Identifier
Values
[[1]] => [1] => [1,0,1,0] => [[1,1],[]] => 1
[[1,2]] => [2] => [1,1,0,0,1,0] => [[2,2],[1]] => 1
[[1],[2]] => [1,1] => [1,0,1,1,0,0] => [[2,1],[]] => 1
[[1,2,3]] => [3] => [1,1,1,0,0,0,1,0] => [[2,2,2],[1]] => 1
[[1,3],[2]] => [2,1] => [1,0,1,0,1,0] => [[1,1,1],[]] => 1
[[1,2],[3]] => [2,1] => [1,0,1,0,1,0] => [[1,1,1],[]] => 1
[[1],[2],[3]] => [1,1,1] => [1,0,1,1,1,0,0,0] => [[2,2,1],[]] => 1
[[1,3,4],[2]] => [3,1] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => 1
[[1,2,4],[3]] => [3,1] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => 1
[[1,2,3],[4]] => [3,1] => [1,1,0,1,0,0,1,0] => [[3,3],[2]] => 1
[[1,3],[2,4]] => [2,2] => [1,1,0,0,1,1,0,0] => [[3,2],[1]] => 1
[[1,2],[3,4]] => [2,2] => [1,1,0,0,1,1,0,0] => [[3,2],[1]] => 1
[[1,4],[2],[3]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[3,1],[]] => 1
[[1,3],[2],[4]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[3,1],[]] => 1
[[1,2],[3],[4]] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[3,1],[]] => 1
[[1,3,5],[2,4]] => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
[[1,2,5],[3,4]] => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
[[1,3,4],[2,5]] => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
[[1,2,4],[3,5]] => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
[[1,2,3],[4,5]] => [3,2] => [1,1,0,0,1,0,1,0] => [[2,2,2],[1,1]] => 1
[[1,4,5],[2],[3]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
[[1,3,5],[2],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
[[1,2,5],[3],[4]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
[[1,3,4],[2],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
[[1,2,4],[3],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
[[1,2,3],[4],[5]] => [3,1,1] => [1,0,1,1,0,0,1,0] => [[2,2,1],[1]] => 1
[[1,4],[2,5],[3]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
[[1,3],[2,5],[4]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
[[1,2],[3,5],[4]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
[[1,3],[2,4],[5]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
[[1,2],[3,4],[5]] => [2,2,1] => [1,0,1,0,1,1,0,0] => [[2,1,1],[]] => 1
[[1,4,6],[2,5],[3]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,3,6],[2,5],[4]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,2,6],[3,5],[4]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,3,6],[2,4],[5]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,2,6],[3,4],[5]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,4,5],[2,6],[3]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,3,5],[2,6],[4]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,2,5],[3,6],[4]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,3,4],[2,6],[5]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,2,4],[3,6],[5]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,2,3],[4,6],[5]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,3,5],[2,4],[6]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,2,5],[3,4],[6]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,3,4],[2,5],[6]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,2,4],[3,5],[6]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,2,3],[4,5],[6]] => [3,2,1] => [1,0,1,0,1,0,1,0] => [[1,1,1,1],[]] => 1
[[1,4,6,7],[2,5],[3]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,6,7],[2,5],[4]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,6,7],[3,5],[4]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,6,7],[2,4],[5]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,6,7],[3,4],[5]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,4,5,7],[2,6],[3]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,5,7],[2,6],[4]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,5,7],[3,6],[4]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,4,7],[2,6],[5]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,4,7],[3,6],[5]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,3,7],[4,6],[5]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,5,7],[2,4],[6]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,5,7],[3,4],[6]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,4,7],[2,5],[6]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,4,7],[3,5],[6]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,3,7],[4,5],[6]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,4,5,6],[2,7],[3]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,5,6],[2,7],[4]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,5,6],[3,7],[4]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,4,6],[2,7],[5]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,4,6],[3,7],[5]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,3,6],[4,7],[5]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,4,5],[2,7],[6]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,4,5],[3,7],[6]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,3,5],[4,7],[6]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,3,4],[5,7],[6]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,5,6],[2,4],[7]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,5,6],[3,4],[7]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,4,6],[2,5],[7]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,4,6],[3,5],[7]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,3,6],[4,5],[7]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,3,4,5],[2,6],[7]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,4,5],[3,6],[7]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,3,5],[4,6],[7]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,2,3,4],[5,6],[7]] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [[4,4],[3]] => 1
[[1,4,6],[2,5,7],[3]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,3,6],[2,5,7],[4]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,6],[3,5,7],[4]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,3,6],[2,4,7],[5]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,6],[3,4,7],[5]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,4,5],[2,6,7],[3]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,3,5],[2,6,7],[4]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,5],[3,6,7],[4]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,3,4],[2,6,7],[5]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,4],[3,6,7],[5]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,3],[4,6,7],[5]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,3,5],[2,4,7],[6]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,5],[3,4,7],[6]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,3,4],[2,5,7],[6]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,4],[3,5,7],[6]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,3],[4,5,7],[6]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,3,5],[2,4,6],[7]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,5],[3,4,6],[7]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,3,4],[2,5,6],[7]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
>>> Load all 564 entries. <<<
[[1,2,4],[3,5,6],[7]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,2,3],[4,5,6],[7]] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [[4,3],[2]] => 1
[[1,4,7],[2,5],[3,6]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,3,7],[2,5],[4,6]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,7],[3,5],[4,6]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,3,7],[2,4],[5,6]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,7],[3,4],[5,6]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,4,6],[2,5],[3,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,3,6],[2,5],[4,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,6],[3,5],[4,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,3,6],[2,4],[5,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,6],[3,4],[5,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,4,5],[2,6],[3,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,3,5],[2,6],[4,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,5],[3,6],[4,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,3,4],[2,6],[5,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,4],[3,6],[5,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,3],[4,6],[5,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,3,5],[2,4],[6,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,5],[3,4],[6,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,3,4],[2,5],[6,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,4],[3,5],[6,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,2,3],[4,5],[6,7]] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [[4,2],[1]] => 1
[[1,5,7],[2,6],[3],[4]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,4,7],[2,6],[3],[5]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,7],[2,6],[4],[5]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,7],[3,6],[4],[5]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,4,7],[2,5],[3],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,7],[2,5],[4],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,7],[3,5],[4],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,7],[2,4],[5],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,7],[3,4],[5],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,5,6],[2,7],[3],[4]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,4,6],[2,7],[3],[5]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,6],[2,7],[4],[5]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,6],[3,7],[4],[5]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,4,5],[2,7],[3],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,5],[2,7],[4],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,5],[3,7],[4],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,4],[2,7],[5],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,4],[3,7],[5],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,3],[4,7],[5],[6]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,4,6],[2,5],[3],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,6],[2,5],[4],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,6],[3,5],[4],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,6],[2,4],[5],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,6],[3,4],[5],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,4,5],[2,6],[3],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,5],[2,6],[4],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,5],[3,6],[4],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,4],[2,6],[5],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,4],[3,6],[5],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,3],[4,6],[5],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,5],[2,4],[6],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,5],[3,4],[6],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,3,4],[2,5],[6],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,4],[3,5],[6],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,2,3],[4,5],[6],[7]] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[4,1],[]] => 1
[[1,4,6,8],[2,5,7],[3]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,6,8],[2,5,7],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,6,8],[3,5,7],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,6,8],[2,4,7],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,6,8],[3,4,7],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,4,5,8],[2,6,7],[3]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,5,8],[2,6,7],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,5,8],[3,6,7],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,8],[2,6,7],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,8],[3,6,7],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,8],[4,6,7],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,5,8],[2,4,7],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,5,8],[3,4,7],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,8],[2,5,7],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,8],[3,5,7],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,8],[4,5,7],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,5,8],[2,4,6],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,5,8],[3,4,6],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,8],[2,5,6],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,8],[3,5,6],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,8],[4,5,6],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,4,6,7],[2,5,8],[3]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,6,7],[2,5,8],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,6,7],[3,5,8],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,6,7],[2,4,8],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,6,7],[3,4,8],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,4,5,7],[2,6,8],[3]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,5,7],[2,6,8],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,5,7],[3,6,8],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,7],[2,6,8],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,7],[3,6,8],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,7],[4,6,8],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,5,7],[2,4,8],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,5,7],[3,4,8],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,7],[2,5,8],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,7],[3,5,8],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,7],[4,5,8],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,4,5,6],[2,7,8],[3]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,5,6],[2,7,8],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,5,6],[3,7,8],[4]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,6],[2,7,8],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,6],[3,7,8],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,6],[4,7,8],[5]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,5],[2,7,8],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,5],[3,7,8],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,5],[4,7,8],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,4],[5,7,8],[6]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,5,6],[2,4,8],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,5,6],[3,4,8],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,6],[2,5,8],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,6],[3,5,8],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,6],[4,5,8],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,5],[2,6,8],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,5],[3,6,8],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,5],[4,6,8],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,4],[5,6,8],[7]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,5,7],[2,4,6],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,5,7],[3,4,6],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,7],[2,5,6],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,7],[3,5,6],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,7],[4,5,6],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,5,6],[2,4,7],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,5,6],[3,4,7],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,6],[2,5,7],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,6],[3,5,7],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,6],[4,5,7],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,3,4,5],[2,6,7],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,4,5],[3,6,7],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,5],[4,6,7],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,2,3,4],[5,6,7],[8]] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [[3,3,3],[2,2]] => 1
[[1,4,7,8],[2,5],[3,6]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,7,8],[2,5],[4,6]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,7,8],[3,5],[4,6]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,7,8],[2,4],[5,6]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,7,8],[3,4],[5,6]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,4,6,8],[2,5],[3,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,6,8],[2,5],[4,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,6,8],[3,5],[4,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,6,8],[2,4],[5,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,6,8],[3,4],[5,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,4,5,8],[2,6],[3,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,5,8],[2,6],[4,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,5,8],[3,6],[4,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,4,8],[2,6],[5,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,4,8],[3,6],[5,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,8],[4,6],[5,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,5,8],[2,4],[6,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,5,8],[3,4],[6,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,4,8],[2,5],[6,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,4,8],[3,5],[6,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,8],[4,5],[6,7]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,4,6,7],[2,5],[3,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,6,7],[2,5],[4,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,6,7],[3,5],[4,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,6,7],[2,4],[5,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,6,7],[3,4],[5,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,4,5,7],[2,6],[3,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,5,7],[2,6],[4,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,5,7],[3,6],[4,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,4,7],[2,6],[5,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,4,7],[3,6],[5,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,7],[4,6],[5,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,5,7],[2,4],[6,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,5,7],[3,4],[6,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,4,7],[2,5],[6,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,4,7],[3,5],[6,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,7],[4,5],[6,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,4,5,6],[2,7],[3,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,5,6],[2,7],[4,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,5,6],[3,7],[4,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,4,6],[2,7],[5,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,4,6],[3,7],[5,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,6],[4,7],[5,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,4,5],[2,7],[6,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,4,5],[3,7],[6,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,5],[4,7],[6,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,4],[5,7],[6,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,5,6],[2,4],[7,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,5,6],[3,4],[7,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,4,6],[2,5],[7,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,4,6],[3,5],[7,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,6],[4,5],[7,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,3,4,5],[2,6],[7,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,4,5],[3,6],[7,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,5],[4,6],[7,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,2,3,4],[5,6],[7,8]] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [[3,3,2],[2,1]] => 1
[[1,5,7,8],[2,6],[3],[4]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,7,8],[2,6],[3],[5]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,7,8],[2,6],[4],[5]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,7,8],[3,6],[4],[5]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,7,8],[2,5],[3],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,7,8],[2,5],[4],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,7,8],[3,5],[4],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,7,8],[2,4],[5],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,7,8],[3,4],[5],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,5,6,8],[2,7],[3],[4]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,6,8],[2,7],[3],[5]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,6,8],[2,7],[4],[5]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,6,8],[3,7],[4],[5]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,5,8],[2,7],[3],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,5,8],[2,7],[4],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,5,8],[3,7],[4],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,8],[2,7],[5],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,8],[3,7],[5],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,8],[4,7],[5],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,6,8],[2,5],[3],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,6,8],[2,5],[4],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,6,8],[3,5],[4],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,6,8],[2,4],[5],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,6,8],[3,4],[5],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,5,8],[2,6],[3],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,5,8],[2,6],[4],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,5,8],[3,6],[4],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,8],[2,6],[5],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,8],[3,6],[5],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,8],[4,6],[5],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,5,8],[2,4],[6],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,5,8],[3,4],[6],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,8],[2,5],[6],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,8],[3,5],[6],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,8],[4,5],[6],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,5,6,7],[2,8],[3],[4]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,6,7],[2,8],[3],[5]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,6,7],[2,8],[4],[5]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,6,7],[3,8],[4],[5]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,5,7],[2,8],[3],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,5,7],[2,8],[4],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,5,7],[3,8],[4],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,7],[2,8],[5],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,7],[3,8],[5],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,7],[4,8],[5],[6]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,5,6],[2,8],[3],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,5,6],[2,8],[4],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,5,6],[3,8],[4],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,6],[2,8],[5],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,6],[3,8],[5],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,6],[4,8],[5],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,5],[2,8],[6],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,5],[3,8],[6],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,5],[4,8],[6],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,4],[5,8],[6],[7]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,6,7],[2,5],[3],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,6,7],[2,5],[4],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,6,7],[3,5],[4],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,6,7],[2,4],[5],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,6,7],[3,4],[5],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,5,7],[2,6],[3],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,5,7],[2,6],[4],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,5,7],[3,6],[4],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,7],[2,6],[5],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,7],[3,6],[5],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,7],[4,6],[5],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,5,7],[2,4],[6],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,5,7],[3,4],[6],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,7],[2,5],[6],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,7],[3,5],[6],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,7],[4,5],[6],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,5,6],[2,7],[3],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,5,6],[2,7],[4],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,5,6],[3,7],[4],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,6],[2,7],[5],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,6],[3,7],[5],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,6],[4,7],[5],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,5],[2,7],[6],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,5],[3,7],[6],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,5],[4,7],[6],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,4],[5,7],[6],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,5,6],[2,4],[7],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,5,6],[3,4],[7],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,6],[2,5],[7],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,6],[3,5],[7],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,6],[4,5],[7],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,3,4,5],[2,6],[7],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,4,5],[3,6],[7],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,5],[4,6],[7],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,2,3,4],[5,6],[7],[8]] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [[3,3,1],[2]] => 1
[[1,4,7],[2,5,8],[3,6]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,7],[2,5,8],[4,6]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,7],[3,5,8],[4,6]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,7],[2,4,8],[5,6]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,7],[3,4,8],[5,6]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,4,6],[2,5,8],[3,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,6],[2,5,8],[4,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,6],[3,5,8],[4,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,6],[2,4,8],[5,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,6],[3,4,8],[5,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,4,5],[2,6,8],[3,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,5],[2,6,8],[4,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,5],[3,6,8],[4,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,4],[2,6,8],[5,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,4],[3,6,8],[5,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,3],[4,6,8],[5,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,5],[2,4,8],[6,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,5],[3,4,8],[6,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,4],[2,5,8],[6,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,4],[3,5,8],[6,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,3],[4,5,8],[6,7]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,4,6],[2,5,7],[3,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,6],[2,5,7],[4,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,6],[3,5,7],[4,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,6],[2,4,7],[5,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,6],[3,4,7],[5,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,4,5],[2,6,7],[3,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,5],[2,6,7],[4,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,5],[3,6,7],[4,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,4],[2,6,7],[5,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,4],[3,6,7],[5,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,3],[4,6,7],[5,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,5],[2,4,7],[6,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,5],[3,4,7],[6,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,4],[2,5,7],[6,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,4],[3,5,7],[6,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,3],[4,5,7],[6,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,5],[2,4,6],[7,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,5],[3,4,6],[7,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,3,4],[2,5,6],[7,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,4],[3,5,6],[7,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,2,3],[4,5,6],[7,8]] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [[3,2,2],[1,1]] => 1
[[1,5,7],[2,6,8],[3],[4]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,4,7],[2,6,8],[3],[5]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,7],[2,6,8],[4],[5]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,7],[3,6,8],[4],[5]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,4,7],[2,5,8],[3],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,7],[2,5,8],[4],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,7],[3,5,8],[4],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,7],[2,4,8],[5],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,7],[3,4,8],[5],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,5,6],[2,7,8],[3],[4]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,4,6],[2,7,8],[3],[5]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,6],[2,7,8],[4],[5]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,6],[3,7,8],[4],[5]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,4,5],[2,7,8],[3],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,5],[2,7,8],[4],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,5],[3,7,8],[4],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,4],[2,7,8],[5],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,4],[3,7,8],[5],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,3],[4,7,8],[5],[6]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,4,6],[2,5,8],[3],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,6],[2,5,8],[4],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,6],[3,5,8],[4],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,6],[2,4,8],[5],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,6],[3,4,8],[5],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,4,5],[2,6,8],[3],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,5],[2,6,8],[4],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,5],[3,6,8],[4],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,4],[2,6,8],[5],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,4],[3,6,8],[5],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,3],[4,6,8],[5],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,5],[2,4,8],[6],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,5],[3,4,8],[6],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,4],[2,5,8],[6],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,4],[3,5,8],[6],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,3],[4,5,8],[6],[7]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,4,6],[2,5,7],[3],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,6],[2,5,7],[4],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,6],[3,5,7],[4],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,6],[2,4,7],[5],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,6],[3,4,7],[5],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,4,5],[2,6,7],[3],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,5],[2,6,7],[4],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,5],[3,6,7],[4],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,4],[2,6,7],[5],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,4],[3,6,7],[5],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,3],[4,6,7],[5],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,5],[2,4,7],[6],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,5],[3,4,7],[6],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,4],[2,5,7],[6],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,4],[3,5,7],[6],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,3],[4,5,7],[6],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,5],[2,4,6],[7],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,5],[3,4,6],[7],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,3,4],[2,5,6],[7],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,4],[3,5,6],[7],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,2,3],[4,5,6],[7],[8]] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [[3,2,1],[1]] => 1
[[1,5,8],[2,6],[3,7],[4]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,8],[2,6],[3,7],[5]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,8],[2,6],[4,7],[5]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,8],[3,6],[4,7],[5]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,8],[2,5],[3,7],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,8],[2,5],[4,7],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,8],[3,5],[4,7],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,8],[2,4],[5,7],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,8],[3,4],[5,7],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,8],[2,5],[3,6],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,8],[2,5],[4,6],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,8],[3,5],[4,6],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,8],[2,4],[5,6],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,8],[3,4],[5,6],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,5,7],[2,6],[3,8],[4]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,7],[2,6],[3,8],[5]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,7],[2,6],[4,8],[5]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,7],[3,6],[4,8],[5]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,7],[2,5],[3,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,7],[2,5],[4,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,7],[3,5],[4,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,7],[2,4],[5,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,7],[3,4],[5,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,5,6],[2,7],[3,8],[4]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,6],[2,7],[3,8],[5]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,6],[2,7],[4,8],[5]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,6],[3,7],[4,8],[5]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,5],[2,7],[3,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,5],[2,7],[4,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,5],[3,7],[4,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,4],[2,7],[5,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,4],[3,7],[5,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,3],[4,7],[5,8],[6]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,6],[2,5],[3,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,6],[2,5],[4,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,6],[3,5],[4,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,6],[2,4],[5,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,6],[3,4],[5,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,5],[2,6],[3,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,5],[2,6],[4,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,5],[3,6],[4,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,4],[2,6],[5,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,4],[3,6],[5,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,3],[4,6],[5,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,5],[2,4],[6,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,5],[3,4],[6,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,4],[2,5],[6,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,4],[3,5],[6,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,3],[4,5],[6,8],[7]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,7],[2,5],[3,6],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,7],[2,5],[4,6],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,7],[3,5],[4,6],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,7],[2,4],[5,6],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,7],[3,4],[5,6],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,6],[2,5],[3,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,6],[2,5],[4,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,6],[3,5],[4,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,6],[2,4],[5,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,6],[3,4],[5,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,4,5],[2,6],[3,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,5],[2,6],[4,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,5],[3,6],[4,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,4],[2,6],[5,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,4],[3,6],[5,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,3],[4,6],[5,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,5],[2,4],[6,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,5],[3,4],[6,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,3,4],[2,5],[6,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,4],[3,5],[6,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,3],[4,5],[6,7],[8]] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [[3,1,1],[]] => 1
[[1,2,3,4],[5,6,7],[8,9]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
[[1,2,3,4],[5,6,7],[8],[9]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1],[1,1]] => 1
[[1,2,3,4],[5,6],[7,8],[9]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1],[1]] => 1
[[1,2,3],[4,5,6],[7,8],[9]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[2,1,1,1],[]] => 1
[[1,2,3,4],[5,6,7],[8,9],[10]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1],[]] => 1
[[1,2,5,9],[3,4,8],[6,7]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
[[1,4,5,9],[2,7,8],[3],[6]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1],[1,1]] => 1
[[1,3,8,9],[2,5],[4,7],[6]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1],[1]] => 1
[[1,3,6],[2,5,9],[4,8],[7]] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [[2,1,1,1],[]] => 1
[[1,3,6,10],[2,5,9],[4,8],[7]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1],[]] => 1
[[1,2,3,6],[4,7],[5,8],[9]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1],[1]] => 1
[[1,2,4,6],[3,5,7],[8],[9]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1],[1,1]] => 1
[[1,2,4,7],[3,5,8],[6,9]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
[[1,2,4,7],[3,5,8],[6,9],[10]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1],[]] => 1
[[1,2,4,5],[3,7],[6,9],[8]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1],[1]] => 1
[[1,2,6,9],[3,7],[4,8],[5]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1],[1]] => 1
[[1,2,6,8],[3,7,9],[4],[5]] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [[2,2,2,1],[1,1]] => 1
[[1,2,5,8],[3,6,9],[4,7]] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [[2,2,2,2],[1,1,1]] => 1
[[1,2,6,9],[3,7,10],[4,8],[5]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1],[]] => 1
[[1,2,3,7],[4,8],[5,9],[6]] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [[2,2,1,1],[1]] => 1
[[1,2,4,8],[3,5,9],[6,10],[7]] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [[1,1,1,1,1],[]] => 1
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
The number of connected components of a skew partition.
Map
skew partition
Description
The parallelogram polyomino corresponding to a Dyck path, interpreted as a skew partition.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
This map returns the skew partition definded by the diagram of $\gamma(D)$.
Map
shape
Description
Sends a tableau to its shape.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.