- FindStat

Identifier

Mp00185: Skew partitions —cell poset⟶ Posets
Mp00125: Posets —dual poset⟶ Posets

Images

[[1],[]] => ([],1) => ([],1)

[[2],[]] => ([(0,1)],2) => ([(0,1)],2)

[[1,1],[]] => ([(0,1)],2) => ([(0,1)],2)

[[2,1],[1]] => ([],2) => ([],2)

[[3],[]] => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)

[[2,1],[]] => ([(0,1),(0,2)],3) => ([(0,2),(1,2)],3)

[[3,1],[1]] => ([(1,2)],3) => ([(1,2)],3)

[[2,2],[1]] => ([(0,2),(1,2)],3) => ([(0,1),(0,2)],3)

[[3,2],[2]] => ([(1,2)],3) => ([(1,2)],3)

[[1,1,1],[]] => ([(0,2),(2,1)],3) => ([(0,2),(2,1)],3)

[[2,2,1],[1,1]] => ([(1,2)],3) => ([(1,2)],3)

[[2,1,1],[1]] => ([(1,2)],3) => ([(1,2)],3)

[[3,2,1],[2,1]] => ([],3) => ([],3)

[[4],[]] => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)

[[3,1],[]] => ([(0,2),(0,3),(3,1)],4) => ([(0,3),(1,2),(2,3)],4)

[[4,1],[1]] => ([(1,2),(2,3)],4) => ([(1,2),(2,3)],4)

[[2,2],[]] => ([(0,1),(0,2),(1,3),(2,3)],4) => ([(0,1),(0,2),(1,3),(2,3)],4)

[[3,2],[1]] => ([(0,3),(1,2),(1,3)],4) => ([(0,3),(1,2),(1,3)],4)

[[4,2],[2]] => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)

[[2,1,1],[]] => ([(0,2),(0,3),(3,1)],4) => ([(0,3),(1,2),(2,3)],4)

[[3,2,1],[1,1]] => ([(1,2),(1,3)],4) => ([(1,3),(2,3)],4)

[[3,1,1],[1]] => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)

[[4,2,1],[2,1]] => ([(2,3)],4) => ([(2,3)],4)

[[3,3],[2]] => ([(0,3),(1,2),(2,3)],4) => ([(0,2),(0,3),(3,1)],4)

[[4,3],[3]] => ([(1,2),(2,3)],4) => ([(1,2),(2,3)],4)

[[2,2,1],[1]] => ([(0,3),(1,2),(1,3)],4) => ([(0,3),(1,2),(1,3)],4)

[[3,3,1],[2,1]] => ([(1,3),(2,3)],4) => ([(1,2),(1,3)],4)

[[3,2,1],[2]] => ([(1,2),(1,3)],4) => ([(1,3),(2,3)],4)

[[4,3,1],[3,1]] => ([(2,3)],4) => ([(2,3)],4)

[[2,2,2],[1,1]] => ([(0,3),(1,2),(2,3)],4) => ([(0,2),(0,3),(3,1)],4)

[[3,3,2],[2,2]] => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)

[[3,2,2],[2,1]] => ([(1,3),(2,3)],4) => ([(1,2),(1,3)],4)

[[4,3,2],[3,2]] => ([(2,3)],4) => ([(2,3)],4)

[[1,1,1,1],[]] => ([(0,3),(2,1),(3,2)],4) => ([(0,3),(2,1),(3,2)],4)

[[2,2,2,1],[1,1,1]] => ([(1,2),(2,3)],4) => ([(1,2),(2,3)],4)

[[2,2,1,1],[1,1]] => ([(0,3),(1,2)],4) => ([(0,3),(1,2)],4)

[[3,3,2,1],[2,2,1]] => ([(2,3)],4) => ([(2,3)],4)

[[2,1,1,1],[1]] => ([(1,2),(2,3)],4) => ([(1,2),(2,3)],4)

[[3,2,2,1],[2,1,1]] => ([(2,3)],4) => ([(2,3)],4)

[[3,2,1,1],[2,1]] => ([(2,3)],4) => ([(2,3)],4)

[[4,3,2,1],[3,2,1]] => ([],4) => ([],4)

[[5],[]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(0,4),(2,3),(3,1),(4,2)],5)

[[4,1],[]] => ([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,4),(1,2),(2,3),(3,4)],5)

[[5,1],[1]] => ([(1,4),(3,2),(4,3)],5) => ([(1,4),(3,2),(4,3)],5)

[[3,2],[]] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)

[[4,2],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(1,2),(1,4),(3,4)],5)

[[5,2],[2]] => ([(0,3),(1,4),(4,2)],5) => ([(0,3),(1,4),(4,2)],5)

[[3,1,1],[]] => ([(0,3),(0,4),(3,2),(4,1)],5) => ([(0,3),(1,2),(2,4),(3,4)],5)

[[4,2,1],[1,1]] => ([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5)

[[4,1,1],[1]] => ([(0,3),(1,4),(4,2)],5) => ([(0,3),(1,4),(4,2)],5)

[[5,2,1],[2,1]] => ([(2,3),(3,4)],5) => ([(2,3),(3,4)],5)

[[3,3],[1]] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)

[[4,3],[2]] => ([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,4),(1,2),(1,4),(2,3)],5)

[[5,3],[3]] => ([(0,3),(1,4),(4,2)],5) => ([(0,3),(1,4),(4,2)],5)

[[2,2,1],[]] => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)

[[3,3,1],[1,1]] => ([(1,2),(1,3),(2,4),(3,4)],5) => ([(1,2),(1,3),(2,4),(3,4)],5)

[[3,2,1],[1]] => ([(0,3),(0,4),(1,2),(1,4)],5) => ([(0,4),(1,3),(2,3),(2,4)],5)

[[4,3,1],[2,1]] => ([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(2,4)],5)

[[4,2,1],[2]] => ([(0,4),(1,2),(1,3)],5) => ([(0,4),(1,4),(2,3)],5)

[[5,3,1],[3,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[3,2,2],[1,1]] => ([(0,4),(1,2),(1,3),(3,4)],5) => ([(0,4),(1,2),(1,3),(3,4)],5)

[[4,3,2],[2,2]] => ([(0,4),(1,2),(1,3)],5) => ([(0,4),(1,4),(2,3)],5)

[[4,2,2],[2,1]] => ([(0,4),(1,4),(2,3)],5) => ([(0,4),(1,2),(1,3)],5)

[[5,3,2],[3,2]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[2,1,1,1],[]] => ([(0,2),(0,4),(3,1),(4,3)],5) => ([(0,4),(1,2),(2,3),(3,4)],5)

[[3,2,2,1],[1,1,1]] => ([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5)

[[3,2,1,1],[1,1]] => ([(0,4),(1,2),(1,3)],5) => ([(0,4),(1,4),(2,3)],5)

[[4,3,2,1],[2,2,1]] => ([(2,3),(2,4)],5) => ([(2,4),(3,4)],5)

[[3,1,1,1],[1]] => ([(0,3),(1,4),(4,2)],5) => ([(0,3),(1,4),(4,2)],5)

[[4,2,2,1],[2,1,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[4,2,1,1],[2,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[5,3,2,1],[3,2,1]] => ([(3,4)],5) => ([(3,4)],5)

[[4,4],[3]] => ([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,2),(0,4),(3,1),(4,3)],5)

[[5,4],[4]] => ([(1,4),(3,2),(4,3)],5) => ([(1,4),(3,2),(4,3)],5)

[[3,3,1],[2]] => ([(0,4),(1,2),(1,3),(3,4)],5) => ([(0,4),(1,2),(1,3),(3,4)],5)

[[4,4,1],[3,1]] => ([(1,4),(2,3),(3,4)],5) => ([(1,3),(1,4),(4,2)],5)

[[4,3,1],[3]] => ([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5)

[[5,4,1],[4,1]] => ([(2,3),(3,4)],5) => ([(2,3),(3,4)],5)

[[2,2,2],[1]] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)

[[3,3,2],[2,1]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([(0,3),(0,4),(1,2),(1,4)],5)

[[4,4,2],[3,2]] => ([(0,4),(1,4),(2,3)],5) => ([(0,4),(1,2),(1,3)],5)

[[3,2,2],[2]] => ([(1,2),(1,3),(2,4),(3,4)],5) => ([(1,2),(1,3),(2,4),(3,4)],5)

[[4,3,2],[3,1]] => ([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(2,4)],5)

[[5,4,2],[4,2]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[2,2,1,1],[1]] => ([(0,4),(1,2),(1,4),(2,3)],5) => ([(0,3),(1,2),(1,4),(3,4)],5)

[[3,3,2,1],[2,1,1]] => ([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(2,4)],5)

[[3,3,1,1],[2,1]] => ([(0,4),(1,4),(2,3)],5) => ([(0,4),(1,2),(1,3)],5)

[[4,4,2,1],[3,2,1]] => ([(2,4),(3,4)],5) => ([(2,3),(2,4)],5)

[[3,2,1,1],[2]] => ([(1,3),(1,4),(4,2)],5) => ([(1,4),(2,3),(3,4)],5)

[[4,3,2,1],[3,1,1]] => ([(2,3),(2,4)],5) => ([(2,4),(3,4)],5)

[[4,3,1,1],[3,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[5,4,2,1],[4,2,1]] => ([(3,4)],5) => ([(3,4)],5)

[[3,3,3],[2,2]] => ([(0,3),(1,2),(2,4),(3,4)],5) => ([(0,3),(0,4),(3,2),(4,1)],5)

[[4,4,3],[3,3]] => ([(0,3),(1,4),(4,2)],5) => ([(0,3),(1,4),(4,2)],5)

[[4,3,3],[3,2]] => ([(1,4),(2,3),(3,4)],5) => ([(1,3),(1,4),(4,2)],5)

[[5,4,3],[4,3]] => ([(2,3),(3,4)],5) => ([(2,3),(3,4)],5)

[[2,2,2,1],[1,1]] => ([(0,3),(1,2),(1,4),(3,4)],5) => ([(0,4),(1,2),(1,4),(2,3)],5)

[[3,3,3,1],[2,2,1]] => ([(1,4),(2,3),(3,4)],5) => ([(1,3),(1,4),(4,2)],5)

[[3,3,2,1],[2,2]] => ([(0,4),(1,2),(1,3)],5) => ([(0,4),(1,4),(2,3)],5)

[[4,4,3,1],[3,3,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[3,2,2,1],[2,1]] => ([(1,4),(2,3),(2,4)],5) => ([(1,4),(2,3),(2,4)],5)

>>> Load all 1319 entries. <<<

[[4,3,3,1],[3,2,1]] => ([(2,4),(3,4)],5) => ([(2,3),(2,4)],5)

[[4,3,2,1],[3,2]] => ([(2,3),(2,4)],5) => ([(2,4),(3,4)],5)

[[5,4,3,1],[4,3,1]] => ([(3,4)],5) => ([(3,4)],5)

[[2,2,2,2],[1,1,1]] => ([(0,4),(1,2),(2,3),(3,4)],5) => ([(0,2),(0,4),(3,1),(4,3)],5)

[[3,3,3,2],[2,2,2]] => ([(0,3),(1,4),(4,2)],5) => ([(0,3),(1,4),(4,2)],5)

[[3,3,2,2],[2,2,1]] => ([(0,4),(1,4),(2,3)],5) => ([(0,4),(1,2),(1,3)],5)

[[4,4,3,2],[3,3,2]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[3,2,2,2],[2,1,1]] => ([(1,4),(2,3),(3,4)],5) => ([(1,3),(1,4),(4,2)],5)

[[4,3,3,2],[3,2,2]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[4,3,2,2],[3,2,1]] => ([(2,4),(3,4)],5) => ([(2,3),(2,4)],5)

[[5,4,3,2],[4,3,2]] => ([(3,4)],5) => ([(3,4)],5)

[[1,1,1,1,1],[]] => ([(0,4),(2,3),(3,1),(4,2)],5) => ([(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) => ([(1,4),(3,2),(4,3)],5)

[[2,2,2,1,1],[1,1,1]] => ([(0,3),(1,4),(4,2)],5) => ([(0,3),(1,4),(4,2)],5)

[[3,3,3,2,1],[2,2,2,1]] => ([(2,3),(3,4)],5) => ([(2,3),(3,4)],5)

[[2,2,1,1,1],[1,1]] => ([(0,3),(1,4),(4,2)],5) => ([(0,3),(1,4),(4,2)],5)

[[3,3,2,2,1],[2,2,1,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[3,3,2,1,1],[2,2,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[4,4,3,2,1],[3,3,2,1]] => ([(3,4)],5) => ([(3,4)],5)

[[2,1,1,1,1],[1]] => ([(1,4),(3,2),(4,3)],5) => ([(1,4),(3,2),(4,3)],5)

[[3,2,2,2,1],[2,1,1,1]] => ([(2,3),(3,4)],5) => ([(2,3),(3,4)],5)

[[3,2,2,1,1],[2,1,1]] => ([(1,4),(2,3)],5) => ([(1,4),(2,3)],5)

[[4,3,3,2,1],[3,2,2,1]] => ([(3,4)],5) => ([(3,4)],5)

[[3,2,1,1,1],[2,1]] => ([(2,3),(3,4)],5) => ([(2,3),(3,4)],5)

[[4,3,2,2,1],[3,2,1,1]] => ([(3,4)],5) => ([(3,4)],5)

[[4,3,2,1,1],[3,2,1]] => ([(3,4)],5) => ([(3,4)],5)

[[5,4,3,2,1],[4,3,2,1]] => ([],5) => ([],5)

[[6],[]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],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) => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)

[[6,1],[1]] => ([(1,5),(3,4),(4,2),(5,3)],6) => ([(1,5),(3,4),(4,2),(5,3)],6)

[[4,2],[]] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)

[[5,2],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)

[[6,2],[2]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,5),(1,3),(4,2),(5,4)],6)

[[4,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)

[[5,2,1],[1,1]] => ([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,3),(3,4),(4,5)],6)

[[5,1,1],[1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,5),(1,3),(4,2),(5,4)],6)

[[6,2,1],[2,1]] => ([(2,3),(3,5),(5,4)],6) => ([(2,3),(3,5),(5,4)],6)

[[3,3],[]] => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => ([(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) => ([(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) => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)

[[6,3],[3]] => ([(0,5),(1,4),(4,2),(5,3)],6) => ([(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) => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)

[[4,3,1],[1,1]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)

[[4,2,1],[1]] => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6) => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)

[[5,3,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(2,3),(2,5),(4,5)],6)

[[5,2,1],[2]] => ([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4)],6)

[[6,3,1],[3,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[4,2,2],[1,1]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)

[[5,3,2],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,5),(1,3),(2,4),(4,5)],6)

[[5,2,2],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,5),(1,3),(1,4),(5,2)],6)

[[6,3,2],[3,2]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[3,1,1,1],[]] => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)

[[4,2,2,1],[1,1,1]] => ([(1,4),(1,5),(4,3),(5,2)],6) => ([(1,4),(2,3),(3,5),(4,5)],6)

[[4,2,1,1],[1,1]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,5),(1,3),(2,4),(4,5)],6)

[[5,3,2,1],[2,2,1]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6)

[[4,1,1,1],[1]] => ([(0,5),(1,4),(4,2),(5,3)],6) => ([(0,5),(1,4),(4,2),(5,3)],6)

[[5,2,2,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[5,2,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[6,3,2,1],[3,2,1]] => ([(3,4),(4,5)],6) => ([(3,4),(4,5)],6)

[[4,4],[2]] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)

[[5,4],[3]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)

[[6,4],[4]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(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) => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)

[[4,4,1],[2,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)

[[4,3,1],[2]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)

[[5,4,1],[3,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => ([(1,5),(2,3),(2,5),(3,4)],6)

[[5,3,1],[3]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,5),(1,3),(2,4),(4,5)],6)

[[6,4,1],[4,1]] => ([(1,3),(2,4),(4,5)],6) => ([(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) => ([(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) => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)

[[4,4,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(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) => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)

[[4,3,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(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) => ([(0,5),(1,3),(2,4),(2,5)],6)

[[4,2,2],[2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(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) => ([(0,5),(1,3),(2,4),(2,5)],6)

[[6,4,2],[4,2]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)

[[2,2,1,1],[]] => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)

[[3,3,2,1],[1,1,1]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)

[[3,3,1,1],[1,1]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(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) => ([(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) => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)

[[4,3,2,1],[2,1,1]] => ([(1,4),(1,5),(2,3),(2,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)

[[4,3,1,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,5),(1,3),(2,4),(2,5)],6)

[[5,4,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(3,5)],6)

[[4,2,1,1],[2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,5),(1,3),(2,4),(4,5)],6)

[[5,3,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[5,3,1,1],[3,1]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)

[[6,4,2,1],[4,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[4,3,3],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)

[[5,4,3],[3,3]] => ([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4)],6)

[[5,3,3],[3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,4),(1,3),(1,5),(5,2)],6)

[[6,4,3],[4,3]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[3,2,2,1],[1,1]] => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6) => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)

[[4,3,3,1],[2,2,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,3),(2,4),(4,5)],6)

[[4,3,2,1],[2,2]] => ([(0,4),(0,5),(1,2),(1,3)],6) => ([(0,5),(1,5),(2,4),(3,4)],6)

[[5,4,3,1],[3,3,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[4,2,2,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(0,5),(1,3),(2,4),(2,5)],6)

[[5,3,3,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[5,3,2,1],[3,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[6,4,3,1],[4,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[3,2,2,2],[1,1,1]] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(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) => ([(0,5),(1,3),(2,4),(4,5)],6)

[[4,3,2,2],[2,2,1]] => ([(0,5),(1,5),(2,3),(2,4)],6) => ([(0,5),(1,5),(2,3),(2,4)],6)

[[5,4,3,2],[3,3,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[4,2,2,2],[2,1,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,4),(1,3),(1,5),(5,2)],6)

[[5,3,3,2],[3,2,2]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)

[[5,3,2,2],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[6,4,3,2],[4,3,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[2,1,1,1,1],[]] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)

[[3,2,2,2,1],[1,1,1,1]] => ([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,3),(3,4),(4,5)],6)

[[3,2,2,1,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,5),(1,3),(2,4),(4,5)],6)

[[4,3,3,2,1],[2,2,2,1]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6)

[[3,2,1,1,1],[1,1]] => ([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4)],6)

[[4,3,2,2,1],[2,2,1,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[4,3,2,1,1],[2,2,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[5,4,3,2,1],[3,3,2,1]] => ([(3,4),(3,5)],6) => ([(3,5),(4,5)],6)

[[3,1,1,1,1],[1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(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) => ([(1,3),(2,4),(4,5)],6)

[[4,2,2,1,1],[2,1,1]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)

[[5,3,3,2,1],[3,2,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[4,2,1,1,1],[2,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[5,3,2,2,1],[3,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[5,3,2,1,1],[3,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[6,4,3,2,1],[4,3,2,1]] => ([(4,5)],6) => ([(4,5)],6)

[[5,5],[4]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)

[[6,5],[5]] => ([(1,5),(3,4),(4,2),(5,3)],6) => ([(1,5),(3,4),(4,2),(5,3)],6)

[[4,4,1],[3]] => ([(0,5),(1,2),(1,4),(3,5),(4,3)],6) => ([(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) => ([(1,3),(1,5),(4,2),(5,4)],6)

[[5,4,1],[4]] => ([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,3),(3,4),(4,5)],6)

[[6,5,1],[5,1]] => ([(2,3),(3,5),(5,4)],6) => ([(2,3),(3,5),(5,4)],6)

[[3,3,2],[2]] => ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6) => ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)

[[4,4,2],[3,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)

[[5,5,2],[4,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,4),(1,3),(1,5),(5,2)],6)

[[4,3,2],[3]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)

[[5,4,2],[4,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(2,3),(2,5),(4,5)],6)

[[6,5,2],[5,2]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[3,3,1,1],[2]] => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6) => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)

[[4,4,2,1],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,3),(2,4),(4,5)],6)

[[4,4,1,1],[3,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,4),(1,3),(1,5),(5,2)],6)

[[5,5,2,1],[4,2,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,3),(2,4),(4,5)],6)

[[4,3,1,1],[3]] => ([(1,4),(1,5),(4,3),(5,2)],6) => ([(1,4),(2,3),(3,5),(4,5)],6)

[[5,4,2,1],[4,1,1]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6)

[[5,4,1,1],[4,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[6,5,2,1],[5,2,1]] => ([(3,4),(4,5)],6) => ([(3,4),(4,5)],6)

[[3,3,3],[2,1]] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)

[[4,4,3],[3,2]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)

[[5,5,3],[4,3]] => ([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,5),(1,3),(1,4),(5,2)],6)

[[4,3,3],[3,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)

[[5,4,3],[4,2]] => ([(1,4),(2,3),(2,5),(4,5)],6) => ([(1,5),(2,3),(2,5),(3,4)],6)

[[6,5,3],[5,3]] => ([(1,3),(2,4),(4,5)],6) => ([(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) => ([(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) => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)

[[3,3,2,1],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5)],6) => ([(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) => ([(1,4),(1,5),(2,3),(2,5)],6)

[[4,4,2,1],[3,2]] => ([(0,5),(1,5),(2,3),(2,4)],6) => ([(0,5),(1,5),(2,3),(2,4)],6)

[[5,5,3,1],[4,3,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[3,2,2,1],[2]] => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6) => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)

[[4,3,3,1],[3,1,1]] => ([(2,3),(2,4),(3,5),(4,5)],6) => ([(2,3),(2,4),(3,5),(4,5)],6)

[[4,3,2,1],[3,1]] => ([(1,4),(1,5),(2,3),(2,5)],6) => ([(1,5),(2,4),(3,4),(3,5)],6)

[[5,4,3,1],[4,2,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(3,5)],6)

[[5,4,2,1],[4,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[6,5,3,1],[5,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[3,3,2,2],[2,1,1]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)

[[4,4,3,2],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(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) => ([(0,4),(0,5),(1,2),(1,3)],6)

[[5,5,3,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[4,3,2,2],[3,1,1]] => ([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,3),(2,4),(4,5)],6)

[[5,4,3,2],[4,2,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[5,4,2,2],[4,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[6,5,3,2],[5,3,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[2,2,1,1,1],[1]] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6) => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)

[[3,3,2,2,1],[2,1,1,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(2,3),(2,5),(4,5)],6)

[[3,3,2,1,1],[2,1,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(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) => ([(2,5),(3,4),(3,5)],6)

[[3,3,1,1,1],[2,1]] => ([(0,5),(1,5),(2,3),(3,4)],6) => ([(0,5),(1,3),(1,4),(5,2)],6)

[[4,4,2,2,1],[3,2,1,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[4,4,2,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[5,5,3,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => ([(3,4),(3,5)],6)

[[3,2,1,1,1],[2]] => ([(1,3),(1,5),(4,2),(5,4)],6) => ([(1,5),(2,3),(3,4),(4,5)],6)

[[4,3,2,2,1],[3,1,1,1]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6)

[[4,3,2,1,1],[3,1,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[5,4,3,2,1],[4,2,2,1]] => ([(3,4),(3,5)],6) => ([(3,5),(4,5)],6)

[[4,3,1,1,1],[3,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[5,4,2,2,1],[4,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[5,4,2,1,1],[4,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[6,5,3,2,1],[5,3,2,1]] => ([(4,5)],6) => ([(4,5)],6)

[[4,4,4],[3,3]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)

[[5,5,4],[4,4]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(0,5),(1,3),(4,2),(5,4)],6)

[[5,4,4],[4,3]] => ([(1,5),(2,3),(3,4),(4,5)],6) => ([(1,3),(1,5),(4,2),(5,4)],6)

[[6,5,4],[5,4]] => ([(2,3),(3,5),(5,4)],6) => ([(2,3),(3,5),(5,4)],6)

[[3,3,3,1],[2,2]] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6) => ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)

[[4,4,4,1],[3,3,1]] => ([(1,4),(2,3),(3,5),(4,5)],6) => ([(1,4),(1,5),(4,3),(5,2)],6)

[[4,4,3,1],[3,3]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,5),(1,3),(2,4),(4,5)],6)

[[5,5,4,1],[4,4,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[4,3,3,1],[3,2]] => ([(1,5),(2,3),(2,4),(4,5)],6) => ([(1,5),(2,3),(2,4),(4,5)],6)

[[5,4,4,1],[4,3,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,3),(2,4),(4,5)],6)

[[5,4,3,1],[4,3]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6)

[[6,5,4,1],[5,4,1]] => ([(3,4),(4,5)],6) => ([(3,4),(4,5)],6)

[[2,2,2,2],[1,1]] => ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)

[[3,3,3,2],[2,2,1]] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6) => ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)

[[4,4,4,2],[3,3,2]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,4),(1,3),(1,5),(5,2)],6)

[[3,3,2,2],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6) => ([(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) => ([(0,5),(1,3),(2,4),(2,5)],6)

[[5,5,4,2],[4,4,2]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)

[[3,2,2,2],[2,1]] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6) => ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)

[[4,3,3,2],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5)],6) => ([(1,4),(1,5),(2,3),(2,5)],6)

[[5,4,4,2],[4,3,2]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[4,3,2,2],[3,2]] => ([(2,3),(2,4),(3,5),(4,5)],6) => ([(2,3),(2,4),(3,5),(4,5)],6)

[[5,4,3,2],[4,3,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(3,5)],6)

[[6,5,4,2],[5,4,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[2,2,2,1,1],[1,1]] => ([(0,3),(1,4),(1,5),(3,5),(4,2)],6) => ([(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) => ([(1,5),(2,3),(2,5),(3,4)],6)

[[3,3,3,1,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(4,5)],6) => ([(0,4),(1,3),(1,5),(5,2)],6)

[[4,4,4,2,1],[3,3,2,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,3),(2,4),(4,5)],6)

[[3,3,2,1,1],[2,2]] => ([(0,4),(1,3),(1,5),(5,2)],6) => ([(0,5),(1,3),(2,4),(4,5)],6)

[[4,4,3,2,1],[3,3,1,1]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[4,4,3,1,1],[3,3,1]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)

[[5,5,4,2,1],[4,4,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[3,2,2,1,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4)],6) => ([(1,4),(2,3),(2,5),(4,5)],6)

[[4,3,3,2,1],[3,2,1,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(3,5)],6)

[[4,3,3,1,1],[3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[5,4,4,2,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => ([(3,4),(3,5)],6)

[[4,3,2,1,1],[3,2]] => ([(2,3),(2,4),(4,5)],6) => ([(2,5),(3,4),(4,5)],6)

[[5,4,3,2,1],[4,3,1,1]] => ([(3,4),(3,5)],6) => ([(3,5),(4,5)],6)

[[5,4,3,1,1],[4,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[6,5,4,2,1],[5,4,2,1]] => ([(4,5)],6) => ([(4,5)],6)

[[3,3,3,3],[2,2,2]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)

[[4,4,4,3],[3,3,3]] => ([(0,5),(1,4),(4,2),(5,3)],6) => ([(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) => ([(0,4),(1,3),(1,5),(5,2)],6)

[[5,5,4,3],[4,4,3]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[4,3,3,3],[3,2,2]] => ([(1,4),(2,3),(3,5),(4,5)],6) => ([(1,4),(1,5),(4,3),(5,2)],6)

[[5,4,4,3],[4,3,3]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[5,4,3,3],[4,3,2]] => ([(2,5),(3,4),(4,5)],6) => ([(2,3),(2,4),(4,5)],6)

[[6,5,4,3],[5,4,3]] => ([(3,4),(4,5)],6) => ([(3,4),(4,5)],6)

[[2,2,2,2,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6) => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)

[[3,3,3,3,1],[2,2,2,1]] => ([(1,5),(2,3),(3,4),(4,5)],6) => ([(1,3),(1,5),(4,2),(5,4)],6)

[[3,3,3,2,1],[2,2,2]] => ([(0,5),(1,3),(1,4),(5,2)],6) => ([(0,5),(1,5),(2,3),(3,4)],6)

[[4,4,4,3,1],[3,3,3,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[3,3,2,2,1],[2,2,1]] => ([(0,5),(1,3),(2,4),(2,5)],6) => ([(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) => ([(1,5),(2,3),(2,4)],6)

[[4,4,3,2,1],[3,3,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[5,5,4,3,1],[4,4,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[3,2,2,2,1],[2,1,1]] => ([(1,4),(2,3),(2,5),(4,5)],6) => ([(1,5),(2,3),(2,5),(3,4)],6)

[[4,3,3,3,1],[3,2,2,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,3),(2,4),(4,5)],6)

[[4,3,3,2,1],[3,2,2]] => ([(1,5),(2,3),(2,4)],6) => ([(1,5),(2,5),(3,4)],6)

[[5,4,4,3,1],[4,3,3,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[4,3,2,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5)],6) => ([(2,5),(3,4),(3,5)],6)

[[5,4,3,3,1],[4,3,2,1]] => ([(3,5),(4,5)],6) => ([(3,4),(3,5)],6)

[[5,4,3,2,1],[4,3,2]] => ([(3,4),(3,5)],6) => ([(3,5),(4,5)],6)

[[6,5,4,3,1],[5,4,3,1]] => ([(4,5)],6) => ([(4,5)],6)

[[2,2,2,2,2],[1,1,1,1]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)

[[3,3,3,3,2],[2,2,2,2]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(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) => ([(0,5),(1,3),(1,4),(5,2)],6)

[[4,4,4,3,2],[3,3,3,2]] => ([(1,3),(2,4),(4,5)],6) => ([(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) => ([(0,4),(1,3),(1,5),(5,2)],6)

[[4,4,3,3,2],[3,3,2,2]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)

[[4,4,3,2,2],[3,3,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[5,5,4,3,2],[4,4,3,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[3,2,2,2,2],[2,1,1,1]] => ([(1,5),(2,3),(3,4),(4,5)],6) => ([(1,3),(1,5),(4,2),(5,4)],6)

[[4,3,3,3,2],[3,2,2,2]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[4,3,3,2,2],[3,2,2,1]] => ([(1,5),(2,5),(3,4)],6) => ([(1,5),(2,3),(2,4)],6)

[[5,4,4,3,2],[4,3,3,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[4,3,2,2,2],[3,2,1,1]] => ([(2,5),(3,4),(4,5)],6) => ([(2,3),(2,4),(4,5)],6)

[[5,4,3,3,2],[4,3,2,2]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[5,4,3,2,2],[4,3,2,1]] => ([(3,5),(4,5)],6) => ([(3,4),(3,5)],6)

[[6,5,4,3,2],[5,4,3,2]] => ([(4,5)],6) => ([(4,5)],6)

[[1,1,1,1,1,1],[]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => ([(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) => ([(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) => ([(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) => ([(2,3),(3,5),(5,4)],6)

[[2,2,2,1,1,1],[1,1,1]] => ([(0,5),(1,4),(4,2),(5,3)],6) => ([(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) => ([(1,3),(2,4),(4,5)],6)

[[3,3,3,2,1,1],[2,2,2,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[4,4,4,3,2,1],[3,3,3,2,1]] => ([(3,4),(4,5)],6) => ([(3,4),(4,5)],6)

[[2,2,1,1,1,1],[1,1]] => ([(0,5),(1,3),(4,2),(5,4)],6) => ([(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) => ([(1,3),(2,4),(4,5)],6)

[[3,3,2,2,1,1],[2,2,1,1]] => ([(0,5),(1,4),(2,3)],6) => ([(0,5),(1,4),(2,3)],6)

[[4,4,3,3,2,1],[3,3,2,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[3,3,2,1,1,1],[2,2,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[4,4,3,2,2,1],[3,3,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[4,4,3,2,1,1],[3,3,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[5,5,4,3,2,1],[4,4,3,2,1]] => ([(4,5)],6) => ([(4,5)],6)

[[2,1,1,1,1,1],[1]] => ([(1,5),(3,4),(4,2),(5,3)],6) => ([(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) => ([(2,3),(3,5),(5,4)],6)

[[3,2,2,2,1,1],[2,1,1,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[4,3,3,3,2,1],[3,2,2,2,1]] => ([(3,4),(4,5)],6) => ([(3,4),(4,5)],6)

[[3,2,2,1,1,1],[2,1,1]] => ([(1,3),(2,4),(4,5)],6) => ([(1,3),(2,4),(4,5)],6)

[[4,3,3,2,2,1],[3,2,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[4,3,3,2,1,1],[3,2,2,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[5,4,4,3,2,1],[4,3,3,2,1]] => ([(4,5)],6) => ([(4,5)],6)

[[3,2,1,1,1,1],[2,1]] => ([(2,3),(3,5),(5,4)],6) => ([(2,3),(3,5),(5,4)],6)

[[4,3,2,2,2,1],[3,2,1,1,1]] => ([(3,4),(4,5)],6) => ([(3,4),(4,5)],6)

[[4,3,2,2,1,1],[3,2,1,1]] => ([(2,5),(3,4)],6) => ([(2,5),(3,4)],6)

[[5,4,3,3,2,1],[4,3,2,2,1]] => ([(4,5)],6) => ([(4,5)],6)

[[4,3,2,1,1,1],[3,2,1]] => ([(3,4),(4,5)],6) => ([(3,4),(4,5)],6)

[[5,4,3,2,2,1],[4,3,2,1,1]] => ([(4,5)],6) => ([(4,5)],6)

[[5,4,3,2,1,1],[4,3,2,1]] => ([(4,5)],6) => ([(4,5)],6)

[[6,5,4,3,2,1],[5,4,3,2,1]] => ([],6) => ([],6)

[[7],[]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],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) => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)

[[7,1],[1]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => ([(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) => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)

[[6,2],[1]] => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7) => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)

[[7,2],[2]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(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) => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)

[[6,2,1],[1,1]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)

[[6,1,1],[1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(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) => ([(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) => ([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)

[[5,3],[1]] => ([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7) => ([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7)

[[6,3],[2]] => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7) => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)

[[7,3],[3]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(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) => ([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)

[[5,3,1],[1,1]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)

[[5,2,1],[1]] => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7) => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)

[[6,3,1],[2,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7)

[[6,2,1],[2]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)

[[7,3,1],[3,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)

[[6,3,2],[2,2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)

[[6,2,2],[2,1]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7)

[[7,3,2],[3,2]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)

[[5,2,2,1],[1,1,1]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7)

[[5,2,1,1],[1,1]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)

[[6,3,2,1],[2,2,1]] => ([(2,4),(2,6),(5,3),(6,5)],7) => ([(2,6),(3,4),(4,5),(5,6)],7)

[[5,1,1,1],[1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(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) => ([(1,6),(2,4),(5,3),(6,5)],7)

[[6,2,1,1],[2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(1,6),(2,4),(5,3),(6,5)],7)

[[7,3,2,1],[3,2,1]] => ([(3,4),(4,6),(6,5)],7) => ([(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) => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)

[[5,4],[2]] => ([(0,3),(1,4),(1,6),(3,6),(4,2),(4,5),(6,5)],7) => ([(0,6),(1,4),(1,6),(3,2),(4,3),(4,5),(6,5)],7)

[[6,4],[3]] => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7) => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)

[[7,4],[4]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(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) => ([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)

[[4,4,1],[1,1]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(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) => ([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)

[[5,4,1],[2,1]] => ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7) => ([(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) => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)

[[6,4,1],[3,1]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(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) => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)

[[7,4,1],[4,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => ([(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) => ([(0,2),(0,3),(1,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)

[[4,3,2],[1,1]] => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7) => ([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)

[[5,4,2],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)

[[4,2,2],[1]] => ([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)

[[5,3,2],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)

[[6,4,2],[3,2]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)

[[5,2,2],[2]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(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) => ([(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) => ([(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) => ([(0,4),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)

[[4,3,2,1],[1,1,1]] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)

[[4,3,1,1],[1,1]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)

[[5,4,2,1],[2,2,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)

[[4,2,1,1],[1]] => ([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7) => ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)

[[5,3,2,1],[2,1,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7)

[[5,3,1,1],[2,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)

[[6,4,2,1],[3,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => ([(2,5),(3,4),(3,6),(5,6)],7)

[[5,2,1,1],[2]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)

[[6,3,2,1],[3,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[6,3,1,1],[3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(0,5),(1,4),(2,6),(6,3)],7)

[[7,4,2,1],[4,2,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(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) => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)

[[6,3,3],[3,2]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)

[[7,4,3],[4,3]] => ([(1,6),(2,5),(5,3),(6,4)],7) => ([(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) => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)

[[5,3,3,1],[2,2,1]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)

[[5,3,2,1],[2,2]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)

[[6,4,3,1],[3,3,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,2,2,1],[2,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => ([(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) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[6,3,2,1],[3,2]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[7,4,3,1],[4,3,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)

[[5,3,3,2],[2,2,2]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)

[[5,3,2,2],[2,2,1]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7)

[[6,4,3,2],[3,3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,2,2,2],[2,1,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)

[[6,3,3,2],[3,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[7,4,3,2],[4,3,2]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)

[[4,2,2,2,1],[1,1,1,1]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7)

[[4,2,2,1,1],[1,1,1]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)

[[5,3,3,2,1],[2,2,2,1]] => ([(2,5),(2,6),(5,4),(6,3)],7) => ([(2,5),(3,4),(4,6),(5,6)],7)

[[4,2,1,1,1],[1,1]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)

[[5,3,2,2,1],[2,2,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,3,2,1,1],[2,2,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[6,4,3,2,1],[3,3,2,1]] => ([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7)

[[4,1,1,1,1],[1]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(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) => ([(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) => ([(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) => ([(2,4),(3,5),(5,6)],7)

[[5,2,1,1,1],[2,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => ([(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) => ([(2,4),(3,5),(5,6)],7)

[[6,3,2,1,1],[3,2,1]] => ([(2,4),(3,5),(5,6)],7) => ([(2,4),(3,5),(5,6)],7)

[[7,4,3,2,1],[4,3,2,1]] => ([(4,5),(5,6)],7) => ([(4,5),(5,6)],7)

[[5,5],[3]] => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7) => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)

[[6,5],[4]] => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7) => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)

[[7,5],[5]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(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) => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)

[[5,5,1],[3,1]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)

[[5,4,1],[3]] => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7) => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)

[[6,5,1],[4,1]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)

[[6,4,1],[4]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)

[[7,5,1],[5,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(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) => ([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)

[[5,5,2],[3,2]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)

[[4,3,2],[2]] => ([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7) => ([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)

[[5,4,2],[3,1]] => ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7) => ([(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) => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)

[[5,3,2],[3]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)

[[6,4,2],[4,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)

[[7,5,2],[5,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7)

[[4,4,2,1],[2,1,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[4,4,1,1],[2,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)

[[5,5,2,1],[3,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[4,3,1,1],[2]] => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7) => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)

[[5,4,2,1],[3,1,1]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)

[[5,4,1,1],[3,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)

[[6,5,2,1],[4,2,1]] => ([(2,5),(3,4),(3,6),(5,6)],7) => ([(2,6),(3,4),(3,6),(4,5)],7)

[[5,3,1,1],[3]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)

[[6,4,2,1],[4,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[6,4,1,1],[4,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(0,5),(1,4),(2,6),(6,3)],7)

[[7,5,2,1],[5,2,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)

[[4,4,3],[2,2]] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(3,6),(4,6)],7) => ([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)

[[5,5,3],[3,3]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(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) => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)

[[5,4,3],[3,2]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)

[[6,5,3],[4,3]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => ([(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) => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)

[[6,4,3],[4,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)

[[7,5,3],[5,3]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(0,6),(1,3),(1,6),(2,4),(3,2),(3,5),(5,4),(6,5)],7)

[[3,3,3,1],[1,1,1]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(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) => ([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7)

[[4,4,3,1],[2,2,1]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)

[[4,4,2,1],[2,2]] => ([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7) => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)

[[5,5,3,1],[3,3,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(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) => ([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)

[[4,3,3,1],[2,1,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[4,3,2,1],[2,1]] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7) => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)

[[5,4,3,1],[3,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(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) => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)

[[6,5,3,1],[4,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)

[[5,3,3,1],[3,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(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) => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)

[[6,4,3,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(1,6),(2,5),(3,4),(3,6)],7)

[[6,4,2,1],[4,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[7,5,3,1],[5,3,1]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)

[[4,4,3,2],[2,2,2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)

[[4,4,2,2],[2,2,1]] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)

[[5,5,3,2],[3,3,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(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) => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)

[[5,4,3,2],[3,2,2]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)

[[5,4,2,2],[3,2,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)

[[6,5,3,2],[4,3,2]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(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) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[6,4,2,2],[4,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[7,5,3,2],[5,3,2]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(0,3),(0,6),(1,4),(2,6),(3,5),(4,2),(6,5)],7)

[[3,3,2,2,1],[1,1,1,1]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)

[[3,3,2,1,1],[1,1,1]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)

[[4,4,3,2,1],[2,2,2,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)

[[3,3,1,1,1],[1,1]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(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) => ([(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) => ([(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) => ([(3,4),(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) => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)

[[4,3,2,2,1],[2,1,1,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7)

[[4,3,2,1,1],[2,1,1]] => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7) => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)

[[5,4,3,2,1],[3,2,2,1]] => ([(2,5),(2,6),(3,4),(3,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7)

[[4,3,1,1,1],[2,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => ([(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) => ([(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) => ([(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) => ([(3,6),(4,5),(4,6)],7)

[[4,2,1,1,1],[2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)

[[5,3,2,2,1],[3,1,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,3,2,1,1],[3,1,1]] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[6,4,3,2,1],[4,2,2,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[5,3,1,1,1],[3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(1,6),(2,5),(3,4)],7)

[[6,4,2,1,1],[4,2,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[7,5,3,2,1],[5,3,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[5,4,4],[3,3]] => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7) => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)

[[6,5,4],[4,4]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)

[[6,4,4],[4,3]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)

[[7,5,4],[5,4]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)

[[5,4,4,1],[3,3,1]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7)

[[5,4,3,1],[3,3]] => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7) => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)

[[6,5,4,1],[4,4,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[5,3,3,1],[3,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(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) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[6,4,3,1],[4,3]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[7,5,4,1],[5,4,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)

[[4,3,3,2],[2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)

[[5,4,4,2],[3,3,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(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) => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)

[[5,4,3,2],[3,3,1]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)

[[6,5,4,2],[4,4,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[4,2,2,2],[2,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)

[[5,3,3,2],[3,2,1]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)

[[6,4,4,2],[4,3,2]] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[5,3,2,2],[3,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(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) => ([(1,6),(2,5),(3,4),(3,6)],7)

[[7,5,4,2],[5,4,2]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)

[[4,3,3,2,1],[2,2,1,1]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)

[[4,3,3,1,1],[2,2,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(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) => ([(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) => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)

[[5,4,3,2,1],[3,3,1,1]] => ([(1,5),(1,6),(2,3),(2,4)],7) => ([(1,6),(2,6),(3,5),(4,5)],7)

[[5,4,3,1,1],[3,3,1]] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[6,5,4,2,1],[4,4,2,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[4,2,2,1,1],[2,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)

[[5,3,3,2,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[6,4,4,2,1],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[5,3,2,1,1],[3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[6,4,3,2,1],[4,3,1,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[6,4,3,1,1],[4,3,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[7,5,4,2,1],[5,4,2,1]] => ([(3,6),(4,5)],7) => ([(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) => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)

[[5,4,4,3],[3,3,3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)

[[5,4,3,3],[3,3,2]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)

[[6,5,4,3],[4,4,3]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[5,3,3,3],[3,2,2]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7)

[[6,4,4,3],[4,3,3]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[7,5,4,3],[5,4,3]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)

[[4,3,3,3,1],[2,2,2,1]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(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) => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)

[[5,4,4,3,1],[3,3,3,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[4,3,2,2,1],[2,2,1]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)

[[5,4,3,3,1],[3,3,2,1]] => ([(1,6),(2,6),(3,4),(3,5)],7) => ([(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) => ([(1,6),(2,6),(3,5),(4,5)],7)

[[6,5,4,3,1],[4,4,3,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[4,2,2,2,1],[2,1,1]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)

[[5,3,3,3,1],[3,2,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[5,3,3,2,1],[3,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[6,4,4,3,1],[4,3,3,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[5,3,2,2,1],[3,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(2,6),(3,4),(3,5)],7)

[[6,4,3,2,1],[4,3,2]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[7,5,4,3,1],[5,4,3,1]] => ([(3,6),(4,5)],7) => ([(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) => ([(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) => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)

[[4,3,3,2,2],[2,2,2,1]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7)

[[5,4,4,3,2],[3,3,3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[4,3,2,2,2],[2,2,1,1]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)

[[5,4,3,3,2],[3,3,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[5,4,3,2,2],[3,3,2,1]] => ([(1,6),(2,6),(3,4),(3,5)],7) => ([(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) => ([(2,6),(3,6),(4,5)],7)

[[4,2,2,2,2],[2,1,1,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)

[[5,3,3,3,2],[3,2,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[6,4,4,3,2],[4,3,3,2]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[6,4,3,3,2],[4,3,2,2]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[6,4,3,2,2],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[7,5,4,3,2],[5,4,3,2]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[2,1,1,1,1,1],[]] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)

[[3,2,2,2,2,1],[1,1,1,1,1]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)

[[3,2,2,2,1,1],[1,1,1,1]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)

[[4,3,3,3,2,1],[2,2,2,2,1]] => ([(2,4),(2,6),(5,3),(6,5)],7) => ([(2,6),(3,4),(4,5),(5,6)],7)

[[3,2,2,1,1,1],[1,1,1]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)

[[4,3,3,2,2,1],[2,2,2,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[4,3,3,2,1,1],[2,2,2,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,4,4,3,2,1],[3,3,3,2,1]] => ([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7)

[[3,2,1,1,1,1],[1,1]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)

[[4,3,2,2,2,1],[2,2,1,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[4,3,2,2,1,1],[2,2,1,1]] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[5,4,3,3,2,1],[3,3,2,2,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[4,3,2,1,1,1],[2,2,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[5,4,3,2,2,1],[3,3,2,1,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[5,4,3,2,1,1],[3,3,2,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[6,5,4,3,2,1],[4,4,3,2,1]] => ([(4,5),(4,6)],7) => ([(4,6),(5,6)],7)

[[3,1,1,1,1,1],[1]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(1,6),(2,5),(3,4)],7)

[[5,3,3,2,1,1],[3,2,2,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[6,4,4,3,2,1],[4,3,3,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[4,2,1,1,1,1],[2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(2,4),(3,5),(5,6)],7)

[[5,3,2,2,1,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[6,4,3,3,2,1],[4,3,2,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[5,3,2,1,1,1],[3,2,1]] => ([(2,4),(3,5),(5,6)],7) => ([(2,4),(3,5),(5,6)],7)

[[6,4,3,2,2,1],[4,3,2,1,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[6,4,3,2,1,1],[4,3,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[7,5,4,3,2,1],[5,4,3,2,1]] => ([(5,6)],7) => ([(5,6)],7)

[[6,6],[5]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)

[[7,6],[6]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => ([(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) => ([(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) => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7)

[[6,5,1],[5]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)

[[7,6,1],[6,1]] => ([(2,6),(4,5),(5,3),(6,4)],7) => ([(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) => ([(0,4),(0,6),(1,2),(1,3),(3,6),(4,5),(6,5)],7)

[[5,5,2],[4,1]] => ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7) => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)

[[6,6,2],[5,2]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)

[[5,4,2],[4]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)

[[6,5,2],[5,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7)

[[7,6,2],[6,2]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)

[[5,5,2,1],[4,1,1]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(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) => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)

[[6,6,2,1],[5,2,1]] => ([(2,6),(3,4),(4,5),(5,6)],7) => ([(2,4),(2,6),(5,3),(6,5)],7)

[[5,4,1,1],[4]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7)

[[6,5,2,1],[5,1,1]] => ([(2,4),(2,6),(5,3),(6,5)],7) => ([(2,6),(3,4),(4,5),(5,6)],7)

[[6,5,1,1],[5,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(1,6),(2,4),(5,3),(6,5)],7)

[[7,6,2,1],[6,2,1]] => ([(3,4),(4,6),(6,5)],7) => ([(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) => ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)

[[4,4,3],[3,1]] => ([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)

[[5,5,3],[4,2]] => ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)

[[6,6,3],[5,3]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)

[[4,3,3],[3]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(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) => ([(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) => ([(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) => ([(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) => ([(0,4),(1,4),(1,5),(2,3),(2,5),(4,6),(5,6)],7)

[[4,4,3,1],[3,1,1]] => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)

[[4,4,2,1],[3,1]] => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7) => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)

[[5,5,3,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7)

[[5,5,2,1],[4,2]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)

[[6,6,3,1],[5,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[4,3,2,1],[3]] => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7) => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)

[[5,4,3,1],[4,1,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)

[[5,4,2,1],[4,1]] => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7) => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7)

[[6,5,3,1],[5,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => ([(2,5),(3,4),(3,6),(5,6)],7)

[[6,5,2,1],[5,2]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[7,6,3,1],[6,3,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)

[[5,5,3,2],[4,2,2]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(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) => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7)

[[6,6,3,2],[5,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[5,4,2,2],[4,1,1]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)

[[6,5,3,2],[5,2,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[6,5,2,2],[5,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[7,6,3,2],[6,3,2]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)

[[4,4,2,2,1],[3,1,1,1]] => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7) => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)

[[4,4,2,1,1],[3,1,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(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) => ([(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) => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)

[[5,5,2,2,1],[4,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[5,5,2,1,1],[4,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[6,6,3,2,1],[5,3,2,1]] => ([(3,6),(4,5),(5,6)],7) => ([(3,4),(3,5),(5,6)],7)

[[4,3,1,1,1],[3]] => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7)

[[5,4,2,2,1],[4,1,1,1]] => ([(2,5),(2,6),(5,4),(6,3)],7) => ([(2,5),(3,4),(4,6),(5,6)],7)

[[5,4,2,1,1],[4,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[6,5,3,2,1],[5,2,2,1]] => ([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7)

[[5,4,1,1,1],[4,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => ([(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) => ([(2,4),(3,5),(5,6)],7)

[[6,5,2,1,1],[5,2,1]] => ([(2,4),(3,5),(5,6)],7) => ([(2,4),(3,5),(5,6)],7)

[[7,6,3,2,1],[6,3,2,1]] => ([(4,5),(5,6)],7) => ([(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) => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)

[[5,5,4],[4,3]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)

[[6,6,4],[5,4]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7)

[[5,4,4],[4,2]] => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7) => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)

[[6,5,4],[5,3]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)

[[7,6,4],[6,4]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(0,6),(1,3),(1,4),(3,5),(3,6),(4,2),(4,5)],7)

[[4,4,4,1],[3,2,1]] => ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7) => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)

[[4,4,3,1],[3,2]] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7) => ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)

[[5,5,4,1],[4,3,1]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7)

[[5,5,3,1],[4,3]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7)

[[6,6,4,1],[5,4,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[4,3,3,1],[3,1]] => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7) => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[5,4,4,1],[4,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[5,4,3,1],[4,2]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)

[[6,5,4,1],[5,3,1]] => ([(2,5),(3,4),(3,6),(5,6)],7) => ([(2,6),(3,4),(3,6),(4,5)],7)

[[6,5,3,1],[5,3]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[7,6,4,1],[6,4,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)

[[3,3,3,2],[2,1,1]] => ([(0,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7) => ([(0,3),(0,6),(1,4),(1,6),(4,2),(4,5),(6,5)],7)

[[4,4,4,2],[3,2,2]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)

[[3,3,2,2],[2,1]] => ([(0,4),(1,4),(1,5),(2,3),(2,5),(3,6),(5,6)],7) => ([(0,4),(0,6),(1,2),(1,3),(2,5),(3,5),(3,6)],7)

[[4,4,3,2],[3,2,1]] => ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)

[[5,5,4,2],[4,3,2]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)

[[4,4,2,2],[3,2]] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7) => ([(0,2),(0,3),(1,4),(1,5),(4,6),(5,6)],7)

[[5,5,3,2],[4,3,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)

[[6,6,4,2],[5,4,2]] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[3,2,2,2],[2]] => ([(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7) => ([(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) => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)

[[5,4,4,2],[4,2,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(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) => ([(1,5),(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[5,4,3,2],[4,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(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) => ([(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) => ([(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) => ([(1,6),(2,5),(3,4),(3,6)],7)

[[7,6,4,2],[6,4,2]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(0,3),(1,4),(1,6),(3,6),(4,2),(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) => ([(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) => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)

[[4,4,4,2,1],[3,2,2,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[3,3,2,1,1],[2,1]] => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7) => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)

[[4,4,3,2,1],[3,2,1,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(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) => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)

[[5,5,4,2,1],[4,3,2,1]] => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(2,5),(2,6),(3,4),(3,6)],7)

[[4,4,2,1,1],[3,2]] => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7) => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7)

[[5,5,3,2,1],[4,3,1,1]] => ([(1,6),(2,6),(3,4),(3,5)],7) => ([(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) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[6,6,4,2,1],[5,4,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[3,2,2,1,1],[2]] => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7) => ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)

[[4,3,3,2,1],[3,1,1,1]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)

[[4,3,3,1,1],[3,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(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) => ([(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) => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7)

[[5,4,3,2,1],[4,2,1,1]] => ([(2,5),(2,6),(3,4),(3,6)],7) => ([(2,6),(3,5),(4,5),(4,6)],7)

[[5,4,3,1,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(3,6),(4,5),(4,6)],7)

[[5,4,2,1,1],[4,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[6,5,3,2,1],[5,3,1,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[6,5,3,1,1],[5,3,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[7,6,4,2,1],[6,4,2,1]] => ([(3,6),(4,5)],7) => ([(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) => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)

[[5,5,4,3],[4,3,3]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => ([(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) => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7)

[[6,6,4,3],[5,4,3]] => ([(1,6),(2,6),(3,4),(4,5)],7) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[5,4,3,3],[4,2,2]] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7) => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7)

[[6,5,4,3],[5,3,3]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[6,5,3,3],[5,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[7,6,4,3],[6,4,3]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(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) => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7)

[[4,4,3,2,1],[3,2,2]] => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7) => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)

[[5,5,4,3,1],[4,3,3,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)

[[5,5,3,3,1],[4,3,2,1]] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4)],7)

[[5,5,3,2,1],[4,3,2]] => ([(1,6),(2,6),(3,4),(3,5)],7) => ([(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) => ([(2,6),(3,4),(3,5)],7)

[[4,3,2,2,1],[3,1,1]] => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7) => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7)

[[5,4,3,3,1],[4,2,2,1]] => ([(2,6),(3,4),(3,5),(5,6)],7) => ([(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) => ([(1,6),(2,6),(3,5),(4,5)],7)

[[6,5,4,3,1],[5,3,3,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[5,4,2,2,1],[4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(2,6),(3,4),(3,5)],7)

[[6,5,3,2,1],[5,3,2]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[7,6,4,3,1],[6,4,3,1]] => ([(3,6),(4,5)],7) => ([(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) => ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)

[[4,4,3,3,2],[3,2,2,2]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)

[[4,4,3,2,2],[3,2,2,1]] => ([(0,5),(1,5),(2,6),(3,4),(3,6)],7) => ([(0,6),(1,5),(1,6),(2,3),(2,4)],7)

[[5,5,4,3,2],[4,3,3,2]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7)

[[5,5,3,3,2],[4,3,2,2]] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[5,5,3,2,2],[4,3,2,1]] => ([(1,6),(2,6),(3,5),(4,5)],7) => ([(1,5),(1,6),(2,3),(2,4)],7)

[[6,6,4,3,2],[5,4,3,2]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[4,3,2,2,2],[3,1,1,1]] => ([(1,6),(2,3),(2,4),(4,5),(5,6)],7) => ([(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) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,4,3,2,2],[4,2,2,1]] => ([(1,6),(2,6),(3,4),(3,5)],7) => ([(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) => ([(2,6),(3,6),(4,5)],7)

[[5,4,2,2,2],[4,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[6,5,3,3,2],[5,3,2,2]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[6,5,3,2,2],[5,3,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[7,6,4,3,2],[6,4,3,2]] => ([(3,6),(4,5)],7) => ([(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) => ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)

[[3,3,2,2,2,1],[2,1,1,1,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7)

[[3,3,2,2,1,1],[2,1,1,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)

[[4,4,3,3,2,1],[3,2,2,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => ([(2,5),(3,4),(3,6),(5,6)],7)

[[3,3,2,1,1,1],[2,1,1]] => ([(0,6),(1,4),(2,3),(2,6),(4,5)],7) => ([(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) => ([(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) => ([(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) => ([(3,6),(4,5),(4,6)],7)

[[3,3,1,1,1,1],[2,1]] => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7) => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7)

[[4,4,2,2,2,1],[3,2,1,1,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[4,4,2,2,1,1],[3,2,1,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[5,5,3,3,2,1],[4,3,2,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[4,4,2,1,1,1],[3,2,1]] => ([(1,6),(2,6),(3,4),(4,5)],7) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[5,5,3,2,2,1],[4,3,2,1,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[5,5,3,2,1,1],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[6,6,4,3,2,1],[5,4,3,2,1]] => ([(4,6),(5,6)],7) => ([(4,5),(4,6)],7)

[[3,2,1,1,1,1],[2]] => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7) => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)

[[4,3,2,2,2,1],[3,1,1,1,1]] => ([(2,4),(2,6),(5,3),(6,5)],7) => ([(2,6),(3,4),(4,5),(5,6)],7)

[[4,3,2,2,1,1],[3,1,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,4,3,3,2,1],[4,2,2,2,1]] => ([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7)

[[4,3,2,1,1,1],[3,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[5,4,3,2,2,1],[4,2,2,1,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[5,4,3,2,1,1],[4,2,2,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[6,5,4,3,2,1],[5,3,3,2,1]] => ([(4,5),(4,6)],7) => ([(4,6),(5,6)],7)

[[4,3,1,1,1,1],[3,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(2,4),(3,5),(5,6)],7)

[[5,4,2,2,1,1],[4,2,1,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[6,5,3,3,2,1],[5,3,2,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[5,4,2,1,1,1],[4,2,1]] => ([(2,4),(3,5),(5,6)],7) => ([(2,4),(3,5),(5,6)],7)

[[6,5,3,2,2,1],[5,3,2,1,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[6,5,3,2,1,1],[5,3,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[7,6,4,3,2,1],[6,4,3,2,1]] => ([(5,6)],7) => ([(5,6)],7)

[[5,5,5],[4,4]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)

[[6,6,5],[5,5]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(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) => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7)

[[7,6,5],[6,5]] => ([(2,6),(4,5),(5,3),(6,4)],7) => ([(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) => ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)

[[5,5,5,1],[4,4,1]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7)

[[5,5,4,1],[4,4]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)

[[6,6,5,1],[5,5,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(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) => ([(2,4),(2,6),(5,3),(6,5)],7)

[[6,5,4,1],[5,4]] => ([(2,4),(2,6),(5,3),(6,5)],7) => ([(2,6),(3,4),(4,5),(5,6)],7)

[[7,6,5,1],[6,5,1]] => ([(3,4),(4,6),(6,5)],7) => ([(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) => ([(0,3),(0,6),(1,4),(1,6),(3,5),(4,2),(6,5)],7)

[[4,4,4,2],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7) => ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)

[[5,5,5,2],[4,4,2]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7)

[[4,4,3,2],[3,3]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)

[[5,5,4,2],[4,4,1]] => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7) => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)

[[6,6,5,2],[5,5,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(1,3),(1,5),(2,4),(2,5),(4,6),(5,6)],7)

[[5,4,4,2],[4,3,1]] => ([(1,6),(2,5),(3,4),(3,5),(4,6)],7) => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7)

[[6,5,5,2],[5,4,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[5,4,3,2],[4,3]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)

[[6,5,4,2],[5,4,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => ([(2,5),(3,4),(3,6),(5,6)],7)

[[7,6,5,2],[6,5,2]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(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) => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7)

[[4,4,4,1,1],[3,3,1]] => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7) => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7)

[[5,5,5,2,1],[4,4,2,1]] => ([(2,5),(3,4),(4,6),(5,6)],7) => ([(2,5),(2,6),(5,4),(6,3)],7)

[[4,4,3,1,1],[3,3]] => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7) => ([(0,5),(1,4),(2,3),(4,6),(5,6)],7)

[[5,5,4,2,1],[4,4,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,5,4,1,1],[4,4,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(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) => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)

[[5,4,4,2,1],[4,3,1,1]] => ([(2,6),(3,4),(3,5),(5,6)],7) => ([(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) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[6,5,5,2,1],[5,4,2,1]] => ([(3,6),(4,5),(5,6)],7) => ([(3,4),(3,5),(5,6)],7)

[[5,4,3,1,1],[4,3]] => ([(2,5),(2,6),(5,4),(6,3)],7) => ([(2,5),(3,4),(4,6),(5,6)],7)

[[6,5,4,2,1],[5,4,1,1]] => ([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7)

[[6,5,4,1,1],[5,4,1]] => ([(2,4),(3,5),(5,6)],7) => ([(2,4),(3,5),(5,6)],7)

[[7,6,5,2,1],[6,5,2,1]] => ([(4,5),(5,6)],7) => ([(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) => ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)

[[4,4,4,3],[3,3,2]] => ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7) => ([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)

[[5,5,5,3],[4,4,3]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)

[[4,4,3,3],[3,3,1]] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)

[[5,5,4,3],[4,4,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)

[[6,6,5,3],[5,5,3]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)

[[5,4,4,3],[4,3,2]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7)

[[6,5,5,3],[5,4,3]] => ([(1,6),(2,6),(3,4),(4,5)],7) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[5,4,3,3],[4,3,1]] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7) => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[6,5,4,3],[5,4,2]] => ([(2,5),(3,4),(3,6),(5,6)],7) => ([(2,6),(3,4),(3,6),(4,5)],7)

[[7,6,5,3],[6,5,3]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,6),(1,4),(1,6),(3,2),(4,3),(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) => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)

[[3,3,3,2,1],[2,2,1]] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7) => ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)

[[4,4,4,3,1],[3,3,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7)

[[4,4,4,2,1],[3,3,2]] => ([(0,6),(1,5),(2,3),(2,4),(5,6)],7) => ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)

[[5,5,5,3,1],[4,4,3,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[3,3,2,2,1],[2,2]] => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7) => ([(0,5),(1,3),(2,4),(2,5),(4,6),(5,6)],7)

[[4,4,3,3,1],[3,3,1,1]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(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) => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)

[[5,5,4,3,1],[4,4,2,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[6,6,5,3,1],[5,5,3,1]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(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) => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[4,3,3,2,1],[3,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(3,6)],7) => ([(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) => ([(2,5),(2,6),(3,4),(3,6)],7)

[[5,4,4,2,1],[4,3,2]] => ([(1,6),(2,6),(3,4),(3,5)],7) => ([(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) => ([(2,6),(3,4),(3,5)],7)

[[4,3,2,2,1],[3,2]] => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7) => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)

[[5,4,3,3,1],[4,3,1,1]] => ([(3,4),(3,5),(4,6),(5,6)],7) => ([(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) => ([(2,6),(3,5),(4,5),(4,6)],7)

[[6,5,4,3,1],[5,4,2,1]] => ([(3,6),(4,5),(4,6)],7) => ([(3,6),(4,5),(4,6)],7)

[[6,5,4,2,1],[5,4,2]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[7,6,5,3,1],[6,5,3,1]] => ([(3,6),(4,5)],7) => ([(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) => ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)

[[4,4,4,3,2],[3,3,2,2]] => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7) => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)

[[4,4,4,2,2],[3,3,2,1]] => ([(0,6),(1,5),(2,5),(3,4),(4,6)],7) => ([(0,3),(0,4),(1,5),(1,6),(6,2)],7)

[[5,5,5,3,2],[4,4,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[4,4,3,2,2],[3,3,1,1]] => ([(0,6),(1,4),(2,3),(2,5),(5,6)],7) => ([(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) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[5,5,4,2,2],[4,4,2,1]] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[6,6,5,3,2],[5,5,3,2]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(1,4),(1,6),(2,3),(2,5),(5,6)],7)

[[5,4,4,3,2],[4,3,2,2]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(1,5),(1,6),(2,3),(2,4)],7)

[[6,5,5,3,2],[5,4,3,2]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[5,4,3,2,2],[4,3,1,1]] => ([(2,6),(3,4),(3,5),(5,6)],7) => ([(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) => ([(2,6),(3,6),(4,5)],7)

[[6,5,4,2,2],[5,4,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[7,6,5,3,2],[6,5,3,2]] => ([(3,6),(4,5)],7) => ([(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) => ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)

[[3,3,3,2,2,1],[2,2,1,1,1]] => ([(1,4),(2,3),(2,6),(3,5),(4,6)],7) => ([(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) => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)

[[4,4,4,3,2,1],[3,3,2,2,1]] => ([(2,5),(3,4),(3,6),(5,6)],7) => ([(2,6),(3,4),(3,6),(4,5)],7)

[[3,3,3,1,1,1],[2,2,1]] => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7) => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)

[[4,4,4,2,2,1],[3,3,2,1,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[4,4,4,2,1,1],[3,3,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[5,5,5,3,2,1],[4,4,3,2,1]] => ([(3,6),(4,5),(5,6)],7) => ([(3,4),(3,5),(5,6)],7)

[[3,3,2,1,1,1],[2,2]] => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7) => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)

[[4,4,3,2,2,1],[3,3,1,1,1]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[4,4,3,2,1,1],[3,3,1,1]] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[5,5,4,3,2,1],[4,4,2,2,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[4,4,3,1,1,1],[3,3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(1,6),(2,5),(3,4)],7)

[[5,5,4,2,1,1],[4,4,2,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[6,6,5,3,2,1],[5,5,3,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[3,2,2,1,1,1],[2,1]] => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7) => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7)

[[4,3,3,2,2,1],[3,2,1,1,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => ([(2,5),(3,4),(3,6),(5,6)],7)

[[4,3,3,2,1,1],[3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(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) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[5,4,4,2,2,1],[4,3,2,1,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[5,4,4,2,1,1],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[6,5,5,3,2,1],[5,4,3,2,1]] => ([(4,6),(5,6)],7) => ([(4,5),(4,6)],7)

[[4,3,2,1,1,1],[3,2]] => ([(2,4),(2,6),(5,3),(6,5)],7) => ([(2,6),(3,4),(4,5),(5,6)],7)

[[5,4,3,2,2,1],[4,3,1,1,1]] => ([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7)

[[5,4,3,2,1,1],[4,3,1,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[6,5,4,3,2,1],[5,4,2,2,1]] => ([(4,5),(4,6)],7) => ([(4,6),(5,6)],7)

[[5,4,3,1,1,1],[4,3,1]] => ([(2,4),(3,5),(5,6)],7) => ([(2,4),(3,5),(5,6)],7)

[[6,5,4,2,2,1],[5,4,2,1,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[6,5,4,2,1,1],[5,4,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[7,6,5,3,2,1],[6,5,3,2,1]] => ([(5,6)],7) => ([(5,6)],7)

[[4,4,4,4],[3,3,3]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)

[[5,5,5,4],[4,4,4]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(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) => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)

[[6,6,5,4],[5,5,4]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7)

[[6,5,5,4],[5,4,4]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(2,4),(2,6),(5,3),(6,5)],7)

[[7,6,5,4],[6,5,4]] => ([(3,4),(4,6),(6,5)],7) => ([(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) => ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)

[[4,4,4,4,1],[3,3,3,1]] => ([(1,3),(2,4),(3,5),(4,6),(5,6)],7) => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7)

[[4,4,4,3,1],[3,3,3]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)

[[5,5,5,4,1],[4,4,4,1]] => ([(1,6),(2,5),(5,3),(6,4)],7) => ([(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) => ([(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) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[5,5,4,3,1],[4,4,3]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[6,6,5,4,1],[5,5,4,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(1,6),(2,3),(2,4),(3,5),(4,6)],7)

[[5,4,4,4,1],[4,3,3,1]] => ([(2,5),(3,4),(4,6),(5,6)],7) => ([(2,5),(2,6),(5,4),(6,3)],7)

[[5,4,4,3,1],[4,3,3]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[6,5,5,4,1],[5,4,4,1]] => ([(2,4),(3,5),(5,6)],7) => ([(2,4),(3,5),(5,6)],7)

[[5,4,3,3,1],[4,3,2]] => ([(2,6),(3,4),(3,5),(5,6)],7) => ([(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) => ([(3,4),(3,5),(5,6)],7)

[[6,5,4,3,1],[5,4,3]] => ([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7)

[[7,6,5,4,1],[6,5,4,1]] => ([(4,5),(5,6)],7) => ([(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) => ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)

[[3,3,3,3,2],[2,2,2,1]] => ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7) => ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)

[[4,4,4,4,2],[3,3,3,2]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)

[[3,3,3,2,2],[2,2,2]] => ([(0,5),(1,3),(1,4),(3,6),(4,6),(5,2)],7) => ([(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) => ([(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) => ([(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) => ([(0,4),(1,3),(1,5),(3,6),(5,2),(5,6)],7)

[[4,4,3,3,2],[3,3,2,1]] => ([(0,6),(1,5),(2,5),(2,6),(3,4)],7) => ([(0,5),(1,4),(1,6),(2,3),(2,6)],7)

[[5,5,4,4,2],[4,4,3,2]] => ([(0,6),(1,6),(2,5),(3,4)],7) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[4,4,3,2,2],[3,3,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(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) => ([(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) => ([(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) => ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)

[[4,3,3,3,2],[3,2,2,1]] => ([(1,5),(2,5),(2,6),(3,4),(4,6)],7) => ([(1,3),(1,6),(2,4),(2,6),(4,5)],7)

[[5,4,4,4,2],[4,3,3,2]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[4,3,3,2,2],[3,2,2]] => ([(1,3),(2,4),(2,5),(4,6),(5,6)],7) => ([(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) => ([(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) => ([(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) => ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)

[[5,4,3,3,2],[4,3,2,1]] => ([(2,6),(3,5),(4,5),(4,6)],7) => ([(2,5),(2,6),(3,4),(3,6)],7)

[[6,5,4,4,2],[5,4,3,2]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[5,4,3,2,2],[4,3,2]] => ([(3,4),(3,5),(4,6),(5,6)],7) => ([(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) => ([(3,6),(4,5),(4,6)],7)

[[7,6,5,4,2],[6,5,4,2]] => ([(3,6),(4,5)],7) => ([(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) => ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)

[[3,3,3,3,2,1],[2,2,2,1,1]] => ([(1,4),(2,3),(2,6),(4,5),(5,6)],7) => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)

[[3,3,3,3,1,1],[2,2,2,1]] => ([(0,6),(1,3),(2,4),(4,5),(5,6)],7) => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)

[[4,4,4,4,2,1],[3,3,3,2,1]] => ([(2,6),(3,4),(4,5),(5,6)],7) => ([(2,4),(2,6),(5,3),(6,5)],7)

[[3,3,3,2,1,1],[2,2,2]] => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7) => ([(0,6),(1,3),(2,4),(3,5),(4,6)],7)

[[4,4,4,3,2,1],[3,3,3,1,1]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[4,4,4,3,1,1],[3,3,3,1]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(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) => ([(0,3),(1,5),(2,4),(2,6),(5,6)],7)

[[4,4,3,3,2,1],[3,3,2,1,1]] => ([(1,6),(2,5),(3,4),(3,6)],7) => ([(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) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[5,5,4,4,2,1],[4,4,3,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[4,4,3,2,1,1],[3,3,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,5,4,3,2,1],[4,4,3,1,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[5,5,4,3,1,1],[4,4,3,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[6,6,5,4,2,1],[5,5,4,2,1]] => ([(3,6),(4,5)],7) => ([(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) => ([(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) => ([(2,6),(3,4),(3,6),(4,5)],7)

[[4,3,3,3,1,1],[3,2,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[5,4,4,4,2,1],[4,3,3,2,1]] => ([(3,6),(4,5),(5,6)],7) => ([(3,4),(3,5),(5,6)],7)

[[4,3,3,2,1,1],[3,2,2]] => ([(1,5),(2,4),(2,6),(6,3)],7) => ([(1,6),(2,4),(3,5),(5,6)],7)

[[5,4,4,3,2,1],[4,3,3,1,1]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[5,4,4,3,1,1],[4,3,3,1]] => ([(1,6),(2,5),(3,4)],7) => ([(1,6),(2,5),(3,4)],7)

[[6,5,5,4,2,1],[5,4,4,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[4,3,2,2,1,1],[3,2,1]] => ([(2,6),(3,4),(3,6),(4,5)],7) => ([(2,5),(3,4),(3,6),(5,6)],7)

[[5,4,3,3,2,1],[4,3,2,1,1]] => ([(3,6),(4,5),(4,6)],7) => ([(3,6),(4,5),(4,6)],7)

[[5,4,3,3,1,1],[4,3,2,1]] => ([(2,6),(3,6),(4,5)],7) => ([(2,6),(3,4),(3,5)],7)

[[6,5,4,4,2,1],[5,4,3,2,1]] => ([(4,6),(5,6)],7) => ([(4,5),(4,6)],7)

[[5,4,3,2,1,1],[4,3,2]] => ([(3,4),(3,5),(5,6)],7) => ([(3,6),(4,5),(5,6)],7)

[[6,5,4,3,2,1],[5,4,3,1,1]] => ([(4,5),(4,6)],7) => ([(4,6),(5,6)],7)

[[6,5,4,3,1,1],[5,4,3,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[7,6,5,4,2,1],[6,5,4,2,1]] => ([(5,6)],7) => ([(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) => ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)

[[4,4,4,4,3],[3,3,3,3]] => ([(0,5),(1,6),(4,3),(5,4),(6,2)],7) => ([(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) => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)

[[5,5,5,4,3],[4,4,4,3]] => ([(1,6),(2,5),(5,3),(6,4)],7) => ([(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) => ([(0,4),(1,5),(1,6),(5,3),(6,2)],7)

[[5,5,4,4,3],[4,4,3,3]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[6,6,5,4,3],[5,5,4,3]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(1,5),(1,6),(4,3),(5,4),(6,2)],7)

[[5,4,4,4,3],[4,3,3,3]] => ([(1,6),(2,5),(5,3),(6,4)],7) => ([(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) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[6,5,5,4,3],[5,4,4,3]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(2,5),(2,6),(5,4),(6,3)],7)

[[6,5,4,4,3],[5,4,3,3]] => ([(2,4),(3,5),(5,6)],7) => ([(2,4),(3,5),(5,6)],7)

[[6,5,4,3,3],[5,4,3,2]] => ([(3,6),(4,5),(5,6)],7) => ([(3,4),(3,5),(5,6)],7)

[[7,6,5,4,3],[6,5,4,3]] => ([(4,5),(5,6)],7) => ([(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) => ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)

[[3,3,3,3,3,1],[2,2,2,2,1]] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7) => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7)

[[3,3,3,3,2,1],[2,2,2,2]] => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7) => ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)

[[4,4,4,4,3,1],[3,3,3,3,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(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) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[4,4,4,3,2,1],[3,3,3,2]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[5,5,5,4,3,1],[4,4,4,3,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,6),(1,3),(2,4),(2,6),(4,5)],7)

[[4,4,3,3,3,1],[3,3,2,2,1]] => ([(1,6),(2,4),(3,5),(5,6)],7) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[4,4,3,3,2,1],[3,3,2,2]] => ([(0,6),(1,5),(2,3),(2,4)],7) => ([(0,6),(1,6),(2,5),(3,4)],7)

[[5,5,4,4,3,1],[4,4,3,3,1]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(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) => ([(2,6),(3,4),(3,5)],7)

[[5,5,4,3,2,1],[4,4,3,2]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[6,6,5,4,3,1],[5,5,4,3,1]] => ([(3,6),(4,5)],7) => ([(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) => ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)

[[4,3,3,3,3,1],[3,2,2,2,1]] => ([(2,6),(3,4),(4,5),(5,6)],7) => ([(2,4),(2,6),(5,3),(6,5)],7)

[[4,3,3,3,2,1],[3,2,2,2]] => ([(1,6),(2,4),(2,5),(6,3)],7) => ([(1,6),(2,6),(3,4),(4,5)],7)

[[5,4,4,4,3,1],[4,3,3,3,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(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) => ([(2,6),(3,4),(3,5)],7)

[[5,4,4,3,2,1],[4,3,3,2]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[6,5,5,4,3,1],[5,4,4,3,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[4,3,2,2,2,1],[3,2,1,1]] => ([(2,5),(3,4),(3,6),(5,6)],7) => ([(2,6),(3,4),(3,6),(4,5)],7)

[[5,4,3,3,3,1],[4,3,2,2,1]] => ([(3,6),(4,5),(5,6)],7) => ([(3,4),(3,5),(5,6)],7)

[[5,4,3,3,2,1],[4,3,2,2]] => ([(2,6),(3,4),(3,5)],7) => ([(2,6),(3,6),(4,5)],7)

[[6,5,4,4,3,1],[5,4,3,3,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[5,4,3,2,2,1],[4,3,2,1]] => ([(3,6),(4,5),(4,6)],7) => ([(3,6),(4,5),(4,6)],7)

[[6,5,4,3,3,1],[5,4,3,2,1]] => ([(4,6),(5,6)],7) => ([(4,5),(4,6)],7)

[[6,5,4,3,2,1],[5,4,3,2]] => ([(4,5),(4,6)],7) => ([(4,6),(5,6)],7)

[[7,6,5,4,3,1],[6,5,4,3,1]] => ([(5,6)],7) => ([(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) => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)

[[3,3,3,3,3,2],[2,2,2,2,2]] => ([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => ([(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) => ([(0,6),(1,3),(1,4),(5,2),(6,5)],7)

[[4,4,4,4,3,2],[3,3,3,3,2]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(0,6),(1,4),(1,5),(5,3),(6,2)],7)

[[4,4,4,3,3,2],[3,3,3,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[5,5,5,4,3,2],[4,4,4,3,2]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)

[[4,4,3,3,3,2],[3,3,2,2,2]] => ([(0,5),(1,4),(2,6),(6,3)],7) => ([(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) => ([(0,6),(1,5),(2,3),(2,4)],7)

[[5,5,4,4,3,2],[4,4,3,3,2]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[5,5,4,3,3,2],[4,4,3,2,2]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(2,6),(3,4),(3,5)],7)

[[6,6,5,4,3,2],[5,5,4,3,2]] => ([(3,6),(4,5)],7) => ([(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) => ([(1,3),(1,6),(4,5),(5,2),(6,4)],7)

[[4,3,3,3,3,2],[3,2,2,2,2]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(1,6),(2,4),(2,5),(6,3)],7)

[[5,4,4,4,3,2],[4,3,3,3,2]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(1,5),(2,4),(2,6),(6,3)],7)

[[5,4,4,3,3,2],[4,3,3,2,2]] => ([(1,6),(2,5),(3,4)],7) => ([(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) => ([(2,6),(3,4),(3,5)],7)

[[6,5,5,4,3,2],[5,4,4,3,2]] => ([(3,6),(4,5)],7) => ([(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) => ([(2,4),(2,6),(5,3),(6,5)],7)

[[5,4,3,3,3,2],[4,3,2,2,2]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(2,6),(3,4),(3,5)],7)

[[6,5,4,4,3,2],[5,4,3,3,2]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[5,4,3,2,2,2],[4,3,2,1,1]] => ([(3,6),(4,5),(5,6)],7) => ([(3,4),(3,5),(5,6)],7)

[[6,5,4,3,3,2],[5,4,3,2,2]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[6,5,4,3,2,2],[5,4,3,2,1]] => ([(4,6),(5,6)],7) => ([(4,5),(4,6)],7)

[[7,6,5,4,3,2],[6,5,4,3,2]] => ([(5,6)],7) => ([(5,6)],7)

[[1,1,1,1,1,1,1],[]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => ([(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) => ([(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) => ([(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) => ([(2,6),(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(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) => ([(3,6),(4,5)],7)

[[3,3,2,1,1,1,1],[2,2,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(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) => ([(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) => ([(3,6),(4,5)],7)

[[4,4,3,2,1,1,1],[3,3,2,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(3,6),(4,5)],7)

[[5,5,4,3,2,1,1],[4,4,3,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[6,6,5,4,3,2,1],[5,5,4,3,2,1]] => ([(5,6)],7) => ([(5,6)],7)

[[2,1,1,1,1,1,1],[1]] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => ([(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) => ([(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) => ([(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) => ([(3,4),(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) => ([(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) => ([(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) => ([(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) => ([(4,5),(5,6)],7)

[[3,2,2,1,1,1,1],[2,1,1]] => ([(1,6),(2,4),(5,3),(6,5)],7) => ([(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) => ([(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) => ([(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) => ([(3,6),(4,5)],7)

[[4,3,3,2,1,1,1],[3,2,2,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(3,6),(4,5)],7)

[[5,4,4,3,2,1,1],[4,3,3,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[6,5,5,4,3,2,1],[5,4,4,3,2,1]] => ([(5,6)],7) => ([(5,6)],7)

[[3,2,1,1,1,1,1],[2,1]] => ([(2,6),(4,5),(5,3),(6,4)],7) => ([(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) => ([(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) => ([(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) => ([(4,5),(5,6)],7)

[[4,3,2,2,1,1,1],[3,2,1,1]] => ([(2,4),(3,5),(5,6)],7) => ([(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) => ([(3,6),(4,5)],7)

[[5,4,3,3,2,1,1],[4,3,2,2,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[6,5,4,4,3,2,1],[5,4,3,3,2,1]] => ([(5,6)],7) => ([(5,6)],7)

[[4,3,2,1,1,1,1],[3,2,1]] => ([(3,4),(4,6),(6,5)],7) => ([(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) => ([(4,5),(5,6)],7)

[[5,4,3,2,2,1,1],[4,3,2,1,1]] => ([(3,6),(4,5)],7) => ([(3,6),(4,5)],7)

[[6,5,4,3,3,2,1],[5,4,3,2,2,1]] => ([(5,6)],7) => ([(5,6)],7)

[[5,4,3,2,1,1,1],[4,3,2,1]] => ([(4,5),(5,6)],7) => ([(4,5),(5,6)],7)

[[6,5,4,3,2,2,1],[5,4,3,2,1,1]] => ([(5,6)],7) => ([(5,6)],7)

[[6,5,4,3,2,1,1],[5,4,3,2,1]] => ([(5,6)],7) => ([(5,6)],7)

[[7,6,5,4,3,2,1],[6,5,4,3,2,1]] => ([],7) => ([],7)

[[8],[]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],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) => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)

[[6,2],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8) => ([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8)

[[5,3],[]] => ([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8) => ([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)

[[5,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => ([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],8)

[[4,4],[]] => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8) => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)

[[4,1,1,1,1],[]] => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8) => ([(0,5),(1,6),(2,7),(3,7),(4,3),(5,4),(6,2)],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) => ([(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) => ([(0,3),(1,4),(1,7),(2,6),(3,7),(4,2),(4,5),(5,6),(7,5)],8)

[[2,2,1,1,1,1],[]] => ([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8) => ([(0,5),(1,3),(1,7),(2,7),(3,6),(4,2),(5,4),(7,6)],8)

[[2,1,1,1,1,1,1],[]] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)

[[1,1,1,1,1,1,1,1],[]] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)

[[9],[]] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],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) => ([(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)

[[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) => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)

[[10],[]] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],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) => ([(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)

[[2,2,2,2,2],[]] => ([(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) => ([(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)

[[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) => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)

[[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) => ([(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],[]] => ([(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) => ([(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)

[[3,3,3,3],[]] => ([(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) => ([(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)

[[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) => ([(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)

[[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) => ([(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)

[[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) => ([(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],[]] => ([(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) => ([(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)

[[2,2,2,1,1,1,1],[1,1]] => ([(0,3),(1,6),(1,7),(3,7),(4,5),(5,2),(6,4)],8) => ([(0,5),(1,6),(1,7),(3,7),(4,3),(5,4),(6,2)],8)

[[3,2,1,1,1,1],[1]] => ([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],8) => ([(0,3),(1,6),(2,6),(2,7),(3,5),(4,7),(5,4)],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) => ([(0,5),(1,6),(1,7),(3,7),(4,2),(5,3),(6,4)],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) => ([(0,3),(1,6),(1,7),(3,7),(4,5),(5,2),(6,4)],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) => ([(0,6),(1,4),(1,6),(2,3),(2,7),(4,5),(5,7)],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) => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],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) => ([(0,6),(0,7),(1,3),(1,7),(4,5),(5,2),(6,4)],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) => ([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(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) => ([(0,4),(0,7),(1,3),(1,6),(2,5),(2,6),(5,7)],8)

[[6,5,2],[4,1]] => ([(0,6),(1,4),(1,6),(2,3),(2,7),(4,5),(5,7)],8) => ([(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) => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)

[[5,3,3,3],[2,2,2]] => ([(0,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3)],8) => ([(0,4),(1,5),(1,6),(3,7),(4,7),(5,2),(6,3)],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) => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)

[[7,4],[3]] => ([(0,5),(1,6),(1,7),(3,7),(4,2),(5,3),(6,4)],8) => ([(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) => ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)

[[6,6,6],[5,5]] => ([(0,6),(1,3),(2,7),(3,7),(4,5),(5,2),(6,4)],8) => ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)

[[7,7],[6]] => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8) => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)

[[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) => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],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) => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],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) => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],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) => ([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],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) => ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)

[[7,7,7],[6,6]] => ([(0,7),(1,3),(2,8),(3,8),(4,6),(5,4),(6,2),(7,5)],9) => ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)

[[8,8],[7]] => ([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9) => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)

[[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) => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],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) => ([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],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) => ([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],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) => ([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],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) => ([(0,8),(0,9),(3,7),(4,3),(5,6),(6,1),(7,2),(8,4),(9,5)],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) => ([(0,8),(0,9),(3,4),(4,6),(5,3),(6,2),(7,1),(8,7),(9,5)],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) => ([(0,8),(0,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,1)],10)

[[9,9],[8]] => ([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10) => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)

[[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) => ([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],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) => ([(0,3),(0,7),(1,4),(1,7),(2,6),(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) => ([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(7,6)],8)

[[5,4],[1]] => ([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],8) => ([(0,7),(1,4),(1,7),(3,2),(3,6),(4,3),(4,5),(5,6),(7,5)],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) => ([(0,3),(0,7),(1,4),(1,7),(3,5),(4,2),(4,6),(7,5),(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) => ([(0,3),(0,7),(1,4),(1,7),(2,6),(4,2),(4,5),(5,6),(7,5)],8)

[[6,4],[2]] => ([(0,5),(0,7),(1,3),(3,7),(4,2),(5,4),(5,6),(7,6)],8) => ([(0,5),(0,7),(1,3),(3,7),(4,2),(5,4),(5,6),(7,6)],8)

[[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) => ([(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)

[[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) => ([(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)

[[],[]] => ([],0) => ([],0)

[[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) => ([(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)

Map

cell poset

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.

Map

dual poset

Description

The dual of a poset.
The dual (or opposite) of a poset $(\mathcal P,\leq)$ is the poset $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.