Identifier
Values
[[1]] => [1] => 0
[[1,2]] => [2] => 0
[[1],[2]] => [1,1] => 0
[[1,2,3]] => [3] => 0
[[1,3],[2]] => [1,2] => 1
[[1,2],[3]] => [2,1] => 1
[[1],[2],[3]] => [1,1,1] => 0
[[1,2,3,4]] => [4] => 0
[[1,3,4],[2]] => [1,3] => 2
[[1,2,4],[3]] => [2,2] => 0
[[1,2,3],[4]] => [3,1] => 2
[[1,3],[2,4]] => [1,2,1] => 2
[[1,2],[3,4]] => [2,2] => 0
[[1,4],[2],[3]] => [1,1,2] => 1
[[1,3],[2],[4]] => [1,2,1] => 2
[[1,2],[3],[4]] => [2,1,1] => 1
[[1],[2],[3],[4]] => [1,1,1,1] => 0
[[1,2,3,4,5]] => [5] => 0
[[1,3,4,5],[2]] => [1,4] => 3
[[1,2,4,5],[3]] => [2,3] => 1
[[1,2,3,5],[4]] => [3,2] => 1
[[1,2,3,4],[5]] => [4,1] => 3
[[1,3,5],[2,4]] => [1,2,2] => 1
[[1,2,5],[3,4]] => [2,3] => 1
[[1,3,4],[2,5]] => [1,3,1] => 4
[[1,2,4],[3,5]] => [2,2,1] => 1
[[1,2,3],[4,5]] => [3,2] => 1
[[1,4,5],[2],[3]] => [1,1,3] => 2
[[1,3,5],[2],[4]] => [1,2,2] => 1
[[1,2,5],[3],[4]] => [2,1,2] => 2
[[1,3,4],[2],[5]] => [1,3,1] => 4
[[1,2,4],[3],[5]] => [2,2,1] => 1
[[1,2,3],[4],[5]] => [3,1,1] => 2
[[1,4],[2,5],[3]] => [1,1,2,1] => 2
[[1,3],[2,5],[4]] => [1,2,2] => 1
[[1,2],[3,5],[4]] => [2,1,2] => 2
[[1,3],[2,4],[5]] => [1,2,1,1] => 2
[[1,2],[3,4],[5]] => [2,2,1] => 1
[[1,5],[2],[3],[4]] => [1,1,1,2] => 1
[[1,4],[2],[3],[5]] => [1,1,2,1] => 2
[[1,3],[2],[4],[5]] => [1,2,1,1] => 2
[[1,2],[3],[4],[5]] => [2,1,1,1] => 1
[[1],[2],[3],[4],[5]] => [1,1,1,1,1] => 0
[[1,2,3,4,5,6]] => [6] => 0
[[1,3,4,5,6],[2]] => [1,5] => 4
[[1,2,4,5,6],[3]] => [2,4] => 2
[[1,2,3,5,6],[4]] => [3,3] => 0
[[1,2,3,4,6],[5]] => [4,2] => 2
[[1,2,3,4,5],[6]] => [5,1] => 4
[[1,3,5,6],[2,4]] => [1,2,3] => 2
[[1,2,5,6],[3,4]] => [2,4] => 2
[[1,3,4,6],[2,5]] => [1,3,2] => 3
[[1,2,4,6],[3,5]] => [2,2,2] => 0
[[1,2,3,6],[4,5]] => [3,3] => 0
[[1,3,4,5],[2,6]] => [1,4,1] => 6
[[1,2,4,5],[3,6]] => [2,3,1] => 3
[[1,2,3,5],[4,6]] => [3,2,1] => 2
[[1,2,3,4],[5,6]] => [4,2] => 2
[[1,4,5,6],[2],[3]] => [1,1,4] => 3
[[1,3,5,6],[2],[4]] => [1,2,3] => 2
[[1,2,5,6],[3],[4]] => [2,1,3] => 3
[[1,3,4,6],[2],[5]] => [1,3,2] => 3
[[1,2,4,6],[3],[5]] => [2,2,2] => 0
[[1,2,3,6],[4],[5]] => [3,1,2] => 3
[[1,3,4,5],[2],[6]] => [1,4,1] => 6
[[1,2,4,5],[3],[6]] => [2,3,1] => 3
[[1,2,3,5],[4],[6]] => [3,2,1] => 2
[[1,2,3,4],[5],[6]] => [4,1,1] => 3
[[1,3,5],[2,4,6]] => [1,2,2,1] => 2
[[1,2,5],[3,4,6]] => [2,3,1] => 3
[[1,3,4],[2,5,6]] => [1,3,2] => 3
[[1,2,4],[3,5,6]] => [2,2,2] => 0
[[1,2,3],[4,5,6]] => [3,3] => 0
[[1,4,6],[2,5],[3]] => [1,1,2,2] => 1
[[1,3,6],[2,5],[4]] => [1,2,3] => 2
[[1,2,6],[3,5],[4]] => [2,1,3] => 3
[[1,3,6],[2,4],[5]] => [1,2,1,2] => 3
[[1,2,6],[3,4],[5]] => [2,2,2] => 0
[[1,4,5],[2,6],[3]] => [1,1,3,1] => 4
[[1,3,5],[2,6],[4]] => [1,2,2,1] => 2
[[1,2,5],[3,6],[4]] => [2,1,2,1] => 3
[[1,3,4],[2,6],[5]] => [1,3,2] => 3
[[1,2,4],[3,6],[5]] => [2,2,2] => 0
[[1,2,3],[4,6],[5]] => [3,1,2] => 3
[[1,3,5],[2,4],[6]] => [1,2,2,1] => 2
[[1,2,5],[3,4],[6]] => [2,3,1] => 3
[[1,3,4],[2,5],[6]] => [1,3,1,1] => 4
[[1,2,4],[3,5],[6]] => [2,2,1,1] => 1
[[1,2,3],[4,5],[6]] => [3,2,1] => 2
[[1,5,6],[2],[3],[4]] => [1,1,1,3] => 2
[[1,4,6],[2],[3],[5]] => [1,1,2,2] => 1
[[1,3,6],[2],[4],[5]] => [1,2,1,2] => 3
[[1,2,6],[3],[4],[5]] => [2,1,1,2] => 2
[[1,4,5],[2],[3],[6]] => [1,1,3,1] => 4
[[1,3,5],[2],[4],[6]] => [1,2,2,1] => 2
[[1,2,5],[3],[4],[6]] => [2,1,2,1] => 3
[[1,3,4],[2],[5],[6]] => [1,3,1,1] => 4
[[1,2,4],[3],[5],[6]] => [2,2,1,1] => 1
[[1,2,3],[4],[5],[6]] => [3,1,1,1] => 2
[[1,4],[2,5],[3,6]] => [1,1,2,2] => 1
[[1,3],[2,5],[4,6]] => [1,2,2,1] => 2
>>> Load all 351 entries. <<<
[[1,2],[3,5],[4,6]] => [2,1,2,1] => 3
[[1,3],[2,4],[5,6]] => [1,2,1,2] => 3
[[1,2],[3,4],[5,6]] => [2,2,2] => 0
[[1,5],[2,6],[3],[4]] => [1,1,1,2,1] => 2
[[1,4],[2,6],[3],[5]] => [1,1,2,2] => 1
[[1,3],[2,6],[4],[5]] => [1,2,1,2] => 3
[[1,2],[3,6],[4],[5]] => [2,1,1,2] => 2
[[1,4],[2,5],[3],[6]] => [1,1,2,1,1] => 2
[[1,3],[2,5],[4],[6]] => [1,2,2,1] => 2
[[1,2],[3,5],[4],[6]] => [2,1,2,1] => 3
[[1,3],[2,4],[5],[6]] => [1,2,1,1,1] => 2
[[1,2],[3,4],[5],[6]] => [2,2,1,1] => 1
[[1,6],[2],[3],[4],[5]] => [1,1,1,1,2] => 1
[[1,5],[2],[3],[4],[6]] => [1,1,1,2,1] => 2
[[1,4],[2],[3],[5],[6]] => [1,1,2,1,1] => 2
[[1,3],[2],[4],[5],[6]] => [1,2,1,1,1] => 2
[[1,2],[3],[4],[5],[6]] => [2,1,1,1,1] => 1
[[1],[2],[3],[4],[5],[6]] => [1,1,1,1,1,1] => 0
[[1,2,3,4,5,6,7]] => [7] => 0
[[1,3,4,5,6,7],[2]] => [1,6] => 5
[[1,2,4,5,6,7],[3]] => [2,5] => 3
[[1,2,3,5,6,7],[4]] => [3,4] => 1
[[1,2,3,4,6,7],[5]] => [4,3] => 1
[[1,2,3,4,5,7],[6]] => [5,2] => 3
[[1,2,3,4,5,6],[7]] => [6,1] => 5
[[1,3,5,6,7],[2,4]] => [1,2,4] => 3
[[1,2,5,6,7],[3,4]] => [2,5] => 3
[[1,3,4,6,7],[2,5]] => [1,3,3] => 2
[[1,2,4,6,7],[3,5]] => [2,2,3] => 1
[[1,2,3,6,7],[4,5]] => [3,4] => 1
[[1,3,4,5,7],[2,6]] => [1,4,2] => 5
[[1,2,4,5,7],[3,6]] => [2,3,2] => 2
[[1,2,3,5,7],[4,6]] => [3,2,2] => 1
[[1,2,3,4,7],[5,6]] => [4,3] => 1
[[1,3,4,5,6],[2,7]] => [1,5,1] => 8
[[1,2,4,5,6],[3,7]] => [2,4,1] => 5
[[1,2,3,5,6],[4,7]] => [3,3,1] => 2
[[1,2,3,4,6],[5,7]] => [4,2,1] => 3
[[1,2,3,4,5],[6,7]] => [5,2] => 3
[[1,4,5,6,7],[2],[3]] => [1,1,5] => 4
[[1,3,5,6,7],[2],[4]] => [1,2,4] => 3
[[1,2,5,6,7],[3],[4]] => [2,1,4] => 4
[[1,3,4,6,7],[2],[5]] => [1,3,3] => 2
[[1,2,4,6,7],[3],[5]] => [2,2,3] => 1
[[1,2,3,6,7],[4],[5]] => [3,1,3] => 4
[[1,3,4,5,7],[2],[6]] => [1,4,2] => 5
[[1,2,4,5,7],[3],[6]] => [2,3,2] => 2
[[1,2,3,5,7],[4],[6]] => [3,2,2] => 1
[[1,2,3,4,7],[5],[6]] => [4,1,2] => 4
[[1,3,4,5,6],[2],[7]] => [1,5,1] => 8
[[1,2,4,5,6],[3],[7]] => [2,4,1] => 5
[[1,2,3,5,6],[4],[7]] => [3,3,1] => 2
[[1,2,3,4,6],[5],[7]] => [4,2,1] => 3
[[1,2,3,4,5],[6],[7]] => [5,1,1] => 4
[[1,3,5,7],[2,4,6]] => [1,2,2,2] => 1
[[1,2,5,7],[3,4,6]] => [2,3,2] => 2
[[1,3,4,7],[2,5,6]] => [1,3,3] => 2
[[1,2,4,7],[3,5,6]] => [2,2,3] => 1
[[1,2,3,7],[4,5,6]] => [3,4] => 1
[[1,3,5,6],[2,4,7]] => [1,2,3,1] => 4
[[1,2,5,6],[3,4,7]] => [2,4,1] => 5
[[1,3,4,6],[2,5,7]] => [1,3,2,1] => 4
[[1,2,4,6],[3,5,7]] => [2,2,2,1] => 1
[[1,2,3,6],[4,5,7]] => [3,3,1] => 2
[[1,3,4,5],[2,6,7]] => [1,4,2] => 5
[[1,2,4,5],[3,6,7]] => [2,3,2] => 2
[[1,2,3,5],[4,6,7]] => [3,2,2] => 1
[[1,2,3,4],[5,6,7]] => [4,3] => 1
[[1,4,6,7],[2,5],[3]] => [1,1,2,3] => 2
[[1,3,6,7],[2,5],[4]] => [1,2,4] => 3
[[1,2,6,7],[3,5],[4]] => [2,1,4] => 4
[[1,3,6,7],[2,4],[5]] => [1,2,1,3] => 4
[[1,2,6,7],[3,4],[5]] => [2,2,3] => 1
[[1,4,5,7],[2,6],[3]] => [1,1,3,2] => 3
[[1,3,5,7],[2,6],[4]] => [1,2,2,2] => 1
[[1,2,5,7],[3,6],[4]] => [2,1,2,2] => 2
[[1,3,4,7],[2,6],[5]] => [1,3,3] => 2
[[1,2,4,7],[3,6],[5]] => [2,2,3] => 1
[[1,2,3,7],[4,6],[5]] => [3,1,3] => 4
[[1,3,5,7],[2,4],[6]] => [1,2,2,2] => 1
[[1,2,5,7],[3,4],[6]] => [2,3,2] => 2
[[1,3,4,7],[2,5],[6]] => [1,3,1,2] => 5
[[1,2,4,7],[3,5],[6]] => [2,2,1,2] => 2
[[1,2,3,7],[4,5],[6]] => [3,2,2] => 1
[[1,4,5,6],[2,7],[3]] => [1,1,4,1] => 6
[[1,3,5,6],[2,7],[4]] => [1,2,3,1] => 4
[[1,2,5,6],[3,7],[4]] => [2,1,3,1] => 5
[[1,3,4,6],[2,7],[5]] => [1,3,2,1] => 4
[[1,2,4,6],[3,7],[5]] => [2,2,2,1] => 1
[[1,2,3,6],[4,7],[5]] => [3,1,2,1] => 4
[[1,3,4,5],[2,7],[6]] => [1,4,2] => 5
[[1,2,4,5],[3,7],[6]] => [2,3,2] => 2
[[1,2,3,5],[4,7],[6]] => [3,2,2] => 1
[[1,2,3,4],[5,7],[6]] => [4,1,2] => 4
[[1,3,5,6],[2,4],[7]] => [1,2,3,1] => 4
[[1,2,5,6],[3,4],[7]] => [2,4,1] => 5
[[1,3,4,6],[2,5],[7]] => [1,3,2,1] => 4
[[1,2,4,6],[3,5],[7]] => [2,2,2,1] => 1
[[1,2,3,6],[4,5],[7]] => [3,3,1] => 2
[[1,3,4,5],[2,6],[7]] => [1,4,1,1] => 6
[[1,2,4,5],[3,6],[7]] => [2,3,1,1] => 3
[[1,2,3,5],[4,6],[7]] => [3,2,1,1] => 2
[[1,2,3,4],[5,6],[7]] => [4,2,1] => 3
[[1,5,6,7],[2],[3],[4]] => [1,1,1,4] => 3
[[1,4,6,7],[2],[3],[5]] => [1,1,2,3] => 2
[[1,3,6,7],[2],[4],[5]] => [1,2,1,3] => 4
[[1,2,6,7],[3],[4],[5]] => [2,1,1,3] => 3
[[1,4,5,7],[2],[3],[6]] => [1,1,3,2] => 3
[[1,3,5,7],[2],[4],[6]] => [1,2,2,2] => 1
[[1,2,5,7],[3],[4],[6]] => [2,1,2,2] => 2
[[1,3,4,7],[2],[5],[6]] => [1,3,1,2] => 5
[[1,2,4,7],[3],[5],[6]] => [2,2,1,2] => 2
[[1,2,3,7],[4],[5],[6]] => [3,1,1,2] => 3
[[1,4,5,6],[2],[3],[7]] => [1,1,4,1] => 6
[[1,3,5,6],[2],[4],[7]] => [1,2,3,1] => 4
[[1,2,5,6],[3],[4],[7]] => [2,1,3,1] => 5
[[1,3,4,6],[2],[5],[7]] => [1,3,2,1] => 4
[[1,2,4,6],[3],[5],[7]] => [2,2,2,1] => 1
[[1,2,3,6],[4],[5],[7]] => [3,1,2,1] => 4
[[1,3,4,5],[2],[6],[7]] => [1,4,1,1] => 6
[[1,2,4,5],[3],[6],[7]] => [2,3,1,1] => 3
[[1,2,3,5],[4],[6],[7]] => [3,2,1,1] => 2
[[1,2,3,4],[5],[6],[7]] => [4,1,1,1] => 3
[[1,4,6],[2,5,7],[3]] => [1,1,2,2,1] => 2
[[1,3,6],[2,5,7],[4]] => [1,2,3,1] => 4
[[1,2,6],[3,5,7],[4]] => [2,1,3,1] => 5
[[1,3,6],[2,4,7],[5]] => [1,2,1,2,1] => 4
[[1,2,6],[3,4,7],[5]] => [2,2,2,1] => 1
[[1,4,5],[2,6,7],[3]] => [1,1,3,2] => 3
[[1,3,5],[2,6,7],[4]] => [1,2,2,2] => 1
[[1,2,5],[3,6,7],[4]] => [2,1,2,2] => 2
[[1,3,4],[2,6,7],[5]] => [1,3,3] => 2
[[1,2,4],[3,6,7],[5]] => [2,2,3] => 1
[[1,2,3],[4,6,7],[5]] => [3,1,3] => 4
[[1,3,5],[2,4,7],[6]] => [1,2,2,2] => 1
[[1,2,5],[3,4,7],[6]] => [2,3,2] => 2
[[1,3,4],[2,5,7],[6]] => [1,3,1,2] => 5
[[1,2,4],[3,5,7],[6]] => [2,2,1,2] => 2
[[1,2,3],[4,5,7],[6]] => [3,2,2] => 1
[[1,3,5],[2,4,6],[7]] => [1,2,2,1,1] => 2
[[1,2,5],[3,4,6],[7]] => [2,3,1,1] => 3
[[1,3,4],[2,5,6],[7]] => [1,3,2,1] => 4
[[1,2,4],[3,5,6],[7]] => [2,2,2,1] => 1
[[1,2,3],[4,5,6],[7]] => [3,3,1] => 2
[[1,4,7],[2,5],[3,6]] => [1,1,2,3] => 2
[[1,3,7],[2,5],[4,6]] => [1,2,2,2] => 1
[[1,2,7],[3,5],[4,6]] => [2,1,2,2] => 2
[[1,3,7],[2,4],[5,6]] => [1,2,1,3] => 4
[[1,2,7],[3,4],[5,6]] => [2,2,3] => 1
[[1,4,6],[2,5],[3,7]] => [1,1,2,2,1] => 2
[[1,3,6],[2,5],[4,7]] => [1,2,3,1] => 4
[[1,2,6],[3,5],[4,7]] => [2,1,3,1] => 5
[[1,3,6],[2,4],[5,7]] => [1,2,1,2,1] => 4
[[1,2,6],[3,4],[5,7]] => [2,2,2,1] => 1
[[1,4,5],[2,6],[3,7]] => [1,1,3,2] => 3
[[1,3,5],[2,6],[4,7]] => [1,2,2,2] => 1
[[1,2,5],[3,6],[4,7]] => [2,1,2,2] => 2
[[1,3,4],[2,6],[5,7]] => [1,3,2,1] => 4
[[1,2,4],[3,6],[5,7]] => [2,2,2,1] => 1
[[1,2,3],[4,6],[5,7]] => [3,1,2,1] => 4
[[1,3,5],[2,4],[6,7]] => [1,2,2,2] => 1
[[1,2,5],[3,4],[6,7]] => [2,3,2] => 2
[[1,3,4],[2,5],[6,7]] => [1,3,1,2] => 5
[[1,2,4],[3,5],[6,7]] => [2,2,1,2] => 2
[[1,2,3],[4,5],[6,7]] => [3,2,2] => 1
[[1,5,7],[2,6],[3],[4]] => [1,1,1,2,2] => 1
[[1,4,7],[2,6],[3],[5]] => [1,1,2,3] => 2
[[1,3,7],[2,6],[4],[5]] => [1,2,1,3] => 4
[[1,2,7],[3,6],[4],[5]] => [2,1,1,3] => 3
[[1,4,7],[2,5],[3],[6]] => [1,1,2,1,2] => 3
[[1,3,7],[2,5],[4],[6]] => [1,2,2,2] => 1
[[1,2,7],[3,5],[4],[6]] => [2,1,2,2] => 2
[[1,3,7],[2,4],[5],[6]] => [1,2,1,1,2] => 3
[[1,2,7],[3,4],[5],[6]] => [2,2,1,2] => 2
[[1,5,6],[2,7],[3],[4]] => [1,1,1,3,1] => 4
[[1,4,6],[2,7],[3],[5]] => [1,1,2,2,1] => 2
[[1,3,6],[2,7],[4],[5]] => [1,2,1,2,1] => 4
[[1,2,6],[3,7],[4],[5]] => [2,1,1,2,1] => 3
[[1,4,5],[2,7],[3],[6]] => [1,1,3,2] => 3
[[1,3,5],[2,7],[4],[6]] => [1,2,2,2] => 1
[[1,2,5],[3,7],[4],[6]] => [2,1,2,2] => 2
[[1,3,4],[2,7],[5],[6]] => [1,3,1,2] => 5
[[1,2,4],[3,7],[5],[6]] => [2,2,1,2] => 2
[[1,2,3],[4,7],[5],[6]] => [3,1,1,2] => 3
[[1,4,6],[2,5],[3],[7]] => [1,1,2,2,1] => 2
[[1,3,6],[2,5],[4],[7]] => [1,2,3,1] => 4
[[1,2,6],[3,5],[4],[7]] => [2,1,3,1] => 5
[[1,3,6],[2,4],[5],[7]] => [1,2,1,2,1] => 4
[[1,2,6],[3,4],[5],[7]] => [2,2,2,1] => 1
[[1,4,5],[2,6],[3],[7]] => [1,1,3,1,1] => 4
[[1,3,5],[2,6],[4],[7]] => [1,2,2,1,1] => 2
[[1,2,5],[3,6],[4],[7]] => [2,1,2,1,1] => 3
[[1,3,4],[2,6],[5],[7]] => [1,3,2,1] => 4
[[1,2,4],[3,6],[5],[7]] => [2,2,2,1] => 1
[[1,2,3],[4,6],[5],[7]] => [3,1,2,1] => 4
[[1,3,5],[2,4],[6],[7]] => [1,2,2,1,1] => 2
[[1,2,5],[3,4],[6],[7]] => [2,3,1,1] => 3
[[1,3,4],[2,5],[6],[7]] => [1,3,1,1,1] => 4
[[1,2,4],[3,5],[6],[7]] => [2,2,1,1,1] => 1
[[1,2,3],[4,5],[6],[7]] => [3,2,1,1] => 2
[[1,6,7],[2],[3],[4],[5]] => [1,1,1,1,3] => 2
[[1,5,7],[2],[3],[4],[6]] => [1,1,1,2,2] => 1
[[1,4,7],[2],[3],[5],[6]] => [1,1,2,1,2] => 3
[[1,3,7],[2],[4],[5],[6]] => [1,2,1,1,2] => 3
[[1,2,7],[3],[4],[5],[6]] => [2,1,1,1,2] => 2
[[1,5,6],[2],[3],[4],[7]] => [1,1,1,3,1] => 4
[[1,4,6],[2],[3],[5],[7]] => [1,1,2,2,1] => 2
[[1,3,6],[2],[4],[5],[7]] => [1,2,1,2,1] => 4
[[1,2,6],[3],[4],[5],[7]] => [2,1,1,2,1] => 3
[[1,4,5],[2],[3],[6],[7]] => [1,1,3,1,1] => 4
[[1,3,5],[2],[4],[6],[7]] => [1,2,2,1,1] => 2
[[1,2,5],[3],[4],[6],[7]] => [2,1,2,1,1] => 3
[[1,3,4],[2],[5],[6],[7]] => [1,3,1,1,1] => 4
[[1,2,4],[3],[5],[6],[7]] => [2,2,1,1,1] => 1
[[1,2,3],[4],[5],[6],[7]] => [3,1,1,1,1] => 2
[[1,5],[2,6],[3,7],[4]] => [1,1,1,2,2] => 1
[[1,4],[2,6],[3,7],[5]] => [1,1,2,2,1] => 2
[[1,3],[2,6],[4,7],[5]] => [1,2,1,2,1] => 4
[[1,2],[3,6],[4,7],[5]] => [2,1,1,2,1] => 3
[[1,4],[2,5],[3,7],[6]] => [1,1,2,1,2] => 3
[[1,3],[2,5],[4,7],[6]] => [1,2,2,2] => 1
[[1,2],[3,5],[4,7],[6]] => [2,1,2,2] => 2
[[1,3],[2,4],[5,7],[6]] => [1,2,1,1,2] => 3
[[1,2],[3,4],[5,7],[6]] => [2,2,1,2] => 2
[[1,4],[2,5],[3,6],[7]] => [1,1,2,2,1] => 2
[[1,3],[2,5],[4,6],[7]] => [1,2,2,1,1] => 2
[[1,2],[3,5],[4,6],[7]] => [2,1,2,1,1] => 3
[[1,3],[2,4],[5,6],[7]] => [1,2,1,2,1] => 4
[[1,2],[3,4],[5,6],[7]] => [2,2,2,1] => 1
[[1,6],[2,7],[3],[4],[5]] => [1,1,1,1,2,1] => 2
[[1,5],[2,7],[3],[4],[6]] => [1,1,1,2,2] => 1
[[1,4],[2,7],[3],[5],[6]] => [1,1,2,1,2] => 3
[[1,3],[2,7],[4],[5],[6]] => [1,2,1,1,2] => 3
[[1,2],[3,7],[4],[5],[6]] => [2,1,1,1,2] => 2
[[1,5],[2,6],[3],[4],[7]] => [1,1,1,2,1,1] => 2
[[1,4],[2,6],[3],[5],[7]] => [1,1,2,2,1] => 2
[[1,3],[2,6],[4],[5],[7]] => [1,2,1,2,1] => 4
[[1,2],[3,6],[4],[5],[7]] => [2,1,1,2,1] => 3
[[1,4],[2,5],[3],[6],[7]] => [1,1,2,1,1,1] => 2
[[1,3],[2,5],[4],[6],[7]] => [1,2,2,1,1] => 2
[[1,2],[3,5],[4],[6],[7]] => [2,1,2,1,1] => 3
[[1,3],[2,4],[5],[6],[7]] => [1,2,1,1,1,1] => 2
[[1,2],[3,4],[5],[6],[7]] => [2,2,1,1,1] => 1
[[1,7],[2],[3],[4],[5],[6]] => [1,1,1,1,1,2] => 1
[[1,6],[2],[3],[4],[5],[7]] => [1,1,1,1,2,1] => 2
[[1,5],[2],[3],[4],[6],[7]] => [1,1,1,2,1,1] => 2
[[1,4],[2],[3],[5],[6],[7]] => [1,1,2,1,1,1] => 2
[[1,3],[2],[4],[5],[6],[7]] => [1,2,1,1,1,1] => 2
[[1,2],[3],[4],[5],[6],[7]] => [2,1,1,1,1,1] => 1
[[1],[2],[3],[4],[5],[6],[7]] => [1,1,1,1,1,1,1] => 0
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Description
The absolute variation of a composition.
Map
horizontal strip sizes
Description
The composition of horizontal strip sizes.
We associate to a standard Young tableau $T$ the composition $(c_1,\dots,c_k)$, such that $k$ is minimal and the numbers $c_1+\dots+c_i + 1,\dots,c_1+\dots+c_{i+1}$ form a horizontal strip in $T$ for all $i$.