Identifier
Values
[1,0,1,0] => [1] => [1] => [[1]] => 1
[1,0,1,0,1,0] => [2,1] => [3] => [[1,2,3]] => 1
[1,0,1,1,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,0,0,1,0] => [2] => [2] => [[1,2]] => 1
[1,1,0,1,0,0] => [1] => [1] => [[1]] => 1
[1,0,1,0,1,0,1,0] => [3,2,1] => [3,3] => [[1,2,3],[4,5,6]] => 1
[1,0,1,0,1,1,0,0] => [2,2,1] => [5] => [[1,2,3,4,5]] => 1
[1,0,1,1,0,0,1,0] => [3,1,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 1
[1,0,1,1,0,1,0,0] => [2,1,1] => [3,1] => [[1,2,3],[4]] => 1
[1,0,1,1,1,0,0,0] => [1,1,1] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,0,0,1,0,1,0] => [3,2] => [4,1] => [[1,2,3,4],[5]] => 1
[1,1,0,0,1,1,0,0] => [2,2] => [4] => [[1,2,3,4]] => 1
[1,1,0,1,0,0,1,0] => [3,1] => [2,1,1] => [[1,2],[3],[4]] => 1
[1,1,0,1,0,1,0,0] => [2,1] => [3] => [[1,2,3]] => 1
[1,1,0,1,1,0,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,1,0,0,0,1,0] => [3] => [2,1] => [[1,2],[3]] => 1
[1,1,1,0,0,1,0,0] => [2] => [2] => [[1,2]] => 1
[1,1,1,0,1,0,0,0] => [1] => [1] => [[1]] => 1
[1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 1
[1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => 1
[1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 1
[1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => [7] => [[1,2,3,4,5,6,7]] => 1
[1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => 1
[1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => 1
[1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => 1
[1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 1
[1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => [5,1] => [[1,2,3,4,5],[6]] => 1
[1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => 1
[1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 1
[1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => [3,1,1] => [[1,2,3],[4],[5]] => 1
[1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,0,0,1,0,1,0,1,0] => [4,3,2] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => 1
[1,1,0,0,1,0,1,1,0,0] => [3,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => 1
[1,1,0,0,1,1,0,0,1,0] => [4,2,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 1
[1,1,0,0,1,1,0,1,0,0] => [3,2,2] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[1,1,0,0,1,1,1,0,0,0] => [2,2,2] => [6] => [[1,2,3,4,5,6]] => 1
[1,1,0,1,0,0,1,0,1,0] => [4,3,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 1
[1,1,0,1,0,0,1,1,0,0] => [3,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => 1
[1,1,0,1,0,1,0,0,1,0] => [4,2,1] => [5,2] => [[1,2,3,4,5],[6,7]] => 1
[1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [3,3] => [[1,2,3],[4,5,6]] => 1
[1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [5] => [[1,2,3,4,5]] => 1
[1,1,0,1,1,0,0,0,1,0] => [4,1,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => 1
[1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 1
[1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [3,1] => [[1,2,3],[4]] => 1
[1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,0,0,0,1,0,1,0] => [4,3] => [4,3] => [[1,2,3,4],[5,6,7]] => 1
[1,1,1,0,0,0,1,1,0,0] => [3,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => 1
[1,1,1,0,0,1,0,0,1,0] => [4,2] => [4,2] => [[1,2,3,4],[5,6]] => 1
[1,1,1,0,0,1,0,1,0,0] => [3,2] => [4,1] => [[1,2,3,4],[5]] => 1
[1,1,1,0,0,1,1,0,0,0] => [2,2] => [4] => [[1,2,3,4]] => 1
[1,1,1,0,1,0,0,0,1,0] => [4,1] => [3,2] => [[1,2,3],[4,5]] => 1
[1,1,1,0,1,0,0,1,0,0] => [3,1] => [2,1,1] => [[1,2],[3],[4]] => 1
[1,1,1,0,1,0,1,0,0,0] => [2,1] => [3] => [[1,2,3]] => 1
[1,1,1,0,1,1,0,0,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,1,1,0,0,0,0,1,0] => [4] => [2,2] => [[1,2],[3,4]] => 1
[1,1,1,1,0,0,0,1,0,0] => [3] => [2,1] => [[1,2],[3]] => 1
[1,1,1,1,0,0,1,0,0,0] => [2] => [2] => [[1,2]] => 1
[1,1,1,1,0,1,0,0,0,0] => [1] => [1] => [[1]] => 1
[1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => [5,3,3,2] => [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]] => 1
[1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => [5,3,3] => [[1,2,3,4,5],[6,7,8],[9,10,11]] => 1
[1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => 1
[1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => [9] => [[1,2,3,4,5,6,7,8,9]] => 1
[1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => [5,4,3,1,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]] => 1
[1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => [5,3,2,1,1] => [[1,2,3,4,5],[6,7,8],[9,10],[11],[12]] => 1
[1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => [4,3,3,1,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11],[12]] => 1
[1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 1
[1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => 1
[1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => 1
[1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => [5,4,1,1,1] => [[1,2,3,4,5],[6,7,8,9],[10],[11],[12]] => 1
[1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => 1
[1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => 1
[1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => 1
[1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => 1
[1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => 1
[1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 1
[1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => 1
[1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => 1
[1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => 1
[1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 1
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 5
[1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => [5,3,2,2,1] => [[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]] => 1
[1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => [5,3,2,1] => [[1,2,3,4,5],[6,7,8],[9,10],[11]] => 1
[1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 1
[1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => 1
[1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => 1
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => [8] => [[1,2,3,4,5,6,7,8]] => 1
[1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => [5,4,3,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]] => 1
[1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => [3,3,2,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]] => 1
[1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => [5,4,1,1] => [[1,2,3,4,5],[6,7,8,9],[10],[11]] => 1
[1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => 1
[1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 1
[1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 1
[1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => 1
[1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => 1
[1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 1
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [7] => [[1,2,3,4,5,6,7]] => 1
[1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => [4,3,3,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11]] => 1
[1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => 1
>>> Load all 688 entries. <<<
[1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => 1
[1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => 1
[1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => 1
[1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => 1
[1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => 1
[1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 1
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [5,1] => [[1,2,3,4,5],[6]] => 1
[1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 1
[1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => 1
[1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 1
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [3,1,1] => [[1,2,3],[4],[5]] => 1
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 1
[1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => [3,3,2,2,1] => [[1,2,3],[4,5,6],[7,8],[9,10],[11]] => 1
[1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 1
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 1
[1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => 1
[1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => 1
[1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => 1
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => 1
[1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => 1
[1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 1
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [6] => [[1,2,3,4,5,6]] => 1
[1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => 1
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 1
[1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => 1
[1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 1
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => 1
[1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 1
[1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [5,2] => [[1,2,3,4,5],[6,7]] => 1
[1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [3,3] => [[1,2,3],[4,5,6]] => 1
[1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [5] => [[1,2,3,4,5]] => 1
[1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => 1
[1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => 1
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 1
[1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [3,1] => [[1,2,3],[4]] => 1
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 1
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 1
[1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => 1
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [4,3] => [[1,2,3,4],[5,6,7]] => 1
[1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => 1
[1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 1
[1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [4,2] => [[1,2,3,4],[5,6]] => 1
[1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [4,1] => [[1,2,3,4],[5]] => 1
[1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 1
[1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => [3,2] => [[1,2,3],[4,5]] => 1
[1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => [2,1,1] => [[1,2],[3],[4]] => 1
[1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => [3] => [[1,2,3]] => 1
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => [5] => [2,2,1] => [[1,2],[3,4],[5]] => 1
[1,1,1,1,1,0,0,0,0,1,0,0] => [4] => [2,2] => [[1,2],[3,4]] => 1
[1,1,1,1,1,0,0,0,1,0,0,0] => [3] => [2,1] => [[1,2],[3]] => 1
[1,1,1,1,1,0,0,1,0,0,0,0] => [2] => [2] => [[1,2]] => 1
[1,1,1,1,1,0,1,0,0,0,0,0] => [1] => [1] => [[1]] => 1
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2,1,1] => [5,3,3,1] => [[1,2,3,4,5],[6,7,8],[9,10,11],[12]] => 1
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2,1,1] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1,1,1] => [3,3,3,1,1] => [[1,2,3],[4,5,6],[7,8,9],[10],[11]] => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1,1,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => 1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1,1,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => 1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1,1,1] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1,1,1] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => 1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1,1] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => 1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1,1,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => 1
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1,1,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 6
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [3,3,3,3,2] => [5,3,3,2,1] => [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]] => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,2,2,2,2] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => 1
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,2,1] => [5,3,3,2] => [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]] => 1
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2,1] => [5,3,3] => [[1,2,3,4,5],[6,7,8],[9,10,11]] => 1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2,1] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => 1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2,1] => [9] => [[1,2,3,4,5,6,7,8,9]] => 1
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,1] => [5,4,3,1,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]] => 1
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [4,3,3,1,1] => [5,3,2,1,1] => [[1,2,3,4,5],[6,7,8],[9,10],[11],[12]] => 1
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,1] => [4,3,3,1,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11],[12]] => 1
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1,1] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 1
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [4,2,2,1,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => 1
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1,1] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,1,1] => [5,4,1,1,1] => [[1,2,3,4,5],[6,7,8,9],[10],[11],[12]] => 1
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,1,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => 1
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1,1] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => 1
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,1,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => 1
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => 1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 1
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [6,1,1,1,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => 1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1,1] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => 1
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => 1
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => 1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 1
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 5
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [3,3,3,3] => [3,3,3,2,1] => [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]] => 1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [5,3,3,2] => [5,3,2,2,1] => [[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]] => 1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,3,3,2] => [5,3,2,1] => [[1,2,3,4,5],[6,7,8],[9,10],[11]] => 1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 1
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [4,2,2,2] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => 1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2] => [8] => [[1,2,3,4,5,6,7,8]] => 1
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1] => [5,4,3,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]] => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [6,3,3,1] => [5,4,2,1,1] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]] => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [5,3,3,1] => [3,3,2,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]] => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,3,3,1] => [5,4,1,1] => [[1,2,3,4,5],[6,7,8,9],[10],[11]] => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,3,3,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => 1
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 1
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 1
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [5,2,2,1] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,2,2,1] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => 1
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 1
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1] => [7] => [[1,2,3,4,5,6,7]] => 1
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [5,4,1,1] => [4,3,3,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11]] => 1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,4,1,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [6,3,1,1] => [5,2,2,1,1] => [[1,2,3,4,5],[6,7],[8,9],[10],[11]] => 1
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [5,3,1,1] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => 1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,3,1,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => 1
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,1,1] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [5,2,1,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => 1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => 1
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 1
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1] => [5,1] => [[1,2,3,4,5],[6]] => 1
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,1,1,1] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => 1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 1
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => 1
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1] => [3,1,1] => [[1,2,3],[4],[5]] => 1
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [4,4,4] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 1
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [5,5,3] => [4,3,3,2,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]] => 1
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [5,4,3] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [6,3,3] => [5,4,2,1] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12]] => 1
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [5,3,3] => [3,3,2,2,1] => [[1,2,3],[4,5,6],[7,8],[9,10],[11]] => 1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,3,3] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [3,3,3] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [6,4,2] => [6,4,2] => [[1,2,3,4,5,6],[7,8,9,10],[11,12]] => 1
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,4,2] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => 1
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [5,3,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,3,2] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => 1
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [3,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,2,2] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => 1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [5,2,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,2,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [3,2,2] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,2,2] => [6] => [[1,2,3,4,5,6]] => 1
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [6,5,1] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 1
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,5,1] => [4,3,2,1,1] => [[1,2,3,4],[5,6,7],[8,9],[10],[11]] => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [6,4,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 1
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,4,1] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => 1
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,4,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,3,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => 1
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,3,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 1
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [3,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,2,1] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => 1
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,2,1] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 1
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,2,1] => [5,2] => [[1,2,3,4,5],[6,7]] => 1
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [3,3] => [[1,2,3],[4,5,6]] => 1
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,2,1] => [5] => [[1,2,3,4,5]] => 1
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,1,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => 1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,1,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [3,1,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 1
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,1,1] => [3,1] => [[1,2,3],[4]] => 1
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [6,5] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 1
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,4] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 1
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,4] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,3] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => 1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => 1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [4,3] => [4,3] => [[1,2,3,4],[5,6,7]] => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => 1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [4,2] => [4,2] => [[1,2,3,4],[5,6]] => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [3,2] => [4,1] => [[1,2,3,4],[5]] => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,2] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [4,1] => [3,2] => [[1,2,3],[4,5]] => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [3,1] => [2,1,1] => [[1,2],[3],[4]] => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,1] => [3] => [[1,2,3]] => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6] => [2,2,2] => [[1,2],[3,4],[5,6]] => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [5] => [2,2,1] => [[1,2],[3,4],[5]] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [4] => [2,2] => [[1,2],[3,4]] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [3] => [2,1] => [[1,2],[3]] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2] => [2] => [[1,2]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1] => [1] => [[1]] => 1
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,1,1,1] => [5,3,3,1,1] => [[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]] => 1
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1,1,1] => [5,3,1,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10],[11]] => 1
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1,1,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => 1
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1,1,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => 1
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1,1,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => 1
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => 1
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 1
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 1
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 7
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2,2] => [12] => [[1,2,3,4,5,6,7,8,9,10,11,12]] => 1
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,1,1] => [5,3,3,1] => [[1,2,3,4,5],[6,7,8],[9,10,11],[12]] => 1
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1,1] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => 1
[1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1,1,1] => [3,3,3,1,1] => [[1,2,3],[4,5,6],[7,8,9],[10],[11]] => 1
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => 1
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => 1
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1,1,1] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => 1
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1,1,1] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => 1
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1,1] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => 1
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => 1
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => 1
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => 1
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 1
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => 1
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 6
[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0] => [3,3,3,3,2] => [5,3,3,2,1] => [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]] => 1
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => 1
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [5,3,2,2,1] => [5,3,3,2] => [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]] => 1
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,1] => [5,3,3] => [[1,2,3,4,5],[6,7,8],[9,10,11]] => 1
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,1] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => 1
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1] => [9] => [[1,2,3,4,5,6,7,8,9]] => 1
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [5,4,3,1,1] => [5,4,3,1,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]] => 1
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [4,3,3,1,1] => [5,3,2,1,1] => [[1,2,3,4,5],[6,7,8],[9,10],[11],[12]] => 1
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [5,3,2,1,1] => [4,3,3,1,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11],[12]] => 1
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1,1] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 1
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => 1
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => 1
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,1,1] => [5,4,1,1,1] => [[1,2,3,4,5],[6,7,8,9],[10],[11],[12]] => 1
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => 1
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1,1] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => 1
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,1,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => 1
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => 1
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => 1
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 1
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,1,1,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => 1
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1,1] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => 1
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => 1
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => 1
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 1
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 5
[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0] => [3,3,3,3] => [3,3,3,2,1] => [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]] => 1
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [5,3,3,2] => [5,3,2,2,1] => [[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]] => 1
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2] => [5,3,2,1] => [[1,2,3,4,5],[6,7,8],[9,10],[11]] => 1
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 1
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => 1
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => 1
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2] => [8] => [[1,2,3,4,5,6,7,8]] => 1
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [5,4,3,1] => [5,4,3,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]] => 1
[1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0] => [6,3,3,1] => [5,4,2,1,1] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]] => 1
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [5,3,3,1] => [3,3,2,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]] => 1
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,3,3,1] => [5,4,1,1] => [[1,2,3,4,5],[6,7,8,9],[10],[11]] => 1
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [3,3,3,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => 1
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [5,3,2,1] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 1
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 1
[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0] => [7,2,2,1] => [5,3,2,2] => [[1,2,3,4,5],[6,7,8],[9,10],[11,12]] => 1
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [5,2,2,1] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => 1
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => 1
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 1
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1] => [7] => [[1,2,3,4,5,6,7]] => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0] => [7,4,1,1] => [4,4,3,1,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]] => 1
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,1] => [4,3,3,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11]] => 1
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [4,4,1,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0] => [6,3,1,1] => [5,2,2,1,1] => [[1,2,3,4,5],[6,7],[8,9],[10],[11]] => 1
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,1] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => 1
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => 1
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => 1
[1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0] => [7,2,1,1] => [4,4,1,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10],[11]] => 1
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [6,2,1,1] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => 1
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => 1
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => 1
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 1
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1] => [5,1] => [[1,2,3,4,5],[6]] => 1
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,1,1,1] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => 1
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [6,1,1,1] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => 1
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 1
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => 1
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 1
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1] => [3,1,1] => [[1,2,3],[4],[5]] => 1
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,5,5] => [5,4,3,2,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]] => 1
[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0] => [4,4,4] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 1
[1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0] => [5,5,3] => [4,3,3,2,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]] => 1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0] => [7,4,3] => [5,4,3,2] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]] => 1
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [5,4,3] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0] => [6,3,3] => [5,4,2,1] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12]] => 1
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [5,3,3] => [3,3,2,2,1] => [[1,2,3],[4,5,6],[7,8],[9,10],[11]] => 1
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [4,3,3] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 1
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [3,3,3] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [6,4,2] => [6,4,2] => [[1,2,3,4,5,6],[7,8,9,10],[11,12]] => 1
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [4,4,2] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0] => [7,3,2] => [5,2,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10,11],[12]] => 1
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [5,3,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => 1
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [4,3,2] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => 1
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [3,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [6,2,2] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => 1
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [5,2,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => 1
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [4,2,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 1
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [3,2,2] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [2,2,2] => [6] => [[1,2,3,4,5,6]] => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0] => [6,5,1] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 1
[1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0] => [5,5,1] => [4,3,2,1,1] => [[1,2,3,4],[5,6,7],[8,9],[10],[11]] => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0] => [7,4,1] => [4,3,3,2] => [[1,2,3,4],[5,6,7],[8,9,10],[11,12]] => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0] => [6,4,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 1
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [5,4,1] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => 1
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [4,4,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [6,3,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 1
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [5,3,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => 1
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [4,3,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 1
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [3,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,2,1] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [6,2,1] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => 1
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [5,2,1] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 1
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [4,2,1] => [5,2] => [[1,2,3,4,5],[6,7]] => 1
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,2,1] => [3,3] => [[1,2,3],[4,5,6]] => 1
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [2,2,1] => [5] => [[1,2,3,4,5]] => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,1,1] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [6,1,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => 1
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [5,1,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => 1
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [4,1,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => 1
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [3,1,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 1
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [2,1,1] => [3,1] => [[1,2,3],[4]] => 1
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0] => [7,5] => [4,3,2,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10,11],[12]] => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [6,5] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 1
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [5,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0] => [7,4] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,4] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [5,4] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 1
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,3] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [6,3] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => 1
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [4,3] => [4,3] => [[1,2,3,4],[5,6,7]] => 1
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [3,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,2] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 1
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [4,2] => [4,2] => [[1,2,3,4],[5,6]] => 1
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [3,2] => [4,1] => [[1,2,3,4],[5]] => 1
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [2,2] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,1] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [5,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 1
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [4,1] => [3,2] => [[1,2,3],[4,5]] => 1
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [3,1] => [2,1,1] => [[1,2],[3],[4]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,1] => [3] => [[1,2,3]] => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [6] => [2,2,2] => [[1,2],[3,4],[5,6]] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [5] => [2,2,1] => [[1,2],[3,4],[5]] => 1
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [4] => [2,2] => [[1,2],[3,4]] => 1
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [3] => [2,1] => [[1,2],[3]] => 1
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2] => [2] => [[1,2]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1] => [1] => [[1]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 1
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 8
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [8,1] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => 1
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => 1
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 9
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [10] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [9,1] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => 1
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [8,2] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [8,1,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => 1
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [3,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,2,1,1,1,1,1,1] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => 1
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => 1
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 10
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0] => [9,2] => [4,2,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9,10],[11]] => 1
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0] => [8,3] => [4,3,2,2] => [[1,2,3,4],[5,6,7],[8,9],[10,11]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0] => [8,2,1] => [5,2,2,2] => [[1,2,3,4,5],[6,7],[8,9],[10,11]] => 1
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,1,0] => [8,4] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 1
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0] => [8,3,1] => [4,4,2,1,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11],[12]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0] => [9,4] => [4,4,2,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0] => [8,5] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 1
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,1,0] => [8,4,1] => [5,4,2,2] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]] => 1
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0] => [8,3,3] => [5,4,2,2,1] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0] => [7,7] => [4,4,3,2,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]] => 1
[1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [3,2,2,1,1,1,1] => [5,3,1,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10],[11]] => 1
[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,2,2,1,1,1,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => 1
[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1,1,1,1,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => 1
[1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,2,1,1,1,1,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => 1
[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [4,1,1,1,1,1,1] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => 1
[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [3,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 1
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 1
[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 7
[1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [2,2,2,2,2,2] => [12] => [[1,2,3,4,5,6,7,8,9,10,11,12]] => 1
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [2,2,2,2,1,1] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => 1
[1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [3,3,2,1,1,1] => [3,3,3,1,1] => [[1,2,3],[4,5,6],[7,8,9],[10],[11]] => 1
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,2,2,1,1,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => 1
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1,1,1,1] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => 1
[1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,2,1,1,1,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => 1
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [5,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => 1
[1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => 1
[1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [3,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 1
[1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,1,1,1,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => 1
[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 6
[1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0] => [2,2,2,2,2] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => 1
[1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0] => [5,3,2,2,1] => [5,3,3,2] => [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]] => 1
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [3,2,2,2,1] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => 1
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [2,2,2,2,1] => [9] => [[1,2,3,4,5,6,7,8,9]] => 1
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [3,2,2,1,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => 1
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,2,2,1,1] => [7,1] => [[1,2,3,4,5,6,7],[8]] => 1
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [5,4,1,1,1] => [5,4,1,1,1] => [[1,2,3,4,5],[6,7,8,9],[10],[11],[12]] => 1
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [4,3,1,1,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => 1
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [3,3,1,1,1] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => 1
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [5,2,1,1,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => 1
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1,1,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => 1
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,2,1,1,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 1
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [6,1,1,1,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => 1
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [5,1,1,1,1] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => 1
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,1,1,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 1
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 5
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [3,3,2,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => 1
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [5,4,3,1] => [5,4,3,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]] => 1
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0] => [6,3,3,1] => [5,4,2,1,1] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]] => 1
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [4,3,3,1] => [5,4,1,1] => [[1,2,3,4,5],[6,7,8,9],[10],[11]] => 1
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [3,3,3,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => 1
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [5,3,2,1] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 1
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [4,3,2,1] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [3,3,2,1] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 1
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [4,2,2,1] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => 1
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [3,2,2,1] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 1
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [2,2,2,1] => [7] => [[1,2,3,4,5,6,7]] => 1
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [4,3,1,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => 1
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [3,3,1,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => 1
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [4,2,1,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => 1
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 1
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [2,2,1,1] => [5,1] => [[1,2,3,4,5],[6]] => 1
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,1,1] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => 1
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [6,1,1,1] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => 1
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [5,1,1,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 1
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [4,1,1,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => 1
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [3,1,1,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 1
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,1,1] => [3,1,1] => [[1,2,3],[4],[5]] => 1
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0] => [5,5,5] => [5,4,3,2,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]] => 1
[1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0] => [4,4,4] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 1
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [5,4,3] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 1
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0] => [6,3,3] => [5,4,2,1] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12]] => 1
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [4,3,3] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 1
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [3,3,3] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 1
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [6,4,2] => [6,4,2] => [[1,2,3,4,5,6],[7,8,9,10],[11,12]] => 1
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [4,4,2] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => 1
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [5,3,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => 1
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [4,3,2] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => 1
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [3,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => 1
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [4,2,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 1
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [3,2,2] => [6,1] => [[1,2,3,4,5,6],[7]] => 1
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [2,2,2] => [6] => [[1,2,3,4,5,6]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0] => [6,5,1] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 1
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [5,4,1] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => 1
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [4,4,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 1
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [6,3,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 1
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [5,3,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => 1
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [4,3,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 1
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [3,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [7,2,1] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [6,2,1] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [5,2,1] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [4,2,1] => [5,2] => [[1,2,3,4,5],[6,7]] => 1
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1] => [3,3] => [[1,2,3],[4,5,6]] => 1
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [2,2,1] => [5] => [[1,2,3,4,5]] => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [7,1,1] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [6,1,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => 1
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [4,1,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => 1
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [3,1,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 1
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [2,1,1] => [3,1] => [[1,2,3],[4]] => 1
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0] => [7,5] => [4,3,2,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10,11],[12]] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [5,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 1
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 1
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [7,3] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => 1
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [4,3] => [4,3] => [[1,2,3,4],[5,6,7]] => 1
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [3,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => 1
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [7,2] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => 1
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [4,2] => [4,2] => [[1,2,3,4],[5,6]] => 1
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [3,2] => [4,1] => [[1,2,3,4],[5]] => 1
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [2,2] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [7,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [6,1] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [5,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [4,1] => [3,2] => [[1,2,3],[4,5]] => 1
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [3,1] => [2,1,1] => [[1,2],[3],[4]] => 1
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [2,1] => [3] => [[1,2,3]] => 1
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [7] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0] => [6] => [2,2,2] => [[1,2],[3,4],[5,6]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0] => [5] => [2,2,1] => [[1,2],[3,4],[5]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [4] => [2,2] => [[1,2],[3,4]] => 1
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [3] => [2,1] => [[1,2],[3]] => 1
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [2] => [2] => [[1,2]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1] => [1] => [[1]] => 1
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0] => [2] => [2] => [[1,2]] => 1
[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [2,2,1] => [5] => [[1,2,3,4,5]] => 1
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [3,2] => [4,1] => [[1,2,3,4],[5]] => 1
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [2] => [2] => [[1,2]] => 1
[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 8
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0] => [8] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 1
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0] => [9] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [8,1] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => 1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1] => [1] => [[1]] => 1
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 5
[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 6
[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 7
[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0] => [1] => [1] => [[1]] => 1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [7] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => 1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0] => [6] => [2,2,2] => [[1,2],[3,4],[5,6]] => 1
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0] => [5] => [2,2,1] => [[1,2],[3,4],[5]] => 1
[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0] => [4] => [2,2] => [[1,2],[3,4]] => 1
[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0] => [3] => [2,1] => [[1,2],[3]] => 1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0] => [9,1] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => 1
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0] => [8,2,1] => [5,2,2,2] => [[1,2,3,4,5],[6,7],[8,9],[10,11]] => 1
[1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [2,1,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => 1
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [2,2] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [3,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => 1
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [3,3,3] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 1
[1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0] => [4,4,4] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 1
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,1] => [3,1] => [[1,2,3],[4]] => 1
[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,1,1,1,1,1,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => 1
[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 9
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0] => [8,1,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => 1
[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [3,1,1,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1
[1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [2,2,1,1,1,1,1,1] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => 1
[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1,1,1,1,1,1,1,1,1] => [1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 10
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [3,1] => [2,1,1] => [[1,2],[3],[4]] => 1
[1,1,1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,1,1,1,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => 1
[1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [3,1,1,1,1,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => 1
[1,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [4,1,1,1,1,1] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => 1
[1,1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0] => [5,1,1,1,1,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => 1
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [2,1] => [3] => [[1,2,3]] => 1
[1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0] => [2,1] => [3] => [[1,2,3]] => 1
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,1] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 1
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [3,2,1] => [3,3] => [[1,2,3],[4,5,6]] => 1
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [3] => [2,1] => [[1,2],[3]] => 1
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0] => [7,2,1] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => 1
[1,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [3,2,1,1,1,1,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => 1
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0] => [8,2,1] => [5,2,2,2] => [[1,2,3,4,5],[6,7],[8,9],[10,11]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0] => [7,7] => [4,4,3,2,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]] => 1
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0] => [5,3,2,1] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 1
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,1] => [5,4,3,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]] => 1
[1,1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0] => [3,1] => [2,1,1] => [[1,2],[3],[4]] => 1
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [4,2] => [4,2] => [[1,2,3,4],[5,6]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0] => [6,5,1] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [5,4,1] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => 1
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [4,3,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 1
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [2,2,2] => [6] => [[1,2,3,4,5,6]] => 1
[1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,2,2,2,2,2] => [12] => [[1,2,3,4,5,6,7,8,9,10,11,12]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [7,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [6,1] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [5,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [4,1] => [3,2] => [[1,2,3],[4,5]] => 1
[1,1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,1,1] => [3,1,1] => [[1,2,3],[4],[5]] => 1
[1,1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,1,1,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 1
[1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,1,1,1,1,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => 1
[1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0] => [2,1,1] => [3,1] => [[1,2,3],[4]] => 1
[1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0] => [3,2,2,1] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 1
[1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,1,1] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0] => [3,1,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 1
[1,1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0] => [2,2,1,1] => [5,1] => [[1,2,3,4,5],[6]] => 1
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [3,2,1,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 1
[1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0] => [2,2] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0] => [3,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => 1
[1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0] => [3] => [2,1] => [[1,2],[3]] => 1
[1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0] => [1,1] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0] => [8,1] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => 1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0] => [7,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => 1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0] => [6,1] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0] => [5,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0] => [4,1] => [3,2] => [[1,2,3],[4,5]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [5,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [4,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 1
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [5,3,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => 1
[1,1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0,0] => [2,2,2,1] => [7] => [[1,2,3,4,5,6,7]] => 1
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [3,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => 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
2-conjugate
Description
Return a partition with the same number of odd parts and number of even parts interchanged with the number of cells with zero leg and odd arm length.
This is a special case of an involution that preserves the sequence of non-zero remainders of the parts under division by $s$ and interchanges the number of parts divisible by $s$ and the number of cells with zero leg length and arm length congruent to $s-1$ modulo $s$.
In particular, for $s=1$ the involution is conjugation, hence the name.
Map
to partition
Description
The cut-out partition of a Dyck path.
The partition $\lambda$ associated to a Dyck path is defined to be the complementary partition inside the staircase partition $(n-1,\ldots,2,1)$ when cutting out $D$ considered as a path from $(0,0)$ to $(n,n)$.
In other words, $\lambda_{i}$ is the number of down-steps before the $(n+1-i)$-th up-step of $D$.
This map is a bijection between Dyck paths of size $n$ and partitions inside the staircase partition $(n-1,\ldots,2,1)$.
Map
initial tableau
Description
Sends an integer partition to the standard tableau obtained by filling the numbers $1$ through $n$ row by row.