Identifier
Values
{{1}} => [1] => [1] => [1,0] => 0
{{1,2}} => [2] => [1,1] => [1,0,1,0] => 1
{{1},{2}} => [1,1] => [2] => [1,1,0,0] => 0
{{1,2},{3}} => [2,1] => [2,1] => [1,1,0,0,1,0] => 1
{{1,3},{2}} => [2,1] => [2,1] => [1,1,0,0,1,0] => 1
{{1},{2,3}} => [1,2] => [1,2] => [1,0,1,1,0,0] => 2
{{1},{2},{3}} => [1,1,1] => [3] => [1,1,1,0,0,0] => 0
{{1,2},{3,4}} => [2,2] => [1,2,1] => [1,0,1,1,0,0,1,0] => 3
{{1,2},{3},{4}} => [2,1,1] => [3,1] => [1,1,1,0,0,0,1,0] => 1
{{1,3},{2,4}} => [2,2] => [1,2,1] => [1,0,1,1,0,0,1,0] => 3
{{1,3},{2},{4}} => [2,1,1] => [3,1] => [1,1,1,0,0,0,1,0] => 1
{{1,4},{2,3}} => [2,2] => [1,2,1] => [1,0,1,1,0,0,1,0] => 3
{{1},{2,3},{4}} => [1,2,1] => [2,2] => [1,1,0,0,1,1,0,0] => 2
{{1,4},{2},{3}} => [2,1,1] => [3,1] => [1,1,1,0,0,0,1,0] => 1
{{1},{2,4},{3}} => [1,2,1] => [2,2] => [1,1,0,0,1,1,0,0] => 2
{{1},{2},{3,4}} => [1,1,2] => [1,3] => [1,0,1,1,1,0,0,0] => 3
{{1},{2},{3},{4}} => [1,1,1,1] => [4] => [1,1,1,1,0,0,0,0] => 0
{{1,2},{3,4},{5}} => [2,2,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
{{1,2},{3,5},{4}} => [2,2,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
{{1,2},{3},{4,5}} => [2,1,2] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 4
{{1,2},{3},{4},{5}} => [2,1,1,1] => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 1
{{1,3},{2,4},{5}} => [2,2,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
{{1,3},{2,5},{4}} => [2,2,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
{{1,3},{2},{4,5}} => [2,1,2] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 4
{{1,3},{2},{4},{5}} => [2,1,1,1] => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 1
{{1,4},{2,3},{5}} => [2,2,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
{{1,5},{2,3},{4}} => [2,2,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
{{1},{2,3},{4,5}} => [1,2,2] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
{{1},{2,3},{4},{5}} => [1,2,1,1] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 2
{{1,4},{2,5},{3}} => [2,2,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
{{1,4},{2},{3,5}} => [2,1,2] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 4
{{1,4},{2},{3},{5}} => [2,1,1,1] => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 1
{{1,5},{2,4},{3}} => [2,2,1] => [2,2,1] => [1,1,0,0,1,1,0,0,1,0] => 3
{{1},{2,4},{3,5}} => [1,2,2] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
{{1},{2,4},{3},{5}} => [1,2,1,1] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 2
{{1,5},{2},{3,4}} => [2,1,2] => [1,3,1] => [1,0,1,1,1,0,0,0,1,0] => 4
{{1},{2,5},{3,4}} => [1,2,2] => [1,2,2] => [1,0,1,1,0,0,1,1,0,0] => 4
{{1},{2},{3,4},{5}} => [1,1,2,1] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 3
{{1,5},{2},{3},{4}} => [2,1,1,1] => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 1
{{1},{2,5},{3},{4}} => [1,2,1,1] => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 2
{{1},{2},{3,5},{4}} => [1,1,2,1] => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 3
{{1},{2},{3},{4,5}} => [1,1,1,2] => [1,4] => [1,0,1,1,1,1,0,0,0,0] => 4
{{1},{2},{3},{4},{5}} => [1,1,1,1,1] => [5] => [1,1,1,1,1,0,0,0,0,0] => 0
{{1,2},{3,4},{5,6}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3,4},{5},{6}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,2},{3,5},{4,6}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3,5},{4},{6}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,2},{3,6},{4,5}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3},{4,5},{6}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1,2},{3,6},{4},{5}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,2},{3},{4,6},{5}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1,2},{3},{4},{5,6}} => [2,1,1,2] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,2},{3},{4},{5},{6}} => [2,1,1,1,1] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
{{1,3},{2,4},{5,6}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2,4},{5},{6}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,3},{2,5},{4,6}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2,5},{4},{6}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,3},{2,6},{4,5}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2},{4,5},{6}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1,3},{2,6},{4},{5}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,3},{2},{4,6},{5}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1,3},{2},{4},{5,6}} => [2,1,1,2] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,3},{2},{4},{5},{6}} => [2,1,1,1,1] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
{{1,4},{2,3},{5,6}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2,3},{5},{6}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,5},{2,3},{4,6}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2,3},{4},{6}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,6},{2,3},{4,5}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,3},{4,5},{6}} => [1,2,2,1] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
{{1,6},{2,3},{4},{5}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1},{2,3},{4,6},{5}} => [1,2,2,1] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2,3},{4},{5,6}} => [1,2,1,2] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2,3},{4},{5},{6}} => [1,2,1,1,1] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
{{1,4},{2,5},{3,6}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2,5},{3},{6}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,4},{2,6},{3,5}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2},{3,5},{6}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1,4},{2,6},{3},{5}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,4},{2},{3,6},{5}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1,4},{2},{3},{5,6}} => [2,1,1,2] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,4},{2},{3},{5},{6}} => [2,1,1,1,1] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
{{1,5},{2,4},{3,6}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2,4},{3},{6}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,6},{2,4},{3,5}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,4},{3,5},{6}} => [1,2,2,1] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
{{1,6},{2,4},{3},{5}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1},{2,4},{3,6},{5}} => [1,2,2,1] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2,4},{3},{5,6}} => [1,2,1,2] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2,4},{3},{5},{6}} => [1,2,1,1,1] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
{{1,5},{2,6},{3,4}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2},{3,4},{6}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1,6},{2,5},{3,4}} => [2,2,2] => [1,2,2,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,5},{3,4},{6}} => [1,2,2,1] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
{{1,6},{2},{3,4},{5}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1},{2,6},{3,4},{5}} => [1,2,2,1] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2},{3,4},{5,6}} => [1,1,2,2] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1},{2},{3,4},{5},{6}} => [1,1,2,1,1] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
{{1,5},{2,6},{3},{4}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1,5},{2},{3,6},{4}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1,5},{2},{3},{4,6}} => [2,1,1,2] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,5},{2},{3},{4},{6}} => [2,1,1,1,1] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
>>> Load all 351 entries. <<<
{{1,6},{2,5},{3},{4}} => [2,2,1,1] => [3,2,1] => [1,1,1,0,0,0,1,1,0,0,1,0] => 3
{{1},{2,5},{3,6},{4}} => [1,2,2,1] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2,5},{3},{4,6}} => [1,2,1,2] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2,5},{3},{4},{6}} => [1,2,1,1,1] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
{{1,6},{2},{3,5},{4}} => [2,1,2,1] => [2,3,1] => [1,1,0,0,1,1,1,0,0,0,1,0] => 4
{{1},{2,6},{3,5},{4}} => [1,2,2,1] => [2,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2},{3,5},{4,6}} => [1,1,2,2] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1},{2},{3,5},{4},{6}} => [1,1,2,1,1] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
{{1,6},{2},{3},{4,5}} => [2,1,1,2] => [1,4,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1},{2,6},{3},{4,5}} => [1,2,1,2] => [1,3,2] => [1,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2},{3,6},{4,5}} => [1,1,2,2] => [1,2,3] => [1,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1},{2},{3},{4,5},{6}} => [1,1,1,2,1] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
{{1,6},{2},{3},{4},{5}} => [2,1,1,1,1] => [5,1] => [1,1,1,1,1,0,0,0,0,0,1,0] => 1
{{1},{2,6},{3},{4},{5}} => [1,2,1,1,1] => [4,2] => [1,1,1,1,0,0,0,0,1,1,0,0] => 2
{{1},{2},{3,6},{4},{5}} => [1,1,2,1,1] => [3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
{{1},{2},{3},{4,6},{5}} => [1,1,1,2,1] => [2,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 4
{{1},{2},{3},{4},{5,6}} => [1,1,1,1,2] => [1,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
{{1},{2},{3},{4},{5},{6}} => [1,1,1,1,1,1] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0] => 0
{{1,2},{3,4},{5,6},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3,4},{5,7},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3,4},{5},{6,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,2},{3,4},{5},{6},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,2},{3,5},{4,6},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3,5},{4,7},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3,5},{4},{6,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,2},{3,5},{4},{6},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,2},{3,6},{4,5},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3,7},{4,5},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3},{4,5},{6,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,2},{3},{4,5},{6},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,2},{3,6},{4,7},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3,6},{4},{5,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,2},{3,6},{4},{5},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,2},{3,7},{4,6},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,2},{3},{4,6},{5,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,2},{3},{4,6},{5},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,2},{3,7},{4},{5,6}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,2},{3},{4,7},{5,6}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,2},{3},{4},{5,6},{7}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,2},{3,7},{4},{5},{6}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,2},{3},{4,7},{5},{6}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,2},{3},{4},{5,7},{6}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,2},{3},{4},{5},{6,7}} => [2,1,1,1,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6
{{1,2},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
{{1,3},{2,4},{5,6},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2,4},{5,7},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2,4},{5},{6,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,3},{2,4},{5},{6},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,3},{2,5},{4,6},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2,5},{4,7},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2,5},{4},{6,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,3},{2,5},{4},{6},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,3},{2,6},{4,5},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2,7},{4,5},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2},{4,5},{6,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,3},{2},{4,5},{6},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,3},{2,6},{4,7},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2,6},{4},{5,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,3},{2,6},{4},{5},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,3},{2,7},{4,6},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,3},{2},{4,6},{5,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,3},{2},{4,6},{5},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,3},{2,7},{4},{5,6}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,3},{2},{4,7},{5,6}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,3},{2},{4},{5,6},{7}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,3},{2,7},{4},{5},{6}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,3},{2},{4,7},{5},{6}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,3},{2},{4},{5,7},{6}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,3},{2},{4},{5},{6,7}} => [2,1,1,1,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6
{{1,3},{2},{4},{5},{6},{7}} => [2,1,1,1,1,1] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
{{1,4},{2,3},{5,6},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2,3},{5,7},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2,3},{5},{6,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,4},{2,3},{5},{6},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,5},{2,3},{4,6},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2,3},{4,7},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2,3},{4},{6,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,5},{2,3},{4},{6},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,6},{2,3},{4,5},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,7},{2,3},{4,5},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,3},{4,5},{6,7}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,3},{4,5},{6},{7}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1,6},{2,3},{4,7},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,6},{2,3},{4},{5,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,6},{2,3},{4},{5},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,7},{2,3},{4,6},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,3},{4,6},{5,7}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,3},{4,6},{5},{7}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1,7},{2,3},{4},{5,6}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1},{2,3},{4,7},{5,6}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,3},{4},{5,6},{7}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1,7},{2,3},{4},{5},{6}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1},{2,3},{4,7},{5},{6}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2,3},{4},{5,7},{6}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2,3},{4},{5},{6,7}} => [1,2,1,1,2] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
{{1},{2,3},{4},{5},{6},{7}} => [1,2,1,1,1,1] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
{{1,4},{2,5},{3,6},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2,5},{3,7},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2,5},{3},{6,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,4},{2,5},{3},{6},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,4},{2,6},{3,5},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2,7},{3,5},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2},{3,5},{6,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,4},{2},{3,5},{6},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,4},{2,6},{3,7},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2,6},{3},{5,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,4},{2,6},{3},{5},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,4},{2,7},{3,6},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,4},{2},{3,6},{5,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,4},{2},{3,6},{5},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,4},{2,7},{3},{5,6}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,4},{2},{3,7},{5,6}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,4},{2},{3},{5,6},{7}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,4},{2,7},{3},{5},{6}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,4},{2},{3,7},{5},{6}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,4},{2},{3},{5,7},{6}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,4},{2},{3},{5},{6,7}} => [2,1,1,1,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6
{{1,4},{2},{3},{5},{6},{7}} => [2,1,1,1,1,1] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
{{1,5},{2,4},{3,6},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2,4},{3,7},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2,4},{3},{6,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,5},{2,4},{3},{6},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,6},{2,4},{3,5},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,7},{2,4},{3,5},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,4},{3,5},{6,7}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,4},{3,5},{6},{7}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1,6},{2,4},{3,7},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,6},{2,4},{3},{5,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,6},{2,4},{3},{5},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,7},{2,4},{3,6},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,4},{3,6},{5,7}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,4},{3,6},{5},{7}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1,7},{2,4},{3},{5,6}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1},{2,4},{3,7},{5,6}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,4},{3},{5,6},{7}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1,7},{2,4},{3},{5},{6}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1},{2,4},{3,7},{5},{6}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2,4},{3},{5,7},{6}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2,4},{3},{5},{6,7}} => [1,2,1,1,2] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
{{1},{2,4},{3},{5},{6},{7}} => [1,2,1,1,1,1] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
{{1,5},{2,6},{3,4},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2,7},{3,4},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2},{3,4},{6,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,5},{2},{3,4},{6},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,6},{2,5},{3,4},{7}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,7},{2,5},{3,4},{6}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,5},{3,4},{6,7}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,5},{3,4},{6},{7}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1,6},{2,7},{3,4},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,6},{2},{3,4},{5,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,6},{2},{3,4},{5},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,7},{2,6},{3,4},{5}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,6},{3,4},{5,7}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,6},{3,4},{5},{7}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1,7},{2},{3,4},{5,6}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1},{2,7},{3,4},{5,6}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2},{3,4},{5,6},{7}} => [1,1,2,2,1] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1,7},{2},{3,4},{5},{6}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1},{2,7},{3,4},{5},{6}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2},{3,4},{5,7},{6}} => [1,1,2,2,1] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1},{2},{3,4},{5},{6,7}} => [1,1,2,1,2] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6
{{1},{2},{3,4},{5},{6},{7}} => [1,1,2,1,1,1] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3
{{1,5},{2,6},{3,7},{4}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2,6},{3},{4,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,5},{2,6},{3},{4},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,5},{2,7},{3,6},{4}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,5},{2},{3,6},{4,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,5},{2},{3,6},{4},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,5},{2,7},{3},{4,6}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,5},{2},{3,7},{4,6}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,5},{2},{3},{4,6},{7}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,5},{2,7},{3},{4},{6}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,5},{2},{3,7},{4},{6}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,5},{2},{3},{4,7},{6}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,5},{2},{3},{4},{6,7}} => [2,1,1,1,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6
{{1,5},{2},{3},{4},{6},{7}} => [2,1,1,1,1,1] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
{{1,6},{2,5},{3,7},{4}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,6},{2,5},{3},{4,7}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,6},{2,5},{3},{4},{7}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,7},{2,5},{3,6},{4}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,5},{3,6},{4,7}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,5},{3,6},{4},{7}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1,7},{2,5},{3},{4,6}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1},{2,5},{3,7},{4,6}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,5},{3},{4,6},{7}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1,7},{2,5},{3},{4},{6}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1},{2,5},{3,7},{4},{6}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2,5},{3},{4,7},{6}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2,5},{3},{4},{6,7}} => [1,2,1,1,2] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
{{1},{2,5},{3},{4},{6},{7}} => [1,2,1,1,1,1] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
{{1,6},{2,7},{3,5},{4}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1,6},{2},{3,5},{4,7}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,6},{2},{3,5},{4},{7}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,7},{2,6},{3,5},{4}} => [2,2,2,1] => [2,2,2,1] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 5
{{1},{2,6},{3,5},{4,7}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,6},{3,5},{4},{7}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1,7},{2},{3,5},{4,6}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1},{2,7},{3,5},{4,6}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2},{3,5},{4,6},{7}} => [1,1,2,2,1] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1,7},{2},{3,5},{4},{6}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1},{2,7},{3,5},{4},{6}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2},{3,5},{4,7},{6}} => [1,1,2,2,1] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1},{2},{3,5},{4},{6,7}} => [1,1,2,1,2] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6
{{1},{2},{3,5},{4},{6},{7}} => [1,1,2,1,1,1] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3
{{1,6},{2,7},{3},{4,5}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1,6},{2},{3,7},{4,5}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1,6},{2},{3},{4,5},{7}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,7},{2,6},{3},{4,5}} => [2,2,1,2] => [1,3,2,1] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 6
{{1},{2,6},{3,7},{4,5}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2,6},{3},{4,5},{7}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1,7},{2},{3,6},{4,5}} => [2,1,2,2] => [1,2,3,1] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 6
{{1},{2,7},{3,6},{4,5}} => [1,2,2,2] => [1,2,2,2] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 6
{{1},{2},{3,6},{4,5},{7}} => [1,1,2,2,1] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1,7},{2},{3},{4,5},{6}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1},{2,7},{3},{4,5},{6}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2},{3,7},{4,5},{6}} => [1,1,2,2,1] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1},{2},{3},{4,5},{6,7}} => [1,1,1,2,2] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
{{1},{2},{3},{4,5},{6},{7}} => [1,1,1,2,1,1] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
{{1,6},{2,7},{3},{4},{5}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1,6},{2},{3,7},{4},{5}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1,6},{2},{3},{4,7},{5}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1,6},{2},{3},{4},{5,7}} => [2,1,1,1,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6
{{1,6},{2},{3},{4},{5},{7}} => [2,1,1,1,1,1] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
{{1,7},{2,6},{3},{4},{5}} => [2,2,1,1,1] => [4,2,1] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 3
{{1},{2,6},{3,7},{4},{5}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2,6},{3},{4,7},{5}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2,6},{3},{4},{5,7}} => [1,2,1,1,2] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
{{1},{2,6},{3},{4},{5},{7}} => [1,2,1,1,1,1] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
{{1,7},{2},{3,6},{4},{5}} => [2,1,2,1,1] => [3,3,1] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 4
{{1},{2,7},{3,6},{4},{5}} => [1,2,2,1,1] => [3,2,2] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 4
{{1},{2},{3,6},{4,7},{5}} => [1,1,2,2,1] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1},{2},{3,6},{4},{5,7}} => [1,1,2,1,2] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6
{{1},{2},{3,6},{4},{5},{7}} => [1,1,2,1,1,1] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3
{{1,7},{2},{3},{4,6},{5}} => [2,1,1,2,1] => [2,4,1] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 5
{{1},{2,7},{3},{4,6},{5}} => [1,2,1,2,1] => [2,3,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 5
{{1},{2},{3,7},{4,6},{5}} => [1,1,2,2,1] => [2,2,3] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 5
{{1},{2},{3},{4,6},{5,7}} => [1,1,1,2,2] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
{{1},{2},{3},{4,6},{5},{7}} => [1,1,1,2,1,1] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
{{1,7},{2},{3},{4},{5,6}} => [2,1,1,1,2] => [1,5,1] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 6
{{1},{2,7},{3},{4},{5,6}} => [1,2,1,1,2] => [1,4,2] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 6
{{1},{2},{3,7},{4},{5,6}} => [1,1,2,1,2] => [1,3,3] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 6
{{1},{2},{3},{4,7},{5,6}} => [1,1,1,2,2] => [1,2,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 6
{{1},{2},{3},{4},{5,6},{7}} => [1,1,1,1,2,1] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5
{{1,7},{2},{3},{4},{5},{6}} => [2,1,1,1,1,1] => [6,1] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 1
{{1},{2,7},{3},{4},{5},{6}} => [1,2,1,1,1,1] => [5,2] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 2
{{1},{2},{3,7},{4},{5},{6}} => [1,1,2,1,1,1] => [4,3] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 3
{{1},{2},{3},{4,7},{5},{6}} => [1,1,1,2,1,1] => [3,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 4
{{1},{2},{3},{4},{5,7},{6}} => [1,1,1,1,2,1] => [2,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 5
{{1},{2},{3},{4},{5},{6,7}} => [1,1,1,1,1,2] => [1,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
{{1},{2},{3},{4},{5},{6},{7}} => [1,1,1,1,1,1,1] => [7] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
The number of indecomposable modules with projective dimension 2 for Nakayama algebras with global dimension at most 2.
Map
bounce path
Description
The bounce path determined by an integer composition.
Map
conjugate
Description
The conjugate of a composition.
The conjugate of a composition $C$ is defined as the complement (Mp00039complement) of the reversal (Mp00038reverse) of $C$.
Equivalently, the ribbon shape corresponding to the conjugate of $C$ is the conjugate of the ribbon shape of $C$.
Map
to composition
Description
The integer composition of block sizes of a set partition.
For a set partition of $\{1,2,\dots,n\}$, this is the integer composition of $n$ obtained by sorting the blocks by their minimal element and then taking the block sizes.