Processing math: 100%

Identifier
Values
[2] => [1,1] => [1] => [[1]] => 0
[3] => [1,1,1] => [1,1] => [[1],[2]] => 0
[2,1] => [2,1] => [1] => [[1]] => 0
[4] => [1,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,1] => [2,1,1] => [1,1] => [[1],[2]] => 0
[2,2] => [2,2] => [2] => [[1,2]] => 0
[2,1,1] => [3,1] => [1] => [[1]] => 0
[5] => [1,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,1] => [2,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,2] => [2,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1] => [3,1,1] => [1,1] => [[1],[2]] => 0
[2,2,1] => [3,2] => [2] => [[1,2]] => 0
[2,1,1,1] => [4,1] => [1] => [[1]] => 0
[6] => [1,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,1] => [2,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,2] => [2,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1] => [3,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3] => [2,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,1] => [3,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1] => [4,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2] => [3,3] => [3] => [[1,2,3]] => 0
[2,2,1,1] => [4,2] => [2] => [[1,2]] => 0
[2,1,1,1,1] => [5,1] => [1] => [[1]] => 0
[7] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,2] => [2,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1] => [3,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,3] => [2,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,1] => [3,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1] => [4,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,1] => [3,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2] => [3,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1] => [4,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1] => [5,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,1] => [4,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1] => [5,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1] => [6,1] => [1] => [[1]] => 0
[8] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,1] => [2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,2] => [2,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,3] => [2,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,1] => [3,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4] => [2,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,1] => [3,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2] => [3,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1] => [4,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1] => [5,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,2] => [3,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1] => [4,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,1] => [4,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1] => [5,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1] => [6,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2] => [4,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1] => [5,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1] => [6,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1] => [7,1] => [1] => [[1]] => 0
[9] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[8,1] => [2,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,2] => [2,2,1,1,1,1,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 0
[7,1,1] => [3,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,3] => [2,2,2,1,1,1] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 0
[6,2,1] => [3,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,4] => [2,2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 0
[5,3,1] => [3,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,2] => [3,3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 0
[5,2,1,1] => [4,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1,1] => [5,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4,1] => [3,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,2] => [3,3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 0
[4,3,1,1] => [4,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2,1] => [4,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1,1] => [5,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1,1] => [6,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,3] => [3,3,3] => [3,3] => [[1,2,3],[4,5,6]] => 0
[3,3,2,1] => [4,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1,1] => [5,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,2] => [4,4,1] => [4,1] => [[1,3,4,5],[2]] => 0
[3,2,2,1,1] => [5,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1,1] => [6,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1,1] => [7,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2,1] => [5,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1,1] => [6,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1,1] => [7,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1,1] => [8,1] => [1] => [[1]] => 0
[9,1] => [2,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[8,2] => [2,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[8,1,1] => [3,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,3] => [2,2,2,1,1,1,1] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 0
[7,2,1] => [3,2,1,1,1,1,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 0
[7,1,1,1] => [4,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,4] => [2,2,2,2,1,1] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 0
[6,3,1] => [3,2,2,1,1,1] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 0
[6,2,2] => [3,3,1,1,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 0
[6,2,1,1] => [4,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1,1,1] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,5] => [2,2,2,2,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 0
[5,4,1] => [3,2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 0
[5,3,2] => [3,3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 0
>>> Load all 555 entries. <<<
[5,3,1,1] => [4,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,2,1] => [4,3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 0
[5,2,1,1,1] => [5,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1,1,1] => [6,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4,2] => [3,3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 0
[4,4,1,1] => [4,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,3] => [3,3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 0
[4,3,2,1] => [4,3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 0
[4,3,1,1,1] => [5,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2,2] => [4,4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 0
[4,2,2,1,1] => [5,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1,1,1] => [6,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1,1,1] => [7,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,3,1] => [4,3,3] => [3,3] => [[1,2,3],[4,5,6]] => 0
[3,3,2,2] => [4,4,2] => [4,2] => [[1,2,5,6],[3,4]] => 0
[3,3,2,1,1] => [5,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1,1,1] => [6,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,2,1] => [5,4,1] => [4,1] => [[1,3,4,5],[2]] => 0
[3,2,2,1,1,1] => [6,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1,1,1] => [7,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1,1,1] => [8,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2,2] => [5,5] => [5] => [[1,2,3,4,5]] => 0
[2,2,2,2,1,1] => [6,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1,1,1] => [7,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1,1,1] => [8,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1,1,1] => [9,1] => [1] => [[1]] => 0
[9,1,1] => [3,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[8,2,1] => [3,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[8,1,1,1] => [4,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,3,1] => [3,2,2,1,1,1,1] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 0
[7,2,2] => [3,3,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[7,2,1,1] => [4,2,1,1,1,1,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 0
[7,1,1,1,1] => [5,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,4,1] => [3,2,2,2,1,1] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 0
[6,3,2] => [3,3,2,1,1,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 0
[6,3,1,1] => [4,2,2,1,1,1] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 0
[6,2,2,1] => [4,3,1,1,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 0
[6,2,1,1,1] => [5,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1,1,1,1] => [6,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,5,1] => [3,2,2,2,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 0
[5,4,2] => [3,3,2,2,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 0
[5,4,1,1] => [4,2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 0
[5,3,3] => [3,3,3,1,1] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 0
[5,3,2,1] => [4,3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 0
[5,3,1,1,1] => [5,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,2,2] => [4,4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 0
[5,2,2,1,1] => [5,3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 0
[5,2,1,1,1,1] => [6,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1,1,1,1] => [7,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4,3] => [3,3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 0
[4,4,2,1] => [4,3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 0
[4,4,1,1,1] => [5,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,3,1] => [4,3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 0
[4,3,2,2] => [4,4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 0
[4,3,2,1,1] => [5,3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 0
[4,3,1,1,1,1] => [6,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2,2,1] => [5,4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 0
[4,2,2,1,1,1] => [6,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1,1,1,1] => [7,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1,1,1,1] => [8,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,3,2] => [4,4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 0
[3,3,3,1,1] => [5,3,3] => [3,3] => [[1,2,3],[4,5,6]] => 0
[3,3,2,2,1] => [5,4,2] => [4,2] => [[1,2,5,6],[3,4]] => 0
[3,3,2,1,1,1] => [6,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1,1,1,1] => [7,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,2,2] => [5,5,1] => [5,1] => [[1,3,4,5,6],[2]] => 0
[3,2,2,2,1,1] => [6,4,1] => [4,1] => [[1,3,4,5],[2]] => 0
[3,2,2,1,1,1,1] => [7,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1,1,1,1] => [8,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1,1,1,1] => [9,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2,2,1] => [6,5] => [5] => [[1,2,3,4,5]] => 0
[2,2,2,2,1,1,1] => [7,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1,1,1,1] => [8,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1,1,1,1] => [9,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1,1,1,1] => [10,1] => [1] => [[1]] => 0
[9,1,1,1] => [4,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[8,2,1,1] => [4,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[8,1,1,1,1] => [5,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,3,1,1] => [4,2,2,1,1,1,1] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 0
[7,2,2,1] => [4,3,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[7,2,1,1,1] => [5,2,1,1,1,1,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 0
[7,1,1,1,1,1] => [6,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,4,1,1] => [4,2,2,2,1,1] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 0
[6,3,2,1] => [4,3,2,1,1,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 0
[6,3,1,1,1] => [5,2,2,1,1,1] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 0
[6,2,2,2] => [4,4,1,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[6,2,2,1,1] => [5,3,1,1,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 0
[6,2,1,1,1,1] => [6,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1,1,1,1,1] => [7,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,5,1,1] => [4,2,2,2,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 0
[5,4,2,1] => [4,3,2,2,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 0
[5,4,1,1,1] => [5,2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 0
[5,3,3,1] => [4,3,3,1,1] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 0
[5,3,2,2] => [4,4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 0
[5,3,2,1,1] => [5,3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 0
[5,3,1,1,1,1] => [6,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,2,2,1] => [5,4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 0
[5,2,2,1,1,1] => [6,3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 0
[5,2,1,1,1,1,1] => [7,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1,1,1,1,1] => [8,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4,3,1] => [4,3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 0
[4,4,2,2] => [4,4,2,2] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 0
[4,4,2,1,1] => [5,3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 0
[4,4,1,1,1,1] => [6,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,3,2] => [4,4,3,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 0
[4,3,3,1,1] => [5,3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 0
[4,3,2,2,1] => [5,4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 0
[4,3,2,1,1,1] => [6,3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 0
[4,3,1,1,1,1,1] => [7,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2,2,2] => [5,5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 0
[4,2,2,2,1,1] => [6,4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 0
[4,2,2,1,1,1,1] => [7,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1,1,1,1,1] => [8,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1,1,1,1,1] => [9,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,3,3] => [4,4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 0
[3,3,3,2,1] => [5,4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 0
[3,3,3,1,1,1] => [6,3,3] => [3,3] => [[1,2,3],[4,5,6]] => 0
[3,3,2,2,2] => [5,5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 0
[3,3,2,2,1,1] => [6,4,2] => [4,2] => [[1,2,5,6],[3,4]] => 0
[3,3,2,1,1,1,1] => [7,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1,1,1,1,1] => [8,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,2,2,1] => [6,5,1] => [5,1] => [[1,3,4,5,6],[2]] => 0
[3,2,2,2,1,1,1] => [7,4,1] => [4,1] => [[1,3,4,5],[2]] => 0
[3,2,2,1,1,1,1,1] => [8,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1,1,1,1,1] => [9,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1,1,1,1,1] => [10,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2,2,2] => [6,6] => [6] => [[1,2,3,4,5,6]] => 0
[2,2,2,2,2,1,1] => [7,5] => [5] => [[1,2,3,4,5]] => 0
[2,2,2,2,1,1,1,1] => [8,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1,1,1,1,1] => [9,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1,1,1,1,1] => [10,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1,1,1,1,1] => [11,1] => [1] => [[1]] => 0
[9,1,1,1,1] => [5,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[8,2,1,1,1] => [5,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[8,1,1,1,1,1] => [6,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,3,1,1,1] => [5,2,2,1,1,1,1] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 0
[7,2,2,1,1] => [5,3,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[7,2,1,1,1,1] => [6,2,1,1,1,1,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 0
[7,1,1,1,1,1,1] => [7,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,4,1,1,1] => [5,2,2,2,1,1] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 0
[6,3,2,1,1] => [5,3,2,1,1,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 0
[6,3,1,1,1,1] => [6,2,2,1,1,1] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 0
[6,2,2,2,1] => [5,4,1,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[6,2,2,1,1,1] => [6,3,1,1,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 0
[6,2,1,1,1,1,1] => [7,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1,1,1,1,1,1] => [8,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,5,1,1,1] => [5,2,2,2,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 0
[5,4,2,1,1] => [5,3,2,2,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 0
[5,4,1,1,1,1] => [6,2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 0
[5,3,3,1,1] => [5,3,3,1,1] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 0
[5,3,2,2,1] => [5,4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 0
[5,3,2,1,1,1] => [6,3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 0
[5,3,1,1,1,1,1] => [7,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,2,2,2] => [5,5,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 0
[5,2,2,2,1,1] => [6,4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 0
[5,2,2,1,1,1,1] => [7,3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 0
[5,2,1,1,1,1,1,1] => [8,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1,1,1,1,1,1] => [9,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4,3,1,1] => [5,3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 0
[4,4,2,2,1] => [5,4,2,2] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 0
[4,4,2,1,1,1] => [6,3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 0
[4,4,1,1,1,1,1] => [7,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,3,2,1] => [5,4,3,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 0
[4,3,3,1,1,1] => [6,3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 0
[4,3,2,2,2] => [5,5,2,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 0
[4,3,2,2,1,1] => [6,4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 0
[4,3,2,1,1,1,1] => [7,3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 0
[4,3,1,1,1,1,1,1] => [8,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2,2,2,1] => [6,5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 0
[4,2,2,2,1,1,1] => [7,4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 0
[4,2,2,1,1,1,1,1] => [8,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1,1,1,1,1,1] => [9,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1,1,1,1,1,1] => [10,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,3,3,1] => [5,4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 0
[3,3,3,2,2] => [5,5,3] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 0
[3,3,3,2,1,1] => [6,4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 0
[3,3,3,1,1,1,1] => [7,3,3] => [3,3] => [[1,2,3],[4,5,6]] => 0
[3,3,2,2,2,1] => [6,5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 0
[3,3,2,2,1,1,1] => [7,4,2] => [4,2] => [[1,2,5,6],[3,4]] => 0
[3,3,2,1,1,1,1,1] => [8,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1,1,1,1,1,1] => [9,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,2,2,2] => [6,6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 0
[3,2,2,2,2,1,1] => [7,5,1] => [5,1] => [[1,3,4,5,6],[2]] => 0
[3,2,2,2,1,1,1,1] => [8,4,1] => [4,1] => [[1,3,4,5],[2]] => 0
[3,2,2,1,1,1,1,1,1] => [9,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1,1,1,1,1,1] => [10,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1,1,1,1,1,1] => [11,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2,2,2,1] => [7,6] => [6] => [[1,2,3,4,5,6]] => 0
[2,2,2,2,2,1,1,1] => [8,5] => [5] => [[1,2,3,4,5]] => 0
[2,2,2,2,1,1,1,1,1] => [9,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1,1,1,1,1,1] => [10,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1,1,1,1,1,1] => [11,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1,1,1,1,1,1] => [12,1] => [1] => [[1]] => 0
[9,1,1,1,1,1] => [6,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[8,2,1,1,1,1] => [6,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[8,1,1,1,1,1,1] => [7,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,3,1,1,1,1] => [6,2,2,1,1,1,1] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 0
[7,2,2,1,1,1] => [6,3,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[7,2,1,1,1,1,1] => [7,2,1,1,1,1,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 0
[7,1,1,1,1,1,1,1] => [8,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,4,1,1,1,1] => [6,2,2,2,1,1] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 0
[6,3,2,1,1,1] => [6,3,2,1,1,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 0
[6,3,1,1,1,1,1] => [7,2,2,1,1,1] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 0
[6,2,2,2,1,1] => [6,4,1,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[6,2,2,1,1,1,1] => [7,3,1,1,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 0
[6,2,1,1,1,1,1,1] => [8,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1,1,1,1,1,1,1] => [9,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,5,1,1,1,1] => [6,2,2,2,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 0
[5,4,2,1,1,1] => [6,3,2,2,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 0
[5,4,1,1,1,1,1] => [7,2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 0
[5,3,3,1,1,1] => [6,3,3,1,1] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 0
[5,3,2,2,1,1] => [6,4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 0
[5,3,2,1,1,1,1] => [7,3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 0
[5,3,1,1,1,1,1,1] => [8,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,2,2,2,1] => [6,5,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 0
[5,2,2,2,1,1,1] => [7,4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 0
[5,2,2,1,1,1,1,1] => [8,3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 0
[5,2,1,1,1,1,1,1,1] => [9,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1,1,1,1,1,1,1] => [10,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4,3,1,1,1] => [6,3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 0
[4,4,2,2,1,1] => [6,4,2,2] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 0
[4,4,2,1,1,1,1] => [7,3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 0
[4,4,1,1,1,1,1,1] => [8,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,3,2,1,1] => [6,4,3,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 0
[4,3,3,1,1,1,1] => [7,3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 0
[4,3,2,2,2,1] => [6,5,2,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 0
[4,3,2,2,1,1,1] => [7,4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 0
[4,3,2,1,1,1,1,1] => [8,3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 0
[4,3,1,1,1,1,1,1,1] => [9,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2,2,2,2] => [6,6,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 0
[4,2,2,2,2,1,1] => [7,5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 0
[4,2,2,2,1,1,1,1] => [8,4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 0
[4,2,2,1,1,1,1,1,1] => [9,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1,1,1,1,1,1,1] => [10,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1,1,1,1,1,1,1] => [11,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,3,3,1,1] => [6,4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 0
[3,3,3,2,2,1] => [6,5,3] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 0
[3,3,3,2,1,1,1] => [7,4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 0
[3,3,3,1,1,1,1,1] => [8,3,3] => [3,3] => [[1,2,3],[4,5,6]] => 0
[3,3,2,2,2,2] => [6,6,2] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 0
[3,3,2,2,2,1,1] => [7,5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 0
[3,3,2,2,1,1,1,1] => [8,4,2] => [4,2] => [[1,2,5,6],[3,4]] => 0
[3,3,2,1,1,1,1,1,1] => [9,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1,1,1,1,1,1,1] => [10,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,2,2,2,1] => [7,6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 0
[3,2,2,2,2,1,1,1] => [8,5,1] => [5,1] => [[1,3,4,5,6],[2]] => 0
[3,2,2,2,1,1,1,1,1] => [9,4,1] => [4,1] => [[1,3,4,5],[2]] => 0
[3,2,2,1,1,1,1,1,1,1] => [10,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1,1,1,1,1,1,1] => [11,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1,1,1,1,1,1,1] => [12,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2,2,2,2] => [7,7] => [7] => [[1,2,3,4,5,6,7]] => 0
[2,2,2,2,2,2,1,1] => [8,6] => [6] => [[1,2,3,4,5,6]] => 0
[2,2,2,2,2,1,1,1,1] => [9,5] => [5] => [[1,2,3,4,5]] => 0
[2,2,2,2,1,1,1,1,1,1] => [10,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1,1,1,1,1,1,1] => [11,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1,1,1,1,1,1,1] => [12,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1] => [13,1] => [1] => [[1]] => 0
[9,1,1,1,1,1,1] => [7,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[8,2,1,1,1,1,1] => [7,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[8,1,1,1,1,1,1,1] => [8,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,3,1,1,1,1,1] => [7,2,2,1,1,1,1] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 0
[7,2,2,1,1,1,1] => [7,3,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[7,2,1,1,1,1,1,1] => [8,2,1,1,1,1,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 0
[7,1,1,1,1,1,1,1,1] => [9,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,4,1,1,1,1,1] => [7,2,2,2,1,1] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 0
[6,3,2,1,1,1,1] => [7,3,2,1,1,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 0
[6,3,1,1,1,1,1,1] => [8,2,2,1,1,1] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 0
[6,2,2,2,1,1,1] => [7,4,1,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[6,2,2,1,1,1,1,1] => [8,3,1,1,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 0
[6,2,1,1,1,1,1,1,1] => [9,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1,1,1,1,1,1,1,1] => [10,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,5,1,1,1,1,1] => [7,2,2,2,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 0
[5,4,2,1,1,1,1] => [7,3,2,2,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 0
[5,4,1,1,1,1,1,1] => [8,2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 0
[5,3,3,1,1,1,1] => [7,3,3,1,1] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 0
[5,3,2,2,1,1,1] => [7,4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 0
[5,3,2,1,1,1,1,1] => [8,3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 0
[5,3,1,1,1,1,1,1,1] => [9,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,2,2,2,1,1] => [7,5,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 0
[5,2,2,2,1,1,1,1] => [8,4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 0
[5,2,2,1,1,1,1,1,1] => [9,3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 0
[5,2,1,1,1,1,1,1,1,1] => [10,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1,1,1,1,1,1,1,1] => [11,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4,3,1,1,1,1] => [7,3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 0
[4,4,2,2,1,1,1] => [7,4,2,2] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 0
[4,4,2,1,1,1,1,1] => [8,3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 0
[4,4,1,1,1,1,1,1,1] => [9,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,3,2,1,1,1] => [7,4,3,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 0
[4,3,3,1,1,1,1,1] => [8,3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 0
[4,3,2,2,2,1,1] => [7,5,2,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 0
[4,3,2,2,1,1,1,1] => [8,4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 0
[4,3,2,1,1,1,1,1,1] => [9,3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 0
[4,3,1,1,1,1,1,1,1,1] => [10,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2,2,2,2,1] => [7,6,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 0
[4,2,2,2,2,1,1,1] => [8,5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 0
[4,2,2,2,1,1,1,1,1] => [9,4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 0
[4,2,2,1,1,1,1,1,1,1] => [10,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1,1,1,1,1,1,1,1] => [11,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1,1,1,1,1,1,1,1] => [12,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,3,3,1,1,1] => [7,4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 0
[3,3,3,2,2,1,1] => [7,5,3] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 0
[3,3,3,2,1,1,1,1] => [8,4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 0
[3,3,3,1,1,1,1,1,1] => [9,3,3] => [3,3] => [[1,2,3],[4,5,6]] => 0
[3,3,2,2,2,2,1] => [7,6,2] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 0
[3,3,2,2,2,1,1,1] => [8,5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 0
[3,3,2,2,1,1,1,1,1] => [9,4,2] => [4,2] => [[1,2,5,6],[3,4]] => 0
[3,3,2,1,1,1,1,1,1,1] => [10,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1,1,1,1,1,1,1,1] => [11,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,2,2,2,2] => [7,7,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 0
[3,2,2,2,2,2,1,1] => [8,6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 0
[3,2,2,2,2,1,1,1,1] => [9,5,1] => [5,1] => [[1,3,4,5,6],[2]] => 0
[3,2,2,2,1,1,1,1,1,1] => [10,4,1] => [4,1] => [[1,3,4,5],[2]] => 0
[3,2,2,1,1,1,1,1,1,1,1] => [11,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1,1,1,1,1,1,1,1] => [12,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1,1,1,1,1,1,1,1] => [13,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2,2,2,2,1] => [8,7] => [7] => [[1,2,3,4,5,6,7]] => 0
[2,2,2,2,2,2,1,1,1] => [9,6] => [6] => [[1,2,3,4,5,6]] => 0
[2,2,2,2,2,1,1,1,1,1] => [10,5] => [5] => [[1,2,3,4,5]] => 0
[2,2,2,2,1,1,1,1,1,1,1] => [11,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1,1,1,1,1,1,1,1] => [12,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1,1,1,1,1,1,1,1] => [13,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [14,1] => [1] => [[1]] => 0
[9,1,1,1,1,1,1,1] => [8,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[8,2,1,1,1,1,1,1] => [8,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[8,1,1,1,1,1,1,1,1] => [9,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,3,1,1,1,1,1,1] => [8,2,2,1,1,1,1] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 0
[7,2,2,1,1,1,1,1] => [8,3,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[7,2,1,1,1,1,1,1,1] => [9,2,1,1,1,1,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 0
[7,1,1,1,1,1,1,1,1,1] => [10,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,4,1,1,1,1,1,1] => [8,2,2,2,1,1] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 0
[6,3,2,1,1,1,1,1] => [8,3,2,1,1,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 0
[6,3,1,1,1,1,1,1,1] => [9,2,2,1,1,1] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 0
[6,2,2,2,1,1,1,1] => [8,4,1,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[6,2,2,1,1,1,1,1,1] => [9,3,1,1,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 0
[6,2,1,1,1,1,1,1,1,1] => [10,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1,1,1,1,1,1,1,1,1] => [11,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,5,1,1,1,1,1,1] => [8,2,2,2,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 0
[5,4,2,1,1,1,1,1] => [8,3,2,2,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 0
[5,4,1,1,1,1,1,1,1] => [9,2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 0
[5,3,3,1,1,1,1,1] => [8,3,3,1,1] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 0
[5,3,2,2,1,1,1,1] => [8,4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 0
[5,3,2,1,1,1,1,1,1] => [9,3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 0
[5,3,1,1,1,1,1,1,1,1] => [10,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,2,2,2,1,1,1] => [8,5,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 0
[5,2,2,2,1,1,1,1,1] => [9,4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 0
[5,2,2,1,1,1,1,1,1,1] => [10,3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 0
[5,2,1,1,1,1,1,1,1,1,1] => [11,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1,1,1,1,1,1,1,1,1] => [12,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4,3,1,1,1,1,1] => [8,3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 0
[4,4,2,2,1,1,1,1] => [8,4,2,2] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 0
[4,4,2,1,1,1,1,1,1] => [9,3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 0
[4,4,1,1,1,1,1,1,1,1] => [10,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,3,2,1,1,1,1] => [8,4,3,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 0
[4,3,3,1,1,1,1,1,1] => [9,3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 0
[4,3,2,2,2,1,1,1] => [8,5,2,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 0
[4,3,2,2,1,1,1,1,1] => [9,4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 0
[4,3,2,1,1,1,1,1,1,1] => [10,3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 0
[4,3,1,1,1,1,1,1,1,1,1] => [11,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2,2,2,2,1,1] => [8,6,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 0
[4,2,2,2,2,1,1,1,1] => [9,5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 0
[4,2,2,2,1,1,1,1,1,1] => [10,4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 0
[4,2,2,1,1,1,1,1,1,1,1] => [11,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1,1,1,1,1,1,1,1,1] => [12,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1,1,1,1,1,1,1,1,1] => [13,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,3,3,1,1,1,1] => [8,4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 0
[3,3,3,2,2,1,1,1] => [8,5,3] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 0
[3,3,3,2,1,1,1,1,1] => [9,4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 0
[3,3,3,1,1,1,1,1,1,1] => [10,3,3] => [3,3] => [[1,2,3],[4,5,6]] => 0
[3,3,2,2,2,2,1,1] => [8,6,2] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 0
[3,3,2,2,2,1,1,1,1] => [9,5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 0
[3,3,2,2,1,1,1,1,1,1] => [10,4,2] => [4,2] => [[1,2,5,6],[3,4]] => 0
[3,3,2,1,1,1,1,1,1,1,1] => [11,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1,1,1,1,1,1,1,1,1] => [12,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,2,2,2,2,1] => [8,7,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 0
[3,2,2,2,2,2,1,1,1] => [9,6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 0
[3,2,2,2,2,1,1,1,1,1] => [10,5,1] => [5,1] => [[1,3,4,5,6],[2]] => 0
[3,2,2,2,1,1,1,1,1,1,1] => [11,4,1] => [4,1] => [[1,3,4,5],[2]] => 0
[3,2,2,1,1,1,1,1,1,1,1,1] => [12,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1,1,1,1,1,1,1,1,1] => [13,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] => [14,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2,2,2,2,2] => [8,8] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[2,2,2,2,2,2,2,1,1] => [9,7] => [7] => [[1,2,3,4,5,6,7]] => 0
[2,2,2,2,2,2,1,1,1,1] => [10,6] => [6] => [[1,2,3,4,5,6]] => 0
[2,2,2,2,2,1,1,1,1,1,1] => [11,5] => [5] => [[1,2,3,4,5]] => 0
[2,2,2,2,1,1,1,1,1,1,1,1] => [12,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1,1,1,1,1,1,1,1,1] => [13,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] => [14,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [15,1] => [1] => [[1]] => 0
[9,1,1,1,1,1,1,1,1] => [9,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 0
[8,2,1,1,1,1,1,1,1] => [9,2,1,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 0
[8,1,1,1,1,1,1,1,1,1] => [10,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 0
[7,3,1,1,1,1,1,1,1] => [9,2,2,1,1,1,1] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 0
[7,2,2,1,1,1,1,1,1] => [9,3,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 0
[7,2,1,1,1,1,1,1,1,1] => [10,2,1,1,1,1,1] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 0
[7,1,1,1,1,1,1,1,1,1,1] => [11,1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 0
[6,4,1,1,1,1,1,1,1] => [9,2,2,2,1,1] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 0
[6,3,2,1,1,1,1,1,1] => [9,3,2,1,1,1] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 0
[6,3,1,1,1,1,1,1,1,1] => [10,2,2,1,1,1] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 0
[6,2,2,2,1,1,1,1,1] => [9,4,1,1,1,1] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 0
[6,2,2,1,1,1,1,1,1,1] => [10,3,1,1,1,1] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 0
[6,2,1,1,1,1,1,1,1,1,1] => [11,2,1,1,1,1] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 0
[6,1,1,1,1,1,1,1,1,1,1,1] => [12,1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 0
[5,5,1,1,1,1,1,1,1] => [9,2,2,2,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 0
[5,4,2,1,1,1,1,1,1] => [9,3,2,2,1] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 0
[5,4,1,1,1,1,1,1,1,1] => [10,2,2,2,1] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 0
[5,3,3,1,1,1,1,1,1] => [9,3,3,1,1] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 0
[5,3,2,2,1,1,1,1,1] => [9,4,2,1,1] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 0
[5,3,2,1,1,1,1,1,1,1] => [10,3,2,1,1] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 0
[5,3,1,1,1,1,1,1,1,1,1] => [11,2,2,1,1] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 0
[5,2,2,2,2,1,1,1,1] => [9,5,1,1,1] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 0
[5,2,2,2,1,1,1,1,1,1] => [10,4,1,1,1] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 0
[5,2,2,1,1,1,1,1,1,1,1] => [11,3,1,1,1] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 0
[5,2,1,1,1,1,1,1,1,1,1,1] => [12,2,1,1,1] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 0
[5,1,1,1,1,1,1,1,1,1,1,1,1] => [13,1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 0
[4,4,3,1,1,1,1,1,1] => [9,3,3,2] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 0
[4,4,2,2,1,1,1,1,1] => [9,4,2,2] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 0
[4,4,2,1,1,1,1,1,1,1] => [10,3,2,2] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 0
[4,4,1,1,1,1,1,1,1,1,1] => [11,2,2,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => 0
[4,3,3,2,1,1,1,1,1] => [9,4,3,1] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 0
[4,3,3,1,1,1,1,1,1,1] => [10,3,3,1] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 0
[4,3,2,2,2,1,1,1,1] => [9,5,2,1] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 0
[4,3,2,2,1,1,1,1,1,1] => [10,4,2,1] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 0
[4,3,2,1,1,1,1,1,1,1,1] => [11,3,2,1] => [3,2,1] => [[1,3,6],[2,5],[4]] => 0
[4,3,1,1,1,1,1,1,1,1,1,1] => [12,2,2,1] => [2,2,1] => [[1,3],[2,5],[4]] => 0
[4,2,2,2,2,2,1,1,1] => [9,6,1,1] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 0
[4,2,2,2,2,1,1,1,1,1] => [10,5,1,1] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 0
[4,2,2,2,1,1,1,1,1,1,1] => [11,4,1,1] => [4,1,1] => [[1,4,5,6],[2],[3]] => 0
[4,2,2,1,1,1,1,1,1,1,1,1] => [12,3,1,1] => [3,1,1] => [[1,4,5],[2],[3]] => 0
[4,2,1,1,1,1,1,1,1,1,1,1,1] => [13,2,1,1] => [2,1,1] => [[1,4],[2],[3]] => 0
[4,1,1,1,1,1,1,1,1,1,1,1,1,1] => [14,1,1,1] => [1,1,1] => [[1],[2],[3]] => 0
[3,3,3,3,1,1,1,1,1] => [9,4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 0
[3,3,3,2,2,1,1,1,1] => [9,5,3] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 0
[3,3,3,2,1,1,1,1,1,1] => [10,4,3] => [4,3] => [[1,2,3,7],[4,5,6]] => 0
[3,3,3,1,1,1,1,1,1,1,1] => [11,3,3] => [3,3] => [[1,2,3],[4,5,6]] => 0
[3,3,2,2,2,2,1,1,1] => [9,6,2] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 0
[3,3,2,2,2,1,1,1,1,1] => [10,5,2] => [5,2] => [[1,2,5,6,7],[3,4]] => 0
[3,3,2,2,1,1,1,1,1,1,1] => [11,4,2] => [4,2] => [[1,2,5,6],[3,4]] => 0
[3,3,2,1,1,1,1,1,1,1,1,1] => [12,3,2] => [3,2] => [[1,2,5],[3,4]] => 0
[3,3,1,1,1,1,1,1,1,1,1,1,1] => [13,2,2] => [2,2] => [[1,2],[3,4]] => 0
[3,2,2,2,2,2,2,1,1] => [9,7,1] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 0
[3,2,2,2,2,2,1,1,1,1] => [10,6,1] => [6,1] => [[1,3,4,5,6,7],[2]] => 0
[3,2,2,2,2,1,1,1,1,1,1] => [11,5,1] => [5,1] => [[1,3,4,5,6],[2]] => 0
[3,2,2,2,1,1,1,1,1,1,1,1] => [12,4,1] => [4,1] => [[1,3,4,5],[2]] => 0
[3,2,2,1,1,1,1,1,1,1,1,1,1] => [13,3,1] => [3,1] => [[1,3,4],[2]] => 0
[3,2,1,1,1,1,1,1,1,1,1,1,1,1] => [14,2,1] => [2,1] => [[1,3],[2]] => 0
[3,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [15,1,1] => [1,1] => [[1],[2]] => 0
[2,2,2,2,2,2,2,2,1] => [9,8] => [8] => [[1,2,3,4,5,6,7,8]] => 0
[2,2,2,2,2,2,2,1,1,1] => [10,7] => [7] => [[1,2,3,4,5,6,7]] => 0
[2,2,2,2,2,2,1,1,1,1,1] => [11,6] => [6] => [[1,2,3,4,5,6]] => 0
[2,2,2,2,2,1,1,1,1,1,1,1] => [12,5] => [5] => [[1,2,3,4,5]] => 0
[2,2,2,2,1,1,1,1,1,1,1,1,1] => [13,4] => [4] => [[1,2,3,4]] => 0
[2,2,2,1,1,1,1,1,1,1,1,1,1,1] => [14,3] => [3] => [[1,2,3]] => 0
[2,2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [15,2] => [2] => [[1,2]] => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [16,1] => [1] => [[1]] => 0
search for individual values
searching the database for the individual values of this statistic
Description
The major index of a standard tableau minus the weighted size of its shape.
Map
first row removal
Description
Removes the first entry of an integer partition
Map
conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition λ of n is the partition λ∗ whose Ferrers diagram is obtained from the diagram of λ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.
Map
reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau T labeled down (in English convention) each column to the shape of a partition.