edit this map or download as text // json
Identifier
Images
[] => []
[[1]] => [1]
[[1,2]] => [2]
[[1],[2]] => [2]
[[1,2,3]] => [3]
[[1,3],[2]] => [3]
[[1,2],[3]] => [2,1]
[[1],[2],[3]] => [3]
[[1,2,3,4]] => [4]
[[1,3,4],[2]] => [4]
[[1,2,4],[3]] => [2,2]
[[1,2,3],[4]] => [3,1]
[[1,3],[2,4]] => [3,1]
[[1,2],[3,4]] => [2,2]
[[1,4],[2],[3]] => [4]
[[1,3],[2],[4]] => [3,1]
[[1,2],[3],[4]] => [2,2]
[[1],[2],[3],[4]] => [4]
[[1,2,3,4,5]] => [5]
[[1,3,4,5],[2]] => [5]
[[1,2,4,5],[3]] => [2,3]
[[1,2,3,5],[4]] => [3,2]
[[1,2,3,4],[5]] => [4,1]
[[1,3,5],[2,4]] => [3,2]
[[1,2,5],[3,4]] => [2,3]
[[1,3,4],[2,5]] => [4,1]
[[1,2,4],[3,5]] => [2,2,1]
[[1,2,3],[4,5]] => [3,2]
[[1,4,5],[2],[3]] => [5]
[[1,3,5],[2],[4]] => [3,2]
[[1,2,5],[3],[4]] => [2,3]
[[1,3,4],[2],[5]] => [4,1]
[[1,2,4],[3],[5]] => [2,2,1]
[[1,2,3],[4],[5]] => [3,2]
[[1,4],[2,5],[3]] => [4,1]
[[1,3],[2,5],[4]] => [3,2]
[[1,2],[3,5],[4]] => [2,3]
[[1,3],[2,4],[5]] => [3,2]
[[1,2],[3,4],[5]] => [2,2,1]
[[1,5],[2],[3],[4]] => [5]
[[1,4],[2],[3],[5]] => [4,1]
[[1,3],[2],[4],[5]] => [3,2]
[[1,2],[3],[4],[5]] => [2,3]
[[1],[2],[3],[4],[5]] => [5]
[[1,2,3,4,5,6]] => [6]
[[1,3,4,5,6],[2]] => [6]
[[1,2,4,5,6],[3]] => [2,4]
[[1,2,3,5,6],[4]] => [3,3]
[[1,2,3,4,6],[5]] => [4,2]
[[1,2,3,4,5],[6]] => [5,1]
[[1,3,5,6],[2,4]] => [3,3]
[[1,2,5,6],[3,4]] => [2,4]
[[1,3,4,6],[2,5]] => [4,2]
[[1,2,4,6],[3,5]] => [2,2,2]
[[1,2,3,6],[4,5]] => [3,3]
[[1,3,4,5],[2,6]] => [5,1]
[[1,2,4,5],[3,6]] => [2,3,1]
[[1,2,3,5],[4,6]] => [3,2,1]
[[1,2,3,4],[5,6]] => [4,2]
[[1,4,5,6],[2],[3]] => [6]
[[1,3,5,6],[2],[4]] => [3,3]
[[1,2,5,6],[3],[4]] => [2,4]
[[1,3,4,6],[2],[5]] => [4,2]
[[1,2,4,6],[3],[5]] => [2,2,2]
[[1,2,3,6],[4],[5]] => [3,3]
[[1,3,4,5],[2],[6]] => [5,1]
[[1,2,4,5],[3],[6]] => [2,3,1]
[[1,2,3,5],[4],[6]] => [3,2,1]
[[1,2,3,4],[5],[6]] => [4,2]
[[1,3,5],[2,4,6]] => [3,2,1]
[[1,2,5],[3,4,6]] => [2,3,1]
[[1,3,4],[2,5,6]] => [4,2]
[[1,2,4],[3,5,6]] => [2,2,2]
[[1,2,3],[4,5,6]] => [3,3]
[[1,4,6],[2,5],[3]] => [4,2]
[[1,3,6],[2,5],[4]] => [3,3]
[[1,2,6],[3,5],[4]] => [2,4]
[[1,3,6],[2,4],[5]] => [3,3]
[[1,2,6],[3,4],[5]] => [2,2,2]
[[1,4,5],[2,6],[3]] => [5,1]
[[1,3,5],[2,6],[4]] => [3,2,1]
[[1,2,5],[3,6],[4]] => [2,3,1]
[[1,3,4],[2,6],[5]] => [4,2]
[[1,2,4],[3,6],[5]] => [2,2,2]
[[1,2,3],[4,6],[5]] => [3,3]
[[1,3,5],[2,4],[6]] => [3,2,1]
[[1,2,5],[3,4],[6]] => [2,3,1]
[[1,3,4],[2,5],[6]] => [4,2]
[[1,2,4],[3,5],[6]] => [2,2,2]
[[1,2,3],[4,5],[6]] => [3,2,1]
[[1,5,6],[2],[3],[4]] => [6]
[[1,4,6],[2],[3],[5]] => [4,2]
[[1,3,6],[2],[4],[5]] => [3,3]
[[1,2,6],[3],[4],[5]] => [2,4]
[[1,4,5],[2],[3],[6]] => [5,1]
[[1,3,5],[2],[4],[6]] => [3,2,1]
[[1,2,5],[3],[4],[6]] => [2,3,1]
[[1,3,4],[2],[5],[6]] => [4,2]
[[1,2,4],[3],[5],[6]] => [2,2,2]
[[1,2,3],[4],[5],[6]] => [3,3]
[[1,4],[2,5],[3,6]] => [4,2]
>>> Load all 2264 entries. <<<
[[1,3],[2,5],[4,6]] => [3,2,1]
[[1,2],[3,5],[4,6]] => [2,3,1]
[[1,3],[2,4],[5,6]] => [3,3]
[[1,2],[3,4],[5,6]] => [2,2,2]
[[1,5],[2,6],[3],[4]] => [5,1]
[[1,4],[2,6],[3],[5]] => [4,2]
[[1,3],[2,6],[4],[5]] => [3,3]
[[1,2],[3,6],[4],[5]] => [2,4]
[[1,4],[2,5],[3],[6]] => [4,2]
[[1,3],[2,5],[4],[6]] => [3,2,1]
[[1,2],[3,5],[4],[6]] => [2,3,1]
[[1,3],[2,4],[5],[6]] => [3,3]
[[1,2],[3,4],[5],[6]] => [2,2,2]
[[1,6],[2],[3],[4],[5]] => [6]
[[1,5],[2],[3],[4],[6]] => [5,1]
[[1,4],[2],[3],[5],[6]] => [4,2]
[[1,3],[2],[4],[5],[6]] => [3,3]
[[1,2],[3],[4],[5],[6]] => [2,4]
[[1],[2],[3],[4],[5],[6]] => [6]
[[1,2,3,4,5,6,7]] => [7]
[[1,3,4,5,6,7],[2]] => [7]
[[1,2,4,5,6,7],[3]] => [2,5]
[[1,2,3,5,6,7],[4]] => [3,4]
[[1,2,3,4,6,7],[5]] => [4,3]
[[1,2,3,4,5,7],[6]] => [5,2]
[[1,2,3,4,5,6],[7]] => [6,1]
[[1,3,5,6,7],[2,4]] => [3,4]
[[1,2,5,6,7],[3,4]] => [2,5]
[[1,3,4,6,7],[2,5]] => [4,3]
[[1,2,4,6,7],[3,5]] => [2,2,3]
[[1,2,3,6,7],[4,5]] => [3,4]
[[1,3,4,5,7],[2,6]] => [5,2]
[[1,2,4,5,7],[3,6]] => [2,3,2]
[[1,2,3,5,7],[4,6]] => [3,2,2]
[[1,2,3,4,7],[5,6]] => [4,3]
[[1,3,4,5,6],[2,7]] => [6,1]
[[1,2,4,5,6],[3,7]] => [2,4,1]
[[1,2,3,5,6],[4,7]] => [3,3,1]
[[1,2,3,4,6],[5,7]] => [4,2,1]
[[1,2,3,4,5],[6,7]] => [5,2]
[[1,4,5,6,7],[2],[3]] => [7]
[[1,3,5,6,7],[2],[4]] => [3,4]
[[1,2,5,6,7],[3],[4]] => [2,5]
[[1,3,4,6,7],[2],[5]] => [4,3]
[[1,2,4,6,7],[3],[5]] => [2,2,3]
[[1,2,3,6,7],[4],[5]] => [3,4]
[[1,3,4,5,7],[2],[6]] => [5,2]
[[1,2,4,5,7],[3],[6]] => [2,3,2]
[[1,2,3,5,7],[4],[6]] => [3,2,2]
[[1,2,3,4,7],[5],[6]] => [4,3]
[[1,3,4,5,6],[2],[7]] => [6,1]
[[1,2,4,5,6],[3],[7]] => [2,4,1]
[[1,2,3,5,6],[4],[7]] => [3,3,1]
[[1,2,3,4,6],[5],[7]] => [4,2,1]
[[1,2,3,4,5],[6],[7]] => [5,2]
[[1,3,5,7],[2,4,6]] => [3,2,2]
[[1,2,5,7],[3,4,6]] => [2,3,2]
[[1,3,4,7],[2,5,6]] => [4,3]
[[1,2,4,7],[3,5,6]] => [2,2,3]
[[1,2,3,7],[4,5,6]] => [3,4]
[[1,3,5,6],[2,4,7]] => [3,3,1]
[[1,2,5,6],[3,4,7]] => [2,4,1]
[[1,3,4,6],[2,5,7]] => [4,2,1]
[[1,2,4,6],[3,5,7]] => [2,2,2,1]
[[1,2,3,6],[4,5,7]] => [3,3,1]
[[1,3,4,5],[2,6,7]] => [5,2]
[[1,2,4,5],[3,6,7]] => [2,3,2]
[[1,2,3,5],[4,6,7]] => [3,2,2]
[[1,2,3,4],[5,6,7]] => [4,3]
[[1,4,6,7],[2,5],[3]] => [4,3]
[[1,3,6,7],[2,5],[4]] => [3,4]
[[1,2,6,7],[3,5],[4]] => [2,5]
[[1,3,6,7],[2,4],[5]] => [3,4]
[[1,2,6,7],[3,4],[5]] => [2,2,3]
[[1,4,5,7],[2,6],[3]] => [5,2]
[[1,3,5,7],[2,6],[4]] => [3,2,2]
[[1,2,5,7],[3,6],[4]] => [2,3,2]
[[1,3,4,7],[2,6],[5]] => [4,3]
[[1,2,4,7],[3,6],[5]] => [2,2,3]
[[1,2,3,7],[4,6],[5]] => [3,4]
[[1,3,5,7],[2,4],[6]] => [3,2,2]
[[1,2,5,7],[3,4],[6]] => [2,3,2]
[[1,3,4,7],[2,5],[6]] => [4,3]
[[1,2,4,7],[3,5],[6]] => [2,2,3]
[[1,2,3,7],[4,5],[6]] => [3,2,2]
[[1,4,5,6],[2,7],[3]] => [6,1]
[[1,3,5,6],[2,7],[4]] => [3,3,1]
[[1,2,5,6],[3,7],[4]] => [2,4,1]
[[1,3,4,6],[2,7],[5]] => [4,2,1]
[[1,2,4,6],[3,7],[5]] => [2,2,2,1]
[[1,2,3,6],[4,7],[5]] => [3,3,1]
[[1,3,4,5],[2,7],[6]] => [5,2]
[[1,2,4,5],[3,7],[6]] => [2,3,2]
[[1,2,3,5],[4,7],[6]] => [3,2,2]
[[1,2,3,4],[5,7],[6]] => [4,3]
[[1,3,5,6],[2,4],[7]] => [3,3,1]
[[1,2,5,6],[3,4],[7]] => [2,4,1]
[[1,3,4,6],[2,5],[7]] => [4,2,1]
[[1,2,4,6],[3,5],[7]] => [2,2,2,1]
[[1,2,3,6],[4,5],[7]] => [3,3,1]
[[1,3,4,5],[2,6],[7]] => [5,2]
[[1,2,4,5],[3,6],[7]] => [2,3,2]
[[1,2,3,5],[4,6],[7]] => [3,2,2]
[[1,2,3,4],[5,6],[7]] => [4,2,1]
[[1,5,6,7],[2],[3],[4]] => [7]
[[1,4,6,7],[2],[3],[5]] => [4,3]
[[1,3,6,7],[2],[4],[5]] => [3,4]
[[1,2,6,7],[3],[4],[5]] => [2,5]
[[1,4,5,7],[2],[3],[6]] => [5,2]
[[1,3,5,7],[2],[4],[6]] => [3,2,2]
[[1,2,5,7],[3],[4],[6]] => [2,3,2]
[[1,3,4,7],[2],[5],[6]] => [4,3]
[[1,2,4,7],[3],[5],[6]] => [2,2,3]
[[1,2,3,7],[4],[5],[6]] => [3,4]
[[1,4,5,6],[2],[3],[7]] => [6,1]
[[1,3,5,6],[2],[4],[7]] => [3,3,1]
[[1,2,5,6],[3],[4],[7]] => [2,4,1]
[[1,3,4,6],[2],[5],[7]] => [4,2,1]
[[1,2,4,6],[3],[5],[7]] => [2,2,2,1]
[[1,2,3,6],[4],[5],[7]] => [3,3,1]
[[1,3,4,5],[2],[6],[7]] => [5,2]
[[1,2,4,5],[3],[6],[7]] => [2,3,2]
[[1,2,3,5],[4],[6],[7]] => [3,2,2]
[[1,2,3,4],[5],[6],[7]] => [4,3]
[[1,4,6],[2,5,7],[3]] => [4,2,1]
[[1,3,6],[2,5,7],[4]] => [3,3,1]
[[1,2,6],[3,5,7],[4]] => [2,4,1]
[[1,3,6],[2,4,7],[5]] => [3,3,1]
[[1,2,6],[3,4,7],[5]] => [2,2,2,1]
[[1,4,5],[2,6,7],[3]] => [5,2]
[[1,3,5],[2,6,7],[4]] => [3,2,2]
[[1,2,5],[3,6,7],[4]] => [2,3,2]
[[1,3,4],[2,6,7],[5]] => [4,3]
[[1,2,4],[3,6,7],[5]] => [2,2,3]
[[1,2,3],[4,6,7],[5]] => [3,4]
[[1,3,5],[2,4,7],[6]] => [3,2,2]
[[1,2,5],[3,4,7],[6]] => [2,3,2]
[[1,3,4],[2,5,7],[6]] => [4,3]
[[1,2,4],[3,5,7],[6]] => [2,2,3]
[[1,2,3],[4,5,7],[6]] => [3,2,2]
[[1,3,5],[2,4,6],[7]] => [3,2,2]
[[1,2,5],[3,4,6],[7]] => [2,3,2]
[[1,3,4],[2,5,6],[7]] => [4,2,1]
[[1,2,4],[3,5,6],[7]] => [2,2,2,1]
[[1,2,3],[4,5,6],[7]] => [3,3,1]
[[1,4,7],[2,5],[3,6]] => [4,3]
[[1,3,7],[2,5],[4,6]] => [3,2,2]
[[1,2,7],[3,5],[4,6]] => [2,3,2]
[[1,3,7],[2,4],[5,6]] => [3,4]
[[1,2,7],[3,4],[5,6]] => [2,2,3]
[[1,4,6],[2,5],[3,7]] => [4,2,1]
[[1,3,6],[2,5],[4,7]] => [3,3,1]
[[1,2,6],[3,5],[4,7]] => [2,4,1]
[[1,3,6],[2,4],[5,7]] => [3,3,1]
[[1,2,6],[3,4],[5,7]] => [2,2,2,1]
[[1,4,5],[2,6],[3,7]] => [5,2]
[[1,3,5],[2,6],[4,7]] => [3,2,2]
[[1,2,5],[3,6],[4,7]] => [2,3,2]
[[1,3,4],[2,6],[5,7]] => [4,2,1]
[[1,2,4],[3,6],[5,7]] => [2,2,2,1]
[[1,2,3],[4,6],[5,7]] => [3,3,1]
[[1,3,5],[2,4],[6,7]] => [3,2,2]
[[1,2,5],[3,4],[6,7]] => [2,3,2]
[[1,3,4],[2,5],[6,7]] => [4,3]
[[1,2,4],[3,5],[6,7]] => [2,2,3]
[[1,2,3],[4,5],[6,7]] => [3,2,2]
[[1,5,7],[2,6],[3],[4]] => [5,2]
[[1,4,7],[2,6],[3],[5]] => [4,3]
[[1,3,7],[2,6],[4],[5]] => [3,4]
[[1,2,7],[3,6],[4],[5]] => [2,5]
[[1,4,7],[2,5],[3],[6]] => [4,3]
[[1,3,7],[2,5],[4],[6]] => [3,2,2]
[[1,2,7],[3,5],[4],[6]] => [2,3,2]
[[1,3,7],[2,4],[5],[6]] => [3,4]
[[1,2,7],[3,4],[5],[6]] => [2,2,3]
[[1,5,6],[2,7],[3],[4]] => [6,1]
[[1,4,6],[2,7],[3],[5]] => [4,2,1]
[[1,3,6],[2,7],[4],[5]] => [3,3,1]
[[1,2,6],[3,7],[4],[5]] => [2,4,1]
[[1,4,5],[2,7],[3],[6]] => [5,2]
[[1,3,5],[2,7],[4],[6]] => [3,2,2]
[[1,2,5],[3,7],[4],[6]] => [2,3,2]
[[1,3,4],[2,7],[5],[6]] => [4,3]
[[1,2,4],[3,7],[5],[6]] => [2,2,3]
[[1,2,3],[4,7],[5],[6]] => [3,4]
[[1,4,6],[2,5],[3],[7]] => [4,2,1]
[[1,3,6],[2,5],[4],[7]] => [3,3,1]
[[1,2,6],[3,5],[4],[7]] => [2,4,1]
[[1,3,6],[2,4],[5],[7]] => [3,3,1]
[[1,2,6],[3,4],[5],[7]] => [2,2,2,1]
[[1,4,5],[2,6],[3],[7]] => [5,2]
[[1,3,5],[2,6],[4],[7]] => [3,2,2]
[[1,2,5],[3,6],[4],[7]] => [2,3,2]
[[1,3,4],[2,6],[5],[7]] => [4,2,1]
[[1,2,4],[3,6],[5],[7]] => [2,2,2,1]
[[1,2,3],[4,6],[5],[7]] => [3,3,1]
[[1,3,5],[2,4],[6],[7]] => [3,2,2]
[[1,2,5],[3,4],[6],[7]] => [2,3,2]
[[1,3,4],[2,5],[6],[7]] => [4,3]
[[1,2,4],[3,5],[6],[7]] => [2,2,3]
[[1,2,3],[4,5],[6],[7]] => [3,2,2]
[[1,6,7],[2],[3],[4],[5]] => [7]
[[1,5,7],[2],[3],[4],[6]] => [5,2]
[[1,4,7],[2],[3],[5],[6]] => [4,3]
[[1,3,7],[2],[4],[5],[6]] => [3,4]
[[1,2,7],[3],[4],[5],[6]] => [2,5]
[[1,5,6],[2],[3],[4],[7]] => [6,1]
[[1,4,6],[2],[3],[5],[7]] => [4,2,1]
[[1,3,6],[2],[4],[5],[7]] => [3,3,1]
[[1,2,6],[3],[4],[5],[7]] => [2,4,1]
[[1,4,5],[2],[3],[6],[7]] => [5,2]
[[1,3,5],[2],[4],[6],[7]] => [3,2,2]
[[1,2,5],[3],[4],[6],[7]] => [2,3,2]
[[1,3,4],[2],[5],[6],[7]] => [4,3]
[[1,2,4],[3],[5],[6],[7]] => [2,2,3]
[[1,2,3],[4],[5],[6],[7]] => [3,4]
[[1,5],[2,6],[3,7],[4]] => [5,2]
[[1,4],[2,6],[3,7],[5]] => [4,2,1]
[[1,3],[2,6],[4,7],[5]] => [3,3,1]
[[1,2],[3,6],[4,7],[5]] => [2,4,1]
[[1,4],[2,5],[3,7],[6]] => [4,3]
[[1,3],[2,5],[4,7],[6]] => [3,2,2]
[[1,2],[3,5],[4,7],[6]] => [2,3,2]
[[1,3],[2,4],[5,7],[6]] => [3,4]
[[1,2],[3,4],[5,7],[6]] => [2,2,3]
[[1,4],[2,5],[3,6],[7]] => [4,3]
[[1,3],[2,5],[4,6],[7]] => [3,2,2]
[[1,2],[3,5],[4,6],[7]] => [2,3,2]
[[1,3],[2,4],[5,6],[7]] => [3,3,1]
[[1,2],[3,4],[5,6],[7]] => [2,2,2,1]
[[1,6],[2,7],[3],[4],[5]] => [6,1]
[[1,5],[2,7],[3],[4],[6]] => [5,2]
[[1,4],[2,7],[3],[5],[6]] => [4,3]
[[1,3],[2,7],[4],[5],[6]] => [3,4]
[[1,2],[3,7],[4],[5],[6]] => [2,5]
[[1,5],[2,6],[3],[4],[7]] => [5,2]
[[1,4],[2,6],[3],[5],[7]] => [4,2,1]
[[1,3],[2,6],[4],[5],[7]] => [3,3,1]
[[1,2],[3,6],[4],[5],[7]] => [2,4,1]
[[1,4],[2,5],[3],[6],[7]] => [4,3]
[[1,3],[2,5],[4],[6],[7]] => [3,2,2]
[[1,2],[3,5],[4],[6],[7]] => [2,3,2]
[[1,3],[2,4],[5],[6],[7]] => [3,4]
[[1,2],[3,4],[5],[6],[7]] => [2,2,3]
[[1,7],[2],[3],[4],[5],[6]] => [7]
[[1,6],[2],[3],[4],[5],[7]] => [6,1]
[[1,5],[2],[3],[4],[6],[7]] => [5,2]
[[1,4],[2],[3],[5],[6],[7]] => [4,3]
[[1,3],[2],[4],[5],[6],[7]] => [3,4]
[[1,2],[3],[4],[5],[6],[7]] => [2,5]
[[1],[2],[3],[4],[5],[6],[7]] => [7]
[[1,2,3,4,5,6,7,8]] => [8]
[[1,3,4,5,6,7,8],[2]] => [8]
[[1,2,4,5,6,7,8],[3]] => [2,6]
[[1,2,3,5,6,7,8],[4]] => [3,5]
[[1,2,3,4,6,7,8],[5]] => [4,4]
[[1,2,3,4,5,7,8],[6]] => [5,3]
[[1,2,3,4,5,6,8],[7]] => [6,2]
[[1,2,3,4,5,6,7],[8]] => [7,1]
[[1,3,5,6,7,8],[2,4]] => [3,5]
[[1,2,5,6,7,8],[3,4]] => [2,6]
[[1,3,4,6,7,8],[2,5]] => [4,4]
[[1,2,4,6,7,8],[3,5]] => [2,2,4]
[[1,2,3,6,7,8],[4,5]] => [3,5]
[[1,3,4,5,7,8],[2,6]] => [5,3]
[[1,2,4,5,7,8],[3,6]] => [2,3,3]
[[1,2,3,5,7,8],[4,6]] => [3,2,3]
[[1,2,3,4,7,8],[5,6]] => [4,4]
[[1,3,4,5,6,8],[2,7]] => [6,2]
[[1,2,4,5,6,8],[3,7]] => [2,4,2]
[[1,2,3,5,6,8],[4,7]] => [3,3,2]
[[1,2,3,4,6,8],[5,7]] => [4,2,2]
[[1,2,3,4,5,8],[6,7]] => [5,3]
[[1,3,4,5,6,7],[2,8]] => [7,1]
[[1,2,4,5,6,7],[3,8]] => [2,5,1]
[[1,2,3,5,6,7],[4,8]] => [3,4,1]
[[1,2,3,4,6,7],[5,8]] => [4,3,1]
[[1,2,3,4,5,7],[6,8]] => [5,2,1]
[[1,2,3,4,5,6],[7,8]] => [6,2]
[[1,4,5,6,7,8],[2],[3]] => [8]
[[1,3,5,6,7,8],[2],[4]] => [3,5]
[[1,2,5,6,7,8],[3],[4]] => [2,6]
[[1,3,4,6,7,8],[2],[5]] => [4,4]
[[1,2,4,6,7,8],[3],[5]] => [2,2,4]
[[1,2,3,6,7,8],[4],[5]] => [3,5]
[[1,3,4,5,7,8],[2],[6]] => [5,3]
[[1,2,4,5,7,8],[3],[6]] => [2,3,3]
[[1,2,3,5,7,8],[4],[6]] => [3,2,3]
[[1,2,3,4,7,8],[5],[6]] => [4,4]
[[1,3,4,5,6,8],[2],[7]] => [6,2]
[[1,2,4,5,6,8],[3],[7]] => [2,4,2]
[[1,2,3,5,6,8],[4],[7]] => [3,3,2]
[[1,2,3,4,6,8],[5],[7]] => [4,2,2]
[[1,2,3,4,5,8],[6],[7]] => [5,3]
[[1,3,4,5,6,7],[2],[8]] => [7,1]
[[1,2,4,5,6,7],[3],[8]] => [2,5,1]
[[1,2,3,5,6,7],[4],[8]] => [3,4,1]
[[1,2,3,4,6,7],[5],[8]] => [4,3,1]
[[1,2,3,4,5,7],[6],[8]] => [5,2,1]
[[1,2,3,4,5,6],[7],[8]] => [6,2]
[[1,3,5,7,8],[2,4,6]] => [3,2,3]
[[1,2,5,7,8],[3,4,6]] => [2,3,3]
[[1,3,4,7,8],[2,5,6]] => [4,4]
[[1,2,4,7,8],[3,5,6]] => [2,2,4]
[[1,2,3,7,8],[4,5,6]] => [3,5]
[[1,3,5,6,8],[2,4,7]] => [3,3,2]
[[1,2,5,6,8],[3,4,7]] => [2,4,2]
[[1,3,4,6,8],[2,5,7]] => [4,2,2]
[[1,2,4,6,8],[3,5,7]] => [2,2,2,2]
[[1,2,3,6,8],[4,5,7]] => [3,3,2]
[[1,3,4,5,8],[2,6,7]] => [5,3]
[[1,2,4,5,8],[3,6,7]] => [2,3,3]
[[1,2,3,5,8],[4,6,7]] => [3,2,3]
[[1,2,3,4,8],[5,6,7]] => [4,4]
[[1,3,5,6,7],[2,4,8]] => [3,4,1]
[[1,2,5,6,7],[3,4,8]] => [2,5,1]
[[1,3,4,6,7],[2,5,8]] => [4,3,1]
[[1,2,4,6,7],[3,5,8]] => [2,2,3,1]
[[1,2,3,6,7],[4,5,8]] => [3,4,1]
[[1,3,4,5,7],[2,6,8]] => [5,2,1]
[[1,2,4,5,7],[3,6,8]] => [2,3,2,1]
[[1,2,3,5,7],[4,6,8]] => [3,2,2,1]
[[1,2,3,4,7],[5,6,8]] => [4,3,1]
[[1,3,4,5,6],[2,7,8]] => [6,2]
[[1,2,4,5,6],[3,7,8]] => [2,4,2]
[[1,2,3,5,6],[4,7,8]] => [3,3,2]
[[1,2,3,4,6],[5,7,8]] => [4,2,2]
[[1,2,3,4,5],[6,7,8]] => [5,3]
[[1,4,6,7,8],[2,5],[3]] => [4,4]
[[1,3,6,7,8],[2,5],[4]] => [3,5]
[[1,2,6,7,8],[3,5],[4]] => [2,6]
[[1,3,6,7,8],[2,4],[5]] => [3,5]
[[1,2,6,7,8],[3,4],[5]] => [2,2,4]
[[1,4,5,7,8],[2,6],[3]] => [5,3]
[[1,3,5,7,8],[2,6],[4]] => [3,2,3]
[[1,2,5,7,8],[3,6],[4]] => [2,3,3]
[[1,3,4,7,8],[2,6],[5]] => [4,4]
[[1,2,4,7,8],[3,6],[5]] => [2,2,4]
[[1,2,3,7,8],[4,6],[5]] => [3,5]
[[1,3,5,7,8],[2,4],[6]] => [3,2,3]
[[1,2,5,7,8],[3,4],[6]] => [2,3,3]
[[1,3,4,7,8],[2,5],[6]] => [4,4]
[[1,2,4,7,8],[3,5],[6]] => [2,2,4]
[[1,2,3,7,8],[4,5],[6]] => [3,2,3]
[[1,4,5,6,8],[2,7],[3]] => [6,2]
[[1,3,5,6,8],[2,7],[4]] => [3,3,2]
[[1,2,5,6,8],[3,7],[4]] => [2,4,2]
[[1,3,4,6,8],[2,7],[5]] => [4,2,2]
[[1,2,4,6,8],[3,7],[5]] => [2,2,2,2]
[[1,2,3,6,8],[4,7],[5]] => [3,3,2]
[[1,3,4,5,8],[2,7],[6]] => [5,3]
[[1,2,4,5,8],[3,7],[6]] => [2,3,3]
[[1,2,3,5,8],[4,7],[6]] => [3,2,3]
[[1,2,3,4,8],[5,7],[6]] => [4,4]
[[1,3,5,6,8],[2,4],[7]] => [3,3,2]
[[1,2,5,6,8],[3,4],[7]] => [2,4,2]
[[1,3,4,6,8],[2,5],[7]] => [4,2,2]
[[1,2,4,6,8],[3,5],[7]] => [2,2,2,2]
[[1,2,3,6,8],[4,5],[7]] => [3,3,2]
[[1,3,4,5,8],[2,6],[7]] => [5,3]
[[1,2,4,5,8],[3,6],[7]] => [2,3,3]
[[1,2,3,5,8],[4,6],[7]] => [3,2,3]
[[1,2,3,4,8],[5,6],[7]] => [4,2,2]
[[1,4,5,6,7],[2,8],[3]] => [7,1]
[[1,3,5,6,7],[2,8],[4]] => [3,4,1]
[[1,2,5,6,7],[3,8],[4]] => [2,5,1]
[[1,3,4,6,7],[2,8],[5]] => [4,3,1]
[[1,2,4,6,7],[3,8],[5]] => [2,2,3,1]
[[1,2,3,6,7],[4,8],[5]] => [3,4,1]
[[1,3,4,5,7],[2,8],[6]] => [5,2,1]
[[1,2,4,5,7],[3,8],[6]] => [2,3,2,1]
[[1,2,3,5,7],[4,8],[6]] => [3,2,2,1]
[[1,2,3,4,7],[5,8],[6]] => [4,3,1]
[[1,3,4,5,6],[2,8],[7]] => [6,2]
[[1,2,4,5,6],[3,8],[7]] => [2,4,2]
[[1,2,3,5,6],[4,8],[7]] => [3,3,2]
[[1,2,3,4,6],[5,8],[7]] => [4,2,2]
[[1,2,3,4,5],[6,8],[7]] => [5,3]
[[1,3,5,6,7],[2,4],[8]] => [3,4,1]
[[1,2,5,6,7],[3,4],[8]] => [2,5,1]
[[1,3,4,6,7],[2,5],[8]] => [4,3,1]
[[1,2,4,6,7],[3,5],[8]] => [2,2,3,1]
[[1,2,3,6,7],[4,5],[8]] => [3,4,1]
[[1,3,4,5,7],[2,6],[8]] => [5,2,1]
[[1,2,4,5,7],[3,6],[8]] => [2,3,2,1]
[[1,2,3,5,7],[4,6],[8]] => [3,2,2,1]
[[1,2,3,4,7],[5,6],[8]] => [4,3,1]
[[1,3,4,5,6],[2,7],[8]] => [6,2]
[[1,2,4,5,6],[3,7],[8]] => [2,4,2]
[[1,2,3,5,6],[4,7],[8]] => [3,3,2]
[[1,2,3,4,6],[5,7],[8]] => [4,2,2]
[[1,2,3,4,5],[6,7],[8]] => [5,2,1]
[[1,5,6,7,8],[2],[3],[4]] => [8]
[[1,4,6,7,8],[2],[3],[5]] => [4,4]
[[1,3,6,7,8],[2],[4],[5]] => [3,5]
[[1,2,6,7,8],[3],[4],[5]] => [2,6]
[[1,4,5,7,8],[2],[3],[6]] => [5,3]
[[1,3,5,7,8],[2],[4],[6]] => [3,2,3]
[[1,2,5,7,8],[3],[4],[6]] => [2,3,3]
[[1,3,4,7,8],[2],[5],[6]] => [4,4]
[[1,2,4,7,8],[3],[5],[6]] => [2,2,4]
[[1,2,3,7,8],[4],[5],[6]] => [3,5]
[[1,4,5,6,8],[2],[3],[7]] => [6,2]
[[1,3,5,6,8],[2],[4],[7]] => [3,3,2]
[[1,2,5,6,8],[3],[4],[7]] => [2,4,2]
[[1,3,4,6,8],[2],[5],[7]] => [4,2,2]
[[1,2,4,6,8],[3],[5],[7]] => [2,2,2,2]
[[1,2,3,6,8],[4],[5],[7]] => [3,3,2]
[[1,3,4,5,8],[2],[6],[7]] => [5,3]
[[1,2,4,5,8],[3],[6],[7]] => [2,3,3]
[[1,2,3,5,8],[4],[6],[7]] => [3,2,3]
[[1,2,3,4,8],[5],[6],[7]] => [4,4]
[[1,4,5,6,7],[2],[3],[8]] => [7,1]
[[1,3,5,6,7],[2],[4],[8]] => [3,4,1]
[[1,2,5,6,7],[3],[4],[8]] => [2,5,1]
[[1,3,4,6,7],[2],[5],[8]] => [4,3,1]
[[1,2,4,6,7],[3],[5],[8]] => [2,2,3,1]
[[1,2,3,6,7],[4],[5],[8]] => [3,4,1]
[[1,3,4,5,7],[2],[6],[8]] => [5,2,1]
[[1,2,4,5,7],[3],[6],[8]] => [2,3,2,1]
[[1,2,3,5,7],[4],[6],[8]] => [3,2,2,1]
[[1,2,3,4,7],[5],[6],[8]] => [4,3,1]
[[1,3,4,5,6],[2],[7],[8]] => [6,2]
[[1,2,4,5,6],[3],[7],[8]] => [2,4,2]
[[1,2,3,5,6],[4],[7],[8]] => [3,3,2]
[[1,2,3,4,6],[5],[7],[8]] => [4,2,2]
[[1,2,3,4,5],[6],[7],[8]] => [5,3]
[[1,3,5,7],[2,4,6,8]] => [3,2,2,1]
[[1,2,5,7],[3,4,6,8]] => [2,3,2,1]
[[1,3,4,7],[2,5,6,8]] => [4,3,1]
[[1,2,4,7],[3,5,6,8]] => [2,2,3,1]
[[1,2,3,7],[4,5,6,8]] => [3,4,1]
[[1,3,5,6],[2,4,7,8]] => [3,3,2]
[[1,2,5,6],[3,4,7,8]] => [2,4,2]
[[1,3,4,6],[2,5,7,8]] => [4,2,2]
[[1,2,4,6],[3,5,7,8]] => [2,2,2,2]
[[1,2,3,6],[4,5,7,8]] => [3,3,2]
[[1,3,4,5],[2,6,7,8]] => [5,3]
[[1,2,4,5],[3,6,7,8]] => [2,3,3]
[[1,2,3,5],[4,6,7,8]] => [3,2,3]
[[1,2,3,4],[5,6,7,8]] => [4,4]
[[1,4,6,8],[2,5,7],[3]] => [4,2,2]
[[1,3,6,8],[2,5,7],[4]] => [3,3,2]
[[1,2,6,8],[3,5,7],[4]] => [2,4,2]
[[1,3,6,8],[2,4,7],[5]] => [3,3,2]
[[1,2,6,8],[3,4,7],[5]] => [2,2,2,2]
[[1,4,5,8],[2,6,7],[3]] => [5,3]
[[1,3,5,8],[2,6,7],[4]] => [3,2,3]
[[1,2,5,8],[3,6,7],[4]] => [2,3,3]
[[1,3,4,8],[2,6,7],[5]] => [4,4]
[[1,2,4,8],[3,6,7],[5]] => [2,2,4]
[[1,2,3,8],[4,6,7],[5]] => [3,5]
[[1,3,5,8],[2,4,7],[6]] => [3,2,3]
[[1,2,5,8],[3,4,7],[6]] => [2,3,3]
[[1,3,4,8],[2,5,7],[6]] => [4,4]
[[1,2,4,8],[3,5,7],[6]] => [2,2,4]
[[1,2,3,8],[4,5,7],[6]] => [3,2,3]
[[1,3,5,8],[2,4,6],[7]] => [3,2,3]
[[1,2,5,8],[3,4,6],[7]] => [2,3,3]
[[1,3,4,8],[2,5,6],[7]] => [4,2,2]
[[1,2,4,8],[3,5,6],[7]] => [2,2,2,2]
[[1,2,3,8],[4,5,6],[7]] => [3,3,2]
[[1,4,6,7],[2,5,8],[3]] => [4,3,1]
[[1,3,6,7],[2,5,8],[4]] => [3,4,1]
[[1,2,6,7],[3,5,8],[4]] => [2,5,1]
[[1,3,6,7],[2,4,8],[5]] => [3,4,1]
[[1,2,6,7],[3,4,8],[5]] => [2,2,3,1]
[[1,4,5,7],[2,6,8],[3]] => [5,2,1]
[[1,3,5,7],[2,6,8],[4]] => [3,2,2,1]
[[1,2,5,7],[3,6,8],[4]] => [2,3,2,1]
[[1,3,4,7],[2,6,8],[5]] => [4,3,1]
[[1,2,4,7],[3,6,8],[5]] => [2,2,3,1]
[[1,2,3,7],[4,6,8],[5]] => [3,4,1]
[[1,3,5,7],[2,4,8],[6]] => [3,2,2,1]
[[1,2,5,7],[3,4,8],[6]] => [2,3,2,1]
[[1,3,4,7],[2,5,8],[6]] => [4,3,1]
[[1,2,4,7],[3,5,8],[6]] => [2,2,3,1]
[[1,2,3,7],[4,5,8],[6]] => [3,2,2,1]
[[1,4,5,6],[2,7,8],[3]] => [6,2]
[[1,3,5,6],[2,7,8],[4]] => [3,3,2]
[[1,2,5,6],[3,7,8],[4]] => [2,4,2]
[[1,3,4,6],[2,7,8],[5]] => [4,2,2]
[[1,2,4,6],[3,7,8],[5]] => [2,2,2,2]
[[1,2,3,6],[4,7,8],[5]] => [3,3,2]
[[1,3,4,5],[2,7,8],[6]] => [5,3]
[[1,2,4,5],[3,7,8],[6]] => [2,3,3]
[[1,2,3,5],[4,7,8],[6]] => [3,2,3]
[[1,2,3,4],[5,7,8],[6]] => [4,4]
[[1,3,5,6],[2,4,8],[7]] => [3,3,2]
[[1,2,5,6],[3,4,8],[7]] => [2,4,2]
[[1,3,4,6],[2,5,8],[7]] => [4,2,2]
[[1,2,4,6],[3,5,8],[7]] => [2,2,2,2]
[[1,2,3,6],[4,5,8],[7]] => [3,3,2]
[[1,3,4,5],[2,6,8],[7]] => [5,3]
[[1,2,4,5],[3,6,8],[7]] => [2,3,3]
[[1,2,3,5],[4,6,8],[7]] => [3,2,3]
[[1,2,3,4],[5,6,8],[7]] => [4,2,2]
[[1,3,5,7],[2,4,6],[8]] => [3,2,2,1]
[[1,2,5,7],[3,4,6],[8]] => [2,3,2,1]
[[1,3,4,7],[2,5,6],[8]] => [4,3,1]
[[1,2,4,7],[3,5,6],[8]] => [2,2,3,1]
[[1,2,3,7],[4,5,6],[8]] => [3,4,1]
[[1,3,5,6],[2,4,7],[8]] => [3,3,2]
[[1,2,5,6],[3,4,7],[8]] => [2,4,2]
[[1,3,4,6],[2,5,7],[8]] => [4,2,2]
[[1,2,4,6],[3,5,7],[8]] => [2,2,2,2]
[[1,2,3,6],[4,5,7],[8]] => [3,3,2]
[[1,3,4,5],[2,6,7],[8]] => [5,2,1]
[[1,2,4,5],[3,6,7],[8]] => [2,3,2,1]
[[1,2,3,5],[4,6,7],[8]] => [3,2,2,1]
[[1,2,3,4],[5,6,7],[8]] => [4,3,1]
[[1,4,7,8],[2,5],[3,6]] => [4,4]
[[1,3,7,8],[2,5],[4,6]] => [3,2,3]
[[1,2,7,8],[3,5],[4,6]] => [2,3,3]
[[1,3,7,8],[2,4],[5,6]] => [3,5]
[[1,2,7,8],[3,4],[5,6]] => [2,2,4]
[[1,4,6,8],[2,5],[3,7]] => [4,2,2]
[[1,3,6,8],[2,5],[4,7]] => [3,3,2]
[[1,2,6,8],[3,5],[4,7]] => [2,4,2]
[[1,3,6,8],[2,4],[5,7]] => [3,3,2]
[[1,2,6,8],[3,4],[5,7]] => [2,2,2,2]
[[1,4,5,8],[2,6],[3,7]] => [5,3]
[[1,3,5,8],[2,6],[4,7]] => [3,2,3]
[[1,2,5,8],[3,6],[4,7]] => [2,3,3]
[[1,3,4,8],[2,6],[5,7]] => [4,2,2]
[[1,2,4,8],[3,6],[5,7]] => [2,2,2,2]
[[1,2,3,8],[4,6],[5,7]] => [3,3,2]
[[1,3,5,8],[2,4],[6,7]] => [3,2,3]
[[1,2,5,8],[3,4],[6,7]] => [2,3,3]
[[1,3,4,8],[2,5],[6,7]] => [4,4]
[[1,2,4,8],[3,5],[6,7]] => [2,2,4]
[[1,2,3,8],[4,5],[6,7]] => [3,2,3]
[[1,4,6,7],[2,5],[3,8]] => [4,3,1]
[[1,3,6,7],[2,5],[4,8]] => [3,4,1]
[[1,2,6,7],[3,5],[4,8]] => [2,5,1]
[[1,3,6,7],[2,4],[5,8]] => [3,4,1]
[[1,2,6,7],[3,4],[5,8]] => [2,2,3,1]
[[1,4,5,7],[2,6],[3,8]] => [5,2,1]
[[1,3,5,7],[2,6],[4,8]] => [3,2,2,1]
[[1,2,5,7],[3,6],[4,8]] => [2,3,2,1]
[[1,3,4,7],[2,6],[5,8]] => [4,3,1]
[[1,2,4,7],[3,6],[5,8]] => [2,2,3,1]
[[1,2,3,7],[4,6],[5,8]] => [3,4,1]
[[1,3,5,7],[2,4],[6,8]] => [3,2,2,1]
[[1,2,5,7],[3,4],[6,8]] => [2,3,2,1]
[[1,3,4,7],[2,5],[6,8]] => [4,3,1]
[[1,2,4,7],[3,5],[6,8]] => [2,2,3,1]
[[1,2,3,7],[4,5],[6,8]] => [3,2,2,1]
[[1,4,5,6],[2,7],[3,8]] => [6,2]
[[1,3,5,6],[2,7],[4,8]] => [3,3,2]
[[1,2,5,6],[3,7],[4,8]] => [2,4,2]
[[1,3,4,6],[2,7],[5,8]] => [4,2,2]
[[1,2,4,6],[3,7],[5,8]] => [2,2,2,2]
[[1,2,3,6],[4,7],[5,8]] => [3,3,2]
[[1,3,4,5],[2,7],[6,8]] => [5,2,1]
[[1,2,4,5],[3,7],[6,8]] => [2,3,2,1]
[[1,2,3,5],[4,7],[6,8]] => [3,2,2,1]
[[1,2,3,4],[5,7],[6,8]] => [4,3,1]
[[1,3,5,6],[2,4],[7,8]] => [3,3,2]
[[1,2,5,6],[3,4],[7,8]] => [2,4,2]
[[1,3,4,6],[2,5],[7,8]] => [4,2,2]
[[1,2,4,6],[3,5],[7,8]] => [2,2,2,2]
[[1,2,3,6],[4,5],[7,8]] => [3,3,2]
[[1,3,4,5],[2,6],[7,8]] => [5,3]
[[1,2,4,5],[3,6],[7,8]] => [2,3,3]
[[1,2,3,5],[4,6],[7,8]] => [3,2,3]
[[1,2,3,4],[5,6],[7,8]] => [4,2,2]
[[1,5,7,8],[2,6],[3],[4]] => [5,3]
[[1,4,7,8],[2,6],[3],[5]] => [4,4]
[[1,3,7,8],[2,6],[4],[5]] => [3,5]
[[1,2,7,8],[3,6],[4],[5]] => [2,6]
[[1,4,7,8],[2,5],[3],[6]] => [4,4]
[[1,3,7,8],[2,5],[4],[6]] => [3,2,3]
[[1,2,7,8],[3,5],[4],[6]] => [2,3,3]
[[1,3,7,8],[2,4],[5],[6]] => [3,5]
[[1,2,7,8],[3,4],[5],[6]] => [2,2,4]
[[1,5,6,8],[2,7],[3],[4]] => [6,2]
[[1,4,6,8],[2,7],[3],[5]] => [4,2,2]
[[1,3,6,8],[2,7],[4],[5]] => [3,3,2]
[[1,2,6,8],[3,7],[4],[5]] => [2,4,2]
[[1,4,5,8],[2,7],[3],[6]] => [5,3]
[[1,3,5,8],[2,7],[4],[6]] => [3,2,3]
[[1,2,5,8],[3,7],[4],[6]] => [2,3,3]
[[1,3,4,8],[2,7],[5],[6]] => [4,4]
[[1,2,4,8],[3,7],[5],[6]] => [2,2,4]
[[1,2,3,8],[4,7],[5],[6]] => [3,5]
[[1,4,6,8],[2,5],[3],[7]] => [4,2,2]
[[1,3,6,8],[2,5],[4],[7]] => [3,3,2]
[[1,2,6,8],[3,5],[4],[7]] => [2,4,2]
[[1,3,6,8],[2,4],[5],[7]] => [3,3,2]
[[1,2,6,8],[3,4],[5],[7]] => [2,2,2,2]
[[1,4,5,8],[2,6],[3],[7]] => [5,3]
[[1,3,5,8],[2,6],[4],[7]] => [3,2,3]
[[1,2,5,8],[3,6],[4],[7]] => [2,3,3]
[[1,3,4,8],[2,6],[5],[7]] => [4,2,2]
[[1,2,4,8],[3,6],[5],[7]] => [2,2,2,2]
[[1,2,3,8],[4,6],[5],[7]] => [3,3,2]
[[1,3,5,8],[2,4],[6],[7]] => [3,2,3]
[[1,2,5,8],[3,4],[6],[7]] => [2,3,3]
[[1,3,4,8],[2,5],[6],[7]] => [4,4]
[[1,2,4,8],[3,5],[6],[7]] => [2,2,4]
[[1,2,3,8],[4,5],[6],[7]] => [3,2,3]
[[1,5,6,7],[2,8],[3],[4]] => [7,1]
[[1,4,6,7],[2,8],[3],[5]] => [4,3,1]
[[1,3,6,7],[2,8],[4],[5]] => [3,4,1]
[[1,2,6,7],[3,8],[4],[5]] => [2,5,1]
[[1,4,5,7],[2,8],[3],[6]] => [5,2,1]
[[1,3,5,7],[2,8],[4],[6]] => [3,2,2,1]
[[1,2,5,7],[3,8],[4],[6]] => [2,3,2,1]
[[1,3,4,7],[2,8],[5],[6]] => [4,3,1]
[[1,2,4,7],[3,8],[5],[6]] => [2,2,3,1]
[[1,2,3,7],[4,8],[5],[6]] => [3,4,1]
[[1,4,5,6],[2,8],[3],[7]] => [6,2]
[[1,3,5,6],[2,8],[4],[7]] => [3,3,2]
[[1,2,5,6],[3,8],[4],[7]] => [2,4,2]
[[1,3,4,6],[2,8],[5],[7]] => [4,2,2]
[[1,2,4,6],[3,8],[5],[7]] => [2,2,2,2]
[[1,2,3,6],[4,8],[5],[7]] => [3,3,2]
[[1,3,4,5],[2,8],[6],[7]] => [5,3]
[[1,2,4,5],[3,8],[6],[7]] => [2,3,3]
[[1,2,3,5],[4,8],[6],[7]] => [3,2,3]
[[1,2,3,4],[5,8],[6],[7]] => [4,4]
[[1,4,6,7],[2,5],[3],[8]] => [4,3,1]
[[1,3,6,7],[2,5],[4],[8]] => [3,4,1]
[[1,2,6,7],[3,5],[4],[8]] => [2,5,1]
[[1,3,6,7],[2,4],[5],[8]] => [3,4,1]
[[1,2,6,7],[3,4],[5],[8]] => [2,2,3,1]
[[1,4,5,7],[2,6],[3],[8]] => [5,2,1]
[[1,3,5,7],[2,6],[4],[8]] => [3,2,2,1]
[[1,2,5,7],[3,6],[4],[8]] => [2,3,2,1]
[[1,3,4,7],[2,6],[5],[8]] => [4,3,1]
[[1,2,4,7],[3,6],[5],[8]] => [2,2,3,1]
[[1,2,3,7],[4,6],[5],[8]] => [3,4,1]
[[1,3,5,7],[2,4],[6],[8]] => [3,2,2,1]
[[1,2,5,7],[3,4],[6],[8]] => [2,3,2,1]
[[1,3,4,7],[2,5],[6],[8]] => [4,3,1]
[[1,2,4,7],[3,5],[6],[8]] => [2,2,3,1]
[[1,2,3,7],[4,5],[6],[8]] => [3,2,2,1]
[[1,4,5,6],[2,7],[3],[8]] => [6,2]
[[1,3,5,6],[2,7],[4],[8]] => [3,3,2]
[[1,2,5,6],[3,7],[4],[8]] => [2,4,2]
[[1,3,4,6],[2,7],[5],[8]] => [4,2,2]
[[1,2,4,6],[3,7],[5],[8]] => [2,2,2,2]
[[1,2,3,6],[4,7],[5],[8]] => [3,3,2]
[[1,3,4,5],[2,7],[6],[8]] => [5,2,1]
[[1,2,4,5],[3,7],[6],[8]] => [2,3,2,1]
[[1,2,3,5],[4,7],[6],[8]] => [3,2,2,1]
[[1,2,3,4],[5,7],[6],[8]] => [4,3,1]
[[1,3,5,6],[2,4],[7],[8]] => [3,3,2]
[[1,2,5,6],[3,4],[7],[8]] => [2,4,2]
[[1,3,4,6],[2,5],[7],[8]] => [4,2,2]
[[1,2,4,6],[3,5],[7],[8]] => [2,2,2,2]
[[1,2,3,6],[4,5],[7],[8]] => [3,3,2]
[[1,3,4,5],[2,6],[7],[8]] => [5,3]
[[1,2,4,5],[3,6],[7],[8]] => [2,3,3]
[[1,2,3,5],[4,6],[7],[8]] => [3,2,3]
[[1,2,3,4],[5,6],[7],[8]] => [4,2,2]
[[1,6,7,8],[2],[3],[4],[5]] => [8]
[[1,5,7,8],[2],[3],[4],[6]] => [5,3]
[[1,4,7,8],[2],[3],[5],[6]] => [4,4]
[[1,3,7,8],[2],[4],[5],[6]] => [3,5]
[[1,2,7,8],[3],[4],[5],[6]] => [2,6]
[[1,5,6,8],[2],[3],[4],[7]] => [6,2]
[[1,4,6,8],[2],[3],[5],[7]] => [4,2,2]
[[1,3,6,8],[2],[4],[5],[7]] => [3,3,2]
[[1,2,6,8],[3],[4],[5],[7]] => [2,4,2]
[[1,4,5,8],[2],[3],[6],[7]] => [5,3]
[[1,3,5,8],[2],[4],[6],[7]] => [3,2,3]
[[1,2,5,8],[3],[4],[6],[7]] => [2,3,3]
[[1,3,4,8],[2],[5],[6],[7]] => [4,4]
[[1,2,4,8],[3],[5],[6],[7]] => [2,2,4]
[[1,2,3,8],[4],[5],[6],[7]] => [3,5]
[[1,5,6,7],[2],[3],[4],[8]] => [7,1]
[[1,4,6,7],[2],[3],[5],[8]] => [4,3,1]
[[1,3,6,7],[2],[4],[5],[8]] => [3,4,1]
[[1,2,6,7],[3],[4],[5],[8]] => [2,5,1]
[[1,4,5,7],[2],[3],[6],[8]] => [5,2,1]
[[1,3,5,7],[2],[4],[6],[8]] => [3,2,2,1]
[[1,2,5,7],[3],[4],[6],[8]] => [2,3,2,1]
[[1,3,4,7],[2],[5],[6],[8]] => [4,3,1]
[[1,2,4,7],[3],[5],[6],[8]] => [2,2,3,1]
[[1,2,3,7],[4],[5],[6],[8]] => [3,4,1]
[[1,4,5,6],[2],[3],[7],[8]] => [6,2]
[[1,3,5,6],[2],[4],[7],[8]] => [3,3,2]
[[1,2,5,6],[3],[4],[7],[8]] => [2,4,2]
[[1,3,4,6],[2],[5],[7],[8]] => [4,2,2]
[[1,2,4,6],[3],[5],[7],[8]] => [2,2,2,2]
[[1,2,3,6],[4],[5],[7],[8]] => [3,3,2]
[[1,3,4,5],[2],[6],[7],[8]] => [5,3]
[[1,2,4,5],[3],[6],[7],[8]] => [2,3,3]
[[1,2,3,5],[4],[6],[7],[8]] => [3,2,3]
[[1,2,3,4],[5],[6],[7],[8]] => [4,4]
[[1,4,7],[2,5,8],[3,6]] => [4,3,1]
[[1,3,7],[2,5,8],[4,6]] => [3,2,2,1]
[[1,2,7],[3,5,8],[4,6]] => [2,3,2,1]
[[1,3,7],[2,4,8],[5,6]] => [3,4,1]
[[1,2,7],[3,4,8],[5,6]] => [2,2,3,1]
[[1,4,6],[2,5,8],[3,7]] => [4,2,2]
[[1,3,6],[2,5,8],[4,7]] => [3,3,2]
[[1,2,6],[3,5,8],[4,7]] => [2,4,2]
[[1,3,6],[2,4,8],[5,7]] => [3,3,2]
[[1,2,6],[3,4,8],[5,7]] => [2,2,2,2]
[[1,4,5],[2,6,8],[3,7]] => [5,3]
[[1,3,5],[2,6,8],[4,7]] => [3,2,3]
[[1,2,5],[3,6,8],[4,7]] => [2,3,3]
[[1,3,4],[2,6,8],[5,7]] => [4,2,2]
[[1,2,4],[3,6,8],[5,7]] => [2,2,2,2]
[[1,2,3],[4,6,8],[5,7]] => [3,3,2]
[[1,3,5],[2,4,8],[6,7]] => [3,2,3]
[[1,2,5],[3,4,8],[6,7]] => [2,3,3]
[[1,3,4],[2,5,8],[6,7]] => [4,4]
[[1,2,4],[3,5,8],[6,7]] => [2,2,4]
[[1,2,3],[4,5,8],[6,7]] => [3,2,3]
[[1,4,6],[2,5,7],[3,8]] => [4,2,2]
[[1,3,6],[2,5,7],[4,8]] => [3,3,2]
[[1,2,6],[3,5,7],[4,8]] => [2,4,2]
[[1,3,6],[2,4,7],[5,8]] => [3,3,2]
[[1,2,6],[3,4,7],[5,8]] => [2,2,2,2]
[[1,4,5],[2,6,7],[3,8]] => [5,2,1]
[[1,3,5],[2,6,7],[4,8]] => [3,2,2,1]
[[1,2,5],[3,6,7],[4,8]] => [2,3,2,1]
[[1,3,4],[2,6,7],[5,8]] => [4,3,1]
[[1,2,4],[3,6,7],[5,8]] => [2,2,3,1]
[[1,2,3],[4,6,7],[5,8]] => [3,4,1]
[[1,3,5],[2,4,7],[6,8]] => [3,2,2,1]
[[1,2,5],[3,4,7],[6,8]] => [2,3,2,1]
[[1,3,4],[2,5,7],[6,8]] => [4,3,1]
[[1,2,4],[3,5,7],[6,8]] => [2,2,3,1]
[[1,2,3],[4,5,7],[6,8]] => [3,2,2,1]
[[1,3,5],[2,4,6],[7,8]] => [3,2,3]
[[1,2,5],[3,4,6],[7,8]] => [2,3,3]
[[1,3,4],[2,5,6],[7,8]] => [4,2,2]
[[1,2,4],[3,5,6],[7,8]] => [2,2,2,2]
[[1,2,3],[4,5,6],[7,8]] => [3,3,2]
[[1,5,7],[2,6,8],[3],[4]] => [5,2,1]
[[1,4,7],[2,6,8],[3],[5]] => [4,3,1]
[[1,3,7],[2,6,8],[4],[5]] => [3,4,1]
[[1,2,7],[3,6,8],[4],[5]] => [2,5,1]
[[1,4,7],[2,5,8],[3],[6]] => [4,3,1]
[[1,3,7],[2,5,8],[4],[6]] => [3,2,2,1]
[[1,2,7],[3,5,8],[4],[6]] => [2,3,2,1]
[[1,3,7],[2,4,8],[5],[6]] => [3,4,1]
[[1,2,7],[3,4,8],[5],[6]] => [2,2,3,1]
[[1,5,6],[2,7,8],[3],[4]] => [6,2]
[[1,4,6],[2,7,8],[3],[5]] => [4,2,2]
[[1,3,6],[2,7,8],[4],[5]] => [3,3,2]
[[1,2,6],[3,7,8],[4],[5]] => [2,4,2]
[[1,4,5],[2,7,8],[3],[6]] => [5,3]
[[1,3,5],[2,7,8],[4],[6]] => [3,2,3]
[[1,2,5],[3,7,8],[4],[6]] => [2,3,3]
[[1,3,4],[2,7,8],[5],[6]] => [4,4]
[[1,2,4],[3,7,8],[5],[6]] => [2,2,4]
[[1,2,3],[4,7,8],[5],[6]] => [3,5]
[[1,4,6],[2,5,8],[3],[7]] => [4,2,2]
[[1,3,6],[2,5,8],[4],[7]] => [3,3,2]
[[1,2,6],[3,5,8],[4],[7]] => [2,4,2]
[[1,3,6],[2,4,8],[5],[7]] => [3,3,2]
[[1,2,6],[3,4,8],[5],[7]] => [2,2,2,2]
[[1,4,5],[2,6,8],[3],[7]] => [5,3]
[[1,3,5],[2,6,8],[4],[7]] => [3,2,3]
[[1,2,5],[3,6,8],[4],[7]] => [2,3,3]
[[1,3,4],[2,6,8],[5],[7]] => [4,2,2]
[[1,2,4],[3,6,8],[5],[7]] => [2,2,2,2]
[[1,2,3],[4,6,8],[5],[7]] => [3,3,2]
[[1,3,5],[2,4,8],[6],[7]] => [3,2,3]
[[1,2,5],[3,4,8],[6],[7]] => [2,3,3]
[[1,3,4],[2,5,8],[6],[7]] => [4,4]
[[1,2,4],[3,5,8],[6],[7]] => [2,2,4]
[[1,2,3],[4,5,8],[6],[7]] => [3,2,3]
[[1,4,6],[2,5,7],[3],[8]] => [4,2,2]
[[1,3,6],[2,5,7],[4],[8]] => [3,3,2]
[[1,2,6],[3,5,7],[4],[8]] => [2,4,2]
[[1,3,6],[2,4,7],[5],[8]] => [3,3,2]
[[1,2,6],[3,4,7],[5],[8]] => [2,2,2,2]
[[1,4,5],[2,6,7],[3],[8]] => [5,2,1]
[[1,3,5],[2,6,7],[4],[8]] => [3,2,2,1]
[[1,2,5],[3,6,7],[4],[8]] => [2,3,2,1]
[[1,3,4],[2,6,7],[5],[8]] => [4,3,1]
[[1,2,4],[3,6,7],[5],[8]] => [2,2,3,1]
[[1,2,3],[4,6,7],[5],[8]] => [3,4,1]
[[1,3,5],[2,4,7],[6],[8]] => [3,2,2,1]
[[1,2,5],[3,4,7],[6],[8]] => [2,3,2,1]
[[1,3,4],[2,5,7],[6],[8]] => [4,3,1]
[[1,2,4],[3,5,7],[6],[8]] => [2,2,3,1]
[[1,2,3],[4,5,7],[6],[8]] => [3,2,2,1]
[[1,3,5],[2,4,6],[7],[8]] => [3,2,3]
[[1,2,5],[3,4,6],[7],[8]] => [2,3,3]
[[1,3,4],[2,5,6],[7],[8]] => [4,2,2]
[[1,2,4],[3,5,6],[7],[8]] => [2,2,2,2]
[[1,2,3],[4,5,6],[7],[8]] => [3,3,2]
[[1,5,8],[2,6],[3,7],[4]] => [5,3]
[[1,4,8],[2,6],[3,7],[5]] => [4,2,2]
[[1,3,8],[2,6],[4,7],[5]] => [3,3,2]
[[1,2,8],[3,6],[4,7],[5]] => [2,4,2]
[[1,4,8],[2,5],[3,7],[6]] => [4,4]
[[1,3,8],[2,5],[4,7],[6]] => [3,2,3]
[[1,2,8],[3,5],[4,7],[6]] => [2,3,3]
[[1,3,8],[2,4],[5,7],[6]] => [3,5]
[[1,2,8],[3,4],[5,7],[6]] => [2,2,4]
[[1,4,8],[2,5],[3,6],[7]] => [4,4]
[[1,3,8],[2,5],[4,6],[7]] => [3,2,3]
[[1,2,8],[3,5],[4,6],[7]] => [2,3,3]
[[1,3,8],[2,4],[5,6],[7]] => [3,3,2]
[[1,2,8],[3,4],[5,6],[7]] => [2,2,2,2]
[[1,5,7],[2,6],[3,8],[4]] => [5,2,1]
[[1,4,7],[2,6],[3,8],[5]] => [4,3,1]
[[1,3,7],[2,6],[4,8],[5]] => [3,4,1]
[[1,2,7],[3,6],[4,8],[5]] => [2,5,1]
[[1,4,7],[2,5],[3,8],[6]] => [4,3,1]
[[1,3,7],[2,5],[4,8],[6]] => [3,2,2,1]
[[1,2,7],[3,5],[4,8],[6]] => [2,3,2,1]
[[1,3,7],[2,4],[5,8],[6]] => [3,4,1]
[[1,2,7],[3,4],[5,8],[6]] => [2,2,3,1]
[[1,5,6],[2,7],[3,8],[4]] => [6,2]
[[1,4,6],[2,7],[3,8],[5]] => [4,2,2]
[[1,3,6],[2,7],[4,8],[5]] => [3,3,2]
[[1,2,6],[3,7],[4,8],[5]] => [2,4,2]
[[1,4,5],[2,7],[3,8],[6]] => [5,2,1]
[[1,3,5],[2,7],[4,8],[6]] => [3,2,2,1]
[[1,2,5],[3,7],[4,8],[6]] => [2,3,2,1]
[[1,3,4],[2,7],[5,8],[6]] => [4,3,1]
[[1,2,4],[3,7],[5,8],[6]] => [2,2,3,1]
[[1,2,3],[4,7],[5,8],[6]] => [3,4,1]
[[1,4,6],[2,5],[3,8],[7]] => [4,2,2]
[[1,3,6],[2,5],[4,8],[7]] => [3,3,2]
[[1,2,6],[3,5],[4,8],[7]] => [2,4,2]
[[1,3,6],[2,4],[5,8],[7]] => [3,3,2]
[[1,2,6],[3,4],[5,8],[7]] => [2,2,2,2]
[[1,4,5],[2,6],[3,8],[7]] => [5,3]
[[1,3,5],[2,6],[4,8],[7]] => [3,2,3]
[[1,2,5],[3,6],[4,8],[7]] => [2,3,3]
[[1,3,4],[2,6],[5,8],[7]] => [4,2,2]
[[1,2,4],[3,6],[5,8],[7]] => [2,2,2,2]
[[1,2,3],[4,6],[5,8],[7]] => [3,3,2]
[[1,3,5],[2,4],[6,8],[7]] => [3,2,3]
[[1,2,5],[3,4],[6,8],[7]] => [2,3,3]
[[1,3,4],[2,5],[6,8],[7]] => [4,4]
[[1,2,4],[3,5],[6,8],[7]] => [2,2,4]
[[1,2,3],[4,5],[6,8],[7]] => [3,2,3]
[[1,4,7],[2,5],[3,6],[8]] => [4,3,1]
[[1,3,7],[2,5],[4,6],[8]] => [3,2,2,1]
[[1,2,7],[3,5],[4,6],[8]] => [2,3,2,1]
[[1,3,7],[2,4],[5,6],[8]] => [3,4,1]
[[1,2,7],[3,4],[5,6],[8]] => [2,2,3,1]
[[1,4,6],[2,5],[3,7],[8]] => [4,2,2]
[[1,3,6],[2,5],[4,7],[8]] => [3,3,2]
[[1,2,6],[3,5],[4,7],[8]] => [2,4,2]
[[1,3,6],[2,4],[5,7],[8]] => [3,3,2]
[[1,2,6],[3,4],[5,7],[8]] => [2,2,2,2]
[[1,4,5],[2,6],[3,7],[8]] => [5,3]
[[1,3,5],[2,6],[4,7],[8]] => [3,2,3]
[[1,2,5],[3,6],[4,7],[8]] => [2,3,3]
[[1,3,4],[2,6],[5,7],[8]] => [4,2,2]
[[1,2,4],[3,6],[5,7],[8]] => [2,2,2,2]
[[1,2,3],[4,6],[5,7],[8]] => [3,3,2]
[[1,3,5],[2,4],[6,7],[8]] => [3,2,2,1]
[[1,2,5],[3,4],[6,7],[8]] => [2,3,2,1]
[[1,3,4],[2,5],[6,7],[8]] => [4,3,1]
[[1,2,4],[3,5],[6,7],[8]] => [2,2,3,1]
[[1,2,3],[4,5],[6,7],[8]] => [3,2,2,1]
[[1,6,8],[2,7],[3],[4],[5]] => [6,2]
[[1,5,8],[2,7],[3],[4],[6]] => [5,3]
[[1,4,8],[2,7],[3],[5],[6]] => [4,4]
[[1,3,8],[2,7],[4],[5],[6]] => [3,5]
[[1,2,8],[3,7],[4],[5],[6]] => [2,6]
[[1,5,8],[2,6],[3],[4],[7]] => [5,3]
[[1,4,8],[2,6],[3],[5],[7]] => [4,2,2]
[[1,3,8],[2,6],[4],[5],[7]] => [3,3,2]
[[1,2,8],[3,6],[4],[5],[7]] => [2,4,2]
[[1,4,8],[2,5],[3],[6],[7]] => [4,4]
[[1,3,8],[2,5],[4],[6],[7]] => [3,2,3]
[[1,2,8],[3,5],[4],[6],[7]] => [2,3,3]
[[1,3,8],[2,4],[5],[6],[7]] => [3,5]
[[1,2,8],[3,4],[5],[6],[7]] => [2,2,4]
[[1,6,7],[2,8],[3],[4],[5]] => [7,1]
[[1,5,7],[2,8],[3],[4],[6]] => [5,2,1]
[[1,4,7],[2,8],[3],[5],[6]] => [4,3,1]
[[1,3,7],[2,8],[4],[5],[6]] => [3,4,1]
[[1,2,7],[3,8],[4],[5],[6]] => [2,5,1]
[[1,5,6],[2,8],[3],[4],[7]] => [6,2]
[[1,4,6],[2,8],[3],[5],[7]] => [4,2,2]
[[1,3,6],[2,8],[4],[5],[7]] => [3,3,2]
[[1,2,6],[3,8],[4],[5],[7]] => [2,4,2]
[[1,4,5],[2,8],[3],[6],[7]] => [5,3]
[[1,3,5],[2,8],[4],[6],[7]] => [3,2,3]
[[1,2,5],[3,8],[4],[6],[7]] => [2,3,3]
[[1,3,4],[2,8],[5],[6],[7]] => [4,4]
[[1,2,4],[3,8],[5],[6],[7]] => [2,2,4]
[[1,2,3],[4,8],[5],[6],[7]] => [3,5]
[[1,5,7],[2,6],[3],[4],[8]] => [5,2,1]
[[1,4,7],[2,6],[3],[5],[8]] => [4,3,1]
[[1,3,7],[2,6],[4],[5],[8]] => [3,4,1]
[[1,2,7],[3,6],[4],[5],[8]] => [2,5,1]
[[1,4,7],[2,5],[3],[6],[8]] => [4,3,1]
[[1,3,7],[2,5],[4],[6],[8]] => [3,2,2,1]
[[1,2,7],[3,5],[4],[6],[8]] => [2,3,2,1]
[[1,3,7],[2,4],[5],[6],[8]] => [3,4,1]
[[1,2,7],[3,4],[5],[6],[8]] => [2,2,3,1]
[[1,5,6],[2,7],[3],[4],[8]] => [6,2]
[[1,4,6],[2,7],[3],[5],[8]] => [4,2,2]
[[1,3,6],[2,7],[4],[5],[8]] => [3,3,2]
[[1,2,6],[3,7],[4],[5],[8]] => [2,4,2]
[[1,4,5],[2,7],[3],[6],[8]] => [5,2,1]
[[1,3,5],[2,7],[4],[6],[8]] => [3,2,2,1]
[[1,2,5],[3,7],[4],[6],[8]] => [2,3,2,1]
[[1,3,4],[2,7],[5],[6],[8]] => [4,3,1]
[[1,2,4],[3,7],[5],[6],[8]] => [2,2,3,1]
[[1,2,3],[4,7],[5],[6],[8]] => [3,4,1]
[[1,4,6],[2,5],[3],[7],[8]] => [4,2,2]
[[1,3,6],[2,5],[4],[7],[8]] => [3,3,2]
[[1,2,6],[3,5],[4],[7],[8]] => [2,4,2]
[[1,3,6],[2,4],[5],[7],[8]] => [3,3,2]
[[1,2,6],[3,4],[5],[7],[8]] => [2,2,2,2]
[[1,4,5],[2,6],[3],[7],[8]] => [5,3]
[[1,3,5],[2,6],[4],[7],[8]] => [3,2,3]
[[1,2,5],[3,6],[4],[7],[8]] => [2,3,3]
[[1,3,4],[2,6],[5],[7],[8]] => [4,2,2]
[[1,2,4],[3,6],[5],[7],[8]] => [2,2,2,2]
[[1,2,3],[4,6],[5],[7],[8]] => [3,3,2]
[[1,3,5],[2,4],[6],[7],[8]] => [3,2,3]
[[1,2,5],[3,4],[6],[7],[8]] => [2,3,3]
[[1,3,4],[2,5],[6],[7],[8]] => [4,4]
[[1,2,4],[3,5],[6],[7],[8]] => [2,2,4]
[[1,2,3],[4,5],[6],[7],[8]] => [3,2,3]
[[1,7,8],[2],[3],[4],[5],[6]] => [8]
[[1,6,8],[2],[3],[4],[5],[7]] => [6,2]
[[1,5,8],[2],[3],[4],[6],[7]] => [5,3]
[[1,4,8],[2],[3],[5],[6],[7]] => [4,4]
[[1,3,8],[2],[4],[5],[6],[7]] => [3,5]
[[1,2,8],[3],[4],[5],[6],[7]] => [2,6]
[[1,6,7],[2],[3],[4],[5],[8]] => [7,1]
[[1,5,7],[2],[3],[4],[6],[8]] => [5,2,1]
[[1,4,7],[2],[3],[5],[6],[8]] => [4,3,1]
[[1,3,7],[2],[4],[5],[6],[8]] => [3,4,1]
[[1,2,7],[3],[4],[5],[6],[8]] => [2,5,1]
[[1,5,6],[2],[3],[4],[7],[8]] => [6,2]
[[1,4,6],[2],[3],[5],[7],[8]] => [4,2,2]
[[1,3,6],[2],[4],[5],[7],[8]] => [3,3,2]
[[1,2,6],[3],[4],[5],[7],[8]] => [2,4,2]
[[1,4,5],[2],[3],[6],[7],[8]] => [5,3]
[[1,3,5],[2],[4],[6],[7],[8]] => [3,2,3]
[[1,2,5],[3],[4],[6],[7],[8]] => [2,3,3]
[[1,3,4],[2],[5],[6],[7],[8]] => [4,4]
[[1,2,4],[3],[5],[6],[7],[8]] => [2,2,4]
[[1,2,3],[4],[5],[6],[7],[8]] => [3,5]
[[1,5],[2,6],[3,7],[4,8]] => [5,3]
[[1,4],[2,6],[3,7],[5,8]] => [4,2,2]
[[1,3],[2,6],[4,7],[5,8]] => [3,3,2]
[[1,2],[3,6],[4,7],[5,8]] => [2,4,2]
[[1,4],[2,5],[3,7],[6,8]] => [4,3,1]
[[1,3],[2,5],[4,7],[6,8]] => [3,2,2,1]
[[1,2],[3,5],[4,7],[6,8]] => [2,3,2,1]
[[1,3],[2,4],[5,7],[6,8]] => [3,4,1]
[[1,2],[3,4],[5,7],[6,8]] => [2,2,3,1]
[[1,4],[2,5],[3,6],[7,8]] => [4,4]
[[1,3],[2,5],[4,6],[7,8]] => [3,2,3]
[[1,2],[3,5],[4,6],[7,8]] => [2,3,3]
[[1,3],[2,4],[5,6],[7,8]] => [3,3,2]
[[1,2],[3,4],[5,6],[7,8]] => [2,2,2,2]
[[1,6],[2,7],[3,8],[4],[5]] => [6,2]
[[1,5],[2,7],[3,8],[4],[6]] => [5,2,1]
[[1,4],[2,7],[3,8],[5],[6]] => [4,3,1]
[[1,3],[2,7],[4,8],[5],[6]] => [3,4,1]
[[1,2],[3,7],[4,8],[5],[6]] => [2,5,1]
[[1,5],[2,6],[3,8],[4],[7]] => [5,3]
[[1,4],[2,6],[3,8],[5],[7]] => [4,2,2]
[[1,3],[2,6],[4,8],[5],[7]] => [3,3,2]
[[1,2],[3,6],[4,8],[5],[7]] => [2,4,2]
[[1,4],[2,5],[3,8],[6],[7]] => [4,4]
[[1,3],[2,5],[4,8],[6],[7]] => [3,2,3]
[[1,2],[3,5],[4,8],[6],[7]] => [2,3,3]
[[1,3],[2,4],[5,8],[6],[7]] => [3,5]
[[1,2],[3,4],[5,8],[6],[7]] => [2,2,4]
[[1,5],[2,6],[3,7],[4],[8]] => [5,3]
[[1,4],[2,6],[3,7],[5],[8]] => [4,2,2]
[[1,3],[2,6],[4,7],[5],[8]] => [3,3,2]
[[1,2],[3,6],[4,7],[5],[8]] => [2,4,2]
[[1,4],[2,5],[3,7],[6],[8]] => [4,3,1]
[[1,3],[2,5],[4,7],[6],[8]] => [3,2,2,1]
[[1,2],[3,5],[4,7],[6],[8]] => [2,3,2,1]
[[1,3],[2,4],[5,7],[6],[8]] => [3,4,1]
[[1,2],[3,4],[5,7],[6],[8]] => [2,2,3,1]
[[1,4],[2,5],[3,6],[7],[8]] => [4,4]
[[1,3],[2,5],[4,6],[7],[8]] => [3,2,3]
[[1,2],[3,5],[4,6],[7],[8]] => [2,3,3]
[[1,3],[2,4],[5,6],[7],[8]] => [3,3,2]
[[1,2],[3,4],[5,6],[7],[8]] => [2,2,2,2]
[[1,7],[2,8],[3],[4],[5],[6]] => [7,1]
[[1,6],[2,8],[3],[4],[5],[7]] => [6,2]
[[1,5],[2,8],[3],[4],[6],[7]] => [5,3]
[[1,4],[2,8],[3],[5],[6],[7]] => [4,4]
[[1,3],[2,8],[4],[5],[6],[7]] => [3,5]
[[1,2],[3,8],[4],[5],[6],[7]] => [2,6]
[[1,6],[2,7],[3],[4],[5],[8]] => [6,2]
[[1,5],[2,7],[3],[4],[6],[8]] => [5,2,1]
[[1,4],[2,7],[3],[5],[6],[8]] => [4,3,1]
[[1,3],[2,7],[4],[5],[6],[8]] => [3,4,1]
[[1,2],[3,7],[4],[5],[6],[8]] => [2,5,1]
[[1,5],[2,6],[3],[4],[7],[8]] => [5,3]
[[1,4],[2,6],[3],[5],[7],[8]] => [4,2,2]
[[1,3],[2,6],[4],[5],[7],[8]] => [3,3,2]
[[1,2],[3,6],[4],[5],[7],[8]] => [2,4,2]
[[1,4],[2,5],[3],[6],[7],[8]] => [4,4]
[[1,3],[2,5],[4],[6],[7],[8]] => [3,2,3]
[[1,2],[3,5],[4],[6],[7],[8]] => [2,3,3]
[[1,3],[2,4],[5],[6],[7],[8]] => [3,5]
[[1,2],[3,4],[5],[6],[7],[8]] => [2,2,4]
[[1,8],[2],[3],[4],[5],[6],[7]] => [8]
[[1,7],[2],[3],[4],[5],[6],[8]] => [7,1]
[[1,6],[2],[3],[4],[5],[7],[8]] => [6,2]
[[1,5],[2],[3],[4],[6],[7],[8]] => [5,3]
[[1,4],[2],[3],[5],[6],[7],[8]] => [4,4]
[[1,3],[2],[4],[5],[6],[7],[8]] => [3,5]
[[1,2],[3],[4],[5],[6],[7],[8]] => [2,6]
[[1],[2],[3],[4],[5],[6],[7],[8]] => [8]
[[1,2,3,4,5,6,7,8,9]] => [9]
[[1,2,3,4,5,6,7,8],[9]] => [8,1]
[[1,2,3,4,5,6,7],[8,9]] => [7,2]
[[1,2,3,4,5,6,7],[8],[9]] => [7,2]
[[1,2,3,4,5,6],[7,8,9]] => [6,3]
[[1,2,3,4,5,6],[7,8],[9]] => [6,2,1]
[[1,2,3,4,5,6],[7],[8],[9]] => [6,3]
[[1,2,3,4,5],[6,7,8,9]] => [5,4]
[[1,2,3,4,5],[6,7,8],[9]] => [5,3,1]
[[1,2,3,4,5],[6,7],[8,9]] => [5,2,2]
[[1,2,3,4,5],[6,7],[8],[9]] => [5,2,2]
[[1,2,3,4,5],[6],[7],[8],[9]] => [5,4]
[[1,2,3,4],[5,6,7,8],[9]] => [4,4,1]
[[1,2,3,4],[5,6,7],[8,9]] => [4,3,2]
[[1,2,3,4],[5,6,7],[8],[9]] => [4,3,2]
[[1,2,3,4],[5,6],[7,8],[9]] => [4,2,2,1]
[[1,2,3,4],[5,6],[7],[8],[9]] => [4,2,3]
[[1,2,3,4],[5],[6],[7],[8],[9]] => [4,5]
[[1,2,3],[4,5,6],[7,8,9]] => [3,3,3]
[[1,2,3],[4,5,6],[7,8],[9]] => [3,3,2,1]
[[1,2,3],[4,5,6],[7],[8],[9]] => [3,3,3]
[[1,2,3],[4,5],[6,7],[8,9]] => [3,2,2,2]
[[1,2,3],[4,5],[6,7],[8],[9]] => [3,2,2,2]
[[1,2,3],[4,5],[6],[7],[8],[9]] => [3,2,4]
[[1,2,3],[4],[5],[6],[7],[8],[9]] => [3,6]
[[1,2],[3,4],[5,6],[7,8],[9]] => [2,2,2,2,1]
[[1,2],[3,4],[5,6],[7],[8],[9]] => [2,2,2,3]
[[1,2],[3,4],[5],[6],[7],[8],[9]] => [2,2,5]
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [2,7]
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9]
[[1,3,4,5,6,7,8,9],[2]] => [9]
[[1,2,5,6,7,8,9],[3,4]] => [2,7]
[[1,4,5,6,7,8,9],[2],[3]] => [9]
[[1,2,3,7,8,9],[4,5,6]] => [3,6]
[[1,3,6,7,8,9],[2,5],[4]] => [3,6]
[[1,5,6,7,8,9],[2],[3],[4]] => [9]
[[1,2,3,4,9],[5,6,7,8]] => [4,5]
[[1,3,4,8,9],[2,6,7],[5]] => [4,5]
[[1,2,7,8,9],[3,4],[5,6]] => [2,2,5]
[[1,4,7,8,9],[2,6],[3],[5]] => [4,5]
[[1,6,7,8,9],[2],[3],[4],[5]] => [9]
[[1,3,4,5],[2,7,8,9],[6]] => [5,4]
[[1,2,5,9],[3,4,8],[6,7]] => [2,3,4]
[[1,4,5,9],[2,7,8],[3],[6]] => [5,4]
[[1,3,8,9],[2,5],[4,7],[6]] => [3,2,4]
[[1,5,8,9],[2,7],[3],[4],[6]] => [5,4]
[[1,7,8,9],[2],[3],[4],[5],[6]] => [9]
[[1,3,6],[2,5,9],[4,8],[7]] => [3,3,3]
[[1,5,6],[2,8,9],[3],[4],[7]] => [6,3]
[[1,2,9],[3,4],[5,6],[7,8]] => [2,2,2,3]
[[1,4,9],[2,6],[3,8],[5],[7]] => [4,2,3]
[[1,6,9],[2,8],[3],[4],[5],[7]] => [6,3]
[[1,8,9],[2],[3],[4],[5],[6],[7]] => [9]
[[1,3],[2,5],[4,7],[6,9],[8]] => [3,2,2,2]
[[1,5],[2,7],[3,9],[4],[6],[8]] => [5,2,2]
[[1,7],[2,9],[3],[4],[5],[6],[8]] => [7,2]
[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [9]
[[1,4,7],[2,5,8],[3,6,9]] => [4,3,2]
[[1,2,3,4,5,6,7,9],[8]] => [7,2]
[[1,2,3,4,5,6,9],[7,8]] => [6,3]
[[1,2,3,4,5,6,9],[7],[8]] => [6,3]
[[1,2,3,4,5,9],[6,7,8]] => [5,4]
[[1,2,3,4,5,9],[6,7],[8]] => [5,2,2]
[[1,2,3,4,5,9],[6],[7],[8]] => [5,4]
[[1,2,3,4,9],[5,6,7],[8]] => [4,3,2]
[[1,2,3,4,9],[5,6],[7,8]] => [4,2,3]
[[1,2,3,4,9],[5,6],[7],[8]] => [4,2,3]
[[1,2,3,4,9],[5],[6],[7],[8]] => [4,5]
[[1,2,3,7],[4,5,6,9],[8]] => [3,4,2]
[[1,2,3,9],[4,5,6],[7,8]] => [3,3,3]
[[1,2,3,9],[4,5,6],[7],[8]] => [3,3,3]
[[1,2,3,9],[4,5],[6,7],[8]] => [3,2,2,2]
[[1,2,3,9],[4,5],[6],[7],[8]] => [3,2,4]
[[1,2,3,9],[4],[5],[6],[7],[8]] => [3,6]
[[1,2,5],[3,4,8],[6,7,9]] => [2,3,3,1]
[[1,2,5],[3,4,9],[6,7],[8]] => [2,3,2,2]
[[1,2,5],[3,4,9],[6],[7],[8]] => [2,3,4]
[[1,2,9],[3,4],[5,6],[7],[8]] => [2,2,2,3]
[[1,2,9],[3,4],[5],[6],[7],[8]] => [2,2,5]
[[1,2,9],[3],[4],[5],[6],[7],[8]] => [2,7]
[[1,3],[2,5],[4,9],[6],[7],[8]] => [3,2,4]
[[1,3],[2,9],[4],[5],[6],[7],[8]] => [3,6]
[[1,2,4,5,6,7,8,9],[3]] => [2,7]
[[1,3,4,6,7,8,9],[2,5]] => [4,5]
[[1,3,5,6,7,8,9],[2],[4]] => [3,6]
[[1,3,5,6,8,9],[2,4,7]] => [3,3,3]
[[1,2,4,7,8,9],[3,5],[6]] => [2,2,5]
[[1,4,6,7,8,9],[2],[3],[5]] => [4,5]
[[1,3,5,7,8],[2,4,6,9]] => [3,2,3,1]
[[1,2,5,7,9],[3,6,8],[4]] => [2,3,2,2]
[[1,4,6,8,9],[2,5],[3,7]] => [4,2,3]
[[1,3,5,8,9],[2,6],[4],[7]] => [3,2,4]
[[1,5,7,8,9],[2],[3],[4],[6]] => [5,4]
[[1,2,5,6],[3,7,8,9],[4]] => [2,4,3]
[[1,3,4,7],[2,6,8],[5,9]] => [4,3,2]
[[1,3,6,8],[2,7,9],[4],[5]] => [3,3,2,1]
[[1,2,6,9],[3,4],[5,7],[8]] => [2,2,2,3]
[[1,4,6,9],[2,7],[3],[5],[8]] => [4,2,3]
[[1,6,8,9],[2],[3],[4],[5],[7]] => [6,3]
[[1,2,4],[3,5,7],[6,8],[9]] => [2,2,3,2]
[[1,4,7],[2,8,9],[3],[5],[6]] => [4,3,2]
[[1,5,8],[2,6],[3,7],[4,9]] => [5,3,1]
[[1,3,7],[2,5],[4,8],[6],[9]] => [3,2,2,2]
[[1,5,7],[2,8],[3],[4],[6],[9]] => [5,2,2]
[[1,7,9],[2],[3],[4],[5],[6],[8]] => [7,2]
[[1,4],[2,6],[3,8],[5],[7],[9]] => [4,2,2,1]
[[1,6],[2,8],[3],[4],[5],[7],[9]] => [6,2,1]
[[1,8],[2],[3],[4],[5],[6],[7],[9]] => [8,1]
[[1,3,4,5,6,7,8],[2,9]] => [8,1]
[[1,3,4,5,6,7,8],[2],[9]] => [8,1]
[[1,3,4,5,6,7],[2,8,9]] => [7,2]
[[1,3,4,5,6,7],[2,9],[8]] => [7,2]
[[1,3,4,5,6,7],[2],[8],[9]] => [7,2]
[[1,3,4,5,6],[2,7,8,9]] => [6,3]
[[1,3,4,5,6],[2,8,9],[7]] => [6,3]
[[1,3,4,5,6],[2,8],[7,9]] => [6,2,1]
[[1,3,4,5,6],[2,8],[7],[9]] => [6,2,1]
[[1,3,4,5,6],[2],[7],[8],[9]] => [6,3]
[[1,3,4,5],[2,7,8],[6,9]] => [5,3,1]
[[1,3,4,5],[2,7,8],[6],[9]] => [5,3,1]
[[1,3,4,5],[2,7],[6,9],[8]] => [5,2,2]
[[1,3,4,5],[2,7],[6],[8],[9]] => [5,2,2]
[[1,3,4,5],[2],[6],[7],[8],[9]] => [5,4]
[[1,3,4],[2,6,7],[5,8,9]] => [4,3,2]
[[1,3,4],[2,6,7],[5,9],[8]] => [4,3,2]
[[1,3,4],[2,6,7],[5],[8],[9]] => [4,3,2]
[[1,3,4],[2,6],[5,8],[7,9]] => [4,2,2,1]
[[1,3,4],[2,6],[5,8],[7],[9]] => [4,2,2,1]
[[1,3,4],[2,6],[5],[7],[8],[9]] => [4,2,3]
[[1,3,4],[2],[5],[6],[7],[8],[9]] => [4,5]
[[1,3],[2,5],[4,7],[6],[8],[9]] => [3,2,2,2]
[[1,3],[2,5],[4],[6],[7],[8],[9]] => [3,2,4]
[[1,3],[2],[4],[5],[6],[7],[8],[9]] => [3,6]
[[1,2,5,6,7,8],[3,4,9]] => [2,6,1]
[[1,2,5,6,7,8],[3,4],[9]] => [2,6,1]
[[1,4,5,6,7,8],[2],[3],[9]] => [8,1]
[[1,2,3,7,8],[4,5,6,9]] => [3,5,1]
[[1,2,3,7,8],[4,5,6],[9]] => [3,5,1]
[[1,3,6,7,8],[2,5],[4,9]] => [3,5,1]
[[1,3,6,7,8],[2,5],[4],[9]] => [3,5,1]
[[1,5,6,7,8],[2],[3],[4],[9]] => [8,1]
[[1,3,4,8],[2,6,7],[5,9]] => [4,4,1]
[[1,3,4,8],[2,6,7],[5],[9]] => [4,4,1]
[[1,2,7,8],[3,4],[5,6],[9]] => [2,2,4,1]
[[1,4,7,8],[2,6],[3],[5],[9]] => [4,4,1]
[[1,6,7,8],[2],[3],[4],[5],[9]] => [8,1]
[[1,2,5],[3,4,8],[6,7],[9]] => [2,3,3,1]
[[1,4,5],[2,7,8],[3],[6],[9]] => [5,3,1]
[[1,3,8],[2,5],[4,7],[6,9]] => [3,2,3,1]
[[1,3,8],[2,5],[4,7],[6],[9]] => [3,2,3,1]
[[1,5,8],[2,7],[3],[4],[6],[9]] => [5,3,1]
[[1,7,8],[2],[3],[4],[5],[6],[9]] => [8,1]
[[1,2,3,6,7,8,9],[4,5]] => [3,6]
[[1,2,5,6,7,8,9],[3],[4]] => [2,7]
[[1,2,3,4,8,9],[5,6,7]] => [4,5]
[[1,2,4,7,8,9],[3,6],[5]] => [2,2,5]
[[1,2,6,7,8,9],[3],[4],[5]] => [2,7]
[[1,2,4,5,9],[3,7,8],[6]] => [2,3,4]
[[1,2,3,8,9],[4,5],[6,7]] => [3,2,4]
[[1,2,5,8,9],[3,7],[4],[6]] => [2,3,4]
[[1,2,7,8,9],[3],[4],[5],[6]] => [2,7]
[[1,2,5,6],[3,4,8,9],[7]] => [2,4,3]
[[1,2,3,6],[4,5,9],[7,8]] => [3,3,3]
[[1,2,5,6],[3,8,9],[4],[7]] => [2,4,3]
[[1,2,4,9],[3,6],[5,8],[7]] => [2,2,2,3]
[[1,2,6,9],[3,8],[4],[5],[7]] => [2,4,3]
[[1,2,8,9],[3],[4],[5],[6],[7]] => [2,7]
[[1,2,4],[3,6,7],[5,9],[8]] => [2,2,3,2]
[[1,2,7],[3,6,9],[4],[5],[8]] => [2,5,2]
[[1,2,5],[3,7],[4,9],[6],[8]] => [2,3,2,2]
[[1,2,7],[3,9],[4],[5],[6],[8]] => [2,5,2]
[[1,2],[3,6],[4,8],[5],[7],[9]] => [2,4,2,1]
[[1,2],[3,8],[4],[5],[6],[7],[9]] => [2,6,1]
[[1,2,3,4,7,8,9],[5,6]] => [4,5]
[[1,2,4,5,8,9],[3,7],[6]] => [2,3,4]
[[1,2,4,5,6,7],[3,9],[8]] => [2,5,2]
[[1,2,5,6,9],[3,8],[4],[7]] => [2,4,3]
[[1,2,3,4,7,8],[5,6],[9]] => [4,4,1]
[[1,2,5,6,7,8],[3],[4],[9]] => [2,6,1]
[[1,2,4,5],[3,7],[6,9],[8]] => [2,3,2,2]
[[1,2,6,7],[3,9],[4],[5],[8]] => [2,5,2]
[[1,2,5,6],[3,8],[4],[7],[9]] => [2,4,2,1]
[[1,2,7,8],[3],[4],[5],[6],[9]] => [2,6,1]
[[1,3,5,7,9],[2,4,6,8,10]] => [3,2,2,2,1]
[[1,3,5,7,8],[2,4,6,9,10]] => [3,2,3,2]
[[1,3,5,6,9],[2,4,7,8,10]] => [3,3,3,1]
[[1,3,5,6,8],[2,4,7,9,10]] => [3,3,2,2]
[[1,3,5,6,7],[2,4,8,9,10]] => [3,4,3]
[[1,3,4,7,9],[2,5,6,8,10]] => [4,3,2,1]
[[1,3,4,7,8],[2,5,6,9,10]] => [4,4,2]
[[1,3,4,6,9],[2,5,7,8,10]] => [4,2,3,1]
[[1,3,4,6,8],[2,5,7,9,10]] => [4,2,2,2]
[[1,3,4,6,7],[2,5,8,9,10]] => [4,3,3]
[[1,3,4,5,9],[2,6,7,8,10]] => [5,4,1]
[[1,3,4,5,8],[2,6,7,9,10]] => [5,3,2]
[[1,3,4,5,7],[2,6,8,9,10]] => [5,2,3]
[[1,3,4,5,6],[2,7,8,9,10]] => [6,4]
[[1,2,5,7,9],[3,4,6,8,10]] => [2,3,2,2,1]
[[1,2,5,7,8],[3,4,6,9,10]] => [2,3,3,2]
[[1,2,5,6,9],[3,4,7,8,10]] => [2,4,3,1]
[[1,2,5,6,8],[3,4,7,9,10]] => [2,4,2,2]
[[1,2,5,6,7],[3,4,8,9,10]] => [2,5,3]
[[1,2,4,7,9],[3,5,6,8,10]] => [2,2,3,2,1]
[[1,2,4,7,8],[3,5,6,9,10]] => [2,2,4,2]
[[1,2,4,6,9],[3,5,7,8,10]] => [2,2,2,3,1]
[[1,2,4,6,8],[3,5,7,9,10]] => [2,2,2,2,2]
[[1,2,4,6,7],[3,5,8,9,10]] => [2,2,3,3]
[[1,2,4,5,9],[3,6,7,8,10]] => [2,3,4,1]
[[1,2,4,5,8],[3,6,7,9,10]] => [2,3,3,2]
[[1,2,4,5,7],[3,6,8,9,10]] => [2,3,2,3]
[[1,2,4,5,6],[3,7,8,9,10]] => [2,4,4]
[[1,2,3,7,9],[4,5,6,8,10]] => [3,4,2,1]
[[1,2,3,7,8],[4,5,6,9,10]] => [3,5,2]
[[1,2,3,6,9],[4,5,7,8,10]] => [3,3,3,1]
[[1,2,3,6,8],[4,5,7,9,10]] => [3,3,2,2]
[[1,2,3,6,7],[4,5,8,9,10]] => [3,4,3]
[[1,2,3,5,9],[4,6,7,8,10]] => [3,2,4,1]
[[1,2,3,5,8],[4,6,7,9,10]] => [3,2,3,2]
[[1,2,3,5,7],[4,6,8,9,10]] => [3,2,2,3]
[[1,2,3,5,6],[4,7,8,9,10]] => [3,3,4]
[[1,2,3,4,9],[5,6,7,8,10]] => [4,5,1]
[[1,2,3,4,8],[5,6,7,9,10]] => [4,4,2]
[[1,2,3,4,7],[5,6,8,9,10]] => [4,3,3]
[[1,2,3,4,6],[5,7,8,9,10]] => [4,2,4]
[[1,2,3,4,5],[6,7,8,9,10]] => [5,5]
[[1,2,3,4,5,6,7,8,9,10]] => [10]
[[1,2,3,4,5,6,7,8,9],[10]] => [9,1]
[[1,2,3,4,5,6,7,8],[9,10]] => [8,2]
[[1,2,3,4,5,6,7,8],[9],[10]] => [8,2]
[[1,2,3,4,5,6,7],[8,9,10]] => [7,3]
[[1,2,3,4,5,6,7],[8,9],[10]] => [7,2,1]
[[1,2,3,4,5,6,7],[8],[9],[10]] => [7,3]
[[1,2,3,4,5,6],[7,8,9,10]] => [6,4]
[[1,2,3,4,5,6],[7,8,9],[10]] => [6,3,1]
[[1,2,3,4,5,6],[7,8],[9,10]] => [6,2,2]
[[1,2,3,4,5,6],[7,8],[9],[10]] => [6,2,2]
[[1,2,3,4,5,6],[7],[8],[9],[10]] => [6,4]
[[1,2,3,4,5],[6,7,8,9],[10]] => [5,4,1]
[[1,2,3,4,5],[6,7,8],[9,10]] => [5,3,2]
[[1,2,3,4,5],[6,7,8],[9],[10]] => [5,3,2]
[[1,2,3,4,5],[6,7],[8,9],[10]] => [5,2,2,1]
[[1,2,3,4,5],[6,7],[8],[9],[10]] => [5,2,3]
[[1,2,3,4,5],[6],[7],[8],[9],[10]] => [5,5]
[[1,2,3,4],[5,6,7,8],[9,10]] => [4,4,2]
[[1,2,3,4],[5,6,7,8],[9],[10]] => [4,4,2]
[[1,2,3,4],[5,6,7],[8,9,10]] => [4,3,3]
[[1,2,3,4],[5,6,7],[8,9],[10]] => [4,3,2,1]
[[1,2,3,4],[5,6,7],[8],[9],[10]] => [4,3,3]
[[1,2,3,4],[5,6],[7,8],[9,10]] => [4,2,2,2]
[[1,2,3,4],[5,6],[7,8],[9],[10]] => [4,2,2,2]
[[1,2,3,4],[5,6],[7],[8],[9],[10]] => [4,2,4]
[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [4,6]
[[1,2,3],[4,5,6],[7,8,9],[10]] => [3,3,3,1]
[[1,2,3],[4,5,6],[7,8],[9,10]] => [3,3,2,2]
[[1,2,3],[4,5,6],[7,8],[9],[10]] => [3,3,2,2]
[[1,2,3],[4,5,6],[7],[8],[9],[10]] => [3,3,4]
[[1,2,3],[4,5],[6,7],[8,9],[10]] => [3,2,2,2,1]
[[1,2,3],[4,5],[6,7],[8],[9],[10]] => [3,2,2,3]
[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [3,2,5]
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [3,7]
[[1,2],[3,4],[5,6],[7,8],[9,10]] => [2,2,2,2,2]
[[1,2],[3,4],[5,6],[7,8],[9],[10]] => [2,2,2,2,2]
[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [2,2,2,4]
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [2,2,6]
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [2,8]
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10]
[[1,3,4,5,6,7,8,9,10],[2]] => [10]
[[1,2,5,6,7,8,9,10],[3,4]] => [2,8]
[[1,4,5,6,7,8,9,10],[2],[3]] => [10]
[[1,2,3,7,8,9,10],[4,5,6]] => [3,7]
[[1,3,6,7,8,9,10],[2,5],[4]] => [3,7]
[[1,5,6,7,8,9,10],[2],[3],[4]] => [10]
[[1,2,3,4,9,10],[5,6,7,8]] => [4,6]
[[1,3,4,8,9,10],[2,6,7],[5]] => [4,6]
[[1,2,7,8,9,10],[3,4],[5,6]] => [2,2,6]
[[1,4,7,8,9,10],[2,6],[3],[5]] => [4,6]
[[1,6,7,8,9,10],[2],[3],[4],[5]] => [10]
[[1,3,4,5,10],[2,7,8,9],[6]] => [5,5]
[[1,2,5,9,10],[3,4,8],[6,7]] => [2,3,5]
[[1,4,5,9,10],[2,7,8],[3],[6]] => [5,5]
[[1,3,8,9,10],[2,5],[4,7],[6]] => [3,2,5]
[[1,5,8,9,10],[2,7],[3],[4],[6]] => [5,5]
[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [10]
[[1,2,5,6],[3,4,9,10],[7,8]] => [2,4,4]
[[1,4,5,6],[2,8,9,10],[3],[7]] => [6,4]
[[1,2,3,10],[4,5,6],[7,8,9]] => [3,3,4]
[[1,3,6,10],[2,5,9],[4,8],[7]] => [3,3,4]
[[1,5,6,10],[2,8,9],[3],[4],[7]] => [6,4]
[[1,2,9,10],[3,4],[5,6],[7,8]] => [2,2,2,4]
[[1,4,9,10],[2,6],[3,8],[5],[7]] => [4,2,4]
[[1,6,9,10],[2,8],[3],[4],[5],[7]] => [6,4]
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [10]
[[1,3,4],[2,6,7],[5,9,10],[8]] => [4,3,3]
[[1,2,7],[3,4,10],[5,6],[8,9]] => [2,2,3,3]
[[1,4,7],[2,6,10],[3,9],[5],[8]] => [4,3,3]
[[1,6,7],[2,9,10],[3],[4],[5],[8]] => [7,3]
[[1,3,10],[2,5],[4,7],[6,9],[8]] => [3,2,2,3]
[[1,5,10],[2,7],[3,9],[4],[6],[8]] => [5,2,3]
[[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [7,3]
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [10]
[[1,4],[2,6],[3,8],[5,10],[7],[9]] => [4,2,2,2]
[[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [6,2,2]
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [8,2]
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [10]
[[1,6],[2,7],[3,8],[4,9],[5,10]] => [6,4]
[[1,2,4,7],[3,5,8],[6,9],[10]] => [2,2,3,3]
[[1,3],[2,5],[4,7],[6,9],[8,10]] => [3,2,2,2,1]
[[1,2,3,4,5,6,7,8,10],[9]] => [8,2]
[[1,2,3,4,5,6,7,10],[8,9]] => [7,3]
[[1,2,3,4,5,6,7,10],[8],[9]] => [7,3]
[[1,2,3,4,5,6,10],[7,8,9]] => [6,4]
[[1,2,3,4,5,6,10],[7,8],[9]] => [6,2,2]
[[1,2,3,4,5,6,10],[7],[8],[9]] => [6,4]
[[1,2,3,4,5,10],[6,7,8,9]] => [5,5]
[[1,2,3,4,5,10],[6,7,8],[9]] => [5,3,2]
[[1,2,3,4,5,10],[6,7],[8,9]] => [5,2,3]
[[1,2,3,4,5,10],[6,7],[8],[9]] => [5,2,3]
[[1,2,3,4,5,10],[6],[7],[8],[9]] => [5,5]
[[1,2,3,4,10],[5,6,7,8],[9]] => [4,4,2]
[[1,2,3,4,10],[5,6,7],[8,9]] => [4,3,3]
[[1,2,3,4,10],[5,6,7],[8],[9]] => [4,3,3]
[[1,2,3,4,10],[5,6],[7,8],[9]] => [4,2,2,2]
[[1,2,3,4,10],[5,6],[7],[8],[9]] => [4,2,4]
[[1,2,3,4,10],[5],[6],[7],[8],[9]] => [4,6]
[[1,2,3,7],[4,5,6,10],[8,9]] => [3,4,3]
[[1,2,3,7],[4,5,6,10],[8],[9]] => [3,4,3]
[[1,2,3,10],[4,5,6],[7,8],[9]] => [3,3,2,2]
[[1,2,3,10],[4,5,6],[7],[8],[9]] => [3,3,4]
[[1,2,3,10],[4,5],[6,7],[8,9]] => [3,2,2,3]
[[1,2,3,10],[4,5],[6,7],[8],[9]] => [3,2,2,3]
[[1,2,3,10],[4,5],[6],[7],[8],[9]] => [3,2,5]
[[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [3,7]
[[1,2,5],[3,4,8],[6,7,10],[9]] => [2,3,3,2]
[[1,2,5],[3,4,10],[6,7],[8,9]] => [2,3,2,3]
[[1,2,5],[3,4,10],[6,7],[8],[9]] => [2,3,2,3]
[[1,2,5],[3,4,10],[6],[7],[8],[9]] => [2,3,5]
[[1,2,10],[3,4],[5,6],[7,8],[9]] => [2,2,2,2,2]
[[1,2,10],[3,4],[5,6],[7],[8],[9]] => [2,2,2,4]
[[1,2,10],[3,4],[5],[6],[7],[8],[9]] => [2,2,6]
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [2,8]
[[1,3],[2,5],[4,7],[6,10],[8],[9]] => [3,2,2,3]
[[1,3],[2,5],[4,10],[6],[7],[8],[9]] => [3,2,5]
[[1,3],[2,10],[4],[5],[6],[7],[8],[9]] => [3,7]
[[1,2,4,5,6,7,8,9,10],[3]] => [2,8]
[[1,3,4,6,7,8,9,10],[2,5]] => [4,6]
[[1,3,5,6,7,8,9,10],[2],[4]] => [3,7]
[[1,3,5,6,8,9,10],[2,4,7]] => [3,3,4]
[[1,2,4,7,8,9,10],[3,5],[6]] => [2,2,6]
[[1,4,6,7,8,9,10],[2],[3],[5]] => [4,6]
[[1,3,5,7,8,10],[2,4,6,9]] => [3,2,3,2]
[[1,2,5,7,9,10],[3,6,8],[4]] => [2,3,2,3]
[[1,4,6,8,9,10],[2,5],[3,7]] => [4,2,4]
[[1,3,5,8,9,10],[2,6],[4],[7]] => [3,2,5]
[[1,5,7,8,9,10],[2],[3],[4],[6]] => [5,5]
[[1,2,5,6,9],[3,7,8,10],[4]] => [2,4,3,1]
[[1,3,4,7,10],[2,6,8],[5,9]] => [4,3,3]
[[1,3,6,8,10],[2,7,9],[4],[5]] => [3,3,2,2]
[[1,2,6,9,10],[3,4],[5,7],[8]] => [2,2,2,4]
[[1,4,6,9,10],[2,7],[3],[5],[8]] => [4,2,4]
[[1,6,8,9,10],[2],[3],[4],[5],[7]] => [6,4]
[[1,3,4,8],[2,6,9,10],[5,7]] => [4,2,2,2]
[[1,3,6,7],[2,8,9,10],[4],[5]] => [3,4,3]
[[1,4,7,9],[2,5,8],[3,6,10]] => [4,3,2,1]
[[1,4,7,9],[2,8,10],[3],[5],[6]] => [4,3,2,1]
[[1,5,8,10],[2,6],[3,7],[4,9]] => [5,3,2]
[[1,3,7,10],[2,5],[4,8],[6],[9]] => [3,2,2,3]
[[1,5,7,10],[2,8],[3],[4],[6],[9]] => [5,2,3]
[[1,7,9,10],[2],[3],[4],[5],[6],[8]] => [7,3]
[[1,2,5],[3,7,8],[4,9,10],[6]] => [2,3,3,2]
[[1,4,6],[2,5,9],[3,8],[7,10]] => [4,2,3,1]
[[1,3,5],[2,6,8],[4,9],[7],[10]] => [3,2,3,2]
[[1,5,8],[2,9,10],[3],[4],[6],[7]] => [5,3,2]
[[1,2,8],[3,4],[5,6],[7,9],[10]] => [2,2,2,2,2]
[[1,4,8],[2,6],[3,9],[5],[7],[10]] => [4,2,2,2]
[[1,6,8],[2,9],[3],[4],[5],[7],[10]] => [6,2,2]
[[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => [8,2]
[[1,3],[2,5],[4,7],[6,9],[8],[10]] => [3,2,2,2,1]
[[1,5],[2,7],[3,9],[4],[6],[8],[10]] => [5,2,2,1]
[[1,7],[2,9],[3],[4],[5],[6],[8],[10]] => [7,2,1]
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [9,1]
[[1,3,4,5,6,7,8,9],[2,10]] => [9,1]
[[1,3,4,5,6,7,8,9],[2],[10]] => [9,1]
[[1,3,4,5,6,7,8],[2,9,10]] => [8,2]
[[1,3,4,5,6,7,8],[2,10],[9]] => [8,2]
[[1,3,4,5,6,7,8],[2],[9],[10]] => [8,2]
[[1,3,4,5,6,7],[2,8,9,10]] => [7,3]
[[1,3,4,5,6,7],[2,9,10],[8]] => [7,3]
[[1,3,4,5,6,7],[2,9],[8,10]] => [7,2,1]
[[1,3,4,5,6,7],[2,9],[8],[10]] => [7,2,1]
[[1,3,4,5,6,7],[2],[8],[9],[10]] => [7,3]
[[1,3,4,5,6],[2,8,9,10],[7]] => [6,4]
[[1,3,4,5,6],[2,8,9],[7,10]] => [6,3,1]
[[1,3,4,5,6],[2,8,9],[7],[10]] => [6,3,1]
[[1,3,4,5,6],[2,8],[7,10],[9]] => [6,2,2]
[[1,3,4,5,6],[2,8],[7],[9],[10]] => [6,2,2]
[[1,3,4,5,6],[2],[7],[8],[9],[10]] => [6,4]
[[1,3,4,5],[2,7,8,9],[6,10]] => [5,4,1]
[[1,3,4,5],[2,7,8,9],[6],[10]] => [5,4,1]
[[1,3,4,5],[2,7,8],[6,9,10]] => [5,3,2]
[[1,3,4,5],[2,7,8],[6,10],[9]] => [5,3,2]
[[1,3,4,5],[2,7,8],[6],[9],[10]] => [5,3,2]
[[1,3,4,5],[2,7],[6,9],[8,10]] => [5,2,2,1]
[[1,3,4,5],[2,7],[6,9],[8],[10]] => [5,2,2,1]
[[1,3,4,5],[2,7],[6],[8],[9],[10]] => [5,2,3]
[[1,3,4,5],[2],[6],[7],[8],[9],[10]] => [5,5]
[[1,3,4],[2,6,7],[5,9],[8,10]] => [4,3,2,1]
[[1,3,4],[2,6,7],[5,9],[8],[10]] => [4,3,2,1]
[[1,3,4],[2,6,7],[5],[8],[9],[10]] => [4,3,3]
[[1,3,4],[2,6],[5,8],[7,10],[9]] => [4,2,2,2]
[[1,3,4],[2,6],[5,8],[7],[9],[10]] => [4,2,2,2]
[[1,3,4],[2,6],[5],[7],[8],[9],[10]] => [4,2,4]
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]] => [4,6]
[[1,3],[2,5],[4,7],[6],[8],[9],[10]] => [3,2,2,3]
[[1,3],[2,5],[4],[6],[7],[8],[9],[10]] => [3,2,5]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [3,7]
[[1,2,4,6,8,10],[3,5,7,9]] => [2,2,2,2,2]
[[1,2,4,6,8,9,10],[3,5,7]] => [2,2,2,4]
[[1,2,4,6,7,8,10],[3,5,9]] => [2,2,4,2]
[[1,2,4,6,7,9,10],[3,5,8]] => [2,2,3,3]
[[1,2,4,6,7,8,9,10],[3,5]] => [2,2,6]
[[1,2,4,5,6,8,10],[3,7,9]] => [2,4,2,2]
[[1,2,4,5,6,9,10],[3,7,8]] => [2,4,4]
[[1,2,4,5,7,8,10],[3,6,9]] => [2,3,3,2]
[[1,2,4,5,7,9,10],[3,6,8]] => [2,3,2,3]
[[1,2,4,5,7,8,9,10],[3,6]] => [2,3,5]
[[1,2,4,5,6,7,8,10],[3,9]] => [2,6,2]
[[1,2,4,5,6,7,9,10],[3,8]] => [2,5,3]
[[1,2,4,5,6,8,9,10],[3,7]] => [2,4,4]
[[1,2,3,4,6,8,10],[5,7,9]] => [4,2,2,2]
[[1,2,3,4,6,9,10],[5,7,8]] => [4,2,4]
[[1,2,3,4,7,8,10],[5,6,9]] => [4,4,2]
[[1,2,3,4,7,9,10],[5,6,8]] => [4,3,3]
[[1,2,3,4,7,8,9,10],[5,6]] => [4,6]
[[1,2,3,5,6,8,10],[4,7,9]] => [3,3,2,2]
[[1,2,3,5,6,9,10],[4,7,8]] => [3,3,4]
[[1,2,3,5,7,8,10],[4,6,9]] => [3,2,3,2]
[[1,2,3,5,7,9,10],[4,6,8]] => [3,2,2,3]
[[1,2,3,5,7,8,9,10],[4,6]] => [3,2,5]
[[1,2,3,5,6,7,8,10],[4,9]] => [3,5,2]
[[1,2,3,5,6,7,9,10],[4,8]] => [3,4,3]
[[1,2,3,5,6,8,9,10],[4,7]] => [3,3,4]
[[1,2,3,5,6,7,8,9,10],[4]] => [3,7]
[[1,2,3,4,5,6,8,10],[7,9]] => [6,2,2]
[[1,2,3,4,5,6,9,10],[7,8]] => [6,4]
[[1,2,3,4,5,7,8,10],[6,9]] => [5,3,2]
[[1,2,3,4,5,7,9,10],[6,8]] => [5,2,3]
[[1,2,3,4,5,8,9,10],[6,7]] => [5,5]
[[1,2,3,4,6,7,8,10],[5,9]] => [4,4,2]
[[1,2,3,4,6,7,9,10],[5,8]] => [4,3,3]
[[1,2,3,4,6,8,9,10],[5,7]] => [4,2,4]
[[1,2,3,4,6,7,8,9,10],[5]] => [4,6]
[[1,2,3,4,5,6,7,9,10],[8]] => [7,3]
[[1,2,3,4,5,6,8,9,10],[7]] => [6,4]
[[1,2,3,4,5,7,8,9,10],[6]] => [5,5]
[[1,2,5,6,7,8,9],[3,4,10]] => [2,7,1]
[[1,2,5,6,7,8,9],[3,4],[10]] => [2,7,1]
[[1,4,5,6,7,8,9],[2],[3],[10]] => [9,1]
[[1,2,3,7,8,9],[4,5,6,10]] => [3,6,1]
[[1,2,3,7,8,9],[4,5,6],[10]] => [3,6,1]
[[1,3,6,7,8,9],[2,5],[4,10]] => [3,6,1]
[[1,3,6,7,8,9],[2,5],[4],[10]] => [3,6,1]
[[1,5,6,7,8,9],[2],[3],[4],[10]] => [9,1]
[[1,2,3,4,9],[5,6,7,8],[10]] => [4,5,1]
[[1,3,4,8,9],[2,6,7],[5,10]] => [4,5,1]
[[1,3,4,8,9],[2,6,7],[5],[10]] => [4,5,1]
[[1,2,7,8,9],[3,4],[5,6],[10]] => [2,2,5,1]
[[1,4,7,8,9],[2,6],[3],[5],[10]] => [4,5,1]
[[1,6,7,8,9],[2],[3],[4],[5],[10]] => [9,1]
[[1,2,5,9],[3,4,8],[6,7,10]] => [2,3,4,1]
[[1,2,5,9],[3,4,8],[6,7],[10]] => [2,3,4,1]
[[1,4,5,9],[2,7,8],[3],[6],[10]] => [5,4,1]
[[1,3,8,9],[2,5],[4,7],[6,10]] => [3,2,4,1]
[[1,3,8,9],[2,5],[4,7],[6],[10]] => [3,2,4,1]
[[1,5,8,9],[2,7],[3],[4],[6],[10]] => [5,4,1]
[[1,7,8,9],[2],[3],[4],[5],[6],[10]] => [9,1]
[[1,3,6],[2,5,9],[4,8],[7,10]] => [3,3,3,1]
[[1,3,6],[2,5,9],[4,8],[7],[10]] => [3,3,3,1]
[[1,5,6],[2,8,9],[3],[4],[7],[10]] => [6,3,1]
[[1,2,9],[3,4],[5,6],[7,8],[10]] => [2,2,2,3,1]
[[1,4,9],[2,6],[3,8],[5],[7],[10]] => [4,2,3,1]
[[1,6,9],[2,8],[3],[4],[5],[7],[10]] => [6,3,1]
[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [9,1]
[[1,2,3,6,7,8,9,10],[4,5]] => [3,7]
[[1,2,5,6,7,8,9,10],[3],[4]] => [2,8]
[[1,2,3,4,8,9,10],[5,6,7]] => [4,6]
[[1,2,4,7,8,9,10],[3,6],[5]] => [2,2,6]
[[1,2,6,7,8,9,10],[3],[4],[5]] => [2,8]
[[1,2,4,5,9,10],[3,7,8],[6]] => [2,3,5]
[[1,2,3,8,9,10],[4,5],[6,7]] => [3,2,5]
[[1,2,5,8,9,10],[3,7],[4],[6]] => [2,3,5]
[[1,2,7,8,9,10],[3],[4],[5],[6]] => [2,8]
[[1,2,4,5,6],[3,8,9,10],[7]] => [2,4,4]
[[1,2,3,6,10],[4,5,9],[7,8]] => [3,3,4]
[[1,2,5,6,10],[3,8,9],[4],[7]] => [2,4,4]
[[1,2,4,9,10],[3,6],[5,8],[7]] => [2,2,2,4]
[[1,2,6,9,10],[3,8],[4],[5],[7]] => [2,4,4]
[[1,2,8,9,10],[3],[4],[5],[6],[7]] => [2,8]
[[1,2,6,7],[3,5,9,10],[4],[8]] => [2,5,3]
[[1,2,4,7],[3,6,10],[5,9],[8]] => [2,2,3,3]
[[1,2,6,7],[3,9,10],[4],[5],[8]] => [2,5,3]
[[1,2,5,10],[3,7],[4,9],[6],[8]] => [2,3,2,3]
[[1,2,7,10],[3,9],[4],[5],[6],[8]] => [2,5,3]
[[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [2,8]
[[1,2,3],[4,5,8],[6,7],[9,10]] => [3,2,3,2]
[[1,2,5],[3,7,8],[4,10],[6],[9]] => [2,3,3,2]
[[1,2,8],[3,7,10],[4],[5],[6],[9]] => [2,6,2]
[[1,2,4],[3,6],[5,8],[7,10],[9]] => [2,2,2,2,2]
[[1,2,6],[3,8],[4,10],[5],[7],[9]] => [2,4,2,2]
[[1,2,8],[3,10],[4],[5],[6],[7],[9]] => [2,6,2]
[[1,2],[3,5],[4,7],[6,9],[8],[10]] => [2,3,2,2,1]
[[1,2],[3,7],[4,9],[5],[6],[8],[10]] => [2,5,2,1]
[[1,2],[3,9],[4],[5],[6],[7],[8],[10]] => [2,7,1]
[[1,2,4,5,8,9,10],[3,7],[6]] => [2,3,5]
[[1,2,4,5,6,7],[3,9,10],[8]] => [2,5,3]
[[1,2,3,4,9,10],[5,6],[7,8]] => [4,2,4]
[[1,2,5,6,9,10],[3,8],[4],[7]] => [2,4,4]
[[1,2,4,5,6,7,8,9],[3],[10]] => [2,7,1]
[[1,2,3,4,7,8],[5,6],[9,10]] => [4,4,2]
[[1,2,5,6,7,8],[3,10],[4],[9]] => [2,6,2]
[[1,2,4,5,10],[3,7],[6,9],[8]] => [2,3,2,3]
[[1,2,6,7,10],[3,9],[4],[5],[8]] => [2,5,3]
[[1,2,4,5,8,9],[3,7],[6],[10]] => [2,3,4,1]
[[1,2,6,7,8,9],[3],[4],[5],[10]] => [2,7,1]
[[1,2,5,6],[3,8],[4,10],[7],[9]] => [2,4,2,2]
[[1,2,7,8],[3,10],[4],[5],[6],[9]] => [2,6,2]
[[1,2,4,5],[3,7],[6,9],[8],[10]] => [2,3,2,2,1]
[[1,2,6,7],[3,9],[4],[5],[8],[10]] => [2,5,2,1]
[[1,2,8,9],[3],[4],[5],[6],[7],[10]] => [2,7,1]
[[1,2,3,4,5],[6,7,8,9],[10,11]] => [5,4,2]
[[1,2,3,4,5],[6,7,8,9],[10],[11]] => [5,4,2]
[[1,2,3,4,5],[6,7,8],[9,10,11]] => [5,3,3]
[[1,2,3,4,5],[6,7,8],[9,10],[11]] => [5,3,2,1]
[[1,2,3,4,5],[6,7,8],[9],[10],[11]] => [5,3,3]
[[1,2,3,4,5],[6,7],[8,9],[10,11]] => [5,2,2,2]
[[1,2,3,4,5],[6,7],[8,9],[10],[11]] => [5,2,2,2]
[[1,2,3,4],[5,6,7,8],[9,10,11]] => [4,4,3]
[[1,2,3,4],[5,6,7,8],[9,10],[11]] => [4,4,2,1]
[[1,2,3,4],[5,6,7,8],[9],[10],[11]] => [4,4,3]
[[1,2,3,4],[5,6,7],[8,9,10],[11]] => [4,3,3,1]
[[1,2,3,4],[5,6,7],[8,9],[10,11]] => [4,3,2,2]
[[1,2,3,4],[5,6,7],[8,9],[10],[11]] => [4,3,2,2]
[[1,2,3,4],[5,6],[7,8],[9,10],[11]] => [4,2,2,2,1]
[[1,2,3],[4,5,6],[7,8,9],[10,11]] => [3,3,3,2]
[[1,2,3],[4,5,6],[7,8,9],[10],[11]] => [3,3,3,2]
[[1,2,3],[4,5,6],[7,8],[9,10],[11]] => [3,3,2,2,1]
[[1,2,5,6,11],[3,4,9,10],[7,8]] => [2,4,5]
[[1,4,5,6,11],[2,8,9,10],[3],[7]] => [6,5]
[[1,2,3,10,11],[4,5,6],[7,8,9]] => [3,3,5]
[[1,3,6,10,11],[2,5,9],[4,8],[7]] => [3,3,5]
[[1,5,6,10,11],[2,8,9],[3],[4],[7]] => [6,5]
[[1,2,9,10,11],[3,4],[5,6],[7,8]] => [2,2,2,5]
[[1,4,9,10,11],[2,6],[3,8],[5],[7]] => [4,2,5]
[[1,2,3,7],[4,5,6,11],[8,9,10]] => [3,4,4]
[[1,3,6,7],[2,5,10,11],[4,9],[8]] => [3,4,4]
[[1,5,6,7],[2,9,10,11],[3],[4],[8]] => [7,4]
[[1,3,4,11],[2,6,7],[5,9,10],[8]] => [4,3,4]
[[1,2,7,11],[3,4,10],[5,6],[8,9]] => [2,2,3,4]
[[1,4,7,11],[2,6,10],[3,9],[5],[8]] => [4,3,4]
[[1,3,10,11],[2,5],[4,7],[6,9],[8]] => [3,2,2,4]
[[1,2,5],[3,4,8],[6,7,11],[9,10]] => [2,3,3,3]
[[1,4,5],[2,7,8],[3,10,11],[6],[9]] => [5,3,3]
[[1,3,8],[2,5,11],[4,7],[6,10],[9]] => [3,2,3,3]
[[1,3,5,7,9,11],[2,4,6,8,10,12]] => [3,2,2,2,2,1]
[[1,3,5,7,9,10],[2,4,6,8,11,12]] => [3,2,2,3,2]
[[1,3,5,7,8,11],[2,4,6,9,10,12]] => [3,2,3,3,1]
[[1,3,5,7,8,10],[2,4,6,9,11,12]] => [3,2,3,2,2]
[[1,3,5,7,8,9],[2,4,6,10,11,12]] => [3,2,4,3]
[[1,3,5,6,9,11],[2,4,7,8,10,12]] => [3,3,3,2,1]
[[1,3,5,6,9,10],[2,4,7,8,11,12]] => [3,3,4,2]
[[1,3,5,6,8,11],[2,4,7,9,10,12]] => [3,3,2,3,1]
[[1,3,5,6,8,10],[2,4,7,9,11,12]] => [3,3,2,2,2]
[[1,3,5,6,8,9],[2,4,7,10,11,12]] => [3,3,3,3]
[[1,3,5,6,7,11],[2,4,8,9,10,12]] => [3,4,4,1]
[[1,3,5,6,7,10],[2,4,8,9,11,12]] => [3,4,3,2]
[[1,3,5,6,7,9],[2,4,8,10,11,12]] => [3,4,2,3]
[[1,3,5,6,7,8],[2,4,9,10,11,12]] => [3,5,4]
[[1,3,4,7,9,11],[2,5,6,8,10,12]] => [4,3,2,2,1]
[[1,3,4,7,9,10],[2,5,6,8,11,12]] => [4,3,3,2]
[[1,3,4,7,8,11],[2,5,6,9,10,12]] => [4,4,3,1]
[[1,3,4,7,8,10],[2,5,6,9,11,12]] => [4,4,2,2]
[[1,3,4,7,8,9],[2,5,6,10,11,12]] => [4,5,3]
[[1,3,4,6,9,11],[2,5,7,8,10,12]] => [4,2,3,2,1]
[[1,3,4,6,9,10],[2,5,7,8,11,12]] => [4,2,4,2]
[[1,3,4,6,8,11],[2,5,7,9,10,12]] => [4,2,2,3,1]
[[1,3,4,6,8,10],[2,5,7,9,11,12]] => [4,2,2,2,2]
[[1,3,4,6,8,9],[2,5,7,10,11,12]] => [4,2,3,3]
[[1,3,4,6,7,11],[2,5,8,9,10,12]] => [4,3,4,1]
[[1,3,4,6,7,10],[2,5,8,9,11,12]] => [4,3,3,2]
[[1,3,4,6,7,9],[2,5,8,10,11,12]] => [4,3,2,3]
[[1,3,4,6,7,8],[2,5,9,10,11,12]] => [4,4,4]
[[1,3,4,5,9,11],[2,6,7,8,10,12]] => [5,4,2,1]
[[1,3,4,5,9,10],[2,6,7,8,11,12]] => [5,5,2]
[[1,3,4,5,8,11],[2,6,7,9,10,12]] => [5,3,3,1]
[[1,3,4,5,8,10],[2,6,7,9,11,12]] => [5,3,2,2]
[[1,3,4,5,8,9],[2,6,7,10,11,12]] => [5,4,3]
[[1,3,4,5,7,11],[2,6,8,9,10,12]] => [5,2,4,1]
[[1,3,4,5,7,10],[2,6,8,9,11,12]] => [5,2,3,2]
[[1,3,4,5,7,9],[2,6,8,10,11,12]] => [5,2,2,3]
[[1,3,4,5,7,8],[2,6,9,10,11,12]] => [5,3,4]
[[1,3,4,5,6,11],[2,7,8,9,10,12]] => [6,5,1]
[[1,3,4,5,6,10],[2,7,8,9,11,12]] => [6,4,2]
[[1,3,4,5,6,9],[2,7,8,10,11,12]] => [6,3,3]
[[1,3,4,5,6,8],[2,7,9,10,11,12]] => [6,2,4]
[[1,3,4,5,6,7],[2,8,9,10,11,12]] => [7,5]
[[1,2,5,7,9,11],[3,4,6,8,10,12]] => [2,3,2,2,2,1]
[[1,2,5,7,9,10],[3,4,6,8,11,12]] => [2,3,2,3,2]
[[1,2,5,7,8,11],[3,4,6,9,10,12]] => [2,3,3,3,1]
[[1,2,5,7,8,10],[3,4,6,9,11,12]] => [2,3,3,2,2]
[[1,2,5,7,8,9],[3,4,6,10,11,12]] => [2,3,4,3]
[[1,2,5,6,9,11],[3,4,7,8,10,12]] => [2,4,3,2,1]
[[1,2,5,6,9,10],[3,4,7,8,11,12]] => [2,4,4,2]
[[1,2,5,6,8,11],[3,4,7,9,10,12]] => [2,4,2,3,1]
[[1,2,5,6,8,10],[3,4,7,9,11,12]] => [2,4,2,2,2]
[[1,2,5,6,8,9],[3,4,7,10,11,12]] => [2,4,3,3]
[[1,2,5,6,7,11],[3,4,8,9,10,12]] => [2,5,4,1]
[[1,2,5,6,7,10],[3,4,8,9,11,12]] => [2,5,3,2]
[[1,2,5,6,7,9],[3,4,8,10,11,12]] => [2,5,2,3]
[[1,2,5,6,7,8],[3,4,9,10,11,12]] => [2,6,4]
[[1,2,4,7,9,11],[3,5,6,8,10,12]] => [2,2,3,2,2,1]
[[1,2,4,7,9,10],[3,5,6,8,11,12]] => [2,2,3,3,2]
[[1,2,4,7,8,11],[3,5,6,9,10,12]] => [2,2,4,3,1]
[[1,2,4,7,8,10],[3,5,6,9,11,12]] => [2,2,4,2,2]
[[1,2,4,7,8,9],[3,5,6,10,11,12]] => [2,2,5,3]
[[1,2,4,6,9,11],[3,5,7,8,10,12]] => [2,2,2,3,2,1]
[[1,2,4,6,9,10],[3,5,7,8,11,12]] => [2,2,2,4,2]
[[1,2,4,6,8,11],[3,5,7,9,10,12]] => [2,2,2,2,3,1]
[[1,2,4,6,8,10],[3,5,7,9,11,12]] => [2,2,2,2,2,2]
[[1,2,4,6,8,9],[3,5,7,10,11,12]] => [2,2,2,3,3]
[[1,2,4,6,7,11],[3,5,8,9,10,12]] => [2,2,3,4,1]
[[1,2,4,6,7,10],[3,5,8,9,11,12]] => [2,2,3,3,2]
[[1,2,4,6,7,9],[3,5,8,10,11,12]] => [2,2,3,2,3]
[[1,2,4,6,7,8],[3,5,9,10,11,12]] => [2,2,4,4]
[[1,2,4,5,9,11],[3,6,7,8,10,12]] => [2,3,4,2,1]
[[1,2,4,5,9,10],[3,6,7,8,11,12]] => [2,3,5,2]
[[1,2,4,5,8,11],[3,6,7,9,10,12]] => [2,3,3,3,1]
[[1,2,4,5,8,10],[3,6,7,9,11,12]] => [2,3,3,2,2]
[[1,2,4,5,8,9],[3,6,7,10,11,12]] => [2,3,4,3]
[[1,2,4,5,7,11],[3,6,8,9,10,12]] => [2,3,2,4,1]
[[1,2,4,5,7,10],[3,6,8,9,11,12]] => [2,3,2,3,2]
[[1,2,4,5,7,9],[3,6,8,10,11,12]] => [2,3,2,2,3]
[[1,2,4,5,7,8],[3,6,9,10,11,12]] => [2,3,3,4]
[[1,2,4,5,6,11],[3,7,8,9,10,12]] => [2,4,5,1]
[[1,2,4,5,6,10],[3,7,8,9,11,12]] => [2,4,4,2]
[[1,2,4,5,6,9],[3,7,8,10,11,12]] => [2,4,3,3]
[[1,2,4,5,6,8],[3,7,9,10,11,12]] => [2,4,2,4]
[[1,2,4,5,6,7],[3,8,9,10,11,12]] => [2,5,5]
[[1,2,3,7,9,11],[4,5,6,8,10,12]] => [3,4,2,2,1]
[[1,2,3,7,9,10],[4,5,6,8,11,12]] => [3,4,3,2]
[[1,2,3,7,8,11],[4,5,6,9,10,12]] => [3,5,3,1]
[[1,2,3,7,8,10],[4,5,6,9,11,12]] => [3,5,2,2]
[[1,2,3,7,8,9],[4,5,6,10,11,12]] => [3,6,3]
[[1,2,3,6,9,11],[4,5,7,8,10,12]] => [3,3,3,2,1]
[[1,2,3,6,9,10],[4,5,7,8,11,12]] => [3,3,4,2]
[[1,2,3,6,8,11],[4,5,7,9,10,12]] => [3,3,2,3,1]
[[1,2,3,6,8,10],[4,5,7,9,11,12]] => [3,3,2,2,2]
[[1,2,3,6,8,9],[4,5,7,10,11,12]] => [3,3,3,3]
[[1,2,3,6,7,11],[4,5,8,9,10,12]] => [3,4,4,1]
[[1,2,3,6,7,10],[4,5,8,9,11,12]] => [3,4,3,2]
[[1,2,3,6,7,9],[4,5,8,10,11,12]] => [3,4,2,3]
[[1,2,3,6,7,8],[4,5,9,10,11,12]] => [3,5,4]
[[1,2,3,5,9,11],[4,6,7,8,10,12]] => [3,2,4,2,1]
[[1,2,3,5,9,10],[4,6,7,8,11,12]] => [3,2,5,2]
[[1,2,3,5,8,11],[4,6,7,9,10,12]] => [3,2,3,3,1]
[[1,2,3,5,8,10],[4,6,7,9,11,12]] => [3,2,3,2,2]
[[1,2,3,5,8,9],[4,6,7,10,11,12]] => [3,2,4,3]
[[1,2,3,5,7,11],[4,6,8,9,10,12]] => [3,2,2,4,1]
[[1,2,3,5,7,10],[4,6,8,9,11,12]] => [3,2,2,3,2]
[[1,2,3,5,7,9],[4,6,8,10,11,12]] => [3,2,2,2,3]
[[1,2,3,5,7,8],[4,6,9,10,11,12]] => [3,2,3,4]
[[1,2,3,5,6,11],[4,7,8,9,10,12]] => [3,3,5,1]
[[1,2,3,5,6,10],[4,7,8,9,11,12]] => [3,3,4,2]
[[1,2,3,5,6,9],[4,7,8,10,11,12]] => [3,3,3,3]
[[1,2,3,5,6,8],[4,7,9,10,11,12]] => [3,3,2,4]
[[1,2,3,5,6,7],[4,8,9,10,11,12]] => [3,4,5]
[[1,2,3,4,9,11],[5,6,7,8,10,12]] => [4,5,2,1]
[[1,2,3,4,9,10],[5,6,7,8,11,12]] => [4,6,2]
[[1,2,3,4,8,11],[5,6,7,9,10,12]] => [4,4,3,1]
[[1,2,3,4,8,10],[5,6,7,9,11,12]] => [4,4,2,2]
[[1,2,3,4,8,9],[5,6,7,10,11,12]] => [4,5,3]
[[1,2,3,4,7,11],[5,6,8,9,10,12]] => [4,3,4,1]
[[1,2,3,4,7,10],[5,6,8,9,11,12]] => [4,3,3,2]
[[1,2,3,4,7,9],[5,6,8,10,11,12]] => [4,3,2,3]
[[1,2,3,4,7,8],[5,6,9,10,11,12]] => [4,4,4]
[[1,2,3,4,6,11],[5,7,8,9,10,12]] => [4,2,5,1]
[[1,2,3,4,6,10],[5,7,8,9,11,12]] => [4,2,4,2]
[[1,2,3,4,6,9],[5,7,8,10,11,12]] => [4,2,3,3]
[[1,2,3,4,6,8],[5,7,9,10,11,12]] => [4,2,2,4]
[[1,2,3,4,6,7],[5,8,9,10,11,12]] => [4,3,5]
[[1,2,3,4,5,11],[6,7,8,9,10,12]] => [5,6,1]
[[1,2,3,4,5,10],[6,7,8,9,11,12]] => [5,5,2]
[[1,2,3,4,5,9],[6,7,8,10,11,12]] => [5,4,3]
[[1,2,3,4,5,8],[6,7,9,10,11,12]] => [5,3,4]
[[1,2,3,4,5,7],[6,8,9,10,11,12]] => [5,2,5]
[[1,2,3,4,5,6],[7,8,9,10,11,12]] => [6,6]
[[1,2,3,4,5,6,7,8,9,10,11,12]] => [12]
[[1,2,3,4,5,6],[7,8,9,10],[11,12]] => [6,4,2]
[[1,2,3,4,5],[6,7,8,9],[10,11,12]] => [5,4,3]
[[1,2,3,4,5],[6,7,8,9],[10,11],[12]] => [5,4,2,1]
[[1,2,3,4,5],[6,7,8,9],[10],[11],[12]] => [5,4,3]
[[1,2,3,4,5],[6,7,8],[9,10,11],[12]] => [5,3,3,1]
[[1,2,3,4,5],[6,7,8],[9,10],[11,12]] => [5,3,2,2]
[[1,2,3,4,5],[6,7,8],[9,10],[11],[12]] => [5,3,2,2]
[[1,2,3,4,5],[6,7],[8,9],[10,11],[12]] => [5,2,2,2,1]
[[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => [4,4,3,1]
[[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => [4,4,2,2]
[[1,2,3,4],[5,6,7,8],[9,10],[11],[12]] => [4,4,2,2]
[[1,2,3,4],[5,6,7],[8,9,10],[11,12]] => [4,3,3,2]
[[1,2,3,4],[5,6,7],[8,9,10],[11],[12]] => [4,3,3,2]
[[1,2,3,4],[5,6,7],[8,9],[10,11],[12]] => [4,3,2,2,1]
[[1,2,3],[4,5,6],[7,8,9],[10,11],[12]] => [3,3,3,2,1]
[[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]] => [3,3,2,2,2]
[[1,2,5,6,11,12],[3,4,9,10],[7,8]] => [2,4,6]
[[1,2,3,7,12],[4,5,6,11],[8,9,10]] => [3,4,5]
[[1,3,6,7,12],[2,5,10,11],[4,9],[8]] => [3,4,5]
[[1,5,6,7,12],[2,9,10,11],[3],[4],[8]] => [7,5]
[[1,3,4,11,12],[2,6,7],[5,9,10],[8]] => [4,3,5]
[[1,2,7,11,12],[3,4,10],[5,6],[8,9]] => [2,2,3,5]
[[1,4,7,11,12],[2,6,10],[3,9],[5],[8]] => [4,3,5]
[[1,3,10,11,12],[2,5],[4,7],[6,9],[8]] => [3,2,2,5]
[[1,3,4,8],[2,6,7,12],[5,10,11],[9]] => [4,4,4]
[[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => [2,2,4,4]
[[1,4,7,8],[2,6,11,12],[3,10],[5],[9]] => [4,4,4]
[[1,2,5,12],[3,4,8],[6,7,11],[9,10]] => [2,3,3,4]
[[1,4,5,12],[2,7,8],[3,10,11],[6],[9]] => [5,3,4]
[[1,3,8,12],[2,5,11],[4,7],[6,10],[9]] => [3,2,3,4]
[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]] => [3,3,3,3]
[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]] => [4,2,3,3]
[[1,2,4,6,8,10,12],[3,5,7,9,11]] => [2,2,2,2,2,2]
[[1,2,4,6,8,10,11,12],[3,5,7,9]] => [2,2,2,2,4]
[[1,2,4,6,8,9,10,12],[3,5,7,11]] => [2,2,2,4,2]
[[1,2,4,6,8,9,11,12],[3,5,7,10]] => [2,2,2,3,3]
[[1,2,4,6,8,9,10,11,12],[3,5,7]] => [2,2,2,6]
[[1,2,4,6,7,8,10,12],[3,5,9,11]] => [2,2,4,2,2]
[[1,2,4,6,7,8,11,12],[3,5,9,10]] => [2,2,4,4]
[[1,2,4,6,7,9,10,12],[3,5,8,11]] => [2,2,3,3,2]
[[1,2,4,6,7,9,11,12],[3,5,8,10]] => [2,2,3,2,3]
[[1,2,4,6,7,9,10,11,12],[3,5,8]] => [2,2,3,5]
[[1,2,4,6,7,8,9,10,12],[3,5,11]] => [2,2,6,2]
[[1,2,4,6,7,8,9,11,12],[3,5,10]] => [2,2,5,3]
[[1,2,4,6,7,8,10,11,12],[3,5,9]] => [2,2,4,4]
[[1,2,4,6,7,8,9,10,11,12],[3,5]] => [2,2,8]
[[1,2,4,5,6,8,10,12],[3,7,9,11]] => [2,4,2,2,2]
[[1,2,4,5,6,8,11,12],[3,7,9,10]] => [2,4,2,4]
[[1,2,4,5,6,9,10,12],[3,7,8,11]] => [2,4,4,2]
[[1,2,4,5,6,9,11,12],[3,7,8,10]] => [2,4,3,3]
[[1,2,4,5,6,9,10,11,12],[3,7,8]] => [2,4,6]
[[1,2,4,5,7,8,10,12],[3,6,9,11]] => [2,3,3,2,2]
[[1,2,4,5,7,8,11,12],[3,6,9,10]] => [2,3,3,4]
[[1,2,4,5,7,9,10,12],[3,6,8,11]] => [2,3,2,3,2]
[[1,2,4,5,7,9,11,12],[3,6,8,10]] => [2,3,2,2,3]
[[1,2,4,5,7,9,10,11,12],[3,6,8]] => [2,3,2,5]
[[1,2,4,5,7,8,9,10,12],[3,6,11]] => [2,3,5,2]
[[1,2,4,5,7,8,9,11,12],[3,6,10]] => [2,3,4,3]
[[1,2,4,5,7,8,10,11,12],[3,6,9]] => [2,3,3,4]
[[1,2,4,5,7,8,9,10,11,12],[3,6]] => [2,3,7]
[[1,2,4,5,6,7,8,10,12],[3,9,11]] => [2,6,2,2]
[[1,2,4,5,6,7,8,11,12],[3,9,10]] => [2,6,4]
[[1,2,4,5,6,7,9,10,12],[3,8,11]] => [2,5,3,2]
[[1,2,4,5,6,7,9,11,12],[3,8,10]] => [2,5,2,3]
[[1,2,4,5,6,7,10,11,12],[3,8,9]] => [2,5,5]
[[1,2,4,5,6,8,9,10,12],[3,7,11]] => [2,4,4,2]
[[1,2,4,5,6,8,9,11,12],[3,7,10]] => [2,4,3,3]
[[1,2,4,5,6,8,10,11,12],[3,7,9]] => [2,4,2,4]
[[1,2,4,5,6,8,9,10,11,12],[3,7]] => [2,4,6]
[[1,2,4,5,6,7,8,9,10,12],[3,11]] => [2,8,2]
[[1,2,4,5,6,7,8,9,11,12],[3,10]] => [2,7,3]
[[1,2,4,5,6,7,8,10,11,12],[3,9]] => [2,6,4]
[[1,2,4,5,6,7,9,10,11,12],[3,8]] => [2,5,5]
[[1,2,4,5,6,7,8,9,10,11,12],[3]] => [2,10]
[[1,2,3,4,6,8,10,12],[5,7,9,11]] => [4,2,2,2,2]
[[1,2,3,4,6,8,11,12],[5,7,9,10]] => [4,2,2,4]
[[1,2,3,4,6,9,10,12],[5,7,8,11]] => [4,2,4,2]
[[1,2,3,4,6,9,11,12],[5,7,8,10]] => [4,2,3,3]
[[1,2,3,4,6,9,10,11,12],[5,7,8]] => [4,2,6]
[[1,2,3,4,7,8,10,12],[5,6,9,11]] => [4,4,2,2]
[[1,2,3,4,7,8,11,12],[5,6,9,10]] => [4,4,4]
[[1,2,3,4,7,9,10,12],[5,6,8,11]] => [4,3,3,2]
[[1,2,3,4,7,9,11,12],[5,6,8,10]] => [4,3,2,3]
[[1,2,3,4,7,9,10,11,12],[5,6,8]] => [4,3,5]
[[1,2,3,4,7,8,9,10,12],[5,6,11]] => [4,6,2]
[[1,2,3,4,7,8,9,11,12],[5,6,10]] => [4,5,3]
[[1,2,3,4,7,8,10,11,12],[5,6,9]] => [4,4,4]
[[1,2,3,4,7,8,9,10,11,12],[5,6]] => [4,8]
[[1,2,3,5,6,8,10,12],[4,7,9,11]] => [3,3,2,2,2]
[[1,2,3,5,6,8,11,12],[4,7,9,10]] => [3,3,2,4]
[[1,2,3,5,6,9,10,12],[4,7,8,11]] => [3,3,4,2]
[[1,2,3,5,6,9,11,12],[4,7,8,10]] => [3,3,3,3]
[[1,2,3,5,6,9,10,11,12],[4,7,8]] => [3,3,6]
[[1,2,3,5,7,8,10,12],[4,6,9,11]] => [3,2,3,2,2]
[[1,2,3,5,7,8,11,12],[4,6,9,10]] => [3,2,3,4]
[[1,2,3,5,7,9,10,12],[4,6,8,11]] => [3,2,2,3,2]
[[1,2,3,5,7,9,11,12],[4,6,8,10]] => [3,2,2,2,3]
[[1,2,3,5,7,9,10,11,12],[4,6,8]] => [3,2,2,5]
[[1,2,3,5,7,8,9,10,12],[4,6,11]] => [3,2,5,2]
[[1,2,3,5,7,8,9,11,12],[4,6,10]] => [3,2,4,3]
[[1,2,3,5,7,8,10,11,12],[4,6,9]] => [3,2,3,4]
[[1,2,3,5,7,8,9,10,11,12],[4,6]] => [3,2,7]
[[1,2,3,5,6,7,8,10,12],[4,9,11]] => [3,5,2,2]
[[1,2,3,5,6,7,8,11,12],[4,9,10]] => [3,5,4]
[[1,2,3,5,6,7,9,10,12],[4,8,11]] => [3,4,3,2]
[[1,2,3,5,6,7,9,11,12],[4,8,10]] => [3,4,2,3]
[[1,2,3,5,6,7,10,11,12],[4,8,9]] => [3,4,5]
[[1,2,3,5,6,8,9,10,12],[4,7,11]] => [3,3,4,2]
[[1,2,3,5,6,8,9,11,12],[4,7,10]] => [3,3,3,3]
[[1,2,3,5,6,8,10,11,12],[4,7,9]] => [3,3,2,4]
[[1,2,3,5,6,8,9,10,11,12],[4,7]] => [3,3,6]
[[1,2,3,5,6,7,8,9,10,12],[4,11]] => [3,7,2]
[[1,2,3,5,6,7,8,9,11,12],[4,10]] => [3,6,3]
[[1,2,3,5,6,7,8,10,11,12],[4,9]] => [3,5,4]
[[1,2,3,5,6,7,9,10,11,12],[4,8]] => [3,4,5]
[[1,2,3,5,6,7,8,9,10,11,12],[4]] => [3,9]
[[1,2,3,4,5,6,8,10,12],[7,9,11]] => [6,2,2,2]
[[1,2,3,4,5,6,8,11,12],[7,9,10]] => [6,2,4]
[[1,2,3,4,5,6,9,10,12],[7,8,11]] => [6,4,2]
[[1,2,3,4,5,6,9,11,12],[7,8,10]] => [6,3,3]
[[1,2,3,4,5,6,10,11,12],[7,8,9]] => [6,6]
[[1,2,3,4,5,7,8,10,12],[6,9,11]] => [5,3,2,2]
[[1,2,3,4,5,7,8,11,12],[6,9,10]] => [5,3,4]
[[1,2,3,4,5,7,9,10,12],[6,8,11]] => [5,2,3,2]
[[1,2,3,4,5,7,9,11,12],[6,8,10]] => [5,2,2,3]
[[1,2,3,4,5,7,10,11,12],[6,8,9]] => [5,2,5]
[[1,2,3,4,5,8,9,10,12],[6,7,11]] => [5,5,2]
[[1,2,3,4,5,8,9,11,12],[6,7,10]] => [5,4,3]
[[1,2,3,4,5,8,10,11,12],[6,7,9]] => [5,3,4]
[[1,2,3,4,5,8,9,10,11,12],[6,7]] => [5,7]
[[1,2,3,4,6,7,8,10,12],[5,9,11]] => [4,4,2,2]
[[1,2,3,4,6,7,8,11,12],[5,9,10]] => [4,4,4]
[[1,2,3,4,6,7,9,10,12],[5,8,11]] => [4,3,3,2]
[[1,2,3,4,6,7,9,11,12],[5,8,10]] => [4,3,2,3]
[[1,2,3,4,6,7,10,11,12],[5,8,9]] => [4,3,5]
[[1,2,3,4,6,8,9,10,12],[5,7,11]] => [4,2,4,2]
[[1,2,3,4,6,8,9,11,12],[5,7,10]] => [4,2,3,3]
[[1,2,3,4,6,8,10,11,12],[5,7,9]] => [4,2,2,4]
[[1,2,3,4,6,8,9,10,11,12],[5,7]] => [4,2,6]
[[1,2,3,4,6,7,8,9,10,12],[5,11]] => [4,6,2]
[[1,2,3,4,6,7,8,9,11,12],[5,10]] => [4,5,3]
[[1,2,3,4,6,7,8,10,11,12],[5,9]] => [4,4,4]
[[1,2,3,4,6,7,9,10,11,12],[5,8]] => [4,3,5]
[[1,2,3,4,6,7,8,9,10,11,12],[5]] => [4,8]
[[1,2,3,4,5,6,7,8,10,12],[9,11]] => [8,2,2]
[[1,2,3,4,5,6,7,8,11,12],[9,10]] => [8,4]
[[1,2,3,4,5,6,7,9,10,12],[8,11]] => [7,3,2]
[[1,2,3,4,5,6,7,9,11,12],[8,10]] => [7,2,3]
[[1,2,3,4,5,6,7,10,11,12],[8,9]] => [7,5]
[[1,2,3,4,5,6,8,9,10,12],[7,11]] => [6,4,2]
[[1,2,3,4,5,6,8,9,11,12],[7,10]] => [6,3,3]
[[1,2,3,4,5,6,8,10,11,12],[7,9]] => [6,2,4]
[[1,2,3,4,5,6,9,10,11,12],[7,8]] => [6,6]
[[1,2,3,4,5,7,8,9,10,12],[6,11]] => [5,5,2]
[[1,2,3,4,5,7,8,9,11,12],[6,10]] => [5,4,3]
[[1,2,3,4,5,7,8,10,11,12],[6,9]] => [5,3,4]
[[1,2,3,4,5,7,9,10,11,12],[6,8]] => [5,2,5]
[[1,2,3,4,5,7,8,9,10,11,12],[6]] => [5,7]
[[1,2,3,4,5,6,7,8,9,10,12],[11]] => [10,2]
[[1,2,3,4,5,6,7,8,9,11,12],[10]] => [9,3]
[[1,2,3,4,5,6,7,8,10,11,12],[9]] => [8,4]
[[1,2,3,4,5,6,7,9,10,11,12],[8]] => [7,5]
[[1,2,3,4,5,6,8,9,10,11,12],[7]] => [6,6]
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]] => [5,4,3,1]
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]] => [5,4,2,2]
[[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]] => [5,4,2,2]
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]] => [5,3,3,2]
[[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]] => [5,3,3,2]
[[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]] => [5,3,2,2,1]
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => [4,4,3,2]
[[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]] => [4,4,3,2]
[[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]] => [4,4,2,2,1]
[[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]] => [4,3,3,2,1]
[[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]] => [4,4,5]
[[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]] => [2,2,4,5]
[[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]] => [4,4,5]
[[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]] => [2,3,3,5]
[[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]] => [5,3,5]
[[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]] => [3,2,3,5]
[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]] => [2,3,4,4]
[[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]] => [5,4,4]
[[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]] => [3,2,4,4]
[[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]] => [3,3,3,4]
[[1,3,5,7,9,11,13],[2,4,6,8,10,12,14]] => [3,2,2,2,2,2,1]
[[1,3,5,7,9,11,12],[2,4,6,8,10,13,14]] => [3,2,2,2,3,2]
[[1,3,5,7,9,10,12],[2,4,6,8,11,13,14]] => [3,2,2,3,2,2]
[[1,3,5,7,9,10,11],[2,4,6,8,12,13,14]] => [3,2,2,4,3]
[[1,3,5,7,8,10,12],[2,4,6,9,11,13,14]] => [3,2,3,2,2,2]
[[1,3,5,7,8,9,12],[2,4,6,10,11,13,14]] => [3,2,4,3,2]
[[1,3,5,7,8,9,11],[2,4,6,10,12,13,14]] => [3,2,4,2,3]
[[1,3,5,7,8,9,10],[2,4,6,11,12,13,14]] => [3,2,5,4]
[[1,3,5,6,8,10,12],[2,4,7,9,11,13,14]] => [3,3,2,2,2,2]
[[1,3,5,6,7,10,12],[2,4,8,9,11,13,14]] => [3,4,3,2,2]
[[1,3,5,6,7,9,12],[2,4,8,10,11,13,14]] => [3,4,2,3,2]
[[1,3,5,6,7,9,11],[2,4,8,10,12,13,14]] => [3,4,2,2,3]
[[1,3,5,6,7,9,10],[2,4,8,11,12,13,14]] => [3,4,3,4]
[[1,3,5,6,7,8,12],[2,4,9,10,11,13,14]] => [3,5,4,2]
[[1,3,5,6,7,8,10],[2,4,9,11,12,13,14]] => [3,5,2,4]
[[1,3,4,6,8,10,12],[2,5,7,9,11,13,14]] => [4,2,2,2,2,2]
[[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]] => [4,5,5]
[[1,3,4,5,8,10,12],[2,6,7,9,11,13,14]] => [5,3,2,2,2]
[[1,3,4,5,7,10,12],[2,6,8,9,11,13,14]] => [5,2,3,2,2]
[[1,3,4,5,7,9,12],[2,6,8,10,11,13,14]] => [5,2,2,3,2]
[[1,3,4,5,7,8,12],[2,6,9,10,11,13,14]] => [5,3,4,2]
[[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]] => [5,3,2,4]
[[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]] => [5,4,5]
[[1,3,4,5,6,10,12],[2,7,8,9,11,13,14]] => [6,4,2,2]
[[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]] => [6,4,4]
[[1,3,4,5,6,8,12],[2,7,9,10,11,13,14]] => [6,2,4,2]
[[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]] => [6,2,3,3]
[[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]] => [6,2,2,4]
[[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]] => [6,3,5]
[[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]] => [7,5,2]
[[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]] => [7,4,3]
[[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]] => [7,3,4]
[[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]] => [7,2,5]
[[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]] => [8,6]
[[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]] => [2,7,5]
[[1,2,4,6,8,10,12],[3,5,7,9,11,13,14]] => [2,2,2,2,2,2,2]
[[1,2,4,6,8,10,11],[3,5,7,9,12,13,14]] => [2,2,2,2,3,3]
[[1,2,4,6,8,9,12],[3,5,7,10,11,13,14]] => [2,2,2,3,3,2]
[[1,2,4,6,8,9,11],[3,5,7,10,12,13,14]] => [2,2,2,3,2,3]
[[1,2,4,6,8,9,10],[3,5,7,11,12,13,14]] => [2,2,2,4,4]
[[1,2,4,6,7,10,12],[3,5,8,9,11,13,14]] => [2,2,3,3,2,2]
[[1,2,4,6,7,10,11],[3,5,8,9,12,13,14]] => [2,2,3,4,3]
[[1,2,4,6,7,9,12],[3,5,8,10,11,13,14]] => [2,2,3,2,3,2]
[[1,2,4,6,7,9,11],[3,5,8,10,12,13,14]] => [2,2,3,2,2,3]
[[1,2,4,6,7,9,10],[3,5,8,11,12,13,14]] => [2,2,3,3,4]
[[1,2,4,6,7,8,12],[3,5,9,10,11,13,14]] => [2,2,4,4,2]
[[1,2,4,6,7,8,11],[3,5,9,10,12,13,14]] => [2,2,4,3,3]
[[1,2,4,6,7,8,10],[3,5,9,11,12,13,14]] => [2,2,4,2,4]
[[1,2,4,6,7,8,9],[3,5,10,11,12,13,14]] => [2,2,5,5]
[[1,2,4,5,8,10,12],[3,6,7,9,11,13,14]] => [2,3,3,2,2,2]
[[1,2,4,5,8,10,11],[3,6,7,9,12,13,14]] => [2,3,3,3,3]
[[1,2,4,5,8,9,12],[3,6,7,10,11,13,14]] => [2,3,4,3,2]
[[1,2,4,5,8,9,11],[3,6,7,10,12,13,14]] => [2,3,4,2,3]
[[1,2,4,5,8,9,10],[3,6,7,11,12,13,14]] => [2,3,5,4]
[[1,2,4,5,7,10,12],[3,6,8,9,11,13,14]] => [2,3,2,3,2,2]
[[1,2,4,5,7,10,11],[3,6,8,9,12,13,14]] => [2,3,2,4,3]
[[1,2,4,5,7,9,12],[3,6,8,10,11,13,14]] => [2,3,2,2,3,2]
[[1,2,4,5,7,9,11],[3,6,8,10,12,13,14]] => [2,3,2,2,2,3]
[[1,2,4,5,7,9,10],[3,6,8,11,12,13,14]] => [2,3,2,3,4]
[[1,2,4,5,7,8,12],[3,6,9,10,11,13,14]] => [2,3,3,4,2]
[[1,2,4,5,7,8,11],[3,6,9,10,12,13,14]] => [2,3,3,3,3]
[[1,2,4,5,7,8,10],[3,6,9,11,12,13,14]] => [2,3,3,2,4]
[[1,2,4,5,7,8,9],[3,6,10,11,12,13,14]] => [2,3,4,5]
[[1,2,4,5,6,10,12],[3,7,8,9,11,13,14]] => [2,4,4,2,2]
[[1,2,4,5,6,10,11],[3,7,8,9,12,13,14]] => [2,4,5,3]
[[1,2,4,5,6,9,12],[3,7,8,10,11,13,14]] => [2,4,3,3,2]
[[1,2,4,5,6,9,11],[3,7,8,10,12,13,14]] => [2,4,3,2,3]
[[1,2,4,5,6,9,10],[3,7,8,11,12,13,14]] => [2,4,4,4]
[[1,2,4,5,6,8,12],[3,7,9,10,11,13,14]] => [2,4,2,4,2]
[[1,2,4,5,6,8,11],[3,7,9,10,12,13,14]] => [2,4,2,3,3]
[[1,2,4,5,6,8,10],[3,7,9,11,12,13,14]] => [2,4,2,2,4]
[[1,2,4,5,6,8,9],[3,7,10,11,12,13,14]] => [2,4,3,5]
[[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]] => [2,5,6,1]
[[1,2,4,5,6,7,12],[3,8,9,10,11,13,14]] => [2,5,5,2]
[[1,2,4,5,6,7,11],[3,8,9,10,12,13,14]] => [2,5,4,3]
[[1,2,4,5,6,7,10],[3,8,9,11,12,13,14]] => [2,5,3,4]
[[1,2,4,5,6,7,9],[3,8,10,11,12,13,14]] => [2,5,2,5]
[[1,2,4,5,6,7,8],[3,9,10,11,12,13,14]] => [2,6,6]
[[1,2,3,6,8,10,12],[4,5,7,9,11,13,14]] => [3,3,2,2,2,2]
[[1,2,3,6,8,10,11],[4,5,7,9,12,13,14]] => [3,3,2,3,3]
[[1,2,3,6,8,9,12],[4,5,7,10,11,13,14]] => [3,3,3,3,2]
[[1,2,3,6,8,9,11],[4,5,7,10,12,13,14]] => [3,3,3,2,3]
[[1,2,3,6,8,9,10],[4,5,7,11,12,13,14]] => [3,3,4,4]
[[1,2,3,6,7,10,12],[4,5,8,9,11,13,14]] => [3,4,3,2,2]
[[1,2,3,6,7,10,11],[4,5,8,9,12,13,14]] => [3,4,4,3]
[[1,2,3,6,7,9,12],[4,5,8,10,11,13,14]] => [3,4,2,3,2]
[[1,2,3,6,7,9,11],[4,5,8,10,12,13,14]] => [3,4,2,2,3]
[[1,2,3,6,7,9,10],[4,5,8,11,12,13,14]] => [3,4,3,4]
[[1,2,3,6,7,8,12],[4,5,9,10,11,13,14]] => [3,5,4,2]
[[1,2,3,6,7,8,11],[4,5,9,10,12,13,14]] => [3,5,3,3]
[[1,2,3,6,7,8,10],[4,5,9,11,12,13,14]] => [3,5,2,4]
[[1,2,3,6,7,8,9],[4,5,10,11,12,13,14]] => [3,6,5]
[[1,2,3,5,8,10,12],[4,6,7,9,11,13,14]] => [3,2,3,2,2,2]
[[1,2,3,5,8,10,11],[4,6,7,9,12,13,14]] => [3,2,3,3,3]
[[1,2,3,5,8,9,12],[4,6,7,10,11,13,14]] => [3,2,4,3,2]
[[1,2,3,5,8,9,11],[4,6,7,10,12,13,14]] => [3,2,4,2,3]
[[1,2,3,5,8,9,10],[4,6,7,11,12,13,14]] => [3,2,5,4]
[[1,2,3,5,7,10,12],[4,6,8,9,11,13,14]] => [3,2,2,3,2,2]
[[1,2,3,5,7,10,11],[4,6,8,9,12,13,14]] => [3,2,2,4,3]
[[1,2,3,5,7,9,12],[4,6,8,10,11,13,14]] => [3,2,2,2,3,2]
[[1,2,3,5,7,9,11],[4,6,8,10,12,13,14]] => [3,2,2,2,2,3]
[[1,2,3,5,7,9,10],[4,6,8,11,12,13,14]] => [3,2,2,3,4]
[[1,2,3,5,7,8,12],[4,6,9,10,11,13,14]] => [3,2,3,4,2]
[[1,2,3,5,7,8,11],[4,6,9,10,12,13,14]] => [3,2,3,3,3]
[[1,2,3,5,7,8,10],[4,6,9,11,12,13,14]] => [3,2,3,2,4]
[[1,2,3,5,7,8,9],[4,6,10,11,12,13,14]] => [3,2,4,5]
[[1,2,3,5,6,10,12],[4,7,8,9,11,13,14]] => [3,3,4,2,2]
[[1,2,3,5,6,10,11],[4,7,8,9,12,13,14]] => [3,3,5,3]
[[1,2,3,5,6,9,12],[4,7,8,10,11,13,14]] => [3,3,3,3,2]
[[1,2,3,5,6,9,11],[4,7,8,10,12,13,14]] => [3,3,3,2,3]
[[1,2,3,5,6,9,10],[4,7,8,11,12,13,14]] => [3,3,4,4]
[[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]] => [3,3,2,5,1]
[[1,2,3,5,6,8,12],[4,7,9,10,11,13,14]] => [3,3,2,4,2]
[[1,2,3,5,6,8,11],[4,7,9,10,12,13,14]] => [3,3,2,3,3]
[[1,2,3,5,6,8,10],[4,7,9,11,12,13,14]] => [3,3,2,2,4]
[[1,2,3,5,6,8,9],[4,7,10,11,12,13,14]] => [3,3,3,5]
[[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]] => [3,4,6,1]
[[1,2,3,5,6,7,12],[4,8,9,10,11,13,14]] => [3,4,5,2]
[[1,2,3,5,6,7,11],[4,8,9,10,12,13,14]] => [3,4,4,3]
[[1,2,3,5,6,7,10],[4,8,9,11,12,13,14]] => [3,4,3,4]
[[1,2,3,5,6,7,9],[4,8,10,11,12,13,14]] => [3,4,2,5]
[[1,2,3,5,6,7,8],[4,9,10,11,12,13,14]] => [3,5,6]
[[1,2,3,4,8,10,12],[5,6,7,9,11,13,14]] => [4,4,2,2,2]
[[1,2,3,4,8,10,11],[5,6,7,9,12,13,14]] => [4,4,3,3]
[[1,2,3,4,8,9,12],[5,6,7,10,11,13,14]] => [4,5,3,2]
[[1,2,3,4,8,9,11],[5,6,7,10,12,13,14]] => [4,5,2,3]
[[1,2,3,4,8,9,10],[5,6,7,11,12,13,14]] => [4,6,4]
[[1,2,3,4,7,10,12],[5,6,8,9,11,13,14]] => [4,3,3,2,2]
[[1,2,3,4,7,10,11],[5,6,8,9,12,13,14]] => [4,3,4,3]
[[1,2,3,4,7,9,12],[5,6,8,10,11,13,14]] => [4,3,2,3,2]
[[1,2,3,4,7,9,11],[5,6,8,10,12,13,14]] => [4,3,2,2,3]
[[1,2,3,4,7,9,10],[5,6,8,11,12,13,14]] => [4,3,3,4]
[[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]] => [4,4,5,1]
[[1,2,3,4,7,8,12],[5,6,9,10,11,13,14]] => [4,4,4,2]
[[1,2,3,4,7,8,11],[5,6,9,10,12,13,14]] => [4,4,3,3]
[[1,2,3,4,7,8,10],[5,6,9,11,12,13,14]] => [4,4,2,4]
[[1,2,3,4,7,8,9],[5,6,10,11,12,13,14]] => [4,5,5]
[[1,2,3,4,6,10,12],[5,7,8,9,11,13,14]] => [4,2,4,2,2]
[[1,2,3,4,6,10,11],[5,7,8,9,12,13,14]] => [4,2,5,3]
[[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]] => [4,2,3,4,1]
[[1,2,3,4,6,9,12],[5,7,8,10,11,13,14]] => [4,2,3,3,2]
[[1,2,3,4,6,9,11],[5,7,8,10,12,13,14]] => [4,2,3,2,3]
[[1,2,3,4,6,9,10],[5,7,8,11,12,13,14]] => [4,2,4,4]
[[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]] => [4,2,2,5,1]
[[1,2,3,4,6,8,12],[5,7,9,10,11,13,14]] => [4,2,2,4,2]
[[1,2,3,4,6,8,11],[5,7,9,10,12,13,14]] => [4,2,2,3,3]
[[1,2,3,4,6,8,10],[5,7,9,11,12,13,14]] => [4,2,2,2,4]
[[1,2,3,4,6,8,9],[5,7,10,11,12,13,14]] => [4,2,3,5]
[[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]] => [4,3,6,1]
[[1,2,3,4,6,7,12],[5,8,9,10,11,13,14]] => [4,3,5,2]
[[1,2,3,4,6,7,11],[5,8,9,10,12,13,14]] => [4,3,4,3]
[[1,2,3,4,6,7,10],[5,8,9,11,12,13,14]] => [4,3,3,4]
[[1,2,3,4,6,7,9],[5,8,10,11,12,13,14]] => [4,3,2,5]
[[1,2,3,4,6,7,8],[5,9,10,11,12,13,14]] => [4,4,6]
[[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]] => [5,7,2]
[[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]] => [5,5,3,1]
[[1,2,3,4,5,10,12],[6,7,8,9,11,13,14]] => [5,5,2,2]
[[1,2,3,4,5,10,11],[6,7,8,9,12,13,14]] => [5,6,3]
[[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]] => [5,4,4,1]
[[1,2,3,4,5,9,12],[6,7,8,10,11,13,14]] => [5,4,3,2]
[[1,2,3,4,5,9,11],[6,7,8,10,12,13,14]] => [5,4,2,3]
[[1,2,3,4,5,9,10],[6,7,8,11,12,13,14]] => [5,5,4]
[[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]] => [5,3,5,1]
[[1,2,3,4,5,8,12],[6,7,9,10,11,13,14]] => [5,3,4,2]
[[1,2,3,4,5,8,11],[6,7,9,10,12,13,14]] => [5,3,3,3]
[[1,2,3,4,5,8,10],[6,7,9,11,12,13,14]] => [5,3,2,4]
[[1,2,3,4,5,8,9],[6,7,10,11,12,13,14]] => [5,4,5]
[[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]] => [5,2,6,1]
[[1,2,3,4,5,7,12],[6,8,9,10,11,13,14]] => [5,2,5,2]
[[1,2,3,4,5,7,11],[6,8,9,10,12,13,14]] => [5,2,4,3]
[[1,2,3,4,5,7,10],[6,8,9,11,12,13,14]] => [5,2,3,4]
[[1,2,3,4,5,7,9],[6,8,10,11,12,13,14]] => [5,2,2,5]
[[1,2,3,4,5,7,8],[6,9,10,11,12,13,14]] => [5,3,6]
[[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]] => [6,7,1]
[[1,2,3,4,5,6,12],[7,8,9,10,11,13,14]] => [6,6,2]
[[1,2,3,4,5,6,11],[7,8,9,10,12,13,14]] => [6,5,3]
[[1,2,3,4,5,6,10],[7,8,9,11,12,13,14]] => [6,4,4]
[[1,2,3,4,5,6,9],[7,8,10,11,12,13,14]] => [6,3,5]
[[1,2,3,4,5,6,8],[7,9,10,11,12,13,14]] => [6,2,6]
[[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]] => [7,7]
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]] => [5,4,3,2]
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]] => [5,4,3,2]
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]] => [5,4,2,2,1]
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]] => [5,3,3,2,1]
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]] => [4,4,3,2,1]
[[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]] => [2,3,4,5]
[[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]] => [5,4,5]
[[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]] => [3,2,4,5]
[[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]] => [3,3,3,5]
[[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]] => [3,3,4,4]
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]] => [5,4,3,2,1]
[[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]] => [3,3,4,5]
[[1,3,5,7,9,11,13,15],[2,4,6,8,10,12,14,16]] => [3,2,2,2,2,2,2,1]
[[1,3,5,7,9,11,13,14],[2,4,6,8,10,12,15,16]] => [3,2,2,2,2,3,2]
[[1,3,5,7,9,11,12,14],[2,4,6,8,10,13,15,16]] => [3,2,2,2,3,2,2]
[[1,3,5,7,9,11,12,13],[2,4,6,8,10,14,15,16]] => [3,2,2,2,4,3]
[[1,3,5,7,9,10,12,14],[2,4,6,8,11,13,15,16]] => [3,2,2,3,2,2,2]
[[1,3,5,7,9,10,11,14],[2,4,6,8,12,13,15,16]] => [3,2,2,4,3,2]
[[1,3,5,7,9,10,11,13],[2,4,6,8,12,14,15,16]] => [3,2,2,4,2,3]
[[1,3,5,7,9,10,11,12],[2,4,6,8,13,14,15,16]] => [3,2,2,5,4]
[[1,3,5,7,8,10,12,14],[2,4,6,9,11,13,15,16]] => [3,2,3,2,2,2,2]
[[1,3,5,7,8,9,12,14],[2,4,6,10,11,13,15,16]] => [3,2,4,3,2,2]
[[1,3,5,7,8,9,11,14],[2,4,6,10,12,13,15,16]] => [3,2,4,2,3,2]
[[1,3,5,7,8,9,10,14],[2,4,6,11,12,13,15,16]] => [3,2,5,4,2]
[[1,3,5,6,8,10,12,14],[2,4,7,9,11,13,15,16]] => [3,3,2,2,2,2,2]
[[1,3,5,6,7,10,12,14],[2,4,8,9,11,13,15,16]] => [3,4,3,2,2,2]
[[1,3,5,6,7,9,12,14],[2,4,8,10,11,13,15,16]] => [3,4,2,3,2,2]
[[1,3,5,6,7,8,12,14],[2,4,9,10,11,13,15,16]] => [3,5,4,2,2]
[[1,3,4,6,8,10,12,14],[2,5,7,9,11,13,15,16]] => [4,2,2,2,2,2,2]
[[1,3,4,5,8,10,12,14],[2,6,7,9,11,13,15,16]] => [5,3,2,2,2,2]
[[1,3,4,5,7,10,12,14],[2,6,8,9,11,13,15,16]] => [5,2,3,2,2,2]
[[1,3,4,5,6,10,12,14],[2,7,8,9,11,13,15,16]] => [6,4,2,2,2]
[[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]] => [6,4,6]
[[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]] => [7,2,2,5]
[[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]] => [7,3,6]
[[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]] => [8,4,4]
[[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]] => [8,3,5]
[[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]] => [8,2,6]
[[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]] => [9,7]
[[1,2,4,6,8,10,12,14],[3,5,7,9,11,13,15,16]] => [2,2,2,2,2,2,2,2]
[[1,2,3,6,8,10,12,14],[4,5,7,9,11,13,15,16]] => [3,3,2,2,2,2,2]
[[1,2,3,5,8,10,12,14],[4,6,7,9,11,13,15,16]] => [3,2,3,2,2,2,2]
[[1,2,3,4,8,10,12,14],[5,6,7,9,11,13,15,16]] => [4,4,2,2,2,2]
[[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]] => [4,4,7,1]
[[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]] => [5,2,2,6,1]
[[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]] => [5,3,7,1]
[[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]] => [6,4,5,1]
[[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]] => [6,3,6,1]
[[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]] => [6,2,7,1]
[[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]] => [7,8,1]
[[1,3,5,7,9,11,13,15,17],[2,4,6,8,10,12,14,16,18]] => [3,2,2,2,2,2,2,2,1]
[[1,3,5,7,9,11,13,15,16],[2,4,6,8,10,12,14,17,18]] => [3,2,2,2,2,2,3,2]
[[1,3,5,7,9,11,13,14,16],[2,4,6,8,10,12,15,17,18]] => [3,2,2,2,2,3,2,2]
[[1,3,5,7,9,11,12,14,16],[2,4,6,8,10,13,15,17,18]] => [3,2,2,2,3,2,2,2]
[[1,3,5,7,9,10,12,14,16],[2,4,6,8,11,13,15,17,18]] => [3,2,2,3,2,2,2,2]
[[1,3,5,7,8,10,12,14,16],[2,4,6,9,11,13,15,17,18]] => [3,2,3,2,2,2,2,2]
[[1,3,5,6,8,10,12,14,16],[2,4,7,9,11,13,15,17,18]] => [3,3,2,2,2,2,2,2]
[[1,3,4,6,8,10,12,14,16],[2,5,7,9,11,13,15,17,18]] => [4,2,2,2,2,2,2,2]
[[1,2,4,6,8,10,12,14,16],[3,5,7,9,11,13,15,17,18]] => [2,2,2,2,2,2,2,2,2]
[[1,3,5,7,9,11,13,14,15],[2,4,6,8,10,12,16,17,18]] => [3,2,2,2,2,4,3]
[[1,3,5,7,9,11,12,13,16],[2,4,6,8,10,14,15,17,18]] => [3,2,2,2,4,3,2]
[[1,3,5,7,9,10,11,14,16],[2,4,6,8,12,13,15,17,18]] => [3,2,2,4,3,2,2]
[[1,3,5,7,8,9,12,14,16],[2,4,6,10,11,13,15,17,18]] => [3,2,4,3,2,2,2]
[[1,3,5,6,7,10,12,14,16],[2,4,8,9,11,13,15,17,18]] => [3,4,3,2,2,2,2]
[[1,3,4,5,8,10,12,14,16],[2,6,7,9,11,13,15,17,18]] => [5,3,2,2,2,2,2]
[[1,2,3,6,8,10,12,14,16],[4,5,7,9,11,13,15,17,18]] => [3,3,2,2,2,2,2,2]
[[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]] => [8,9,1]
[[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]] => [10,8]
[[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]] => [7,2,8,1]
[[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]] => [9,2,7]
[[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]] => [7,3,7,1]
[[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]] => [6,3,8,1]
[[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]] => [9,3,6]
[[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]] => [8,3,7]
[[1,3,5,7,9,11,13,15,17,19],[2,4,6,8,10,12,14,16,18,20]] => [3,2,2,2,2,2,2,2,2,1]
[[1,3,5,7,9,11,13,15,17,18],[2,4,6,8,10,12,14,16,19,20]] => [3,2,2,2,2,2,2,3,2]
[[1,3,5,7,9,11,13,15,16,18],[2,4,6,8,10,12,14,17,19,20]] => [3,2,2,2,2,2,3,2,2]
[[1,3,5,7,9,11,13,14,16,18],[2,4,6,8,10,12,15,17,19,20]] => [3,2,2,2,2,3,2,2,2]
[[1,3,5,7,9,11,12,14,16,18],[2,4,6,8,10,13,15,17,19,20]] => [3,2,2,2,3,2,2,2,2]
[[1,3,5,7,9,10,12,14,16,18],[2,4,6,8,11,13,15,17,19,20]] => [3,2,2,3,2,2,2,2,2]
[[1,3,5,7,8,10,12,14,16,18],[2,4,6,9,11,13,15,17,19,20]] => [3,2,3,2,2,2,2,2,2]
[[1,3,5,6,8,10,12,14,16,18],[2,4,7,9,11,13,15,17,19,20]] => [3,3,2,2,2,2,2,2,2]
[[1,3,4,6,8,10,12,14,16,18],[2,5,7,9,11,13,15,17,19,20]] => [4,2,2,2,2,2,2,2,2]
[[1,2,4,6,8,10,12,14,16,18],[3,5,7,9,11,13,15,17,19,20]] => [2,2,2,2,2,2,2,2,2,2]
[[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]] => [9,10,1]
[[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]] => [11,9]
[[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]] => [8,2,9,1]
[[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]] => [10,2,8]
[[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]] => [10,11,1]
[[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]] => [12,10]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The composition corresponding to the peak set of a standard tableau.
Let $T$ be a standard tableau of size $n$.
An entry $i$ of $T$ is a descent if $i+1$ is in a lower row (in English notation), otherwise $i$ is an ascent.
An entry $2 \leq i \leq n-1$ is a peak, if $i-1$ is an ascent and $i$ is a descent.
This map returns the composition $c_1,\dots,c_k$ of $n$ such that $\{c_1, c_1+c_2,\dots, c_1+\dots+c_k\}$ is the peak set of $T$.
References
[1] Zhou, R. D. P., Yan, S. H. F. Equidistribution of set-valued statistics on standard Young tableaux and transversals arXiv:2306.04382
Properties
graded
Sage code
def mapping(T):
    d = T.standard_descents()
    c = [i for i in range(2, T.size()) if i in d and i-1 not in d]
    return Composition(from_subset=(c, T.size()))
Weight
40
Created
Jun 12, 2023 at 07:45 by Martin Rubey
Updated
Jun 12, 2023 at 07:45 by Martin Rubey