Identifier
-
Mp00106:
Standard tableaux
—catabolism⟶
Standard tableaux
Mp00153: Standard tableaux —inverse promotion⟶ Standard tableaux
Mp00153: Standard tableaux —inverse promotion⟶ Standard tableaux
St000330: Standard tableaux ⟶ ℤ
Values
[[1]] => [[1]] => [[1]] => [[1]] => 0
[[1,2]] => [[1,2]] => [[1,2]] => [[1,2]] => 0
[[1],[2]] => [[1,2]] => [[1,2]] => [[1,2]] => 0
[[1,2,3]] => [[1,2,3]] => [[1,2,3]] => [[1,2,3]] => 0
[[1,3],[2]] => [[1,2],[3]] => [[1,3],[2]] => [[1,2],[3]] => 2
[[1,2],[3]] => [[1,2,3]] => [[1,2,3]] => [[1,2,3]] => 0
[[1],[2],[3]] => [[1,2],[3]] => [[1,3],[2]] => [[1,2],[3]] => 2
[[1,2,3,4]] => [[1,2,3,4]] => [[1,2,3,4]] => [[1,2,3,4]] => 0
[[1,3,4],[2]] => [[1,2,4],[3]] => [[1,3,4],[2]] => [[1,2,3],[4]] => 3
[[1,2,4],[3]] => [[1,2,3],[4]] => [[1,2,4],[3]] => [[1,3,4],[2]] => 1
[[1,2,3],[4]] => [[1,2,3,4]] => [[1,2,3,4]] => [[1,2,3,4]] => 0
[[1,3],[2,4]] => [[1,2,4],[3]] => [[1,3,4],[2]] => [[1,2,3],[4]] => 3
[[1,2],[3,4]] => [[1,2,3,4]] => [[1,2,3,4]] => [[1,2,3,4]] => 0
[[1,4],[2],[3]] => [[1,2],[3],[4]] => [[1,4],[2],[3]] => [[1,3],[2],[4]] => 4
[[1,3],[2],[4]] => [[1,2,4],[3]] => [[1,3,4],[2]] => [[1,2,3],[4]] => 3
[[1,2],[3],[4]] => [[1,2,3],[4]] => [[1,2,4],[3]] => [[1,3,4],[2]] => 1
[[1],[2],[3],[4]] => [[1,2],[3],[4]] => [[1,4],[2],[3]] => [[1,3],[2],[4]] => 4
[[1,2,3,4,5]] => [[1,2,3,4,5]] => [[1,2,3,4,5]] => [[1,2,3,4,5]] => 0
[[1,3,4,5],[2]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => [[1,2,3,4],[5]] => 4
[[1,2,4,5],[3]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => 1
[[1,2,3,5],[4]] => [[1,2,3,4],[5]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => 2
[[1,2,3,4],[5]] => [[1,2,3,4,5]] => [[1,2,3,4,5]] => [[1,2,3,4,5]] => 0
[[1,3,5],[2,4]] => [[1,2,4],[3,5]] => [[1,3,5],[2,4]] => [[1,2,4],[3,5]] => 6
[[1,2,5],[3,4]] => [[1,2,3,4],[5]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => 2
[[1,3,4],[2,5]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => [[1,2,3,4],[5]] => 4
[[1,2,4],[3,5]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => 1
[[1,2,3],[4,5]] => [[1,2,3,4,5]] => [[1,2,3,4,5]] => [[1,2,3,4,5]] => 0
[[1,4,5],[2],[3]] => [[1,2,5],[3],[4]] => [[1,4,5],[2],[3]] => [[1,3,4],[2],[5]] => 5
[[1,3,5],[2],[4]] => [[1,2,4],[3],[5]] => [[1,3,5],[2],[4]] => [[1,2,4],[3],[5]] => 6
[[1,2,5],[3],[4]] => [[1,2,3],[4],[5]] => [[1,2,5],[3],[4]] => [[1,4,5],[2],[3]] => 3
[[1,3,4],[2],[5]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => [[1,2,3,4],[5]] => 4
[[1,2,4],[3],[5]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => 1
[[1,2,3],[4],[5]] => [[1,2,3,4],[5]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => 2
[[1,4],[2,5],[3]] => [[1,2,5],[3],[4]] => [[1,4,5],[2],[3]] => [[1,3,4],[2],[5]] => 5
[[1,3],[2,5],[4]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => [[1,2,3,4],[5]] => 4
[[1,2],[3,5],[4]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => 1
[[1,3],[2,4],[5]] => [[1,2,4],[3,5]] => [[1,3,5],[2,4]] => [[1,2,4],[3,5]] => 6
[[1,2],[3,4],[5]] => [[1,2,3,4],[5]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => 2
[[1,5],[2],[3],[4]] => [[1,2],[3],[4],[5]] => [[1,5],[2],[3],[4]] => [[1,4],[2],[3],[5]] => 7
[[1,4],[2],[3],[5]] => [[1,2,5],[3],[4]] => [[1,4,5],[2],[3]] => [[1,3,4],[2],[5]] => 5
[[1,3],[2],[4],[5]] => [[1,2,4],[3],[5]] => [[1,3,5],[2],[4]] => [[1,2,4],[3],[5]] => 6
[[1,2],[3],[4],[5]] => [[1,2,3],[4],[5]] => [[1,2,5],[3],[4]] => [[1,4,5],[2],[3]] => 3
[[1],[2],[3],[4],[5]] => [[1,2],[3],[4],[5]] => [[1,5],[2],[3],[4]] => [[1,4],[2],[3],[5]] => 7
[[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => 0
[[1,3,4,5,6],[2]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => [[1,2,3,4,5],[6]] => 5
[[1,2,4,5,6],[3]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => 1
[[1,2,3,5,6],[4]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => 2
[[1,2,3,4,6],[5]] => [[1,2,3,4,5],[6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => 3
[[1,2,3,4,5],[6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => 0
[[1,3,5,6],[2,4]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => [[1,2,4,5],[3,6]] => 7
[[1,2,5,6],[3,4]] => [[1,2,3,4],[5,6]] => [[1,2,3,6],[4,5]] => [[1,2,5,6],[3,4]] => 2
[[1,3,4,6],[2,5]] => [[1,2,4,5],[3,6]] => [[1,3,4,6],[2,5]] => [[1,2,3,5],[4,6]] => 8
[[1,2,4,6],[3,5]] => [[1,2,3,5],[4,6]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => 4
[[1,2,3,6],[4,5]] => [[1,2,3,4,5],[6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => 3
[[1,3,4,5],[2,6]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => [[1,2,3,4,5],[6]] => 5
[[1,2,4,5],[3,6]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => 1
[[1,2,3,5],[4,6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => 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]] => 0
[[1,4,5,6],[2],[3]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => [[1,3,4,5],[2],[6]] => 6
[[1,3,5,6],[2],[4]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => [[1,2,4,5],[3],[6]] => 7
[[1,2,5,6],[3],[4]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => 3
[[1,3,4,6],[2],[5]] => [[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => [[1,2,3,5],[4],[6]] => 8
[[1,2,4,6],[3],[5]] => [[1,2,3,5],[4],[6]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => 4
[[1,2,3,6],[4],[5]] => [[1,2,3,4],[5],[6]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => 5
[[1,3,4,5],[2],[6]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => [[1,2,3,4,5],[6]] => 5
[[1,2,4,5],[3],[6]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => 1
[[1,2,3,5],[4],[6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => 2
[[1,2,3,4],[5],[6]] => [[1,2,3,4,5],[6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => 3
[[1,3,5],[2,4,6]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => [[1,2,4,5],[3,6]] => 7
[[1,2,5],[3,4,6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => 2
[[1,3,4],[2,5,6]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => [[1,2,3,4,5],[6]] => 5
[[1,2,4],[3,5,6]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => 1
[[1,2,3],[4,5,6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => 0
[[1,4,6],[2,5],[3]] => [[1,2,5],[3,6],[4]] => [[1,4,6],[2,5],[3]] => [[1,3,5],[2,4],[6]] => 9
[[1,3,6],[2,5],[4]] => [[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => [[1,2,3,5],[4],[6]] => 8
[[1,2,6],[3,5],[4]] => [[1,2,3,5],[4],[6]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => 4
[[1,3,6],[2,4],[5]] => [[1,2,4],[3,5],[6]] => [[1,3,6],[2,4],[5]] => [[1,2,5],[3,6],[4]] => 10
[[1,2,6],[3,4],[5]] => [[1,2,3,4],[5],[6]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => 5
[[1,4,5],[2,6],[3]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => [[1,3,4,5],[2],[6]] => 6
[[1,3,5],[2,6],[4]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => [[1,2,4,5],[3],[6]] => 7
[[1,2,5],[3,6],[4]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => 3
[[1,3,4],[2,6],[5]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => [[1,2,3,4,5],[6]] => 5
[[1,2,4],[3,6],[5]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => 1
[[1,2,3],[4,6],[5]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => 2
[[1,3,5],[2,4],[6]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => [[1,2,4,5],[3,6]] => 7
[[1,2,5],[3,4],[6]] => [[1,2,3,4],[5,6]] => [[1,2,3,6],[4,5]] => [[1,2,5,6],[3,4]] => 2
[[1,3,4],[2,5],[6]] => [[1,2,4,5],[3,6]] => [[1,3,4,6],[2,5]] => [[1,2,3,5],[4,6]] => 8
[[1,2,4],[3,5],[6]] => [[1,2,3,5],[4,6]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => 4
[[1,2,3],[4,5],[6]] => [[1,2,3,4,5],[6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => 3
[[1,5,6],[2],[3],[4]] => [[1,2,6],[3],[4],[5]] => [[1,5,6],[2],[3],[4]] => [[1,4,5],[2],[3],[6]] => 8
[[1,4,6],[2],[3],[5]] => [[1,2,5],[3],[4],[6]] => [[1,4,6],[2],[3],[5]] => [[1,3,5],[2],[4],[6]] => 9
[[1,3,6],[2],[4],[5]] => [[1,2,4],[3],[5],[6]] => [[1,3,6],[2],[4],[5]] => [[1,2,5],[3],[4],[6]] => 10
[[1,2,6],[3],[4],[5]] => [[1,2,3],[4],[5],[6]] => [[1,2,6],[3],[4],[5]] => [[1,5,6],[2],[3],[4]] => 6
[[1,4,5],[2],[3],[6]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => [[1,3,4,5],[2],[6]] => 6
[[1,3,5],[2],[4],[6]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => [[1,2,4,5],[3],[6]] => 7
[[1,2,5],[3],[4],[6]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => 3
[[1,3,4],[2],[5],[6]] => [[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => [[1,2,3,5],[4],[6]] => 8
[[1,2,4],[3],[5],[6]] => [[1,2,3,5],[4],[6]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => 4
[[1,2,3],[4],[5],[6]] => [[1,2,3,4],[5],[6]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => 5
[[1,4],[2,5],[3,6]] => [[1,2,5],[3,6],[4]] => [[1,4,6],[2,5],[3]] => [[1,3,5],[2,4],[6]] => 9
[[1,3],[2,5],[4,6]] => [[1,2,4,5],[3,6]] => [[1,3,4,6],[2,5]] => [[1,2,3,5],[4,6]] => 8
>>> Load all 1358 entries. <<<[[1,2],[3,5],[4,6]] => [[1,2,3,5],[4,6]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => 4
[[1,3],[2,4],[5,6]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => [[1,2,4,5],[3,6]] => 7
[[1,2],[3,4],[5,6]] => [[1,2,3,4],[5,6]] => [[1,2,3,6],[4,5]] => [[1,2,5,6],[3,4]] => 2
[[1,5],[2,6],[3],[4]] => [[1,2,6],[3],[4],[5]] => [[1,5,6],[2],[3],[4]] => [[1,4,5],[2],[3],[6]] => 8
[[1,4],[2,6],[3],[5]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => [[1,3,4,5],[2],[6]] => 6
[[1,3],[2,6],[4],[5]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => [[1,2,4,5],[3],[6]] => 7
[[1,2],[3,6],[4],[5]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => 3
[[1,4],[2,5],[3],[6]] => [[1,2,5],[3,6],[4]] => [[1,4,6],[2,5],[3]] => [[1,3,5],[2,4],[6]] => 9
[[1,3],[2,5],[4],[6]] => [[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => [[1,2,3,5],[4],[6]] => 8
[[1,2],[3,5],[4],[6]] => [[1,2,3,5],[4],[6]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => 4
[[1,3],[2,4],[5],[6]] => [[1,2,4],[3,5],[6]] => [[1,3,6],[2,4],[5]] => [[1,2,5],[3,6],[4]] => 10
[[1,2],[3,4],[5],[6]] => [[1,2,3,4],[5],[6]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => 5
[[1,6],[2],[3],[4],[5]] => [[1,2],[3],[4],[5],[6]] => [[1,6],[2],[3],[4],[5]] => [[1,5],[2],[3],[4],[6]] => 11
[[1,5],[2],[3],[4],[6]] => [[1,2,6],[3],[4],[5]] => [[1,5,6],[2],[3],[4]] => [[1,4,5],[2],[3],[6]] => 8
[[1,4],[2],[3],[5],[6]] => [[1,2,5],[3],[4],[6]] => [[1,4,6],[2],[3],[5]] => [[1,3,5],[2],[4],[6]] => 9
[[1,3],[2],[4],[5],[6]] => [[1,2,4],[3],[5],[6]] => [[1,3,6],[2],[4],[5]] => [[1,2,5],[3],[4],[6]] => 10
[[1,2],[3],[4],[5],[6]] => [[1,2,3],[4],[5],[6]] => [[1,2,6],[3],[4],[5]] => [[1,5,6],[2],[3],[4]] => 6
[[1],[2],[3],[4],[5],[6]] => [[1,2],[3],[4],[5],[6]] => [[1,6],[2],[3],[4],[5]] => [[1,5],[2],[3],[4],[6]] => 11
[[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]] => 0
[[1,3,4,5,6,7],[2]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => [[1,2,3,4,5,6],[7]] => 6
[[1,2,4,5,6,7],[3]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => 1
[[1,2,3,5,6,7],[4]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => 2
[[1,2,3,4,6,7],[5]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => 3
[[1,2,3,4,5,7],[6]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => 4
[[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]] => 0
[[1,3,5,6,7],[2,4]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => [[1,2,4,5,6],[3,7]] => 8
[[1,2,5,6,7],[3,4]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => [[1,2,5,6,7],[3,4]] => 2
[[1,3,4,6,7],[2,5]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => [[1,2,3,5,6],[4,7]] => 9
[[1,2,4,6,7],[3,5]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => 4
[[1,2,3,6,7],[4,5]] => [[1,2,3,4,5],[6,7]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => 3
[[1,3,4,5,7],[2,6]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => [[1,2,3,4,6],[5,7]] => 10
[[1,2,4,5,7],[3,6]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => 5
[[1,2,3,5,7],[4,6]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => 6
[[1,2,3,4,7],[5,6]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => 4
[[1,3,4,5,6],[2,7]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => [[1,2,3,4,5,6],[7]] => 6
[[1,2,4,5,6],[3,7]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => 1
[[1,2,3,5,6],[4,7]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => 2
[[1,2,3,4,6],[5,7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => 3
[[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]] => 0
[[1,4,5,6,7],[2],[3]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => [[1,3,4,5,6],[2],[7]] => 7
[[1,3,5,6,7],[2],[4]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => [[1,2,4,5,6],[3],[7]] => 8
[[1,2,5,6,7],[3],[4]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => 3
[[1,3,4,6,7],[2],[5]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => [[1,2,3,5,6],[4],[7]] => 9
[[1,2,4,6,7],[3],[5]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => 4
[[1,2,3,6,7],[4],[5]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => 5
[[1,3,4,5,7],[2],[6]] => [[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => [[1,2,3,4,6],[5],[7]] => 10
[[1,2,4,5,7],[3],[6]] => [[1,2,3,5,6],[4],[7]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => 5
[[1,2,3,5,7],[4],[6]] => [[1,2,3,4,6],[5],[7]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => 6
[[1,2,3,4,7],[5],[6]] => [[1,2,3,4,5],[6],[7]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => 7
[[1,3,4,5,6],[2],[7]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => [[1,2,3,4,5,6],[7]] => 6
[[1,2,4,5,6],[3],[7]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => 1
[[1,2,3,5,6],[4],[7]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => 2
[[1,2,3,4,6],[5],[7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => 3
[[1,2,3,4,5],[6],[7]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => 4
[[1,3,5,7],[2,4,6]] => [[1,2,4,6],[3,5,7]] => [[1,3,5,7],[2,4,6]] => [[1,2,4,6],[3,5,7]] => 12
[[1,2,5,7],[3,4,6]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => 6
[[1,3,4,7],[2,5,6]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => [[1,2,3,4,6],[5,7]] => 10
[[1,2,4,7],[3,5,6]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => 5
[[1,2,3,7],[4,5,6]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => 4
[[1,3,5,6],[2,4,7]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => [[1,2,4,5,6],[3,7]] => 8
[[1,2,5,6],[3,4,7]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => [[1,2,5,6,7],[3,4]] => 2
[[1,3,4,6],[2,5,7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => [[1,2,3,5,6],[4,7]] => 9
[[1,2,4,6],[3,5,7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => 4
[[1,2,3,6],[4,5,7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => 3
[[1,3,4,5],[2,6,7]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => [[1,2,3,4,5,6],[7]] => 6
[[1,2,4,5],[3,6,7]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => 1
[[1,2,3,5],[4,6,7]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => 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]] => 0
[[1,4,6,7],[2,5],[3]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => [[1,3,5,6],[2,4],[7]] => 10
[[1,3,6,7],[2,5],[4]] => [[1,2,4,5],[3,7],[6]] => [[1,3,4,7],[2,6],[5]] => [[1,2,3,6],[4,5],[7]] => 9
[[1,2,6,7],[3,5],[4]] => [[1,2,3,5],[4,7],[6]] => [[1,2,4,7],[3,6],[5]] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,6,7],[2,4],[5]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => [[1,2,5,6],[3,7],[4]] => 11
[[1,2,6,7],[3,4],[5]] => [[1,2,3,4],[5,7],[6]] => [[1,2,3,7],[4,6],[5]] => [[1,2,6,7],[3,5],[4]] => 5
[[1,4,5,7],[2,6],[3]] => [[1,2,5,6],[3,7],[4]] => [[1,4,5,7],[2,6],[3]] => [[1,3,4,6],[2,5],[7]] => 11
[[1,3,5,7],[2,6],[4]] => [[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,6],[4]] => [[1,2,4,6],[3,5],[7]] => 12
[[1,2,5,7],[3,6],[4]] => [[1,2,3,6],[4,7],[5]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => 7
[[1,3,4,7],[2,6],[5]] => [[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => [[1,2,3,4,6],[5],[7]] => 10
[[1,2,4,7],[3,6],[5]] => [[1,2,3,5,6],[4],[7]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => 5
[[1,2,3,7],[4,6],[5]] => [[1,2,3,4,6],[5],[7]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => 6
[[1,3,5,7],[2,4],[6]] => [[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,4],[6]] => [[1,2,4,6],[3,7],[5]] => 12
[[1,2,5,7],[3,4],[6]] => [[1,2,3,4],[5,6],[7]] => [[1,2,3,7],[4,5],[6]] => [[1,2,6,7],[3,4],[5]] => 6
[[1,3,4,7],[2,5],[6]] => [[1,2,4,5],[3,6],[7]] => [[1,3,4,7],[2,5],[6]] => [[1,2,3,6],[4,7],[5]] => 13
[[1,2,4,7],[3,5],[6]] => [[1,2,3,5],[4,6],[7]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => 8
[[1,2,3,7],[4,5],[6]] => [[1,2,3,4,5],[6],[7]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => 7
[[1,4,5,6],[2,7],[3]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => [[1,3,4,5,6],[2],[7]] => 7
[[1,3,5,6],[2,7],[4]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => [[1,2,4,5,6],[3],[7]] => 8
[[1,2,5,6],[3,7],[4]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => 3
[[1,3,4,6],[2,7],[5]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => [[1,2,3,5,6],[4],[7]] => 9
[[1,2,4,6],[3,7],[5]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => 4
[[1,2,3,6],[4,7],[5]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => 5
[[1,3,4,5],[2,7],[6]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => [[1,2,3,4,5,6],[7]] => 6
[[1,2,4,5],[3,7],[6]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => 1
[[1,2,3,5],[4,7],[6]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => 2
[[1,2,3,4],[5,7],[6]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => 3
[[1,3,5,6],[2,4],[7]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => [[1,2,4,5,6],[3,7]] => 8
[[1,2,5,6],[3,4],[7]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => [[1,2,5,6,7],[3,4]] => 2
[[1,3,4,6],[2,5],[7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => [[1,2,3,5,6],[4,7]] => 9
[[1,2,4,6],[3,5],[7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => 4
[[1,2,3,6],[4,5],[7]] => [[1,2,3,4,5],[6,7]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => 3
[[1,3,4,5],[2,6],[7]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => [[1,2,3,4,6],[5,7]] => 10
[[1,2,4,5],[3,6],[7]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => 5
[[1,2,3,5],[4,6],[7]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => 6
[[1,2,3,4],[5,6],[7]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => 4
[[1,5,6,7],[2],[3],[4]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => [[1,4,5,6],[2],[3],[7]] => 9
[[1,4,6,7],[2],[3],[5]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => [[1,3,5,6],[2],[4],[7]] => 10
[[1,3,6,7],[2],[4],[5]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => [[1,2,5,6],[3],[4],[7]] => 11
[[1,2,6,7],[3],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,4,5,7],[2],[3],[6]] => [[1,2,5,6],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6]] => [[1,3,4,6],[2],[5],[7]] => 11
[[1,3,5,7],[2],[4],[6]] => [[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => [[1,2,4,6],[3],[5],[7]] => 12
[[1,2,5,7],[3],[4],[6]] => [[1,2,3,6],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => 7
[[1,3,4,7],[2],[5],[6]] => [[1,2,4,5],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6]] => [[1,2,3,6],[4],[5],[7]] => 13
[[1,2,4,7],[3],[5],[6]] => [[1,2,3,5],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => 8
[[1,2,3,7],[4],[5],[6]] => [[1,2,3,4],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => 9
[[1,4,5,6],[2],[3],[7]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => [[1,3,4,5,6],[2],[7]] => 7
[[1,3,5,6],[2],[4],[7]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => [[1,2,4,5,6],[3],[7]] => 8
[[1,2,5,6],[3],[4],[7]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => 3
[[1,3,4,6],[2],[5],[7]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => [[1,2,3,5,6],[4],[7]] => 9
[[1,2,4,6],[3],[5],[7]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => 4
[[1,2,3,6],[4],[5],[7]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => 5
[[1,3,4,5],[2],[6],[7]] => [[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => [[1,2,3,4,6],[5],[7]] => 10
[[1,2,4,5],[3],[6],[7]] => [[1,2,3,5,6],[4],[7]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => 5
[[1,2,3,5],[4],[6],[7]] => [[1,2,3,4,6],[5],[7]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => 6
[[1,2,3,4],[5],[6],[7]] => [[1,2,3,4,5],[6],[7]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => 7
[[1,4,6],[2,5,7],[3]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => [[1,3,5,6],[2,4],[7]] => 10
[[1,3,6],[2,5,7],[4]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => [[1,2,3,5,6],[4],[7]] => 9
[[1,2,6],[3,5,7],[4]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => 4
[[1,3,6],[2,4,7],[5]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => [[1,2,5,6],[3,7],[4]] => 11
[[1,2,6],[3,4,7],[5]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => 5
[[1,4,5],[2,6,7],[3]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => [[1,3,4,5,6],[2],[7]] => 7
[[1,3,5],[2,6,7],[4]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => [[1,2,4,5,6],[3],[7]] => 8
[[1,2,5],[3,6,7],[4]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => 3
[[1,3,4],[2,6,7],[5]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => [[1,2,3,4,5,6],[7]] => 6
[[1,2,4],[3,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => 1
[[1,2,3],[4,6,7],[5]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => 2
[[1,3,5],[2,4,7],[6]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => [[1,2,4,5,6],[3,7]] => 8
[[1,2,5],[3,4,7],[6]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => [[1,2,5,6,7],[3,4]] => 2
[[1,3,4],[2,5,7],[6]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => [[1,2,3,5,6],[4,7]] => 9
[[1,2,4],[3,5,7],[6]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => 4
[[1,2,3],[4,5,7],[6]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => 3
[[1,3,5],[2,4,6],[7]] => [[1,2,4,6],[3,5,7]] => [[1,3,5,7],[2,4,6]] => [[1,2,4,6],[3,5,7]] => 12
[[1,2,5],[3,4,6],[7]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => 6
[[1,3,4],[2,5,6],[7]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => [[1,2,3,4,6],[5,7]] => 10
[[1,2,4],[3,5,6],[7]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => 5
[[1,2,3],[4,5,6],[7]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => 4
[[1,4,7],[2,5],[3,6]] => [[1,2,5],[3,6],[4,7]] => [[1,4,7],[2,5],[3,6]] => [[1,3,6],[2,4],[5,7]] => 14
[[1,3,7],[2,5],[4,6]] => [[1,2,4,5],[3,6],[7]] => [[1,3,4,7],[2,5],[6]] => [[1,2,3,6],[4,7],[5]] => 13
[[1,2,7],[3,5],[4,6]] => [[1,2,3,5],[4,6],[7]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => 8
[[1,3,7],[2,4],[5,6]] => [[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,4],[6]] => [[1,2,4,6],[3,7],[5]] => 12
[[1,2,7],[3,4],[5,6]] => [[1,2,3,4],[5,6],[7]] => [[1,2,3,7],[4,5],[6]] => [[1,2,6,7],[3,4],[5]] => 6
[[1,4,6],[2,5],[3,7]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => [[1,3,5,6],[2,4],[7]] => 10
[[1,3,6],[2,5],[4,7]] => [[1,2,4,5],[3,7],[6]] => [[1,3,4,7],[2,6],[5]] => [[1,2,3,6],[4,5],[7]] => 9
[[1,2,6],[3,5],[4,7]] => [[1,2,3,5],[4,7],[6]] => [[1,2,4,7],[3,6],[5]] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,6],[2,4],[5,7]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => [[1,2,5,6],[3,7],[4]] => 11
[[1,2,6],[3,4],[5,7]] => [[1,2,3,4],[5,7],[6]] => [[1,2,3,7],[4,6],[5]] => [[1,2,6,7],[3,5],[4]] => 5
[[1,4,5],[2,6],[3,7]] => [[1,2,5,6],[3,7],[4]] => [[1,4,5,7],[2,6],[3]] => [[1,3,4,6],[2,5],[7]] => 11
[[1,3,5],[2,6],[4,7]] => [[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,6],[4]] => [[1,2,4,6],[3,5],[7]] => 12
[[1,2,5],[3,6],[4,7]] => [[1,2,3,6],[4,7],[5]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => 7
[[1,3,4],[2,6],[5,7]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => [[1,2,3,4,6],[5,7]] => 10
[[1,2,4],[3,6],[5,7]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => 5
[[1,2,3],[4,6],[5,7]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => 6
[[1,3,5],[2,4],[6,7]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => [[1,2,4,5,6],[3,7]] => 8
[[1,2,5],[3,4],[6,7]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => [[1,2,5,6,7],[3,4]] => 2
[[1,3,4],[2,5],[6,7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => [[1,2,3,5,6],[4,7]] => 9
[[1,2,4],[3,5],[6,7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => 4
[[1,2,3],[4,5],[6,7]] => [[1,2,3,4,5],[6,7]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => 3
[[1,5,7],[2,6],[3],[4]] => [[1,2,6],[3,7],[4],[5]] => [[1,5,7],[2,6],[3],[4]] => [[1,4,6],[2,5],[3],[7]] => 13
[[1,4,7],[2,6],[3],[5]] => [[1,2,5,6],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6]] => [[1,3,4,6],[2],[5],[7]] => 11
[[1,3,7],[2,6],[4],[5]] => [[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => [[1,2,4,6],[3],[5],[7]] => 12
[[1,2,7],[3,6],[4],[5]] => [[1,2,3,6],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => 7
[[1,4,7],[2,5],[3],[6]] => [[1,2,5],[3,6],[4],[7]] => [[1,4,7],[2,5],[3],[6]] => [[1,3,6],[2,4],[5],[7]] => 14
[[1,3,7],[2,5],[4],[6]] => [[1,2,4,5],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6]] => [[1,2,3,6],[4],[5],[7]] => 13
[[1,2,7],[3,5],[4],[6]] => [[1,2,3,5],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => 8
[[1,3,7],[2,4],[5],[6]] => [[1,2,4],[3,5],[6],[7]] => [[1,3,7],[2,4],[5],[6]] => [[1,2,6],[3,7],[4],[5]] => 15
[[1,2,7],[3,4],[5],[6]] => [[1,2,3,4],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => 9
[[1,5,6],[2,7],[3],[4]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => [[1,4,5,6],[2],[3],[7]] => 9
[[1,4,6],[2,7],[3],[5]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => [[1,3,5,6],[2],[4],[7]] => 10
[[1,3,6],[2,7],[4],[5]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => [[1,2,5,6],[3],[4],[7]] => 11
[[1,2,6],[3,7],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,4,5],[2,7],[3],[6]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => [[1,3,4,5,6],[2],[7]] => 7
[[1,3,5],[2,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => [[1,2,4,5,6],[3],[7]] => 8
[[1,2,5],[3,7],[4],[6]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => 3
[[1,3,4],[2,7],[5],[6]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => [[1,2,3,5,6],[4],[7]] => 9
[[1,2,4],[3,7],[5],[6]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => 4
[[1,2,3],[4,7],[5],[6]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => 5
[[1,4,6],[2,5],[3],[7]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => [[1,3,5,6],[2,4],[7]] => 10
[[1,3,6],[2,5],[4],[7]] => [[1,2,4,5],[3,7],[6]] => [[1,3,4,7],[2,6],[5]] => [[1,2,3,6],[4,5],[7]] => 9
[[1,2,6],[3,5],[4],[7]] => [[1,2,3,5],[4,7],[6]] => [[1,2,4,7],[3,6],[5]] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3,6],[2,4],[5],[7]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => [[1,2,5,6],[3,7],[4]] => 11
[[1,2,6],[3,4],[5],[7]] => [[1,2,3,4],[5,7],[6]] => [[1,2,3,7],[4,6],[5]] => [[1,2,6,7],[3,5],[4]] => 5
[[1,4,5],[2,6],[3],[7]] => [[1,2,5,6],[3,7],[4]] => [[1,4,5,7],[2,6],[3]] => [[1,3,4,6],[2,5],[7]] => 11
[[1,3,5],[2,6],[4],[7]] => [[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,6],[4]] => [[1,2,4,6],[3,5],[7]] => 12
[[1,2,5],[3,6],[4],[7]] => [[1,2,3,6],[4,7],[5]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => 7
[[1,3,4],[2,6],[5],[7]] => [[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => [[1,2,3,4,6],[5],[7]] => 10
[[1,2,4],[3,6],[5],[7]] => [[1,2,3,5,6],[4],[7]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => 5
[[1,2,3],[4,6],[5],[7]] => [[1,2,3,4,6],[5],[7]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => 6
[[1,3,5],[2,4],[6],[7]] => [[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,4],[6]] => [[1,2,4,6],[3,7],[5]] => 12
[[1,2,5],[3,4],[6],[7]] => [[1,2,3,4],[5,6],[7]] => [[1,2,3,7],[4,5],[6]] => [[1,2,6,7],[3,4],[5]] => 6
[[1,3,4],[2,5],[6],[7]] => [[1,2,4,5],[3,6],[7]] => [[1,3,4,7],[2,5],[6]] => [[1,2,3,6],[4,7],[5]] => 13
[[1,2,4],[3,5],[6],[7]] => [[1,2,3,5],[4,6],[7]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => 8
[[1,2,3],[4,5],[6],[7]] => [[1,2,3,4,5],[6],[7]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => 7
[[1,6,7],[2],[3],[4],[5]] => [[1,2,7],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5]] => [[1,5,6],[2],[3],[4],[7]] => 12
[[1,5,7],[2],[3],[4],[6]] => [[1,2,6],[3],[4],[5],[7]] => [[1,5,7],[2],[3],[4],[6]] => [[1,4,6],[2],[3],[5],[7]] => 13
[[1,4,7],[2],[3],[5],[6]] => [[1,2,5],[3],[4],[6],[7]] => [[1,4,7],[2],[3],[5],[6]] => [[1,3,6],[2],[4],[5],[7]] => 14
[[1,3,7],[2],[4],[5],[6]] => [[1,2,4],[3],[5],[6],[7]] => [[1,3,7],[2],[4],[5],[6]] => [[1,2,6],[3],[4],[5],[7]] => 15
[[1,2,7],[3],[4],[5],[6]] => [[1,2,3],[4],[5],[6],[7]] => [[1,2,7],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1,5,6],[2],[3],[4],[7]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => [[1,4,5,6],[2],[3],[7]] => 9
[[1,4,6],[2],[3],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => [[1,3,5,6],[2],[4],[7]] => 10
[[1,3,6],[2],[4],[5],[7]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => [[1,2,5,6],[3],[4],[7]] => 11
[[1,2,6],[3],[4],[5],[7]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,4,5],[2],[3],[6],[7]] => [[1,2,5,6],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6]] => [[1,3,4,6],[2],[5],[7]] => 11
[[1,3,5],[2],[4],[6],[7]] => [[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => [[1,2,4,6],[3],[5],[7]] => 12
[[1,2,5],[3],[4],[6],[7]] => [[1,2,3,6],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => 7
[[1,3,4],[2],[5],[6],[7]] => [[1,2,4,5],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6]] => [[1,2,3,6],[4],[5],[7]] => 13
[[1,2,4],[3],[5],[6],[7]] => [[1,2,3,5],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => 8
[[1,2,3],[4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => 9
[[1,5],[2,6],[3,7],[4]] => [[1,2,6],[3,7],[4],[5]] => [[1,5,7],[2,6],[3],[4]] => [[1,4,6],[2,5],[3],[7]] => 13
[[1,4],[2,6],[3,7],[5]] => [[1,2,5,6],[3,7],[4]] => [[1,4,5,7],[2,6],[3]] => [[1,3,4,6],[2,5],[7]] => 11
[[1,3],[2,6],[4,7],[5]] => [[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,6],[4]] => [[1,2,4,6],[3,5],[7]] => 12
[[1,2],[3,6],[4,7],[5]] => [[1,2,3,6],[4,7],[5]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => 7
[[1,4],[2,5],[3,7],[6]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => [[1,3,5,6],[2,4],[7]] => 10
[[1,3],[2,5],[4,7],[6]] => [[1,2,4,5],[3,7],[6]] => [[1,3,4,7],[2,6],[5]] => [[1,2,3,6],[4,5],[7]] => 9
[[1,2],[3,5],[4,7],[6]] => [[1,2,3,5],[4,7],[6]] => [[1,2,4,7],[3,6],[5]] => [[1,3,6,7],[2,5],[4]] => 4
[[1,3],[2,4],[5,7],[6]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => [[1,2,5,6],[3,7],[4]] => 11
[[1,2],[3,4],[5,7],[6]] => [[1,2,3,4],[5,7],[6]] => [[1,2,3,7],[4,6],[5]] => [[1,2,6,7],[3,5],[4]] => 5
[[1,4],[2,5],[3,6],[7]] => [[1,2,5],[3,6],[4,7]] => [[1,4,7],[2,5],[3,6]] => [[1,3,6],[2,4],[5,7]] => 14
[[1,3],[2,5],[4,6],[7]] => [[1,2,4,5],[3,6],[7]] => [[1,3,4,7],[2,5],[6]] => [[1,2,3,6],[4,7],[5]] => 13
[[1,2],[3,5],[4,6],[7]] => [[1,2,3,5],[4,6],[7]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => 8
[[1,3],[2,4],[5,6],[7]] => [[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,4],[6]] => [[1,2,4,6],[3,7],[5]] => 12
[[1,2],[3,4],[5,6],[7]] => [[1,2,3,4],[5,6],[7]] => [[1,2,3,7],[4,5],[6]] => [[1,2,6,7],[3,4],[5]] => 6
[[1,6],[2,7],[3],[4],[5]] => [[1,2,7],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5]] => [[1,5,6],[2],[3],[4],[7]] => 12
[[1,5],[2,7],[3],[4],[6]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => [[1,4,5,6],[2],[3],[7]] => 9
[[1,4],[2,7],[3],[5],[6]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => [[1,3,5,6],[2],[4],[7]] => 10
[[1,3],[2,7],[4],[5],[6]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => [[1,2,5,6],[3],[4],[7]] => 11
[[1,2],[3,7],[4],[5],[6]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => 6
[[1,5],[2,6],[3],[4],[7]] => [[1,2,6],[3,7],[4],[5]] => [[1,5,7],[2,6],[3],[4]] => [[1,4,6],[2,5],[3],[7]] => 13
[[1,4],[2,6],[3],[5],[7]] => [[1,2,5,6],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6]] => [[1,3,4,6],[2],[5],[7]] => 11
[[1,3],[2,6],[4],[5],[7]] => [[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => [[1,2,4,6],[3],[5],[7]] => 12
[[1,2],[3,6],[4],[5],[7]] => [[1,2,3,6],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => 7
[[1,4],[2,5],[3],[6],[7]] => [[1,2,5],[3,6],[4],[7]] => [[1,4,7],[2,5],[3],[6]] => [[1,3,6],[2,4],[5],[7]] => 14
[[1,3],[2,5],[4],[6],[7]] => [[1,2,4,5],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6]] => [[1,2,3,6],[4],[5],[7]] => 13
[[1,2],[3,5],[4],[6],[7]] => [[1,2,3,5],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => 8
[[1,3],[2,4],[5],[6],[7]] => [[1,2,4],[3,5],[6],[7]] => [[1,3,7],[2,4],[5],[6]] => [[1,2,6],[3,7],[4],[5]] => 15
[[1,2],[3,4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => 9
[[1,7],[2],[3],[4],[5],[6]] => [[1,2],[3],[4],[5],[6],[7]] => [[1,7],[2],[3],[4],[5],[6]] => [[1,6],[2],[3],[4],[5],[7]] => 16
[[1,6],[2],[3],[4],[5],[7]] => [[1,2,7],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5]] => [[1,5,6],[2],[3],[4],[7]] => 12
[[1,5],[2],[3],[4],[6],[7]] => [[1,2,6],[3],[4],[5],[7]] => [[1,5,7],[2],[3],[4],[6]] => [[1,4,6],[2],[3],[5],[7]] => 13
[[1,4],[2],[3],[5],[6],[7]] => [[1,2,5],[3],[4],[6],[7]] => [[1,4,7],[2],[3],[5],[6]] => [[1,3,6],[2],[4],[5],[7]] => 14
[[1,3],[2],[4],[5],[6],[7]] => [[1,2,4],[3],[5],[6],[7]] => [[1,3,7],[2],[4],[5],[6]] => [[1,2,6],[3],[4],[5],[7]] => 15
[[1,2],[3],[4],[5],[6],[7]] => [[1,2,3],[4],[5],[6],[7]] => [[1,2,7],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5]] => 10
[[1],[2],[3],[4],[5],[6],[7]] => [[1,2],[3],[4],[5],[6],[7]] => [[1,7],[2],[3],[4],[5],[6]] => [[1,6],[2],[3],[4],[5],[7]] => 16
[[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]] => 0
[[1,3,4,5,6,7,8],[2]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => [[1,2,3,4,5,6,7],[8]] => 7
[[1,2,4,5,6,7,8],[3]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,2,3,5,6,7,8],[4]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => 2
[[1,2,3,4,6,7,8],[5]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => 3
[[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => 4
[[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => 5
[[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]] => 0
[[1,3,5,6,7,8],[2,4]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => [[1,2,4,5,6,7],[3,8]] => 9
[[1,2,5,6,7,8],[3,4]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3,4,6,7,8],[2,5]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => [[1,2,3,5,6,7],[4,8]] => 10
[[1,2,4,6,7,8],[3,5]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => 4
[[1,2,3,6,7,8],[4,5]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => 3
[[1,3,4,5,7,8],[2,6]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => [[1,2,3,4,6,7],[5,8]] => 11
[[1,2,4,5,7,8],[3,6]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => 5
[[1,2,3,5,7,8],[4,6]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => 6
[[1,2,3,4,7,8],[5,6]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => 4
[[1,3,4,5,6,8],[2,7]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => [[1,2,3,4,5,7],[6,8]] => 12
[[1,2,4,5,6,8],[3,7]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => 6
[[1,2,3,5,6,8],[4,7]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => 7
[[1,2,3,4,6,8],[5,7]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => 8
[[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => 5
[[1,3,4,5,6,7],[2,8]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => [[1,2,3,4,5,6,7],[8]] => 7
[[1,2,4,5,6,7],[3,8]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,2,3,5,6,7],[4,8]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => 2
[[1,2,3,4,6,7],[5,8]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => 3
[[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => 4
[[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]] => 0
[[1,4,5,6,7,8],[2],[3]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => [[1,3,4,5,6,7],[2],[8]] => 8
[[1,3,5,6,7,8],[2],[4]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => [[1,2,4,5,6,7],[3],[8]] => 9
[[1,2,5,6,7,8],[3],[4]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,4,6,7,8],[2],[5]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => [[1,2,3,5,6,7],[4],[8]] => 10
[[1,2,4,6,7,8],[3],[5]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => 4
[[1,2,3,6,7,8],[4],[5]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => 5
[[1,3,4,5,7,8],[2],[6]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => [[1,2,3,4,6,7],[5],[8]] => 11
[[1,2,4,5,7,8],[3],[6]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => 5
[[1,2,3,5,7,8],[4],[6]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => 6
[[1,2,3,4,7,8],[5],[6]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => 7
[[1,3,4,5,6,8],[2],[7]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => [[1,2,3,4,5,7],[6],[8]] => 12
[[1,2,4,5,6,8],[3],[7]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => 6
[[1,2,3,5,6,8],[4],[7]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => 7
[[1,2,3,4,6,8],[5],[7]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => 8
[[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => 9
[[1,3,4,5,6,7],[2],[8]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => [[1,2,3,4,5,6,7],[8]] => 7
[[1,2,4,5,6,7],[3],[8]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,2,3,5,6,7],[4],[8]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => 2
[[1,2,3,4,6,7],[5],[8]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => 3
[[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => 4
[[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => 5
[[1,3,5,7,8],[2,4,6]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => [[1,2,4,6,7],[3,5,8]] => 13
[[1,2,5,7,8],[3,4,6]] => [[1,2,3,4,6],[5,7,8]] => [[1,2,3,5,8],[4,6,7]] => [[1,2,4,7,8],[3,5,6]] => 6
[[1,3,4,7,8],[2,5,6]] => [[1,2,4,5,6],[3,7,8]] => [[1,3,4,5,8],[2,6,7]] => [[1,2,3,4,7],[5,6,8]] => 11
[[1,2,4,7,8],[3,5,6]] => [[1,2,3,5,6],[4,7,8]] => [[1,2,4,5,8],[3,6,7]] => [[1,3,4,7,8],[2,5,6]] => 5
[[1,2,3,7,8],[4,5,6]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => 4
[[1,3,5,6,8],[2,4,7]] => [[1,2,4,6,7],[3,5,8]] => [[1,3,5,6,8],[2,4,7]] => [[1,2,4,5,7],[3,6,8]] => 14
[[1,2,5,6,8],[3,4,7]] => [[1,2,3,4,7],[5,6,8]] => [[1,2,3,6,8],[4,5,7]] => [[1,2,5,7,8],[3,4,6]] => 7
[[1,3,4,6,8],[2,5,7]] => [[1,2,4,5,7],[3,6,8]] => [[1,3,4,6,8],[2,5,7]] => [[1,2,3,5,7],[4,6,8]] => 15
[[1,2,4,6,8],[3,5,7]] => [[1,2,3,5,7],[4,6,8]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => 9
[[1,2,3,6,8],[4,5,7]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => 8
[[1,3,4,5,8],[2,6,7]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => [[1,2,3,4,5,7],[6,8]] => 12
[[1,2,4,5,8],[3,6,7]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => 6
[[1,2,3,5,8],[4,6,7]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => 7
[[1,2,3,4,8],[5,6,7]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => 5
[[1,3,5,6,7],[2,4,8]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => [[1,2,4,5,6,7],[3,8]] => 9
[[1,2,5,6,7],[3,4,8]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3,4,6,7],[2,5,8]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => [[1,2,3,5,6,7],[4,8]] => 10
[[1,2,4,6,7],[3,5,8]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => 4
[[1,2,3,6,7],[4,5,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => 3
[[1,3,4,5,7],[2,6,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => [[1,2,3,4,6,7],[5,8]] => 11
[[1,2,4,5,7],[3,6,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => 5
[[1,2,3,5,7],[4,6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => 6
[[1,2,3,4,7],[5,6,8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => 4
[[1,3,4,5,6],[2,7,8]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => [[1,2,3,4,5,6,7],[8]] => 7
[[1,2,4,5,6],[3,7,8]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,2,3,5,6],[4,7,8]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => 2
[[1,2,3,4,6],[5,7,8]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => 3
[[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]] => 0
[[1,4,6,7,8],[2,5],[3]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => [[1,3,5,6,7],[2,4],[8]] => 11
[[1,3,6,7,8],[2,5],[4]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => [[1,2,3,6,7],[4,5],[8]] => 10
[[1,2,6,7,8],[3,5],[4]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6,7,8],[2,4],[5]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => [[1,2,5,6,7],[3,8],[4]] => 12
[[1,2,6,7,8],[3,4],[5]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => [[1,2,6,7,8],[3,5],[4]] => 5
[[1,4,5,7,8],[2,6],[3]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => [[1,3,4,6,7],[2,5],[8]] => 12
[[1,3,5,7,8],[2,6],[4]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => [[1,2,4,6,7],[3,5],[8]] => 13
[[1,2,5,7,8],[3,6],[4]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => 7
[[1,3,4,7,8],[2,6],[5]] => [[1,2,4,5,6],[3,8],[7]] => [[1,3,4,5,8],[2,7],[6]] => [[1,2,3,4,7],[5,6],[8]] => 11
[[1,2,4,7,8],[3,6],[5]] => [[1,2,3,5,6],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => 5
[[1,2,3,7,8],[4,6],[5]] => [[1,2,3,4,6],[5,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => 6
[[1,3,5,7,8],[2,4],[6]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => [[1,2,4,6,7],[3,8],[5]] => 13
[[1,2,5,7,8],[3,4],[6]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => [[1,2,6,7,8],[3,4],[5]] => 6
[[1,3,4,7,8],[2,5],[6]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => [[1,2,3,6,7],[4,8],[5]] => 14
[[1,2,4,7,8],[3,5],[6]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => 8
[[1,2,3,7,8],[4,5],[6]] => [[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => 7
[[1,4,5,6,8],[2,7],[3]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => [[1,3,4,5,7],[2,6],[8]] => 13
[[1,3,5,6,8],[2,7],[4]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => [[1,2,4,5,7],[3,6],[8]] => 14
[[1,2,5,6,8],[3,7],[4]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => 8
[[1,3,4,6,8],[2,7],[5]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => [[1,2,3,5,7],[4,6],[8]] => 15
[[1,2,4,6,8],[3,7],[5]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => 9
[[1,2,3,6,8],[4,7],[5]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => 10
[[1,3,4,5,8],[2,7],[6]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => [[1,2,3,4,5,7],[6],[8]] => 12
[[1,2,4,5,8],[3,7],[6]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => 6
[[1,2,3,5,8],[4,7],[6]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => 7
[[1,2,3,4,8],[5,7],[6]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => 8
[[1,3,5,6,8],[2,4],[7]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => [[1,2,4,5,7],[3,8],[6]] => 14
[[1,2,5,6,8],[3,4],[7]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => [[1,2,5,7,8],[3,4],[6]] => 7
[[1,3,4,6,8],[2,5],[7]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => [[1,2,3,5,7],[4,8],[6]] => 15
[[1,2,4,6,8],[3,5],[7]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => 9
[[1,2,3,6,8],[4,5],[7]] => [[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => 8
[[1,3,4,5,8],[2,6],[7]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => [[1,2,3,4,7],[5,8],[6]] => 16
[[1,2,4,5,8],[3,6],[7]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => 10
[[1,2,3,5,8],[4,6],[7]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => 11
[[1,2,3,4,8],[5,6],[7]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => 9
[[1,4,5,6,7],[2,8],[3]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => [[1,3,4,5,6,7],[2],[8]] => 8
[[1,3,5,6,7],[2,8],[4]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => [[1,2,4,5,6,7],[3],[8]] => 9
[[1,2,5,6,7],[3,8],[4]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,4,6,7],[2,8],[5]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => [[1,2,3,5,6,7],[4],[8]] => 10
[[1,2,4,6,7],[3,8],[5]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => 4
[[1,2,3,6,7],[4,8],[5]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => 5
[[1,3,4,5,7],[2,8],[6]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => [[1,2,3,4,6,7],[5],[8]] => 11
[[1,2,4,5,7],[3,8],[6]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => 5
[[1,2,3,5,7],[4,8],[6]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => 6
[[1,2,3,4,7],[5,8],[6]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => 7
[[1,3,4,5,6],[2,8],[7]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => [[1,2,3,4,5,6,7],[8]] => 7
[[1,2,4,5,6],[3,8],[7]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,2,3,5,6],[4,8],[7]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => 2
[[1,2,3,4,6],[5,8],[7]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => 3
[[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => 4
[[1,3,5,6,7],[2,4],[8]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => [[1,2,4,5,6,7],[3,8]] => 9
[[1,2,5,6,7],[3,4],[8]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3,4,6,7],[2,5],[8]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => [[1,2,3,5,6,7],[4,8]] => 10
[[1,2,4,6,7],[3,5],[8]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => 4
[[1,2,3,6,7],[4,5],[8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => 3
[[1,3,4,5,7],[2,6],[8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => [[1,2,3,4,6,7],[5,8]] => 11
[[1,2,4,5,7],[3,6],[8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => 5
[[1,2,3,5,7],[4,6],[8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => 6
[[1,2,3,4,7],[5,6],[8]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => 4
[[1,3,4,5,6],[2,7],[8]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => [[1,2,3,4,5,7],[6,8]] => 12
[[1,2,4,5,6],[3,7],[8]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => 6
[[1,2,3,5,6],[4,7],[8]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => 7
[[1,2,3,4,6],[5,7],[8]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => 8
[[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => 5
[[1,5,6,7,8],[2],[3],[4]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => [[1,4,5,6,7],[2],[3],[8]] => 10
[[1,4,6,7,8],[2],[3],[5]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => [[1,3,5,6,7],[2],[4],[8]] => 11
[[1,3,6,7,8],[2],[4],[5]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => [[1,2,5,6,7],[3],[4],[8]] => 12
[[1,2,6,7,8],[3],[4],[5]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,5,7,8],[2],[3],[6]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => [[1,3,4,6,7],[2],[5],[8]] => 12
[[1,3,5,7,8],[2],[4],[6]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => [[1,2,4,6,7],[3],[5],[8]] => 13
[[1,2,5,7,8],[3],[4],[6]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => 7
[[1,3,4,7,8],[2],[5],[6]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => [[1,2,3,6,7],[4],[5],[8]] => 14
[[1,2,4,7,8],[3],[5],[6]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => 8
[[1,2,3,7,8],[4],[5],[6]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => 9
[[1,4,5,6,8],[2],[3],[7]] => [[1,2,5,6,7],[3],[4],[8]] => [[1,4,5,6,8],[2],[3],[7]] => [[1,3,4,5,7],[2],[6],[8]] => 13
[[1,3,5,6,8],[2],[4],[7]] => [[1,2,4,6,7],[3],[5],[8]] => [[1,3,5,6,8],[2],[4],[7]] => [[1,2,4,5,7],[3],[6],[8]] => 14
[[1,2,5,6,8],[3],[4],[7]] => [[1,2,3,6,7],[4],[5],[8]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => 8
[[1,3,4,6,8],[2],[5],[7]] => [[1,2,4,5,7],[3],[6],[8]] => [[1,3,4,6,8],[2],[5],[7]] => [[1,2,3,5,7],[4],[6],[8]] => 15
[[1,2,4,6,8],[3],[5],[7]] => [[1,2,3,5,7],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => 9
[[1,2,3,6,8],[4],[5],[7]] => [[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => 10
[[1,3,4,5,8],[2],[6],[7]] => [[1,2,4,5,6],[3],[7],[8]] => [[1,3,4,5,8],[2],[6],[7]] => [[1,2,3,4,7],[5],[6],[8]] => 16
[[1,2,4,5,8],[3],[6],[7]] => [[1,2,3,5,6],[4],[7],[8]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => 10
[[1,2,3,5,8],[4],[6],[7]] => [[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => 11
[[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => 12
[[1,4,5,6,7],[2],[3],[8]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => [[1,3,4,5,6,7],[2],[8]] => 8
[[1,3,5,6,7],[2],[4],[8]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => [[1,2,4,5,6,7],[3],[8]] => 9
[[1,2,5,6,7],[3],[4],[8]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,4,6,7],[2],[5],[8]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => [[1,2,3,5,6,7],[4],[8]] => 10
[[1,2,4,6,7],[3],[5],[8]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => 4
[[1,2,3,6,7],[4],[5],[8]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => 5
[[1,3,4,5,7],[2],[6],[8]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => [[1,2,3,4,6,7],[5],[8]] => 11
[[1,2,4,5,7],[3],[6],[8]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => 5
[[1,2,3,5,7],[4],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => 6
[[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => 7
[[1,3,4,5,6],[2],[7],[8]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => [[1,2,3,4,5,7],[6],[8]] => 12
[[1,2,4,5,6],[3],[7],[8]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => 6
[[1,2,3,5,6],[4],[7],[8]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => 7
[[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => 8
[[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => 9
[[1,3,5,7],[2,4,6,8]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => [[1,2,4,6,7],[3,5,8]] => 13
[[1,2,5,7],[3,4,6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => 6
[[1,3,4,7],[2,5,6,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => [[1,2,3,4,6,7],[5,8]] => 11
[[1,2,4,7],[3,5,6,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => 5
[[1,2,3,7],[4,5,6,8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => 4
[[1,3,5,6],[2,4,7,8]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => [[1,2,4,5,6,7],[3,8]] => 9
[[1,2,5,6],[3,4,7,8]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3,4,6],[2,5,7,8]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => [[1,2,3,5,6,7],[4,8]] => 10
[[1,2,4,6],[3,5,7,8]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => 4
[[1,2,3,6],[4,5,7,8]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => 3
[[1,3,4,5],[2,6,7,8]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => [[1,2,3,4,5,6,7],[8]] => 7
[[1,2,4,5],[3,6,7,8]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,2,3,5],[4,6,7,8]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => 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]] => 0
[[1,4,6,8],[2,5,7],[3]] => [[1,2,5,7],[3,6,8],[4]] => [[1,4,6,8],[2,5,7],[3]] => [[1,3,5,7],[2,4,6],[8]] => 16
[[1,3,6,8],[2,5,7],[4]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => [[1,2,3,5,7],[4,6],[8]] => 15
[[1,2,6,8],[3,5,7],[4]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => 9
[[1,3,6,8],[2,4,7],[5]] => [[1,2,4,7],[3,5,8],[6]] => [[1,3,6,8],[2,4,7],[5]] => [[1,2,5,7],[3,6,8],[4]] => 17
[[1,2,6,8],[3,4,7],[5]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => 10
[[1,4,5,8],[2,6,7],[3]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => [[1,3,4,5,7],[2,6],[8]] => 13
[[1,3,5,8],[2,6,7],[4]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => [[1,2,4,5,7],[3,6],[8]] => 14
[[1,2,5,8],[3,6,7],[4]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => 8
[[1,3,4,8],[2,6,7],[5]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => [[1,2,3,4,5,7],[6],[8]] => 12
[[1,2,4,8],[3,6,7],[5]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => 6
[[1,2,3,8],[4,6,7],[5]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => 7
[[1,3,5,8],[2,4,7],[6]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => [[1,2,4,5,7],[3,8],[6]] => 14
[[1,2,5,8],[3,4,7],[6]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => [[1,2,5,7,8],[3,4],[6]] => 7
[[1,3,4,8],[2,5,7],[6]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => [[1,2,3,5,7],[4,8],[6]] => 15
[[1,2,4,8],[3,5,7],[6]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => 9
[[1,2,3,8],[4,5,7],[6]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => 8
[[1,3,5,8],[2,4,6],[7]] => [[1,2,4,6],[3,5,7],[8]] => [[1,3,5,8],[2,4,6],[7]] => [[1,2,4,7],[3,5,8],[6]] => 18
[[1,2,5,8],[3,4,6],[7]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => 11
[[1,3,4,8],[2,5,6],[7]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => [[1,2,3,4,7],[5,8],[6]] => 16
[[1,2,4,8],[3,5,6],[7]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => 10
[[1,2,3,8],[4,5,6],[7]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => 9
[[1,4,6,7],[2,5,8],[3]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => [[1,3,5,6,7],[2,4],[8]] => 11
[[1,3,6,7],[2,5,8],[4]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => [[1,2,3,6,7],[4,5],[8]] => 10
[[1,2,6,7],[3,5,8],[4]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6,7],[2,4,8],[5]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => [[1,2,5,6,7],[3,8],[4]] => 12
[[1,2,6,7],[3,4,8],[5]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => [[1,2,6,7,8],[3,5],[4]] => 5
[[1,4,5,7],[2,6,8],[3]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => [[1,3,4,6,7],[2,5],[8]] => 12
[[1,3,5,7],[2,6,8],[4]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => [[1,2,4,6,7],[3,5],[8]] => 13
[[1,2,5,7],[3,6,8],[4]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => 7
[[1,3,4,7],[2,6,8],[5]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => [[1,2,3,4,6,7],[5],[8]] => 11
[[1,2,4,7],[3,6,8],[5]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => 5
[[1,2,3,7],[4,6,8],[5]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => 6
[[1,3,5,7],[2,4,8],[6]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => [[1,2,4,6,7],[3,8],[5]] => 13
[[1,2,5,7],[3,4,8],[6]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => [[1,2,6,7,8],[3,4],[5]] => 6
[[1,3,4,7],[2,5,8],[6]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => [[1,2,3,6,7],[4,8],[5]] => 14
[[1,2,4,7],[3,5,8],[6]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => 8
[[1,2,3,7],[4,5,8],[6]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => 7
[[1,4,5,6],[2,7,8],[3]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => [[1,3,4,5,6,7],[2],[8]] => 8
[[1,3,5,6],[2,7,8],[4]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => [[1,2,4,5,6,7],[3],[8]] => 9
[[1,2,5,6],[3,7,8],[4]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,4,6],[2,7,8],[5]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => [[1,2,3,5,6,7],[4],[8]] => 10
[[1,2,4,6],[3,7,8],[5]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => 4
[[1,2,3,6],[4,7,8],[5]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => 5
[[1,3,4,5],[2,7,8],[6]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => [[1,2,3,4,5,6,7],[8]] => 7
[[1,2,4,5],[3,7,8],[6]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => 1
[[1,2,3,5],[4,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => 2
[[1,2,3,4],[5,7,8],[6]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => 3
[[1,3,5,6],[2,4,8],[7]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => [[1,2,4,5,6,7],[3,8]] => 9
[[1,2,5,6],[3,4,8],[7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3,4,6],[2,5,8],[7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => [[1,2,3,5,6,7],[4,8]] => 10
[[1,2,4,6],[3,5,8],[7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => 4
[[1,2,3,6],[4,5,8],[7]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => 3
[[1,3,4,5],[2,6,8],[7]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => [[1,2,3,4,6,7],[5,8]] => 11
[[1,2,4,5],[3,6,8],[7]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => 5
[[1,2,3,5],[4,6,8],[7]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => 6
[[1,2,3,4],[5,6,8],[7]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => 4
[[1,3,5,7],[2,4,6],[8]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => [[1,2,4,6,7],[3,5,8]] => 13
[[1,2,5,7],[3,4,6],[8]] => [[1,2,3,4,6],[5,7,8]] => [[1,2,3,5,8],[4,6,7]] => [[1,2,4,7,8],[3,5,6]] => 6
[[1,3,4,7],[2,5,6],[8]] => [[1,2,4,5,6],[3,7,8]] => [[1,3,4,5,8],[2,6,7]] => [[1,2,3,4,7],[5,6,8]] => 11
[[1,2,4,7],[3,5,6],[8]] => [[1,2,3,5,6],[4,7,8]] => [[1,2,4,5,8],[3,6,7]] => [[1,3,4,7,8],[2,5,6]] => 5
[[1,2,3,7],[4,5,6],[8]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => 4
[[1,3,5,6],[2,4,7],[8]] => [[1,2,4,6,7],[3,5,8]] => [[1,3,5,6,8],[2,4,7]] => [[1,2,4,5,7],[3,6,8]] => 14
[[1,2,5,6],[3,4,7],[8]] => [[1,2,3,4,7],[5,6,8]] => [[1,2,3,6,8],[4,5,7]] => [[1,2,5,7,8],[3,4,6]] => 7
[[1,3,4,6],[2,5,7],[8]] => [[1,2,4,5,7],[3,6,8]] => [[1,3,4,6,8],[2,5,7]] => [[1,2,3,5,7],[4,6,8]] => 15
[[1,2,4,6],[3,5,7],[8]] => [[1,2,3,5,7],[4,6,8]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => 9
[[1,2,3,6],[4,5,7],[8]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => 8
[[1,3,4,5],[2,6,7],[8]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => [[1,2,3,4,5,7],[6,8]] => 12
[[1,2,4,5],[3,6,7],[8]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => 6
[[1,2,3,5],[4,6,7],[8]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => 7
[[1,2,3,4],[5,6,7],[8]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => 5
[[1,4,7,8],[2,5],[3,6]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => [[1,3,6,7],[2,4],[5,8]] => 15
[[1,3,7,8],[2,5],[4,6]] => [[1,2,4,5],[3,6],[7,8]] => [[1,3,4,8],[2,5],[6,7]] => [[1,2,3,7],[4,6],[5,8]] => 14
[[1,2,7,8],[3,5],[4,6]] => [[1,2,3,5],[4,6],[7,8]] => [[1,2,4,8],[3,5],[6,7]] => [[1,3,7,8],[2,4],[5,6]] => 8
[[1,3,7,8],[2,4],[5,6]] => [[1,2,4,6],[3,5],[7,8]] => [[1,3,5,8],[2,4],[6,7]] => [[1,2,4,7],[3,6],[5,8]] => 13
[[1,2,7,8],[3,4],[5,6]] => [[1,2,3,4],[5,6],[7,8]] => [[1,2,3,8],[4,5],[6,7]] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,6,8],[2,5],[3,7]] => [[1,2,5,7],[3,6],[4,8]] => [[1,4,6,8],[2,5],[3,7]] => [[1,3,5,7],[2,4],[6,8]] => 16
[[1,3,6,8],[2,5],[4,7]] => [[1,2,4,5],[3,7],[6,8]] => [[1,3,4,8],[2,6],[5,7]] => [[1,2,3,7],[4,5],[6,8]] => 15
[[1,2,6,8],[3,5],[4,7]] => [[1,2,3,5],[4,7],[6,8]] => [[1,2,4,8],[3,6],[5,7]] => [[1,3,7,8],[2,5],[4,6]] => 9
[[1,3,6,8],[2,4],[5,7]] => [[1,2,4,7],[3,5],[6,8]] => [[1,3,6,8],[2,4],[5,7]] => [[1,2,5,7],[3,6],[4,8]] => 17
[[1,2,6,8],[3,4],[5,7]] => [[1,2,3,4],[5,7],[6,8]] => [[1,2,3,8],[4,6],[5,7]] => [[1,2,7,8],[3,5],[4,6]] => 10
[[1,4,5,8],[2,6],[3,7]] => [[1,2,5,6],[3,7],[4,8]] => [[1,4,5,8],[2,6],[3,7]] => [[1,3,4,7],[2,5],[6,8]] => 17
[[1,3,5,8],[2,6],[4,7]] => [[1,2,4,6],[3,7],[5,8]] => [[1,3,5,8],[2,6],[4,7]] => [[1,2,4,7],[3,5],[6,8]] => 18
[[1,2,5,8],[3,6],[4,7]] => [[1,2,3,6],[4,7],[5,8]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => 12
[[1,3,4,8],[2,6],[5,7]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => [[1,2,3,4,7],[5,8],[6]] => 16
[[1,2,4,8],[3,6],[5,7]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => 10
[[1,2,3,8],[4,6],[5,7]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => 11
[[1,3,5,8],[2,4],[6,7]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => [[1,2,4,5,7],[3,8],[6]] => 14
[[1,2,5,8],[3,4],[6,7]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => [[1,2,5,7,8],[3,4],[6]] => 7
[[1,3,4,8],[2,5],[6,7]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => [[1,2,3,5,7],[4,8],[6]] => 15
[[1,2,4,8],[3,5],[6,7]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => 9
[[1,2,3,8],[4,5],[6,7]] => [[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => 8
[[1,4,6,7],[2,5],[3,8]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => [[1,3,5,6,7],[2,4],[8]] => 11
[[1,3,6,7],[2,5],[4,8]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => [[1,2,3,6,7],[4,5],[8]] => 10
[[1,2,6,7],[3,5],[4,8]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6,7],[2,4],[5,8]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => [[1,2,5,6,7],[3,8],[4]] => 12
[[1,2,6,7],[3,4],[5,8]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => [[1,2,6,7,8],[3,5],[4]] => 5
[[1,4,5,7],[2,6],[3,8]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => [[1,3,4,6,7],[2,5],[8]] => 12
[[1,3,5,7],[2,6],[4,8]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => [[1,2,4,6,7],[3,5],[8]] => 13
[[1,2,5,7],[3,6],[4,8]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => 7
[[1,3,4,7],[2,6],[5,8]] => [[1,2,4,5,6],[3,8],[7]] => [[1,3,4,5,8],[2,7],[6]] => [[1,2,3,4,7],[5,6],[8]] => 11
[[1,2,4,7],[3,6],[5,8]] => [[1,2,3,5,6],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => 5
[[1,2,3,7],[4,6],[5,8]] => [[1,2,3,4,6],[5,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => 6
[[1,3,5,7],[2,4],[6,8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => [[1,2,4,6,7],[3,8],[5]] => 13
[[1,2,5,7],[3,4],[6,8]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => [[1,2,6,7,8],[3,4],[5]] => 6
[[1,3,4,7],[2,5],[6,8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => [[1,2,3,6,7],[4,8],[5]] => 14
[[1,2,4,7],[3,5],[6,8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => 8
[[1,2,3,7],[4,5],[6,8]] => [[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => 7
[[1,4,5,6],[2,7],[3,8]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => [[1,3,4,5,7],[2,6],[8]] => 13
[[1,3,5,6],[2,7],[4,8]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => [[1,2,4,5,7],[3,6],[8]] => 14
[[1,2,5,6],[3,7],[4,8]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => 8
[[1,3,4,6],[2,7],[5,8]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => [[1,2,3,5,7],[4,6],[8]] => 15
[[1,2,4,6],[3,7],[5,8]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => 9
[[1,2,3,6],[4,7],[5,8]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => 10
[[1,3,4,5],[2,7],[6,8]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => [[1,2,3,4,5,7],[6,8]] => 12
[[1,2,4,5],[3,7],[6,8]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => 6
[[1,2,3,5],[4,7],[6,8]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => 7
[[1,2,3,4],[5,7],[6,8]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => 8
[[1,3,5,6],[2,4],[7,8]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => [[1,2,4,5,6,7],[3,8]] => 9
[[1,2,5,6],[3,4],[7,8]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3,4,6],[2,5],[7,8]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => [[1,2,3,5,6,7],[4,8]] => 10
[[1,2,4,6],[3,5],[7,8]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => 4
[[1,2,3,6],[4,5],[7,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => 3
[[1,3,4,5],[2,6],[7,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => [[1,2,3,4,6,7],[5,8]] => 11
[[1,2,4,5],[3,6],[7,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => 5
[[1,2,3,5],[4,6],[7,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => 6
[[1,2,3,4],[5,6],[7,8]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => 4
[[1,5,7,8],[2,6],[3],[4]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => [[1,4,6,7],[2,5],[3],[8]] => 14
[[1,4,7,8],[2,6],[3],[5]] => [[1,2,5,6],[3,8],[4],[7]] => [[1,4,5,8],[2,7],[3],[6]] => [[1,3,4,7],[2,6],[5],[8]] => 12
[[1,3,7,8],[2,6],[4],[5]] => [[1,2,4,6],[3,8],[5],[7]] => [[1,3,5,8],[2,7],[4],[6]] => [[1,2,4,7],[3,6],[5],[8]] => 13
[[1,2,7,8],[3,6],[4],[5]] => [[1,2,3,6],[4,8],[5],[7]] => [[1,2,5,8],[3,7],[4],[6]] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,7,8],[2,5],[3],[6]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => [[1,3,6,7],[2,4],[5],[8]] => 15
[[1,3,7,8],[2,5],[4],[6]] => [[1,2,4,5],[3,8],[6],[7]] => [[1,3,4,8],[2,7],[5],[6]] => [[1,2,3,7],[4,6],[5],[8]] => 14
[[1,2,7,8],[3,5],[4],[6]] => [[1,2,3,5],[4,8],[6],[7]] => [[1,2,4,8],[3,7],[5],[6]] => [[1,3,7,8],[2,6],[4],[5]] => 8
[[1,3,7,8],[2,4],[5],[6]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => [[1,2,6,7],[3,8],[4],[5]] => 16
[[1,2,7,8],[3,4],[5],[6]] => [[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,8],[4,7],[5],[6]] => [[1,2,7,8],[3,6],[4],[5]] => 9
[[1,5,6,8],[2,7],[3],[4]] => [[1,2,6,7],[3,8],[4],[5]] => [[1,5,6,8],[2,7],[3],[4]] => [[1,4,5,7],[2,6],[3],[8]] => 15
[[1,4,6,8],[2,7],[3],[5]] => [[1,2,5,7],[3,8],[4],[6]] => [[1,4,6,8],[2,7],[3],[5]] => [[1,3,5,7],[2,6],[4],[8]] => 16
[[1,3,6,8],[2,7],[4],[5]] => [[1,2,4,7],[3,8],[5],[6]] => [[1,3,6,8],[2,7],[4],[5]] => [[1,2,5,7],[3,6],[4],[8]] => 17
[[1,2,6,8],[3,7],[4],[5]] => [[1,2,3,7],[4,8],[5],[6]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => 11
[[1,4,5,8],[2,7],[3],[6]] => [[1,2,5,6,7],[3],[4],[8]] => [[1,4,5,6,8],[2],[3],[7]] => [[1,3,4,5,7],[2],[6],[8]] => 13
[[1,3,5,8],[2,7],[4],[6]] => [[1,2,4,6,7],[3],[5],[8]] => [[1,3,5,6,8],[2],[4],[7]] => [[1,2,4,5,7],[3],[6],[8]] => 14
[[1,2,5,8],[3,7],[4],[6]] => [[1,2,3,6,7],[4],[5],[8]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => 8
[[1,3,4,8],[2,7],[5],[6]] => [[1,2,4,5,7],[3],[6],[8]] => [[1,3,4,6,8],[2],[5],[7]] => [[1,2,3,5,7],[4],[6],[8]] => 15
[[1,2,4,8],[3,7],[5],[6]] => [[1,2,3,5,7],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => 9
[[1,2,3,8],[4,7],[5],[6]] => [[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => 10
[[1,4,6,8],[2,5],[3],[7]] => [[1,2,5,7],[3,6],[4],[8]] => [[1,4,6,8],[2,5],[3],[7]] => [[1,3,5,7],[2,4],[6],[8]] => 16
[[1,3,6,8],[2,5],[4],[7]] => [[1,2,4,5],[3,7],[6],[8]] => [[1,3,4,8],[2,6],[5],[7]] => [[1,2,3,7],[4,5],[6],[8]] => 15
[[1,2,6,8],[3,5],[4],[7]] => [[1,2,3,5],[4,7],[6],[8]] => [[1,2,4,8],[3,6],[5],[7]] => [[1,3,7,8],[2,5],[4],[6]] => 9
[[1,3,6,8],[2,4],[5],[7]] => [[1,2,4,7],[3,5],[6],[8]] => [[1,3,6,8],[2,4],[5],[7]] => [[1,2,5,7],[3,8],[4],[6]] => 17
[[1,2,6,8],[3,4],[5],[7]] => [[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,8],[4,6],[5],[7]] => [[1,2,7,8],[3,5],[4],[6]] => 10
[[1,4,5,8],[2,6],[3],[7]] => [[1,2,5,6],[3,7],[4],[8]] => [[1,4,5,8],[2,6],[3],[7]] => [[1,3,4,7],[2,5],[6],[8]] => 17
[[1,3,5,8],[2,6],[4],[7]] => [[1,2,4,6],[3,7],[5],[8]] => [[1,3,5,8],[2,6],[4],[7]] => [[1,2,4,7],[3,5],[6],[8]] => 18
[[1,2,5,8],[3,6],[4],[7]] => [[1,2,3,6],[4,7],[5],[8]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => 12
[[1,3,4,8],[2,6],[5],[7]] => [[1,2,4,5,6],[3],[7],[8]] => [[1,3,4,5,8],[2],[6],[7]] => [[1,2,3,4,7],[5],[6],[8]] => 16
[[1,2,4,8],[3,6],[5],[7]] => [[1,2,3,5,6],[4],[7],[8]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => 10
[[1,2,3,8],[4,6],[5],[7]] => [[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => 11
[[1,3,5,8],[2,4],[6],[7]] => [[1,2,4,6],[3,5],[7],[8]] => [[1,3,5,8],[2,4],[6],[7]] => [[1,2,4,7],[3,8],[5],[6]] => 18
[[1,2,5,8],[3,4],[6],[7]] => [[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,8],[4,5],[6],[7]] => [[1,2,7,8],[3,4],[5],[6]] => 11
[[1,3,4,8],[2,5],[6],[7]] => [[1,2,4,5],[3,6],[7],[8]] => [[1,3,4,8],[2,5],[6],[7]] => [[1,2,3,7],[4,8],[5],[6]] => 19
[[1,2,4,8],[3,5],[6],[7]] => [[1,2,3,5],[4,6],[7],[8]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => 13
[[1,2,3,8],[4,5],[6],[7]] => [[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => 12
[[1,5,6,7],[2,8],[3],[4]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => [[1,4,5,6,7],[2],[3],[8]] => 10
[[1,4,6,7],[2,8],[3],[5]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => [[1,3,5,6,7],[2],[4],[8]] => 11
[[1,3,6,7],[2,8],[4],[5]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => [[1,2,5,6,7],[3],[4],[8]] => 12
[[1,2,6,7],[3,8],[4],[5]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,5,7],[2,8],[3],[6]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => [[1,3,4,6,7],[2],[5],[8]] => 12
[[1,3,5,7],[2,8],[4],[6]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => [[1,2,4,6,7],[3],[5],[8]] => 13
[[1,2,5,7],[3,8],[4],[6]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => 7
[[1,3,4,7],[2,8],[5],[6]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => [[1,2,3,6,7],[4],[5],[8]] => 14
[[1,2,4,7],[3,8],[5],[6]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => 8
[[1,2,3,7],[4,8],[5],[6]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => 9
[[1,4,5,6],[2,8],[3],[7]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => [[1,3,4,5,6,7],[2],[8]] => 8
[[1,3,5,6],[2,8],[4],[7]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => [[1,2,4,5,6,7],[3],[8]] => 9
[[1,2,5,6],[3,8],[4],[7]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,4,6],[2,8],[5],[7]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => [[1,2,3,5,6,7],[4],[8]] => 10
[[1,2,4,6],[3,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => 4
[[1,2,3,6],[4,8],[5],[7]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => 5
[[1,3,4,5],[2,8],[6],[7]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => [[1,2,3,4,6,7],[5],[8]] => 11
[[1,2,4,5],[3,8],[6],[7]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => 5
[[1,2,3,5],[4,8],[6],[7]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => 6
[[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => 7
[[1,4,6,7],[2,5],[3],[8]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => [[1,3,5,6,7],[2,4],[8]] => 11
[[1,3,6,7],[2,5],[4],[8]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => [[1,2,3,6,7],[4,5],[8]] => 10
[[1,2,6,7],[3,5],[4],[8]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6,7],[2,4],[5],[8]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => [[1,2,5,6,7],[3,8],[4]] => 12
[[1,2,6,7],[3,4],[5],[8]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => [[1,2,6,7,8],[3,5],[4]] => 5
[[1,4,5,7],[2,6],[3],[8]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => [[1,3,4,6,7],[2,5],[8]] => 12
[[1,3,5,7],[2,6],[4],[8]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => [[1,2,4,6,7],[3,5],[8]] => 13
[[1,2,5,7],[3,6],[4],[8]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => 7
[[1,3,4,7],[2,6],[5],[8]] => [[1,2,4,5,6],[3,8],[7]] => [[1,3,4,5,8],[2,7],[6]] => [[1,2,3,4,7],[5,6],[8]] => 11
[[1,2,4,7],[3,6],[5],[8]] => [[1,2,3,5,6],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => 5
[[1,2,3,7],[4,6],[5],[8]] => [[1,2,3,4,6],[5,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => 6
[[1,3,5,7],[2,4],[6],[8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => [[1,2,4,6,7],[3,8],[5]] => 13
[[1,2,5,7],[3,4],[6],[8]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => [[1,2,6,7,8],[3,4],[5]] => 6
[[1,3,4,7],[2,5],[6],[8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => [[1,2,3,6,7],[4,8],[5]] => 14
[[1,2,4,7],[3,5],[6],[8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => 8
[[1,2,3,7],[4,5],[6],[8]] => [[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => 7
[[1,4,5,6],[2,7],[3],[8]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => [[1,3,4,5,7],[2,6],[8]] => 13
[[1,3,5,6],[2,7],[4],[8]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => [[1,2,4,5,7],[3,6],[8]] => 14
[[1,2,5,6],[3,7],[4],[8]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => 8
[[1,3,4,6],[2,7],[5],[8]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => [[1,2,3,5,7],[4,6],[8]] => 15
[[1,2,4,6],[3,7],[5],[8]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => 9
[[1,2,3,6],[4,7],[5],[8]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => 10
[[1,3,4,5],[2,7],[6],[8]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => [[1,2,3,4,5,7],[6],[8]] => 12
[[1,2,4,5],[3,7],[6],[8]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => 6
[[1,2,3,5],[4,7],[6],[8]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => 7
[[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => 8
[[1,3,5,6],[2,4],[7],[8]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => [[1,2,4,5,7],[3,8],[6]] => 14
[[1,2,5,6],[3,4],[7],[8]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => [[1,2,5,7,8],[3,4],[6]] => 7
[[1,3,4,6],[2,5],[7],[8]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => [[1,2,3,5,7],[4,8],[6]] => 15
[[1,2,4,6],[3,5],[7],[8]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => 9
[[1,2,3,6],[4,5],[7],[8]] => [[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => 8
[[1,3,4,5],[2,6],[7],[8]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => [[1,2,3,4,7],[5,8],[6]] => 16
[[1,2,4,5],[3,6],[7],[8]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => 10
[[1,2,3,5],[4,6],[7],[8]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => 11
[[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => 9
[[1,6,7,8],[2],[3],[4],[5]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4],[8]] => 13
[[1,5,7,8],[2],[3],[4],[6]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5],[8]] => 14
[[1,4,7,8],[2],[3],[5],[6]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5],[8]] => 15
[[1,3,7,8],[2],[4],[5],[6]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5],[8]] => 16
[[1,2,7,8],[3],[4],[5],[6]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,5,6,8],[2],[3],[4],[7]] => [[1,2,6,7],[3],[4],[5],[8]] => [[1,5,6,8],[2],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6],[8]] => 15
[[1,4,6,8],[2],[3],[5],[7]] => [[1,2,5,7],[3],[4],[6],[8]] => [[1,4,6,8],[2],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6],[8]] => 16
[[1,3,6,8],[2],[4],[5],[7]] => [[1,2,4,7],[3],[5],[6],[8]] => [[1,3,6,8],[2],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6],[8]] => 17
[[1,2,6,8],[3],[4],[5],[7]] => [[1,2,3,7],[4],[5],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => 11
[[1,4,5,8],[2],[3],[6],[7]] => [[1,2,5,6],[3],[4],[7],[8]] => [[1,4,5,8],[2],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6],[8]] => 17
[[1,3,5,8],[2],[4],[6],[7]] => [[1,2,4,6],[3],[5],[7],[8]] => [[1,3,5,8],[2],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6],[8]] => 18
[[1,2,5,8],[3],[4],[6],[7]] => [[1,2,3,6],[4],[5],[7],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => 12
[[1,3,4,8],[2],[5],[6],[7]] => [[1,2,4,5],[3],[6],[7],[8]] => [[1,3,4,8],[2],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6],[8]] => 19
[[1,2,4,8],[3],[5],[6],[7]] => [[1,2,3,5],[4],[6],[7],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => 13
[[1,2,3,8],[4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => 14
[[1,5,6,7],[2],[3],[4],[8]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => [[1,4,5,6,7],[2],[3],[8]] => 10
[[1,4,6,7],[2],[3],[5],[8]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => [[1,3,5,6,7],[2],[4],[8]] => 11
[[1,3,6,7],[2],[4],[5],[8]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => [[1,2,5,6,7],[3],[4],[8]] => 12
[[1,2,6,7],[3],[4],[5],[8]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,5,7],[2],[3],[6],[8]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => [[1,3,4,6,7],[2],[5],[8]] => 12
[[1,3,5,7],[2],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => [[1,2,4,6,7],[3],[5],[8]] => 13
[[1,2,5,7],[3],[4],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => 7
[[1,3,4,7],[2],[5],[6],[8]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => [[1,2,3,6,7],[4],[5],[8]] => 14
[[1,2,4,7],[3],[5],[6],[8]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => 8
[[1,2,3,7],[4],[5],[6],[8]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => 9
[[1,4,5,6],[2],[3],[7],[8]] => [[1,2,5,6,7],[3],[4],[8]] => [[1,4,5,6,8],[2],[3],[7]] => [[1,3,4,5,7],[2],[6],[8]] => 13
[[1,3,5,6],[2],[4],[7],[8]] => [[1,2,4,6,7],[3],[5],[8]] => [[1,3,5,6,8],[2],[4],[7]] => [[1,2,4,5,7],[3],[6],[8]] => 14
[[1,2,5,6],[3],[4],[7],[8]] => [[1,2,3,6,7],[4],[5],[8]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => 8
[[1,3,4,6],[2],[5],[7],[8]] => [[1,2,4,5,7],[3],[6],[8]] => [[1,3,4,6,8],[2],[5],[7]] => [[1,2,3,5,7],[4],[6],[8]] => 15
[[1,2,4,6],[3],[5],[7],[8]] => [[1,2,3,5,7],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => 9
[[1,2,3,6],[4],[5],[7],[8]] => [[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => 10
[[1,3,4,5],[2],[6],[7],[8]] => [[1,2,4,5,6],[3],[7],[8]] => [[1,3,4,5,8],[2],[6],[7]] => [[1,2,3,4,7],[5],[6],[8]] => 16
[[1,2,4,5],[3],[6],[7],[8]] => [[1,2,3,5,6],[4],[7],[8]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => 10
[[1,2,3,5],[4],[6],[7],[8]] => [[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => 11
[[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => 12
[[1,4,7],[2,5,8],[3,6]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => [[1,3,6,7],[2,4],[5,8]] => 15
[[1,3,7],[2,5,8],[4,6]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => [[1,2,3,6,7],[4,8],[5]] => 14
[[1,2,7],[3,5,8],[4,6]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => 8
[[1,3,7],[2,4,8],[5,6]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => [[1,2,4,6,7],[3,8],[5]] => 13
[[1,2,7],[3,4,8],[5,6]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => [[1,2,6,7,8],[3,4],[5]] => 6
[[1,4,6],[2,5,8],[3,7]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => [[1,3,5,6,7],[2,4],[8]] => 11
[[1,3,6],[2,5,8],[4,7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => [[1,2,3,6,7],[4,5],[8]] => 10
[[1,2,6],[3,5,8],[4,7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6],[2,4,8],[5,7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => [[1,2,5,6,7],[3,8],[4]] => 12
[[1,2,6],[3,4,8],[5,7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => [[1,2,6,7,8],[3,5],[4]] => 5
[[1,4,5],[2,6,8],[3,7]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => [[1,3,4,6,7],[2,5],[8]] => 12
[[1,3,5],[2,6,8],[4,7]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => [[1,2,4,6,7],[3,5],[8]] => 13
[[1,2,5],[3,6,8],[4,7]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => 7
[[1,3,4],[2,6,8],[5,7]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => [[1,2,3,4,6,7],[5,8]] => 11
[[1,2,4],[3,6,8],[5,7]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => 5
[[1,2,3],[4,6,8],[5,7]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => 6
[[1,3,5],[2,4,8],[6,7]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => [[1,2,4,5,6,7],[3,8]] => 9
[[1,2,5],[3,4,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => [[1,2,5,6,7,8],[3,4]] => 2
[[1,3,4],[2,5,8],[6,7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => [[1,2,3,5,6,7],[4,8]] => 10
[[1,2,4],[3,5,8],[6,7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => 4
[[1,2,3],[4,5,8],[6,7]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => 3
[[1,4,6],[2,5,7],[3,8]] => [[1,2,5,7],[3,6,8],[4]] => [[1,4,6,8],[2,5,7],[3]] => [[1,3,5,7],[2,4,6],[8]] => 16
[[1,3,6],[2,5,7],[4,8]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => [[1,2,3,5,7],[4,6],[8]] => 15
[[1,2,6],[3,5,7],[4,8]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => 9
[[1,3,6],[2,4,7],[5,8]] => [[1,2,4,7],[3,5,8],[6]] => [[1,3,6,8],[2,4,7],[5]] => [[1,2,5,7],[3,6,8],[4]] => 17
[[1,2,6],[3,4,7],[5,8]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => 10
[[1,4,5],[2,6,7],[3,8]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => [[1,3,4,5,7],[2,6],[8]] => 13
[[1,3,5],[2,6,7],[4,8]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => [[1,2,4,5,7],[3,6],[8]] => 14
[[1,2,5],[3,6,7],[4,8]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => 8
[[1,3,4],[2,6,7],[5,8]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => [[1,2,3,4,5,7],[6,8]] => 12
[[1,2,4],[3,6,7],[5,8]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => 6
[[1,2,3],[4,6,7],[5,8]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => 7
[[1,3,5],[2,4,7],[6,8]] => [[1,2,4,6,7],[3,5,8]] => [[1,3,5,6,8],[2,4,7]] => [[1,2,4,5,7],[3,6,8]] => 14
[[1,2,5],[3,4,7],[6,8]] => [[1,2,3,4,7],[5,6,8]] => [[1,2,3,6,8],[4,5,7]] => [[1,2,5,7,8],[3,4,6]] => 7
[[1,3,4],[2,5,7],[6,8]] => [[1,2,4,5,7],[3,6,8]] => [[1,3,4,6,8],[2,5,7]] => [[1,2,3,5,7],[4,6,8]] => 15
[[1,2,4],[3,5,7],[6,8]] => [[1,2,3,5,7],[4,6,8]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => 9
[[1,2,3],[4,5,7],[6,8]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => 8
[[1,3,5],[2,4,6],[7,8]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => [[1,2,4,6,7],[3,5,8]] => 13
[[1,2,5],[3,4,6],[7,8]] => [[1,2,3,4,6],[5,7,8]] => [[1,2,3,5,8],[4,6,7]] => [[1,2,4,7,8],[3,5,6]] => 6
[[1,3,4],[2,5,6],[7,8]] => [[1,2,4,5,6],[3,7,8]] => [[1,3,4,5,8],[2,6,7]] => [[1,2,3,4,7],[5,6,8]] => 11
[[1,2,4],[3,5,6],[7,8]] => [[1,2,3,5,6],[4,7,8]] => [[1,2,4,5,8],[3,6,7]] => [[1,3,4,7,8],[2,5,6]] => 5
[[1,2,3],[4,5,6],[7,8]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => 4
[[1,5,7],[2,6,8],[3],[4]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => [[1,4,6,7],[2,5],[3],[8]] => 14
[[1,4,7],[2,6,8],[3],[5]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => [[1,3,4,6,7],[2],[5],[8]] => 12
[[1,3,7],[2,6,8],[4],[5]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => [[1,2,4,6,7],[3],[5],[8]] => 13
[[1,2,7],[3,6,8],[4],[5]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => 7
[[1,4,7],[2,5,8],[3],[6]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => [[1,3,6,7],[2,4],[5],[8]] => 15
[[1,3,7],[2,5,8],[4],[6]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => [[1,2,3,6,7],[4],[5],[8]] => 14
[[1,2,7],[3,5,8],[4],[6]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => 8
[[1,3,7],[2,4,8],[5],[6]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => [[1,2,6,7],[3,8],[4],[5]] => 16
[[1,2,7],[3,4,8],[5],[6]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => 9
[[1,5,6],[2,7,8],[3],[4]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => [[1,4,5,6,7],[2],[3],[8]] => 10
[[1,4,6],[2,7,8],[3],[5]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => [[1,3,5,6,7],[2],[4],[8]] => 11
[[1,3,6],[2,7,8],[4],[5]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => [[1,2,5,6,7],[3],[4],[8]] => 12
[[1,2,6],[3,7,8],[4],[5]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,5],[2,7,8],[3],[6]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => [[1,3,4,5,6,7],[2],[8]] => 8
[[1,3,5],[2,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => [[1,2,4,5,6,7],[3],[8]] => 9
[[1,2,5],[3,7,8],[4],[6]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => 3
[[1,3,4],[2,7,8],[5],[6]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => [[1,2,3,5,6,7],[4],[8]] => 10
[[1,2,4],[3,7,8],[5],[6]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => 4
[[1,2,3],[4,7,8],[5],[6]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => 5
[[1,4,6],[2,5,8],[3],[7]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => [[1,3,5,6,7],[2,4],[8]] => 11
[[1,3,6],[2,5,8],[4],[7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => [[1,2,3,6,7],[4,5],[8]] => 10
[[1,2,6],[3,5,8],[4],[7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6],[2,4,8],[5],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => [[1,2,5,6,7],[3,8],[4]] => 12
[[1,2,6],[3,4,8],[5],[7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => [[1,2,6,7,8],[3,5],[4]] => 5
[[1,4,5],[2,6,8],[3],[7]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => [[1,3,4,6,7],[2,5],[8]] => 12
[[1,3,5],[2,6,8],[4],[7]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => [[1,2,4,6,7],[3,5],[8]] => 13
[[1,2,5],[3,6,8],[4],[7]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => 7
[[1,3,4],[2,6,8],[5],[7]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => [[1,2,3,4,6,7],[5],[8]] => 11
[[1,2,4],[3,6,8],[5],[7]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => 5
[[1,2,3],[4,6,8],[5],[7]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => 6
[[1,3,5],[2,4,8],[6],[7]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => [[1,2,4,6,7],[3,8],[5]] => 13
[[1,2,5],[3,4,8],[6],[7]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => [[1,2,6,7,8],[3,4],[5]] => 6
[[1,3,4],[2,5,8],[6],[7]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => [[1,2,3,6,7],[4,8],[5]] => 14
[[1,2,4],[3,5,8],[6],[7]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => 8
[[1,2,3],[4,5,8],[6],[7]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => 7
[[1,4,6],[2,5,7],[3],[8]] => [[1,2,5,7],[3,6,8],[4]] => [[1,4,6,8],[2,5,7],[3]] => [[1,3,5,7],[2,4,6],[8]] => 16
[[1,3,6],[2,5,7],[4],[8]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => [[1,2,3,5,7],[4,6],[8]] => 15
[[1,2,6],[3,5,7],[4],[8]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => 9
[[1,3,6],[2,4,7],[5],[8]] => [[1,2,4,7],[3,5,8],[6]] => [[1,3,6,8],[2,4,7],[5]] => [[1,2,5,7],[3,6,8],[4]] => 17
[[1,2,6],[3,4,7],[5],[8]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => 10
[[1,4,5],[2,6,7],[3],[8]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => [[1,3,4,5,7],[2,6],[8]] => 13
[[1,3,5],[2,6,7],[4],[8]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => [[1,2,4,5,7],[3,6],[8]] => 14
[[1,2,5],[3,6,7],[4],[8]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => 8
[[1,3,4],[2,6,7],[5],[8]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => [[1,2,3,4,5,7],[6],[8]] => 12
[[1,2,4],[3,6,7],[5],[8]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => 6
[[1,2,3],[4,6,7],[5],[8]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => 7
[[1,3,5],[2,4,7],[6],[8]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => [[1,2,4,5,7],[3,8],[6]] => 14
[[1,2,5],[3,4,7],[6],[8]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => [[1,2,5,7,8],[3,4],[6]] => 7
[[1,3,4],[2,5,7],[6],[8]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => [[1,2,3,5,7],[4,8],[6]] => 15
[[1,2,4],[3,5,7],[6],[8]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => 9
[[1,2,3],[4,5,7],[6],[8]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => 8
[[1,3,5],[2,4,6],[7],[8]] => [[1,2,4,6],[3,5,7],[8]] => [[1,3,5,8],[2,4,6],[7]] => [[1,2,4,7],[3,5,8],[6]] => 18
[[1,2,5],[3,4,6],[7],[8]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => 11
[[1,3,4],[2,5,6],[7],[8]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => [[1,2,3,4,7],[5,8],[6]] => 16
[[1,2,4],[3,5,6],[7],[8]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => 10
[[1,2,3],[4,5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => 9
[[1,5,8],[2,6],[3,7],[4]] => [[1,2,6],[3,7],[4,8],[5]] => [[1,5,8],[2,6],[3,7],[4]] => [[1,4,7],[2,5],[3,6],[8]] => 19
[[1,4,8],[2,6],[3,7],[5]] => [[1,2,5,6],[3,7],[4],[8]] => [[1,4,5,8],[2,6],[3],[7]] => [[1,3,4,7],[2,5],[6],[8]] => 17
[[1,3,8],[2,6],[4,7],[5]] => [[1,2,4,6],[3,7],[5],[8]] => [[1,3,5,8],[2,6],[4],[7]] => [[1,2,4,7],[3,5],[6],[8]] => 18
[[1,2,8],[3,6],[4,7],[5]] => [[1,2,3,6],[4,7],[5],[8]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => 12
[[1,4,8],[2,5],[3,7],[6]] => [[1,2,5,7],[3,6],[4],[8]] => [[1,4,6,8],[2,5],[3],[7]] => [[1,3,5,7],[2,4],[6],[8]] => 16
[[1,3,8],[2,5],[4,7],[6]] => [[1,2,4,5],[3,7],[6],[8]] => [[1,3,4,8],[2,6],[5],[7]] => [[1,2,3,7],[4,5],[6],[8]] => 15
[[1,2,8],[3,5],[4,7],[6]] => [[1,2,3,5],[4,7],[6],[8]] => [[1,2,4,8],[3,6],[5],[7]] => [[1,3,7,8],[2,5],[4],[6]] => 9
[[1,3,8],[2,4],[5,7],[6]] => [[1,2,4,7],[3,5],[6],[8]] => [[1,3,6,8],[2,4],[5],[7]] => [[1,2,5,7],[3,8],[4],[6]] => 17
[[1,2,8],[3,4],[5,7],[6]] => [[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,8],[4,6],[5],[7]] => [[1,2,7,8],[3,5],[4],[6]] => 10
[[1,4,8],[2,5],[3,6],[7]] => [[1,2,5],[3,6],[4,7],[8]] => [[1,4,8],[2,5],[3,6],[7]] => [[1,3,7],[2,4],[5,8],[6]] => 20
[[1,3,8],[2,5],[4,6],[7]] => [[1,2,4,5],[3,6],[7],[8]] => [[1,3,4,8],[2,5],[6],[7]] => [[1,2,3,7],[4,8],[5],[6]] => 19
[[1,2,8],[3,5],[4,6],[7]] => [[1,2,3,5],[4,6],[7],[8]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => 13
[[1,3,8],[2,4],[5,6],[7]] => [[1,2,4,6],[3,5],[7],[8]] => [[1,3,5,8],[2,4],[6],[7]] => [[1,2,4,7],[3,8],[5],[6]] => 18
[[1,2,8],[3,4],[5,6],[7]] => [[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,8],[4,5],[6],[7]] => [[1,2,7,8],[3,4],[5],[6]] => 11
[[1,5,7],[2,6],[3,8],[4]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => [[1,4,6,7],[2,5],[3],[8]] => 14
[[1,4,7],[2,6],[3,8],[5]] => [[1,2,5,6],[3,8],[4],[7]] => [[1,4,5,8],[2,7],[3],[6]] => [[1,3,4,7],[2,6],[5],[8]] => 12
[[1,3,7],[2,6],[4,8],[5]] => [[1,2,4,6],[3,8],[5],[7]] => [[1,3,5,8],[2,7],[4],[6]] => [[1,2,4,7],[3,6],[5],[8]] => 13
[[1,2,7],[3,6],[4,8],[5]] => [[1,2,3,6],[4,8],[5],[7]] => [[1,2,5,8],[3,7],[4],[6]] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,7],[2,5],[3,8],[6]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => [[1,3,6,7],[2,4],[5],[8]] => 15
[[1,3,7],[2,5],[4,8],[6]] => [[1,2,4,5],[3,8],[6],[7]] => [[1,3,4,8],[2,7],[5],[6]] => [[1,2,3,7],[4,6],[5],[8]] => 14
[[1,2,7],[3,5],[4,8],[6]] => [[1,2,3,5],[4,8],[6],[7]] => [[1,2,4,8],[3,7],[5],[6]] => [[1,3,7,8],[2,6],[4],[5]] => 8
[[1,3,7],[2,4],[5,8],[6]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => [[1,2,6,7],[3,8],[4],[5]] => 16
[[1,2,7],[3,4],[5,8],[6]] => [[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,8],[4,7],[5],[6]] => [[1,2,7,8],[3,6],[4],[5]] => 9
[[1,5,6],[2,7],[3,8],[4]] => [[1,2,6,7],[3,8],[4],[5]] => [[1,5,6,8],[2,7],[3],[4]] => [[1,4,5,7],[2,6],[3],[8]] => 15
[[1,4,6],[2,7],[3,8],[5]] => [[1,2,5,7],[3,8],[4],[6]] => [[1,4,6,8],[2,7],[3],[5]] => [[1,3,5,7],[2,6],[4],[8]] => 16
[[1,3,6],[2,7],[4,8],[5]] => [[1,2,4,7],[3,8],[5],[6]] => [[1,3,6,8],[2,7],[4],[5]] => [[1,2,5,7],[3,6],[4],[8]] => 17
[[1,2,6],[3,7],[4,8],[5]] => [[1,2,3,7],[4,8],[5],[6]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => 11
[[1,4,5],[2,7],[3,8],[6]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => [[1,3,4,5,7],[2,6],[8]] => 13
[[1,3,5],[2,7],[4,8],[6]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => [[1,2,4,5,7],[3,6],[8]] => 14
[[1,2,5],[3,7],[4,8],[6]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => 8
[[1,3,4],[2,7],[5,8],[6]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => [[1,2,3,5,7],[4,6],[8]] => 15
[[1,2,4],[3,7],[5,8],[6]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => 9
[[1,2,3],[4,7],[5,8],[6]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => 10
[[1,4,6],[2,5],[3,8],[7]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => [[1,3,5,6,7],[2,4],[8]] => 11
[[1,3,6],[2,5],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => [[1,2,3,6,7],[4,5],[8]] => 10
[[1,2,6],[3,5],[4,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => [[1,3,6,7,8],[2,5],[4]] => 4
[[1,3,6],[2,4],[5,8],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => [[1,2,5,6,7],[3,8],[4]] => 12
[[1,2,6],[3,4],[5,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => [[1,2,6,7,8],[3,5],[4]] => 5
[[1,4,5],[2,6],[3,8],[7]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => [[1,3,4,6,7],[2,5],[8]] => 12
[[1,3,5],[2,6],[4,8],[7]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => [[1,2,4,6,7],[3,5],[8]] => 13
[[1,2,5],[3,6],[4,8],[7]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => 7
[[1,3,4],[2,6],[5,8],[7]] => [[1,2,4,5,6],[3,8],[7]] => [[1,3,4,5,8],[2,7],[6]] => [[1,2,3,4,7],[5,6],[8]] => 11
[[1,2,4],[3,6],[5,8],[7]] => [[1,2,3,5,6],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => 5
[[1,2,3],[4,6],[5,8],[7]] => [[1,2,3,4,6],[5,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => 6
[[1,3,5],[2,4],[6,8],[7]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => [[1,2,4,6,7],[3,8],[5]] => 13
[[1,2,5],[3,4],[6,8],[7]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => [[1,2,6,7,8],[3,4],[5]] => 6
[[1,3,4],[2,5],[6,8],[7]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => [[1,2,3,6,7],[4,8],[5]] => 14
[[1,2,4],[3,5],[6,8],[7]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => 8
[[1,2,3],[4,5],[6,8],[7]] => [[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => 7
[[1,4,7],[2,5],[3,6],[8]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => [[1,3,6,7],[2,4],[5,8]] => 15
[[1,3,7],[2,5],[4,6],[8]] => [[1,2,4,5],[3,6],[7,8]] => [[1,3,4,8],[2,5],[6,7]] => [[1,2,3,7],[4,6],[5,8]] => 14
[[1,2,7],[3,5],[4,6],[8]] => [[1,2,3,5],[4,6],[7,8]] => [[1,2,4,8],[3,5],[6,7]] => [[1,3,7,8],[2,4],[5,6]] => 8
[[1,3,7],[2,4],[5,6],[8]] => [[1,2,4,6],[3,5],[7,8]] => [[1,3,5,8],[2,4],[6,7]] => [[1,2,4,7],[3,6],[5,8]] => 13
[[1,2,7],[3,4],[5,6],[8]] => [[1,2,3,4],[5,6],[7,8]] => [[1,2,3,8],[4,5],[6,7]] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,4,6],[2,5],[3,7],[8]] => [[1,2,5,7],[3,6],[4,8]] => [[1,4,6,8],[2,5],[3,7]] => [[1,3,5,7],[2,4],[6,8]] => 16
[[1,3,6],[2,5],[4,7],[8]] => [[1,2,4,5],[3,7],[6,8]] => [[1,3,4,8],[2,6],[5,7]] => [[1,2,3,7],[4,5],[6,8]] => 15
[[1,2,6],[3,5],[4,7],[8]] => [[1,2,3,5],[4,7],[6,8]] => [[1,2,4,8],[3,6],[5,7]] => [[1,3,7,8],[2,5],[4,6]] => 9
[[1,3,6],[2,4],[5,7],[8]] => [[1,2,4,7],[3,5],[6,8]] => [[1,3,6,8],[2,4],[5,7]] => [[1,2,5,7],[3,6],[4,8]] => 17
[[1,2,6],[3,4],[5,7],[8]] => [[1,2,3,4],[5,7],[6,8]] => [[1,2,3,8],[4,6],[5,7]] => [[1,2,7,8],[3,5],[4,6]] => 10
[[1,4,5],[2,6],[3,7],[8]] => [[1,2,5,6],[3,7],[4,8]] => [[1,4,5,8],[2,6],[3,7]] => [[1,3,4,7],[2,5],[6,8]] => 17
[[1,3,5],[2,6],[4,7],[8]] => [[1,2,4,6],[3,7],[5,8]] => [[1,3,5,8],[2,6],[4,7]] => [[1,2,4,7],[3,5],[6,8]] => 18
[[1,2,5],[3,6],[4,7],[8]] => [[1,2,3,6],[4,7],[5,8]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => 12
[[1,3,4],[2,6],[5,7],[8]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => [[1,2,3,4,7],[5,8],[6]] => 16
[[1,2,4],[3,6],[5,7],[8]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => 10
[[1,2,3],[4,6],[5,7],[8]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => 11
[[1,3,5],[2,4],[6,7],[8]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => [[1,2,4,5,7],[3,8],[6]] => 14
[[1,2,5],[3,4],[6,7],[8]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => [[1,2,5,7,8],[3,4],[6]] => 7
[[1,3,4],[2,5],[6,7],[8]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => [[1,2,3,5,7],[4,8],[6]] => 15
[[1,2,4],[3,5],[6,7],[8]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => 9
[[1,2,3],[4,5],[6,7],[8]] => [[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => 8
[[1,6,8],[2,7],[3],[4],[5]] => [[1,2,7],[3,8],[4],[5],[6]] => [[1,6,8],[2,7],[3],[4],[5]] => [[1,5,7],[2,6],[3],[4],[8]] => 18
[[1,5,8],[2,7],[3],[4],[6]] => [[1,2,6,7],[3],[4],[5],[8]] => [[1,5,6,8],[2],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6],[8]] => 15
[[1,4,8],[2,7],[3],[5],[6]] => [[1,2,5,7],[3],[4],[6],[8]] => [[1,4,6,8],[2],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6],[8]] => 16
[[1,3,8],[2,7],[4],[5],[6]] => [[1,2,4,7],[3],[5],[6],[8]] => [[1,3,6,8],[2],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6],[8]] => 17
[[1,2,8],[3,7],[4],[5],[6]] => [[1,2,3,7],[4],[5],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => 11
[[1,5,8],[2,6],[3],[4],[7]] => [[1,2,6],[3,7],[4],[5],[8]] => [[1,5,8],[2,6],[3],[4],[7]] => [[1,4,7],[2,5],[3],[6],[8]] => 19
[[1,4,8],[2,6],[3],[5],[7]] => [[1,2,5,6],[3],[4],[7],[8]] => [[1,4,5,8],[2],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6],[8]] => 17
[[1,3,8],[2,6],[4],[5],[7]] => [[1,2,4,6],[3],[5],[7],[8]] => [[1,3,5,8],[2],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6],[8]] => 18
[[1,2,8],[3,6],[4],[5],[7]] => [[1,2,3,6],[4],[5],[7],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => 12
[[1,4,8],[2,5],[3],[6],[7]] => [[1,2,5],[3,6],[4],[7],[8]] => [[1,4,8],[2,5],[3],[6],[7]] => [[1,3,7],[2,4],[5],[6],[8]] => 20
[[1,3,8],[2,5],[4],[6],[7]] => [[1,2,4,5],[3],[6],[7],[8]] => [[1,3,4,8],[2],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6],[8]] => 19
[[1,2,8],[3,5],[4],[6],[7]] => [[1,2,3,5],[4],[6],[7],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => 13
[[1,3,8],[2,4],[5],[6],[7]] => [[1,2,4],[3,5],[6],[7],[8]] => [[1,3,8],[2,4],[5],[6],[7]] => [[1,2,7],[3,8],[4],[5],[6]] => 21
[[1,2,8],[3,4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => 14
[[1,6,7],[2,8],[3],[4],[5]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4],[8]] => 13
[[1,5,7],[2,8],[3],[4],[6]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5],[8]] => 14
[[1,4,7],[2,8],[3],[5],[6]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5],[8]] => 15
[[1,3,7],[2,8],[4],[5],[6]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5],[8]] => 16
[[1,2,7],[3,8],[4],[5],[6]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,5,6],[2,8],[3],[4],[7]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => [[1,4,5,6,7],[2],[3],[8]] => 10
[[1,4,6],[2,8],[3],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => [[1,3,5,6,7],[2],[4],[8]] => 11
[[1,3,6],[2,8],[4],[5],[7]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => [[1,2,5,6,7],[3],[4],[8]] => 12
[[1,2,6],[3,8],[4],[5],[7]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => 6
[[1,4,5],[2,8],[3],[6],[7]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => [[1,3,4,6,7],[2],[5],[8]] => 12
[[1,3,5],[2,8],[4],[6],[7]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => [[1,2,4,6,7],[3],[5],[8]] => 13
[[1,2,5],[3,8],[4],[6],[7]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => 7
[[1,3,4],[2,8],[5],[6],[7]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => [[1,2,3,6,7],[4],[5],[8]] => 14
[[1,2,4],[3,8],[5],[6],[7]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => 8
[[1,2,3],[4,8],[5],[6],[7]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => 9
[[1,5,7],[2,6],[3],[4],[8]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => [[1,4,6,7],[2,5],[3],[8]] => 14
[[1,4,7],[2,6],[3],[5],[8]] => [[1,2,5,6],[3,8],[4],[7]] => [[1,4,5,8],[2,7],[3],[6]] => [[1,3,4,7],[2,6],[5],[8]] => 12
[[1,3,7],[2,6],[4],[5],[8]] => [[1,2,4,6],[3,8],[5],[7]] => [[1,3,5,8],[2,7],[4],[6]] => [[1,2,4,7],[3,6],[5],[8]] => 13
[[1,2,7],[3,6],[4],[5],[8]] => [[1,2,3,6],[4,8],[5],[7]] => [[1,2,5,8],[3,7],[4],[6]] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4,7],[2,5],[3],[6],[8]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => [[1,3,6,7],[2,4],[5],[8]] => 15
[[1,3,7],[2,5],[4],[6],[8]] => [[1,2,4,5],[3,8],[6],[7]] => [[1,3,4,8],[2,7],[5],[6]] => [[1,2,3,7],[4,6],[5],[8]] => 14
[[1,2,7],[3,5],[4],[6],[8]] => [[1,2,3,5],[4,8],[6],[7]] => [[1,2,4,8],[3,7],[5],[6]] => [[1,3,7,8],[2,6],[4],[5]] => 8
[[1,3,7],[2,4],[5],[6],[8]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => [[1,2,6,7],[3,8],[4],[5]] => 16
[[1,2,7],[3,4],[5],[6],[8]] => [[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,8],[4,7],[5],[6]] => [[1,2,7,8],[3,6],[4],[5]] => 9
[[1,5,6],[2,7],[3],[4],[8]] => [[1,2,6,7],[3,8],[4],[5]] => [[1,5,6,8],[2,7],[3],[4]] => [[1,4,5,7],[2,6],[3],[8]] => 15
[[1,4,6],[2,7],[3],[5],[8]] => [[1,2,5,7],[3,8],[4],[6]] => [[1,4,6,8],[2,7],[3],[5]] => [[1,3,5,7],[2,6],[4],[8]] => 16
[[1,3,6],[2,7],[4],[5],[8]] => [[1,2,4,7],[3,8],[5],[6]] => [[1,3,6,8],[2,7],[4],[5]] => [[1,2,5,7],[3,6],[4],[8]] => 17
[[1,2,6],[3,7],[4],[5],[8]] => [[1,2,3,7],[4,8],[5],[6]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => 11
[[1,4,5],[2,7],[3],[6],[8]] => [[1,2,5,6,7],[3],[4],[8]] => [[1,4,5,6,8],[2],[3],[7]] => [[1,3,4,5,7],[2],[6],[8]] => 13
[[1,3,5],[2,7],[4],[6],[8]] => [[1,2,4,6,7],[3],[5],[8]] => [[1,3,5,6,8],[2],[4],[7]] => [[1,2,4,5,7],[3],[6],[8]] => 14
[[1,2,5],[3,7],[4],[6],[8]] => [[1,2,3,6,7],[4],[5],[8]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => 8
[[1,3,4],[2,7],[5],[6],[8]] => [[1,2,4,5,7],[3],[6],[8]] => [[1,3,4,6,8],[2],[5],[7]] => [[1,2,3,5,7],[4],[6],[8]] => 15
[[1,2,4],[3,7],[5],[6],[8]] => [[1,2,3,5,7],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => 9
[[1,2,3],[4,7],[5],[6],[8]] => [[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => 10
[[1,4,6],[2,5],[3],[7],[8]] => [[1,2,5,7],[3,6],[4],[8]] => [[1,4,6,8],[2,5],[3],[7]] => [[1,3,5,7],[2,4],[6],[8]] => 16
[[1,3,6],[2,5],[4],[7],[8]] => [[1,2,4,5],[3,7],[6],[8]] => [[1,3,4,8],[2,6],[5],[7]] => [[1,2,3,7],[4,5],[6],[8]] => 15
[[1,2,6],[3,5],[4],[7],[8]] => [[1,2,3,5],[4,7],[6],[8]] => [[1,2,4,8],[3,6],[5],[7]] => [[1,3,7,8],[2,5],[4],[6]] => 9
[[1,3,6],[2,4],[5],[7],[8]] => [[1,2,4,7],[3,5],[6],[8]] => [[1,3,6,8],[2,4],[5],[7]] => [[1,2,5,7],[3,8],[4],[6]] => 17
[[1,2,6],[3,4],[5],[7],[8]] => [[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,8],[4,6],[5],[7]] => [[1,2,7,8],[3,5],[4],[6]] => 10
[[1,4,5],[2,6],[3],[7],[8]] => [[1,2,5,6],[3,7],[4],[8]] => [[1,4,5,8],[2,6],[3],[7]] => [[1,3,4,7],[2,5],[6],[8]] => 17
[[1,3,5],[2,6],[4],[7],[8]] => [[1,2,4,6],[3,7],[5],[8]] => [[1,3,5,8],[2,6],[4],[7]] => [[1,2,4,7],[3,5],[6],[8]] => 18
[[1,2,5],[3,6],[4],[7],[8]] => [[1,2,3,6],[4,7],[5],[8]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => 12
[[1,3,4],[2,6],[5],[7],[8]] => [[1,2,4,5,6],[3],[7],[8]] => [[1,3,4,5,8],[2],[6],[7]] => [[1,2,3,4,7],[5],[6],[8]] => 16
[[1,2,4],[3,6],[5],[7],[8]] => [[1,2,3,5,6],[4],[7],[8]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => 10
[[1,2,3],[4,6],[5],[7],[8]] => [[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => 11
[[1,3,5],[2,4],[6],[7],[8]] => [[1,2,4,6],[3,5],[7],[8]] => [[1,3,5,8],[2,4],[6],[7]] => [[1,2,4,7],[3,8],[5],[6]] => 18
[[1,2,5],[3,4],[6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,8],[4,5],[6],[7]] => [[1,2,7,8],[3,4],[5],[6]] => 11
[[1,3,4],[2,5],[6],[7],[8]] => [[1,2,4,5],[3,6],[7],[8]] => [[1,3,4,8],[2,5],[6],[7]] => [[1,2,3,7],[4,8],[5],[6]] => 19
[[1,2,4],[3,5],[6],[7],[8]] => [[1,2,3,5],[4,6],[7],[8]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => 13
[[1,2,3],[4,5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => 12
[[1,7,8],[2],[3],[4],[5],[6]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[1,7,8],[2],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5],[8]] => 17
[[1,6,8],[2],[3],[4],[5],[7]] => [[1,2,7],[3],[4],[5],[6],[8]] => [[1,6,8],[2],[3],[4],[5],[7]] => [[1,5,7],[2],[3],[4],[6],[8]] => 18
[[1,5,8],[2],[3],[4],[6],[7]] => [[1,2,6],[3],[4],[5],[7],[8]] => [[1,5,8],[2],[3],[4],[6],[7]] => [[1,4,7],[2],[3],[5],[6],[8]] => 19
[[1,4,8],[2],[3],[5],[6],[7]] => [[1,2,5],[3],[4],[6],[7],[8]] => [[1,4,8],[2],[3],[5],[6],[7]] => [[1,3,7],[2],[4],[5],[6],[8]] => 20
[[1,3,8],[2],[4],[5],[6],[7]] => [[1,2,4],[3],[5],[6],[7],[8]] => [[1,3,8],[2],[4],[5],[6],[7]] => [[1,2,7],[3],[4],[5],[6],[8]] => 21
[[1,2,8],[3],[4],[5],[6],[7]] => [[1,2,3],[4],[5],[6],[7],[8]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1,6,7],[2],[3],[4],[5],[8]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4],[8]] => 13
[[1,5,7],[2],[3],[4],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5],[8]] => 14
[[1,4,7],[2],[3],[5],[6],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5],[8]] => 15
[[1,3,7],[2],[4],[5],[6],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5],[8]] => 16
[[1,2,7],[3],[4],[5],[6],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,5,6],[2],[3],[4],[7],[8]] => [[1,2,6,7],[3],[4],[5],[8]] => [[1,5,6,8],[2],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6],[8]] => 15
[[1,4,6],[2],[3],[5],[7],[8]] => [[1,2,5,7],[3],[4],[6],[8]] => [[1,4,6,8],[2],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6],[8]] => 16
[[1,3,6],[2],[4],[5],[7],[8]] => [[1,2,4,7],[3],[5],[6],[8]] => [[1,3,6,8],[2],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6],[8]] => 17
[[1,2,6],[3],[4],[5],[7],[8]] => [[1,2,3,7],[4],[5],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => 11
[[1,4,5],[2],[3],[6],[7],[8]] => [[1,2,5,6],[3],[4],[7],[8]] => [[1,4,5,8],[2],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6],[8]] => 17
[[1,3,5],[2],[4],[6],[7],[8]] => [[1,2,4,6],[3],[5],[7],[8]] => [[1,3,5,8],[2],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6],[8]] => 18
[[1,2,5],[3],[4],[6],[7],[8]] => [[1,2,3,6],[4],[5],[7],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => 12
[[1,3,4],[2],[5],[6],[7],[8]] => [[1,2,4,5],[3],[6],[7],[8]] => [[1,3,4,8],[2],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6],[8]] => 19
[[1,2,4],[3],[5],[6],[7],[8]] => [[1,2,3,5],[4],[6],[7],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => 13
[[1,2,3],[4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => 14
[[1,5],[2,6],[3,7],[4,8]] => [[1,2,6],[3,7],[4,8],[5]] => [[1,5,8],[2,6],[3,7],[4]] => [[1,4,7],[2,5],[3,6],[8]] => 19
[[1,4],[2,6],[3,7],[5,8]] => [[1,2,5,6],[3,7],[4,8]] => [[1,4,5,8],[2,6],[3,7]] => [[1,3,4,7],[2,5],[6,8]] => 17
[[1,3],[2,6],[4,7],[5,8]] => [[1,2,4,6],[3,7],[5,8]] => [[1,3,5,8],[2,6],[4,7]] => [[1,2,4,7],[3,5],[6,8]] => 18
[[1,2],[3,6],[4,7],[5,8]] => [[1,2,3,6],[4,7],[5,8]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => 12
[[1,4],[2,5],[3,7],[6,8]] => [[1,2,5,7],[3,6],[4,8]] => [[1,4,6,8],[2,5],[3,7]] => [[1,3,5,7],[2,4],[6,8]] => 16
[[1,3],[2,5],[4,7],[6,8]] => [[1,2,4,5],[3,7],[6,8]] => [[1,3,4,8],[2,6],[5,7]] => [[1,2,3,7],[4,5],[6,8]] => 15
[[1,2],[3,5],[4,7],[6,8]] => [[1,2,3,5],[4,7],[6,8]] => [[1,2,4,8],[3,6],[5,7]] => [[1,3,7,8],[2,5],[4,6]] => 9
[[1,3],[2,4],[5,7],[6,8]] => [[1,2,4,7],[3,5],[6,8]] => [[1,3,6,8],[2,4],[5,7]] => [[1,2,5,7],[3,6],[4,8]] => 17
[[1,2],[3,4],[5,7],[6,8]] => [[1,2,3,4],[5,7],[6,8]] => [[1,2,3,8],[4,6],[5,7]] => [[1,2,7,8],[3,5],[4,6]] => 10
[[1,4],[2,5],[3,6],[7,8]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => [[1,3,6,7],[2,4],[5,8]] => 15
[[1,3],[2,5],[4,6],[7,8]] => [[1,2,4,5],[3,6],[7,8]] => [[1,3,4,8],[2,5],[6,7]] => [[1,2,3,7],[4,6],[5,8]] => 14
[[1,2],[3,5],[4,6],[7,8]] => [[1,2,3,5],[4,6],[7,8]] => [[1,2,4,8],[3,5],[6,7]] => [[1,3,7,8],[2,4],[5,6]] => 8
[[1,3],[2,4],[5,6],[7,8]] => [[1,2,4,6],[3,5],[7,8]] => [[1,3,5,8],[2,4],[6,7]] => [[1,2,4,7],[3,6],[5,8]] => 13
[[1,2],[3,4],[5,6],[7,8]] => [[1,2,3,4],[5,6],[7,8]] => [[1,2,3,8],[4,5],[6,7]] => [[1,2,7,8],[3,4],[5,6]] => 6
[[1,6],[2,7],[3,8],[4],[5]] => [[1,2,7],[3,8],[4],[5],[6]] => [[1,6,8],[2,7],[3],[4],[5]] => [[1,5,7],[2,6],[3],[4],[8]] => 18
[[1,5],[2,7],[3,8],[4],[6]] => [[1,2,6,7],[3,8],[4],[5]] => [[1,5,6,8],[2,7],[3],[4]] => [[1,4,5,7],[2,6],[3],[8]] => 15
[[1,4],[2,7],[3,8],[5],[6]] => [[1,2,5,7],[3,8],[4],[6]] => [[1,4,6,8],[2,7],[3],[5]] => [[1,3,5,7],[2,6],[4],[8]] => 16
[[1,3],[2,7],[4,8],[5],[6]] => [[1,2,4,7],[3,8],[5],[6]] => [[1,3,6,8],[2,7],[4],[5]] => [[1,2,5,7],[3,6],[4],[8]] => 17
[[1,2],[3,7],[4,8],[5],[6]] => [[1,2,3,7],[4,8],[5],[6]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => 11
[[1,5],[2,6],[3,8],[4],[7]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => [[1,4,6,7],[2,5],[3],[8]] => 14
[[1,4],[2,6],[3,8],[5],[7]] => [[1,2,5,6],[3,8],[4],[7]] => [[1,4,5,8],[2,7],[3],[6]] => [[1,3,4,7],[2,6],[5],[8]] => 12
[[1,3],[2,6],[4,8],[5],[7]] => [[1,2,4,6],[3,8],[5],[7]] => [[1,3,5,8],[2,7],[4],[6]] => [[1,2,4,7],[3,6],[5],[8]] => 13
[[1,2],[3,6],[4,8],[5],[7]] => [[1,2,3,6],[4,8],[5],[7]] => [[1,2,5,8],[3,7],[4],[6]] => [[1,4,7,8],[2,6],[3],[5]] => 7
[[1,4],[2,5],[3,8],[6],[7]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => [[1,3,6,7],[2,4],[5],[8]] => 15
[[1,3],[2,5],[4,8],[6],[7]] => [[1,2,4,5],[3,8],[6],[7]] => [[1,3,4,8],[2,7],[5],[6]] => [[1,2,3,7],[4,6],[5],[8]] => 14
[[1,2],[3,5],[4,8],[6],[7]] => [[1,2,3,5],[4,8],[6],[7]] => [[1,2,4,8],[3,7],[5],[6]] => [[1,3,7,8],[2,6],[4],[5]] => 8
[[1,3],[2,4],[5,8],[6],[7]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => [[1,2,6,7],[3,8],[4],[5]] => 16
[[1,2],[3,4],[5,8],[6],[7]] => [[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,8],[4,7],[5],[6]] => [[1,2,7,8],[3,6],[4],[5]] => 9
[[1,5],[2,6],[3,7],[4],[8]] => [[1,2,6],[3,7],[4,8],[5]] => [[1,5,8],[2,6],[3,7],[4]] => [[1,4,7],[2,5],[3,6],[8]] => 19
[[1,4],[2,6],[3,7],[5],[8]] => [[1,2,5,6],[3,7],[4],[8]] => [[1,4,5,8],[2,6],[3],[7]] => [[1,3,4,7],[2,5],[6],[8]] => 17
[[1,3],[2,6],[4,7],[5],[8]] => [[1,2,4,6],[3,7],[5],[8]] => [[1,3,5,8],[2,6],[4],[7]] => [[1,2,4,7],[3,5],[6],[8]] => 18
[[1,2],[3,6],[4,7],[5],[8]] => [[1,2,3,6],[4,7],[5],[8]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => 12
[[1,4],[2,5],[3,7],[6],[8]] => [[1,2,5,7],[3,6],[4],[8]] => [[1,4,6,8],[2,5],[3],[7]] => [[1,3,5,7],[2,4],[6],[8]] => 16
[[1,3],[2,5],[4,7],[6],[8]] => [[1,2,4,5],[3,7],[6],[8]] => [[1,3,4,8],[2,6],[5],[7]] => [[1,2,3,7],[4,5],[6],[8]] => 15
[[1,2],[3,5],[4,7],[6],[8]] => [[1,2,3,5],[4,7],[6],[8]] => [[1,2,4,8],[3,6],[5],[7]] => [[1,3,7,8],[2,5],[4],[6]] => 9
[[1,3],[2,4],[5,7],[6],[8]] => [[1,2,4,7],[3,5],[6],[8]] => [[1,3,6,8],[2,4],[5],[7]] => [[1,2,5,7],[3,8],[4],[6]] => 17
[[1,2],[3,4],[5,7],[6],[8]] => [[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,8],[4,6],[5],[7]] => [[1,2,7,8],[3,5],[4],[6]] => 10
[[1,4],[2,5],[3,6],[7],[8]] => [[1,2,5],[3,6],[4,7],[8]] => [[1,4,8],[2,5],[3,6],[7]] => [[1,3,7],[2,4],[5,8],[6]] => 20
[[1,3],[2,5],[4,6],[7],[8]] => [[1,2,4,5],[3,6],[7],[8]] => [[1,3,4,8],[2,5],[6],[7]] => [[1,2,3,7],[4,8],[5],[6]] => 19
[[1,2],[3,5],[4,6],[7],[8]] => [[1,2,3,5],[4,6],[7],[8]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => 13
[[1,3],[2,4],[5,6],[7],[8]] => [[1,2,4,6],[3,5],[7],[8]] => [[1,3,5,8],[2,4],[6],[7]] => [[1,2,4,7],[3,8],[5],[6]] => 18
[[1,2],[3,4],[5,6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,8],[4,5],[6],[7]] => [[1,2,7,8],[3,4],[5],[6]] => 11
[[1,7],[2,8],[3],[4],[5],[6]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[1,7,8],[2],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5],[8]] => 17
[[1,6],[2,8],[3],[4],[5],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4],[8]] => 13
[[1,5],[2,8],[3],[4],[6],[7]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5],[8]] => 14
[[1,4],[2,8],[3],[5],[6],[7]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5],[8]] => 15
[[1,3],[2,8],[4],[5],[6],[7]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5],[8]] => 16
[[1,2],[3,8],[4],[5],[6],[7]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => 10
[[1,6],[2,7],[3],[4],[5],[8]] => [[1,2,7],[3,8],[4],[5],[6]] => [[1,6,8],[2,7],[3],[4],[5]] => [[1,5,7],[2,6],[3],[4],[8]] => 18
[[1,5],[2,7],[3],[4],[6],[8]] => [[1,2,6,7],[3],[4],[5],[8]] => [[1,5,6,8],[2],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6],[8]] => 15
[[1,4],[2,7],[3],[5],[6],[8]] => [[1,2,5,7],[3],[4],[6],[8]] => [[1,4,6,8],[2],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6],[8]] => 16
[[1,3],[2,7],[4],[5],[6],[8]] => [[1,2,4,7],[3],[5],[6],[8]] => [[1,3,6,8],[2],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6],[8]] => 17
[[1,2],[3,7],[4],[5],[6],[8]] => [[1,2,3,7],[4],[5],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => 11
[[1,5],[2,6],[3],[4],[7],[8]] => [[1,2,6],[3,7],[4],[5],[8]] => [[1,5,8],[2,6],[3],[4],[7]] => [[1,4,7],[2,5],[3],[6],[8]] => 19
[[1,4],[2,6],[3],[5],[7],[8]] => [[1,2,5,6],[3],[4],[7],[8]] => [[1,4,5,8],[2],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6],[8]] => 17
[[1,3],[2,6],[4],[5],[7],[8]] => [[1,2,4,6],[3],[5],[7],[8]] => [[1,3,5,8],[2],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6],[8]] => 18
[[1,2],[3,6],[4],[5],[7],[8]] => [[1,2,3,6],[4],[5],[7],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => 12
[[1,4],[2,5],[3],[6],[7],[8]] => [[1,2,5],[3,6],[4],[7],[8]] => [[1,4,8],[2,5],[3],[6],[7]] => [[1,3,7],[2,4],[5],[6],[8]] => 20
[[1,3],[2,5],[4],[6],[7],[8]] => [[1,2,4,5],[3],[6],[7],[8]] => [[1,3,4,8],[2],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6],[8]] => 19
[[1,2],[3,5],[4],[6],[7],[8]] => [[1,2,3,5],[4],[6],[7],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => 13
[[1,3],[2,4],[5],[6],[7],[8]] => [[1,2,4],[3,5],[6],[7],[8]] => [[1,3,8],[2,4],[5],[6],[7]] => [[1,2,7],[3,8],[4],[5],[6]] => 21
[[1,2],[3,4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => 14
[[1,8],[2],[3],[4],[5],[6],[7]] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[1,8],[2],[3],[4],[5],[6],[7]] => [[1,7],[2],[3],[4],[5],[6],[8]] => 22
[[1,7],[2],[3],[4],[5],[6],[8]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[1,7,8],[2],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5],[8]] => 17
[[1,6],[2],[3],[4],[5],[7],[8]] => [[1,2,7],[3],[4],[5],[6],[8]] => [[1,6,8],[2],[3],[4],[5],[7]] => [[1,5,7],[2],[3],[4],[6],[8]] => 18
[[1,5],[2],[3],[4],[6],[7],[8]] => [[1,2,6],[3],[4],[5],[7],[8]] => [[1,5,8],[2],[3],[4],[6],[7]] => [[1,4,7],[2],[3],[5],[6],[8]] => 19
[[1,4],[2],[3],[5],[6],[7],[8]] => [[1,2,5],[3],[4],[6],[7],[8]] => [[1,4,8],[2],[3],[5],[6],[7]] => [[1,3,7],[2],[4],[5],[6],[8]] => 20
[[1,3],[2],[4],[5],[6],[7],[8]] => [[1,2,4],[3],[5],[6],[7],[8]] => [[1,3,8],[2],[4],[5],[6],[7]] => [[1,2,7],[3],[4],[5],[6],[8]] => 21
[[1,2],[3],[4],[5],[6],[7],[8]] => [[1,2,3],[4],[5],[6],[7],[8]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
[[1],[2],[3],[4],[5],[6],[7],[8]] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[1,8],[2],[3],[4],[5],[6],[7]] => [[1,7],[2],[3],[4],[5],[6],[8]] => 22
[[1,3,4,5,6],[2,7,8,9,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[1,2,5,7,9],[3,4,6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => 12
[[1,2,4,6,8],[3,5,7,9,10]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => [[1,3,5,7,8,9,10],[2,4,6]] => 9
[[1,2,4,6,7],[3,5,8,9,10]] => [[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,4,6,7,8,9,10],[3,5]] => [[1,3,5,6,7,8,9,10],[2,4]] => 4
[[1,2,4,5,6],[3,7,8,9,10]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[1,2,3,7,9],[4,5,6,8,10]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => 10
[[1,2,3,7,8],[4,5,6,9,10]] => [[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,8,9,10],[6,7]] => [[1,2,3,4,7,8,9,10],[5,6]] => 4
[[1,2,3,6,9],[4,5,7,8,10]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => [[1,2,3,5,6,8,9,10],[4,7]] => 9
[[1,2,3,6,8],[4,5,7,9,10]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,5,7,8,9,10],[4,6]] => 8
[[1,2,3,5,9],[4,6,7,8,10]] => [[1,2,3,4,6,7,8,10],[5,9]] => [[1,2,3,5,6,7,9,10],[4,8]] => [[1,2,4,5,6,8,9,10],[3,7]] => 8
[[1,2,3,5,8],[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]] => [[1,2,4,5,7,8,9,10],[3,6]] => 7
[[1,2,3,5,7],[4,6,8,9,10]] => [[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,4,6,7,8,9,10],[3,5]] => 6
[[1,2,3,5,6],[4,7,8,9,10]] => [[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => 2
[[1,2,3,4,9],[5,6,7,8,10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => 6
[[1,2,3,4,8],[5,6,7,9,10]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => 5
[[1,2,3,4,7],[5,6,8,9,10]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,6,7,8,9,10],[5]] => 4
[[1,2,3,4,6],[5,7,8,9,10]] => [[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,5,6,7,8,9,10],[4]] => 3
[[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]] => 0
[[1,2,5,7,9,11],[3,4,6,8,10,12]] => [[1,2,3,4,6,8,10,12],[5,7,9,11]] => [[1,2,3,5,7,9,11,12],[4,6,8,10]] => [[1,2,4,6,8,10,11,12],[3,5,7,9]] => 20
[[1,2,3,7,9,11],[4,5,6,8,10,12]] => [[1,2,3,4,5,6,8,10,12],[7,9,11]] => [[1,2,3,4,5,7,9,11,12],[6,8,10]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => 18
[[1,2,3,7,9,10],[4,5,6,8,11,12]] => [[1,2,3,4,5,6,8,11,12],[7,9,10]] => [[1,2,3,4,5,7,10,11,12],[6,8,9]] => [[1,2,3,4,6,9,10,11,12],[5,7,8]] => 10
[[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,2,3,4,5,6,9,10,12],[7,8,11]] => [[1,2,3,4,5,8,9,11,12],[6,7,10]] => [[1,2,3,4,7,8,10,11,12],[5,6,9]] => 12
[[1,2,3,7,8,10],[4,5,6,9,11,12]] => [[1,2,3,4,5,6,9,11,12],[7,8,10]] => [[1,2,3,4,5,8,10,11,12],[6,7,9]] => [[1,2,3,4,7,9,10,11,12],[5,6,8]] => 11
[[1,2,3,6,9,11],[4,5,7,8,10,12]] => [[1,2,3,4,5,7,8,10,12],[6,9,11]] => [[1,2,3,4,6,7,9,11,12],[5,8,10]] => [[1,2,3,5,6,8,10,11,12],[4,7,9]] => 17
[[1,2,3,6,9,10],[4,5,7,8,11,12]] => [[1,2,3,4,5,7,8,11,12],[6,9,10]] => [[1,2,3,4,6,7,10,11,12],[5,8,9]] => [[1,2,3,5,6,9,10,11,12],[4,7,8]] => 9
[[1,2,3,6,8,11],[4,5,7,9,10,12]] => [[1,2,3,4,5,7,9,10,12],[6,8,11]] => [[1,2,3,4,6,8,9,11,12],[5,7,10]] => [[1,2,3,5,7,8,10,11,12],[4,6,9]] => 16
[[1,2,3,6,8,10],[4,5,7,9,11,12]] => [[1,2,3,4,5,7,9,11,12],[6,8,10]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => [[1,2,3,5,7,9,10,11,12],[4,6,8]] => 15
[[1,2,3,5,9,11],[4,6,7,8,10,12]] => [[1,2,3,4,6,7,8,10,12],[5,9,11]] => [[1,2,3,5,6,7,9,11,12],[4,8,10]] => [[1,2,4,5,6,8,10,11,12],[3,7,9]] => 16
[[1,2,3,5,9,10],[4,6,7,8,11,12]] => [[1,2,3,4,6,7,8,11,12],[5,9,10]] => [[1,2,3,5,6,7,10,11,12],[4,8,9]] => [[1,2,4,5,6,9,10,11,12],[3,7,8]] => 8
[[1,2,3,5,8,11],[4,6,7,9,10,12]] => [[1,2,3,4,6,7,9,10,12],[5,8,11]] => [[1,2,3,5,6,8,9,11,12],[4,7,10]] => [[1,2,4,5,7,8,10,11,12],[3,6,9]] => 15
[[1,2,3,5,8,10],[4,6,7,9,11,12]] => [[1,2,3,4,6,7,9,11,12],[5,8,10]] => [[1,2,3,5,6,8,10,11,12],[4,7,9]] => [[1,2,4,5,7,9,10,11,12],[3,6,8]] => 14
[[1,2,3,5,7,11],[4,6,8,9,10,12]] => [[1,2,3,4,6,8,9,10,12],[5,7,11]] => [[1,2,3,5,7,8,9,11,12],[4,6,10]] => [[1,2,4,6,7,8,10,11,12],[3,5,9]] => 14
[[1,2,3,5,7,10],[4,6,8,9,11,12]] => [[1,2,3,4,6,8,9,11,12],[5,7,10]] => [[1,2,3,5,7,8,10,11,12],[4,6,9]] => [[1,2,4,6,7,9,10,11,12],[3,5,8]] => 13
[[1,2,3,5,7,9],[4,6,8,10,11,12]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => [[1,2,3,5,7,9,10,11,12],[4,6,8]] => [[1,2,4,6,8,9,10,11,12],[3,5,7]] => 12
[[1,2,3,5,7,8],[4,6,9,10,11,12]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => [[1,2,3,5,7,8,9,10,11,12],[4,6]] => [[1,2,4,6,7,8,9,10,11,12],[3,5]] => 6
[[1,2,3,5,6,11],[4,7,8,9,10,12]] => [[1,2,3,4,6,7,8,9,10,12],[5,11]] => [[1,2,3,5,6,7,8,9,11,12],[4,10]] => [[1,2,4,5,6,7,8,10,11,12],[3,9]] => 10
[[1,2,3,5,6,10],[4,7,8,9,11,12]] => [[1,2,3,4,6,7,8,9,11,12],[5,10]] => [[1,2,3,5,6,7,8,10,11,12],[4,9]] => [[1,2,4,5,6,7,9,10,11,12],[3,8]] => 9
[[1,2,3,5,6,9],[4,7,8,10,11,12]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => [[1,2,3,5,6,7,9,10,11,12],[4,8]] => [[1,2,4,5,6,8,9,10,11,12],[3,7]] => 8
[[1,2,3,5,6,8],[4,7,9,10,11,12]] => [[1,2,3,4,6,7,9,10,11,12],[5,8]] => [[1,2,3,5,6,8,9,10,11,12],[4,7]] => [[1,2,4,5,7,8,9,10,11,12],[3,6]] => 7
[[1,2,3,5,6,7],[4,8,9,10,11,12]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => [[1,2,3,5,6,7,8,9,10,11,12],[4]] => [[1,2,4,5,6,7,8,9,10,11,12],[3]] => 2
[[1,2,3,4,9,11],[5,6,7,8,10,12]] => [[1,2,3,4,5,6,7,8,10,12],[9,11]] => [[1,2,3,4,5,6,7,9,11,12],[8,10]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => 14
[[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,2,3,4,5,6,7,8,11,12],[9,10]] => [[1,2,3,4,5,6,7,10,11,12],[8,9]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => 6
[[1,2,3,4,8,11],[5,6,7,9,10,12]] => [[1,2,3,4,5,6,7,9,10,12],[8,11]] => [[1,2,3,4,5,6,8,9,11,12],[7,10]] => [[1,2,3,4,5,7,8,10,11,12],[6,9]] => 13
[[1,2,3,4,8,10],[5,6,7,9,11,12]] => [[1,2,3,4,5,6,7,9,11,12],[8,10]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => 12
[[1,2,3,4,8,9],[5,6,7,10,11,12]] => [[1,2,3,4,5,6,7,10,11,12],[8,9]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => [[1,2,3,4,5,8,9,10,11,12],[6,7]] => 5
[[1,2,3,4,7,11],[5,6,8,9,10,12]] => [[1,2,3,4,5,6,8,9,10,12],[7,11]] => [[1,2,3,4,5,7,8,9,11,12],[6,10]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => 12
[[1,2,3,4,7,10],[5,6,8,9,11,12]] => [[1,2,3,4,5,6,8,9,11,12],[7,10]] => [[1,2,3,4,5,7,8,10,11,12],[6,9]] => [[1,2,3,4,6,7,9,10,11,12],[5,8]] => 11
[[1,2,3,4,7,9],[5,6,8,10,11,12]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => 10
[[1,2,3,4,7,8],[5,6,9,10,11,12]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => [[1,2,3,4,5,8,9,10,11,12],[6,7]] => [[1,2,3,4,7,8,9,10,11,12],[5,6]] => 4
[[1,2,3,4,6,11],[5,7,8,9,10,12]] => [[1,2,3,4,5,7,8,9,10,12],[6,11]] => [[1,2,3,4,6,7,8,9,11,12],[5,10]] => [[1,2,3,5,6,7,8,10,11,12],[4,9]] => 11
[[1,2,3,4,6,10],[5,7,8,9,11,12]] => [[1,2,3,4,5,7,8,9,11,12],[6,10]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => [[1,2,3,5,6,7,9,10,11,12],[4,8]] => 10
[[1,2,3,4,6,9],[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]] => [[1,2,3,5,6,8,9,10,11,12],[4,7]] => 9
[[1,2,3,4,6,8],[5,7,9,10,11,12]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => [[1,2,3,5,7,8,9,10,11,12],[4,6]] => 8
[[1,2,3,4,6,7],[5,8,9,10,11,12]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => [[1,2,3,5,6,7,8,9,10,11,12],[4]] => 3
[[1,2,3,4,5,11],[6,7,8,9,10,12]] => [[1,2,3,4,5,6,7,8,9,10,12],[11]] => [[1,2,3,4,5,6,7,8,9,11,12],[10]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => 8
[[1,2,3,4,5,10],[6,7,8,9,11,12]] => [[1,2,3,4,5,6,7,8,9,11,12],[10]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => 7
[[1,2,3,4,5,9],[6,7,8,10,11,12]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => 6
[[1,2,3,4,5,8],[6,7,9,10,11,12]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => 5
[[1,2,3,4,5,7],[6,8,9,10,11,12]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => 4
[[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]] => 0
[[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]] => 0
[[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]] => 0
[[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]] => 0
[[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]] => 0
[[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]] => 0
[[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => 20
[[1,2],[3,4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => 20
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 21
[[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]] => 0
[[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]] => 0
[[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]] => 0
[[1,2,3,4,5,6,7,8],[9],[10]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => 7
[[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]] => 0
[[1,2,3,4,5,6,7],[8,9],[10]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => 7
[[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]] => 0
[[1,2,3,4,5,6],[7,8,9],[10]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => 7
[[1,2,3,4,5,6],[7,8],[9,10]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,9,10],[7,8]] => 6
[[1,2,3,4,5],[6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => 7
[[1,2,3,4,5],[6,7,8],[9,10]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,9,10],[7,8]] => 6
[[1,2,3,4],[5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,9,10],[7,8]] => 6
[[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,2,3,4,5,10],[6,7],[8,9]] => [[1,2,3,4,9,10],[5,6],[7,8]] => 10
[[1,2,3],[4,5,6],[7,8],[9,10]] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,2,3,4,5,10],[6,7],[8,9]] => [[1,2,3,4,9,10],[5,6],[7,8]] => 10
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => 27
[[1,2],[3,4],[5,6],[7,8],[9,10]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,2,3,10],[4,5],[6,7],[8,9]] => [[1,2,9,10],[3,4],[5,6],[7,8]] => 12
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => 27
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 28
[[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]] => 0
[[1,3,4,5,6,7,8,9],[2]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[1,2,7,8,9],[3,4],[5,6]] => [[1,2,3,4,9],[5,6],[7,8]] => [[1,2,3,8,9],[4,5],[6,7]] => [[1,2,7,8,9],[3,4],[5,6]] => 6
[[1,3,4,5],[2,7,8,9],[6]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[1,2,3,4,9,10],[5,6,7,8]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,9,10],[7,8]] => 6
[[1,2,9,10],[3,4],[5,6],[7,8]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,2,3,10],[4,5],[6,7],[8,9]] => [[1,2,9,10],[3,4],[5,6],[7,8]] => 12
[[1,3,5,7,9],[2,4,6,8]] => [[1,2,4,6,8],[3,5,7,9]] => [[1,3,5,7,9],[2,4,6,8]] => [[1,2,4,6,8],[3,5,7,9]] => 20
[[1,2,6],[3,7],[4,8],[5,9]] => [[1,2,3,7],[4,8],[5,9],[6]] => [[1,2,6,9],[3,7],[4,8],[5]] => [[1,5,8,9],[2,6],[3,7],[4]] => 17
[[1,3,5,7],[2,4,6,8],[9]] => [[1,2,4,6,8],[3,5,7,9]] => [[1,3,5,7,9],[2,4,6,8]] => [[1,2,4,6,8],[3,5,7,9]] => 20
[[1,2,4,6,8],[3,5,7,9]] => [[1,2,3,5,7,9],[4,6,8]] => [[1,2,4,6,8,9],[3,5,7]] => [[1,3,5,7,8,9],[2,4,6]] => 9
[[1,2,6],[3,7],[4,8],[5,9],[10]] => [[1,2,3,7],[4,8],[5,9],[6,10]] => [[1,2,6,10],[3,7],[4,8],[5,9]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => 24
[[1,2,5,8],[3,6,9],[4,7,10]] => [[1,2,3,6,9],[4,7,10],[5,8]] => [[1,2,5,8,10],[3,6,9],[4,7]] => [[1,4,7,9,10],[2,5,8],[3,6]] => 19
[[1,2,4,6,8],[3,5,7,9],[10]] => [[1,2,3,5,7,9],[4,6,8,10]] => [[1,2,4,6,8,10],[3,5,7,9]] => [[1,3,5,7,9,10],[2,4,6,8]] => 16
[[1,2,3,4,6,8],[5,7,9],[10]] => [[1,2,3,4,5,7,9],[6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => 15
[[1,2,3,4,5,6,8],[7,9],[10]] => [[1,2,3,4,5,6,7,9],[8,10]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => 12
[[1,2,3,5,7,9],[4,6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => 12
[[1,2,3,4,5,7,9],[6,8,10]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => 10
[[1,2,3,4,5,6,7,9],[8,10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => 6
[[1,2],[3,7],[4,8],[5,9],[6,10]] => [[1,2,3,7],[4,8],[5,9],[6,10]] => [[1,2,6,10],[3,7],[4,8],[5,9]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => 24
[[1,2,3,7],[4,5,6,9],[8]] => [[1,2,3,4,5,6,9],[7,8]] => [[1,2,3,4,5,8,9],[6,7]] => [[1,2,3,4,7,8,9],[5,6]] => 4
[[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => 20
[[1,2,9],[3,4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => 20
[[1,2,9],[3],[4],[5],[6],[7],[8]] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => 7
[[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => 7
[[1,2,3,4,5,6,10],[7,8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => 7
[[1,2,3,4,5,10],[6,7,8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => 7
[[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => 27
[[1,2,10],[3,4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => 27
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 28
[] => [] => [] => [] => 0
[[1,2,4,5,6,7,8,9,10],[3]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[1,3,4,5,6,7,8],[2,9]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[1,3,4,5,6,7,8],[2],[9]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[1,3,4,5,6,7],[2,8,9]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[1,3,4,5,6,7],[2,9],[8]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[1,3,4,5,6],[2,7,8,9]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[1,3,4,5,6],[2,8,9],[7]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => [[1,2,3,4,5,6,7,8],[9]] => 8
[[1,3,4,5,6,7,8,9],[2,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[1,3,4,5,6,7,8,9],[2],[10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[1,3,4,5,6,7,8],[2,9,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[1,3,4,5,6,7,8],[2,10],[9]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[1,3,4,5,6,7],[2,8,9,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[1,3,4,5,6,7],[2,9,10],[8]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[1,3,4,5,6],[2,8,9,10],[7]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
[[1,2,4,6,8,10],[3,5,7,9]] => [[1,2,3,5,7,9],[4,6,8,10]] => [[1,2,4,6,8,10],[3,5,7,9]] => [[1,3,5,7,9,10],[2,4,6,8]] => 16
[[1,2,4,6,8,9,10],[3,5,7]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => [[1,3,5,7,8,9,10],[2,4,6]] => 9
[[1,2,4,6,7,8,9,10],[3,5]] => [[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,4,6,7,8,9,10],[3,5]] => [[1,3,5,6,7,8,9,10],[2,4]] => 4
[[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,4,5,7,9],[6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => 15
[[1,2,3,4,7,8,9,10],[5,6]] => [[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,8,9,10],[6,7]] => [[1,2,3,4,7,8,9,10],[5,6]] => 4
[[1,2,3,5,6,8,10],[4,7,9]] => [[1,2,3,4,6,7,9],[5,8,10]] => [[1,2,3,5,6,8,10],[4,7,9]] => [[1,2,4,5,7,9,10],[3,6,8]] => 14
[[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => 12
[[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,4,6,7,8,9,10],[3,5]] => 6
[[1,2,3,5,6,7,9,10],[4,8]] => [[1,2,3,4,6,7,8,10],[5,9]] => [[1,2,3,5,6,7,9,10],[4,8]] => [[1,2,4,5,6,8,9,10],[3,7]] => 8
[[1,2,3,5,6,8,9,10],[4,7]] => [[1,2,3,4,6,7,9,10],[5,8]] => [[1,2,3,5,6,8,9,10],[4,7]] => [[1,2,4,5,7,8,9,10],[3,6]] => 7
[[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => 2
[[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,6,7,9],[8,10]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => 12
[[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,9,10],[7,8]] => 6
[[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,5,6,8,9],[7,10]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => 11
[[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => 10
[[1,2,3,4,5,8,9,10],[6,7]] => [[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,8,9,10],[6,7]] => 5
[[1,2,3,4,6,7,9,10],[5,8]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => [[1,2,3,5,6,8,9,10],[4,7]] => 9
[[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,5,7,8,9,10],[4,6]] => 8
[[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,5,6,7,8,9,10],[4]] => 3
[[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => 6
[[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => 5
[[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,6,7,8,9,10],[5]] => 4
[[1,2,3,4,6,9,10,11,12],[5,7,8]] => [[1,2,3,4,5,7,8,11,12],[6,9,10]] => [[1,2,3,4,6,7,10,11,12],[5,8,9]] => [[1,2,3,5,6,9,10,11,12],[4,7,8]] => 9
[[1,2,3,4,7,9,10,11,12],[5,6,8]] => [[1,2,3,4,5,6,8,11,12],[7,9,10]] => [[1,2,3,4,5,7,10,11,12],[6,8,9]] => [[1,2,3,4,6,9,10,11,12],[5,7,8]] => 10
[[1,2,3,4,7,8,9,11,12],[5,6,10]] => [[1,2,3,4,5,6,9,10,12],[7,8,11]] => [[1,2,3,4,5,8,9,11,12],[6,7,10]] => [[1,2,3,4,7,8,10,11,12],[5,6,9]] => 12
[[1,2,3,4,7,8,10,11,12],[5,6,9]] => [[1,2,3,4,5,6,9,11,12],[7,8,10]] => [[1,2,3,4,5,8,10,11,12],[6,7,9]] => [[1,2,3,4,7,9,10,11,12],[5,6,8]] => 11
[[1,2,3,4,7,8,9,10,11,12],[5,6]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => [[1,2,3,4,5,8,9,10,11,12],[6,7]] => [[1,2,3,4,7,8,9,10,11,12],[5,6]] => 4
[[1,2,3,5,6,9,10,11,12],[4,7,8]] => [[1,2,3,4,6,7,8,11,12],[5,9,10]] => [[1,2,3,5,6,7,10,11,12],[4,8,9]] => [[1,2,4,5,6,9,10,11,12],[3,7,8]] => 8
[[1,2,3,5,7,9,11,12],[4,6,8,10]] => [[1,2,3,4,6,8,10,12],[5,7,9,11]] => [[1,2,3,5,7,9,11,12],[4,6,8,10]] => [[1,2,4,6,8,10,11,12],[3,5,7,9]] => 20
[[1,2,3,5,7,9,10,11,12],[4,6,8]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => [[1,2,3,5,7,9,10,11,12],[4,6,8]] => [[1,2,4,6,8,9,10,11,12],[3,5,7]] => 12
[[1,2,3,5,7,8,9,11,12],[4,6,10]] => [[1,2,3,4,6,8,9,10,12],[5,7,11]] => [[1,2,3,5,7,8,9,11,12],[4,6,10]] => [[1,2,4,6,7,8,10,11,12],[3,5,9]] => 14
[[1,2,3,5,7,8,10,11,12],[4,6,9]] => [[1,2,3,4,6,8,9,11,12],[5,7,10]] => [[1,2,3,5,7,8,10,11,12],[4,6,9]] => [[1,2,4,6,7,9,10,11,12],[3,5,8]] => 13
[[1,2,3,5,7,8,9,10,11,12],[4,6]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => [[1,2,3,5,7,8,9,10,11,12],[4,6]] => [[1,2,4,6,7,8,9,10,11,12],[3,5]] => 6
[[1,2,3,5,6,7,9,11,12],[4,8,10]] => [[1,2,3,4,6,7,8,10,12],[5,9,11]] => [[1,2,3,5,6,7,9,11,12],[4,8,10]] => [[1,2,4,5,6,8,10,11,12],[3,7,9]] => 16
[[1,2,3,5,6,8,9,11,12],[4,7,10]] => [[1,2,3,4,6,7,9,10,12],[5,8,11]] => [[1,2,3,5,6,8,9,11,12],[4,7,10]] => [[1,2,4,5,7,8,10,11,12],[3,6,9]] => 15
[[1,2,3,5,6,8,10,11,12],[4,7,9]] => [[1,2,3,4,6,7,9,11,12],[5,8,10]] => [[1,2,3,5,6,8,10,11,12],[4,7,9]] => [[1,2,4,5,7,9,10,11,12],[3,6,8]] => 14
[[1,2,3,5,6,8,9,10,11,12],[4,7]] => [[1,2,3,4,6,7,9,10,11,12],[5,8]] => [[1,2,3,5,6,8,9,10,11,12],[4,7]] => [[1,2,4,5,7,8,9,10,11,12],[3,6]] => 7
[[1,2,3,5,6,7,8,9,11,12],[4,10]] => [[1,2,3,4,6,7,8,9,10,12],[5,11]] => [[1,2,3,5,6,7,8,9,11,12],[4,10]] => [[1,2,4,5,6,7,8,10,11,12],[3,9]] => 10
[[1,2,3,5,6,7,8,10,11,12],[4,9]] => [[1,2,3,4,6,7,8,9,11,12],[5,10]] => [[1,2,3,5,6,7,8,10,11,12],[4,9]] => [[1,2,4,5,6,7,9,10,11,12],[3,8]] => 9
[[1,2,3,5,6,7,9,10,11,12],[4,8]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => [[1,2,3,5,6,7,9,10,11,12],[4,8]] => [[1,2,4,5,6,8,9,10,11,12],[3,7]] => 8
[[1,2,3,5,6,7,8,9,10,11,12],[4]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => [[1,2,3,5,6,7,8,9,10,11,12],[4]] => [[1,2,4,5,6,7,8,9,10,11,12],[3]] => 2
[[1,2,3,4,5,7,9,11,12],[6,8,10]] => [[1,2,3,4,5,6,8,10,12],[7,9,11]] => [[1,2,3,4,5,7,9,11,12],[6,8,10]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => 18
[[1,2,3,4,5,8,9,10,11,12],[6,7]] => [[1,2,3,4,5,6,7,10,11,12],[8,9]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => [[1,2,3,4,5,8,9,10,11,12],[6,7]] => 5
[[1,2,3,4,6,7,9,11,12],[5,8,10]] => [[1,2,3,4,5,7,8,10,12],[6,9,11]] => [[1,2,3,4,6,7,9,11,12],[5,8,10]] => [[1,2,3,5,6,8,10,11,12],[4,7,9]] => 17
[[1,2,3,4,6,8,9,11,12],[5,7,10]] => [[1,2,3,4,5,7,9,10,12],[6,8,11]] => [[1,2,3,4,6,8,9,11,12],[5,7,10]] => [[1,2,3,5,7,8,10,11,12],[4,6,9]] => 16
[[1,2,3,4,6,8,10,11,12],[5,7,9]] => [[1,2,3,4,5,7,9,11,12],[6,8,10]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => [[1,2,3,5,7,9,10,11,12],[4,6,8]] => 15
[[1,2,3,4,6,8,9,10,11,12],[5,7]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => [[1,2,3,5,7,8,9,10,11,12],[4,6]] => 8
[[1,2,3,4,6,7,8,9,11,12],[5,10]] => [[1,2,3,4,5,7,8,9,10,12],[6,11]] => [[1,2,3,4,6,7,8,9,11,12],[5,10]] => [[1,2,3,5,6,7,8,10,11,12],[4,9]] => 11
[[1,2,3,4,6,7,8,10,11,12],[5,9]] => [[1,2,3,4,5,7,8,9,11,12],[6,10]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => [[1,2,3,5,6,7,9,10,11,12],[4,8]] => 10
[[1,2,3,4,6,7,9,10,11,12],[5,8]] => [[1,2,3,4,5,7,8,10,11,12],[6,9]] => [[1,2,3,4,6,7,9,10,11,12],[5,8]] => [[1,2,3,5,6,8,9,10,11,12],[4,7]] => 9
[[1,2,3,4,6,7,8,9,10,11,12],[5]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => [[1,2,3,5,6,7,8,9,10,11,12],[4]] => 3
[[1,2,3,4,5,6,7,9,11,12],[8,10]] => [[1,2,3,4,5,6,7,8,10,12],[9,11]] => [[1,2,3,4,5,6,7,9,11,12],[8,10]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => 14
[[1,2,3,4,5,6,8,9,11,12],[7,10]] => [[1,2,3,4,5,6,7,9,10,12],[8,11]] => [[1,2,3,4,5,6,8,9,11,12],[7,10]] => [[1,2,3,4,5,7,8,10,11,12],[6,9]] => 13
[[1,2,3,4,5,6,8,10,11,12],[7,9]] => [[1,2,3,4,5,6,7,9,11,12],[8,10]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => 12
[[1,2,3,4,5,6,9,10,11,12],[7,8]] => [[1,2,3,4,5,6,7,8,11,12],[9,10]] => [[1,2,3,4,5,6,7,10,11,12],[8,9]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => 6
[[1,2,3,4,5,7,8,9,11,12],[6,10]] => [[1,2,3,4,5,6,8,9,10,12],[7,11]] => [[1,2,3,4,5,7,8,9,11,12],[6,10]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => 12
[[1,2,3,4,5,7,8,10,11,12],[6,9]] => [[1,2,3,4,5,6,8,9,11,12],[7,10]] => [[1,2,3,4,5,7,8,10,11,12],[6,9]] => [[1,2,3,4,6,7,9,10,11,12],[5,8]] => 11
[[1,2,3,4,5,7,9,10,11,12],[6,8]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => 10
[[1,2,3,4,5,7,8,9,10,11,12],[6]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => 4
[[1,2,3,4,5,6,7,8,9,11,12],[10]] => [[1,2,3,4,5,6,7,8,9,10,12],[11]] => [[1,2,3,4,5,6,7,8,9,11,12],[10]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => 8
[[1,2,3,4,5,6,7,8,10,11,12],[9]] => [[1,2,3,4,5,6,7,8,9,11,12],[10]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => 7
[[1,2,3,4,5,6,7,9,10,11,12],[8]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => 6
[[1,2,3,4,5,6,8,9,10,11,12],[7]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => 5
[[1,2,3,7,8],[4,5,6,9]] => [[1,2,3,4,5,6,9],[7,8]] => [[1,2,3,4,5,8,9],[6,7]] => [[1,2,3,4,7,8,9],[5,6]] => 4
[[1,2,7,8],[3,4],[5,6],[9]] => [[1,2,3,4,9],[5,6],[7,8]] => [[1,2,3,8,9],[4,5],[6,7]] => [[1,2,7,8,9],[3,4],[5,6]] => 6
[[1,2,3,4,9],[5,6,7,8],[10]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,9,10],[7,8]] => 6
[[1,2,9],[3,4],[5,6],[7,8],[10]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,2,3,10],[4,5],[6,7],[8,9]] => [[1,2,9,10],[3,4],[5,6],[7,8]] => 12
[[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 15
[[1,2,4,5,6],[3,8,9,10],[7]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,4,7,8,9],[5,6]] => [[1,2,3,4,5,6,9],[7,8]] => [[1,2,3,4,5,8,9],[6,7]] => [[1,2,3,4,7,8,9],[5,6]] => 4
[[1,2,3,4,7,8],[5,6],[9]] => [[1,2,3,4,5,6,9],[7,8]] => [[1,2,3,4,5,8,9],[6,7]] => [[1,2,3,4,7,8,9],[5,6]] => 4
[[1,2,4,5,6,7],[3,9,10],[8]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[1,2,3,4,9,10],[5,6],[7,8]] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,2,3,4,5,10],[6,7],[8,9]] => [[1,2,3,4,9,10],[5,6],[7,8]] => 10
[[1,2,4,5,6,7,8,9],[3],[10]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[1,2,3,4,7,8],[5,6],[9,10]] => [[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,8,9,10],[6,7]] => [[1,2,3,4,7,8,9,10],[5,6]] => 4
[[1,2,3,4,5,6,7,9],[8],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => 6
[[1,2,8],[3,9],[4],[5],[6],[7]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 15
[[1,2,6,9],[3,7],[4,8],[5]] => [[1,2,3,7],[4,8],[5,9],[6]] => [[1,2,6,9],[3,7],[4,8],[5]] => [[1,5,8,9],[2,6],[3,7],[4]] => 17
[[1,2,5,8],[3,6,9],[4,7]] => [[1,2,3,6,9],[4,7],[5,8]] => [[1,2,5,8,9],[3,6],[4,7]] => [[1,4,7,8,9],[2,5],[3,6]] => 12
[[1,2,5,8,9],[3,6],[4,7]] => [[1,2,3,6,9],[4,7],[5,8]] => [[1,2,5,8,9],[3,6],[4,7]] => [[1,4,7,8,9],[2,5],[3,6]] => 12
[[1,2,4,6,8,9],[3,5,7]] => [[1,2,3,5,7,9],[4,6,8]] => [[1,2,4,6,8,9],[3,5,7]] => [[1,3,5,7,8,9],[2,4,6]] => 9
[[1,2,9],[3,10],[4],[5],[6],[7],[8]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,6,10],[3,7],[4,8],[5,9]] => [[1,2,3,7],[4,8],[5,9],[6,10]] => [[1,2,6,10],[3,7],[4,8],[5,9]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => 24
[[1,2,5,8,10],[3,6,9],[4,7]] => [[1,2,3,6,9],[4,7,10],[5,8]] => [[1,2,5,8,10],[3,6,9],[4,7]] => [[1,4,7,9,10],[2,5,8],[3,6]] => 19
[[1,2,4,6,8,9],[3,5,7,10]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => [[1,3,5,7,8,9,10],[2,4,6]] => 9
[[1,2,4,6,7,8,9],[3,5,10]] => [[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,4,6,7,8,9,10],[3,5]] => [[1,3,5,6,7,8,9,10],[2,4]] => 4
[[1,2,4,5,6,7,8,9],[3,10]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[1,2],[3,9],[4],[5],[6],[7],[8]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 15
[[1,2],[3,7],[4,8],[5,9],[6]] => [[1,2,3,7],[4,8],[5,9],[6]] => [[1,2,6,9],[3,7],[4,8],[5]] => [[1,5,8,9],[2,6],[3,7],[4]] => 17
[[1,2],[3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 21
[[1,2,3,5,7],[4,6,9,10],[8]] => [[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,4,6,7,8,9,10],[3,5]] => 6
[[1,2,3,4,5,7],[6,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,6,7,8,9,10],[5]] => 4
[[1,2,3,4,5,6,7],[8,10],[9]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => 6
[[1,2,3,4,6,8],[5,7,9,10]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,5,7,8,9,10],[4,6]] => 8
[[1,2,3,4,5,6,8],[7,9,10]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => 5
[[1,2,5],[3,6,9],[4,7],[8]] => [[1,2,3,6,9],[4,7],[5,8]] => [[1,2,5,8,9],[3,6],[4,7]] => [[1,4,7,8,9],[2,5],[3,6]] => 12
[[1,2,4,6],[3,5,7,9],[8]] => [[1,2,3,5,7,9],[4,6,8]] => [[1,2,4,6,8,9],[3,5,7]] => [[1,3,5,7,8,9],[2,4,6]] => 9
[[1,2,3,4,6,7,9],[5,8,10]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => [[1,2,3,5,6,8,9,10],[4,7]] => 9
[[1,2,3,4,5,6,8,9],[7,10]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => 5
[[1,2,4],[3,5,7],[6,8,9]] => [[1,2,3,5,7,9],[4,6,8]] => [[1,2,4,6,8,9],[3,5,7]] => [[1,3,5,7,8,9],[2,4,6]] => 9
[[1,2,3,4,5,6,8],[7,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => 5
[[1,2,3,4,5,7],[6,8,9,10]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,6,7,8,9,10],[5]] => 4
[[1,2,3,4,5,7],[6,8,10],[9]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => 10
[[1,2,3,4,5,7],[6,9],[8,10]] => [[1,2,3,4,5,6,8,9],[7,10]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => 11
[[1,2,3,4,6],[5,7,8,10],[9]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => [[1,2,3,5,6,8,9,10],[4,7]] => 9
[[1,2,3,4,6],[5,7,9],[8,10]] => [[1,2,3,4,5,7,9],[6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => 15
[[1,2,3,5],[4,6,7,9],[8,10]] => [[1,2,3,4,6,7,9],[5,8,10]] => [[1,2,3,5,6,8,10],[4,7,9]] => [[1,2,4,5,7,9,10],[3,6,8]] => 14
[[1,2,3,5],[4,6,8],[7,9,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => 12
[[1,2,4,5,6,7,8],[3,9,10]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[[1,2,3,5,6,7],[4,8,9,10]] => [[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => 2
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
2,0,2 3,2,0,3,2 3,4,4,2,4,3,4,2 4,5,8,8,7,9,6,8,10,5,4,2 4,6,11,14,20,18,23,17,18,22,20,17,17,13,6,4,2 5,7,14,19,33,39,47,54,52,55,57,54,55,53,52,50,37,32,22,15,6,4,2
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 2 + 2\ q^{2}$
$F_{4} = 3 + 2\ q + 3\ q^{3} + 2\ q^{4}$
$F_{5} = 3 + 4\ q + 4\ q^{2} + 2\ q^{3} + 4\ q^{4} + 3\ q^{5} + 4\ q^{6} + 2\ q^{7}$
$F_{6} = 4 + 5\ q + 8\ q^{2} + 8\ q^{3} + 7\ q^{4} + 9\ q^{5} + 6\ q^{6} + 8\ q^{7} + 10\ q^{8} + 5\ q^{9} + 4\ q^{10} + 2\ q^{11}$
$F_{7} = 4 + 6\ q + 11\ q^{2} + 14\ q^{3} + 20\ q^{4} + 18\ q^{5} + 23\ q^{6} + 17\ q^{7} + 18\ q^{8} + 22\ q^{9} + 20\ q^{10} + 17\ q^{11} + 17\ q^{12} + 13\ q^{13} + 6\ q^{14} + 4\ q^{15} + 2\ q^{16}$
$F_{8} = 5 + 7\ q + 14\ q^{2} + 19\ q^{3} + 33\ q^{4} + 39\ q^{5} + 47\ q^{6} + 54\ q^{7} + 52\ q^{8} + 55\ q^{9} + 57\ q^{10} + 54\ q^{11} + 55\ q^{12} + 53\ q^{13} + 52\ q^{14} + 50\ q^{15} + 37\ q^{16} + 32\ q^{17} + 22\ q^{18} + 15\ q^{19} + 6\ q^{20} + 4\ q^{21} + 2\ q^{22}$
Description
The (standard) major index of a standard tableau.
A descent of a standard tableau $T$ is an index $i$ such that $i+1$ appears in a row strictly below the row of $i$. The (standard) major index is the the sum of the descents.
A descent of a standard tableau $T$ is an index $i$ such that $i+1$ appears in a row strictly below the row of $i$. The (standard) major index is the the sum of the descents.
Map
catabolism
Description
Remove the first row of the standard tableau and insert it back using column Schensted insertion, starting with the largest number.
The algorithm for column-inserting an entry $k$ into tableau $T$ is as follows:
If $k$ is larger than all entries in the first column, place $k$ at the bottom of the first column and the procedure is finished. Otherwise, place $k$ in the first column, replacing the smallest entry, $y$, greater than $k$. Now insert $y$ into the second column using the same procedure: if $y$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place $y$ in the second column, replacing, or 'bumping', the smallest entry, $z$, larger than $y$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column).
The algorithm for column-inserting an entry $k$ into tableau $T$ is as follows:
If $k$ is larger than all entries in the first column, place $k$ at the bottom of the first column and the procedure is finished. Otherwise, place $k$ in the first column, replacing the smallest entry, $y$, greater than $k$. Now insert $y$ into the second column using the same procedure: if $y$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place $y$ in the second column, replacing, or 'bumping', the smallest entry, $z$, larger than $y$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column).
Map
inverse promotion
Description
The inverse promotion of a standard Young tableau.
This map replaces the entry $1$ of the tableau with $n+1$, uses the jeu de taquin to move it to the outer rim, and finally decreases all entries by one.
This map replaces the entry $1$ of the tableau with $n+1$, uses the jeu de taquin to move it to the outer rim, and finally decreases all entries by one.
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