Values
[[2,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,1],[1]] => [1] => [[1]] => {{1}} => 0
[[2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[2,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[2,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,2],[1]] => [1] => [[1]] => {{1}} => 0
[[4,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[3,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[2,2,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[3,2,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[2,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[3,2,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[2,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[2,2,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[2,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,2],[1]] => [1] => [[1]] => {{1}} => 0
[[5,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[5,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[3,3],[1]] => [1] => [[1]] => {{1}} => 0
[[4,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[3,3,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,2,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,3,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,2,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[3,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,2,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,3,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,2,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,3,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,3,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,4],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,4],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[3,3,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[4,3,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,4,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[2,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,2,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,2],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,2],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[2,2,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,3,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[3,2,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,2,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,3,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,2,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[3,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,3],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[4,3,3],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,4,3],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[2,2,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,3,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,3,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,3,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[3,2,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,3,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,3,2,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[2,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,3,2],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[3,3,2,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,2,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,3,3,2],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[4,3,2,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[2,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[2,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[3,3,2,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[2,1,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[3,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
>>> Load all 958 entries. <<<
[[3,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,2,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,3,2,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[6,1],[1]] => [1] => [[1]] => {{1}} => 0
[[5,2],[1]] => [1] => [[1]] => {{1}} => 0
[[6,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[6,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3],[1]] => [1] => [[1]] => {{1}} => 0
[[5,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[6,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[4,3,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,2,1],[1]] => [1] => [[1]] => {{1}} => 0
[[5,3,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,2,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[6,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[4,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,2,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[6,3,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[4,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,2,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,3,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[5,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[5,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[6,3,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,4],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,4],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[6,4],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[3,3,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,4,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,3,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[6,4,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[3,3,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[3,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[4,3,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,4,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[4,2,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,3,2],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,4,2],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[3,3,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,2,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,3,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,3,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,4,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,2,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,3,2,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[5,3,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,4,2,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[4,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,4,3],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[5,3,3],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[6,4,3],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[3,2,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,3,3,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,3,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,4,3,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[4,2,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,3,3,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,3,2,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,3,3,2],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[4,3,2,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,2,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[5,3,3,2],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[5,3,2,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[3,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[3,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[3,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[4,3,2,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,1,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[4,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,3,2,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[5,3,2,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,5],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[6,5],[5]] => [5] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 4
[[4,4,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,5,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[5,4,1],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[6,5,1],[5,1]] => [5,1] => [[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => 5
[[3,3,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,2],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,5,2],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[4,3,2],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,4,2],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[6,5,2],[5,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 6
[[3,3,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,2,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,4,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,5,2,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[4,3,1,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,4,2,1],[4,1,1]] => [4,1,1] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 5
[[5,4,1,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[3,3,3],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,3],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,5,3],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[4,3,3],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,3],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[2,2,2,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,3,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,3,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,4,2,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,2,2,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,3,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,3,2,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,3,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,4,2,1],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[3,3,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,4,3,2],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[4,4,2,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,3,2,2],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[5,4,2,2],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[2,2,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,2,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[3,3,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,3,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,2,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,4,2,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[3,2,1,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,2,2,1],[3,1,1,1]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => 5
[[4,3,2,1,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,3,1,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,2,1,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[4,4,4],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[5,4,4],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[3,3,3,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,4,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[4,4,3,1],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[4,3,3,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,4,3,1],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[2,2,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,3,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,3,2,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,3,2],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[3,2,2,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,3,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,3,2,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[2,2,2,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,3,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[3,3,3,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,3,2,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,3,1,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[3,2,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,3,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,3,3,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,3,2,1,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,3,3,3],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[4,3,3,3],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[2,2,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,3,3,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[3,3,3,2,1],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[3,3,2,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,2,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,3,3,2,1],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[4,3,2,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[3,3,3,2,2],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[3,3,2,2,2],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[3,2,2,2,2],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[4,3,2,2,2],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[2,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => 4
[[2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,3,2,1,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[2,2,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,2,2,2,1],[2,2,1,1,1]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 6
[[3,3,2,2,1,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[3,3,2,1,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[2,1,1,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,2,2,2,2,1],[2,1,1,1,1]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 5
[[3,2,2,2,1,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[3,2,2,1,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,2,1,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,2,2,1,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,3,2,1,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[7,1],[1]] => [1] => [[1]] => {{1}} => 0
[[6,2],[1]] => [1] => [[1]] => {{1}} => 0
[[7,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[6,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[6,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[7,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,3],[1]] => [1] => [[1]] => {{1}} => 0
[[6,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[7,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,3,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,2,1],[1]] => [1] => [[1]] => {{1}} => 0
[[6,3,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[6,2,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[7,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[6,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[6,2,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[7,3,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[5,2,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[6,3,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[5,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[6,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[6,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[7,3,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,4],[1]] => [1] => [[1]] => {{1}} => 0
[[5,4],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[6,4],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[7,4],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[4,4,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,3,1],[1]] => [1] => [[1]] => {{1}} => 0
[[5,4,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,3,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[6,4,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,3,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[7,4,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[4,3,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,4,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[5,3,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[6,4,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,2,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[6,3,2],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[7,4,2],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[4,3,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,3,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,4,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,2,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[5,3,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[5,3,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[6,4,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,2,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[6,3,2,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[6,3,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[7,4,2,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[6,4,3],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[6,3,3],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[7,4,3],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[4,2,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,3,3,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[5,3,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[6,4,3,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[5,2,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[6,3,3,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[6,3,2,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[4,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[5,3,3,2],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[5,3,2,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[5,2,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[6,3,3,2],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[6,3,2,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[4,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[5,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[4,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[5,3,2,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,1,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[5,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[5,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[5,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[6,3,2,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[6,3,2,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,5],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[6,5],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[7,5],[5]] => [5] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 4
[[4,4,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,5,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[6,5,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[6,4,1],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[7,5,1],[5,1]] => [5,1] => [[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => 5
[[3,3,2],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,5,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[4,3,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,4,2],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,5,2],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[5,3,2],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[6,4,2],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[7,5,2],[5,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 6
[[3,3,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,4,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,5,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,3,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,4,2,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[5,4,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,5,2,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,3,1,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[6,4,2,1],[4,1,1]] => [4,1,1] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 5
[[6,4,1,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[3,3,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,3],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,5,3],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[4,3,3],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,4,3],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[6,5,3],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[5,3,3],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,4,3],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[3,3,3,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,3,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,4,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,5,3,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[3,2,2,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,3,3,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,3,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,4,3,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,4,2,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[4,2,2,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,3,3,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[5,3,2,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,4,3,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[6,4,2,1],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[3,3,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,4,3,2],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[4,4,2,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,3,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[5,4,3,2],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[5,4,2,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,3,2,2],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[6,4,2,2],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[3,3,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[3,3,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,4,3,2,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[3,3,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,2,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[4,4,2,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,2,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,3,2,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[4,3,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,3,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,4,2,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[5,4,2,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,2,1,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,3,2,2,1],[3,1,1,1]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => 5
[[5,3,2,1,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[5,3,1,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,4,2,1,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,4,4],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[6,4,4],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[4,3,3,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,4,4,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[5,4,3,1],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[5,3,3,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[6,4,3,1],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[3,2,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,3,3,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,3,2,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,4,3,2],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[4,2,2,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,3,3,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,3,2,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,2,2,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,3,3,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[4,3,3,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,3,2,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,4,3,1,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[4,2,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,3,3,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[5,3,3,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,3,2,1,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[4,3,3,3],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[5,3,3,3],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[3,2,2,2,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,3,3,3,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[4,3,3,2,1],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[4,3,2,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,2,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[5,3,3,2,1],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[5,3,2,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[4,3,3,2,2],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[4,3,2,2,2],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[4,2,2,2,2],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[5,3,2,2,2],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[3,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => 4
[[3,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[3,2,2,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,3,3,2,1,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[3,2,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,3,2,2,2,1],[2,2,1,1,1]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 6
[[4,3,2,2,1,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[4,3,2,1,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,1,1,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,2,2,2,2,1],[2,1,1,1,1]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 5
[[4,2,2,2,1,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[4,2,2,1,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,2,1,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,3,2,2,1,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[5,3,2,1,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[6,6],[5]] => [5] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 4
[[7,6],[6]] => [6] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => 5
[[5,5,1],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[6,6,1],[5,1]] => [5,1] => [[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => 5
[[6,5,1],[5]] => [5] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 4
[[7,6,1],[6,1]] => [6,1] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 6
[[4,4,2],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,5,2],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[6,6,2],[5,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 6
[[5,4,2],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[6,5,2],[5,1]] => [5,1] => [[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => 5
[[4,4,1,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,5,2,1],[4,1,1]] => [4,1,1] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 5
[[5,5,1,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[5,4,1,1],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[6,5,2,1],[5,1,1]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 6
[[6,5,1,1],[5,1]] => [5,1] => [[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => 5
[[3,3,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,3],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,5,3],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[4,3,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,4,3],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[6,5,3],[5,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 6
[[3,3,2,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,3,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,4,2,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,5,3,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,5,2,1],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[4,3,2,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,4,3,1],[4,1,1]] => [4,1,1] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 5
[[5,4,2,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[6,5,2,1],[5,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 6
[[4,4,2,2],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[5,5,2,2],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,4,2,2],[4,1,1]] => [4,1,1] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 5
[[3,3,1,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,2,2,1],[3,1,1,1]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => 5
[[4,4,2,1,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,4,1,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,5,2,1,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[4,3,1,1,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,4,2,2,1],[4,1,1,1]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 6
[[5,4,2,1,1],[4,1,1]] => [4,1,1] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 5
[[5,4,1,1,1],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[4,4,4],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,5,4],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[5,4,4],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[3,3,3,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,4,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,4,3,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,5,3,1],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[4,3,3,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,4,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,4,3,1],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[2,2,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,4,4,2],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[3,3,2,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,3,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,4,2,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,2,2,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,3,2],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,3,2,2],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,3,2],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,4,2,2],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[2,2,2,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[3,3,3,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,3,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,3,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,4,3,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,4,2,1,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,2,2,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,3,2,1],[3,1,1,1]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => 5
[[4,3,3,1,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,3,2,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,3,1,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,4,2,1,1],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[4,4,3,3],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[3,3,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,4,3,2,1],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[4,4,2,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,3,2,2,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[5,4,2,2,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[4,4,2,2,2],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,3,2,2,2],[3,1,1,1]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => 5
[[2,2,1,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,2,2,2,1],[2,1,1,1,1]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 5
[[3,3,2,2,1,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[3,3,2,1,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,3,1,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,2,2,1,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,4,2,1,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[3,2,1,1,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,2,2,2,1],[3,1,1,1,1]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 6
[[4,3,2,2,1,1],[3,1,1,1]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => 5
[[4,3,2,1,1,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,3,1,1,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,2,1,1,1],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[4,4,4,1],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[5,4,4,1],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[3,3,3,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,4,2],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[4,4,3,2],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[4,3,3,2],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,4,3,2],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[3,3,3,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,4,1,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[4,4,3,1,1],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[4,3,3,1,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,4,3,1,1],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[3,3,3,3],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,4,3,3],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[4,3,3,3],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[2,2,2,2,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,3,3,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[3,3,3,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,3,2,2,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,3,2,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[3,2,2,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,3,3,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,3,3,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,3,2,2,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[4,3,3,2,2],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[2,2,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,3,2,2,1],[2,2,1,1,1]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 6
[[3,3,3,2,1,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[3,3,3,1,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,3,2,1,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,3,1,1,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[3,2,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,3,2,1,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,3,3,1,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,3,2,1,1,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[3,3,3,3,1],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[4,3,3,3,1],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[2,2,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[3,3,3,2,2],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[3,3,2,2,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,2,2,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,3,3,2,2],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[4,3,2,2,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,3,3,1,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[3,3,3,2,1,1],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[3,3,2,2,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[3,2,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,3,3,2,1,1],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[4,3,2,2,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[3,3,3,2,2,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[3,3,2,2,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[3,2,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[4,3,2,2,2,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => 4
[[3,3,2,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 6
[[3,2,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 5
[[2,2,2,2,2,2,1],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => {{1},{2},{3},{4},{5},{6}} => 5
[[2,2,2,2,2,1,1],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => 4
[[2,2,2,2,1,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[2,2,2,1,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,3,2,1,1,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[2,2,1,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,2,2,2,1,1],[2,2,1,1,1]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 6
[[3,3,2,2,1,1,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[3,3,2,1,1,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[2,1,1,1,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,2,2,2,2,2,1],[2,1,1,1,1,1]] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 6
[[3,2,2,2,2,1,1],[2,1,1,1,1]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 5
[[3,2,2,2,1,1,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[3,2,2,1,1,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,2,1,1,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,2,2,1,1,1],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[4,3,2,1,1,1,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[2,2,1,1,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[2,2,2,1,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,2,1,1,1,1],[1]] => [1] => [[1]] => {{1}} => 0
[[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,2,2,1,1,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,2,1,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,1,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[2,2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,2,2,1,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,3,2,1,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,2,1,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[4,3,3,1,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,3,1,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,3,1,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[2,2,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => 4
[[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[3,3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[4,3,2,2,1],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,4,2,2,1],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[4,3,3,2,1],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[4,4,3,2,1],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,3,2,1],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,4,2,1],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[5,4,2,1],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[4,3,3,3,1],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[4,4,3,3,1],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[5,3,3,1],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,4,3,1],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,5,3,1],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[5,4,4,1],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[5,5,4,1],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[6,4,1],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => {{1},{2},{3},{4},{5},{6}} => 5
[[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => 4
[[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 5
[[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 6
[[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[4,4,2,2,2],[3,1,1,1]] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => 5
[[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[5,3,2,2],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[5,4,2,2],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[5,3,3,2],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[5,4,3,2],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,5,3,2],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,4,4,2],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[6,4,2],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,5,2],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[5,3,3,3],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[5,4,3,3],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[6,4,3],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[6,5,3],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[6,6,3],[5,2]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 6
[[6,4,4],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[6,5,4],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[7,4],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[7,7],[6]] => [6] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => 5
[[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => {{1},{2},{3},{4},{5},{6},{7}} => 6
[[8,8],[7]] => [7] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}} => 6
[[3,3,3],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,2,1],[1]] => [1] => [[1]] => {{1}} => 0
[[2,2,2,2,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,3,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,4,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,4],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,5],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,3],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[3,3,3,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,3,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,4,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,4],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,5],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,3,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,2],[1]] => [1] => [[1]] => {{1}} => 0
[[2,2,2,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,2,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,2,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[2,2,2,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,3,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,3,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[4,4,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,3,3],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,3],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,3],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[4,4,4],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,3,3],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,1],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,3,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,1],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4,1],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[6,6],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[5,5,5],[4,3]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 6
[[6,5],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,5,5],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[6,6],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[6,4],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,5,4],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[4,4,4,4],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[5,4,4],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,4,4,4],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[5,5,4],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,5,5],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[6,5],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,5,5],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[6,6],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,5,5],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[3,3,3,3,3],[2,2,2,1]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 6
[[6,3],[1]] => [1] => [[1]] => {{1}} => 0
[[5,5,3],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,3],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,4,3],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[5,5,3],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[3,3,3,3,3],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[5,3,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,3,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[3,3,3,3,3],[2,1,1,1]] => [2,1,1,1] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 4
[[4,3,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[3,3,3,3,3],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[4,4,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[5,4,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,4,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[5,5,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,4,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,4,4,4],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[6,4],[1]] => [1] => [[1]] => {{1}} => 0
[[5,5,4],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[4,4,4,4],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,4,4],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,4,4],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[5,5,4],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,5,5],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[6,5],[1]] => [1] => [[1]] => {{1}} => 0
[[5,5,5],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[6,6],[1]] => [1] => [[1]] => {{1}} => 0
[[5,5,5],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,4,4,4],[3,1,1]] => [3,1,1] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 4
[[5,4,4],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,4,4],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[5,5,4],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,4,4],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[5,5,5],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[5,5,2],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,4,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4,2],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,5,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,3,2],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,3,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,3,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,3,3,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,4,3,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,4,2],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,2],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,5,2],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[2,2,2,2,2,2],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,4,2,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[2,2,2,2,2,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,2,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,2,2],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,3,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,3,3,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3,2],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,3,2],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,2],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[4,4,4,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3,2],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,3,3,2],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3,3],[2,2,2]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 5
[[5,5,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,4,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4,3],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,5,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,3,3,3],[2,2,1]] => [2,2,1] => [[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => 4
[[5,3,3],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,3,3],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[3,3,3,3,3],[2,1,1]] => [2,1,1] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 3
[[4,3,3,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[3,3,3,3,3],[1,1,1]] => [1,1,1] => [[1],[2],[3]] => {{1},{2},{3}} => 2
[[4,4,3,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,4,3],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,3],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,3],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,5,3],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,4,4],[3,3]] => [3,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 5
[[5,5,4],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[4,4,4,4],[3,2]] => [3,2] => [[1,2,3],[4,5]] => {{1,2,3},{4,5}} => 4
[[5,4,4],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4,4],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[5,5,4],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[5,5,5],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[5,5,5],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,5,5],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4,4],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,4,4],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,4],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[5,5,4],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,4],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[5,5,5],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3,3],[2,2]] => [2,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 3
[[4,3,3,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,3,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[4,4,3,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,3,3,3],[2,1]] => [2,1] => [[1,2],[3]] => {{1,2},{3}} => 2
[[4,3,3,3],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3,3],[1,1]] => [1,1] => [[1],[2]] => {{1},{2}} => 1
[[4,4,3,3],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[4,4,4,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4,3],[1]] => [1] => [[1]] => {{1}} => 0
[[3,3,3,3,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[3,3,3,3,3],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,4],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[4,4,4,4],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4,4],[1]] => [1] => [[1]] => {{1}} => 0
[[5,5,5,1],[1]] => [1] => [[1]] => {{1}} => 0
[[4,4,4,4,1],[1]] => [1] => [[1]] => {{1}} => 0
[[7,7],[5]] => [5] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 4
[[7,7],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[6,6,6],[4,2]] => [4,2] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 5
[[5,5,5,5],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[5,5,5,5],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[5,5,5,5],[4,2,1]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 6
[[5,5,5,5],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[4,4,4,4,4],[3,2,1,1]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 6
[[2,2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => 4
[[2,2,2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 3
[[3,3,3,3,3,3],[2,2,1,1]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 5
[[4,4,4,4,4],[3,2,2]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 6
[[4,4,4,4,4],[3,3,1]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 6
[[4,4,4,4,4],[3,2,1]] => [3,2,1] => [[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => 5
[[5,5,5,5],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[3,3,3,3,3,3],[2]] => [2] => [[1,2]] => {{1,2}} => 1
[[4,4,4,4,3],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[5,5,5,4],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[4,4,4,4,4],[3,1]] => [3,1] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[5,5,5,5],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[4,4,4,4,4],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[8,8],[6]] => [6] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => 5
[[2,2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => {{1},{2},{3},{4},{5},{6}} => 5
[[5,5,5,5,5],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[5,5,5,5,5,5],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[4,4,4,4,4,4],[3]] => [3] => [[1,2,3]] => {{1,2,3}} => 2
[[6,6,6,6,6,6],[5]] => [5] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 4
[[6,6,6,6,6],[5]] => [5] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 4
[[5,5,5,5,4],[4]] => [4] => [[1,2,3,4]] => {{1,2,3,4}} => 3
[[5,5,5,5,5],[4,1]] => [4,1] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[5,5,5,5,1],[1]] => [1] => [[1]] => {{1}} => 0
search for individual values
searching the database for the individual values of this statistic
Description
The number of ascent tops in the flattened set partition such that all smaller elements appear before.
Let $P$ be a set partition. The flattened set partition is the permutation obtained by sorting the set of blocks of $P$ according to their minimal element and the elements in each block in increasing order.
Given a set partition $P$, this statistic is the binary logarithm of the number of set partitions that flatten to the same permutation as $P$.
Map
rows
Description
The set partition whose blocks are the rows of the tableau.
Map
initial tableau
Description
Sends an integer partition to the standard tableau obtained by filling the numbers $1$ through $n$ row by row.
Map
inner shape
Description
The inner shape of a skew partition.