Identifier
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00065: Permutations —permutation poset⟶ Posets
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00065: Permutations —permutation poset⟶ Posets
Images
[[1,2]] => [1,2] => [1,2] => ([(0,1)],2)
[[2,2]] => [1,2] => [1,2] => ([(0,1)],2)
[[1],[2]] => [2,1] => [2,1] => ([],2)
[[1,3]] => [1,2] => [1,2] => ([(0,1)],2)
[[2,3]] => [1,2] => [1,2] => ([(0,1)],2)
[[3,3]] => [1,2] => [1,2] => ([(0,1)],2)
[[1],[3]] => [2,1] => [2,1] => ([],2)
[[2],[3]] => [2,1] => [2,1] => ([],2)
[[1,1,2]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,2,2]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,2,2]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,1],[2]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,2],[2]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,4]] => [1,2] => [1,2] => ([(0,1)],2)
[[2,4]] => [1,2] => [1,2] => ([(0,1)],2)
[[3,4]] => [1,2] => [1,2] => ([(0,1)],2)
[[4,4]] => [1,2] => [1,2] => ([(0,1)],2)
[[1],[4]] => [2,1] => [2,1] => ([],2)
[[2],[4]] => [2,1] => [2,1] => ([],2)
[[3],[4]] => [2,1] => [2,1] => ([],2)
[[1,1,3]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,2,3]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,3,3]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,2,3]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,3,3]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,3,3]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,1],[3]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,2],[3]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,3],[2]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,3],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,2],[3]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,3],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1],[2],[3]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1,1,1,2]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,2,2]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,2,2]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,2,2]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,1],[2]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,2],[2]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,2,2],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,1],[2,2]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,5]] => [1,2] => [1,2] => ([(0,1)],2)
[[2,5]] => [1,2] => [1,2] => ([(0,1)],2)
[[3,5]] => [1,2] => [1,2] => ([(0,1)],2)
[[4,5]] => [1,2] => [1,2] => ([(0,1)],2)
[[5,5]] => [1,2] => [1,2] => ([(0,1)],2)
[[1],[5]] => [2,1] => [2,1] => ([],2)
[[2],[5]] => [2,1] => [2,1] => ([],2)
[[3],[5]] => [2,1] => [2,1] => ([],2)
[[4],[5]] => [2,1] => [2,1] => ([],2)
[[1,1,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,2,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,3,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,4,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,2,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,3,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,4,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,3,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,4,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,4,4]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,1],[4]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,2],[4]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,4],[2]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,3],[4]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,4],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,4],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,2],[4]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,3],[4]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,4],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,4],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,3],[4]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,4],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1],[2],[4]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[3],[4]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[3],[4]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1,1,1,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,2,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,3,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,2,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,3,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,3,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,2,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,3,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,3,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,3,3]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,1],[3]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,2],[3]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,3],[2]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,3],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,2,2],[3]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,3],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,3],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,3,3],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,3],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,2,2],[3]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,3],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,3,3],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,1],[2,3]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[3,3]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,2],[2,3]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[3,3]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
>>> Load all 2465 entries. <<<
[[2,2],[3,3]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[2],[3]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,2],[2],[3]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,3],[2],[3]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,1,1,2]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,2,2]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,2,2]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,2,2]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,2,2]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,1],[2]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,2],[2]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,2,2],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,2,2,2],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,1,1],[2,2]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,2],[2,2]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,6]] => [1,2] => [1,2] => ([(0,1)],2)
[[2,6]] => [1,2] => [1,2] => ([(0,1)],2)
[[3,6]] => [1,2] => [1,2] => ([(0,1)],2)
[[4,6]] => [1,2] => [1,2] => ([(0,1)],2)
[[5,6]] => [1,2] => [1,2] => ([(0,1)],2)
[[6,6]] => [1,2] => [1,2] => ([(0,1)],2)
[[1],[6]] => [2,1] => [2,1] => ([],2)
[[2],[6]] => [2,1] => [2,1] => ([],2)
[[3],[6]] => [2,1] => [2,1] => ([],2)
[[4],[6]] => [2,1] => [2,1] => ([],2)
[[5],[6]] => [2,1] => [2,1] => ([],2)
[[1,1,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,2,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,3,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,4,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,5,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,2,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,3,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,4,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,5,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,3,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,4,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,5,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,4,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,5,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[5,5,5]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,1],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,2],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,5],[2]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,3],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,5],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,4],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,5],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,5],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,2],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,3],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,5],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,4],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,5],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,5],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,3],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,4],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,5],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,5],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[4,4],[5]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[4,5],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1],[2],[5]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[3],[5]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[4],[5]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[3],[5]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[4],[5]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[3],[4],[5]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1,1,1,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,2,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,3,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,2,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,3,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,3,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,4,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,2,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,3,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,3,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,4,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,3,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,4,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,4,4,4]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,1],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,2],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,4],[2]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,3],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,4],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,4],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,2,2],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,4],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,3],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,4],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,3,4],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,4],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,4,4],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,3],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,3,4],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,4],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,4,4],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,4,4],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,2,2],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,3],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,4],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,2,4],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,3,3],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,3,4],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,3,4],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,4,4],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,4,4],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,3,3],[4]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,3,4],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,4,4],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,1],[2,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[3,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[4,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,2],[2,4]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[3,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,3],[2,4]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[4,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,3],[3,4]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,3],[4,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,2],[3,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,2],[4,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,3],[3,4]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,3],[4,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,3],[4,4]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[2],[4]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,1],[3],[4]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,2],[2],[4]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,2],[3],[4]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,3],[2],[4]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,4],[2],[3]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,4],[2],[4]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,3],[3],[4]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,4],[3],[4]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,2],[3],[4]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,3],[3],[4]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,4],[3],[4]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1],[2],[3],[4]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1,1,1,1,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,2,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,2,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,2,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,2,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,3,3,3]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,1],[3]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,2],[3]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,3],[2]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,1,3],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,2,2],[3]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,2,3],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,2,3],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,3,3],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,3,3],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,2,2,2],[3]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,2,3],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,2,3],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,3,3],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,3,3],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,3,3,3],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,3,3],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,2,2,2],[3]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,2,3],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,3,3],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,3,3,3],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,1,1],[2,3]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,1],[3,3]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,2],[2,3]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,3],[2,2]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,2],[3,3]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,3],[2,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,3],[3,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,2],[2,3]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,2,2],[3,3]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,3],[2,3]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,3],[3,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,2],[3,3]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,3],[3,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,1],[2],[3]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,2],[2],[3]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,3],[2],[3]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,2],[2],[3]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,2,3],[2],[3]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,3],[2],[3]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1],[2,2],[3]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[2,3],[3]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,2],[2,3],[3]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,1,1,1,1,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,2,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,2,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,2,2,2]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,1],[2]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,1,2],[2]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,2,2],[2]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,2,2,2],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,2,2,2,2],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,1,1,1],[2,2]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,2],[2,2]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,2,2],[2,2]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,1],[2,2,2]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,7]] => [1,2] => [1,2] => ([(0,1)],2)
[[2,7]] => [1,2] => [1,2] => ([(0,1)],2)
[[3,7]] => [1,2] => [1,2] => ([(0,1)],2)
[[4,7]] => [1,2] => [1,2] => ([(0,1)],2)
[[5,7]] => [1,2] => [1,2] => ([(0,1)],2)
[[6,7]] => [1,2] => [1,2] => ([(0,1)],2)
[[7,7]] => [1,2] => [1,2] => ([(0,1)],2)
[[1],[7]] => [2,1] => [2,1] => ([],2)
[[2],[7]] => [2,1] => [2,1] => ([],2)
[[3],[7]] => [2,1] => [2,1] => ([],2)
[[4],[7]] => [2,1] => [2,1] => ([],2)
[[5],[7]] => [2,1] => [2,1] => ([],2)
[[6],[7]] => [2,1] => [2,1] => ([],2)
[[1,1,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,2,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,3,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,4,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,5,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,6,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,2,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,3,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,4,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,5,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,6,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,3,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,4,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,5,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,6,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,4,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,5,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,6,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[5,5,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[5,6,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[6,6,6]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,1],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,2],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,6],[2]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,3],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,6],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,4],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,6],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,5],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,6],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,6],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,2],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,3],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,6],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,4],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,6],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,5],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,6],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,6],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,3],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,4],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,6],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,5],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,6],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,6],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[4,4],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[4,5],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[4,6],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[4,6],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[5,5],[6]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[5,6],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1],[2],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[3],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[4],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[5],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[3],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[4],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[5],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[3],[4],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[3],[5],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[4],[5],[6]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1,1,1,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,2,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,3,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,2,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,3,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,3,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,4,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,4,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,5,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,2,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,3,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,3,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,4,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,4,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,5,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,3,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,4,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,4,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,5,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,4,4,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,4,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,5,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[5,5,5,5]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,1],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,2],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,5],[2]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,3],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,5],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,5],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,2,2],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,5],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,3],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,5],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,3,5],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,5],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,4,5],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,5,5],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,3],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,3,5],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,3,5],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,4,5],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,5,5],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,4,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,4,5],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,4,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,5,5],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,5,5],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,2,2],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,3],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,5],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,2,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,5],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,2,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,3,3],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,3,5],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,3,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,3,5],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,4,5],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,3,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,5,5],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,4,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,4,5],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,4,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,5,5],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,5,5],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,3,3],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,3,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,3,5],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,3,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,4,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,4,5],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,4,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,5,5],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,5,5],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[4,4,4],[5]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[4,4,5],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[4,5,5],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,1],[2,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[3,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[4,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,2],[2,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[3,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,3],[2,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[4,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,4],[2,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,3],[3,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,3],[4,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,4],[3,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,3],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,4],[4,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,4],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,2],[3,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,2],[4,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,2],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,3],[3,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,3],[4,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,4],[3,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,3],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,4],[4,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,4],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,3],[4,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,3],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,4],[4,5]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[3,4],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[4,4],[5,5]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[2],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,1],[3],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,1],[4],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,2],[2],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,2],[3],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,3],[2],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,5],[2],[3]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,2],[4],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,4],[2],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,5],[2],[4]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,5],[2],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,3],[3],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,3],[4],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,4],[3],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,5],[3],[4]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,5],[3],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,4],[4],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,5],[4],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,2],[3],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,2],[4],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,3],[3],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,3],[4],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,4],[3],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,5],[3],[4]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,5],[3],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,4],[4],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,5],[4],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[3,3],[4],[5]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[3,4],[4],[5]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[3,5],[4],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1],[2],[3],[5]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1],[2],[4],[5]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1],[3],[4],[5]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[2],[3],[4],[5]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1,1,1,1,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,2,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,2,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,2,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,4,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,2,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,4,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,3,3,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,3,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,4,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[4,4,4,4,4]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,1],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,2],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,4],[2]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,1,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,4],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,1,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,2,2],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,2,4],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,2,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,2,4],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,3,4],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,2,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,4,4],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,3,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,3,4],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,3,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,4,4],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,4,4],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,2,2,2],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,2,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,2,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,2,4],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,3,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,2,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,4,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,3,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,3,4],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,3,3,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,3,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,4,4],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,3,4,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,4,4],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,4,4,4],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,3,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,3,3,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,3,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,3,4,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,4,4],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,4,4,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,4,4,4],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,2,2,2],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,2,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,2,4],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,2,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,3,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,3,4],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,2,3,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,4,4],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,2,4,4],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,3,3,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,3,3,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,3,3,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,3,4,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,3,4,4],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,4,4,4],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,4,4,4],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[3,3,3,3],[4]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[3,3,3,4],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[3,3,4,4],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[3,4,4,4],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,1,1],[2,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,1],[3,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,1],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,2],[2,4]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,4],[2,2]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,2],[3,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,3],[2,4]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,4],[2,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,2],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,4],[2,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,3],[3,4]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,4],[3,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,3],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,4],[3,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,4],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,2],[2,4]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,2,2],[3,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,3],[2,4]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,2,4],[2,3]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,2],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,4],[2,4]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,3],[3,4]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,4],[3,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,3],[2,4]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,2,3],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,4],[3,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,4],[2,4]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,4],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,3],[3,4]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,3,3],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,3,4],[3,4]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,3,4],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,2],[3,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,2],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,3],[3,4]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,4],[3,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,3],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,4],[3,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,4],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,3,3],[3,4]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[2,3,3],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,3,4],[3,4]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[2,3,4],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[3,3,3],[4,4]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[3,3,4],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,1],[2],[4]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,1],[3],[4]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,2],[2],[4]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,2],[3],[4]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,3],[2],[4]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,4],[2],[3]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,4],[2],[4]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,3],[3],[4]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,4],[3],[4]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,2],[2],[4]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,2,2],[3],[4]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,2,3],[2],[4]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,2,4],[2],[3]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,4],[2],[4]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,3],[3],[4]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,3,3],[2],[4]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,3,4],[2],[3]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,2,4],[3],[4]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,4],[2],[4]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,4],[2],[3]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,4,4],[2],[4]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,3,3],[3],[4]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,3,4],[3],[4]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,4],[3],[4]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,2,2],[3],[4]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[2,2,3],[3],[4]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[2,2,4],[3],[4]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,3,3],[3],[4]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[2,3,4],[3],[4]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,4,4],[3],[4]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1],[2,2],[4]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[2,3],[4]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[2,4],[3]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,1],[2,4],[4]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,1],[3,3],[4]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[3,4],[4]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,2],[2,3],[4]] => [5,2,4,1,3] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5)
[[1,2],[2,4],[3]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,2],[2,4],[4]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,2],[3,3],[4]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,3],[2,4],[3]] => [3,2,5,1,4] => [5,3,2,1,4] => ([(1,4),(2,4),(3,4)],5)
[[1,2],[3,4],[4]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,3],[2,4],[4]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,3],[3,4],[4]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[2,2],[3,3],[4]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[2,2],[3,4],[4]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[2,3],[3,4],[4]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,1],[2],[3],[4]] => [5,4,3,1,2] => [3,1,4,5,2] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,2],[2],[3],[4]] => [5,4,2,1,3] => [2,4,1,5,3] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,3],[2],[3],[4]] => [5,3,2,1,4] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,4],[2],[3],[4]] => [4,3,2,1,5] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,1,1,1,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,2,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,2,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,2,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,2,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,3,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,2,2,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,2,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,3,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[3,3,3,3,3,3]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,1],[3]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,1,2],[3]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,1,3],[2]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,1,3],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,2,2],[3]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,2,3],[2]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,1,2,3],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,3,3],[2]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,1,3,3],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,2,2,2],[3]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,2,2,3],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,2,2,3],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,2,3,3],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,2,3,3],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,3,3,3],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,3,3,3],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,2,2,2,2],[3]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,2,2,2,3],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,2,2,3],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,2,2,3,3],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,2,3,3],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,2,3,3,3],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,3,3,3],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,3,3,3,3],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,3,3,3,3],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[2,2,2,2,2],[3]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[2,2,2,2,3],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[2,2,2,3,3],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[2,2,3,3,3],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[2,3,3,3,3],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,1,1,1],[2,3]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,1],[3,3]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,2],[2,3]] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,3],[2,2]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,2],[3,3]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,3],[2,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,3],[3,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,2,2],[2,3]] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,3],[2,2]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,2],[3,3]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,2,3],[2,3]] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,3,3],[2,2]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,3],[3,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,3,3],[2,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,3,3],[3,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,2,2,2],[2,3]] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[[1,2,2,2],[3,3]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,2,2,3],[2,3]] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[1,2,2,3],[3,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,2,3,3],[2,3]] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[1,2,3,3],[3,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[2,2,2,2],[3,3]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[2,2,2,3],[3,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[2,2,3,3],[3,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,1,1],[2],[3]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[1,1,1,2],[2],[3]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[[1,1,1,3],[2],[3]] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[1,1,2,2],[2],[3]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[[1,1,2,3],[2],[3]] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[1,1,3,3],[2],[3]] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,2,2,2],[2],[3]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[1,2,2,3],[2],[3]] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[1,2,3,3],[2],[3]] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,3,3,3],[2],[3]] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,1],[2,2,3]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,1],[2,3,3]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,1],[3,3,3]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,2],[2,2,3]] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[[1,1,2],[2,3,3]] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,1,2],[3,3,3]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,2,2],[2,3,3]] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6)
[[1,2,2],[3,3,3]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[2,2,2],[3,3,3]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,1],[2,2],[3]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[[1,1,1],[2,3],[3]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6)
[[1,1,2],[2,2],[3]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[[1,1,2],[2,3],[3]] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[1,1,3],[2,2],[3]] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,1,3],[2,3],[3]] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,2,2],[2,3],[3]] => [5,2,6,1,3,4] => [6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,3],[2,3],[3]] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[1,1],[2,2],[3,3]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[[1,1,1,1,1,1,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,1,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,2,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,2,2,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,2,2,2,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,2,2,2,2,2]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,1,1],[2]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[1,1,1,1,1,2],[2]] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[1,1,1,1,2,2],[2]] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[1,1,1,2,2,2],[2]] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[1,1,2,2,2,2],[2]] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[1,2,2,2,2,2],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[1,1,1,1,1],[2,2]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[[1,1,1,1,2],[2,2]] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[[1,1,1,2,2],[2,2]] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[[1,1,2,2,2],[2,2]] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[[1,1,1,1],[2,2,2]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[[1,1,1,2],[2,2,2]] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[[1,8]] => [1,2] => [1,2] => ([(0,1)],2)
[[2,8]] => [1,2] => [1,2] => ([(0,1)],2)
[[3,8]] => [1,2] => [1,2] => ([(0,1)],2)
[[4,8]] => [1,2] => [1,2] => ([(0,1)],2)
[[5,8]] => [1,2] => [1,2] => ([(0,1)],2)
[[6,8]] => [1,2] => [1,2] => ([(0,1)],2)
[[7,8]] => [1,2] => [1,2] => ([(0,1)],2)
[[8,8]] => [1,2] => [1,2] => ([(0,1)],2)
[[1],[8]] => [2,1] => [2,1] => ([],2)
[[2],[8]] => [2,1] => [2,1] => ([],2)
[[3],[8]] => [2,1] => [2,1] => ([],2)
[[4],[8]] => [2,1] => [2,1] => ([],2)
[[5],[8]] => [2,1] => [2,1] => ([],2)
[[6],[8]] => [2,1] => [2,1] => ([],2)
[[7],[8]] => [2,1] => [2,1] => ([],2)
[[1,1,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,2,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,3,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,4,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,5,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,6,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,7,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,2,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,3,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,4,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,5,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,6,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[2,7,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,3,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,4,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,5,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,6,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[3,7,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,4,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,5,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,6,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4,7,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[5,5,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[5,6,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[5,7,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[6,6,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[6,7,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[7,7,7]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[1,1],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,2],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,7],[2]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,3],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,7],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,4],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,7],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,5],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,7],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,6],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[1,7],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1,7],[7]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,2],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,3],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,7],[3]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,4],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,7],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,5],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,7],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,6],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[2,7],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[2,7],[7]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,3],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,4],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,7],[4]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,5],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,7],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,6],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[3,7],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[3,7],[7]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[4,4],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[4,5],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[4,7],[5]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[4,6],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[4,7],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[4,7],[7]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[5,5],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[5,6],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[5,7],[6]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[5,7],[7]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[6,6],[7]] => [3,1,2] => [3,1,2] => ([(1,2)],3)
[[6,7],[7]] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[1],[2],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[3],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[4],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[5],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1],[6],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[3],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[4],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[5],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[2],[6],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[3],[4],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[3],[5],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[3],[6],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[4],[5],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[4],[6],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[5],[6],[7]] => [3,2,1] => [2,3,1] => ([(1,2)],3)
[[1,1,1,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,2,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,3,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,2,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,3,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,2,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,3,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,3,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,4,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,4,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,4,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,5,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,5,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,6,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,2,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,3,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,2,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,3,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,3,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,4,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,4,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,4,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,5,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,5,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[2,6,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,3,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,3,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,4,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,4,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,4,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,5,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,5,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[3,6,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,4,4,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,4,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,4,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,5,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,5,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[4,6,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[5,5,5,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[5,5,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[5,6,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[6,6,6,6]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[1,1,1],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,2],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,6],[2]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,3],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,6],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,6],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,1,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,1,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,2,2],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,6],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,3],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,6],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,3,6],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,6],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,4,6],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,2,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,5,6],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,2,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,6,6],[2]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,3],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,3,6],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,3,6],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,4,6],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,3,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,5,6],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,3,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,6,6],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,4,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,4,6],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,4,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,4,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,5,6],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,4,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,6,6],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,5,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[1,5,6],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,5,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[1,6,6],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,2,2],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,3],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,6],[3]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,2,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,6],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,2,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,2,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,2,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,3,3],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,3,6],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,3,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,3,6],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,4,6],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,3,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,3,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,5,6],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,3,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,6,6],[3]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,4,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,4,6],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,4,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,4,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,5,6],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,4,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,6,6],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,5,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[2,5,6],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,5,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[2,6,6],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[2,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,3,3],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,3,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,3,6],[4]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,3,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,3,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,3,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,4,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,4,6],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,4,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,4,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,5,6],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,4,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,6,6],[4]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,5,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[3,5,6],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,5,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[3,6,6],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[3,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[4,4,4],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[4,4,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[4,4,6],[5]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[4,4,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[4,5,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[4,5,6],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[4,5,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[4,6,6],[5]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[4,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[5,5,5],[6]] => [4,1,2,3] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[5,5,6],[6]] => [3,1,2,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[5,6,6],[6]] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[1,1],[2,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[3,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[4,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,2],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[3,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,3],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[4,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,4],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,5],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,2],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,3],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,3],[4,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,4],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,3],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,5],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,3],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,4],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,4],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,5],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,4],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[1,5],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,2],[3,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,2],[4,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,2],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,2],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,3],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,3],[4,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,4],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,3],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,5],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,3],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,4],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,4],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,5],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,4],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[2,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[2,5],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,3],[4,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,3],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,3],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,4],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[3,4],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,5],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[3,4],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[3,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[3,5],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[4,4],[5,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[4,4],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[4,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(1,3),(2,3)],4)
[[4,5],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[5,5],[6,6]] => [3,4,1,2] => [4,1,3,2] => ([(1,2),(1,3)],4)
[[1,1],[2],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,1],[3],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,1],[4],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,1],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,2],[2],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,2],[3],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,3],[2],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,6],[2],[3]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,2],[4],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,4],[2],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,6],[2],[4]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,2],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,5],[2],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,6],[2],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,6],[2],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,3],[3],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,3],[4],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,4],[3],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,6],[3],[4]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,3],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,5],[3],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,6],[3],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,6],[3],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,4],[4],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,4],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[1,5],[4],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,6],[4],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,6],[4],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1,5],[5],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[1,6],[5],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,2],[3],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,2],[4],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,2],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,3],[3],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,3],[4],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,4],[3],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,6],[3],[4]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,3],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,5],[3],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,6],[3],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,6],[3],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,4],[4],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,4],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[2,5],[4],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,6],[4],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,6],[4],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[2,5],[5],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[2,6],[5],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[3,3],[4],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[3,3],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[3,4],[4],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[3,4],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[3,5],[4],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[3,6],[4],[5]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[3,6],[4],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[3,5],[5],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[3,6],[5],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[4,4],[5],[6]] => [4,3,1,2] => [3,1,4,2] => ([(0,3),(1,2),(1,3)],4)
[[4,5],[5],[6]] => [4,2,1,3] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[4,6],[5],[6]] => [3,2,1,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[1],[2],[3],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1],[2],[4],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1],[2],[5],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1],[3],[4],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1],[3],[5],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1],[4],[5],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[2],[3],[4],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[2],[3],[5],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[2],[4],[5],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[3],[4],[5],[6]] => [4,3,2,1] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[1,1,1,1,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,2,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,2,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,2,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,2,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,2,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,2,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,3,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,4,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,4,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,4,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,2,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,2,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,2,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,3,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,4,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,4,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,4,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[2,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,3,3,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,3,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,3,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,3,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,4,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,4,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,4,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[3,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[4,4,4,4,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[4,4,4,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[4,4,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[4,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[5,5,5,5,5]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[1,1,1,1],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,2],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,5],[2]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,1,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,5],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,1,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,1,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,2,2],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,2,5],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,2,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,2,5],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,3,5],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,2,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,2,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,4,5],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,2,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,5,5],[2]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,3,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,3,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,3,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,3,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,4,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,3,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,5,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,1,4,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,1,5,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,2,2,2],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,2,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,2,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,2,5],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,3,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,2,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,2,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,4,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,2,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,5,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,3,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,3,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,3,3,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,3,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,3,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,4,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,3,4,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,3,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,5,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,3,5,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,2,4,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,4,4,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,2,5,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,4,5,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,2,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,5,5,5],[2]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,3,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,3,3,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,3,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,3,3,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,3,4,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,3,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,3,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,3,4,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,4,4,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,3,5,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,4,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,3,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,5,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,4,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[1,4,4,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,4,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,4,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,4,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,5,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,5,5,5],[5]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,2,2,2],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,2,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,2,5],[3]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,2,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,2,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,2,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,3,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,3,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,2,3,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,3,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,4,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,2,3,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,5,5],[3]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,2,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,2,4,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,2,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2,5,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,2,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,3,3,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,3,3,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,3,3,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,3,3,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,3,4,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,3,3,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,3,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,3,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,3,4,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,4,4,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,3,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,3,5,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,4,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,3,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,5,5,5],[3]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,4,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[2,4,4,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,4,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,4,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,4,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,5,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[2,5,5,5],[5]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[3,3,3,3],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[3,3,3,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[3,3,3,5],[4]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[3,3,3,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[3,3,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[3,3,4,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[3,3,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[3,3,5,5],[4]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[3,3,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[3,4,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[3,4,4,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[3,4,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[3,4,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[3,4,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[3,5,5,5],[4]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[3,5,5,5],[5]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[4,4,4,4],[5]] => [5,1,2,3,4] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[4,4,4,5],[5]] => [4,1,2,3,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[4,4,5,5],[5]] => [3,1,2,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[4,5,5,5],[5]] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[1,1,1],[2,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,1],[3,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,1],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,1],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,2],[2,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,5],[2,2]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,2],[3,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,3],[2,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,5],[2,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,2],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,4],[2,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,5],[2,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,2],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,5],[2,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,3],[3,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,5],[3,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,3],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,4],[3,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,5],[3,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,3],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,5],[3,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,4],[4,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,5],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,1,5],[4,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,2],[2,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,2,2],[3,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,3],[2,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,2,5],[2,3]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,2],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,4],[2,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,2,5],[2,4]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,2],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,5],[2,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,3],[3,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,5],[3,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,3],[2,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,2,3],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,4],[3,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,5],[3,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,4],[2,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,3,5],[2,4]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,3],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,5],[3,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,5],[2,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,4],[4,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,5],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,4],[2,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,2,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,2,5],[4,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,5],[2,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,2,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,3],[3,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,3,3],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,3,4],[3,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,3,5],[3,4]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,3,3],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,3,5],[3,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,3,4],[4,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,5],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,4],[3,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,3,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,3,5],[4,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,5],[3,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,3,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,4],[4,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[1,4,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[1,4,5],[4,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[1,4,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,2],[3,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,2],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,2],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,3],[3,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,5],[3,3]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,3],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,4],[3,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,5],[3,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,3],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,5],[3,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,4],[4,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,5],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,2,5],[4,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,3,3],[3,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[2,3,3],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,3,4],[3,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[2,3,5],[3,4]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[2,3,3],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,3,5],[3,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[2,3,4],[4,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[2,3,5],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,4,4],[3,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[2,3,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,3,5],[4,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,4,5],[3,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[2,3,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[2,4,4],[4,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[2,4,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[2,4,5],[4,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[2,4,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[3,3,3],[4,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[3,3,3],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[3,3,4],[4,5]] => [3,5,1,2,4] => [5,1,3,2,4] => ([(1,2),(1,3),(2,4),(3,4)],5)
[[3,3,5],[4,4]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[3,3,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[3,3,5],[4,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[3,3,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[3,4,4],[4,5]] => [2,5,1,3,4] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[[3,4,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[3,4,5],[4,5]] => [2,4,1,3,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[3,4,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[4,4,4],[5,5]] => [4,5,1,2,3] => [5,1,2,4,3] => ([(1,4),(4,2),(4,3)],5)
[[4,4,5],[5,5]] => [3,4,1,2,5] => [4,1,3,2,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,1],[2],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,1],[3],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,1],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,2],[2],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,2],[3],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,3],[2],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,5],[2],[3]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,2],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,4],[2],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,5],[2],[4]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,5],[2],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,3],[3],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,3],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,1,4],[3],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,5],[3],[4]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,5],[3],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,1,4],[4],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,1,5],[4],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,2],[2],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,2,2],[3],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,2,3],[2],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,2,5],[2],[3]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,2],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,2,4],[2],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,2,5],[2],[4]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,5],[2],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,3],[3],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,3,3],[2],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,3,5],[2],[3]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,2,3],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,2,4],[3],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,2,5],[3],[4]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,4],[2],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,3,5],[2],[4]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,5],[2],[3]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,2,5],[3],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,5],[2],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,5,5],[2],[3]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,2,4],[4],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,4,4],[2],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,4,5],[2],[4]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,2,5],[4],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,5],[2],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,5,5],[2],[4]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,5,5],[2],[5]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,3,3],[3],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,3,3],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,3,4],[3],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,3,5],[3],[4]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,5],[3],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,3,4],[4],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,4,4],[3],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,4,5],[3],[4]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,3,5],[4],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,4,5],[3],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,5,5],[3],[4]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,5,5],[3],[5]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,4,4],[4],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,4,5],[4],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[1,5,5],[4],[5]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,2,2],[3],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[2,2,2],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[2,2,3],[3],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[2,2,3],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[2,2,4],[3],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[2,2,5],[3],[4]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,5],[3],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,2,4],[4],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[2,2,5],[4],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,3,3],[3],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[2,3,3],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[2,3,4],[3],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[2,3,5],[3],[4]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,3,5],[3],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,3,4],[4],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[2,4,4],[3],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[2,4,5],[3],[4]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,3,5],[4],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,4,5],[3],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,5,5],[3],[4]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,5,5],[3],[5]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[2,4,4],[4],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[2,4,5],[4],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[2,5,5],[4],[5]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[3,3,3],[4],[5]] => [5,4,1,2,3] => [4,1,2,5,3] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[3,3,4],[4],[5]] => [5,3,1,2,4] => [3,1,5,2,4] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[3,3,5],[4],[5]] => [4,3,1,2,5] => [3,1,4,2,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[3,4,4],[4],[5]] => [5,2,1,3,4] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[3,4,5],[4],[5]] => [4,2,1,3,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[3,5,5],[4],[5]] => [3,2,1,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[1,1],[2,2],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[2,3],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[2,5],[3]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,1],[2,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[2,5],[4]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,1],[2,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,1],[3,3],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[3,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[3,5],[4]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,1],[3,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,1],[4,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,1],[4,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,2],[2,3],[5]] => [5,2,4,1,3] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5)
[[1,2],[2,5],[3]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,2],[2,4],[5]] => [5,2,4,1,3] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5)
[[1,2],[2,5],[4]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,2],[2,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,2],[3,3],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,3],[2,5],[3]] => [3,2,5,1,4] => [5,3,2,1,4] => ([(1,4),(2,4),(3,4)],5)
[[1,2],[3,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,2],[3,5],[4]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,3],[2,4],[5]] => [5,2,4,1,3] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5)
[[1,3],[2,5],[4]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,4],[2,5],[3]] => [3,2,5,1,4] => [5,3,2,1,4] => ([(1,4),(2,4),(3,4)],5)
[[1,2],[3,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,3],[2,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,2],[4,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,4],[2,5],[4]] => [3,2,5,1,4] => [5,3,2,1,4] => ([(1,4),(2,4),(3,4)],5)
[[1,2],[4,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,4],[2,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,3],[3,4],[5]] => [5,2,4,1,3] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5)
[[1,3],[3,5],[4]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,3],[3,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,3],[4,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[1,4],[3,5],[4]] => [3,2,5,1,4] => [5,3,2,1,4] => ([(1,4),(2,4),(3,4)],5)
[[1,3],[4,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[1,4],[3,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,4],[4,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[2,2],[3,3],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[2,2],[3,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[2,2],[3,5],[4]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[2,2],[3,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[2,2],[4,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[2,2],[4,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[2,3],[3,4],[5]] => [5,2,4,1,3] => [4,5,1,2,3] => ([(0,3),(1,4),(4,2)],5)
[[2,3],[3,5],[4]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[2,3],[3,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[2,3],[4,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[2,4],[3,5],[4]] => [3,2,5,1,4] => [5,3,2,1,4] => ([(1,4),(2,4),(3,4)],5)
[[2,3],[4,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[2,4],[3,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[2,4],[4,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[3,3],[4,4],[5]] => [5,3,4,1,2] => [4,1,5,3,2] => ([(0,4),(1,2),(1,3),(1,4)],5)
[[3,3],[4,5],[5]] => [4,3,5,1,2] => [5,1,4,3,2] => ([(1,2),(1,3),(1,4)],5)
[[3,4],[4,5],[5]] => [4,2,5,1,3] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[[1,1],[2],[3],[5]] => [5,4,3,1,2] => [3,1,4,5,2] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,1],[2],[4],[5]] => [5,4,3,1,2] => [3,1,4,5,2] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,1],[3],[4],[5]] => [5,4,3,1,2] => [3,1,4,5,2] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,2],[2],[3],[5]] => [5,4,2,1,3] => [2,4,1,5,3] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,2],[2],[4],[5]] => [5,4,2,1,3] => [2,4,1,5,3] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,3],[2],[3],[5]] => [5,3,2,1,4] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,2],[3],[4],[5]] => [5,4,3,1,2] => [3,1,4,5,2] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[1,3],[2],[4],[5]] => [5,4,2,1,3] => [2,4,1,5,3] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,4],[2],[3],[5]] => [5,3,2,1,4] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,5],[2],[3],[4]] => [4,3,2,1,5] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,5],[2],[3],[5]] => [4,3,2,1,5] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,4],[2],[4],[5]] => [5,3,2,1,4] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,5],[2],[4],[5]] => [4,3,2,1,5] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1,3],[3],[4],[5]] => [5,4,2,1,3] => [2,4,1,5,3] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[1,4],[3],[4],[5]] => [5,3,2,1,4] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[1,5],[3],[4],[5]] => [4,3,2,1,5] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[2,2],[3],[4],[5]] => [5,4,3,1,2] => [3,1,4,5,2] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[2,3],[3],[4],[5]] => [5,4,2,1,3] => [2,4,1,5,3] => ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)
[[2,4],[3],[4],[5]] => [5,3,2,1,4] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[2,5],[3],[4],[5]] => [4,3,2,1,5] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5)
[[1,1,1,1,1,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,2,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,2,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,2,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,2,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,2,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,2,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,2,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,2,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,2,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,3,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,3,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,3,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,3,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,4,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,2,2,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,2,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,2,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,2,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,2,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,3,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,3,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,3,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,3,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[2,4,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[3,3,3,3,3,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[3,3,3,3,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[3,3,3,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[3,3,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[3,4,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[4,4,4,4,4,4]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,1,1,1,1],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,1,2],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,1,4],[2]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,1,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,1,4],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,1,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,2,2],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,2,4],[2]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,1,2,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,2,4],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,3,4],[2]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,1,2,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,4,4],[2]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,1,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,3,4],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,1,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,1,4,4],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,1,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,2,2,2],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,2,2,4],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,2,2,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,2,2,4],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,2,3,4],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,2,2,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,2,4,4],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,2,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,2,3,4],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,3,3,4],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,2,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,2,4,4],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,3,4,4],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,2,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,4,4,4],[2]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,3,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,3,3,4],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,3,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,1,3,4,4],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,3,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1,4,4,4],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,4,4,4],[4]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,2,2,2,2],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,2,2,2,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,2,2,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,2,2,2,4],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,2,2,3,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,2,2,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,2,2,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,2,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,2,2,3,4],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,2,3,3,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,2,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,2,2,4,4],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,2,3,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,2,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,2,4,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,3,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,2,3,3,4],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,3,3,3,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,3,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,2,3,4,4],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,3,3,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,3,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,2,4,4,4],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,3,4,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,2,4,4,4],[4]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,4,4,4,4],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,3,3,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,3,3,3,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,3,3,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,3,3,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,3,3,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,3,4,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,3,4,4,4],[4]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,4,4,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,4,4,4,4],[4]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[2,2,2,2,2],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[2,2,2,2,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[2,2,2,2,4],[3]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[2,2,2,2,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[2,2,2,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[2,2,2,3,4],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[2,2,2,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[2,2,2,4,4],[3]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[2,2,2,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[2,2,3,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[2,2,3,3,4],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[2,2,3,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[2,2,3,4,4],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[2,2,3,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[2,2,4,4,4],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[2,2,4,4,4],[4]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[2,3,3,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[2,3,3,3,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[2,3,3,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[2,3,3,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[2,3,3,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[2,3,4,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[2,3,4,4,4],[4]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[2,4,4,4,4],[3]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[2,4,4,4,4],[4]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[3,3,3,3,3],[4]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[3,3,3,3,4],[4]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[3,3,3,4,4],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[3,3,4,4,4],[4]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[3,4,4,4,4],[4]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,1,1,1],[2,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,1],[3,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,1],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,2],[2,4]] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,4],[2,2]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,2],[3,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,3],[2,4]] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,4],[2,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,2],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,4],[2,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,3],[3,4]] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,4],[3,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,1,4],[3,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,1,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,2,2],[2,4]] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,4],[2,2]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,2],[3,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,2,3],[2,4]] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,4],[2,3]] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,3,4],[2,2]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,2],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,2,4],[2,4]] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,4,4],[2,2]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,3],[3,4]] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,2,4],[3,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,3,3],[2,4]] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,3,4],[2,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,2,4],[3,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,3,4],[2,4]] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,4,4],[2,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,2,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,4,4],[2,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,3,3],[3,4]] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,3,4],[3,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,3,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,1,3,4],[3,4]] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,4,4],[3,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,3,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,1,4,4],[3,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,4,4],[4,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,2,2,2],[2,4]] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[[1,2,2,2],[3,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,2,2,3],[2,4]] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[[1,2,2,4],[2,3]] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[1,2,2,2],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,2,2,4],[2,4]] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[1,2,2,3],[3,4]] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,2,2,4],[3,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,2,3,3],[2,4]] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[[1,2,3,4],[2,3]] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[1,2,2,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,2,2,4],[3,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,2,3,4],[2,4]] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[1,2,4,4],[2,3]] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[1,2,2,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,2,4,4],[2,4]] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[1,2,3,3],[3,4]] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,2,3,4],[3,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,3,3,3],[2,4]] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[[1,2,3,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,2,3,4],[3,4]] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,2,4,4],[3,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,3,3,4],[2,4]] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[1,2,3,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,2,4,4],[3,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,3,4,4],[2,4]] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[1,2,4,4],[4,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,3,3,3],[3,4]] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[[1,3,3,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,3,3,4],[3,4]] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[1,3,3,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,3,4,4],[3,4]] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[1,3,4,4],[4,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[2,2,2,2],[3,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[2,2,2,2],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[2,2,2,3],[3,4]] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[2,2,2,4],[3,3]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[2,2,2,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[2,2,2,4],[3,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[2,2,2,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[2,2,3,3],[3,4]] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[2,2,3,4],[3,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[2,2,3,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[2,2,3,4],[3,4]] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[2,2,4,4],[3,3]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[2,2,3,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[2,2,4,4],[3,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[2,2,4,4],[4,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[2,3,3,3],[3,4]] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[[2,3,3,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[2,3,3,4],[3,4]] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[2,3,3,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[2,3,4,4],[3,4]] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[2,3,4,4],[4,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[3,3,3,3],[4,4]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[3,3,3,4],[4,4]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[3,3,4,4],[4,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,1,1,1],[2],[4]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[1,1,1,1],[3],[4]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[1,1,1,2],[2],[4]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[[1,1,1,2],[3],[4]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[1,1,1,3],[2],[4]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[[1,1,1,4],[2],[3]] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[1,1,1,4],[2],[4]] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[1,1,1,3],[3],[4]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[[1,1,1,4],[3],[4]] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[1,1,2,2],[2],[4]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[[1,1,2,2],[3],[4]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[1,1,2,3],[2],[4]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[[1,1,2,4],[2],[3]] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[1,1,2,4],[2],[4]] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[1,1,2,3],[3],[4]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[[1,1,3,3],[2],[4]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[[1,1,3,4],[2],[3]] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,1,2,4],[3],[4]] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[1,1,3,4],[2],[4]] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[1,1,4,4],[2],[3]] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,1,4,4],[2],[4]] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,1,3,3],[3],[4]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[[1,1,3,4],[3],[4]] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[1,1,4,4],[3],[4]] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,2,2,2],[2],[4]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[1,2,2,2],[3],[4]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[1,2,2,3],[2],[4]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[1,2,2,4],[2],[3]] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[1,2,2,4],[2],[4]] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[1,2,2,3],[3],[4]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[[1,2,3,3],[2],[4]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[1,2,3,4],[2],[3]] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,2,2,4],[3],[4]] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[1,2,3,4],[2],[4]] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[1,2,4,4],[2],[3]] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,2,4,4],[2],[4]] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,2,3,3],[3],[4]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[[1,3,3,3],[2],[4]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[1,3,3,4],[2],[3]] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,2,3,4],[3],[4]] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[1,3,3,4],[2],[4]] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[1,3,4,4],[2],[3]] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,2,4,4],[3],[4]] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,3,4,4],[2],[4]] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,4,4,4],[2],[3]] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,4,4,4],[2],[4]] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,3,3,3],[3],[4]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[1,3,3,4],[3],[4]] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[1,3,4,4],[3],[4]] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,4,4,4],[3],[4]] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[2,2,2,2],[3],[4]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[2,2,2,3],[3],[4]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[[2,2,2,4],[3],[4]] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[2,2,3,3],[3],[4]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[[2,2,3,4],[3],[4]] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[2,2,4,4],[3],[4]] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[2,3,3,3],[3],[4]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[2,3,3,4],[3],[4]] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[2,3,4,4],[3],[4]] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[2,4,4,4],[3],[4]] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,1,1],[2,2,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,1],[2,3,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,1],[2,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,1],[3,3,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,1],[3,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,1],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,2],[2,2,4]] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[[1,1,2],[2,3,4]] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,1,3],[2,2,4]] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[[1,1,2],[2,4,4]] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,1,2],[3,3,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,3],[2,3,4]] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[[1,1,2],[3,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,3],[2,4,4]] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,1,2],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,3],[3,3,4]] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[[1,1,3],[3,4,4]] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,1,3],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,2,2],[2,3,4]] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6)
[[1,2,2],[2,4,4]] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6)
[[1,2,2],[3,3,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,2,3],[2,3,4]] => [2,4,6,1,3,5] => [6,2,1,4,3,5] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,2],[3,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,2,3],[2,4,4]] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6)
[[1,2,2],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,2,3],[3,3,4]] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[[1,2,3],[3,4,4]] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,3,3],[2,4,4]] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6)
[[1,2,3],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,3,3],[3,4,4]] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6)
[[1,3,3],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[2,2,2],[3,3,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[2,2,2],[3,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[2,2,2],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[2,2,3],[3,3,4]] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[[2,2,3],[3,4,4]] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[[2,2,3],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[2,3,3],[3,4,4]] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6)
[[2,3,3],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[3,3,3],[4,4,4]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,1,1],[2,2],[4]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[[1,1,1],[2,3],[4]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[[1,1,1],[2,4],[3]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6)
[[1,1,1],[2,4],[4]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6)
[[1,1,1],[3,3],[4]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[[1,1,1],[3,4],[4]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6)
[[1,1,2],[2,2],[4]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[[1,1,2],[2,3],[4]] => [6,3,5,1,2,4] => [5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)
[[1,1,2],[2,4],[3]] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[1,1,3],[2,2],[4]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[[1,1,4],[2,2],[3]] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,1,2],[2,4],[4]] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[1,1,4],[2,2],[4]] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,1,2],[3,3],[4]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[[1,1,3],[2,3],[4]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[[1,1,3],[2,4],[3]] => [4,3,6,1,2,5] => [6,1,4,3,2,5] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,1,4],[2,3],[3]] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,1,2],[3,4],[4]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6)
[[1,1,3],[2,4],[4]] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[1,1,4],[2,3],[4]] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,1,4],[2,4],[3]] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,1,4],[2,4],[4]] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,1,3],[3,3],[4]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[[1,1,3],[3,4],[4]] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[1,1,4],[3,3],[4]] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,1,4],[3,4],[4]] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,2,2],[2,3],[4]] => [6,2,5,1,3,4] => [5,6,1,3,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[[1,2,2],[2,4],[3]] => [5,2,6,1,3,4] => [6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,2],[2,4],[4]] => [5,2,6,1,3,4] => [6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,2],[3,3],[4]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[[1,2,3],[2,3],[4]] => [6,2,4,1,3,5] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)
[[1,2,3],[2,4],[3]] => [4,2,6,1,3,5] => [6,4,1,2,3,5] => ([(1,5),(2,3),(3,4),(4,5)],6)
[[1,2,4],[2,3],[3]] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[1,2,2],[3,4],[4]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6)
[[1,2,3],[2,4],[4]] => [5,2,6,1,3,4] => [6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,4],[2,3],[4]] => [5,2,4,1,3,6] => [4,5,1,2,3,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[[1,2,4],[2,4],[3]] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[1,2,4],[2,4],[4]] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[1,2,3],[3,3],[4]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[[1,3,3],[2,4],[3]] => [3,2,6,1,4,5] => [6,3,2,1,4,5] => ([(1,5),(2,5),(3,5),(5,4)],6)
[[1,2,3],[3,4],[4]] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[1,2,4],[3,3],[4]] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,3,3],[2,4],[4]] => [5,2,6,1,3,4] => [6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[1,3,4],[2,4],[3]] => [3,2,5,1,4,6] => [5,3,2,1,4,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[[1,2,4],[3,4],[4]] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,3,4],[2,4],[4]] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[1,3,3],[3,4],[4]] => [5,2,6,1,3,4] => [6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[1,3,4],[3,4],[4]] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[2,2,2],[3,3],[4]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[[2,2,2],[3,4],[4]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6)
[[2,2,3],[3,3],[4]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[[2,2,3],[3,4],[4]] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[2,2,4],[3,3],[4]] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[2,2,4],[3,4],[4]] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[2,3,3],[3,4],[4]] => [5,2,6,1,3,4] => [6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[2,3,4],[3,4],[4]] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[1,1,1],[2],[3],[4]] => [6,5,4,1,2,3] => [4,1,2,5,6,3] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)
[[1,1,2],[2],[3],[4]] => [6,5,3,1,2,4] => [3,1,5,2,6,4] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)
[[1,1,3],[2],[3],[4]] => [6,4,3,1,2,5] => [3,1,4,6,2,5] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)
[[1,1,4],[2],[3],[4]] => [5,4,3,1,2,6] => [3,1,4,5,2,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[1,2,2],[2],[3],[4]] => [6,5,2,1,3,4] => [2,5,1,3,6,4] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)
[[1,2,3],[2],[3],[4]] => [6,4,2,1,3,5] => [2,4,1,6,3,5] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)
[[1,2,4],[2],[3],[4]] => [5,4,2,1,3,6] => [2,4,1,5,3,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[1,3,3],[2],[3],[4]] => [6,3,2,1,4,5] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)
[[1,3,4],[2],[3],[4]] => [5,3,2,1,4,6] => [2,3,5,1,4,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[1,4,4],[2],[3],[4]] => [4,3,2,1,5,6] => [2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,1],[2,2],[3,4]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[[1,1],[2,2],[4,4]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[[1,1],[2,3],[3,4]] => [4,6,3,5,1,2] => [5,1,6,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[[1,1],[2,3],[4,4]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[[1,1],[3,3],[4,4]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[[1,2],[2,3],[3,4]] => [4,6,2,5,1,3] => [5,6,1,4,2,3] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[1,2],[2,3],[4,4]] => [5,6,2,4,1,3] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)
[[1,2],[3,3],[4,4]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[[2,2],[3,3],[4,4]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[[1,1],[2,2],[3],[4]] => [6,5,3,4,1,2] => [4,1,5,3,6,2] => ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[[1,1],[2,3],[3],[4]] => [6,4,3,5,1,2] => [5,1,4,6,3,2] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)
[[1,1],[2,4],[3],[4]] => [5,4,3,6,1,2] => [6,1,4,5,3,2] => ([(1,3),(1,4),(1,5),(5,2)],6)
[[1,2],[2,3],[3],[4]] => [6,4,2,5,1,3] => [5,4,1,6,2,3] => ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)
[[1,2],[2,4],[3],[4]] => [5,4,2,6,1,3] => [6,4,1,5,2,3] => ([(1,5),(2,3),(2,5),(3,4)],6)
[[1,3],[2,4],[3],[4]] => [5,3,2,6,1,4] => [6,3,5,1,2,4] => ([(1,4),(2,3),(2,5),(4,5)],6)
[[1,1,1,1,1,1,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,1,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,1,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,2,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,2,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,2,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,2,2,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,2,2,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,2,2,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,2,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,2,2,2,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,2,2,2,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,2,2,2,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,2,2,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,2,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,2,2,2,2,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,2,2,2,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,2,2,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,2,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,2,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[2,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[3,3,3,3,3,3,3]] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[[1,1,1,1,1,1],[3]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[1,1,1,1,1,2],[3]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[1,1,1,1,1,3],[2]] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[1,1,1,1,1,3],[3]] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[1,1,1,1,2,2],[3]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[1,1,1,1,2,3],[2]] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[1,1,1,1,2,3],[3]] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[1,1,1,1,3,3],[2]] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[1,1,1,1,3,3],[3]] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[1,1,1,2,2,2],[3]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[1,1,1,2,2,3],[2]] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[1,1,1,2,2,3],[3]] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[1,1,1,2,3,3],[2]] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[1,1,1,2,3,3],[3]] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[1,1,1,3,3,3],[2]] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[1,1,1,3,3,3],[3]] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[1,1,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[1,1,2,2,2,3],[2]] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[1,1,2,2,2,3],[3]] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[1,1,2,2,3,3],[2]] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[1,1,2,2,3,3],[3]] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[1,1,2,3,3,3],[2]] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[1,1,2,3,3,3],[3]] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[1,1,3,3,3,3],[2]] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[1,1,3,3,3,3],[3]] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[1,2,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[1,2,2,2,2,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[1,2,2,2,2,3],[3]] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[1,2,2,2,3,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[1,2,2,2,3,3],[3]] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[1,2,2,3,3,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[1,2,2,3,3,3],[3]] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[1,2,3,3,3,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[1,2,3,3,3,3],[3]] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[1,3,3,3,3,3],[2]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[1,3,3,3,3,3],[3]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[2,2,2,2,2,2],[3]] => [7,1,2,3,4,5,6] => [7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[2,2,2,2,2,3],[3]] => [6,1,2,3,4,5,7] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[2,2,2,2,3,3],[3]] => [5,1,2,3,4,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[2,2,2,3,3,3],[3]] => [4,1,2,3,5,6,7] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[2,2,3,3,3,3],[3]] => [3,1,2,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[2,3,3,3,3,3],[3]] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[1,1,1,1,1],[2,3]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[[1,1,1,1,1],[3,3]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[[1,1,1,1,2],[2,3]] => [5,7,1,2,3,4,6] => [7,1,2,3,5,4,6] => ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[[1,1,1,1,3],[2,2]] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[[1,1,1,1,2],[3,3]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[[1,1,1,1,3],[2,3]] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[[1,1,1,1,3],[3,3]] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[[1,1,1,2,2],[2,3]] => [4,7,1,2,3,5,6] => [7,1,2,4,3,5,6] => ([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[[1,1,1,2,3],[2,2]] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[[1,1,1,2,2],[3,3]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[[1,1,1,2,3],[2,3]] => [4,6,1,2,3,5,7] => [6,1,2,4,3,5,7] => ([(0,6),(1,4),(2,5),(3,5),(4,2),(4,3),(5,6)],7)
[[1,1,1,3,3],[2,2]] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[[1,1,1,2,3],[3,3]] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[[1,1,1,3,3],[2,3]] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[[1,1,1,3,3],[3,3]] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[[1,1,2,2,2],[2,3]] => [3,7,1,2,4,5,6] => [7,1,3,2,4,5,6] => ([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[[1,1,2,2,3],[2,2]] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[[1,1,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[[1,1,2,2,3],[2,3]] => [3,6,1,2,4,5,7] => [6,1,3,2,4,5,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)
[[1,1,2,3,3],[2,2]] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[[1,1,2,2,3],[3,3]] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[[1,1,2,3,3],[2,3]] => [3,5,1,2,4,6,7] => [5,1,3,2,4,6,7] => ([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7)
[[1,1,3,3,3],[2,2]] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[[1,1,2,3,3],[3,3]] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[[1,1,3,3,3],[2,3]] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[[1,1,3,3,3],[3,3]] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[[1,2,2,2,2],[2,3]] => [2,7,1,3,4,5,6] => [7,2,1,3,4,5,6] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)
[[1,2,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[[1,2,2,2,3],[2,3]] => [2,6,1,3,4,5,7] => [6,2,1,3,4,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[1,2,2,2,3],[3,3]] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[[1,2,2,3,3],[2,3]] => [2,5,1,3,4,6,7] => [5,2,1,3,4,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[1,2,2,3,3],[3,3]] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[[1,2,3,3,3],[2,3]] => [2,4,1,3,5,6,7] => [4,2,1,3,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[1,2,3,3,3],[3,3]] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[[2,2,2,2,2],[3,3]] => [6,7,1,2,3,4,5] => [7,1,2,3,4,6,5] => ([(1,5),(4,6),(5,4),(6,2),(6,3)],7)
[[2,2,2,2,3],[3,3]] => [5,6,1,2,3,4,7] => [6,1,2,3,5,4,7] => ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)
[[2,2,2,3,3],[3,3]] => [4,5,1,2,3,6,7] => [5,1,2,4,3,6,7] => ([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7)
[[2,2,3,3,3],[3,3]] => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => ([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7)
[[1,1,1,1,1],[2],[3]] => [7,6,1,2,3,4,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)
[[1,1,1,1,2],[2],[3]] => [7,5,1,2,3,4,6] => [5,1,2,3,7,4,6] => ([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)
[[1,1,1,1,3],[2],[3]] => [6,5,1,2,3,4,7] => [5,1,2,3,6,4,7] => ([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)
[[1,1,1,2,2],[2],[3]] => [7,4,1,2,3,5,6] => [4,1,2,7,3,5,6] => ([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)
[[1,1,1,2,3],[2],[3]] => [6,4,1,2,3,5,7] => [4,1,2,6,3,5,7] => ([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7)
[[1,1,1,3,3],[2],[3]] => [5,4,1,2,3,6,7] => [4,1,2,5,3,6,7] => ([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)
[[1,1,2,2,2],[2],[3]] => [7,3,1,2,4,5,6] => [3,1,7,2,4,5,6] => ([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)
[[1,1,2,2,3],[2],[3]] => [6,3,1,2,4,5,7] => [3,1,6,2,4,5,7] => ([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7)
[[1,1,2,3,3],[2],[3]] => [5,3,1,2,4,6,7] => [3,1,5,2,4,6,7] => ([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7)
[[1,1,3,3,3],[2],[3]] => [4,3,1,2,5,6,7] => [3,1,4,2,5,6,7] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)
[[1,2,2,2,2],[2],[3]] => [7,2,1,3,4,5,6] => [2,7,1,3,4,5,6] => ([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)
[[1,2,2,2,3],[2],[3]] => [6,2,1,3,4,5,7] => [2,6,1,3,4,5,7] => ([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)
[[1,2,2,3,3],[2],[3]] => [5,2,1,3,4,6,7] => [2,5,1,3,4,6,7] => ([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)
[[1,2,3,3,3],[2],[3]] => [4,2,1,3,5,6,7] => [2,4,1,3,5,6,7] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)
[[1,3,3,3,3],[2],[3]] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[1,1,1,1],[2,2,3]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[[1,1,1,1],[2,3,3]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[[1,1,1,1],[3,3,3]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[[1,1,1,2],[2,2,3]] => [4,5,7,1,2,3,6] => [7,1,2,4,5,3,6] => ([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[[1,1,1,3],[2,2,2]] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[[1,1,1,2],[2,3,3]] => [4,6,7,1,2,3,5] => [7,1,2,4,3,6,5] => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)
[[1,1,1,3],[2,2,3]] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[[1,1,1,2],[3,3,3]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[[1,1,1,3],[2,3,3]] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[[1,1,1,3],[3,3,3]] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[[1,1,2,2],[2,2,3]] => [3,4,7,1,2,5,6] => [7,1,3,4,2,5,6] => ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)
[[1,1,2,2],[2,3,3]] => [3,6,7,1,2,4,5] => [7,1,3,2,4,6,5] => ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)
[[1,1,2,3],[2,2,3]] => [3,4,6,1,2,5,7] => [6,1,3,4,2,5,7] => ([(0,6),(1,3),(1,4),(2,5),(3,5),(4,2),(5,6)],7)
[[1,1,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[[1,1,2,3],[2,3,3]] => [3,5,6,1,2,4,7] => [6,1,3,2,5,4,7] => ([(0,6),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[1,1,2,3],[3,3,3]] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[[1,2,2,2],[2,3,3]] => [2,6,7,1,3,4,5] => [7,2,1,3,4,6,5] => ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)
[[1,2,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[[1,2,2,3],[2,3,3]] => [2,5,6,1,3,4,7] => [6,2,1,3,5,4,7] => ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)
[[1,2,2,3],[3,3,3]] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[[2,2,2,2],[3,3,3]] => [5,6,7,1,2,3,4] => [7,1,2,3,5,6,4] => ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)
[[2,2,2,3],[3,3,3]] => [4,5,6,1,2,3,7] => [6,1,2,4,5,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)
[[1,1,1,1],[2,2],[3]] => [7,5,6,1,2,3,4] => [6,1,2,3,7,5,4] => ([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)
[[1,1,1,1],[2,3],[3]] => [6,5,7,1,2,3,4] => [7,1,2,3,6,5,4] => ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)
[[1,1,1,2],[2,2],[3]] => [7,4,5,1,2,3,6] => [5,1,2,7,4,3,6] => ([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)
[[1,1,1,2],[2,3],[3]] => [6,4,7,1,2,3,5] => [7,1,2,6,3,4,5] => ([(1,6),(4,5),(5,3),(6,2),(6,4)],7)
[[1,1,1,3],[2,2],[3]] => [6,4,5,1,2,3,7] => [5,1,2,6,4,3,7] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5),(5,6)],7)
[[1,1,1,3],[2,3],[3]] => [5,4,6,1,2,3,7] => [6,1,2,5,4,3,7] => ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[[1,1,2,2],[2,2],[3]] => [7,3,4,1,2,5,6] => [4,1,7,3,2,5,6] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)
[[1,1,2,2],[2,3],[3]] => [6,3,7,1,2,4,5] => [7,1,6,2,4,3,5] => ([(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)
[[1,1,2,3],[2,2],[3]] => [6,3,4,1,2,5,7] => [4,1,6,3,2,5,7] => ([(0,4),(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)
[[1,1,2,3],[2,3],[3]] => [5,3,6,1,2,4,7] => [6,1,5,2,3,4,7] => ([(0,6),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)
[[1,1,3,3],[2,2],[3]] => [5,3,4,1,2,6,7] => [4,1,5,3,2,6,7] => ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)
[[1,1,3,3],[2,3],[3]] => [4,3,5,1,2,6,7] => [5,1,4,3,2,6,7] => ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)
[[1,2,2,2],[2,3],[3]] => [6,2,7,1,3,4,5] => [7,6,1,3,4,2,5] => ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)
[[1,2,2,3],[2,3],[3]] => [5,2,6,1,3,4,7] => [6,5,1,3,2,4,7] => ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)
[[1,2,3,3],[2,3],[3]] => [4,2,5,1,3,6,7] => [5,4,1,2,3,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[[1,1,1],[2,2,2],[3]] => [7,4,5,6,1,2,3] => [6,1,2,7,4,5,3] => ([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)
[[1,1,1],[2,2,3],[3]] => [6,4,5,7,1,2,3] => [7,1,2,6,4,5,3] => ([(1,6),(5,4),(6,2),(6,3),(6,5)],7)
[[1,1,1],[2,3,3],[3]] => [5,4,6,7,1,2,3] => [7,1,2,5,4,6,3] => ([(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)
[[1,1,2],[2,2,3],[3]] => [6,3,4,7,1,2,5] => [7,1,6,3,2,4,5] => ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)
[[1,1,2],[2,3,3],[3]] => [5,3,6,7,1,2,4] => [7,1,5,2,3,6,4] => ([(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)
[[1,2,2],[2,3,3],[3]] => [5,2,6,7,1,3,4] => [7,5,1,3,2,6,4] => ([(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,1,1],[2,2],[3,3]] => [6,7,4,5,1,2,3] => [5,1,2,7,4,6,3] => ([(0,5),(0,6),(1,4),(3,5),(4,2),(4,3),(4,6)],7)
[[1,1,2],[2,2],[3,3]] => [6,7,3,4,1,2,5] => [4,1,7,3,2,6,5] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[[1,1,3],[2,2],[3,3]] => [5,6,3,4,1,2,7] => [4,1,6,3,5,2,7] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,6),(4,6),(5,6)],7)
[[1,1,1,1,1,1,1,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[1,1,1,1,1,1,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[1,1,1,1,1,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[1,1,1,1,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[1,1,1,2,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[1,1,2,2,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[1,2,2,2,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[2,2,2,2,2,2,2,2]] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[[1,1,1,1,1,1,1],[2]] => [8,1,2,3,4,5,6,7] => [8,1,2,3,4,5,6,7] => ([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)
[[1,1,1,1,1,1,2],[2]] => [7,1,2,3,4,5,6,8] => [7,1,2,3,4,5,6,8] => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[1,1,1,1,1,2,2],[2]] => [6,1,2,3,4,5,7,8] => [6,1,2,3,4,5,7,8] => ([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[1,1,1,1,2,2,2],[2]] => [5,1,2,3,4,6,7,8] => [5,1,2,3,4,6,7,8] => ([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[1,1,1,2,2,2,2],[2]] => [4,1,2,3,5,6,7,8] => [4,1,2,3,5,6,7,8] => ([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[1,1,2,2,2,2,2],[2]] => [3,1,2,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[1,2,2,2,2,2,2],[2]] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[1,1,1,1,1,1],[2,2]] => [7,8,1,2,3,4,5,6] => [8,1,2,3,4,5,7,6] => ([(1,6),(4,5),(5,7),(6,4),(7,2),(7,3)],8)
[[1,1,1,1,1,2],[2,2]] => [6,7,1,2,3,4,5,8] => [7,1,2,3,4,6,5,8] => ([(0,7),(1,5),(2,7),(3,7),(4,6),(5,4),(6,2),(6,3)],8)
[[1,1,1,1,2,2],[2,2]] => [5,6,1,2,3,4,7,8] => [6,1,2,3,5,4,7,8] => ([(0,7),(1,5),(2,7),(3,7),(5,6),(6,2),(6,3),(7,4)],8)
[[1,1,1,2,2,2],[2,2]] => [4,5,1,2,3,6,7,8] => [5,1,2,4,3,6,7,8] => ([(0,7),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(7,5)],8)
[[1,1,2,2,2,2],[2,2]] => [3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => ([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8)
[[1,1,1,1,1],[2,2,2]] => [6,7,8,1,2,3,4,5] => [8,1,2,3,4,6,7,5] => ([(1,6),(4,7),(5,2),(6,4),(7,3),(7,5)],8)
[[1,1,1,1,2],[2,2,2]] => [5,6,7,1,2,3,4,8] => [7,1,2,3,5,6,4,8] => ([(0,7),(1,5),(2,7),(3,7),(4,3),(5,6),(6,2),(6,4)],8)
[[1,1,1,1],[2,2,2,2]] => [5,6,7,8,1,2,3,4] => [8,1,2,3,5,6,7,4] => ([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8)
[[1]] => [1] => [1] => ([],1)
[[2]] => [1] => [1] => ([],1)
[[1,1]] => [1,2] => [1,2] => ([(0,1)],2)
[[3]] => [1] => [1] => ([],1)
[[1,1,1]] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[[4]] => [1] => [1] => ([],1)
[[1,1,1,1]] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[[5]] => [1] => [1] => ([],1)
[[1,1,1,1,1]] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[[6]] => [1] => [1] => ([],1)
[[1,1,1,1,1,1]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,3,4,5,6]] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => [5,1,2,3,6,4] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => [6,1,2,4,3,5] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => [4,1,2,6,3,5] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => [6,1,2,3,5,4] => ([(1,4),(4,5),(5,2),(5,3)],6)
[[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [4,1,2,5,3,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => [4,1,2,5,6,3] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)
[[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => [6,1,3,2,4,5] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => [5,1,3,2,4,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => [5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)
[[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => [3,1,6,2,4,5] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => [3,1,5,2,4,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => [3,1,5,2,6,4] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)
[[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => [5,1,2,4,3,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)
[[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => [5,1,2,6,4,3] => ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)
[[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => [3,1,4,2,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [6,1,4,3,2,5] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => [3,1,4,6,2,5] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)
[[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [6,1,2,5,4,3] => ([(1,5),(5,2),(5,3),(5,4)],6)
[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [6,1,5,2,3,4] => ([(1,3),(1,5),(4,2),(5,4)],6)
[[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [3,1,4,5,2,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => [3,1,4,5,6,2] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [5,6,1,3,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)
[[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [6,2,1,4,3,5] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [4,6,1,2,3,5] => ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)
[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [6,2,1,3,5,4] => ([(1,5),(2,5),(5,3),(5,4)],6)
[[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [4,5,1,2,3,6] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)
[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [4,5,1,2,6,3] => ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)
[[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [2,5,1,3,6,4] => ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)
[[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [6,4,1,2,3,5] => ([(1,5),(2,3),(3,4),(4,5)],6)
[[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [2,4,1,6,3,5] => ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)
[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [6,5,1,3,2,4] => ([(2,3),(2,4),(3,5),(4,5)],6)
[[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [2,4,1,5,3,6] => ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)
[[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [2,4,1,5,6,3] => ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)
[[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [4,1,3,2,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)
[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [6,1,3,4,2,5] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)
[[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [4,1,6,3,2,5] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)
[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [6,1,3,2,5,4] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [4,1,5,3,2,6] => ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [4,1,5,3,6,2] => ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)
[[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [6,3,2,1,4,5] => ([(1,5),(2,5),(3,5),(5,4)],6)
[[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [5,3,2,1,4,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [5,6,3,1,2,4] => ([(0,5),(1,3),(2,4),(4,5)],6)
[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [5,3,6,1,2,4] => ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)
[[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)
[[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [2,3,5,1,4,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [2,3,5,1,6,4] => ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)
[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [6,1,2,4,5,3] => ([(1,5),(4,3),(5,2),(5,4)],6)
[[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [5,1,4,3,2,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)
[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [5,1,4,6,3,2] => ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)
[[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [5,6,1,4,2,3] => ([(0,4),(1,3),(1,5),(5,2)],6)
[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [5,4,1,6,2,3] => ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)
[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [5,1,6,4,3,2] => ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)
[[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [6,3,4,2,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [2,3,4,6,1,5] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [6,1,4,5,3,2] => ([(1,3),(1,4),(1,5),(5,2)],6)
[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [4,6,1,2,5,3] => ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)
[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [6,4,1,5,2,3] => ([(1,5),(2,3),(2,5),(3,4)],6)
[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [4,1,6,3,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)
[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [6,3,5,1,2,4] => ([(1,4),(2,3),(2,5),(4,5)],6)
[[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [2,3,4,5,1,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[1,1,1,1,2,2,2],[3,4],[4]] => [9,8,10,1,2,3,4,5,6,7] => [10,1,2,3,4,5,6,9,8,7] => ([(1,8),(5,7),(6,5),(7,9),(8,6),(9,2),(9,3),(9,4)],10)
[[1,1,1,2,2,2,2],[3,4],[4]] => [9,8,10,1,2,3,4,5,6,7] => [10,1,2,3,4,5,6,9,8,7] => ([(1,8),(5,7),(6,5),(7,9),(8,6),(9,2),(9,3),(9,4)],10)
[[1,1,1,1,2,2,3],[3,4],[4]] => [9,7,10,1,2,3,4,5,6,8] => [10,1,2,3,4,5,9,6,7,8] => ([(1,8),(4,5),(5,9),(6,7),(7,2),(8,4),(9,3),(9,6)],10)
[[1,1,1,2,2,2,3],[3,4],[4]] => [9,7,10,1,2,3,4,5,6,8] => [10,1,2,3,4,5,9,6,7,8] => ([(1,8),(4,5),(5,9),(6,7),(7,2),(8,4),(9,3),(9,6)],10)
[[1,1,2,2,2,2,3],[3,4],[4]] => [9,7,10,1,2,3,4,5,6,8] => [10,1,2,3,4,5,9,6,7,8] => ([(1,8),(4,5),(5,9),(6,7),(7,2),(8,4),(9,3),(9,6)],10)
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
searching the database
Sorry, this map was not found in the database.