[[1,3],[2,4],[5,6]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 3
[[1,2],[3,4],[5,6]] => [2,2,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 3
[[1,5],[2,6],[3],[4]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 1
[[1,4],[2,6],[3],[5]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 1
[[1,3],[2,6],[4],[5]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 1
[[1,2],[3,6],[4],[5]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 1
[[1,4],[2,5],[3],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 1
[[1,3],[2,5],[4],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 1
[[1,2],[3,5],[4],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 1
[[1,3],[2,4],[5],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 1
[[1,2],[3,4],[5],[6]] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => 1
[[1,6],[2],[3],[4],[5]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 0
[[1,5],[2],[3],[4],[6]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 0
[[1,4],[2],[3],[5],[6]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 0
[[1,3],[2],[4],[5],[6]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 0
[[1,2],[3],[4],[5],[6]] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 0
[[1],[2],[3],[4],[5],[6]] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => {{1},{2},{3},{4},{5},{6}} => 0
[[1,2,3,4,5,6,7]] => [7] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}} => 0
[[1,3,4,5,6,7],[2]] => [6,1] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0
[[1,2,4,5,6,7],[3]] => [6,1] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0
[[1,2,3,5,6,7],[4]] => [6,1] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0
[[1,2,3,4,6,7],[5]] => [6,1] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0
[[1,2,3,4,5,7],[6]] => [6,1] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0
[[1,2,3,4,5,6],[7]] => [6,1] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0
[[1,3,5,6,7],[2,4]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,5,6,7],[3,4]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,3,4,6,7],[2,5]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,4,6,7],[3,5]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,3,6,7],[4,5]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,3,4,5,7],[2,6]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,4,5,7],[3,6]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,3,5,7],[4,6]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,3,4,7],[5,6]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,3,4,5,6],[2,7]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,4,5,6],[3,7]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,3,5,6],[4,7]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,3,4,6],[5,7]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,2,3,4,5],[6,7]] => [5,2] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 1
[[1,4,5,6,7],[2],[3]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,3,5,6,7],[2],[4]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,5,6,7],[3],[4]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,3,4,6,7],[2],[5]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,4,6,7],[3],[5]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,3,6,7],[4],[5]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,3,4,5,7],[2],[6]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,4,5,7],[3],[6]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,3,5,7],[4],[6]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,3,4,7],[5],[6]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,3,4,5,6],[2],[7]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,4,5,6],[3],[7]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,3,5,6],[4],[7]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,3,4,6],[5],[7]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,2,3,4,5],[6],[7]] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0
[[1,3,5,7],[2,4,6]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,2,5,7],[3,4,6]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,3,4,7],[2,5,6]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,2,4,7],[3,5,6]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,2,3,7],[4,5,6]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,3,5,6],[2,4,7]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,2,5,6],[3,4,7]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,3,4,6],[2,5,7]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,2,4,6],[3,5,7]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,2,3,6],[4,5,7]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,3,4,5],[2,6,7]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,2,4,5],[3,6,7]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,2,3,5],[4,6,7]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,2,3,4],[5,6,7]] => [4,3] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 2
[[1,4,6,7],[2,5],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,6,7],[2,5],[4]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,6,7],[3,5],[4]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,6,7],[2,4],[5]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,6,7],[3,4],[5]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,4,5,7],[2,6],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,5,7],[2,6],[4]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,5,7],[3,6],[4]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,4,7],[2,6],[5]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,4,7],[3,6],[5]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,3,7],[4,6],[5]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,5,7],[2,4],[6]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,5,7],[3,4],[6]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,4,7],[2,5],[6]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,4,7],[3,5],[6]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,3,7],[4,5],[6]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,4,5,6],[2,7],[3]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,5,6],[2,7],[4]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,5,6],[3,7],[4]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,4,6],[2,7],[5]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,4,6],[3,7],[5]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,3,6],[4,7],[5]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,4,5],[2,7],[6]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,4,5],[3,7],[6]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,3,5],[4,7],[6]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,3,4],[5,7],[6]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,5,6],[2,4],[7]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,5,6],[3,4],[7]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,4,6],[2,5],[7]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,4,6],[3,5],[7]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,3,6],[4,5],[7]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,3,4,5],[2,6],[7]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,4,5],[3,6],[7]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,3,5],[4,6],[7]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,2,3,4],[5,6],[7]] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 1
[[1,5,6,7],[2],[3],[4]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,4,6,7],[2],[3],[5]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,3,6,7],[2],[4],[5]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,6,7],[3],[4],[5]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,4,5,7],[2],[3],[6]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,3,5,7],[2],[4],[6]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,5,7],[3],[4],[6]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,3,4,7],[2],[5],[6]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,4,7],[3],[5],[6]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,3,7],[4],[5],[6]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,4,5,6],[2],[3],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,3,5,6],[2],[4],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,5,6],[3],[4],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,3,4,6],[2],[5],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,4,6],[3],[5],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,3,6],[4],[5],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,3,4,5],[2],[6],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,4,5],[3],[6],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,3,5],[4],[6],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,2,3,4],[5],[6],[7]] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0
[[1,4,6],[2,5,7],[3]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,3,6],[2,5,7],[4]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,6],[3,5,7],[4]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,3,6],[2,4,7],[5]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,6],[3,4,7],[5]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,4,5],[2,6,7],[3]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,3,5],[2,6,7],[4]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,5],[3,6,7],[4]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,3,4],[2,6,7],[5]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,4],[3,6,7],[5]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,3],[4,6,7],[5]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,3,5],[2,4,7],[6]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,5],[3,4,7],[6]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,3,4],[2,5,7],[6]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,4],[3,5,7],[6]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,3],[4,5,7],[6]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,3,5],[2,4,6],[7]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,5],[3,4,6],[7]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,3,4],[2,5,6],[7]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,4],[3,5,6],[7]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,2,3],[4,5,6],[7]] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 2
[[1,4,7],[2,5],[3,6]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,3,7],[2,5],[4,6]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,7],[3,5],[4,6]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,3,7],[2,4],[5,6]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,7],[3,4],[5,6]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,4,6],[2,5],[3,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,3,6],[2,5],[4,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,6],[3,5],[4,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,3,6],[2,4],[5,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,6],[3,4],[5,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,4,5],[2,6],[3,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,3,5],[2,6],[4,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,5],[3,6],[4,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,3,4],[2,6],[5,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,4],[3,6],[5,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,3],[4,6],[5,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,3,5],[2,4],[6,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,5],[3,4],[6,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,3,4],[2,5],[6,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,4],[3,5],[6,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,2,3],[4,5],[6,7]] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 3
[[1,5,7],[2,6],[3],[4]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,4,7],[2,6],[3],[5]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,7],[2,6],[4],[5]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,7],[3,6],[4],[5]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,4,7],[2,5],[3],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,7],[2,5],[4],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,7],[3,5],[4],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,7],[2,4],[5],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,7],[3,4],[5],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,5,6],[2,7],[3],[4]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,4,6],[2,7],[3],[5]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,6],[2,7],[4],[5]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,6],[3,7],[4],[5]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,4,5],[2,7],[3],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,5],[2,7],[4],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,5],[3,7],[4],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,4],[2,7],[5],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,4],[3,7],[5],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,3],[4,7],[5],[6]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,4,6],[2,5],[3],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,6],[2,5],[4],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,6],[3,5],[4],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,6],[2,4],[5],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,6],[3,4],[5],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,4,5],[2,6],[3],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,5],[2,6],[4],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,5],[3,6],[4],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,4],[2,6],[5],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,4],[3,6],[5],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,3],[4,6],[5],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,5],[2,4],[6],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,5],[3,4],[6],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,3,4],[2,5],[6],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,4],[3,5],[6],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,2,3],[4,5],[6],[7]] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 1
[[1,6,7],[2],[3],[4],[5]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,5,7],[2],[3],[4],[6]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,4,7],[2],[3],[5],[6]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,3,7],[2],[4],[5],[6]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,2,7],[3],[4],[5],[6]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,5,6],[2],[3],[4],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,4,6],[2],[3],[5],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,3,6],[2],[4],[5],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,2,6],[3],[4],[5],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,4,5],[2],[3],[6],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,3,5],[2],[4],[6],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,2,5],[3],[4],[6],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,3,4],[2],[5],[6],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,2,4],[3],[5],[6],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,2,3],[4],[5],[6],[7]] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0
[[1,5],[2,6],[3,7],[4]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,4],[2,6],[3,7],[5]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,3],[2,6],[4,7],[5]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,2],[3,6],[4,7],[5]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,4],[2,5],[3,7],[6]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,3],[2,5],[4,7],[6]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,2],[3,5],[4,7],[6]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,3],[2,4],[5,7],[6]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,2],[3,4],[5,7],[6]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,4],[2,5],[3,6],[7]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,3],[2,5],[4,6],[7]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,2],[3,5],[4,6],[7]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,3],[2,4],[5,6],[7]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,2],[3,4],[5,6],[7]] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 3
[[1,6],[2,7],[3],[4],[5]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,5],[2,7],[3],[4],[6]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,4],[2,7],[3],[5],[6]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,3],[2,7],[4],[5],[6]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,2],[3,7],[4],[5],[6]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,5],[2,6],[3],[4],[7]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,4],[2,6],[3],[5],[7]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,3],[2,6],[4],[5],[7]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,2],[3,6],[4],[5],[7]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,4],[2,5],[3],[6],[7]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,3],[2,5],[4],[6],[7]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,2],[3,5],[4],[6],[7]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,3],[2,4],[5],[6],[7]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,2],[3,4],[5],[6],[7]] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 1
[[1,7],[2],[3],[4],[5],[6]] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 0
[[1,6],[2],[3],[4],[5],[7]] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 0
[[1,5],[2],[3],[4],[6],[7]] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 0
[[1,4],[2],[3],[5],[6],[7]] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 0
[[1,3],[2],[4],[5],[6],[7]] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 0
[[1,2],[3],[4],[5],[6],[7]] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 0
[[1],[2],[3],[4],[5],[6],[7]] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => {{1},{2},{3},{4},{5},{6},{7}} => 0
[[1,2,3,4,5,6,7,8]] => [8] => [[1,2,3,4,5,6,7,8]] => {{1,2,3,4,5,6,7,8}} => 0
[[1,3,4,5,6,7,8],[2]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 0
[[1,2,4,5,6,7,8],[3]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 0
[[1,2,3,5,6,7,8],[4]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 0
[[1,2,3,4,6,7,8],[5]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 0
[[1,2,3,4,5,7,8],[6]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 0
[[1,2,3,4,5,6,8],[7]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 0
[[1,2,3,4,5,6,7],[8]] => [7,1] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 0
[[1,3,5,6,7,8],[2,4]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,5,6,7,8],[3,4]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,3,4,6,7,8],[2,5]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,4,6,7,8],[3,5]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,6,7,8],[4,5]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,3,4,5,7,8],[2,6]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,4,5,7,8],[3,6]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,5,7,8],[4,6]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,4,7,8],[5,6]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,3,4,5,6,8],[2,7]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,4,5,6,8],[3,7]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,5,6,8],[4,7]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,4,6,8],[5,7]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,4,5,8],[6,7]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,3,4,5,6,7],[2,8]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,4,5,6,7],[3,8]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,5,6,7],[4,8]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,4,6,7],[5,8]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,4,5,7],[6,8]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1
[[1,2,3,4,5,6],[7,8]] => [6,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 1