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------------------------------------------------------------------------
Map identifier: Mp00185
------------------------------------------------------------------------
Map name: cell poset
------------------------------------------------------------------------
Domain: Skew partitions
------------------------------------------------------------------------
Codomain: Posets
------------------------------------------------------------------------
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.
------------------------------------------------------------------------
References:
------------------------------------------------------------------------
Code:
def mapping(la):
return la.cell_poset()
------------------------------------------------------------------------
Map images:
[[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)
[[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)
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Created: Sep 24, 2020 at 20:09 by Martin Rubey
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Last Updated: Sep 24, 2020 at 20:09 by Martin Rubey