Identifier
Values
[1,1] => [1] => [1,0] => [[1],[2]] => 2
[2,1] => [1] => [1,0] => [[1],[2]] => 2
[1,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[3,1] => [1] => [1,0] => [[1],[2]] => 2
[2,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[2,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[1,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[4,1] => [1] => [1,0] => [[1],[2]] => 2
[3,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[3,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[2,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[2,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[1,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[5,1] => [1] => [1,0] => [[1],[2]] => 2
[4,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[4,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[3,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[3,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[3,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[2,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[2,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[2,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[1,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[6,1] => [1] => [1,0] => [[1],[2]] => 2
[5,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[5,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[4,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[4,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[4,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[3,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[3,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[3,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[3,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[2,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[2,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[2,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[1,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[7,1] => [1] => [1,0] => [[1],[2]] => 2
[6,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[6,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[5,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[5,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[5,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[4,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[4,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[4,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[4,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[4,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[3,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[3,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[3,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[3,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[3,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[2,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[2,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[2,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[2,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[8,1] => [1] => [1,0] => [[1],[2]] => 2
[7,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[7,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[6,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[6,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[6,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[5,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[5,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[5,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[5,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[5,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[4,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => 2
[4,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[4,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[4,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[4,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[4,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[3,3,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => 1
[3,3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => 2
[3,3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 2
[3,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[3,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[3,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[3,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[2,2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => 1
[2,2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => 1
[9,1] => [1] => [1,0] => [[1],[2]] => 2
[8,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[8,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[7,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[7,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[7,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[6,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[6,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[6,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[6,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[6,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[5,5] => [5] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]] => 2
[5,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => 2
[5,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[5,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[5,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[5,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[5,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
>>> Load all 532 entries. <<<
[4,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => 2
[4,4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => 2
[4,3,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => 1
[4,3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => 2
[4,3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 2
[4,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[4,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[4,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[4,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[3,3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => 1
[3,3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => 2
[3,3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => 2
[3,2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => 1
[3,2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => 1
[2,2,2,2,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => 1
[2,2,2,2,1,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => 1
[10,1] => [1] => [1,0] => [[1],[2]] => 2
[9,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[9,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[8,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[8,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[8,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[7,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[7,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[7,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[7,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[7,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[6,5] => [5] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]] => 2
[6,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => 2
[6,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[6,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[6,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[6,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[6,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[5,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => 2
[5,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => 2
[5,4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => 2
[5,3,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => 1
[5,3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => 2
[5,3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 2
[5,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[5,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[5,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[5,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[4,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]] => 2
[4,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => 2
[4,3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => 1
[4,3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => 2
[4,3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => 2
[4,2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => 1
[4,2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => 1
[3,3,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]] => 1
[3,3,3,1,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => 1
[3,3,2,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => 2
[3,2,2,2,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => 1
[3,2,2,2,1,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => 1
[2,2,2,2,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => 1
[11,1] => [1] => [1,0] => [[1],[2]] => 2
[10,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[10,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[9,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[9,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[9,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[8,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[8,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[8,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[8,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[8,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[7,5] => [5] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]] => 2
[7,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => 2
[7,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[7,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[7,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[7,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[7,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[6,6] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => 2
[6,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => 2
[6,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => 2
[6,4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => 2
[6,3,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => 1
[6,3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => 2
[6,3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 2
[6,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[6,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[6,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[6,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[5,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => 2
[5,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]] => 2
[5,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => 2
[5,3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => 1
[5,3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => 2
[5,3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => 2
[5,2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => 1
[5,2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => 1
[4,4,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]] => 1
[4,4,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => 2
[4,4,2,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => 2
[4,3,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]] => 1
[4,3,3,1,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => 1
[4,3,2,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => 2
[4,2,2,2,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => 1
[4,2,2,2,1,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => 1
[3,3,3,3] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[3,3,3,2,1] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => 1
[3,3,2,2,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => 2
[3,2,2,2,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => 1
[2,2,2,2,2,2] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => 1
[12,1] => [1] => [1,0] => [[1],[2]] => 2
[11,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[11,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[10,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[10,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[10,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[9,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[9,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[9,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[9,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[9,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[8,5] => [5] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]] => 2
[8,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => 2
[8,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[8,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[8,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[8,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[8,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[7,6] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => 2
[7,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => 2
[7,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => 2
[7,4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => 2
[7,3,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => 1
[7,3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => 2
[7,3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 2
[7,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[7,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[7,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[7,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[6,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => 2
[6,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]] => 2
[6,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => 2
[6,3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => 1
[6,3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => 2
[6,3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => 2
[6,2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => 1
[6,2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => 1
[5,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => 2
[5,4,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]] => 1
[5,4,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => 2
[5,4,2,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => 2
[5,3,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]] => 1
[5,3,3,1,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => 1
[5,3,2,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => 2
[5,2,2,2,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => 1
[5,2,2,2,1,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => 1
[4,4,4,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => 1
[4,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,8],[2,6,9,10,11,12]] => 2
[4,3,3,3] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[4,3,3,2,1] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => 1
[4,3,2,2,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => 2
[4,2,2,2,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => 1
[3,3,3,3,1] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,10],[6,7,8,9,11,12]] => 1
[3,3,3,2,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,6,8],[4,7,9,10,11,12]] => 1
[3,2,2,2,2,2] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => 1
[13,1] => [1] => [1,0] => [[1],[2]] => 2
[12,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[12,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[11,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[11,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[11,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[10,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[10,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[10,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[10,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[10,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[9,5] => [5] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]] => 2
[9,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => 2
[9,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[9,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[9,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[9,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[9,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[8,6] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => 2
[8,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => 2
[8,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => 2
[8,4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => 2
[8,3,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => 1
[8,3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => 2
[8,3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 2
[8,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[8,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[8,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[8,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[7,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => 2
[7,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]] => 2
[7,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => 2
[7,3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => 1
[7,3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => 2
[7,3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => 2
[7,2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => 1
[7,2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => 1
[6,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => 2
[6,4,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]] => 1
[6,4,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => 2
[6,4,2,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => 2
[6,3,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]] => 1
[6,3,3,1,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => 1
[6,3,2,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => 2
[6,2,2,2,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => 1
[6,2,2,2,1,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => 1
[5,5,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9],[2,6,8,10,11,12]] => 2
[5,4,4,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => 1
[5,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,8],[2,6,9,10,11,12]] => 2
[5,3,3,3] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[5,3,3,2,1] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => 1
[5,3,2,2,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => 2
[5,2,2,2,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => 1
[4,4,4,2] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,8],[4,6,9,10,11,12]] => 1
[4,4,3,3] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => 2
[4,3,3,3,1] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,10],[6,7,8,9,11,12]] => 1
[4,3,3,2,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,6,8],[4,7,9,10,11,12]] => 1
[4,2,2,2,2,2] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => 1
[3,3,3,3,2] => [3,3,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,8],[6,7,9,10,11,12]] => 1
[3,3,2,2,2,2] => [3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]] => 2
[14,1] => [1] => [1,0] => [[1],[2]] => 2
[13,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[13,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[12,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[12,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[12,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[11,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[11,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[11,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[11,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[11,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[10,5] => [5] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]] => 2
[10,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => 2
[10,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[10,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[10,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[10,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[10,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[9,6] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => 2
[9,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => 2
[9,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => 2
[9,4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => 2
[9,3,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => 1
[9,3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => 2
[9,3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 2
[9,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[9,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[9,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[9,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[8,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => 2
[8,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]] => 2
[8,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => 2
[8,3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => 1
[8,3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => 2
[8,3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => 2
[8,2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => 1
[8,2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => 1
[7,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => 2
[7,4,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]] => 1
[7,4,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => 2
[7,4,2,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => 2
[7,3,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]] => 1
[7,3,3,1,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => 1
[7,3,2,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => 2
[7,2,2,2,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => 1
[7,2,2,2,1,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => 1
[6,5,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9],[2,6,8,10,11,12]] => 2
[6,4,4,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => 1
[6,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,8],[2,6,9,10,11,12]] => 2
[6,3,3,3] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[6,3,3,2,1] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => 1
[6,3,2,2,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => 2
[6,2,2,2,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => 1
[5,5,5] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9],[4,6,8,10,11,12]] => 1
[5,4,4,2] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,8],[4,6,9,10,11,12]] => 1
[5,4,3,3] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => 2
[5,3,3,3,1] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,10],[6,7,8,9,11,12]] => 1
[5,3,3,2,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,6,8],[4,7,9,10,11,12]] => 1
[5,2,2,2,2,2] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => 1
[4,4,4,3] => [4,4,3] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,6,7],[4,8,9,10,11,12]] => 1
[4,4,3,3,1] => [4,3,3,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]] => 2
[4,4,3,2,2] => [4,3,2,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]] => 2
[4,3,3,3,2] => [3,3,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,8],[6,7,9,10,11,12]] => 1
[4,3,2,2,2,2] => [3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]] => 2
[3,3,3,3,3] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 1
[15,1] => [1] => [1,0] => [[1],[2]] => 2
[14,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[14,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[13,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[13,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[13,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[12,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[12,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[12,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[12,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[12,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[11,5] => [5] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]] => 2
[11,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => 2
[11,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[11,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[11,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[11,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[11,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[10,6] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => 2
[10,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => 2
[10,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => 2
[10,4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => 2
[10,3,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => 1
[10,3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => 2
[10,3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 2
[10,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[10,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[10,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[10,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[9,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => 2
[9,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]] => 2
[9,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => 2
[9,3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => 1
[9,3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => 2
[9,3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => 2
[9,2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => 1
[9,2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => 1
[8,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => 2
[8,4,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]] => 1
[8,4,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => 2
[8,4,2,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => 2
[8,3,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]] => 1
[8,3,3,1,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => 1
[8,3,2,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => 2
[8,2,2,2,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => 1
[8,2,2,2,1,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => 1
[7,5,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9],[2,6,8,10,11,12]] => 2
[7,4,4,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => 1
[7,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,8],[2,6,9,10,11,12]] => 2
[7,3,3,3] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[7,3,3,2,1] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => 1
[7,3,2,2,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => 2
[7,2,2,2,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => 1
[6,5,5] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9],[4,6,8,10,11,12]] => 1
[6,4,4,2] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,8],[4,6,9,10,11,12]] => 1
[6,4,3,3] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => 2
[6,3,3,3,1] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,10],[6,7,8,9,11,12]] => 1
[6,3,3,2,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,6,8],[4,7,9,10,11,12]] => 1
[6,2,2,2,2,2] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => 1
[5,4,4,3] => [4,4,3] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,6,7],[4,8,9,10,11,12]] => 1
[5,4,3,3,1] => [4,3,3,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]] => 2
[5,4,3,2,2] => [4,3,2,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]] => 2
[5,3,3,3,2] => [3,3,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,8],[6,7,9,10,11,12]] => 1
[5,3,2,2,2,2] => [3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]] => 2
[4,4,4,4] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7],[6,8,9,10,11,12]] => 1
[4,4,3,3,2] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]] => 2
[4,3,3,3,3] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 1
[16,1] => [1] => [1,0] => [[1],[2]] => 2
[15,2] => [2] => [1,0,1,0] => [[1,3],[2,4]] => 2
[15,1,1] => [1,1] => [1,1,0,0] => [[1,2],[3,4]] => 1
[14,3] => [3] => [1,0,1,0,1,0] => [[1,3,5],[2,4,6]] => 2
[14,2,1] => [2,1] => [1,0,1,1,0,0] => [[1,3,4],[2,5,6]] => 2
[14,1,1,1] => [1,1,1] => [1,1,0,1,0,0] => [[1,2,4],[3,5,6]] => 1
[13,4] => [4] => [1,0,1,0,1,0,1,0] => [[1,3,5,7],[2,4,6,8]] => 2
[13,3,1] => [3,1] => [1,0,1,0,1,1,0,0] => [[1,3,5,6],[2,4,7,8]] => 2
[13,2,2] => [2,2] => [1,1,1,0,0,0] => [[1,2,3],[4,5,6]] => 1
[13,2,1,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [[1,3,4,6],[2,5,7,8]] => 2
[13,1,1,1,1] => [1,1,1,1] => [1,1,0,1,0,1,0,0] => [[1,2,4,6],[3,5,7,8]] => 1
[12,5] => [5] => [1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9],[2,4,6,8,10]] => 2
[12,4,1] => [4,1] => [1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,8],[2,4,6,9,10]] => 2
[12,3,2] => [3,2] => [1,0,1,1,1,0,0,0] => [[1,3,4,5],[2,6,7,8]] => 2
[12,3,1,1] => [3,1,1] => [1,0,1,0,1,1,0,1,0,0] => [[1,3,5,6,8],[2,4,7,9,10]] => 2
[12,2,2,1] => [2,2,1] => [1,1,1,0,0,1,0,0] => [[1,2,3,6],[4,5,7,8]] => 1
[12,2,1,1,1] => [2,1,1,1] => [1,0,1,1,0,1,0,1,0,0] => [[1,3,4,6,8],[2,5,7,9,10]] => 2
[12,1,1,1,1,1] => [1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8],[3,5,7,9,10]] => 1
[11,6] => [6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => 2
[11,5,1] => [5,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => 2
[11,4,2] => [4,2] => [1,0,1,0,1,1,1,0,0,0] => [[1,3,5,6,7],[2,4,8,9,10]] => 2
[11,4,1,1] => [4,1,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => 2
[11,3,3] => [3,3] => [1,1,1,0,1,0,0,0] => [[1,2,3,5],[4,6,7,8]] => 1
[11,3,2,1] => [3,2,1] => [1,0,1,1,1,0,0,1,0,0] => [[1,3,4,5,8],[2,6,7,9,10]] => 2
[11,3,1,1,1] => [3,1,1,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => 2
[11,2,2,2] => [2,2,2] => [1,1,1,1,0,0,0,0] => [[1,2,3,4],[5,6,7,8]] => 1
[11,2,2,1,1] => [2,2,1,1] => [1,1,1,0,0,1,0,1,0,0] => [[1,2,3,6,8],[4,5,7,9,10]] => 1
[11,2,1,1,1,1] => [2,1,1,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => 2
[11,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => 1
[10,5,2] => [5,2] => [1,0,1,0,1,0,1,1,1,0,0,0] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => 2
[10,4,3] => [4,3] => [1,0,1,1,1,0,1,0,0,0] => [[1,3,4,5,7],[2,6,8,9,10]] => 2
[10,4,2,1] => [4,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => 2
[10,3,3,1] => [3,3,1] => [1,1,1,0,1,0,0,1,0,0] => [[1,2,3,5,8],[4,6,7,9,10]] => 1
[10,3,2,2] => [3,2,2] => [1,0,1,1,1,1,0,0,0,0] => [[1,3,4,5,6],[2,7,8,9,10]] => 2
[10,3,2,1,1] => [3,2,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => 2
[10,2,2,2,1] => [2,2,2,1] => [1,1,1,1,0,0,0,1,0,0] => [[1,2,3,4,8],[5,6,7,9,10]] => 1
[10,2,2,1,1,1] => [2,2,1,1,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => 1
[9,5,3] => [5,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => 2
[9,4,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]] => 1
[9,4,3,1] => [4,3,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => 2
[9,4,2,2] => [4,2,2] => [1,0,1,0,1,1,1,1,0,0,0,0] => [[1,3,5,6,7,8],[2,4,9,10,11,12]] => 2
[9,3,3,2] => [3,3,2] => [1,1,1,0,1,1,0,0,0,0] => [[1,2,3,5,6],[4,7,8,9,10]] => 1
[9,3,3,1,1] => [3,3,1,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => 1
[9,3,2,2,1] => [3,2,2,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [[1,3,4,5,6,10],[2,7,8,9,11,12]] => 2
[9,2,2,2,2] => [2,2,2,2] => [1,1,1,1,0,1,0,0,0,0] => [[1,2,3,4,6],[5,7,8,9,10]] => 1
[9,2,2,2,1,1] => [2,2,2,1,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [[1,2,3,4,8,10],[5,6,7,9,11,12]] => 1
[8,5,4] => [5,4] => [1,0,1,1,1,0,1,0,1,0,0,0] => [[1,3,4,5,7,9],[2,6,8,10,11,12]] => 2
[8,4,4,1] => [4,4,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => 1
[8,4,3,2] => [4,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [[1,3,4,5,7,8],[2,6,9,10,11,12]] => 2
[8,3,3,3] => [3,3,3] => [1,1,1,1,1,0,0,0,0,0] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[8,3,3,2,1] => [3,3,2,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => 1
[8,3,2,2,2] => [3,2,2,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [[1,3,4,5,6,8],[2,7,9,10,11,12]] => 2
[8,2,2,2,2,1] => [2,2,2,2,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [[1,2,3,4,6,10],[5,7,8,9,11,12]] => 1
[7,5,5] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9],[4,6,8,10,11,12]] => 1
[7,4,4,2] => [4,4,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [[1,2,3,5,7,8],[4,6,9,10,11,12]] => 1
[7,4,3,3] => [4,3,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [[1,3,4,5,6,7],[2,8,9,10,11,12]] => 2
[7,3,3,3,1] => [3,3,3,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [[1,2,3,4,5,10],[6,7,8,9,11,12]] => 1
[7,3,3,2,2] => [3,3,2,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [[1,2,3,5,6,8],[4,7,9,10,11,12]] => 1
[7,2,2,2,2,2] => [2,2,2,2,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [[1,2,3,4,6,8],[5,7,9,10,11,12]] => 1
[6,4,4,3] => [4,4,3] => [1,1,1,0,1,1,1,0,0,0,0,0] => [[1,2,3,5,6,7],[4,8,9,10,11,12]] => 1
[6,4,3,3,1] => [4,3,3,1] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]] => 2
[6,4,3,2,2] => [4,3,2,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]] => 2
[6,3,3,3,2] => [3,3,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [[1,2,3,4,5,8],[6,7,9,10,11,12]] => 1
[6,3,2,2,2,2] => [3,2,2,2,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]] => 2
[5,5,4,3] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]] => 2
[5,4,4,4] => [4,4,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [[1,2,3,4,5,7],[6,8,9,10,11,12]] => 1
[5,4,3,3,2] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]] => 2
[5,3,3,3,3] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 1
[4,4,3,3,3] => [4,3,3,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]] => 2
[6,4,3,3,2] => [4,3,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]] => 2
[6,5,4,3] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]] => 2
[5,4,3,3,3,2] => [4,3,3,3,2] => [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]] => 2
[5,4,3,3,3] => [4,3,3,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]] => 2
[7,3,3,3,3] => [3,3,3,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 1
[7,5,4,3] => [5,4,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]] => 2
[10,4,4] => [4,4] => [1,1,1,0,1,0,1,0,0,0] => [[1,2,3,5,7],[4,6,8,9,10]] => 1
[15,5,5] => [5,5] => [1,1,1,0,1,0,1,0,1,0,0,0] => [[1,2,3,5,7,9],[4,6,8,10,11,12]] => 1
search for individual values
searching the database for the individual values of this statistic
Description
The index of the last row whose first entry is the row number in a standard Young tableau.
Map
first row removal
Description
Removes the first entry of an integer partition
Map
parallelogram polyomino
Description
Return the Dyck path corresponding to the partition interpreted as a parallogram polyomino.
The Ferrers diagram of an integer partition can be interpreted as a parallogram polyomino, such that each part corresponds to a column.
This map returns the corresponding Dyck path.
Map
to two-row standard tableau
Description
Return a standard tableau of shape $(n,n)$ where $n$ is the semilength of the Dyck path.
Given a Dyck path $D$, its image is given by recording the positions of the up-steps in the first row and the positions of the down-steps in the second row.