Identifier
Values
[1,0,1,0] => [1] => [[1]] => 1
[1,0,1,0,1,0] => [2,1] => [[1,3],[2]] => 1
[1,0,1,1,0,0] => [1,1] => [[1],[2]] => 2
[1,1,0,0,1,0] => [2] => [[1,2]] => 1
[1,1,0,1,0,0] => [1] => [[1]] => 1
[1,0,1,0,1,0,1,0] => [3,2,1] => [[1,3,6],[2,5],[4]] => 1
[1,0,1,0,1,1,0,0] => [2,2,1] => [[1,3],[2,5],[4]] => 2
[1,0,1,1,0,0,1,0] => [3,1,1] => [[1,4,5],[2],[3]] => 1
[1,0,1,1,0,1,0,0] => [2,1,1] => [[1,4],[2],[3]] => 1
[1,0,1,1,1,0,0,0] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,0,0,1,0,1,0] => [3,2] => [[1,2,5],[3,4]] => 1
[1,1,0,0,1,1,0,0] => [2,2] => [[1,2],[3,4]] => 2
[1,1,0,1,0,0,1,0] => [3,1] => [[1,3,4],[2]] => 1
[1,1,0,1,0,1,0,0] => [2,1] => [[1,3],[2]] => 1
[1,1,0,1,1,0,0,0] => [1,1] => [[1],[2]] => 2
[1,1,1,0,0,0,1,0] => [3] => [[1,2,3]] => 1
[1,1,1,0,0,1,0,0] => [2] => [[1,2]] => 1
[1,1,1,0,1,0,0,0] => [1] => [[1]] => 1
[1,0,1,0,1,0,1,0,1,0] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 1
[1,0,1,0,1,0,1,1,0,0] => [3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => 2
[1,0,1,0,1,1,0,0,1,0] => [4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => 1
[1,0,1,0,1,1,0,1,0,0] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 1
[1,0,1,0,1,1,1,0,0,0] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 3
[1,0,1,1,0,0,1,0,1,0] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 1
[1,0,1,1,0,0,1,1,0,0] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 2
[1,0,1,1,0,1,0,0,1,0] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 1
[1,0,1,1,0,1,0,1,0,0] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 1
[1,0,1,1,0,1,1,0,0,0] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 2
[1,0,1,1,1,0,0,0,1,0] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 1
[1,0,1,1,1,0,0,1,0,0] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 1
[1,0,1,1,1,0,1,0,0,0] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 1
[1,0,1,1,1,1,0,0,0,0] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,0,0,1,0,1,0,1,0] => [4,3,2] => [[1,2,5,9],[3,4,8],[6,7]] => 1
[1,1,0,0,1,0,1,1,0,0] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 2
[1,1,0,0,1,1,0,0,1,0] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 1
[1,1,0,0,1,1,0,1,0,0] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 1
[1,1,0,0,1,1,1,0,0,0] => [2,2,2] => [[1,2],[3,4],[5,6]] => 3
[1,1,0,1,0,0,1,0,1,0] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 1
[1,1,0,1,0,0,1,1,0,0] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 2
[1,1,0,1,0,1,0,0,1,0] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 1
[1,1,0,1,0,1,0,1,0,0] => [3,2,1] => [[1,3,6],[2,5],[4]] => 1
[1,1,0,1,0,1,1,0,0,0] => [2,2,1] => [[1,3],[2,5],[4]] => 2
[1,1,0,1,1,0,0,0,1,0] => [4,1,1] => [[1,4,5,6],[2],[3]] => 1
[1,1,0,1,1,0,0,1,0,0] => [3,1,1] => [[1,4,5],[2],[3]] => 1
[1,1,0,1,1,0,1,0,0,0] => [2,1,1] => [[1,4],[2],[3]] => 1
[1,1,0,1,1,1,0,0,0,0] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,0,0,0,1,0,1,0] => [4,3] => [[1,2,3,7],[4,5,6]] => 1
[1,1,1,0,0,0,1,1,0,0] => [3,3] => [[1,2,3],[4,5,6]] => 2
[1,1,1,0,0,1,0,0,1,0] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,1,0,0,1,0,1,0,0] => [3,2] => [[1,2,5],[3,4]] => 1
[1,1,1,0,0,1,1,0,0,0] => [2,2] => [[1,2],[3,4]] => 2
[1,1,1,0,1,0,0,0,1,0] => [4,1] => [[1,3,4,5],[2]] => 1
[1,1,1,0,1,0,0,1,0,0] => [3,1] => [[1,3,4],[2]] => 1
[1,1,1,0,1,0,1,0,0,0] => [2,1] => [[1,3],[2]] => 1
[1,1,1,0,1,1,0,0,0,0] => [1,1] => [[1],[2]] => 2
[1,1,1,1,0,0,0,0,1,0] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,0,0,0,1,0,0] => [3] => [[1,2,3]] => 1
[1,1,1,1,0,0,1,0,0,0] => [2] => [[1,2]] => 1
[1,1,1,1,0,1,0,0,0,0] => [1] => [[1]] => 1
[1,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]] => 1
[1,0,1,0,1,0,1,0,1,1,0,0] => [4,4,3,2,1] => [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]] => 2
[1,0,1,0,1,0,1,1,0,0,1,0] => [5,3,3,2,1] => [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]] => 1
[1,0,1,0,1,0,1,1,0,1,0,0] => [4,3,3,2,1] => [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]] => 1
[1,0,1,0,1,0,1,1,1,0,0,0] => [3,3,3,2,1] => [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]] => 3
[1,0,1,0,1,1,0,0,1,0,1,0] => [5,4,2,2,1] => [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]] => 1
[1,0,1,0,1,1,0,0,1,1,0,0] => [4,4,2,2,1] => [[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]] => 2
[1,0,1,0,1,1,0,1,0,0,1,0] => [5,3,2,2,1] => [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]] => 1
[1,0,1,0,1,1,0,1,0,1,0,0] => [4,3,2,2,1] => [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]] => 1
[1,0,1,0,1,1,0,1,1,0,0,0] => [3,3,2,2,1] => [[1,3,8],[2,5,11],[4,7],[6,10],[9]] => 2
[1,0,1,0,1,1,1,0,0,0,1,0] => [5,2,2,2,1] => [[1,3,10,11,12],[2,5],[4,7],[6,9],[8]] => 1
[1,0,1,0,1,1,1,0,0,1,0,0] => [4,2,2,2,1] => [[1,3,10,11],[2,5],[4,7],[6,9],[8]] => 1
[1,0,1,0,1,1,1,0,1,0,0,0] => [3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => 1
[1,0,1,0,1,1,1,1,0,0,0,0] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 4
[1,0,1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,1] => [[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]] => 1
[1,0,1,1,0,0,1,0,1,1,0,0] => [4,4,3,1,1] => [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]] => 2
[1,0,1,1,0,0,1,1,0,0,1,0] => [5,3,3,1,1] => [[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]] => 1
[1,0,1,1,0,0,1,1,0,1,0,0] => [4,3,3,1,1] => [[1,4,5,12],[2,7,8],[3,10,11],[6],[9]] => 1
[1,0,1,1,0,0,1,1,1,0,0,0] => [3,3,3,1,1] => [[1,4,5],[2,7,8],[3,10,11],[6],[9]] => 3
[1,0,1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,1] => [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]] => 1
[1,0,1,1,0,1,0,0,1,1,0,0] => [4,4,2,1,1] => [[1,4,7,8],[2,6,11,12],[3,10],[5],[9]] => 2
[1,0,1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,1] => [[1,4,7,11,12],[2,6,10],[3,9],[5],[8]] => 1
[1,0,1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,1] => [[1,4,7,11],[2,6,10],[3,9],[5],[8]] => 1
[1,0,1,1,0,1,0,1,1,0,0,0] => [3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => 2
[1,0,1,1,0,1,1,0,0,0,1,0] => [5,2,2,1,1] => [[1,4,9,10,11],[2,6],[3,8],[5],[7]] => 1
[1,0,1,1,0,1,1,0,0,1,0,0] => [4,2,2,1,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => 1
[1,0,1,1,0,1,1,0,1,0,0,0] => [3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => 1
[1,0,1,1,0,1,1,1,0,0,0,0] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 3
[1,0,1,1,1,0,0,0,1,0,1,0] => [5,4,1,1,1] => [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]] => 1
[1,0,1,1,1,0,0,0,1,1,0,0] => [4,4,1,1,1] => [[1,5,6,7],[2,9,10,11],[3],[4],[8]] => 2
[1,0,1,1,1,0,0,1,0,0,1,0] => [5,3,1,1,1] => [[1,5,6,10,11],[2,8,9],[3],[4],[7]] => 1
[1,0,1,1,1,0,0,1,0,1,0,0] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 1
[1,0,1,1,1,0,0,1,1,0,0,0] => [3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => 2
[1,0,1,1,1,0,1,0,0,0,1,0] => [5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => 1
[1,0,1,1,1,0,1,0,0,1,0,0] => [4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => 1
[1,0,1,1,1,0,1,0,1,0,0,0] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[1,0,1,1,1,0,1,1,0,0,0,0] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 2
[1,0,1,1,1,1,0,0,0,0,1,0] => [5,1,1,1,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => 1
[1,0,1,1,1,1,0,0,0,1,0,0] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 1
[1,0,1,1,1,1,0,0,1,0,0,0] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 1
[1,0,1,1,1,1,0,1,0,0,0,0] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 1
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 5
>>> Load all 756 entries. <<<
[1,1,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2] => [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]] => 1
[1,1,0,0,1,0,1,0,1,1,0,0] => [4,4,3,2] => [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]] => 2
[1,1,0,0,1,0,1,1,0,0,1,0] => [5,3,3,2] => [[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]] => 1
[1,1,0,0,1,0,1,1,0,1,0,0] => [4,3,3,2] => [[1,2,5,12],[3,4,8],[6,7,11],[9,10]] => 1
[1,1,0,0,1,0,1,1,1,0,0,0] => [3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => 3
[1,1,0,0,1,1,0,0,1,0,1,0] => [5,4,2,2] => [[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]] => 1
[1,1,0,0,1,1,0,0,1,1,0,0] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 2
[1,1,0,0,1,1,0,1,0,0,1,0] => [5,3,2,2] => [[1,2,7,11,12],[3,4,10],[5,6],[8,9]] => 1
[1,1,0,0,1,1,0,1,0,1,0,0] => [4,3,2,2] => [[1,2,7,11],[3,4,10],[5,6],[8,9]] => 1
[1,1,0,0,1,1,0,1,1,0,0,0] => [3,3,2,2] => [[1,2,7],[3,4,10],[5,6],[8,9]] => 2
[1,1,0,0,1,1,1,0,0,0,1,0] => [5,2,2,2] => [[1,2,9,10,11],[3,4],[5,6],[7,8]] => 1
[1,1,0,0,1,1,1,0,0,1,0,0] => [4,2,2,2] => [[1,2,9,10],[3,4],[5,6],[7,8]] => 1
[1,1,0,0,1,1,1,0,1,0,0,0] => [3,2,2,2] => [[1,2,9],[3,4],[5,6],[7,8]] => 1
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 4
[1,1,0,1,0,0,1,0,1,0,1,0] => [5,4,3,1] => [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]] => 1
[1,1,0,1,0,0,1,0,1,1,0,0] => [4,4,3,1] => [[1,3,4,8],[2,6,7,12],[5,10,11],[9]] => 2
[1,1,0,1,0,0,1,1,0,0,1,0] => [5,3,3,1] => [[1,3,4,11,12],[2,6,7],[5,9,10],[8]] => 1
[1,1,0,1,0,0,1,1,0,1,0,0] => [4,3,3,1] => [[1,3,4,11],[2,6,7],[5,9,10],[8]] => 1
[1,1,0,1,0,0,1,1,1,0,0,0] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 3
[1,1,0,1,0,1,0,0,1,0,1,0] => [5,4,2,1] => [[1,3,6,7,12],[2,5,10,11],[4,9],[8]] => 1
[1,1,0,1,0,1,0,0,1,1,0,0] => [4,4,2,1] => [[1,3,6,7],[2,5,10,11],[4,9],[8]] => 2
[1,1,0,1,0,1,0,1,0,0,1,0] => [5,3,2,1] => [[1,3,6,10,11],[2,5,9],[4,8],[7]] => 1
[1,1,0,1,0,1,0,1,0,1,0,0] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 1
[1,1,0,1,0,1,0,1,1,0,0,0] => [3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => 2
[1,1,0,1,0,1,1,0,0,0,1,0] => [5,2,2,1] => [[1,3,8,9,10],[2,5],[4,7],[6]] => 1
[1,1,0,1,0,1,1,0,0,1,0,0] => [4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => 1
[1,1,0,1,0,1,1,0,1,0,0,0] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 1
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 3
[1,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,1] => [[1,4,5,6,11],[2,8,9,10],[3],[7]] => 1
[1,1,0,1,1,0,0,0,1,1,0,0] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 2
[1,1,0,1,1,0,0,1,0,0,1,0] => [5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => 1
[1,1,0,1,1,0,0,1,0,1,0,0] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 1
[1,1,0,1,1,0,0,1,1,0,0,0] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 2
[1,1,0,1,1,0,1,0,0,0,1,0] => [5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => 1
[1,1,0,1,1,0,1,0,0,1,0,0] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 1
[1,1,0,1,1,0,1,0,1,0,0,0] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 1
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 2
[1,1,0,1,1,1,0,0,0,0,1,0] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 1
[1,1,0,1,1,1,0,0,0,1,0,0] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 1
[1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 1
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 1
[1,1,0,1,1,1,1,0,0,0,0,0] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,1,0,0,0,1,0,1,0,1,0] => [5,4,3] => [[1,2,3,7,12],[4,5,6,11],[8,9,10]] => 1
[1,1,1,0,0,0,1,0,1,1,0,0] => [4,4,3] => [[1,2,3,7],[4,5,6,11],[8,9,10]] => 2
[1,1,1,0,0,0,1,1,0,0,1,0] => [5,3,3] => [[1,2,3,10,11],[4,5,6],[7,8,9]] => 1
[1,1,1,0,0,0,1,1,0,1,0,0] => [4,3,3] => [[1,2,3,10],[4,5,6],[7,8,9]] => 1
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
[1,1,1,0,0,1,0,0,1,0,1,0] => [5,4,2] => [[1,2,5,6,11],[3,4,9,10],[7,8]] => 1
[1,1,1,0,0,1,0,0,1,1,0,0] => [4,4,2] => [[1,2,5,6],[3,4,9,10],[7,8]] => 2
[1,1,1,0,0,1,0,1,0,0,1,0] => [5,3,2] => [[1,2,5,9,10],[3,4,8],[6,7]] => 1
[1,1,1,0,0,1,0,1,0,1,0,0] => [4,3,2] => [[1,2,5,9],[3,4,8],[6,7]] => 1
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 2
[1,1,1,0,0,1,1,0,0,0,1,0] => [5,2,2] => [[1,2,7,8,9],[3,4],[5,6]] => 1
[1,1,1,0,0,1,1,0,0,1,0,0] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 1
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 1
[1,1,1,0,0,1,1,1,0,0,0,0] => [2,2,2] => [[1,2],[3,4],[5,6]] => 3
[1,1,1,0,1,0,0,0,1,0,1,0] => [5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => 1
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,4,1] => [[1,3,4,5],[2,7,8,9],[6]] => 2
[1,1,1,0,1,0,0,1,0,0,1,0] => [5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => 1
[1,1,1,0,1,0,0,1,0,1,0,0] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 1
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 2
[1,1,1,0,1,0,1,0,0,0,1,0] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 1
[1,1,1,0,1,0,1,0,0,1,0,0] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 1
[1,1,1,0,1,0,1,0,1,0,0,0] => [3,2,1] => [[1,3,6],[2,5],[4]] => 1
[1,1,1,0,1,0,1,1,0,0,0,0] => [2,2,1] => [[1,3],[2,5],[4]] => 2
[1,1,1,0,1,1,0,0,0,0,1,0] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 1
[1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,1] => [[1,4,5,6],[2],[3]] => 1
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,1,1] => [[1,4,5],[2],[3]] => 1
[1,1,1,0,1,1,0,1,0,0,0,0] => [2,1,1] => [[1,4],[2],[3]] => 1
[1,1,1,0,1,1,1,0,0,0,0,0] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,0,0,0,0,1,0,1,0] => [5,4] => [[1,2,3,4,9],[5,6,7,8]] => 1
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
[1,1,1,1,0,0,0,1,0,0,1,0] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 1
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,3] => [[1,2,3,7],[4,5,6]] => 1
[1,1,1,1,0,0,0,1,1,0,0,0] => [3,3] => [[1,2,3],[4,5,6]] => 2
[1,1,1,1,0,0,1,0,0,0,1,0] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,1,0,0,1,0,0,1,0,0] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,1,1,0,0,1,0,1,0,0,0] => [3,2] => [[1,2,5],[3,4]] => 1
[1,1,1,1,0,0,1,1,0,0,0,0] => [2,2] => [[1,2],[3,4]] => 2
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,1] => [[1,3,4,5,6],[2]] => 1
[1,1,1,1,0,1,0,0,0,1,0,0] => [4,1] => [[1,3,4,5],[2]] => 1
[1,1,1,1,0,1,0,0,1,0,0,0] => [3,1] => [[1,3,4],[2]] => 1
[1,1,1,1,0,1,0,1,0,0,0,0] => [2,1] => [[1,3],[2]] => 1
[1,1,1,1,0,1,1,0,0,0,0,0] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => [5] => [[1,2,3,4,5]] => 1
[1,1,1,1,1,0,0,0,0,1,0,0] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,1,0,0,0,1,0,0,0] => [3] => [[1,2,3]] => 1
[1,1,1,1,1,0,0,1,0,0,0,0] => [2] => [[1,2]] => 1
[1,1,1,1,1,0,1,0,0,0,0,0] => [1] => [[1]] => 1
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2,1,1] => [[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]] => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => 1
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => 1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 1
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1,1,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1,1,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 1
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 1
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 6
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1] => [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]] => 1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [4,4,3,2,1] => [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]] => 2
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [5,3,3,2,1] => [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]] => 1
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [4,3,3,2,1] => [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]] => 1
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,3,3,2,1] => [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]] => 3
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [5,4,2,2,1] => [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]] => 1
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [4,4,2,2,1] => [[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]] => 2
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,2,1] => [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]] => 1
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,2,1] => [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]] => 1
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2,1] => [[1,3,8],[2,5,11],[4,7],[6,10],[9]] => 2
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [5,2,2,2,1] => [[1,3,10,11,12],[2,5],[4,7],[6,9],[8]] => 1
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [4,2,2,2,1] => [[1,3,10,11],[2,5],[4,7],[6,9],[8]] => 1
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => 1
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 4
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,1] => [[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]] => 1
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [4,4,3,1,1] => [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]] => 2
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [5,3,3,1,1] => [[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]] => 1
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [4,3,3,1,1] => [[1,4,5,12],[2,7,8],[3,10,11],[6],[9]] => 1
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,3,3,1,1] => [[1,4,5],[2,7,8],[3,10,11],[6],[9]] => 3
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,1] => [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]] => 1
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [4,4,2,1,1] => [[1,4,7,8],[2,6,11,12],[3,10],[5],[9]] => 2
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,1] => [[1,4,7,11,12],[2,6,10],[3,9],[5],[8]] => 1
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,1] => [[1,4,7,11],[2,6,10],[3,9],[5],[8]] => 1
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => 2
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [5,2,2,1,1] => [[1,4,9,10,11],[2,6],[3,8],[5],[7]] => 1
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [4,2,2,1,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => 1
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => 1
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,1,1] => [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]] => 1
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [4,4,1,1,1] => [[1,5,6,7],[2,9,10,11],[3],[4],[8]] => 2
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,1,1] => [[1,5,6,10,11],[2,8,9],[3],[4],[7]] => 1
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 1
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => 2
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => 1
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => 1
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 2
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [6,1,1,1,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 1
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => 1
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 1
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 1
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 5
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2] => [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]] => 1
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [4,4,3,2] => [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]] => 2
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [5,3,3,2] => [[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]] => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [4,3,3,2] => [[1,2,5,12],[3,4,8],[6,7,11],[9,10]] => 1
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => 3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [5,4,2,2] => [[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]] => 1
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 2
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [5,3,2,2] => [[1,2,7,11,12],[3,4,10],[5,6],[8,9]] => 1
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [4,3,2,2] => [[1,2,7,11],[3,4,10],[5,6],[8,9]] => 1
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [3,3,2,2] => [[1,2,7],[3,4,10],[5,6],[8,9]] => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [5,2,2,2] => [[1,2,9,10,11],[3,4],[5,6],[7,8]] => 1
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [4,2,2,2] => [[1,2,9,10],[3,4],[5,6],[7,8]] => 1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [3,2,2,2] => [[1,2,9],[3,4],[5,6],[7,8]] => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 4
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1] => [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]] => 1
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,4,3,1] => [[1,3,4,8],[2,6,7,12],[5,10,11],[9]] => 2
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [5,3,3,1] => [[1,3,4,11,12],[2,6,7],[5,9,10],[8]] => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,3,3,1] => [[1,3,4,11],[2,6,7],[5,9,10],[8]] => 1
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 3
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1] => [[1,3,6,7,12],[2,5,10,11],[4,9],[8]] => 1
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,4,2,1] => [[1,3,6,7],[2,5,10,11],[4,9],[8]] => 2
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1] => [[1,3,6,10,11],[2,5,9],[4,8],[7]] => 1
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 1
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => 2
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [5,2,2,1] => [[1,3,8,9,10],[2,5],[4,7],[6]] => 1
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => 1
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 1
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 3
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [5,4,1,1] => [[1,4,5,6,11],[2,8,9,10],[3],[7]] => 1
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 2
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => 1
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 1
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 2
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => 1
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => 1
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 1
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 1
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [6,1,1,1] => [[1,5,6,7,8,9],[2],[3],[4]] => 1
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 1
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 1
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 1
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [5,4,3] => [[1,2,3,7,12],[4,5,6,11],[8,9,10]] => 1
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [4,4,3] => [[1,2,3,7],[4,5,6,11],[8,9,10]] => 2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [5,3,3] => [[1,2,3,10,11],[4,5,6],[7,8,9]] => 1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [4,3,3] => [[1,2,3,10],[4,5,6],[7,8,9]] => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [6,4,2] => [[1,2,5,6,11,12],[3,4,9,10],[7,8]] => 1
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [5,4,2] => [[1,2,5,6,11],[3,4,9,10],[7,8]] => 1
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [4,4,2] => [[1,2,5,6],[3,4,9,10],[7,8]] => 2
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [5,3,2] => [[1,2,5,9,10],[3,4,8],[6,7]] => 1
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [4,3,2] => [[1,2,5,9],[3,4,8],[6,7]] => 1
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [6,2,2] => [[1,2,7,8,9,10],[3,4],[5,6]] => 1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [5,2,2] => [[1,2,7,8,9],[3,4],[5,6]] => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 1
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [2,2,2] => [[1,2],[3,4],[5,6]] => 3
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => 1
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [4,4,1] => [[1,3,4,5],[2,7,8,9],[6]] => 2
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [6,3,1] => [[1,3,4,8,9,10],[2,6,7],[5]] => 1
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => 1
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 1
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 2
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [6,2,1] => [[1,3,6,7,8,9],[2,5],[4]] => 1
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 1
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 1
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [3,2,1] => [[1,3,6],[2,5],[4]] => 1
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [2,2,1] => [[1,3],[2,5],[4]] => 2
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 1
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [4,1,1] => [[1,4,5,6],[2],[3]] => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [3,1,1] => [[1,4,5],[2],[3]] => 1
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [2,1,1] => [[1,4],[2],[3]] => 1
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [6,4] => [[1,2,3,4,9,10],[5,6,7,8]] => 1
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [5,4] => [[1,2,3,4,9],[5,6,7,8]] => 1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [6,3] => [[1,2,3,7,8,9],[4,5,6]] => 1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [4,3] => [[1,2,3,7],[4,5,6]] => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [3,3] => [[1,2,3],[4,5,6]] => 2
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [3,2] => [[1,2,5],[3,4]] => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [2,2] => [[1,2],[3,4]] => 2
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [5,1] => [[1,3,4,5,6],[2]] => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [4,1] => [[1,3,4,5],[2]] => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [3,1] => [[1,3,4],[2]] => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [2,1] => [[1,3],[2]] => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6] => [[1,2,3,4,5,6]] => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [5] => [[1,2,3,4,5]] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [3] => [[1,2,3]] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [2] => [[1,2]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1] => [[1]] => 1
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 3
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1,1,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 1
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1,1,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => 2
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1,1,1] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 1
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1,1,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 1
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 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],[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] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 6
[1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,1,1] => [[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]] => 2
[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => 4
[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => 1
[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => 3
[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 2
[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => 1
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 1
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => 2
[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1,1,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 1
[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 1
[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 1
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => 1
[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 6
[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 5
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2,1] => [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]] => 1
[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0] => [4,4,3,2,1] => [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]] => 2
[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0] => [5,3,3,2,1] => [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]] => 1
[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0] => [4,3,3,2,1] => [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]] => 1
[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2,1] => [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]] => 3
[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0] => [5,4,2,2,1] => [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]] => 1
[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0] => [4,4,2,2,1] => [[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]] => 2
[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0] => [5,3,2,2,1] => [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]] => 1
[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0] => [4,3,2,2,1] => [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]] => 1
[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2,1] => [[1,3,8],[2,5,11],[4,7],[6,10],[9]] => 2
[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0] => [5,2,2,2,1] => [[1,3,10,11,12],[2,5],[4,7],[6,9],[8]] => 1
[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2,1] => [[1,3,10,11],[2,5],[4,7],[6,9],[8]] => 1
[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => 1
[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0] => [5,4,3,1,1] => [[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]] => 1
[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0] => [4,4,3,1,1] => [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]] => 2
[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0] => [5,3,3,1,1] => [[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]] => 1
[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0] => [4,3,3,1,1] => [[1,4,5,12],[2,7,8],[3,10,11],[6],[9]] => 1
[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0] => [3,3,3,1,1] => [[1,4,5],[2,7,8],[3,10,11],[6],[9]] => 3
[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0] => [5,4,2,1,1] => [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]] => 1
[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0] => [4,4,2,1,1] => [[1,4,7,8],[2,6,11,12],[3,10],[5],[9]] => 2
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [5,3,2,1,1] => [[1,4,7,11,12],[2,6,10],[3,9],[5],[8]] => 1
[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1,1] => [[1,4,7,11],[2,6,10],[3,9],[5],[8]] => 1
[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => 2
[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0] => [5,2,2,1,1] => [[1,4,9,10,11],[2,6],[3,8],[5],[7]] => 1
[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => 1
[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => 1
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 3
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,1,1] => [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]] => 1
[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0] => [4,4,1,1,1] => [[1,5,6,7],[2,9,10,11],[3],[4],[8]] => 2
[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,1,1] => [[1,5,6,10,11],[2,8,9],[3],[4],[7]] => 1
[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 1
[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => 2
[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => 1
[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => 1
[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0] => [6,1,1,1,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 1
[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => 1
[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => 1
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => 1
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 1
[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 5
[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0] => [5,4,3,2] => [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]] => 1
[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0] => [4,4,3,2] => [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]] => 2
[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0] => [5,3,3,2] => [[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]] => 1
[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0] => [4,3,3,2] => [[1,2,5,12],[3,4,8],[6,7,11],[9,10]] => 1
[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0] => [3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => 3
[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0] => [5,4,2,2] => [[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]] => 1
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 2
[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0] => [5,3,2,2] => [[1,2,7,11,12],[3,4,10],[5,6],[8,9]] => 1
[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0] => [4,3,2,2] => [[1,2,7,11],[3,4,10],[5,6],[8,9]] => 1
[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0] => [3,3,2,2] => [[1,2,7],[3,4,10],[5,6],[8,9]] => 2
[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0] => [5,2,2,2] => [[1,2,9,10,11],[3,4],[5,6],[7,8]] => 1
[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0] => [4,2,2,2] => [[1,2,9,10],[3,4],[5,6],[7,8]] => 1
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [3,2,2,2] => [[1,2,9],[3,4],[5,6],[7,8]] => 1
[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 4
[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0] => [5,4,3,1] => [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]] => 1
[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0] => [4,4,3,1] => [[1,3,4,8],[2,6,7,12],[5,10,11],[9]] => 2
[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0] => [5,3,3,1] => [[1,3,4,11,12],[2,6,7],[5,9,10],[8]] => 1
[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0] => [4,3,3,1] => [[1,3,4,11],[2,6,7],[5,9,10],[8]] => 1
[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 3
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => [5,4,2,1] => [[1,3,6,7,12],[2,5,10,11],[4,9],[8]] => 1
[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0] => [4,4,2,1] => [[1,3,6,7],[2,5,10,11],[4,9],[8]] => 2
[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0] => [5,3,2,1] => [[1,3,6,10,11],[2,5,9],[4,8],[7]] => 1
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 1
[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0] => [3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => 2
[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0] => [5,2,2,1] => [[1,3,8,9,10],[2,5],[4,7],[6]] => 1
[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0] => [4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => 1
[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 1
[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 3
[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0] => [5,4,1,1] => [[1,4,5,6,11],[2,8,9,10],[3],[7]] => 1
[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0] => [4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => 2
[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0] => [5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => 1
[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 1
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 2
[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0] => [6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => 1
[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0] => [5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => 1
[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 1
[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 1
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [7,1,1,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 1
[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0] => [6,1,1,1] => [[1,5,6,7,8,9],[2],[3],[4]] => 1
[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 1
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 1
[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 1
[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 1
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0] => [5,4,3] => [[1,2,3,7,12],[4,5,6,11],[8,9,10]] => 1
[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0] => [4,4,3] => [[1,2,3,7],[4,5,6,11],[8,9,10]] => 2
[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0] => [5,3,3] => [[1,2,3,10,11],[4,5,6],[7,8,9]] => 1
[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0] => [4,3,3] => [[1,2,3,10],[4,5,6],[7,8,9]] => 1
[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [6,4,2] => [[1,2,5,6,11,12],[3,4,9,10],[7,8]] => 1
[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0] => [5,4,2] => [[1,2,5,6,11],[3,4,9,10],[7,8]] => 1
[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0] => [4,4,2] => [[1,2,5,6],[3,4,9,10],[7,8]] => 2
[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0] => [5,3,2] => [[1,2,5,9,10],[3,4,8],[6,7]] => 1
[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0] => [4,3,2] => [[1,2,5,9],[3,4,8],[6,7]] => 1
[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 2
[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0] => [6,2,2] => [[1,2,7,8,9,10],[3,4],[5,6]] => 1
[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0] => [5,2,2] => [[1,2,7,8,9],[3,4],[5,6]] => 1
[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 1
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 1
[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0] => [2,2,2] => [[1,2],[3,4],[5,6]] => 3
[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0] => [5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => 1
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [4,4,1] => [[1,3,4,5],[2,7,8,9],[6]] => 2
[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0] => [6,3,1] => [[1,3,4,8,9,10],[2,6,7],[5]] => 1
[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0] => [5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => 1
[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 1
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 2
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [7,2,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [6,2,1] => [[1,3,6,7,8,9],[2,5],[4]] => 1
[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 1
[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 1
[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0] => [3,2,1] => [[1,3,6],[2,5],[4]] => 1
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [2,2,1] => [[1,3],[2,5],[4]] => 2
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [7,1,1] => [[1,4,5,6,7,8,9],[2],[3]] => 1
[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 1
[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0] => [5,1,1] => [[1,4,5,6,7],[2],[3]] => 1
[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0] => [4,1,1] => [[1,4,5,6],[2],[3]] => 1
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [3,1,1] => [[1,4,5],[2],[3]] => 1
[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0] => [2,1,1] => [[1,4],[2],[3]] => 1
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,4] => [[1,2,3,4,9,10],[5,6,7,8]] => 1
[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0] => [5,4] => [[1,2,3,4,9],[5,6,7,8]] => 1
[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [7,3] => [[1,2,3,7,8,9,10],[4,5,6]] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [6,3] => [[1,2,3,7,8,9],[4,5,6]] => 1
[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0] => [5,3] => [[1,2,3,7,8],[4,5,6]] => 1
[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0] => [4,3] => [[1,2,3,7],[4,5,6]] => 1
[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0] => [3,3] => [[1,2,3],[4,5,6]] => 2
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [7,2] => [[1,2,5,6,7,8,9],[3,4]] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,2] => [[1,2,5,6,7,8],[3,4]] => 1
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [5,2] => [[1,2,5,6,7],[3,4]] => 1
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [3,2] => [[1,2,5],[3,4]] => 1
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [2,2] => [[1,2],[3,4]] => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0] => [5,1] => [[1,3,4,5,6],[2]] => 1
[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0] => [4,1] => [[1,3,4,5],[2]] => 1
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0] => [3,1] => [[1,3,4],[2]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [2,1] => [[1,3],[2]] => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7] => [[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] => [[1,2,3,4,5,6]] => 1
[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0] => [5] => [[1,2,3,4,5]] => 1
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [4] => [[1,2,3,4]] => 1
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0] => [3] => [[1,2,3]] => 1
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [2] => [[1,2]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1] => [[1]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8] => [[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],[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] => [[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] => [[1,3,4,5,6,7,8,9],[2]] => 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] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 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],[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] => [[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] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [8,2] => [[1,2,5,6,7,8,9,10],[3,4]] => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [8,1,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => 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] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 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] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 2
[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] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 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],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 10
[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] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => 3
[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] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 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] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => 2
[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] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 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] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 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] => [[1,8],[2],[3],[4],[5],[6],[7]] => 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],[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] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 6
[1,1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0] => [2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => 4
[1,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => 3
[1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => 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] => [[1,6],[2,8],[3],[4],[5],[7]] => 2
[1,1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [5,1,1,1,1,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 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] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 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] => [[1,7,8],[2],[3],[4],[5],[6]] => 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] => [[1,7],[2],[3],[4],[5],[6]] => 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],[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] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 5
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2,1] => [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]] => 1
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [4,4,3,2,1] => [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]] => 2
[1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0,0] => [5,3,3,2,1] => [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]] => 1
[1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0] => [4,3,3,2,1] => [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]] => 1
[1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0] => [3,3,3,2,1] => [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]] => 3
[1,1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0,0] => [5,4,2,2,1] => [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[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] => [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]] => 1
[1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0] => [4,3,2,2,1] => [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]] => 1
[1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0] => [3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => 1
[1,1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 4
[1,1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0,0] => [4,4,3,1,1] => [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]] => 2
[1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,0] => [5,4,2,1,1] => [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]] => 1
[1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0] => [4,3,2,1,1] => [[1,4,7,11],[2,6,10],[3,9],[5],[8]] => 1
[1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0] => [3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => 1
[1,1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0,0] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 3
[1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0] => [5,4,1,1,1] => [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]] => 1
[1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0] => [4,4,1,1,1] => [[1,5,6,7],[2,9,10,11],[3],[4],[8]] => 2
[1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0,0] => [4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => 1
[1,1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0,0] => [3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => 2
[1,1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,0] => [5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => 1
[1,1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => 1
[1,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,0] => [2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => 2
[1,1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0] => [6,1,1,1,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 1
[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0] => [5,1,1,1,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => 1
[1,1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => 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],[2],[3],[4],[5]] => 5
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [5,4,3,2] => [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]] => 1
[1,1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0] => [4,4,3,2] => [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]] => 2
[1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 2
[1,1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0,0] => [3,3,2,2] => [[1,2,7],[3,4,10],[5,6],[8,9]] => 2
[1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0] => [5,2,2,2] => [[1,2,9,10,11],[3,4],[5,6],[7,8]] => 1
[1,1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0] => [5,4,3,1] => [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]] => 1
[1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0] => [4,3,3,1] => [[1,3,4,11],[2,6,7],[5,9,10],[8]] => 1
[1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 3
[1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0] => [5,4,2,1] => [[1,3,6,7,12],[2,5,10,11],[4,9],[8]] => 1
[1,1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0] => [4,4,2,1] => [[1,3,6,7],[2,5,10,11],[4,9],[8]] => 2
[1,1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0,0] => [5,3,2,1] => [[1,3,6,10,11],[2,5,9],[4,8],[7]] => 1
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 1
[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => 2
[1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0] => [4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => 1
[1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => 1
[1,1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0,0] => [2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => 3
[1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0] => [4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => 1
[1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0] => [3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => 2
[1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0] => [4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => 1
[1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 1
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 2
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0] => [7,1,1,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 1
[1,1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0] => [6,1,1,1] => [[1,5,6,7,8,9],[2],[3],[4]] => 1
[1,1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0] => [5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => 1
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => 1
[1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0] => [3,1,1,1] => [[1,5,6],[2],[3],[4]] => 1
[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0] => [2,1,1,1] => [[1,5],[2],[3],[4]] => 1
[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
[1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0] => [5,4,3] => [[1,2,3,7,12],[4,5,6,11],[8,9,10]] => 1
[1,1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0] => [4,4,3] => [[1,2,3,7],[4,5,6,11],[8,9,10]] => 2
[1,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0] => [4,3,3] => [[1,2,3,10],[4,5,6],[7,8,9]] => 1
[1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0] => [6,4,2] => [[1,2,5,6,11,12],[3,4,9,10],[7,8]] => 1
[1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0] => [5,4,2] => [[1,2,5,6,11],[3,4,9,10],[7,8]] => 1
[1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0,0] => [4,4,2] => [[1,2,5,6],[3,4,9,10],[7,8]] => 2
[1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0] => [5,3,2] => [[1,2,5,9,10],[3,4,8],[6,7]] => 1
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0] => [4,3,2] => [[1,2,5,9],[3,4,8],[6,7]] => 1
[1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 2
[1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0] => [4,2,2] => [[1,2,7,8],[3,4],[5,6]] => 1
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [3,2,2] => [[1,2,7],[3,4],[5,6]] => 1
[1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0] => [2,2,2] => [[1,2],[3,4],[5,6]] => 3
[1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0] => [5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => 1
[1,1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0,0] => [4,4,1] => [[1,3,4,5],[2,7,8,9],[6]] => 2
[1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0] => [6,3,1] => [[1,3,4,8,9,10],[2,6,7],[5]] => 1
[1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0] => [5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => 1
[1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 1
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [3,3,1] => [[1,3,4],[2,6,7],[5]] => 2
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0] => [7,2,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0,0] => [6,2,1] => [[1,3,6,7,8,9],[2,5],[4]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0,0] => [5,2,1] => [[1,3,6,7,8],[2,5],[4]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0] => [4,2,1] => [[1,3,6,7],[2,5],[4]] => 1
[1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [3,2,1] => [[1,3,6],[2,5],[4]] => 1
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [2,2,1] => [[1,3],[2,5],[4]] => 2
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0] => [7,1,1] => [[1,4,5,6,7,8,9],[2],[3]] => 1
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0] => [6,1,1] => [[1,4,5,6,7,8],[2],[3]] => 1
[1,1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0,0] => [4,1,1] => [[1,4,5,6],[2],[3]] => 1
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [3,1,1] => [[1,4,5],[2],[3]] => 1
[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0] => [2,1,1] => [[1,4],[2],[3]] => 1
[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0] => [1,1,1] => [[1],[2],[3]] => 3
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
[1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
[1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0] => [7,3] => [[1,2,3,7,8,9,10],[4,5,6]] => 1
[1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0] => [4,3] => [[1,2,3,7],[4,5,6]] => 1
[1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0] => [3,3] => [[1,2,3],[4,5,6]] => 2
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [7,2] => [[1,2,5,6,7,8,9],[3,4]] => 1
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [3,2] => [[1,2,5],[3,4]] => 1
[1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0] => [2,2] => [[1,2],[3,4]] => 2
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0] => [5,1] => [[1,3,4,5,6],[2]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0] => [4,1] => [[1,3,4,5],[2]] => 1
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0] => [3,1] => [[1,3,4],[2]] => 1
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [2,1] => [[1,3],[2]] => 1
[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0] => [1,1] => [[1],[2]] => 2
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0] => [7] => [[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] => [[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] => [[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] => [[1,2,3,4]] => 1
[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0] => [3] => [[1,2,3]] => 1
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => [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
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [4,4,3,2,1] => [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]] => 2
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,2] => [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]] => 1
[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0] => [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] => [[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],[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] => [[1,3],[2,5],[4]] => 2
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [3,2] => [[1,2,5],[3,4]] => 1
[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0] => [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],[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] => [[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] => [[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] => [[1,3,4,5,6,7,8,9],[2]] => 1
[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0] => [1] => [[1]] => 1
[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0] => [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],[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],[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],[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],[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
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0] => [7] => [[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] => [[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] => [[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] => [[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] => [[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] => [[1,3,4,5,6,7,8,9,10],[2]] => 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] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 1
[1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0] => [2,2] => [[1,2],[3,4]] => 2
[1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0] => [3,3] => [[1,2,3],[4,5,6]] => 2
[1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
[1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0] => [2,1,1] => [[1,4],[2],[3]] => 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] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 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],[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] => [[1,4,5,6,7,8,9,10],[2],[3]] => 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] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 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] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => 2
[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],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 10
[1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [5,4,3,2,1] => [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]] => 1
[1,1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2] => [[1,2,5,9],[3,4,8],[6,7]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0] => [3,1] => [[1,3,4],[2]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
[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] => [[1,7],[2],[3],[4],[5],[6]] => 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] => [[1,7,8],[2],[3],[4],[5],[6]] => 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] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 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] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 1
[1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0] => [2,1] => [[1,3],[2]] => 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] => [[1,3],[2]] => 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] => [[1,3,6,10],[2,5,9],[4,8],[7]] => 1
[1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0] => [3,2,1] => [[1,3,6],[2,5],[4]] => 1
[1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0] => [3] => [[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] => [[1,3,6,7,8,9,10],[2,5],[4]] => 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] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => 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] => [[1,3,6,10,11],[2,5,9],[4,8],[7]] => 1
[1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0] => [5,4,2,1] => [[1,3,6,7,12],[2,5,10,11],[4,9],[8]] => 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] => [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]] => 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] => [[1,3,4],[2]] => 1
[1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0] => [4,2] => [[1,2,5,6],[3,4]] => 1
[1,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0] => [4,3,3,2,1] => [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]] => 1
[1,1,1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,2,1] => [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]] => 1
[1,1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0] => [4,3,2,1,1] => [[1,4,7,11],[2,6,10],[3,9],[5],[8]] => 1
[1,1,1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0] => [5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => 1
[1,1,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0] => [4,3,1] => [[1,3,4,8],[2,6,7],[5]] => 1
[1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,0] => [2,2,2] => [[1,2],[3,4],[5,6]] => 3
[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] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 6
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0] => [7,1] => [[1,3,4,5,6,7,8],[2]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0] => [6,1] => [[1,3,4,5,6,7],[2]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0] => [5,1] => [[1,3,4,5,6],[2]] => 1
[1,1,1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0] => [4,1] => [[1,3,4,5],[2]] => 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] => [[1,5],[2],[3],[4]] => 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] => [[1,6],[2],[3],[4],[5]] => 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] => [[1,8],[2],[3],[4],[5],[6],[7]] => 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] => [[1,4],[2],[3]] => 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] => [[1,3,8],[2,5],[4,7],[6]] => 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],[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] => [[1,4,5],[2],[3]] => 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] => [[1,4],[2,6],[3],[5]] => 2
[1,1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0] => [3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => 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] => [[1,2],[3,4]] => 2
[1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0] => [5,4,3,2,1] => [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]] => 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] => [[1,2,3],[4,5,6]] => 2
[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] => [[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],[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] => [[1,3,4,5,6,7,8,9],[2]] => 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] => [[1,3,4,5,6,7,8],[2]] => 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] => [[1,3,4,5,6,7],[2]] => 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] => [[1,3,4,5,6],[2]] => 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] => [[1,3,4,5],[2]] => 1
[1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
[1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
[1,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0] => [5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => 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] => [[1,3],[2,5],[4,7],[6]] => 3
[1,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0] => [3,3,2] => [[1,2,5],[3,4,8],[6,7]] => 2
search for individual values
searching the database for the individual values of this statistic
Description
The row containing the largest entry of a standard tableau.
Map
reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.
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 $(n-1,\ldots,2,1)$.