Identifier
Mp00085:
Standard tableaux
—Schützenberger involution⟶
Standard tableaux
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Images
[[1]] => [[1]] => [1] => ([],1)
[[1,2]] => [[1,2]] => [1,2] => ([],2)
[[1],[2]] => [[1],[2]] => [2,1] => ([(0,1)],2)
[[1,2,3]] => [[1,2,3]] => [1,2,3] => ([],3)
[[1,3],[2]] => [[1,2],[3]] => [3,1,2] => ([(0,2),(1,2)],3)
[[1,2],[3]] => [[1,3],[2]] => [2,1,3] => ([(1,2)],3)
[[1],[2],[3]] => [[1],[2],[3]] => [3,2,1] => ([(0,1),(0,2),(1,2)],3)
[[1,2,3,4]] => [[1,2,3,4]] => [1,2,3,4] => ([],4)
[[1,3,4],[2]] => [[1,2,3],[4]] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4)
[[1,2,4],[3]] => [[1,2,4],[3]] => [3,1,2,4] => ([(1,3),(2,3)],4)
[[1,2,3],[4]] => [[1,3,4],[2]] => [2,1,3,4] => ([(2,3)],4)
[[1,3],[2,4]] => [[1,3],[2,4]] => [2,4,1,3] => ([(0,3),(1,2),(2,3)],4)
[[1,2],[3,4]] => [[1,2],[3,4]] => [3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4)
[[1,4],[2],[3]] => [[1,2],[3],[4]] => [4,3,1,2] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[[1,3],[2],[4]] => [[1,3],[2],[4]] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4)
[[1,2],[3],[4]] => [[1,4],[2],[3]] => [3,2,1,4] => ([(1,2),(1,3),(2,3)],4)
[[1],[2],[3],[4]] => [[1],[2],[3],[4]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
[[1,2,3,4,5]] => [[1,2,3,4,5]] => [1,2,3,4,5] => ([],5)
[[1,3,4,5],[2]] => [[1,2,3,4],[5]] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5)
[[1,2,4,5],[3]] => [[1,2,3,5],[4]] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5)
[[1,2,3,5],[4]] => [[1,2,4,5],[3]] => [3,1,2,4,5] => ([(2,4),(3,4)],5)
[[1,2,3,4],[5]] => [[1,3,4,5],[2]] => [2,1,3,4,5] => ([(3,4)],5)
[[1,3,5],[2,4]] => [[1,2,4],[3,5]] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
[[1,2,5],[3,4]] => [[1,2,3],[4,5]] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[[1,3,4],[2,5]] => [[1,3,4],[2,5]] => [2,5,1,3,4] => ([(0,4),(1,4),(2,3),(3,4)],5)
[[1,2,4],[3,5]] => [[1,3,5],[2,4]] => [2,4,1,3,5] => ([(1,4),(2,3),(3,4)],5)
[[1,2,3],[4,5]] => [[1,2,5],[3,4]] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5)
[[1,4,5],[2],[3]] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,3,5],[2],[4]] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,2,5],[3],[4]] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,3,4],[2],[5]] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
[[1,2,4],[3],[5]] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => ([(1,4),(2,3),(2,4),(3,4)],5)
[[1,2,3],[4],[5]] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5)
[[1,4],[2,5],[3]] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => ([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
[[1,3],[2,5],[4]] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
[[1,2],[3,5],[4]] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
[[1,3],[2,4],[5]] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
[[1,2],[3,4],[5]] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => ([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
[[1,5],[2],[3],[4]] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,4],[2],[3],[5]] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,3],[2],[4],[5]] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,2],[3],[4],[5]] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1],[2],[3],[4],[5]] => [[1],[2],[3],[4],[5]] => [5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => [1,2,3,4,5,6] => ([],6)
[[1,3,4,5,6],[2]] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,4,5,6],[3]] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,3,5,6],[4]] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6)
[[1,2,3,4,6],[5]] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6)
[[1,2,3,4,5],[6]] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => ([(4,5)],6)
[[1,3,5,6],[2,4]] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[[1,2,5,6],[3,4]] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[[1,3,4,6],[2,5]] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,4,6],[3,5]] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,3,6],[4,5]] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[[1,3,4,5],[2,6]] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[[1,2,4,5],[3,6]] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => ([(1,5),(2,5),(3,4),(4,5)],6)
[[1,2,3,5],[4,6]] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => ([(2,5),(3,4),(4,5)],6)
[[1,2,3,4],[5,6]] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6)
[[1,4,5,6],[2],[3]] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,5,6],[2],[4]] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,5,6],[3],[4]] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,4,6],[2],[5]] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,4,6],[3],[5]] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,4,5],[2],[6]] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,5],[4],[6]] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,4],[5],[6]] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6)
[[1,3,5],[2,4,6]] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,5],[3,4,6]] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[1,3,4],[2,5,6]] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,4],[3,5,6]] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,2,3],[4,5,6]] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[[1,4,6],[2,5],[3]] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,6],[2,5],[4]] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[[1,2,6],[3,5],[4]] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,6],[2,4],[5]] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[1,2,6],[3,4],[5]] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[[1,4,5],[2,6],[3]] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,5],[2,6],[4]] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,5],[3,6],[4]] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,4],[2,6],[5]] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[[1,2,4],[3,6],[5]] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[[1,2,3],[4,6],[5]] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,3,5],[2,4],[6]] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
[[1,2,5],[3,4],[6]] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => ([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)
[[1,3,4],[2,5],[6]] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[[1,2,4],[3,5],[6]] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6)
[[1,2,3],[4,5],[6]] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
[[1,5,6],[2],[3],[4]] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,4,6],[2],[3],[5]] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,6],[2],[4],[5]] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,6],[3],[4],[5]] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,4,5],[2],[3],[6]] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,5],[2],[4],[6]] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,5],[3],[4],[6]] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,4],[2],[5],[6]] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,4],[3],[5],[6]] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => ([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3],[4],[5],[6]] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,4],[2,5],[3,6]] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3],[2,5],[4,6]] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
>>> Load all 1529 entries. <<<
[[1,2],[3,5],[4,6]] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,3],[2,4],[5,6]] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,2],[3,4],[5,6]] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[[1,5],[2,6],[3],[4]] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,4],[2,6],[3],[5]] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3],[2,6],[4],[5]] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)
[[1,2],[3,6],[4],[5]] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)
[[1,4],[2,5],[3],[6]] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => ([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3],[2,5],[4],[6]] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2],[3,5],[4],[6]] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)
[[1,3],[2,4],[5],[6]] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2],[3,4],[5],[6]] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => ([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,6],[2],[3],[4],[5]] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,5],[2],[3],[4],[6]] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,4],[2],[3],[5],[6]] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3],[2],[4],[5],[6]] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2],[3],[4],[5],[6]] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1],[2],[3],[4],[5],[6]] => [[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,4,5,6,7]] => [[1,2,3,4,5,6,7]] => [1,2,3,4,5,6,7] => ([],7)
[[1,3,4,5,6,7],[2]] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,5,6,7],[3]] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,3,5,6,7],[4]] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => ([(3,6),(4,6),(5,6)],7)
[[1,2,3,4,5,7],[6]] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => ([(4,6),(5,6)],7)
[[1,2,3,4,5,6],[7]] => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => ([(5,6)],7)
[[1,3,5,6,7],[2,4]] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,5,6,7],[3,4]] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3,4,6,7],[2,5]] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,4,6,7],[3,5]] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,3,6,7],[4,5]] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3,4,5,7],[2,6]] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,4,5,7],[3,6]] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => ([(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3,4,5,6],[2,7]] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[1,2,3,5,6],[4,7]] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(5,6)],7)
[[1,2,3,4,6],[5,7]] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => ([(3,6),(4,5),(5,6)],7)
[[1,2,3,4,5],[6,7]] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6)],7)
[[1,4,5,6,7],[2],[3]] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5,6,7],[2],[4]] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,6,7],[3],[4]] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,6,7],[2],[5]] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,6,7],[3],[5]] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,6,7],[4],[5]] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,5,7],[2],[6]] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,5,7],[3],[6]] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,7],[5],[6]] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => ([(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,5,6],[2],[7]] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => ([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5,6],[4],[7]] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => ([(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,6],[5],[7]] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => ([(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,5],[6],[7]] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7)
[[1,3,5,7],[2,4,6]] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,5,7],[3,4,6]] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3,4,7],[2,5,6]] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => ([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[[1,2,4,7],[3,5,6]] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,3,7],[4,5,6]] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[[1,3,5,6],[2,4,7]] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => ([(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,5,6],[3,4,7]] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3,4,6],[2,5,7]] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5),(5,6)],7)
[[1,2,4,6],[3,5,7]] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,3,6],[4,5,7]] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[1,3,4,5],[2,6,7]] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,4,5],[3,6,7]] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,3,5],[4,6,7]] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,3,4],[5,6,7]] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[[1,4,6,7],[2,5],[3]] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,3,6,7],[2,5],[4]] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,6,7],[3,5],[4]] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[[1,3,6,7],[2,4],[5]] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5)],7)
[[1,2,6,7],[3,4],[5]] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6)],7)
[[1,4,5,7],[2,6],[3]] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5,7],[2,6],[4]] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,7],[3,6],[4]] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,7],[2,6],[5]] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,4,7],[3,6],[5]] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,3,7],[4,6],[5]] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5,7],[2,4],[6]] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,5,7],[3,4],[6]] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3,4,7],[2,5],[6]] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,4,7],[3,5],[6]] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => ([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,3,7],[4,5],[6]] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,4,5,6],[2,7],[3]] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5,6],[2,7],[4]] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,6],[3,7],[4]] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,6],[2,7],[5]] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,6],[4,7],[5]] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,5],[2,7],[6]] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,4,5],[3,7],[6]] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,3,5],[4,7],[6]] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,3,4],[5,7],[6]] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3,5,6],[2,4],[7]] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[[1,2,5,6],[3,4],[7]] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6)],7)
[[1,3,4,6],[2,5],[7]] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6)],7)
[[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => ([(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,3,6],[4,5],[7]] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => ([(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[[1,3,4,5],[2,6],[7]] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7)
[[1,2,4,5],[3,6],[7]] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => ([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[[1,2,3,5],[4,6],[7]] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => ([(2,5),(3,4),(3,6),(4,6),(5,6)],7)
[[1,2,3,4],[5,6],[7]] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => ([(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[[1,5,6,7],[2],[3],[4]] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,6,7],[2],[3],[5]] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6,7],[2],[4],[5]] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6,7],[3],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => ([(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5,7],[2],[3],[6]] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5,7],[2],[4],[6]] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,7],[3],[4],[6]] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => ([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,7],[2],[5],[6]] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,7],[3],[5],[6]] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => ([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5,6],[2],[3],[7]] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5,6],[2],[4],[7]] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,6],[3],[4],[7]] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,6],[2],[5],[7]] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,6],[4],[5],[7]] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => ([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,5],[2],[6],[7]] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,5],[3],[6],[7]] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => ([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5],[4],[6],[7]] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => ([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4],[5],[6],[7]] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,6],[2,5,7],[3]] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,5,7],[4]] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,5,7],[4]] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,4,7],[5]] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => ([(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,6],[3,4,7],[5]] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => ([(0,4),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[[1,4,5],[2,6,7],[3]] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5],[2,6,7],[4]] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,5],[3,6,7],[4]] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => ([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,6,7],[5]] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3,6,7],[5]] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,3],[4,6,7],[5]] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[[1,3,5],[2,4,7],[6]] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => ([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,5],[3,4,7],[6]] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => ([(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[[1,3,4],[2,5,7],[6]] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,4],[3,5,7],[6]] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => ([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,3],[4,5,7],[6]] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => ([(0,1),(0,2),(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,3,5],[2,4,6],[7]] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[[1,2,5],[3,4,6],[7]] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => ([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[1,3,4],[2,5,6],[7]] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => ([(0,5),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,4],[3,5,6],[7]] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => ([(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[[1,2,3],[4,5,6],[7]] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5),(5,6)],7)
[[1,4,7],[2,5],[3,6]] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,7],[2,5],[4,6]] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(5,6)],7)
[[1,2,7],[3,5],[4,6]] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,3,7],[2,4],[5,6]] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => ([(0,2),(0,3),(0,4),(0,6),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,7],[3,4],[5,6]] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,4,6],[2,5],[3,7]] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => ([(0,5),(0,6),(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,5],[4,7]] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => ([(0,3),(0,4),(0,6),(1,3),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,5],[4,7]] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,3,6],[2,4],[5,7]] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,6],[3,4],[5,7]] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,4,5],[2,6],[3,7]] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5],[2,6],[4,7]] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => ([(0,6),(1,3),(1,6),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,6],[4,7]] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,6],[5,7]] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => ([(0,6),(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4],[3,6],[5,7]] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => ([(1,2),(1,4),(1,6),(2,3),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,6],[5,7]] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3,5],[2,4],[6,7]] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,5],[3,4],[6,7]] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3,4],[2,5],[6,7]] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3,5],[6,7]] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,3],[4,5],[6,7]] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,5,7],[2,6],[3],[4]] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,7],[2,6],[3],[5]] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,7],[2,6],[4],[5]] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,7],[3,6],[4],[5]] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,7],[2,5],[3],[6]] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,7],[2,5],[4],[6]] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,7],[3,5],[4],[6]] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => ([(0,1),(0,3),(0,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,7],[2,4],[5],[6]] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => ([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2,7],[3,4],[5],[6]] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,5,6],[2,7],[3],[4]] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,6],[2,7],[3],[5]] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,7],[4],[5]] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,7],[4],[5]] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5],[2,7],[3],[6]] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5],[2,7],[4],[6]] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,7],[4],[6]] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,7],[5],[6]] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3,7],[5],[6]] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2,3],[4,7],[5],[6]] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,4,6],[2,5],[3],[7]] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => ([(0,5),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,3,6],[2,5],[4],[7]] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,5],[4],[7]] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => ([(0,2),(0,5),(0,6),(1,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,4],[5],[7]] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => ([(0,3),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,4],[5],[7]] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => ([(0,3),(0,6),(1,3),(1,4),(1,6),(2,4),(2,5),(2,6),(3,5),(4,5),(4,6),(5,6)],7)
[[1,4,5],[2,6],[3],[7]] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5],[2,6],[4],[7]] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => ([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,6],[4],[7]] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => ([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,6],[5],[7]] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => ([(0,6),(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4],[3,6],[5],[7]] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => ([(1,2),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,6],[5],[7]] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => ([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7)
[[1,3,5],[2,4],[6],[7]] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => ([(0,4),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[[1,2,5],[3,4],[6],[7]] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(5,6)],7)
[[1,3,4],[2,5],[6],[7]] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3,5],[6],[7]] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => ([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,5],[6],[7]] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => ([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,6,7],[2],[3],[4],[5]] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,5,7],[2],[3],[4],[6]] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,7],[2],[3],[5],[6]] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,7],[2],[4],[5],[6]] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => ([(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,7],[3],[4],[5],[6]] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => ([(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,5,6],[2],[3],[4],[7]] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,6],[2],[3],[5],[7]] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2],[4],[5],[7]] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => ([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3],[4],[5],[7]] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => ([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5],[2],[3],[6],[7]] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5],[2],[4],[6],[7]] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => ([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3],[4],[6],[7]] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => ([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2],[5],[6],[7]] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4],[3],[5],[6],[7]] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => ([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4],[5],[6],[7]] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,5],[2,6],[3,7],[4]] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4],[2,6],[3,7],[5]] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(0,6),(1,2),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,6],[4,7],[5]] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2],[3,6],[4,7],[5]] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4],[2,5],[3,7],[6]] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,3],[2,5],[4,7],[6]] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2],[3,5],[4,7],[6]] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[1,3],[2,4],[5,7],[6]] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,2],[3,4],[5,7],[6]] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,4],[2,5],[3,6],[7]] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => ([(0,3),(0,5),(1,2),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,5],[4,6],[7]] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => ([(0,1),(0,4),(0,6),(1,3),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,5],[4,6],[7]] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => ([(0,2),(0,3),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,4],[5,6],[7]] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(5,6)],7)
[[1,2],[3,4],[5,6],[7]] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,6),(1,2),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,6],[2,7],[3],[4],[5]] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,5],[2,7],[3],[4],[6]] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4],[2,7],[3],[5],[6]] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,7],[4],[5],[6]] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7)
[[1,2],[3,7],[4],[5],[6]] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7)
[[1,5],[2,6],[3],[4],[7]] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => ([(0,3),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4],[2,6],[3],[5],[7]] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(0,6),(1,3),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,6],[4],[5],[7]] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => ([(0,2),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,6],[4],[5],[7]] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => ([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4],[2,5],[3],[6],[7]] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => ([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,5],[4],[6],[7]] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => ([(0,1),(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,5],[4],[6],[7]] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => ([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,4],[5],[6],[7]] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => ([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,4],[5],[6],[7]] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => ([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,7],[2],[3],[4],[5],[6]] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,6],[2],[3],[4],[5],[7]] => [[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,5],[2],[3],[4],[6],[7]] => [[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4],[2],[3],[5],[6],[7]] => [[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2],[4],[5],[6],[7]] => [[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3],[4],[5],[6],[7]] => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1],[2],[3],[4],[5],[6],[7]] => [[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,5,6,7,8]] => [[1,2,3,4,5,6,7,8]] => [1,2,3,4,5,6,7,8] => ([],8)
[[1,3,4,5,6,7,8],[2]] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6,7,8],[3]] => [[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,3,5,6,7,8],[4]] => [[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,3,4,6,7,8],[5]] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,3,4,5,7,8],[6]] => [[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => ([(4,7),(5,7),(6,7)],8)
[[1,2,3,4,5,6,8],[7]] => [[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => ([(5,7),(6,7)],8)
[[1,2,3,4,5,6,7],[8]] => [[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => ([(6,7)],8)
[[1,3,5,6,7,8],[2,4]] => [[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,5,6,7,8],[3,4]] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,6,7,8],[2,5]] => [[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4,6,7,8],[3,5]] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,6,7,8],[4,5]] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,5,7,8],[2,6]] => [[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4,5,7,8],[3,6]] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,5,7,8],[4,6]] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,5,6,8],[2,7]] => [[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4,5,6,8],[3,7]] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,3,4,6,8],[5,7]] => [[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,4,5,8],[6,7]] => [[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,5,6,7],[2,8]] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[1,2,3,5,6,7],[4,8]] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[1,2,3,4,6,7],[5,8]] => [[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => ([(3,7),(4,7),(5,6),(6,7)],8)
[[1,2,3,4,5,7],[6,8]] => [[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => ([(4,7),(5,6),(6,7)],8)
[[1,2,3,4,5,6],[7,8]] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => ([(4,6),(4,7),(5,6),(5,7)],8)
[[1,4,5,6,7,8],[2],[3]] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,6,7,8],[2],[4]] => [[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,7,8],[3],[4]] => [[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,7,8],[2],[5]] => [[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,7,8],[3],[5]] => [[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,7,8],[2],[6]] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5,7,8],[3],[6]] => [[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,7,8],[4],[6]] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => ([(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,6,8],[2],[7]] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5,6,8],[3],[7]] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6,8],[5],[7]] => [[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5,8],[6],[7]] => [[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => ([(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,6,7],[2],[8]] => [[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6,7],[5],[8]] => [[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => ([(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5,7],[6],[8]] => [[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => ([(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5,6],[7],[8]] => [[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => ([(5,6),(5,7),(6,7)],8)
[[1,3,5,7,8],[2,4,6]] => [[1,2,3,5,7],[4,6,8]] => [4,6,8,1,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,7,8],[2,5,6]] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,2,4,7,8],[3,5,6]] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,2,3,7,8],[4,5,6]] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,3,5,6,8],[2,4,7]] => [[1,2,4,5,7],[3,6,8]] => [3,6,8,1,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,5,6,8],[3,4,7]] => [[1,2,4,5,6],[3,7,8]] => [3,7,8,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4,6,8],[3,5,7]] => [[1,2,4,6,8],[3,5,7]] => [3,5,7,1,2,4,6,8] => ([(1,7),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,3,6,8],[4,5,7]] => [[1,2,4,5,8],[3,6,7]] => [3,6,7,1,2,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,5,8],[2,6,7]] => [[1,2,3,6,7],[4,5,8]] => [4,5,8,1,2,3,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,5,8],[4,6,7]] => [[1,2,3,5,8],[4,6,7]] => [4,6,7,1,2,3,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,4,8],[5,6,7]] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,3,5,6,7],[2,4,8]] => [[1,3,4,5,7],[2,6,8]] => [2,6,8,1,3,4,5,7] => ([(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,5,6,7],[3,4,8]] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,6,7],[2,5,8]] => [[1,3,4,6,7],[2,5,8]] => [2,5,8,1,3,4,6,7] => ([(0,7),(1,7),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,6,7],[4,5,8]] => [[1,3,4,5,8],[2,6,7]] => [2,6,7,1,3,4,5,8] => ([(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,5,7],[2,6,8]] => [[1,3,5,6,7],[2,4,8]] => [2,4,8,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,7),(5,6),(6,7)],8)
[[1,2,3,5,7],[4,6,8]] => [[1,3,5,7,8],[2,4,6]] => [2,4,6,1,3,5,7,8] => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[1,3,4,5,6],[2,7,8]] => [[1,2,5,6,7],[3,4,8]] => [3,4,8,1,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,3,4,6],[5,7,8]] => [[1,2,4,7,8],[3,5,6]] => [3,5,6,1,2,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,4,5],[6,7,8]] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,4,6,7,8],[2,5],[3]] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,6,7,8],[2,5],[4]] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,6,7,8],[3,5],[4]] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[[1,3,6,7,8],[2,4],[5]] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[[1,2,6,7,8],[3,4],[5]] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[[1,4,5,7,8],[2,6],[3]] => [[1,2,3,5,6],[4,7],[8]] => [8,4,7,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,5,7,8],[3,6],[4]] => [[1,2,3,5,8],[4,6],[7]] => [7,4,6,1,2,3,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,4,7,8],[2,6],[5]] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,4,7,8],[3,6],[5]] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,7,8],[4,6],[5]] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[[1,3,5,7,8],[2,4],[6]] => [[1,2,3,5,7],[4,8],[6]] => [6,4,8,1,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[[1,2,5,7,8],[3,4],[6]] => [[1,2,3,5,6],[4,8],[7]] => [7,4,8,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[[1,3,4,7,8],[2,5],[6]] => [[1,2,3,6,7],[4,8],[5]] => [5,4,8,1,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[[1,2,4,7,8],[3,5],[6]] => [[1,2,3,6,8],[4,7],[5]] => [5,4,7,1,2,3,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[[1,2,3,7,8],[4,5],[6]] => [[1,2,3,5,8],[4,7],[6]] => [6,4,7,1,2,3,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[[1,4,5,6,8],[2,7],[3]] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,8],[2,7],[4]] => [[1,2,4,5,7],[3,6],[8]] => [8,3,6,1,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,8],[3,7],[4]] => [[1,2,4,5,8],[3,6],[7]] => [7,3,6,1,2,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,8],[2,7],[5]] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,8],[3,7],[5]] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,8],[4,7],[5]] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,8],[2,7],[6]] => [[1,2,3,6,7],[4,5],[8]] => [8,4,5,1,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,8],[3,7],[6]] => [[1,2,3,6,8],[4,5],[7]] => [7,4,5,1,2,3,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,8],[2,4],[7]] => [[1,2,4,5,7],[3,8],[6]] => [6,3,8,1,2,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,5,6,8],[3,4],[7]] => [[1,2,4,5,6],[3,8],[7]] => [7,3,8,1,2,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[[1,2,4,6,8],[3,5],[7]] => [[1,2,4,6,8],[3,7],[5]] => [5,3,7,1,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,6,8],[4,5],[7]] => [[1,2,4,5,8],[3,7],[6]] => [6,3,7,1,2,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,4,8],[5,6],[7]] => [[1,2,4,7,8],[3,6],[5]] => [5,3,6,1,2,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,5,7],[2,8],[6]] => [[1,3,5,6,7],[2,4],[8]] => [8,2,4,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,7],[4,8],[6]] => [[1,3,5,7,8],[2,4],[6]] => [6,2,4,1,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,7],[5,8],[6]] => [[1,3,6,7,8],[2,4],[5]] => [5,2,4,1,3,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,6],[2,8],[7]] => [[1,2,5,6,7],[3,4],[8]] => [8,3,4,1,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6],[3,8],[7]] => [[1,2,5,6,8],[3,4],[7]] => [7,3,4,1,2,5,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,4,6],[5,8],[7]] => [[1,2,6,7,8],[3,4],[5]] => [5,3,4,1,2,6,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,4,5],[6,8],[7]] => [[1,2,6,7,8],[3,5],[4]] => [4,3,5,1,2,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,5,6,7],[2,4],[8]] => [[1,3,4,5,7],[2,8],[6]] => [6,2,8,1,3,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[[1,2,5,6,7],[3,4],[8]] => [[1,3,4,5,6],[2,8],[7]] => [7,2,8,1,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[[1,2,3,6,7],[4,5],[8]] => [[1,3,4,5,8],[2,7],[6]] => [6,2,7,1,3,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[[1,3,4,5,7],[2,6],[8]] => [[1,3,5,6,7],[2,8],[4]] => [4,2,8,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7)],8)
[[1,2,3,5,7],[4,6],[8]] => [[1,3,5,7,8],[2,6],[4]] => [4,2,6,1,3,5,7,8] => ([(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,5,6],[2,7],[8]] => [[1,4,5,6,7],[2,8],[3]] => [3,2,8,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[[1,2,3,5,6],[4,7],[8]] => [[1,4,5,7,8],[2,6],[3]] => [3,2,6,1,4,5,7,8] => ([(2,7),(3,7),(4,5),(4,6),(5,6),(6,7)],8)
[[1,2,3,4,6],[5,7],[8]] => [[1,4,6,7,8],[2,5],[3]] => [3,2,5,1,4,6,7,8] => ([(3,6),(4,5),(4,7),(5,7),(6,7)],8)
[[1,2,3,4,5],[6,7],[8]] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => ([(3,6),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[[1,5,6,7,8],[2],[3],[4]] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,7,8],[2],[3],[5]] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7,8],[2],[4],[5]] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7,8],[3],[4],[5]] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,7,8],[2],[3],[6]] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7,8],[2],[4],[6]] => [[1,2,3,5,7],[4],[6],[8]] => [8,6,4,1,2,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7,8],[2],[5],[6]] => [[1,2,3,6,7],[4],[5],[8]] => [8,5,4,1,2,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7,8],[4],[5],[6]] => [[1,2,3,7,8],[4],[5],[6]] => [6,5,4,1,2,3,7,8] => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,8],[2],[5],[7]] => [[1,2,4,6,7],[3],[5],[8]] => [8,5,3,1,2,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,8],[3],[5],[7]] => [[1,2,4,6,8],[3],[5],[7]] => [7,5,3,1,2,4,6,8] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5,8],[3],[6],[7]] => [[1,2,5,6,8],[3],[4],[7]] => [7,4,3,1,2,5,6,8] => ([(1,7),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,8],[4],[6],[7]] => [[1,2,5,7,8],[3],[4],[6]] => [6,4,3,1,2,5,7,8] => ([(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,8],[5],[6],[7]] => [[1,2,6,7,8],[3],[4],[5]] => [5,4,3,1,2,6,7,8] => ([(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6,7],[2],[3],[8]] => [[1,3,4,5,6],[2],[7],[8]] => [8,7,2,1,3,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,7],[2],[5],[8]] => [[1,3,4,6,7],[2],[5],[8]] => [8,5,2,1,3,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,7],[2],[6],[8]] => [[1,3,5,6,7],[2],[4],[8]] => [8,4,2,1,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,7],[4],[6],[8]] => [[1,3,5,7,8],[2],[4],[6]] => [6,4,2,1,3,5,7,8] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,7],[5],[6],[8]] => [[1,3,6,7,8],[2],[4],[5]] => [5,4,2,1,3,6,7,8] => ([(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,6],[2],[7],[8]] => [[1,4,5,6,7],[2],[3],[8]] => [8,3,2,1,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5,6],[3],[7],[8]] => [[1,4,5,6,8],[2],[3],[7]] => [7,3,2,1,4,5,6,8] => ([(1,7),(2,7),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6],[5],[7],[8]] => [[1,4,6,7,8],[2],[3],[5]] => [5,3,2,1,4,6,7,8] => ([(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5],[6],[7],[8]] => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => ([(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,4,6,8]] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,4,6,8]] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,5,6,8]] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => ([(0,7),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[[1,2,4,7],[3,5,6,8]] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,5,6,8]] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[[1,3,5,6],[2,4,7,8]] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,4,7,8]] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,6],[2,5,7,8]] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,5,7,8]] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,6],[4,5,7,8]] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,5],[2,6,7,8]] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3,6,7,8]] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,5],[4,6,7,8]] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,2,3,4],[5,6,7,8]] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[[1,4,6,8],[2,5,7],[3]] => [[1,2,4,6],[3,5,7],[8]] => [8,3,5,7,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,8],[2,4,7],[5]] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => ([(0,6),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,6,8],[3,4,7],[5]] => [[1,2,4,6],[3,5,8],[7]] => [7,3,5,8,1,2,4,6] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,5,8],[2,6,7],[4]] => [[1,2,3,5],[4,6,7],[8]] => [8,4,6,7,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,5,8],[3,6,7],[4]] => [[1,2,3,5],[4,6,8],[7]] => [7,4,6,8,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[[1,3,4,8],[2,6,7],[5]] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,8],[3,6,7],[5]] => [[1,2,3,4],[5,6,8],[7]] => [7,5,6,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,8],[4,6,7],[5]] => [[1,2,3,4],[5,7,8],[6]] => [6,5,7,8,1,2,3,4] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,8],[2,4,7],[6]] => [[1,2,3,7],[4,5,8],[6]] => [6,4,5,8,1,2,3,7] => ([(0,6),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,5,8],[3,4,7],[6]] => [[1,2,3,6],[4,5,8],[7]] => [7,4,5,8,1,2,3,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4,8],[3,5,7],[6]] => [[1,2,3,6],[4,7,8],[5]] => [5,4,7,8,1,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,8],[4,5,7],[6]] => [[1,2,3,5],[4,7,8],[6]] => [6,4,7,8,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,2,5,8],[3,4,6],[7]] => [[1,2,5,6],[3,7,8],[4]] => [4,3,7,8,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,8],[4,5,6],[7]] => [[1,2,4,5],[3,7,8],[6]] => [6,3,7,8,1,2,4,5] => ([(0,3),(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,3,6,7],[2,5,8],[4]] => [[1,3,4,5],[2,6,7],[8]] => [8,2,6,7,1,3,4,5] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,7],[4,6,8],[5]] => [[1,3,4,8],[2,5,7],[6]] => [6,2,5,7,1,3,4,8] => ([(1,6),(1,7),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,4,8],[6]] => [[1,3,5,7],[2,4,8],[6]] => [6,2,4,8,1,3,5,7] => ([(0,6),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[[1,2,5,7],[3,4,8],[6]] => [[1,3,5,6],[2,4,8],[7]] => [7,2,4,8,1,3,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[[1,3,4,7],[2,5,8],[6]] => [[1,3,6,7],[2,4,8],[5]] => [5,2,4,8,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4,7],[3,5,8],[6]] => [[1,3,6,8],[2,4,7],[5]] => [5,2,4,7,1,3,6,8] => ([(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,5,6],[2,7,8],[4]] => [[1,2,5,7],[3,4,6],[8]] => [8,3,4,6,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,7,8],[5]] => [[1,2,4,7],[3,5,6],[8]] => [8,3,5,6,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,6],[4,7,8],[5]] => [[1,2,4,8],[3,5,7],[6]] => [6,3,5,7,1,2,4,8] => ([(1,2),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,7,8],[6]] => [[1,2,3,7],[4,5,6],[8]] => [8,4,5,6,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3,7,8],[6]] => [[1,2,3,8],[4,5,6],[7]] => [7,4,5,6,1,2,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,3,4],[5,7,8],[6]] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,3,5,6],[2,4,8],[7]] => [[1,2,5,7],[3,4,8],[6]] => [6,3,4,8,1,2,5,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,5,6],[3,4,8],[7]] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,4],[5,6,8],[7]] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => ([(1,2),(1,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,5,7],[2,4,6],[8]] => [[1,3,5,7],[2,6,8],[4]] => [4,2,6,8,1,3,5,7] => ([(0,7),(1,4),(1,7),(2,5),(2,6),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[[1,3,4,7],[2,5,6],[8]] => [[1,3,4,7],[2,6,8],[5]] => [5,2,6,8,1,3,4,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[[1,2,3,7],[4,5,6],[8]] => [[1,3,4,5],[2,7,8],[6]] => [6,2,7,8,1,3,4,5] => ([(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[[1,2,5,6],[3,4,7],[8]] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => ([(0,1),(0,7),(1,7),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,5,7],[8]] => [[1,4,6,8],[2,5,7],[3]] => [3,2,5,7,1,4,6,8] => ([(1,6),(2,3),(2,7),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[[1,3,4,5],[2,6,7],[8]] => [[1,3,6,7],[2,5,8],[4]] => [4,2,5,8,1,3,6,7] => ([(0,6),(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[[1,2,4,5],[3,6,7],[8]] => [[1,3,6,8],[2,5,7],[4]] => [4,2,5,7,1,3,6,8] => ([(1,6),(2,4),(2,7),(3,5),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,6,7],[8]] => [[1,3,5,8],[2,6,7],[4]] => [4,2,6,7,1,3,5,8] => ([(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,4],[5,6,7],[8]] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => ([(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[[1,4,7,8],[2,5],[3,6]] => [[1,2,3,6],[4,7],[5,8]] => [5,8,4,7,1,2,3,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,7,8],[3,5],[4,6]] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,7,8],[2,4],[5,6]] => [[1,2,3,4],[5,7],[6,8]] => [6,8,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(6,7)],8)
[[1,2,7,8],[3,4],[5,6]] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4,6,8],[2,5],[3,7]] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[[1,3,6,8],[2,4],[5,7]] => [[1,2,4,7],[3,5],[6,8]] => [6,8,3,5,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[[1,2,6,8],[3,4],[5,7]] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4,5,8],[2,6],[3,7]] => [[1,2,5,6],[3,7],[4,8]] => [4,8,3,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,6],[4,7]] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,6],[5,7]] => [[1,2,4,7],[3,6],[5,8]] => [5,8,3,6,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[[1,2,5,8],[3,4],[6,7]] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,8],[2,5],[6,7]] => [[1,2,3,7],[4,6],[5,8]] => [5,8,4,6,1,2,3,7] => ([(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,7],[2,5],[3,8]] => [[1,3,4,6],[2,7],[5,8]] => [5,8,2,7,1,3,4,6] => ([(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,5],[4,8]] => [[1,3,4,5],[2,7],[6,8]] => [6,8,2,7,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[[1,2,6,7],[3,4],[5,8]] => [[1,3,4,6],[2,5],[7,8]] => [7,8,2,5,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4,5,7],[2,6],[3,8]] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,6],[5,8]] => [[1,3,4,8],[2,6],[5,7]] => [5,7,2,6,1,3,4,8] => ([(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,6],[5,8]] => [[1,3,4,8],[2,5],[6,7]] => [6,7,2,5,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,5,7],[3,4],[6,8]] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,7],[2,5],[6,8]] => [[1,3,6,7],[2,4],[5,8]] => [5,8,2,4,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4,7],[3,5],[6,8]] => [[1,3,6,8],[2,4],[5,7]] => [5,7,2,4,1,3,6,8] => ([(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4,5,6],[2,7],[3,8]] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,6],[2,7],[4,8]] => [[1,4,5,7],[2,6],[3,8]] => [3,8,2,6,1,4,5,7] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,7],[4,8]] => [[1,4,5,8],[2,6],[3,7]] => [3,7,2,6,1,4,5,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,7],[5,8]] => [[1,4,6,8],[2,5],[3,7]] => [3,7,2,5,1,4,6,8] => ([(1,7),(2,4),(2,7),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,7],[5,8]] => [[1,4,7,8],[2,5],[3,6]] => [3,6,2,5,1,4,7,8] => ([(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,7],[6,8]] => [[1,3,6,7],[2,5],[4,8]] => [4,8,2,5,1,3,6,7] => ([(0,7),(1,7),(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,7],[6,8]] => [[1,3,7,8],[2,5],[4,6]] => [4,6,2,5,1,3,7,8] => ([(2,3),(2,5),(2,7),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,7],[6,8]] => [[1,3,7,8],[2,4],[5,6]] => [5,6,2,4,1,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,5,6],[3,4],[7,8]] => [[1,2,5,6],[3,4],[7,8]] => [7,8,3,4,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4,6],[2,5],[7,8]] => [[1,2,6,7],[3,4],[5,8]] => [5,8,3,4,1,2,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,6],[4,5],[7,8]] => [[1,2,5,8],[3,4],[6,7]] => [6,7,3,4,1,2,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4,5],[3,6],[7,8]] => [[1,2,6,8],[3,5],[4,7]] => [4,7,3,5,1,2,6,8] => ([(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,5],[4,6],[7,8]] => [[1,2,7,8],[3,5],[4,6]] => [4,6,3,5,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,4],[5,6],[7,8]] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,5,7,8],[2,6],[3],[4]] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7,8],[2,6],[3],[5]] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7,8],[2,6],[4],[5]] => [[1,2,3,4],[5,7],[6],[8]] => [8,6,5,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7,8],[3,6],[4],[5]] => [[1,2,3,4],[5,8],[6],[7]] => [7,6,5,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7,8],[3,4],[5],[6]] => [[1,2,3,6],[4,8],[5],[7]] => [7,5,4,8,1,2,3,6] => ([(0,4),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(5,6),(5,7),(6,7)],8)
[[1,5,6,8],[2,7],[3],[4]] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,8],[2,7],[3],[5]] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,8],[3,7],[4],[5]] => [[1,2,4,8],[3,5],[6],[7]] => [7,6,3,5,1,2,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,8],[2,7],[3],[6]] => [[1,2,3,6],[4,5],[7],[8]] => [8,7,4,5,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,8],[2,7],[4],[6]] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,8],[2,5],[3],[7]] => [[1,2,4,6],[3,7],[5],[8]] => [8,5,3,7,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,6,8],[2,5],[4],[7]] => [[1,2,4,5],[3,7],[6],[8]] => [8,6,3,7,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,6,8],[2,4],[5],[7]] => [[1,2,4,7],[3,8],[5],[6]] => [6,5,3,8,1,2,4,7] => ([(0,5),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[[1,2,6,8],[3,4],[5],[7]] => [[1,2,4,6],[3,8],[5],[7]] => [7,5,3,8,1,2,4,6] => ([(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[[1,4,5,8],[2,6],[3],[7]] => [[1,2,5,6],[3,7],[4],[8]] => [8,4,3,7,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,6],[4],[7]] => [[1,2,5,8],[3,6],[4],[7]] => [7,4,3,6,1,2,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,6],[5],[7]] => [[1,2,4,7],[3,6],[5],[8]] => [8,5,3,6,1,2,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,4,8],[3,6],[5],[7]] => [[1,2,4,8],[3,6],[5],[7]] => [7,5,3,6,1,2,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,8],[4,6],[5],[7]] => [[1,2,4,8],[3,7],[5],[6]] => [6,5,3,7,1,2,4,8] => ([(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,8],[2,4],[6],[7]] => [[1,2,5,7],[3,8],[4],[6]] => [6,4,3,8,1,2,5,7] => ([(0,6),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,5,8],[3,4],[6],[7]] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3,8],[4,5],[6],[7]] => [[1,2,5,8],[3,7],[4],[6]] => [6,4,3,7,1,2,5,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,5,6,7],[2,8],[3],[4]] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,7],[2,8],[3],[5]] => [[1,3,4,6],[2,5],[7],[8]] => [8,7,2,5,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,8],[4],[5]] => [[1,3,4,7],[2,5],[6],[8]] => [8,6,2,5,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,7],[2,8],[3],[6]] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,8],[4],[6]] => [[1,3,5,7],[2,4],[6],[8]] => [8,6,2,4,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,8],[5],[6]] => [[1,3,7,8],[2,4],[5],[6]] => [6,5,2,4,1,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6],[2,8],[3],[7]] => [[1,2,5,6],[3,4],[7],[8]] => [8,7,3,4,1,2,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,6],[2,8],[4],[7]] => [[1,2,5,7],[3,4],[6],[8]] => [8,6,3,4,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,8],[5],[7]] => [[1,2,6,7],[3,4],[5],[8]] => [8,5,3,4,1,2,6,7] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,8],[6],[7]] => [[1,2,7,8],[3,5],[4],[6]] => [6,4,3,5,1,2,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3,4],[5,8],[6],[7]] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4,6,7],[2,5],[3],[8]] => [[1,3,4,6],[2,7],[5],[8]] => [8,5,2,7,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,6,7],[3,5],[4],[8]] => [[1,3,4,5],[2,8],[6],[7]] => [7,6,2,8,1,3,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,4],[5],[8]] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => ([(0,5),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(6,7)],8)
[[1,4,5,7],[2,6],[3],[8]] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,5,7],[2,6],[4],[8]] => [[1,3,5,7],[2,6],[4],[8]] => [8,4,2,6,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,4,7],[3,6],[5],[8]] => [[1,3,4,8],[2,6],[5],[7]] => [7,5,2,6,1,3,4,8] => ([(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,6],[5],[8]] => [[1,3,4,8],[2,7],[5],[6]] => [6,5,2,7,1,3,4,8] => ([(1,3),(1,6),(1,7),(2,3),(2,6),(2,7),(3,5),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,4],[6],[8]] => [[1,3,5,7],[2,8],[4],[6]] => [6,4,2,8,1,3,5,7] => ([(0,6),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[[1,2,5,7],[3,4],[6],[8]] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[[1,2,3,7],[4,5],[6],[8]] => [[1,3,5,8],[2,7],[4],[6]] => [6,4,2,7,1,3,5,8] => ([(1,4),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[[1,4,5,6],[2,7],[3],[8]] => [[1,4,5,6],[2,7],[3],[8]] => [8,3,2,7,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,6],[2,7],[4],[8]] => [[1,4,5,7],[2,6],[3],[8]] => [8,3,2,6,1,4,5,7] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,7],[4],[8]] => [[1,4,5,8],[2,6],[3],[7]] => [7,3,2,6,1,4,5,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,7],[5],[8]] => [[1,4,6,7],[2,5],[3],[8]] => [8,3,2,5,1,4,6,7] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,7],[5],[8]] => [[1,4,6,8],[2,5],[3],[7]] => [7,3,2,5,1,4,6,8] => ([(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,7],[5],[8]] => [[1,4,7,8],[2,5],[3],[6]] => [6,3,2,5,1,4,7,8] => ([(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,7],[6],[8]] => [[1,3,6,7],[2,5],[4],[8]] => [8,4,2,5,1,3,6,7] => ([(0,7),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5],[3,7],[6],[8]] => [[1,3,6,8],[2,5],[4],[7]] => [7,4,2,5,1,3,6,8] => ([(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,7],[6],[8]] => [[1,3,7,8],[2,6],[4],[5]] => [5,4,2,6,1,3,7,8] => ([(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,4],[7],[8]] => [[1,4,5,6],[2,8],[3],[7]] => [7,3,2,8,1,4,5,6] => ([(0,5),(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[[1,2,4,6],[3,5],[7],[8]] => [[1,4,6,8],[2,7],[3],[5]] => [5,3,2,7,1,4,6,8] => ([(1,5),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[[1,2,3,6],[4,5],[7],[8]] => [[1,4,5,8],[2,7],[3],[6]] => [6,3,2,7,1,4,5,8] => ([(1,5),(1,7),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[[1,3,4,5],[2,6],[7],[8]] => [[1,5,6,7],[2,8],[3],[4]] => [4,3,2,8,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3,6],[7],[8]] => [[1,5,6,8],[2,7],[3],[4]] => [4,3,2,7,1,5,6,8] => ([(1,6),(2,6),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[[1,2,3,5],[4,6],[7],[8]] => [[1,5,7,8],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8] => ([(2,3),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,6],[7],[8]] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => ([(2,3),(2,7),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6,7,8],[2],[3],[4],[5]] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,7,8],[2],[3],[4],[6]] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7,8],[2],[3],[5],[6]] => [[1,2,3,6],[4],[5],[7],[8]] => [8,7,5,4,1,2,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7,8],[2],[4],[5],[6]] => [[1,2,3,7],[4],[5],[6],[8]] => [8,6,5,4,1,2,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7,8],[3],[4],[5],[6]] => [[1,2,3,8],[4],[5],[6],[7]] => [7,6,5,4,1,2,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6,8],[2],[3],[4],[7]] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,8],[2],[3],[5],[7]] => [[1,2,4,6],[3],[5],[7],[8]] => [8,7,5,3,1,2,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,8],[2],[4],[6],[7]] => [[1,2,5,7],[3],[4],[6],[8]] => [8,6,4,3,1,2,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3],[4],[6],[7]] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => ([(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,8],[3],[5],[6],[7]] => [[1,2,6,8],[3],[4],[5],[7]] => [7,5,4,3,1,2,6,8] => ([(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => [6,5,4,3,1,2,7,8] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6,7],[2],[3],[4],[8]] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,7],[2],[3],[5],[8]] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2],[4],[5],[8]] => [[1,3,4,7],[2],[5],[6],[8]] => [8,6,5,2,1,3,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7],[3],[4],[5],[8]] => [[1,3,4,8],[2],[5],[6],[7]] => [7,6,5,2,1,3,4,8] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,7],[2],[3],[6],[8]] => [[1,3,5,6],[2],[4],[7],[8]] => [8,7,4,2,1,3,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2],[4],[6],[8]] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3],[4],[6],[8]] => [[1,3,5,8],[2],[4],[6],[7]] => [7,6,4,2,1,3,5,8] => ([(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2],[5],[6],[8]] => [[1,3,6,7],[2],[4],[5],[8]] => [8,5,4,2,1,3,6,7] => ([(0,7),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4],[5],[6],[8]] => [[1,3,7,8],[2],[4],[5],[6]] => [6,5,4,2,1,3,7,8] => ([(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6],[2],[3],[7],[8]] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,6],[2],[4],[7],[8]] => [[1,4,5,7],[2],[3],[6],[8]] => [8,6,3,2,1,4,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3],[4],[7],[8]] => [[1,4,5,8],[2],[3],[6],[7]] => [7,6,3,2,1,4,5,8] => ([(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2],[5],[7],[8]] => [[1,4,6,7],[2],[3],[5],[8]] => [8,5,3,2,1,4,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3],[5],[7],[8]] => [[1,4,6,8],[2],[3],[5],[7]] => [7,5,3,2,1,4,6,8] => ([(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4],[5],[7],[8]] => [[1,4,7,8],[2],[3],[5],[6]] => [6,5,3,2,1,4,7,8] => ([(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2],[6],[7],[8]] => [[1,5,6,7],[2],[3],[4],[8]] => [8,4,3,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5],[3],[6],[7],[8]] => [[1,5,6,8],[2],[3],[4],[7]] => [7,4,3,2,1,5,6,8] => ([(1,7),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4],[6],[7],[8]] => [[1,5,7,8],[2],[3],[4],[6]] => [6,4,3,2,1,5,7,8] => ([(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5],[6],[7],[8]] => [[1,6,7,8],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8] => ([(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,5,8],[3,6]] => [[1,3,6],[2,4,7],[5,8]] => [5,8,2,4,7,1,3,6] => ([(0,5),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,5,8],[4,6]] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,7],[2,4,8],[5,6]] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[[1,2,7],[3,4,8],[5,6]] => [[1,3,4],[2,5,6],[7,8]] => [7,8,2,5,6,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,6],[3,5,8],[4,7]] => [[1,2,5],[3,4,6],[7,8]] => [7,8,3,4,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,6],[3,4,8],[5,7]] => [[1,2,4],[3,5,6],[7,8]] => [7,8,3,5,6,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4,5],[2,6,8],[3,7]] => [[1,2,6],[3,5,7],[4,8]] => [4,8,3,5,7,1,2,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,5],[3,6,8],[4,7]] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => ([(0,1),(0,5),(0,6),(1,3),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,4],[2,6,8],[5,7]] => [[1,2,4],[3,6,7],[5,8]] => [5,8,3,6,7,1,2,4] => ([(0,1),(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3],[4,6,8],[5,7]] => [[1,2,4],[3,5,8],[6,7]] => [6,7,3,5,8,1,2,4] => ([(0,2),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,5],[2,4,8],[6,7]] => [[1,2,3],[4,5,7],[6,8]] => [6,8,4,5,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,5],[3,4,8],[6,7]] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4],[3,5,8],[6,7]] => [[1,2,3],[4,6,8],[5,7]] => [5,7,4,6,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,2,3],[4,5,8],[6,7]] => [[1,2,3],[4,5,8],[6,7]] => [6,7,4,5,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,4,6],[2,5,7],[3,8]] => [[1,4,6],[2,5,7],[3,8]] => [3,8,2,5,7,1,4,6] => ([(0,4),(0,6),(1,5),(1,7),(2,3),(2,6),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5,7],[4,8]] => [[1,4,5],[2,6,7],[3,8]] => [3,8,2,6,7,1,4,5] => ([(0,3),(0,6),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4,7],[5,8]] => [[1,4,7],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7] => ([(0,5),(1,4),(1,7),(2,3),(2,5),(2,6),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,4],[2,6,7],[5,8]] => [[1,3,4],[2,6,7],[5,8]] => [5,8,2,6,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[[1,2,4],[3,6,7],[5,8]] => [[1,3,4],[2,6,8],[5,7]] => [5,7,2,6,8,1,3,4] => ([(0,4),(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(6,7)],8)
[[1,2,5],[3,4,7],[6,8]] => [[1,3,6],[2,5,8],[4,7]] => [4,7,2,5,8,1,3,6] => ([(0,4),(0,7),(1,2),(1,6),(1,7),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[[1,3,4],[2,5,7],[6,8]] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => ([(0,2),(1,5),(1,6),(1,7),(2,3),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,5,7],[6,8]] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,3),(2,6),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[[1,2,5],[3,4,6],[7,8]] => [[1,2,6],[3,5,8],[4,7]] => [4,7,3,5,8,1,2,6] => ([(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,5,6],[7,8]] => [[1,2,6],[3,4,8],[5,7]] => [5,7,3,4,8,1,2,6] => ([(0,1),(0,7),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3],[4,5,6],[7,8]] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,5,7],[2,6,8],[3],[4]] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,6,8],[3],[5]] => [[1,3,4],[2,5,6],[7],[8]] => [8,7,2,5,6,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,6,8],[4],[5]] => [[1,3,4],[2,5,7],[6],[8]] => [8,6,2,5,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,5,8],[3],[6]] => [[1,3,6],[2,4,7],[5],[8]] => [8,5,2,4,7,1,3,6] => ([(0,4),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,5,8],[4],[6]] => [[1,3,5],[2,4,7],[6],[8]] => [8,6,2,4,7,1,3,5] => ([(0,4),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,5,8],[4],[6]] => [[1,3,5],[2,4,8],[6],[7]] => [7,6,2,4,8,1,3,5] => ([(0,2),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,5),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,4,8],[5],[6]] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => ([(0,2),(1,5),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6],[2,7,8],[3],[4]] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,7,8],[4],[5]] => [[1,2,4],[3,5,7],[6],[8]] => [8,6,3,5,7,1,2,4] => ([(0,1),(0,5),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,7,8],[4],[5]] => [[1,2,4],[3,5,8],[6],[7]] => [7,6,3,5,8,1,2,4] => ([(0,2),(0,4),(0,5),(1,4),(1,5),(1,6),(1,7),(2,3),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,7,8],[3],[6]] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,7,8],[4],[6]] => [[1,2,3],[4,5,7],[6],[8]] => [8,6,4,5,7,1,2,3] => ([(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,7,8],[5],[6]] => [[1,2,3],[4,6,7],[5],[8]] => [8,5,4,6,7,1,2,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,7,8],[5],[6]] => [[1,2,3],[4,6,8],[5],[7]] => [7,5,4,6,8,1,2,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,3],[4,7,8],[5],[6]] => [[1,2,3],[4,7,8],[5],[6]] => [6,5,4,7,8,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[1,3,4],[2,6,8],[5],[7]] => [[1,2,4],[3,6,7],[5],[8]] => [8,5,3,6,7,1,2,4] => ([(0,1),(0,2),(0,6),(0,7),(1,4),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6,8],[5],[7]] => [[1,2,4],[3,6,8],[5],[7]] => [7,5,3,6,8,1,2,4] => ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,5],[2,4,8],[6],[7]] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => ([(0,2),(1,5),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,5],[3,4,8],[6],[7]] => [[1,2,6],[3,5,8],[4],[7]] => [7,4,3,5,8,1,2,6] => ([(0,2),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,4],[2,5,8],[6],[7]] => [[1,2,7],[3,6,8],[4],[5]] => [5,4,3,6,8,1,2,7] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4],[3,5,8],[6],[7]] => [[1,2,6],[3,7,8],[4],[5]] => [5,4,3,7,8,1,2,6] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,3],[4,5,8],[6],[7]] => [[1,2,5],[3,7,8],[4],[6]] => [6,4,3,7,8,1,2,5] => ([(0,1),(0,2),(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,4,6],[2,5,7],[3],[8]] => [[1,4,6],[2,5,7],[3],[8]] => [8,3,2,5,7,1,4,6] => ([(0,5),(0,7),(1,2),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5,7],[4],[8]] => [[1,4,5],[2,6,7],[3],[8]] => [8,3,2,6,7,1,4,5] => ([(0,1),(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4,7],[5],[8]] => [[1,4,7],[2,5,8],[3],[6]] => [6,3,2,5,8,1,4,7] => ([(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,7),(6,7)],8)
[[1,4,5],[2,6,7],[3],[8]] => [[1,3,6],[2,5,7],[4],[8]] => [8,4,2,5,7,1,3,6] => ([(0,5),(0,7),(1,3),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6,7],[5],[8]] => [[1,3,4],[2,6,7],[5],[8]] => [8,5,2,6,7,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6,7],[5],[8]] => [[1,3,4],[2,6,8],[5],[7]] => [7,5,2,6,8,1,3,4] => ([(0,3),(0,4),(0,6),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6,7],[5],[8]] => [[1,3,4],[2,7,8],[5],[6]] => [6,5,2,7,8,1,3,4] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4,7],[6],[8]] => [[1,3,6],[2,5,8],[4],[7]] => [7,4,2,5,8,1,3,6] => ([(0,3),(0,7),(1,4),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5,7],[6],[8]] => [[1,3,7],[2,6,8],[4],[5]] => [5,4,2,6,8,1,3,7] => ([(0,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,4],[3,5,7],[6],[8]] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,4),(2,7),(3,4),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5,7],[6],[8]] => [[1,3,5],[2,7,8],[4],[6]] => [6,4,2,7,8,1,3,5] => ([(0,2),(0,3),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(3,4),(3,6),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4,6],[7],[8]] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => ([(0,6),(1,2),(1,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,7),(6,7)],8)
[[1,2,5],[3,4,6],[7],[8]] => [[1,5,6],[2,7,8],[3],[4]] => [4,3,2,7,8,1,5,6] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,7),(3,4),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,4],[2,5,6],[7],[8]] => [[1,4,7],[2,6,8],[3],[5]] => [5,3,2,6,8,1,4,7] => ([(0,5),(1,4),(1,7),(2,3),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,4],[3,5,6],[7],[8]] => [[1,4,6],[2,7,8],[3],[5]] => [5,3,2,7,8,1,4,6] => ([(0,4),(0,5),(1,4),(1,5),(1,6),(2,3),(2,6),(2,7),(3,6),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,3],[4,5,6],[7],[8]] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => ([(0,2),(0,3),(0,7),(1,2),(1,3),(1,7),(2,6),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,8],[2,6],[3,7],[4]] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,6],[4,7],[5]] => [[1,2,4],[3,5],[6,7],[8]] => [8,6,7,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3,6],[4,7],[5]] => [[1,2,4],[3,5],[6,8],[7]] => [7,6,8,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,5],[4,7],[6]] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,8],[3,4],[5,7],[6]] => [[1,2,3],[4,6],[5,8],[7]] => [7,5,8,4,6,1,2,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,8],[2,5],[3,6],[7]] => [[1,2,6],[3,7],[4,8],[5]] => [5,4,8,3,7,1,2,6] => ([(0,3),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,5,7],[2,6],[3,8],[4]] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,2),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,6],[3,8],[5]] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => ([(0,3),(0,4),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,6],[4,8],[5]] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,6],[4,8],[5]] => [[1,3,4],[2,5],[6,8],[7]] => [7,6,8,2,5,1,3,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,5],[3,8],[6]] => [[1,3,6],[2,4],[5,7],[8]] => [8,5,7,2,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,7],[2,5],[4,8],[6]] => [[1,3,5],[2,4],[6,7],[8]] => [8,6,7,2,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,7],[2,4],[5,8],[6]] => [[1,3,7],[2,4],[5,8],[6]] => [6,5,8,2,4,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6)],8)
[[1,2,7],[3,4],[5,8],[6]] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => ([(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7)],8)
[[1,5,6],[2,7],[3,8],[4]] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2,7],[3,8],[5]] => [[1,4,6],[2,5],[3,7],[8]] => [8,3,7,2,5,1,4,6] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,7],[4,8],[5]] => [[1,4,7],[2,5],[3,6],[8]] => [8,3,6,2,5,1,4,7] => ([(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,7],[4,8],[5]] => [[1,4,8],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4,8] => ([(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,7],[4,8],[6]] => [[1,3,7],[2,5],[4,6],[8]] => [8,4,6,2,5,1,3,7] => ([(0,7),(1,2),(1,4),(1,6),(1,7),(2,3),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,7],[5,8],[6]] => [[1,3,7],[2,4],[5,6],[8]] => [8,5,6,2,4,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,6],[2,5],[4,8],[7]] => [[1,2,5],[3,4],[6,7],[8]] => [8,6,7,3,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,6],[2,4],[5,8],[7]] => [[1,2,7],[3,4],[5,8],[6]] => [6,5,8,3,4,1,2,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,4,5],[2,6],[3,8],[7]] => [[1,2,6],[3,5],[4,7],[8]] => [8,4,7,3,5,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6],[5,8],[7]] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3],[4,6],[5,8],[7]] => [[1,2,8],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,5],[2,4],[6,8],[7]] => [[1,2,7],[3,5],[4,8],[6]] => [6,4,8,3,5,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(5,7),(6,7)],8)
[[1,2,5],[3,4],[6,8],[7]] => [[1,2,6],[3,5],[4,8],[7]] => [7,4,8,3,5,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3,4],[2,5],[6,8],[7]] => [[1,2,7],[3,6],[4,8],[5]] => [5,4,8,3,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,4,7],[2,5],[3,6],[8]] => [[1,3,6],[2,7],[4,8],[5]] => [5,4,8,2,7,1,3,6] => ([(0,5),(0,7),(1,2),(1,3),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,5],[4,6],[8]] => [[1,3,5],[2,7],[4,8],[6]] => [6,4,8,2,7,1,3,5] => ([(0,4),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7)],8)
[[1,2,7],[3,4],[5,6],[8]] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,7),(6,7)],8)
[[1,4,6],[2,5],[3,7],[8]] => [[1,4,6],[2,7],[3,8],[5]] => [5,3,8,2,7,1,4,6] => ([(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,6),(3,4),(3,6),(3,7),(4,6),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5],[4,7],[8]] => [[1,4,5],[2,7],[3,8],[6]] => [6,3,8,2,7,1,4,5] => ([(0,3),(0,5),(0,6),(1,3),(1,5),(1,6),(2,4),(2,5),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3,6],[2,4],[5,7],[8]] => [[1,4,7],[2,5],[3,8],[6]] => [6,3,8,2,5,1,4,7] => ([(0,7),(1,3),(1,5),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2,6],[3,4],[5,7],[8]] => [[1,4,6],[2,5],[3,8],[7]] => [7,3,8,2,5,1,4,6] => ([(0,6),(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4,5],[2,6],[3,7],[8]] => [[1,5,6],[2,7],[3,8],[4]] => [4,3,8,2,7,1,5,6] => ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,6],[4,7],[8]] => [[1,5,7],[2,6],[3,8],[4]] => [4,3,8,2,6,1,5,7] => ([(0,7),(1,4),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,6],[4,7],[8]] => [[1,5,8],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8] => ([(1,4),(1,6),(2,3),(2,5),(2,7),(3,5),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6],[5,7],[8]] => [[1,4,7],[2,6],[3,8],[5]] => [5,3,8,2,6,1,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,4),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6],[5,7],[8]] => [[1,4,8],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4,8] => ([(1,2),(1,5),(1,7),(2,4),(2,5),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6],[5,7],[8]] => [[1,4,8],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4,8] => ([(1,3),(1,4),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4],[6,7],[8]] => [[1,3,7],[2,5],[4,8],[6]] => [6,4,8,2,5,1,3,7] => ([(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[[1,3,4],[2,5],[6,7],[8]] => [[1,3,7],[2,6],[4,8],[5]] => [5,4,8,2,6,1,3,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,5],[6,7],[8]] => [[1,3,8],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,7),(5,6),(6,7)],8)
[[1,2,3],[4,5],[6,7],[8]] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => ([(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6,8],[2,7],[3],[4],[5]] => [[1,2,4],[3,5],[6],[7],[8]] => [8,7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,8],[2,7],[3],[4],[6]] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,8],[2,7],[3],[5],[6]] => [[1,2,3],[4,6],[5],[7],[8]] => [8,7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,7],[4],[5],[6]] => [[1,2,3],[4,7],[5],[6],[8]] => [8,6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3,7],[4],[5],[6]] => [[1,2,3],[4,8],[5],[6],[7]] => [7,6,5,4,8,1,2,3] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,8],[2,6],[3],[4],[7]] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,8],[2,6],[3],[5],[7]] => [[1,2,4],[3,6],[5],[7],[8]] => [8,7,5,3,6,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,5],[4],[6],[7]] => [[1,2,5],[3,7],[4],[6],[8]] => [8,6,4,3,7,1,2,5] => ([(0,1),(0,6),(0,7),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3,5],[4],[6],[7]] => [[1,2,5],[3,8],[4],[6],[7]] => [7,6,4,3,8,1,2,5] => ([(0,1),(0,4),(0,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,4],[5],[6],[7]] => [[1,2,7],[3,8],[4],[5],[6]] => [6,5,4,3,8,1,2,7] => ([(0,1),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,6,7],[2,8],[3],[4],[5]] => [[1,3,4],[2,5],[6],[7],[8]] => [8,7,6,2,5,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,7],[2,8],[3],[4],[6]] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,8],[4],[5],[6]] => [[1,3,7],[2,4],[5],[6],[8]] => [8,6,5,2,4,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6],[2,8],[3],[4],[7]] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2,8],[3],[5],[7]] => [[1,2,6],[3,4],[5],[7],[8]] => [8,7,5,3,4,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,8],[4],[5],[7]] => [[1,2,7],[3,4],[5],[6],[8]] => [8,6,5,3,4,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,8],[4],[5],[7]] => [[1,2,8],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,8],[5],[6],[7]] => [[1,2,7],[3,6],[4],[5],[8]] => [8,5,4,3,6,1,2,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2,3],[4,8],[5],[6],[7]] => [[1,2,8],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,5,7],[2,6],[3],[4],[8]] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,6],[3],[5],[8]] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,6],[4],[5],[8]] => [[1,3,4],[2,8],[5],[6],[7]] => [7,6,5,2,8,1,3,4] => ([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,4],[5],[6],[8]] => [[1,3,7],[2,8],[4],[5],[6]] => [6,5,4,2,8,1,3,7] => ([(0,1),(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,4],[5],[6],[8]] => [[1,3,6],[2,8],[4],[5],[7]] => [7,5,4,2,8,1,3,6] => ([(0,1),(0,7),(1,3),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6],[2,7],[3],[4],[8]] => [[1,4,5],[2,6],[3],[7],[8]] => [8,7,3,2,6,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,7],[5],[6],[8]] => [[1,3,7],[2,6],[4],[5],[8]] => [8,5,4,2,6,1,3,7] => ([(0,7),(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,7],[5],[6],[8]] => [[1,3,8],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3,8] => ([(1,3),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,7],[5],[6],[8]] => [[1,3,8],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3,8] => ([(1,3),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2,5],[3],[7],[8]] => [[1,4,6],[2,7],[3],[5],[8]] => [8,5,3,2,7,1,4,6] => ([(0,4),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5],[4],[7],[8]] => [[1,4,5],[2,7],[3],[6],[8]] => [8,6,3,2,7,1,4,5] => ([(0,4),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,5],[4],[7],[8]] => [[1,4,5],[2,8],[3],[6],[7]] => [7,6,3,2,8,1,4,5] => ([(0,2),(0,6),(0,7),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4],[5],[7],[8]] => [[1,4,7],[2,8],[3],[5],[6]] => [6,5,3,2,8,1,4,7] => ([(0,2),(1,2),(1,6),(1,7),(2,5),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,4],[5],[7],[8]] => [[1,4,6],[2,8],[3],[5],[7]] => [7,5,3,2,8,1,4,6] => ([(0,2),(0,7),(1,2),(1,5),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6],[5],[7],[8]] => [[1,4,7],[2,6],[3],[5],[8]] => [8,5,3,2,6,1,4,7] => ([(0,7),(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6],[5],[7],[8]] => [[1,4,8],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4,8] => ([(1,2),(1,6),(1,7),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6],[5],[7],[8]] => [[1,4,8],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4,8] => ([(1,2),(1,7),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5],[6],[7],[8]] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => ([(0,2),(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,5],[6],[7],[8]] => [[1,6,8],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8] => ([(1,2),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5],[6],[7],[8]] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => ([(1,2),(1,7),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,7,8],[2],[3],[4],[5],[6]] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6,8],[2],[3],[4],[5],[7]] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,8],[2],[3],[4],[6],[7]] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,8],[2],[3],[5],[6],[7]] => [[1,2,6],[3],[4],[5],[7],[8]] => [8,7,5,4,3,1,2,6] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2],[4],[5],[6],[7]] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3],[4],[5],[6],[7]] => [[1,2,8],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2,8] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6,7],[2],[3],[4],[5],[8]] => [[1,3,4],[2],[5],[6],[7],[8]] => [8,7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,7],[2],[3],[4],[6],[8]] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => ([(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2],[4],[5],[6],[8]] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => ([(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3],[4],[5],[6],[8]] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => ([(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6],[2],[3],[4],[7],[8]] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2],[3],[5],[7],[8]] => [[1,4,6],[2],[3],[5],[7],[8]] => [8,7,5,3,2,1,4,6] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2],[4],[5],[7],[8]] => [[1,4,7],[2],[3],[5],[6],[8]] => [8,6,5,3,2,1,4,7] => ([(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3],[4],[5],[7],[8]] => [[1,4,8],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4,8] => ([(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2],[3],[6],[7],[8]] => [[1,5,6],[2],[3],[4],[7],[8]] => [8,7,4,3,2,1,5,6] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2],[4],[6],[7],[8]] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => ([(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3],[4],[6],[7],[8]] => [[1,5,8],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5,8] => ([(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2],[5],[6],[7],[8]] => [[1,6,7],[2],[3],[4],[5],[8]] => [8,5,4,3,2,1,6,7] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3],[5],[6],[7],[8]] => [[1,6,8],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6,8] => ([(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4],[5],[6],[7],[8]] => [[1,7,8],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5],[2,6],[3,7],[4,8]] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,6],[3,7],[5,8]] => [[1,4],[2,6],[3,7],[5,8]] => [5,8,3,7,2,6,1,4] => ([(0,1),(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,6],[4,7],[5,8]] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[[1,2],[3,6],[4,7],[5,8]] => [[1,4],[2,5],[3,6],[7,8]] => [7,8,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4],[2,5],[3,7],[6,8]] => [[1,3],[2,6],[4,7],[5,8]] => [5,8,4,7,2,6,1,3] => ([(0,2),(0,3),(0,5),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(6,7)],8)
[[1,3],[2,5],[4,7],[6,8]] => [[1,3],[2,5],[4,7],[6,8]] => [6,8,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4,7],[6,8]] => [[1,3],[2,5],[4,6],[7,8]] => [7,8,4,6,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,4],[5,7],[6,8]] => [[1,3],[2,4],[5,7],[6,8]] => [6,8,5,7,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,6),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,4],[5,7],[6,8]] => [[1,3],[2,4],[5,6],[7,8]] => [7,8,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4],[2,5],[3,6],[7,8]] => [[1,2],[3,6],[4,7],[5,8]] => [5,8,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3],[2,5],[4,6],[7,8]] => [[1,2],[3,5],[4,7],[6,8]] => [6,8,4,7,3,5,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4,6],[7,8]] => [[1,2],[3,5],[4,6],[7,8]] => [7,8,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,3],[2,4],[5,6],[7,8]] => [[1,2],[3,4],[5,7],[6,8]] => [6,8,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,2],[3,4],[5,6],[7,8]] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,6],[2,7],[3,8],[4],[5]] => [[1,4],[2,5],[3,6],[7],[8]] => [8,7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5],[2,7],[3,8],[4],[6]] => [[1,3],[2,5],[4,6],[7],[8]] => [8,7,4,6,2,5,1,3] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,7],[3,8],[5],[6]] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,7],[4,8],[5],[6]] => [[1,3],[2,4],[5,7],[6],[8]] => [8,6,5,7,2,4,1,3] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,7],[4,8],[5],[6]] => [[1,3],[2,4],[5,8],[6],[7]] => [7,6,5,8,2,4,1,3] => ([(0,1),(0,2),(0,6),(0,7),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5],[2,6],[3,8],[4],[7]] => [[1,2],[3,5],[4,6],[7],[8]] => [8,7,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,6],[3,8],[5],[7]] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,6],[4,8],[5],[7]] => [[1,2],[3,4],[5,7],[6],[8]] => [8,6,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2],[3,6],[4,8],[5],[7]] => [[1,2],[3,4],[5,8],[6],[7]] => [7,6,5,8,3,4,1,2] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[1,4],[2,5],[3,8],[6],[7]] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3],[2,5],[4,8],[6],[7]] => [[1,2],[3,5],[4,7],[6],[8]] => [8,6,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,3],[2,4],[5,8],[6],[7]] => [[1,2],[3,7],[4,8],[5],[6]] => [6,5,4,8,3,7,1,2] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,5],[2,6],[3,7],[4],[8]] => [[1,5],[2,6],[3,7],[4],[8]] => [8,4,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,7),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,6],[3,7],[5],[8]] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => ([(0,1),(0,4),(0,6),(0,7),(1,3),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,6],[4,7],[5],[8]] => [[1,4],[2,5],[3,7],[6],[8]] => [8,6,3,7,2,5,1,4] => ([(0,2),(0,3),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,6],[4,7],[5],[8]] => [[1,4],[2,5],[3,8],[6],[7]] => [7,6,3,8,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,5],[3,7],[6],[8]] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,5],[4,7],[6],[8]] => [[1,3],[2,5],[4,7],[6],[8]] => [8,6,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,6),(0,7),(1,2),(1,4),(1,5),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4,7],[6],[8]] => [[1,3],[2,5],[4,8],[6],[7]] => [7,6,4,8,2,5,1,3] => ([(0,2),(0,3),(0,4),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,4],[5,7],[6],[8]] => [[1,3],[2,6],[4,8],[5],[7]] => [7,5,4,8,2,6,1,3] => ([(0,1),(0,4),(0,5),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,6),(4,7),(5,6),(6,7)],8)
[[1,4],[2,5],[3,6],[7],[8]] => [[1,6],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6] => ([(0,1),(0,5),(1,5),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,5],[4,6],[7],[8]] => [[1,5],[2,7],[3,8],[4],[6]] => [6,4,3,8,2,7,1,5] => ([(0,1),(0,4),(0,6),(1,4),(1,7),(2,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4,6],[7],[8]] => [[1,5],[2,6],[3,8],[4],[7]] => [7,4,3,8,2,6,1,5] => ([(0,3),(0,4),(0,7),(1,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,6),(5,6),(5,7),(6,7)],8)
[[1,3],[2,4],[5,6],[7],[8]] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => ([(0,2),(0,3),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,7),(3,5),(3,6),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,4],[5,6],[7],[8]] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => ([(0,1),(0,2),(0,6),(0,7),(1,2),(1,5),(1,7),(2,4),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,7],[2,8],[3],[4],[5],[6]] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6],[2,8],[3],[4],[5],[7]] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,8],[4],[5],[6],[7]] => [[1,2],[3,7],[4],[5],[6],[8]] => [8,6,5,4,3,7,1,2] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,7),(6,7)],8)
[[1,2],[3,8],[4],[5],[6],[7]] => [[1,2],[3,8],[4],[5],[6],[7]] => [7,6,5,4,3,8,1,2] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7)],8)
[[1,6],[2,7],[3],[4],[5],[8]] => [[1,4],[2,5],[3],[6],[7],[8]] => [8,7,6,3,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5],[2,7],[3],[4],[6],[8]] => [[1,3],[2,5],[4],[6],[7],[8]] => [8,7,6,4,2,5,1,3] => ([(0,1),(0,4),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,7],[3],[5],[6],[8]] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => ([(0,2),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,7],[4],[5],[6],[8]] => [[1,3],[2,8],[4],[5],[6],[7]] => [7,6,5,4,2,8,1,3] => ([(0,2),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5],[2,6],[3],[4],[7],[8]] => [[1,5],[2,6],[3],[4],[7],[8]] => [8,7,4,3,2,6,1,5] => ([(0,1),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,6],[3],[5],[7],[8]] => [[1,4],[2,6],[3],[5],[7],[8]] => [8,7,5,3,2,6,1,4] => ([(0,1),(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,5],[3],[6],[7],[8]] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => ([(0,1),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,4],[5],[6],[7],[8]] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => ([(0,1),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,4],[5],[6],[7],[8]] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => ([(0,1),(0,7),(1,6),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,8],[2],[3],[4],[5],[6],[7]] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,7],[2],[3],[4],[5],[6],[8]] => [[1,3],[2],[4],[5],[6],[7],[8]] => [8,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6],[2],[3],[4],[5],[7],[8]] => [[1,4],[2],[3],[5],[6],[7],[8]] => [8,7,6,5,3,2,1,4] => ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5],[2],[3],[4],[6],[7],[8]] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2],[3],[5],[6],[7],[8]] => [[1,6],[2],[3],[4],[5],[7],[8]] => [8,7,5,4,3,2,1,6] => ([(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2],[4],[5],[6],[7],[8]] => [[1,7],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7] => ([(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3],[4],[5],[6],[7],[8]] => [[1,8],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1],[2],[3],[4],[5],[6],[7],[8]] => [[1],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7,9],[2,4,6,8,10]] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => ([(0,9),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[[1,3,5,7,8],[2,4,6,9,10]] => [[1,2,5,7,9],[3,4,6,8,10]] => [3,4,6,8,10,1,2,5,7,9] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[[1,3,5,6,9],[2,4,7,8,10]] => [[1,3,4,7,9],[2,5,6,8,10]] => [2,5,6,8,10,1,3,4,7,9] => ([(0,9),(1,8),(2,7),(2,9),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[[1,3,5,6,8],[2,4,7,9,10]] => [[1,2,4,7,9],[3,5,6,8,10]] => [3,5,6,8,10,1,2,4,7,9] => ([(0,9),(1,7),(1,8),(2,6),(2,9),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[[1,3,5,6,7],[2,4,8,9,10]] => [[1,2,3,7,9],[4,5,6,8,10]] => [4,5,6,8,10,1,2,3,7,9] => ([(0,9),(1,5),(1,9),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[[1,3,4,7,9],[2,5,6,8,10]] => [[1,3,5,6,9],[2,4,7,8,10]] => [2,4,7,8,10,1,3,5,6,9] => ([(0,9),(1,8),(2,7),(2,9),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[[1,3,4,7,8],[2,5,6,9,10]] => [[1,2,5,6,9],[3,4,7,8,10]] => [3,4,7,8,10,1,2,5,6,9] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[[1,3,4,6,9],[2,5,7,8,10]] => [[1,3,4,6,9],[2,5,7,8,10]] => [2,5,7,8,10,1,3,4,6,9] => ([(0,9),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[[1,3,4,6,8],[2,5,7,9,10]] => [[1,2,4,6,9],[3,5,7,8,10]] => [3,5,7,8,10,1,2,4,6,9] => ([(0,9),(1,7),(1,8),(2,5),(2,6),(2,9),(3,4),(3,7),(3,8),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[[1,3,4,6,7],[2,5,8,9,10]] => [[1,2,3,6,9],[4,5,7,8,10]] => [4,5,7,8,10,1,2,3,6,9] => ([(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,9],[2,6,7,8,10]] => [[1,3,4,5,9],[2,6,7,8,10]] => [2,6,7,8,10,1,3,4,5,9] => ([(0,9),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,8],[2,6,7,9,10]] => [[1,2,4,5,9],[3,6,7,8,10]] => [3,6,7,8,10,1,2,4,5,9] => ([(0,9),(1,7),(1,8),(2,4),(2,5),(2,6),(2,9),(3,4),(3,5),(3,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[[1,3,4,5,7],[2,6,8,9,10]] => [[1,2,3,5,9],[4,6,7,8,10]] => [4,6,7,8,10,1,2,3,5,9] => ([(0,9),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6],[2,7,8,9,10]] => [[1,2,3,4,9],[5,6,7,8,10]] => [5,6,7,8,10,1,2,3,4,9] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,5,7,9],[3,4,6,8,10]] => [[1,3,5,7,8],[2,4,6,9,10]] => [2,4,6,9,10,1,3,5,7,8] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,5,7,8],[3,4,6,9,10]] => [[1,2,5,7,8],[3,4,6,9,10]] => [3,4,6,9,10,1,2,5,7,8] => ([(0,6),(0,7),(1,6),(1,7),(2,8),(2,9),(3,8),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,5,6,9],[3,4,7,8,10]] => [[1,3,4,7,8],[2,5,6,9,10]] => [2,5,6,9,10,1,3,4,7,8] => ([(0,9),(1,7),(1,8),(2,7),(2,8),(3,5),(3,6),(3,9),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,5,6,8],[3,4,7,9,10]] => [[1,2,4,7,8],[3,5,6,9,10]] => [3,5,6,9,10,1,2,4,7,8] => ([(0,6),(0,7),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,5,6,7],[3,4,8,9,10]] => [[1,2,3,7,8],[4,5,6,9,10]] => [4,5,6,9,10,1,2,3,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,4,7,9],[3,5,6,8,10]] => [[1,3,5,6,8],[2,4,7,9,10]] => [2,4,7,9,10,1,3,5,6,8] => ([(0,9),(1,7),(1,8),(2,6),(2,9),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,4,7,8],[3,5,6,9,10]] => [[1,2,5,6,8],[3,4,7,9,10]] => [3,4,7,9,10,1,2,5,6,8] => ([(0,6),(0,7),(1,8),(1,9),(2,8),(2,9),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,4,6,9],[3,5,7,8,10]] => [[1,3,4,6,8],[2,5,7,9,10]] => [2,5,7,9,10,1,3,4,6,8] => ([(0,9),(1,7),(1,8),(2,5),(2,6),(2,9),(3,4),(3,7),(3,8),(4,5),(4,6),(4,9),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,4,6,8],[3,5,7,9,10]] => [[1,2,4,6,8],[3,5,7,9,10]] => [3,5,7,9,10,1,2,4,6,8] => ([(0,8),(0,9),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,4,6,7],[3,5,8,9,10]] => [[1,2,3,6,8],[4,5,7,9,10]] => [4,5,7,9,10,1,2,3,6,8] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,4,5,9],[3,6,7,8,10]] => [[1,3,4,5,8],[2,6,7,9,10]] => [2,6,7,9,10,1,3,4,5,8] => ([(0,9),(1,7),(1,8),(2,4),(2,5),(2,6),(2,9),(3,4),(3,5),(3,6),(3,9),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,4,5,8],[3,6,7,9,10]] => [[1,2,4,5,8],[3,6,7,9,10]] => [3,6,7,9,10,1,2,4,5,8] => ([(0,8),(0,9),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,4,5,7],[3,6,8,9,10]] => [[1,2,3,5,8],[4,6,7,9,10]] => [4,6,7,9,10,1,2,3,5,8] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,4,5,6],[3,7,8,9,10]] => [[1,2,3,4,8],[5,6,7,9,10]] => [5,6,7,9,10,1,2,3,4,8] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,7,9],[4,5,6,8,10]] => [[1,3,5,6,7],[2,4,8,9,10]] => [2,4,8,9,10,1,3,5,6,7] => ([(0,9),(1,5),(1,9),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[[1,2,3,7,8],[4,5,6,9,10]] => [[1,2,5,6,7],[3,4,8,9,10]] => [3,4,8,9,10,1,2,5,6,7] => ([(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,6,9],[4,5,7,8,10]] => [[1,3,4,6,7],[2,5,8,9,10]] => [2,5,8,9,10,1,3,4,6,7] => ([(0,9),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,4),(3,5),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[[1,2,3,6,8],[4,5,7,9,10]] => [[1,2,4,6,7],[3,5,8,9,10]] => [3,5,8,9,10,1,2,4,6,7] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,6,7],[4,5,8,9,10]] => [[1,2,3,6,7],[4,5,8,9,10]] => [4,5,8,9,10,1,2,3,6,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[[1,2,3,5,9],[4,6,7,8,10]] => [[1,3,4,5,7],[2,6,8,9,10]] => [2,6,8,9,10,1,3,4,5,7] => ([(0,9),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,9),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[[1,2,3,5,8],[4,6,7,9,10]] => [[1,2,4,5,7],[3,6,8,9,10]] => [3,6,8,9,10,1,2,4,5,7] => ([(0,8),(0,9),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,5,7],[4,6,8,9,10]] => [[1,2,3,5,7],[4,6,8,9,10]] => [4,6,8,9,10,1,2,3,5,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[[1,2,3,5,6],[4,7,8,9,10]] => [[1,2,3,4,7],[5,6,8,9,10]] => [5,6,8,9,10,1,2,3,4,7] => ([(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[[1,2,3,4,9],[5,6,7,8,10]] => [[1,3,4,5,6],[2,7,8,9,10]] => [2,7,8,9,10,1,3,4,5,6] => ([(0,9),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,8],[5,6,7,9,10]] => [[1,2,4,5,6],[3,7,8,9,10]] => [3,7,8,9,10,1,2,4,5,6] => ([(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,4,7],[5,6,8,9,10]] => [[1,2,3,5,6],[4,7,8,9,10]] => [4,7,8,9,10,1,2,3,5,6] => ([(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[[1,2,3,4,6],[5,7,8,9,10]] => [[1,2,3,4,6],[5,7,8,9,10]] => [5,7,8,9,10,1,2,3,4,6] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[[1,2,3,4,5],[6,7,8,9,10]] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[[1,3,5,7,9,11],[2,4,6,8,10,12]] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => [2,4,6,8,10,12,1,3,5,7,9,11] => ([(0,11),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,5,7,9,10],[2,4,6,8,11,12]] => [[1,2,5,7,9,11],[3,4,6,8,10,12]] => [3,4,6,8,10,12,1,2,5,7,9,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,5,7,8,11],[2,4,6,9,10,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]] => [2,5,6,8,10,12,1,3,4,7,9,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,7),(4,8),(4,10),(5,6),(5,9),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[[1,3,5,7,8,10],[2,4,6,9,11,12]] => [[1,2,4,7,9,11],[3,5,6,8,10,12]] => [3,5,6,8,10,12,1,2,4,7,9,11] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,5,7,8,9],[2,4,6,10,11,12]] => [[1,2,3,7,9,11],[4,5,6,8,10,12]] => [4,5,6,8,10,12,1,2,3,7,9,11] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,5,6,9,11],[2,4,7,8,10,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]] => [2,4,7,8,10,12,1,3,5,6,9,11] => ([(0,11),(1,10),(2,9),(2,10),(3,8),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]] => [3,4,7,8,10,12,1,2,5,6,9,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,5,6,8,11],[2,4,7,9,10,12]] => [[1,3,4,6,9,11],[2,5,7,8,10,12]] => [2,5,7,8,10,12,1,3,4,6,9,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,5),(4,6),(4,9),(4,11),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[[1,3,5,6,8,10],[2,4,7,9,11,12]] => [[1,2,4,6,9,11],[3,5,7,8,10,12]] => [3,5,7,8,10,12,1,2,4,6,9,11] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,5,6,8,9],[2,4,7,10,11,12]] => [[1,2,3,6,9,11],[4,5,7,8,10,12]] => [4,5,7,8,10,12,1,2,3,6,9,11] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,5,6,7,11],[2,4,8,9,10,12]] => [[1,3,4,5,9,11],[2,6,7,8,10,12]] => [2,6,7,8,10,12,1,3,4,5,9,11] => ([(0,11),(1,10),(2,9),(2,11),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[[1,3,5,6,7,10],[2,4,8,9,11,12]] => [[1,2,4,5,9,11],[3,6,7,8,10,12]] => [3,6,7,8,10,12,1,2,4,5,9,11] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,6),(3,7),(3,9),(3,10),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,5,6,7,9],[2,4,8,10,11,12]] => [[1,2,3,5,9,11],[4,6,7,8,10,12]] => [4,6,7,8,10,12,1,2,3,5,9,11] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,6),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,5,6,7,8],[2,4,9,10,11,12]] => [[1,2,3,4,9,11],[5,6,7,8,10,12]] => [5,6,7,8,10,12,1,2,3,4,9,11] => ([(0,11),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[[1,3,4,7,9,11],[2,5,6,8,10,12]] => [[1,3,5,7,8,11],[2,4,6,9,10,12]] => [2,4,6,9,10,12,1,3,5,7,8,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,7),(4,8),(4,10),(5,6),(5,9),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[[1,3,4,7,9,10],[2,5,6,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]] => [3,4,6,9,10,12,1,2,5,7,8,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [2,5,6,9,10,12,1,3,4,7,8,11] => ([(0,11),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,7,8,10],[2,5,6,9,11,12]] => [[1,2,4,7,8,11],[3,5,6,9,10,12]] => [3,5,6,9,10,12,1,2,4,7,8,11] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,3,7,8,11],[4,5,6,9,10,12]] => [4,5,6,9,10,12,1,2,3,7,8,11] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,6,9,11],[2,5,7,8,10,12]] => [[1,3,5,6,8,11],[2,4,7,9,10,12]] => [2,4,7,9,10,12,1,3,5,6,8,11] => ([(0,11),(1,10),(2,9),(2,11),(3,7),(3,8),(3,10),(4,5),(4,6),(4,9),(4,11),(5,7),(5,8),(5,10),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[[1,3,4,6,9,10],[2,5,7,8,11,12]] => [[1,2,5,6,8,11],[3,4,7,9,10,12]] => [3,4,7,9,10,12,1,2,5,6,8,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,4,6,8,11],[2,5,7,9,10,12]] => [[1,3,4,6,8,11],[2,5,7,9,10,12]] => [2,5,7,9,10,12,1,3,4,6,8,11] => ([(0,11),(1,10),(2,8),(2,9),(2,10),(3,6),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,6,8,10],[2,5,7,9,11,12]] => [[1,2,4,6,8,11],[3,5,7,9,10,12]] => [3,5,7,9,10,12,1,2,4,6,8,11] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,6),(3,9),(3,10),(4,5),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,4,6,8,9],[2,5,7,10,11,12]] => [[1,2,3,6,8,11],[4,5,7,9,10,12]] => [4,5,7,9,10,12,1,2,3,6,8,11] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,6),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,6,7,11],[2,5,8,9,10,12]] => [[1,3,4,5,8,11],[2,6,7,9,10,12]] => [2,6,7,9,10,12,1,3,4,5,8,11] => ([(0,11),(1,10),(2,8),(2,9),(2,11),(3,5),(3,6),(3,7),(3,10),(4,5),(4,6),(4,7),(4,10),(5,8),(5,9),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10),(10,11)],12)
[[1,3,4,6,7,10],[2,5,8,9,11,12]] => [[1,2,4,5,8,11],[3,6,7,9,10,12]] => [3,6,7,9,10,12,1,2,4,5,8,11] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,5),(3,6),(3,9),(3,10),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,4,6,7,9],[2,5,8,10,11,12]] => [[1,2,3,5,8,11],[4,6,7,9,10,12]] => [4,6,7,9,10,12,1,2,3,5,8,11] => ([(0,11),(1,8),(1,9),(1,10),(2,6),(2,7),(2,11),(3,5),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,6,7,8],[2,5,9,10,11,12]] => [[1,2,3,4,8,11],[5,6,7,9,10,12]] => [5,6,7,9,10,12,1,2,3,4,8,11] => ([(0,11),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[[1,3,4,5,9,11],[2,6,7,8,10,12]] => [[1,3,5,6,7,11],[2,4,8,9,10,12]] => [2,4,8,9,10,12,1,3,5,6,7,11] => ([(0,11),(1,10),(2,9),(2,11),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,10),(5,6),(5,7),(5,8),(5,10),(6,9),(6,11),(7,9),(7,11),(8,9),(8,11),(9,10),(10,11)],12)
[[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [3,4,8,9,10,12,1,2,5,6,7,11] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,4,5,8,11],[2,6,7,9,10,12]] => [[1,3,4,6,7,11],[2,5,8,9,10,12]] => [2,5,8,9,10,12,1,3,4,6,7,11] => ([(0,11),(1,10),(2,8),(2,9),(2,11),(3,5),(3,6),(3,7),(3,10),(4,5),(4,6),(4,7),(4,10),(5,8),(5,9),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,11),(8,10),(9,10),(10,11)],12)
[[1,3,4,5,8,10],[2,6,7,9,11,12]] => [[1,2,4,6,7,11],[3,5,8,9,10,12]] => [3,5,8,9,10,12,1,2,4,6,7,11] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,5,8,9],[2,6,7,10,11,12]] => [[1,2,3,6,7,11],[4,5,8,9,10,12]] => [4,5,8,9,10,12,1,2,3,6,7,11] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,5,7,11],[2,6,8,9,10,12]] => [[1,3,4,5,7,11],[2,6,8,9,10,12]] => [2,6,8,9,10,12,1,3,4,5,7,11] => ([(0,11),(1,10),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[[1,3,4,5,7,10],[2,6,8,9,11,12]] => [[1,2,4,5,7,11],[3,6,8,9,10,12]] => [3,6,8,9,10,12,1,2,4,5,7,11] => ([(0,11),(1,9),(1,10),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,4,5,7,9],[2,6,8,10,11,12]] => [[1,2,3,5,7,11],[4,6,8,9,10,12]] => [4,6,8,9,10,12,1,2,3,5,7,11] => ([(0,11),(1,8),(1,9),(1,10),(2,5),(2,6),(2,7),(2,11),(3,4),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,5,7,8],[2,6,9,10,11,12]] => [[1,2,3,4,7,11],[5,6,8,9,10,12]] => [5,6,8,9,10,12,1,2,3,4,7,11] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[[1,3,4,5,6,11],[2,7,8,9,10,12]] => [[1,3,4,5,6,11],[2,7,8,9,10,12]] => [2,7,8,9,10,12,1,3,4,5,6,11] => ([(0,11),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,3,4,5,6,10],[2,7,8,9,11,12]] => [[1,2,4,5,6,11],[3,7,8,9,10,12]] => [3,7,8,9,10,12,1,2,4,5,6,11] => ([(0,11),(1,9),(1,10),(2,5),(2,6),(2,7),(2,8),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3,4,5,6,9],[2,7,8,10,11,12]] => [[1,2,3,5,6,11],[4,7,8,9,10,12]] => [4,7,8,9,10,12,1,2,3,5,6,11] => ([(0,11),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,3,4,5,6,8],[2,7,9,10,11,12]] => [[1,2,3,4,6,11],[5,7,8,9,10,12]] => [5,7,8,9,10,12,1,2,3,4,6,11] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[[1,3,4,5,6,7],[2,8,9,10,11,12]] => [[1,2,3,4,5,11],[6,7,8,9,10,12]] => [6,7,8,9,10,12,1,2,3,4,5,11] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,5,7,9,11],[3,4,6,8,10,12]] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => [2,4,6,8,11,12,1,3,5,7,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,5,7,9,10],[3,4,6,8,11,12]] => [[1,2,5,7,9,10],[3,4,6,8,11,12]] => [3,4,6,8,11,12,1,2,5,7,9,10] => ([(0,8),(0,9),(1,8),(1,9),(2,10),(2,11),(3,10),(3,11),(4,7),(4,10),(4,11),(5,6),(5,8),(5,9),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,5,7,8,11],[3,4,6,9,10,12]] => [[1,3,4,7,9,10],[2,5,6,8,11,12]] => [2,5,6,8,11,12,1,3,4,7,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,5,7,8,10],[3,4,6,9,11,12]] => [[1,2,4,7,9,10],[3,5,6,8,11,12]] => [3,5,6,8,11,12,1,2,4,7,9,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,5,7,8,9],[3,4,6,10,11,12]] => [[1,2,3,7,9,10],[4,5,6,8,11,12]] => [4,5,6,8,11,12,1,2,3,7,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,5,6,9,11],[3,4,7,8,10,12]] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [2,4,7,8,11,12,1,3,5,6,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,8),(3,11),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [3,4,7,8,11,12,1,2,5,6,9,10] => ([(0,10),(0,11),(1,8),(1,9),(2,8),(2,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,5,6,8,11],[3,4,7,9,10,12]] => [[1,3,4,6,9,10],[2,5,7,8,11,12]] => [2,5,7,8,11,12,1,3,4,6,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,7),(3,8),(3,11),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,5,6,8,10],[3,4,7,9,11,12]] => [[1,2,4,6,9,10],[3,5,7,8,11,12]] => [3,5,7,8,11,12,1,2,4,6,9,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,5,6,8,9],[3,4,7,10,11,12]] => [[1,2,3,6,9,10],[4,5,7,8,11,12]] => [4,5,7,8,11,12,1,2,3,6,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [2,6,7,8,11,12,1,3,4,5,9,10] => ([(0,11),(1,9),(1,10),(2,9),(2,10),(3,6),(3,7),(3,8),(3,11),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,5,6,7,10],[3,4,8,9,11,12]] => [[1,2,4,5,9,10],[3,6,7,8,11,12]] => [3,6,7,8,11,12,1,2,4,5,9,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,5,6,7,9],[3,4,8,10,11,12]] => [[1,2,3,5,9,10],[4,6,7,8,11,12]] => [4,6,7,8,11,12,1,2,3,5,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,5,6,7,8],[3,4,9,10,11,12]] => [[1,2,3,4,9,10],[5,6,7,8,11,12]] => [5,6,7,8,11,12,1,2,3,4,9,10] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,7,9,11],[3,5,6,8,10,12]] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => [2,4,6,9,11,12,1,3,5,7,8,10] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,7),(4,9),(4,10),(5,6),(5,8),(5,11),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,4,7,9,10],[3,5,6,8,11,12]] => [[1,2,5,7,8,10],[3,4,6,9,11,12]] => [3,4,6,9,11,12,1,2,5,7,8,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,7,8,11],[3,5,6,9,10,12]] => [[1,3,4,7,8,10],[2,5,6,9,11,12]] => [2,5,6,9,11,12,1,3,4,7,8,10] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,4,7,8,10],[3,5,6,9,11,12]] => [[1,2,4,7,8,10],[3,5,6,9,11,12]] => [3,5,6,9,11,12,1,2,4,7,8,10] => ([(0,10),(0,11),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,7,8,9],[3,5,6,10,11,12]] => [[1,2,3,7,8,10],[4,5,6,9,11,12]] => [4,5,6,9,11,12,1,2,3,7,8,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,6,9,11],[3,5,7,8,10,12]] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => [2,4,7,9,11,12,1,3,5,6,8,10] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,7),(3,9),(3,10),(4,5),(4,6),(4,8),(4,11),(5,7),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,4,6,9,10],[3,5,7,8,11,12]] => [[1,2,5,6,8,10],[3,4,7,9,11,12]] => [3,4,7,9,11,12,1,2,5,6,8,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,6,8,11],[3,5,7,9,10,12]] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => [2,5,7,9,11,12,1,3,4,6,8,10] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,6),(3,9),(3,10),(4,5),(4,7),(4,8),(4,11),(5,6),(5,9),(5,10),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,4,6,8,10],[3,5,7,9,11,12]] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => [3,5,7,9,11,12,1,2,4,6,8,10] => ([(0,10),(0,11),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,6,8,9],[3,5,7,10,11,12]] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => [4,5,7,9,11,12,1,2,3,6,8,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,6,7,11],[3,5,8,9,10,12]] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => [2,6,7,9,11,12,1,3,4,5,8,10] => ([(0,11),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,4,6,7,10],[3,5,8,9,11,12]] => [[1,2,4,5,8,10],[3,6,7,9,11,12]] => [3,6,7,9,11,12,1,2,4,5,8,10] => ([(0,8),(0,9),(1,10),(1,11),(2,7),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,6,7,9],[3,5,8,10,11,12]] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => [4,6,7,9,11,12,1,2,3,5,8,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,6),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,6,7,8],[3,5,9,10,11,12]] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => [5,6,7,9,11,12,1,2,3,4,8,10] => ([(0,10),(0,11),(1,5),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,9,11],[3,6,7,8,10,12]] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => [2,4,8,9,11,12,1,3,5,6,7,10] => ([(0,11),(1,8),(1,11),(2,9),(2,10),(3,6),(3,7),(3,9),(3,10),(4,6),(4,7),(4,9),(4,10),(5,6),(5,7),(5,9),(5,10),(6,8),(6,11),(7,8),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,4,5,9,10],[3,6,7,8,11,12]] => [[1,2,5,6,7,10],[3,4,8,9,11,12]] => [3,4,8,9,11,12,1,2,5,6,7,10] => ([(0,8),(0,9),(1,10),(1,11),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,8,11],[3,6,7,9,10,12]] => [[1,3,4,6,7,10],[2,5,8,9,11,12]] => [2,5,8,9,11,12,1,3,4,6,7,10] => ([(0,11),(1,9),(1,10),(2,7),(2,8),(2,11),(3,5),(3,6),(3,9),(3,10),(4,5),(4,6),(4,9),(4,10),(5,7),(5,8),(5,11),(6,7),(6,8),(6,11),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,4,5,8,10],[3,6,7,9,11,12]] => [[1,2,4,6,7,10],[3,5,8,9,11,12]] => [3,5,8,9,11,12,1,2,4,6,7,10] => ([(0,8),(0,9),(1,10),(1,11),(2,7),(2,10),(2,11),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,10),(5,11),(6,7),(6,10),(6,11),(7,8),(7,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,8,9],[3,6,7,10,11,12]] => [[1,2,3,6,7,10],[4,5,8,9,11,12]] => [4,5,8,9,11,12,1,2,3,6,7,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,7,11],[3,6,8,9,10,12]] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => [2,6,8,9,11,12,1,3,4,5,7,10] => ([(0,11),(1,9),(1,10),(2,6),(2,7),(2,8),(2,11),(3,4),(3,5),(3,9),(3,10),(4,6),(4,7),(4,8),(4,11),(5,6),(5,7),(5,8),(5,11),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,4,5,7,10],[3,6,8,9,11,12]] => [[1,2,4,5,7,10],[3,6,8,9,11,12]] => [3,6,8,9,11,12,1,2,4,5,7,10] => ([(0,10),(0,11),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,7,9],[3,6,8,10,11,12]] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => [4,6,8,9,11,12,1,2,3,5,7,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,7,8],[3,6,9,10,11,12]] => [[1,2,3,4,7,10],[5,6,8,9,11,12]] => [5,6,8,9,11,12,1,2,3,4,7,10] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,6,11],[3,7,8,9,10,12]] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => [2,7,8,9,11,12,1,3,4,5,6,10] => ([(0,11),(1,9),(1,10),(2,5),(2,6),(2,7),(2,8),(2,11),(3,5),(3,6),(3,7),(3,8),(3,11),(4,5),(4,6),(4,7),(4,8),(4,11),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,11),(10,11)],12)
[[1,2,4,5,6,10],[3,7,8,9,11,12]] => [[1,2,4,5,6,10],[3,7,8,9,11,12]] => [3,7,8,9,11,12,1,2,4,5,6,10] => ([(0,10),(0,11),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,6,9],[3,7,8,10,11,12]] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => [4,7,8,9,11,12,1,2,3,5,6,10] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,6,8],[3,7,9,10,11,12]] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => [5,7,8,9,11,12,1,2,3,4,6,10] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,4,5,6,7],[3,8,9,10,11,12]] => [[1,2,3,4,5,10],[6,7,8,9,11,12]] => [6,7,8,9,11,12,1,2,3,4,5,10] => ([(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,7,9,11],[4,5,6,8,10,12]] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => [2,4,6,10,11,12,1,3,5,7,8,9] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,3,7,9,10],[4,5,6,8,11,12]] => [[1,2,5,7,8,9],[3,4,6,10,11,12]] => [3,4,6,10,11,12,1,2,5,7,8,9] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [2,5,6,10,11,12,1,3,4,7,8,9] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,7),(4,11),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,3,7,8,10],[4,5,6,9,11,12]] => [[1,2,4,7,8,9],[3,5,6,10,11,12]] => [3,5,6,10,11,12,1,2,4,7,8,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,10),(4,11),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,7,8,9],[4,5,6,10,11,12]] => [[1,2,3,7,8,9],[4,5,6,10,11,12]] => [4,5,6,10,11,12,1,2,3,7,8,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,6,9,11],[4,5,7,8,10,12]] => [[1,3,5,6,8,9],[2,4,7,10,11,12]] => [2,4,7,10,11,12,1,3,5,6,8,9] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,3,6,9,10],[4,5,7,8,11,12]] => [[1,2,5,6,8,9],[3,4,7,10,11,12]] => [3,4,7,10,11,12,1,2,5,6,8,9] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,6,8,11],[4,5,7,9,10,12]] => [[1,3,4,6,8,9],[2,5,7,10,11,12]] => [2,5,7,10,11,12,1,3,4,6,8,9] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,6),(3,7),(3,11),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,3,6,8,10],[4,5,7,9,11,12]] => [[1,2,4,6,8,9],[3,5,7,10,11,12]] => [3,5,7,10,11,12,1,2,4,6,8,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,6,8,9],[4,5,7,10,11,12]] => [[1,2,3,6,8,9],[4,5,7,10,11,12]] => [4,5,7,10,11,12,1,2,3,6,8,9] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,5),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,6,7,11],[4,5,8,9,10,12]] => [[1,3,4,5,8,9],[2,6,7,10,11,12]] => [2,6,7,10,11,12,1,3,4,5,8,9] => ([(0,11),(1,8),(1,9),(1,10),(2,8),(2,9),(2,10),(3,5),(3,6),(3,7),(3,11),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,3,6,7,10],[4,5,8,9,11,12]] => [[1,2,4,5,8,9],[3,6,7,10,11,12]] => [3,6,7,10,11,12,1,2,4,5,8,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,5),(3,6),(3,10),(3,11),(4,5),(4,6),(4,10),(4,11),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,6,7,9],[4,5,8,10,11,12]] => [[1,2,3,5,8,9],[4,6,7,10,11,12]] => [4,6,7,10,11,12,1,2,3,5,8,9] => ([(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,6,7,8],[4,5,9,10,11,12]] => [[1,2,3,4,8,9],[5,6,7,10,11,12]] => [5,6,7,10,11,12,1,2,3,4,8,9] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,5,9,11],[4,6,7,8,10,12]] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => [2,4,8,10,11,12,1,3,5,6,7,9] => ([(0,11),(1,7),(1,11),(2,8),(2,9),(2,10),(3,6),(3,8),(3,9),(3,10),(4,6),(4,8),(4,9),(4,10),(5,6),(5,8),(5,9),(5,10),(6,7),(6,11),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,3,5,9,10],[4,6,7,8,11,12]] => [[1,2,5,6,7,9],[3,4,8,10,11,12]] => [3,4,8,10,11,12,1,2,5,6,7,9] => ([(0,10),(0,11),(1,10),(1,11),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,5,8,11],[4,6,7,9,10,12]] => [[1,3,4,6,7,9],[2,5,8,10,11,12]] => [2,5,8,10,11,12,1,3,4,6,7,9] => ([(0,11),(1,8),(1,9),(1,10),(2,6),(2,7),(2,11),(3,5),(3,8),(3,9),(3,10),(4,5),(4,8),(4,9),(4,10),(5,6),(5,7),(5,11),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,3,5,8,10],[4,6,7,9,11,12]] => [[1,2,4,6,7,9],[3,5,8,10,11,12]] => [3,5,8,10,11,12,1,2,4,6,7,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,6),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(4,5),(4,7),(4,8),(4,9),(5,6),(5,10),(5,11),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,5,8,9],[4,6,7,10,11,12]] => [[1,2,3,6,7,9],[4,5,8,10,11,12]] => [4,5,8,10,11,12,1,2,3,6,7,9] => ([(0,6),(0,7),(0,8),(1,9),(1,10),(1,11),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,5,7,11],[4,6,8,9,10,12]] => [[1,3,4,5,7,9],[2,6,8,10,11,12]] => [2,6,8,10,11,12,1,3,4,5,7,9] => ([(0,11),(1,8),(1,9),(1,10),(2,5),(2,6),(2,7),(2,11),(3,4),(3,8),(3,9),(3,10),(4,5),(4,6),(4,7),(4,11),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,3,5,7,10],[4,6,8,9,11,12]] => [[1,2,4,5,7,9],[3,6,8,10,11,12]] => [3,6,8,10,11,12,1,2,4,5,7,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,5,7,9],[4,6,8,10,11,12]] => [[1,2,3,5,7,9],[4,6,8,10,11,12]] => [4,6,8,10,11,12,1,2,3,5,7,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,5,7,8],[4,6,9,10,11,12]] => [[1,2,3,4,7,9],[5,6,8,10,11,12]] => [5,6,8,10,11,12,1,2,3,4,7,9] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,5,6,11],[4,7,8,9,10,12]] => [[1,3,4,5,6,9],[2,7,8,10,11,12]] => [2,7,8,10,11,12,1,3,4,5,6,9] => ([(0,11),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,11),(3,4),(3,5),(3,6),(3,7),(3,11),(4,8),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,11),(9,11),(10,11)],12)
[[1,2,3,5,6,10],[4,7,8,9,11,12]] => [[1,2,4,5,6,9],[3,7,8,10,11,12]] => [3,7,8,10,11,12,1,2,4,5,6,9] => ([(0,10),(0,11),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,10),(2,11),(3,4),(3,5),(3,6),(3,10),(3,11),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,5,6,9],[4,7,8,10,11,12]] => [[1,2,3,5,6,9],[4,7,8,10,11,12]] => [4,7,8,10,11,12,1,2,3,5,6,9] => ([(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,5,6,8],[4,7,9,10,11,12]] => [[1,2,3,4,6,9],[5,7,8,10,11,12]] => [5,7,8,10,11,12,1,2,3,4,6,9] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,5,6,7],[4,8,9,10,11,12]] => [[1,2,3,4,5,9],[6,7,8,10,11,12]] => [6,7,8,10,11,12,1,2,3,4,5,9] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,4,9,11],[5,6,7,8,10,12]] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => [2,4,9,10,11,12,1,3,5,6,7,8] => ([(0,11),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,2,5,6,7,8],[3,4,9,10,11,12]] => [3,4,9,10,11,12,1,2,5,6,7,8] => ([(0,10),(0,11),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,4,8,11],[5,6,7,9,10,12]] => [[1,3,4,6,7,8],[2,5,9,10,11,12]] => [2,5,9,10,11,12,1,3,4,6,7,8] => ([(0,11),(1,5),(1,6),(1,11),(2,7),(2,8),(2,9),(2,10),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,8,10],[5,6,7,9,11,12]] => [[1,2,4,6,7,8],[3,5,9,10,11,12]] => [3,5,9,10,11,12,1,2,4,6,7,8] => ([(0,10),(0,11),(1,5),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,4,8,9],[5,6,7,10,11,12]] => [[1,2,3,6,7,8],[4,5,9,10,11,12]] => [4,5,9,10,11,12,1,2,3,6,7,8] => ([(0,9),(0,10),(0,11),(1,9),(1,10),(1,11),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,4,7,11],[5,6,8,9,10,12]] => [[1,3,4,5,7,8],[2,6,9,10,11,12]] => [2,6,9,10,11,12,1,3,4,5,7,8] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(2,7),(2,8),(2,9),(2,10),(3,4),(3,5),(3,6),(3,11),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,7,10],[5,6,8,9,11,12]] => [[1,2,4,5,7,8],[3,6,9,10,11,12]] => [3,6,9,10,11,12,1,2,4,5,7,8] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,4,7,9],[5,6,8,10,11,12]] => [[1,2,3,5,7,8],[4,6,9,10,11,12]] => [4,6,9,10,11,12,1,2,3,5,7,8] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,4),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,4,7,8],[5,6,9,10,11,12]] => [[1,2,3,4,7,8],[5,6,9,10,11,12]] => [5,6,9,10,11,12,1,2,3,4,7,8] => ([(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[[1,2,3,4,6,11],[5,7,8,9,10,12]] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => [2,7,9,10,11,12,1,3,4,5,6,8] => ([(0,11),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,5),(2,6),(2,11),(3,7),(3,8),(3,9),(3,10),(4,7),(4,8),(4,9),(4,10),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,6,10],[5,7,8,9,11,12]] => [[1,2,4,5,6,8],[3,7,9,10,11,12]] => [3,7,9,10,11,12,1,2,4,5,6,8] => ([(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,4,6,9],[5,7,8,10,11,12]] => [[1,2,3,5,6,8],[4,7,9,10,11,12]] => [4,7,9,10,11,12,1,2,3,5,6,8] => ([(0,9),(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,4,6,8],[5,7,9,10,11,12]] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => [5,7,9,10,11,12,1,2,3,4,6,8] => ([(0,8),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[[1,2,3,4,6,7],[5,8,9,10,11,12]] => [[1,2,3,4,5,8],[6,7,9,10,11,12]] => [6,7,9,10,11,12,1,2,3,4,5,8] => ([(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[[1,2,3,4,5,11],[6,7,8,9,10,12]] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => [2,8,9,10,11,12,1,3,4,5,6,7] => ([(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(2,6),(2,7),(2,8),(2,9),(2,10),(3,6),(3,7),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(5,6),(5,7),(5,8),(5,9),(5,10),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,5,10],[6,7,8,9,11,12]] => [[1,2,4,5,6,7],[3,8,9,10,11,12]] => [3,8,9,10,11,12,1,2,4,5,6,7] => ([(0,10),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2,3,4,5,9],[6,7,8,10,11,12]] => [[1,2,3,5,6,7],[4,8,9,10,11,12]] => [4,8,9,10,11,12,1,2,3,5,6,7] => ([(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11)],12)
[[1,2,3,4,5,8],[6,7,9,10,11,12]] => [[1,2,3,4,6,7],[5,8,9,10,11,12]] => [5,8,9,10,11,12,1,2,3,4,6,7] => ([(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11)],12)
[[1,2,3,4,5,7],[6,8,9,10,11,12]] => [[1,2,3,4,5,7],[6,8,9,10,11,12]] => [6,8,9,10,11,12,1,2,3,4,5,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,7),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11)],12)
[[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [7,8,9,10,11,12,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11)],12)
[[1,2,3,4,5,6,7,8,9]] => [[1,2,3,4,5,6,7,8,9]] => [1,2,3,4,5,6,7,8,9] => ([],9)
[[1,2,3,4,5,6,7,8],[9]] => [[1,3,4,5,6,7,8,9],[2]] => [2,1,3,4,5,6,7,8,9] => ([(7,8)],9)
[[1,2,3,4,5,6,7],[8,9]] => [[1,2,5,6,7,8,9],[3,4]] => [3,4,1,2,5,6,7,8,9] => ([(5,7),(5,8),(6,7),(6,8)],9)
[[1,2,3,4,5,6,7],[8],[9]] => [[1,4,5,6,7,8,9],[2],[3]] => [3,2,1,4,5,6,7,8,9] => ([(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5,6],[7,8,9]] => [[1,2,3,7,8,9],[4,5,6]] => [4,5,6,1,2,3,7,8,9] => ([(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[[1,2,3,4,5,6],[7,8],[9]] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => ([(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[[1,2,3,4,5,6],[7],[8],[9]] => [[1,5,6,7,8,9],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9] => ([(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5],[6,7,8,9]] => [[1,2,3,4,9],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9] => ([(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[[1,2,3,4,5],[6,7,8],[9]] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => ([(2,7),(2,8),(3,5),(3,6),(3,8),(4,5),(4,6),(4,8),(5,7),(6,7),(7,8)],9)
[[1,2,3,4,5],[6,7],[8,9]] => [[1,2,7,8,9],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9] => ([(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,2,3,4,5],[6,7],[8],[9]] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => ([(3,4),(3,8),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5],[6],[7],[8],[9]] => [[1,6,7,8,9],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9] => ([(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4],[5,6,7,8],[9]] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,8),(2,4),(2,5),(2,6),(2,8),(3,4),(3,5),(3,6),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[[1,2,3,4],[5,6,7],[8,9]] => [[1,2,5,9],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9] => ([(1,2),(1,7),(1,8),(2,5),(2,6),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,2,3,4],[5,6,7],[8],[9]] => [[1,4,5,9],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9] => ([(1,3),(1,4),(1,8),(2,3),(2,4),(2,8),(3,7),(4,7),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4],[5,6],[7,8],[9]] => [[1,3,8,9],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9] => ([(2,3),(2,5),(2,6),(2,8),(3,4),(3,6),(3,7),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => ([(2,3),(2,8),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9] => ([(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4,5,6],[7,8,9]] => [[1,2,3],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[[1,2,3],[4,5,6],[7,8],[9]] => [[1,3,6],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6] => ([(0,1),(0,6),(0,8),(1,5),(1,7),(2,3),(2,5),(2,7),(2,8),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[[1,2,3],[4,5,6],[7],[8],[9]] => [[1,5,6],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6] => ([(0,2),(0,3),(0,8),(1,2),(1,3),(1,8),(2,7),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4,5],[6,7],[8,9]] => [[1,2,9],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,2,3],[4,5],[6,7],[8],[9]] => [[1,4,9],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9] => ([(1,2),(1,3),(1,7),(1,8),(2,3),(2,6),(2,8),(3,5),(3,7),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4,5],[6],[7],[8],[9]] => [[1,6,9],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9] => ([(1,2),(1,8),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2],[3,4],[5,6],[7,8],[9]] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2],[3,4],[5,6],[7],[8],[9]] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => ([(0,1),(0,2),(0,7),(0,8),(1,2),(1,6),(1,8),(2,5),(2,7),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2],[3,4],[5],[6],[7],[8],[9]] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => ([(0,1),(0,8),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5,6,7,8,9,10]] => [[1,2,3,4,5,6,7,8,9,10]] => [1,2,3,4,5,6,7,8,9,10] => ([],10)
[[1,2,3,4,5,6,7,8,9],[10]] => [[1,3,4,5,6,7,8,9,10],[2]] => [2,1,3,4,5,6,7,8,9,10] => ([(8,9)],10)
[[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,5,6,7,8,9,10],[3,4]] => [3,4,1,2,5,6,7,8,9,10] => ([(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,4,5,6,7,8],[9],[10]] => [[1,4,5,6,7,8,9,10],[2],[3]] => [3,2,1,4,5,6,7,8,9,10] => ([(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7],[8,9,10]] => [[1,2,3,7,8,9,10],[4,5,6]] => [4,5,6,1,2,3,7,8,9,10] => ([(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[[1,2,3,4,5,6,7],[8,9],[10]] => [[1,3,6,7,8,9,10],[2,5],[4]] => [4,2,5,1,3,6,7,8,9,10] => ([(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [4,3,2,1,5,6,7,8,9,10] => ([(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6],[7,8,9,10]] => [[1,2,3,4,9,10],[5,6,7,8]] => [5,6,7,8,1,2,3,4,9,10] => ([(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[[1,2,3,4,5,6],[7,8,9],[10]] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => ([(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,3,4,5,6],[7,8],[9,10]] => [[1,2,7,8,9,10],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9,10] => ([(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,4,7,8,9,10],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9,10] => ([(4,5),(4,9),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [5,4,3,2,1,6,7,8,9,10] => ([(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6,7,8,9],[10]] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => ([(1,8),(1,9),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[[1,2,3,4,5],[6,7,8],[9,10]] => [[1,2,5,9,10],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9,10] => ([(2,3),(2,8),(2,9),(3,6),(3,7),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,4,5,9,10],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9,10] => ([(2,4),(2,5),(2,9),(3,4),(3,5),(3,9),(4,8),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,3,8,9,10],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9,10] => ([(3,4),(3,6),(3,7),(3,9),(4,5),(4,7),(4,8),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => ([(3,4),(3,9),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7,8,9,10] => ([(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6,7,8],[9,10]] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => ([(0,2),(0,3),(0,8),(0,9),(1,2),(1,3),(1,8),(1,9),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,4],[5,6,7,8],[9],[10]] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => ([(0,1),(0,8),(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(2,9),(3,5),(3,6),(3,7),(3,9),(4,5),(4,6),(4,7),(4,9),(5,8),(6,8),(7,8),(8,9)],10)
[[1,2,3,4],[5,6,7],[8,9,10]] => [[1,2,3,10],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3,10] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => ([(1,2),(1,7),(1,9),(2,6),(2,8),(3,4),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6,10] => ([(1,3),(1,4),(1,9),(2,3),(2,4),(2,9),(3,8),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,2,9,10],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9,10] => ([(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9,10] => ([(2,3),(2,4),(2,8),(2,9),(3,4),(3,7),(3,9),(4,6),(4,8),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => ([(2,3),(2,9),(3,8),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1,8,9,10] => ([(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5,6],[7,8,9],[10]] => [[1,3,4],[2,6,7],[5,9,10],[8]] => [8,5,9,10,2,6,7,1,3,4] => ([(0,1),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
[[1,2,3],[4,5,6],[7,8],[9,10]] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => ([(0,1),(0,8),(0,9),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,3],[4,5,6],[7,8],[9],[10]] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => ([(0,1),(0,7),(0,9),(1,6),(1,8),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => ([(0,2),(0,3),(0,9),(1,2),(1,3),(1,9),(2,8),(3,8),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5],[6,7],[8,9],[10]] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3,10] => ([(1,2),(1,4),(1,5),(1,6),(1,7),(1,9),(2,3),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5,10] => ([(1,2),(1,3),(1,8),(1,9),(2,3),(2,7),(2,9),(3,6),(3,8),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7,10] => ([(1,2),(1,9),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1,9,10] => ([(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,4],[5,6],[7,8],[9,10]] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => [9,7,5,10,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,9),(1,2),(1,3),(1,4),(1,6),(1,8),(2,3),(2,6),(2,8),(2,9),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [9,7,5,4,3,10,2,8,1,6] => ([(0,1),(0,2),(0,8),(0,9),(1,2),(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,10,1,8] => ([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1,10] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,8,9,10,11,12]] => [[1,2,3,4,5,6,7,8,9,10,11,12]] => [1,2,3,4,5,6,7,8,9,10,11,12] => ([],12)
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => [12,11,10,9,8,7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,6,7,8,9],[2]] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,5,6,7,8,9],[3,4]] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,4,5,6,7,8,9],[2],[3]] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => ([(0,7),(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,7,8,9],[4,5,6]] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[[1,3,6,7,8,9],[2,5],[4]] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[[1,5,6,7,8,9],[2],[3],[4]] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,9],[5,6,7,8]] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8)],9)
[[1,3,4,8,9],[2,6,7],[5]] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,7,8,9],[3,4],[5,6]] => [[1,2,3,4,5],[6,7],[8,9]] => [8,9,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,4,7,8,9],[2,6],[3],[5]] => [[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6,7,8,9],[2],[3],[4],[5]] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5],[2,7,8,9],[6]] => [[1,2,3,4],[5,6,7,8],[9]] => [9,5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,5,9],[3,4,8],[6,7]] => [[1,2,3,4],[5,6,7],[8,9]] => [8,9,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,4,5,9],[2,7,8],[3],[6]] => [[1,2,3,4],[5,6,7],[8],[9]] => [9,8,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,8,9],[2,5],[4,7],[6]] => [[1,2,3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[[1,5,8,9],[2,7],[3],[4],[6]] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,7,8,9],[2],[3],[4],[5],[6]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,6],[2,5,9],[4,8],[7]] => [[1,2,3],[4,5,6],[7,8],[9]] => [9,7,8,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[[1,5,6],[2,8,9],[3],[4],[7]] => [[1,2,3],[4,5,6],[7],[8],[9]] => [9,8,7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,9],[3,4],[5,6],[7,8]] => [[1,2,3],[4,5],[6,7],[8,9]] => [8,9,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,4,9],[2,6],[3,8],[5],[7]] => [[1,2,3],[4,5],[6,7],[8],[9]] => [9,8,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6,9],[2,8],[3],[4],[5],[7]] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,8,9],[2],[3],[4],[5],[6],[7]] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3],[2,5],[4,7],[6,9],[8]] => [[1,2],[3,4],[5,6],[7,8],[9]] => [9,7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[[1,5],[2,7],[3,9],[4],[6],[8]] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,7],[2,9],[3],[4],[5],[6],[8]] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,5,6,7,8,9,10],[3,4]] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,4,5,6,7,8,9,10],[2],[3]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => ([(0,8),(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,7,8,9,10],[4,5,6]] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[[1,3,6,7,8,9,10],[2,5],[4]] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,5,6,7,8,9,10],[2],[3],[4]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => ([(0,7),(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,9,10],[5,6,7,8]] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9)],10)
[[1,3,4,8,9,10],[2,6,7],[5]] => [[1,2,3,4,5,6],[7,8,9],[10]] => [10,7,8,9,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,7,8,9,10],[3,4],[5,6]] => [[1,2,3,4,5,6],[7,8],[9,10]] => [9,10,7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,4,7,8,9,10],[2,6],[3],[5]] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [10,9,7,8,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,7,8,9,10],[2],[3],[4],[5]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => ([(0,6),(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,10],[2,7,8,9],[6]] => [[1,2,3,4,5],[6,7,8,9],[10]] => [10,6,7,8,9,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,5,9,10],[3,4,8],[6,7]] => [[1,2,3,4,5],[6,7,8],[9,10]] => [9,10,6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,4,5,9,10],[2,7,8],[3],[6]] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [10,9,6,7,8,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,8,9,10],[2,5],[4,7],[6]] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,5,8,9,10],[2,7],[3],[4],[6]] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,6],[3,4,9,10],[7,8]] => [[1,2,3,4],[5,6,7,8],[9,10]] => [9,10,5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,4,5,6],[2,8,9,10],[3],[7]] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [10,9,5,6,7,8,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,10],[4,5,6],[7,8,9]] => [[1,2,3,4],[5,6,7],[8,9,10]] => [8,9,10,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[[1,3,6,10],[2,5,9],[4,8],[7]] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [10,8,9,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,5,6,10],[2,8,9],[3],[4],[7]] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [10,9,8,5,6,7,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,9,10],[3,4],[5,6],[7,8]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,4,9,10],[2,6],[3,8],[5],[7]] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,9,10],[2,8],[3],[4],[5],[7]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4],[2,6,7],[5,9,10],[8]] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [10,7,8,9,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,7],[3,4,10],[5,6],[8,9]] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [9,10,7,8,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,4,7],[2,6,10],[3,9],[5],[8]] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,7],[2,9,10],[3],[4],[5],[8]] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,10],[2,5],[4,7],[6,9],[8]] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,5,10],[2,7],[3,9],[4],[6],[8]] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,5,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4],[2,6],[3,8],[5,10],[7],[9]] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,8],[2,9],[3],[4],[5],[6],[7]] => [[1,3],[2,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,7],[2,8],[3,9],[4],[5],[6]] => [[1,4],[2,5],[3,6],[7],[8],[9]] => [9,8,7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,7,9],[2,8],[3],[4],[5],[6]] => [[1,2,4],[3,5],[6],[7],[8],[9]] => [9,8,7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6],[2,7],[3,8],[4,9],[5]] => [[1,5],[2,6],[3,7],[4,8],[9]] => [9,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6,9],[2,7],[3,8],[4],[5]] => [[1,2,5],[3,6],[4,7],[8],[9]] => [9,8,4,7,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6,8],[2,7,9],[3],[4],[5]] => [[1,3,5],[2,4,6],[7],[8],[9]] => [9,8,7,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6,8,9],[2,7],[3],[4],[5]] => [[1,2,3,5],[4,6],[7],[8],[9]] => [9,8,7,4,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,9],[2,6],[3,7],[4,8]] => [[1,2,6],[3,7],[4,8],[5,9]] => [5,9,4,8,3,7,1,2,6] => ([(0,3),(0,7),(0,8),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,8],[2,6,9],[3,7],[4]] => [[1,3,6],[2,4,7],[5,8],[9]] => [9,5,8,2,4,7,1,3,6] => ([(0,5),(0,7),(0,8),(1,4),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,7),(2,8),(3,4),(3,6),(3,7),(3,8),(4,6),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,8,9],[2,6],[3,7],[4]] => [[1,2,3,6],[4,7],[5,8],[9]] => [9,5,8,4,7,1,2,3,6] => ([(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,7,9],[2,6,8],[3],[4]] => [[1,2,4,6],[3,5,7],[8],[9]] => [9,8,3,5,7,1,2,4,6] => ([(0,6),(0,7),(0,8),(1,4),(1,5),(1,7),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,7,8,9],[2,6],[3],[4]] => [[1,2,3,4,6],[5,7],[8],[9]] => [9,8,5,7,1,2,3,4,6] => ([(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,7],[2,5,8],[3,6,9]] => [[1,4,7],[2,5,8],[3,6,9]] => [3,6,9,2,5,8,1,4,7] => ([(0,6),(0,8),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(3,4),(3,6),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,7,9],[2,5,8],[3,6]] => [[1,2,4,7],[3,5,8],[6,9]] => [6,9,3,5,8,1,2,4,7] => ([(0,7),(0,8),(1,4),(1,5),(1,6),(1,8),(2,3),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(7,8)],9)
[[1,4,7,8,9],[2,5],[3,6]] => [[1,2,3,4,7],[5,8],[6,9]] => [6,9,5,8,1,2,3,4,7] => ([(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(6,8),(7,8)],9)
[[1,4,6,8],[2,5,7,9],[3]] => [[1,3,5,7],[2,4,6,8],[9]] => [9,2,4,6,8,1,3,5,7] => ([(0,7),(0,8),(1,6),(1,8),(2,5),(2,6),(2,8),(3,4),(3,7),(3,8),(4,5),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,6,8,9],[2,5,7],[3]] => [[1,2,3,5,7],[4,6,8],[9]] => [9,4,6,8,1,2,3,5,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[[1,4,6,7,8,9],[2,5],[3]] => [[1,2,3,4,5,7],[6,8],[9]] => [9,6,8,1,2,3,4,5,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[[1,3,5,7,9],[2,4,6,8]] => [[1,2,4,6,8],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8] => ([(0,8),(1,6),(1,7),(2,5),(2,8),(3,4),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[[1,3,5,7,8,9],[2,4,6]] => [[1,2,3,4,6,8],[5,7,9]] => [5,7,9,1,2,3,4,6,8] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8)],9)
[[1,3,5,6,7,8,9],[2,4]] => [[1,2,3,4,5,6,8],[7,9]] => [7,9,1,2,3,4,5,6,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,8],[2,9],[3,10],[4],[5],[6],[7]] => [[1,4],[2,5],[3,6],[7],[8],[9],[10]] => [10,9,8,7,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,8,10],[2,9],[3],[4],[5],[6],[7]] => [[1,2,4],[3,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,3,5,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7],[2,8],[3,9],[4,10],[5],[6]] => [[1,5],[2,6],[3,7],[4,8],[9],[10]] => [10,9,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7,10],[2,8],[3,9],[4],[5],[6]] => [[1,2,5],[3,6],[4,7],[8],[9],[10]] => [10,9,8,4,7,3,6,1,2,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7,9],[2,8,10],[3],[4],[5],[6]] => [[1,3,5],[2,4,6],[7],[8],[9],[10]] => [10,9,8,7,2,4,6,1,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7,9,10],[2,8],[3],[4],[5],[6]] => [[1,2,3,5],[4,6],[7],[8],[9],[10]] => [10,9,8,7,4,6,1,2,3,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6],[2,7],[3,8],[4,9],[5,10]] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => [5,10,4,9,3,8,2,7,1,6] => ([(0,3),(0,5),(0,7),(0,9),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,10],[2,7],[3,8],[4,9],[5]] => [[1,2,6],[3,7],[4,8],[5,9],[10]] => [10,5,9,4,8,3,7,1,2,6] => ([(0,3),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,9),(2,4),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,9],[2,7,10],[3,8],[4],[5]] => [[1,3,6],[2,4,7],[5,8],[9],[10]] => [10,9,5,8,2,4,7,1,3,6] => ([(0,5),(0,7),(0,8),(0,9),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,6),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,9,10],[2,7],[3,8],[4],[5]] => [[1,2,3,6],[4,7],[5,8],[9],[10]] => [10,9,5,8,4,7,1,2,3,6] => ([(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,8,10],[2,7,9],[3],[4],[5]] => [[1,2,4,6],[3,5,7],[8],[9],[10]] => [10,9,8,3,5,7,1,2,4,6] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,8,9,10],[2,7],[3],[4],[5]] => [[1,2,3,4,6],[5,7],[8],[9],[10]] => [10,9,8,5,7,1,2,3,4,6] => ([(0,6),(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,9],[2,6,10],[3,7],[4,8]] => [[1,3,7],[2,4,8],[5,9],[6,10]] => [6,10,5,9,2,4,8,1,3,7] => ([(0,3),(0,8),(0,9),(1,2),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,9,10],[2,6],[3,7],[4,8]] => [[1,2,3,7],[4,8],[5,9],[6,10]] => [6,10,5,9,4,8,1,2,3,7] => ([(0,6),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,7),(2,3),(2,4),(2,5),(2,7),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,8],[2,6,9],[3,7,10],[4]] => [[1,4,7],[2,5,8],[3,6,9],[10]] => [10,3,6,9,2,5,8,1,4,7] => ([(0,6),(0,8),(0,9),(1,5),(1,7),(1,9),(2,3),(2,4),(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,8,10],[2,6,9],[3,7],[4]] => [[1,2,4,7],[3,5,8],[6,9],[10]] => [10,6,9,3,5,8,1,2,4,7] => ([(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,8),(1,9),(2,3),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,8,9,10],[2,6],[3,7],[4]] => [[1,2,3,4,7],[5,8],[6,9],[10]] => [10,6,9,5,8,1,2,3,4,7] => ([(0,7),(0,8),(0,9),(1,5),(1,6),(1,7),(1,8),(1,9),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,7,9],[2,6,8,10],[3],[4]] => [[1,3,5,7],[2,4,6,8],[9],[10]] => [10,9,2,4,6,8,1,3,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,7,9,10],[2,6,8],[3],[4]] => [[1,2,3,5,7],[4,6,8],[9],[10]] => [10,9,4,6,8,1,2,3,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,7,8,9,10],[2,6],[3],[4]] => [[1,2,3,4,5,7],[6,8],[9],[10]] => [10,9,6,8,1,2,3,4,5,7] => ([(0,7),(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,7,10],[2,5,8],[3,6,9]] => [[1,2,5,8],[3,6,9],[4,7,10]] => [4,7,10,3,6,9,1,2,5,8] => ([(0,6),(0,9),(1,5),(1,7),(1,8),(2,3),(2,4),(2,6),(2,9),(3,4),(3,5),(3,7),(3,8),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,4,7,9],[2,5,8,10],[3,6]] => [[1,3,5,8],[2,4,6,9],[7,10]] => [7,10,2,4,6,9,1,3,5,8] => ([(0,6),(0,9),(1,7),(1,8),(1,9),(2,5),(2,6),(2,8),(2,9),(3,4),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,9),(7,8),(7,9)],10)
[[1,4,7,9,10],[2,5,8],[3,6]] => [[1,2,3,5,8],[4,6,9],[7,10]] => [7,10,4,6,9,1,2,3,5,8] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,9),(8,9)],10)
[[1,4,7,8,9,10],[2,5],[3,6]] => [[1,2,3,4,5,8],[6,9],[7,10]] => [7,10,6,9,1,2,3,4,5,8] => ([(0,8),(0,9),(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(7,9),(8,9)],10)
[[1,4,6,8,10],[2,5,7,9],[3]] => [[1,2,4,6,8],[3,5,7,9],[10]] => [10,3,5,7,9,1,2,4,6,8] => ([(0,8),(0,9),(1,6),(1,7),(1,9),(2,5),(2,8),(2,9),(3,4),(3,6),(3,7),(3,9),(4,5),(4,8),(4,9),(5,6),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,6,8,9,10],[2,5,7],[3]] => [[1,2,3,4,6,8],[5,7,9],[10]] => [10,5,7,9,1,2,3,4,6,8] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,9),(7,9),(8,9)],10)
[[1,4,6,7,8,9,10],[2,5],[3]] => [[1,2,3,4,5,6,8],[7,9],[10]] => [10,7,9,1,2,3,4,5,6,8] => ([(0,8),(0,9),(1,7),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,3,5,7,9,10],[2,4,6,8]] => [[1,2,3,5,7,9],[4,6,8,10]] => [4,6,8,10,1,2,3,5,7,9] => ([(0,9),(1,8),(1,9),(2,5),(2,6),(2,7),(3,4),(3,8),(3,9),(4,5),(4,6),(4,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,3,5,7,8,9,10],[2,4,6]] => [[1,2,3,4,5,7,9],[6,8,10]] => [6,8,10,1,2,3,4,5,7,9] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)],10)
[[1,3,5,6,7,8,9,10],[2,4]] => [[1,2,3,4,5,6,7,9],[8,10]] => [8,10,1,2,3,4,5,6,7,9] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,3],[2,4],[5],[6],[7],[8],[9]] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8] => ([(0,1),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4],[2,5],[3,6],[7],[8],[9]] => [[1,7],[2,8],[3,9],[4],[5],[6]] => [6,5,4,3,9,2,8,1,7] => ([(0,1),(0,2),(1,2),(1,8),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4],[3,5],[6],[7],[8],[9]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9] => ([(1,2),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5],[2,6],[3,7],[4,8],[9]] => [[1,6],[2,7],[3,8],[4,9],[5]] => [5,4,9,3,8,2,7,1,6] => ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5],[3,6],[4,7],[8],[9]] => [[1,6,9],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6,9] => ([(1,2),(1,6),(2,6),(2,8),(3,4),(3,5),(3,7),(3,8),(4,5),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,5],[2,4,6],[7],[8],[9]] => [[1,6,8],[2,7,9],[3],[4],[5]] => [5,4,3,2,7,9,1,6,8] => ([(0,3),(1,2),(1,8),(2,3),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,5],[4,6],[7],[8],[9]] => [[1,6,8,9],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9] => ([(2,3),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,6],[3,7],[4,8],[5,9]] => [[1,5,9],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5,9] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(3,5),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,6],[2,4,7],[5,8],[9]] => [[1,5,8],[2,6,9],[3,7],[4]] => [4,3,7,2,6,9,1,5,8] => ([(0,5),(1,4),(1,5),(1,7),(2,3),(2,6),(2,8),(3,6),(3,8),(4,7),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,6],[4,7],[5,8],[9]] => [[1,5,8,9],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8,9] => ([(2,5),(2,7),(3,4),(3,6),(3,8),(4,6),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4,6],[3,5,7],[8],[9]] => [[1,5,7,9],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7,9] => ([(1,7),(2,3),(2,7),(3,8),(4,5),(4,6),(4,8),(5,6),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,6],[5,7],[8],[9]] => [[1,5,7,8,9],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9] => ([(3,4),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4,7],[3,5,8],[6,9]] => [[1,4,7,9],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7,9] => ([(1,6),(2,5),(2,8),(3,4),(3,6),(3,7),(4,7),(4,8),(5,7),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,7],[5,8],[6,9]] => [[1,4,7,8,9],[2,5],[3,6]] => [3,6,2,5,1,4,7,8,9] => ([(3,6),(3,8),(4,5),(4,7),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,5,7],[2,4,6,8],[9]] => [[1,4,6,8],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8] => ([(0,7),(1,2),(1,8),(2,8),(3,6),(3,8),(4,5),(4,7),(5,6),(5,8),(6,7),(7,8)],9)
[[1,2,3,5,7],[4,6,8],[9]] => [[1,4,6,8,9],[2,5,7],[3]] => [3,2,5,7,1,4,6,8,9] => ([(2,7),(3,4),(3,8),(4,8),(5,6),(5,8),(6,7),(7,8)],9)
[[1,2,3,4,5,7],[6,8],[9]] => [[1,4,6,7,8,9],[2,5],[3]] => [3,2,5,1,4,6,7,8,9] => ([(4,7),(5,6),(5,8),(6,8),(7,8)],9)
[[1,2,4,6,8],[3,5,7,9]] => [[1,3,5,7,9],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9] => ([(1,8),(2,7),(3,6),(3,7),(4,5),(4,8),(5,6),(5,7),(6,8),(7,8)],9)
[[1,2,3,4,6,8],[5,7,9]] => [[1,3,5,7,8,9],[2,4,6]] => [2,4,6,1,3,5,7,8,9] => ([(3,8),(4,7),(5,6),(5,7),(6,8),(7,8)],9)
[[1,2,3,4,5,6,8],[7,9]] => [[1,3,5,6,7,8,9],[2,4]] => [2,4,1,3,5,6,7,8,9] => ([(5,8),(6,7),(7,8)],9)
[[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,10,1,9] => ([(0,1),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4],[2,5],[3,6],[7],[8],[9],[10]] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => [7,6,5,4,3,10,2,9,1,8] => ([(0,1),(0,2),(1,2),(1,9),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4],[3,5],[6],[7],[8],[9],[10]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,9,1,8,10] => ([(1,2),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5],[2,6],[3,7],[4,8],[9],[10]] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => [6,5,4,10,3,9,2,8,1,7] => ([(0,1),(0,5),(0,7),(1,5),(1,7),(1,9),(2,3),(2,4),(2,6),(2,8),(2,9),(3,4),(3,6),(3,8),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5],[3,6],[4,7],[8],[9],[10]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => [6,5,4,3,9,2,8,1,7,10] => ([(1,2),(1,3),(2,3),(2,9),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,5],[2,4,6],[7],[8],[9],[10]] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => [6,5,4,3,2,8,10,1,7,9] => ([(0,3),(1,2),(1,9),(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5],[4,6],[7],[8],[9],[10]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7,9,10] => ([(2,3),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,6],[3,7],[4,8],[5,9],[10]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => [5,4,9,3,8,2,7,1,6,10] => ([(1,4),(1,6),(1,8),(2,3),(2,5),(2,7),(2,9),(3,5),(3,7),(3,9),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,6],[2,4,7],[5,8],[9],[10]] => [[1,6,9],[2,7,10],[3,8],[4],[5]] => [5,4,3,8,2,7,10,1,6,9] => ([(0,3),(1,2),(1,3),(1,7),(2,7),(2,9),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,6],[4,7],[5,8],[9],[10]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => [5,4,3,8,2,7,1,6,9,10] => ([(2,3),(2,7),(3,7),(3,9),(4,5),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6],[3,5,7],[8],[9],[10]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => [5,4,3,2,7,9,1,6,8,10] => ([(1,4),(2,3),(2,9),(3,4),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,6],[5,7],[8],[9],[10]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6,8,9,10] => ([(3,4),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,7],[2,4,8],[5,9],[6,10]] => [[1,5,9],[2,6,10],[3,7],[4,8]] => [4,8,3,7,2,6,10,1,5,9] => ([(0,2),(1,5),(1,7),(1,9),(2,3),(2,9),(3,4),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,7],[4,8],[5,9],[6,10]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5,9,10] => ([(2,5),(2,7),(2,9),(3,4),(3,6),(3,8),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,7],[2,5,8],[3,6,9],[10]] => [[1,5,8],[2,6,9],[3,7,10],[4]] => [4,3,7,10,2,6,9,1,5,8] => ([(0,6),(0,8),(1,2),(1,7),(1,9),(2,7),(2,9),(3,4),(3,5),(3,6),(3,8),(4,5),(4,8),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,7],[3,5,8],[6,9],[10]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => [4,3,7,2,6,9,1,5,8,10] => ([(1,6),(2,5),(2,6),(2,8),(3,4),(3,7),(3,9),(4,7),(4,9),(5,8),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,7],[5,8],[6,9],[10]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5,8,9,10] => ([(3,6),(3,8),(4,5),(4,7),(4,9),(5,7),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,5,7],[2,4,6,8],[9],[10]] => [[1,5,7,9],[2,6,8,10],[3],[4]] => [4,3,2,6,8,10,1,5,7,9] => ([(0,8),(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,9),(4,5),(4,9),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[[1,2,3,5,7],[4,6,8],[9],[10]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7,9,10] => ([(2,8),(3,4),(3,8),(4,9),(5,6),(5,7),(5,9),(6,7),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,7],[6,8],[9],[10]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => [4,3,2,6,1,5,7,8,9,10] => ([(4,5),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,8],[3,6,9],[4,7,10]] => [[1,4,7,10],[2,5,8],[3,6,9]] => [3,6,9,2,5,8,1,4,7,10] => ([(1,7),(1,9),(2,6),(2,8),(3,4),(3,5),(3,6),(3,8),(4,5),(4,7),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,5,8],[2,4,6,9],[7,10]] => [[1,4,7,9],[2,5,8,10],[3,6]] => [3,6,2,5,8,10,1,4,7,9] => ([(0,8),(1,4),(1,8),(2,5),(2,9),(3,6),(3,7),(3,9),(4,6),(4,9),(5,7),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,3,5,8],[4,6,9],[7,10]] => [[1,4,7,9,10],[2,5,8],[3,6]] => [3,6,2,5,8,1,4,7,9,10] => ([(2,7),(3,6),(3,9),(4,5),(4,7),(4,8),(5,8),(5,9),(6,8),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,8],[6,9],[7,10]] => [[1,4,7,8,9,10],[2,5],[3,6]] => [3,6,2,5,1,4,7,8,9,10] => ([(4,7),(4,9),(5,6),(5,8),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,8],[3,5,7,9],[10]] => [[1,4,6,8,10],[2,5,7,9],[3]] => [3,2,5,7,9,1,4,6,8,10] => ([(1,8),(2,3),(2,9),(3,9),(4,7),(4,9),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[[1,2,3,4,6,8],[5,7,9],[10]] => [[1,4,6,8,9,10],[2,5,7],[3]] => [3,2,5,7,1,4,6,8,9,10] => ([(3,8),(4,5),(4,9),(5,9),(6,7),(6,9),(7,8),(8,9)],10)
[[1,2,3,4,5,6,8],[7,9],[10]] => [[1,4,6,7,8,9,10],[2,5],[3]] => [3,2,5,1,4,6,7,8,9,10] => ([(5,8),(6,7),(6,9),(7,9),(8,9)],10)
[[1,2,3,5,7,9],[4,6,8,10]] => [[1,3,5,7,9,10],[2,4,6,8]] => [2,4,6,8,1,3,5,7,9,10] => ([(2,9),(3,8),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,3,4,5,7,9],[6,8,10]] => [[1,3,5,7,8,9,10],[2,4,6]] => [2,4,6,1,3,5,7,8,9,10] => ([(4,9),(5,8),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,9],[8,10]] => [[1,3,5,6,7,8,9,10],[2,4]] => [2,4,1,3,5,6,7,8,9,10] => ([(6,9),(7,8),(8,9)],10)
[[1,2],[3,4],[5,6],[7,9],[8,10]] => [[1,3],[2,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2],[3,4],[5,7],[6,8],[9,10]] => [[1,2],[3,5],[4,6],[7,8],[9,10]] => [9,10,7,8,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2],[3,4],[5,7],[6,9],[8,10]] => [[1,3],[2,5],[4,6],[7,8],[9,10]] => [9,10,7,8,4,6,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2],[3,4],[5,8],[6,9],[7,10]] => [[1,4],[2,5],[3,6],[7,8],[9,10]] => [9,10,7,8,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2],[3,5],[4,6],[7,8],[9,10]] => [[1,2],[3,4],[5,7],[6,8],[9,10]] => [9,10,6,8,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2],[3,5],[4,6],[7,9],[8,10]] => [[1,3],[2,4],[5,7],[6,8],[9,10]] => [9,10,6,8,5,7,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2],[3,5],[4,7],[6,8],[9,10]] => [[1,2],[3,5],[4,7],[6,8],[9,10]] => [9,10,6,8,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2],[3,5],[4,7],[6,9],[8,10]] => [[1,3],[2,5],[4,7],[6,8],[9,10]] => [9,10,6,8,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,5],[4,8],[6,9],[7,10]] => [[1,4],[2,5],[3,7],[6,8],[9,10]] => [9,10,6,8,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,2],[3,6],[4,7],[5,8],[9,10]] => [[1,2],[3,6],[4,7],[5,8],[9,10]] => [9,10,5,8,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2],[3,6],[4,7],[5,9],[8,10]] => [[1,3],[2,6],[4,7],[5,8],[9,10]] => [9,10,5,8,4,7,2,6,1,3] => ([(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,2],[3,6],[4,8],[5,9],[7,10]] => [[1,4],[2,6],[3,7],[5,8],[9,10]] => [9,10,5,8,3,7,2,6,1,4] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,7],[4,8],[5,9],[6,10]] => [[1,5],[2,6],[3,7],[4,8],[9,10]] => [9,10,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[[1,3],[2,4],[5,6],[7,8],[9,10]] => [[1,2],[3,4],[5,6],[7,9],[8,10]] => [8,10,7,9,5,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,3],[2,4],[5,6],[7,9],[8,10]] => [[1,3],[2,4],[5,6],[7,9],[8,10]] => [8,10,7,9,5,6,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[[1,3],[2,4],[5,7],[6,8],[9,10]] => [[1,2],[3,5],[4,6],[7,9],[8,10]] => [8,10,7,9,4,6,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[[1,3],[2,4],[5,7],[6,9],[8,10]] => [[1,3],[2,5],[4,6],[7,9],[8,10]] => [8,10,7,9,4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,4],[5,8],[6,9],[7,10]] => [[1,4],[2,5],[3,6],[7,9],[8,10]] => [8,10,7,9,3,6,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,5],[4,6],[7,8],[9,10]] => [[1,2],[3,4],[5,7],[6,9],[8,10]] => [8,10,6,9,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,3],[2,5],[4,6],[7,9],[8,10]] => [[1,3],[2,4],[5,7],[6,9],[8,10]] => [8,10,6,9,5,7,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,5],[4,7],[6,8],[9,10]] => [[1,2],[3,5],[4,7],[6,9],[8,10]] => [8,10,6,9,4,7,3,5,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,5],[4,7],[6,9],[8,10]] => [[1,3],[2,5],[4,7],[6,9],[8,10]] => [8,10,6,9,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,5],[4,8],[6,9],[7,10]] => [[1,4],[2,5],[3,7],[6,9],[8,10]] => [8,10,6,9,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[[1,3],[2,6],[4,7],[5,8],[9,10]] => [[1,2],[3,6],[4,7],[5,9],[8,10]] => [8,10,5,9,4,7,3,6,1,2] => ([(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,3],[2,6],[4,7],[5,9],[8,10]] => [[1,3],[2,6],[4,7],[5,9],[8,10]] => [8,10,5,9,4,7,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[[1,3],[2,6],[4,8],[5,9],[7,10]] => [[1,4],[2,6],[3,7],[5,9],[8,10]] => [8,10,5,9,3,7,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,7],[4,8],[5,9],[6,10]] => [[1,5],[2,6],[3,7],[4,9],[8,10]] => [8,10,4,9,3,7,2,6,1,5] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(1,3),(1,5),(1,7),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[[1,4],[2,5],[3,6],[7,8],[9,10]] => [[1,2],[3,4],[5,8],[6,9],[7,10]] => [7,10,6,9,5,8,3,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,4],[2,5],[3,6],[7,9],[8,10]] => [[1,3],[2,4],[5,8],[6,9],[7,10]] => [7,10,6,9,5,8,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4],[2,5],[3,7],[6,8],[9,10]] => [[1,2],[3,5],[4,8],[6,9],[7,10]] => [7,10,6,9,4,8,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,4],[2,5],[3,7],[6,9],[8,10]] => [[1,3],[2,5],[4,8],[6,9],[7,10]] => [7,10,6,9,4,8,2,5,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,8),(5,9),(6,7),(6,8),(7,8),(7,9),(8,9)],10)
[[1,4],[2,5],[3,8],[6,9],[7,10]] => [[1,4],[2,5],[3,8],[6,9],[7,10]] => [7,10,6,9,3,8,2,5,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,9),(1,2),(1,4),(1,5),(1,6),(1,8),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4],[2,6],[3,7],[5,8],[9,10]] => [[1,2],[3,6],[4,8],[5,9],[7,10]] => [7,10,5,9,4,8,3,6,1,2] => ([(0,1),(0,3),(0,5),(0,6),(0,7),(0,9),(1,2),(1,4),(1,6),(1,7),(1,8),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4],[2,6],[3,7],[5,9],[8,10]] => [[1,3],[2,6],[4,8],[5,9],[7,10]] => [7,10,5,9,4,8,2,6,1,3] => ([(0,2),(0,3),(0,4),(0,7),(0,8),(0,9),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,8),(4,6),(4,7),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4],[2,6],[3,8],[5,9],[7,10]] => [[1,4],[2,6],[3,8],[5,9],[7,10]] => [7,10,5,9,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,9),(1,2),(1,3),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4],[2,7],[3,8],[5,9],[6,10]] => [[1,5],[2,6],[3,8],[4,9],[7,10]] => [7,10,4,9,3,8,2,6,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5],[2,6],[3,7],[4,8],[9,10]] => [[1,2],[3,7],[4,8],[5,9],[6,10]] => [6,10,5,9,4,8,3,7,1,2] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(1,2),(1,4),(1,6),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9)],10)
[[1,5],[2,6],[3,7],[4,9],[8,10]] => [[1,3],[2,7],[4,8],[5,9],[6,10]] => [6,10,5,9,4,8,2,7,1,3] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(1,3),(1,5),(1,7),(1,8),(1,9),(2,4),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,8),(6,9),(7,8),(8,9)],10)
[[1,5],[2,6],[3,8],[4,9],[7,10]] => [[1,4],[2,7],[3,8],[5,9],[6,10]] => [6,10,5,9,3,8,2,7,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,3),(2,5),(2,6),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5],[2,7],[3,8],[4,9],[6,10]] => [[1,5],[2,7],[3,8],[4,9],[6,10]] => [6,10,4,9,3,8,2,7,1,5] => ([(0,1),(0,3),(0,5),(0,7),(0,9),(1,2),(1,4),(1,6),(1,8),(2,4),(2,6),(2,8),(2,9),(3,5),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]] => [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]] => [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]] => [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,4,6,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]] => [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]] => [11,12,9,10,7,8,3,6,2,5,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]] => [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]] => [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,5,7,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]] => [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,4,7,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]] => [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]] => [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]] => [11,12,9,10,6,8,3,7,2,5,1,4] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]] => [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]] => [11,12,9,10,5,8,4,7,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]] => [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]] => [11,12,9,10,5,8,4,7,2,6,1,3] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]] => [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]] => [11,12,9,10,5,8,3,7,2,6,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]] => [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]] => [11,12,9,10,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]] => [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,5,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]] => [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,5,6,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]] => [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,4,6,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]] => [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]] => [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]] => [11,12,8,10,7,9,3,6,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]] => [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,5,7,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]] => [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,5,7,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]] => [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,4,7,3,5,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]] => [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]] => [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]] => [11,12,8,10,6,9,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]] => [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]] => [11,12,8,10,5,9,4,7,3,6,1,2] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]] => [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]] => [11,12,8,10,5,9,4,7,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]] => [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]] => [11,12,8,10,5,9,3,7,2,6,1,4] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]] => [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]] => [11,12,8,10,4,9,3,7,2,6,1,5] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]] => [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,5,8,3,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]] => [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,5,8,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]] => [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,4,8,3,5,1,2] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]] => [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,4,8,2,5,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]] => [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]] => [11,12,7,10,6,9,3,8,2,5,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]] => [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]] => [11,12,7,10,5,9,4,8,3,6,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]] => [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]] => [11,12,7,10,5,9,4,8,2,6,1,3] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]] => [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]] => [11,12,7,10,5,9,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]] => [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]] => [11,12,7,10,4,9,3,8,2,6,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]] => [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]] => [11,12,6,10,5,9,4,8,3,7,1,2] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]] => [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]] => [11,12,6,10,5,9,4,8,2,7,1,3] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]] => [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]] => [11,12,6,10,5,9,3,8,2,7,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]] => [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]] => [11,12,6,10,4,9,3,8,2,7,1,5] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]] => [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]] => [11,12,5,10,4,9,3,8,2,7,1,6] => ([(0,3),(0,5),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]] => [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,5,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]] => [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,5,6,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]] => [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,4,6,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]] => [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]] => [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]] => [10,12,9,11,7,8,3,6,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]] => [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,5,7,3,4,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]] => [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,5,7,2,4,1,3] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]] => [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,4,7,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]] => [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,4,7,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]] => [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]] => [10,12,9,11,6,8,3,7,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]] => [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]] => [10,12,9,11,5,8,4,7,3,6,1,2] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]] => [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]] => [10,12,9,11,5,8,4,7,2,6,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]] => [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]] => [10,12,9,11,5,8,3,7,2,6,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]] => [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]] => [10,12,9,11,4,8,3,7,2,6,1,5] => ([(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]] => [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,5,6,3,4,1,2] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]] => [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,5,6,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]] => [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,4,6,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]] => [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,3),(2,4),(2,5),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]] => [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]] => [10,12,8,11,7,9,3,6,2,5,1,4] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]] => [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,5,7,3,4,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]] => [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,5,7,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]] => [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,4,7,3,5,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,4,7,2,5,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(2,3),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]] => [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]] => [10,12,8,11,6,9,3,7,2,5,1,4] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]] => [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]] => [10,12,8,11,5,9,4,7,3,6,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]] => [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]] => [10,12,8,11,5,9,4,7,2,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]] => [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]] => [10,12,8,11,5,9,3,7,2,6,1,4] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,11),(3,4),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]] => [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]] => [10,12,8,11,4,9,3,7,2,6,1,5] => ([(0,2),(0,4),(0,6),(0,7),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]] => [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,5,8,3,4,1,2] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]] => [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,5,8,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]] => [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,4,8,3,5,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]] => [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,4,8,2,5,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,9),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]] => [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]] => [10,12,7,11,6,9,3,8,2,5,1,4] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,7),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]] => [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]] => [10,12,7,11,5,9,4,8,3,6,1,2] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]] => [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]] => [10,12,7,11,5,9,4,8,2,6,1,3] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(2,11),(3,5),(3,6),(3,7),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]] => [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]] => [10,12,7,11,5,9,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]] => [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]] => [10,12,7,11,4,9,3,8,2,6,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,8),(0,9),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]] => [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]] => [10,12,6,11,5,9,4,8,3,7,1,2] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]] => [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]] => [10,12,6,11,5,9,4,8,2,7,1,3] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(9,11),(10,11)],12)
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]] => [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]] => [10,12,6,11,5,9,3,8,2,7,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]] => [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]] => [10,12,6,11,4,9,3,8,2,7,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,3),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]] => [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]] => [10,12,5,11,4,9,3,8,2,7,1,6] => ([(0,2),(0,4),(0,6),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,9),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]] => [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,5,6,3,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]] => [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,5,6,2,4,1,3] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]] => [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,4,6,3,5,1,2] => ([(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]] => [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,4,6,2,5,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]] => [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]] => [9,12,8,11,7,10,3,6,2,5,1,4] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,7),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,8),(3,9),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]] => [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,5,7,3,4,1,2] => ([(0,2),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,3),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]] => [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,5,7,2,4,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]] => [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,4,7,3,5,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]] => [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,4,7,2,5,1,3] => ([(0,2),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,11),(1,3),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]] => [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]] => [9,12,8,11,6,10,3,7,2,5,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,7),(1,8),(1,10),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]] => [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]] => [9,12,8,11,5,10,4,7,3,6,1,2] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]] => [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]] => [9,12,8,11,5,10,4,7,2,6,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,9),(2,11),(3,4),(3,5),(3,6),(3,7),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]] => [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]] => [9,12,8,11,5,10,3,7,2,6,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,7),(1,8),(1,9),(1,10),(2,3),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]] => [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]] => [9,12,8,11,4,10,3,7,2,6,1,5] => ([(0,2),(0,4),(0,5),(0,6),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]] => [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,5,8,3,4,1,2] => ([(0,3),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]] => [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,5,8,2,4,1,3] => ([(0,1),(0,3),(0,4),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]] => [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,4,8,3,5,1,2] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,5),(1,6),(1,8),(1,9),(1,10),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]] => [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,4,8,2,5,1,3] => ([(0,3),(0,4),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,8),(2,9),(2,11),(3,4),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,9),(6,10),(7,8),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]] => [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]] => [9,12,7,11,6,10,3,8,2,5,1,4] => ([(0,1),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,7),(1,8),(1,9),(1,10),(2,3),(2,5),(2,6),(2,7),(2,8),(2,10),(2,11),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,6),(4,7),(4,9),(4,10),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]] => [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]] => [9,12,7,11,5,10,4,8,3,6,1,2] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]] => [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]] => [9,12,7,11,5,10,4,8,2,6,1,3] => ([(0,1),(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,2),(1,5),(1,6),(1,7),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]] => [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]] => [9,12,7,11,5,10,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,8),(1,10),(2,3),(2,4),(2,6),(2,8),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]] => [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]] => [9,12,7,11,4,10,3,8,2,6,1,5] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(0,9),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]] => [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]] => [9,12,6,11,5,10,4,8,3,7,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]] => [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]] => [9,12,6,11,5,10,4,8,2,7,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(10,11)],12)
[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]] => [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]] => [9,12,6,11,5,10,3,8,2,7,1,4] => ([(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,3),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,9),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]] => [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]] => [9,12,6,11,4,10,3,8,2,7,1,5] => ([(0,1),(0,2),(0,4),(0,5),(0,9),(0,10),(0,11),(1,4),(1,5),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]] => [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]] => [9,12,5,11,4,10,3,8,2,7,1,6] => ([(0,2),(0,4),(0,5),(0,7),(0,9),(0,11),(1,3),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]] => [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,5,9,3,4,1,2] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11)],12)
[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]] => [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,5,9,2,4,1,3] => ([(0,3),(0,5),(0,6),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]] => [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,4,9,3,5,1,2] => ([(0,2),(0,4),(0,6),(0,7),(0,9),(0,10),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]] => [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,4,9,2,5,1,3] => ([(0,2),(0,4),(0,6),(0,7),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(6,11),(7,10),(7,11),(8,9),(8,10),(9,10),(9,11),(10,11)],12)
[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]] => [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]] => [8,12,7,11,6,10,3,9,2,5,1,4] => ([(0,2),(0,4),(0,5),(0,6),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,4),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,10),(4,11),(5,6),(5,7),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]] => [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]] => [8,12,7,11,5,10,4,9,3,6,1,2] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,11),(10,11)],12)
[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]] => [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]] => [8,12,7,11,5,10,4,9,2,6,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,8),(0,9),(0,11),(1,4),(1,5),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]] => [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]] => [8,12,7,11,5,10,3,9,2,6,1,4] => ([(0,2),(0,3),(0,4),(0,6),(0,7),(0,9),(0,11),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,5),(3,8),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,10),(7,8),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]] => [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]] => [8,12,7,11,4,10,3,9,2,6,1,5] => ([(0,3),(0,5),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,8),(2,10),(3,4),(3,5),(3,7),(3,9),(3,11),(4,5),(4,6),(4,8),(4,10),(4,11),(5,7),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]] => [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]] => [8,12,6,11,5,10,4,9,3,7,1,2] => ([(0,1),(0,3),(0,5),(0,7),(0,8),(0,9),(0,11),(1,2),(1,4),(1,6),(1,8),(1,9),(1,10),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]] => [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]] => [8,12,6,11,5,10,4,9,2,7,1,3] => ([(0,2),(0,3),(0,5),(0,6),(0,9),(0,10),(0,11),(1,3),(1,4),(1,6),(1,7),(1,8),(1,10),(1,11),(2,5),(2,6),(2,7),(2,9),(2,10),(2,11),(3,4),(3,6),(3,7),(3,8),(3,10),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]] => [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]] => [8,12,6,11,5,10,3,9,2,7,1,4] => ([(0,1),(0,2),(0,4),(0,5),(0,9),(0,10),(0,11),(1,4),(1,5),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,6),(2,7),(2,8),(2,10),(3,4),(3,6),(3,7),(3,8),(3,10),(3,11),(4,5),(4,7),(4,9),(4,11),(5,6),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]] => [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]] => [8,12,6,11,4,10,3,9,2,7,1,5] => ([(0,1),(0,2),(0,3),(0,5),(0,7),(0,9),(0,11),(1,2),(1,3),(1,4),(1,6),(1,8),(1,10),(2,4),(2,6),(2,8),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]] => [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]] => [8,12,5,11,4,10,3,9,2,7,1,6] => ([(0,2),(0,3),(0,5),(0,6),(0,8),(0,11),(1,4),(1,5),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]] => [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]] => [7,12,6,11,5,10,4,9,3,8,1,2] => ([(0,3),(0,5),(0,7),(0,9),(0,10),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11)],12)
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]] => [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]] => [7,12,6,11,5,10,4,9,2,8,1,3] => ([(0,2),(0,4),(0,6),(0,8),(0,9),(0,11),(1,3),(1,5),(1,7),(1,9),(1,10),(1,11),(2,4),(2,6),(2,8),(2,9),(2,10),(2,11),(3,5),(3,7),(3,8),(3,9),(3,10),(3,11),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,10),(8,11),(9,10),(10,11)],12)
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]] => [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]] => [7,12,6,11,5,10,3,9,2,8,1,4] => ([(0,2),(0,4),(0,5),(0,7),(0,9),(0,11),(1,3),(1,6),(1,7),(1,8),(1,10),(1,11),(2,4),(2,5),(2,7),(2,9),(2,10),(2,11),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,10),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]] => [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]] => [7,12,6,11,4,10,3,9,2,8,1,5] => ([(0,2),(0,3),(0,5),(0,6),(0,8),(0,11),(1,4),(1,5),(1,7),(1,9),(1,10),(1,11),(2,3),(2,5),(2,6),(2,8),(2,10),(2,11),(3,6),(3,8),(3,9),(3,10),(3,11),(4,5),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,9),(5,10),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]] => [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]] => [7,12,5,11,4,10,3,9,2,8,1,6] => ([(0,1),(0,3),(0,5),(0,7),(0,9),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(2,4),(2,6),(2,8),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => [6,12,5,11,4,10,3,9,2,8,1,7] => ([(0,3),(0,5),(0,7),(0,9),(0,11),(1,2),(1,4),(1,6),(1,8),(1,10),(2,4),(2,6),(2,8),(2,10),(2,11),(3,5),(3,7),(3,9),(3,10),(3,11),(4,6),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,7,9],[8]] => [[1,2,4,5,6,7,8,9],[3]] => [3,1,2,4,5,6,7,8,9] => ([(6,8),(7,8)],9)
[[1,2,9],[3],[4],[5],[6],[7],[8]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2,9] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,4,5,6,7,8,9,10],[3]] => [3,1,2,4,5,6,7,8,9,10] => ([(7,9),(8,9)],10)
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2,10] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[] => [] => [] => ([],0)
[[1,2,4,5,6,7,8,9],[3]] => [[1,2,3,4,5,6,7,9],[8]] => [8,1,2,3,4,5,6,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,6,7,8,9],[2,5]] => [[1,2,3,4,5,7,8],[6,9]] => [6,9,1,2,3,4,5,7,8] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,3,5,6,7,8,9],[2],[4]] => [[1,2,3,4,5,6,8],[7],[9]] => [9,7,1,2,3,4,5,6,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,6,7,8,9],[2],[3],[5]] => [[1,2,3,4,5,7],[6],[8],[9]] => [9,8,6,1,2,3,4,5,7] => ([(0,7),(0,8),(1,6),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,7,8,9],[2],[3],[4],[6]] => [[1,2,3,4,6],[5],[7],[8],[9]] => [9,8,7,5,1,2,3,4,6] => ([(0,6),(0,7),(0,8),(1,5),(1,6),(1,7),(1,8),(2,5),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6,8,9],[2],[3],[4],[5],[7]] => [[1,2,3,5],[4],[6],[7],[8],[9]] => [9,8,7,6,4,1,2,3,5] => ([(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,7,9],[2],[3],[4],[5],[6],[8]] => [[1,2,4],[3],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,1,2,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,8],[2],[3],[4],[5],[6],[7],[9]] => [[1,3],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4,5,6,7,8,9,10],[3]] => [[1,2,3,4,5,6,7,8,10],[9]] => [9,1,2,3,4,5,6,7,8,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,6,7,8,9,10],[2,5]] => [[1,2,3,4,5,6,8,9],[7,10]] => [7,10,1,2,3,4,5,6,8,9] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,6,7,8],[2,9]] => [[1,3,4,5,6,7,8],[2,9]] => [2,9,1,3,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[1,3,4,5,6,7,8],[2],[9]] => [[1,3,4,5,6,7,8],[2],[9]] => [9,2,1,3,4,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5,6,7],[2,9],[8]] => [[1,2,5,6,7,8],[3,4],[9]] => [9,3,4,1,2,5,6,7,8] => ([(0,8),(1,8),(2,8),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,8),(7,8)],9)
[[1,3,4,5],[2],[6],[7],[8],[9]] => [[1,6,7,8],[2],[3],[4],[5],[9]] => [9,5,4,3,2,1,6,7,8] => ([(0,8),(1,8),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4],[2],[5],[6],[7],[8],[9]] => [[1,7,8],[2],[3],[4],[5],[6],[9]] => [9,6,5,4,3,2,1,7,8] => ([(0,8),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3],[2],[4],[5],[6],[7],[8],[9]] => [[1,8],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8] => ([(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5,6,7,8,9],[2,10]] => [[1,3,4,5,6,7,8,9],[2,10]] => [2,10,1,3,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[[1,3,4,5,6,7,8,9],[2],[10]] => [[1,3,4,5,6,7,8,9],[2],[10]] => [10,2,1,3,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,6,7,8],[2,10],[9]] => [[1,2,5,6,7,8,9],[3,4],[10]] => [10,3,4,1,2,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,3,4,5],[2,7,8],[6,10],[9]] => [[1,2,5,9],[3,4,8],[6,7],[10]] => [10,6,7,3,4,8,1,2,5,9] => ([(0,9),(1,2),(1,7),(1,8),(1,9),(2,5),(2,6),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,3,4],[2,6],[5,8],[7,10],[9]] => [[1,2,9],[3,4],[5,6],[7,8],[10]] => [10,7,8,5,6,3,4,1,2,9] => ([(0,9),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9),(8,9)],10)
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]] => [[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [10,7,6,5,4,3,2,1,8,9] => ([(0,9),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [10,8,7,6,5,4,3,2,1,9] => ([(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,8,10],[3,5,7,9]] => [[1,2,4,6,8,10],[3,5,7,9]] => [3,5,7,9,1,2,4,6,8,10] => ([(1,9),(2,7),(2,8),(3,6),(3,9),(4,5),(4,7),(4,8),(5,6),(5,9),(6,7),(6,8),(7,9),(8,9)],10)
[[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,3,4,5,6,7,9,10],[8]] => [8,1,2,3,4,5,6,7,9,10] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,4,5,6,8,9,10],[7]] => [7,1,2,3,4,5,6,8,9,10] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,5,6,7,8,9,10],[4]] => [4,1,2,3,5,6,7,8,9,10] => ([(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,6,7,8,9,10],[5]] => [5,1,2,3,4,6,7,8,9,10] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,5,7,8,9,10],[6]] => [6,1,2,3,4,5,7,8,9,10] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,8,9,10,12],[11]] => [[1,2,4,5,6,7,8,9,10,11,12],[3]] => [3,1,2,4,5,6,7,8,9,10,11,12] => ([(9,11),(10,11)],12)
[[1,7,8],[2],[3],[4],[5],[6],[9]] => [[1,3,4],[2],[5],[6],[7],[8],[9]] => [9,8,7,6,5,2,1,3,4] => ([(0,4),(0,5),(0,6),(0,7),(0,8),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5,9],[3,4,8],[6,7],[10]] => [[1,3,4,5],[2,7,8],[6,10],[9]] => [9,6,10,2,7,8,1,3,4,5] => ([(0,6),(0,7),(0,8),(0,9),(1,4),(1,5),(1,7),(1,8),(1,9),(2,4),(2,5),(2,7),(2,8),(2,9),(3,4),(3,5),(3,7),(3,8),(3,9),(4,6),(4,8),(4,9),(5,6),(5,8),(5,9),(6,7),(6,8),(6,9),(7,9)],10)
[[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3,9] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,7,8,9,10],[3],[4],[5],[6]] => [[1,2,3,4,5,10],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5,10] => ([(1,6),(1,7),(1,8),(1,9),(2,6),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,6,7,8,9],[3],[10]] => [[1,3,4,5,6,7,8,10],[2],[9]] => [9,2,1,3,4,5,6,7,8,10] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [10,9,8,6,5,4,3,2,1,7] => ([(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]] => [[1,5],[2],[3],[4],[6],[7],[8],[9],[10]] => [10,9,8,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => [[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]] => [12,10,9,8,7,6,5,4,3,2,1,11] => ([(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]] => [[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]] => [12,11,10,8,7,6,5,4,3,2,1,9] => ([(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]] => [[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => [12,11,10,9,8,7,6,5,4,2,1,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]] => [[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]] => [12,11,10,9,8,7,6,4,3,2,1,5] => ([(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]] => [[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]] => [12,11,10,9,8,6,5,4,3,2,1,7] => ([(0,7),(0,8),(0,9),(0,10),(0,11),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(1,10),(1,11),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(2,10),(2,11),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(3,10),(3,11),(4,5),(4,6),(4,7),(4,8),(4,9),(4,10),(4,11),(5,6),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4],[3],[5],[6],[7],[8],[9]] => [[1,7,9],[2],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,1,7,9] => ([(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4],[3],[5],[6],[7],[8],[9],[10]] => [[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => [9,7,6,5,4,3,2,1,8,10] => ([(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,7,8,9],[3,5]] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[1,2,4,5,6,7,8],[3,9]] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[1,3,5,7,9],[2,4,6,8],[10]] => [[1,3,5,7,9],[2,6,8,10],[4]] => [4,2,6,8,10,1,3,5,7,9] => ([(0,9),(1,7),(1,9),(2,5),(2,8),(3,4),(3,7),(3,9),(4,6),(4,8),(5,6),(5,8),(6,7),(6,9),(7,8),(8,9)],10)
[[1,2],[3,9],[4],[5],[6],[7],[8]] => [[1,2],[3,9],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,9,1,2] => ([(0,7),(0,8),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(1,8),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(3,4),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8)],9)
[[1,3,4,5,6,7,8,10],[2,9]] => [[1,2,4,5,6,7,8,9],[3,10]] => [3,10,1,2,4,5,6,7,8,9] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
[[1,2,9],[3],[4],[5],[6],[7],[8],[10]] => [[1,3,10],[2],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,2,1,3,10] => ([(1,4),(1,5),(1,6),(1,7),(1,8),(1,9),(2,3),(2,4),(2,5),(2,6),(2,7),(2,8),(2,9),(3,4),(3,5),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,7],[4,5,6],[8,9],[10]] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => ([(0,5),(0,8),(0,9),(1,5),(1,8),(1,9),(2,3),(2,7),(2,8),(2,9),(3,6),(3,7),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
Map
Schützenberger involution
Description
Sends a standard tableau to the standard tableau obtained via the Schützenberger involution.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
searching the database
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