Identifier
Images
[[],[]] => ([],0)
[[1],[]] => ([],1)
[[2],[]] => ([(0,1)],2)
[[1,1],[]] => ([(0,1)],2)
[[2,1],[1]] => ([],2)
[[3],[]] => ([(0,2),(2,1)],3)
[[2,1],[]] => ([(0,1),(0,2)],3)
[[3,1],[1]] => ([(1,2)],3)
[[2,2],[1]] => ([(0,2),(1,2)],3)
[[3,2],[2]] => ([(1,2)],3)
[[1,1,1],[]] => ([(0,2),(2,1)],3)
[[2,2,1],[1,1]] => ([(1,2)],3)
[[2,1,1],[1]] => ([(1,2)],3)
[[3,2,1],[2,1]] => ([],3)
[[4],[]] => ([(0,3),(2,1),(3,2)],4)
[[3,1],[]] => ([(0,2),(0,3),(3,1)],4)
[[4,1],[1]] => ([(1,2),(2,3)],4)
[[2,2],[]] => ([(0,1),(0,2),(1,3),(2,3)],4)
[[3,2],[1]] => ([(0,3),(1,2),(1,3)],4)
[[4,2],[2]] => ([(0,3),(1,2)],4)
[[2,1,1],[]] => ([(0,2),(0,3),(3,1)],4)
[[3,2,1],[1,1]] => ([(1,2),(1,3)],4)
[[3,1,1],[1]] => ([(0,3),(1,2)],4)
[[4,2,1],[2,1]] => ([(2,3)],4)
[[3,3],[2]] => ([(0,3),(1,2),(2,3)],4)
[[4,3],[3]] => ([(1,2),(2,3)],4)
[[2,2,1],[1]] => ([(0,3),(1,2),(1,3)],4)
[[3,3,1],[2,1]] => ([(1,3),(2,3)],4)
[[3,2,1],[2]] => ([(1,2),(1,3)],4)
[[4,3,1],[3,1]] => ([(2,3)],4)
[[2,2,2],[1,1]] => ([(0,3),(1,2),(2,3)],4)
[[3,3,2],[2,2]] => ([(0,3),(1,2)],4)
[[3,2,2],[2,1]] => ([(1,3),(2,3)],4)
[[4,3,2],[3,2]] => ([(2,3)],4)
[[1,1,1,1],[]] => ([(0,3),(2,1),(3,2)],4)
[[2,2,2,1],[1,1,1]] => ([(1,2),(2,3)],4)
[[2,2,1,1],[1,1]] => ([(0,3),(1,2)],4)
[[3,3,2,1],[2,2,1]] => ([(2,3)],4)
[[2,1,1,1],[1]] => ([(1,2),(2,3)],4)
[[3,2,2,1],[2,1,1]] => ([(2,3)],4)
[[3,2,1,1],[2,1]] => ([(2,3)],4)
[[4,3,2,1],[3,2,1]] => ([],4)
[[5],[]] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[4,1],[]] => ([(0,2),(0,4),(3,1),(4,3)],5)
[[5,1],[1]] => ([(1,4),(3,2),(4,3)],5)
[[3,2],[]] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)
[[4,2],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5)
[[5,2],[2]] => ([(0,3),(1,4),(4,2)],5)
[[3,1,1],[]] => ([(0,3),(0,4),(3,2),(4,1)],5)
[[4,2,1],[1,1]] => ([(1,3),(1,4),(4,2)],5)
[[4,1,1],[1]] => ([(0,3),(1,4),(4,2)],5)
[[5,2,1],[2,1]] => ([(2,3),(3,4)],5)
[[3,3],[1]] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[4,3],[2]] => ([(0,3),(1,2),(1,4),(3,4)],5)
[[5,3],[3]] => ([(0,3),(1,4),(4,2)],5)
[[2,2,1],[]] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)
[[3,3,1],[1,1]] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[3,2,1],[1]] => ([(0,3),(0,4),(1,2),(1,4)],5)
[[4,3,1],[2,1]] => ([(1,4),(2,3),(2,4)],5)
[[4,2,1],[2]] => ([(0,4),(1,2),(1,3)],5)
[[5,3,1],[3,1]] => ([(1,4),(2,3)],5)
[[3,2,2],[1,1]] => ([(0,4),(1,2),(1,3),(3,4)],5)
[[4,3,2],[2,2]] => ([(0,4),(1,2),(1,3)],5)
[[4,2,2],[2,1]] => ([(0,4),(1,4),(2,3)],5)
[[5,3,2],[3,2]] => ([(1,4),(2,3)],5)
[[2,1,1,1],[]] => ([(0,2),(0,4),(3,1),(4,3)],5)
[[3,2,2,1],[1,1,1]] => ([(1,3),(1,4),(4,2)],5)
[[3,2,1,1],[1,1]] => ([(0,4),(1,2),(1,3)],5)
[[4,3,2,1],[2,2,1]] => ([(2,3),(2,4)],5)
[[3,1,1,1],[1]] => ([(0,3),(1,4),(4,2)],5)
[[4,2,2,1],[2,1,1]] => ([(1,4),(2,3)],5)
[[4,2,1,1],[2,1]] => ([(1,4),(2,3)],5)
[[5,3,2,1],[3,2,1]] => ([(3,4)],5)
[[4,4],[3]] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[5,4],[4]] => ([(1,4),(3,2),(4,3)],5)
[[3,3,1],[2]] => ([(0,4),(1,2),(1,3),(3,4)],5)
[[4,4,1],[3,1]] => ([(1,4),(2,3),(3,4)],5)
[[4,3,1],[3]] => ([(1,3),(1,4),(4,2)],5)
[[5,4,1],[4,1]] => ([(2,3),(3,4)],5)
[[2,2,2],[1]] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[3,3,2],[2,1]] => ([(0,4),(1,3),(2,3),(2,4)],5)
[[4,4,2],[3,2]] => ([(0,4),(1,4),(2,3)],5)
[[3,2,2],[2]] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[4,3,2],[3,1]] => ([(1,4),(2,3),(2,4)],5)
[[5,4,2],[4,2]] => ([(1,4),(2,3)],5)
[[2,2,1,1],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5)
[[3,3,2,1],[2,1,1]] => ([(1,4),(2,3),(2,4)],5)
[[3,3,1,1],[2,1]] => ([(0,4),(1,4),(2,3)],5)
[[4,4,2,1],[3,2,1]] => ([(2,4),(3,4)],5)
[[3,2,1,1],[2]] => ([(1,3),(1,4),(4,2)],5)
[[4,3,2,1],[3,1,1]] => ([(2,3),(2,4)],5)
[[4,3,1,1],[3,1]] => ([(1,4),(2,3)],5)
[[5,4,2,1],[4,2,1]] => ([(3,4)],5)
[[3,3,3],[2,2]] => ([(0,3),(1,2),(2,4),(3,4)],5)
[[4,4,3],[3,3]] => ([(0,3),(1,4),(4,2)],5)
[[4,3,3],[3,2]] => ([(1,4),(2,3),(3,4)],5)
[[5,4,3],[4,3]] => ([(2,3),(3,4)],5)
[[2,2,2,1],[1,1]] => ([(0,3),(1,2),(1,4),(3,4)],5)
[[3,3,3,1],[2,2,1]] => ([(1,4),(2,3),(3,4)],5)
[[3,3,2,1],[2,2]] => ([(0,4),(1,2),(1,3)],5)
[[4,4,3,1],[3,3,1]] => ([(1,4),(2,3)],5)
>>> Load all 1788 entries. <<<
[[3,2,2,1],[2,1]] => ([(1,4),(2,3),(2,4)],5)
[[4,3,3,1],[3,2,1]] => ([(2,4),(3,4)],5)
[[4,3,2,1],[3,2]] => ([(2,3),(2,4)],5)
[[5,4,3,1],[4,3,1]] => ([(3,4)],5)
[[2,2,2,2],[1,1,1]] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[3,3,3,2],[2,2,2]] => ([(0,3),(1,4),(4,2)],5)
[[3,3,2,2],[2,2,1]] => ([(0,4),(1,4),(2,3)],5)
[[4,4,3,2],[3,3,2]] => ([(1,4),(2,3)],5)
[[3,2,2,2],[2,1,1]] => ([(1,4),(2,3),(3,4)],5)
[[4,3,3,2],[3,2,2]] => ([(1,4),(2,3)],5)
[[4,3,2,2],[3,2,1]] => ([(2,4),(3,4)],5)
[[5,4,3,2],[4,3,2]] => ([(3,4)],5)
[[1,1,1,1,1],[]] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,2,1],[1,1,1,1]] => ([(1,4),(3,2),(4,3)],5)
[[2,2,2,1,1],[1,1,1]] => ([(0,3),(1,4),(4,2)],5)
[[3,3,3,2,1],[2,2,2,1]] => ([(2,3),(3,4)],5)
[[2,2,1,1,1],[1,1]] => ([(0,3),(1,4),(4,2)],5)
[[3,3,2,2,1],[2,2,1,1]] => ([(1,4),(2,3)],5)
[[3,3,2,1,1],[2,2,1]] => ([(1,4),(2,3)],5)
[[4,4,3,2,1],[3,3,2,1]] => ([(3,4)],5)
[[2,1,1,1,1],[1]] => ([(1,4),(3,2),(4,3)],5)
[[3,2,2,2,1],[2,1,1,1]] => ([(2,3),(3,4)],5)
[[3,2,2,1,1],[2,1,1]] => ([(1,4),(2,3)],5)
[[4,3,3,2,1],[3,2,2,1]] => ([(3,4)],5)
[[3,2,1,1,1],[2,1]] => ([(2,3),(3,4)],5)
[[4,3,2,2,1],[3,2,1,1]] => ([(3,4)],5)
[[4,3,2,1,1],[3,2,1]] => ([(3,4)],5)
[[5,4,3,2,1],[4,3,2,1]] => ([],5)
[[6],[]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[5,1],[]] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)
[[6,1],[1]] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[4,2],[]] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)
[[5,2],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)
[[6,2],[2]] => ([(0,5),(1,3),(4,2),(5,4)],6)
[[4,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)
[[5,2,1],[1,1]] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[5,1,1],[1]] => ([(0,5),(1,3),(4,2),(5,4)],6)
[[6,2,1],[2,1]] => ([(2,3),(3,5),(5,4)],6)
[[3,3],[]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[4,3],[1]] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)
[[5,3],[2]] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)
[[6,3],[3]] => ([(0,5),(1,4),(4,2),(5,3)],6)
[[3,2,1],[]] => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)
[[4,3,1],[1,1]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[[4,2,1],[1]] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)
[[5,3,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6)
[[5,2,1],[2]] => ([(0,5),(1,3),(1,4),(5,2)],6)
[[6,3,1],[3,1]] => ([(1,3),(2,4),(4,5)],6)
[[4,2,2],[1,1]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)
[[5,3,2],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[5,2,2],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6)
[[6,3,2],[3,2]] => ([(1,3),(2,4),(4,5)],6)
[[3,1,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)
[[4,2,2,1],[1,1,1]] => ([(1,4),(1,5),(4,3),(5,2)],6)
[[4,2,1,1],[1,1]] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[5,3,2,1],[2,2,1]] => ([(2,3),(2,4),(4,5)],6)
[[4,1,1,1],[1]] => ([(0,5),(1,4),(4,2),(5,3)],6)
[[5,2,2,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6)
[[5,2,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6)
[[6,3,2,1],[3,2,1]] => ([(3,4),(4,5)],6)
[[4,4],[2]] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)
[[5,4],[3]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)
[[6,4],[4]] => ([(0,5),(1,3),(4,2),(5,4)],6)
[[3,3,1],[1]] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)
[[4,4,1],[2,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[4,3,1],[2]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)
[[5,4,1],[3,1]] => ([(1,4),(2,3),(2,5),(4,5)],6)
[[5,3,1],[3]] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[6,4,1],[4,1]] => ([(1,3),(2,4),(4,5)],6)
[[2,2,2],[]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
[[3,3,2],[1,1]] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[[4,4,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[[3,2,2],[1]] => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)
[[4,3,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)
[[5,4,2],[3,2]] => ([(0,5),(1,3),(2,4),(2,5)],6)
[[4,2,2],[2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[[5,3,2],[3,1]] => ([(0,5),(1,3),(2,4),(2,5)],6)
[[6,4,2],[4,2]] => ([(0,5),(1,4),(2,3)],6)
[[2,2,1,1],[]] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)
[[3,3,2,1],[1,1,1]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[[3,3,1,1],[1,1]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[[4,4,2,1],[2,2,1]] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[3,2,1,1],[1]] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)
[[4,3,2,1],[2,1,1]] => ([(1,4),(1,5),(2,3),(2,5)],6)
[[4,3,1,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6)
[[5,4,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6)
[[4,2,1,1],[2]] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[5,3,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6)
[[5,3,1,1],[3,1]] => ([(0,5),(1,4),(2,3)],6)
[[6,4,2,1],[4,2,1]] => ([(2,5),(3,4)],6)
[[4,3,3],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)
[[5,4,3],[3,3]] => ([(0,5),(1,3),(1,4),(5,2)],6)
[[5,3,3],[3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6)
[[6,4,3],[4,3]] => ([(1,3),(2,4),(4,5)],6)
[[3,2,2,1],[1,1]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)
[[4,3,3,1],[2,2,1]] => ([(1,5),(2,3),(2,4),(4,5)],6)
[[4,3,2,1],[2,2]] => ([(0,4),(0,5),(1,2),(1,3)],6)
[[5,4,3,1],[3,3,1]] => ([(1,5),(2,3),(2,4)],6)
[[4,2,2,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6)
[[5,3,3,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6)
[[5,3,2,1],[3,2]] => ([(1,5),(2,3),(2,4)],6)
[[6,4,3,1],[4,3,1]] => ([(2,5),(3,4)],6)
[[3,2,2,2],[1,1,1]] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)
[[4,3,3,2],[2,2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[4,3,2,2],[2,2,1]] => ([(0,5),(1,5),(2,3),(2,4)],6)
[[5,4,3,2],[3,3,2]] => ([(1,5),(2,3),(2,4)],6)
[[4,2,2,2],[2,1,1]] => ([(0,5),(1,3),(2,4),(4,5)],6)
[[5,3,3,2],[3,2,2]] => ([(0,5),(1,4),(2,3)],6)
[[5,3,2,2],[3,2,1]] => ([(1,5),(2,5),(3,4)],6)
[[6,4,3,2],[4,3,2]] => ([(2,5),(3,4)],6)
[[2,1,1,1,1],[]] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)
[[3,2,2,2,1],[1,1,1,1]] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[3,2,2,1,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[4,3,3,2,1],[2,2,2,1]] => ([(2,3),(2,4),(4,5)],6)
[[3,2,1,1,1],[1,1]] => ([(0,5),(1,3),(1,4),(5,2)],6)
[[4,3,2,2,1],[2,2,1,1]] => ([(1,5),(2,3),(2,4)],6)
[[4,3,2,1,1],[2,2,1]] => ([(1,5),(2,3),(2,4)],6)
[[5,4,3,2,1],[3,3,2,1]] => ([(3,4),(3,5)],6)
[[3,1,1,1,1],[1]] => ([(0,5),(1,3),(4,2),(5,4)],6)
[[4,2,2,2,1],[2,1,1,1]] => ([(1,3),(2,4),(4,5)],6)
[[4,2,2,1,1],[2,1,1]] => ([(0,5),(1,4),(2,3)],6)
[[5,3,3,2,1],[3,2,2,1]] => ([(2,5),(3,4)],6)
[[4,2,1,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6)
[[5,3,2,2,1],[3,2,1,1]] => ([(2,5),(3,4)],6)
[[5,3,2,1,1],[3,2,1]] => ([(2,5),(3,4)],6)
[[6,4,3,2,1],[4,3,2,1]] => ([(4,5)],6)
[[5,5],[4]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[6,5],[5]] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[4,4,1],[3]] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)
[[5,5,1],[4,1]] => ([(1,5),(2,3),(3,4),(4,5)],6)
[[5,4,1],[4]] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[6,5,1],[5,1]] => ([(2,3),(3,5),(5,4)],6)
[[3,3,2],[2]] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)
[[4,4,2],[3,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[[5,5,2],[4,2]] => ([(0,5),(1,3),(2,4),(4,5)],6)
[[4,3,2],[3]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[[5,4,2],[4,1]] => ([(1,5),(2,3),(2,5),(3,4)],6)
[[6,5,2],[5,2]] => ([(1,3),(2,4),(4,5)],6)
[[3,3,1,1],[2]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)
[[4,4,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6)
[[4,4,1,1],[3,1]] => ([(0,5),(1,3),(2,4),(4,5)],6)
[[5,5,2,1],[4,2,1]] => ([(2,5),(3,4),(4,5)],6)
[[4,3,1,1],[3]] => ([(1,4),(1,5),(4,3),(5,2)],6)
[[5,4,2,1],[4,1,1]] => ([(2,3),(2,4),(4,5)],6)
[[5,4,1,1],[4,1]] => ([(1,3),(2,4),(4,5)],6)
[[6,5,2,1],[5,2,1]] => ([(3,4),(4,5)],6)
[[3,3,3],[2,1]] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)
[[4,4,3],[3,2]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
[[5,5,3],[4,3]] => ([(0,5),(1,5),(2,3),(3,4)],6)
[[4,3,3],[3,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[5,4,3],[4,2]] => ([(1,4),(2,3),(2,5),(4,5)],6)
[[6,5,3],[5,3]] => ([(1,3),(2,4),(4,5)],6)
[[2,2,2,1],[1]] => ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)
[[3,3,3,1],[2,1,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[3,3,2,1],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)
[[4,4,3,1],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5)],6)
[[4,4,2,1],[3,2]] => ([(0,5),(1,5),(2,3),(2,4)],6)
[[5,5,3,1],[4,3,1]] => ([(1,5),(2,5),(3,4)],6)
[[3,2,2,1],[2]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)
[[4,3,3,1],[3,1,1]] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[4,3,2,1],[3,1]] => ([(1,4),(1,5),(2,3),(2,5)],6)
[[5,4,3,1],[4,2,1]] => ([(2,5),(3,4),(3,5)],6)
[[5,4,2,1],[4,2]] => ([(1,5),(2,3),(2,4)],6)
[[6,5,3,1],[5,3,1]] => ([(2,5),(3,4)],6)
[[3,3,2,2],[2,1,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)
[[4,4,3,2],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5)],6)
[[4,4,2,2],[3,2,1]] => ([(0,5),(1,5),(2,4),(3,4)],6)
[[5,5,3,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6)
[[4,3,2,2],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6)
[[5,4,3,2],[4,2,2]] => ([(1,5),(2,3),(2,4)],6)
[[5,4,2,2],[4,2,1]] => ([(1,5),(2,5),(3,4)],6)
[[6,5,3,2],[5,3,2]] => ([(2,5),(3,4)],6)
[[2,2,1,1,1],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)
[[3,3,2,2,1],[2,1,1,1]] => ([(1,5),(2,3),(2,5),(3,4)],6)
[[3,3,2,1,1],[2,1,1]] => ([(0,5),(1,3),(2,4),(2,5)],6)
[[4,4,3,2,1],[3,2,2,1]] => ([(2,5),(3,4),(3,5)],6)
[[3,3,1,1,1],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6)
[[4,4,2,2,1],[3,2,1,1]] => ([(1,5),(2,5),(3,4)],6)
[[4,4,2,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6)
[[5,5,3,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6)
[[3,2,1,1,1],[2]] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[4,3,2,2,1],[3,1,1,1]] => ([(2,3),(2,4),(4,5)],6)
[[4,3,2,1,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6)
[[5,4,3,2,1],[4,2,2,1]] => ([(3,4),(3,5)],6)
[[4,3,1,1,1],[3,1]] => ([(1,3),(2,4),(4,5)],6)
[[5,4,2,2,1],[4,2,1,1]] => ([(2,5),(3,4)],6)
[[5,4,2,1,1],[4,2,1]] => ([(2,5),(3,4)],6)
[[6,5,3,2,1],[5,3,2,1]] => ([(4,5)],6)
[[4,4,4],[3,3]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[[5,5,4],[4,4]] => ([(0,5),(1,3),(4,2),(5,4)],6)
[[5,4,4],[4,3]] => ([(1,5),(2,3),(3,4),(4,5)],6)
[[6,5,4],[5,4]] => ([(2,3),(3,5),(5,4)],6)
[[3,3,3,1],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)
[[4,4,4,1],[3,3,1]] => ([(1,4),(2,3),(3,5),(4,5)],6)
[[4,4,3,1],[3,3]] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[5,5,4,1],[4,4,1]] => ([(1,3),(2,4),(4,5)],6)
[[4,3,3,1],[3,2]] => ([(1,5),(2,3),(2,4),(4,5)],6)
[[5,4,4,1],[4,3,1]] => ([(2,5),(3,4),(4,5)],6)
[[5,4,3,1],[4,3]] => ([(2,3),(2,4),(4,5)],6)
[[6,5,4,1],[5,4,1]] => ([(3,4),(4,5)],6)
[[2,2,2,2],[1,1]] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)
[[3,3,3,2],[2,2,1]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
[[4,4,4,2],[3,3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6)
[[3,3,2,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[[4,4,3,2],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5)],6)
[[5,5,4,2],[4,4,2]] => ([(0,5),(1,4),(2,3)],6)
[[3,2,2,2],[2,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[4,3,3,2],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5)],6)
[[5,4,4,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6)
[[4,3,2,2],[3,2]] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[5,4,3,2],[4,3,1]] => ([(2,5),(3,4),(3,5)],6)
[[6,5,4,2],[5,4,2]] => ([(2,5),(3,4)],6)
[[2,2,2,1,1],[1,1]] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)
[[3,3,3,2,1],[2,2,1,1]] => ([(1,4),(2,3),(2,5),(4,5)],6)
[[3,3,3,1,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(4,5)],6)
[[4,4,4,2,1],[3,3,2,1]] => ([(2,5),(3,4),(4,5)],6)
[[3,3,2,1,1],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[4,4,3,2,1],[3,3,1,1]] => ([(1,5),(2,3),(2,4)],6)
[[4,4,3,1,1],[3,3,1]] => ([(0,5),(1,4),(2,3)],6)
[[5,5,4,2,1],[4,4,2,1]] => ([(2,5),(3,4)],6)
[[3,2,2,1,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6)
[[4,3,3,2,1],[3,2,1,1]] => ([(2,5),(3,4),(3,5)],6)
[[4,3,3,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6)
[[5,4,4,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6)
[[4,3,2,1,1],[3,2]] => ([(2,3),(2,4),(4,5)],6)
[[5,4,3,2,1],[4,3,1,1]] => ([(3,4),(3,5)],6)
[[5,4,3,1,1],[4,3,1]] => ([(2,5),(3,4)],6)
[[6,5,4,2,1],[5,4,2,1]] => ([(4,5)],6)
[[3,3,3,3],[2,2,2]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[[4,4,4,3],[3,3,3]] => ([(0,5),(1,4),(4,2),(5,3)],6)
[[4,4,3,3],[3,3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6)
[[5,5,4,3],[4,4,3]] => ([(1,3),(2,4),(4,5)],6)
[[4,3,3,3],[3,2,2]] => ([(1,4),(2,3),(3,5),(4,5)],6)
[[5,4,4,3],[4,3,3]] => ([(1,3),(2,4),(4,5)],6)
[[5,4,3,3],[4,3,2]] => ([(2,5),(3,4),(4,5)],6)
[[6,5,4,3],[5,4,3]] => ([(3,4),(4,5)],6)
[[2,2,2,2,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)
[[3,3,3,3,1],[2,2,2,1]] => ([(1,5),(2,3),(3,4),(4,5)],6)
[[3,3,3,2,1],[2,2,2]] => ([(0,5),(1,3),(1,4),(5,2)],6)
[[4,4,4,3,1],[3,3,3,1]] => ([(1,3),(2,4),(4,5)],6)
[[3,3,2,2,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6)
[[4,4,3,3,1],[3,3,2,1]] => ([(1,5),(2,5),(3,4)],6)
[[4,4,3,2,1],[3,3,2]] => ([(1,5),(2,3),(2,4)],6)
[[5,5,4,3,1],[4,4,3,1]] => ([(2,5),(3,4)],6)
[[3,2,2,2,1],[2,1,1]] => ([(1,4),(2,3),(2,5),(4,5)],6)
[[4,3,3,3,1],[3,2,2,1]] => ([(2,5),(3,4),(4,5)],6)
[[4,3,3,2,1],[3,2,2]] => ([(1,5),(2,3),(2,4)],6)
[[5,4,4,3,1],[4,3,3,1]] => ([(2,5),(3,4)],6)
[[4,3,2,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6)
[[5,4,3,3,1],[4,3,2,1]] => ([(3,5),(4,5)],6)
[[5,4,3,2,1],[4,3,2]] => ([(3,4),(3,5)],6)
[[6,5,4,3,1],[5,4,3,1]] => ([(4,5)],6)
[[2,2,2,2,2],[1,1,1,1]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[3,3,3,3,2],[2,2,2,2]] => ([(0,5),(1,3),(4,2),(5,4)],6)
[[3,3,3,2,2],[2,2,2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6)
[[4,4,4,3,2],[3,3,3,2]] => ([(1,3),(2,4),(4,5)],6)
[[3,3,2,2,2],[2,2,1,1]] => ([(0,5),(1,3),(2,4),(4,5)],6)
[[4,4,3,3,2],[3,3,2,2]] => ([(0,5),(1,4),(2,3)],6)
[[4,4,3,2,2],[3,3,2,1]] => ([(1,5),(2,5),(3,4)],6)
[[5,5,4,3,2],[4,4,3,2]] => ([(2,5),(3,4)],6)
[[3,2,2,2,2],[2,1,1,1]] => ([(1,5),(2,3),(3,4),(4,5)],6)
[[4,3,3,3,2],[3,2,2,2]] => ([(1,3),(2,4),(4,5)],6)
[[4,3,3,2,2],[3,2,2,1]] => ([(1,5),(2,5),(3,4)],6)
[[5,4,4,3,2],[4,3,3,2]] => ([(2,5),(3,4)],6)
[[4,3,2,2,2],[3,2,1,1]] => ([(2,5),(3,4),(4,5)],6)
[[5,4,3,3,2],[4,3,2,2]] => ([(2,5),(3,4)],6)
[[5,4,3,2,2],[4,3,2,1]] => ([(3,5),(4,5)],6)
[[6,5,4,3,2],[5,4,3,2]] => ([(4,5)],6)
[[1,1,1,1,1,1],[]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,2,2,1],[1,1,1,1,1]] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[2,2,2,2,1,1],[1,1,1,1]] => ([(0,5),(1,3),(4,2),(5,4)],6)
[[3,3,3,3,2,1],[2,2,2,2,1]] => ([(2,3),(3,5),(5,4)],6)
[[2,2,2,1,1,1],[1,1,1]] => ([(0,5),(1,4),(4,2),(5,3)],6)
[[3,3,3,2,2,1],[2,2,2,1,1]] => ([(1,3),(2,4),(4,5)],6)
[[3,3,3,2,1,1],[2,2,2,1]] => ([(1,3),(2,4),(4,5)],6)
[[4,4,4,3,2,1],[3,3,3,2,1]] => ([(3,4),(4,5)],6)
[[2,2,1,1,1,1],[1,1]] => ([(0,5),(1,3),(4,2),(5,4)],6)
[[3,3,2,2,2,1],[2,2,1,1,1]] => ([(1,3),(2,4),(4,5)],6)
[[3,3,2,2,1,1],[2,2,1,1]] => ([(0,5),(1,4),(2,3)],6)
[[4,4,3,3,2,1],[3,3,2,2,1]] => ([(2,5),(3,4)],6)
[[3,3,2,1,1,1],[2,2,1]] => ([(1,3),(2,4),(4,5)],6)
[[4,4,3,2,2,1],[3,3,2,1,1]] => ([(2,5),(3,4)],6)
[[4,4,3,2,1,1],[3,3,2,1]] => ([(2,5),(3,4)],6)
[[5,5,4,3,2,1],[4,4,3,2,1]] => ([(4,5)],6)
[[2,1,1,1,1,1],[1]] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[3,2,2,2,2,1],[2,1,1,1,1]] => ([(2,3),(3,5),(5,4)],6)
[[3,2,2,2,1,1],[2,1,1,1]] => ([(1,3),(2,4),(4,5)],6)
[[4,3,3,3,2,1],[3,2,2,2,1]] => ([(3,4),(4,5)],6)
[[3,2,2,1,1,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6)
[[4,3,3,2,2,1],[3,2,2,1,1]] => ([(2,5),(3,4)],6)
[[4,3,3,2,1,1],[3,2,2,1]] => ([(2,5),(3,4)],6)
[[5,4,4,3,2,1],[4,3,3,2,1]] => ([(4,5)],6)
[[3,2,1,1,1,1],[2,1]] => ([(2,3),(3,5),(5,4)],6)
[[4,3,2,2,2,1],[3,2,1,1,1]] => ([(3,4),(4,5)],6)
[[4,3,2,2,1,1],[3,2,1,1]] => ([(2,5),(3,4)],6)
[[5,4,3,3,2,1],[4,3,2,2,1]] => ([(4,5)],6)
[[4,3,2,1,1,1],[3,2,1]] => ([(3,4),(4,5)],6)
[[5,4,3,2,2,1],[4,3,2,1,1]] => ([(4,5)],6)
[[5,4,3,2,1,1],[4,3,2,1]] => ([(4,5)],6)
[[6,5,4,3,2,1],[5,4,3,2,1]] => ([],6)
[[7],[]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[6,1],[]] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)
[[7,1],[1]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[5,2],[]] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)
[[6,2],[1]] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)
[[7,2],[2]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[[5,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)
[[6,2,1],[1,1]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7)
[[6,1,1],[1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[[7,2,1],[2,1]] => ([(2,6),(4,5),(5,3),(6,4)],7)
[[4,3],[]] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)
[[5,3],[1]] => ([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)
[[6,3],[2]] => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)
[[7,3],[3]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[[4,2,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)
[[5,3,1],[1,1]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[[5,2,1],[1]] => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)
[[6,3,1],[2,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[[6,2,1],[2]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7)
[[7,3,1],[3,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[5,2,2],[1,1]] => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)
[[6,3,2],[2,2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[[6,2,2],[2,1]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)
[[7,3,2],[3,2]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[4,1,1,1],[]] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)
[[5,2,2,1],[1,1,1]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[[5,2,1,1],[1,1]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[[6,3,2,1],[2,2,1]] => ([(2,4),(2,6),(5,3),(6,5)],7)
[[5,1,1,1],[1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[[6,2,2,1],[2,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[6,2,1,1],[2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[7,3,2,1],[3,2,1]] => ([(3,4),(4,6),(6,5)],7)
[[4,4],[1]] => ([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)
[[5,4],[2]] => ([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)
[[6,4],[3]] => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)
[[7,4],[4]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[[3,3,1],[]] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)
[[4,4,1],[1,1]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[[4,3,1],[1]] => ([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)
[[5,4,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[[5,3,1],[2]] => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)
[[6,4,1],[3,1]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[[6,3,1],[3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[[7,4,1],[4,1]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[3,2,2],[]] => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)
[[4,3,2],[1,1]] => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)
[[5,4,2],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[[4,2,2],[1]] => ([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)
[[5,3,2],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)
[[6,4,2],[3,2]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[[5,2,2],[2]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)
[[6,3,2],[3,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[[7,4,2],[4,2]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[3,2,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)
[[4,3,2,1],[1,1,1]] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)
[[4,3,1,1],[1,1]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[[5,4,2,1],[2,2,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[4,2,1,1],[1]] => ([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)
[[5,3,2,1],[2,1,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[[5,3,1,1],[2,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[[6,4,2,1],[3,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7)
[[5,2,1,1],[2]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[[6,3,2,1],[3,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[6,3,1,1],[3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[7,4,2,1],[4,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,3,3],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)
[[6,4,3],[3,3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[[6,3,3],[3,2]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[[7,4,3],[4,3]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[4,2,2,1],[1,1]] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)
[[5,3,3,1],[2,2,1]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[[5,3,2,1],[2,2]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7)
[[6,4,3,1],[3,3,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,2,2,1],[2,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[[6,3,3,1],[3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[6,3,2,1],[3,2]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[7,4,3,1],[4,3,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,2,2,2],[1,1,1]] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)
[[5,3,3,2],[2,2,2]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7)
[[5,3,2,2],[2,2,1]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)
[[6,4,3,2],[3,3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,2,2,2],[2,1,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[[6,3,3,2],[3,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[6,3,2,2],[3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[7,4,3,2],[4,3,2]] => ([(2,4),(3,5),(5,6)],7)
[[3,1,1,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)
[[4,2,2,2,1],[1,1,1,1]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[[4,2,2,1,1],[1,1,1]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7)
[[5,3,3,2,1],[2,2,2,1]] => ([(2,5),(2,6),(5,4),(6,3)],7)
[[4,2,1,1,1],[1,1]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[[5,3,2,2,1],[2,2,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,3,2,1,1],[2,2,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[6,4,3,2,1],[3,3,2,1]] => ([(3,4),(3,5),(5,6)],7)
[[4,1,1,1,1],[1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[[5,2,2,2,1],[2,1,1,1]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[5,2,2,1,1],[2,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[6,3,3,2,1],[3,2,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,2,1,1,1],[2,1]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[6,3,2,2,1],[3,2,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[6,3,2,1,1],[3,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[7,4,3,2,1],[4,3,2,1]] => ([(4,5),(5,6)],7)
[[5,5],[3]] => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)
[[6,5],[4]] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)
[[7,5],[5]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[[4,4,1],[2]] => ([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)
[[5,5,1],[3,1]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[[5,4,1],[3]] => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)
[[6,5,1],[4,1]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[[6,4,1],[4]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[[7,5,1],[5,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[3,3,2],[1]] => ([(0,3),(0,6),(1,2),(1,6),(2,4),(3,5),(6,4),(6,5)],7)
[[4,4,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)
[[5,5,2],[3,2]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[4,3,2],[2]] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)
[[5,4,2],[3,1]] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)
[[6,5,2],[4,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[[5,3,2],[3]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[[6,4,2],[4,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[[7,5,2],[5,2]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[3,3,1,1],[1]] => ([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)
[[4,4,2,1],[2,1,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[[4,4,1,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[5,5,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[4,3,1,1],[2]] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)
[[5,4,2,1],[3,1,1]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[[5,4,1,1],[3,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[[6,5,2,1],[4,2,1]] => ([(2,5),(3,4),(3,6),(5,6)],7)
[[5,3,1,1],[3]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7)
[[6,4,2,1],[4,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[6,4,1,1],[4,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[7,5,2,1],[5,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[3,3,3],[1,1]] => ([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[[4,4,3],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)
[[5,5,3],[3,3]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)
[[4,3,3],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)
[[5,4,3],[3,2]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)
[[6,5,3],[4,3]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[[5,3,3],[3,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[6,4,3],[4,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[[7,5,3],[5,3]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[2,2,2,1],[]] => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)
[[3,3,3,1],[1,1,1]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[[3,3,2,1],[1,1]] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)
[[4,4,3,1],[2,2,1]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[4,4,2,1],[2,2]] => ([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)
[[5,5,3,1],[3,3,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[3,2,2,1],[1]] => ([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)
[[4,3,3,1],[2,1,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[[4,3,2,1],[2,1]] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)
[[5,4,3,1],[3,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[[5,4,2,1],[3,2]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[[6,5,3,1],[4,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[4,2,2,1],[2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[[5,3,3,1],[3,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[5,3,2,1],[3,1]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
[[6,4,3,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[6,4,2,1],[4,2]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[7,5,3,1],[5,3,1]] => ([(1,6),(2,5),(3,4)],7)
[[3,3,2,2],[1,1,1]] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)
[[4,4,3,2],[2,2,2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[[4,4,2,2],[2,2,1]] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)
[[5,5,3,2],[3,3,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[4,3,2,2],[2,1,1]] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)
[[5,4,3,2],[3,2,2]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
[[5,4,2,2],[3,2,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
[[6,5,3,2],[4,3,2]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,3,2,2],[3,1,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[[6,4,3,2],[4,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[6,4,2,2],[4,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[7,5,3,2],[5,3,2]] => ([(1,6),(2,5),(3,4)],7)
[[2,2,1,1,1],[]] => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)
[[3,3,2,2,1],[1,1,1,1]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[[3,3,2,1,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[[4,4,3,2,1],[2,2,2,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[3,3,1,1,1],[1,1]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)
[[4,4,2,2,1],[2,2,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[4,4,2,1,1],[2,2,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[5,5,3,2,1],[3,3,2,1]] => ([(3,4),(3,5),(4,6),(5,6)],7)
[[3,2,1,1,1],[1]] => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)
[[4,3,2,2,1],[2,1,1,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[[4,3,2,1,1],[2,1,1]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
[[5,4,3,2,1],[3,2,2,1]] => ([(2,5),(2,6),(3,4),(3,6)],7)
[[4,3,1,1,1],[2,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[[5,4,2,2,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,4,2,1,1],[3,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[6,5,3,2,1],[4,3,2,1]] => ([(3,6),(4,5),(4,6)],7)
[[4,2,1,1,1],[2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[[5,3,2,2,1],[3,1,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,3,2,1,1],[3,1,1]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[6,4,3,2,1],[4,2,2,1]] => ([(2,6),(3,4),(3,5)],7)
[[5,3,1,1,1],[3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[6,4,2,2,1],[4,2,1,1]] => ([(1,6),(2,5),(3,4)],7)
[[6,4,2,1,1],[4,2,1]] => ([(1,6),(2,5),(3,4)],7)
[[7,5,3,2,1],[5,3,2,1]] => ([(3,6),(4,5)],7)
[[5,4,4],[3,3]] => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)
[[6,5,4],[4,4]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7)
[[6,4,4],[4,3]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[[7,5,4],[5,4]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[4,3,3,1],[2,2]] => ([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)
[[5,4,4,1],[3,3,1]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[[5,4,3,1],[3,3]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7)
[[6,5,4,1],[4,4,1]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[5,3,3,1],[3,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[[6,4,4,1],[4,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[6,4,3,1],[4,3]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[7,5,4,1],[5,4,1]] => ([(2,4),(3,5),(5,6)],7)
[[3,2,2,2],[1,1]] => ([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)
[[4,3,3,2],[2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)
[[5,4,4,2],[3,3,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[[4,3,2,2],[2,2]] => ([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)
[[5,4,3,2],[3,3,1]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[[6,5,4,2],[4,4,2]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[4,2,2,2],[2,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[5,3,3,2],[3,2,1]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
[[6,4,4,2],[4,3,2]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[5,3,2,2],[3,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[6,4,3,2],[4,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[7,5,4,2],[5,4,2]] => ([(1,6),(2,5),(3,4)],7)
[[3,2,2,1,1],[1,1]] => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)
[[4,3,3,2,1],[2,2,1,1]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[[4,3,3,1,1],[2,2,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[[5,4,4,2,1],[3,3,2,1]] => ([(2,6),(3,4),(3,5),(5,6)],7)
[[4,3,2,1,1],[2,2]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7)
[[5,4,3,2,1],[3,3,1,1]] => ([(1,5),(1,6),(2,3),(2,4)],7)
[[5,4,3,1,1],[3,3,1]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[6,5,4,2,1],[4,4,2,1]] => ([(2,6),(3,4),(3,5)],7)
[[4,2,2,1,1],[2,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[[5,3,3,2,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,3,3,1,1],[3,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[6,4,4,2,1],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[5,3,2,1,1],[3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[6,4,3,2,1],[4,3,1,1]] => ([(2,6),(3,4),(3,5)],7)
[[6,4,3,1,1],[4,3,1]] => ([(1,6),(2,5),(3,4)],7)
[[7,5,4,2,1],[5,4,2,1]] => ([(3,6),(4,5)],7)
[[4,3,3,3],[2,2,2]] => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)
[[5,4,4,3],[3,3,3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[[5,4,3,3],[3,3,2]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
[[6,5,4,3],[4,4,3]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[5,3,3,3],[3,2,2]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
[[6,4,4,3],[4,3,3]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[6,4,3,3],[4,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[7,5,4,3],[5,4,3]] => ([(2,4),(3,5),(5,6)],7)
[[3,2,2,2,1],[1,1,1]] => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)
[[4,3,3,3,1],[2,2,2,1]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[[4,3,3,2,1],[2,2,2]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7)
[[5,4,4,3,1],[3,3,3,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[4,3,2,2,1],[2,2,1]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[[5,4,3,3,1],[3,3,2,1]] => ([(1,6),(2,6),(3,4),(3,5)],7)
[[5,4,3,2,1],[3,3,2]] => ([(1,5),(1,6),(2,3),(2,4)],7)
[[6,5,4,3,1],[4,4,3,1]] => ([(2,6),(3,4),(3,5)],7)
[[4,2,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[[5,3,3,3,1],[3,2,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[5,3,3,2,1],[3,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[6,4,4,3,1],[4,3,3,1]] => ([(1,6),(2,5),(3,4)],7)
[[5,3,2,2,1],[3,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[6,4,3,3,1],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[6,4,3,2,1],[4,3,2]] => ([(2,6),(3,4),(3,5)],7)
[[7,5,4,3,1],[5,4,3,1]] => ([(3,6),(4,5)],7)
[[3,2,2,2,2],[1,1,1,1]] => ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)
[[4,3,3,3,2],[2,2,2,2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[[4,3,3,2,2],[2,2,2,1]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)
[[5,4,4,3,2],[3,3,3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[4,3,2,2,2],[2,2,1,1]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
[[5,4,3,3,2],[3,3,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[5,4,3,2,2],[3,3,2,1]] => ([(1,6),(2,6),(3,4),(3,5)],7)
[[6,5,4,3,2],[4,4,3,2]] => ([(2,6),(3,4),(3,5)],7)
[[4,2,2,2,2],[2,1,1,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[[5,3,3,3,2],[3,2,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[5,3,3,2,2],[3,2,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[6,4,4,3,2],[4,3,3,2]] => ([(1,6),(2,5),(3,4)],7)
[[5,3,2,2,2],[3,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[6,4,3,3,2],[4,3,2,2]] => ([(1,6),(2,5),(3,4)],7)
[[6,4,3,2,2],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[7,5,4,3,2],[5,4,3,2]] => ([(3,6),(4,5)],7)
[[2,1,1,1,1,1],[]] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)
[[3,2,2,2,2,1],[1,1,1,1,1]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7)
[[3,2,2,2,1,1],[1,1,1,1]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[[4,3,3,3,2,1],[2,2,2,2,1]] => ([(2,4),(2,6),(5,3),(6,5)],7)
[[3,2,2,1,1,1],[1,1,1]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[[4,3,3,2,2,1],[2,2,2,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[4,3,3,2,1,1],[2,2,2,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,4,4,3,2,1],[3,3,3,2,1]] => ([(3,4),(3,5),(5,6)],7)
[[3,2,1,1,1,1],[1,1]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7)
[[4,3,2,2,2,1],[2,2,1,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[4,3,2,2,1,1],[2,2,1,1]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[5,4,3,3,2,1],[3,3,2,2,1]] => ([(2,6),(3,4),(3,5)],7)
[[4,3,2,1,1,1],[2,2,1]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[5,4,3,2,2,1],[3,3,2,1,1]] => ([(2,6),(3,4),(3,5)],7)
[[5,4,3,2,1,1],[3,3,2,1]] => ([(2,6),(3,4),(3,5)],7)
[[6,5,4,3,2,1],[4,4,3,2,1]] => ([(4,5),(4,6)],7)
[[3,1,1,1,1,1],[1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[[4,2,2,2,2,1],[2,1,1,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[4,2,2,2,1,1],[2,1,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[5,3,3,3,2,1],[3,2,2,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,2,2,1,1,1],[2,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[5,3,3,2,2,1],[3,2,2,1,1]] => ([(1,6),(2,5),(3,4)],7)
[[5,3,3,2,1,1],[3,2,2,1]] => ([(1,6),(2,5),(3,4)],7)
[[6,4,4,3,2,1],[4,3,3,2,1]] => ([(3,6),(4,5)],7)
[[4,2,1,1,1,1],[2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[5,3,2,2,2,1],[3,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,3,2,2,1,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4)],7)
[[6,4,3,3,2,1],[4,3,2,2,1]] => ([(3,6),(4,5)],7)
[[5,3,2,1,1,1],[3,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[6,4,3,2,2,1],[4,3,2,1,1]] => ([(3,6),(4,5)],7)
[[6,4,3,2,1,1],[4,3,2,1]] => ([(3,6),(4,5)],7)
[[7,5,4,3,2,1],[5,4,3,2,1]] => ([(5,6)],7)
[[6,6],[5]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[7,6],[6]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[5,5,1],[4]] => ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)
[[6,6,1],[5,1]] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[[6,5,1],[5]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7)
[[7,6,1],[6,1]] => ([(2,6),(4,5),(5,3),(6,4)],7)
[[4,4,2],[3]] => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)
[[5,5,2],[4,1]] => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[[6,6,2],[5,2]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[[5,4,2],[4]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[[6,5,2],[5,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[[7,6,2],[6,2]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[4,4,1,1],[3]] => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)
[[5,5,2,1],[4,1,1]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[[5,5,1,1],[4,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[[6,6,2,1],[5,2,1]] => ([(2,6),(3,4),(4,5),(5,6)],7)
[[5,4,1,1],[4]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[[6,5,2,1],[5,1,1]] => ([(2,4),(2,6),(5,3),(6,5)],7)
[[6,5,1,1],[5,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[7,6,2,1],[6,2,1]] => ([(3,4),(4,6),(6,5)],7)
[[3,3,3],[2]] => ([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[[4,4,3],[3,1]] => ([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[[5,5,3],[4,2]] => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)
[[6,6,3],[5,3]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[[4,3,3],[3]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[[5,4,3],[4,1]] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[[6,5,3],[5,2]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[[7,6,3],[6,3]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[3,3,2,1],[2]] => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)
[[4,4,3,1],[3,1,1]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[4,4,2,1],[3,1]] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)
[[5,5,3,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[[5,5,2,1],[4,2]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
[[6,6,3,1],[5,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[4,3,2,1],[3]] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)
[[5,4,3,1],[4,1,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[5,4,2,1],[4,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[[6,5,3,1],[5,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7)
[[6,5,2,1],[5,2]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[7,6,3,1],[6,3,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,4,2,2],[3,1,1]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)
[[5,5,3,2],[4,2,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[[5,5,2,2],[4,2,1]] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
[[6,6,3,2],[5,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[5,4,2,2],[4,1,1]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[[6,5,3,2],[5,2,2]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[6,5,2,2],[5,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[7,6,3,2],[6,3,2]] => ([(2,4),(3,5),(5,6)],7)
[[3,3,1,1,1],[2]] => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)
[[4,4,2,2,1],[3,1,1,1]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[[4,4,2,1,1],[3,1,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[[5,5,3,2,1],[4,2,2,1]] => ([(2,6),(3,4),(3,5),(5,6)],7)
[[4,4,1,1,1],[3,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[[5,5,2,2,1],[4,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[5,5,2,1,1],[4,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[6,6,3,2,1],[5,3,2,1]] => ([(3,6),(4,5),(5,6)],7)
[[4,3,1,1,1],[3]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7)
[[5,4,2,2,1],[4,1,1,1]] => ([(2,5),(2,6),(5,4),(6,3)],7)
[[5,4,2,1,1],[4,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[6,5,3,2,1],[5,2,2,1]] => ([(3,4),(3,5),(5,6)],7)
[[5,4,1,1,1],[4,1]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[6,5,2,2,1],[5,2,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[6,5,2,1,1],[5,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[7,6,3,2,1],[6,3,2,1]] => ([(4,5),(5,6)],7)
[[4,4,4],[3,2]] => ([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)
[[5,5,4],[4,3]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)
[[6,6,4],[5,4]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)
[[5,4,4],[4,2]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[[6,5,4],[5,3]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[[7,6,4],[6,4]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[3,3,3,1],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)
[[4,4,4,1],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[[4,4,3,1],[3,2]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)
[[5,5,4,1],[4,3,1]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[[5,5,3,1],[4,3]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)
[[6,6,4,1],[5,4,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[4,3,3,1],[3,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[[5,4,4,1],[4,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[5,4,3,1],[4,2]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[[6,5,4,1],[5,3,1]] => ([(2,5),(3,4),(3,6),(5,6)],7)
[[6,5,3,1],[5,3]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[7,6,4,1],[6,4,1]] => ([(2,4),(3,5),(5,6)],7)
[[2,2,2,2],[1]] => ([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)
[[3,3,3,2],[2,1,1]] => ([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)
[[4,4,4,2],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[3,3,2,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)
[[4,4,3,2],[3,2,1]] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)
[[5,5,4,2],[4,3,2]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
[[4,4,2,2],[3,2]] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)
[[5,5,3,2],[4,3,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
[[6,6,4,2],[5,4,2]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[3,2,2,2],[2]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)
[[4,3,3,2],[3,1,1]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[5,4,4,2],[4,2,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[4,3,2,2],[3,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)
[[5,4,3,2],[4,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[[6,5,4,2],[5,3,2]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,4,2,2],[4,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[6,5,3,2],[5,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[7,6,4,2],[6,4,2]] => ([(1,6),(2,5),(3,4)],7)
[[2,2,2,1,1],[1]] => ([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)
[[3,3,3,2,1],[2,1,1,1]] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[[3,3,3,1,1],[2,1,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[4,4,4,2,1],[3,2,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[3,3,2,1,1],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)
[[4,4,3,2,1],[3,2,1,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[[4,4,3,1,1],[3,2,1]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
[[5,5,4,2,1],[4,3,2,1]] => ([(2,6),(3,5),(4,5),(4,6)],7)
[[4,4,2,1,1],[3,2]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)
[[5,5,3,2,1],[4,3,1,1]] => ([(1,6),(2,6),(3,4),(3,5)],7)
[[5,5,3,1,1],[4,3,1]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[6,6,4,2,1],[5,4,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[3,2,2,1,1],[2]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)
[[4,3,3,2,1],[3,1,1,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[4,3,3,1,1],[3,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[5,4,4,2,1],[4,2,2,1]] => ([(3,4),(3,5),(4,6),(5,6)],7)
[[4,3,2,1,1],[3,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7)
[[5,4,3,2,1],[4,2,1,1]] => ([(2,5),(2,6),(3,4),(3,6)],7)
[[5,4,3,1,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[6,5,4,2,1],[5,3,2,1]] => ([(3,6),(4,5),(4,6)],7)
[[5,4,2,1,1],[4,2]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[6,5,3,2,1],[5,3,1,1]] => ([(2,6),(3,4),(3,5)],7)
[[6,5,3,1,1],[5,3,1]] => ([(1,6),(2,5),(3,4)],7)
[[7,6,4,2,1],[6,4,2,1]] => ([(3,6),(4,5)],7)
[[4,4,3,3],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)
[[5,5,4,3],[4,3,3]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[[5,5,3,3],[4,3,2]] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
[[6,6,4,3],[5,4,3]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[5,4,3,3],[4,2,2]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[[6,5,4,3],[5,3,3]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[6,5,3,3],[5,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[7,6,4,3],[6,4,3]] => ([(2,4),(3,5),(5,6)],7)
[[3,3,2,2,1],[2,1,1]] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)
[[4,4,3,3,1],[3,2,2,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[[4,4,3,2,1],[3,2,2]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)
[[5,5,4,3,1],[4,3,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[4,4,2,2,1],[3,2,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
[[5,5,3,3,1],[4,3,2,1]] => ([(1,6),(2,6),(3,5),(4,5)],7)
[[5,5,3,2,1],[4,3,2]] => ([(1,6),(2,6),(3,4),(3,5)],7)
[[6,6,4,3,1],[5,4,3,1]] => ([(2,6),(3,6),(4,5)],7)
[[4,3,2,2,1],[3,1,1]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7)
[[5,4,3,3,1],[4,2,2,1]] => ([(2,6),(3,4),(3,5),(5,6)],7)
[[5,4,3,2,1],[4,2,2]] => ([(1,5),(1,6),(2,3),(2,4)],7)
[[6,5,4,3,1],[5,3,3,1]] => ([(2,6),(3,4),(3,5)],7)
[[5,4,2,2,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[6,5,3,3,1],[5,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[6,5,3,2,1],[5,3,2]] => ([(2,6),(3,4),(3,5)],7)
[[7,6,4,3,1],[6,4,3,1]] => ([(3,6),(4,5)],7)
[[3,3,2,2,2],[2,1,1,1]] => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)
[[4,4,3,3,2],[3,2,2,2]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[[4,4,3,2,2],[3,2,2,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)
[[5,5,4,3,2],[4,3,3,2]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[4,4,2,2,2],[3,2,1,1]] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
[[5,5,3,3,2],[4,3,2,2]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[5,5,3,2,2],[4,3,2,1]] => ([(1,6),(2,6),(3,5),(4,5)],7)
[[6,6,4,3,2],[5,4,3,2]] => ([(2,6),(3,6),(4,5)],7)
[[4,3,2,2,2],[3,1,1,1]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[[5,4,3,3,2],[4,2,2,2]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,4,3,2,2],[4,2,2,1]] => ([(1,6),(2,6),(3,4),(3,5)],7)
[[6,5,4,3,2],[5,3,3,2]] => ([(2,6),(3,4),(3,5)],7)
[[5,4,2,2,2],[4,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[6,5,3,3,2],[5,3,2,2]] => ([(1,6),(2,5),(3,4)],7)
[[6,5,3,2,2],[5,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[7,6,4,3,2],[6,4,3,2]] => ([(3,6),(4,5)],7)
[[2,2,1,1,1,1],[1]] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)
[[3,3,2,2,2,1],[2,1,1,1,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[[3,3,2,2,1,1],[2,1,1,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[[4,4,3,3,2,1],[3,2,2,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7)
[[3,3,2,1,1,1],[2,1,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[[4,4,3,2,2,1],[3,2,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[4,4,3,2,1,1],[3,2,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,5,4,3,2,1],[4,3,3,2,1]] => ([(3,6),(4,5),(4,6)],7)
[[3,3,1,1,1,1],[2,1]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)
[[4,4,2,2,2,1],[3,2,1,1,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[4,4,2,2,1,1],[3,2,1,1]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[5,5,3,3,2,1],[4,3,2,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[4,4,2,1,1,1],[3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[5,5,3,2,2,1],[4,3,2,1,1]] => ([(2,6),(3,6),(4,5)],7)
[[5,5,3,2,1,1],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[6,6,4,3,2,1],[5,4,3,2,1]] => ([(4,6),(5,6)],7)
[[3,2,1,1,1,1],[2]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7)
[[4,3,2,2,2,1],[3,1,1,1,1]] => ([(2,4),(2,6),(5,3),(6,5)],7)
[[4,3,2,2,1,1],[3,1,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,4,3,3,2,1],[4,2,2,2,1]] => ([(3,4),(3,5),(5,6)],7)
[[4,3,2,1,1,1],[3,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[5,4,3,2,2,1],[4,2,2,1,1]] => ([(2,6),(3,4),(3,5)],7)
[[5,4,3,2,1,1],[4,2,2,1]] => ([(2,6),(3,4),(3,5)],7)
[[6,5,4,3,2,1],[5,3,3,2,1]] => ([(4,5),(4,6)],7)
[[4,3,1,1,1,1],[3,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[5,4,2,2,2,1],[4,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,4,2,2,1,1],[4,2,1,1]] => ([(1,6),(2,5),(3,4)],7)
[[6,5,3,3,2,1],[5,3,2,2,1]] => ([(3,6),(4,5)],7)
[[5,4,2,1,1,1],[4,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[6,5,3,2,2,1],[5,3,2,1,1]] => ([(3,6),(4,5)],7)
[[6,5,3,2,1,1],[5,3,2,1]] => ([(3,6),(4,5)],7)
[[7,6,4,3,2,1],[6,4,3,2,1]] => ([(5,6)],7)
[[5,5,5],[4,4]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[6,6,5],[5,5]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[[6,5,5],[5,4]] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[[7,6,5],[6,5]] => ([(2,6),(4,5),(5,3),(6,4)],7)
[[4,4,4,1],[3,3]] => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)
[[5,5,5,1],[4,4,1]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[5,5,4,1],[4,4]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[[6,6,5,1],[5,5,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[5,4,4,1],[4,3]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7)
[[6,5,5,1],[5,4,1]] => ([(2,6),(3,4),(4,5),(5,6)],7)
[[6,5,4,1],[5,4]] => ([(2,4),(2,6),(5,3),(6,5)],7)
[[7,6,5,1],[6,5,1]] => ([(3,4),(4,6),(6,5)],7)
[[3,3,3,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)
[[4,4,4,2],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)
[[5,5,5,2],[4,4,2]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
[[4,4,3,2],[3,3]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[[5,5,4,2],[4,4,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[[6,6,5,2],[5,5,2]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[4,3,3,2],[3,2]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[5,4,4,2],[4,3,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[[6,5,5,2],[5,4,2]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[5,4,3,2],[4,3]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[6,5,4,2],[5,4,1]] => ([(2,6),(3,4),(3,6),(4,5)],7)
[[7,6,5,2],[6,5,2]] => ([(2,4),(3,5),(5,6)],7)
[[3,3,3,1,1],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)
[[4,4,4,2,1],[3,3,1,1]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[[4,4,4,1,1],[3,3,1]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
[[5,5,5,2,1],[4,4,2,1]] => ([(2,5),(3,4),(4,6),(5,6)],7)
[[4,4,3,1,1],[3,3]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7)
[[5,5,4,2,1],[4,4,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,5,4,1,1],[4,4,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[6,6,5,2,1],[5,5,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,3,3,1,1],[3,2]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7)
[[5,4,4,2,1],[4,3,1,1]] => ([(2,6),(3,4),(3,5),(5,6)],7)
[[5,4,4,1,1],[4,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[6,5,5,2,1],[5,4,2,1]] => ([(3,6),(4,5),(5,6)],7)
[[5,4,3,1,1],[4,3]] => ([(2,5),(2,6),(5,4),(6,3)],7)
[[6,5,4,2,1],[5,4,1,1]] => ([(3,4),(3,5),(5,6)],7)
[[6,5,4,1,1],[5,4,1]] => ([(2,4),(3,5),(5,6)],7)
[[7,6,5,2,1],[6,5,2,1]] => ([(4,5),(5,6)],7)
[[3,3,3,3],[2,2,1]] => ([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)
[[4,4,4,3],[3,3,2]] => ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)
[[5,5,5,3],[4,4,3]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[[4,4,3,3],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[5,5,4,3],[4,4,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[[6,6,5,3],[5,5,3]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[4,3,3,3],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[[5,4,4,3],[4,3,2]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[[6,5,5,3],[5,4,3]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[5,4,3,3],[4,3,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[6,5,4,3],[5,4,2]] => ([(2,5),(3,4),(3,6),(5,6)],7)
[[7,6,5,3],[6,5,3]] => ([(2,4),(3,5),(5,6)],7)
[[2,2,2,2,1],[1,1]] => ([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)
[[3,3,3,3,1],[2,2,1,1]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[[3,3,3,2,1],[2,2,1]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)
[[4,4,4,3,1],[3,3,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[[4,4,4,2,1],[3,3,2]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7)
[[5,5,5,3,1],[4,4,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[3,3,2,2,1],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)
[[4,4,3,3,1],[3,3,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[4,4,3,2,1],[3,3,1]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)
[[5,5,4,3,1],[4,4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,5,4,2,1],[4,4,2]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[6,6,5,3,1],[5,5,3,1]] => ([(1,6),(2,5),(3,4)],7)
[[3,2,2,2,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)
[[4,3,3,3,1],[3,2,1,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[4,3,3,2,1],[3,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7)
[[5,4,4,3,1],[4,3,2,1]] => ([(2,6),(3,5),(4,5),(4,6)],7)
[[5,4,4,2,1],[4,3,2]] => ([(1,6),(2,6),(3,4),(3,5)],7)
[[6,5,5,3,1],[5,4,3,1]] => ([(2,6),(3,6),(4,5)],7)
[[4,3,2,2,1],[3,2]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)
[[5,4,3,3,1],[4,3,1,1]] => ([(3,4),(3,5),(4,6),(5,6)],7)
[[5,4,3,2,1],[4,3,1]] => ([(2,5),(2,6),(3,4),(3,6)],7)
[[6,5,4,3,1],[5,4,2,1]] => ([(3,6),(4,5),(4,6)],7)
[[6,5,4,2,1],[5,4,2]] => ([(2,6),(3,4),(3,5)],7)
[[7,6,5,3,1],[6,5,3,1]] => ([(3,6),(4,5)],7)
[[3,3,3,2,2],[2,2,1,1]] => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)
[[4,4,4,3,2],[3,3,2,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[[4,4,4,2,2],[3,3,2,1]] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)
[[5,5,5,3,2],[4,4,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[4,4,3,2,2],[3,3,1,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[[5,5,4,3,2],[4,4,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[5,5,4,2,2],[4,4,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[6,6,5,3,2],[5,5,3,2]] => ([(1,6),(2,5),(3,4)],7)
[[4,3,3,2,2],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)
[[5,4,4,3,2],[4,3,2,2]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,4,4,2,2],[4,3,2,1]] => ([(1,6),(2,6),(3,5),(4,5)],7)
[[6,5,5,3,2],[5,4,3,2]] => ([(2,6),(3,6),(4,5)],7)
[[5,4,3,2,2],[4,3,1,1]] => ([(2,6),(3,4),(3,5),(5,6)],7)
[[6,5,4,3,2],[5,4,2,2]] => ([(2,6),(3,4),(3,5)],7)
[[6,5,4,2,2],[5,4,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[7,6,5,3,2],[6,5,3,2]] => ([(3,6),(4,5)],7)
[[2,2,2,1,1,1],[1,1]] => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)
[[3,3,3,2,2,1],[2,2,1,1,1]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[[3,3,3,2,1,1],[2,2,1,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[[4,4,4,3,2,1],[3,3,2,2,1]] => ([(2,5),(3,4),(3,6),(5,6)],7)
[[3,3,3,1,1,1],[2,2,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[[4,4,4,2,2,1],[3,3,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[4,4,4,2,1,1],[3,3,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[5,5,5,3,2,1],[4,4,3,2,1]] => ([(3,6),(4,5),(5,6)],7)
[[3,3,2,1,1,1],[2,2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)
[[4,4,3,2,2,1],[3,3,1,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[4,4,3,2,1,1],[3,3,1,1]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[5,5,4,3,2,1],[4,4,2,2,1]] => ([(2,6),(3,4),(3,5)],7)
[[4,4,3,1,1,1],[3,3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[5,5,4,2,2,1],[4,4,2,1,1]] => ([(1,6),(2,5),(3,4)],7)
[[5,5,4,2,1,1],[4,4,2,1]] => ([(1,6),(2,5),(3,4)],7)
[[6,6,5,3,2,1],[5,5,3,2,1]] => ([(3,6),(4,5)],7)
[[3,2,2,1,1,1],[2,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)
[[4,3,3,2,2,1],[3,2,1,1,1]] => ([(2,6),(3,4),(3,6),(4,5)],7)
[[4,3,3,2,1,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,4,4,3,2,1],[4,3,2,2,1]] => ([(3,6),(4,5),(4,6)],7)
[[4,3,3,1,1,1],[3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[5,4,4,2,2,1],[4,3,2,1,1]] => ([(2,6),(3,6),(4,5)],7)
[[5,4,4,2,1,1],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[6,5,5,3,2,1],[5,4,3,2,1]] => ([(4,6),(5,6)],7)
[[4,3,2,1,1,1],[3,2]] => ([(2,4),(2,6),(5,3),(6,5)],7)
[[5,4,3,2,2,1],[4,3,1,1,1]] => ([(3,4),(3,5),(5,6)],7)
[[5,4,3,2,1,1],[4,3,1,1]] => ([(2,6),(3,4),(3,5)],7)
[[6,5,4,3,2,1],[5,4,2,2,1]] => ([(4,5),(4,6)],7)
[[5,4,3,1,1,1],[4,3,1]] => ([(2,4),(3,5),(5,6)],7)
[[6,5,4,2,2,1],[5,4,2,1,1]] => ([(3,6),(4,5)],7)
[[6,5,4,2,1,1],[5,4,2,1]] => ([(3,6),(4,5)],7)
[[7,6,5,3,2,1],[6,5,3,2,1]] => ([(5,6)],7)
[[4,4,4,4],[3,3,3]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)
[[5,5,5,4],[4,4,4]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[[5,5,4,4],[4,4,3]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[[6,6,5,4],[5,5,4]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[5,4,4,4],[4,3,3]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[6,5,5,4],[5,4,4]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[6,5,4,4],[5,4,3]] => ([(2,6),(3,4),(4,5),(5,6)],7)
[[7,6,5,4],[6,5,4]] => ([(3,4),(4,6),(6,5)],7)
[[3,3,3,3,1],[2,2,2]] => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)
[[4,4,4,4,1],[3,3,3,1]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[4,4,4,3,1],[3,3,3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[[5,5,5,4,1],[4,4,4,1]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[4,4,3,3,1],[3,3,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7)
[[5,5,4,4,1],[4,4,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[5,5,4,3,1],[4,4,3]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[6,6,5,4,1],[5,5,4,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,3,3,3,1],[3,2,2]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[[5,4,4,4,1],[4,3,3,1]] => ([(2,5),(3,4),(4,6),(5,6)],7)
[[5,4,4,3,1],[4,3,3]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[6,5,5,4,1],[5,4,4,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,4,3,3,1],[4,3,2]] => ([(2,6),(3,4),(3,5),(5,6)],7)
[[6,5,4,4,1],[5,4,3,1]] => ([(3,6),(4,5),(5,6)],7)
[[6,5,4,3,1],[5,4,3]] => ([(3,4),(3,5),(5,6)],7)
[[7,6,5,4,1],[6,5,4,1]] => ([(4,5),(5,6)],7)
[[2,2,2,2,2],[1,1,1]] => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)
[[3,3,3,3,2],[2,2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)
[[4,4,4,4,2],[3,3,3,2]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[[3,3,3,2,2],[2,2,2]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7)
[[4,4,4,3,2],[3,3,3,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[[5,5,5,4,2],[4,4,4,2]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[3,3,2,2,2],[2,2,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[4,4,3,3,2],[3,3,2,1]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)
[[5,5,4,4,2],[4,4,3,2]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[4,4,3,2,2],[3,3,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[5,5,4,3,2],[4,4,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[6,6,5,4,2],[5,5,4,2]] => ([(1,6),(2,5),(3,4)],7)
[[3,2,2,2,2],[2,1,1]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)
[[4,3,3,3,2],[3,2,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7)
[[5,4,4,4,2],[4,3,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[4,3,3,2,2],[3,2,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7)
[[5,4,4,3,2],[4,3,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[6,5,5,4,2],[5,4,4,2]] => ([(1,6),(2,5),(3,4)],7)
[[4,3,2,2,2],[3,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[5,4,3,3,2],[4,3,2,1]] => ([(2,6),(3,5),(4,5),(4,6)],7)
[[6,5,4,4,2],[5,4,3,2]] => ([(2,6),(3,6),(4,5)],7)
[[5,4,3,2,2],[4,3,2]] => ([(3,4),(3,5),(4,6),(5,6)],7)
[[6,5,4,3,2],[5,4,3,1]] => ([(3,6),(4,5),(4,6)],7)
[[7,6,5,4,2],[6,5,4,2]] => ([(3,6),(4,5)],7)
[[2,2,2,2,1,1],[1,1,1]] => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)
[[3,3,3,3,2,1],[2,2,2,1,1]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[[3,3,3,3,1,1],[2,2,2,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[[4,4,4,4,2,1],[3,3,3,2,1]] => ([(2,6),(3,4),(4,5),(5,6)],7)
[[3,3,3,2,1,1],[2,2,2]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)
[[4,4,4,3,2,1],[3,3,3,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[4,4,4,3,1,1],[3,3,3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[5,5,5,4,2,1],[4,4,4,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[3,3,2,2,1,1],[2,2,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)
[[4,4,3,3,2,1],[3,3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[4,4,3,3,1,1],[3,3,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[5,5,4,4,2,1],[4,4,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[4,4,3,2,1,1],[3,3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,5,4,3,2,1],[4,4,3,1,1]] => ([(2,6),(3,4),(3,5)],7)
[[5,5,4,3,1,1],[4,4,3,1]] => ([(1,6),(2,5),(3,4)],7)
[[6,6,5,4,2,1],[5,5,4,2,1]] => ([(3,6),(4,5)],7)
[[3,2,2,2,1,1],[2,1,1]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7)
[[4,3,3,3,2,1],[3,2,2,1,1]] => ([(2,5),(3,4),(3,6),(5,6)],7)
[[4,3,3,3,1,1],[3,2,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[5,4,4,4,2,1],[4,3,3,2,1]] => ([(3,6),(4,5),(5,6)],7)
[[4,3,3,2,1,1],[3,2,2]] => ([(1,5),(2,4),(2,6),(6,3)],7)
[[5,4,4,3,2,1],[4,3,3,1,1]] => ([(2,6),(3,4),(3,5)],7)
[[5,4,4,3,1,1],[4,3,3,1]] => ([(1,6),(2,5),(3,4)],7)
[[6,5,5,4,2,1],[5,4,4,2,1]] => ([(3,6),(4,5)],7)
[[4,3,2,2,1,1],[3,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7)
[[5,4,3,3,2,1],[4,3,2,1,1]] => ([(3,6),(4,5),(4,6)],7)
[[5,4,3,3,1,1],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[6,5,4,4,2,1],[5,4,3,2,1]] => ([(4,6),(5,6)],7)
[[5,4,3,2,1,1],[4,3,2]] => ([(3,4),(3,5),(5,6)],7)
[[6,5,4,3,2,1],[5,4,3,1,1]] => ([(4,5),(4,6)],7)
[[6,5,4,3,1,1],[5,4,3,1]] => ([(3,6),(4,5)],7)
[[7,6,5,4,2,1],[6,5,4,2,1]] => ([(5,6)],7)
[[3,3,3,3,3],[2,2,2,2]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)
[[4,4,4,4,3],[3,3,3,3]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[[4,4,4,3,3],[3,3,3,2]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[[5,5,5,4,3],[4,4,4,3]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[4,4,3,3,3],[3,3,2,2]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)
[[5,5,4,4,3],[4,4,3,3]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[5,5,4,3,3],[4,4,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[6,6,5,4,3],[5,5,4,3]] => ([(2,4),(3,5),(5,6)],7)
[[4,3,3,3,3],[3,2,2,2]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7)
[[5,4,4,4,3],[4,3,3,3]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[5,4,4,3,3],[4,3,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[6,5,5,4,3],[5,4,4,3]] => ([(2,4),(3,5),(5,6)],7)
[[5,4,3,3,3],[4,3,2,2]] => ([(2,5),(3,4),(4,6),(5,6)],7)
[[6,5,4,4,3],[5,4,3,3]] => ([(2,4),(3,5),(5,6)],7)
[[6,5,4,3,3],[5,4,3,2]] => ([(3,6),(4,5),(5,6)],7)
[[7,6,5,4,3],[6,5,4,3]] => ([(4,5),(5,6)],7)
[[2,2,2,2,2,1],[1,1,1,1]] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)
[[3,3,3,3,3,1],[2,2,2,2,1]] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[[3,3,3,3,2,1],[2,2,2,2]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7)
[[4,4,4,4,3,1],[3,3,3,3,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[3,3,3,2,2,1],[2,2,2,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7)
[[4,4,4,3,3,1],[3,3,3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[4,4,4,3,2,1],[3,3,3,2]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[5,5,5,4,3,1],[4,4,4,3,1]] => ([(2,4),(3,5),(5,6)],7)
[[3,3,2,2,2,1],[2,2,1,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)
[[4,4,3,3,3,1],[3,3,2,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[4,4,3,3,2,1],[3,3,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7)
[[5,5,4,4,3,1],[4,4,3,3,1]] => ([(1,6),(2,5),(3,4)],7)
[[4,4,3,2,2,1],[3,3,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,5,4,3,3,1],[4,4,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[5,5,4,3,2,1],[4,4,3,2]] => ([(2,6),(3,4),(3,5)],7)
[[6,6,5,4,3,1],[5,5,4,3,1]] => ([(3,6),(4,5)],7)
[[3,2,2,2,2,1],[2,1,1,1]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7)
[[4,3,3,3,3,1],[3,2,2,2,1]] => ([(2,6),(3,4),(4,5),(5,6)],7)
[[4,3,3,3,2,1],[3,2,2,2]] => ([(1,6),(2,4),(2,5),(6,3)],7)
[[5,4,4,4,3,1],[4,3,3,3,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,3,3,2,2,1],[3,2,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7)
[[5,4,4,3,3,1],[4,3,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[5,4,4,3,2,1],[4,3,3,2]] => ([(2,6),(3,4),(3,5)],7)
[[6,5,5,4,3,1],[5,4,4,3,1]] => ([(3,6),(4,5)],7)
[[4,3,2,2,2,1],[3,2,1,1]] => ([(2,5),(3,4),(3,6),(5,6)],7)
[[5,4,3,3,3,1],[4,3,2,2,1]] => ([(3,6),(4,5),(5,6)],7)
[[5,4,3,3,2,1],[4,3,2,2]] => ([(2,6),(3,4),(3,5)],7)
[[6,5,4,4,3,1],[5,4,3,3,1]] => ([(3,6),(4,5)],7)
[[5,4,3,2,2,1],[4,3,2,1]] => ([(3,6),(4,5),(4,6)],7)
[[6,5,4,3,3,1],[5,4,3,2,1]] => ([(4,6),(5,6)],7)
[[6,5,4,3,2,1],[5,4,3,2]] => ([(4,5),(4,6)],7)
[[7,6,5,4,3,1],[6,5,4,3,1]] => ([(5,6)],7)
[[2,2,2,2,2,2],[1,1,1,1,1]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[3,3,3,3,3,2],[2,2,2,2,2]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[[3,3,3,3,2,2],[2,2,2,2,1]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)
[[4,4,4,4,3,2],[3,3,3,3,2]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[3,3,3,2,2,2],[2,2,2,1,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)
[[4,4,4,3,3,2],[3,3,3,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[4,4,4,3,2,2],[3,3,3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[5,5,5,4,3,2],[4,4,4,3,2]] => ([(2,4),(3,5),(5,6)],7)
[[3,3,2,2,2,2],[2,2,1,1,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)
[[4,4,3,3,3,2],[3,3,2,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[4,4,3,3,2,2],[3,3,2,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7)
[[5,5,4,4,3,2],[4,4,3,3,2]] => ([(1,6),(2,5),(3,4)],7)
[[4,4,3,2,2,2],[3,3,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[5,5,4,3,3,2],[4,4,3,2,2]] => ([(1,6),(2,5),(3,4)],7)
[[5,5,4,3,2,2],[4,4,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[6,6,5,4,3,2],[5,5,4,3,2]] => ([(3,6),(4,5)],7)
[[3,2,2,2,2,2],[2,1,1,1,1]] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[[4,3,3,3,3,2],[3,2,2,2,2]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[4,3,3,3,2,2],[3,2,2,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7)
[[5,4,4,4,3,2],[4,3,3,3,2]] => ([(2,4),(3,5),(5,6)],7)
[[4,3,3,2,2,2],[3,2,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7)
[[5,4,4,3,3,2],[4,3,3,2,2]] => ([(1,6),(2,5),(3,4)],7)
[[5,4,4,3,2,2],[4,3,3,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[6,5,5,4,3,2],[5,4,4,3,2]] => ([(3,6),(4,5)],7)
[[4,3,2,2,2,2],[3,2,1,1,1]] => ([(2,6),(3,4),(4,5),(5,6)],7)
[[5,4,3,3,3,2],[4,3,2,2,2]] => ([(2,4),(3,5),(5,6)],7)
[[5,4,3,3,2,2],[4,3,2,2,1]] => ([(2,6),(3,6),(4,5)],7)
[[6,5,4,4,3,2],[5,4,3,3,2]] => ([(3,6),(4,5)],7)
[[5,4,3,2,2,2],[4,3,2,1,1]] => ([(3,6),(4,5),(5,6)],7)
[[6,5,4,3,3,2],[5,4,3,2,2]] => ([(3,6),(4,5)],7)
[[6,5,4,3,2,2],[5,4,3,2,1]] => ([(4,6),(5,6)],7)
[[7,6,5,4,3,2],[6,5,4,3,2]] => ([(5,6)],7)
[[1,1,1,1,1,1,1],[]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,2,2,2,2,1],[1,1,1,1,1,1]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[2,2,2,2,2,1,1],[1,1,1,1,1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[[3,3,3,3,3,2,1],[2,2,2,2,2,1]] => ([(2,6),(4,5),(5,3),(6,4)],7)
[[2,2,2,2,1,1,1],[1,1,1,1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[[3,3,3,3,2,2,1],[2,2,2,2,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[3,3,3,3,2,1,1],[2,2,2,2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[4,4,4,4,3,2,1],[3,3,3,3,2,1]] => ([(3,4),(4,6),(6,5)],7)
[[2,2,2,1,1,1,1],[1,1,1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7)
[[3,3,3,2,2,2,1],[2,2,2,1,1,1]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[3,3,3,2,2,1,1],[2,2,2,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[4,4,4,3,3,2,1],[3,3,3,2,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[3,3,3,2,1,1,1],[2,2,2,1]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[4,4,4,3,2,2,1],[3,3,3,2,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,4,4,3,2,1,1],[3,3,3,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,5,5,4,3,2,1],[4,4,4,3,2,1]] => ([(4,5),(5,6)],7)
[[2,2,1,1,1,1,1],[1,1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7)
[[3,3,2,2,2,2,1],[2,2,1,1,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[3,3,2,2,2,1,1],[2,2,1,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[4,4,3,3,3,2,1],[3,3,2,2,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[3,3,2,2,1,1,1],[2,2,1,1]] => ([(0,5),(1,4),(2,6),(6,3)],7)
[[4,4,3,3,2,2,1],[3,3,2,2,1,1]] => ([(1,6),(2,5),(3,4)],7)
[[4,4,3,3,2,1,1],[3,3,2,2,1]] => ([(1,6),(2,5),(3,4)],7)
[[5,5,4,4,3,2,1],[4,4,3,3,2,1]] => ([(3,6),(4,5)],7)
[[3,3,2,1,1,1,1],[2,2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[4,4,3,2,2,2,1],[3,3,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,4,3,2,2,1,1],[3,3,2,1,1]] => ([(1,6),(2,5),(3,4)],7)
[[5,5,4,3,3,2,1],[4,4,3,2,2,1]] => ([(3,6),(4,5)],7)
[[4,4,3,2,1,1,1],[3,3,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,5,4,3,2,2,1],[4,4,3,2,1,1]] => ([(3,6),(4,5)],7)
[[5,5,4,3,2,1,1],[4,4,3,2,1]] => ([(3,6),(4,5)],7)
[[6,6,5,4,3,2,1],[5,5,4,3,2,1]] => ([(5,6)],7)
[[2,1,1,1,1,1,1],[1]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[3,2,2,2,2,2,1],[2,1,1,1,1,1]] => ([(2,6),(4,5),(5,3),(6,4)],7)
[[3,2,2,2,2,1,1],[2,1,1,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[4,3,3,3,3,2,1],[3,2,2,2,2,1]] => ([(3,4),(4,6),(6,5)],7)
[[3,2,2,2,1,1,1],[2,1,1,1]] => ([(1,6),(2,5),(5,3),(6,4)],7)
[[4,3,3,3,2,2,1],[3,2,2,2,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,3,3,3,2,1,1],[3,2,2,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,4,4,4,3,2,1],[4,3,3,3,2,1]] => ([(4,5),(5,6)],7)
[[3,2,2,1,1,1,1],[2,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7)
[[4,3,3,2,2,2,1],[3,2,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[4,3,3,2,2,1,1],[3,2,2,1,1]] => ([(1,6),(2,5),(3,4)],7)
[[5,4,4,3,3,2,1],[4,3,3,2,2,1]] => ([(3,6),(4,5)],7)
[[4,3,3,2,1,1,1],[3,2,2,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,4,4,3,2,2,1],[4,3,3,2,1,1]] => ([(3,6),(4,5)],7)
[[5,4,4,3,2,1,1],[4,3,3,2,1]] => ([(3,6),(4,5)],7)
[[6,5,5,4,3,2,1],[5,4,4,3,2,1]] => ([(5,6)],7)
[[3,2,1,1,1,1,1],[2,1]] => ([(2,6),(4,5),(5,3),(6,4)],7)
[[4,3,2,2,2,2,1],[3,2,1,1,1,1]] => ([(3,4),(4,6),(6,5)],7)
[[4,3,2,2,2,1,1],[3,2,1,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,4,3,3,3,2,1],[4,3,2,2,2,1]] => ([(4,5),(5,6)],7)
[[4,3,2,2,1,1,1],[3,2,1,1]] => ([(2,4),(3,5),(5,6)],7)
[[5,4,3,3,2,2,1],[4,3,2,2,1,1]] => ([(3,6),(4,5)],7)
[[5,4,3,3,2,1,1],[4,3,2,2,1]] => ([(3,6),(4,5)],7)
[[6,5,4,4,3,2,1],[5,4,3,3,2,1]] => ([(5,6)],7)
[[4,3,2,1,1,1,1],[3,2,1]] => ([(3,4),(4,6),(6,5)],7)
[[5,4,3,2,2,2,1],[4,3,2,1,1,1]] => ([(4,5),(5,6)],7)
[[5,4,3,2,2,1,1],[4,3,2,1,1]] => ([(3,6),(4,5)],7)
[[6,5,4,3,3,2,1],[5,4,3,2,2,1]] => ([(5,6)],7)
[[5,4,3,2,1,1,1],[4,3,2,1]] => ([(4,5),(5,6)],7)
[[6,5,4,3,2,2,1],[5,4,3,2,1,1]] => ([(5,6)],7)
[[6,5,4,3,2,1,1],[5,4,3,2,1]] => ([(5,6)],7)
[[7,6,5,4,3,2,1],[6,5,4,3,2,1]] => ([],7)
[[8],[]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[7,1],[]] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)
[[6,2],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)
[[6,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)
[[5,3],[]] => ([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)
[[5,2,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8)
[[5,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)
[[4,4],[]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[4,3,1],[]] => ([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8)
[[4,2,2],[]] => ([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8)
[[4,2,1,1],[]] => ([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8)
[[4,1,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)
[[3,3,2],[]] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8)
[[3,3,1,1],[]] => ([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8)
[[3,2,2,1],[]] => ([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8)
[[3,2,1,1,1],[]] => ([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8)
[[3,1,1,1,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)
[[2,2,2,2],[]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
[[2,2,2,1,1],[]] => ([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)
[[2,2,1,1,1,1],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)
[[2,1,1,1,1,1,1],[]] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)
[[1,1,1,1,1,1,1,1],[]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[2,2,1,1,1,1,1],[1]] => ([(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(6,4)],8)
[[2,2,2,1,1,1,1],[1,1]] => ([(0,3),(1,6),(1,7),(3,7),(4,5),(5,2),(6,4)],8)
[[3,2,1,1,1,1],[1]] => ([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8)
[[2,2,2,2,1,1,1],[1,1,1]] => ([(0,5),(1,6),(1,7),(3,7),(4,2),(5,3),(6,4)],8)
[[3,2,2,1,1,1],[1,1]] => ([(0,6),(0,7),(1,3),(1,4),(4,7),(5,2),(6,5)],8)
[[3,3,2,1,1,1],[2,1]] => ([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(5,4)],8)
[[4,3,1,1,1],[2]] => ([(0,4),(0,7),(1,3),(1,6),(3,7),(5,2),(6,5)],8)
[[2,2,2,2,2,1,1],[1,1,1,1]] => ([(0,5),(1,6),(1,7),(3,7),(4,3),(5,4),(6,2)],8)
[[3,2,2,2,1,1],[1,1,1]] => ([(0,6),(0,7),(1,3),(1,5),(4,7),(5,4),(6,2)],8)
[[3,3,2,2,1,1],[2,1,1]] => ([(0,6),(1,4),(1,7),(2,3),(2,6),(3,7),(4,5)],8)
[[3,3,3,2,1,1],[2,2,1]] => ([(0,6),(0,7),(1,3),(2,4),(2,6),(3,7),(4,5)],8)
[[4,3,2,1,1],[2,1]] => ([(0,6),(0,7),(1,3),(1,6),(2,4),(2,7),(4,5)],8)
[[4,4,2,1,1],[3,1]] => ([(0,7),(1,3),(1,6),(2,4),(2,6),(3,7),(4,5)],8)
[[4,3,3,1,1],[2,2]] => ([(0,3),(0,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[[4,4,3,1,1],[3,2]] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5)],8)
[[5,3,1,1],[2]] => ([(0,6),(0,7),(1,4),(1,5),(4,7),(5,3),(6,2)],8)
[[2,2,2,2,2,2,1],[1,1,1,1,1]] => ([(0,6),(1,3),(1,7),(2,7),(4,5),(5,2),(6,4)],8)
[[3,2,2,2,2,1],[1,1,1,1]] => ([(0,4),(0,7),(1,2),(1,6),(3,7),(5,3),(6,5)],8)
[[3,3,2,2,2,1],[2,1,1,1]] => ([(0,6),(1,4),(1,6),(2,3),(2,7),(4,5),(5,7)],8)
[[3,3,3,2,2,1],[2,2,1,1]] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(4,6),(5,7)],8)
[[4,3,2,2,1],[2,1,1]] => ([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(5,7)],8)
[[4,4,2,2,1],[3,1,1]] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(5,7)],8)
[[3,3,3,3,2,1],[2,2,2,1]] => ([(0,6),(0,7),(1,4),(2,3),(2,6),(4,5),(5,7)],8)
[[4,3,3,2,1],[2,2,1]] => ([(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(5,7)],8)
[[4,4,3,2,1],[3,2,1]] => ([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7)],8)
[[5,3,2,1],[2,1]] => ([(0,6),(0,7),(1,3),(1,6),(2,4),(2,7),(4,5)],8)
[[4,4,4,2,1],[3,3,1]] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(4,7),(5,7)],8)
[[5,4,2,1],[3,1]] => ([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(5,7)],8)
[[4,3,3,3,1],[2,2,2]] => ([(0,3),(0,5),(1,4),(1,6),(2,7),(5,7),(6,2)],8)
[[4,4,3,3,1],[3,2,2]] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7)],8)
[[5,3,3,1],[2,2]] => ([(0,3),(0,4),(1,5),(1,6),(4,7),(5,7),(6,2)],8)
[[4,4,4,3,1],[3,3,2]] => ([(0,6),(0,7),(1,5),(2,3),(2,4),(4,6),(5,7)],8)
[[5,4,3,1],[3,2]] => ([(0,6),(0,7),(1,4),(1,6),(2,3),(2,5),(5,7)],8)
[[5,5,3,1],[4,2]] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(4,7),(5,6)],8)
[[4,4,4,4,1],[3,3,3]] => ([(0,6),(1,2),(1,5),(3,7),(4,7),(5,4),(6,3)],8)
[[5,4,4,1],[3,3]] => ([(0,3),(0,5),(1,4),(1,6),(2,7),(5,7),(6,2)],8)
[[5,5,4,1],[4,3]] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(4,5),(5,7)],8)
[[6,4,1],[3]] => ([(0,6),(0,7),(1,3),(1,5),(4,7),(5,4),(6,2)],8)
[[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[3,2,2,2,2,2],[1,1,1,1,1]] => ([(0,7),(1,2),(1,6),(3,7),(4,5),(5,3),(6,4)],8)
[[3,3,2,2,2,2],[2,1,1,1,1]] => ([(0,7),(1,6),(2,3),(2,6),(3,5),(4,7),(5,4)],8)
[[3,3,3,2,2,2],[2,2,1,1,1]] => ([(0,6),(1,3),(2,4),(2,7),(3,7),(4,5),(5,6)],8)
[[4,3,2,2,2],[2,1,1,1]] => ([(0,7),(1,3),(1,6),(2,4),(2,6),(4,5),(5,7)],8)
[[4,4,2,2,2],[3,1,1,1]] => ([(0,7),(1,6),(2,3),(2,4),(3,7),(4,5),(5,6)],8)
[[3,3,3,3,2,2],[2,2,2,1,1]] => ([(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(5,6)],8)
[[4,3,3,2,2],[2,2,1,1]] => ([(0,6),(1,5),(1,7),(2,3),(2,4),(4,7),(5,6)],8)
[[4,4,3,2,2],[3,2,1,1]] => ([(0,7),(1,5),(2,5),(2,6),(3,4),(3,6),(4,7)],8)
[[5,3,2,2],[2,1,1]] => ([(0,7),(1,3),(1,6),(2,4),(2,6),(3,7),(4,5)],8)
[[4,4,4,2,2],[3,3,1,1]] => ([(0,6),(1,4),(2,3),(2,5),(3,7),(4,7),(5,6)],8)
[[5,4,2,2],[3,1,1]] => ([(0,6),(1,3),(1,7),(2,4),(2,5),(4,6),(5,7)],8)
[[3,3,3,3,3,2],[2,2,2,2,1]] => ([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],8)
[[4,3,3,3,2],[2,2,2,1]] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(4,5),(5,7)],8)
[[4,4,3,3,2],[3,2,2,1]] => ([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8)
[[5,3,3,2],[2,2,1]] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(3,7),(4,5)],8)
[[4,4,4,3,2],[3,3,2,1]] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(3,4),(4,7)],8)
[[5,4,3,2],[3,2,1]] => ([(0,6),(1,5),(1,6),(2,5),(2,7),(3,4),(3,7)],8)
[[5,5,3,2],[4,2,1]] => ([(0,7),(1,5),(2,5),(2,6),(3,4),(3,6),(4,7)],8)
[[4,4,4,4,2],[3,3,3,1]] => ([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(5,7)],8)
[[5,4,4,2],[3,3,1]] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(4,7),(5,7)],8)
[[5,5,4,2],[4,3,1]] => ([(0,5),(1,6),(2,5),(2,7),(3,4),(3,6),(4,7)],8)
[[6,4,2],[3,1]] => ([(0,6),(1,4),(1,7),(2,3),(2,6),(3,7),(4,5)],8)
[[5,5,5,2],[4,4,1]] => ([(0,6),(1,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[[6,5,2],[4,1]] => ([(0,6),(1,4),(1,6),(2,3),(2,7),(4,5),(5,7)],8)
[[3,3,3,3,3,3],[2,2,2,2,2]] => ([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[4,4,3,3,3],[3,2,2,2]] => ([(0,6),(1,3),(2,4),(2,6),(3,7),(4,5),(5,7)],8)
[[5,3,3,3],[2,2,2]] => ([(0,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3)],8)
[[4,4,4,3,3],[3,3,2,2]] => ([(0,3),(1,5),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[[5,4,3,3],[3,2,2]] => ([(0,5),(1,4),(1,6),(2,3),(2,6),(4,7),(5,7)],8)
[[5,5,3,3],[4,2,2]] => ([(0,6),(1,4),(2,3),(2,5),(3,7),(4,7),(5,6)],8)
[[4,4,4,4,3],[3,3,3,2]] => ([(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(5,6)],8)
[[5,4,4,3],[3,3,2]] => ([(0,6),(0,7),(1,5),(2,3),(2,4),(4,6),(5,7)],8)
[[5,5,4,3],[4,3,2]] => ([(0,5),(1,6),(1,7),(2,5),(2,6),(3,4),(4,7)],8)
[[6,4,3],[3,2]] => ([(0,6),(0,7),(1,3),(2,4),(2,6),(3,7),(4,5)],8)
[[5,5,5,3],[4,4,2]] => ([(0,3),(1,5),(2,4),(2,6),(3,7),(4,7),(5,6)],8)
[[6,5,3],[4,2]] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(4,6),(5,7)],8)
[[6,6,3],[5,2]] => ([(0,6),(1,3),(2,4),(2,7),(3,7),(4,5),(5,6)],8)
[[4,4,4,4,4],[3,3,3,3]] => ([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[5,4,4,4],[3,3,3]] => ([(0,6),(1,2),(1,5),(3,7),(4,7),(5,4),(6,3)],8)
[[5,5,4,4],[4,3,3]] => ([(0,6),(1,4),(2,3),(2,6),(3,7),(4,5),(5,7)],8)
[[6,4,4],[3,3]] => ([(0,6),(1,4),(1,5),(3,7),(4,7),(5,2),(6,3)],8)
[[5,5,5,4],[4,4,3]] => ([(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(5,6)],8)
[[6,5,4],[4,3]] => ([(0,6),(0,7),(1,4),(2,3),(2,6),(4,5),(5,7)],8)
[[6,6,4],[5,3]] => ([(0,7),(1,4),(2,3),(2,6),(3,7),(4,5),(5,6)],8)
[[7,4],[3]] => ([(0,5),(1,6),(1,7),(3,7),(4,2),(5,3),(6,4)],8)
[[5,5,5,5],[4,4,4]] => ([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)
[[6,6,6],[5,5]] => ([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8)
[[7,7],[6]] => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[3,3,3],[1]] => ([(0,3),(0,7),(1,2),(1,7),(2,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)
[[3,3,3,1],[1,1]] => ([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(5,6),(7,6)],8)
[[4,4,1],[1]] => ([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)
[[3,3,2,1],[1]] => ([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8)
[[2,2,2,2,1],[1]] => ([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8)
[[3,3,3,1],[2]] => ([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8)
[[3,3,3,2],[1,1,1]] => ([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8)
[[4,4,2],[1,1]] => ([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8)
[[4,4,4],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[[5,5],[2]] => ([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)
[[4,4,3],[2,1]] => ([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[[3,3,3,3],[2,1,1]] => ([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[[4,3,3],[1,1]] => ([(0,7),(1,3),(1,4),(3,5),(3,7),(4,2),(4,5),(5,6),(7,6)],8)
[[4,4,4],[3,1]] => ([(0,7),(1,6),(2,3),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5)],8)
[[5,4],[1]] => ([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8)
[[3,3,2,2],[1,1]] => ([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8)
[[4,4,2],[2]] => ([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(4,6),(7,6)],8)
[[3,3,3,2],[2,1]] => ([(0,6),(1,3),(1,7),(2,6),(2,7),(3,5),(6,4),(7,4),(7,5)],8)
[[4,3,2],[1]] => ([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8)
[[2,2,2,2,2],[1,1]] => ([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)
[[3,2,2,2],[1]] => ([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)
[[3,3,2,2],[2]] => ([(0,7),(1,3),(1,4),(2,6),(3,5),(3,7),(4,2),(4,5),(5,6)],8)
[[3,3,3,3],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6),(5,7),(6,7)],8)
[[4,3,3],[2]] => ([(0,4),(0,7),(1,2),(1,3),(2,5),(3,5),(3,7),(5,6),(7,6)],8)
[[4,4,3],[3]] => ([(0,7),(1,3),(1,4),(2,6),(2,7),(3,5),(4,2),(4,5),(5,6)],8)
[[6,6],[4]] => ([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8)
[[5,5,5],[4,3]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8)
[[6,5],[3]] => ([(0,5),(0,7),(1,4),(3,7),(4,3),(5,2),(5,6),(7,6)],8)
[[4,4,4,4],[3,3,2]] => ([(0,6),(0,7),(1,4),(2,3),(3,6),(4,7),(6,5),(7,5)],8)
[[6,4],[2]] => ([(0,5),(0,7),(1,3),(3,7),(4,2),(5,4),(5,6),(7,6)],8)
[[3,3,3,3,3],[2,2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6),(5,7),(6,7)],8)
[[6,3],[1]] => ([(0,7),(1,5),(1,7),(3,4),(4,2),(5,3),(5,6),(7,6)],8)
[[2,2,2,2,2,2],[1,1,1,1]] => ([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8)
[[9],[]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
[[8,1],[]] => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)
[[7,2],[]] => ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9)
[[7,1,1],[]] => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)
[[6,3],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9)
[[6,2,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9)
[[6,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)
[[5,4],[]] => ([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9)
[[5,3,1],[]] => ([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9)
[[5,2,2],[]] => ([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9)
[[5,2,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9)
[[5,1,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)
[[4,4,1],[]] => ([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9)
[[4,3,2],[]] => ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9)
[[4,3,1,1],[]] => ([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9)
[[4,2,2,1],[]] => ([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9)
[[4,2,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9)
[[4,1,1,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)
[[3,3,3],[]] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
[[3,3,2,1],[]] => ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9)
[[3,3,1,1,1],[]] => ([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9)
[[3,2,2,2],[]] => ([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9)
[[3,2,2,1,1],[]] => ([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9)
[[3,2,1,1,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9)
[[3,1,1,1,1,1,1],[]] => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)
[[2,2,2,2,1],[]] => ([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9)
[[2,2,2,1,1,1],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9)
[[2,2,1,1,1,1,1],[]] => ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9)
[[2,1,1,1,1,1,1,1],[]] => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)
[[1,1,1,1,1,1,1,1,1],[]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)
[[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => ([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => ([(0,7),(1,3),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[[4,4,4,4,4,4],[3,3,3,3,3]] => ([(0,7),(1,6),(2,8),(3,8),(4,5),(5,3),(6,4),(7,2)],9)
[[5,5,5,5,5],[4,4,4,4]] => ([(0,7),(1,6),(2,8),(3,8),(4,2),(5,3),(6,4),(7,5)],9)
[[6,6,6,6],[5,5,5]] => ([(0,7),(1,6),(2,8),(3,8),(4,5),(5,3),(6,4),(7,2)],9)
[[7,7,7],[6,6]] => ([(0,7),(1,3),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9)
[[8,8],[7]] => ([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[[3,3,3,1],[1]] => ([(0,3),(0,8),(1,4),(1,8),(3,6),(4,2),(4,7),(6,5),(7,5),(8,6),(8,7)],9)
[[3,3,3,3],[1,1,1]] => ([(0,2),(0,3),(1,7),(2,8),(3,4),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9)
[[4,4,3],[1,1]] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,8),(4,7),(4,8),(7,5),(8,5),(8,6)],9)
[[4,4,4],[2,1]] => ([(0,7),(1,3),(1,8),(2,7),(2,8),(3,6),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[[5,5],[1]] => ([(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(6,7),(7,5),(8,6)],9)
[[3,3,3,2],[1,1]] => ([(0,3),(0,4),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(7,5),(8,5),(8,6)],9)
[[4,4,2],[1]] => ([(0,3),(0,8),(1,4),(1,8),(2,5),(3,6),(4,2),(4,7),(7,5),(8,6),(8,7)],9)
[[3,3,2,2],[1]] => ([(0,3),(0,8),(1,4),(1,8),(2,5),(3,6),(4,2),(4,7),(7,5),(8,6),(8,7)],9)
[[2,2,2,2,2],[1]] => ([(0,8),(1,4),(1,8),(2,3),(2,7),(3,5),(4,2),(4,6),(6,7),(7,5),(8,6)],9)
[[3,3,3,2],[2]] => ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,8),(4,7),(4,8),(7,5),(8,5),(8,6)],9)
[[4,4,3],[2]] => ([(0,3),(0,4),(1,2),(1,8),(2,6),(3,7),(4,7),(4,8),(7,5),(8,5),(8,6)],9)
[[3,3,3,3],[2,1]] => ([(0,7),(1,3),(1,8),(2,7),(2,8),(3,6),(5,4),(6,4),(7,5),(8,5),(8,6)],9)
[[4,3,3],[1]] => ([(0,3),(0,8),(1,4),(1,8),(3,6),(4,2),(4,7),(6,5),(7,5),(8,6),(8,7)],9)
[[4,4,4],[3]] => ([(0,2),(0,3),(1,7),(2,8),(3,4),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9)
[[5,5,5],[3,3]] => ([(0,5),(1,3),(1,4),(2,6),(3,7),(4,6),(4,7),(5,2),(6,8),(7,8)],9)
[[6,6],[3]] => ([(0,5),(0,8),(1,4),(2,7),(3,8),(4,3),(5,2),(5,6),(6,7),(8,6)],9)
[[5,5,4],[3,2]] => ([(0,4),(1,3),(1,8),(2,7),(2,8),(3,6),(4,7),(7,5),(8,5),(8,6)],9)
[[4,4,4,4],[3,2,2]] => ([(0,3),(1,8),(2,4),(2,8),(3,7),(4,6),(4,7),(6,5),(7,5),(8,6)],9)
[[5,4,4],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(3,7),(4,6),(5,2),(5,7),(6,8),(7,8)],9)
[[5,5,5],[4,2]] => ([(0,3),(1,7),(2,4),(2,8),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9)
[[6,5],[2]] => ([(0,5),(0,8),(1,3),(3,8),(4,2),(4,7),(5,4),(5,6),(6,7),(8,6)],9)
[[5,5,3],[3,1]] => ([(0,8),(1,4),(1,8),(2,3),(2,7),(3,6),(4,5),(4,7),(7,6),(8,5)],9)
[[5,4,3],[2,1]] => ([(0,7),(1,4),(1,8),(2,7),(2,8),(4,3),(4,6),(7,5),(8,5),(8,6)],9)
[[3,3,3,3,3],[2,2,1,1]] => ([(0,3),(1,7),(2,4),(2,8),(3,8),(4,6),(4,7),(6,5),(7,5),(8,6)],9)
[[5,3,3],[1,1]] => ([(0,8),(1,3),(1,5),(3,6),(3,8),(4,2),(5,4),(5,6),(6,7),(8,7)],9)
[[4,4,4,4],[3,3,1]] => ([(0,3),(1,8),(2,4),(2,8),(3,7),(4,6),(4,7),(6,5),(7,5),(8,6)],9)
[[6,4],[1]] => ([(0,8),(1,5),(1,8),(3,4),(3,7),(4,2),(5,3),(5,6),(6,7),(8,6)],9)
[[5,5,2],[3]] => ([(0,4),(0,8),(1,3),(1,5),(2,8),(3,7),(4,6),(5,2),(5,7),(8,6)],9)
[[5,4,2],[2]] => ([(0,5),(0,8),(1,3),(1,4),(3,6),(4,6),(4,8),(5,2),(5,7),(8,7)],9)
[[5,3,2],[1]] => ([(0,5),(0,8),(1,3),(1,8),(3,7),(4,2),(5,4),(5,6),(8,6),(8,7)],9)
[[2,2,2,2,2,2],[1,1,1]] => ([(0,5),(0,8),(1,4),(2,7),(3,8),(4,3),(5,2),(5,6),(6,7),(8,6)],9)
[[3,3,3,3,3],[2,2,2]] => ([(0,5),(1,3),(1,4),(2,6),(3,7),(4,6),(4,7),(5,2),(6,8),(7,8)],9)
[[7,7],[5]] => ([(0,6),(1,3),(1,8),(2,8),(3,7),(4,5),(5,2),(6,4),(8,7)],9)
[[6,6,6],[5,4]] => ([(0,3),(1,6),(2,6),(2,8),(3,5),(4,8),(5,4),(6,7),(8,7)],9)
[[5,5,5,5],[4,4,3]] => ([(0,6),(0,8),(1,3),(2,4),(3,8),(4,5),(5,6),(6,7),(8,7)],9)
[[4,4,4,4,4],[3,3,3,2]] => ([(0,6),(0,8),(1,3),(2,4),(3,8),(4,5),(5,6),(6,7),(8,7)],9)
[[3,3,3,3,3,3],[2,2,2,2,1]] => ([(0,3),(1,6),(2,6),(2,8),(3,5),(4,8),(5,4),(6,7),(8,7)],9)
[[2,2,2,2,2,2,2],[1,1,1,1,1]] => ([(0,6),(1,3),(1,8),(2,8),(3,7),(4,5),(5,2),(6,4),(8,7)],9)
[[10],[]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[[9,1],[]] => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[[8,2],[]] => ([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6),(8,9)],10)
[[8,1,1],[]] => ([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)
[[7,3],[]] => ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(5,9),(6,1),(7,5),(7,8),(8,9)],10)
[[7,2,1],[]] => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(7,9),(8,1),(8,9)],10)
[[7,1,1,1],[]] => ([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)
[[6,4],[]] => ([(0,2),(0,6),(2,7),(3,1),(4,3),(4,8),(5,4),(5,9),(6,5),(6,7),(7,9),(9,8)],10)
[[6,3,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(4,9),(5,2),(6,4),(6,8),(7,1),(7,8),(8,9)],10)
[[6,2,2],[]] => ([(0,6),(0,7),(2,9),(3,5),(4,3),(5,1),(6,4),(6,8),(7,2),(7,8),(8,9)],10)
[[6,2,1,1],[]] => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(7,9),(8,4),(8,9)],10)
[[6,1,1,1,1],[]] => ([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)
[[5,5],[]] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[[5,4,1],[]] => ([(0,5),(0,6),(3,4),(3,9),(4,2),(4,8),(5,3),(5,7),(6,1),(6,7),(7,9),(9,8)],10)
[[5,3,2],[]] => ([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9)],10)
[[5,3,1,1],[]] => ([(0,6),(0,7),(3,4),(3,9),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8),(8,9)],10)
[[5,2,2,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(5,9),(6,5),(6,8),(7,3),(7,8),(8,9)],10)
[[5,2,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(7,9),(8,4),(8,9)],10)
[[5,1,1,1,1,1],[]] => ([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],10)
[[4,4,2],[]] => ([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10)
[[4,4,1,1],[]] => ([(0,5),(0,6),(2,8),(3,1),(4,2),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(9,8)],10)
[[4,3,3],[]] => ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10)
[[4,3,2,1],[]] => ([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9)],10)
[[4,3,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(5,9),(6,5),(6,8),(7,3),(7,8),(8,9)],10)
[[4,2,2,2],[]] => ([(0,5),(0,6),(2,8),(3,1),(4,2),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(9,8)],10)
[[4,2,2,1,1],[]] => ([(0,6),(0,7),(3,4),(3,9),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8),(8,9)],10)
[[4,2,1,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(7,9),(8,4),(8,9)],10)
[[4,1,1,1,1,1,1],[]] => ([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],10)
[[3,3,3,1],[]] => ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8),(7,9),(8,9)],10)
[[3,3,2,2],[]] => ([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(9,7)],10)
[[3,3,2,1,1],[]] => ([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9)],10)
[[3,3,1,1,1,1],[]] => ([(0,6),(0,7),(2,9),(3,5),(4,3),(5,1),(6,4),(6,8),(7,2),(7,8),(8,9)],10)
[[3,2,2,2,1],[]] => ([(0,5),(0,6),(3,4),(3,9),(4,2),(4,8),(5,3),(5,7),(6,1),(6,7),(7,9),(9,8)],10)
[[3,2,2,1,1,1],[]] => ([(0,6),(0,7),(3,5),(4,3),(4,9),(5,2),(6,4),(6,8),(7,1),(7,8),(8,9)],10)
[[3,2,1,1,1,1,1],[]] => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(7,9),(8,1),(8,9)],10)
[[3,1,1,1,1,1,1,1],[]] => ([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)
[[2,2,2,2,2],[]] => ([(0,2),(0,5),(1,7),(2,6),(3,4),(3,9),(4,1),(4,8),(5,3),(5,6),(6,9),(8,7),(9,8)],10)
[[2,2,2,2,1,1],[]] => ([(0,2),(0,6),(2,7),(3,1),(4,3),(4,8),(5,4),(5,9),(6,5),(6,7),(7,9),(9,8)],10)
[[2,2,2,1,1,1,1],[]] => ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(5,9),(6,1),(7,5),(7,8),(8,9)],10)
[[2,2,1,1,1,1,1,1],[]] => ([(0,2),(0,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6),(8,9)],10)
[[2,1,1,1,1,1,1,1,1],[]] => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[[1,1,1,1,1,1,1,1,1,1],[]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)
[[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => ([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)
[[3,3,3,3,3,3,3,3],[2,2,2,2,2,2,2]] => ([(0,8),(1,3),(2,9),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10)
[[4,4,4,4,4,4,4],[3,3,3,3,3,3]] => ([(0,8),(1,7),(2,9),(3,9),(4,6),(5,4),(6,3),(7,5),(8,2)],10)
[[5,5,5,5,5,5],[4,4,4,4,4]] => ([(0,7),(1,8),(2,9),(3,9),(4,5),(5,2),(6,3),(7,6),(8,4)],10)
[[6,6,6,6,6],[5,5,5,5]] => ([(0,7),(1,8),(2,9),(3,9),(4,5),(5,2),(6,3),(7,6),(8,4)],10)
[[7,7,7,7],[6,6,6]] => ([(0,8),(1,7),(2,9),(3,9),(4,6),(5,4),(6,3),(7,5),(8,2)],10)
[[8,8,8],[7,7]] => ([(0,8),(1,3),(2,9),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6)],10)
[[9,9],[8]] => ([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)
[[4,4,4],[1,1]] => ([(0,3),(0,4),(1,7),(2,8),(3,2),(3,9),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10)
[[3,3,3,2],[1]] => ([(0,3),(0,9),(1,4),(1,9),(2,5),(3,2),(3,8),(4,7),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[[3,3,3,3],[1,1]] => ([(0,3),(0,4),(1,2),(1,9),(2,8),(3,7),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10)
[[4,4,3],[1]] => ([(0,3),(0,9),(1,4),(1,9),(2,5),(3,2),(3,8),(4,7),(7,6),(8,5),(8,6),(9,7),(9,8)],10)
[[4,4,4],[2]] => ([(0,3),(0,4),(1,2),(1,9),(2,8),(3,7),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10)
[[3,3,3,3],[2]] => ([(0,3),(0,4),(1,7),(2,8),(3,2),(3,9),(4,7),(4,9),(6,5),(7,6),(8,5),(9,6),(9,8)],10)
[[4,4,4,4],[2,2,2]] => ([(0,4),(1,3),(1,5),(2,6),(2,8),(3,7),(4,6),(5,2),(5,7),(6,9),(7,8),(8,9)],10)
[[5,5,4],[2,2]] => ([(0,4),(1,3),(1,5),(2,8),(3,6),(3,7),(4,6),(5,2),(5,7),(6,9),(7,8),(7,9)],10)
[[5,5,5],[3,2]] => ([(0,4),(1,3),(1,9),(2,7),(2,9),(3,8),(4,7),(6,5),(7,6),(8,5),(9,6),(9,8)],10)
[[6,6],[2]] => ([(0,5),(0,9),(1,3),(2,7),(3,9),(4,2),(4,8),(5,4),(5,6),(6,8),(8,7),(9,6)],10)
[[4,4,4,3],[2,2,1]] => ([(0,3),(0,4),(1,7),(2,7),(2,9),(3,8),(4,8),(4,9),(7,6),(8,5),(9,5),(9,6)],10)
[[5,5,3],[2,1]] => ([(0,8),(1,4),(1,9),(2,8),(2,9),(3,6),(4,3),(4,7),(7,6),(8,5),(9,5),(9,7)],10)
[[4,4,3,3],[2,1,1]] => ([(0,8),(1,4),(1,9),(2,3),(2,9),(3,6),(4,7),(4,8),(7,5),(8,5),(9,6),(9,7)],10)
[[3,3,3,3,3],[2,1,1,1]] => ([(0,9),(1,8),(2,3),(2,9),(3,4),(3,7),(4,6),(4,8),(6,5),(7,6),(8,5),(9,7)],10)
[[4,3,3,3],[1,1,1]] => ([(0,9),(1,4),(1,5),(3,8),(3,9),(4,2),(4,6),(5,3),(5,6),(6,8),(8,7),(9,7)],10)
[[5,4,3],[1,1]] => ([(0,9),(1,3),(1,4),(3,6),(3,9),(4,5),(4,6),(5,2),(5,7),(6,7),(6,8),(9,8)],10)
[[5,5,4],[3,1]] => ([(0,8),(1,4),(1,8),(2,3),(2,9),(3,6),(4,7),(4,9),(7,5),(8,7),(9,5),(9,6)],10)
[[4,4,4,4],[3,2,1]] => ([(0,8),(1,7),(2,7),(2,9),(3,8),(3,9),(5,4),(6,4),(7,5),(8,6),(9,5),(9,6)],10)
[[5,4,4],[2,1]] => ([(0,8),(1,4),(1,9),(2,8),(2,9),(4,3),(4,7),(6,5),(7,5),(8,6),(9,6),(9,7)],10)
[[5,5,5],[4,1]] => ([(0,9),(1,8),(2,3),(2,9),(3,4),(3,7),(4,6),(4,8),(6,5),(7,6),(8,5),(9,7)],10)
[[6,5],[1]] => ([(0,9),(1,3),(1,9),(3,4),(3,6),(4,5),(4,8),(5,2),(5,7),(6,8),(8,7),(9,6)],10)
[[4,4,4,2],[2,2]] => ([(0,2),(0,4),(1,3),(1,5),(2,7),(3,6),(4,7),(4,8),(5,6),(5,8),(7,9),(8,9)],10)
[[5,5,2],[2]] => ([(0,5),(0,9),(1,3),(1,4),(2,8),(3,6),(4,6),(4,9),(5,2),(5,7),(7,8),(9,7)],10)
[[4,4,3,2],[2,1]] => ([(0,4),(0,9),(1,3),(1,8),(2,8),(2,9),(3,6),(4,7),(8,5),(8,6),(9,5),(9,7)],10)
[[4,3,3,2],[1,1]] => ([(0,4),(0,9),(1,3),(1,5),(3,7),(3,9),(4,6),(5,2),(5,7),(7,8),(9,6),(9,8)],10)
[[5,4,2],[1]] => ([(0,5),(0,9),(1,3),(1,9),(3,7),(4,2),(4,8),(5,4),(5,6),(6,8),(9,6),(9,7)],10)
[[4,4,2,2],[2]] => ([(0,4),(0,9),(1,3),(1,5),(2,8),(3,7),(3,9),(4,6),(5,2),(5,7),(7,8),(9,6)],10)
[[4,3,2,2],[1]] => ([(0,4),(0,9),(1,5),(1,9),(3,8),(4,2),(4,6),(5,3),(5,7),(7,8),(9,6),(9,7)],10)
[[2,2,2,2,2,2],[1,1]] => ([(0,5),(0,9),(1,3),(2,7),(3,9),(4,2),(4,8),(5,4),(5,6),(6,8),(8,7),(9,6)],10)
[[5,5,3],[3]] => ([(0,4),(0,9),(1,3),(1,5),(2,8),(2,9),(3,7),(4,6),(5,2),(5,7),(7,8),(9,6)],10)
[[5,4,3],[2]] => ([(0,5),(0,9),(1,3),(1,4),(3,6),(4,6),(4,9),(5,2),(5,7),(6,8),(9,7),(9,8)],10)
[[3,3,3,3,3],[2,2,1]] => ([(0,4),(1,3),(1,9),(2,7),(2,9),(3,8),(4,7),(6,5),(7,6),(8,5),(9,6),(9,8)],10)
[[5,3,3],[1]] => ([(0,5),(0,9),(1,3),(1,9),(3,7),(4,2),(5,4),(5,6),(6,8),(7,8),(9,6),(9,7)],10)
[[4,4,4,4],[3,3]] => ([(0,4),(1,3),(1,5),(2,6),(2,8),(3,7),(4,6),(5,2),(5,7),(6,9),(7,8),(8,9)],10)
[[6,6,6],[4,4]] => ([(0,6),(1,3),(1,4),(2,7),(3,8),(4,7),(4,8),(5,2),(6,5),(7,9),(8,9)],10)
[[7,7],[4]] => ([(0,5),(1,6),(1,9),(2,8),(3,9),(4,3),(5,4),(6,2),(6,7),(7,8),(9,7)],10)
[[5,5,5,5],[4,3,3]] => ([(0,3),(1,9),(2,5),(2,9),(3,4),(4,8),(5,7),(5,8),(7,6),(8,6),(9,7)],10)
[[6,6,6],[5,3]] => ([(0,3),(1,8),(2,5),(2,9),(3,4),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10)
[[4,4,4,4,4],[3,3,2,2]] => ([(0,3),(1,4),(2,5),(2,9),(3,8),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10)
[[5,5,5,5],[4,4,2]] => ([(0,3),(1,4),(2,5),(2,9),(3,8),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10)
[[3,3,3,3,3,3],[2,2,2,1,1]] => ([(0,3),(1,8),(2,5),(2,9),(3,4),(4,9),(5,7),(5,8),(7,6),(8,6),(9,7)],10)
[[4,4,4,4,4],[3,3,3,1]] => ([(0,3),(1,9),(2,5),(2,9),(3,4),(4,8),(5,7),(5,8),(7,6),(8,6),(9,7)],10)
[[2,2,2,2,2,2,2],[1,1,1,1]] => ([(0,5),(1,6),(1,9),(2,8),(3,9),(4,3),(5,4),(6,2),(6,7),(7,8),(9,7)],10)
[[3,3,3,3,3,3],[2,2,2,2]] => ([(0,6),(1,3),(1,4),(2,7),(3,8),(4,7),(4,8),(5,2),(6,5),(7,9),(8,9)],10)
[[8,8],[6]] => ([(0,7),(1,3),(1,9),(2,9),(3,8),(4,6),(5,4),(6,2),(7,5),(9,8)],10)
[[7,7,7],[6,5]] => ([(0,9),(1,8),(1,9),(2,6),(3,8),(4,5),(5,3),(6,4),(8,7),(9,7)],10)
[[6,6,6,6],[5,5,4]] => ([(0,7),(0,8),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,9),(8,9)],10)
[[5,5,5,5,5],[4,4,4,3]] => ([(0,7),(0,8),(1,6),(2,5),(3,7),(4,8),(5,3),(6,4),(7,9),(8,9)],10)
[[4,4,4,4,4,4],[3,3,3,3,2]] => ([(0,7),(0,8),(1,6),(2,4),(3,7),(4,8),(5,3),(6,5),(7,9),(8,9)],10)
[[3,3,3,3,3,3,3],[2,2,2,2,2,1]] => ([(0,9),(1,8),(1,9),(2,6),(3,8),(4,5),(5,3),(6,4),(8,7),(9,7)],10)
[[2,2,2,2,2,2,2,2],[1,1,1,1,1,1]] => ([(0,7),(1,3),(1,9),(2,9),(3,8),(4,6),(5,4),(6,2),(7,5),(9,8)],10)
[[6,5],[]] => ([(0,2),(0,6),(2,7),(3,5),(3,9),(4,3),(4,10),(5,1),(5,8),(6,4),(6,7),(7,10),(9,8),(10,9)],11)
[[5,5,1],[]] => ([(0,5),(0,6),(2,8),(3,2),(3,9),(4,3),(4,10),(5,4),(5,7),(6,1),(6,7),(7,10),(9,8),(10,9)],11)
[[5,4,2],[]] => ([(0,5),(0,6),(2,9),(3,4),(3,10),(4,1),(4,8),(5,3),(5,7),(6,2),(6,7),(7,9),(7,10),(10,8)],11)
[[5,4,1,1],[]] => ([(0,6),(0,7),(3,2),(4,5),(4,10),(5,1),(5,9),(6,4),(6,8),(7,3),(7,8),(8,10),(10,9)],11)
[[5,3,3],[]] => ([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9),(8,10),(9,10)],11)
[[5,3,2,1],[]] => ([(0,6),(0,7),(3,2),(4,3),(4,9),(5,1),(5,10),(6,4),(6,8),(7,5),(7,8),(8,9),(8,10)],11)
[[5,3,1,1,1],[]] => ([(0,7),(0,8),(3,5),(4,6),(4,10),(5,1),(6,2),(7,3),(7,9),(8,4),(8,9),(9,10)],11)
[[5,2,2,2],[]] => ([(0,6),(0,7),(2,9),(3,4),(4,1),(5,2),(5,10),(6,3),(6,8),(7,5),(7,8),(8,10),(10,9)],11)
[[5,2,2,1,1],[]] => ([(0,7),(0,8),(3,5),(4,6),(4,10),(5,1),(6,2),(7,3),(7,9),(8,4),(8,9),(9,10)],11)
[[4,4,3],[]] => ([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(8,10),(9,7),(9,10)],11)
[[4,4,2,1],[]] => ([(0,5),(0,6),(2,8),(3,2),(3,10),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(10,8)],11)
[[4,4,1,1,1],[]] => ([(0,6),(0,7),(2,9),(3,4),(4,1),(5,2),(5,10),(6,3),(6,8),(7,5),(7,8),(8,10),(10,9)],11)
[[4,3,3,1],[]] => ([(0,5),(0,6),(3,2),(3,8),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,8),(7,9),(8,10),(9,10)],11)
[[4,3,2,2],[]] => ([(0,5),(0,6),(2,8),(3,2),(3,10),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(10,8)],11)
[[4,3,2,1,1],[]] => ([(0,6),(0,7),(3,2),(4,3),(4,9),(5,1),(5,10),(6,4),(6,8),(7,5),(7,8),(8,9),(8,10)],11)
[[4,2,2,2,1],[]] => ([(0,6),(0,7),(3,2),(4,5),(4,10),(5,1),(5,9),(6,4),(6,8),(7,3),(7,8),(8,10),(10,9)],11)
[[3,3,3,2],[]] => ([(0,4),(0,5),(1,8),(2,7),(3,2),(3,9),(4,3),(4,6),(5,1),(5,6),(6,8),(6,9),(8,10),(9,7),(9,10)],11)
[[3,3,3,1,1],[]] => ([(0,5),(0,6),(2,9),(3,1),(4,3),(4,8),(5,4),(5,7),(6,2),(6,7),(7,8),(7,9),(8,10),(9,10)],11)
[[3,3,2,2,1],[]] => ([(0,5),(0,6),(2,9),(3,4),(3,10),(4,1),(4,8),(5,3),(5,7),(6,2),(6,7),(7,9),(7,10),(10,8)],11)
[[3,2,2,2,2],[]] => ([(0,5),(0,6),(2,8),(3,2),(3,9),(4,3),(4,10),(5,4),(5,7),(6,1),(6,7),(7,10),(9,8),(10,9)],11)
[[4,4,4],[1]] => ([(0,3),(0,10),(1,4),(1,10),(2,7),(3,8),(4,2),(4,9),(6,5),(7,5),(8,6),(9,6),(9,7),(10,8),(10,9)],11)
[[3,3,3,3],[1]] => ([(0,3),(0,10),(1,4),(1,10),(2,7),(3,8),(4,2),(4,9),(6,5),(7,5),(8,6),(9,6),(9,7),(10,8),(10,9)],11)
[[4,4,4,1],[1,1]] => ([(0,4),(0,5),(1,2),(1,8),(3,9),(4,3),(4,10),(5,8),(5,10),(7,6),(8,7),(9,6),(10,7),(10,9)],11)
[[4,4,3,1],[1]] => ([(0,4),(0,10),(1,5),(1,10),(3,6),(4,3),(4,9),(5,2),(5,8),(8,7),(9,6),(9,7),(10,8),(10,9)],11)
[[4,4,4,1],[2]] => ([(0,4),(0,5),(1,3),(1,10),(3,9),(4,2),(4,8),(5,8),(5,10),(7,6),(8,7),(9,6),(10,7),(10,9)],11)
[[4,4,4,2],[1,1,1]] => ([(0,3),(0,4),(1,7),(2,8),(3,2),(3,10),(4,5),(4,10),(5,7),(5,9),(8,6),(9,6),(10,8),(10,9)],11)
[[5,5,5],[2,2]] => ([(0,3),(1,4),(1,5),(2,8),(3,9),(4,2),(4,10),(5,9),(5,10),(7,6),(8,6),(9,7),(10,7),(10,8)],11)
[[3,3,3,3,3],[1,1,1,1]] => ([(0,3),(0,4),(1,9),(2,5),(2,7),(3,10),(4,2),(4,10),(5,8),(5,9),(7,8),(8,6),(9,6),(10,7)],11)
[[4,4,3,3],[1,1,1]] => ([(0,3),(0,4),(1,9),(2,6),(3,2),(3,10),(4,5),(4,10),(5,8),(5,9),(8,7),(9,7),(10,6),(10,8)],11)
[[4,4,4,3],[2,1,1]] => ([(0,8),(1,4),(1,10),(2,3),(2,10),(3,7),(4,8),(4,9),(7,6),(8,5),(9,5),(9,6),(10,7),(10,9)],11)
[[5,5,3],[1,1]] => ([(0,4),(0,5),(1,8),(2,3),(2,9),(3,6),(4,2),(4,10),(5,8),(5,10),(8,7),(9,6),(10,7),(10,9)],11)
[[4,4,4,4],[2,2,1]] => ([(0,3),(0,4),(1,8),(2,8),(2,10),(3,9),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
[[5,5,4],[2,1]] => ([(0,8),(1,4),(1,10),(2,8),(2,10),(3,6),(4,3),(4,9),(7,5),(8,7),(9,5),(9,6),(10,7),(10,9)],11)
[[5,5,5],[3,1]] => ([(0,9),(1,4),(1,9),(2,3),(2,10),(3,8),(4,7),(4,10),(6,5),(7,6),(8,5),(9,7),(10,6),(10,8)],11)
[[6,6],[1]] => ([(0,10),(1,5),(1,10),(2,4),(2,7),(3,6),(4,3),(4,9),(5,2),(5,8),(7,9),(8,7),(9,6),(10,8)],11)
[[4,4,4,4],[3,1,1]] => ([(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
[[5,4,4],[1,1]] => ([(0,4),(0,5),(1,8),(3,2),(3,9),(4,3),(4,10),(5,8),(5,10),(7,6),(8,7),(9,6),(10,7),(10,9)],11)
[[3,3,3,3,2],[1,1,1]] => ([(0,3),(0,4),(1,2),(1,10),(2,6),(3,9),(4,5),(4,9),(5,8),(5,10),(8,7),(9,8),(10,6),(10,7)],11)
[[4,4,3,2],[1,1]] => ([(0,4),(0,5),(1,3),(1,10),(2,8),(3,7),(4,2),(4,9),(5,9),(5,10),(9,6),(9,8),(10,6),(10,7)],11)
[[4,4,4,2],[2,1]] => ([(0,3),(0,9),(1,4),(1,10),(2,9),(2,10),(3,8),(4,6),(7,5),(8,5),(9,7),(9,8),(10,6),(10,7)],11)
[[5,5,2],[1]] => ([(0,5),(0,10),(1,4),(1,10),(2,3),(2,9),(3,6),(4,7),(5,2),(5,8),(8,9),(9,6),(10,7),(10,8)],11)
[[3,3,3,2,2],[1,1]] => ([(0,4),(0,5),(1,2),(1,10),(2,3),(2,9),(3,6),(4,8),(5,8),(5,10),(8,7),(9,6),(10,7),(10,9)],11)
[[4,4,2,2],[1]] => ([(0,5),(0,10),(1,4),(1,10),(2,6),(3,7),(4,2),(4,8),(5,3),(5,9),(8,6),(9,7),(10,8),(10,9)],11)
[[3,3,2,2,2],[1]] => ([(0,5),(0,10),(1,4),(1,10),(2,3),(2,9),(3,6),(4,7),(5,2),(5,8),(8,9),(9,6),(10,7),(10,8)],11)
[[4,4,3,2],[2]] => ([(0,4),(0,5),(1,3),(1,10),(2,8),(3,7),(4,2),(4,9),(5,9),(5,10),(9,6),(9,8),(10,6),(10,7)],11)
[[4,3,3,2],[1]] => ([(0,4),(0,10),(1,5),(1,10),(3,6),(4,3),(4,9),(5,2),(5,8),(8,7),(9,6),(9,7),(10,8),(10,9)],11)
[[4,4,4,2],[3]] => ([(0,3),(0,4),(1,9),(2,6),(3,2),(3,10),(4,5),(4,10),(5,8),(5,9),(8,7),(9,7),(10,6),(10,8)],11)
[[4,4,4,3],[2,2]] => ([(0,3),(0,5),(1,2),(1,4),(2,8),(3,9),(4,8),(4,10),(5,9),(5,10),(8,6),(9,7),(10,6),(10,7)],11)
[[5,5,3],[2]] => ([(0,4),(0,5),(1,2),(1,10),(2,3),(2,9),(3,6),(4,8),(5,8),(5,10),(8,7),(9,6),(10,7),(10,9)],11)
[[4,4,3,3],[2,1]] => ([(0,3),(0,9),(1,4),(1,10),(2,9),(2,10),(3,8),(4,6),(7,5),(8,5),(9,7),(9,8),(10,6),(10,7)],11)
[[3,3,3,3,3],[2,1,1]] => ([(0,9),(1,4),(1,9),(2,3),(2,10),(3,8),(4,7),(4,10),(6,5),(7,6),(8,5),(9,7),(10,6),(10,8)],11)
[[4,3,3,3],[1,1]] => ([(0,4),(0,5),(1,3),(1,10),(3,9),(4,2),(4,8),(5,8),(5,10),(7,6),(8,7),(9,6),(10,7),(10,9)],11)
[[4,4,4,3],[3,1]] => ([(0,8),(1,4),(1,10),(2,3),(2,10),(3,7),(4,8),(4,9),(7,6),(8,5),(9,5),(9,6),(10,7),(10,9)],11)
[[5,4,3],[1]] => ([(0,4),(0,10),(1,5),(1,10),(3,2),(3,6),(4,3),(4,9),(5,8),(8,7),(9,6),(9,7),(10,8),(10,9)],11)
[[5,5,4],[3]] => ([(0,3),(0,4),(1,2),(1,10),(2,6),(3,9),(4,5),(4,9),(5,8),(5,10),(8,7),(9,8),(10,6),(10,7)],11)
[[4,4,4,4],[3,2]] => ([(0,3),(0,4),(1,8),(2,8),(2,10),(3,9),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
[[5,4,4],[2]] => ([(0,4),(0,5),(1,3),(1,10),(3,2),(3,9),(4,8),(5,8),(5,10),(7,6),(8,7),(9,6),(10,7),(10,9)],11)
[[5,5,5],[4]] => ([(0,3),(0,4),(1,9),(2,5),(2,7),(3,10),(4,2),(4,10),(5,8),(5,9),(7,8),(8,6),(9,6),(10,7)],11)
[[3,3,3,3,3],[2,2]] => ([(0,3),(1,4),(1,5),(2,8),(3,9),(4,2),(4,10),(5,9),(5,10),(7,6),(8,6),(9,7),(10,7),(10,8)],11)
[[4,3,3,3],[2]] => ([(0,4),(0,5),(1,2),(1,8),(3,9),(4,3),(4,10),(5,8),(5,10),(7,6),(8,7),(9,6),(10,7),(10,9)],11)
[[4,4,3,3],[3]] => ([(0,3),(0,4),(1,7),(2,8),(3,2),(3,10),(4,5),(4,10),(5,7),(5,9),(8,6),(9,6),(10,8),(10,9)],11)
[[5,5,5,5],[3,3,3]] => ([(0,6),(1,4),(1,5),(2,7),(3,7),(3,9),(4,8),(5,3),(5,8),(6,2),(7,10),(8,9),(9,10)],11)
[[4,4,4,4,4],[3,2,2,2]] => ([(0,3),(1,10),(2,4),(2,10),(3,9),(4,5),(4,7),(5,8),(5,9),(7,8),(8,6),(9,6),(10,7)],11)
[[5,5,5,5],[4,3,2]] => ([(0,4),(1,8),(2,9),(2,10),(3,8),(3,10),(4,9),(6,5),(7,5),(8,7),(9,6),(10,6),(10,7)],11)
[[4,4,4,4,4],[3,3,2,1]] => ([(0,4),(1,8),(2,9),(2,10),(3,8),(3,10),(4,9),(6,5),(7,5),(8,7),(9,6),(10,6),(10,7)],11)
[[5,5,5,5],[4,4,1]] => ([(0,3),(1,10),(2,4),(2,10),(3,9),(4,5),(4,7),(5,8),(5,9),(7,8),(8,6),(9,6),(10,7)],11)
[[4,4,4,4,4],[3,3,3]] => ([(0,6),(1,4),(1,5),(2,7),(3,7),(3,9),(4,8),(5,3),(5,8),(6,2),(7,10),(8,9),(9,10)],11)
[[5,5,5,5,5],[4,4,3,3]] => ([(0,4),(1,5),(1,10),(2,6),(3,8),(4,10),(5,7),(5,8),(6,3),(7,9),(8,9),(10,7)],11)
[[5,5,5,5,5],[4,4,4,2]] => ([(0,4),(1,5),(1,10),(2,6),(3,8),(4,10),(5,7),(5,8),(6,3),(7,9),(8,9),(10,7)],11)
[[6,6],[]] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[[6,4,2],[]] => ([(0,6),(0,7),(2,10),(3,1),(4,3),(4,9),(5,4),(5,11),(6,5),(6,8),(7,2),(7,8),(8,10),(8,11),(11,9)],12)
[[5,5,2],[]] => ([(0,5),(0,6),(1,9),(2,8),(3,4),(3,11),(4,2),(4,10),(5,3),(5,7),(6,1),(6,7),(7,9),(7,11),(10,8),(11,10)],12)
[[5,4,3],[]] => ([(0,5),(0,6),(2,9),(3,4),(3,10),(4,1),(4,8),(5,3),(5,7),(6,2),(6,7),(7,9),(7,10),(9,11),(10,8),(10,11)],12)
[[5,4,2,1],[]] => ([(0,6),(0,7),(3,4),(3,11),(4,1),(4,9),(5,2),(5,10),(6,5),(6,8),(7,3),(7,8),(8,10),(8,11),(11,9)],12)
[[5,4,1,1,1],[]] => ([(0,7),(0,8),(3,4),(4,2),(5,6),(5,11),(6,1),(6,10),(7,3),(7,9),(8,5),(8,9),(9,11),(11,10)],12)
[[5,3,3,1],[]] => ([(0,6),(0,7),(3,2),(4,3),(4,9),(5,1),(5,10),(6,4),(6,8),(7,5),(7,8),(8,9),(8,10),(9,11),(10,11)],12)
[[5,3,2,2],[]] => ([(0,6),(0,7),(2,9),(3,1),(4,3),(4,10),(5,2),(5,11),(6,4),(6,8),(7,5),(7,8),(8,10),(8,11),(11,9)],12)
[[5,3,2,1,1],[]] => ([(0,7),(0,8),(3,2),(4,1),(5,3),(5,10),(6,4),(6,11),(7,5),(7,9),(8,6),(8,9),(9,10),(9,11)],12)
[[5,2,2,2,1],[]] => ([(0,7),(0,8),(3,4),(4,2),(5,6),(5,11),(6,1),(6,10),(7,3),(7,9),(8,5),(8,9),(9,11),(11,10)],12)
[[4,4,4],[]] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[[4,4,3,1],[]] => ([(0,5),(0,6),(2,8),(3,2),(3,10),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(9,11),(10,8),(10,11)],12)
[[4,4,2,2],[]] => ([(0,5),(0,6),(1,9),(2,8),(3,2),(3,10),(4,1),(4,11),(5,3),(5,7),(6,4),(6,7),(7,10),(7,11),(10,8),(11,9)],12)
[[4,4,2,1,1],[]] => ([(0,6),(0,7),(2,9),(3,1),(4,3),(4,10),(5,2),(5,11),(6,4),(6,8),(7,5),(7,8),(8,10),(8,11),(11,9)],12)
[[4,3,3,2],[]] => ([(0,5),(0,6),(2,8),(3,2),(3,10),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(9,11),(10,8),(10,11)],12)
[[4,3,3,1,1],[]] => ([(0,6),(0,7),(3,2),(4,3),(4,9),(5,1),(5,10),(6,4),(6,8),(7,5),(7,8),(8,9),(8,10),(9,11),(10,11)],12)
[[4,3,2,2,1],[]] => ([(0,6),(0,7),(3,4),(3,11),(4,1),(4,9),(5,2),(5,10),(6,5),(6,8),(7,3),(7,8),(8,10),(8,11),(11,9)],12)
[[3,3,3,3],[]] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,8),(4,1),(4,10),(5,2),(5,10),(7,6),(8,6),(9,7),(10,9),(10,11),(11,7),(11,8)],12)
[[3,3,3,2,1],[]] => ([(0,5),(0,6),(2,9),(3,4),(3,10),(4,1),(4,8),(5,3),(5,7),(6,2),(6,7),(7,9),(7,10),(9,11),(10,8),(10,11)],12)
[[3,3,2,2,2],[]] => ([(0,5),(0,6),(1,9),(2,8),(3,4),(3,11),(4,2),(4,10),(5,3),(5,7),(6,1),(6,7),(7,9),(7,11),(10,8),(11,10)],12)
[[3,3,2,2,1,1],[]] => ([(0,6),(0,7),(2,10),(3,1),(4,3),(4,9),(5,4),(5,11),(6,5),(6,8),(7,2),(7,8),(8,10),(8,11),(11,9)],12)
[[2,2,2,2,2,2],[]] => ([(0,2),(0,6),(1,8),(2,7),(3,5),(3,9),(4,3),(4,11),(5,1),(5,10),(6,4),(6,7),(7,11),(9,10),(10,8),(11,9)],12)
[[4,4,4,1],[1]] => ([(0,4),(0,11),(1,5),(1,11),(3,8),(4,3),(4,10),(5,2),(5,9),(7,6),(8,6),(9,7),(10,7),(10,8),(11,9),(11,10)],12)
[[3,3,3,3,1],[1]] => ([(0,4),(0,11),(1,5),(1,11),(3,2),(3,8),(4,9),(5,3),(5,10),(7,6),(8,6),(9,7),(10,7),(10,8),(11,9),(11,10)],12)
[[4,4,4,3],[1,1,1]] => ([(0,3),(0,4),(1,9),(2,8),(3,2),(3,11),(4,5),(4,11),(5,9),(5,10),(8,7),(9,6),(10,6),(10,7),(11,8),(11,10)],12)
[[5,5,5],[2,1]] => ([(0,9),(1,4),(1,11),(2,9),(2,11),(3,8),(4,3),(4,10),(6,7),(7,5),(8,5),(9,6),(10,7),(10,8),(11,6),(11,10)],12)
[[4,4,4,4],[2,1,1]] => ([(0,9),(1,4),(1,11),(2,3),(2,11),(3,8),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7),(11,8),(11,10)],12)
[[5,5,4],[1,1]] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,6),(4,2),(4,10),(5,9),(5,10),(8,7),(9,8),(10,8),(10,11),(11,6),(11,7)],12)
[[4,4,4,2],[1,1]] => ([(0,4),(0,5),(1,3),(1,11),(2,9),(3,7),(4,2),(4,10),(5,10),(5,11),(8,6),(9,6),(10,8),(10,9),(11,7),(11,8)],12)
[[3,3,3,2,2],[1]] => ([(0,5),(0,11),(1,4),(1,11),(2,3),(2,9),(3,6),(4,8),(5,2),(5,10),(8,7),(9,6),(10,7),(10,9),(11,8),(11,10)],12)
[[3,3,3,3,2],[1,1]] => ([(0,4),(0,5),(1,2),(1,10),(2,3),(2,11),(3,6),(4,9),(5,9),(5,10),(8,7),(9,8),(10,8),(10,11),(11,6),(11,7)],12)
[[4,4,3,2],[1]] => ([(0,5),(0,11),(1,4),(1,11),(2,7),(3,8),(4,2),(4,9),(5,3),(5,10),(9,6),(9,7),(10,6),(10,8),(11,9),(11,10)],12)
[[4,4,4,2],[2]] => ([(0,4),(0,5),(1,3),(1,11),(2,7),(3,9),(4,2),(4,10),(5,10),(5,11),(8,6),(9,6),(10,7),(10,8),(11,8),(11,9)],12)
[[3,3,3,3,2],[2]] => ([(0,4),(0,5),(1,9),(2,3),(2,11),(3,6),(4,2),(4,10),(5,9),(5,10),(8,7),(9,8),(10,8),(10,11),(11,6),(11,7)],12)
[[3,3,3,3,3],[1,1,1]] => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,10),(4,5),(4,10),(5,9),(5,11),(7,6),(8,6),(9,7),(10,9),(11,7),(11,8)],12)
[[4,4,3,3],[1,1]] => ([(0,4),(0,5),(1,3),(1,11),(2,7),(3,9),(4,2),(4,10),(5,10),(5,11),(8,6),(9,6),(10,7),(10,8),(11,8),(11,9)],12)
[[4,4,4,3],[2,1]] => ([(0,4),(0,11),(1,3),(1,10),(2,10),(2,11),(3,7),(4,8),(7,5),(8,6),(9,5),(9,6),(10,7),(10,9),(11,8),(11,9)],12)
[[5,5,3],[1]] => ([(0,5),(0,11),(1,4),(1,11),(2,3),(2,9),(3,6),(4,8),(5,2),(5,10),(8,7),(9,6),(10,7),(10,9),(11,8),(11,10)],12)
[[4,4,4,4],[2,2]] => ([(0,3),(0,5),(1,2),(1,4),(2,9),(3,10),(4,9),(4,11),(5,10),(5,11),(7,6),(8,6),(9,7),(10,8),(11,7),(11,8)],12)
[[5,5,4],[2]] => ([(0,4),(0,5),(1,2),(1,10),(2,3),(2,11),(3,6),(4,9),(5,9),(5,10),(8,7),(9,8),(10,8),(10,11),(11,6),(11,7)],12)
[[5,5,5],[3]] => ([(0,3),(0,4),(1,2),(1,11),(2,8),(3,10),(4,5),(4,10),(5,9),(5,11),(7,6),(8,6),(9,7),(10,9),(11,7),(11,8)],12)
[[4,4,4,4],[3,1]] => ([(0,9),(1,4),(1,11),(2,3),(2,11),(3,8),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7),(11,8),(11,10)],12)
[[5,4,4],[1]] => ([(0,4),(0,11),(1,5),(1,11),(3,2),(3,8),(4,9),(5,3),(5,10),(7,6),(8,6),(9,7),(10,7),(10,8),(11,9),(11,10)],12)
[[4,4,3,3],[2]] => ([(0,4),(0,5),(1,3),(1,11),(2,9),(3,7),(4,2),(4,10),(5,10),(5,11),(8,6),(9,6),(10,8),(10,9),(11,7),(11,8)],12)
[[3,3,3,3,3],[2,1]] => ([(0,9),(1,4),(1,11),(2,9),(2,11),(3,8),(4,3),(4,10),(6,7),(7,5),(8,5),(9,6),(10,7),(10,8),(11,6),(11,10)],12)
[[4,3,3,3],[1]] => ([(0,4),(0,11),(1,5),(1,11),(3,8),(4,3),(4,10),(5,2),(5,9),(7,6),(8,6),(9,7),(10,7),(10,8),(11,9),(11,10)],12)
[[4,4,4,3],[3]] => ([(0,3),(0,4),(1,9),(2,8),(3,2),(3,11),(4,5),(4,11),(5,9),(5,10),(8,7),(9,6),(10,6),(10,7),(11,8),(11,10)],12)
[[5,5,5,5],[3,3,2]] => ([(0,3),(1,4),(1,5),(2,10),(2,11),(3,10),(4,9),(5,9),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8)],12)
[[6,6,6],[4,2]] => ([(0,3),(1,4),(1,11),(2,5),(2,10),(3,10),(4,8),(5,9),(5,11),(7,6),(8,6),(9,7),(10,9),(11,7),(11,8)],12)
[[5,5,5,5],[4,2,2]] => ([(0,3),(1,4),(1,5),(2,10),(3,9),(4,10),(4,11),(5,9),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8)],12)
[[4,4,4,4,4],[3,2,2,1]] => ([(0,10),(1,9),(2,4),(2,10),(3,9),(3,11),(4,8),(4,11),(6,5),(7,5),(8,6),(9,7),(10,8),(11,6),(11,7)],12)
[[5,5,5,5],[4,3,1]] => ([(0,10),(1,9),(2,4),(2,10),(3,9),(3,11),(4,8),(4,11),(6,5),(7,5),(8,6),(9,7),(10,8),(11,6),(11,7)],12)
[[4,4,4,4,4],[3,3,1,1]] => ([(0,3),(1,4),(1,5),(2,10),(3,9),(4,10),(4,11),(5,9),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8)],12)
[[3,3,3,3,3,3],[2,2,1,1]] => ([(0,3),(1,4),(1,11),(2,5),(2,10),(3,10),(4,8),(5,9),(5,11),(7,6),(8,6),(9,7),(10,9),(11,7),(11,8)],12)
[[4,4,4,4,4],[3,3,2]] => ([(0,3),(1,4),(1,5),(2,10),(2,11),(3,10),(4,9),(5,9),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8)],12)
[[5,5,5,5,5],[4,3,3,3]] => ([(0,3),(1,11),(2,5),(2,11),(3,4),(4,10),(5,6),(5,8),(6,9),(6,10),(8,9),(9,7),(10,7),(11,8)],12)
[[5,5,5,5,5],[4,4,3,2]] => ([(0,5),(1,4),(2,9),(2,11),(3,10),(3,11),(4,9),(5,10),(7,6),(8,6),(9,7),(10,8),(11,7),(11,8)],12)
[[5,5,5,5,5],[4,4,4,1]] => ([(0,3),(1,11),(2,5),(2,11),(3,4),(4,10),(5,6),(5,8),(6,9),(6,10),(8,9),(9,7),(10,7),(11,8)],12)
[[5,5,3],[]] => ([(0,5),(0,6),(1,9),(2,8),(3,4),(3,11),(4,2),(4,10),(5,3),(5,7),(6,1),(6,7),(7,9),(7,11),(9,12),(10,8),(11,10),(11,12)],13)
[[5,4,4],[]] => ([(0,5),(0,6),(2,9),(3,4),(3,10),(4,1),(4,8),(5,3),(5,7),(6,2),(6,7),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[5,4,3,1],[]] => ([(0,6),(0,7),(3,4),(3,11),(4,1),(4,9),(5,2),(5,10),(6,5),(6,8),(7,3),(7,8),(8,10),(8,11),(10,12),(11,9),(11,12)],13)
[[5,4,2,2],[]] => ([(0,6),(0,7),(2,10),(3,5),(3,11),(4,2),(4,12),(5,1),(5,9),(6,3),(6,8),(7,4),(7,8),(8,11),(8,12),(11,9),(12,10)],13)
[[5,4,2,1,1],[]] => ([(0,7),(0,8),(3,2),(4,6),(4,12),(5,3),(5,11),(6,1),(6,10),(7,4),(7,9),(8,5),(8,9),(9,11),(9,12),(12,10)],13)
[[5,3,3,2],[]] => ([(0,6),(0,7),(2,9),(3,1),(4,3),(4,10),(5,2),(5,11),(6,4),(6,8),(7,5),(7,8),(8,10),(8,11),(10,12),(11,9),(11,12)],13)
[[5,3,3,1,1],[]] => ([(0,7),(0,8),(3,2),(4,1),(5,3),(5,10),(6,4),(6,11),(7,5),(7,9),(8,6),(8,9),(9,10),(9,11),(10,12),(11,12)],13)
[[5,3,2,2,1],[]] => ([(0,7),(0,8),(3,2),(4,6),(4,12),(5,3),(5,11),(6,1),(6,10),(7,4),(7,9),(8,5),(8,9),(9,11),(9,12),(12,10)],13)
[[4,4,4,1],[]] => ([(0,5),(0,6),(2,8),(3,2),(3,10),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[4,4,3,2],[]] => ([(0,5),(0,6),(1,9),(2,8),(3,2),(3,10),(4,1),(4,11),(5,3),(5,7),(6,4),(6,7),(7,10),(7,11),(10,8),(10,12),(11,9),(11,12)],13)
[[4,4,3,1,1],[]] => ([(0,6),(0,7),(2,9),(3,1),(4,3),(4,10),(5,2),(5,11),(6,4),(6,8),(7,5),(7,8),(8,10),(8,11),(10,12),(11,9),(11,12)],13)
[[4,4,2,2,1],[]] => ([(0,6),(0,7),(2,10),(3,5),(3,11),(4,2),(4,12),(5,1),(5,9),(6,3),(6,8),(7,4),(7,8),(8,11),(8,12),(11,9),(12,10)],13)
[[4,3,3,3],[]] => ([(0,5),(0,6),(2,8),(3,2),(3,10),(4,1),(4,9),(5,3),(5,7),(6,4),(6,7),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[4,3,3,2,1],[]] => ([(0,6),(0,7),(3,4),(3,11),(4,1),(4,9),(5,2),(5,10),(6,5),(6,8),(7,3),(7,8),(8,10),(8,11),(10,12),(11,9),(11,12)],13)
[[3,3,3,3,1],[]] => ([(0,5),(0,6),(2,9),(3,4),(3,10),(4,1),(4,8),(5,3),(5,7),(6,2),(6,7),(7,9),(7,10),(8,12),(9,11),(10,8),(10,11),(11,12)],13)
[[3,3,3,2,2],[]] => ([(0,5),(0,6),(1,9),(2,8),(3,4),(3,11),(4,2),(4,10),(5,3),(5,7),(6,1),(6,7),(7,9),(7,11),(9,12),(10,8),(11,10),(11,12)],13)
[[4,4,4,4],[1,1,1]] => ([(0,3),(0,4),(1,10),(2,7),(3,2),(3,12),(4,5),(4,12),(5,10),(5,11),(7,8),(8,6),(9,6),(10,9),(11,8),(11,9),(12,7),(12,11)],13)
[[5,5,5],[1,1]] => ([(0,4),(0,5),(1,10),(2,3),(2,12),(3,9),(4,2),(4,11),(5,10),(5,11),(7,8),(8,6),(9,6),(10,7),(11,7),(11,12),(12,8),(12,9)],13)
[[4,4,4,2],[1]] => ([(0,4),(0,12),(1,5),(1,12),(2,9),(3,7),(4,2),(4,10),(5,3),(5,11),(8,6),(9,6),(10,8),(10,9),(11,7),(11,8),(12,10),(12,11)],13)
[[3,3,3,3,2],[1]] => ([(0,5),(0,12),(1,4),(1,12),(2,3),(2,11),(3,7),(4,8),(5,2),(5,10),(8,9),(9,6),(10,9),(10,11),(11,6),(11,7),(12,8),(12,10)],13)
[[4,4,4,3],[1,1]] => ([(0,4),(0,5),(1,3),(1,12),(2,8),(3,9),(4,2),(4,11),(5,11),(5,12),(8,6),(9,7),(10,6),(10,7),(11,8),(11,10),(12,9),(12,10)],13)
[[5,5,5],[2]] => ([(0,4),(0,5),(1,2),(1,11),(2,3),(2,12),(3,9),(4,10),(5,10),(5,11),(7,8),(8,6),(9,6),(10,7),(11,7),(11,12),(12,8),(12,9)],13)
[[4,4,4,4],[2,1]] => ([(0,4),(0,12),(1,3),(1,11),(2,11),(2,12),(3,8),(4,9),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7),(11,8),(11,10),(12,9),(12,10)],13)
[[5,5,4],[1]] => ([(0,5),(0,12),(1,4),(1,12),(2,3),(2,11),(3,7),(4,8),(5,2),(5,10),(8,9),(9,6),(10,9),(10,11),(11,6),(11,7),(12,8),(12,10)],13)
[[3,3,3,3,3],[1,1]] => ([(0,4),(0,5),(1,2),(1,11),(2,3),(2,12),(3,9),(4,10),(5,10),(5,11),(7,8),(8,6),(9,6),(10,7),(11,7),(11,12),(12,8),(12,9)],13)
[[4,4,3,3],[1]] => ([(0,4),(0,12),(1,5),(1,12),(2,9),(3,7),(4,2),(4,10),(5,3),(5,11),(8,6),(9,6),(10,8),(10,9),(11,7),(11,8),(12,10),(12,11)],13)
[[4,4,4,3],[2]] => ([(0,4),(0,5),(1,3),(1,12),(2,8),(3,9),(4,2),(4,11),(5,11),(5,12),(8,6),(9,7),(10,6),(10,7),(11,8),(11,10),(12,9),(12,10)],13)
[[3,3,3,3,3],[2]] => ([(0,4),(0,5),(1,10),(2,3),(2,12),(3,9),(4,2),(4,11),(5,10),(5,11),(7,8),(8,6),(9,6),(10,7),(11,7),(11,12),(12,8),(12,9)],13)
[[4,4,4,4],[3]] => ([(0,3),(0,4),(1,10),(2,7),(3,2),(3,12),(4,5),(4,12),(5,10),(5,11),(7,8),(8,6),(9,6),(10,9),(11,8),(11,9),(12,7),(12,11)],13)
[[5,5,5,5],[3,2,2]] => ([(0,3),(1,4),(1,12),(2,5),(2,12),(3,10),(4,7),(5,10),(5,11),(7,8),(8,6),(9,6),(10,9),(11,8),(11,9),(12,7),(12,11)],13)
[[5,5,5,5],[3,3,1]] => ([(0,3),(0,4),(1,11),(2,5),(2,11),(3,10),(4,10),(4,12),(5,7),(5,12),(7,8),(8,6),(9,6),(10,9),(11,7),(12,8),(12,9)],13)
[[5,5,5,5],[4,2,1]] => ([(0,10),(1,9),(2,4),(2,12),(3,9),(3,12),(4,10),(4,11),(6,7),(7,5),(8,5),(9,6),(10,8),(11,7),(11,8),(12,6),(12,11)],13)
[[4,4,4,4,4],[3,2,1,1]] => ([(0,10),(1,9),(2,4),(2,12),(3,9),(3,12),(4,10),(4,11),(6,7),(7,5),(8,5),(9,6),(10,8),(11,7),(11,8),(12,6),(12,11)],13)
[[4,4,4,4,4],[3,2,2]] => ([(0,3),(0,4),(1,11),(2,5),(2,11),(3,10),(4,10),(4,12),(5,7),(5,12),(7,8),(8,6),(9,6),(10,9),(11,7),(12,8),(12,9)],13)
[[4,4,4,4,4],[3,3,1]] => ([(0,3),(1,4),(1,12),(2,5),(2,12),(3,10),(4,7),(5,10),(5,11),(7,8),(8,6),(9,6),(10,9),(11,8),(11,9),(12,7),(12,11)],13)
[[5,5,5,5,5],[4,3,3,2]] => ([(0,4),(1,11),(2,5),(2,11),(3,10),(3,12),(4,10),(5,9),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
[[5,5,5,5,5],[4,4,2,2]] => ([(0,5),(0,6),(1,4),(2,3),(3,10),(4,11),(5,10),(5,12),(6,11),(6,12),(8,7),(9,7),(10,8),(11,9),(12,8),(12,9)],13)
[[5,5,5,5,5],[4,4,3,1]] => ([(0,4),(1,11),(2,5),(2,11),(3,10),(3,12),(4,10),(5,9),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
[[5,5,4],[]] => ([(0,5),(0,6),(1,10),(2,3),(2,13),(3,4),(3,12),(4,7),(5,1),(5,11),(6,2),(6,11),(9,8),(10,9),(11,10),(11,13),(12,7),(12,8),(13,9),(13,12)],14)
[[5,4,3,2],[]] => ([(0,6),(0,7),(2,10),(3,5),(3,11),(4,2),(4,12),(5,1),(5,9),(6,3),(6,8),(7,4),(7,8),(8,11),(8,12),(11,9),(11,13),(12,10),(12,13)],14)
[[5,4,3,1,1],[]] => ([(0,7),(0,8),(3,2),(4,6),(4,12),(5,3),(5,11),(6,1),(6,10),(7,4),(7,9),(8,5),(8,9),(9,11),(9,12),(11,13),(12,10),(12,13)],14)
[[5,4,2,2,1],[]] => ([(0,7),(0,8),(3,5),(3,12),(4,6),(4,13),(5,2),(5,10),(6,1),(6,11),(7,3),(7,9),(8,4),(8,9),(9,12),(9,13),(12,10),(13,11)],14)
[[5,3,3,2,1],[]] => ([(0,7),(0,8),(3,2),(4,6),(4,12),(5,3),(5,11),(6,1),(6,10),(7,4),(7,9),(8,5),(8,9),(9,11),(9,12),(11,13),(12,10),(12,13)],14)
[[4,4,4,2],[]] => ([(0,5),(0,6),(1,4),(1,13),(2,3),(2,12),(3,10),(4,7),(5,1),(5,11),(6,2),(6,11),(9,8),(10,8),(11,12),(11,13),(12,9),(12,10),(13,7),(13,9)],14)
[[4,4,3,3],[]] => ([(0,5),(0,6),(1,4),(1,13),(2,3),(2,12),(3,10),(4,7),(5,1),(5,11),(6,2),(6,11),(9,8),(10,8),(11,12),(11,13),(12,9),(12,10),(13,7),(13,9)],14)
[[4,4,3,2,1],[]] => ([(0,6),(0,7),(2,10),(3,5),(3,11),(4,2),(4,12),(5,1),(5,9),(6,3),(6,8),(7,4),(7,8),(8,11),(8,12),(11,9),(11,13),(12,10),(12,13)],14)
[[3,3,3,3,2],[]] => ([(0,5),(0,6),(1,10),(2,3),(2,13),(3,4),(3,12),(4,7),(5,1),(5,11),(6,2),(6,11),(9,8),(10,9),(11,10),(11,13),(12,7),(12,8),(13,9),(13,12)],14)
[[4,4,4,4],[1,1]] => ([(0,4),(0,5),(1,3),(1,13),(2,9),(3,10),(4,2),(4,12),(5,12),(5,13),(7,6),(8,6),(9,7),(10,8),(11,7),(11,8),(12,9),(12,11),(13,10),(13,11)],14)
[[5,5,5],[1]] => ([(0,5),(0,13),(1,4),(1,13),(2,3),(2,12),(3,10),(4,7),(5,2),(5,11),(7,8),(8,9),(9,6),(10,6),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11)],14)
[[4,4,4,3],[1]] => ([(0,5),(0,13),(1,4),(1,13),(2,8),(3,9),(4,2),(4,10),(5,3),(5,11),(8,6),(9,7),(10,8),(10,12),(11,9),(11,12),(12,6),(12,7),(13,10),(13,11)],14)
[[3,3,3,3,3],[1]] => ([(0,5),(0,13),(1,4),(1,13),(2,3),(2,12),(3,10),(4,7),(5,2),(5,11),(7,8),(8,9),(9,6),(10,6),(11,8),(11,12),(12,9),(12,10),(13,7),(13,11)],14)
[[4,4,4,4],[2]] => ([(0,4),(0,5),(1,3),(1,13),(2,9),(3,10),(4,2),(4,12),(5,12),(5,13),(7,6),(8,6),(9,7),(10,8),(11,7),(11,8),(12,9),(12,11),(13,10),(13,11)],14)
[[5,5,5,5],[3,2,1]] => ([(0,10),(1,4),(1,13),(2,12),(2,13),(3,10),(3,12),(4,9),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,6),(12,11),(13,9),(13,11)],14)
[[4,4,4,4,4],[3,2,1]] => ([(0,10),(1,4),(1,13),(2,12),(2,13),(3,10),(3,12),(4,9),(6,7),(7,5),(8,5),(9,8),(10,6),(11,7),(11,8),(12,6),(12,11),(13,9),(13,11)],14)
[[5,5,5,5,5],[4,3,2,2]] => ([(0,4),(1,11),(2,5),(2,13),(3,11),(3,13),(4,10),(5,10),(5,12),(7,8),(8,6),(9,6),(10,9),(11,7),(12,8),(12,9),(13,7),(13,12)],14)
[[5,5,5,5,5],[4,3,3,1]] => ([(0,12),(1,11),(2,4),(2,11),(3,5),(3,12),(4,9),(4,13),(5,10),(5,13),(7,6),(8,6),(9,7),(10,8),(11,9),(12,10),(13,7),(13,8)],14)
[[5,5,5,5,5],[4,4,2,1]] => ([(0,4),(1,11),(2,5),(2,13),(3,11),(3,13),(4,10),(5,10),(5,12),(7,8),(8,6),(9,6),(10,9),(11,7),(12,8),(12,9),(13,7),(13,12)],14)
[[5,5,5],[]] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[[5,5,4,1],[]] => ([(0,6),(0,7),(2,9),(3,2),(3,11),(4,3),(4,12),(5,1),(5,10),(6,4),(6,8),(7,5),(7,8),(8,10),(8,12),(10,13),(11,9),(11,14),(12,11),(12,13),(13,14)],15)
[[5,4,3,2,1],[]] => ([(0,7),(0,8),(3,5),(3,12),(4,6),(4,13),(5,2),(5,10),(6,1),(6,11),(7,3),(7,9),(8,4),(8,9),(9,12),(9,13),(12,10),(12,14),(13,11),(13,14)],15)
[[4,4,4,3],[]] => ([(0,5),(0,6),(1,4),(1,14),(2,3),(2,13),(3,9),(4,10),(5,2),(5,11),(6,1),(6,11),(9,7),(10,8),(11,13),(11,14),(12,7),(12,8),(13,9),(13,12),(14,10),(14,12)],15)
[[3,3,3,3,3],[]] => ([(0,5),(0,6),(1,4),(1,14),(2,11),(3,10),(4,3),(4,12),(5,1),(5,13),(6,2),(6,13),(8,9),(9,7),(10,7),(11,8),(12,9),(12,10),(13,11),(13,14),(14,8),(14,12)],15)
[[4,4,4,4],[1]] => ([(0,5),(0,14),(1,4),(1,14),(2,9),(3,10),(4,2),(4,11),(5,3),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(11,13),(12,10),(12,13),(13,7),(13,8),(14,11),(14,12)],15)
[[5,5,5,1],[1]] => ([(0,6),(0,14),(1,5),(1,14),(3,4),(3,13),(4,11),(5,2),(5,8),(6,3),(6,12),(8,9),(9,10),(10,7),(11,7),(12,9),(12,13),(13,10),(13,11),(14,8),(14,12)],15)
[[5,5,5,5],[4,1]] => ([(0,11),(1,3),(1,14),(2,4),(2,14),(3,10),(4,5),(4,13),(5,11),(5,12),(7,8),(8,6),(9,6),(10,7),(11,9),(12,8),(12,9),(13,7),(13,12),(14,10),(14,13)],15)
[[5,5,5,4],[4]] => ([(0,4),(0,5),(1,10),(2,11),(3,6),(3,14),(4,2),(4,12),(5,3),(5,12),(6,10),(6,13),(9,7),(10,8),(11,9),(12,11),(12,14),(13,7),(13,8),(14,9),(14,13)],15)
[[5,5,5,5,5],[4,3,2,1]] => ([(0,11),(1,10),(2,10),(2,13),(3,11),(3,14),(4,13),(4,14),(6,8),(7,9),(8,5),(9,5),(10,6),(11,7),(12,8),(12,9),(13,6),(13,12),(14,7),(14,12)],15)
[[5,5,5,1],[]] => ([(0,6),(0,7),(2,5),(2,15),(3,1),(3,12),(4,11),(5,4),(5,13),(6,2),(6,14),(7,3),(7,14),(9,10),(10,8),(11,8),(12,9),(13,10),(13,11),(14,12),(14,15),(15,9),(15,13)],16)
[[4,4,4,4],[]] => ([(0,5),(0,6),(1,4),(1,15),(2,3),(2,14),(3,8),(4,9),(5,2),(5,13),(6,1),(6,13),(8,10),(9,11),(10,7),(11,7),(12,10),(12,11),(13,14),(13,15),(14,8),(14,12),(15,9),(15,12)],16)
[[4,4,4,3,1],[]] => ([(0,6),(0,7),(2,5),(2,14),(3,4),(3,15),(4,11),(5,1),(5,10),(6,2),(6,12),(7,3),(7,12),(10,8),(11,9),(12,14),(12,15),(13,8),(13,9),(14,10),(14,13),(15,11),(15,13)],16)
[[3,3,3,3,3,1],[]] => ([(0,6),(0,7),(2,12),(3,4),(3,15),(4,5),(4,13),(5,1),(5,11),(6,2),(6,14),(7,3),(7,14),(9,10),(10,8),(11,8),(12,9),(13,10),(13,11),(14,12),(14,15),(15,9),(15,13)],16)
[[4,4,4,4,1],[1]] => ([(0,5),(0,15),(1,6),(1,15),(3,10),(4,2),(4,11),(5,3),(5,12),(6,4),(6,13),(8,7),(9,7),(10,8),(11,9),(12,10),(12,14),(13,11),(13,14),(14,8),(14,9),(15,12),(15,13)],16)
[[3,3,3,3,3,3],[2]] => ([(0,5),(0,6),(1,11),(2,4),(2,13),(3,12),(4,3),(4,15),(5,2),(5,14),(6,11),(6,14),(8,9),(9,10),(10,7),(11,8),(12,7),(13,9),(13,15),(14,8),(14,13),(15,10),(15,12)],16)
[[4,4,4,4,3],[3]] => ([(0,4),(0,5),(1,11),(2,3),(2,15),(3,10),(4,6),(4,12),(5,2),(5,12),(6,11),(6,14),(9,7),(10,8),(11,9),(12,14),(12,15),(13,7),(13,8),(14,9),(14,13),(15,10),(15,13)],16)
[[4,4,4,4,4],[3,1]] => ([(0,11),(1,4),(1,15),(2,5),(2,15),(3,10),(4,3),(4,12),(5,11),(5,14),(7,8),(8,6),(9,6),(10,9),(11,7),(12,10),(12,13),(13,8),(13,9),(14,7),(14,13),(15,12),(15,14)],16)
[[5,5,5,5],[4]] => ([(0,4),(0,5),(1,11),(2,12),(3,6),(3,15),(4,2),(4,13),(5,3),(5,13),(6,11),(6,14),(8,9),(9,7),(10,7),(11,10),(12,8),(13,12),(13,15),(14,9),(14,10),(15,8),(15,14)],16)
[[4,4,4,4,1],[]] => ([(0,6),(0,7),(2,5),(2,15),(3,4),(3,16),(4,10),(5,1),(5,9),(6,2),(6,14),(7,3),(7,14),(9,11),(10,12),(11,8),(12,8),(13,11),(13,12),(14,15),(14,16),(15,9),(15,13),(16,10),(16,13)],17)
[[4,4,4,4,4],[3]] => ([(0,4),(0,5),(1,12),(2,3),(2,16),(3,9),(4,6),(4,14),(5,2),(5,14),(6,12),(6,15),(8,10),(9,11),(10,7),(11,7),(12,8),(13,10),(13,11),(14,15),(14,16),(15,8),(15,13),(16,9),(16,13)],17)
[[5,5,5,5,4],[4]] => ([(0,5),(0,6),(1,13),(2,4),(2,18),(3,7),(3,19),(4,10),(5,2),(5,14),(6,3),(6,14),(7,13),(7,17),(10,11),(11,8),(12,9),(13,12),(14,18),(14,19),(15,11),(15,16),(16,8),(16,9),(17,12),(17,16),(18,10),(18,15),(19,15),(19,17)],20)
[[5,5,5,5,5],[4,1]] => ([(0,13),(1,4),(1,19),(2,5),(2,19),(3,9),(4,3),(4,17),(5,6),(5,18),(6,13),(6,16),(8,11),(9,10),(10,12),(11,7),(12,7),(13,8),(14,10),(14,15),(15,11),(15,12),(16,8),(16,15),(17,9),(17,14),(18,14),(18,16),(19,17),(19,18)],20)
[[5,5,5,4,1],[]] => ([(0,7),(0,8),(2,5),(2,17),(3,6),(3,15),(4,13),(5,1),(5,12),(6,4),(6,19),(7,2),(7,16),(8,3),(8,16),(11,10),(12,11),(13,9),(14,11),(14,18),(15,14),(15,19),(16,15),(16,17),(17,12),(17,14),(18,9),(18,10),(19,13),(19,18)],20)
[[5,5,5,5,1],[1]] => ([(0,6),(0,19),(1,7),(1,19),(3,5),(3,18),(4,2),(4,13),(5,10),(6,3),(6,15),(7,4),(7,16),(9,11),(10,12),(11,8),(12,8),(13,9),(14,11),(14,12),(15,17),(15,18),(16,13),(16,17),(17,9),(17,14),(18,10),(18,14),(19,15),(19,16)],20)
[[5,5,5,5,5],[4]] => ([(0,5),(0,6),(1,14),(2,4),(2,19),(3,7),(3,20),(4,10),(5,2),(5,16),(6,3),(6,16),(7,14),(7,18),(9,12),(10,11),(11,13),(12,8),(13,8),(14,9),(15,11),(15,17),(16,19),(16,20),(17,12),(17,13),(18,9),(18,17),(19,10),(19,15),(20,15),(20,18)],21)
[[5,5,5,5,1],[]] => ([(0,7),(0,8),(2,5),(2,17),(3,6),(3,16),(4,14),(5,1),(5,13),(6,4),(6,20),(7,2),(7,18),(8,3),(8,18),(10,12),(11,9),(12,9),(13,10),(14,11),(15,10),(15,19),(16,15),(16,20),(17,13),(17,15),(18,16),(18,17),(19,11),(19,12),(20,14),(20,19)],21)
[[4,4,4,4,4,4],[3]] => ([(0,5),(0,6),(1,13),(2,4),(2,18),(3,14),(4,3),(4,20),(5,2),(5,15),(6,7),(6,15),(7,13),(7,19),(9,10),(10,11),(11,8),(12,8),(13,9),(14,12),(15,18),(15,19),(16,11),(16,12),(17,10),(17,16),(18,17),(18,20),(19,9),(19,17),(20,14),(20,16)],21)
[[4,4,4,4,4,1],[]] => ([(0,7),(0,8),(2,4),(2,17),(3,6),(3,16),(4,13),(5,1),(5,14),(6,5),(6,20),(7,2),(7,18),(8,3),(8,18),(10,12),(11,9),(12,9),(13,10),(14,11),(15,10),(15,19),(16,15),(16,20),(17,13),(17,15),(18,16),(18,17),(19,11),(19,12),(20,14),(20,19)],21)
[[6,6,6,6,6],[5]] => ([(0,6),(0,7),(1,16),(2,5),(2,23),(3,4),(3,24),(4,11),(5,8),(5,20),(6,2),(6,21),(7,3),(7,21),(8,16),(8,22),(10,15),(11,12),(12,13),(13,14),(14,9),(15,9),(16,10),(17,13),(17,18),(18,14),(18,15),(19,12),(19,17),(20,17),(20,22),(21,23),(21,24),(22,10),(22,18),(23,19),(23,20),(24,11),(24,19)],25)
[[6,6,6,6,1],[]] => ([(0,8),(0,9),(2,7),(2,20),(3,5),(3,19),(4,15),(5,1),(5,16),(6,4),(6,24),(7,6),(7,23),(8,2),(8,21),(9,3),(9,21),(11,12),(12,13),(13,10),(14,10),(15,14),(16,11),(17,13),(17,14),(18,12),(18,17),(19,16),(19,22),(20,22),(20,23),(21,19),(21,20),(22,11),(22,18),(23,18),(23,24),(24,15),(24,17)],25)
[[5,5,5,5,5,5],[4]] => ([(0,6),(0,7),(1,16),(2,4),(2,24),(3,8),(3,25),(4,5),(4,22),(5,10),(6,2),(6,21),(7,3),(7,21),(8,16),(8,23),(10,12),(11,13),(12,14),(13,15),(14,9),(15,9),(16,11),(17,12),(17,18),(18,14),(18,15),(19,13),(19,18),(20,17),(20,19),(21,24),(21,25),(22,10),(22,17),(23,11),(23,19),(24,20),(24,22),(25,20),(25,23)],26)
[[5,5,5,5,5,1],[]] => ([(0,8),(0,9),(2,6),(2,19),(3,7),(3,20),(4,15),(5,1),(5,16),(6,4),(6,24),(7,5),(7,25),(8,2),(8,21),(9,3),(9,21),(11,13),(12,14),(13,10),(14,10),(15,11),(16,12),(17,22),(17,23),(18,13),(18,14),(19,17),(19,24),(20,17),(20,25),(21,19),(21,20),(22,11),(22,18),(23,12),(23,18),(24,15),(24,22),(25,16),(25,23)],26)
[[6,6,6,6,6,6],[5]] => ([(0,7),(0,8),(1,17),(2,5),(2,25),(3,6),(3,24),(4,18),(5,9),(5,29),(6,4),(6,30),(7,2),(7,26),(8,3),(8,26),(9,17),(9,28),(11,13),(12,14),(13,15),(14,16),(15,10),(16,10),(17,11),(18,12),(19,23),(19,27),(20,14),(20,21),(21,15),(21,16),(22,13),(22,21),(23,20),(23,22),(24,19),(24,30),(25,19),(25,29),(26,24),(26,25),(27,12),(27,20),(28,11),(28,22),(29,23),(29,28),(30,18),(30,27)],31)
[[6,6,6,6,6,1],[]] => ([(0,9),(0,10),(2,8),(2,24),(3,7),(3,23),(4,18),(5,1),(5,17),(6,4),(6,30),(7,6),(7,28),(8,5),(8,29),(9,2),(9,25),(10,3),(10,25),(12,16),(13,14),(14,15),(15,11),(16,11),(17,13),(18,12),(19,21),(19,27),(20,19),(20,26),(21,14),(21,22),(22,15),(22,16),(23,20),(23,28),(24,20),(24,29),(25,23),(25,24),(26,13),(26,21),(27,12),(27,22),(28,19),(28,30),(29,17),(29,26),(30,18),(30,27)],31)
Identities
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Intertwining relations
Mp00125dual poset ∘ Mp00185cell poset = Mp00185cell poset ∘ Mp00189rotate : Skew partitions ⟶ Posets
Absorbing relations
Mp00185cell poset ∘ Mp00187conjugate = Mp00185cell poset : Skew partitions ⟶ Posets
Mp00185cell poset ∘ Mp00189rotate ∘ Mp00187conjugate = Mp00185cell poset ∘ Mp00189rotate : Skew partitions ⟶ Posets
Mp00185cell poset ∘ Mp00179to skew partition ∘ Mp00044conjugate = Mp00185cell poset ∘ Mp00179to skew partition : Integer partitions ⟶ Posets
Mp00185cell poset ∘ Mp00180to ribbon ∘ Mp00041conjugate = Mp00185cell poset ∘ Mp00180to ribbon : Integer compositions ⟶ Posets
Mp00110Greene-Kleitman invariant ∘ Mp00185cell poset ∘ Mp00189rotate = Mp00110Greene-Kleitman invariant ∘ Mp00185cell poset : Skew partitions ⟶ Integer partitions
Mp00198incomparability graph ∘ Mp00185cell poset ∘ Mp00189rotate = Mp00198incomparability graph ∘ Mp00185cell poset : Skew partitions ⟶ Graphs
Mp00074to graph ∘ Mp00185cell poset ∘ Mp00189rotate = Mp00074to graph ∘ Mp00185cell poset : Skew partitions ⟶ Graphs
Mp00307promotion cycle type ∘ Mp00185cell poset ∘ Mp00189rotate = Mp00307promotion cycle type ∘ Mp00185cell poset : Skew partitions ⟶ Integer partitions
Mp00306rowmotion cycle type ∘ Mp00185cell poset ∘ Mp00189rotate = Mp00306rowmotion cycle type ∘ Mp00185cell poset : Skew partitions ⟶ Integer partitions
Constant maps
Mp00074to graph ∘ Mp00185cell poset ∘ Mp00180to ribbon = const : Integer compositions ⟶ Graphs
Other relations
Mp00185cell poset ∘ Mp00180to ribbon ∘ Mp00039complement = Mp00185cell poset ∘ Mp00180to ribbon ∘ Mp00038reverse : Integer compositions ⟶ Posets
Mp00074to graph ∘ Mp00185cell poset ∘ Mp00233skew partition = Mp00074to graph ∘ Mp00232parallelogram poset : Dyck paths ⟶ Graphs
Description
The Young diagram of a skew partition regarded as a poset.
This is the poset on the cells of the Young diagram, such that a cell $d$ is greater than a cell $c$ if the entry in $d$ must be larger than the entry of $c$ in any standard Young tableau on the skew partition.
This is the poset on the cells of the Young diagram, such that a cell $d$ is greater than a cell $c$ if the entry in $d$ must be larger than the entry of $c$ in any standard Young tableau on the skew partition.
Properties
graded
Sage code
def mapping(la):
return la.cell_poset()
Weight
26
Created
Sep 24, 2020 at 20:09 by Martin Rubey
Updated
Sep 24, 2020 at 20:09 by Martin Rubey
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