Identifier
Mp00084:
Standard tableaux
—conjugate⟶
Standard tableaux
Mp00085: Standard tableaux —Schützenberger involution⟶ Standard tableaux
Mp00085: Standard tableaux —Schützenberger involution⟶ Standard tableaux
Images
=>
Cc0007;cc-rep-0Cc0007;cc-rep-1Cc0007;cc-rep-2
[[1]]=>[[1]]=>[[1]]
[[1,2]]=>[[1],[2]]=>[[1],[2]]
[[1],[2]]=>[[1,2]]=>[[1,2]]
[[1,2,3]]=>[[1],[2],[3]]=>[[1],[2],[3]]
[[1,3],[2]]=>[[1,2],[3]]=>[[1,3],[2]]
[[1,2],[3]]=>[[1,3],[2]]=>[[1,2],[3]]
[[1],[2],[3]]=>[[1,2,3]]=>[[1,2,3]]
[[1,2,3,4]]=>[[1],[2],[3],[4]]=>[[1],[2],[3],[4]]
[[1,3,4],[2]]=>[[1,2],[3],[4]]=>[[1,4],[2],[3]]
[[1,2,4],[3]]=>[[1,3],[2],[4]]=>[[1,3],[2],[4]]
[[1,2,3],[4]]=>[[1,4],[2],[3]]=>[[1,2],[3],[4]]
[[1,3],[2,4]]=>[[1,2],[3,4]]=>[[1,2],[3,4]]
[[1,2],[3,4]]=>[[1,3],[2,4]]=>[[1,3],[2,4]]
[[1,4],[2],[3]]=>[[1,2,3],[4]]=>[[1,3,4],[2]]
[[1,3],[2],[4]]=>[[1,2,4],[3]]=>[[1,2,4],[3]]
[[1,2],[3],[4]]=>[[1,3,4],[2]]=>[[1,2,3],[4]]
[[1],[2],[3],[4]]=>[[1,2,3,4]]=>[[1,2,3,4]]
[[1,2,3,4,5]]=>[[1],[2],[3],[4],[5]]=>[[1],[2],[3],[4],[5]]
[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]=>[[1,5],[2],[3],[4]]
[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]=>[[1,4],[2],[3],[5]]
[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]=>[[1,3],[2],[4],[5]]
[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]
[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]=>[[1,3],[2,5],[4]]
[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]=>[[1,4],[2,5],[3]]
[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]=>[[1,2],[3,5],[4]]
[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]=>[[1,2],[3,4],[5]]
[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]=>[[1,3],[2,4],[5]]
[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]=>[[1,3,4],[2],[5]]
[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]=>[[1,2,5],[3],[4]]
[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]=>[[1,2,5],[3,4]]
[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]=>[[1,3,5],[2,4]]
[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]=>[[1,3,4],[2,5]]
[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]=>[[1,2,3],[4,5]]
[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]=>[[1,2,4],[3,5]]
[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]=>[[1,3,4,5],[2]]
[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]=>[[1,2,4,5],[3]]
[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]=>[[1,2,3,5],[4]]
[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]=>[[1,2,3,4],[5]]
[[1],[2],[3],[4],[5]]=>[[1,2,3,4,5]]=>[[1,2,3,4,5]]
[[1,2,3,4,5,6]]=>[[1],[2],[3],[4],[5],[6]]=>[[1],[2],[3],[4],[5],[6]]
[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]=>[[1,6],[2],[3],[4],[5]]
[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]=>[[1,5],[2],[3],[4],[6]]
[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]=>[[1,4],[2],[3],[5],[6]]
[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]=>[[1,3],[2],[4],[5],[6]]
[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]
[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]=>[[1,4],[2,6],[3],[5]]
[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]=>[[1,5],[2,6],[3],[4]]
[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]=>[[1,3],[2,6],[4],[5]]
[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]=>[[1,3],[2,5],[4],[6]]
[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]=>[[1,4],[2,5],[3],[6]]
[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]=>[[1,2],[3,6],[4],[5]]
[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]=>[[1,2],[3,5],[4],[6]]
[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]=>[[1,2],[3,4],[5],[6]]
[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]=>[[1,3],[2,4],[5],[6]]
[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]=>[[1,4,6],[2],[3],[5]]
[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]=>[[1,4,5],[2],[3],[6]]
[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]=>[[1,3,6],[2],[4],[5]]
[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]=>[[1,3,5],[2],[4],[6]]
[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]=>[[1,3,4],[2],[5],[6]]
[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]=>[[1,2,6],[3],[4],[5]]
[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]=>[[1,2,5],[3],[4],[6]]
[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]=>[[1,2,4],[3],[5],[6]]
[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3],[4],[5],[6]]
[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]=>[[1,2],[3,4],[5,6]]
[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]=>[[1,2],[3,5],[4,6]]
[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]=>[[1,3],[2,4],[5,6]]
[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]=>[[1,3],[2,5],[4,6]]
[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]=>[[1,4],[2,5],[3,6]]
[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]=>[[1,3,6],[2,5],[4]]
[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]=>[[1,4,6],[2,5],[3]]
[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]=>[[1,4,5],[2,6],[3]]
[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]=>[[1,3,4],[2,6],[5]]
[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]=>[[1,3,5],[2,6],[4]]
[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]=>[[1,2,6],[3,5],[4]]
[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]=>[[1,2,6],[3,4],[5]]
[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,4],[6]]
[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]=>[[1,3,6],[2,4],[5]]
[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]=>[[1,3,5],[2,4],[6]]
[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]=>[[1,3,4],[2,5],[6]]
[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]=>[[1,2,4],[3,6],[5]]
[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,6],[4]]
[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]=>[[1,2,3],[4,6],[5]]
[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]=>[[1,2,3],[4,5],[6]]
[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]=>[[1,2,4],[3,5],[6]]
[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]=>[[1,3,5,6],[2],[4]]
[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]=>[[1,3,4,6],[2],[5]]
[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]=>[[1,3,4,5],[2],[6]]
[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]=>[[1,2,5,6],[3],[4]]
[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]=>[[1,2,4,6],[3],[5]]
[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]=>[[1,2,4,5],[3],[6]]
[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]
[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]=>[[1,2,3,5],[4],[6]]
[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]=>[[1,2,3,4],[5],[6]]
[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]=>[[1,2,3],[4,5,6]]
[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]=>[[1,2,4],[3,5,6]]
[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]=>[[1,2,5],[3,4,6]]
[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]=>[[1,3,4],[2,5,6]]
[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]=>[[1,3,5],[2,4,6]]
[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]=>[[1,2,5,6],[3,4]]
[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]=>[[1,3,5,6],[2,4]]
[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]=>[[1,3,4,6],[2,5]]
[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]=>[[1,3,4,5],[2,6]]
[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]=>[[1,2,3,6],[4,5]]
[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]=>[[1,2,4,6],[3,5]]
[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]
[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]=>[[1,2,3,4],[5,6]]
[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]=>[[1,2,3,5],[4,6]]
[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]=>[[1,3,4,5,6],[2]]
[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]=>[[1,2,4,5,6],[3]]
[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]=>[[1,2,3,5,6],[4]]
[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]=>[[1,2,3,4,6],[5]]
[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]=>[[1,2,3,4,5],[6]]
[[1],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6]]=>[[1,2,3,4,5,6]]
[[1,2,3,4,5,6,7]]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1],[2],[3],[4],[5],[6],[7]]
[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,6],[2],[3],[4],[5],[7]]
[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,5],[2],[3],[4],[6],[7]]
[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,4],[2],[3],[5],[6],[7]]
[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,3],[2],[4],[5],[6],[7]]
[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]
[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,5],[2,7],[3],[4],[6]]
[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,6],[2,7],[3],[4],[5]]
[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,4],[2,7],[3],[5],[6]]
[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,4],[2,6],[3],[5],[7]]
[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,5],[2,6],[3],[4],[7]]
[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3],[2,7],[4],[5],[6]]
[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,3],[2,6],[4],[5],[7]]
[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,3],[2,5],[4],[6],[7]]
[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,4],[2,5],[3],[6],[7]]
[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,2],[3,7],[4],[5],[6]]
[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2],[3,6],[4],[5],[7]]
[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2],[3,5],[4],[6],[7]]
[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2],[3,4],[5],[6],[7]]
[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,3],[2,4],[5],[6],[7]]
[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,5,6],[2],[3],[4],[7]]
[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,4,6],[2],[3],[5],[7]]
[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,4,5],[2],[3],[6],[7]]
[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,3,6],[2],[4],[5],[7]]
[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,3,5],[2],[4],[6],[7]]
[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,3,4],[2],[5],[6],[7]]
[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,2,7],[3],[4],[5],[6]]
[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]
[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,4],[3],[5],[6],[7]]
[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3],[4],[5],[6],[7]]
[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3],[2,5],[4,7],[6]]
[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]=>[[1,3],[2,6],[4,7],[5]]
[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]=>[[1,4],[2,5],[3,7],[6]]
[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]=>[[1,4],[2,6],[3,7],[5]]
[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]=>[[1,5],[2,6],[3,7],[4]]
[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]=>[[1,2],[3,5],[4,7],[6]]
[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2],[3,6],[4,7],[5]]
[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]=>[[1,2],[3,4],[5,7],[6]]
[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2],[3,4],[5,6],[7]]
[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2],[3,5],[4,6],[7]]
[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3],[2,4],[5,7],[6]]
[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]=>[[1,3],[2,4],[5,6],[7]]
[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]=>[[1,3],[2,5],[4,6],[7]]
[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]=>[[1,4],[2,5],[3,6],[7]]
[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]=>[[1,5,6],[2,7],[3],[4]]
[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]=>[[1,4,5],[2,7],[3],[6]]
[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]=>[[1,4,6],[2,7],[3],[5]]
[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]=>[[1,3,7],[2,6],[4],[5]]
[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]=>[[1,3,6],[2,5],[4],[7]]
[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]=>[[1,4,7],[2,5],[3],[6]]
[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]=>[[1,4,6],[2,5],[3],[7]]
[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]=>[[1,4,5],[2,6],[3],[7]]
[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5],[2,7],[4],[6]]
[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]=>[[1,3,6],[2,7],[4],[5]]
[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4],[2,7],[5],[6]]
[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]=>[[1,3,4],[2,6],[5],[7]]
[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]=>[[1,3,5],[2,6],[4],[7]]
[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]=>[[1,2,7],[3,6],[4],[5]]
[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]=>[[1,2,7],[3,5],[4],[6]]
[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]=>[[1,2,7],[3,4],[5],[6]]
[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,5],[3,4],[6],[7]]
[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,7],[2,4],[5],[6]]
[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]=>[[1,3,6],[2,4],[5],[7]]
[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]=>[[1,3,5],[2,4],[6],[7]]
[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]=>[[1,3,4],[2,5],[6],[7]]
[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]=>[[1,2,5],[3,7],[4],[6]]
[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,6],[3,7],[4],[5]]
[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]=>[[1,2,4],[3,7],[5],[6]]
[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4],[3,6],[5],[7]]
[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4],[7]]
[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]=>[[1,2,3],[4,7],[5],[6]]
[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,3],[4,6],[5],[7]]
[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3],[4,5],[6],[7]]
[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,4],[3,5],[6],[7]]
[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]=>[[1,4,5,7],[2],[3],[6]]
[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]=>[[1,4,5,6],[2],[3],[7]]
[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]=>[[1,3,6,7],[2],[4],[5]]
[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]=>[[1,3,5,6],[2],[4],[7]]
[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]=>[[1,3,4,6],[2],[5],[7]]
[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]=>[[1,3,4,5],[2],[6],[7]]
[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]=>[[1,2,6,7],[3],[4],[5]]
[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]=>[[1,2,5,7],[3],[4],[6]]
[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]=>[[1,2,4,7],[3],[5],[6]]
[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,4,5],[3],[6],[7]]
[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]
[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]
[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]=>[[1,2,7],[3,4],[5,6]]
[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]=>[[1,2,7],[3,5],[4,6]]
[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5],[4,7]]
[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]=>[[1,2,5],[3,4],[6,7]]
[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4],[5,7]]
[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]=>[[1,3,7],[2,4],[5,6]]
[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,7],[2,5],[4,6]]
[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]=>[[1,3,6],[2,5],[4,7]]
[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]=>[[1,4,7],[2,5],[3,6]]
[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]=>[[1,4,6],[2,5],[3,7]]
[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]=>[[1,4,5],[2,6],[3,7]]
[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4],[6,7]]
[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]=>[[1,3,6],[2,4],[5,7]]
[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5],[6,7]]
[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]=>[[1,3,4],[2,6],[5,7]]
[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]=>[[1,3,5],[2,6],[4,7]]
[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]=>[[1,2,3],[4,5],[6,7]]
[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,3],[4,6],[5,7]]
[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]=>[[1,2,4],[3,5],[6,7]]
[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,6],[5,7]]
[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,5],[3,6],[4,7]]
[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]=>[[1,3,4],[2,6,7],[5]]
[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,5],[2,6,7],[4]]
[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]=>[[1,3,6],[2,5,7],[4]]
[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]=>[[1,4,5],[2,6,7],[3]]
[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]=>[[1,4,6],[2,5,7],[3]]
[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]=>[[1,2,4],[3,6,7],[5]]
[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]=>[[1,2,5],[3,6,7],[4]]
[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5,7],[4]]
[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]=>[[1,2,5],[3,4,7],[6]]
[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4,7],[5]]
[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]=>[[1,2,3],[4,6,7],[5]]
[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]=>[[1,2,3],[4,5,7],[6]]
[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,3],[4,5,6],[7]]
[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]=>[[1,2,4],[3,5,7],[6]]
[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,5,6],[7]]
[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,5],[3,4,6],[7]]
[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4,7],[6]]
[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]=>[[1,3,6],[2,4,7],[5]]
[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5,7],[6]]
[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]=>[[1,3,4],[2,5,6],[7]]
[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]=>[[1,3,5],[2,4,6],[7]]
[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]=>[[1,3,6,7],[2,5],[4]]
[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,6,7],[2,5],[3]]
[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]=>[[1,4,5,7],[2,6],[3]]
[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]=>[[1,4,5,6],[2,7],[3]]
[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]=>[[1,3,4,7],[2,6],[5]]
[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,5,7],[2,6],[4]]
[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]=>[[1,3,5,6],[2,7],[4]]
[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,4,5],[2,7],[6]]
[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]=>[[1,3,4,6],[2,7],[5]]
[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]=>[[1,2,6,7],[3,5],[4]]
[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]=>[[1,2,6,7],[3,4],[5]]
[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]=>[[1,2,5,7],[3,4],[6]]
[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,5,6],[3,4],[7]]
[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]=>[[1,3,6,7],[2,4],[5]]
[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5,7],[2,4],[6]]
[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]=>[[1,3,5,6],[2,4],[7]]
[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4,7],[2,5],[6]]
[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]=>[[1,3,4,6],[2,5],[7]]
[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]=>[[1,3,4,5],[2,6],[7]]
[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]=>[[1,2,4,7],[3,6],[5]]
[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]=>[[1,2,5,7],[3,6],[4]]
[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,5,6],[3,7],[4]]
[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]=>[[1,2,4,5],[3,7],[6]]
[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,4,6],[3,7],[5]]
[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]=>[[1,2,3,7],[4,6],[5]]
[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]=>[[1,2,3,7],[4,5],[6]]
[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,3,6],[4,5],[7]]
[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]=>[[1,2,4,7],[3,5],[6]]
[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,5],[7]]
[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,4,5],[3,6],[7]]
[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]=>[[1,2,3,5],[4,7],[6]]
[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,3,6],[4,7],[5]]
[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]=>[[1,2,3,4],[5,7],[6]]
[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,3,4],[5,6],[7]]
[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3,5],[4,6],[7]]
[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]=>[[1,3,5,6,7],[2],[4]]
[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]=>[[1,3,4,6,7],[2],[5]]
[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,4,5,7],[2],[6]]
[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]=>[[1,3,4,5,6],[2],[7]]
[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]=>[[1,2,5,6,7],[3],[4]]
[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]=>[[1,2,4,6,7],[3],[5]]
[[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,5,7],[3],[6]]=>[[1,2,4,5,7],[3],[6]]
[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,4,5,6],[3],[7]]
[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]=>[[1,2,3,6,7],[4],[5]]
[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]=>[[1,2,3,5,7],[4],[6]]
[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,3,5,6],[4],[7]]
[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]=>[[1,2,3,4,7],[5],[6]]
[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,3,4,6],[5],[7]]
[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3,4,5],[6],[7]]
[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]=>[[1,2,3,7],[4,5,6]]
[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]=>[[1,2,4,7],[3,5,6]]
[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]=>[[1,2,5,7],[3,4,6]]
[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]=>[[1,2,5,6],[3,4,7]]
[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]=>[[1,3,4,7],[2,5,6]]
[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]=>[[1,3,5,7],[2,4,6]]
[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]=>[[1,3,5,6],[2,4,7]]
[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]=>[[1,3,4,5],[2,6,7]]
[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]=>[[1,3,4,6],[2,5,7]]
[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]=>[[1,2,3,4],[5,6,7]]
[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]=>[[1,2,3,5],[4,6,7]]
[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]=>[[1,2,3,6],[4,5,7]]
[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]=>[[1,2,4,5],[3,6,7]]
[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]=>[[1,2,4,6],[3,5,7]]
[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]=>[[1,2,5,6,7],[3,4]]
[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]=>[[1,3,5,6,7],[2,4]]
[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]=>[[1,3,4,6,7],[2,5]]
[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]=>[[1,3,4,5,7],[2,6]]
[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]=>[[1,3,4,5,6],[2,7]]
[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]=>[[1,2,3,6,7],[4,5]]
[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]=>[[1,2,4,6,7],[3,5]]
[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]=>[[1,2,4,5,7],[3,6]]
[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]
[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]=>[[1,2,3,4,7],[5,6]]
[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]=>[[1,2,3,5,7],[4,6]]
[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]=>[[1,2,3,5,6],[4,7]]
[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]=>[[1,2,3,4,5],[6,7]]
[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]=>[[1,2,3,4,6],[5,7]]
[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]=>[[1,3,4,5,6,7],[2]]
[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]=>[[1,2,4,5,6,7],[3]]
[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]=>[[1,2,3,5,6,7],[4]]
[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]=>[[1,2,3,4,6,7],[5]]
[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]=>[[1,2,3,4,5,7],[6]]
[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]=>[[1,2,3,4,5,6],[7]]
[[1],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7]]=>[[1,2,3,4,5,6,7]]
[[1,2,3,4,5,6,7,8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]
[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[[1,2,4,5,6,7,8],[3]]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[[1,7],[2],[3],[4],[5],[6],[8]]
[[1,2,3,5,6,7,8],[4]]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[[1,6],[2],[3],[4],[5],[7],[8]]
[[1,2,3,4,6,7,8],[5]]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,5],[2],[3],[4],[6],[7],[8]]
[[1,2,3,4,5,7,8],[6]]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[[1,4],[2],[3],[5],[6],[7],[8]]
[[1,2,3,4,5,6,8],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,3],[2],[4],[5],[6],[7],[8]]
[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[[1,3,5,6,7,8],[2,4]]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[[1,6],[2,8],[3],[4],[5],[7]]
[[1,2,5,6,7,8],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8]]=>[[1,7],[2,8],[3],[4],[5],[6]]
[[1,3,4,6,7,8],[2,5]]=>[[1,2],[3,5],[4],[6],[7],[8]]=>[[1,5],[2,8],[3],[4],[6],[7]]
[[1,2,4,6,7,8],[3,5]]=>[[1,3],[2,5],[4],[6],[7],[8]]=>[[1,5],[2,7],[3],[4],[6],[8]]
[[1,2,3,6,7,8],[4,5]]=>[[1,4],[2,5],[3],[6],[7],[8]]=>[[1,6],[2,7],[3],[4],[5],[8]]
[[1,3,4,5,7,8],[2,6]]=>[[1,2],[3,6],[4],[5],[7],[8]]=>[[1,4],[2,8],[3],[5],[6],[7]]
[[1,2,4,5,7,8],[3,6]]=>[[1,3],[2,6],[4],[5],[7],[8]]=>[[1,4],[2,7],[3],[5],[6],[8]]
[[1,2,3,5,7,8],[4,6]]=>[[1,4],[2,6],[3],[5],[7],[8]]=>[[1,4],[2,6],[3],[5],[7],[8]]
[[1,2,3,4,7,8],[5,6]]=>[[1,5],[2,6],[3],[4],[7],[8]]=>[[1,5],[2,6],[3],[4],[7],[8]]
[[1,3,4,5,6,8],[2,7]]=>[[1,2],[3,7],[4],[5],[6],[8]]=>[[1,3],[2,8],[4],[5],[6],[7]]
[[1,2,4,5,6,8],[3,7]]=>[[1,3],[2,7],[4],[5],[6],[8]]=>[[1,3],[2,7],[4],[5],[6],[8]]
[[1,2,3,5,6,8],[4,7]]=>[[1,4],[2,7],[3],[5],[6],[8]]=>[[1,3],[2,6],[4],[5],[7],[8]]
[[1,2,3,4,6,8],[5,7]]=>[[1,5],[2,7],[3],[4],[6],[8]]=>[[1,3],[2,5],[4],[6],[7],[8]]
[[1,2,3,4,5,8],[6,7]]=>[[1,6],[2,7],[3],[4],[5],[8]]=>[[1,4],[2,5],[3],[6],[7],[8]]
[[1,3,4,5,6,7],[2,8]]=>[[1,2],[3,8],[4],[5],[6],[7]]=>[[1,2],[3,8],[4],[5],[6],[7]]
[[1,2,4,5,6,7],[3,8]]=>[[1,3],[2,8],[4],[5],[6],[7]]=>[[1,2],[3,7],[4],[5],[6],[8]]
[[1,2,3,5,6,7],[4,8]]=>[[1,4],[2,8],[3],[5],[6],[7]]=>[[1,2],[3,6],[4],[5],[7],[8]]
[[1,2,3,4,6,7],[5,8]]=>[[1,5],[2,8],[3],[4],[6],[7]]=>[[1,2],[3,5],[4],[6],[7],[8]]
[[1,2,3,4,5,7],[6,8]]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[[1,2],[3,4],[5],[6],[7],[8]]
[[1,2,3,4,5,6],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6]]=>[[1,3],[2,4],[5],[6],[7],[8]]
[[1,4,5,6,7,8],[2],[3]]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[[1,7,8],[2],[3],[4],[5],[6]]
[[1,3,5,6,7,8],[2],[4]]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[[1,6,8],[2],[3],[4],[5],[7]]
[[1,2,5,6,7,8],[3],[4]]=>[[1,3,4],[2],[5],[6],[7],[8]]=>[[1,6,7],[2],[3],[4],[5],[8]]
[[1,3,4,6,7,8],[2],[5]]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[[1,5,8],[2],[3],[4],[6],[7]]
[[1,2,4,6,7,8],[3],[5]]=>[[1,3,5],[2],[4],[6],[7],[8]]=>[[1,5,7],[2],[3],[4],[6],[8]]
[[1,2,3,6,7,8],[4],[5]]=>[[1,4,5],[2],[3],[6],[7],[8]]=>[[1,5,6],[2],[3],[4],[7],[8]]
[[1,3,4,5,7,8],[2],[6]]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[[1,4,8],[2],[3],[5],[6],[7]]
[[1,2,4,5,7,8],[3],[6]]=>[[1,3,6],[2],[4],[5],[7],[8]]=>[[1,4,7],[2],[3],[5],[6],[8]]
[[1,2,3,5,7,8],[4],[6]]=>[[1,4,6],[2],[3],[5],[7],[8]]=>[[1,4,6],[2],[3],[5],[7],[8]]
[[1,2,3,4,7,8],[5],[6]]=>[[1,5,6],[2],[3],[4],[7],[8]]=>[[1,4,5],[2],[3],[6],[7],[8]]
[[1,3,4,5,6,8],[2],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[[1,3,8],[2],[4],[5],[6],[7]]
[[1,2,4,5,6,8],[3],[7]]=>[[1,3,7],[2],[4],[5],[6],[8]]=>[[1,3,7],[2],[4],[5],[6],[8]]
[[1,2,3,5,6,8],[4],[7]]=>[[1,4,7],[2],[3],[5],[6],[8]]=>[[1,3,6],[2],[4],[5],[7],[8]]
[[1,2,3,4,6,8],[5],[7]]=>[[1,5,7],[2],[3],[4],[6],[8]]=>[[1,3,5],[2],[4],[6],[7],[8]]
[[1,2,3,4,5,8],[6],[7]]=>[[1,6,7],[2],[3],[4],[5],[8]]=>[[1,3,4],[2],[5],[6],[7],[8]]
[[1,3,4,5,6,7],[2],[8]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,8],[3],[4],[5],[6],[7]]
[[1,2,4,5,6,7],[3],[8]]=>[[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]
[[1,2,3,5,6,7],[4],[8]]=>[[1,4,8],[2],[3],[5],[6],[7]]=>[[1,2,6],[3],[4],[5],[7],[8]]
[[1,2,3,4,6,7],[5],[8]]=>[[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,5],[3],[4],[6],[7],[8]]
[[1,2,3,4,5,7],[6],[8]]=>[[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,4],[3],[5],[6],[7],[8]]
[[1,2,3,4,5,6],[7],[8]]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[[1,3,5,7,8],[2,4,6]]=>[[1,2],[3,4],[5,6],[7],[8]]=>[[1,4],[2,6],[3,8],[5],[7]]
[[1,2,5,7,8],[3,4,6]]=>[[1,3],[2,4],[5,6],[7],[8]]=>[[1,4],[2,7],[3,8],[5],[6]]
[[1,3,4,7,8],[2,5,6]]=>[[1,2],[3,5],[4,6],[7],[8]]=>[[1,5],[2,6],[3,8],[4],[7]]
[[1,2,4,7,8],[3,5,6]]=>[[1,3],[2,5],[4,6],[7],[8]]=>[[1,5],[2,7],[3,8],[4],[6]]
[[1,2,3,7,8],[4,5,6]]=>[[1,4],[2,5],[3,6],[7],[8]]=>[[1,6],[2,7],[3,8],[4],[5]]
[[1,3,5,6,8],[2,4,7]]=>[[1,2],[3,4],[5,7],[6],[8]]=>[[1,3],[2,6],[4,8],[5],[7]]
[[1,2,5,6,8],[3,4,7]]=>[[1,3],[2,4],[5,7],[6],[8]]=>[[1,3],[2,7],[4,8],[5],[6]]
[[1,3,4,6,8],[2,5,7]]=>[[1,2],[3,5],[4,7],[6],[8]]=>[[1,3],[2,5],[4,8],[6],[7]]
[[1,2,4,6,8],[3,5,7]]=>[[1,3],[2,5],[4,7],[6],[8]]=>[[1,3],[2,5],[4,7],[6],[8]]
[[1,2,3,6,8],[4,5,7]]=>[[1,4],[2,5],[3,7],[6],[8]]=>[[1,3],[2,6],[4,7],[5],[8]]
[[1,3,4,5,8],[2,6,7]]=>[[1,2],[3,6],[4,7],[5],[8]]=>[[1,4],[2,5],[3,8],[6],[7]]
[[1,2,4,5,8],[3,6,7]]=>[[1,3],[2,6],[4,7],[5],[8]]=>[[1,4],[2,5],[3,7],[6],[8]]
[[1,2,3,5,8],[4,6,7]]=>[[1,4],[2,6],[3,7],[5],[8]]=>[[1,4],[2,6],[3,7],[5],[8]]
[[1,2,3,4,8],[5,6,7]]=>[[1,5],[2,6],[3,7],[4],[8]]=>[[1,5],[2,6],[3,7],[4],[8]]
[[1,3,5,6,7],[2,4,8]]=>[[1,2],[3,4],[5,8],[6],[7]]=>[[1,2],[3,6],[4,8],[5],[7]]
[[1,2,5,6,7],[3,4,8]]=>[[1,3],[2,4],[5,8],[6],[7]]=>[[1,2],[3,7],[4,8],[5],[6]]
[[1,3,4,6,7],[2,5,8]]=>[[1,2],[3,5],[4,8],[6],[7]]=>[[1,2],[3,5],[4,8],[6],[7]]
[[1,2,4,6,7],[3,5,8]]=>[[1,3],[2,5],[4,8],[6],[7]]=>[[1,2],[3,5],[4,7],[6],[8]]
[[1,2,3,6,7],[4,5,8]]=>[[1,4],[2,5],[3,8],[6],[7]]=>[[1,2],[3,6],[4,7],[5],[8]]
[[1,3,4,5,7],[2,6,8]]=>[[1,2],[3,6],[4,8],[5],[7]]=>[[1,2],[3,4],[5,8],[6],[7]]
[[1,2,4,5,7],[3,6,8]]=>[[1,3],[2,6],[4,8],[5],[7]]=>[[1,2],[3,4],[5,7],[6],[8]]
[[1,2,3,5,7],[4,6,8]]=>[[1,4],[2,6],[3,8],[5],[7]]=>[[1,2],[3,4],[5,6],[7],[8]]
[[1,2,3,4,7],[5,6,8]]=>[[1,5],[2,6],[3,8],[4],[7]]=>[[1,2],[3,5],[4,6],[7],[8]]
[[1,3,4,5,6],[2,7,8]]=>[[1,2],[3,7],[4,8],[5],[6]]=>[[1,3],[2,4],[5,8],[6],[7]]
[[1,2,4,5,6],[3,7,8]]=>[[1,3],[2,7],[4,8],[5],[6]]=>[[1,3],[2,4],[5,7],[6],[8]]
[[1,2,3,5,6],[4,7,8]]=>[[1,4],[2,7],[3,8],[5],[6]]=>[[1,3],[2,4],[5,6],[7],[8]]
[[1,2,3,4,6],[5,7,8]]=>[[1,5],[2,7],[3,8],[4],[6]]=>[[1,3],[2,5],[4,6],[7],[8]]
[[1,2,3,4,5],[6,7,8]]=>[[1,6],[2,7],[3,8],[4],[5]]=>[[1,4],[2,5],[3,6],[7],[8]]
[[1,4,6,7,8],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7],[8]]=>[[1,5,8],[2,7],[3],[4],[6]]
[[1,3,6,7,8],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7],[8]]=>[[1,6,8],[2,7],[3],[4],[5]]
[[1,2,6,7,8],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7],[8]]=>[[1,6,7],[2,8],[3],[4],[5]]
[[1,3,6,7,8],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7],[8]]=>[[1,5,6],[2,8],[3],[4],[7]]
[[1,2,6,7,8],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7],[8]]=>[[1,5,7],[2,8],[3],[4],[6]]
[[1,4,5,7,8],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7],[8]]=>[[1,4,8],[2,7],[3],[5],[6]]
[[1,3,5,7,8],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7],[8]]=>[[1,4,8],[2,6],[3],[5],[7]]
[[1,2,5,7,8],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7],[8]]=>[[1,4,7],[2,6],[3],[5],[8]]
[[1,3,4,7,8],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7],[8]]=>[[1,5,8],[2,6],[3],[4],[7]]
[[1,2,4,7,8],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7],[8]]=>[[1,5,7],[2,6],[3],[4],[8]]
[[1,2,3,7,8],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7],[8]]=>[[1,5,6],[2,7],[3],[4],[8]]
[[1,3,5,7,8],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7],[8]]=>[[1,4,6],[2,8],[3],[5],[7]]
[[1,2,5,7,8],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7],[8]]=>[[1,4,7],[2,8],[3],[5],[6]]
[[1,3,4,7,8],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7],[8]]=>[[1,4,5],[2,8],[3],[6],[7]]
[[1,2,4,7,8],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7],[8]]=>[[1,4,5],[2,7],[3],[6],[8]]
[[1,2,3,7,8],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7],[8]]=>[[1,4,6],[2,7],[3],[5],[8]]
[[1,4,5,6,8],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6],[8]]=>[[1,3,8],[2,7],[4],[5],[6]]
[[1,3,5,6,8],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6],[8]]=>[[1,3,8],[2,6],[4],[5],[7]]
[[1,2,5,6,8],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6],[8]]=>[[1,3,7],[2,6],[4],[5],[8]]
[[1,3,4,6,8],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6],[8]]=>[[1,3,8],[2,5],[4],[6],[7]]
[[1,2,4,6,8],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6],[8]]=>[[1,3,7],[2,5],[4],[6],[8]]
[[1,2,3,6,8],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6],[8]]=>[[1,3,6],[2,5],[4],[7],[8]]
[[1,3,4,5,8],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5],[8]]=>[[1,4,8],[2,5],[3],[6],[7]]
[[1,2,4,5,8],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5],[8]]=>[[1,4,7],[2,5],[3],[6],[8]]
[[1,2,3,5,8],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5],[8]]=>[[1,4,6],[2,5],[3],[7],[8]]
[[1,2,3,4,8],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4],[8]]=>[[1,4,5],[2,6],[3],[7],[8]]
[[1,3,5,6,8],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6],[8]]=>[[1,3,6],[2,8],[4],[5],[7]]
[[1,2,5,6,8],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6],[8]]=>[[1,3,7],[2,8],[4],[5],[6]]
[[1,3,4,6,8],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6],[8]]=>[[1,3,5],[2,8],[4],[6],[7]]
[[1,2,4,6,8],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6],[8]]=>[[1,3,5],[2,7],[4],[6],[8]]
[[1,2,3,6,8],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6],[8]]=>[[1,3,6],[2,7],[4],[5],[8]]
[[1,3,4,5,8],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5],[8]]=>[[1,3,4],[2,8],[5],[6],[7]]
[[1,2,4,5,8],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5],[8]]=>[[1,3,4],[2,7],[5],[6],[8]]
[[1,2,3,5,8],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5],[8]]=>[[1,3,4],[2,6],[5],[7],[8]]
[[1,2,3,4,8],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4],[8]]=>[[1,3,5],[2,6],[4],[7],[8]]
[[1,4,5,6,7],[2,8],[3]]=>[[1,2,3],[4,8],[5],[6],[7]]=>[[1,2,8],[3,7],[4],[5],[6]]
[[1,3,5,6,7],[2,8],[4]]=>[[1,2,4],[3,8],[5],[6],[7]]=>[[1,2,8],[3,6],[4],[5],[7]]
[[1,2,5,6,7],[3,8],[4]]=>[[1,3,4],[2,8],[5],[6],[7]]=>[[1,2,7],[3,6],[4],[5],[8]]
[[1,3,4,6,7],[2,8],[5]]=>[[1,2,5],[3,8],[4],[6],[7]]=>[[1,2,8],[3,5],[4],[6],[7]]
[[1,2,4,6,7],[3,8],[5]]=>[[1,3,5],[2,8],[4],[6],[7]]=>[[1,2,7],[3,5],[4],[6],[8]]
[[1,2,3,6,7],[4,8],[5]]=>[[1,4,5],[2,8],[3],[6],[7]]=>[[1,2,6],[3,5],[4],[7],[8]]
[[1,3,4,5,7],[2,8],[6]]=>[[1,2,6],[3,8],[4],[5],[7]]=>[[1,2,8],[3,4],[5],[6],[7]]
[[1,2,4,5,7],[3,8],[6]]=>[[1,3,6],[2,8],[4],[5],[7]]=>[[1,2,7],[3,4],[5],[6],[8]]
[[1,2,3,5,7],[4,8],[6]]=>[[1,4,6],[2,8],[3],[5],[7]]=>[[1,2,6],[3,4],[5],[7],[8]]
[[1,2,3,4,7],[5,8],[6]]=>[[1,5,6],[2,8],[3],[4],[7]]=>[[1,2,5],[3,4],[6],[7],[8]]
[[1,3,4,5,6],[2,8],[7]]=>[[1,2,7],[3,8],[4],[5],[6]]=>[[1,3,8],[2,4],[5],[6],[7]]
[[1,2,4,5,6],[3,8],[7]]=>[[1,3,7],[2,8],[4],[5],[6]]=>[[1,3,7],[2,4],[5],[6],[8]]
[[1,2,3,5,6],[4,8],[7]]=>[[1,4,7],[2,8],[3],[5],[6]]=>[[1,3,6],[2,4],[5],[7],[8]]
[[1,2,3,4,6],[5,8],[7]]=>[[1,5,7],[2,8],[3],[4],[6]]=>[[1,3,5],[2,4],[6],[7],[8]]
[[1,2,3,4,5],[6,8],[7]]=>[[1,6,7],[2,8],[3],[4],[5]]=>[[1,3,4],[2,5],[6],[7],[8]]
[[1,3,5,6,7],[2,4],[8]]=>[[1,2,8],[3,4],[5],[6],[7]]=>[[1,2,6],[3,8],[4],[5],[7]]
[[1,2,5,6,7],[3,4],[8]]=>[[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,7],[3,8],[4],[5],[6]]
[[1,3,4,6,7],[2,5],[8]]=>[[1,2,8],[3,5],[4],[6],[7]]=>[[1,2,5],[3,8],[4],[6],[7]]
[[1,2,4,6,7],[3,5],[8]]=>[[1,3,8],[2,5],[4],[6],[7]]=>[[1,2,5],[3,7],[4],[6],[8]]
[[1,2,3,6,7],[4,5],[8]]=>[[1,4,8],[2,5],[3],[6],[7]]=>[[1,2,6],[3,7],[4],[5],[8]]
[[1,3,4,5,7],[2,6],[8]]=>[[1,2,8],[3,6],[4],[5],[7]]=>[[1,2,4],[3,8],[5],[6],[7]]
[[1,2,4,5,7],[3,6],[8]]=>[[1,3,8],[2,6],[4],[5],[7]]=>[[1,2,4],[3,7],[5],[6],[8]]
[[1,2,3,5,7],[4,6],[8]]=>[[1,4,8],[2,6],[3],[5],[7]]=>[[1,2,4],[3,6],[5],[7],[8]]
[[1,2,3,4,7],[5,6],[8]]=>[[1,5,8],[2,6],[3],[4],[7]]=>[[1,2,5],[3,6],[4],[7],[8]]
[[1,3,4,5,6],[2,7],[8]]=>[[1,2,8],[3,7],[4],[5],[6]]=>[[1,2,3],[4,8],[5],[6],[7]]
[[1,2,4,5,6],[3,7],[8]]=>[[1,3,8],[2,7],[4],[5],[6]]=>[[1,2,3],[4,7],[5],[6],[8]]
[[1,2,3,5,6],[4,7],[8]]=>[[1,4,8],[2,7],[3],[5],[6]]=>[[1,2,3],[4,6],[5],[7],[8]]
[[1,2,3,4,6],[5,7],[8]]=>[[1,5,8],[2,7],[3],[4],[6]]=>[[1,2,3],[4,5],[6],[7],[8]]
[[1,2,3,4,5],[6,7],[8]]=>[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,4],[3,5],[6],[7],[8]]
[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[[1,6,7,8],[2],[3],[4],[5]]
[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[[1,5,7,8],[2],[3],[4],[6]]
[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[[1,5,6,8],[2],[3],[4],[7]]
[[1,2,6,7,8],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7],[8]]=>[[1,5,6,7],[2],[3],[4],[8]]
[[1,4,5,7,8],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[[1,4,7,8],[2],[3],[5],[6]]
[[1,3,5,7,8],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[[1,4,6,8],[2],[3],[5],[7]]
[[1,2,5,7,8],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7],[8]]=>[[1,4,6,7],[2],[3],[5],[8]]
[[1,3,4,7,8],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7],[8]]=>[[1,4,5,8],[2],[3],[6],[7]]
[[1,2,4,7,8],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7],[8]]=>[[1,4,5,7],[2],[3],[6],[8]]
[[1,2,3,7,8],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7],[8]]=>[[1,4,5,6],[2],[3],[7],[8]]
[[1,4,5,6,8],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[[1,3,7,8],[2],[4],[5],[6]]
[[1,3,5,6,8],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[[1,3,6,8],[2],[4],[5],[7]]
[[1,2,5,6,8],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6],[8]]=>[[1,3,6,7],[2],[4],[5],[8]]
[[1,3,4,6,8],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[[1,3,5,8],[2],[4],[6],[7]]
[[1,2,4,6,8],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6],[8]]=>[[1,3,5,7],[2],[4],[6],[8]]
[[1,2,3,6,8],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6],[8]]=>[[1,3,5,6],[2],[4],[7],[8]]
[[1,3,4,5,8],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[[1,3,4,8],[2],[5],[6],[7]]
[[1,2,4,5,8],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5],[8]]=>[[1,3,4,7],[2],[5],[6],[8]]
[[1,2,3,5,8],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5],[8]]=>[[1,3,4,6],[2],[5],[7],[8]]
[[1,2,3,4,8],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4],[8]]=>[[1,3,4,5],[2],[6],[7],[8]]
[[1,4,5,6,7],[2],[3],[8]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,7,8],[3],[4],[5],[6]]
[[1,3,5,6,7],[2],[4],[8]]=>[[1,2,4,8],[3],[5],[6],[7]]=>[[1,2,6,8],[3],[4],[5],[7]]
[[1,2,5,6,7],[3],[4],[8]]=>[[1,3,4,8],[2],[5],[6],[7]]=>[[1,2,6,7],[3],[4],[5],[8]]
[[1,3,4,6,7],[2],[5],[8]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[[1,2,5,8],[3],[4],[6],[7]]
[[1,2,4,6,7],[3],[5],[8]]=>[[1,3,5,8],[2],[4],[6],[7]]=>[[1,2,5,7],[3],[4],[6],[8]]
[[1,2,3,6,7],[4],[5],[8]]=>[[1,4,5,8],[2],[3],[6],[7]]=>[[1,2,5,6],[3],[4],[7],[8]]
[[1,3,4,5,7],[2],[6],[8]]=>[[1,2,6,8],[3],[4],[5],[7]]=>[[1,2,4,8],[3],[5],[6],[7]]
[[1,2,4,5,7],[3],[6],[8]]=>[[1,3,6,8],[2],[4],[5],[7]]=>[[1,2,4,7],[3],[5],[6],[8]]
[[1,2,3,5,7],[4],[6],[8]]=>[[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]
[[1,2,3,4,7],[5],[6],[8]]=>[[1,5,6,8],[2],[3],[4],[7]]=>[[1,2,4,5],[3],[6],[7],[8]]
[[1,3,4,5,6],[2],[7],[8]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]
[[1,2,4,5,6],[3],[7],[8]]=>[[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6],[8]]
[[1,2,3,5,6],[4],[7],[8]]=>[[1,4,7,8],[2],[3],[5],[6]]=>[[1,2,3,6],[4],[5],[7],[8]]
[[1,2,3,4,6],[5],[7],[8]]=>[[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,3,5],[4],[6],[7],[8]]
[[1,2,3,4,5],[6],[7],[8]]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4],[5],[6],[7],[8]]
[[1,3,5,7],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8]]=>[[1,2],[3,4],[5,6],[7,8]]
[[1,2,5,7],[3,4,6,8]]=>[[1,3],[2,4],[5,6],[7,8]]=>[[1,2],[3,4],[5,7],[6,8]]
[[1,3,4,7],[2,5,6,8]]=>[[1,2],[3,5],[4,6],[7,8]]=>[[1,2],[3,5],[4,6],[7,8]]
[[1,2,4,7],[3,5,6,8]]=>[[1,3],[2,5],[4,6],[7,8]]=>[[1,2],[3,5],[4,7],[6,8]]
[[1,2,3,7],[4,5,6,8]]=>[[1,4],[2,5],[3,6],[7,8]]=>[[1,2],[3,6],[4,7],[5,8]]
[[1,3,5,6],[2,4,7,8]]=>[[1,2],[3,4],[5,7],[6,8]]=>[[1,3],[2,4],[5,6],[7,8]]
[[1,2,5,6],[3,4,7,8]]=>[[1,3],[2,4],[5,7],[6,8]]=>[[1,3],[2,4],[5,7],[6,8]]
[[1,3,4,6],[2,5,7,8]]=>[[1,2],[3,5],[4,7],[6,8]]=>[[1,3],[2,5],[4,6],[7,8]]
[[1,2,4,6],[3,5,7,8]]=>[[1,3],[2,5],[4,7],[6,8]]=>[[1,3],[2,5],[4,7],[6,8]]
[[1,2,3,6],[4,5,7,8]]=>[[1,4],[2,5],[3,7],[6,8]]=>[[1,3],[2,6],[4,7],[5,8]]
[[1,3,4,5],[2,6,7,8]]=>[[1,2],[3,6],[4,7],[5,8]]=>[[1,4],[2,5],[3,6],[7,8]]
[[1,2,4,5],[3,6,7,8]]=>[[1,3],[2,6],[4,7],[5,8]]=>[[1,4],[2,5],[3,7],[6,8]]
[[1,2,3,5],[4,6,7,8]]=>[[1,4],[2,6],[3,7],[5,8]]=>[[1,4],[2,6],[3,7],[5,8]]
[[1,2,3,4],[5,6,7,8]]=>[[1,5],[2,6],[3,7],[4,8]]=>[[1,5],[2,6],[3,7],[4,8]]
[[1,4,6,8],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7],[8]]=>[[1,3,8],[2,5],[4,7],[6]]
[[1,3,6,8],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7],[8]]=>[[1,3,8],[2,6],[4,7],[5]]
[[1,2,6,8],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7],[8]]=>[[1,3,7],[2,6],[4,8],[5]]
[[1,3,6,8],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7],[8]]=>[[1,3,6],[2,5],[4,8],[7]]
[[1,2,6,8],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7],[8]]=>[[1,3,7],[2,5],[4,8],[6]]
[[1,4,5,8],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7],[8]]=>[[1,4,8],[2,5],[3,7],[6]]
[[1,3,5,8],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7],[8]]=>[[1,4,8],[2,6],[3,7],[5]]
[[1,2,5,8],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7],[8]]=>[[1,4,7],[2,6],[3,8],[5]]
[[1,3,4,8],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7],[8]]=>[[1,5,8],[2,6],[3,7],[4]]
[[1,2,4,8],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7],[8]]=>[[1,5,7],[2,6],[3,8],[4]]
[[1,2,3,8],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7],[8]]=>[[1,5,6],[2,7],[3,8],[4]]
[[1,3,5,8],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7],[8]]=>[[1,4,6],[2,5],[3,8],[7]]
[[1,2,5,8],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7],[8]]=>[[1,4,7],[2,5],[3,8],[6]]
[[1,3,4,8],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7],[8]]=>[[1,4,5],[2,6],[3,8],[7]]
[[1,2,4,8],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7],[8]]=>[[1,4,5],[2,7],[3,8],[6]]
[[1,2,3,8],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7],[8]]=>[[1,4,6],[2,7],[3,8],[5]]
[[1,3,5,8],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6],[8]]=>[[1,3,4],[2,6],[5,8],[7]]
[[1,2,5,8],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6],[8]]=>[[1,3,4],[2,7],[5,8],[6]]
[[1,3,4,8],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6],[8]]=>[[1,3,5],[2,6],[4,8],[7]]
[[1,2,4,8],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6],[8]]=>[[1,3,5],[2,7],[4,8],[6]]
[[1,2,3,8],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6],[8]]=>[[1,3,6],[2,7],[4,8],[5]]
[[1,4,6,7],[2,5,8],[3]]=>[[1,2,3],[4,5],[6,8],[7]]=>[[1,2,8],[3,5],[4,7],[6]]
[[1,3,6,7],[2,5,8],[4]]=>[[1,2,4],[3,5],[6,8],[7]]=>[[1,2,8],[3,6],[4,7],[5]]
[[1,2,6,7],[3,5,8],[4]]=>[[1,3,4],[2,5],[6,8],[7]]=>[[1,2,7],[3,6],[4,8],[5]]
[[1,3,6,7],[2,4,8],[5]]=>[[1,2,5],[3,4],[6,8],[7]]=>[[1,2,6],[3,5],[4,8],[7]]
[[1,2,6,7],[3,4,8],[5]]=>[[1,3,5],[2,4],[6,8],[7]]=>[[1,2,7],[3,5],[4,8],[6]]
[[1,4,5,7],[2,6,8],[3]]=>[[1,2,3],[4,6],[5,8],[7]]=>[[1,2,8],[3,4],[5,7],[6]]
[[1,3,5,7],[2,6,8],[4]]=>[[1,2,4],[3,6],[5,8],[7]]=>[[1,2,8],[3,4],[5,6],[7]]
[[1,2,5,7],[3,6,8],[4]]=>[[1,3,4],[2,6],[5,8],[7]]=>[[1,2,7],[3,4],[5,6],[8]]
[[1,3,4,7],[2,6,8],[5]]=>[[1,2,5],[3,6],[4,8],[7]]=>[[1,2,8],[3,5],[4,6],[7]]
[[1,2,4,7],[3,6,8],[5]]=>[[1,3,5],[2,6],[4,8],[7]]=>[[1,2,7],[3,5],[4,6],[8]]
[[1,2,3,7],[4,6,8],[5]]=>[[1,4,5],[2,6],[3,8],[7]]=>[[1,2,6],[3,5],[4,7],[8]]
[[1,3,5,7],[2,4,8],[6]]=>[[1,2,6],[3,4],[5,8],[7]]=>[[1,2,6],[3,4],[5,8],[7]]
[[1,2,5,7],[3,4,8],[6]]=>[[1,3,6],[2,4],[5,8],[7]]=>[[1,2,7],[3,4],[5,8],[6]]
[[1,3,4,7],[2,5,8],[6]]=>[[1,2,6],[3,5],[4,8],[7]]=>[[1,2,5],[3,4],[6,8],[7]]
[[1,2,4,7],[3,5,8],[6]]=>[[1,3,6],[2,5],[4,8],[7]]=>[[1,2,5],[3,4],[6,7],[8]]
[[1,2,3,7],[4,5,8],[6]]=>[[1,4,6],[2,5],[3,8],[7]]=>[[1,2,6],[3,4],[5,7],[8]]
[[1,4,5,6],[2,7,8],[3]]=>[[1,2,3],[4,7],[5,8],[6]]=>[[1,3,8],[2,4],[5,7],[6]]
[[1,3,5,6],[2,7,8],[4]]=>[[1,2,4],[3,7],[5,8],[6]]=>[[1,3,8],[2,4],[5,6],[7]]
[[1,2,5,6],[3,7,8],[4]]=>[[1,3,4],[2,7],[5,8],[6]]=>[[1,3,7],[2,4],[5,6],[8]]
[[1,3,4,6],[2,7,8],[5]]=>[[1,2,5],[3,7],[4,8],[6]]=>[[1,3,8],[2,5],[4,6],[7]]
[[1,2,4,6],[3,7,8],[5]]=>[[1,3,5],[2,7],[4,8],[6]]=>[[1,3,7],[2,5],[4,6],[8]]
[[1,2,3,6],[4,7,8],[5]]=>[[1,4,5],[2,7],[3,8],[6]]=>[[1,3,6],[2,5],[4,7],[8]]
[[1,3,4,5],[2,7,8],[6]]=>[[1,2,6],[3,7],[4,8],[5]]=>[[1,4,8],[2,5],[3,6],[7]]
[[1,2,4,5],[3,7,8],[6]]=>[[1,3,6],[2,7],[4,8],[5]]=>[[1,4,7],[2,5],[3,6],[8]]
[[1,2,3,5],[4,7,8],[6]]=>[[1,4,6],[2,7],[3,8],[5]]=>[[1,4,6],[2,5],[3,7],[8]]
[[1,2,3,4],[5,7,8],[6]]=>[[1,5,6],[2,7],[3,8],[4]]=>[[1,4,5],[2,6],[3,7],[8]]
[[1,3,5,6],[2,4,8],[7]]=>[[1,2,7],[3,4],[5,8],[6]]=>[[1,3,6],[2,4],[5,8],[7]]
[[1,2,5,6],[3,4,8],[7]]=>[[1,3,7],[2,4],[5,8],[6]]=>[[1,3,7],[2,4],[5,8],[6]]
[[1,3,4,6],[2,5,8],[7]]=>[[1,2,7],[3,5],[4,8],[6]]=>[[1,3,5],[2,4],[6,8],[7]]
[[1,2,4,6],[3,5,8],[7]]=>[[1,3,7],[2,5],[4,8],[6]]=>[[1,3,5],[2,4],[6,7],[8]]
[[1,2,3,6],[4,5,8],[7]]=>[[1,4,7],[2,5],[3,8],[6]]=>[[1,3,6],[2,4],[5,7],[8]]
[[1,3,4,5],[2,6,8],[7]]=>[[1,2,7],[3,6],[4,8],[5]]=>[[1,3,4],[2,5],[6,8],[7]]
[[1,2,4,5],[3,6,8],[7]]=>[[1,3,7],[2,6],[4,8],[5]]=>[[1,3,4],[2,5],[6,7],[8]]
[[1,2,3,5],[4,6,8],[7]]=>[[1,4,7],[2,6],[3,8],[5]]=>[[1,3,4],[2,6],[5,7],[8]]
[[1,2,3,4],[5,6,8],[7]]=>[[1,5,7],[2,6],[3,8],[4]]=>[[1,3,5],[2,6],[4,7],[8]]
[[1,3,5,7],[2,4,6],[8]]=>[[1,2,8],[3,4],[5,6],[7]]=>[[1,2,4],[3,6],[5,8],[7]]
[[1,2,5,7],[3,4,6],[8]]=>[[1,3,8],[2,4],[5,6],[7]]=>[[1,2,4],[3,7],[5,8],[6]]
[[1,3,4,7],[2,5,6],[8]]=>[[1,2,8],[3,5],[4,6],[7]]=>[[1,2,5],[3,6],[4,8],[7]]
[[1,2,4,7],[3,5,6],[8]]=>[[1,3,8],[2,5],[4,6],[7]]=>[[1,2,5],[3,7],[4,8],[6]]
[[1,2,3,7],[4,5,6],[8]]=>[[1,4,8],[2,5],[3,6],[7]]=>[[1,2,6],[3,7],[4,8],[5]]
[[1,3,5,6],[2,4,7],[8]]=>[[1,2,8],[3,4],[5,7],[6]]=>[[1,2,3],[4,6],[5,8],[7]]
[[1,2,5,6],[3,4,7],[8]]=>[[1,3,8],[2,4],[5,7],[6]]=>[[1,2,3],[4,7],[5,8],[6]]
[[1,3,4,6],[2,5,7],[8]]=>[[1,2,8],[3,5],[4,7],[6]]=>[[1,2,3],[4,5],[6,8],[7]]
[[1,2,4,6],[3,5,7],[8]]=>[[1,3,8],[2,5],[4,7],[6]]=>[[1,2,3],[4,5],[6,7],[8]]
[[1,2,3,6],[4,5,7],[8]]=>[[1,4,8],[2,5],[3,7],[6]]=>[[1,2,3],[4,6],[5,7],[8]]
[[1,3,4,5],[2,6,7],[8]]=>[[1,2,8],[3,6],[4,7],[5]]=>[[1,2,4],[3,5],[6,8],[7]]
[[1,2,4,5],[3,6,7],[8]]=>[[1,3,8],[2,6],[4,7],[5]]=>[[1,2,4],[3,5],[6,7],[8]]
[[1,2,3,5],[4,6,7],[8]]=>[[1,4,8],[2,6],[3,7],[5]]=>[[1,2,4],[3,6],[5,7],[8]]
[[1,2,3,4],[5,6,7],[8]]=>[[1,5,8],[2,6],[3,7],[4]]=>[[1,2,5],[3,6],[4,7],[8]]
[[1,4,7,8],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7],[8]]=>[[1,4,5],[2,7,8],[3],[6]]
[[1,3,7,8],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7],[8]]=>[[1,4,6],[2,7,8],[3],[5]]
[[1,2,7,8],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7],[8]]=>[[1,4,7],[2,6,8],[3],[5]]
[[1,3,7,8],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7],[8]]=>[[1,5,6],[2,7,8],[3],[4]]
[[1,2,7,8],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7],[8]]=>[[1,5,7],[2,6,8],[3],[4]]
[[1,4,6,8],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6],[8]]=>[[1,3,5],[2,7,8],[4],[6]]
[[1,3,6,8],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6],[8]]=>[[1,3,6],[2,7,8],[4],[5]]
[[1,2,6,8],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6],[8]]=>[[1,3,7],[2,6,8],[4],[5]]
[[1,3,6,8],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6],[8]]=>[[1,3,6],[2,5,8],[4],[7]]
[[1,2,6,8],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6],[8]]=>[[1,3,7],[2,5,8],[4],[6]]
[[1,4,5,8],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5],[8]]=>[[1,3,4],[2,7,8],[5],[6]]
[[1,3,5,8],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5],[8]]=>[[1,3,4],[2,6,8],[5],[7]]
[[1,2,5,8],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5],[8]]=>[[1,3,4],[2,6,7],[5],[8]]
[[1,3,4,8],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4],[8]]=>[[1,3,5],[2,6,8],[4],[7]]
[[1,2,4,8],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4],[8]]=>[[1,3,5],[2,6,7],[4],[8]]
[[1,2,3,8],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3],[8]]=>[[1,3,6],[2,5,7],[4],[8]]
[[1,3,5,8],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5],[8]]=>[[1,4,6],[2,5,8],[3],[7]]
[[1,2,5,8],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5],[8]]=>[[1,4,7],[2,5,8],[3],[6]]
[[1,3,4,8],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4],[8]]=>[[1,4,5],[2,6,8],[3],[7]]
[[1,2,4,8],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4],[8]]=>[[1,4,5],[2,6,7],[3],[8]]
[[1,2,3,8],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3],[8]]=>[[1,4,6],[2,5,7],[3],[8]]
[[1,4,6,7],[2,5],[3,8]]=>[[1,2,3],[4,5,8],[6],[7]]=>[[1,2,5],[3,7,8],[4],[6]]
[[1,3,6,7],[2,5],[4,8]]=>[[1,2,4],[3,5,8],[6],[7]]=>[[1,2,6],[3,7,8],[4],[5]]
[[1,2,6,7],[3,5],[4,8]]=>[[1,3,4],[2,5,8],[6],[7]]=>[[1,2,7],[3,6,8],[4],[5]]
[[1,3,6,7],[2,4],[5,8]]=>[[1,2,5],[3,4,8],[6],[7]]=>[[1,2,6],[3,5,8],[4],[7]]
[[1,2,6,7],[3,4],[5,8]]=>[[1,3,5],[2,4,8],[6],[7]]=>[[1,2,7],[3,5,8],[4],[6]]
[[1,4,5,7],[2,6],[3,8]]=>[[1,2,3],[4,6,8],[5],[7]]=>[[1,2,4],[3,7,8],[5],[6]]
[[1,3,5,7],[2,6],[4,8]]=>[[1,2,4],[3,6,8],[5],[7]]=>[[1,2,4],[3,6,8],[5],[7]]
[[1,2,5,7],[3,6],[4,8]]=>[[1,3,4],[2,6,8],[5],[7]]=>[[1,2,4],[3,6,7],[5],[8]]
[[1,3,4,7],[2,6],[5,8]]=>[[1,2,5],[3,6,8],[4],[7]]=>[[1,2,5],[3,6,8],[4],[7]]
[[1,2,4,7],[3,6],[5,8]]=>[[1,3,5],[2,6,8],[4],[7]]=>[[1,2,5],[3,6,7],[4],[8]]
[[1,2,3,7],[4,6],[5,8]]=>[[1,4,5],[2,6,8],[3],[7]]=>[[1,2,6],[3,5,7],[4],[8]]
[[1,3,5,7],[2,4],[6,8]]=>[[1,2,6],[3,4,8],[5],[7]]=>[[1,2,6],[3,4,8],[5],[7]]
[[1,2,5,7],[3,4],[6,8]]=>[[1,3,6],[2,4,8],[5],[7]]=>[[1,2,7],[3,4,8],[5],[6]]
[[1,3,4,7],[2,5],[6,8]]=>[[1,2,6],[3,5,8],[4],[7]]=>[[1,2,5],[3,4,8],[6],[7]]
[[1,2,4,7],[3,5],[6,8]]=>[[1,3,6],[2,5,8],[4],[7]]=>[[1,2,5],[3,4,7],[6],[8]]
[[1,2,3,7],[4,5],[6,8]]=>[[1,4,6],[2,5,8],[3],[7]]=>[[1,2,6],[3,4,7],[5],[8]]
[[1,4,5,6],[2,7],[3,8]]=>[[1,2,3],[4,7,8],[5],[6]]=>[[1,2,3],[4,7,8],[5],[6]]
[[1,3,5,6],[2,7],[4,8]]=>[[1,2,4],[3,7,8],[5],[6]]=>[[1,2,3],[4,6,8],[5],[7]]
[[1,2,5,6],[3,7],[4,8]]=>[[1,3,4],[2,7,8],[5],[6]]=>[[1,2,3],[4,6,7],[5],[8]]
[[1,3,4,6],[2,7],[5,8]]=>[[1,2,5],[3,7,8],[4],[6]]=>[[1,2,3],[4,5,8],[6],[7]]
[[1,2,4,6],[3,7],[5,8]]=>[[1,3,5],[2,7,8],[4],[6]]=>[[1,2,3],[4,5,7],[6],[8]]
[[1,2,3,6],[4,7],[5,8]]=>[[1,4,5],[2,7,8],[3],[6]]=>[[1,2,3],[4,5,6],[7],[8]]
[[1,3,4,5],[2,7],[6,8]]=>[[1,2,6],[3,7,8],[4],[5]]=>[[1,2,4],[3,5,8],[6],[7]]
[[1,2,4,5],[3,7],[6,8]]=>[[1,3,6],[2,7,8],[4],[5]]=>[[1,2,4],[3,5,7],[6],[8]]
[[1,2,3,5],[4,7],[6,8]]=>[[1,4,6],[2,7,8],[3],[5]]=>[[1,2,4],[3,5,6],[7],[8]]
[[1,2,3,4],[5,7],[6,8]]=>[[1,5,6],[2,7,8],[3],[4]]=>[[1,2,5],[3,4,6],[7],[8]]
[[1,3,5,6],[2,4],[7,8]]=>[[1,2,7],[3,4,8],[5],[6]]=>[[1,3,6],[2,4,8],[5],[7]]
[[1,2,5,6],[3,4],[7,8]]=>[[1,3,7],[2,4,8],[5],[6]]=>[[1,3,7],[2,4,8],[5],[6]]
[[1,3,4,6],[2,5],[7,8]]=>[[1,2,7],[3,5,8],[4],[6]]=>[[1,3,5],[2,4,8],[6],[7]]
[[1,2,4,6],[3,5],[7,8]]=>[[1,3,7],[2,5,8],[4],[6]]=>[[1,3,5],[2,4,7],[6],[8]]
[[1,2,3,6],[4,5],[7,8]]=>[[1,4,7],[2,5,8],[3],[6]]=>[[1,3,6],[2,4,7],[5],[8]]
[[1,3,4,5],[2,6],[7,8]]=>[[1,2,7],[3,6,8],[4],[5]]=>[[1,3,4],[2,5,8],[6],[7]]
[[1,2,4,5],[3,6],[7,8]]=>[[1,3,7],[2,6,8],[4],[5]]=>[[1,3,4],[2,5,7],[6],[8]]
[[1,2,3,5],[4,6],[7,8]]=>[[1,4,7],[2,6,8],[3],[5]]=>[[1,3,4],[2,5,6],[7],[8]]
[[1,2,3,4],[5,6],[7,8]]=>[[1,5,7],[2,6,8],[3],[4]]=>[[1,3,5],[2,4,6],[7],[8]]
[[1,5,7,8],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7],[8]]=>[[1,4,7,8],[2,6],[3],[5]]
[[1,4,7,8],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7],[8]]=>[[1,5,7,8],[2,6],[3],[4]]
[[1,3,7,8],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7],[8]]=>[[1,5,6,8],[2,7],[3],[4]]
[[1,2,7,8],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7],[8]]=>[[1,5,6,7],[2,8],[3],[4]]
[[1,4,7,8],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7],[8]]=>[[1,4,5,8],[2,7],[3],[6]]
[[1,3,7,8],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7],[8]]=>[[1,4,6,8],[2,7],[3],[5]]
[[1,2,7,8],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7],[8]]=>[[1,4,6,7],[2,8],[3],[5]]
[[1,3,7,8],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7],[8]]=>[[1,4,5,6],[2,8],[3],[7]]
[[1,2,7,8],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7],[8]]=>[[1,4,5,7],[2,8],[3],[6]]
[[1,5,6,8],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6],[8]]=>[[1,3,7,8],[2,6],[4],[5]]
[[1,4,6,8],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6],[8]]=>[[1,3,7,8],[2,5],[4],[6]]
[[1,3,6,8],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6],[8]]=>[[1,3,6,8],[2,5],[4],[7]]
[[1,2,6,8],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6],[8]]=>[[1,3,6,7],[2,5],[4],[8]]
[[1,4,5,8],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5],[8]]=>[[1,4,7,8],[2,5],[3],[6]]
[[1,3,5,8],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5],[8]]=>[[1,4,6,8],[2,5],[3],[7]]
[[1,2,5,8],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5],[8]]=>[[1,4,6,7],[2,5],[3],[8]]
[[1,3,4,8],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4],[8]]=>[[1,4,5,8],[2,6],[3],[7]]
[[1,2,4,8],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4],[8]]=>[[1,4,5,7],[2,6],[3],[8]]
[[1,2,3,8],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3],[8]]=>[[1,4,5,6],[2,7],[3],[8]]
[[1,4,6,8],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6],[8]]=>[[1,3,5,8],[2,7],[4],[6]]
[[1,3,6,8],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6],[8]]=>[[1,3,6,8],[2,7],[4],[5]]
[[1,2,6,8],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6],[8]]=>[[1,3,6,7],[2,8],[4],[5]]
[[1,3,6,8],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6],[8]]=>[[1,3,5,6],[2,8],[4],[7]]
[[1,2,6,8],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6],[8]]=>[[1,3,5,7],[2,8],[4],[6]]
[[1,4,5,8],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5],[8]]=>[[1,3,4,8],[2,7],[5],[6]]
[[1,3,5,8],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5],[8]]=>[[1,3,4,8],[2,6],[5],[7]]
[[1,2,5,8],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5],[8]]=>[[1,3,4,7],[2,6],[5],[8]]
[[1,3,4,8],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4],[8]]=>[[1,3,5,8],[2,6],[4],[7]]
[[1,2,4,8],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4],[8]]=>[[1,3,5,7],[2,6],[4],[8]]
[[1,2,3,8],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3],[8]]=>[[1,3,5,6],[2,7],[4],[8]]
[[1,3,5,8],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5],[8]]=>[[1,3,4,6],[2,8],[5],[7]]
[[1,2,5,8],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5],[8]]=>[[1,3,4,7],[2,8],[5],[6]]
[[1,3,4,8],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4],[8]]=>[[1,3,4,5],[2,8],[6],[7]]
[[1,2,4,8],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4],[8]]=>[[1,3,4,5],[2,7],[6],[8]]
[[1,2,3,8],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3],[8]]=>[[1,3,4,6],[2,7],[5],[8]]
[[1,5,6,7],[2,8],[3],[4]]=>[[1,2,3,4],[5,8],[6],[7]]=>[[1,2,7,8],[3,6],[4],[5]]
[[1,4,6,7],[2,8],[3],[5]]=>[[1,2,3,5],[4,8],[6],[7]]=>[[1,2,7,8],[3,5],[4],[6]]
[[1,3,6,7],[2,8],[4],[5]]=>[[1,2,4,5],[3,8],[6],[7]]=>[[1,2,6,8],[3,5],[4],[7]]
[[1,2,6,7],[3,8],[4],[5]]=>[[1,3,4,5],[2,8],[6],[7]]=>[[1,2,6,7],[3,5],[4],[8]]
[[1,4,5,7],[2,8],[3],[6]]=>[[1,2,3,6],[4,8],[5],[7]]=>[[1,2,7,8],[3,4],[5],[6]]
[[1,3,5,7],[2,8],[4],[6]]=>[[1,2,4,6],[3,8],[5],[7]]=>[[1,2,6,8],[3,4],[5],[7]]
[[1,2,5,7],[3,8],[4],[6]]=>[[1,3,4,6],[2,8],[5],[7]]=>[[1,2,6,7],[3,4],[5],[8]]
[[1,3,4,7],[2,8],[5],[6]]=>[[1,2,5,6],[3,8],[4],[7]]=>[[1,2,5,8],[3,4],[6],[7]]
[[1,2,4,7],[3,8],[5],[6]]=>[[1,3,5,6],[2,8],[4],[7]]=>[[1,2,5,7],[3,4],[6],[8]]
[[1,2,3,7],[4,8],[5],[6]]=>[[1,4,5,6],[2,8],[3],[7]]=>[[1,2,5,6],[3,4],[7],[8]]
[[1,4,5,6],[2,8],[3],[7]]=>[[1,2,3,7],[4,8],[5],[6]]=>[[1,3,7,8],[2,4],[5],[6]]
[[1,3,5,6],[2,8],[4],[7]]=>[[1,2,4,7],[3,8],[5],[6]]=>[[1,3,6,8],[2,4],[5],[7]]
[[1,2,5,6],[3,8],[4],[7]]=>[[1,3,4,7],[2,8],[5],[6]]=>[[1,3,6,7],[2,4],[5],[8]]
[[1,3,4,6],[2,8],[5],[7]]=>[[1,2,5,7],[3,8],[4],[6]]=>[[1,3,5,8],[2,4],[6],[7]]
[[1,2,4,6],[3,8],[5],[7]]=>[[1,3,5,7],[2,8],[4],[6]]=>[[1,3,5,7],[2,4],[6],[8]]
[[1,2,3,6],[4,8],[5],[7]]=>[[1,4,5,7],[2,8],[3],[6]]=>[[1,3,5,6],[2,4],[7],[8]]
[[1,3,4,5],[2,8],[6],[7]]=>[[1,2,6,7],[3,8],[4],[5]]=>[[1,3,4,8],[2,5],[6],[7]]
[[1,2,4,5],[3,8],[6],[7]]=>[[1,3,6,7],[2,8],[4],[5]]=>[[1,3,4,7],[2,5],[6],[8]]
[[1,2,3,5],[4,8],[6],[7]]=>[[1,4,6,7],[2,8],[3],[5]]=>[[1,3,4,6],[2,5],[7],[8]]
[[1,2,3,4],[5,8],[6],[7]]=>[[1,5,6,7],[2,8],[3],[4]]=>[[1,3,4,5],[2,6],[7],[8]]
[[1,4,6,7],[2,5],[3],[8]]=>[[1,2,3,8],[4,5],[6],[7]]=>[[1,2,5,8],[3,7],[4],[6]]
[[1,3,6,7],[2,5],[4],[8]]=>[[1,2,4,8],[3,5],[6],[7]]=>[[1,2,6,8],[3,7],[4],[5]]
[[1,2,6,7],[3,5],[4],[8]]=>[[1,3,4,8],[2,5],[6],[7]]=>[[1,2,6,7],[3,8],[4],[5]]
[[1,3,6,7],[2,4],[5],[8]]=>[[1,2,5,8],[3,4],[6],[7]]=>[[1,2,5,6],[3,8],[4],[7]]
[[1,2,6,7],[3,4],[5],[8]]=>[[1,3,5,8],[2,4],[6],[7]]=>[[1,2,5,7],[3,8],[4],[6]]
[[1,4,5,7],[2,6],[3],[8]]=>[[1,2,3,8],[4,6],[5],[7]]=>[[1,2,4,8],[3,7],[5],[6]]
[[1,3,5,7],[2,6],[4],[8]]=>[[1,2,4,8],[3,6],[5],[7]]=>[[1,2,4,8],[3,6],[5],[7]]
[[1,2,5,7],[3,6],[4],[8]]=>[[1,3,4,8],[2,6],[5],[7]]=>[[1,2,4,7],[3,6],[5],[8]]
[[1,3,4,7],[2,6],[5],[8]]=>[[1,2,5,8],[3,6],[4],[7]]=>[[1,2,5,8],[3,6],[4],[7]]
[[1,2,4,7],[3,6],[5],[8]]=>[[1,3,5,8],[2,6],[4],[7]]=>[[1,2,5,7],[3,6],[4],[8]]
[[1,2,3,7],[4,6],[5],[8]]=>[[1,4,5,8],[2,6],[3],[7]]=>[[1,2,5,6],[3,7],[4],[8]]
[[1,3,5,7],[2,4],[6],[8]]=>[[1,2,6,8],[3,4],[5],[7]]=>[[1,2,4,6],[3,8],[5],[7]]
[[1,2,5,7],[3,4],[6],[8]]=>[[1,3,6,8],[2,4],[5],[7]]=>[[1,2,4,7],[3,8],[5],[6]]
[[1,3,4,7],[2,5],[6],[8]]=>[[1,2,6,8],[3,5],[4],[7]]=>[[1,2,4,5],[3,8],[6],[7]]
[[1,2,4,7],[3,5],[6],[8]]=>[[1,3,6,8],[2,5],[4],[7]]=>[[1,2,4,5],[3,7],[6],[8]]
[[1,2,3,7],[4,5],[6],[8]]=>[[1,4,6,8],[2,5],[3],[7]]=>[[1,2,4,6],[3,7],[5],[8]]
[[1,4,5,6],[2,7],[3],[8]]=>[[1,2,3,8],[4,7],[5],[6]]=>[[1,2,3,8],[4,7],[5],[6]]
[[1,3,5,6],[2,7],[4],[8]]=>[[1,2,4,8],[3,7],[5],[6]]=>[[1,2,3,8],[4,6],[5],[7]]
[[1,2,5,6],[3,7],[4],[8]]=>[[1,3,4,8],[2,7],[5],[6]]=>[[1,2,3,7],[4,6],[5],[8]]
[[1,3,4,6],[2,7],[5],[8]]=>[[1,2,5,8],[3,7],[4],[6]]=>[[1,2,3,8],[4,5],[6],[7]]
[[1,2,4,6],[3,7],[5],[8]]=>[[1,3,5,8],[2,7],[4],[6]]=>[[1,2,3,7],[4,5],[6],[8]]
[[1,2,3,6],[4,7],[5],[8]]=>[[1,4,5,8],[2,7],[3],[6]]=>[[1,2,3,6],[4,5],[7],[8]]
[[1,3,4,5],[2,7],[6],[8]]=>[[1,2,6,8],[3,7],[4],[5]]=>[[1,2,4,8],[3,5],[6],[7]]
[[1,2,4,5],[3,7],[6],[8]]=>[[1,3,6,8],[2,7],[4],[5]]=>[[1,2,4,7],[3,5],[6],[8]]
[[1,2,3,5],[4,7],[6],[8]]=>[[1,4,6,8],[2,7],[3],[5]]=>[[1,2,4,6],[3,5],[7],[8]]
[[1,2,3,4],[5,7],[6],[8]]=>[[1,5,6,8],[2,7],[3],[4]]=>[[1,2,4,5],[3,6],[7],[8]]
[[1,3,5,6],[2,4],[7],[8]]=>[[1,2,7,8],[3,4],[5],[6]]=>[[1,2,3,6],[4,8],[5],[7]]
[[1,2,5,6],[3,4],[7],[8]]=>[[1,3,7,8],[2,4],[5],[6]]=>[[1,2,3,7],[4,8],[5],[6]]
[[1,3,4,6],[2,5],[7],[8]]=>[[1,2,7,8],[3,5],[4],[6]]=>[[1,2,3,5],[4,8],[6],[7]]
[[1,2,4,6],[3,5],[7],[8]]=>[[1,3,7,8],[2,5],[4],[6]]=>[[1,2,3,5],[4,7],[6],[8]]
[[1,2,3,6],[4,5],[7],[8]]=>[[1,4,7,8],[2,5],[3],[6]]=>[[1,2,3,6],[4,7],[5],[8]]
[[1,3,4,5],[2,6],[7],[8]]=>[[1,2,7,8],[3,6],[4],[5]]=>[[1,2,3,4],[5,8],[6],[7]]
[[1,2,4,5],[3,6],[7],[8]]=>[[1,3,7,8],[2,6],[4],[5]]=>[[1,2,3,4],[5,7],[6],[8]]
[[1,2,3,5],[4,6],[7],[8]]=>[[1,4,7,8],[2,6],[3],[5]]=>[[1,2,3,4],[5,6],[7],[8]]
[[1,2,3,4],[5,6],[7],[8]]=>[[1,5,7,8],[2,6],[3],[4]]=>[[1,2,3,5],[4,6],[7],[8]]
[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7],[8]]=>[[1,5,6,7,8],[2],[3],[4]]
[[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7],[8]]=>[[1,4,6,7,8],[2],[3],[5]]
[[1,4,7,8],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7],[8]]=>[[1,4,5,7,8],[2],[3],[6]]
[[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7],[8]]=>[[1,4,5,6,8],[2],[3],[7]]
[[1,2,7,8],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7],[8]]=>[[1,4,5,6,7],[2],[3],[8]]
[[1,5,6,8],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6],[8]]=>[[1,3,6,7,8],[2],[4],[5]]
[[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6],[8]]=>[[1,3,5,7,8],[2],[4],[6]]
[[1,3,6,8],[2],[4],[5],[7]]=>[[1,2,4,5,7],[3],[6],[8]]=>[[1,3,5,6,8],[2],[4],[7]]
[[1,2,6,8],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6],[8]]=>[[1,3,5,6,7],[2],[4],[8]]
[[1,4,5,8],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5],[8]]=>[[1,3,4,7,8],[2],[5],[6]]
[[1,3,5,8],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5],[8]]=>[[1,3,4,6,8],[2],[5],[7]]
[[1,2,5,8],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5],[8]]=>[[1,3,4,6,7],[2],[5],[8]]
[[1,3,4,8],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4],[8]]=>[[1,3,4,5,8],[2],[6],[7]]
[[1,2,4,8],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4],[8]]=>[[1,3,4,5,7],[2],[6],[8]]
[[1,2,3,8],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3],[8]]=>[[1,3,4,5,6],[2],[7],[8]]
[[1,5,6,7],[2],[3],[4],[8]]=>[[1,2,3,4,8],[5],[6],[7]]=>[[1,2,6,7,8],[3],[4],[5]]
[[1,4,6,7],[2],[3],[5],[8]]=>[[1,2,3,5,8],[4],[6],[7]]=>[[1,2,5,7,8],[3],[4],[6]]
[[1,3,6,7],[2],[4],[5],[8]]=>[[1,2,4,5,8],[3],[6],[7]]=>[[1,2,5,6,8],[3],[4],[7]]
[[1,2,6,7],[3],[4],[5],[8]]=>[[1,3,4,5,8],[2],[6],[7]]=>[[1,2,5,6,7],[3],[4],[8]]
[[1,4,5,7],[2],[3],[6],[8]]=>[[1,2,3,6,8],[4],[5],[7]]=>[[1,2,4,7,8],[3],[5],[6]]
[[1,3,5,7],[2],[4],[6],[8]]=>[[1,2,4,6,8],[3],[5],[7]]=>[[1,2,4,6,8],[3],[5],[7]]
[[1,2,5,7],[3],[4],[6],[8]]=>[[1,3,4,6,8],[2],[5],[7]]=>[[1,2,4,6,7],[3],[5],[8]]
[[1,3,4,7],[2],[5],[6],[8]]=>[[1,2,5,6,8],[3],[4],[7]]=>[[1,2,4,5,8],[3],[6],[7]]
[[1,2,4,7],[3],[5],[6],[8]]=>[[1,3,5,6,8],[2],[4],[7]]=>[[1,2,4,5,7],[3],[6],[8]]
[[1,2,3,7],[4],[5],[6],[8]]=>[[1,4,5,6,8],[2],[3],[7]]=>[[1,2,4,5,6],[3],[7],[8]]
[[1,4,5,6],[2],[3],[7],[8]]=>[[1,2,3,7,8],[4],[5],[6]]=>[[1,2,3,7,8],[4],[5],[6]]
[[1,3,5,6],[2],[4],[7],[8]]=>[[1,2,4,7,8],[3],[5],[6]]=>[[1,2,3,6,8],[4],[5],[7]]
[[1,2,5,6],[3],[4],[7],[8]]=>[[1,3,4,7,8],[2],[5],[6]]=>[[1,2,3,6,7],[4],[5],[8]]
[[1,3,4,6],[2],[5],[7],[8]]=>[[1,2,5,7,8],[3],[4],[6]]=>[[1,2,3,5,8],[4],[6],[7]]
[[1,2,4,6],[3],[5],[7],[8]]=>[[1,3,5,7,8],[2],[4],[6]]=>[[1,2,3,5,7],[4],[6],[8]]
[[1,2,3,6],[4],[5],[7],[8]]=>[[1,4,5,7,8],[2],[3],[6]]=>[[1,2,3,5,6],[4],[7],[8]]
[[1,3,4,5],[2],[6],[7],[8]]=>[[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,4,8],[5],[6],[7]]
[[1,2,4,5],[3],[6],[7],[8]]=>[[1,3,6,7,8],[2],[4],[5]]=>[[1,2,3,4,7],[5],[6],[8]]
[[1,2,3,5],[4],[6],[7],[8]]=>[[1,4,6,7,8],[2],[3],[5]]=>[[1,2,3,4,6],[5],[7],[8]]
[[1,2,3,4],[5],[6],[7],[8]]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4,5],[6],[7],[8]]
[[1,4,7],[2,5,8],[3,6]]=>[[1,2,3],[4,5,6],[7,8]]=>[[1,2,5],[3,4,8],[6,7]]
[[1,3,7],[2,5,8],[4,6]]=>[[1,2,4],[3,5,6],[7,8]]=>[[1,2,6],[3,4,8],[5,7]]
[[1,2,7],[3,5,8],[4,6]]=>[[1,3,4],[2,5,6],[7,8]]=>[[1,2,7],[3,4,8],[5,6]]
[[1,3,7],[2,4,8],[5,6]]=>[[1,2,5],[3,4,6],[7,8]]=>[[1,2,6],[3,5,8],[4,7]]
[[1,2,7],[3,4,8],[5,6]]=>[[1,3,5],[2,4,6],[7,8]]=>[[1,2,7],[3,5,8],[4,6]]
[[1,4,6],[2,5,8],[3,7]]=>[[1,2,3],[4,5,7],[6,8]]=>[[1,3,5],[2,4,8],[6,7]]
[[1,3,6],[2,5,8],[4,7]]=>[[1,2,4],[3,5,7],[6,8]]=>[[1,3,6],[2,4,8],[5,7]]
[[1,2,6],[3,5,8],[4,7]]=>[[1,3,4],[2,5,7],[6,8]]=>[[1,3,7],[2,4,8],[5,6]]
[[1,3,6],[2,4,8],[5,7]]=>[[1,2,5],[3,4,7],[6,8]]=>[[1,3,6],[2,5,8],[4,7]]
[[1,2,6],[3,4,8],[5,7]]=>[[1,3,5],[2,4,7],[6,8]]=>[[1,3,7],[2,5,8],[4,6]]
[[1,4,5],[2,6,8],[3,7]]=>[[1,2,3],[4,6,7],[5,8]]=>[[1,3,4],[2,5,8],[6,7]]
[[1,3,5],[2,6,8],[4,7]]=>[[1,2,4],[3,6,7],[5,8]]=>[[1,3,4],[2,6,8],[5,7]]
[[1,2,5],[3,6,8],[4,7]]=>[[1,3,4],[2,6,7],[5,8]]=>[[1,3,4],[2,6,7],[5,8]]
[[1,3,4],[2,6,8],[5,7]]=>[[1,2,5],[3,6,7],[4,8]]=>[[1,3,5],[2,6,8],[4,7]]
[[1,2,4],[3,6,8],[5,7]]=>[[1,3,5],[2,6,7],[4,8]]=>[[1,3,5],[2,6,7],[4,8]]
[[1,2,3],[4,6,8],[5,7]]=>[[1,4,5],[2,6,7],[3,8]]=>[[1,3,6],[2,5,7],[4,8]]
[[1,3,5],[2,4,8],[6,7]]=>[[1,2,6],[3,4,7],[5,8]]=>[[1,4,6],[2,5,8],[3,7]]
[[1,2,5],[3,4,8],[6,7]]=>[[1,3,6],[2,4,7],[5,8]]=>[[1,4,7],[2,5,8],[3,6]]
[[1,3,4],[2,5,8],[6,7]]=>[[1,2,6],[3,5,7],[4,8]]=>[[1,4,5],[2,6,8],[3,7]]
[[1,2,4],[3,5,8],[6,7]]=>[[1,3,6],[2,5,7],[4,8]]=>[[1,4,5],[2,6,7],[3,8]]
[[1,2,3],[4,5,8],[6,7]]=>[[1,4,6],[2,5,7],[3,8]]=>[[1,4,6],[2,5,7],[3,8]]
[[1,4,6],[2,5,7],[3,8]]=>[[1,2,3],[4,5,8],[6,7]]=>[[1,2,3],[4,5,8],[6,7]]
[[1,3,6],[2,5,7],[4,8]]=>[[1,2,4],[3,5,8],[6,7]]=>[[1,2,3],[4,6,8],[5,7]]
[[1,2,6],[3,5,7],[4,8]]=>[[1,3,4],[2,5,8],[6,7]]=>[[1,2,3],[4,6,7],[5,8]]
[[1,3,6],[2,4,7],[5,8]]=>[[1,2,5],[3,4,8],[6,7]]=>[[1,2,3],[4,5,6],[7,8]]
[[1,2,6],[3,4,7],[5,8]]=>[[1,3,5],[2,4,8],[6,7]]=>[[1,2,3],[4,5,7],[6,8]]
[[1,4,5],[2,6,7],[3,8]]=>[[1,2,3],[4,6,8],[5,7]]=>[[1,2,4],[3,5,8],[6,7]]
[[1,3,5],[2,6,7],[4,8]]=>[[1,2,4],[3,6,8],[5,7]]=>[[1,2,4],[3,6,8],[5,7]]
[[1,2,5],[3,6,7],[4,8]]=>[[1,3,4],[2,6,8],[5,7]]=>[[1,2,4],[3,6,7],[5,8]]
[[1,3,4],[2,6,7],[5,8]]=>[[1,2,5],[3,6,8],[4,7]]=>[[1,2,5],[3,6,8],[4,7]]
[[1,2,4],[3,6,7],[5,8]]=>[[1,3,5],[2,6,8],[4,7]]=>[[1,2,5],[3,6,7],[4,8]]
[[1,2,3],[4,6,7],[5,8]]=>[[1,4,5],[2,6,8],[3,7]]=>[[1,2,6],[3,5,7],[4,8]]
[[1,3,5],[2,4,7],[6,8]]=>[[1,2,6],[3,4,8],[5,7]]=>[[1,2,4],[3,5,6],[7,8]]
[[1,2,5],[3,4,7],[6,8]]=>[[1,3,6],[2,4,8],[5,7]]=>[[1,2,4],[3,5,7],[6,8]]
[[1,3,4],[2,5,7],[6,8]]=>[[1,2,6],[3,5,8],[4,7]]=>[[1,2,5],[3,4,6],[7,8]]
[[1,2,4],[3,5,7],[6,8]]=>[[1,3,6],[2,5,8],[4,7]]=>[[1,2,5],[3,4,7],[6,8]]
[[1,2,3],[4,5,7],[6,8]]=>[[1,4,6],[2,5,8],[3,7]]=>[[1,2,6],[3,4,7],[5,8]]
[[1,3,5],[2,4,6],[7,8]]=>[[1,2,7],[3,4,8],[5,6]]=>[[1,3,4],[2,5,6],[7,8]]
[[1,2,5],[3,4,6],[7,8]]=>[[1,3,7],[2,4,8],[5,6]]=>[[1,3,4],[2,5,7],[6,8]]
[[1,3,4],[2,5,6],[7,8]]=>[[1,2,7],[3,5,8],[4,6]]=>[[1,3,5],[2,4,6],[7,8]]
[[1,2,4],[3,5,6],[7,8]]=>[[1,3,7],[2,5,8],[4,6]]=>[[1,3,5],[2,4,7],[6,8]]
[[1,2,3],[4,5,6],[7,8]]=>[[1,4,7],[2,5,8],[3,6]]=>[[1,3,6],[2,4,7],[5,8]]
[[1,5,7],[2,6,8],[3],[4]]=>[[1,2,3,4],[5,6],[7,8]]=>[[1,2,7,8],[3,4],[5,6]]
[[1,4,7],[2,6,8],[3],[5]]=>[[1,2,3,5],[4,6],[7,8]]=>[[1,2,7,8],[3,5],[4,6]]
[[1,3,7],[2,6,8],[4],[5]]=>[[1,2,4,5],[3,6],[7,8]]=>[[1,2,6,8],[3,5],[4,7]]
[[1,2,7],[3,6,8],[4],[5]]=>[[1,3,4,5],[2,6],[7,8]]=>[[1,2,6,7],[3,5],[4,8]]
[[1,4,7],[2,5,8],[3],[6]]=>[[1,2,3,6],[4,5],[7,8]]=>[[1,2,5,8],[3,4],[6,7]]
[[1,3,7],[2,5,8],[4],[6]]=>[[1,2,4,6],[3,5],[7,8]]=>[[1,2,6,8],[3,4],[5,7]]
[[1,2,7],[3,5,8],[4],[6]]=>[[1,3,4,6],[2,5],[7,8]]=>[[1,2,6,7],[3,4],[5,8]]
[[1,3,7],[2,4,8],[5],[6]]=>[[1,2,5,6],[3,4],[7,8]]=>[[1,2,5,6],[3,4],[7,8]]
[[1,2,7],[3,4,8],[5],[6]]=>[[1,3,5,6],[2,4],[7,8]]=>[[1,2,5,7],[3,4],[6,8]]
[[1,5,6],[2,7,8],[3],[4]]=>[[1,2,3,4],[5,7],[6,8]]=>[[1,3,7,8],[2,4],[5,6]]
[[1,4,6],[2,7,8],[3],[5]]=>[[1,2,3,5],[4,7],[6,8]]=>[[1,3,7,8],[2,5],[4,6]]
[[1,3,6],[2,7,8],[4],[5]]=>[[1,2,4,5],[3,7],[6,8]]=>[[1,3,6,8],[2,5],[4,7]]
[[1,2,6],[3,7,8],[4],[5]]=>[[1,3,4,5],[2,7],[6,8]]=>[[1,3,6,7],[2,5],[4,8]]
[[1,4,5],[2,7,8],[3],[6]]=>[[1,2,3,6],[4,7],[5,8]]=>[[1,4,7,8],[2,5],[3,6]]
[[1,3,5],[2,7,8],[4],[6]]=>[[1,2,4,6],[3,7],[5,8]]=>[[1,4,6,8],[2,5],[3,7]]
[[1,2,5],[3,7,8],[4],[6]]=>[[1,3,4,6],[2,7],[5,8]]=>[[1,4,6,7],[2,5],[3,8]]
[[1,3,4],[2,7,8],[5],[6]]=>[[1,2,5,6],[3,7],[4,8]]=>[[1,4,5,8],[2,6],[3,7]]
[[1,2,4],[3,7,8],[5],[6]]=>[[1,3,5,6],[2,7],[4,8]]=>[[1,4,5,7],[2,6],[3,8]]
[[1,2,3],[4,7,8],[5],[6]]=>[[1,4,5,6],[2,7],[3,8]]=>[[1,4,5,6],[2,7],[3,8]]
[[1,4,6],[2,5,8],[3],[7]]=>[[1,2,3,7],[4,5],[6,8]]=>[[1,3,5,8],[2,4],[6,7]]
[[1,3,6],[2,5,8],[4],[7]]=>[[1,2,4,7],[3,5],[6,8]]=>[[1,3,6,8],[2,4],[5,7]]
[[1,2,6],[3,5,8],[4],[7]]=>[[1,3,4,7],[2,5],[6,8]]=>[[1,3,6,7],[2,4],[5,8]]
[[1,3,6],[2,4,8],[5],[7]]=>[[1,2,5,7],[3,4],[6,8]]=>[[1,3,5,6],[2,4],[7,8]]
[[1,2,6],[3,4,8],[5],[7]]=>[[1,3,5,7],[2,4],[6,8]]=>[[1,3,5,7],[2,4],[6,8]]
[[1,4,5],[2,6,8],[3],[7]]=>[[1,2,3,7],[4,6],[5,8]]=>[[1,3,4,8],[2,5],[6,7]]
[[1,3,5],[2,6,8],[4],[7]]=>[[1,2,4,7],[3,6],[5,8]]=>[[1,3,4,8],[2,6],[5,7]]
[[1,2,5],[3,6,8],[4],[7]]=>[[1,3,4,7],[2,6],[5,8]]=>[[1,3,4,7],[2,6],[5,8]]
[[1,3,4],[2,6,8],[5],[7]]=>[[1,2,5,7],[3,6],[4,8]]=>[[1,3,5,8],[2,6],[4,7]]
[[1,2,4],[3,6,8],[5],[7]]=>[[1,3,5,7],[2,6],[4,8]]=>[[1,3,5,7],[2,6],[4,8]]
[[1,2,3],[4,6,8],[5],[7]]=>[[1,4,5,7],[2,6],[3,8]]=>[[1,3,5,6],[2,7],[4,8]]
[[1,3,5],[2,4,8],[6],[7]]=>[[1,2,6,7],[3,4],[5,8]]=>[[1,3,4,6],[2,5],[7,8]]
[[1,2,5],[3,4,8],[6],[7]]=>[[1,3,6,7],[2,4],[5,8]]=>[[1,3,4,7],[2,5],[6,8]]
[[1,3,4],[2,5,8],[6],[7]]=>[[1,2,6,7],[3,5],[4,8]]=>[[1,3,4,5],[2,6],[7,8]]
[[1,2,4],[3,5,8],[6],[7]]=>[[1,3,6,7],[2,5],[4,8]]=>[[1,3,4,5],[2,7],[6,8]]
[[1,2,3],[4,5,8],[6],[7]]=>[[1,4,6,7],[2,5],[3,8]]=>[[1,3,4,6],[2,7],[5,8]]
[[1,4,6],[2,5,7],[3],[8]]=>[[1,2,3,8],[4,5],[6,7]]=>[[1,2,3,8],[4,5],[6,7]]
[[1,3,6],[2,5,7],[4],[8]]=>[[1,2,4,8],[3,5],[6,7]]=>[[1,2,3,8],[4,6],[5,7]]
[[1,2,6],[3,5,7],[4],[8]]=>[[1,3,4,8],[2,5],[6,7]]=>[[1,2,3,7],[4,6],[5,8]]
[[1,3,6],[2,4,7],[5],[8]]=>[[1,2,5,8],[3,4],[6,7]]=>[[1,2,3,6],[4,5],[7,8]]
[[1,2,6],[3,4,7],[5],[8]]=>[[1,3,5,8],[2,4],[6,7]]=>[[1,2,3,7],[4,5],[6,8]]
[[1,4,5],[2,6,7],[3],[8]]=>[[1,2,3,8],[4,6],[5,7]]=>[[1,2,4,8],[3,5],[6,7]]
[[1,3,5],[2,6,7],[4],[8]]=>[[1,2,4,8],[3,6],[5,7]]=>[[1,2,4,8],[3,6],[5,7]]
[[1,2,5],[3,6,7],[4],[8]]=>[[1,3,4,8],[2,6],[5,7]]=>[[1,2,4,7],[3,6],[5,8]]
[[1,3,4],[2,6,7],[5],[8]]=>[[1,2,5,8],[3,6],[4,7]]=>[[1,2,5,8],[3,6],[4,7]]
[[1,2,4],[3,6,7],[5],[8]]=>[[1,3,5,8],[2,6],[4,7]]=>[[1,2,5,7],[3,6],[4,8]]
[[1,2,3],[4,6,7],[5],[8]]=>[[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]
[[1,3,5],[2,4,7],[6],[8]]=>[[1,2,6,8],[3,4],[5,7]]=>[[1,2,4,6],[3,5],[7,8]]
[[1,2,5],[3,4,7],[6],[8]]=>[[1,3,6,8],[2,4],[5,7]]=>[[1,2,4,7],[3,5],[6,8]]
[[1,3,4],[2,5,7],[6],[8]]=>[[1,2,6,8],[3,5],[4,7]]=>[[1,2,4,5],[3,6],[7,8]]
[[1,2,4],[3,5,7],[6],[8]]=>[[1,3,6,8],[2,5],[4,7]]=>[[1,2,4,5],[3,7],[6,8]]
[[1,2,3],[4,5,7],[6],[8]]=>[[1,4,6,8],[2,5],[3,7]]=>[[1,2,4,6],[3,7],[5,8]]
[[1,3,5],[2,4,6],[7],[8]]=>[[1,2,7,8],[3,4],[5,6]]=>[[1,2,3,4],[5,6],[7,8]]
[[1,2,5],[3,4,6],[7],[8]]=>[[1,3,7,8],[2,4],[5,6]]=>[[1,2,3,4],[5,7],[6,8]]
[[1,3,4],[2,5,6],[7],[8]]=>[[1,2,7,8],[3,5],[4,6]]=>[[1,2,3,5],[4,6],[7,8]]
[[1,2,4],[3,5,6],[7],[8]]=>[[1,3,7,8],[2,5],[4,6]]=>[[1,2,3,5],[4,7],[6,8]]
[[1,2,3],[4,5,6],[7],[8]]=>[[1,4,7,8],[2,5],[3,6]]=>[[1,2,3,6],[4,7],[5,8]]
[[1,5,8],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7],[8]]=>[[1,3,4,8],[2,6,7],[5]]
[[1,4,8],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7],[8]]=>[[1,3,5,8],[2,6,7],[4]]
[[1,3,8],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7],[8]]=>[[1,3,6,8],[2,5,7],[4]]
[[1,2,8],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7],[8]]=>[[1,3,6,7],[2,5,8],[4]]
[[1,4,8],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7],[8]]=>[[1,4,5,8],[2,6,7],[3]]
[[1,3,8],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7],[8]]=>[[1,4,6,8],[2,5,7],[3]]
[[1,2,8],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7],[8]]=>[[1,4,6,7],[2,5,8],[3]]
[[1,3,8],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7],[8]]=>[[1,4,5,6],[2,7,8],[3]]
[[1,2,8],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7],[8]]=>[[1,4,5,7],[2,6,8],[3]]
[[1,4,8],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6],[8]]=>[[1,3,4,5],[2,7,8],[6]]
[[1,3,8],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6],[8]]=>[[1,3,4,6],[2,7,8],[5]]
[[1,2,8],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6],[8]]=>[[1,3,4,7],[2,6,8],[5]]
[[1,3,8],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6],[8]]=>[[1,3,5,6],[2,7,8],[4]]
[[1,2,8],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6],[8]]=>[[1,3,5,7],[2,6,8],[4]]
[[1,5,7],[2,6],[3,8],[4]]=>[[1,2,3,4],[5,6,8],[7]]=>[[1,2,4,8],[3,6,7],[5]]
[[1,4,7],[2,6],[3,8],[5]]=>[[1,2,3,5],[4,6,8],[7]]=>[[1,2,5,8],[3,6,7],[4]]
[[1,3,7],[2,6],[4,8],[5]]=>[[1,2,4,5],[3,6,8],[7]]=>[[1,2,6,8],[3,5,7],[4]]
[[1,2,7],[3,6],[4,8],[5]]=>[[1,3,4,5],[2,6,8],[7]]=>[[1,2,6,7],[3,5,8],[4]]
[[1,4,7],[2,5],[3,8],[6]]=>[[1,2,3,6],[4,5,8],[7]]=>[[1,2,5,8],[3,4,7],[6]]
[[1,3,7],[2,5],[4,8],[6]]=>[[1,2,4,6],[3,5,8],[7]]=>[[1,2,6,8],[3,4,7],[5]]
[[1,2,7],[3,5],[4,8],[6]]=>[[1,3,4,6],[2,5,8],[7]]=>[[1,2,6,7],[3,4,8],[5]]
[[1,3,7],[2,4],[5,8],[6]]=>[[1,2,5,6],[3,4,8],[7]]=>[[1,2,5,6],[3,4,8],[7]]
[[1,2,7],[3,4],[5,8],[6]]=>[[1,3,5,6],[2,4,8],[7]]=>[[1,2,5,7],[3,4,8],[6]]
[[1,5,6],[2,7],[3,8],[4]]=>[[1,2,3,4],[5,7,8],[6]]=>[[1,2,3,8],[4,6,7],[5]]
[[1,4,6],[2,7],[3,8],[5]]=>[[1,2,3,5],[4,7,8],[6]]=>[[1,2,3,8],[4,5,7],[6]]
[[1,3,6],[2,7],[4,8],[5]]=>[[1,2,4,5],[3,7,8],[6]]=>[[1,2,3,8],[4,5,6],[7]]
[[1,2,6],[3,7],[4,8],[5]]=>[[1,3,4,5],[2,7,8],[6]]=>[[1,2,3,7],[4,5,6],[8]]
[[1,4,5],[2,7],[3,8],[6]]=>[[1,2,3,6],[4,7,8],[5]]=>[[1,2,4,8],[3,5,7],[6]]
[[1,3,5],[2,7],[4,8],[6]]=>[[1,2,4,6],[3,7,8],[5]]=>[[1,2,4,8],[3,5,6],[7]]
[[1,2,5],[3,7],[4,8],[6]]=>[[1,3,4,6],[2,7,8],[5]]=>[[1,2,4,7],[3,5,6],[8]]
[[1,3,4],[2,7],[5,8],[6]]=>[[1,2,5,6],[3,7,8],[4]]=>[[1,2,5,8],[3,4,6],[7]]
[[1,2,4],[3,7],[5,8],[6]]=>[[1,3,5,6],[2,7,8],[4]]=>[[1,2,5,7],[3,4,6],[8]]
[[1,2,3],[4,7],[5,8],[6]]=>[[1,4,5,6],[2,7,8],[3]]=>[[1,2,5,6],[3,4,7],[8]]
[[1,4,6],[2,5],[3,8],[7]]=>[[1,2,3,7],[4,5,8],[6]]=>[[1,3,5,8],[2,4,7],[6]]
[[1,3,6],[2,5],[4,8],[7]]=>[[1,2,4,7],[3,5,8],[6]]=>[[1,3,6,8],[2,4,7],[5]]
[[1,2,6],[3,5],[4,8],[7]]=>[[1,3,4,7],[2,5,8],[6]]=>[[1,3,6,7],[2,4,8],[5]]
[[1,3,6],[2,4],[5,8],[7]]=>[[1,2,5,7],[3,4,8],[6]]=>[[1,3,5,6],[2,4,8],[7]]
[[1,2,6],[3,4],[5,8],[7]]=>[[1,3,5,7],[2,4,8],[6]]=>[[1,3,5,7],[2,4,8],[6]]
[[1,4,5],[2,6],[3,8],[7]]=>[[1,2,3,7],[4,6,8],[5]]=>[[1,3,4,8],[2,5,7],[6]]
[[1,3,5],[2,6],[4,8],[7]]=>[[1,2,4,7],[3,6,8],[5]]=>[[1,3,4,8],[2,5,6],[7]]
[[1,2,5],[3,6],[4,8],[7]]=>[[1,3,4,7],[2,6,8],[5]]=>[[1,3,4,7],[2,5,6],[8]]
[[1,3,4],[2,6],[5,8],[7]]=>[[1,2,5,7],[3,6,8],[4]]=>[[1,3,5,8],[2,4,6],[7]]
[[1,2,4],[3,6],[5,8],[7]]=>[[1,3,5,7],[2,6,8],[4]]=>[[1,3,5,7],[2,4,6],[8]]
[[1,2,3],[4,6],[5,8],[7]]=>[[1,4,5,7],[2,6,8],[3]]=>[[1,3,5,6],[2,4,7],[8]]
[[1,3,5],[2,4],[6,8],[7]]=>[[1,2,6,7],[3,4,8],[5]]=>[[1,3,4,6],[2,5,8],[7]]
[[1,2,5],[3,4],[6,8],[7]]=>[[1,3,6,7],[2,4,8],[5]]=>[[1,3,4,7],[2,5,8],[6]]
[[1,3,4],[2,5],[6,8],[7]]=>[[1,2,6,7],[3,5,8],[4]]=>[[1,3,4,5],[2,6,8],[7]]
[[1,2,4],[3,5],[6,8],[7]]=>[[1,3,6,7],[2,5,8],[4]]=>[[1,3,4,5],[2,6,7],[8]]
[[1,2,3],[4,5],[6,8],[7]]=>[[1,4,6,7],[2,5,8],[3]]=>[[1,3,4,6],[2,5,7],[8]]
[[1,4,7],[2,5],[3,6],[8]]=>[[1,2,3,8],[4,5,6],[7]]=>[[1,2,4,5],[3,7,8],[6]]
[[1,3,7],[2,5],[4,6],[8]]=>[[1,2,4,8],[3,5,6],[7]]=>[[1,2,4,6],[3,7,8],[5]]
[[1,2,7],[3,5],[4,6],[8]]=>[[1,3,4,8],[2,5,6],[7]]=>[[1,2,4,7],[3,6,8],[5]]
[[1,3,7],[2,4],[5,6],[8]]=>[[1,2,5,8],[3,4,6],[7]]=>[[1,2,5,6],[3,7,8],[4]]
[[1,2,7],[3,4],[5,6],[8]]=>[[1,3,5,8],[2,4,6],[7]]=>[[1,2,5,7],[3,6,8],[4]]
[[1,4,6],[2,5],[3,7],[8]]=>[[1,2,3,8],[4,5,7],[6]]=>[[1,2,3,5],[4,7,8],[6]]
[[1,3,6],[2,5],[4,7],[8]]=>[[1,2,4,8],[3,5,7],[6]]=>[[1,2,3,6],[4,7,8],[5]]
[[1,2,6],[3,5],[4,7],[8]]=>[[1,3,4,8],[2,5,7],[6]]=>[[1,2,3,7],[4,6,8],[5]]
[[1,3,6],[2,4],[5,7],[8]]=>[[1,2,5,8],[3,4,7],[6]]=>[[1,2,3,6],[4,5,8],[7]]
[[1,2,6],[3,4],[5,7],[8]]=>[[1,3,5,8],[2,4,7],[6]]=>[[1,2,3,7],[4,5,8],[6]]
[[1,4,5],[2,6],[3,7],[8]]=>[[1,2,3,8],[4,6,7],[5]]=>[[1,2,3,4],[5,7,8],[6]]
[[1,3,5],[2,6],[4,7],[8]]=>[[1,2,4,8],[3,6,7],[5]]=>[[1,2,3,4],[5,6,8],[7]]
[[1,2,5],[3,6],[4,7],[8]]=>[[1,3,4,8],[2,6,7],[5]]=>[[1,2,3,4],[5,6,7],[8]]
[[1,3,4],[2,6],[5,7],[8]]=>[[1,2,5,8],[3,6,7],[4]]=>[[1,2,3,5],[4,6,8],[7]]
[[1,2,4],[3,6],[5,7],[8]]=>[[1,3,5,8],[2,6,7],[4]]=>[[1,2,3,5],[4,6,7],[8]]
[[1,2,3],[4,6],[5,7],[8]]=>[[1,4,5,8],[2,6,7],[3]]=>[[1,2,3,6],[4,5,7],[8]]
[[1,3,5],[2,4],[6,7],[8]]=>[[1,2,6,8],[3,4,7],[5]]=>[[1,2,4,6],[3,5,8],[7]]
[[1,2,5],[3,4],[6,7],[8]]=>[[1,3,6,8],[2,4,7],[5]]=>[[1,2,4,7],[3,5,8],[6]]
[[1,3,4],[2,5],[6,7],[8]]=>[[1,2,6,8],[3,5,7],[4]]=>[[1,2,4,5],[3,6,8],[7]]
[[1,2,4],[3,5],[6,7],[8]]=>[[1,3,6,8],[2,5,7],[4]]=>[[1,2,4,5],[3,6,7],[8]]
[[1,2,3],[4,5],[6,7],[8]]=>[[1,4,6,8],[2,5,7],[3]]=>[[1,2,4,6],[3,5,7],[8]]
[[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7],[8]]=>[[1,3,6,7,8],[2,5],[4]]
[[1,5,8],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7],[8]]=>[[1,4,6,7,8],[2,5],[3]]
[[1,4,8],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7],[8]]=>[[1,4,5,7,8],[2,6],[3]]
[[1,3,8],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7],[8]]=>[[1,4,5,6,8],[2,7],[3]]
[[1,2,8],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7],[8]]=>[[1,4,5,6,7],[2,8],[3]]
[[1,5,8],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6],[8]]=>[[1,3,4,7,8],[2,6],[5]]
[[1,4,8],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6],[8]]=>[[1,3,5,7,8],[2,6],[4]]
[[1,3,8],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6],[8]]=>[[1,3,5,6,8],[2,7],[4]]
[[1,2,8],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6],[8]]=>[[1,3,5,6,7],[2,8],[4]]
[[1,4,8],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5],[8]]=>[[1,3,4,5,8],[2,7],[6]]
[[1,3,8],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5],[8]]=>[[1,3,4,6,8],[2,7],[5]]
[[1,2,8],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5],[8]]=>[[1,3,4,6,7],[2,8],[5]]
[[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4],[8]]=>[[1,3,4,5,6],[2,8],[7]]
[[1,2,8],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4],[8]]=>[[1,3,4,5,7],[2,8],[6]]
[[1,6,7],[2,8],[3],[4],[5]]=>[[1,2,3,4,5],[6,8],[7]]=>[[1,2,6,7,8],[3,5],[4]]
[[1,5,7],[2,8],[3],[4],[6]]=>[[1,2,3,4,6],[5,8],[7]]=>[[1,2,6,7,8],[3,4],[5]]
[[1,4,7],[2,8],[3],[5],[6]]=>[[1,2,3,5,6],[4,8],[7]]=>[[1,2,5,7,8],[3,4],[6]]
[[1,3,7],[2,8],[4],[5],[6]]=>[[1,2,4,5,6],[3,8],[7]]=>[[1,2,5,6,8],[3,4],[7]]
[[1,2,7],[3,8],[4],[5],[6]]=>[[1,3,4,5,6],[2,8],[7]]=>[[1,2,5,6,7],[3,4],[8]]
[[1,5,6],[2,8],[3],[4],[7]]=>[[1,2,3,4,7],[5,8],[6]]=>[[1,3,6,7,8],[2,4],[5]]
[[1,4,6],[2,8],[3],[5],[7]]=>[[1,2,3,5,7],[4,8],[6]]=>[[1,3,5,7,8],[2,4],[6]]
[[1,3,6],[2,8],[4],[5],[7]]=>[[1,2,4,5,7],[3,8],[6]]=>[[1,3,5,6,8],[2,4],[7]]
[[1,2,6],[3,8],[4],[5],[7]]=>[[1,3,4,5,7],[2,8],[6]]=>[[1,3,5,6,7],[2,4],[8]]
[[1,4,5],[2,8],[3],[6],[7]]=>[[1,2,3,6,7],[4,8],[5]]=>[[1,3,4,7,8],[2,5],[6]]
[[1,3,5],[2,8],[4],[6],[7]]=>[[1,2,4,6,7],[3,8],[5]]=>[[1,3,4,6,8],[2,5],[7]]
[[1,2,5],[3,8],[4],[6],[7]]=>[[1,3,4,6,7],[2,8],[5]]=>[[1,3,4,6,7],[2,5],[8]]
[[1,3,4],[2,8],[5],[6],[7]]=>[[1,2,5,6,7],[3,8],[4]]=>[[1,3,4,5,8],[2,6],[7]]
[[1,2,4],[3,8],[5],[6],[7]]=>[[1,3,5,6,7],[2,8],[4]]=>[[1,3,4,5,7],[2,6],[8]]
[[1,2,3],[4,8],[5],[6],[7]]=>[[1,4,5,6,7],[2,8],[3]]=>[[1,3,4,5,6],[2,7],[8]]
[[1,5,7],[2,6],[3],[4],[8]]=>[[1,2,3,4,8],[5,6],[7]]=>[[1,2,4,7,8],[3,6],[5]]
[[1,4,7],[2,6],[3],[5],[8]]=>[[1,2,3,5,8],[4,6],[7]]=>[[1,2,5,7,8],[3,6],[4]]
[[1,3,7],[2,6],[4],[5],[8]]=>[[1,2,4,5,8],[3,6],[7]]=>[[1,2,5,6,8],[3,7],[4]]
[[1,2,7],[3,6],[4],[5],[8]]=>[[1,3,4,5,8],[2,6],[7]]=>[[1,2,5,6,7],[3,8],[4]]
[[1,4,7],[2,5],[3],[6],[8]]=>[[1,2,3,6,8],[4,5],[7]]=>[[1,2,4,5,8],[3,7],[6]]
[[1,3,7],[2,5],[4],[6],[8]]=>[[1,2,4,6,8],[3,5],[7]]=>[[1,2,4,6,8],[3,7],[5]]
[[1,2,7],[3,5],[4],[6],[8]]=>[[1,3,4,6,8],[2,5],[7]]=>[[1,2,4,6,7],[3,8],[5]]
[[1,3,7],[2,4],[5],[6],[8]]=>[[1,2,5,6,8],[3,4],[7]]=>[[1,2,4,5,6],[3,8],[7]]
[[1,2,7],[3,4],[5],[6],[8]]=>[[1,3,5,6,8],[2,4],[7]]=>[[1,2,4,5,7],[3,8],[6]]
[[1,5,6],[2,7],[3],[4],[8]]=>[[1,2,3,4,8],[5,7],[6]]=>[[1,2,3,7,8],[4,6],[5]]
[[1,4,6],[2,7],[3],[5],[8]]=>[[1,2,3,5,8],[4,7],[6]]=>[[1,2,3,7,8],[4,5],[6]]
[[1,3,6],[2,7],[4],[5],[8]]=>[[1,2,4,5,8],[3,7],[6]]=>[[1,2,3,6,8],[4,5],[7]]
[[1,2,6],[3,7],[4],[5],[8]]=>[[1,3,4,5,8],[2,7],[6]]=>[[1,2,3,6,7],[4,5],[8]]
[[1,4,5],[2,7],[3],[6],[8]]=>[[1,2,3,6,8],[4,7],[5]]=>[[1,2,4,7,8],[3,5],[6]]
[[1,3,5],[2,7],[4],[6],[8]]=>[[1,2,4,6,8],[3,7],[5]]=>[[1,2,4,6,8],[3,5],[7]]
[[1,2,5],[3,7],[4],[6],[8]]=>[[1,3,4,6,8],[2,7],[5]]=>[[1,2,4,6,7],[3,5],[8]]
[[1,3,4],[2,7],[5],[6],[8]]=>[[1,2,5,6,8],[3,7],[4]]=>[[1,2,4,5,8],[3,6],[7]]
[[1,2,4],[3,7],[5],[6],[8]]=>[[1,3,5,6,8],[2,7],[4]]=>[[1,2,4,5,7],[3,6],[8]]
[[1,2,3],[4,7],[5],[6],[8]]=>[[1,4,5,6,8],[2,7],[3]]=>[[1,2,4,5,6],[3,7],[8]]
[[1,4,6],[2,5],[3],[7],[8]]=>[[1,2,3,7,8],[4,5],[6]]=>[[1,2,3,5,8],[4,7],[6]]
[[1,3,6],[2,5],[4],[7],[8]]=>[[1,2,4,7,8],[3,5],[6]]=>[[1,2,3,6,8],[4,7],[5]]
[[1,2,6],[3,5],[4],[7],[8]]=>[[1,3,4,7,8],[2,5],[6]]=>[[1,2,3,6,7],[4,8],[5]]
[[1,3,6],[2,4],[5],[7],[8]]=>[[1,2,5,7,8],[3,4],[6]]=>[[1,2,3,5,6],[4,8],[7]]
[[1,2,6],[3,4],[5],[7],[8]]=>[[1,3,5,7,8],[2,4],[6]]=>[[1,2,3,5,7],[4,8],[6]]
[[1,4,5],[2,6],[3],[7],[8]]=>[[1,2,3,7,8],[4,6],[5]]=>[[1,2,3,4,8],[5,7],[6]]
[[1,3,5],[2,6],[4],[7],[8]]=>[[1,2,4,7,8],[3,6],[5]]=>[[1,2,3,4,8],[5,6],[7]]
[[1,2,5],[3,6],[4],[7],[8]]=>[[1,3,4,7,8],[2,6],[5]]=>[[1,2,3,4,7],[5,6],[8]]
[[1,3,4],[2,6],[5],[7],[8]]=>[[1,2,5,7,8],[3,6],[4]]=>[[1,2,3,5,8],[4,6],[7]]
[[1,2,4],[3,6],[5],[7],[8]]=>[[1,3,5,7,8],[2,6],[4]]=>[[1,2,3,5,7],[4,6],[8]]
[[1,2,3],[4,6],[5],[7],[8]]=>[[1,4,5,7,8],[2,6],[3]]=>[[1,2,3,5,6],[4,7],[8]]
[[1,3,5],[2,4],[6],[7],[8]]=>[[1,2,6,7,8],[3,4],[5]]=>[[1,2,3,4,6],[5,8],[7]]
[[1,2,5],[3,4],[6],[7],[8]]=>[[1,3,6,7,8],[2,4],[5]]=>[[1,2,3,4,7],[5,8],[6]]
[[1,3,4],[2,5],[6],[7],[8]]=>[[1,2,6,7,8],[3,5],[4]]=>[[1,2,3,4,5],[6,8],[7]]
[[1,2,4],[3,5],[6],[7],[8]]=>[[1,3,6,7,8],[2,5],[4]]=>[[1,2,3,4,5],[6,7],[8]]
[[1,2,3],[4,5],[6],[7],[8]]=>[[1,4,6,7,8],[2,5],[3]]=>[[1,2,3,4,6],[5,7],[8]]
[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7],[8]]=>[[1,4,5,6,7,8],[2],[3]]
[[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6],[8]]=>[[1,3,5,6,7,8],[2],[4]]
[[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5],[8]]=>[[1,3,4,6,7,8],[2],[5]]
[[1,4,8],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4],[8]]=>[[1,3,4,5,7,8],[2],[6]]
[[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3],[8]]=>[[1,3,4,5,6,8],[2],[7]]
[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2],[8]]=>[[1,3,4,5,6,7],[2],[8]]
[[1,6,7],[2],[3],[4],[5],[8]]=>[[1,2,3,4,5,8],[6],[7]]=>[[1,2,5,6,7,8],[3],[4]]
[[1,5,7],[2],[3],[4],[6],[8]]=>[[1,2,3,4,6,8],[5],[7]]=>[[1,2,4,6,7,8],[3],[5]]
[[1,4,7],[2],[3],[5],[6],[8]]=>[[1,2,3,5,6,8],[4],[7]]=>[[1,2,4,5,7,8],[3],[6]]
[[1,3,7],[2],[4],[5],[6],[8]]=>[[1,2,4,5,6,8],[3],[7]]=>[[1,2,4,5,6,8],[3],[7]]
[[1,2,7],[3],[4],[5],[6],[8]]=>[[1,3,4,5,6,8],[2],[7]]=>[[1,2,4,5,6,7],[3],[8]]
[[1,5,6],[2],[3],[4],[7],[8]]=>[[1,2,3,4,7,8],[5],[6]]=>[[1,2,3,6,7,8],[4],[5]]
[[1,4,6],[2],[3],[5],[7],[8]]=>[[1,2,3,5,7,8],[4],[6]]=>[[1,2,3,5,7,8],[4],[6]]
[[1,3,6],[2],[4],[5],[7],[8]]=>[[1,2,4,5,7,8],[3],[6]]=>[[1,2,3,5,6,8],[4],[7]]
[[1,2,6],[3],[4],[5],[7],[8]]=>[[1,3,4,5,7,8],[2],[6]]=>[[1,2,3,5,6,7],[4],[8]]
[[1,4,5],[2],[3],[6],[7],[8]]=>[[1,2,3,6,7,8],[4],[5]]=>[[1,2,3,4,7,8],[5],[6]]
[[1,3,5],[2],[4],[6],[7],[8]]=>[[1,2,4,6,7,8],[3],[5]]=>[[1,2,3,4,6,8],[5],[7]]
[[1,2,5],[3],[4],[6],[7],[8]]=>[[1,3,4,6,7,8],[2],[5]]=>[[1,2,3,4,6,7],[5],[8]]
[[1,3,4],[2],[5],[6],[7],[8]]=>[[1,2,5,6,7,8],[3],[4]]=>[[1,2,3,4,5,8],[6],[7]]
[[1,2,4],[3],[5],[6],[7],[8]]=>[[1,3,5,6,7,8],[2],[4]]=>[[1,2,3,4,5,7],[6],[8]]
[[1,2,3],[4],[5],[6],[7],[8]]=>[[1,4,5,6,7,8],[2],[3]]=>[[1,2,3,4,5,6],[7],[8]]
[[1,5],[2,6],[3,7],[4,8]]=>[[1,2,3,4],[5,6,7,8]]=>[[1,2,3,4],[5,6,7,8]]
[[1,4],[2,6],[3,7],[5,8]]=>[[1,2,3,5],[4,6,7,8]]=>[[1,2,3,5],[4,6,7,8]]
[[1,3],[2,6],[4,7],[5,8]]=>[[1,2,4,5],[3,6,7,8]]=>[[1,2,3,6],[4,5,7,8]]
[[1,2],[3,6],[4,7],[5,8]]=>[[1,3,4,5],[2,6,7,8]]=>[[1,2,3,7],[4,5,6,8]]
[[1,4],[2,5],[3,7],[6,8]]=>[[1,2,3,6],[4,5,7,8]]=>[[1,2,4,5],[3,6,7,8]]
[[1,3],[2,5],[4,7],[6,8]]=>[[1,2,4,6],[3,5,7,8]]=>[[1,2,4,6],[3,5,7,8]]
[[1,2],[3,5],[4,7],[6,8]]=>[[1,3,4,6],[2,5,7,8]]=>[[1,2,4,7],[3,5,6,8]]
[[1,3],[2,4],[5,7],[6,8]]=>[[1,2,5,6],[3,4,7,8]]=>[[1,2,5,6],[3,4,7,8]]
[[1,2],[3,4],[5,7],[6,8]]=>[[1,3,5,6],[2,4,7,8]]=>[[1,2,5,7],[3,4,6,8]]
[[1,4],[2,5],[3,6],[7,8]]=>[[1,2,3,7],[4,5,6,8]]=>[[1,3,4,5],[2,6,7,8]]
[[1,3],[2,5],[4,6],[7,8]]=>[[1,2,4,7],[3,5,6,8]]=>[[1,3,4,6],[2,5,7,8]]
[[1,2],[3,5],[4,6],[7,8]]=>[[1,3,4,7],[2,5,6,8]]=>[[1,3,4,7],[2,5,6,8]]
[[1,3],[2,4],[5,6],[7,8]]=>[[1,2,5,7],[3,4,6,8]]=>[[1,3,5,6],[2,4,7,8]]
[[1,2],[3,4],[5,6],[7,8]]=>[[1,3,5,7],[2,4,6,8]]=>[[1,3,5,7],[2,4,6,8]]
[[1,6],[2,7],[3,8],[4],[5]]=>[[1,2,3,4,5],[6,7,8]]=>[[1,2,3,7,8],[4,5,6]]
[[1,5],[2,7],[3,8],[4],[6]]=>[[1,2,3,4,6],[5,7,8]]=>[[1,2,4,7,8],[3,5,6]]
[[1,4],[2,7],[3,8],[5],[6]]=>[[1,2,3,5,6],[4,7,8]]=>[[1,2,5,7,8],[3,4,6]]
[[1,3],[2,7],[4,8],[5],[6]]=>[[1,2,4,5,6],[3,7,8]]=>[[1,2,5,6,8],[3,4,7]]
[[1,2],[3,7],[4,8],[5],[6]]=>[[1,3,4,5,6],[2,7,8]]=>[[1,2,5,6,7],[3,4,8]]
[[1,5],[2,6],[3,8],[4],[7]]=>[[1,2,3,4,7],[5,6,8]]=>[[1,3,4,7,8],[2,5,6]]
[[1,4],[2,6],[3,8],[5],[7]]=>[[1,2,3,5,7],[4,6,8]]=>[[1,3,5,7,8],[2,4,6]]
[[1,3],[2,6],[4,8],[5],[7]]=>[[1,2,4,5,7],[3,6,8]]=>[[1,3,5,6,8],[2,4,7]]
[[1,2],[3,6],[4,8],[5],[7]]=>[[1,3,4,5,7],[2,6,8]]=>[[1,3,5,6,7],[2,4,8]]
[[1,4],[2,5],[3,8],[6],[7]]=>[[1,2,3,6,7],[4,5,8]]=>[[1,3,4,5,8],[2,6,7]]
[[1,3],[2,5],[4,8],[6],[7]]=>[[1,2,4,6,7],[3,5,8]]=>[[1,3,4,6,8],[2,5,7]]
[[1,2],[3,5],[4,8],[6],[7]]=>[[1,3,4,6,7],[2,5,8]]=>[[1,3,4,6,7],[2,5,8]]
[[1,3],[2,4],[5,8],[6],[7]]=>[[1,2,5,6,7],[3,4,8]]=>[[1,3,4,5,6],[2,7,8]]
[[1,2],[3,4],[5,8],[6],[7]]=>[[1,3,5,6,7],[2,4,8]]=>[[1,3,4,5,7],[2,6,8]]
[[1,5],[2,6],[3,7],[4],[8]]=>[[1,2,3,4,8],[5,6,7]]=>[[1,2,3,4,8],[5,6,7]]
[[1,4],[2,6],[3,7],[5],[8]]=>[[1,2,3,5,8],[4,6,7]]=>[[1,2,3,5,8],[4,6,7]]
[[1,3],[2,6],[4,7],[5],[8]]=>[[1,2,4,5,8],[3,6,7]]=>[[1,2,3,6,8],[4,5,7]]
[[1,2],[3,6],[4,7],[5],[8]]=>[[1,3,4,5,8],[2,6,7]]=>[[1,2,3,6,7],[4,5,8]]
[[1,4],[2,5],[3,7],[6],[8]]=>[[1,2,3,6,8],[4,5,7]]=>[[1,2,4,5,8],[3,6,7]]
[[1,3],[2,5],[4,7],[6],[8]]=>[[1,2,4,6,8],[3,5,7]]=>[[1,2,4,6,8],[3,5,7]]
[[1,2],[3,5],[4,7],[6],[8]]=>[[1,3,4,6,8],[2,5,7]]=>[[1,2,4,6,7],[3,5,8]]
[[1,3],[2,4],[5,7],[6],[8]]=>[[1,2,5,6,8],[3,4,7]]=>[[1,2,4,5,6],[3,7,8]]
[[1,2],[3,4],[5,7],[6],[8]]=>[[1,3,5,6,8],[2,4,7]]=>[[1,2,4,5,7],[3,6,8]]
[[1,4],[2,5],[3,6],[7],[8]]=>[[1,2,3,7,8],[4,5,6]]=>[[1,2,3,4,5],[6,7,8]]
[[1,3],[2,5],[4,6],[7],[8]]=>[[1,2,4,7,8],[3,5,6]]=>[[1,2,3,4,6],[5,7,8]]
[[1,2],[3,5],[4,6],[7],[8]]=>[[1,3,4,7,8],[2,5,6]]=>[[1,2,3,4,7],[5,6,8]]
[[1,3],[2,4],[5,6],[7],[8]]=>[[1,2,5,7,8],[3,4,6]]=>[[1,2,3,5,6],[4,7,8]]
[[1,2],[3,4],[5,6],[7],[8]]=>[[1,3,5,7,8],[2,4,6]]=>[[1,2,3,5,7],[4,6,8]]
[[1,7],[2,8],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7,8]]=>[[1,2,5,6,7,8],[3,4]]
[[1,6],[2,8],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,8]]=>[[1,3,5,6,7,8],[2,4]]
[[1,5],[2,8],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5,8]]=>[[1,3,4,6,7,8],[2,5]]
[[1,4],[2,8],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4,8]]=>[[1,3,4,5,7,8],[2,6]]
[[1,3],[2,8],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3,8]]=>[[1,3,4,5,6,8],[2,7]]
[[1,2],[3,8],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2,8]]=>[[1,3,4,5,6,7],[2,8]]
[[1,6],[2,7],[3],[4],[5],[8]]=>[[1,2,3,4,5,8],[6,7]]=>[[1,2,3,6,7,8],[4,5]]
[[1,5],[2,7],[3],[4],[6],[8]]=>[[1,2,3,4,6,8],[5,7]]=>[[1,2,4,6,7,8],[3,5]]
[[1,4],[2,7],[3],[5],[6],[8]]=>[[1,2,3,5,6,8],[4,7]]=>[[1,2,4,5,7,8],[3,6]]
[[1,3],[2,7],[4],[5],[6],[8]]=>[[1,2,4,5,6,8],[3,7]]=>[[1,2,4,5,6,8],[3,7]]
[[1,2],[3,7],[4],[5],[6],[8]]=>[[1,3,4,5,6,8],[2,7]]=>[[1,2,4,5,6,7],[3,8]]
[[1,5],[2,6],[3],[4],[7],[8]]=>[[1,2,3,4,7,8],[5,6]]=>[[1,2,3,4,7,8],[5,6]]
[[1,4],[2,6],[3],[5],[7],[8]]=>[[1,2,3,5,7,8],[4,6]]=>[[1,2,3,5,7,8],[4,6]]
[[1,3],[2,6],[4],[5],[7],[8]]=>[[1,2,4,5,7,8],[3,6]]=>[[1,2,3,5,6,8],[4,7]]
[[1,2],[3,6],[4],[5],[7],[8]]=>[[1,3,4,5,7,8],[2,6]]=>[[1,2,3,5,6,7],[4,8]]
[[1,4],[2,5],[3],[6],[7],[8]]=>[[1,2,3,6,7,8],[4,5]]=>[[1,2,3,4,5,8],[6,7]]
[[1,3],[2,5],[4],[6],[7],[8]]=>[[1,2,4,6,7,8],[3,5]]=>[[1,2,3,4,6,8],[5,7]]
[[1,2],[3,5],[4],[6],[7],[8]]=>[[1,3,4,6,7,8],[2,5]]=>[[1,2,3,4,6,7],[5,8]]
[[1,3],[2,4],[5],[6],[7],[8]]=>[[1,2,5,6,7,8],[3,4]]=>[[1,2,3,4,5,6],[7,8]]
[[1,2],[3,4],[5],[6],[7],[8]]=>[[1,3,5,6,7,8],[2,4]]=>[[1,2,3,4,5,7],[6,8]]
[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7],[8]]=>[[1,3,4,5,6,7,8],[2]]
[[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7]]=>[[1,2,4,5,6,7,8],[3]]
[[1,6],[2],[3],[4],[5],[7],[8]]=>[[1,2,3,4,5,7,8],[6]]=>[[1,2,3,5,6,7,8],[4]]
[[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,2,3,4,6,7,8],[5]]=>[[1,2,3,4,6,7,8],[5]]
[[1,4],[2],[3],[5],[6],[7],[8]]=>[[1,2,3,5,6,7,8],[4]]=>[[1,2,3,4,5,7,8],[6]]
[[1,3],[2],[4],[5],[6],[7],[8]]=>[[1,2,4,5,6,7,8],[3]]=>[[1,2,3,4,5,6,8],[7]]
[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2,3,4,5,6,7],[8]]
[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]=>[[1,2,3,4,5,6,7,8]]
[[1,3,5,7,9],[2,4,6,8,10]]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]
[[1,3,5,7,8],[2,4,6,9,10]]=>[[1,2],[3,4],[5,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,6],[7,8],[9,10]]
[[1,3,5,6,9],[2,4,7,8,10]]=>[[1,2],[3,4],[5,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,6],[7,8],[9,10]]
[[1,3,5,6,8],[2,4,7,9,10]]=>[[1,2],[3,4],[5,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,6],[7,8],[9,10]]
[[1,3,5,6,7],[2,4,8,9,10]]=>[[1,2],[3,4],[5,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,6],[7,8],[9,10]]
[[1,3,4,7,9],[2,5,6,8,10]]=>[[1,2],[3,5],[4,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,7],[6,8],[9,10]]
[[1,3,4,7,8],[2,5,6,9,10]]=>[[1,2],[3,5],[4,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,7],[6,8],[9,10]]
[[1,3,4,6,9],[2,5,7,8,10]]=>[[1,2],[3,5],[4,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,7],[6,8],[9,10]]
[[1,3,4,6,8],[2,5,7,9,10]]=>[[1,2],[3,5],[4,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,7],[6,8],[9,10]]
[[1,3,4,6,7],[2,5,8,9,10]]=>[[1,2],[3,5],[4,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,7],[6,8],[9,10]]
[[1,3,4,5,9],[2,6,7,8,10]]=>[[1,2],[3,6],[4,7],[5,8],[9,10]]=>[[1,2],[3,6],[4,7],[5,8],[9,10]]
[[1,3,4,5,8],[2,6,7,9,10]]=>[[1,2],[3,6],[4,7],[5,9],[8,10]]=>[[1,3],[2,6],[4,7],[5,8],[9,10]]
[[1,3,4,5,7],[2,6,8,9,10]]=>[[1,2],[3,6],[4,8],[5,9],[7,10]]=>[[1,4],[2,6],[3,7],[5,8],[9,10]]
[[1,3,4,5,6],[2,7,8,9,10]]=>[[1,2],[3,7],[4,8],[5,9],[6,10]]=>[[1,5],[2,6],[3,7],[4,8],[9,10]]
[[1,2,5,7,9],[3,4,6,8,10]]=>[[1,3],[2,4],[5,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,6],[7,9],[8,10]]
[[1,2,5,7,8],[3,4,6,9,10]]=>[[1,3],[2,4],[5,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,6],[7,9],[8,10]]
[[1,2,5,6,9],[3,4,7,8,10]]=>[[1,3],[2,4],[5,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,6],[7,9],[8,10]]
[[1,2,5,6,8],[3,4,7,9,10]]=>[[1,3],[2,4],[5,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,6],[7,9],[8,10]]
[[1,2,5,6,7],[3,4,8,9,10]]=>[[1,3],[2,4],[5,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,6],[7,9],[8,10]]
[[1,2,4,7,9],[3,5,6,8,10]]=>[[1,3],[2,5],[4,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,7],[6,9],[8,10]]
[[1,2,4,7,8],[3,5,6,9,10]]=>[[1,3],[2,5],[4,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,7],[6,9],[8,10]]
[[1,2,4,6,9],[3,5,7,8,10]]=>[[1,3],[2,5],[4,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,7],[6,9],[8,10]]
[[1,2,4,6,8],[3,5,7,9,10]]=>[[1,3],[2,5],[4,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,7],[6,9],[8,10]]
[[1,2,4,6,7],[3,5,8,9,10]]=>[[1,3],[2,5],[4,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,7],[6,9],[8,10]]
[[1,2,4,5,9],[3,6,7,8,10]]=>[[1,3],[2,6],[4,7],[5,8],[9,10]]=>[[1,2],[3,6],[4,7],[5,9],[8,10]]
[[1,2,4,5,8],[3,6,7,9,10]]=>[[1,3],[2,6],[4,7],[5,9],[8,10]]=>[[1,3],[2,6],[4,7],[5,9],[8,10]]
[[1,2,4,5,7],[3,6,8,9,10]]=>[[1,3],[2,6],[4,8],[5,9],[7,10]]=>[[1,4],[2,6],[3,7],[5,9],[8,10]]
[[1,2,4,5,6],[3,7,8,9,10]]=>[[1,3],[2,7],[4,8],[5,9],[6,10]]=>[[1,5],[2,6],[3,7],[4,9],[8,10]]
[[1,2,3,7,9],[4,5,6,8,10]]=>[[1,4],[2,5],[3,6],[7,8],[9,10]]=>[[1,2],[3,4],[5,8],[6,9],[7,10]]
[[1,2,3,7,8],[4,5,6,9,10]]=>[[1,4],[2,5],[3,6],[7,9],[8,10]]=>[[1,3],[2,4],[5,8],[6,9],[7,10]]
[[1,2,3,6,9],[4,5,7,8,10]]=>[[1,4],[2,5],[3,7],[6,8],[9,10]]=>[[1,2],[3,5],[4,8],[6,9],[7,10]]
[[1,2,3,6,8],[4,5,7,9,10]]=>[[1,4],[2,5],[3,7],[6,9],[8,10]]=>[[1,3],[2,5],[4,8],[6,9],[7,10]]
[[1,2,3,6,7],[4,5,8,9,10]]=>[[1,4],[2,5],[3,8],[6,9],[7,10]]=>[[1,4],[2,5],[3,8],[6,9],[7,10]]
[[1,2,3,5,9],[4,6,7,8,10]]=>[[1,4],[2,6],[3,7],[5,8],[9,10]]=>[[1,2],[3,6],[4,8],[5,9],[7,10]]
[[1,2,3,5,8],[4,6,7,9,10]]=>[[1,4],[2,6],[3,7],[5,9],[8,10]]=>[[1,3],[2,6],[4,8],[5,9],[7,10]]
[[1,2,3,5,7],[4,6,8,9,10]]=>[[1,4],[2,6],[3,8],[5,9],[7,10]]=>[[1,4],[2,6],[3,8],[5,9],[7,10]]
[[1,2,3,5,6],[4,7,8,9,10]]=>[[1,4],[2,7],[3,8],[5,9],[6,10]]=>[[1,5],[2,6],[3,8],[4,9],[7,10]]
[[1,2,3,4,9],[5,6,7,8,10]]=>[[1,5],[2,6],[3,7],[4,8],[9,10]]=>[[1,2],[3,7],[4,8],[5,9],[6,10]]
[[1,2,3,4,8],[5,6,7,9,10]]=>[[1,5],[2,6],[3,7],[4,9],[8,10]]=>[[1,3],[2,7],[4,8],[5,9],[6,10]]
[[1,2,3,4,7],[5,6,8,9,10]]=>[[1,5],[2,6],[3,8],[4,9],[7,10]]=>[[1,4],[2,7],[3,8],[5,9],[6,10]]
[[1,2,3,4,6],[5,7,8,9,10]]=>[[1,5],[2,7],[3,8],[4,9],[6,10]]=>[[1,5],[2,7],[3,8],[4,9],[6,10]]
[[1,2,3,4,5],[6,7,8,9,10]]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]
[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]
[[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]
[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]
[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]
[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]
[[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]
[[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]
[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]
[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]
[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]
[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]
[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]
[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]
[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]
[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]
[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]
[[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]
[[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]
[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]
[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]
[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]
[[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]
[[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]
[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]
[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]
[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]
[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]
[[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]
[[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]
[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]
[[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]
[[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]
[[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]
[[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]
[[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]
[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]
[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]
[[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]
[[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]
[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]
[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]
[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]
[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]
[[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]
[[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]
[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]
[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]
[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]
[[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]
[[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]
[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]
[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]
[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]
[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]
[[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]
[[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]
[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]
[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]
[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]
[[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]
[[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]
[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]
[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]
[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]
[[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]
[[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]
[[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]
[[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]
[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]
[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]
[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]
[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]
[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]
[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]
[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]
[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]
[[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]
[[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]
[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]
[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]
[[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]
[[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]
[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]
[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]
[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]
[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]
[[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]
[[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]
[[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]
[[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]
[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]
[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]
[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]
[[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]
[[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]
[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]
[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]
[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]
[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]
[[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]
[[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]
[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]
[[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]
[[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]
[[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]
[[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]
[[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]
[[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]
[[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]
[[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]
[[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]
[[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]
[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]
[[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]
[[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]
[[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]
[[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]
[[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]
[[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]
[[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]
[[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]
[[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]
[[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]
[[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]
[[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]
[[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]
[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]
[[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]
[[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]
[[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]
[[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]
[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]
[[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]]
[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[[1,2,3,4,5,6,7],[8,9]]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]
[[1,2,3,4,5,6,7],[8],[9]]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]
[[1,2,3,4,5,6],[7,8,9]]=>[[1,7],[2,8],[3,9],[4],[5],[6]]=>[[1,4],[2,5],[3,6],[7],[8],[9]]
[[1,2,3,4,5,6],[7,8],[9]]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>[[1,2,4],[3,5],[6],[7],[8],[9]]
[[1,2,3,4,5,6],[7],[8],[9]]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]
[[1,2,3,4,5],[6,7,8,9]]=>[[1,6],[2,7],[3,8],[4,9],[5]]=>[[1,5],[2,6],[3,7],[4,8],[9]]
[[1,2,3,4,5],[6,7,8],[9]]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>[[1,2,5],[3,6],[4,7],[8],[9]]
[[1,2,3,4,5],[6,7],[8,9]]=>[[1,6,8],[2,7,9],[3],[4],[5]]=>[[1,3,5],[2,4,6],[7],[8],[9]]
[[1,2,3,4,5],[6,7],[8],[9]]=>[[1,6,8,9],[2,7],[3],[4],[5]]=>[[1,2,3,5],[4,6],[7],[8],[9]]
[[1,2,3,4,5],[6],[7],[8],[9]]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7],[8],[9]]
[[1,2,3,4],[5,6,7,8],[9]]=>[[1,5,9],[2,6],[3,7],[4,8]]=>[[1,2,6],[3,7],[4,8],[5,9]]
[[1,2,3,4],[5,6,7],[8,9]]=>[[1,5,8],[2,6,9],[3,7],[4]]=>[[1,3,6],[2,4,7],[5,8],[9]]
[[1,2,3,4],[5,6,7],[8],[9]]=>[[1,5,8,9],[2,6],[3,7],[4]]=>[[1,2,3,6],[4,7],[5,8],[9]]
[[1,2,3,4],[5,6],[7,8],[9]]=>[[1,5,7,9],[2,6,8],[3],[4]]=>[[1,2,4,6],[3,5,7],[8],[9]]
[[1,2,3,4],[5,6],[7],[8],[9]]=>[[1,5,7,8,9],[2,6],[3],[4]]=>[[1,2,3,4,6],[5,7],[8],[9]]
[[1,2,3,4],[5],[6],[7],[8],[9]]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[[1,2,3,4,5,6],[7],[8],[9]]
[[1,2,3],[4,5,6],[7,8,9]]=>[[1,4,7],[2,5,8],[3,6,9]]=>[[1,4,7],[2,5,8],[3,6,9]]
[[1,2,3],[4,5,6],[7,8],[9]]=>[[1,4,7,9],[2,5,8],[3,6]]=>[[1,2,4,7],[3,5,8],[6,9]]
[[1,2,3],[4,5,6],[7],[8],[9]]=>[[1,4,7,8,9],[2,5],[3,6]]=>[[1,2,3,4,7],[5,8],[6,9]]
[[1,2,3],[4,5],[6,7],[8,9]]=>[[1,4,6,8],[2,5,7,9],[3]]=>[[1,3,5,7],[2,4,6,8],[9]]
[[1,2,3],[4,5],[6,7],[8],[9]]=>[[1,4,6,8,9],[2,5,7],[3]]=>[[1,2,3,5,7],[4,6,8],[9]]
[[1,2,3],[4,5],[6],[7],[8],[9]]=>[[1,4,6,7,8,9],[2,5],[3]]=>[[1,2,3,4,5,7],[6,8],[9]]
[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[[1,4,5,6,7,8,9],[2],[3]]=>[[1,2,3,4,5,6,7],[8],[9]]
[[1,2],[3,4],[5,6],[7,8],[9]]=>[[1,3,5,7,9],[2,4,6,8]]=>[[1,2,4,6,8],[3,5,7,9]]
[[1,2],[3,4],[5,6],[7],[8],[9]]=>[[1,3,5,7,8,9],[2,4,6]]=>[[1,2,3,4,6,8],[5,7,9]]
[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[[1,3,5,6,7,8,9],[2,4]]=>[[1,2,3,4,5,6,8],[7,9]]
[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,3,4,5,6,7,8,9],[2]]=>[[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]]=>[[1,2,3,4,5,6,7,8,9]]
[[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]]
[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,7,8],[9,10]]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,7,8],[9],[10]]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,7],[8,9,10]]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,7],[8,9],[10]]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,7],[8],[9],[10]]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,6],[7,8,9,10]]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]
[[1,2,3,4,5,6],[7,8,9],[10]]=>[[1,7,10],[2,8],[3,9],[4],[5],[6]]=>[[1,2,5],[3,6],[4,7],[8],[9],[10]]
[[1,2,3,4,5,6],[7,8],[9,10]]=>[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>[[1,3,5],[2,4,6],[7],[8],[9],[10]]
[[1,2,3,4,5,6],[7,8],[9],[10]]=>[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>[[1,2,3,5],[4,6],[7],[8],[9],[10]]
[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]
[[1,2,3,4,5],[6,7,8,9],[10]]=>[[1,6,10],[2,7],[3,8],[4,9],[5]]=>[[1,2,6],[3,7],[4,8],[5,9],[10]]
[[1,2,3,4,5],[6,7,8],[9,10]]=>[[1,6,9],[2,7,10],[3,8],[4],[5]]=>[[1,3,6],[2,4,7],[5,8],[9],[10]]
[[1,2,3,4,5],[6,7,8],[9],[10]]=>[[1,6,9,10],[2,7],[3,8],[4],[5]]=>[[1,2,3,6],[4,7],[5,8],[9],[10]]
[[1,2,3,4,5],[6,7],[8,9],[10]]=>[[1,6,8,10],[2,7,9],[3],[4],[5]]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]
[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>[[1,2,3,4,6],[5,7],[8],[9],[10]]
[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]
[[1,2,3,4],[5,6,7,8],[9,10]]=>[[1,5,9],[2,6,10],[3,7],[4,8]]=>[[1,3,7],[2,4,8],[5,9],[6,10]]
[[1,2,3,4],[5,6,7,8],[9],[10]]=>[[1,5,9,10],[2,6],[3,7],[4,8]]=>[[1,2,3,7],[4,8],[5,9],[6,10]]
[[1,2,3,4],[5,6,7],[8,9,10]]=>[[1,5,8],[2,6,9],[3,7,10],[4]]=>[[1,4,7],[2,5,8],[3,6,9],[10]]
[[1,2,3,4],[5,6,7],[8,9],[10]]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>[[1,2,4,7],[3,5,8],[6,9],[10]]
[[1,2,3,4],[5,6,7],[8],[9],[10]]=>[[1,5,8,9,10],[2,6],[3,7],[4]]=>[[1,2,3,4,7],[5,8],[6,9],[10]]
[[1,2,3,4],[5,6],[7,8],[9,10]]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>[[1,3,5,7],[2,4,6,8],[9],[10]]
[[1,2,3,4],[5,6],[7,8],[9],[10]]=>[[1,5,7,9,10],[2,6,8],[3],[4]]=>[[1,2,3,5,7],[4,6,8],[9],[10]]
[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>[[1,2,3,4,5,7],[6,8],[9],[10]]
[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]
[[1,2,3],[4,5,6],[7,8,9],[10]]=>[[1,4,7,10],[2,5,8],[3,6,9]]=>[[1,2,5,8],[3,6,9],[4,7,10]]
[[1,2,3],[4,5,6],[7,8],[9,10]]=>[[1,4,7,9],[2,5,8,10],[3,6]]=>[[1,3,5,8],[2,4,6,9],[7,10]]
[[1,2,3],[4,5,6],[7,8],[9],[10]]=>[[1,4,7,9,10],[2,5,8],[3,6]]=>[[1,2,3,5,8],[4,6,9],[7,10]]
[[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[[1,4,7,8,9,10],[2,5],[3,6]]=>[[1,2,3,4,5,8],[6,9],[7,10]]
[[1,2,3],[4,5],[6,7],[8,9],[10]]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>[[1,2,4,6,8],[3,5,7,9],[10]]
[[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[[1,4,6,8,9,10],[2,5,7],[3]]=>[[1,2,3,4,6,8],[5,7,9],[10]]
[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>[[1,2,3,4,5,6,8],[7,9],[10]]
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>[[1,2,3,4,5,6,7,8],[9],[10]]
[[1,2],[3,4],[5,6],[7,8],[9,10]]=>[[1,3,5,7,9],[2,4,6,8,10]]=>[[1,3,5,7,9],[2,4,6,8,10]]
[[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[[1,3,5,7,9,10],[2,4,6,8]]=>[[1,2,3,5,7,9],[4,6,8,10]]
[[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[[1,3,5,7,8,9,10],[2,4,6]]=>[[1,2,3,4,5,7,9],[6,8,10]]
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[[1,3,5,6,7,8,9,10],[2,4]]=>[[1,2,3,4,5,6,7,9],[8,10]]
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[[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]]=>[[1,2,3,4,5,6,7,8,9,10]]
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]=>[[1,3,4,5,6,7,8,9,10,11],[2]]=>[[1,2,3,4,5,6,7,8,9,10],[11]]
[[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]]
[[1,2,3,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,5,7,9,11],[2,6,8,10,12],[3],[4]]=>[[1,3,5,7,9],[2,4,6,8,10],[11],[12]]
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[[1,2,3,4,5,6,7,8,9,10,11,12]]=>[[1,2,3,4,5,6,7,8,9,10,11,12]]
[[1,3,4,5,6,7,8,9],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[[1,2,5,6,7,8,9],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]
[[1,4,5,6,7,8,9],[2],[3]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]
[[1,2,3,7,8,9],[4,5,6]]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>[[1,7],[2,8],[3,9],[4],[5],[6]]
[[1,3,6,7,8,9],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>[[1,7,9],[2,8],[3],[4],[5],[6]]
[[1,5,6,7,8,9],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[[1,7,8,9],[2],[3],[4],[5],[6]]
[[1,2,3,4,9],[5,6,7,8]]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>[[1,6],[2,7],[3,8],[4,9],[5]]
[[1,3,4,8,9],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7],[8],[9]]=>[[1,6,9],[2,7],[3,8],[4],[5]]
[[1,2,7,8,9],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7],[8],[9]]=>[[1,6,8],[2,7,9],[3],[4],[5]]
[[1,4,7,8,9],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7],[8],[9]]=>[[1,6,8,9],[2,7],[3],[4],[5]]
[[1,6,7,8,9],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[[1,6,7,8,9],[2],[3],[4],[5]]
[[1,3,4,5],[2,7,8,9],[6]]=>[[1,2,6],[3,7],[4,8],[5,9]]=>[[1,5,9],[2,6],[3,7],[4,8]]
[[1,2,5,9],[3,4,8],[6,7]]=>[[1,3,6],[2,4,7],[5,8],[9]]=>[[1,5,8],[2,6,9],[3,7],[4]]
[[1,4,5,9],[2,7,8],[3],[6]]=>[[1,2,3,6],[4,7],[5,8],[9]]=>[[1,5,8,9],[2,6],[3,7],[4]]
[[1,3,8,9],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7],[8],[9]]=>[[1,5,7,9],[2,6,8],[3],[4]]
[[1,5,8,9],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7],[8],[9]]=>[[1,5,7,8,9],[2,6],[3],[4]]
[[1,7,8,9],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[[1,5,6,7,8,9],[2],[3],[4]]
[[1,3,6],[2,5,9],[4,8],[7]]=>[[1,2,4,7],[3,5,8],[6,9]]=>[[1,4,7,9],[2,5,8],[3,6]]
[[1,5,6],[2,8,9],[3],[4],[7]]=>[[1,2,3,4,7],[5,8],[6,9]]=>[[1,4,7,8,9],[2,5],[3,6]]
[[1,2,9],[3,4],[5,6],[7,8]]=>[[1,3,5,7],[2,4,6,8],[9]]=>[[1,4,6,8],[2,5,7,9],[3]]
[[1,4,9],[2,6],[3,8],[5],[7]]=>[[1,2,3,5,7],[4,6,8],[9]]=>[[1,4,6,8,9],[2,5,7],[3]]
[[1,6,9],[2,8],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,8],[9]]=>[[1,4,6,7,8,9],[2,5],[3]]
[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[[1,4,5,6,7,8,9],[2],[3]]
[[1,3],[2,5],[4,7],[6,9],[8]]=>[[1,2,4,6,8],[3,5,7,9]]=>[[1,3,5,7,9],[2,4,6,8]]
[[1,5],[2,7],[3,9],[4],[6],[8]]=>[[1,2,3,4,6,8],[5,7,9]]=>[[1,3,5,7,8,9],[2,4,6]]
[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7,9]]=>[[1,3,5,6,7,8,9],[2,4]]
[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,3,4,5,6,7,8,9],[2]]
[[1,3,4,5,6,7,8,9,10],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[[1,2,5,6,7,8,9,10],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]
[[1,4,5,6,7,8,9,10],[2],[3]]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]
[[1,2,3,7,8,9,10],[4,5,6]]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]
[[1,3,6,7,8,9,10],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]
[[1,5,6,7,8,9,10],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]
[[1,2,3,4,9,10],[5,6,7,8]]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]
[[1,3,4,8,9,10],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>[[1,7,10],[2,8],[3,9],[4],[5],[6]]
[[1,2,7,8,9,10],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>[[1,7,9],[2,8,10],[3],[4],[5],[6]]
[[1,4,7,8,9,10],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>[[1,7,9,10],[2,8],[3],[4],[5],[6]]
[[1,6,7,8,9,10],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]
[[1,3,4,5,10],[2,7,8,9],[6]]=>[[1,2,6],[3,7],[4,8],[5,9],[10]]=>[[1,6,10],[2,7],[3,8],[4,9],[5]]
[[1,2,5,9,10],[3,4,8],[6,7]]=>[[1,3,6],[2,4,7],[5,8],[9],[10]]=>[[1,6,9],[2,7,10],[3,8],[4],[5]]
[[1,4,5,9,10],[2,7,8],[3],[6]]=>[[1,2,3,6],[4,7],[5,8],[9],[10]]=>[[1,6,9,10],[2,7],[3,8],[4],[5]]
[[1,3,8,9,10],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]=>[[1,6,8,10],[2,7,9],[3],[4],[5]]
[[1,5,8,9,10],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7],[8],[9],[10]]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]
[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]
[[1,2,5,6],[3,4,9,10],[7,8]]=>[[1,3,7],[2,4,8],[5,9],[6,10]]=>[[1,5,9],[2,6,10],[3,7],[4,8]]
[[1,4,5,6],[2,8,9,10],[3],[7]]=>[[1,2,3,7],[4,8],[5,9],[6,10]]=>[[1,5,9,10],[2,6],[3,7],[4,8]]
[[1,2,3,10],[4,5,6],[7,8,9]]=>[[1,4,7],[2,5,8],[3,6,9],[10]]=>[[1,5,8],[2,6,9],[3,7,10],[4]]
[[1,3,6,10],[2,5,9],[4,8],[7]]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>[[1,5,8,10],[2,6,9],[3,7],[4]]
[[1,5,6,10],[2,8,9],[3],[4],[7]]=>[[1,2,3,4,7],[5,8],[6,9],[10]]=>[[1,5,8,9,10],[2,6],[3,7],[4]]
[[1,2,9,10],[3,4],[5,6],[7,8]]=>[[1,3,5,7],[2,4,6,8],[9],[10]]=>[[1,5,7,9],[2,6,8,10],[3],[4]]
[[1,4,9,10],[2,6],[3,8],[5],[7]]=>[[1,2,3,5,7],[4,6,8],[9],[10]]=>[[1,5,7,9,10],[2,6,8],[3],[4]]
[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,8],[9],[10]]=>[[1,5,7,8,9,10],[2,6],[3],[4]]
[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[[1,5,6,7,8,9,10],[2],[3],[4]]
[[1,3,4],[2,6,7],[5,9,10],[8]]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>[[1,4,7,10],[2,5,8],[3,6,9]]
[[1,2,7],[3,4,10],[5,6],[8,9]]=>[[1,3,5,8],[2,4,6,9],[7,10]]=>[[1,4,7,9],[2,5,8,10],[3,6]]
[[1,4,7],[2,6,10],[3,9],[5],[8]]=>[[1,2,3,5,8],[4,6,9],[7,10]]=>[[1,4,7,9,10],[2,5,8],[3,6]]
[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[[1,2,3,4,5,8],[6,9],[7,10]]=>[[1,4,7,8,9,10],[2,5],[3,6]]
[[1,3,10],[2,5],[4,7],[6,9],[8]]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>[[1,4,6,8,10],[2,5,7,9],[3]]
[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>[[1,4,6,8,9,10],[2,5,7],[3]]
[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>[[1,4,6,7,8,9,10],[2,5],[3]]
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[[1,4,5,6,7,8,9,10],[2],[3]]
[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[[1,2,3,5,7,9],[4,6,8,10]]=>[[1,3,5,7,9,10],[2,4,6,8]]
[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[[1,2,3,4,5,7,9],[6,8,10]]=>[[1,3,5,7,8,9,10],[2,4,6]]
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[[1,2,3,4,5,6,7,9],[8,10]]=>[[1,3,5,6,7,8,9,10],[2,4]]
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,3,4,5,6,7,8,9,10],[2]]
[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6,7,8,9,10],[11]]=>[[1,3,4,5,6,7,8,9,10,11],[2]]
[[1,10],[2,12],[3],[4],[5],[6],[7],[8],[9],[11]]=>[[1,2,3,4,5,6,7,8,9,11],[10,12]]=>[[1,3,5,6,7,8,9,10,11,12],[2,4]]
[[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]=>[[1,2,4,7,11],[3,5,8,12],[6,9,13],[10,14],[15]]=>[[1,6,10,13,15],[2,7,11,14],[3,8,12],[4,9],[5]]
[[1,6],[2,7],[3,8],[4,9],[5]]=>[[1,2,3,4,5],[6,7,8,9]]=>[[1,2,3,4,9],[5,6,7,8]]
[[1,6,8,9],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7],[8],[9]]=>[[1,4,7,8,9],[2,6],[3],[5]]
[[1,5,9],[2,6],[3,7],[4,8]]=>[[1,2,3,4],[5,6,7,8],[9]]=>[[1,3,4,5],[2,7,8,9],[6]]
[[1,5,8,9],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7],[8],[9]]=>[[1,4,5,9],[2,7,8],[3],[6]]
[[1,5,7,8,9],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>[[1,5,8,9],[2,7],[3],[4],[6]]
[[1,4,7],[2,5,8],[3,6,9]]=>[[1,2,3],[4,5,6],[7,8,9]]=>[[1,2,3],[4,5,6],[7,8,9]]
[[1,4,7,8,9],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7],[8],[9]]=>[[1,5,6],[2,8,9],[3],[4],[7]]
[[1,4,6,8],[2,5,7,9],[3]]=>[[1,2,3],[4,5],[6,7],[8,9]]=>[[1,2,9],[3,4],[5,6],[7,8]]
[[1,4,6,7,8,9],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7],[8],[9]]=>[[1,6,9],[2,8],[3],[4],[5],[7]]
[[1,3,5,7,9],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[[1,3],[2,5],[4,7],[6,9],[8]]
[[1,3,5,7,8,9],[2,4,6]]=>[[1,2],[3,4],[5,6],[7],[8],[9]]=>[[1,5],[2,7],[3,9],[4],[6],[8]]
[[1,3,5,6,7,8,9],[2,4]]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[[1,2,5,6,7,8,9,10],[3,4]]
[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>[[1,2,3,4,5,6],[7,8,9,10]]=>[[1,2,3,4,9,10],[5,6,7,8]]
[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7,8],[9,10]]=>[[1,2,7,8,9,10],[3,4],[5,6]]
[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>[[1,4,7,8,9,10],[2,6],[3],[5]]
[[1,6],[2,7],[3,8],[4,9],[5,10]]=>[[1,2,3,4,5],[6,7,8,9,10]]=>[[1,2,3,4,5],[6,7,8,9,10]]
[[1,6,9,10],[2,7],[3,8],[4],[5]]=>[[1,2,3,4,5],[6,7,8],[9],[10]]=>[[1,4,5,9,10],[2,7,8],[3],[6]]
[[1,6,8,9,10],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]
[[1,5,9],[2,6,10],[3,7],[4,8]]=>[[1,2,3,4],[5,6,7,8],[9,10]]=>[[1,2,5,6],[3,4,9,10],[7,8]]
[[1,5,9,10],[2,6],[3,7],[4,8]]=>[[1,2,3,4],[5,6,7,8],[9],[10]]=>[[1,4,5,6],[2,8,9,10],[3],[7]]
[[1,5,8],[2,6,9],[3,7,10],[4]]=>[[1,2,3,4],[5,6,7],[8,9,10]]=>[[1,2,3,10],[4,5,6],[7,8,9]]
[[1,5,8,9,10],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7],[8],[9],[10]]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]
[[1,5,7,9],[2,6,8,10],[3],[4]]=>[[1,2,3,4],[5,6],[7,8],[9,10]]=>[[1,2,9,10],[3,4],[5,6],[7,8]]
[[1,5,7,9,10],[2,6,8],[3],[4]]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]
[[1,5,7,8,9,10],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]
[[1,4,7,10],[2,5,8],[3,6,9]]=>[[1,2,3],[4,5,6],[7,8,9],[10]]=>[[1,3,4],[2,6,7],[5,9,10],[8]]
[[1,4,7,8,9,10],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]
[[1,4,6,8,10],[2,5,7,9],[3]]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]
[[1,4,6,8,9,10],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[[1,5,10],[2,7],[3,9],[4],[6],[8]]
[[1,4,6,7,8,9,10],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]
[[1,3,5,7,9,10],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]
[[1,3,5,7,8,9,10],[2,4,6]]=>[[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]
[[1,3,5,6,7,8,9,10],[2,4]]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]
[[1,2,4],[3,5],[6],[7],[8],[9]]=>[[1,3,6,7,8,9],[2,5],[4]]=>[[1,2,3,4,5,6],[7,8],[9]]
[[1,2,5],[3,6],[4,7],[8],[9]]=>[[1,3,4,8,9],[2,6,7],[5]]=>[[1,2,3,4,5],[6,7,8],[9]]
[[1,2,3,5],[4,6],[7],[8],[9]]=>[[1,4,7,8,9],[2,6],[3],[5]]=>[[1,2,3,4,5],[6,7],[8],[9]]
[[1,2,6],[3,7],[4,8],[5,9]]=>[[1,3,4,5],[2,7,8,9],[6]]=>[[1,2,3,4],[5,6,7,8],[9]]
[[1,2,3,6],[4,7],[5,8],[9]]=>[[1,4,5,9],[2,7,8],[3],[6]]=>[[1,2,3,4],[5,6,7],[8],[9]]
[[1,2,4,6],[3,5,7],[8],[9]]=>[[1,3,8,9],[2,5],[4,7],[6]]=>[[1,2,3,4],[5,6],[7,8],[9]]
[[1,2,3,4,6],[5,7],[8],[9]]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>[[1,2,3,4],[5,6],[7],[8],[9]]
[[1,2,4,7],[3,5,8],[6,9]]=>[[1,3,6],[2,5,9],[4,8],[7]]=>[[1,2,3],[4,5,6],[7,8],[9]]
[[1,2,3,4,7],[5,8],[6,9]]=>[[1,5,6],[2,8,9],[3],[4],[7]]=>[[1,2,3],[4,5,6],[7],[8],[9]]
[[1,2,3,5,7],[4,6,8],[9]]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>[[1,2,3],[4,5],[6,7],[8],[9]]
[[1,2,3,4,5,7],[6,8],[9]]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>[[1,2,3],[4,5],[6],[7],[8],[9]]
[[1,2,4,6,8],[3,5,7,9]]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]
[[1,2,3,4,6,8],[5,7,9]]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>[[1,2],[3,4],[5,6],[7],[8],[9]]
[[1,2,3,4,5,6,8],[7,9]]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]
[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[[1,2,3,4,5,6,7,8],[9,10]]
[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>[[1,2,3,4,5,6,7],[8,9],[10]]
[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[[1,2,3,4,9,10],[5,6,7,8]]=>[[1,2,3,4,5,6],[7,8,9,10]]
[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>[[1,2,3,4,5,6],[7,8,9],[10]]
[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>[[1,2,3,4,5,6],[7,8],[9,10]]
[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>[[1,4,7,8,9,10],[2,6],[3],[5]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]
[[1,2,6],[3,7],[4,8],[5,9],[10]]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>[[1,2,3,4,5],[6,7,8,9],[10]]
[[1,2,3,6],[4,7],[5,8],[9],[10]]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>[[1,2,3,4,5],[6,7,8],[9],[10]]
[[1,2,4,6],[3,5,7],[8],[9],[10]]=>[[1,3,8,9,10],[2,5],[4,7],[6]]=>[[1,2,3,4,5],[6,7],[8,9],[10]]
[[1,2,3,4,6],[5,7],[8],[9],[10]]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]
[[1,3,7],[2,4,8],[5,9],[6,10]]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>[[1,2,3,4],[5,6,7,8],[9,10]]
[[1,2,3,7],[4,8],[5,9],[6,10]]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>[[1,2,3,4],[5,6,7,8],[9],[10]]
[[1,2,4,7],[3,5,8],[6,9],[10]]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>[[1,2,3,4],[5,6,7],[8,9],[10]]
[[1,2,3,4,7],[5,8],[6,9],[10]]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]=>[[1,2,3,4],[5,6,7],[8],[9],[10]]
[[1,3,5,7],[2,4,6,8],[9],[10]]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>[[1,2,3,4],[5,6],[7,8],[9,10]]
[[1,2,3,5,7],[4,6,8],[9],[10]]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]
[[1,2,3,4,5,7],[6,8],[9],[10]]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[[1,2,3,4],[5,6],[7],[8],[9],[10]]
[[1,2,5,8],[3,6,9],[4,7,10]]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>[[1,2,3],[4,5,6],[7,8,9],[10]]
[[1,2,3,5,8],[4,6,9],[7,10]]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>[[1,2,3],[4,5,6],[7,8],[9],[10]]
[[1,2,3,4,5,8],[6,9],[7,10]]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[[1,2,3],[4,5,6],[7],[8],[9],[10]]
[[1,2,4,6,8],[3,5,7,9],[10]]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]
[[1,2,3,4,6,8],[5,7,9],[10]]=>[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>[[1,2,3],[4,5],[6,7],[8],[9],[10]]
[[1,2,3,4,5,6,8],[7,9],[10]]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>[[1,2,3],[4,5],[6],[7],[8],[9],[10]]
[[1,2,3,5,7,9],[4,6,8,10]]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[[1,2],[3,4],[5,6],[7,8],[9],[10]]
[[1,2,3,4,5,7,9],[6,8,10]]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[[1,2],[3,4],[5,6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,7,9],[8,10]]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]
[[1,4],[2,6],[3,8],[5,9],[7,10]]=>[[1,2,3,5,7],[4,6,8,9,10]]=>[[1,2,3,5,7],[4,6,8,9,10]]
[[1,4],[2,7],[3,8],[5,9],[6,10]]=>[[1,2,3,5,6],[4,7,8,9,10]]=>[[1,2,3,4,7],[5,6,8,9,10]]
[[1,5],[2,6],[3,8],[4,9],[7,10]]=>[[1,2,3,4,7],[5,6,8,9,10]]=>[[1,2,3,5,6],[4,7,8,9,10]]
[[1,5],[2,7],[3,8],[4,9],[6,10]]=>[[1,2,3,4,6],[5,7,8,9,10]]=>[[1,2,3,4,6],[5,7,8,9,10]]
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]
[[1,2,3,4,5,6,7,9],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]
[[1,2,3,4,5,6,9],[7],[8]]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]
[[1,2,3,4,5,9],[6],[7],[8]]=>[[1,6,7,8],[2],[3],[4],[5],[9]]=>[[1,3,4,5],[2],[6],[7],[8],[9]]
[[1,2,3,4,9],[5,6,7],[8]]=>[[1,5,8],[2,6],[3,7],[4],[9]]=>[[1,3,6],[2,7],[4,8],[5],[9]]
[[1,2,3,4,9],[5,6],[7,8]]=>[[1,5,7],[2,6,8],[3],[4],[9]]=>[[1,4,6],[2,5,7],[3],[8],[9]]
[[1,2,3,4,9],[5,6],[7],[8]]=>[[1,5,7,8],[2,6],[3],[4],[9]]=>[[1,3,4,6],[2,7],[5],[8],[9]]
[[1,2,3,4,9],[5],[6],[7],[8]]=>[[1,5,6,7,8],[2],[3],[4],[9]]=>[[1,3,4,5,6],[2],[7],[8],[9]]
[[1,2,3,9],[4,5,6],[7,8]]=>[[1,4,7],[2,5,8],[3,6],[9]]=>[[1,4,7],[2,5,8],[3,9],[6]]
[[1,2,3,9],[4],[5],[6],[7],[8]]=>[[1,4,5,6,7,8],[2],[3],[9]]=>[[1,3,4,5,6,7],[2],[8],[9]]
[[1,2,9],[3,4],[5,6],[7],[8]]=>[[1,3,5,7,8],[2,4,6],[9]]=>[[1,3,4,6,8],[2,7,9],[5]]
[[1,2,9],[3,4],[5],[6],[7],[8]]=>[[1,3,5,6,7,8],[2,4],[9]]=>[[1,3,4,5,6,8],[2,9],[7]]
[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2],[9]]=>[[1,3,4,5,6,7,8],[2],[9]]
[[1,3],[2,9],[4],[5],[6],[7],[8]]=>[[1,2,4,5,6,7,8],[3,9]]=>[[1,3,4,5,6,7,9],[2,8]]
[[1,2,3,4,5,6,7,8,10],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,7,10],[8],[9]]=>[[1,8,9],[2],[3],[4],[5],[6],[7],[10]]=>[[1,3,4],[2],[5],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,10],[7,8,9]]=>[[1,7],[2,8],[3,9],[4],[5],[6],[10]]=>[[1,5],[2,6],[3,7],[4],[8],[9],[10]]
[[1,2,3,4,5,6,10],[7,8],[9]]=>[[1,7,9],[2,8],[3],[4],[5],[6],[10]]=>[[1,3,5],[2,6],[4],[7],[8],[9],[10]]
[[1,2,3,4,5,6,10],[7],[8],[9]]=>[[1,7,8,9],[2],[3],[4],[5],[6],[10]]=>[[1,3,4,5],[2],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,10],[6,7,8],[9]]=>[[1,6,9],[2,7],[3,8],[4],[5],[10]]=>[[1,3,6],[2,7],[4,8],[5],[9],[10]]
[[1,2,3,4,5,10],[6],[7],[8],[9]]=>[[1,6,7,8,9],[2],[3],[4],[5],[10]]=>[[1,3,4,5,6],[2],[7],[8],[9],[10]]
[[1,2,3,4,10],[5,6,7],[8,9]]=>[[1,5,8],[2,6,9],[3,7],[4],[10]]=>[[1,4,7],[2,5,8],[3,9],[6],[10]]
[[1,2,3,4,10],[5,6],[7],[8],[9]]=>[[1,5,7,8,9],[2,6],[3],[4],[10]]=>[[1,3,4,5,7],[2,8],[6],[9],[10]]
[[1,2,3,4,10],[5],[6],[7],[8],[9]]=>[[1,5,6,7,8,9],[2],[3],[4],[10]]=>[[1,3,4,5,6,7],[2],[8],[9],[10]]
[[1,2,3,10],[4],[5],[6],[7],[8],[9]]=>[[1,4,5,6,7,8,9],[2],[3],[10]]=>[[1,3,4,5,6,7,8],[2],[9],[10]]
[[1,2,10],[3,4],[5],[6],[7],[8],[9]]=>[[1,3,5,6,7,8,9],[2,4],[10]]=>[[1,3,4,5,6,7,9],[2,10],[8]]
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[[1,3,4,5,6,7,8,9],[2],[10]]=>[[1,3,4,5,6,7,8,9],[2],[10]]
[[1,3],[2,10],[4],[5],[6],[7],[8],[9]]=>[[1,2,4,5,6,7,8,9],[3,10]]=>[[1,3,4,5,6,7,8,10],[2,9]]
[]=>[]=>[]
[[1,2,4,5,6,7,8,9],[3]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]
[[1,3,4,6,7,8,9],[2,5]]=>[[1,2],[3,5],[4],[6],[7],[8],[9]]=>[[1,6],[2,9],[3],[4],[5],[7],[8]]
[[1,3,5,6,7,8,9],[2],[4]]=>[[1,2,4],[3],[5],[6],[7],[8],[9]]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]
[[1,3,5,6,8,9],[2,4,7]]=>[[1,2],[3,4],[5,7],[6],[8],[9]]=>[[1,4],[2,7],[3,9],[5],[6],[8]]
[[1,2,4,7,8,9],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7],[8],[9]]=>[[1,5,6],[2,8],[3],[4],[7],[9]]
[[1,4,6,7,8,9],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7],[8],[9]]=>[[1,6,8,9],[2],[3],[4],[5],[7]]
[[1,3,5,7,8],[2,4,6,9]]=>[[1,2],[3,4],[5,6],[7,9],[8]]=>[[1,2],[3,5],[4,7],[6,9],[8]]
[[1,2,5,7,9],[3,6,8],[4]]=>[[1,3,4],[2,6],[5,8],[7],[9]]=>[[1,3,8],[2,5],[4,7],[6],[9]]
[[1,4,6,8,9],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6],[8],[9]]=>[[1,4,6],[2,8,9],[3],[5],[7]]
[[1,3,5,8,9],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5],[8],[9]]=>[[1,4,5,9],[2,7],[3],[6],[8]]
[[1,5,7,8,9],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7],[8],[9]]=>[[1,5,7,8,9],[2],[3],[4],[6]]
[[1,2,5,6],[3,7,8,9],[4]]=>[[1,3,4],[2,7],[5,8],[6,9]]=>[[1,4,8],[2,5],[3,7],[6,9]]
[[1,3,4,7],[2,6,8],[5,9]]=>[[1,2,5],[3,6,9],[4,8],[7]]=>[[1,2,3],[4,6,9],[5,7],[8]]
[[1,3,6,8],[2,7,9],[4],[5]]=>[[1,2,4,5],[3,7],[6,9],[8]]=>[[1,2,7,9],[3,4],[5,6],[8]]
[[1,2,6,9],[3,4],[5,7],[8]]=>[[1,3,5,8],[2,4,7],[6],[9]]=>[[1,3,4,8],[2,6,9],[5],[7]]
[[1,4,6,9],[2,7],[3],[5],[8]]=>[[1,2,3,5,8],[4,7],[6],[9]]=>[[1,3,4,8,9],[2,6],[5],[7]]
[[1,6,8,9],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6],[8],[9]]=>[[1,4,6,7,8,9],[2],[3],[5]]
[[1,2,4],[3,5,7],[6,8],[9]]=>[[1,3,6,9],[2,5,8],[4,7]]=>[[1,2,3,6],[4,5,8],[7,9]]
[[1,4,7],[2,8,9],[3],[5],[6]]=>[[1,2,3,5,6],[4,8],[7,9]]=>[[1,3,6,8,9],[2,5],[4,7]]
[[1,5,8],[2,6],[3,7],[4,9]]=>[[1,2,3,4],[5,6,7,9],[8]]=>[[1,2,4,5],[3,7,8,9],[6]]
[[1,3,7],[2,5],[4,8],[6],[9]]=>[[1,2,4,6,9],[3,5,8],[7]]=>[[1,2,3,7,9],[4,5,8],[6]]
[[1,5,7],[2,8],[3],[4],[6],[9]]=>[[1,2,3,4,6,9],[5,8],[7]]=>[[1,2,3,7,8,9],[4,5],[6]]
[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7],[9]]=>[[1,3,5,6,7,8,9],[2],[4]]
[[1,4],[2,6],[3,8],[5],[7],[9]]=>[[1,2,3,5,7,9],[4,6,8]]=>[[1,2,4,6,8,9],[3,5,7]]
[[1,6],[2,8],[3],[4],[5],[7],[9]]=>[[1,2,3,4,5,7,9],[6,8]]=>[[1,2,4,6,7,8,9],[3,5]]
[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[[1,2,3,4,5,6,7,9],[8]]=>[[1,2,4,5,6,7,8,9],[3]]
[[1,2,4,5,6,7,8,9,10],[3]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]
[[1,3,4,6,7,8,9,10],[2,5]]=>[[1,2],[3,5],[4],[6],[7],[8],[9],[10]]=>[[1,7],[2,10],[3],[4],[5],[6],[8],[9]]
[[1,3,5,6,7,8,9,10],[2],[4]]=>[[1,2,4],[3],[5],[6],[7],[8],[9],[10]]=>[[1,8,10],[2],[3],[4],[5],[6],[7],[9]]
[[1,3,5,6,8,9,10],[2,4,7]]=>[[1,2],[3,4],[5,7],[6],[8],[9],[10]]=>[[1,5],[2,8],[3,10],[4],[6],[7],[9]]
[[1,2,4,7,8,9,10],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7],[8],[9],[10]]=>[[1,6,7],[2,9],[3],[4],[5],[8],[10]]
[[1,4,6,7,8,9,10],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7],[8],[9],[10]]=>[[1,7,9,10],[2],[3],[4],[5],[6],[8]]
[[1,3,5,7,8,10],[2,4,6,9]]=>[[1,2],[3,4],[5,6],[7,9],[8],[10]]=>[[1,3],[2,6],[4,8],[5,10],[7],[9]]
[[1,2,5,7,9,10],[3,6,8],[4]]=>[[1,3,4],[2,6],[5,8],[7],[9],[10]]=>[[1,4,9],[2,6],[3,8],[5],[7],[10]]
[[1,4,6,8,9,10],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6],[8],[9],[10]]=>[[1,5,7],[2,9,10],[3],[4],[6],[8]]
[[1,3,5,8,9,10],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5],[8],[9],[10]]=>[[1,5,6,10],[2,8],[3],[4],[7],[9]]
[[1,5,7,8,9,10],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7],[8],[9],[10]]=>[[1,6,8,9,10],[2],[3],[4],[5],[7]]
[[1,2,5,6,9],[3,7,8,10],[4]]=>[[1,3,4],[2,7],[5,8],[6,10],[9]]=>[[1,2,9],[3,5],[4,6],[7,8],[10]]
[[1,3,4,7,10],[2,6,8],[5,9]]=>[[1,2,5],[3,6,9],[4,8],[7],[10]]=>[[1,3,4],[2,7,10],[5,8],[6],[9]]
[[1,3,6,8,10],[2,7,9],[4],[5]]=>[[1,2,4,5],[3,7],[6,9],[8],[10]]=>[[1,3,8,10],[2,5],[4,7],[6],[9]]
[[1,2,6,9,10],[3,4],[5,7],[8]]=>[[1,3,5,8],[2,4,7],[6],[9],[10]]=>[[1,4,5,9],[2,7,10],[3],[6],[8]]
[[1,4,6,9,10],[2,7],[3],[5],[8]]=>[[1,2,3,5,8],[4,7],[6],[9],[10]]=>[[1,4,5,9,10],[2,7],[3],[6],[8]]
[[1,6,8,9,10],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6],[8],[9],[10]]=>[[1,5,7,8,9,10],[2],[3],[4],[6]]
[[1,3,4,8],[2,6,9,10],[5,7]]=>[[1,2,5],[3,6,7],[4,9],[8,10]]=>[[1,3,7],[2,5,10],[4,8],[6,9]]
[[1,3,6,7],[2,8,9,10],[4],[5]]=>[[1,2,4,5],[3,8],[6,9],[7,10]]=>[[1,4,8,10],[2,5],[3,7],[6,9]]
[[1,4,7,9],[2,5,8],[3,6,10]]=>[[1,2,3],[4,5,6],[7,8,10],[9]]=>[[1,2,4],[3,6,7],[5,9,10],[8]]
[[1,4,7,9],[2,8,10],[3],[5],[6]]=>[[1,2,3,5,6],[4,8],[7,10],[9]]=>[[1,2,7,9,10],[3,4],[5,6],[8]]
[[1,5,8,10],[2,6],[3,7],[4,9]]=>[[1,2,3,4],[5,6,7,9],[8],[10]]=>[[1,3,5,6],[2,8,9,10],[4],[7]]
[[1,3,7,10],[2,5],[4,8],[6],[9]]=>[[1,2,4,6,9],[3,5,8],[7],[10]]=>[[1,3,4,8,10],[2,6,9],[5],[7]]
[[1,5,7,10],[2,8],[3],[4],[6],[9]]=>[[1,2,3,4,6,9],[5,8],[7],[10]]=>[[1,3,4,8,9,10],[2,6],[5],[7]]
[[1,7,9,10],[2],[3],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7],[9],[10]]=>[[1,4,6,7,8,9,10],[2],[3],[5]]
[[1,2,5],[3,7,8],[4,9,10],[6]]=>[[1,3,4,6],[2,7,9],[5,8,10]]=>[[1,3,6,9],[2,4,8],[5,7,10]]
[[1,4,6],[2,5,9],[3,8],[7,10]]=>[[1,2,3,7],[4,5,8,10],[6,9]]=>[[1,2,5,7],[3,6,9,10],[4,8]]
[[1,3,5],[2,6,8],[4,9],[7],[10]]=>[[1,2,4,7,10],[3,6,9],[5,8]]=>[[1,2,3,6,10],[4,5,8],[7,9]]
[[1,5,8],[2,9,10],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5,9],[8,10]]=>[[1,3,6,8,9,10],[2,5],[4,7]]
[[1,2,8],[3,4],[5,6],[7,9],[10]]=>[[1,3,5,7,10],[2,4,6,9],[8]]=>[[1,2,3,7,9],[4,5,8,10],[6]]
[[1,4,8],[2,6],[3,9],[5],[7],[10]]=>[[1,2,3,5,7,10],[4,6,9],[8]]=>[[1,2,3,7,9,10],[4,5,8],[6]]
[[1,6,8],[2,9],[3],[4],[5],[7],[10]]=>[[1,2,3,4,5,7,10],[6,9],[8]]=>[[1,2,3,7,8,9,10],[4,5],[6]]
[[1,8,10],[2],[3],[4],[5],[6],[7],[9]]=>[[1,2,3,4,5,6,7,9],[8],[10]]=>[[1,3,5,6,7,8,9,10],[2],[4]]
[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[[1,2,4,6,8,10],[3,5,7,9]]=>[[1,2,4,6,8,10],[3,5,7,9]]
[[1,5],[2,7],[3,9],[4],[6],[8],[10]]=>[[1,2,3,4,6,8,10],[5,7,9]]=>[[1,2,4,6,8,9,10],[3,5,7]]
[[1,7],[2,9],[3],[4],[5],[6],[8],[10]]=>[[1,2,3,4,5,6,8,10],[7,9]]=>[[1,2,4,6,7,8,9,10],[3,5]]
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[[1,2,3,4,5,6,7,8,10],[9]]=>[[1,2,4,5,6,7,8,9,10],[3]]
[[1,3,4,5,6,7,8],[2,9]]=>[[1,2],[3,9],[4],[5],[6],[7],[8]]=>[[1,2],[3,9],[4],[5],[6],[7],[8]]
[[1,3,4,5,6,7,8],[2],[9]]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]
[[1,3,4],[2,6,7],[5,8,9]]=>[[1,2,5],[3,6,8],[4,7,9]]=>[[1,3,6],[2,4,7],[5,8,9]]
[[1,3,4],[2,6,7],[5,9],[8]]=>[[1,2,5,8],[3,6,9],[4,7]]=>[[1,3,6,9],[2,4,7],[5,8]]
[[1,3,4],[2,6],[5,8],[7],[9]]=>[[1,2,5,7,9],[3,6,8],[4]]=>[[1,2,4,6,9],[3,5,7],[8]]
[[1,3],[2,5],[4,7],[6],[8],[9]]=>[[1,2,4,6,8,9],[3,5,7]]=>[[1,2,3,5,7,9],[4,6,8]]
[[1,3,4,5,6,7,8,9],[2,10]]=>[[1,2],[3,10],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3,10],[4],[5],[6],[7],[8],[9]]
[[1,3,4,5,6,7,8,9],[2],[10]]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]
[[1,3,4,5],[2,7,8],[6,10],[9]]=>[[1,2,6,9],[3,7,10],[4,8],[5]]=>[[1,3,6,10],[2,4,7],[5,8],[9]]
[[1,3],[2,5],[4,7],[6],[8],[9],[10]]=>[[1,2,4,6,8,9,10],[3,5,7]]=>[[1,2,3,4,6,8,10],[5,7,9]]
[[1,3],[2,5],[4],[6],[7],[8],[9],[10]]=>[[1,2,4,6,7,8,9,10],[3,5]]=>[[1,2,3,4,5,6,8,10],[7,9]]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,4,5,6,7,8,9,10],[3]]=>[[1,2,3,4,5,6,7,8,10],[9]]
[[1,2,4,6,8,10],[3,5,7,9]]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[[1,3],[2,5],[4,7],[6,9],[8],[10]]
[[1,2,4,6,8,9,10],[3,5,7]]=>[[1,3],[2,5],[4,7],[6],[8],[9],[10]]=>[[1,5],[2,7],[3,9],[4],[6],[8],[10]]
[[1,2,4,6,7,8,10],[3,5,9]]=>[[1,3],[2,5],[4,9],[6],[7],[8],[10]]=>[[1,3],[2,7],[4,9],[5],[6],[8],[10]]
[[1,2,4,6,7,9,10],[3,5,8]]=>[[1,3],[2,5],[4,8],[6],[7],[9],[10]]=>[[1,4],[2,7],[3,9],[5],[6],[8],[10]]
[[1,2,4,6,7,8,9,10],[3,5]]=>[[1,3],[2,5],[4],[6],[7],[8],[9],[10]]=>[[1,7],[2,9],[3],[4],[5],[6],[8],[10]]
[[1,2,4,5,6,8,10],[3,7,9]]=>[[1,3],[2,7],[4,9],[5],[6],[8],[10]]=>[[1,3],[2,5],[4,9],[6],[7],[8],[10]]
[[1,2,4,5,6,9,10],[3,7,8]]=>[[1,3],[2,7],[4,8],[5],[6],[9],[10]]=>[[1,5],[2,6],[3,9],[4],[7],[8],[10]]
[[1,2,4,5,7,8,10],[3,6,9]]=>[[1,3],[2,6],[4,9],[5],[7],[8],[10]]=>[[1,3],[2,6],[4,9],[5],[7],[8],[10]]
[[1,2,4,5,7,9,10],[3,6,8]]=>[[1,3],[2,6],[4,8],[5],[7],[9],[10]]=>[[1,4],[2,6],[3,9],[5],[7],[8],[10]]
[[1,2,4,5,7,8,9,10],[3,6]]=>[[1,3],[2,6],[4],[5],[7],[8],[9],[10]]=>[[1,6],[2,9],[3],[4],[5],[7],[8],[10]]
[[1,2,4,5,6,7,8,10],[3,9]]=>[[1,3],[2,9],[4],[5],[6],[7],[8],[10]]=>[[1,3],[2,9],[4],[5],[6],[7],[8],[10]]
[[1,2,4,5,6,7,9,10],[3,8]]=>[[1,3],[2,8],[4],[5],[6],[7],[9],[10]]=>[[1,4],[2,9],[3],[5],[6],[7],[8],[10]]
[[1,2,4,5,6,8,9,10],[3,7]]=>[[1,3],[2,7],[4],[5],[6],[8],[9],[10]]=>[[1,5],[2,9],[3],[4],[6],[7],[8],[10]]
[[1,2,3,4,6,8,10],[5,7,9]]=>[[1,5],[2,7],[3,9],[4],[6],[8],[10]]=>[[1,3],[2,5],[4,7],[6],[8],[9],[10]]
[[1,2,3,4,6,9,10],[5,7,8]]=>[[1,5],[2,7],[3,8],[4],[6],[9],[10]]=>[[1,5],[2,7],[3,8],[4],[6],[9],[10]]
[[1,2,3,4,7,8,10],[5,6,9]]=>[[1,5],[2,6],[3,9],[4],[7],[8],[10]]=>[[1,3],[2,7],[4,8],[5],[6],[9],[10]]
[[1,2,3,4,7,9,10],[5,6,8]]=>[[1,5],[2,6],[3,8],[4],[7],[9],[10]]=>[[1,4],[2,7],[3,8],[5],[6],[9],[10]]
[[1,2,3,4,7,8,9,10],[5,6]]=>[[1,5],[2,6],[3],[4],[7],[8],[9],[10]]=>[[1,7],[2,8],[3],[4],[5],[6],[9],[10]]
[[1,2,3,5,6,8,10],[4,7,9]]=>[[1,4],[2,7],[3,9],[5],[6],[8],[10]]=>[[1,3],[2,5],[4,8],[6],[7],[9],[10]]
[[1,2,3,5,6,9,10],[4,7,8]]=>[[1,4],[2,7],[3,8],[5],[6],[9],[10]]=>[[1,5],[2,6],[3,8],[4],[7],[9],[10]]
[[1,2,3,5,7,8,10],[4,6,9]]=>[[1,4],[2,6],[3,9],[5],[7],[8],[10]]=>[[1,3],[2,6],[4,8],[5],[7],[9],[10]]
[[1,2,3,5,7,9,10],[4,6,8]]=>[[1,4],[2,6],[3,8],[5],[7],[9],[10]]=>[[1,4],[2,6],[3,8],[5],[7],[9],[10]]
[[1,2,3,5,7,8,9,10],[4,6]]=>[[1,4],[2,6],[3],[5],[7],[8],[9],[10]]=>[[1,6],[2,8],[3],[4],[5],[7],[9],[10]]
[[1,2,3,5,6,7,8,10],[4,9]]=>[[1,4],[2,9],[3],[5],[6],[7],[8],[10]]=>[[1,3],[2,8],[4],[5],[6],[7],[9],[10]]
[[1,2,3,5,6,7,9,10],[4,8]]=>[[1,4],[2,8],[3],[5],[6],[7],[9],[10]]=>[[1,4],[2,8],[3],[5],[6],[7],[9],[10]]
[[1,2,3,5,6,8,9,10],[4,7]]=>[[1,4],[2,7],[3],[5],[6],[8],[9],[10]]=>[[1,5],[2,8],[3],[4],[6],[7],[9],[10]]
[[1,2,3,5,6,7,8,9,10],[4]]=>[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]
[[1,2,3,4,5,6,8,10],[7,9]]=>[[1,7],[2,9],[3],[4],[5],[6],[8],[10]]=>[[1,3],[2,5],[4],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,9,10],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6],[9],[10]]=>[[1,5],[2,6],[3],[4],[7],[8],[9],[10]]
[[1,2,3,4,5,7,8,10],[6,9]]=>[[1,6],[2,9],[3],[4],[5],[7],[8],[10]]=>[[1,3],[2,6],[4],[5],[7],[8],[9],[10]]
[[1,2,3,4,5,7,9,10],[6,8]]=>[[1,6],[2,8],[3],[4],[5],[7],[9],[10]]=>[[1,4],[2,6],[3],[5],[7],[8],[9],[10]]
[[1,2,3,4,5,8,9,10],[6,7]]=>[[1,6],[2,7],[3],[4],[5],[8],[9],[10]]=>[[1,6],[2,7],[3],[4],[5],[8],[9],[10]]
[[1,2,3,4,6,7,8,10],[5,9]]=>[[1,5],[2,9],[3],[4],[6],[7],[8],[10]]=>[[1,3],[2,7],[4],[5],[6],[8],[9],[10]]
[[1,2,3,4,6,7,9,10],[5,8]]=>[[1,5],[2,8],[3],[4],[6],[7],[9],[10]]=>[[1,4],[2,7],[3],[5],[6],[8],[9],[10]]
[[1,2,3,4,6,8,9,10],[5,7]]=>[[1,5],[2,7],[3],[4],[6],[8],[9],[10]]=>[[1,5],[2,7],[3],[4],[6],[8],[9],[10]]
[[1,2,3,4,6,7,8,9,10],[5]]=>[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]
[[1,2,3,4,5,6,7,9,10],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,6,8,9,10],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]
[[1,2,3,4,5,7,8,9,10],[6]]=>[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]
[[1,2,4,6,8,10,12],[3,5,7,9,11]]=>[[1,3],[2,5],[4,7],[6,9],[8,11],[10],[12]]=>[[1,3],[2,5],[4,7],[6,9],[8,11],[10],[12]]
[[1,2,4,6,8,10,11,12],[3,5,7,9]]=>[[1,3],[2,5],[4,7],[6,9],[8],[10],[11],[12]]=>[[1,5],[2,7],[3,9],[4,11],[6],[8],[10],[12]]
[[1,2,4,6,8,9,10,12],[3,5,7,11]]=>[[1,3],[2,5],[4,7],[6,11],[8],[9],[10],[12]]=>[[1,3],[2,7],[4,9],[5,11],[6],[8],[10],[12]]
[[1,2,4,6,8,9,11,12],[3,5,7,10]]=>[[1,3],[2,5],[4,7],[6,10],[8],[9],[11],[12]]=>[[1,4],[2,7],[3,9],[5,11],[6],[8],[10],[12]]
[[1,2,4,6,8,9,10,11,12],[3,5,7]]=>[[1,3],[2,5],[4,7],[6],[8],[9],[10],[11],[12]]=>[[1,7],[2,9],[3,11],[4],[5],[6],[8],[10],[12]]
[[1,2,4,6,7,8,10,12],[3,5,9,11]]=>[[1,3],[2,5],[4,9],[6,11],[7],[8],[10],[12]]=>[[1,3],[2,5],[4,9],[6,11],[7],[8],[10],[12]]
[[1,2,4,6,7,8,11,12],[3,5,9,10]]=>[[1,3],[2,5],[4,9],[6,10],[7],[8],[11],[12]]=>[[1,5],[2,6],[3,9],[4,11],[7],[8],[10],[12]]
[[1,2,4,6,7,9,10,12],[3,5,8,11]]=>[[1,3],[2,5],[4,8],[6,11],[7],[9],[10],[12]]=>[[1,3],[2,6],[4,9],[5,11],[7],[8],[10],[12]]
[[1,2,4,6,7,9,11,12],[3,5,8,10]]=>[[1,3],[2,5],[4,8],[6,10],[7],[9],[11],[12]]=>[[1,4],[2,6],[3,9],[5,11],[7],[8],[10],[12]]
[[1,2,4,6,7,9,10,11,12],[3,5,8]]=>[[1,3],[2,5],[4,8],[6],[7],[9],[10],[11],[12]]=>[[1,6],[2,9],[3,11],[4],[5],[7],[8],[10],[12]]
[[1,2,4,6,7,8,9,10,12],[3,5,11]]=>[[1,3],[2,5],[4,11],[6],[7],[8],[9],[10],[12]]=>[[1,3],[2,9],[4,11],[5],[6],[7],[8],[10],[12]]
[[1,2,4,6,7,8,9,11,12],[3,5,10]]=>[[1,3],[2,5],[4,10],[6],[7],[8],[9],[11],[12]]=>[[1,4],[2,9],[3,11],[5],[6],[7],[8],[10],[12]]
[[1,2,4,6,7,8,10,11,12],[3,5,9]]=>[[1,3],[2,5],[4,9],[6],[7],[8],[10],[11],[12]]=>[[1,5],[2,9],[3,11],[4],[6],[7],[8],[10],[12]]
[[1,2,4,6,7,8,9,10,11,12],[3,5]]=>[[1,3],[2,5],[4],[6],[7],[8],[9],[10],[11],[12]]=>[[1,9],[2,11],[3],[4],[5],[6],[7],[8],[10],[12]]
[[1,2,4,5,6,8,10,12],[3,7,9,11]]=>[[1,3],[2,7],[4,9],[5,11],[6],[8],[10],[12]]=>[[1,3],[2,5],[4,7],[6,11],[8],[9],[10],[12]]
[[1,2,4,5,6,8,11,12],[3,7,9,10]]=>[[1,3],[2,7],[4,9],[5,10],[6],[8],[11],[12]]=>[[1,5],[2,7],[3,8],[4,11],[6],[9],[10],[12]]
[[1,2,4,5,6,9,10,12],[3,7,8,11]]=>[[1,3],[2,7],[4,8],[5,11],[6],[9],[10],[12]]=>[[1,3],[2,7],[4,8],[5,11],[6],[9],[10],[12]]
[[1,2,4,5,6,9,11,12],[3,7,8,10]]=>[[1,3],[2,7],[4,8],[5,10],[6],[9],[11],[12]]=>[[1,4],[2,7],[3,8],[5,11],[6],[9],[10],[12]]
[[1,2,4,5,6,9,10,11,12],[3,7,8]]=>[[1,3],[2,7],[4,8],[5],[6],[9],[10],[11],[12]]=>[[1,7],[2,8],[3,11],[4],[5],[6],[9],[10],[12]]
[[1,2,4,5,7,8,10,12],[3,6,9,11]]=>[[1,3],[2,6],[4,9],[5,11],[7],[8],[10],[12]]=>[[1,3],[2,5],[4,8],[6,11],[7],[9],[10],[12]]
[[1,2,4,5,7,8,11,12],[3,6,9,10]]=>[[1,3],[2,6],[4,9],[5,10],[7],[8],[11],[12]]=>[[1,5],[2,6],[3,8],[4,11],[7],[9],[10],[12]]
[[1,2,4,5,7,9,10,12],[3,6,8,11]]=>[[1,3],[2,6],[4,8],[5,11],[7],[9],[10],[12]]=>[[1,3],[2,6],[4,8],[5,11],[7],[9],[10],[12]]
[[1,2,4,5,7,9,11,12],[3,6,8,10]]=>[[1,3],[2,6],[4,8],[5,10],[7],[9],[11],[12]]=>[[1,4],[2,6],[3,8],[5,11],[7],[9],[10],[12]]
[[1,2,4,5,7,9,10,11,12],[3,6,8]]=>[[1,3],[2,6],[4,8],[5],[7],[9],[10],[11],[12]]=>[[1,6],[2,8],[3,11],[4],[5],[7],[9],[10],[12]]
[[1,2,4,5,7,8,9,10,12],[3,6,11]]=>[[1,3],[2,6],[4,11],[5],[7],[8],[9],[10],[12]]=>[[1,3],[2,8],[4,11],[5],[6],[7],[9],[10],[12]]
[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>[[1,3],[2,6],[4,10],[5],[7],[8],[9],[11],[12]]=>[[1,4],[2,8],[3,11],[5],[6],[7],[9],[10],[12]]
[[1,2,4,5,7,8,10,11,12],[3,6,9]]=>[[1,3],[2,6],[4,9],[5],[7],[8],[10],[11],[12]]=>[[1,5],[2,8],[3,11],[4],[6],[7],[9],[10],[12]]
[[1,2,4,5,7,8,9,10,11,12],[3,6]]=>[[1,3],[2,6],[4],[5],[7],[8],[9],[10],[11],[12]]=>[[1,8],[2,11],[3],[4],[5],[6],[7],[9],[10],[12]]
[[1,2,4,5,6,7,8,10,12],[3,9,11]]=>[[1,3],[2,9],[4,11],[5],[6],[7],[8],[10],[12]]=>[[1,3],[2,5],[4,11],[6],[7],[8],[9],[10],[12]]
[[1,2,4,5,6,7,8,11,12],[3,9,10]]=>[[1,3],[2,9],[4,10],[5],[6],[7],[8],[11],[12]]=>[[1,5],[2,6],[3,11],[4],[7],[8],[9],[10],[12]]
[[1,2,4,5,6,7,9,10,12],[3,8,11]]=>[[1,3],[2,8],[4,11],[5],[6],[7],[9],[10],[12]]=>[[1,3],[2,6],[4,11],[5],[7],[8],[9],[10],[12]]
[[1,2,4,5,6,7,9,11,12],[3,8,10]]=>[[1,3],[2,8],[4,10],[5],[6],[7],[9],[11],[12]]=>[[1,4],[2,6],[3,11],[5],[7],[8],[9],[10],[12]]
[[1,2,4,5,6,7,10,11,12],[3,8,9]]=>[[1,3],[2,8],[4,9],[5],[6],[7],[10],[11],[12]]=>[[1,6],[2,7],[3,11],[4],[5],[8],[9],[10],[12]]
[[1,2,4,5,6,8,9,10,12],[3,7,11]]=>[[1,3],[2,7],[4,11],[5],[6],[8],[9],[10],[12]]=>[[1,3],[2,7],[4,11],[5],[6],[8],[9],[10],[12]]
[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>[[1,3],[2,7],[4,10],[5],[6],[8],[9],[11],[12]]=>[[1,4],[2,7],[3,11],[5],[6],[8],[9],[10],[12]]
[[1,2,4,5,6,8,10,11,12],[3,7,9]]=>[[1,3],[2,7],[4,9],[5],[6],[8],[10],[11],[12]]=>[[1,5],[2,7],[3,11],[4],[6],[8],[9],[10],[12]]
[[1,2,4,5,6,8,9,10,11,12],[3,7]]=>[[1,3],[2,7],[4],[5],[6],[8],[9],[10],[11],[12]]=>[[1,7],[2,11],[3],[4],[5],[6],[8],[9],[10],[12]]
[[1,2,4,5,6,7,8,9,10,12],[3,11]]=>[[1,3],[2,11],[4],[5],[6],[7],[8],[9],[10],[12]]=>[[1,3],[2,11],[4],[5],[6],[7],[8],[9],[10],[12]]
[[1,2,4,5,6,7,8,9,11,12],[3,10]]=>[[1,3],[2,10],[4],[5],[6],[7],[8],[9],[11],[12]]=>[[1,4],[2,11],[3],[5],[6],[7],[8],[9],[10],[12]]
[[1,2,4,5,6,7,8,10,11,12],[3,9]]=>[[1,3],[2,9],[4],[5],[6],[7],[8],[10],[11],[12]]=>[[1,5],[2,11],[3],[4],[6],[7],[8],[9],[10],[12]]
[[1,2,4,5,6,7,9,10,11,12],[3,8]]=>[[1,3],[2,8],[4],[5],[6],[7],[9],[10],[11],[12]]=>[[1,6],[2,11],[3],[4],[5],[7],[8],[9],[10],[12]]
[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]]
[[1,2,3,4,6,8,10,12],[5,7,9,11]]=>[[1,5],[2,7],[3,9],[4,11],[6],[8],[10],[12]]=>[[1,3],[2,5],[4,7],[6,9],[8],[10],[11],[12]]
[[1,2,3,4,6,8,11,12],[5,7,9,10]]=>[[1,5],[2,7],[3,9],[4,10],[6],[8],[11],[12]]=>[[1,5],[2,7],[3,9],[4,10],[6],[8],[11],[12]]
[[1,2,3,4,6,9,10,12],[5,7,8,11]]=>[[1,5],[2,7],[3,8],[4,11],[6],[9],[10],[12]]=>[[1,3],[2,7],[4,9],[5,10],[6],[8],[11],[12]]
[[1,2,3,4,6,9,11,12],[5,7,8,10]]=>[[1,5],[2,7],[3,8],[4,10],[6],[9],[11],[12]]=>[[1,4],[2,7],[3,9],[5,10],[6],[8],[11],[12]]
[[1,2,3,4,6,9,10,11,12],[5,7,8]]=>[[1,5],[2,7],[3,8],[4],[6],[9],[10],[11],[12]]=>[[1,7],[2,9],[3,10],[4],[5],[6],[8],[11],[12]]
[[1,2,3,4,7,8,10,12],[5,6,9,11]]=>[[1,5],[2,6],[3,9],[4,11],[7],[8],[10],[12]]=>[[1,3],[2,5],[4,9],[6,10],[7],[8],[11],[12]]
[[1,2,3,4,7,8,11,12],[5,6,9,10]]=>[[1,5],[2,6],[3,9],[4,10],[7],[8],[11],[12]]=>[[1,5],[2,6],[3,9],[4,10],[7],[8],[11],[12]]
[[1,2,3,4,7,9,10,12],[5,6,8,11]]=>[[1,5],[2,6],[3,8],[4,11],[7],[9],[10],[12]]=>[[1,3],[2,6],[4,9],[5,10],[7],[8],[11],[12]]
[[1,2,3,4,7,9,11,12],[5,6,8,10]]=>[[1,5],[2,6],[3,8],[4,10],[7],[9],[11],[12]]=>[[1,4],[2,6],[3,9],[5,10],[7],[8],[11],[12]]
[[1,2,3,4,7,9,10,11,12],[5,6,8]]=>[[1,5],[2,6],[3,8],[4],[7],[9],[10],[11],[12]]=>[[1,6],[2,9],[3,10],[4],[5],[7],[8],[11],[12]]
[[1,2,3,4,7,8,9,10,12],[5,6,11]]=>[[1,5],[2,6],[3,11],[4],[7],[8],[9],[10],[12]]=>[[1,3],[2,9],[4,10],[5],[6],[7],[8],[11],[12]]
[[1,2,3,4,7,8,9,11,12],[5,6,10]]=>[[1,5],[2,6],[3,10],[4],[7],[8],[9],[11],[12]]=>[[1,4],[2,9],[3,10],[5],[6],[7],[8],[11],[12]]
[[1,2,3,4,7,8,10,11,12],[5,6,9]]=>[[1,5],[2,6],[3,9],[4],[7],[8],[10],[11],[12]]=>[[1,5],[2,9],[3,10],[4],[6],[7],[8],[11],[12]]
[[1,2,3,4,7,8,9,10,11,12],[5,6]]=>[[1,5],[2,6],[3],[4],[7],[8],[9],[10],[11],[12]]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8],[11],[12]]
[[1,2,3,5,6,8,10,12],[4,7,9,11]]=>[[1,4],[2,7],[3,9],[5,11],[6],[8],[10],[12]]=>[[1,3],[2,5],[4,7],[6,10],[8],[9],[11],[12]]
[[1,2,3,5,6,8,11,12],[4,7,9,10]]=>[[1,4],[2,7],[3,9],[5,10],[6],[8],[11],[12]]=>[[1,5],[2,7],[3,8],[4,10],[6],[9],[11],[12]]
[[1,2,3,5,6,9,10,12],[4,7,8,11]]=>[[1,4],[2,7],[3,8],[5,11],[6],[9],[10],[12]]=>[[1,3],[2,7],[4,8],[5,10],[6],[9],[11],[12]]
[[1,2,3,5,6,9,11,12],[4,7,8,10]]=>[[1,4],[2,7],[3,8],[5,10],[6],[9],[11],[12]]=>[[1,4],[2,7],[3,8],[5,10],[6],[9],[11],[12]]
[[1,2,3,5,6,9,10,11,12],[4,7,8]]=>[[1,4],[2,7],[3,8],[5],[6],[9],[10],[11],[12]]=>[[1,7],[2,8],[3,10],[4],[5],[6],[9],[11],[12]]
[[1,2,3,5,7,8,10,12],[4,6,9,11]]=>[[1,4],[2,6],[3,9],[5,11],[7],[8],[10],[12]]=>[[1,3],[2,5],[4,8],[6,10],[7],[9],[11],[12]]
[[1,2,3,5,7,8,11,12],[4,6,9,10]]=>[[1,4],[2,6],[3,9],[5,10],[7],[8],[11],[12]]=>[[1,5],[2,6],[3,8],[4,10],[7],[9],[11],[12]]
[[1,2,3,5,7,9,10,12],[4,6,8,11]]=>[[1,4],[2,6],[3,8],[5,11],[7],[9],[10],[12]]=>[[1,3],[2,6],[4,8],[5,10],[7],[9],[11],[12]]
[[1,2,3,5,7,9,11,12],[4,6,8,10]]=>[[1,4],[2,6],[3,8],[5,10],[7],[9],[11],[12]]=>[[1,4],[2,6],[3,8],[5,10],[7],[9],[11],[12]]
[[1,2,3,5,7,9,10,11,12],[4,6,8]]=>[[1,4],[2,6],[3,8],[5],[7],[9],[10],[11],[12]]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9],[11],[12]]
[[1,2,3,5,7,8,9,10,12],[4,6,11]]=>[[1,4],[2,6],[3,11],[5],[7],[8],[9],[10],[12]]=>[[1,3],[2,8],[4,10],[5],[6],[7],[9],[11],[12]]
[[1,2,3,5,7,8,9,11,12],[4,6,10]]=>[[1,4],[2,6],[3,10],[5],[7],[8],[9],[11],[12]]=>[[1,4],[2,8],[3,10],[5],[6],[7],[9],[11],[12]]
[[1,2,3,5,7,8,10,11,12],[4,6,9]]=>[[1,4],[2,6],[3,9],[5],[7],[8],[10],[11],[12]]=>[[1,5],[2,8],[3,10],[4],[6],[7],[9],[11],[12]]
[[1,2,3,5,7,8,9,10,11,12],[4,6]]=>[[1,4],[2,6],[3],[5],[7],[8],[9],[10],[11],[12]]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9],[11],[12]]
[[1,2,3,5,6,7,8,10,12],[4,9,11]]=>[[1,4],[2,9],[3,11],[5],[6],[7],[8],[10],[12]]=>[[1,3],[2,5],[4,10],[6],[7],[8],[9],[11],[12]]
[[1,2,3,5,6,7,8,11,12],[4,9,10]]=>[[1,4],[2,9],[3,10],[5],[6],[7],[8],[11],[12]]=>[[1,5],[2,6],[3,10],[4],[7],[8],[9],[11],[12]]
[[1,2,3,5,6,7,9,10,12],[4,8,11]]=>[[1,4],[2,8],[3,11],[5],[6],[7],[9],[10],[12]]=>[[1,3],[2,6],[4,10],[5],[7],[8],[9],[11],[12]]
[[1,2,3,5,6,7,9,11,12],[4,8,10]]=>[[1,4],[2,8],[3,10],[5],[6],[7],[9],[11],[12]]=>[[1,4],[2,6],[3,10],[5],[7],[8],[9],[11],[12]]
[[1,2,3,5,6,7,10,11,12],[4,8,9]]=>[[1,4],[2,8],[3,9],[5],[6],[7],[10],[11],[12]]=>[[1,6],[2,7],[3,10],[4],[5],[8],[9],[11],[12]]
[[1,2,3,5,6,8,9,10,12],[4,7,11]]=>[[1,4],[2,7],[3,11],[5],[6],[8],[9],[10],[12]]=>[[1,3],[2,7],[4,10],[5],[6],[8],[9],[11],[12]]
[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>[[1,4],[2,7],[3,10],[5],[6],[8],[9],[11],[12]]=>[[1,4],[2,7],[3,10],[5],[6],[8],[9],[11],[12]]
[[1,2,3,5,6,8,10,11,12],[4,7,9]]=>[[1,4],[2,7],[3,9],[5],[6],[8],[10],[11],[12]]=>[[1,5],[2,7],[3,10],[4],[6],[8],[9],[11],[12]]
[[1,2,3,5,6,8,9,10,11,12],[4,7]]=>[[1,4],[2,7],[3],[5],[6],[8],[9],[10],[11],[12]]=>[[1,7],[2,10],[3],[4],[5],[6],[8],[9],[11],[12]]
[[1,2,3,5,6,7,8,9,10,12],[4,11]]=>[[1,4],[2,11],[3],[5],[6],[7],[8],[9],[10],[12]]=>[[1,3],[2,10],[4],[5],[6],[7],[8],[9],[11],[12]]
[[1,2,3,5,6,7,8,9,11,12],[4,10]]=>[[1,4],[2,10],[3],[5],[6],[7],[8],[9],[11],[12]]=>[[1,4],[2,10],[3],[5],[6],[7],[8],[9],[11],[12]]
[[1,2,3,5,6,7,8,10,11,12],[4,9]]=>[[1,4],[2,9],[3],[5],[6],[7],[8],[10],[11],[12]]=>[[1,5],[2,10],[3],[4],[6],[7],[8],[9],[11],[12]]
[[1,2,3,5,6,7,9,10,11,12],[4,8]]=>[[1,4],[2,8],[3],[5],[6],[7],[9],[10],[11],[12]]=>[[1,6],[2,10],[3],[4],[5],[7],[8],[9],[11],[12]]
[[1,2,3,5,6,7,8,9,10,11,12],[4]]=>[[1,4],[2],[3],[5],[6],[7],[8],[9],[10],[11],[12]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9],[11],[12]]
[[1,2,3,4,5,6,8,10,12],[7,9,11]]=>[[1,7],[2,9],[3,11],[4],[5],[6],[8],[10],[12]]=>[[1,3],[2,5],[4,7],[6],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,8,11,12],[7,9,10]]=>[[1,7],[2,9],[3,10],[4],[5],[6],[8],[11],[12]]=>[[1,5],[2,7],[3,8],[4],[6],[9],[10],[11],[12]]
[[1,2,3,4,5,6,9,10,12],[7,8,11]]=>[[1,7],[2,8],[3,11],[4],[5],[6],[9],[10],[12]]=>[[1,3],[2,7],[4,8],[5],[6],[9],[10],[11],[12]]
[[1,2,3,4,5,6,9,11,12],[7,8,10]]=>[[1,7],[2,8],[3,10],[4],[5],[6],[9],[11],[12]]=>[[1,4],[2,7],[3,8],[5],[6],[9],[10],[11],[12]]
[[1,2,3,4,5,6,10,11,12],[7,8,9]]=>[[1,7],[2,8],[3,9],[4],[5],[6],[10],[11],[12]]=>[[1,7],[2,8],[3,9],[4],[5],[6],[10],[11],[12]]
[[1,2,3,4,5,7,8,10,12],[6,9,11]]=>[[1,6],[2,9],[3,11],[4],[5],[7],[8],[10],[12]]=>[[1,3],[2,5],[4,8],[6],[7],[9],[10],[11],[12]]
[[1,2,3,4,5,7,8,11,12],[6,9,10]]=>[[1,6],[2,9],[3,10],[4],[5],[7],[8],[11],[12]]=>[[1,5],[2,6],[3,8],[4],[7],[9],[10],[11],[12]]
[[1,2,3,4,5,7,9,10,12],[6,8,11]]=>[[1,6],[2,8],[3,11],[4],[5],[7],[9],[10],[12]]=>[[1,3],[2,6],[4,8],[5],[7],[9],[10],[11],[12]]
[[1,2,3,4,5,7,9,11,12],[6,8,10]]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9],[11],[12]]=>[[1,4],[2,6],[3,8],[5],[7],[9],[10],[11],[12]]
[[1,2,3,4,5,7,10,11,12],[6,8,9]]=>[[1,6],[2,8],[3,9],[4],[5],[7],[10],[11],[12]]=>[[1,6],[2,8],[3,9],[4],[5],[7],[10],[11],[12]]
[[1,2,3,4,5,8,9,10,12],[6,7,11]]=>[[1,6],[2,7],[3,11],[4],[5],[8],[9],[10],[12]]=>[[1,3],[2,8],[4,9],[5],[6],[7],[10],[11],[12]]
[[1,2,3,4,5,8,9,11,12],[6,7,10]]=>[[1,6],[2,7],[3,10],[4],[5],[8],[9],[11],[12]]=>[[1,4],[2,8],[3,9],[5],[6],[7],[10],[11],[12]]
[[1,2,3,4,5,8,10,11,12],[6,7,9]]=>[[1,6],[2,7],[3,9],[4],[5],[8],[10],[11],[12]]=>[[1,5],[2,8],[3,9],[4],[6],[7],[10],[11],[12]]
[[1,2,3,4,5,8,9,10,11,12],[6,7]]=>[[1,6],[2,7],[3],[4],[5],[8],[9],[10],[11],[12]]=>[[1,8],[2,9],[3],[4],[5],[6],[7],[10],[11],[12]]
[[1,2,3,4,6,7,8,10,12],[5,9,11]]=>[[1,5],[2,9],[3,11],[4],[6],[7],[8],[10],[12]]=>[[1,3],[2,5],[4,9],[6],[7],[8],[10],[11],[12]]
[[1,2,3,4,6,7,8,11,12],[5,9,10]]=>[[1,5],[2,9],[3,10],[4],[6],[7],[8],[11],[12]]=>[[1,5],[2,6],[3,9],[4],[7],[8],[10],[11],[12]]
[[1,2,3,4,6,7,9,10,12],[5,8,11]]=>[[1,5],[2,8],[3,11],[4],[6],[7],[9],[10],[12]]=>[[1,3],[2,6],[4,9],[5],[7],[8],[10],[11],[12]]
[[1,2,3,4,6,7,9,11,12],[5,8,10]]=>[[1,5],[2,8],[3,10],[4],[6],[7],[9],[11],[12]]=>[[1,4],[2,6],[3,9],[5],[7],[8],[10],[11],[12]]
[[1,2,3,4,6,7,10,11,12],[5,8,9]]=>[[1,5],[2,8],[3,9],[4],[6],[7],[10],[11],[12]]=>[[1,6],[2,7],[3,9],[4],[5],[8],[10],[11],[12]]
[[1,2,3,4,6,8,9,10,12],[5,7,11]]=>[[1,5],[2,7],[3,11],[4],[6],[8],[9],[10],[12]]=>[[1,3],[2,7],[4,9],[5],[6],[8],[10],[11],[12]]
[[1,2,3,4,6,8,9,11,12],[5,7,10]]=>[[1,5],[2,7],[3,10],[4],[6],[8],[9],[11],[12]]=>[[1,4],[2,7],[3,9],[5],[6],[8],[10],[11],[12]]
[[1,2,3,4,6,8,10,11,12],[5,7,9]]=>[[1,5],[2,7],[3,9],[4],[6],[8],[10],[11],[12]]=>[[1,5],[2,7],[3,9],[4],[6],[8],[10],[11],[12]]
[[1,2,3,4,6,8,9,10,11,12],[5,7]]=>[[1,5],[2,7],[3],[4],[6],[8],[9],[10],[11],[12]]=>[[1,7],[2,9],[3],[4],[5],[6],[8],[10],[11],[12]]
[[1,2,3,4,6,7,8,9,10,12],[5,11]]=>[[1,5],[2,11],[3],[4],[6],[7],[8],[9],[10],[12]]=>[[1,3],[2,9],[4],[5],[6],[7],[8],[10],[11],[12]]
[[1,2,3,4,6,7,8,9,11,12],[5,10]]=>[[1,5],[2,10],[3],[4],[6],[7],[8],[9],[11],[12]]=>[[1,4],[2,9],[3],[5],[6],[7],[8],[10],[11],[12]]
[[1,2,3,4,6,7,8,10,11,12],[5,9]]=>[[1,5],[2,9],[3],[4],[6],[7],[8],[10],[11],[12]]=>[[1,5],[2,9],[3],[4],[6],[7],[8],[10],[11],[12]]
[[1,2,3,4,6,7,9,10,11,12],[5,8]]=>[[1,5],[2,8],[3],[4],[6],[7],[9],[10],[11],[12]]=>[[1,6],[2,9],[3],[4],[5],[7],[8],[10],[11],[12]]
[[1,2,3,4,6,7,8,9,10,11,12],[5]]=>[[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]]
[[1,2,3,4,5,6,7,8,10,12],[9,11]]=>[[1,9],[2,11],[3],[4],[5],[6],[7],[8],[10],[12]]=>[[1,3],[2,5],[4],[6],[7],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,7,8,11,12],[9,10]]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8],[11],[12]]=>[[1,5],[2,6],[3],[4],[7],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,7,9,10,12],[8,11]]=>[[1,8],[2,11],[3],[4],[5],[6],[7],[9],[10],[12]]=>[[1,3],[2,6],[4],[5],[7],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,7,9,11,12],[8,10]]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9],[11],[12]]=>[[1,4],[2,6],[3],[5],[7],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,7,10,11,12],[8,9]]=>[[1,8],[2,9],[3],[4],[5],[6],[7],[10],[11],[12]]=>[[1,6],[2,7],[3],[4],[5],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,8,9,10,12],[7,11]]=>[[1,7],[2,11],[3],[4],[5],[6],[8],[9],[10],[12]]=>[[1,3],[2,7],[4],[5],[6],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,8,9,11,12],[7,10]]=>[[1,7],[2,10],[3],[4],[5],[6],[8],[9],[11],[12]]=>[[1,4],[2,7],[3],[5],[6],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,8,10,11,12],[7,9]]=>[[1,7],[2,9],[3],[4],[5],[6],[8],[10],[11],[12]]=>[[1,5],[2,7],[3],[4],[6],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,9,10,11,12],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6],[9],[10],[11],[12]]=>[[1,7],[2,8],[3],[4],[5],[6],[9],[10],[11],[12]]
[[1,2,3,4,5,7,8,9,10,12],[6,11]]=>[[1,6],[2,11],[3],[4],[5],[7],[8],[9],[10],[12]]=>[[1,3],[2,8],[4],[5],[6],[7],[9],[10],[11],[12]]
[[1,2,3,4,5,7,8,9,11,12],[6,10]]=>[[1,6],[2,10],[3],[4],[5],[7],[8],[9],[11],[12]]=>[[1,4],[2,8],[3],[5],[6],[7],[9],[10],[11],[12]]
[[1,2,3,4,5,7,8,10,11,12],[6,9]]=>[[1,6],[2,9],[3],[4],[5],[7],[8],[10],[11],[12]]=>[[1,5],[2,8],[3],[4],[6],[7],[9],[10],[11],[12]]
[[1,2,3,4,5,7,9,10,11,12],[6,8]]=>[[1,6],[2,8],[3],[4],[5],[7],[9],[10],[11],[12]]=>[[1,6],[2,8],[3],[4],[5],[7],[9],[10],[11],[12]]
[[1,2,3,4,5,7,8,9,10,11,12],[6]]=>[[1,6],[2],[3],[4],[5],[7],[8],[9],[10],[11],[12]]=>[[1,8],[2],[3],[4],[5],[6],[7],[9],[10],[11],[12]]
[[1,2,3,4,5,6,7,8,9,10,12],[11]]=>[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,7,8,9,11,12],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9],[11],[12]]=>[[1,4],[2],[3],[5],[6],[7],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,7,8,10,11,12],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]]=>[[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,7,9,10,11,12],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7],[9],[10],[11],[12]]=>[[1,6],[2],[3],[4],[5],[7],[8],[9],[10],[11],[12]]
[[1,2,3,4,5,6,8,9,10,11,12],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]]=>[[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]]
[[1,4,5,6,7,8],[2],[3],[9]]=>[[1,2,3,9],[4],[5],[6],[7],[8]]=>[[1,2,8,9],[3],[4],[5],[6],[7]]
[[1,4,5,6,7,8,9],[2],[3],[10]]=>[[1,2,3,10],[4],[5],[6],[7],[8],[9]]=>[[1,2,9,10],[3],[4],[5],[6],[7],[8]]
[[1,2,5,6,7,8,9],[3],[4]]=>[[1,3,4],[2],[5],[6],[7],[8],[9]]=>[[1,7,8],[2],[3],[4],[5],[6],[9]]
[[1,2,6,7,8,9],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7],[8],[9]]=>[[1,6,7,8],[2],[3],[4],[5],[9]]
[[1,2,7,8,9],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7],[8],[9]]=>[[1,5,6,7,8],[2],[3],[4],[9]]
[[1,2,8,9],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2],[8],[9]]=>[[1,4,5,6,7,8],[2],[3],[9]]
[[1,2,5,6,7,8,9,10],[3],[4]]=>[[1,3,4],[2],[5],[6],[7],[8],[9],[10]]=>[[1,8,9],[2],[3],[4],[5],[6],[7],[10]]
[[1,2,6,7,8,9,10],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7],[8],[9],[10]]=>[[1,7,8,9],[2],[3],[4],[5],[6],[10]]
[[1,2,7,8,9,10],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7],[8],[9],[10]]=>[[1,6,7,8,9],[2],[3],[4],[5],[10]]
[[1,2,8,9,10],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2],[8],[9],[10]]=>[[1,5,6,7,8,9],[2],[3],[4],[10]]
[[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2],[9],[10]]=>[[1,4,5,6,7,8,9],[2],[3],[10]]
[[1,2],[3,9],[4],[5],[6],[7],[8],[10]]=>[[1,3,4,5,6,7,8,10],[2,9]]=>[[1,2,4,5,6,7,8,9],[3,10]]
[[1,2,3,4,7,8,9],[5,6]]=>[[1,5],[2,6],[3],[4],[7],[8],[9]]=>[[1,6],[2,7],[3],[4],[5],[8],[9]]
[[1,2,4,5,8,9],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5],[8],[9]]=>[[1,5,8],[2,6],[3],[4],[7],[9]]
[[1,2,4,5,6,7],[3,9],[8]]=>[[1,3,8],[2,9],[4],[5],[6],[7]]=>[[1,3,8],[2,4],[5],[6],[7],[9]]
[[1,2,5,6,9],[3,8],[4],[7]]=>[[1,3,4,7],[2,8],[5],[6],[9]]=>[[1,4,7,8],[2,5],[3],[6],[9]]
[[1,2,3,4,7,8],[5,6],[9]]=>[[1,5,9],[2,6],[3],[4],[7],[8]]=>[[1,2,6],[3,7],[4],[5],[8],[9]]
[[1,2,5,6,7,8],[3],[4],[9]]=>[[1,3,4,9],[2],[5],[6],[7],[8]]=>[[1,2,7,8],[3],[4],[5],[6],[9]]
[[1,2,4,5],[3,7],[6,9],[8]]=>[[1,3,6,8],[2,7,9],[4],[5]]=>[[1,3,5,8],[2,4,6],[7],[9]]
[[1,2,6,7],[3,9],[4],[5],[8]]=>[[1,3,4,5,8],[2,9],[6],[7]]=>[[1,3,6,7,8],[2,4],[5],[9]]
[[1,2,5,6],[3,8],[4],[7],[9]]=>[[1,3,4,7,9],[2,8],[5],[6]]=>[[1,2,4,7,8],[3,5],[6],[9]]
[[1,2,7,8],[3],[4],[5],[6],[9]]=>[[1,3,4,5,6,9],[2],[7],[8]]=>[[1,2,5,6,7,8],[3],[4],[9]]
[[1,2,4,5,8,9,10],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5],[8],[9],[10]]=>[[1,6,9],[2,7],[3],[4],[5],[8],[10]]
[[1,2,4,5,6,7],[3,9,10],[8]]=>[[1,3,8],[2,9],[4,10],[5],[6],[7]]=>[[1,4,9],[2,5],[3,6],[7],[8],[10]]
[[1,2,3,4,9,10],[5,6],[7,8]]=>[[1,5,7],[2,6,8],[3],[4],[9],[10]]=>[[1,5,7],[2,6,8],[3],[4],[9],[10]]
[[1,2,5,6,9,10],[3,8],[4],[7]]=>[[1,3,4,7],[2,8],[5],[6],[9],[10]]=>[[1,5,8,9],[2,6],[3],[4],[7],[10]]
[[1,2,4,5,6,7,8,9],[3],[10]]=>[[1,3,10],[2],[4],[5],[6],[7],[8],[9]]=>[[1,2,9],[3],[4],[5],[6],[7],[8],[10]]
[[1,2,3,4,7,8],[5,6],[9,10]]=>[[1,5,9],[2,6,10],[3],[4],[7],[8]]=>[[1,3,7],[2,4,8],[5],[6],[9],[10]]
[[1,2,5,6,7,8],[3,10],[4],[9]]=>[[1,3,4,9],[2,10],[5],[6],[7],[8]]=>[[1,3,8,9],[2,4],[5],[6],[7],[10]]
[[1,2,4,5,10],[3,7],[6,9],[8]]=>[[1,3,6,8],[2,7,9],[4],[5],[10]]=>[[1,4,6,9],[2,5,7],[3],[8],[10]]
[[1,2,6,7,10],[3,9],[4],[5],[8]]=>[[1,3,4,5,8],[2,9],[6],[7],[10]]=>[[1,4,7,8,9],[2,5],[3],[6],[10]]
[[1,2,4,5,8,9],[3,7],[6],[10]]=>[[1,3,6,10],[2,7],[4],[5],[8],[9]]=>[[1,2,6,9],[3,7],[4],[5],[8],[10]]
[[1,2,6,7,8,9],[3],[4],[5],[10]]=>[[1,3,4,5,10],[2],[6],[7],[8],[9]]=>[[1,2,7,8,9],[3],[4],[5],[6],[10]]
[[1,2,5,6],[3,8],[4,10],[7],[9]]=>[[1,3,4,7,9],[2,8,10],[5],[6]]=>[[1,3,5,8,9],[2,4,6],[7],[10]]
[[1,2,7,8],[3,10],[4],[5],[6],[9]]=>[[1,3,4,5,6,9],[2,10],[7],[8]]=>[[1,3,6,7,8,9],[2,4],[5],[10]]
[[1,2,4,5],[3,7],[6,9],[8],[10]]=>[[1,3,6,8,10],[2,7,9],[4],[5]]=>[[1,2,4,6,9],[3,5,7],[8],[10]]
[[1,2,6,7],[3,9],[4],[5],[8],[10]]=>[[1,3,4,5,8,10],[2,9],[6],[7]]=>[[1,2,4,7,8,9],[3,5],[6],[10]]
[[1,2,8,9],[3],[4],[5],[6],[7],[10]]=>[[1,3,4,5,6,7,10],[2],[8],[9]]=>[[1,2,5,6,7,8,9],[3],[4],[10]]
[[1,3],[2,5],[4,8],[6],[7],[9],[10]]=>[[1,2,4,6,7,9,10],[3,5,8]]=>[[1,2,3,5,6,8,10],[4,7,9]]
[[1,3],[2,6],[4,8],[5],[7],[9],[10]]=>[[1,2,4,5,7,9,10],[3,6,8]]=>[[1,2,3,5,7,8,10],[4,6,9]]
[[1,3],[2,6],[4],[5],[7],[8],[9],[10]]=>[[1,2,4,5,7,8,9,10],[3,6]]=>[[1,2,3,4,5,7,8,10],[6,9]]
[[1,3],[2,8],[4],[5],[6],[7],[9],[10]]=>[[1,2,4,5,6,7,9,10],[3,8]]=>[[1,2,3,5,6,7,8,10],[4,9]]
[[1,3],[2,7],[4],[5],[6],[8],[9],[10]]=>[[1,2,4,5,6,8,9,10],[3,7]]=>[[1,2,3,4,6,7,8,10],[5,9]]
[[1,5],[2,6],[3,8],[4],[7],[9],[10]]=>[[1,2,3,4,7,9,10],[5,6,8]]=>[[1,2,3,5,6,9,10],[4,7,8]]
[[1,5],[2,6],[3],[4],[7],[8],[9],[10]]=>[[1,2,3,4,7,8,9,10],[5,6]]=>[[1,2,3,4,5,6,9,10],[7,8]]
[[1,4],[2,7],[3,8],[5],[6],[9],[10]]=>[[1,2,3,5,6,9,10],[4,7,8]]=>[[1,2,3,4,7,9,10],[5,6,8]]
[[1,4],[2,6],[3,8],[5],[7],[9],[10]]=>[[1,2,3,5,7,9,10],[4,6,8]]=>[[1,2,3,5,7,9,10],[4,6,8]]
[[1,4],[2,6],[3],[5],[7],[8],[9],[10]]=>[[1,2,3,5,7,8,9,10],[4,6]]=>[[1,2,3,4,5,7,9,10],[6,8]]
[[1,4],[2,8],[3],[5],[6],[7],[9],[10]]=>[[1,2,3,5,6,7,9,10],[4,8]]=>[[1,2,3,5,6,7,9,10],[4,8]]
[[1,4],[2,7],[3],[5],[6],[8],[9],[10]]=>[[1,2,3,5,6,8,9,10],[4,7]]=>[[1,2,3,4,6,7,9,10],[5,8]]
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,5,6,7,8,9,10],[4]]=>[[1,2,3,4,5,6,7,9,10],[8]]
[[1,7],[2,8],[3],[4],[5],[6],[9],[10]]=>[[1,2,3,4,5,6,9,10],[7,8]]=>[[1,2,3,4,7,8,9,10],[5,6]]
[[1,6],[2,8],[3],[4],[5],[7],[9],[10]]=>[[1,2,3,4,5,7,9,10],[6,8]]=>[[1,2,3,5,7,8,9,10],[4,6]]
[[1,6],[2,7],[3],[4],[5],[8],[9],[10]]=>[[1,2,3,4,5,8,9,10],[6,7]]=>[[1,2,3,4,5,8,9,10],[6,7]]
[[1,5],[2,8],[3],[4],[6],[7],[9],[10]]=>[[1,2,3,4,6,7,9,10],[5,8]]=>[[1,2,3,5,6,8,9,10],[4,7]]
[[1,5],[2,7],[3],[4],[6],[8],[9],[10]]=>[[1,2,3,4,6,8,9,10],[5,7]]=>[[1,2,3,4,6,8,9,10],[5,7]]
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[[1,2,3,4,6,7,8,9,10],[5]]=>[[1,2,3,4,5,6,8,9,10],[7]]
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[[1,2,3,4,5,6,7,9,10],[8]]=>[[1,2,3,5,6,7,8,9,10],[4]]
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[[1,2,3,4,5,6,8,9,10],[7]]=>[[1,2,3,4,6,7,8,9,10],[5]]
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[[1,2,3,4,5,7,8,9,10],[6]]=>[[1,2,3,4,5,7,8,9,10],[6]]
[[1,3],[2,5],[4,7],[6,9],[8],[10],[11],[12]]=>[[1,2,4,6,8,10,11,12],[3,5,7,9]]=>[[1,2,3,4,6,8,10,12],[5,7,9,11]]
[[1,3],[2,5],[4,7],[6,10],[8],[9],[11],[12]]=>[[1,2,4,6,8,9,11,12],[3,5,7,10]]=>[[1,2,3,5,6,8,10,12],[4,7,9,11]]
[[1,3],[2,5],[4,7],[6],[8],[9],[10],[11],[12]]=>[[1,2,4,6,8,9,10,11,12],[3,5,7]]=>[[1,2,3,4,5,6,8,10,12],[7,9,11]]
[[1,3],[2,5],[4,8],[6,10],[7],[9],[11],[12]]=>[[1,2,4,6,7,9,11,12],[3,5,8,10]]=>[[1,2,3,5,7,8,10,12],[4,6,9,11]]
[[1,3],[2,5],[4,8],[6],[7],[9],[10],[11],[12]]=>[[1,2,4,6,7,9,10,11,12],[3,5,8]]=>[[1,2,3,4,5,7,8,10,12],[6,9,11]]
[[1,3],[2,5],[4,10],[6],[7],[8],[9],[11],[12]]=>[[1,2,4,6,7,8,9,11,12],[3,5,10]]=>[[1,2,3,5,6,7,8,10,12],[4,9,11]]
[[1,3],[2,5],[4,9],[6],[7],[8],[10],[11],[12]]=>[[1,2,4,6,7,8,10,11,12],[3,5,9]]=>[[1,2,3,4,6,7,8,10,12],[5,9,11]]
[[1,3],[2,5],[4],[6],[7],[8],[9],[10],[11],[12]]=>[[1,2,4,6,7,8,9,10,11,12],[3,5]]=>[[1,2,3,4,5,6,7,8,10,12],[9,11]]
[[1,3],[2,6],[4,9],[5,10],[7],[8],[11],[12]]=>[[1,2,4,5,7,8,11,12],[3,6,9,10]]=>[[1,2,3,4,7,9,10,12],[5,6,8,11]]
[[1,3],[2,6],[4,8],[5,10],[7],[9],[11],[12]]=>[[1,2,4,5,7,9,11,12],[3,6,8,10]]=>[[1,2,3,5,7,9,10,12],[4,6,8,11]]
[[1,3],[2,6],[4,8],[5],[7],[9],[10],[11],[12]]=>[[1,2,4,5,7,9,10,11,12],[3,6,8]]=>[[1,2,3,4,5,7,9,10,12],[6,8,11]]
[[1,3],[2,6],[4,10],[5],[7],[8],[9],[11],[12]]=>[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>[[1,2,3,5,6,7,9,10,12],[4,8,11]]
[[1,3],[2,6],[4,9],[5],[7],[8],[10],[11],[12]]=>[[1,2,4,5,7,8,10,11,12],[3,6,9]]=>[[1,2,3,4,6,7,9,10,12],[5,8,11]]
[[1,3],[2,6],[4],[5],[7],[8],[9],[10],[11],[12]]=>[[1,2,4,5,7,8,9,10,11,12],[3,6]]=>[[1,2,3,4,5,6,7,9,10,12],[8,11]]
[[1,3],[2,8],[4,10],[5],[6],[7],[9],[11],[12]]=>[[1,2,4,5,6,7,9,11,12],[3,8,10]]=>[[1,2,3,5,7,8,9,10,12],[4,6,11]]
[[1,3],[2,7],[4,10],[5],[6],[8],[9],[11],[12]]=>[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>[[1,2,3,5,6,8,9,10,12],[4,7,11]]
[[1,3],[2,7],[4,9],[5],[6],[8],[10],[11],[12]]=>[[1,2,4,5,6,8,10,11,12],[3,7,9]]=>[[1,2,3,4,6,8,9,10,12],[5,7,11]]
[[1,3],[2,7],[4],[5],[6],[8],[9],[10],[11],[12]]=>[[1,2,4,5,6,8,9,10,11,12],[3,7]]=>[[1,2,3,4,5,6,8,9,10,12],[7,11]]
[[1,3],[2,10],[4],[5],[6],[7],[8],[9],[11],[12]]=>[[1,2,4,5,6,7,8,9,11,12],[3,10]]=>[[1,2,3,5,6,7,8,9,10,12],[4,11]]
[[1,3],[2,9],[4],[5],[6],[7],[8],[10],[11],[12]]=>[[1,2,4,5,6,7,8,10,11,12],[3,9]]=>[[1,2,3,4,6,7,8,9,10,12],[5,11]]
[[1,3],[2,8],[4],[5],[6],[7],[9],[10],[11],[12]]=>[[1,2,4,5,6,7,9,10,11,12],[3,8]]=>[[1,2,3,4,5,7,8,9,10,12],[6,11]]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[[1,2,3,4,5,6,7,8,9,10,12],[11]]
[[1,5],[2,7],[3,8],[4],[6],[9],[10],[11],[12]]=>[[1,2,3,4,6,9,10,11,12],[5,7,8]]=>[[1,2,3,4,5,6,8,11,12],[7,9,10]]
[[1,5],[2,6],[3],[4],[7],[8],[9],[10],[11],[12]]=>[[1,2,3,4,7,8,9,10,11,12],[5,6]]=>[[1,2,3,4,5,6,7,8,11,12],[9,10]]
[[1,4],[2,7],[3,8],[5,10],[6],[9],[11],[12]]=>[[1,2,3,5,6,9,11,12],[4,7,8,10]]=>[[1,2,3,5,6,9,11,12],[4,7,8,10]]
[[1,4],[2,7],[3,8],[5],[6],[9],[10],[11],[12]]=>[[1,2,3,5,6,9,10,11,12],[4,7,8]]=>[[1,2,3,4,5,6,9,11,12],[7,8,10]]
[[1,4],[2,6],[3,9],[5,10],[7],[8],[11],[12]]=>[[1,2,3,5,7,8,11,12],[4,6,9,10]]=>[[1,2,3,4,7,9,11,12],[5,6,8,10]]
[[1,4],[2,6],[3,8],[5,10],[7],[9],[11],[12]]=>[[1,2,3,5,7,9,11,12],[4,6,8,10]]=>[[1,2,3,5,7,9,11,12],[4,6,8,10]]
[[1,4],[2,6],[3,8],[5],[7],[9],[10],[11],[12]]=>[[1,2,3,5,7,9,10,11,12],[4,6,8]]=>[[1,2,3,4,5,7,9,11,12],[6,8,10]]
[[1,4],[2,6],[3,10],[5],[7],[8],[9],[11],[12]]=>[[1,2,3,5,7,8,9,11,12],[4,6,10]]=>[[1,2,3,5,6,7,9,11,12],[4,8,10]]
[[1,4],[2,6],[3,9],[5],[7],[8],[10],[11],[12]]=>[[1,2,3,5,7,8,10,11,12],[4,6,9]]=>[[1,2,3,4,6,7,9,11,12],[5,8,10]]
[[1,4],[2,6],[3],[5],[7],[8],[9],[10],[11],[12]]=>[[1,2,3,5,7,8,9,10,11,12],[4,6]]=>[[1,2,3,4,5,6,7,9,11,12],[8,10]]
[[1,4],[2,9],[3,10],[5],[6],[7],[8],[11],[12]]=>[[1,2,3,5,6,7,8,11,12],[4,9,10]]=>[[1,2,3,4,7,8,9,11,12],[5,6,10]]
[[1,4],[2,8],[3,10],[5],[6],[7],[9],[11],[12]]=>[[1,2,3,5,6,7,9,11,12],[4,8,10]]=>[[1,2,3,5,7,8,9,11,12],[4,6,10]]
[[1,4],[2,8],[3,9],[5],[6],[7],[10],[11],[12]]=>[[1,2,3,5,6,7,10,11,12],[4,8,9]]=>[[1,2,3,4,5,8,9,11,12],[6,7,10]]
[[1,4],[2,7],[3,10],[5],[6],[8],[9],[11],[12]]=>[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>[[1,2,3,5,6,8,9,11,12],[4,7,10]]
[[1,4],[2,7],[3,9],[5],[6],[8],[10],[11],[12]]=>[[1,2,3,5,6,8,10,11,12],[4,7,9]]=>[[1,2,3,4,6,8,9,11,12],[5,7,10]]
[[1,4],[2,7],[3],[5],[6],[8],[9],[10],[11],[12]]=>[[1,2,3,5,6,8,9,10,11,12],[4,7]]=>[[1,2,3,4,5,6,8,9,11,12],[7,10]]
[[1,4],[2,10],[3],[5],[6],[7],[8],[9],[11],[12]]=>[[1,2,3,5,6,7,8,9,11,12],[4,10]]=>[[1,2,3,5,6,7,8,9,11,12],[4,10]]
[[1,4],[2,9],[3],[5],[6],[7],[8],[10],[11],[12]]=>[[1,2,3,5,6,7,8,10,11,12],[4,9]]=>[[1,2,3,4,6,7,8,9,11,12],[5,10]]
[[1,4],[2,8],[3],[5],[6],[7],[9],[10],[11],[12]]=>[[1,2,3,5,6,7,9,10,11,12],[4,8]]=>[[1,2,3,4,5,7,8,9,11,12],[6,10]]
[[1,4],[2],[3],[5],[6],[7],[8],[9],[10],[11],[12]]=>[[1,2,3,5,6,7,8,9,10,11,12],[4]]=>[[1,2,3,4,5,6,7,8,9,11,12],[10]]
[[1,6],[2,9],[3,10],[4],[5],[7],[8],[11],[12]]=>[[1,2,3,4,5,7,8,11,12],[6,9,10]]=>[[1,2,3,4,7,9,10,11,12],[5,6,8]]
[[1,6],[2,8],[3,10],[4],[5],[7],[9],[11],[12]]=>[[1,2,3,4,5,7,9,11,12],[6,8,10]]=>[[1,2,3,5,7,9,10,11,12],[4,6,8]]
[[1,6],[2,8],[3,9],[4],[5],[7],[10],[11],[12]]=>[[1,2,3,4,5,7,10,11,12],[6,8,9]]=>[[1,2,3,4,5,7,10,11,12],[6,8,9]]
[[1,6],[2,7],[3],[4],[5],[8],[9],[10],[11],[12]]=>[[1,2,3,4,5,8,9,10,11,12],[6,7]]=>[[1,2,3,4,5,6,7,10,11,12],[8,9]]
[[1,5],[2,9],[3,10],[4],[6],[7],[8],[11],[12]]=>[[1,2,3,4,6,7,8,11,12],[5,9,10]]=>[[1,2,3,4,7,8,10,11,12],[5,6,9]]
[[1,5],[2,8],[3,10],[4],[6],[7],[9],[11],[12]]=>[[1,2,3,4,6,7,9,11,12],[5,8,10]]=>[[1,2,3,5,7,8,10,11,12],[4,6,9]]
[[1,5],[2,8],[3,9],[4],[6],[7],[10],[11],[12]]=>[[1,2,3,4,6,7,10,11,12],[5,8,9]]=>[[1,2,3,4,5,8,10,11,12],[6,7,9]]
[[1,5],[2,7],[3,10],[4],[6],[8],[9],[11],[12]]=>[[1,2,3,4,6,8,9,11,12],[5,7,10]]=>[[1,2,3,5,6,8,10,11,12],[4,7,9]]
[[1,5],[2,7],[3,9],[4],[6],[8],[10],[11],[12]]=>[[1,2,3,4,6,8,10,11,12],[5,7,9]]=>[[1,2,3,4,6,8,10,11,12],[5,7,9]]
[[1,5],[2,7],[3],[4],[6],[8],[9],[10],[11],[12]]=>[[1,2,3,4,6,8,9,10,11,12],[5,7]]=>[[1,2,3,4,5,6,8,10,11,12],[7,9]]
[[1,5],[2,10],[3],[4],[6],[7],[8],[9],[11],[12]]=>[[1,2,3,4,6,7,8,9,11,12],[5,10]]=>[[1,2,3,5,6,7,8,10,11,12],[4,9]]
[[1,5],[2,9],[3],[4],[6],[7],[8],[10],[11],[12]]=>[[1,2,3,4,6,7,8,10,11,12],[5,9]]=>[[1,2,3,4,6,7,8,10,11,12],[5,9]]
[[1,5],[2,8],[3],[4],[6],[7],[9],[10],[11],[12]]=>[[1,2,3,4,6,7,9,10,11,12],[5,8]]=>[[1,2,3,4,5,7,8,10,11,12],[6,9]]
[[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]]=>[[1,2,3,4,6,7,8,9,10,11,12],[5]]=>[[1,2,3,4,5,6,7,8,10,11,12],[9]]
[[1,9],[2,10],[3],[4],[5],[6],[7],[8],[11],[12]]=>[[1,2,3,4,5,6,7,8,11,12],[9,10]]=>[[1,2,3,4,7,8,9,10,11,12],[5,6]]
[[1,8],[2,10],[3],[4],[5],[6],[7],[9],[11],[12]]=>[[1,2,3,4,5,6,7,9,11,12],[8,10]]=>[[1,2,3,5,7,8,9,10,11,12],[4,6]]
[[1,8],[2,9],[3],[4],[5],[6],[7],[10],[11],[12]]=>[[1,2,3,4,5,6,7,10,11,12],[8,9]]=>[[1,2,3,4,5,8,9,10,11,12],[6,7]]
[[1,7],[2,10],[3],[4],[5],[6],[8],[9],[11],[12]]=>[[1,2,3,4,5,6,8,9,11,12],[7,10]]=>[[1,2,3,5,6,8,9,10,11,12],[4,7]]
[[1,7],[2,9],[3],[4],[5],[6],[8],[10],[11],[12]]=>[[1,2,3,4,5,6,8,10,11,12],[7,9]]=>[[1,2,3,4,6,8,9,10,11,12],[5,7]]
[[1,7],[2,8],[3],[4],[5],[6],[9],[10],[11],[12]]=>[[1,2,3,4,5,6,9,10,11,12],[7,8]]=>[[1,2,3,4,5,6,9,10,11,12],[7,8]]
[[1,6],[2,10],[3],[4],[5],[7],[8],[9],[11],[12]]=>[[1,2,3,4,5,7,8,9,11,12],[6,10]]=>[[1,2,3,5,6,7,9,10,11,12],[4,8]]
[[1,6],[2,9],[3],[4],[5],[7],[8],[10],[11],[12]]=>[[1,2,3,4,5,7,8,10,11,12],[6,9]]=>[[1,2,3,4,6,7,9,10,11,12],[5,8]]
[[1,6],[2,8],[3],[4],[5],[7],[9],[10],[11],[12]]=>[[1,2,3,4,5,7,9,10,11,12],[6,8]]=>[[1,2,3,4,5,7,9,10,11,12],[6,8]]
[[1,6],[2],[3],[4],[5],[7],[8],[9],[10],[11],[12]]=>[[1,2,3,4,5,7,8,9,10,11,12],[6]]=>[[1,2,3,4,5,6,7,9,10,11,12],[8]]
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9],[11],[12]]=>[[1,2,3,4,5,6,7,8,9,11,12],[10]]=>[[1,2,3,5,6,7,8,9,10,11,12],[4]]
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]]=>[[1,2,3,4,5,6,7,8,10,11,12],[9]]=>[[1,2,3,4,6,7,8,9,10,11,12],[5]]
[[1,8],[2],[3],[4],[5],[6],[7],[9],[10],[11],[12]]=>[[1,2,3,4,5,6,7,9,10,11,12],[8]]=>[[1,2,3,4,5,7,8,9,10,11,12],[6]]
[[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]]=>[[1,2,3,4,5,6,8,9,10,11,12],[7]]=>[[1,2,3,4,5,6,8,9,10,11,12],[7]]
[[1,2,4],[3],[5],[6],[7],[8],[9]]=>[[1,3,5,6,7,8,9],[2],[4]]=>[[1,2,3,4,5,6,8],[7],[9]]
[[1,2,3,5],[4],[6],[7],[8],[9]]=>[[1,4,6,7,8,9],[2],[3],[5]]=>[[1,2,3,4,5,7],[6],[8],[9]]
[[1,2,3,4,6],[5],[7],[8],[9]]=>[[1,5,7,8,9],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7],[8],[9]]
[[1,2,3,4,5,7],[6],[8],[9]]=>[[1,6,8,9],[2],[3],[4],[5],[7]]=>[[1,2,3,5],[4],[6],[7],[8],[9]]
[[1,2,4,6,9],[3,5,8],[7]]=>[[1,3,7],[2,5],[4,8],[6],[9]]=>[[1,4,6],[2,5],[3,8],[7],[9]]
[[1,2,3,4,5,6,8],[7],[9]]=>[[1,7,9],[2],[3],[4],[5],[6],[8]]=>[[1,2,4],[3],[5],[6],[7],[8],[9]]
[[1,2,3,5,7,9],[4,6,8]]=>[[1,4],[2,6],[3,8],[5],[7],[9]]=>[[1,3],[2,5],[4,7],[6],[8],[9]]
[[1,2,3,4,5,7,9],[6,8]]=>[[1,6],[2,8],[3],[4],[5],[7],[9]]=>[[1,3],[2,5],[4],[6],[7],[8],[9]]
[[1,2],[3,5],[4],[6],[7],[8],[9],[10]]=>[[1,3,4,6,7,8,9,10],[2,5]]=>[[1,2,3,4,5,6,8,9],[7,10]]
[[1,2,4],[3],[5],[6],[7],[8],[9],[10]]=>[[1,3,5,6,7,8,9,10],[2],[4]]=>[[1,2,3,4,5,6,7,9],[8],[10]]
[[1,2],[3,4],[5,7],[6],[8],[9],[10]]=>[[1,3,5,6,8,9,10],[2,4,7]]=>[[1,2,3,4,6,7,9],[5,8,10]]
[[1,2,3,5],[4],[6],[7],[8],[9],[10]]=>[[1,4,6,7,8,9,10],[2],[3],[5]]=>[[1,2,3,4,5,6,8],[7],[9],[10]]
[[1,2],[3,4],[5,6],[7,9],[8],[10]]=>[[1,3,5,7,8,10],[2,4,6,9]]=>[[1,2,4,5,7,9],[3,6,8,10]]
[[1,2,3,4,6],[5],[7],[8],[9],[10]]=>[[1,5,7,8,9,10],[2],[3],[4],[6]]=>[[1,2,3,4,5,7],[6],[8],[9],[10]]
[[1,2,3,4,5,7],[6],[8],[9],[10]]=>[[1,6,8,9,10],[2],[3],[4],[5],[7]]=>[[1,2,3,4,6],[5],[7],[8],[9],[10]]
[[1,2,4,5],[3,8],[6,9],[7,10]]=>[[1,3,6,7],[2,8,9,10],[4],[5]]=>[[1,2,3,6],[4,5,7,9],[8],[10]]
[[1,2,3,5,6],[4,8],[7,10],[9]]=>[[1,4,7,9],[2,8,10],[3],[5],[6]]=>[[1,3,5,8],[2,4,6],[7],[9],[10]]
[[1,2,3,4,5,6,8],[7],[9],[10]]=>[[1,7,9,10],[2],[3],[4],[5],[6],[8]]=>[[1,2,3,5],[4],[6],[7],[8],[9],[10]]
[[1,2,3,4,6,7],[5,9],[8,10]]=>[[1,5,8],[2,9,10],[3],[4],[6],[7]]=>[[1,2,4],[3,5,7],[6],[8],[9],[10]]
[[1,2,3,4,5,6,7,9],[8],[10]]=>[[1,8,10],[2],[3],[4],[5],[6],[7],[9]]=>[[1,2,4],[3],[5],[6],[7],[8],[9],[10]]
[[1,2,8],[3,9],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2,9],[8]]=>[[1,2,5,6,7,8],[3,4],[9]]
[[1,2,7],[3,8],[4,9],[5],[6]]=>[[1,3,4,5,6],[2,8,9],[7]]=>[[1,2,3,7,8],[4,5,6],[9]]
[[1,2,7,9],[3,8],[4],[5],[6]]=>[[1,3,4,5,6],[2,8],[7],[9]]=>[[1,3,6,7,8],[2,5],[4],[9]]
[[1,2,6,9],[3,7],[4,8],[5]]=>[[1,3,4,5],[2,7,8],[6],[9]]=>[[1,3,4,8],[2,6,7],[5],[9]]
[[1,2,6,8],[3,7,9],[4],[5]]=>[[1,3,4,5],[2,7],[6,9],[8]]=>[[1,2,7,8],[3,4],[5,6],[9]]
[[1,2,6,8,9],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6],[8],[9]]=>[[1,4,7,8],[2,6],[3],[5],[9]]
[[1,2,5,8],[3,6,9],[4,7]]=>[[1,3,4],[2,6,7],[5,9],[8]]=>[[1,2,5],[3,4,8],[6,7],[9]]
[[1,2,5,8,9],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5],[8],[9]]=>[[1,4,5],[2,7,8],[3],[6],[9]]
[[1,2,5,7,8,9],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7],[8],[9]]=>[[1,5,8],[2,7],[3],[4],[6],[9]]
[[1,2,4,6,8,9],[3,5,7]]=>[[1,3],[2,5],[4,7],[6],[8],[9]]=>[[1,4],[2,6],[3,8],[5],[7],[9]]
[[1,2,4,6,7,8,9],[3,5]]=>[[1,3],[2,5],[4],[6],[7],[8],[9]]=>[[1,6],[2,8],[3],[4],[5],[7],[9]]
[[1,2,9],[3,10],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2,10],[9]]=>[[1,2,5,6,7,8,9],[3,4],[10]]
[[1,2,8],[3,9],[4,10],[5],[6],[7]]=>[[1,3,4,5,6,7],[2,9,10],[8]]=>[[1,2,3,7,8,9],[4,5,6],[10]]
[[1,2,8,10],[3,9],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2,9],[8],[10]]=>[[1,3,6,7,8,9],[2,5],[4],[10]]
[[1,2,7],[3,8],[4,9],[5,10],[6]]=>[[1,3,4,5,6],[2,8,9,10],[7]]=>[[1,2,3,4,9],[5,6,7,8],[10]]
[[1,2,7,10],[3,8],[4,9],[5],[6]]=>[[1,3,4,5,6],[2,8,9],[7],[10]]=>[[1,3,4,8,9],[2,6,7],[5],[10]]
[[1,2,7,9],[3,8,10],[4],[5],[6]]=>[[1,3,4,5,6],[2,8],[7,10],[9]]=>[[1,2,7,8,9],[3,4],[5,6],[10]]
[[1,2,7,9,10],[3,8],[4],[5],[6]]=>[[1,3,4,5,6],[2,8],[7],[9],[10]]=>[[1,4,7,8,9],[2,6],[3],[5],[10]]
[[1,2,6,10],[3,7],[4,8],[5,9]]=>[[1,3,4,5],[2,7,8,9],[6],[10]]=>[[1,3,4,5],[2,7,8,9],[6],[10]]
[[1,2,6,9],[3,7,10],[4,8],[5]]=>[[1,3,4,5],[2,7,8],[6,10],[9]]=>[[1,2,5,9],[3,4,8],[6,7],[10]]
[[1,2,6,9,10],[3,7],[4,8],[5]]=>[[1,3,4,5],[2,7,8],[6],[9],[10]]=>[[1,4,5,9],[2,7,8],[3],[6],[10]]
[[1,2,6,8,10],[3,7,9],[4],[5]]=>[[1,3,4,5],[2,7],[6,9],[8],[10]]=>[[1,3,8,9],[2,5],[4,7],[6],[10]]
[[1,2,6,8,9,10],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6],[8],[9],[10]]=>[[1,5,8,9],[2,7],[3],[4],[6],[10]]
[[1,2,5,8,10],[3,6,9],[4,7]]=>[[1,3,4],[2,6,7],[5,9],[8],[10]]=>[[1,3,6],[2,5,9],[4,8],[7],[10]]
[[1,2,5,8,9,10],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5],[8],[9],[10]]=>[[1,5,6],[2,8,9],[3],[4],[7],[10]]
[[1,2,5,7,9],[3,6,8,10],[4]]=>[[1,3,4],[2,6],[5,8],[7,10],[9]]=>[[1,2,9],[3,4],[5,6],[7,8],[10]]
[[1,2,5,7,8,9,10],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7],[8],[9],[10]]=>[[1,6,9],[2,8],[3],[4],[5],[7],[10]]
[[1,2,3,4],[5,6],[7,9],[8,10]]=>[[1,5,7,8],[2,6,9,10],[3],[4]]=>[[1,2,5,7],[3,4,6,8],[9],[10]]
[[1,2,3,4],[5,7],[6,8],[9,10]]=>[[1,5,6,9],[2,7,8,10],[3],[4]]=>[[1,3,4,7],[2,5,6,8],[9],[10]]
[[1,2,3,4],[5,7],[6,9],[8,10]]=>[[1,5,6,8],[2,7,9,10],[3],[4]]=>[[1,2,4,7],[3,5,6,8],[9],[10]]
[[1,2,3,4],[5,8],[6,9],[7,10]]=>[[1,5,6,7],[2,8,9,10],[3],[4]]=>[[1,2,3,7],[4,5,6,8],[9],[10]]
[[1,2,3,5],[4,6],[7,8],[9,10]]=>[[1,4,7,9],[2,6,8,10],[3],[5]]=>[[1,3,5,6],[2,4,7,8],[9],[10]]
[[1,2,3,5],[4,6],[7,9],[8,10]]=>[[1,4,7,8],[2,6,9,10],[3],[5]]=>[[1,2,5,6],[3,4,7,8],[9],[10]]
[[1,2,3,5],[4,7],[6,8],[9,10]]=>[[1,4,6,9],[2,7,8,10],[3],[5]]=>[[1,3,4,6],[2,5,7,8],[9],[10]]
[[1,2,3,5],[4,7],[6,9],[8,10]]=>[[1,4,6,8],[2,7,9,10],[3],[5]]=>[[1,2,4,6],[3,5,7,8],[9],[10]]
[[1,2,3,5],[4,8],[6,9],[7,10]]=>[[1,4,6,7],[2,8,9,10],[3],[5]]=>[[1,2,3,6],[4,5,7,8],[9],[10]]
[[1,2,3,6],[4,7],[5,8],[9,10]]=>[[1,4,5,9],[2,7,8,10],[3],[6]]=>[[1,3,4,5],[2,6,7,8],[9],[10]]
[[1,2,3,6],[4,7],[5,9],[8,10]]=>[[1,4,5,8],[2,7,9,10],[3],[6]]=>[[1,2,4,5],[3,6,7,8],[9],[10]]
[[1,2,3,6],[4,8],[5,9],[7,10]]=>[[1,4,5,7],[2,8,9,10],[3],[6]]=>[[1,2,3,5],[4,6,7,8],[9],[10]]
[[1,2,4,6],[3,5],[7,8],[9,10]]=>[[1,3,7,9],[2,5,8,10],[4],[6]]=>[[1,3,5,7],[2,4,6,9],[8],[10]]
[[1,2,4,6],[3,5],[7,9],[8,10]]=>[[1,3,7,8],[2,5,9,10],[4],[6]]=>[[1,2,5,7],[3,4,6,9],[8],[10]]
[[1,2,4,7],[3,5],[6,8],[9,10]]=>[[1,3,6,9],[2,5,8,10],[4],[7]]=>[[1,3,4,7],[2,5,6,9],[8],[10]]
[[1,2,4,7],[3,5],[6,9],[8,10]]=>[[1,3,6,8],[2,5,9,10],[4],[7]]=>[[1,2,4,7],[3,5,6,9],[8],[10]]
[[1,2,4,8],[3,5],[6,9],[7,10]]=>[[1,3,6,7],[2,5,9,10],[4],[8]]=>[[1,2,3,7],[4,5,6,9],[8],[10]]
[[1,2,4,5],[3,6],[7,8],[9,10]]=>[[1,3,7,9],[2,6,8,10],[4],[5]]=>[[1,3,5,6],[2,4,7,9],[8],[10]]
[[1,2,4,5],[3,6],[7,9],[8,10]]=>[[1,3,7,8],[2,6,9,10],[4],[5]]=>[[1,2,5,6],[3,4,7,9],[8],[10]]
[[1,2,4,5],[3,7],[6,8],[9,10]]=>[[1,3,6,9],[2,7,8,10],[4],[5]]=>[[1,3,4,6],[2,5,7,9],[8],[10]]
[[1,2,4,5],[3,7],[6,9],[8,10]]=>[[1,3,6,8],[2,7,9,10],[4],[5]]=>[[1,2,4,6],[3,5,7,9],[8],[10]]
[[1,2,4,6],[3,7],[5,8],[9,10]]=>[[1,3,5,9],[2,7,8,10],[4],[6]]=>[[1,3,4,5],[2,6,7,9],[8],[10]]
[[1,2,4,6],[3,7],[5,9],[8,10]]=>[[1,3,5,8],[2,7,9,10],[4],[6]]=>[[1,2,4,5],[3,6,7,9],[8],[10]]
[[1,2,4,6],[3,8],[5,9],[7,10]]=>[[1,3,5,7],[2,8,9,10],[4],[6]]=>[[1,2,3,5],[4,6,7,9],[8],[10]]
[[1,2,4,7],[3,8],[5,9],[6,10]]=>[[1,3,5,6],[2,8,9,10],[4],[7]]=>[[1,2,3,4],[5,6,7,9],[8],[10]]
[[1,2,5,8],[3,6],[4,7],[9,10]]=>[[1,3,4,9],[2,6,7,10],[5],[8]]=>[[1,3,5,6],[2,4,8,9],[7],[10]]
[[1,2,5,9],[3,6],[4,7],[8,10]]=>[[1,3,4,8],[2,6,7,10],[5],[9]]=>[[1,2,5,6],[3,4,8,9],[7],[10]]
[[1,2,5,7],[3,6],[4,8],[9,10]]=>[[1,3,4,9],[2,6,8,10],[5],[7]]=>[[1,3,4,6],[2,5,8,9],[7],[10]]
[[1,2,5,7],[3,6],[4,9],[8,10]]=>[[1,3,4,8],[2,6,9,10],[5],[7]]=>[[1,2,4,6],[3,5,8,9],[7],[10]]
[[1,2,5,8],[3,6],[4,9],[7,10]]=>[[1,3,4,7],[2,6,9,10],[5],[8]]=>[[1,2,3,6],[4,5,8,9],[7],[10]]
[[1,2,5,6],[3,7],[4,8],[9,10]]=>[[1,3,4,9],[2,7,8,10],[5],[6]]=>[[1,3,4,5],[2,6,8,9],[7],[10]]
[[1,2,5,6],[3,7],[4,9],[8,10]]=>[[1,3,4,8],[2,7,9,10],[5],[6]]=>[[1,2,4,5],[3,6,8,9],[7],[10]]
[[1,2,5,6],[3,8],[4,9],[7,10]]=>[[1,3,4,7],[2,8,9,10],[5],[6]]=>[[1,2,3,5],[4,6,8,9],[7],[10]]
[[1,2,5,7],[3,8],[4,9],[6,10]]=>[[1,3,4,6],[2,8,9,10],[5],[7]]=>[[1,2,3,4],[5,6,8,9],[7],[10]]
[[1,2,6,9],[3,7],[4,8],[5,10]]=>[[1,3,4,5],[2,7,8,10],[6],[9]]=>[[1,2,4,5],[3,7,8,9],[6],[10]]
[[1,2,6,8],[3,7],[4,9],[5,10]]=>[[1,3,4,5],[2,7,9,10],[6],[8]]=>[[1,2,3,5],[4,7,8,9],[6],[10]]
[[1,2,6,7],[3,8],[4,9],[5,10]]=>[[1,3,4,5],[2,8,9,10],[6],[7]]=>[[1,2,3,4],[5,7,8,9],[6],[10]]
[[1,2,3,4],[5,6],[7,8],[9,11],[10,12]]=>[[1,5,7,9,10],[2,6,8,11,12],[3],[4]]=>[[1,2,5,7,9],[3,4,6,8,10],[11],[12]]
[[1,2,3,4],[5,6],[7,9],[8,10],[11,12]]=>[[1,5,7,8,11],[2,6,9,10,12],[3],[4]]=>[[1,3,4,7,9],[2,5,6,8,10],[11],[12]]
[[1,2,3,4],[5,6],[7,9],[8,11],[10,12]]=>[[1,5,7,8,10],[2,6,9,11,12],[3],[4]]=>[[1,2,4,7,9],[3,5,6,8,10],[11],[12]]
[[1,2,3,4],[5,6],[7,10],[8,11],[9,12]]=>[[1,5,7,8,9],[2,6,10,11,12],[3],[4]]=>[[1,2,3,7,9],[4,5,6,8,10],[11],[12]]
[[1,2,3,4],[5,7],[6,8],[9,10],[11,12]]=>[[1,5,6,9,11],[2,7,8,10,12],[3],[4]]=>[[1,3,5,6,9],[2,4,7,8,10],[11],[12]]
[[1,2,3,4],[5,7],[6,8],[9,11],[10,12]]=>[[1,5,6,9,10],[2,7,8,11,12],[3],[4]]=>[[1,2,5,6,9],[3,4,7,8,10],[11],[12]]
[[1,2,3,4],[5,7],[6,9],[8,10],[11,12]]=>[[1,5,6,8,11],[2,7,9,10,12],[3],[4]]=>[[1,3,4,6,9],[2,5,7,8,10],[11],[12]]
[[1,2,3,4],[5,7],[6,9],[8,11],[10,12]]=>[[1,5,6,8,10],[2,7,9,11,12],[3],[4]]=>[[1,2,4,6,9],[3,5,7,8,10],[11],[12]]
[[1,2,3,4],[5,7],[6,10],[8,11],[9,12]]=>[[1,5,6,8,9],[2,7,10,11,12],[3],[4]]=>[[1,2,3,6,9],[4,5,7,8,10],[11],[12]]
[[1,2,3,4],[5,8],[6,9],[7,10],[11,12]]=>[[1,5,6,7,11],[2,8,9,10,12],[3],[4]]=>[[1,3,4,5,9],[2,6,7,8,10],[11],[12]]
[[1,2,3,4],[5,8],[6,9],[7,11],[10,12]]=>[[1,5,6,7,10],[2,8,9,11,12],[3],[4]]=>[[1,2,4,5,9],[3,6,7,8,10],[11],[12]]
[[1,2,3,4],[5,8],[6,10],[7,11],[9,12]]=>[[1,5,6,7,9],[2,8,10,11,12],[3],[4]]=>[[1,2,3,5,9],[4,6,7,8,10],[11],[12]]
[[1,2,3,4],[5,9],[6,10],[7,11],[8,12]]=>[[1,5,6,7,8],[2,9,10,11,12],[3],[4]]=>[[1,2,3,4,9],[5,6,7,8,10],[11],[12]]
[[1,2,3,5],[4,6],[7,8],[9,10],[11,12]]=>[[1,4,7,9,11],[2,6,8,10,12],[3],[5]]=>[[1,3,5,7,8],[2,4,6,9,10],[11],[12]]
[[1,2,3,5],[4,6],[7,8],[9,11],[10,12]]=>[[1,4,7,9,10],[2,6,8,11,12],[3],[5]]=>[[1,2,5,7,8],[3,4,6,9,10],[11],[12]]
[[1,2,3,5],[4,6],[7,9],[8,10],[11,12]]=>[[1,4,7,8,11],[2,6,9,10,12],[3],[5]]=>[[1,3,4,7,8],[2,5,6,9,10],[11],[12]]
[[1,2,3,5],[4,6],[7,9],[8,11],[10,12]]=>[[1,4,7,8,10],[2,6,9,11,12],[3],[5]]=>[[1,2,4,7,8],[3,5,6,9,10],[11],[12]]
[[1,2,3,5],[4,6],[7,10],[8,11],[9,12]]=>[[1,4,7,8,9],[2,6,10,11,12],[3],[5]]=>[[1,2,3,7,8],[4,5,6,9,10],[11],[12]]
[[1,2,3,5],[4,7],[6,8],[9,10],[11,12]]=>[[1,4,6,9,11],[2,7,8,10,12],[3],[5]]=>[[1,3,5,6,8],[2,4,7,9,10],[11],[12]]
[[1,2,3,5],[4,7],[6,8],[9,11],[10,12]]=>[[1,4,6,9,10],[2,7,8,11,12],[3],[5]]=>[[1,2,5,6,8],[3,4,7,9,10],[11],[12]]
[[1,2,3,5],[4,7],[6,9],[8,10],[11,12]]=>[[1,4,6,8,11],[2,7,9,10,12],[3],[5]]=>[[1,3,4,6,8],[2,5,7,9,10],[11],[12]]
[[1,2,3,5],[4,7],[6,9],[8,11],[10,12]]=>[[1,4,6,8,10],[2,7,9,11,12],[3],[5]]=>[[1,2,4,6,8],[3,5,7,9,10],[11],[12]]
[[1,2,3,5],[4,7],[6,10],[8,11],[9,12]]=>[[1,4,6,8,9],[2,7,10,11,12],[3],[5]]=>[[1,2,3,6,8],[4,5,7,9,10],[11],[12]]
[[1,2,3,5],[4,8],[6,9],[7,10],[11,12]]=>[[1,4,6,7,11],[2,8,9,10,12],[3],[5]]=>[[1,3,4,5,8],[2,6,7,9,10],[11],[12]]
[[1,2,3,5],[4,8],[6,9],[7,11],[10,12]]=>[[1,4,6,7,10],[2,8,9,11,12],[3],[5]]=>[[1,2,4,5,8],[3,6,7,9,10],[11],[12]]
[[1,2,3,5],[4,8],[6,10],[7,11],[9,12]]=>[[1,4,6,7,9],[2,8,10,11,12],[3],[5]]=>[[1,2,3,5,8],[4,6,7,9,10],[11],[12]]
[[1,2,3,5],[4,9],[6,10],[7,11],[8,12]]=>[[1,4,6,7,8],[2,9,10,11,12],[3],[5]]=>[[1,2,3,4,8],[5,6,7,9,10],[11],[12]]
[[1,2,3,6],[4,7],[5,8],[9,10],[11,12]]=>[[1,4,5,9,11],[2,7,8,10,12],[3],[6]]=>[[1,3,5,6,7],[2,4,8,9,10],[11],[12]]
[[1,2,3,6],[4,7],[5,8],[9,11],[10,12]]=>[[1,4,5,9,10],[2,7,8,11,12],[3],[6]]=>[[1,2,5,6,7],[3,4,8,9,10],[11],[12]]
[[1,2,3,6],[4,7],[5,9],[8,10],[11,12]]=>[[1,4,5,8,11],[2,7,9,10,12],[3],[6]]=>[[1,3,4,6,7],[2,5,8,9,10],[11],[12]]
[[1,2,3,6],[4,7],[5,9],[8,11],[10,12]]=>[[1,4,5,8,10],[2,7,9,11,12],[3],[6]]=>[[1,2,4,6,7],[3,5,8,9,10],[11],[12]]
[[1,2,3,6],[4,7],[5,10],[8,11],[9,12]]=>[[1,4,5,8,9],[2,7,10,11,12],[3],[6]]=>[[1,2,3,6,7],[4,5,8,9,10],[11],[12]]
[[1,2,3,6],[4,8],[5,9],[7,10],[11,12]]=>[[1,4,5,7,11],[2,8,9,10,12],[3],[6]]=>[[1,3,4,5,7],[2,6,8,9,10],[11],[12]]
[[1,2,3,6],[4,8],[5,9],[7,11],[10,12]]=>[[1,4,5,7,10],[2,8,9,11,12],[3],[6]]=>[[1,2,4,5,7],[3,6,8,9,10],[11],[12]]
[[1,2,3,6],[4,8],[5,10],[7,11],[9,12]]=>[[1,4,5,7,9],[2,8,10,11,12],[3],[6]]=>[[1,2,3,5,7],[4,6,8,9,10],[11],[12]]
[[1,2,3,6],[4,9],[5,10],[7,11],[8,12]]=>[[1,4,5,7,8],[2,9,10,11,12],[3],[6]]=>[[1,2,3,4,7],[5,6,8,9,10],[11],[12]]
[[1,2,3,7],[4,8],[5,9],[6,10],[11,12]]=>[[1,4,5,6,11],[2,8,9,10,12],[3],[7]]=>[[1,3,4,5,6],[2,7,8,9,10],[11],[12]]
[[1,2,3,7],[4,8],[5,9],[6,11],[10,12]]=>[[1,4,5,6,10],[2,8,9,11,12],[3],[7]]=>[[1,2,4,5,6],[3,7,8,9,10],[11],[12]]
[[1,2,3,7],[4,8],[5,10],[6,11],[9,12]]=>[[1,4,5,6,9],[2,8,10,11,12],[3],[7]]=>[[1,2,3,5,6],[4,7,8,9,10],[11],[12]]
[[1,2,3,7],[4,9],[5,10],[6,11],[8,12]]=>[[1,4,5,6,8],[2,9,10,11,12],[3],[7]]=>[[1,2,3,4,6],[5,7,8,9,10],[11],[12]]
[[1,2,3,8],[4,9],[5,10],[6,11],[7,12]]=>[[1,4,5,6,7],[2,9,10,11,12],[3],[8]]=>[[1,2,3,4,5],[6,7,8,9,10],[11],[12]]
[[1,2,4,6],[3,5],[7,8],[9,10],[11,12]]=>[[1,3,7,9,11],[2,5,8,10,12],[4],[6]]=>[[1,3,5,7,9],[2,4,6,8,11],[10],[12]]
[[1,2,4,6],[3,5],[7,8],[9,11],[10,12]]=>[[1,3,7,9,10],[2,5,8,11,12],[4],[6]]=>[[1,2,5,7,9],[3,4,6,8,11],[10],[12]]
[[1,2,4,6],[3,5],[7,9],[8,10],[11,12]]=>[[1,3,7,8,11],[2,5,9,10,12],[4],[6]]=>[[1,3,4,7,9],[2,5,6,8,11],[10],[12]]
[[1,2,4,6],[3,5],[7,9],[8,11],[10,12]]=>[[1,3,7,8,10],[2,5,9,11,12],[4],[6]]=>[[1,2,4,7,9],[3,5,6,8,11],[10],[12]]
[[1,2,4,6],[3,5],[7,10],[8,11],[9,12]]=>[[1,3,7,8,9],[2,5,10,11,12],[4],[6]]=>[[1,2,3,7,9],[4,5,6,8,11],[10],[12]]
[[1,2,4,7],[3,5],[6,8],[9,10],[11,12]]=>[[1,3,6,9,11],[2,5,8,10,12],[4],[7]]=>[[1,3,5,6,9],[2,4,7,8,11],[10],[12]]
[[1,2,4,7],[3,5],[6,8],[9,11],[10,12]]=>[[1,3,6,9,10],[2,5,8,11,12],[4],[7]]=>[[1,2,5,6,9],[3,4,7,8,11],[10],[12]]
[[1,2,4,7],[3,5],[6,9],[8,10],[11,12]]=>[[1,3,6,8,11],[2,5,9,10,12],[4],[7]]=>[[1,3,4,6,9],[2,5,7,8,11],[10],[12]]
[[1,2,4,7],[3,5],[6,9],[8,11],[10,12]]=>[[1,3,6,8,10],[2,5,9,11,12],[4],[7]]=>[[1,2,4,6,9],[3,5,7,8,11],[10],[12]]
[[1,2,4,7],[3,5],[6,10],[8,11],[9,12]]=>[[1,3,6,8,9],[2,5,10,11,12],[4],[7]]=>[[1,2,3,6,9],[4,5,7,8,11],[10],[12]]
[[1,2,4,8],[3,5],[6,9],[7,10],[11,12]]=>[[1,3,6,7,11],[2,5,9,10,12],[4],[8]]=>[[1,3,4,5,9],[2,6,7,8,11],[10],[12]]
[[1,2,4,8],[3,5],[6,9],[7,11],[10,12]]=>[[1,3,6,7,10],[2,5,9,11,12],[4],[8]]=>[[1,2,4,5,9],[3,6,7,8,11],[10],[12]]
[[1,2,4,8],[3,5],[6,10],[7,11],[9,12]]=>[[1,3,6,7,9],[2,5,10,11,12],[4],[8]]=>[[1,2,3,5,9],[4,6,7,8,11],[10],[12]]
[[1,2,4,9],[3,5],[6,10],[7,11],[8,12]]=>[[1,3,6,7,8],[2,5,10,11,12],[4],[9]]=>[[1,2,3,4,9],[5,6,7,8,11],[10],[12]]
[[1,2,4,5],[3,6],[7,8],[9,10],[11,12]]=>[[1,3,7,9,11],[2,6,8,10,12],[4],[5]]=>[[1,3,5,7,8],[2,4,6,9,11],[10],[12]]
[[1,2,4,5],[3,6],[7,8],[9,11],[10,12]]=>[[1,3,7,9,10],[2,6,8,11,12],[4],[5]]=>[[1,2,5,7,8],[3,4,6,9,11],[10],[12]]
[[1,2,4,5],[3,6],[7,9],[8,10],[11,12]]=>[[1,3,7,8,11],[2,6,9,10,12],[4],[5]]=>[[1,3,4,7,8],[2,5,6,9,11],[10],[12]]
[[1,2,4,5],[3,6],[7,9],[8,11],[10,12]]=>[[1,3,7,8,10],[2,6,9,11,12],[4],[5]]=>[[1,2,4,7,8],[3,5,6,9,11],[10],[12]]
[[1,2,4,5],[3,6],[7,10],[8,11],[9,12]]=>[[1,3,7,8,9],[2,6,10,11,12],[4],[5]]=>[[1,2,3,7,8],[4,5,6,9,11],[10],[12]]
[[1,2,4,5],[3,7],[6,8],[9,10],[11,12]]=>[[1,3,6,9,11],[2,7,8,10,12],[4],[5]]=>[[1,3,5,6,8],[2,4,7,9,11],[10],[12]]
[[1,2,4,5],[3,7],[6,8],[9,11],[10,12]]=>[[1,3,6,9,10],[2,7,8,11,12],[4],[5]]=>[[1,2,5,6,8],[3,4,7,9,11],[10],[12]]
[[1,2,4,5],[3,7],[6,9],[8,10],[11,12]]=>[[1,3,6,8,11],[2,7,9,10,12],[4],[5]]=>[[1,3,4,6,8],[2,5,7,9,11],[10],[12]]
[[1,2,4,5],[3,7],[6,9],[8,11],[10,12]]=>[[1,3,6,8,10],[2,7,9,11,12],[4],[5]]=>[[1,2,4,6,8],[3,5,7,9,11],[10],[12]]
[[1,2,4,5],[3,7],[6,10],[8,11],[9,12]]=>[[1,3,6,8,9],[2,7,10,11,12],[4],[5]]=>[[1,2,3,6,8],[4,5,7,9,11],[10],[12]]
[[1,2,4,5],[3,8],[6,9],[7,10],[11,12]]=>[[1,3,6,7,11],[2,8,9,10,12],[4],[5]]=>[[1,3,4,5,8],[2,6,7,9,11],[10],[12]]
[[1,2,4,5],[3,8],[6,9],[7,11],[10,12]]=>[[1,3,6,7,10],[2,8,9,11,12],[4],[5]]=>[[1,2,4,5,8],[3,6,7,9,11],[10],[12]]
[[1,2,4,5],[3,8],[6,10],[7,11],[9,12]]=>[[1,3,6,7,9],[2,8,10,11,12],[4],[5]]=>[[1,2,3,5,8],[4,6,7,9,11],[10],[12]]
[[1,2,4,5],[3,9],[6,10],[7,11],[8,12]]=>[[1,3,6,7,8],[2,9,10,11,12],[4],[5]]=>[[1,2,3,4,8],[5,6,7,9,11],[10],[12]]
[[1,2,4,6],[3,7],[5,8],[9,10],[11,12]]=>[[1,3,5,9,11],[2,7,8,10,12],[4],[6]]=>[[1,3,5,6,7],[2,4,8,9,11],[10],[12]]
[[1,2,4,6],[3,7],[5,8],[9,11],[10,12]]=>[[1,3,5,9,10],[2,7,8,11,12],[4],[6]]=>[[1,2,5,6,7],[3,4,8,9,11],[10],[12]]
[[1,2,4,6],[3,7],[5,9],[8,10],[11,12]]=>[[1,3,5,8,11],[2,7,9,10,12],[4],[6]]=>[[1,3,4,6,7],[2,5,8,9,11],[10],[12]]
[[1,2,4,6],[3,7],[5,9],[8,11],[10,12]]=>[[1,3,5,8,10],[2,7,9,11,12],[4],[6]]=>[[1,2,4,6,7],[3,5,8,9,11],[10],[12]]
[[1,2,4,6],[3,7],[5,10],[8,11],[9,12]]=>[[1,3,5,8,9],[2,7,10,11,12],[4],[6]]=>[[1,2,3,6,7],[4,5,8,9,11],[10],[12]]
[[1,2,4,6],[3,8],[5,9],[7,10],[11,12]]=>[[1,3,5,7,11],[2,8,9,10,12],[4],[6]]=>[[1,3,4,5,7],[2,6,8,9,11],[10],[12]]
[[1,2,4,6],[3,8],[5,9],[7,11],[10,12]]=>[[1,3,5,7,10],[2,8,9,11,12],[4],[6]]=>[[1,2,4,5,7],[3,6,8,9,11],[10],[12]]
[[1,2,4,6],[3,8],[5,10],[7,11],[9,12]]=>[[1,3,5,7,9],[2,8,10,11,12],[4],[6]]=>[[1,2,3,5,7],[4,6,8,9,11],[10],[12]]
[[1,2,4,6],[3,9],[5,10],[7,11],[8,12]]=>[[1,3,5,7,8],[2,9,10,11,12],[4],[6]]=>[[1,2,3,4,7],[5,6,8,9,11],[10],[12]]
[[1,2,4,7],[3,8],[5,9],[6,10],[11,12]]=>[[1,3,5,6,11],[2,8,9,10,12],[4],[7]]=>[[1,3,4,5,6],[2,7,8,9,11],[10],[12]]
[[1,2,4,7],[3,8],[5,9],[6,11],[10,12]]=>[[1,3,5,6,10],[2,8,9,11,12],[4],[7]]=>[[1,2,4,5,6],[3,7,8,9,11],[10],[12]]
[[1,2,4,7],[3,8],[5,10],[6,11],[9,12]]=>[[1,3,5,6,9],[2,8,10,11,12],[4],[7]]=>[[1,2,3,5,6],[4,7,8,9,11],[10],[12]]
[[1,2,4,7],[3,9],[5,10],[6,11],[8,12]]=>[[1,3,5,6,8],[2,9,10,11,12],[4],[7]]=>[[1,2,3,4,6],[5,7,8,9,11],[10],[12]]
[[1,2,4,8],[3,9],[5,10],[6,11],[7,12]]=>[[1,3,5,6,7],[2,9,10,11,12],[4],[8]]=>[[1,2,3,4,5],[6,7,8,9,11],[10],[12]]
[[1,2,5,8],[3,6],[4,7],[9,10],[11,12]]=>[[1,3,4,9,11],[2,6,7,10,12],[5],[8]]=>[[1,3,5,7,8],[2,4,6,10,11],[9],[12]]
[[1,2,5,8],[3,6],[4,7],[9,11],[10,12]]=>[[1,3,4,9,10],[2,6,7,11,12],[5],[8]]=>[[1,2,5,7,8],[3,4,6,10,11],[9],[12]]
[[1,2,5,9],[3,6],[4,7],[8,10],[11,12]]=>[[1,3,4,8,11],[2,6,7,10,12],[5],[9]]=>[[1,3,4,7,8],[2,5,6,10,11],[9],[12]]
[[1,2,5,9],[3,6],[4,7],[8,11],[10,12]]=>[[1,3,4,8,10],[2,6,7,11,12],[5],[9]]=>[[1,2,4,7,8],[3,5,6,10,11],[9],[12]]
[[1,2,5,10],[3,6],[4,7],[8,11],[9,12]]=>[[1,3,4,8,9],[2,6,7,11,12],[5],[10]]=>[[1,2,3,7,8],[4,5,6,10,11],[9],[12]]
[[1,2,5,7],[3,6],[4,8],[9,10],[11,12]]=>[[1,3,4,9,11],[2,6,8,10,12],[5],[7]]=>[[1,3,5,6,8],[2,4,7,10,11],[9],[12]]
[[1,2,5,7],[3,6],[4,8],[9,11],[10,12]]=>[[1,3,4,9,10],[2,6,8,11,12],[5],[7]]=>[[1,2,5,6,8],[3,4,7,10,11],[9],[12]]
[[1,2,5,7],[3,6],[4,9],[8,10],[11,12]]=>[[1,3,4,8,11],[2,6,9,10,12],[5],[7]]=>[[1,3,4,6,8],[2,5,7,10,11],[9],[12]]
[[1,2,5,7],[3,6],[4,9],[8,11],[10,12]]=>[[1,3,4,8,10],[2,6,9,11,12],[5],[7]]=>[[1,2,4,6,8],[3,5,7,10,11],[9],[12]]
[[1,2,5,7],[3,6],[4,10],[8,11],[9,12]]=>[[1,3,4,8,9],[2,6,10,11,12],[5],[7]]=>[[1,2,3,6,8],[4,5,7,10,11],[9],[12]]
[[1,2,5,8],[3,6],[4,9],[7,10],[11,12]]=>[[1,3,4,7,11],[2,6,9,10,12],[5],[8]]=>[[1,3,4,5,8],[2,6,7,10,11],[9],[12]]
[[1,2,5,8],[3,6],[4,9],[7,11],[10,12]]=>[[1,3,4,7,10],[2,6,9,11,12],[5],[8]]=>[[1,2,4,5,8],[3,6,7,10,11],[9],[12]]
[[1,2,5,8],[3,6],[4,10],[7,11],[9,12]]=>[[1,3,4,7,9],[2,6,10,11,12],[5],[8]]=>[[1,2,3,5,8],[4,6,7,10,11],[9],[12]]
[[1,2,5,9],[3,6],[4,10],[7,11],[8,12]]=>[[1,3,4,7,8],[2,6,10,11,12],[5],[9]]=>[[1,2,3,4,8],[5,6,7,10,11],[9],[12]]
[[1,2,5,6],[3,7],[4,8],[9,10],[11,12]]=>[[1,3,4,9,11],[2,7,8,10,12],[5],[6]]=>[[1,3,5,6,7],[2,4,8,10,11],[9],[12]]
[[1,2,5,6],[3,7],[4,8],[9,11],[10,12]]=>[[1,3,4,9,10],[2,7,8,11,12],[5],[6]]=>[[1,2,5,6,7],[3,4,8,10,11],[9],[12]]
[[1,2,5,6],[3,7],[4,9],[8,10],[11,12]]=>[[1,3,4,8,11],[2,7,9,10,12],[5],[6]]=>[[1,3,4,6,7],[2,5,8,10,11],[9],[12]]
[[1,2,5,6],[3,7],[4,9],[8,11],[10,12]]=>[[1,3,4,8,10],[2,7,9,11,12],[5],[6]]=>[[1,2,4,6,7],[3,5,8,10,11],[9],[12]]
[[1,2,5,6],[3,7],[4,10],[8,11],[9,12]]=>[[1,3,4,8,9],[2,7,10,11,12],[5],[6]]=>[[1,2,3,6,7],[4,5,8,10,11],[9],[12]]
[[1,2,5,6],[3,8],[4,9],[7,10],[11,12]]=>[[1,3,4,7,11],[2,8,9,10,12],[5],[6]]=>[[1,3,4,5,7],[2,6,8,10,11],[9],[12]]
[[1,2,5,6],[3,8],[4,9],[7,11],[10,12]]=>[[1,3,4,7,10],[2,8,9,11,12],[5],[6]]=>[[1,2,4,5,7],[3,6,8,10,11],[9],[12]]
[[1,2,5,6],[3,8],[4,10],[7,11],[9,12]]=>[[1,3,4,7,9],[2,8,10,11,12],[5],[6]]=>[[1,2,3,5,7],[4,6,8,10,11],[9],[12]]
[[1,2,5,6],[3,9],[4,10],[7,11],[8,12]]=>[[1,3,4,7,8],[2,9,10,11,12],[5],[6]]=>[[1,2,3,4,7],[5,6,8,10,11],[9],[12]]
[[1,2,5,7],[3,8],[4,9],[6,10],[11,12]]=>[[1,3,4,6,11],[2,8,9,10,12],[5],[7]]=>[[1,3,4,5,6],[2,7,8,10,11],[9],[12]]
[[1,2,5,7],[3,8],[4,9],[6,11],[10,12]]=>[[1,3,4,6,10],[2,8,9,11,12],[5],[7]]=>[[1,2,4,5,6],[3,7,8,10,11],[9],[12]]
[[1,2,5,7],[3,8],[4,10],[6,11],[9,12]]=>[[1,3,4,6,9],[2,8,10,11,12],[5],[7]]=>[[1,2,3,5,6],[4,7,8,10,11],[9],[12]]
[[1,2,5,7],[3,9],[4,10],[6,11],[8,12]]=>[[1,3,4,6,8],[2,9,10,11,12],[5],[7]]=>[[1,2,3,4,6],[5,7,8,10,11],[9],[12]]
[[1,2,5,8],[3,9],[4,10],[6,11],[7,12]]=>[[1,3,4,6,7],[2,9,10,11,12],[5],[8]]=>[[1,2,3,4,5],[6,7,8,10,11],[9],[12]]
[[1,2,6,10],[3,7],[4,8],[5,9],[11,12]]=>[[1,3,4,5,11],[2,7,8,9,12],[6],[10]]=>[[1,3,5,6,7],[2,4,9,10,11],[8],[12]]
[[1,2,6,11],[3,7],[4,8],[5,9],[10,12]]=>[[1,3,4,5,10],[2,7,8,9,12],[6],[11]]=>[[1,2,5,6,7],[3,4,9,10,11],[8],[12]]
[[1,2,6,9],[3,7],[4,8],[5,10],[11,12]]=>[[1,3,4,5,11],[2,7,8,10,12],[6],[9]]=>[[1,3,4,6,7],[2,5,9,10,11],[8],[12]]
[[1,2,6,9],[3,7],[4,8],[5,11],[10,12]]=>[[1,3,4,5,10],[2,7,8,11,12],[6],[9]]=>[[1,2,4,6,7],[3,5,9,10,11],[8],[12]]
[[1,2,6,10],[3,7],[4,8],[5,11],[9,12]]=>[[1,3,4,5,9],[2,7,8,11,12],[6],[10]]=>[[1,2,3,6,7],[4,5,9,10,11],[8],[12]]
[[1,2,6,8],[3,7],[4,9],[5,10],[11,12]]=>[[1,3,4,5,11],[2,7,9,10,12],[6],[8]]=>[[1,3,4,5,7],[2,6,9,10,11],[8],[12]]
[[1,2,6,8],[3,7],[4,9],[5,11],[10,12]]=>[[1,3,4,5,10],[2,7,9,11,12],[6],[8]]=>[[1,2,4,5,7],[3,6,9,10,11],[8],[12]]
[[1,2,6,8],[3,7],[4,10],[5,11],[9,12]]=>[[1,3,4,5,9],[2,7,10,11,12],[6],[8]]=>[[1,2,3,5,7],[4,6,9,10,11],[8],[12]]
[[1,2,6,9],[3,7],[4,10],[5,11],[8,12]]=>[[1,3,4,5,8],[2,7,10,11,12],[6],[9]]=>[[1,2,3,4,7],[5,6,9,10,11],[8],[12]]
[[1,2,6,7],[3,8],[4,9],[5,10],[11,12]]=>[[1,3,4,5,11],[2,8,9,10,12],[6],[7]]=>[[1,3,4,5,6],[2,7,9,10,11],[8],[12]]
[[1,2,6,7],[3,8],[4,9],[5,11],[10,12]]=>[[1,3,4,5,10],[2,8,9,11,12],[6],[7]]=>[[1,2,4,5,6],[3,7,9,10,11],[8],[12]]
[[1,2,6,7],[3,8],[4,10],[5,11],[9,12]]=>[[1,3,4,5,9],[2,8,10,11,12],[6],[7]]=>[[1,2,3,5,6],[4,7,9,10,11],[8],[12]]
[[1,2,6,7],[3,9],[4,10],[5,11],[8,12]]=>[[1,3,4,5,8],[2,9,10,11,12],[6],[7]]=>[[1,2,3,4,6],[5,7,9,10,11],[8],[12]]
[[1,2,6,8],[3,9],[4,10],[5,11],[7,12]]=>[[1,3,4,5,7],[2,9,10,11,12],[6],[8]]=>[[1,2,3,4,5],[6,7,9,10,11],[8],[12]]
[[1,2,7,12],[3,8],[4,9],[5,10],[6,11]]=>[[1,3,4,5,6],[2,8,9,10,11],[7],[12]]=>[[1,3,4,5,6],[2,8,9,10,11],[7],[12]]
[[1,2,7,11],[3,8],[4,9],[5,10],[6,12]]=>[[1,3,4,5,6],[2,8,9,10,12],[7],[11]]=>[[1,2,4,5,6],[3,8,9,10,11],[7],[12]]
[[1,2,7,10],[3,8],[4,9],[5,11],[6,12]]=>[[1,3,4,5,6],[2,8,9,11,12],[7],[10]]=>[[1,2,3,5,6],[4,8,9,10,11],[7],[12]]
[[1,2,7,9],[3,8],[4,10],[5,11],[6,12]]=>[[1,3,4,5,6],[2,8,10,11,12],[7],[9]]=>[[1,2,3,4,6],[5,8,9,10,11],[7],[12]]
[[1,2,7,8],[3,9],[4,10],[5,11],[6,12]]=>[[1,3,4,5,6],[2,9,10,11,12],[7],[8]]=>[[1,2,3,4,5],[6,8,9,10,11],[7],[12]]
[[1,2,8],[3,9],[4,10],[5,11],[6,12],[7]]=>[[1,3,4,5,6,7],[2,9,10,11,12],[8]]=>[[1,2,3,4,5,11],[6,7,8,9,10],[12]]
[[1,5,7],[2,6,8],[3],[4],[9],[10]]=>[[1,2,3,4,9,10],[5,6],[7,8]]=>[[1,2,3,4,9,10],[5,6],[7,8]]
[[1,5,9],[2,6,10],[3],[4],[7],[8]]=>[[1,2,3,4,7,8],[5,6],[9,10]]=>[[1,2,5,6,9,10],[3,4],[7,8]]
[[1,3,4,7,9],[2,8,10],[5],[6]]=>[[1,2,5,6],[3,8],[4,10],[7],[9]]=>[[1,2,7,10],[3,4],[5,6],[8],[9]]
[[1,6],[2,8],[3,9],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,8,9]]=>[[1,2,4,7,8,9],[3,5,6]]
[[1,6,8],[2,9],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,9],[8]]=>[[1,2,6,7,8,9],[3,4],[5]]
[[1,5],[2,7],[3,8],[4,9],[6]]=>[[1,2,3,4,6],[5,7,8,9]]=>[[1,2,3,5,9],[4,6,7,8]]
[[1,5,8],[2,7],[3,9],[4],[6]]=>[[1,2,3,4,6],[5,7,9],[8]]=>[[1,2,5,8,9],[3,6,7],[4]]
[[1,5,7],[2,8,9],[3],[4],[6]]=>[[1,2,3,4,6],[5,8],[7,9]]=>[[1,3,7,8,9],[2,5],[4,6]]
[[1,5,7,9],[2,8],[3],[4],[6]]=>[[1,2,3,4,6],[5,8],[7],[9]]=>[[1,3,7,8,9],[2,5],[4],[6]]
[[1,4,8],[2,6],[3,7],[5,9]]=>[[1,2,3,5],[4,6,7,9],[8]]=>[[1,2,4,6],[3,7,8,9],[5]]
[[1,4,7],[2,6,9],[3,8],[5]]=>[[1,2,3,5],[4,6,8],[7,9]]=>[[1,3,6,9],[2,4,8],[5,7]]
[[1,4,7,9],[2,6],[3,8],[5]]=>[[1,2,3,5],[4,6,8],[7],[9]]=>[[1,3,6,9],[2,7,8],[4],[5]]
[[1,4,6,8],[2,7,9],[3],[5]]=>[[1,2,3,5],[4,7],[6,9],[8]]=>[[1,2,8,9],[3,4],[5,6],[7]]
[[1,4,6,8,9],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6],[8],[9]]=>[[1,4,8,9],[2,6],[3],[5],[7]]
[[1,3,6],[2,5,8],[4,7,9]]=>[[1,2,4],[3,5,7],[6,8,9]]=>[[1,2,4],[3,5,7],[6,8,9]]
[[1,3,6,8],[2,5,9],[4,7]]=>[[1,2,4],[3,5,7],[6,9],[8]]=>[[1,2,7],[3,4,9],[5,8],[6]]
[[1,3,6,8,9],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6],[8],[9]]=>[[1,4,7],[2,8,9],[3],[5],[6]]
[[1,3,5,7],[2,6,8,9],[4]]=>[[1,2,4],[3,6],[5,8],[7,9]]=>[[1,3,9],[2,5],[4,7],[6,8]]
[[1,3,5,7,9],[2,6,8],[4]]=>[[1,2,4],[3,6],[5,8],[7],[9]]=>[[1,3,9],[2,5],[4,7],[6],[8]]
[[1,3,5,7,8,9],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7],[8],[9]]=>[[1,5,9],[2,7],[3],[4],[6],[8]]
[[1,7],[2,9],[3,10],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7,9,10]]=>[[1,2,4,7,8,9,10],[3,5,6]]
[[1,7,9],[2,10],[3],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7,10],[9]]=>[[1,2,6,7,8,9,10],[3,4],[5]]
[[1,6],[2,8],[3,9],[4,10],[5],[7]]=>[[1,2,3,4,5,7],[6,8,9,10]]=>[[1,2,3,5,9,10],[4,6,7,8]]
[[1,6,9],[2,8],[3,10],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,8,10],[9]]=>[[1,2,5,8,9,10],[3,6,7],[4]]
[[1,6,8],[2,9,10],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,9],[8,10]]=>[[1,3,7,8,9,10],[2,5],[4,6]]
[[1,6,8,10],[2,9],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,9],[8],[10]]=>[[1,3,7,8,9,10],[2,5],[4],[6]]
[[1,5,9],[2,7],[3,8],[4,10],[6]]=>[[1,2,3,4,6],[5,7,8,10],[9]]=>[[1,2,4,6,10],[3,7,8,9],[5]]
[[1,5,8],[2,7,10],[3,9],[4],[6]]=>[[1,2,3,4,6],[5,7,9],[8,10]]=>[[1,3,6,9,10],[2,4,8],[5,7]]
[[1,5,8,10],[2,7],[3,9],[4],[6]]=>[[1,2,3,4,6],[5,7,9],[8],[10]]=>[[1,3,6,9,10],[2,7,8],[4],[5]]
[[1,5,7,9],[2,8,10],[3],[4],[6]]=>[[1,2,3,4,6],[5,8],[7,10],[9]]=>[[1,2,8,9,10],[3,4],[5,6],[7]]
[[1,5,7,9,10],[2,8],[3],[4],[6]]=>[[1,2,3,4,6],[5,8],[7],[9],[10]]=>[[1,4,8,9,10],[2,6],[3],[5],[7]]
[[1,4,8],[2,6,10],[3,7],[5,9]]=>[[1,2,3,5],[4,6,7,9],[8,10]]=>[[1,3,5,7],[2,4,9,10],[6,8]]
[[1,4,8,10],[2,6],[3,7],[5,9]]=>[[1,2,3,5],[4,6,7,9],[8],[10]]=>[[1,3,5,7],[2,8,9,10],[4],[6]]
[[1,4,7],[2,6,9],[3,8,10],[5]]=>[[1,2,3,5],[4,6,8],[7,9,10]]=>[[1,2,4,10],[3,5,7],[6,8,9]]
[[1,4,7,9],[2,6,10],[3,8],[5]]=>[[1,2,3,5],[4,6,8],[7,10],[9]]=>[[1,2,7,10],[3,4,9],[5,8],[6]]
[[1,4,7,9,10],[2,6],[3,8],[5]]=>[[1,2,3,5],[4,6,8],[7],[9],[10]]=>[[1,4,7,10],[2,8,9],[3],[5],[6]]
[[1,4,6,8],[2,7,9,10],[3],[5]]=>[[1,2,3,5],[4,7],[6,9],[8,10]]=>[[1,3,9,10],[2,5],[4,7],[6,8]]
[[1,4,6,8,10],[2,7,9],[3],[5]]=>[[1,2,3,5],[4,7],[6,9],[8],[10]]=>[[1,3,9,10],[2,5],[4,7],[6],[8]]
[[1,4,6,8,9,10],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6],[8],[9],[10]]=>[[1,5,9,10],[2,7],[3],[4],[6],[8]]
[[1,3,6,9],[2,5,8],[4,7,10]]=>[[1,2,4],[3,5,7],[6,8,10],[9]]=>[[1,2,5],[3,6,8],[4,9,10],[7]]
[[1,3,6,8],[2,5,9,10],[4,7]]=>[[1,2,4],[3,5,7],[6,9],[8,10]]=>[[1,3,8],[2,5,10],[4,6],[7,9]]
[[1,3,6,8,10],[2,5,9],[4,7]]=>[[1,2,4],[3,5,7],[6,9],[8],[10]]=>[[1,3,8],[2,5,10],[4,9],[6],[7]]
[[1,3,6,8,9,10],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6],[8],[9],[10]]=>[[1,5,8],[2,9,10],[3],[4],[6],[7]]
[[1,3,5,7,9],[2,6,8,10],[4]]=>[[1,2,4],[3,6],[5,8],[7,10],[9]]=>[[1,2,10],[3,4],[5,6],[7,8],[9]]
[[1,3,5,7,9,10],[2,6,8],[4]]=>[[1,2,4],[3,6],[5,8],[7],[9],[10]]=>[[1,4,10],[2,6],[3,8],[5],[7],[9]]
[[1,3,5,7,8,9,10],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7],[8],[9],[10]]=>[[1,6,10],[2,8],[3],[4],[5],[7],[9]]
[[1,7],[2,8],[3],[4],[5],[6],[9]]=>[[1,2,3,4,5,6,9],[7,8]]=>[[1,2,3,6,7,8,9],[4,5]]
[[1,5,7,8],[2,6],[3],[4],[9]]=>[[1,2,3,4,9],[5,6],[7],[8]]=>[[1,2,5,8,9],[3,7],[4],[6]]
[[1,3,5,7,8],[2,4,6],[9]]=>[[1,2,9],[3,4],[5,6],[7],[8]]=>[[1,2,5],[3,7],[4,9],[6],[8]]
[[1,8],[2,9],[3],[4],[5],[6],[7],[10]]=>[[1,2,3,4,5,6,7,10],[8,9]]=>[[1,2,3,6,7,8,9,10],[4,5]]
[[1,7,9],[2,8],[3],[4],[5],[6],[10]]=>[[1,2,3,4,5,6,10],[7,8],[9]]=>[[1,2,4,7,8,9,10],[3,6],[5]]
[[1,6,8],[2,7,9],[3],[4],[5],[10]]=>[[1,2,3,4,5,10],[6,7],[8,9]]=>[[1,2,3,8,9,10],[4,5],[6,7]]
[[1,5,7,8,9],[2,6],[3],[4],[10]]=>[[1,2,3,4,10],[5,6],[7],[8],[9]]=>[[1,2,6,9,10],[3,8],[4],[5],[7]]
[[1,2],[3,9],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2,9]]=>[[1,3,4,5,6,7,8],[2,9]]
[[1,2,5],[3,6,8],[4,7,9]]=>[[1,3,4],[2,6,7],[5,8,9]]=>[[1,2,5],[3,4,8],[6,7,9]]
[[1,2],[3,10],[4],[5],[6],[7],[8],[9]]=>[[1,3,4,5,6,7,8,9],[2,10]]=>[[1,3,4,5,6,7,8,9],[2,10]]
[[1,3],[2,8],[4,9],[5],[6],[7]]=>[[1,2,4,5,6,7],[3,8,9]]=>[[1,2,5,6,7,9],[3,4,8]]
[[1,2,3],[4,9],[5],[6],[7],[8]]=>[[1,4,5,6,7,8],[2,9],[3]]=>[[1,3,4,5,6,7],[2,8],[9]]
[[1,4],[2,7],[3,8],[5,9],[6]]=>[[1,2,3,5,6],[4,7,8,9]]=>[[1,2,3,6,9],[4,5,7,8]]
[[1,3,9],[2,4],[5,8],[6],[7]]=>[[1,2,5,6,7],[3,4,8],[9]]=>[[1,4,5,6,7],[2,8,9],[3]]
[[1,2,4],[3,8,9],[5],[6],[7]]=>[[1,3,5,6,7],[2,8],[4,9]]=>[[1,4,5,6,8],[2,7],[3,9]]
[[1,2,3,4],[5,9],[6],[7],[8]]=>[[1,5,6,7,8],[2,9],[3],[4]]=>[[1,3,4,5,6],[2,7],[8],[9]]
[[1,4,9],[2,5],[3,7],[6,8]]=>[[1,2,3,6],[4,5,7,8],[9]]=>[[1,3,5,6],[2,7,8,9],[4]]
[[1,2,5],[3,4,9],[6,8],[7]]=>[[1,3,6,7],[2,4,8],[5,9]]=>[[1,4,5,8],[2,6,9],[3,7]]
[[1,4,5,9],[2,7],[3,8],[6]]=>[[1,2,3,6],[4,7,8],[5],[9]]=>[[1,3,5,9],[2,6,8],[4],[7]]
[[1,2,3,5],[4,8,9],[6],[7]]=>[[1,4,6,7],[2,8],[3,9],[5]]=>[[1,4,5,7],[2,6],[3,8],[9]]
[[1,2,3,4,5],[6,9],[7],[8]]=>[[1,6,7,8],[2,9],[3],[4],[5]]=>[[1,3,4,5],[2,6],[7],[8],[9]]
[[1,4,5,6,9],[2,7],[3,8]]=>[[1,2,3],[4,7,8],[5],[6],[9]]=>[[1,3,4],[2,8,9],[5],[6],[7]]
[[1,2,4,6],[3,5,8,9],[7]]=>[[1,3,7],[2,5],[4,8],[6,9]]=>[[1,4,6],[2,5],[3,8],[7,9]]
[[1,2,3,4,6],[5,8,9],[7]]=>[[1,5,7],[2,8],[3,9],[4],[6]]=>[[1,4,6],[2,5],[3,7],[8],[9]]
[[1,2,3,4,5,6],[7,9],[8]]=>[[1,7,8],[2,9],[3],[4],[5],[6]]=>[[1,3,4],[2,5],[6],[7],[8],[9]]
[[1,2,3,5,7],[4,6,8,9]]=>[[1,4],[2,6],[3,8],[5,9],[7]]=>[[1,3],[2,5],[4,7],[6,8],[9]]
[[1,2,3,4,5,7],[6,8,9]]=>[[1,6],[2,8],[3,9],[4],[5],[7]]=>[[1,3],[2,5],[4,6],[7],[8],[9]]
[[1,3],[2,9],[4,10],[5],[6],[7],[8]]=>[[1,2,4,5,6,7,8],[3,9,10]]=>[[1,2,5,6,7,8,10],[3,4,9]]
[[1,2,3],[4,10],[5],[6],[7],[8],[9]]=>[[1,4,5,6,7,8,9],[2,10],[3]]=>[[1,3,4,5,6,7,8],[2,9],[10]]
[[1,4],[2,8],[3,9],[5,10],[6],[7]]=>[[1,2,3,5,6,7],[4,8,9,10]]=>[[1,2,3,7,9,10],[4,5,6,8]]
[[1,3,10],[2,4],[5,9],[6],[7],[8]]=>[[1,2,5,6,7,8],[3,4,9],[10]]=>[[1,4,5,6,7,8],[2,9,10],[3]]
[[1,2,4],[3,9,10],[5],[6],[7],[8]]=>[[1,3,5,6,7,8],[2,9],[4,10]]=>[[1,4,5,6,7,9],[2,8],[3,10]]
[[1,2,3,4],[5,10],[6],[7],[8],[9]]=>[[1,5,6,7,8,9],[2,10],[3],[4]]=>[[1,3,4,5,6,7],[2,8],[9],[10]]
[[1,4,10],[2,5],[3,8],[6,9],[7]]=>[[1,2,3,6,7],[4,5,8,9],[10]]=>[[1,3,6,7,10],[2,5,8,9],[4]]
[[1,2,5],[3,4,10],[6,9],[7],[8]]=>[[1,3,6,7,8],[2,4,9],[5,10]]=>[[1,4,5,6,9],[2,7,10],[3,8]]
[[1,4,5,10],[2,8],[3,9],[6],[7]]=>[[1,2,3,6,7],[4,8,9],[5],[10]]=>[[1,3,6,9,10],[2,5,7],[4],[8]]
[[1,2,3,5],[4,9,10],[6],[7],[8]]=>[[1,4,6,7,8],[2,9],[3,10],[5]]=>[[1,4,5,6,8],[2,7],[3,9],[10]]
[[1,2,3,4,5],[6,10],[7],[8],[9]]=>[[1,6,7,8,9],[2,10],[3],[4],[5]]=>[[1,3,4,5,6],[2,7],[8],[9],[10]]
[[1,2,9],[3,5,10],[4,6],[7,8]]=>[[1,3,4,7],[2,5,6,8],[9,10]]=>[[1,2,6,9],[3,5,8,10],[4,7]]
[[1,5,6,10],[2,7],[3,8],[4,9]]=>[[1,2,3,4],[5,7,8,9],[6],[10]]=>[[1,3,4,5],[2,8,9,10],[6],[7]]
[[1,3,6],[2,5,9],[4,8,10],[7]]=>[[1,2,4,7],[3,5,8],[6,9,10]]=>[[1,2,5,10],[3,6,8],[4,7,9]]
[[1,2,3,10],[4,5,6],[7,9],[8]]=>[[1,4,7,8],[2,5,9],[3,6],[10]]=>[[1,4,5,8],[2,6,9],[3,10],[7]]
[[1,4,5,6,10],[2,8],[3,9],[7]]=>[[1,2,3,7],[4,8,9],[5],[6],[10]]=>[[1,3,5,10],[2,6,9],[4],[7],[8]]
[[1,2,4,6],[3,5,9,10],[7],[8]]=>[[1,3,7,8],[2,5],[4,9],[6,10]]=>[[1,4,5,7],[2,6],[3,9],[8,10]]
[[1,2,3,4,6],[5,9,10],[7],[8]]=>[[1,5,7,8],[2,9],[3,10],[4],[6]]=>[[1,4,5,7],[2,6],[3,8],[9],[10]]
[[1,2,3,4,5,6],[7,10],[8],[9]]=>[[1,7,8,9],[2,10],[3],[4],[5],[6]]=>[[1,3,4,5],[2,6],[7],[8],[9],[10]]
[[1,3,6,10],[2,4,7],[5,8,9]]=>[[1,2,5],[3,4,8],[6,7,9],[10]]=>[[1,4,5],[2,7,8],[3,9,10],[6]]
[[1,2,4,7],[3,5,6,10],[8,9]]=>[[1,3,8],[2,5,9],[4,6],[7,10]]=>[[1,4,7],[2,5,9],[3,6],[8,10]]
[[1,4,5,6,7,10],[2,8],[3,9]]=>[[1,2,3],[4,8,9],[5],[6],[7],[10]]=>[[1,3,4],[2,9,10],[5],[6],[7],[8]]
[[1,2,3,5,7],[4,6,9,10],[8]]=>[[1,4,8],[2,6],[3,9],[5,10],[7]]=>[[1,4,6],[2,5],[3,8],[7,9],[10]]
[[1,2,3,4,5,7],[6,9,10],[8]]=>[[1,6,8],[2,9],[3,10],[4],[5],[7]]=>[[1,4,6],[2,5],[3,7],[8],[9],[10]]
[[1,2,3,4,5,6,7],[8,10],[9]]=>[[1,8,9],[2,10],[3],[4],[5],[6],[7]]=>[[1,3,4],[2,5],[6],[7],[8],[9],[10]]
[[1,2,3,4,6,8],[5,7,9,10]]=>[[1,5],[2,7],[3,9],[4,10],[6],[8]]=>[[1,3],[2,5],[4,7],[6,8],[9],[10]]
[[1,2,3,4,5,6,8],[7,9,10]]=>[[1,7],[2,9],[3,10],[4],[5],[6],[8]]=>[[1,3],[2,5],[4,6],[7],[8],[9],[10]]
[[1,3,4,5,6,7,9],[2,8]]=>[[1,2],[3,8],[4],[5],[6],[7],[9]]=>[[1,3],[2,9],[4],[5],[6],[7],[8]]
[[1,3,4,5,6,7,8,10],[2,9]]=>[[1,2],[3,9],[4],[5],[6],[7],[8],[10]]=>[[1,3],[2,10],[4],[5],[6],[7],[8],[9]]
[[1,2,3,7],[4,8],[5,9],[6]]=>[[1,4,5,6],[2,8,9],[3],[7]]=>[[1,2,3,7],[4,5,6],[8],[9]]
[[1,2,3,5,8],[4,6,9],[7]]=>[[1,4,7],[2,6],[3,9],[5],[8]]=>[[1,2,5],[3,4],[6,7],[8],[9]]
[[1,2,3,4,5,8],[6,9],[7]]=>[[1,6,7],[2,9],[3],[4],[5],[8]]=>[[1,2,5],[3,4],[6],[7],[8],[9]]
[[1,2,4,8],[3,5,9],[6,10],[7]]=>[[1,3,6,7],[2,5,10],[4,9],[8]]=>[[1,2,3,7],[4,5,6],[8,9],[10]]
[[1,2,3,4,8],[5,9],[6,10],[7]]=>[[1,5,6,7],[2,9,10],[3],[4],[8]]=>[[1,2,3,7],[4,5,6],[8],[9],[10]]
[[1,2,3,6,9],[4,7,10],[5,8]]=>[[1,4,5],[2,7,8],[3,10],[6],[9]]=>[[1,2,5],[3,4,8],[6,7],[9],[10]]
[[1,2,4,6,9],[3,5,7,10],[8]]=>[[1,3,8],[2,5],[4,7],[6,10],[9]]=>[[1,2,5],[3,4],[6,7],[8,9],[10]]
[[1,2,3,4,6,9],[5,7,10],[8]]=>[[1,5,8],[2,7],[3,10],[4],[6],[9]]=>[[1,2,5],[3,4],[6,7],[8],[9],[10]]
[[1,2,3,4,5,6,9],[7,10],[8]]=>[[1,7,8],[2,10],[3],[4],[5],[6],[9]]=>[[1,2,5],[3,4],[6],[7],[8],[9],[10]]
[[1,7],[2],[3],[4],[5],[6],[8],[9]]=>[[1,2,3,4,5,6,8,9],[7]]=>[[1,2,3,5,6,7,8,9],[4]]
[[1,2,3,4,5,6,8,9],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8],[9]]=>[[1,4],[2],[3],[5],[6],[7],[8],[9]]
[[1,2,3,4,5,8,9],[6,7]]=>[[1,6],[2,7],[3],[4],[5],[8],[9]]=>[[1,5],[2,6],[3],[4],[7],[8],[9]]
[[1,2],[3,4],[5,8],[6],[7],[9]]=>[[1,3,5,6,7,9],[2,4,8]]=>[[1,2,4,5,6,8],[3,7,9]]
[[1,2,3,6,8,10],[4,7,9],[5]]=>[[1,4,5],[2,7],[3,9],[6],[8],[10]]=>[[1,3,8],[2,5],[4,7],[6],[9],[10]]
[[1,3,6,7,8,9],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7],[8],[9]]=>[[1,6,7,9],[2],[3],[4],[5],[8]]
[[1,3,6,7,8,9,10],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7],[8],[9],[10]]=>[[1,7,8,10],[2],[3],[4],[5],[6],[9]]
[[1,2,5,7,10],[3,6,9],[4],[8]]=>[[1,3,4,8],[2,6],[5,9],[7],[10]]=>[[1,4,6,9],[2,5],[3,8],[7],[10]]
[[1,2,3,4,6],[5,7,8,9]]=>[[1,5],[2,7],[3,8],[4,9],[6]]=>[[1,4],[2,6],[3,7],[5,8],[9]]
[[1,2,3,5],[4,6,7,9],[8]]=>[[1,4,8],[2,6],[3,7],[5,9]]=>[[1,3,5],[2,7],[4,8],[6,9]]
[[1,2,4],[3,5,7],[6,8,9]]=>[[1,3,6],[2,5,8],[4,7,9]]=>[[1,3,6],[2,5,8],[4,7,9]]
[[1,2,3,4,5,7],[6,8,9,10]]=>[[1,6],[2,8],[3,9],[4,10],[5],[7]]=>[[1,4],[2,6],[3,7],[5,8],[9],[10]]
[[1,2,3,4,5,7],[6,9],[8,10]]=>[[1,6,8],[2,9,10],[3],[4],[5],[7]]=>[[1,2,4],[3,5,6],[7],[8],[9],[10]]
[[1,2,3,4,6],[5,7,8,10],[9]]=>[[1,5,9],[2,7],[3,8],[4,10],[6]]=>[[1,3,5],[2,7],[4,8],[6,9],[10]]
[[1,2,3,5],[4,7],[6,9],[8],[10]]=>[[1,4,6,8,10],[2,7,9],[3],[5]]=>[[1,2,4,6,8],[3,5,7],[9],[10]]
[[1,2,4],[3,5,7],[6,8,10],[9]]=>[[1,3,6,9],[2,5,8],[4,7,10]]=>[[1,3,4,7],[2,6,9],[5,8,10]]
[[1,3,5,6,7,9],[2,4,8]]=>[[1,2],[3,4],[5,8],[6],[7],[9]]=>[[1,3],[2,7],[4,9],[5],[6],[8]]
[[1,4,5,7],[2,8],[3],[6],[9]]=>[[1,2,3,6,9],[4,8],[5],[7]]=>[[1,2,3,8,9],[4,5],[6],[7]]
[[1,6],[2,7],[3],[4],[5],[8],[9]]=>[[1,2,3,4,5,8,9],[6,7]]=>[[1,2,3,4,7,8,9],[5,6]]
[[1,3,4,8],[2,6],[5,9],[7],[10]]=>[[1,2,5,7,10],[3,6,9],[4],[8]]=>[[1,2,3,7,10],[4,5,8],[6],[9]]
[[1,4,5],[2,7],[3,9],[6],[8],[10]]=>[[1,2,3,6,8,10],[4,7,9],[5]]=>[[1,2,4,6,9,10],[3,5,7],[8]]
[[1,3],[2,4],[5,6],[7,8],[9],[10]]=>[[1,2,5,7,9,10],[3,4,6,8]]=>[[1,2,3,5,7,8],[4,6,9,10]]
[[1,2,3,6,7],[4,9],[5],[8]]=>[[1,4,5,8],[2,9],[3],[6],[7]]=>[[1,3,6,7],[2,4],[5],[8],[9]]
[[1,2,3,4,5,7,8],[6],[9]]=>[[1,6,9],[2],[3],[4],[5],[7],[8]]=>[[1,2,5],[3],[4],[6],[7],[8],[9]]
[[1,2,3,4,5,8,10],[6,9],[7]]=>[[1,6,7],[2,9],[3],[4],[5],[8],[10]]=>[[1,3,6],[2,5],[4],[7],[8],[9],[10]]
[[1,6,9],[2,7,10],[3],[4],[5],[8]]=>[[1,2,3,4,5,8],[6,7],[9,10]]=>[[1,2,5,8,9,10],[3,4],[6,7]]
[[1,5,8],[2,6,9],[3],[4],[7],[10]]=>[[1,2,3,4,7,10],[5,6],[8,9]]=>[[1,2,3,6,9,10],[4,5],[7,8]]
[[1,5,7,9,11],[2,6,8,10,12],[3],[4]]=>[[1,2,3,4],[5,6],[7,8],[9,10],[11,12]]=>[[1,2,11,12],[3,4],[5,6],[7,8],[9,10]]
[[1,5,7,11],[2,6,8,12],[3],[4],[9],[10]]=>[[1,2,3,4,9,10],[5,6],[7,8],[11,12]]=>[[1,2,5,6,11,12],[3,4],[7,8],[9,10]]
[[1,5,7],[2,6,8],[3],[4],[9],[10],[11],[12]]=>[[1,2,3,4,9,10,11,12],[5,6],[7,8]]=>[[1,2,3,4,5,6,11,12],[7,8],[9,10]]
[[1,5,11],[2,6,12],[3],[4],[7],[8],[9],[10]]=>[[1,2,3,4,7,8,9,10],[5,6],[11,12]]=>[[1,2,5,6,7,8,11,12],[3,4],[9,10]]
[[1,9,11],[2,10,12],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8],[9,10],[11,12]]=>[[1,2,7,8,9,10,11,12],[3,4],[5,6]]
[[1,11],[2,12],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6,7,8,9,10],[11,12]]=>[[1,2,5,6,7,8,9,10,11,12],[3,4]]
[[1,10],[2,11],[3],[4],[5],[6],[7],[8],[9],[12]]=>[[1,2,3,4,5,6,7,8,9,12],[10,11]]=>[[1,2,3,6,7,8,9,10,11,12],[4,5]]
[[1,2,4,5,6,7],[3,8,9]]=>[[1,3],[2,8],[4,9],[5],[6],[7]]=>[[1,3],[2,4],[5,8],[6],[7],[9]]
[[1,2,4,5],[3],[6],[7],[8],[9]]=>[[1,3,6,7,8,9],[2],[4],[5]]=>[[1,2,3,4,5,8],[6],[7],[9]]
[[1,2,4,5,6,7,8],[3,9,10]]=>[[1,3],[2,9],[4,10],[5],[6],[7],[8]]=>[[1,3],[2,4],[5,9],[6],[7],[8],[10]]
[[1,2,4,5],[3],[6],[7],[8],[9],[10]]=>[[1,3,6,7,8,9,10],[2],[4],[5]]=>[[1,2,3,4,5,6,9],[7],[8],[10]]
[[1,4,5,8],[2,9],[3],[6],[7]]=>[[1,2,3,6,7],[4,9],[5],[8]]=>[[1,2,5,8,9],[3,4],[6],[7]]
[[1,3,4,7,8,9],[2,10],[5],[6]]=>[[1,2,5,6],[3,10],[4],[7],[8],[9]]=>[[1,2,7,10],[3,6],[4],[5],[8],[9]]
[[1,4,7],[2,6],[3,9],[5],[8]]=>[[1,2,3,5,8],[4,6,9],[7]]=>[[1,3,6,8,9],[2,4,7],[5]]
[[1,3,6,7],[2,5,10],[4,9],[8]]=>[[1,2,4,8],[3,5,9],[6,10],[7]]=>[[1,4,8,10],[2,5,9],[3,6],[7]]
[[1,5,8],[2,7],[3,10],[4],[6],[9]]=>[[1,2,3,4,6,9],[5,7,10],[8]]=>[[1,3,6,8,9,10],[2,4,7],[5]]
[[1,2,5,7,9,10],[3,4,6,8]]=>[[1,3],[2,4],[5,6],[7,8],[9],[10]]=>[[1,4],[2,6],[3,9],[5,10],[7],[8]]
[[1,2,5,6],[3,10],[4],[7],[8],[9]]=>[[1,3,4,7,8,9],[2,10],[5],[6]]=>[[1,3,4,5,8,9],[2,6],[7],[10]]
[[1,4,5,7],[2,8,9,10],[3],[6]]=>[[1,2,3,6],[4,8],[5,9],[7,10]]=>[[1,4,9,10],[2,6],[3,7],[5,8]]
[[1,3,5,7],[2,8,9,10],[4],[6]]=>[[1,2,4,6],[3,8],[5,9],[7,10]]=>[[1,4,8,10],[2,6],[3,7],[5,9]]
[[1,6,7,8,9],[2,10],[3],[4],[5]]=>[[1,2,3,4,5],[6,10],[7],[8],[9]]=>[[1,2,8,9,10],[3,7],[4],[5],[6]]
[[1,2,3,6,9],[4,8],[5],[7]]=>[[1,4,5,7],[2,8],[3],[6],[9]]=>[[1,4,6,7],[2,5],[3],[8],[9]]
[[1,2,3],[4,7,8],[5],[6],[9]]=>[[1,4,5,6,9],[2,7],[3,8]]=>[[1,2,5,6,7],[3,8],[4,9]]
[[1,2,3],[4,8,9],[5],[6],[7],[10]]=>[[1,4,5,6,7,10],[2,8],[3,9]]=>[[1,2,5,6,7,8],[3,9],[4,10]]
[[1,4,5,6,7,8],[2,9],[3]]=>[[1,2,3],[4,9],[5],[6],[7],[8]]=>[[1,2,9],[3,8],[4],[5],[6],[7]]
[[1,5,6,7,8],[2,9],[3],[4]]=>[[1,2,3,4],[5,9],[6],[7],[8]]=>[[1,2,8,9],[3,7],[4],[5],[6]]
[[1,6,7,8],[2,9],[3],[4],[5]]=>[[1,2,3,4,5],[6,9],[7],[8]]=>[[1,2,7,8,9],[3,6],[4],[5]]
[[1,3,7],[2,5],[4,8],[6,9]]=>[[1,2,4,6],[3,5,8,9],[7]]=>[[1,2,3,7],[4,5,8,9],[6]]
[[1,7,8],[2,9],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7,9],[8]]=>[[1,2,6,7,8,9],[3,5],[4]]
[[1,4],[2,6],[3,8],[5,9],[7]]=>[[1,2,3,5,7],[4,6,8,9]]=>[[1,2,4,6,9],[3,5,7,8]]
[[1,4,5,6,7,8,9],[2,10],[3]]=>[[1,2,3],[4,10],[5],[6],[7],[8],[9]]=>[[1,2,10],[3,9],[4],[5],[6],[7],[8]]
[[1,5,6,7,8,9],[2,10],[3],[4]]=>[[1,2,3,4],[5,10],[6],[7],[8],[9]]=>[[1,2,9,10],[3,8],[4],[5],[6],[7]]
[[1,2,4,7],[3,5,8],[6,9,10]]=>[[1,3,6],[2,5,9],[4,8,10],[7]]=>[[1,3,4],[2,6,7],[5,8,9],[10]]
[[1,7,8,9],[2,10],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7,10],[8],[9]]=>[[1,2,7,8,9,10],[3,6],[4],[5]]
[[1,2,5],[3,4,8],[6,7,9],[10]]=>[[1,3,6,10],[2,4,7],[5,8,9]]=>[[1,2,3,6],[4,7,9],[5,8,10]]
[[1,4,8],[2,6],[3,9],[5,10],[7]]=>[[1,2,3,5,7],[4,6,9,10],[8]]=>[[1,2,3,7,10],[4,5,8,9],[6]]
[[1,8,9],[2,10],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7],[8,10],[9]]=>[[1,2,6,7,8,9,10],[3,5],[4]]
[[1,5],[2,7],[3,9],[4,10],[6],[8]]=>[[1,2,3,4,6,8],[5,7,9,10]]=>[[1,2,4,6,9,10],[3,5,7,8]]
[[1,2,4,6,8,9],[3,5,7],[10]]=>[[1,3,10],[2,5],[4,7],[6],[8],[9]]=>[[1,2,5],[3,7],[4,9],[6],[8],[10]]
[[1,2,5,9],[3,6,10],[4,7],[8]]=>[[1,3,4,8],[2,6,7],[5,10],[9]]=>[[1,2,5,6],[3,4,9],[7,8],[10]]
[[1,2,5,6],[3,8],[4,9],[7]]=>[[1,3,4,7],[2,8,9],[5],[6]]=>[[1,2,4,8],[3,5,7],[6],[9]]
[[1,2],[3,6],[4],[5],[7],[8],[9],[10]]=>[[1,3,4,5,7,8,9,10],[2,6]]=>[[1,2,3,4,5,7,8,9],[6,10]]
[[1,2,5],[3],[4],[6],[7],[8],[9],[10]]=>[[1,3,4,6,7,8,9,10],[2],[5]]=>[[1,2,3,4,5,6,8,9],[7],[10]]
[[1,2],[3,4],[5,8],[6],[7],[9],[10]]=>[[1,3,5,6,7,9,10],[2,4,8]]=>[[1,2,3,5,6,7,9],[4,8,10]]
[[1,2],[3,7],[4],[5],[6],[8],[9],[10]]=>[[1,3,4,5,6,8,9,10],[2,7]]=>[[1,2,3,4,6,7,8,9],[5,10]]
[[1,2,5],[3,6],[4],[7],[8],[9]]=>[[1,3,4,7,8,9],[2,6],[5]]=>[[1,2,3,4,5,8],[6,7],[9]]
[[1,3,4,7],[2,8],[5,9],[6,10]]=>[[1,2,5,6],[3,8,9,10],[4],[7]]=>[[1,2,3,4],[5,6,7,10],[8],[9]]
[[1,7],[2,10],[3],[4],[5],[6],[8],[9]]=>[[1,2,3,4,5,6,8,9],[7,10]]=>[[1,3,4,6,7,8,9,10],[2,5]]
[[1,2,4,5,7],[3,8],[6,9]]=>[[1,3,6],[2,8,9],[4],[5],[7]]=>[[1,2,3],[4,5,8],[6],[7],[9]]
[[1,2,3,4,6,8,9],[5,7]]=>[[1,5],[2,7],[3],[4],[6],[8],[9]]=>[[1,4],[2,6],[3],[5],[7],[8],[9]]
[[1,2,5],[3,6],[4],[7],[8],[9],[10]]=>[[1,3,4,7,8,9,10],[2,6],[5]]=>[[1,2,3,4,5,6,9],[7,8],[10]]
[[1,2,3,5,6,8],[4,9],[7,10]]=>[[1,4,7],[2,9,10],[3],[5],[6],[8]]=>[[1,2,3],[4,5,8],[6],[7],[9],[10]]
[[1,2,4,6,9,10],[3,5,8],[7]]=>[[1,3,7],[2,5],[4,8],[6],[9],[10]]=>[[1,5,7],[2,6],[3,9],[4],[8],[10]]
[[1,2,3,4,5,6,8,9],[7],[10]]=>[[1,7,10],[2],[3],[4],[5],[6],[8],[9]]=>[[1,2,5],[3],[4],[6],[7],[8],[9],[10]]
[[1,2,4,6],[3],[5],[7],[8],[9],[10]]=>[[1,3,5,7,8,9,10],[2],[4],[6]]=>[[1,2,3,4,5,7,9],[6],[8],[10]]
[[1,4,7,10],[2,5,8],[3,9],[6]]=>[[1,2,3,6],[4,5,9],[7,8],[10]]=>[[1,3,4,10],[2,6,7],[5,9],[8]]
[[1,2,5,8],[3,6,9],[4,10],[7]]=>[[1,3,4,7],[2,6,10],[5,9],[8]]=>[[1,2,3,9],[4,5,6],[7,8],[10]]
[[1,3],[2,6],[4,7],[5,8],[9]]=>[[1,2,4,5,9],[3,6,7,8]]=>[[1,2,3,4,7],[5,6,8,9]]
[[1,4,5,7,9],[2,8],[3],[6]]=>[[1,2,3,6],[4,8],[5],[7],[9]]=>[[1,3,8,9],[2,5],[4],[6],[7]]
[[1,7],[2,8],[3,10],[4],[5],[6],[9]]=>[[1,2,3,4,5,6,9],[7,8,10]]=>[[1,3,4,7,8,9,10],[2,5,6]]
[[1,4],[2,10],[3],[5],[6],[7],[8],[9]]=>[[1,2,3,5,6,7,8,9],[4,10]]=>[[1,3,4,5,6,7,9,10],[2,8]]
[[1,4],[2,6],[3,10],[5],[7],[8],[9]]=>[[1,2,3,5,7,8,9],[4,6,10]]=>[[1,3,4,5,7,9,10],[2,6,8]]
[[1,5],[2,10],[3],[4],[6],[7],[8],[9]]=>[[1,2,3,4,6,7,8,9],[5,10]]=>[[1,3,4,5,6,8,9,10],[2,7]]
[[1,2],[3,8],[4],[5],[6],[7],[9],[10]]=>[[1,3,4,5,6,7,9,10],[2,8]]=>[[1,2,3,5,6,7,8,9],[4,10]]
[[1,6],[2,10],[3],[4],[5],[7],[8],[9]]=>[[1,2,3,4,5,7,8,9],[6,10]]=>[[1,3,4,5,7,8,9,10],[2,6]]
[[1,4],[2,6],[3,8],[5,12],[7],[9],[10],[11]]=>[[1,2,3,5,7,9,10,11],[4,6,8,12]]=>[[1,3,4,5,7,9,11,12],[2,6,8,10]]
[[1,4],[2,6],[3,12],[5],[7],[8],[9],[10],[11]]=>[[1,2,3,5,7,8,9,10,11],[4,6,12]]=>[[1,3,4,5,6,7,9,11,12],[2,8,10]]
[[1,4],[2,7],[3,12],[5],[6],[8],[9],[10],[11]]=>[[1,2,3,5,6,8,9,10,11],[4,7,12]]=>[[1,3,4,5,6,8,9,11,12],[2,7,10]]
[[1,4],[2,8],[3,12],[5],[6],[7],[9],[10],[11]]=>[[1,2,3,5,6,7,9,10,11],[4,8,12]]=>[[1,3,4,5,7,8,9,11,12],[2,6,10]]
[[1,4],[2,12],[3],[5],[6],[7],[8],[9],[10],[11]]=>[[1,2,3,5,6,7,8,9,10,11],[4,12]]=>[[1,3,4,5,6,7,8,9,11,12],[2,10]]
[[1,2],[3,7],[4,9],[5],[6],[8],[10],[11],[12]]=>[[1,3,4,5,6,8,10,11,12],[2,7,9]]=>[[1,2,3,4,6,8,9,10,11],[5,7,12]]
[[1,2],[3,7],[4,12],[5],[6],[8],[9],[10],[11]]=>[[1,3,4,5,6,8,9,10,11],[2,7,12]]=>[[1,3,4,5,6,8,9,10,11],[2,7,12]]
[[1,2],[3,7],[4,10],[5],[6],[8],[9],[11],[12]]=>[[1,3,4,5,6,8,9,11,12],[2,7,10]]=>[[1,2,3,5,6,8,9,10,11],[4,7,12]]
[[1,2],[3,7],[4],[5],[6],[8],[9],[10],[11],[12]]=>[[1,3,4,5,6,8,9,10,11,12],[2,7]]=>[[1,2,3,4,5,6,8,9,10,11],[7,12]]
[[1,5],[2,7],[3,12],[4],[6],[8],[9],[10],[11]]=>[[1,2,3,4,6,8,9,10,11],[5,7,12]]=>[[1,3,4,5,6,8,10,11,12],[2,7,9]]
[[1,5],[2,8],[3,12],[4],[6],[7],[9],[10],[11]]=>[[1,2,3,4,6,7,9,10,11],[5,8,12]]=>[[1,3,4,5,7,8,10,11,12],[2,6,9]]
[[1,5],[2,12],[3],[4],[6],[7],[8],[9],[10],[11]]=>[[1,2,3,4,6,7,8,9,10,11],[5,12]]=>[[1,3,4,5,6,7,8,10,11,12],[2,9]]
[[1,2],[3,4],[5,10],[6],[7],[8],[9],[11],[12]]=>[[1,3,5,6,7,8,9,11,12],[2,4,10]]=>[[1,2,3,5,6,7,8,9,11],[4,10,12]]
[[1,2],[3,8],[4,12],[5],[6],[7],[9],[10],[11]]=>[[1,3,4,5,6,7,9,10,11],[2,8,12]]=>[[1,3,4,5,7,8,9,10,11],[2,6,12]]
[[1,2],[3,8],[4,10],[5],[6],[7],[9],[11],[12]]=>[[1,3,4,5,6,7,9,11,12],[2,8,10]]=>[[1,2,3,5,7,8,9,10,11],[4,6,12]]
[[1,2],[3,8],[4],[5],[6],[7],[9],[10],[11],[12]]=>[[1,3,4,5,6,7,9,10,11,12],[2,8]]=>[[1,2,3,4,5,7,8,9,10,11],[6,12]]
[[1,6],[2,8],[3,12],[4],[5],[7],[9],[10],[11]]=>[[1,2,3,4,5,7,9,10,11],[6,8,12]]=>[[1,3,4,5,7,9,10,11,12],[2,6,8]]
[[1,6],[2,12],[3],[4],[5],[7],[8],[9],[10],[11]]=>[[1,2,3,4,5,7,8,9,10,11],[6,12]]=>[[1,3,4,5,6,7,9,10,11,12],[2,8]]
[[1,2],[3,10],[4],[5],[6],[7],[8],[9],[11],[12]]=>[[1,3,4,5,6,7,8,9,11,12],[2,10]]=>[[1,2,3,5,6,7,8,9,10,11],[4,12]]
[[1,8],[2,12],[3],[4],[5],[6],[7],[9],[10],[11]]=>[[1,2,3,4,5,6,7,9,10,11],[8,12]]=>[[1,3,4,5,7,8,9,10,11,12],[2,6]]
[[1,2],[3,9],[4],[5],[6],[7],[8],[10],[11],[12]]=>[[1,3,4,5,6,7,8,10,11,12],[2,9]]=>[[1,2,3,4,6,7,8,9,10,11],[5,12]]
[[1,7],[2,12],[3],[4],[5],[6],[8],[9],[10],[11]]=>[[1,2,3,4,5,6,8,9,10,11],[7,12]]=>[[1,3,4,5,6,8,9,10,11,12],[2,7]]
[[1,2,5,9],[3,8],[4],[6],[7]]=>[[1,3,4,6,7],[2,8],[5],[9]]=>[[1,4,5,7,8],[2,6],[3],[9]]
[[1,4],[2,9],[3,10],[5],[6],[7],[8]]=>[[1,2,3,5,6,7,8],[4,9,10]]=>[[1,2,5,6,7,9,10],[3,4,8]]
[[1,6],[2,9],[3,10],[4],[5],[7],[8]]=>[[1,2,3,4,5,7,8],[6,9,10]]=>[[1,2,5,7,8,9,10],[3,4,6]]
[[1,6],[2,11],[3,12],[4],[5],[7],[8],[9],[10]]=>[[1,2,3,4,5,7,8,9,10],[6,11,12]]=>[[1,2,5,6,7,9,10,11,12],[3,4,8]]
[[1,2,3,5,6,8],[4,7],[9,10]]=>[[1,4,9],[2,7,10],[3],[5],[6],[8]]=>[[1,3,5],[2,4,8],[6],[7],[9],[10]]
[[1,4,8],[2,7],[3],[5],[6],[9]]=>[[1,2,3,5,6,9],[4,7],[8]]=>[[1,2,5,6,8,9],[3,7],[4]]
[[1,2,5,6,8],[3,9],[4],[7]]=>[[1,3,4,7],[2,9],[5],[6],[8]]=>[[1,2,7,8],[3,4],[5],[6],[9]]
[[1,2,3,5,7,8],[4,6],[9]]=>[[1,4,9],[2,6],[3],[5],[7],[8]]=>[[1,2,5],[3,7],[4],[6],[8],[9]]
[[1,2,3,4,6,8,9],[5,7],[10]]=>[[1,5,10],[2,7],[3],[4],[6],[8],[9]]=>[[1,2,5],[3,7],[4],[6],[8],[9],[10]]
Map
conjugate
Description
Sends a standard tableau to its conjugate tableau.
Map
Schützenberger involution
Description
Sends a standard tableau to the standard tableau obtained via the Schützenberger involution.
searching the database
Sorry, this map was not found in the database.