{[
[[[1, 25]], 1/6879707136],
[[[2, 25]], 1/6879707136],
[[[1, 1], [2, 24]], 11/2293235712],
[[[1, 2], [2, 23]], 5/71663616],
[[[1, 3], [2, 22]], 1015/1719926784],
[[[1, 4], [2, 21]], 7399/2293235712],
[[[1, 5], [2, 20]], 9169/764411904],
[[[1, 6], [2, 19]], 55/1769472],
[[[1, 7], [2, 18]], 1805/31850496],
[[[1, 7], [3, 9]], 1/5184],
[[[1, 8], [2, 17]], 18601/254803968],
[[[1, 9], [2, 16]], 17921/254803968],
[[[1, 9], [3, 8]], 1/10368],
[[[1, 10], [2, 15]], 271/3981312],
[[[1, 11], [2, 14]], 1823/21233664],
[[[1, 11], [3, 7]], 1/839808],
[[[1, 12], [2, 13]], 13091/127401984],
[[[1, 13], [2, 12]], 13091/127401984],
[[[1, 13], [3, 6]], 19/6718464],
[[[1, 14], [2, 11]], 1823/21233664],
[[[1, 15], [2, 10]], 271/3981312],
[[[1, 15], [3, 5]], 49/17915904],
[[[1, 16], [2, 9]], 17921/254803968],
[[[1, 17], [2, 8]], 18601/254803968],
[[[1, 17], [3, 4]], 593/429981696],
[[[1, 18], [2, 7]], 1805/31850496],
[[[1, 19], [2, 6]], 55/1769472],
[[[1, 19], [3, 3]], 83/214990848],
[[[1, 20], [2, 5]], 9169/764411904],
[[[1, 21], [2, 4]], 7399/2293235712],
[[[1, 21], [3, 2]], 17/286654464],
[[[1, 22], [2, 3]], 1015/1719926784],
[[[1, 23], [2, 2]], 5/71663616],
[[[1, 23], [3, 1]], 1/214990848],
[[[1, 24], [2, 1]], 11/2293235712],
[[[2, 7], [6, 9]], 1/5184],
[[[2, 9], [6, 8]], 1/10368],
[[[2, 11], [6, 7]], 1/839808],
[[[2, 13], [6, 6]], 19/6718464],
[[[2, 15], [6, 5]], 49/17915904],
[[[2, 17], [6, 4]], 593/429981696],
[[[2, 19], [6, 3]], 83/214990848],
[[[2, 21], [6, 2]], 17/286654464],
[[[2, 23], [6, 1]], 1/214990848],
[[[1, 1], [2, 8], [6, 8]], 1/3456],
[[[1, 1], [2, 10], [6, 7]], 1/279936],
[[[1, 1], [2, 12], [6, 6]], 41/2239488],
[[[1, 1], [2, 14], [6, 5]], 55/1990656],
[[[1, 1], [2, 16], [6, 4]], 2759/143327232],
[[[1, 1], [2, 18], [6, 3]], 251/35831808],
[[[1, 1], [2, 20], [6, 2]], 43/31850496],
[[[1, 1], [2, 22], [4, 1]], 1/382205952],
[[[1, 1], [2, 22], [6, 1]], 37/286654464],
[[[1, 2], [2, 9], [6, 7]], 1/279936],
[[[1, 2], [2, 11], [6, 6]], 11/279936],
[[[1, 2], [2, 13], [6, 5]], 619/5971968],
[[[1, 2], [2, 15], [6, 4]], 7645/71663616],
[[[1, 2], [2, 17], [6, 3]], 3767/71663616],
[[[1, 2], [2, 19], [4, 2]], 1/63700992],
[[[1, 2], [2, 19], [6, 2]], 1247/95551488],
[[[1, 2], [2, 21], [4, 1]], 1/14155776],
[[[1, 2], [2, 21], [6, 1]], 445/286654464],
[[[1, 3], [2, 8], [4, 7]], 1/110592],
[[[1, 3], [2, 8], [6, 7]], 1/839808],
[[[1, 3], [2, 10], [6, 6]], 61/1679616],
[[[1, 3], [2, 12], [6, 5]], 3271/17915904],
[[[1, 3], [2, 14], [6, 4]], 64813/214990848],
[[[1, 3], [2, 16], [4, 3]], 1/31850496],
[[[1, 3], [2, 16], [6, 3]], 11399/53747712],
[[[1, 3], [2, 18], [4, 2]], 7/21233664],
[[[1, 3], [2, 18], [6, 2]], 20123/286654464],
[[[1, 3], [2, 20], [4, 1]], 35/42467328],
[[[1, 3], [2, 20], [6, 1]], 9157/859963392],
[[[1, 3], [3, 5], [9, 2]], 1/324],
[[[1, 4], [2, 5], [4, 8]], 1/9216],
[[[1, 4], [2, 7], [4, 7]], 7/110592],
[[[1, 4], [2, 9], [4, 6]], 7/110592],
[[[1, 4], [2, 9], [6, 6]], 31/2239488],
[[[1, 4], [2, 11], [6, 5]], 965/5971968],
[[[1, 4], [2, 13], [4, 4]], 13/1769472],
[[[1, 4], [2, 13], [6, 4]], 5591/11943936],
[[[1, 4], [2, 15], [4, 3]], 5/10616832],
[[[1, 4], [2, 15], [6, 3]], 17989/35831808],
[[[1, 4], [2, 17], [4, 2]], 31/10616832],
[[[1, 4], [2, 17], [6, 2]], 11057/47775744],
[[[1, 4], [2, 19], [4, 1]], 2089/382205952],
[[[1, 4], [2, 19], [6, 1]], 4409/95551488],
[[[1, 5], [2, 4], [4, 8]], 1/9216],
[[[1, 5], [2, 6], [4, 7]], 1/1152],
[[[1, 5], [2, 8], [4, 6]], 49/110592],
[[[1, 5], [2, 8], [6, 6]], 1/746496],
[[[1, 5], [2, 10], [4, 5]], 37/294912],
[[[1, 5], [2, 10], [6, 5]], 137/1990656],
[[[1, 5], [2, 12], [4, 4]], 133/1769472],
[[[1, 5], [2, 12], [6, 4]], 101/248832],
[[[1, 5], [2, 14], [4, 3]], 35/1769472],
[[[1, 5], [2, 14], [6, 3]], 2143/2985984],
[[[1, 5], [2, 16], [4, 2]], 455/31850496],
[[[1, 5], [2, 16], [6, 2]], 7745/15925248],
[[[1, 5], [2, 18], [4, 1]], 1453/63700992],
[[[1, 5], [2, 18], [6, 1]], 2107/15925248],
[[[1, 5], [3, 4], [9, 2]], 1/648],
[[[1, 5], [3, 7], [9, 1]], 5/2592],
[[[1, 6], [2, 5], [4, 7]], 1/1152],
[[[1, 6], [2, 7], [4, 6]], 1/576],
[[[1, 6], [2, 9], [4, 5]], 223/294912],
[[[1, 6], [2, 9], [6, 5]], 23/1990656],
[[[1, 6], [2, 11], [4, 4]], 173/442368],
[[[1, 6], [2, 11], [6, 4]], 1507/7962624],
[[[1, 6], [2, 13], [4, 3]], 3293/15925248],
[[[1, 6], [2, 13], [6, 3]], 821/1327104],
[[[1, 6], [2, 15], [4, 2]], 149/2654208],
[[[1, 6], [2, 15], [6, 2]], 10487/15925248],
[[[1, 6], [2, 17], [4, 1]], 3991/63700992],
[[[1, 6], [2, 17], [6, 1]], 4075/15925248],
[[[1, 7], [2, 4], [4, 7]], 7/110592],
[[[1, 7], [2, 6], [4, 6]], 1/576],
[[[1, 7], [2, 8], [4, 5]], 43/24576],
[[[1, 7], [2, 8], [6, 5]], 1/1990656],
[[[1, 7], [2, 10], [4, 4]], 271/221184],
[[[1, 7], [2, 10], [6, 4]], 337/7962624],
[[[1, 7], [2, 12], [4, 3]], 9811/10616832],
[[[1, 7], [2, 12], [6, 3]], 619/1990656],
[[[1, 7], [2, 14], [4, 2]], 667/2654208],
[[[1, 7], [2, 14], [6, 2]], 9073/15925248],
[[[1, 7], [2, 16], [4, 1]], 7609/63700992],
[[[1, 7], [2, 16], [6, 1]], 5329/15925248],
[[[1, 7], [3, 6], [9, 1]], 5/5184],
[[[1, 8], [2, 1], [3, 8]], 1/3456],
[[[1, 8], [2, 3], [3, 7]], 1/839808],
[[[1, 8], [2, 3], [4, 7]], 1/110592],
[[[1, 8], [2, 5], [3, 6]], 1/746496],
[[[1, 8], [2, 5], [4, 6]], 49/110592],
[[[1, 8], [2, 7], [3, 5]], 1/1990656],
[[[1, 8], [2, 7], [4, 5]], 43/24576],
[[[1, 8], [2, 9], [3, 4]], 1/15925248],
[[[1, 8], [2, 9], [4, 4]], 707/294912],
[[[1, 8], [2, 9], [6, 4]], 19/5308416],
[[[1, 8], [2, 11], [4, 3]], 2581/1179648],
[[[1, 8], [2, 11], [6, 3]], 733/7962624],
[[[1, 8], [2, 13], [3, 2]], 1/995328],
[[[1, 8], [2, 13], [4, 2]], 9595/10616832],
[[[1, 8], [2, 13], [6, 2]], 3371/10616832],
[[[1, 8], [2, 15], [3, 1]], 7/7962624],
[[[1, 8], [2, 15], [4, 1]], 12571/63700992],
[[[1, 8], [2, 15], [6, 1]], 1579/5308416],
[[[1, 9], [2, 2], [3, 7]], 1/279936],
[[[1, 9], [2, 4], [3, 6]], 31/2239488],
[[[1, 9], [2, 4], [4, 6]], 7/110592],
[[[1, 9], [2, 6], [3, 5]], 23/1990656],
[[[1, 9], [2, 6], [4, 5]], 223/294912],
[[[1, 9], [2, 8], [3, 4]], 19/5308416],
[[[1, 9], [2, 8], [4, 4]], 707/294912],
[[[1, 9], [2, 8], [6, 4]], 1/15925248],
[[[1, 9], [2, 10], [3, 3]], 1/2654208],
[[[1, 9], [2, 10], [4, 3]], 85/24576],
[[[1, 9], [2, 10], [6, 3]], 73/3981312],
[[[1, 9], [2, 12], [3, 2]], 1/110592],
[[[1, 9], [2, 12], [4, 2]], 20569/10616832],
[[[1, 9], [2, 12], [6, 2]], 1585/10616832],
[[[1, 9], [2, 14], [3, 1]], 1/98304],
[[[1, 9], [2, 14], [4, 1]], 16337/42467328],
[[[1, 9], [2, 14], [6, 1]], 6577/31850496],
[[[1, 10], [2, 1], [3, 7]], 1/279936],
[[[1, 10], [2, 3], [3, 6]], 61/1679616],
[[[1, 10], [2, 5], [3, 5]], 137/1990656],
[[[1, 10], [2, 5], [4, 5]], 37/294912],
[[[1, 10], [2, 7], [3, 4]], 337/7962624],
[[[1, 10], [2, 7], [4, 4]], 271/221184],
[[[1, 10], [2, 9], [3, 3]], 73/3981312],
[[[1, 10], [2, 9], [4, 3]], 85/24576],
[[[1, 10], [2, 9], [6, 3]], 1/2654208],
[[[1, 10], [2, 11], [3, 2]], 11/393216],
[[[1, 10], [2, 11], [4, 2]], 3151/1179648],
[[[1, 10], [2, 11], [6, 2]], 2429/31850496],
[[[1, 10], [2, 13], [3, 1]], 335/7962624],
[[[1, 10], [2, 13], [4, 1]], 29275/42467328],
[[[1, 10], [2, 13], [6, 1]], 5489/31850496],
[[[1, 11], [2, 2], [3, 6]], 11/279936],
[[[1, 11], [2, 4], [3, 5]], 965/5971968],
[[[1, 11], [2, 6], [3, 4]], 1507/7962624],
[[[1, 11], [2, 6], [4, 4]], 173/442368],
[[[1, 11], [2, 8], [3, 3]], 733/7962624],
[[[1, 11], [2, 8], [4, 3]], 2581/1179648],
[[[1, 11], [2, 10], [3, 2]], 2429/31850496],
[[[1, 11], [2, 10], [4, 2]], 3151/1179648],
[[[1, 11], [2, 10], [6, 2]], 11/393216],
[[[1, 11], [2, 12], [3, 1]], 3007/31850496],
[[[1, 11], [2, 12], [4, 1]], 3131/3538944],
[[[1, 11], [2, 12], [6, 1]], 1601/10616832],
[[[1, 12], [2, 1], [3, 6]], 41/2239488],
[[[1, 12], [2, 3], [3, 5]], 3271/17915904],
[[[1, 12], [2, 5], [3, 4]], 101/248832],
[[[1, 12], [2, 5], [4, 4]], 133/1769472],
[[[1, 12], [2, 7], [3, 3]], 619/1990656],
[[[1, 12], [2, 7], [4, 3]], 9811/10616832],
[[[1, 12], [2, 9], [3, 2]], 1585/10616832],
[[[1, 12], [2, 9], [4, 2]], 20569/10616832],
[[[1, 12], [2, 9], [6, 2]], 1/110592],
[[[1, 12], [2, 11], [3, 1]], 1601/10616832],
[[[1, 12], [2, 11], [4, 1]], 3131/3538944],
[[[1, 12], [2, 11], [6, 1]], 3007/31850496],
[[[1, 13], [2, 2], [3, 5]], 619/5971968],
[[[1, 13], [2, 4], [3, 4]], 5591/11943936],
[[[1, 13], [2, 4], [4, 4]], 13/1769472],
[[[1, 13], [2, 6], [3, 3]], 821/1327104],
[[[1, 13], [2, 6], [4, 3]], 3293/15925248],
[[[1, 13], [2, 8], [3, 2]], 3371/10616832],
[[[1, 13], [2, 8], [4, 2]], 9595/10616832],
[[[1, 13], [2, 8], [6, 2]], 1/995328],
[[[1, 13], [2, 10], [3, 1]], 5489/31850496],
[[[1, 13], [2, 10], [4, 1]], 29275/42467328],
[[[1, 13], [2, 10], [6, 1]], 335/7962624],
[[[1, 14], [2, 1], [3, 5]], 55/1990656],
[[[1, 14], [2, 3], [3, 4]], 64813/214990848],
[[[1, 14], [2, 5], [3, 3]], 2143/2985984],
[[[1, 14], [2, 5], [4, 3]], 35/1769472],
[[[1, 14], [2, 7], [3, 2]], 9073/15925248],
[[[1, 14], [2, 7], [4, 2]], 667/2654208],
[[[1, 14], [2, 9], [3, 1]], 6577/31850496],
[[[1, 14], [2, 9], [4, 1]], 16337/42467328],
[[[1, 14], [2, 9], [6, 1]], 1/98304],
[[[1, 15], [2, 2], [3, 4]], 7645/71663616],
[[[1, 15], [2, 4], [3, 3]], 17989/35831808],
[[[1, 15], [2, 4], [4, 3]], 5/10616832],
[[[1, 15], [2, 6], [3, 2]], 10487/15925248],
[[[1, 15], [2, 6], [4, 2]], 149/2654208],
[[[1, 15], [2, 8], [3, 1]], 1579/5308416],
[[[1, 15], [2, 8], [4, 1]], 12571/63700992],
[[[1, 15], [2, 8], [6, 1]], 7/7962624],
[[[1, 16], [2, 1], [3, 4]], 2759/143327232],
[[[1, 16], [2, 3], [3, 3]], 11399/53747712],
[[[1, 16], [2, 3], [4, 3]], 1/31850496],
[[[1, 16], [2, 5], [3, 2]], 7745/15925248],
[[[1, 16], [2, 5], [4, 2]], 455/31850496],
[[[1, 16], [2, 7], [3, 1]], 5329/15925248],
[[[1, 16], [2, 7], [4, 1]], 7609/63700992],
[[[1, 17], [2, 2], [3, 3]], 3767/71663616],
[[[1, 17], [2, 4], [3, 2]], 11057/47775744],
[[[1, 17], [2, 4], [4, 2]], 31/10616832],
[[[1, 17], [2, 6], [3, 1]], 4075/15925248],
[[[1, 17], [2, 6], [4, 1]], 3991/63700992],
[[[1, 18], [2, 1], [3, 3]], 251/35831808],
[[[1, 18], [2, 3], [3, 2]], 20123/286654464],
[[[1, 18], [2, 3], [4, 2]], 7/21233664],
[[[1, 18], [2, 5], [3, 1]], 2107/15925248],
[[[1, 18], [2, 5], [4, 1]], 1453/63700992],
[[[1, 19], [2, 2], [3, 2]], 1247/95551488],
[[[1, 19], [2, 2], [4, 2]], 1/63700992],
[[[1, 19], [2, 4], [3, 1]], 4409/95551488],
[[[1, 19], [2, 4], [4, 1]], 2089/382205952],
[[[1, 20], [2, 1], [3, 2]], 43/31850496],
[[[1, 20], [2, 3], [3, 1]], 9157/859963392],
[[[1, 20], [2, 3], [4, 1]], 35/42467328],
[[[1, 21], [2, 2], [3, 1]], 445/286654464],
[[[1, 21], [2, 2], [4, 1]], 1/14155776],
[[[1, 22], [2, 1], [3, 1]], 37/286654464],
[[[1, 22], [2, 1], [4, 1]], 1/382205952],
[[[2, 3], [6, 5], [18, 2]], 1/324],
[[[2, 5], [6, 4], [18, 2]], 1/648],
[[[2, 5], [6, 7], [18, 1]], 5/2592],
[[[2, 7], [6, 6], [18, 1]], 5/5184],
[[[1, 1], [2, 4], [6, 4], [18, 2]], 1/216],
[[[1, 1], [2, 6], [3, 1], [6, 8]], 5/2592],
[[[1, 1], [2, 6], [6, 6], [18, 1]], 5/1728],
[[[1, 1], [2, 8], [3, 1], [6, 7]], 5/5184],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 1/373248],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 1/165888],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 43/7962624],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 29/11943936],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 1/1769472],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 1/15925248],
[[[1, 2], [2, 5], [3, 2], [6, 7]], 5/864],
[[[1, 2], [2, 7], [3, 1], [6, 7]], 5/1728],
[[[1, 2], [2, 7], [3, 2], [6, 6]], 5/1728],
[[[1, 2], [2, 7], [4, 6], [8, 1]], 1/36864],
[[[1, 2], [2, 9], [4, 1], [6, 6]], 1/124416],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 1/497664],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 19/497664],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 17/3981312],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 421/7962624],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 7/1990656],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 65/1990656],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 11/7962624],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 157/15925248],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 1/3981312],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 11/7962624],
[[[1, 3], [2, 4], [3, 3], [6, 6]], 5/864],
[[[1, 3], [2, 4], [3, 5], [6, 4]], 1/576],
[[[1, 3], [2, 4], [4, 7], [8, 1]], 1/3072],
[[[1, 3], [2, 6], [3, 2], [6, 6]], 5/576],
[[[1, 3], [2, 6], [3, 3], [6, 5]], 5/1728],
[[[1, 3], [2, 6], [4, 6], [8, 1]], 7/36864],
[[[1, 3], [2, 6], [4, 7], [6, 1]], 1/13824],
[[[1, 3], [2, 8], [4, 1], [6, 6]], 1/124416],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 1/165888],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 1/1990656],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 1/6144],
[[[1, 3], [2, 8], [4, 5], [8, 1]], 7/36864],
[[[1, 3], [2, 8], [4, 5], [12, 1]], 1/13824],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 5/62208],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 35/1327104],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 1/995328],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 1531/7962624],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 11/331776],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 1/1327104],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 1/221184],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 347/1990656],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 47/2654208],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 1/3981312],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 283/3981312],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 11/2654208],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 205/15925248],
[[[1, 4], [2, 1], [3, 4], [9, 2]], 1/216],
[[[1, 4], [2, 3], [3, 4], [6, 5]], 1/576],
[[[1, 4], [2, 3], [3, 6], [6, 3]], 5/864],
[[[1, 4], [2, 3], [4, 7], [8, 1]], 1/3072],
[[[1, 4], [2, 5], [3, 3], [6, 5]], 5/576],
[[[1, 4], [2, 5], [3, 4], [6, 4]], 1/288],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 1/512],
[[[1, 4], [2, 5], [4, 6], [8, 1]], 1/384],
[[[1, 4], [2, 5], [4, 6], [12, 1]], 1/1152],
[[[1, 4], [2, 5], [4, 7], [6, 1]], 1/13824],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 1/7776],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 1/31104],
[[[1, 4], [2, 7], [3, 4], [6, 3]], 1/31104],
[[[1, 4], [2, 7], [4, 1], [6, 6]], 1/373248],
[[[1, 4], [2, 7], [4, 2], [6, 5]], 1/165888],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 1/663552],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 7/6144],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 1/13824],
[[[1, 4], [2, 7], [4, 5], [8, 1]], 49/36864],
[[[1, 4], [2, 7], [4, 5], [12, 1]], 7/13824],
[[[1, 4], [2, 7], [4, 6], [6, 1]], 7/13824],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 13/82944],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 1/31104],
[[[1, 4], [2, 9], [3, 4], [6, 2]], 1/248832],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 1/13824],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 1/18432],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 1/6144],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 1/165888],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 1/12288],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 1/3072],
[[[1, 4], [2, 9], [4, 4], [12, 1]], 1/13824],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 37/663552],
[[[1, 4], [2, 11], [3, 3], [6, 2]], 7/1990656],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 2605/7962624],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 77/663552],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 1/147456],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 13/221184],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 5/73728],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 19/3981312],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 2827/5971968],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 239/2654208],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 1/165888],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 1/331776],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 365/1327104],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 25/884736],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 265/3981312],
[[[1, 5], [2, 2], [3, 7], [6, 2]], 5/864],
[[[1, 5], [2, 4], [3, 1], [4, 7]], 1/13824],
[[[1, 5], [2, 4], [3, 4], [6, 4]], 1/288],
[[[1, 5], [2, 4], [3, 5], [6, 3]], 5/576],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 1/512],
[[[1, 5], [2, 4], [4, 6], [8, 1]], 1/384],
[[[1, 5], [2, 4], [4, 6], [12, 1]], 1/1152],
[[[1, 5], [2, 6], [3, 2], [4, 5]], 1/18432],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 1/7776],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 1/10368],
[[[1, 5], [2, 6], [3, 4], [4, 3]], 1/1990656],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 1/10368],
[[[1, 5], [2, 6], [4, 2], [6, 5]], 1/497664],
[[[1, 5], [2, 6], [4, 3], [6, 4]], 1/663552],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 1/256],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 1/13824],
[[[1, 5], [2, 6], [4, 5], [6, 2]], 1/18432],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 3/512],
[[[1, 5], [2, 6], [4, 5], [12, 1]], 1/576],
[[[1, 5], [2, 6], [4, 6], [6, 1]], 7/13824],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 19/27648],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 1/5184],
[[[1, 5], [2, 8], [3, 4], [6, 2]], 1/27648],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 13/497664],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 47/995328],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 7/6144],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 7/27648],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 13/36864],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 7/3072],
[[[1, 5], [2, 8], [4, 4], [12, 1]], 7/13824],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 13/18432],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 299/663552],
[[[1, 5], [2, 10], [3, 3], [6, 2]], 1/24576],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 2197/7962624],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 47/248832],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 77/221184],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 49/110592],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 25/73728],
[[[1, 5], [2, 12], [3, 1], [4, 3]], 1/73728],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 125/1990656],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 349/497664],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 1847/7962624],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 13/165888],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 247/1327104],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 4949/7962624],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 1/663552],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 821/7962624],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 1673/7962624],
[[[1, 6], [2, 1], [3, 6], [9, 1]], 5/1728],
[[[1, 6], [2, 1], [3, 8], [6, 1]], 5/2592],
[[[1, 6], [2, 3], [3, 1], [4, 7]], 1/13824],
[[[1, 6], [2, 3], [3, 5], [6, 3]], 5/1728],
[[[1, 6], [2, 3], [3, 6], [6, 2]], 5/576],
[[[1, 6], [2, 3], [4, 6], [8, 1]], 7/36864],
[[[1, 6], [2, 5], [3, 1], [4, 6]], 7/13824],
[[[1, 6], [2, 5], [3, 2], [4, 5]], 1/18432],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 1/13824],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 1/10368],
[[[1, 6], [2, 5], [3, 4], [4, 3]], 1/663552],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 1/10368],
[[[1, 6], [2, 5], [3, 5], [4, 2]], 1/497664],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 1/7776],
[[[1, 6], [2, 5], [4, 3], [6, 4]], 1/1990656],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 1/256],
[[[1, 6], [2, 5], [4, 5], [6, 2]], 1/18432],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 3/512],
[[[1, 6], [2, 5], [4, 5], [12, 1]], 1/576],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 1/6144],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 23/110592],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 5/7776],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 1/331776],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 13/31104],
[[[1, 6], [2, 7], [3, 4], [4, 2]], 1/1327104],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 1/6912],
[[[1, 6], [2, 7], [4, 1], [6, 5]], 1/497664],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 7/442368],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 1/512],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 125/497664],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 53/110592],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 3/512],
[[[1, 6], [2, 7], [4, 4], [12, 1]], 1/1152],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 1/1152],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 1/12288],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 5/62208],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 805/663552],
[[[1, 6], [2, 9], [3, 3], [6, 2]], 133/663552],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 859/7962624],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 259/663552],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 911/663552],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 193/110592],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 253/221184],
[[[1, 6], [2, 11], [3, 1], [4, 3]], 1/8192],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 17/165888],
[[[1, 6], [2, 11], [3, 2], [4, 2]], 1/110592],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 439/1327104],
[[[1, 6], [2, 11], [3, 3], [6, 1]], 1/248832],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 1135/1990656],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 581/884736],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 41/110592],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 1159/995328],
[[[1, 6], [2, 13], [3, 1], [4, 2]], 5/294912],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 25/663552],
[[[1, 6], [2, 13], [3, 2], [6, 1]], 7/1990656],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 6689/7962624],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 13/663552],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 3/8192],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 13/3981312],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 209/497664],
[[[1, 7], [2, 2], [3, 6], [6, 2]], 5/1728],
[[[1, 7], [2, 2], [3, 7], [6, 1]], 5/1728],
[[[1, 7], [2, 2], [4, 6], [8, 1]], 1/36864],
[[[1, 7], [2, 4], [3, 1], [4, 6]], 7/13824],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 1/13824],
[[[1, 7], [2, 4], [3, 3], [6, 4]], 1/31104],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 1/663552],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 1/31104],
[[[1, 7], [2, 4], [3, 5], [4, 2]], 1/165888],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 1/7776],
[[[1, 7], [2, 4], [3, 6], [4, 1]], 1/373248],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 7/6144],
[[[1, 7], [2, 4], [4, 5], [8, 1]], 49/36864],
[[[1, 7], [2, 4], [4, 5], [12, 1]], 7/13824],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 1/1152],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 53/110592],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 1/6912],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 125/497664],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 13/31104],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 7/442368],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 5/7776],
[[[1, 7], [2, 6], [3, 5], [4, 1]], 1/497664],
[[[1, 7], [2, 6], [4, 2], [6, 4]], 1/1327104],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 1/512],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 1/331776],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 23/110592],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 3/512],
[[[1, 7], [2, 6], [4, 4], [12, 1]], 1/1152],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 1/6144],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 1/1152],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 5/62208],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 49/147456],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 91/73728],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 1/221184],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 1153/1990656],
[[[1, 7], [2, 8], [3, 4], [4, 1]], 1/2654208],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 13/884736],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 97/331776],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 67/49152],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 113/36864],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 367/221184],
[[[1, 7], [2, 10], [3, 1], [4, 3]], 1/2304],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 25/55296],
[[[1, 7], [2, 10], [3, 2], [4, 2]], 1/12288],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 371/442368],
[[[1, 7], [2, 10], [3, 3], [6, 1]], 1/27648],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 637/1990656],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 163/98304],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 29/36864],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 1289/442368],
[[[1, 7], [2, 12], [3, 1], [4, 2]], 17/98304],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 203/663552],
[[[1, 7], [2, 12], [3, 2], [4, 1]], 1/165888],
[[[1, 7], [2, 12], [3, 2], [6, 1]], 1/24576],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 1043/1327104],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 5/55296],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 455/331776],
[[[1, 7], [2, 14], [3, 1], [4, 1]], 1/147456],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 43/995328],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 515/884736],
[[[1, 8], [2, 1], [3, 7], [6, 1]], 5/5184],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 1/1990656],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 1/165888],
[[[1, 8], [2, 3], [3, 6], [4, 1]], 1/124416],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 1/6144],
[[[1, 8], [2, 3], [4, 5], [8, 1]], 7/36864],
[[[1, 8], [2, 3], [4, 5], [12, 1]], 1/13824],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 13/18432],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 13/36864],
[[[1, 8], [2, 5], [3, 2], [6, 4]], 1/27648],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 7/27648],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 1/5184],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 47/995328],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 19/27648],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 13/497664],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 7/6144],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 7/3072],
[[[1, 8], [2, 5], [4, 4], [12, 1]], 7/13824],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 367/221184],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 67/49152],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 1153/1990656],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 97/331776],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 91/73728],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 13/884736],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 5/62208],
[[[1, 8], [2, 7], [4, 1], [6, 4]], 1/2654208],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 1/221184],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 49/147456],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 113/36864],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 1/1152],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 83/49152],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 221/497664],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 1099/2654208],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 1585/1327104],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 1/442368],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 7/55296],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 247/1990656],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 3985/2654208],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 1/1024],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 27/8192],
[[[1, 8], [2, 11], [3, 1], [4, 2]], 21/32768],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 61/73728],
[[[1, 8], [2, 11], [3, 2], [4, 1]], 1/18432],
[[[1, 8], [2, 11], [3, 2], [6, 1]], 13/73728],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 1063/1327104],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 5/27648],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 4073/1327104],
[[[1, 8], [2, 13], [3, 1], [4, 1]], 11/147456],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 287/1327104],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 59/73728],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 1/497664],
[[[1, 9], [2, 2], [3, 6], [4, 1]], 1/124416],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 1/12288],
[[[1, 9], [2, 4], [3, 2], [6, 4]], 1/248832],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 1/165888],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 1/31104],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 1/18432],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 13/82944],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 1/13824],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 1/6144],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 1/3072],
[[[1, 9], [2, 4], [4, 4], [12, 1]], 1/13824],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 253/221184],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 911/663552],
[[[1, 9], [2, 6], [3, 2], [6, 3]], 133/663552],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 259/663552],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 805/663552],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 859/7962624],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 5/62208],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 193/110592],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 1/12288],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 27/8192],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 7/55296],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 3985/2654208],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 1585/1327104],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 247/1990656],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 221/497664],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 1/442368],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 1099/2654208],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 1/1024],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 83/49152],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 761/442368],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 193/221184],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 1019/5308416],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 901/1990656],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 1045/1769472],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 7/36864],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 2137/663552],
[[[1, 9], [2, 12], [3, 1], [4, 1]], 391/1327104],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 227/442368],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 6467/5308416],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 1/373248],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 1/995328],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 35/1327104],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 5/62208],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 25/73728],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 77/221184],
[[[1, 10], [2, 5], [3, 2], [6, 3]], 1/24576],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 47/248832],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 299/663552],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 2197/7962624],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 49/110592],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 1289/442368],
[[[1, 10], [2, 7], [3, 1], [6, 3]], 1/27648],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 163/98304],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 371/442368],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 637/1990656],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 25/55296],
[[[1, 10], [2, 7], [4, 2], [6, 2]], 1/12288],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 29/36864],
[[[1, 10], [2, 7], [4, 3], [6, 1]], 1/2304],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 2137/663552],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 901/1990656],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 1045/1769472],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 193/221184],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 1019/5308416],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 7/36864],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 761/442368],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 1237/1769472],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 917/1327104],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 3205/2654208],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 17/3981312],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 19/497664],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 5/73728],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 1/147456],
[[[1, 11], [2, 4], [3, 2], [6, 3]], 7/1990656],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 77/663552],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 37/663552],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 2605/7962624],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 13/221184],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 1159/995328],
[[[1, 11], [2, 6], [3, 1], [6, 3]], 1/248832],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 581/884736],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 439/1327104],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 1135/1990656],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 17/165888],
[[[1, 11], [2, 6], [4, 2], [6, 2]], 1/110592],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 41/110592],
[[[1, 11], [2, 6], [4, 3], [6, 1]], 1/8192],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 4073/1327104],
[[[1, 11], [2, 8], [3, 1], [6, 2]], 13/73728],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 1063/1327104],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 61/73728],
[[[1, 11], [2, 8], [4, 1], [6, 2]], 1/18432],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 5/27648],
[[[1, 11], [2, 8], [4, 2], [6, 1]], 21/32768],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 3205/2654208],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 917/1327104],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 1237/1769472],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 1/165888],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 1/1327104],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 11/331776],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 1531/7962624],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 1/221184],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 247/1327104],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 1847/7962624],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 125/1990656],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 349/497664],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 13/165888],
[[[1, 12], [2, 5], [4, 3], [6, 1]], 1/73728],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 455/331776],
[[[1, 12], [2, 7], [3, 1], [6, 2]], 1/24576],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 1043/1327104],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 203/663552],
[[[1, 12], [2, 7], [4, 1], [6, 2]], 1/165888],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 5/55296],
[[[1, 12], [2, 7], [4, 2], [6, 1]], 17/98304],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 6467/5308416],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 227/442368],
[[[1, 12], [2, 9], [4, 1], [6, 1]], 391/1327104],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 7/1990656],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 421/7962624],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 1/331776],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 239/2654208],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 19/3981312],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 2827/5971968],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 1/165888],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 3/8192],
[[[1, 13], [2, 6], [3, 1], [6, 2]], 7/1990656],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 6689/7962624],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 25/663552],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 13/663552],
[[[1, 13], [2, 6], [4, 2], [6, 1]], 5/294912],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 59/73728],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 287/1327104],
[[[1, 13], [2, 8], [4, 1], [6, 1]], 11/147456],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 43/7962624],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 1/3981312],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 47/2654208],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 347/1990656],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 821/7962624],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 4949/7962624],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 1/663552],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 515/884736],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 43/995328],
[[[1, 14], [2, 7], [4, 1], [6, 1]], 1/147456],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 11/7962624],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 65/1990656],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 25/884736],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 365/1327104],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 209/497664],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 13/3981312],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 29/11943936],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 11/2654208],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 283/3981312],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 1673/7962624],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 1/3981312],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 157/15925248],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 265/3981312],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 1/1769472],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 205/15925248],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 11/7962624],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 1/15925248],
[[[1, 1], [2, 2], [3, 1], [6, 4], [18, 2]], 1/324],
[[[1, 1], [2, 4], [3, 1], [6, 3], [18, 2]], 1/648],
[[[1, 1], [2, 4], [3, 1], [6, 6], [18, 1]], 23/2592],
[[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 23/5184],
[[[1, 2], [2, 1], [3, 4], [6, 1], [9, 2]], 1/324],
[[[1, 2], [2, 3], [3, 1], [6, 3], [18, 2]], 1/216],
[[[1, 2], [2, 3], [3, 2], [6, 5], [18, 1]], 7/864],
[[[1, 2], [2, 3], [3, 4], [6, 3], [9, 1]], 1/864],
[[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 23/1728],
[[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 7/1728],
[[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 1/4608],
[[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 1/4608],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 1/55296],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/442368],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 2]], 1/216],
[[[1, 3], [2, 2], [3, 3], [6, 4], [18, 1]], 1/864],
[[[1, 3], [2, 2], [3, 5], [6, 2], [9, 1]], 7/864],
[[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 7/576],
[[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 1/576],
[[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 1/1728],
[[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 1/384],
[[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 1/4608],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 1/20736],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/7776],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 1/768],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 1/6912],
[[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 7/4608],
[[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 7/4608],
[[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 1/1728],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 1/18432],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 7/41472],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 1/18432],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 1/73728],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1/20736],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 1/6144],
[[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 1/13824],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 1/13824],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 1/49152],
[[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 1/165888],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 1/18432],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 11/1327104],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 53/7962624],
[[[1, 4], [2, 1], [3, 3], [6, 1], [9, 2]], 1/648],
[[[1, 4], [2, 1], [3, 6], [6, 1], [9, 1]], 23/2592],
[[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 1/576],
[[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 7/576],
[[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 1/384],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 1/20736],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 1/27648],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/7776],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 1/10368],
[[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 1/9216],
[[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 1/10368],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 1/768],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 1/6912],
[[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 1/9216],
[[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 1/192],
[[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 7/4608],
[[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 1/1728],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 7/20736],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 13/55296],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 1/27648],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 29/41472],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 31/165888],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 1/24576],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 1/6912],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 1/27648],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 1/768],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 1/5184],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 13/18432],
[[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 7/4608],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 23/9216],
[[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 1/1728],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 25/55296],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 17/55296],
[[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 11/221184],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 11/20736],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 5/20736],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 1/18432],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 1/4608],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 1/2304],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 1/4608],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 107/1327104],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 659/7962624],
[[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 1/55296],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 1/13824],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 55/2654208],
[[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 7/1728],
[[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 23/1728],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 1/768],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 1/27648],
[[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 7/4608],
[[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 1/10368],
[[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 1/9216],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 1/27648],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 1/10368],
[[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/7776],
[[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 1/9216],
[[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 1/192],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 7/20736],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 25/55296],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 1/6912],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 1/3072],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 29/41472],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 85/165888],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 1/18432],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 11/55296],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 1/9216],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 1/5184],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 11/27648],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 5/18432],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 7/41472],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 1/768],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 1/5184],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 41/55296],
[[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 1/384],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 13/4608],
[[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 1/1728],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 23/62208],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 103/55296],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 49/55296],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 41/221184],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 247/165888],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 257/331776],
[[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 1/9216],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 11/41472],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 1/20736],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 13/13824],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 1/432],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 79/165888],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 83/55296],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 109/221184],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 719/1327104],
[[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 1/6144],
[[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 1/82944],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 1/18432],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 1/1728],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 41/221184],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 661/2654208],
[[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 11/663552],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 1/55296],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 131/7962624],
[[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 23/5184],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 1/768],
[[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 7/4608],
[[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 1/1728],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 1/20736],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/7776],
[[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 7/4608],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 1/768],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 5/18432],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 1/9216],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 13/4608],
[[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 1/1728],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 7/41472],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 11/27648],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 1/18432],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 41/55296],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 1/6912],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 1/5184],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 85/165888],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 1/5184],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 25/55296],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 29/41472],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 7/20736],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 11/55296],
[[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 1/384],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 1/3072],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 23/62208],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 313/165888],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 31/18432],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 11/18432],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 7/18432],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 307/165888],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 317/221184],
[[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 1/9216],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 7/6144],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 43/41472],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 79/165888],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 1/20736],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 23/27648],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 35/13824],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 341/165888],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 329/82944],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 37/24576],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 2225/1327104],
[[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 17/27648],
[[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 1/9216],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 13/55296],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 41/27648],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 961/663552],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 1745/1327104],
[[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 13/73728],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 1/6912],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 1691/7962624],
[[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 1/4608],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 1/768],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 23/9216],
[[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 1/1728],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 1/27648],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 1/24576],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 13/18432],
[[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 1/27648],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 1/6912],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 31/165888],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 1/5184],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 13/55296],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 29/41472],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 7/20736],
[[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 7/4608],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 79/165888],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 7/6144],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 35/13824],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 7/18432],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 43/41472],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 317/221184],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 23/27648],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 31/18432],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 307/165888],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 1/20736],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 313/165888],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 23/62208],
[[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 1/9216],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 11/18432],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 331/165888],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 389/82944],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 1/3072],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 223/73728],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 985/331776],
[[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 1/55296],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 137/55296],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 85/165888],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 11/55296],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 1/768],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 2563/663552],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 4619/1327104],
[[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 479/663552],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 5/13824],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 89/82944],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 1/73728],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 1/6144],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1/20736],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 1/18432],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 1/18432],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 7/41472],
[[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 1/4608],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 1/9216],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 1/432],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 41/221184],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 11/41472],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 257/331776],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 13/13824],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 49/55296],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 247/165888],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 1/20736],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 103/55296],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 23/62208],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 85/165888],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 137/55296],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 1/768],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 223/73728],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 985/331776],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 11/55296],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 389/82944],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 331/165888],
[[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 1/55296],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 1/3072],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 2725/663552],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 1/18432],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 1285/221184],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 1373/663552],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 1/3456],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 433/165888],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 1/55296],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 1/2304],
[[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 11/221184],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 1/18432],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 5/20736],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 1/4608],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 17/55296],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 11/20736],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 25/55296],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 1/9216],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 17/27648],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 41/27648],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 37/24576],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 2225/1327104],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 13/55296],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 329/82944],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 341/165888],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 1373/663552],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 1/3456],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 1285/221184],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 2725/663552],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 1/18432],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 4963/1327104],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 1/18432],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 1/165888],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 1/49152],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 1/13824],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 1/13824],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 1/82944],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 1/6144],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 1/1728],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 109/221184],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 719/1327104],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 1/18432],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 83/55296],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 79/165888],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 479/663552],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 5/13824],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 4619/1327104],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 2563/663552],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 4963/1327104],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/442368],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 1/55296],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 1/13824],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 107/1327104],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 659/7962624],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 1/4608],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 13/73728],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 1/6912],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 1745/1327104],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 961/663552],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 433/165888],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 11/1327104],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 53/7962624],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 11/663552],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 1/55296],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 661/2654208],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 41/221184],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 89/82944],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 55/2654208],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 1691/7962624],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 131/7962624],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [12, 1]], 1/864],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 1/864],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 1/6912],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [12, 1]], 1/1728],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 1/6912],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 1/864],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 1/576],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 1/216],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [12, 1]], 1/288],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 1/576],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 1/864],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 1/10368],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 7/6912],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 7/6912],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 7/55296],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 1/432],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 1/576],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 1/6912],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 1/9216],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 7/55296],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 1/27648],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 1/331776],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 1/576],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 1/288],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [12, 1]], 1/216],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 1/864],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/288],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 7/6912],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 1/576],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 1/144],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 1/144],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 1/13824],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 1/576],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/10368],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 7/6912],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 13/27648],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/768],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 49/55296],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 1/576],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1/9216],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1/3456],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 1/55296],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 1/6144],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 1/27648],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 13/331776],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1/331776],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 1/864],
[[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 1], [3, 6], [4, 1], [6, 1], [12, 1]], 1/864],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/288],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 1/576],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 1/576],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/864],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 7/6912],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 1/144],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 1/144],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 1/576],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 13/27648],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1/768],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 1/288],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/9216],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 1/576],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 13/27648],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 11/13824],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 1/2304],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 7/55296],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 7/6144],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 1/3456],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 11/55296],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 13/331776],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 7/6912],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 1/576],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 7/55296],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/864],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 7/6912],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 1/432],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 1/10368],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 1/576],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1/576],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/9216],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 1/576],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1/288],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 1/768],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 13/27648],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 1/10368],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 11/27648],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 1/1152],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 1/2304],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2304],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 1/384],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 1/3072],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 1/27648],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 5/6912],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 1/2048],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 7/18432],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 5/27648],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/6912],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/55296],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 1/1728],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 7/6912],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 1/576],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 49/55296],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 1/768],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 13/27648],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/10368],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 1/27648],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 1/3072],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2304],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1/384],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 1/1152],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 1/2304],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 11/27648],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 1/1728],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 5/6144],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1536],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 1/9216],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 5/13824],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/6912],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 7/55296],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 1/9216],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 7/55296],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 7/6144],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 11/13824],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 1/2304],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 13/27648],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 1/9216],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 5/6144],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1536],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 1/1728],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 7/18432],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 1/55296],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 1/6144],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 1/3456],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1/9216],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 1/2048],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 7/18432],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 5/6912],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 7/18432],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 1/27648],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 11/55296],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 1/18432],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 1/3456],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 5/13824],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 13/331776],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 1/27648],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 5/27648],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/331776],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 13/331776],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1/331776],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1], [18, 1]], 1/432],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1], [12, 1]], 1/432],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/864],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 1/432],
[[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1], [12, 1]], 1/432],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/288],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/288],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/288],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/288],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/768],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7/9216],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/768],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1152],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/384],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/9216],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1152],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/384],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1152],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/768],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7/9216],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1152],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/768],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/9216],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/9216]
]}