Identifier
-
Mp00164:
Set partitions
—Chen Deng Du Stanley Yan⟶
Set partitions
St000253: Set partitions ⟶ ℤ
Values
{{1,2}} => {{1,2}} => 1
{{1},{2}} => {{1},{2}} => 0
{{1,2,3}} => {{1,2,3}} => 1
{{1,2},{3}} => {{1,2},{3}} => 1
{{1,3},{2}} => {{1,3},{2}} => 1
{{1},{2,3}} => {{1},{2,3}} => 1
{{1},{2},{3}} => {{1},{2},{3}} => 0
{{1,2,3,4}} => {{1,2,3,4}} => 1
{{1,2,3},{4}} => {{1,2,3},{4}} => 1
{{1,2,4},{3}} => {{1,2,4},{3}} => 1
{{1,2},{3,4}} => {{1,2},{3,4}} => 1
{{1,2},{3},{4}} => {{1,2},{3},{4}} => 1
{{1,3,4},{2}} => {{1,3,4},{2}} => 1
{{1,3},{2,4}} => {{1,4},{2,3}} => 1
{{1,3},{2},{4}} => {{1,3},{2},{4}} => 1
{{1,4},{2,3}} => {{1,3},{2,4}} => 2
{{1},{2,3,4}} => {{1},{2,3,4}} => 1
{{1},{2,3},{4}} => {{1},{2,3},{4}} => 1
{{1,4},{2},{3}} => {{1,4},{2},{3}} => 1
{{1},{2,4},{3}} => {{1},{2,4},{3}} => 1
{{1},{2},{3,4}} => {{1},{2},{3,4}} => 1
{{1},{2},{3},{4}} => {{1},{2},{3},{4}} => 0
{{1,2,3,4,5}} => {{1,2,3,4,5}} => 1
{{1,2,3,4},{5}} => {{1,2,3,4},{5}} => 1
{{1,2,3,5},{4}} => {{1,2,3,5},{4}} => 1
{{1,2,3},{4,5}} => {{1,2,3},{4,5}} => 1
{{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} => 1
{{1,2,4,5},{3}} => {{1,2,4,5},{3}} => 1
{{1,2,4},{3,5}} => {{1,2,5},{3,4}} => 1
{{1,2,4},{3},{5}} => {{1,2,4},{3},{5}} => 1
{{1,2,5},{3,4}} => {{1,2,4},{3,5}} => 2
{{1,2},{3,4,5}} => {{1,2},{3,4,5}} => 1
{{1,2},{3,4},{5}} => {{1,2},{3,4},{5}} => 1
{{1,2,5},{3},{4}} => {{1,2,5},{3},{4}} => 1
{{1,2},{3,5},{4}} => {{1,2},{3,5},{4}} => 1
{{1,2},{3},{4,5}} => {{1,2},{3},{4,5}} => 1
{{1,2},{3},{4},{5}} => {{1,2},{3},{4},{5}} => 1
{{1,3,4,5},{2}} => {{1,3,4,5},{2}} => 1
{{1,3,4},{2,5}} => {{1,4},{2,3,5}} => 2
{{1,3,4},{2},{5}} => {{1,3,4},{2},{5}} => 1
{{1,3,5},{2,4}} => {{1,5},{2,3,4}} => 1
{{1,3},{2,4,5}} => {{1,4,5},{2,3}} => 1
{{1,3},{2,4},{5}} => {{1,4},{2,3},{5}} => 1
{{1,3,5},{2},{4}} => {{1,3,5},{2},{4}} => 1
{{1,3},{2,5},{4}} => {{1,5},{2,3},{4}} => 1
{{1,3},{2},{4,5}} => {{1,3},{2},{4,5}} => 1
{{1,3},{2},{4},{5}} => {{1,3},{2},{4},{5}} => 1
{{1,4,5},{2,3}} => {{1,3},{2,4,5}} => 2
{{1,4},{2,3,5}} => {{1,3,4},{2,5}} => 2
{{1,4},{2,3},{5}} => {{1,3},{2,4},{5}} => 2
{{1,5},{2,3,4}} => {{1,3,5},{2,4}} => 2
{{1},{2,3,4,5}} => {{1},{2,3,4,5}} => 1
{{1},{2,3,4},{5}} => {{1},{2,3,4},{5}} => 1
{{1,5},{2,3},{4}} => {{1,3},{2,5},{4}} => 2
{{1},{2,3,5},{4}} => {{1},{2,3,5},{4}} => 1
{{1},{2,3},{4,5}} => {{1},{2,3},{4,5}} => 1
{{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}} => 1
{{1,4,5},{2},{3}} => {{1,4,5},{2},{3}} => 1
{{1,4},{2,5},{3}} => {{1,5},{2,4},{3}} => 1
{{1,4},{2},{3,5}} => {{1,5},{2},{3,4}} => 1
{{1,4},{2},{3},{5}} => {{1,4},{2},{3},{5}} => 1
{{1,5},{2,4},{3}} => {{1,4},{2,5},{3}} => 2
{{1},{2,4,5},{3}} => {{1},{2,4,5},{3}} => 1
{{1},{2,4},{3,5}} => {{1},{2,5},{3,4}} => 1
{{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => 1
{{1,5},{2},{3,4}} => {{1,4},{2},{3,5}} => 2
{{1},{2,5},{3,4}} => {{1},{2,4},{3,5}} => 2
{{1},{2},{3,4,5}} => {{1},{2},{3,4,5}} => 1
{{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}} => 1
{{1,5},{2},{3},{4}} => {{1,5},{2},{3},{4}} => 1
{{1},{2,5},{3},{4}} => {{1},{2,5},{3},{4}} => 1
{{1},{2},{3,5},{4}} => {{1},{2},{3,5},{4}} => 1
{{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}} => 1
{{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} => 0
{{1,2,3,4,5,6}} => {{1,2,3,4,5,6}} => 1
{{1,2,3,4,5},{6}} => {{1,2,3,4,5},{6}} => 1
{{1,2,3,4,6},{5}} => {{1,2,3,4,6},{5}} => 1
{{1,2,3,4},{5,6}} => {{1,2,3,4},{5,6}} => 1
{{1,2,3,4},{5},{6}} => {{1,2,3,4},{5},{6}} => 1
{{1,2,3,5,6},{4}} => {{1,2,3,5,6},{4}} => 1
{{1,2,3,5},{4,6}} => {{1,2,3,6},{4,5}} => 1
{{1,2,3,5},{4},{6}} => {{1,2,3,5},{4},{6}} => 1
{{1,2,3,6},{4,5}} => {{1,2,3,5},{4,6}} => 2
{{1,2,3},{4,5,6}} => {{1,2,3},{4,5,6}} => 1
{{1,2,3},{4,5},{6}} => {{1,2,3},{4,5},{6}} => 1
{{1,2,3,6},{4},{5}} => {{1,2,3,6},{4},{5}} => 1
{{1,2,3},{4,6},{5}} => {{1,2,3},{4,6},{5}} => 1
{{1,2,3},{4},{5,6}} => {{1,2,3},{4},{5,6}} => 1
{{1,2,3},{4},{5},{6}} => {{1,2,3},{4},{5},{6}} => 1
{{1,2,4,5,6},{3}} => {{1,2,4,5,6},{3}} => 1
{{1,2,4,5},{3,6}} => {{1,2,5},{3,4,6}} => 2
{{1,2,4,5},{3},{6}} => {{1,2,4,5},{3},{6}} => 1
{{1,2,4,6},{3,5}} => {{1,2,6},{3,4,5}} => 1
{{1,2,4},{3,5,6}} => {{1,2,5,6},{3,4}} => 1
{{1,2,4},{3,5},{6}} => {{1,2,5},{3,4},{6}} => 1
{{1,2,4,6},{3},{5}} => {{1,2,4,6},{3},{5}} => 1
{{1,2,4},{3,6},{5}} => {{1,2,6},{3,4},{5}} => 1
{{1,2,4},{3},{5,6}} => {{1,2,4},{3},{5,6}} => 1
{{1,2,4},{3},{5},{6}} => {{1,2,4},{3},{5},{6}} => 1
{{1,2,5,6},{3,4}} => {{1,2,4},{3,5,6}} => 2
{{1,2,5},{3,4,6}} => {{1,2,4,5},{3,6}} => 2
>>> Load all 1200 entries. <<<{{1,2,5},{3,4},{6}} => {{1,2,4},{3,5},{6}} => 2
{{1,2,6},{3,4,5}} => {{1,2,4,6},{3,5}} => 2
{{1,2},{3,4,5,6}} => {{1,2},{3,4,5,6}} => 1
{{1,2},{3,4,5},{6}} => {{1,2},{3,4,5},{6}} => 1
{{1,2,6},{3,4},{5}} => {{1,2,4},{3,6},{5}} => 2
{{1,2},{3,4,6},{5}} => {{1,2},{3,4,6},{5}} => 1
{{1,2},{3,4},{5,6}} => {{1,2},{3,4},{5,6}} => 1
{{1,2},{3,4},{5},{6}} => {{1,2},{3,4},{5},{6}} => 1
{{1,2,5,6},{3},{4}} => {{1,2,5,6},{3},{4}} => 1
{{1,2,5},{3,6},{4}} => {{1,2,6},{3,5},{4}} => 1
{{1,2,5},{3},{4,6}} => {{1,2,6},{3},{4,5}} => 1
{{1,2,5},{3},{4},{6}} => {{1,2,5},{3},{4},{6}} => 1
{{1,2,6},{3,5},{4}} => {{1,2,5},{3,6},{4}} => 2
{{1,2},{3,5,6},{4}} => {{1,2},{3,5,6},{4}} => 1
{{1,2},{3,5},{4,6}} => {{1,2},{3,6},{4,5}} => 1
{{1,2},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6}} => 1
{{1,2,6},{3},{4,5}} => {{1,2,5},{3},{4,6}} => 2
{{1,2},{3,6},{4,5}} => {{1,2},{3,5},{4,6}} => 2
{{1,2},{3},{4,5,6}} => {{1,2},{3},{4,5,6}} => 1
{{1,2},{3},{4,5},{6}} => {{1,2},{3},{4,5},{6}} => 1
{{1,2,6},{3},{4},{5}} => {{1,2,6},{3},{4},{5}} => 1
{{1,2},{3,6},{4},{5}} => {{1,2},{3,6},{4},{5}} => 1
{{1,2},{3},{4,6},{5}} => {{1,2},{3},{4,6},{5}} => 1
{{1,2},{3},{4},{5,6}} => {{1,2},{3},{4},{5,6}} => 1
{{1,2},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
{{1,3,4,5,6},{2}} => {{1,3,4,5,6},{2}} => 1
{{1,3,4,5},{2,6}} => {{1,4,6},{2,3,5}} => 2
{{1,3,4,5},{2},{6}} => {{1,3,4,5},{2},{6}} => 1
{{1,3,4,6},{2,5}} => {{1,4,5},{2,3,6}} => 2
{{1,3,4},{2,5,6}} => {{1,4},{2,3,5,6}} => 2
{{1,3,4},{2,5},{6}} => {{1,4},{2,3,5},{6}} => 2
{{1,3,4,6},{2},{5}} => {{1,3,4,6},{2},{5}} => 1
{{1,3,4},{2,6},{5}} => {{1,4},{2,3,6},{5}} => 2
{{1,3,4},{2},{5,6}} => {{1,3,4},{2},{5,6}} => 1
{{1,3,4},{2},{5},{6}} => {{1,3,4},{2},{5},{6}} => 1
{{1,3,5,6},{2,4}} => {{1,5,6},{2,3,4}} => 1
{{1,3,5},{2,4,6}} => {{1,6},{2,3,4,5}} => 1
{{1,3,5},{2,4},{6}} => {{1,5},{2,3,4},{6}} => 1
{{1,3,6},{2,4,5}} => {{1,5},{2,3,4,6}} => 2
{{1,3},{2,4,5,6}} => {{1,4,5,6},{2,3}} => 1
{{1,3},{2,4,5},{6}} => {{1,4,5},{2,3},{6}} => 1
{{1,3,6},{2,4},{5}} => {{1,6},{2,3,4},{5}} => 1
{{1,3},{2,4,6},{5}} => {{1,4,6},{2,3},{5}} => 1
{{1,3},{2,4},{5,6}} => {{1,4},{2,3},{5,6}} => 1
{{1,3},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6}} => 1
{{1,3,5,6},{2},{4}} => {{1,3,5,6},{2},{4}} => 1
{{1,3,5},{2,6},{4}} => {{1,5},{2,3,6},{4}} => 2
{{1,3,5},{2},{4,6}} => {{1,3,6},{2},{4,5}} => 1
{{1,3,5},{2},{4},{6}} => {{1,3,5},{2},{4},{6}} => 1
{{1,3,6},{2,5},{4}} => {{1,6},{2,3,5},{4}} => 1
{{1,3},{2,5,6},{4}} => {{1,5,6},{2,3},{4}} => 1
{{1,3},{2,5},{4,6}} => {{1,6},{2,3},{4,5}} => 1
{{1,3},{2,5},{4},{6}} => {{1,5},{2,3},{4},{6}} => 1
{{1,3,6},{2},{4,5}} => {{1,3,5},{2},{4,6}} => 2
{{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} => 2
{{1,3},{2},{4,5,6}} => {{1,3},{2},{4,5,6}} => 1
{{1,3},{2},{4,5},{6}} => {{1,3},{2},{4,5},{6}} => 1
{{1,3,6},{2},{4},{5}} => {{1,3,6},{2},{4},{5}} => 1
{{1,3},{2,6},{4},{5}} => {{1,6},{2,3},{4},{5}} => 1
{{1,3},{2},{4,6},{5}} => {{1,3},{2},{4,6},{5}} => 1
{{1,3},{2},{4},{5,6}} => {{1,3},{2},{4},{5,6}} => 1
{{1,3},{2},{4},{5},{6}} => {{1,3},{2},{4},{5},{6}} => 1
{{1,4,5,6},{2,3}} => {{1,3},{2,4,5,6}} => 2
{{1,4,5},{2,3,6}} => {{1,3,4,6},{2,5}} => 2
{{1,4,5},{2,3},{6}} => {{1,3},{2,4,5},{6}} => 2
{{1,4,6},{2,3,5}} => {{1,3,4,5},{2,6}} => 2
{{1,4},{2,3,5,6}} => {{1,3,4},{2,5,6}} => 2
{{1,4},{2,3,5},{6}} => {{1,3,4},{2,5},{6}} => 2
{{1,4,6},{2,3},{5}} => {{1,3},{2,4,6},{5}} => 2
{{1,4},{2,3,6},{5}} => {{1,3,4},{2,6},{5}} => 2
{{1,4},{2,3},{5,6}} => {{1,3},{2,4},{5,6}} => 2
{{1,4},{2,3},{5},{6}} => {{1,3},{2,4},{5},{6}} => 2
{{1,5,6},{2,3,4}} => {{1,3,5,6},{2,4}} => 2
{{1,5},{2,3,4,6}} => {{1,3,6},{2,4,5}} => 2
{{1,5},{2,3,4},{6}} => {{1,3,5},{2,4},{6}} => 2
{{1,6},{2,3,4,5}} => {{1,3,5},{2,4,6}} => 2
{{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}} => 1
{{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}} => 1
{{1,6},{2,3,4},{5}} => {{1,3,6},{2,4},{5}} => 2
{{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}} => 1
{{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}} => 1
{{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}} => 1
{{1,5,6},{2,3},{4}} => {{1,3},{2,5,6},{4}} => 2
{{1,5},{2,3,6},{4}} => {{1,3,5},{2,6},{4}} => 2
{{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} => 2
{{1,5},{2,3},{4},{6}} => {{1,3},{2,5},{4},{6}} => 2
{{1,6},{2,3,5},{4}} => {{1,3,6},{2,5},{4}} => 2
{{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}} => 1
{{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}} => 1
{{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}} => 1
{{1,6},{2,3},{4,5}} => {{1,3},{2,5},{4,6}} => 2
{{1},{2,3,6},{4,5}} => {{1},{2,3,5},{4,6}} => 2
{{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}} => 1
{{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}} => 1
{{1,6},{2,3},{4},{5}} => {{1,3},{2,6},{4},{5}} => 2
{{1},{2,3,6},{4},{5}} => {{1},{2,3,6},{4},{5}} => 1
{{1},{2,3},{4,6},{5}} => {{1},{2,3},{4,6},{5}} => 1
{{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}} => 1
{{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}} => 1
{{1,4,5,6},{2},{3}} => {{1,4,5,6},{2},{3}} => 1
{{1,4,5},{2,6},{3}} => {{1,5},{2,4,6},{3}} => 2
{{1,4,5},{2},{3,6}} => {{1,5},{2},{3,4,6}} => 2
{{1,4,5},{2},{3},{6}} => {{1,4,5},{2},{3},{6}} => 1
{{1,4,6},{2,5},{3}} => {{1,6},{2,4,5},{3}} => 1
{{1,4},{2,5,6},{3}} => {{1,5,6},{2,4},{3}} => 1
{{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => 1
{{1,4},{2,5},{3},{6}} => {{1,5},{2,4},{3},{6}} => 1
{{1,4,6},{2},{3,5}} => {{1,6},{2},{3,4,5}} => 1
{{1,4},{2,6},{3,5}} => {{1,5},{2,4},{3,6}} => 2
{{1,4},{2},{3,5,6}} => {{1,5,6},{2},{3,4}} => 1
{{1,4},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6}} => 1
{{1,4,6},{2},{3},{5}} => {{1,4,6},{2},{3},{5}} => 1
{{1,4},{2,6},{3},{5}} => {{1,6},{2,4},{3},{5}} => 1
{{1,4},{2},{3,6},{5}} => {{1,6},{2},{3,4},{5}} => 1
{{1,4},{2},{3},{5,6}} => {{1,4},{2},{3},{5,6}} => 1
{{1,4},{2},{3},{5},{6}} => {{1,4},{2},{3},{5},{6}} => 1
{{1,5,6},{2,4},{3}} => {{1,4},{2,5,6},{3}} => 2
{{1,5},{2,4,6},{3}} => {{1,4,5},{2,6},{3}} => 2
{{1,5},{2,4},{3,6}} => {{1,4},{2,6},{3,5}} => 2
{{1,5},{2,4},{3},{6}} => {{1,4},{2,5},{3},{6}} => 2
{{1,6},{2,4,5},{3}} => {{1,4,6},{2,5},{3}} => 2
{{1},{2,4,5,6},{3}} => {{1},{2,4,5,6},{3}} => 1
{{1},{2,4,5},{3,6}} => {{1},{2,5},{3,4,6}} => 2
{{1},{2,4,5},{3},{6}} => {{1},{2,4,5},{3},{6}} => 1
{{1,6},{2,4},{3,5}} => {{1,5},{2,6},{3,4}} => 2
{{1},{2,4,6},{3,5}} => {{1},{2,6},{3,4,5}} => 1
{{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}} => 1
{{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}} => 1
{{1,6},{2,4},{3},{5}} => {{1,4},{2,6},{3},{5}} => 2
{{1},{2,4,6},{3},{5}} => {{1},{2,4,6},{3},{5}} => 1
{{1},{2,4},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => 1
{{1},{2,4},{3},{5,6}} => {{1},{2,4},{3},{5,6}} => 1
{{1},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6}} => 1
{{1,5,6},{2},{3,4}} => {{1,4},{2},{3,5,6}} => 2
{{1,5},{2,6},{3,4}} => {{1,6},{2,4},{3,5}} => 2
{{1,5},{2},{3,4,6}} => {{1,4,5},{2},{3,6}} => 2
{{1,5},{2},{3,4},{6}} => {{1,4},{2},{3,5},{6}} => 2
{{1,6},{2,5},{3,4}} => {{1,4},{2,5},{3,6}} => 3
{{1},{2,5,6},{3,4}} => {{1},{2,4},{3,5,6}} => 2
{{1},{2,5},{3,4,6}} => {{1},{2,4,5},{3,6}} => 2
{{1},{2,5},{3,4},{6}} => {{1},{2,4},{3,5},{6}} => 2
{{1,6},{2},{3,4,5}} => {{1,4,6},{2},{3,5}} => 2
{{1},{2,6},{3,4,5}} => {{1},{2,4,6},{3,5}} => 2
{{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}} => 1
{{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}} => 1
{{1,6},{2},{3,4},{5}} => {{1,4},{2},{3,6},{5}} => 2
{{1},{2,6},{3,4},{5}} => {{1},{2,4},{3,6},{5}} => 2
{{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}} => 1
{{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}} => 1
{{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}} => 1
{{1,5,6},{2},{3},{4}} => {{1,5,6},{2},{3},{4}} => 1
{{1,5},{2,6},{3},{4}} => {{1,6},{2,5},{3},{4}} => 1
{{1,5},{2},{3,6},{4}} => {{1,6},{2},{3,5},{4}} => 1
{{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => 1
{{1,5},{2},{3},{4},{6}} => {{1,5},{2},{3},{4},{6}} => 1
{{1,6},{2,5},{3},{4}} => {{1,5},{2,6},{3},{4}} => 2
{{1},{2,5,6},{3},{4}} => {{1},{2,5,6},{3},{4}} => 1
{{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => 1
{{1},{2,5},{3},{4,6}} => {{1},{2,6},{3},{4,5}} => 1
{{1},{2,5},{3},{4},{6}} => {{1},{2,5},{3},{4},{6}} => 1
{{1,6},{2},{3,5},{4}} => {{1,5},{2},{3,6},{4}} => 2
{{1},{2,6},{3,5},{4}} => {{1},{2,5},{3,6},{4}} => 2
{{1},{2},{3,5,6},{4}} => {{1},{2},{3,5,6},{4}} => 1
{{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}} => 1
{{1},{2},{3,5},{4},{6}} => {{1},{2},{3,5},{4},{6}} => 1
{{1,6},{2},{3},{4,5}} => {{1,5},{2},{3},{4,6}} => 2
{{1},{2,6},{3},{4,5}} => {{1},{2,5},{3},{4,6}} => 2
{{1},{2},{3,6},{4,5}} => {{1},{2},{3,5},{4,6}} => 2
{{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}} => 1
{{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}} => 1
{{1,6},{2},{3},{4},{5}} => {{1,6},{2},{3},{4},{5}} => 1
{{1},{2,6},{3},{4},{5}} => {{1},{2,6},{3},{4},{5}} => 1
{{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} => 1
{{1},{2},{3},{4,6},{5}} => {{1},{2},{3},{4,6},{5}} => 1
{{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}} => 1
{{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}} => 0
{{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}} => 1
{{1,2,3,4,5,6},{7}} => {{1,2,3,4,5,6},{7}} => 1
{{1,2,3,4,5,7},{6}} => {{1,2,3,4,5,7},{6}} => 1
{{1,2,3,4,5},{6,7}} => {{1,2,3,4,5},{6,7}} => 1
{{1,2,3,4,5},{6},{7}} => {{1,2,3,4,5},{6},{7}} => 1
{{1,2,3,4,6,7},{5}} => {{1,2,3,4,6,7},{5}} => 1
{{1,2,3,4,6},{5,7}} => {{1,2,3,4,7},{5,6}} => 1
{{1,2,3,4,6},{5},{7}} => {{1,2,3,4,6},{5},{7}} => 1
{{1,2,3,4,7},{5,6}} => {{1,2,3,4,6},{5,7}} => 2
{{1,2,3,4},{5,6,7}} => {{1,2,3,4},{5,6,7}} => 1
{{1,2,3,4},{5,6},{7}} => {{1,2,3,4},{5,6},{7}} => 1
{{1,2,3,4,7},{5},{6}} => {{1,2,3,4,7},{5},{6}} => 1
{{1,2,3,4},{5,7},{6}} => {{1,2,3,4},{5,7},{6}} => 1
{{1,2,3,4},{5},{6,7}} => {{1,2,3,4},{5},{6,7}} => 1
{{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => 1
{{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}} => 1
{{1,2,3,5,6},{4,7}} => {{1,2,3,6},{4,5,7}} => 2
{{1,2,3,5,6},{4},{7}} => {{1,2,3,5,6},{4},{7}} => 1
{{1,2,3,5,7},{4,6}} => {{1,2,3,7},{4,5,6}} => 1
{{1,2,3,5},{4,6,7}} => {{1,2,3,6,7},{4,5}} => 1
{{1,2,3,5},{4,6},{7}} => {{1,2,3,6},{4,5},{7}} => 1
{{1,2,3,5,7},{4},{6}} => {{1,2,3,5,7},{4},{6}} => 1
{{1,2,3,5},{4,7},{6}} => {{1,2,3,7},{4,5},{6}} => 1
{{1,2,3,5},{4},{6,7}} => {{1,2,3,5},{4},{6,7}} => 1
{{1,2,3,5},{4},{6},{7}} => {{1,2,3,5},{4},{6},{7}} => 1
{{1,2,3,6,7},{4,5}} => {{1,2,3,5},{4,6,7}} => 2
{{1,2,3,6},{4,5,7}} => {{1,2,3,5,6},{4,7}} => 2
{{1,2,3,6},{4,5},{7}} => {{1,2,3,5},{4,6},{7}} => 2
{{1,2,3,7},{4,5,6}} => {{1,2,3,5,7},{4,6}} => 2
{{1,2,3},{4,5,6,7}} => {{1,2,3},{4,5,6,7}} => 1
{{1,2,3},{4,5,6},{7}} => {{1,2,3},{4,5,6},{7}} => 1
{{1,2,3,7},{4,5},{6}} => {{1,2,3,5},{4,7},{6}} => 2
{{1,2,3},{4,5,7},{6}} => {{1,2,3},{4,5,7},{6}} => 1
{{1,2,3},{4,5},{6,7}} => {{1,2,3},{4,5},{6,7}} => 1
{{1,2,3},{4,5},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => 1
{{1,2,3,6,7},{4},{5}} => {{1,2,3,6,7},{4},{5}} => 1
{{1,2,3,6},{4,7},{5}} => {{1,2,3,7},{4,6},{5}} => 1
{{1,2,3,6},{4},{5,7}} => {{1,2,3,7},{4},{5,6}} => 1
{{1,2,3,6},{4},{5},{7}} => {{1,2,3,6},{4},{5},{7}} => 1
{{1,2,3,7},{4,6},{5}} => {{1,2,3,6},{4,7},{5}} => 2
{{1,2,3},{4,6,7},{5}} => {{1,2,3},{4,6,7},{5}} => 1
{{1,2,3},{4,6},{5,7}} => {{1,2,3},{4,7},{5,6}} => 1
{{1,2,3},{4,6},{5},{7}} => {{1,2,3},{4,6},{5},{7}} => 1
{{1,2,3,7},{4},{5,6}} => {{1,2,3,6},{4},{5,7}} => 2
{{1,2,3},{4,7},{5,6}} => {{1,2,3},{4,6},{5,7}} => 2
{{1,2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6,7}} => 1
{{1,2,3},{4},{5,6},{7}} => {{1,2,3},{4},{5,6},{7}} => 1
{{1,2,3,7},{4},{5},{6}} => {{1,2,3,7},{4},{5},{6}} => 1
{{1,2,3},{4,7},{5},{6}} => {{1,2,3},{4,7},{5},{6}} => 1
{{1,2,3},{4},{5,7},{6}} => {{1,2,3},{4},{5,7},{6}} => 1
{{1,2,3},{4},{5},{6,7}} => {{1,2,3},{4},{5},{6,7}} => 1
{{1,2,3},{4},{5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 1
{{1,2,4,5,6,7},{3}} => {{1,2,4,5,6,7},{3}} => 1
{{1,2,4,5,6},{3,7}} => {{1,2,5,7},{3,4,6}} => 2
{{1,2,4,5,6},{3},{7}} => {{1,2,4,5,6},{3},{7}} => 1
{{1,2,4,5,7},{3,6}} => {{1,2,5,6},{3,4,7}} => 2
{{1,2,4,5},{3,6,7}} => {{1,2,5},{3,4,6,7}} => 2
{{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,4,6},{7}} => 2
{{1,2,4,5,7},{3},{6}} => {{1,2,4,5,7},{3},{6}} => 1
{{1,2,4,5},{3,7},{6}} => {{1,2,5},{3,4,7},{6}} => 2
{{1,2,4,5},{3},{6,7}} => {{1,2,4,5},{3},{6,7}} => 1
{{1,2,4,5},{3},{6},{7}} => {{1,2,4,5},{3},{6},{7}} => 1
{{1,2,4,6,7},{3,5}} => {{1,2,6,7},{3,4,5}} => 1
{{1,2,4,6},{3,5,7}} => {{1,2,7},{3,4,5,6}} => 1
{{1,2,4,6},{3,5},{7}} => {{1,2,6},{3,4,5},{7}} => 1
{{1,2,4,7},{3,5,6}} => {{1,2,6},{3,4,5,7}} => 2
{{1,2,4},{3,5,6,7}} => {{1,2,5,6,7},{3,4}} => 1
{{1,2,4},{3,5,6},{7}} => {{1,2,5,6},{3,4},{7}} => 1
{{1,2,4,7},{3,5},{6}} => {{1,2,7},{3,4,5},{6}} => 1
{{1,2,4},{3,5,7},{6}} => {{1,2,5,7},{3,4},{6}} => 1
{{1,2,4},{3,5},{6,7}} => {{1,2,5},{3,4},{6,7}} => 1
{{1,2,4},{3,5},{6},{7}} => {{1,2,5},{3,4},{6},{7}} => 1
{{1,2,4,6,7},{3},{5}} => {{1,2,4,6,7},{3},{5}} => 1
{{1,2,4,6},{3,7},{5}} => {{1,2,6},{3,4,7},{5}} => 2
{{1,2,4,6},{3},{5,7}} => {{1,2,4,7},{3},{5,6}} => 1
{{1,2,4,6},{3},{5},{7}} => {{1,2,4,6},{3},{5},{7}} => 1
{{1,2,4,7},{3,6},{5}} => {{1,2,7},{3,4,6},{5}} => 1
{{1,2,4},{3,6,7},{5}} => {{1,2,6,7},{3,4},{5}} => 1
{{1,2,4},{3,6},{5,7}} => {{1,2,7},{3,4},{5,6}} => 1
{{1,2,4},{3,6},{5},{7}} => {{1,2,6},{3,4},{5},{7}} => 1
{{1,2,4,7},{3},{5,6}} => {{1,2,4,6},{3},{5,7}} => 2
{{1,2,4},{3,7},{5,6}} => {{1,2,6},{3,4},{5,7}} => 2
{{1,2,4},{3},{5,6,7}} => {{1,2,4},{3},{5,6,7}} => 1
{{1,2,4},{3},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}} => 1
{{1,2,4,7},{3},{5},{6}} => {{1,2,4,7},{3},{5},{6}} => 1
{{1,2,4},{3,7},{5},{6}} => {{1,2,7},{3,4},{5},{6}} => 1
{{1,2,4},{3},{5,7},{6}} => {{1,2,4},{3},{5,7},{6}} => 1
{{1,2,4},{3},{5},{6,7}} => {{1,2,4},{3},{5},{6,7}} => 1
{{1,2,4},{3},{5},{6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 1
{{1,2,5,6,7},{3,4}} => {{1,2,4},{3,5,6,7}} => 2
{{1,2,5,6},{3,4,7}} => {{1,2,4,5,7},{3,6}} => 2
{{1,2,5,6},{3,4},{7}} => {{1,2,4},{3,5,6},{7}} => 2
{{1,2,5,7},{3,4,6}} => {{1,2,4,5,6},{3,7}} => 2
{{1,2,5},{3,4,6,7}} => {{1,2,4,5},{3,6,7}} => 2
{{1,2,5},{3,4,6},{7}} => {{1,2,4,5},{3,6},{7}} => 2
{{1,2,5,7},{3,4},{6}} => {{1,2,4},{3,5,7},{6}} => 2
{{1,2,5},{3,4,7},{6}} => {{1,2,4,5},{3,7},{6}} => 2
{{1,2,5},{3,4},{6,7}} => {{1,2,4},{3,5},{6,7}} => 2
{{1,2,5},{3,4},{6},{7}} => {{1,2,4},{3,5},{6},{7}} => 2
{{1,2,6,7},{3,4,5}} => {{1,2,4,6,7},{3,5}} => 2
{{1,2,6},{3,4,5,7}} => {{1,2,4,7},{3,5,6}} => 2
{{1,2,6},{3,4,5},{7}} => {{1,2,4,6},{3,5},{7}} => 2
{{1,2,7},{3,4,5,6}} => {{1,2,4,6},{3,5,7}} => 2
{{1,2},{3,4,5,6,7}} => {{1,2},{3,4,5,6,7}} => 1
{{1,2},{3,4,5,6},{7}} => {{1,2},{3,4,5,6},{7}} => 1
{{1,2,7},{3,4,5},{6}} => {{1,2,4,7},{3,5},{6}} => 2
{{1,2},{3,4,5,7},{6}} => {{1,2},{3,4,5,7},{6}} => 1
{{1,2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6,7}} => 1
{{1,2},{3,4,5},{6},{7}} => {{1,2},{3,4,5},{6},{7}} => 1
{{1,2,6,7},{3,4},{5}} => {{1,2,4},{3,6,7},{5}} => 2
{{1,2,6},{3,4,7},{5}} => {{1,2,4,6},{3,7},{5}} => 2
{{1,2,6},{3,4},{5,7}} => {{1,2,4},{3,7},{5,6}} => 2
{{1,2,6},{3,4},{5},{7}} => {{1,2,4},{3,6},{5},{7}} => 2
{{1,2,7},{3,4,6},{5}} => {{1,2,4,7},{3,6},{5}} => 2
{{1,2},{3,4,6,7},{5}} => {{1,2},{3,4,6,7},{5}} => 1
{{1,2},{3,4,6},{5,7}} => {{1,2},{3,4,7},{5,6}} => 1
{{1,2},{3,4,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => 1
{{1,2,7},{3,4},{5,6}} => {{1,2,4},{3,6},{5,7}} => 2
{{1,2},{3,4,7},{5,6}} => {{1,2},{3,4,6},{5,7}} => 2
{{1,2},{3,4},{5,6,7}} => {{1,2},{3,4},{5,6,7}} => 1
{{1,2},{3,4},{5,6},{7}} => {{1,2},{3,4},{5,6},{7}} => 1
{{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3,7},{5},{6}} => 2
{{1,2},{3,4,7},{5},{6}} => {{1,2},{3,4,7},{5},{6}} => 1
{{1,2},{3,4},{5,7},{6}} => {{1,2},{3,4},{5,7},{6}} => 1
{{1,2},{3,4},{5},{6,7}} => {{1,2},{3,4},{5},{6,7}} => 1
{{1,2},{3,4},{5},{6},{7}} => {{1,2},{3,4},{5},{6},{7}} => 1
{{1,2,5,6,7},{3},{4}} => {{1,2,5,6,7},{3},{4}} => 1
{{1,2,5,6},{3,7},{4}} => {{1,2,6},{3,5,7},{4}} => 2
{{1,2,5,6},{3},{4,7}} => {{1,2,6},{3},{4,5,7}} => 2
{{1,2,5,6},{3},{4},{7}} => {{1,2,5,6},{3},{4},{7}} => 1
{{1,2,5,7},{3,6},{4}} => {{1,2,7},{3,5,6},{4}} => 1
{{1,2,5},{3,6,7},{4}} => {{1,2,6,7},{3,5},{4}} => 1
{{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} => 1
{{1,2,5},{3,6},{4},{7}} => {{1,2,6},{3,5},{4},{7}} => 1
{{1,2,5,7},{3},{4,6}} => {{1,2,7},{3},{4,5,6}} => 1
{{1,2,5},{3,7},{4,6}} => {{1,2,6},{3,5},{4,7}} => 2
{{1,2,5},{3},{4,6,7}} => {{1,2,6,7},{3},{4,5}} => 1
{{1,2,5},{3},{4,6},{7}} => {{1,2,6},{3},{4,5},{7}} => 1
{{1,2,5,7},{3},{4},{6}} => {{1,2,5,7},{3},{4},{6}} => 1
{{1,2,5},{3,7},{4},{6}} => {{1,2,7},{3,5},{4},{6}} => 1
{{1,2,5},{3},{4,7},{6}} => {{1,2,7},{3},{4,5},{6}} => 1
{{1,2,5},{3},{4},{6,7}} => {{1,2,5},{3},{4},{6,7}} => 1
{{1,2,5},{3},{4},{6},{7}} => {{1,2,5},{3},{4},{6},{7}} => 1
{{1,2,6,7},{3,5},{4}} => {{1,2,5},{3,6,7},{4}} => 2
{{1,2,6},{3,5,7},{4}} => {{1,2,5,6},{3,7},{4}} => 2
{{1,2,6},{3,5},{4,7}} => {{1,2,5},{3,7},{4,6}} => 2
{{1,2,6},{3,5},{4},{7}} => {{1,2,5},{3,6},{4},{7}} => 2
{{1,2,7},{3,5,6},{4}} => {{1,2,5,7},{3,6},{4}} => 2
{{1,2},{3,5,6,7},{4}} => {{1,2},{3,5,6,7},{4}} => 1
{{1,2},{3,5,6},{4,7}} => {{1,2},{3,6},{4,5,7}} => 2
{{1,2},{3,5,6},{4},{7}} => {{1,2},{3,5,6},{4},{7}} => 1
{{1,2,7},{3,5},{4,6}} => {{1,2,6},{3,7},{4,5}} => 2
{{1,2},{3,5,7},{4,6}} => {{1,2},{3,7},{4,5,6}} => 1
{{1,2},{3,5},{4,6,7}} => {{1,2},{3,6,7},{4,5}} => 1
{{1,2},{3,5},{4,6},{7}} => {{1,2},{3,6},{4,5},{7}} => 1
{{1,2,7},{3,5},{4},{6}} => {{1,2,5},{3,7},{4},{6}} => 2
{{1,2},{3,5,7},{4},{6}} => {{1,2},{3,5,7},{4},{6}} => 1
{{1,2},{3,5},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => 1
{{1,2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6,7}} => 1
{{1,2},{3,5},{4},{6},{7}} => {{1,2},{3,5},{4},{6},{7}} => 1
{{1,2,6,7},{3},{4,5}} => {{1,2,5},{3},{4,6,7}} => 2
{{1,2,6},{3,7},{4,5}} => {{1,2,7},{3,5},{4,6}} => 2
{{1,2,6},{3},{4,5,7}} => {{1,2,5,6},{3},{4,7}} => 2
{{1,2,6},{3},{4,5},{7}} => {{1,2,5},{3},{4,6},{7}} => 2
{{1,2,7},{3,6},{4,5}} => {{1,2,5},{3,6},{4,7}} => 3
{{1,2},{3,6,7},{4,5}} => {{1,2},{3,5},{4,6,7}} => 2
{{1,2},{3,6},{4,5,7}} => {{1,2},{3,5,6},{4,7}} => 2
{{1,2},{3,6},{4,5},{7}} => {{1,2},{3,5},{4,6},{7}} => 2
{{1,2,7},{3},{4,5,6}} => {{1,2,5,7},{3},{4,6}} => 2
{{1,2},{3,7},{4,5,6}} => {{1,2},{3,5,7},{4,6}} => 2
{{1,2},{3},{4,5,6,7}} => {{1,2},{3},{4,5,6,7}} => 1
{{1,2},{3},{4,5,6},{7}} => {{1,2},{3},{4,5,6},{7}} => 1
{{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4,7},{6}} => 2
{{1,2},{3,7},{4,5},{6}} => {{1,2},{3,5},{4,7},{6}} => 2
{{1,2},{3},{4,5,7},{6}} => {{1,2},{3},{4,5,7},{6}} => 1
{{1,2},{3},{4,5},{6,7}} => {{1,2},{3},{4,5},{6,7}} => 1
{{1,2},{3},{4,5},{6},{7}} => {{1,2},{3},{4,5},{6},{7}} => 1
{{1,2,6,7},{3},{4},{5}} => {{1,2,6,7},{3},{4},{5}} => 1
{{1,2,6},{3,7},{4},{5}} => {{1,2,7},{3,6},{4},{5}} => 1
{{1,2,6},{3},{4,7},{5}} => {{1,2,7},{3},{4,6},{5}} => 1
{{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => 1
{{1,2,6},{3},{4},{5},{7}} => {{1,2,6},{3},{4},{5},{7}} => 1
{{1,2,7},{3,6},{4},{5}} => {{1,2,6},{3,7},{4},{5}} => 2
{{1,2},{3,6,7},{4},{5}} => {{1,2},{3,6,7},{4},{5}} => 1
{{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} => 1
{{1,2},{3,6},{4},{5,7}} => {{1,2},{3,7},{4},{5,6}} => 1
{{1,2},{3,6},{4},{5},{7}} => {{1,2},{3,6},{4},{5},{7}} => 1
{{1,2,7},{3},{4,6},{5}} => {{1,2,6},{3},{4,7},{5}} => 2
{{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4,7},{5}} => 2
{{1,2},{3},{4,6,7},{5}} => {{1,2},{3},{4,6,7},{5}} => 1
{{1,2},{3},{4,6},{5,7}} => {{1,2},{3},{4,7},{5,6}} => 1
{{1,2},{3},{4,6},{5},{7}} => {{1,2},{3},{4,6},{5},{7}} => 1
{{1,2,7},{3},{4},{5,6}} => {{1,2,6},{3},{4},{5,7}} => 2
{{1,2},{3,7},{4},{5,6}} => {{1,2},{3,6},{4},{5,7}} => 2
{{1,2},{3},{4,7},{5,6}} => {{1,2},{3},{4,6},{5,7}} => 2
{{1,2},{3},{4},{5,6,7}} => {{1,2},{3},{4},{5,6,7}} => 1
{{1,2},{3},{4},{5,6},{7}} => {{1,2},{3},{4},{5,6},{7}} => 1
{{1,2,7},{3},{4},{5},{6}} => {{1,2,7},{3},{4},{5},{6}} => 1
{{1,2},{3,7},{4},{5},{6}} => {{1,2},{3,7},{4},{5},{6}} => 1
{{1,2},{3},{4,7},{5},{6}} => {{1,2},{3},{4,7},{5},{6}} => 1
{{1,2},{3},{4},{5,7},{6}} => {{1,2},{3},{4},{5,7},{6}} => 1
{{1,2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6,7}} => 1
{{1,2},{3},{4},{5},{6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
{{1,3,4,5,6,7},{2}} => {{1,3,4,5,6,7},{2}} => 1
{{1,3,4,5,6},{2,7}} => {{1,4,6},{2,3,5,7}} => 2
{{1,3,4,5,6},{2},{7}} => {{1,3,4,5,6},{2},{7}} => 1
{{1,3,4,5,7},{2,6}} => {{1,4,7},{2,3,5,6}} => 2
{{1,3,4,5},{2,6,7}} => {{1,4,6,7},{2,3,5}} => 2
{{1,3,4,5},{2,6},{7}} => {{1,4,6},{2,3,5},{7}} => 2
{{1,3,4,5,7},{2},{6}} => {{1,3,4,5,7},{2},{6}} => 1
{{1,3,4,5},{2,7},{6}} => {{1,4,7},{2,3,5},{6}} => 2
{{1,3,4,5},{2},{6,7}} => {{1,3,4,5},{2},{6,7}} => 1
{{1,3,4,5},{2},{6},{7}} => {{1,3,4,5},{2},{6},{7}} => 1
{{1,3,4,6,7},{2,5}} => {{1,4,5},{2,3,6,7}} => 2
{{1,3,4,6},{2,5,7}} => {{1,4,5,6},{2,3,7}} => 2
{{1,3,4,6},{2,5},{7}} => {{1,4,5},{2,3,6},{7}} => 2
{{1,3,4,7},{2,5,6}} => {{1,4,5,7},{2,3,6}} => 2
{{1,3,4},{2,5,6,7}} => {{1,4},{2,3,5,6,7}} => 2
{{1,3,4},{2,5,6},{7}} => {{1,4},{2,3,5,6},{7}} => 2
{{1,3,4,7},{2,5},{6}} => {{1,4,5},{2,3,7},{6}} => 2
{{1,3,4},{2,5,7},{6}} => {{1,4},{2,3,5,7},{6}} => 2
{{1,3,4},{2,5},{6,7}} => {{1,4},{2,3,5},{6,7}} => 2
{{1,3,4},{2,5},{6},{7}} => {{1,4},{2,3,5},{6},{7}} => 2
{{1,3,4,6,7},{2},{5}} => {{1,3,4,6,7},{2},{5}} => 1
{{1,3,4,6},{2,7},{5}} => {{1,4,7},{2,3,6},{5}} => 2
{{1,3,4,6},{2},{5,7}} => {{1,3,4,7},{2},{5,6}} => 1
{{1,3,4,6},{2},{5},{7}} => {{1,3,4,6},{2},{5},{7}} => 1
{{1,3,4,7},{2,6},{5}} => {{1,4,6},{2,3,7},{5}} => 2
{{1,3,4},{2,6,7},{5}} => {{1,4},{2,3,6,7},{5}} => 2
{{1,3,4},{2,6},{5,7}} => {{1,4},{2,3,7},{5,6}} => 2
{{1,3,4},{2,6},{5},{7}} => {{1,4},{2,3,6},{5},{7}} => 2
{{1,3,4,7},{2},{5,6}} => {{1,3,4,6},{2},{5,7}} => 2
{{1,3,4},{2,7},{5,6}} => {{1,4},{2,3,6},{5,7}} => 2
{{1,3,4},{2},{5,6,7}} => {{1,3,4},{2},{5,6,7}} => 1
{{1,3,4},{2},{5,6},{7}} => {{1,3,4},{2},{5,6},{7}} => 1
{{1,3,4,7},{2},{5},{6}} => {{1,3,4,7},{2},{5},{6}} => 1
{{1,3,4},{2,7},{5},{6}} => {{1,4},{2,3,7},{5},{6}} => 2
{{1,3,4},{2},{5,7},{6}} => {{1,3,4},{2},{5,7},{6}} => 1
{{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 1
{{1,3,4},{2},{5},{6},{7}} => {{1,3,4},{2},{5},{6},{7}} => 1
{{1,3,5,6,7},{2,4}} => {{1,5,6,7},{2,3,4}} => 1
{{1,3,5,6},{2,4,7}} => {{1,6},{2,3,4,5,7}} => 2
{{1,3,5,6},{2,4},{7}} => {{1,5,6},{2,3,4},{7}} => 1
{{1,3,5,7},{2,4,6}} => {{1,7},{2,3,4,5,6}} => 1
{{1,3,5},{2,4,6,7}} => {{1,6,7},{2,3,4,5}} => 1
{{1,3,5},{2,4,6},{7}} => {{1,6},{2,3,4,5},{7}} => 1
{{1,3,5,7},{2,4},{6}} => {{1,5,7},{2,3,4},{6}} => 1
{{1,3,5},{2,4,7},{6}} => {{1,7},{2,3,4,5},{6}} => 1
{{1,3,5},{2,4},{6,7}} => {{1,5},{2,3,4},{6,7}} => 1
{{1,3,5},{2,4},{6},{7}} => {{1,5},{2,3,4},{6},{7}} => 1
{{1,3,6,7},{2,4,5}} => {{1,5},{2,3,4,6,7}} => 2
{{1,3,6},{2,4,5,7}} => {{1,5,6},{2,3,4,7}} => 2
{{1,3,6},{2,4,5},{7}} => {{1,5},{2,3,4,6},{7}} => 2
{{1,3,7},{2,4,5,6}} => {{1,5,7},{2,3,4,6}} => 2
{{1,3},{2,4,5,6,7}} => {{1,4,5,6,7},{2,3}} => 1
{{1,3},{2,4,5,6},{7}} => {{1,4,5,6},{2,3},{7}} => 1
{{1,3,7},{2,4,5},{6}} => {{1,5},{2,3,4,7},{6}} => 2
{{1,3},{2,4,5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 1
{{1,3},{2,4,5},{6,7}} => {{1,4,5},{2,3},{6,7}} => 1
{{1,3},{2,4,5},{6},{7}} => {{1,4,5},{2,3},{6},{7}} => 1
{{1,3,6,7},{2,4},{5}} => {{1,6,7},{2,3,4},{5}} => 1
{{1,3,6},{2,4,7},{5}} => {{1,7},{2,3,4,6},{5}} => 1
{{1,3,6},{2,4},{5,7}} => {{1,7},{2,3,4},{5,6}} => 1
{{1,3,6},{2,4},{5},{7}} => {{1,6},{2,3,4},{5},{7}} => 1
{{1,3,7},{2,4,6},{5}} => {{1,6},{2,3,4,7},{5}} => 2
{{1,3},{2,4,6,7},{5}} => {{1,4,6,7},{2,3},{5}} => 1
{{1,3},{2,4,6},{5,7}} => {{1,4,7},{2,3},{5,6}} => 1
{{1,3},{2,4,6},{5},{7}} => {{1,4,6},{2,3},{5},{7}} => 1
{{1,3,7},{2,4},{5,6}} => {{1,6},{2,3,4},{5,7}} => 2
{{1,3},{2,4,7},{5,6}} => {{1,4,6},{2,3},{5,7}} => 2
{{1,3},{2,4},{5,6,7}} => {{1,4},{2,3},{5,6,7}} => 1
{{1,3},{2,4},{5,6},{7}} => {{1,4},{2,3},{5,6},{7}} => 1
{{1,3,7},{2,4},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 1
{{1,3},{2,4,7},{5},{6}} => {{1,4,7},{2,3},{5},{6}} => 1
{{1,3},{2,4},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 1
{{1,3},{2,4},{5},{6,7}} => {{1,4},{2,3},{5},{6,7}} => 1
{{1,3},{2,4},{5},{6},{7}} => {{1,4},{2,3},{5},{6},{7}} => 1
{{1,3,5,6,7},{2},{4}} => {{1,3,5,6,7},{2},{4}} => 1
{{1,3,5,6},{2,7},{4}} => {{1,5,7},{2,3,6},{4}} => 2
{{1,3,5,6},{2},{4,7}} => {{1,3,6},{2},{4,5,7}} => 2
{{1,3,5,6},{2},{4},{7}} => {{1,3,5,6},{2},{4},{7}} => 1
{{1,3,5,7},{2,6},{4}} => {{1,5,6},{2,3,7},{4}} => 2
{{1,3,5},{2,6,7},{4}} => {{1,5},{2,3,6,7},{4}} => 2
{{1,3,5},{2,6},{4,7}} => {{1,5},{2,3,7},{4,6}} => 2
{{1,3,5},{2,6},{4},{7}} => {{1,5},{2,3,6},{4},{7}} => 2
{{1,3,5,7},{2},{4,6}} => {{1,3,7},{2},{4,5,6}} => 1
{{1,3,5},{2,7},{4,6}} => {{1,6},{2,3,7},{4,5}} => 2
{{1,3,5},{2},{4,6,7}} => {{1,3,6,7},{2},{4,5}} => 1
{{1,3,5},{2},{4,6},{7}} => {{1,3,6},{2},{4,5},{7}} => 1
{{1,3,5,7},{2},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => 1
{{1,3,5},{2,7},{4},{6}} => {{1,5},{2,3,7},{4},{6}} => 2
{{1,3,5},{2},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => 1
{{1,3,5},{2},{4},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 1
{{1,3,5},{2},{4},{6},{7}} => {{1,3,5},{2},{4},{6},{7}} => 1
{{1,3,6,7},{2,5},{4}} => {{1,6,7},{2,3,5},{4}} => 1
{{1,3,6},{2,5,7},{4}} => {{1,7},{2,3,5,6},{4}} => 1
{{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,6},{4,5}} => 1
{{1,3,6},{2,5},{4},{7}} => {{1,6},{2,3,5},{4},{7}} => 1
{{1,3,7},{2,5,6},{4}} => {{1,6},{2,3,5,7},{4}} => 2
{{1,3},{2,5,6,7},{4}} => {{1,5,6,7},{2,3},{4}} => 1
{{1,3},{2,5,6},{4,7}} => {{1,6},{2,3},{4,5,7}} => 2
{{1,3},{2,5,6},{4},{7}} => {{1,5,6},{2,3},{4},{7}} => 1
{{1,3,7},{2,5},{4,6}} => {{1,6},{2,3,5},{4,7}} => 2
{{1,3},{2,5,7},{4,6}} => {{1,7},{2,3},{4,5,6}} => 1
{{1,3},{2,5},{4,6,7}} => {{1,6,7},{2,3},{4,5}} => 1
{{1,3},{2,5},{4,6},{7}} => {{1,6},{2,3},{4,5},{7}} => 1
{{1,3,7},{2,5},{4},{6}} => {{1,7},{2,3,5},{4},{6}} => 1
{{1,3},{2,5,7},{4},{6}} => {{1,5,7},{2,3},{4},{6}} => 1
{{1,3},{2,5},{4,7},{6}} => {{1,7},{2,3},{4,5},{6}} => 1
{{1,3},{2,5},{4},{6,7}} => {{1,5},{2,3},{4},{6,7}} => 1
{{1,3},{2,5},{4},{6},{7}} => {{1,5},{2,3},{4},{6},{7}} => 1
{{1,3,6,7},{2},{4,5}} => {{1,3,5},{2},{4,6,7}} => 2
{{1,3,6},{2,7},{4,5}} => {{1,5},{2,3,6},{4,7}} => 3
{{1,3,6},{2},{4,5,7}} => {{1,3,5,6},{2},{4,7}} => 2
{{1,3,6},{2},{4,5},{7}} => {{1,3,5},{2},{4,6},{7}} => 2
{{1,3,7},{2,6},{4,5}} => {{1,7},{2,3,5},{4,6}} => 2
{{1,3},{2,6,7},{4,5}} => {{1,5},{2,3},{4,6,7}} => 2
{{1,3},{2,6},{4,5,7}} => {{1,5,6},{2,3},{4,7}} => 2
{{1,3},{2,6},{4,5},{7}} => {{1,5},{2,3},{4,6},{7}} => 2
{{1,3,7},{2},{4,5,6}} => {{1,3,5,7},{2},{4,6}} => 2
{{1,3},{2,7},{4,5,6}} => {{1,5,7},{2,3},{4,6}} => 2
{{1,3},{2},{4,5,6,7}} => {{1,3},{2},{4,5,6,7}} => 1
{{1,3},{2},{4,5,6},{7}} => {{1,3},{2},{4,5,6},{7}} => 1
{{1,3,7},{2},{4,5},{6}} => {{1,3,5},{2},{4,7},{6}} => 2
{{1,3},{2,7},{4,5},{6}} => {{1,5},{2,3},{4,7},{6}} => 2
{{1,3},{2},{4,5,7},{6}} => {{1,3},{2},{4,5,7},{6}} => 1
{{1,3},{2},{4,5},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 1
{{1,3},{2},{4,5},{6},{7}} => {{1,3},{2},{4,5},{6},{7}} => 1
{{1,3,6,7},{2},{4},{5}} => {{1,3,6,7},{2},{4},{5}} => 1
{{1,3,6},{2,7},{4},{5}} => {{1,6},{2,3,7},{4},{5}} => 2
{{1,3,6},{2},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} => 1
{{1,3,6},{2},{4},{5,7}} => {{1,3,7},{2},{4},{5,6}} => 1
{{1,3,6},{2},{4},{5},{7}} => {{1,3,6},{2},{4},{5},{7}} => 1
{{1,3,7},{2,6},{4},{5}} => {{1,7},{2,3,6},{4},{5}} => 1
{{1,3},{2,6,7},{4},{5}} => {{1,6,7},{2,3},{4},{5}} => 1
{{1,3},{2,6},{4,7},{5}} => {{1,7},{2,3},{4,6},{5}} => 1
{{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => 1
{{1,3},{2,6},{4},{5},{7}} => {{1,6},{2,3},{4},{5},{7}} => 1
{{1,3,7},{2},{4,6},{5}} => {{1,3,6},{2},{4,7},{5}} => 2
{{1,3},{2,7},{4,6},{5}} => {{1,6},{2,3},{4,7},{5}} => 2
{{1,3},{2},{4,6,7},{5}} => {{1,3},{2},{4,6,7},{5}} => 1
{{1,3},{2},{4,6},{5,7}} => {{1,3},{2},{4,7},{5,6}} => 1
{{1,3},{2},{4,6},{5},{7}} => {{1,3},{2},{4,6},{5},{7}} => 1
{{1,3,7},{2},{4},{5,6}} => {{1,3,6},{2},{4},{5,7}} => 2
{{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => 2
{{1,3},{2},{4,7},{5,6}} => {{1,3},{2},{4,6},{5,7}} => 2
{{1,3},{2},{4},{5,6,7}} => {{1,3},{2},{4},{5,6,7}} => 1
{{1,3},{2},{4},{5,6},{7}} => {{1,3},{2},{4},{5,6},{7}} => 1
{{1,3,7},{2},{4},{5},{6}} => {{1,3,7},{2},{4},{5},{6}} => 1
{{1,3},{2,7},{4},{5},{6}} => {{1,7},{2,3},{4},{5},{6}} => 1
{{1,3},{2},{4,7},{5},{6}} => {{1,3},{2},{4,7},{5},{6}} => 1
{{1,3},{2},{4},{5,7},{6}} => {{1,3},{2},{4},{5,7},{6}} => 1
{{1,3},{2},{4},{5},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 1
{{1,3},{2},{4},{5},{6},{7}} => {{1,3},{2},{4},{5},{6},{7}} => 1
{{1,4,5,6,7},{2,3}} => {{1,3},{2,4,5,6,7}} => 2
{{1,4,5,6},{2,3,7}} => {{1,3,4,6},{2,5,7}} => 2
{{1,4,5,6},{2,3},{7}} => {{1,3},{2,4,5,6},{7}} => 2
{{1,4,5,7},{2,3,6}} => {{1,3,4,7},{2,5,6}} => 2
{{1,4,5},{2,3,6,7}} => {{1,3,4,6,7},{2,5}} => 2
{{1,4,5},{2,3,6},{7}} => {{1,3,4,6},{2,5},{7}} => 2
{{1,4,5,7},{2,3},{6}} => {{1,3},{2,4,5,7},{6}} => 2
{{1,4,5},{2,3,7},{6}} => {{1,3,4,7},{2,5},{6}} => 2
{{1,4,5},{2,3},{6,7}} => {{1,3},{2,4,5},{6,7}} => 2
{{1,4,5},{2,3},{6},{7}} => {{1,3},{2,4,5},{6},{7}} => 2
{{1,4,6,7},{2,3,5}} => {{1,3,4,5},{2,6,7}} => 2
{{1,4,6},{2,3,5,7}} => {{1,3,4,5,6},{2,7}} => 2
{{1,4,6},{2,3,5},{7}} => {{1,3,4,5},{2,6},{7}} => 2
{{1,4,7},{2,3,5,6}} => {{1,3,4,5,7},{2,6}} => 2
{{1,4},{2,3,5,6,7}} => {{1,3,4},{2,5,6,7}} => 2
{{1,4},{2,3,5,6},{7}} => {{1,3,4},{2,5,6},{7}} => 2
{{1,4,7},{2,3,5},{6}} => {{1,3,4,5},{2,7},{6}} => 2
{{1,4},{2,3,5,7},{6}} => {{1,3,4},{2,5,7},{6}} => 2
{{1,4},{2,3,5},{6,7}} => {{1,3,4},{2,5},{6,7}} => 2
{{1,4},{2,3,5},{6},{7}} => {{1,3,4},{2,5},{6},{7}} => 2
{{1,4,6,7},{2,3},{5}} => {{1,3},{2,4,6,7},{5}} => 2
{{1,4,6},{2,3,7},{5}} => {{1,3,4,7},{2,6},{5}} => 2
{{1,4,6},{2,3},{5,7}} => {{1,3},{2,4,7},{5,6}} => 2
{{1,4,6},{2,3},{5},{7}} => {{1,3},{2,4,6},{5},{7}} => 2
{{1,4,7},{2,3,6},{5}} => {{1,3,4,6},{2,7},{5}} => 2
{{1,4},{2,3,6,7},{5}} => {{1,3,4},{2,6,7},{5}} => 2
{{1,4},{2,3,6},{5,7}} => {{1,3,4},{2,7},{5,6}} => 2
{{1,4},{2,3,6},{5},{7}} => {{1,3,4},{2,6},{5},{7}} => 2
{{1,4,7},{2,3},{5,6}} => {{1,3},{2,4,6},{5,7}} => 2
{{1,4},{2,3,7},{5,6}} => {{1,3,4},{2,6},{5,7}} => 2
{{1,4},{2,3},{5,6,7}} => {{1,3},{2,4},{5,6,7}} => 2
{{1,4},{2,3},{5,6},{7}} => {{1,3},{2,4},{5,6},{7}} => 2
{{1,4,7},{2,3},{5},{6}} => {{1,3},{2,4,7},{5},{6}} => 2
{{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2,7},{5},{6}} => 2
{{1,4},{2,3},{5,7},{6}} => {{1,3},{2,4},{5,7},{6}} => 2
{{1,4},{2,3},{5},{6,7}} => {{1,3},{2,4},{5},{6,7}} => 2
{{1,4},{2,3},{5},{6},{7}} => {{1,3},{2,4},{5},{6},{7}} => 2
{{1,5,6,7},{2,3,4}} => {{1,3,5,6,7},{2,4}} => 2
{{1,5,6},{2,3,4,7}} => {{1,3,6},{2,4,5,7}} => 2
{{1,5,6},{2,3,4},{7}} => {{1,3,5,6},{2,4},{7}} => 2
{{1,5,7},{2,3,4,6}} => {{1,3,7},{2,4,5,6}} => 2
{{1,5},{2,3,4,6,7}} => {{1,3,6,7},{2,4,5}} => 2
{{1,5},{2,3,4,6},{7}} => {{1,3,6},{2,4,5},{7}} => 2
{{1,5,7},{2,3,4},{6}} => {{1,3,5,7},{2,4},{6}} => 2
{{1,5},{2,3,4,7},{6}} => {{1,3,7},{2,4,5},{6}} => 2
{{1,5},{2,3,4},{6,7}} => {{1,3,5},{2,4},{6,7}} => 2
{{1,5},{2,3,4},{6},{7}} => {{1,3,5},{2,4},{6},{7}} => 2
{{1,6,7},{2,3,4,5}} => {{1,3,5},{2,4,6,7}} => 2
{{1,6},{2,3,4,5,7}} => {{1,3,5,6},{2,4,7}} => 2
{{1,6},{2,3,4,5},{7}} => {{1,3,5},{2,4,6},{7}} => 2
{{1,7},{2,3,4,5,6}} => {{1,3,5,7},{2,4,6}} => 2
{{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}} => 1
{{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}} => 1
{{1,7},{2,3,4,5},{6}} => {{1,3,5},{2,4,7},{6}} => 2
{{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}} => 1
{{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}} => 1
{{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}} => 1
{{1,6,7},{2,3,4},{5}} => {{1,3,6,7},{2,4},{5}} => 2
{{1,6},{2,3,4,7},{5}} => {{1,3,7},{2,4,6},{5}} => 2
{{1,6},{2,3,4},{5,7}} => {{1,3,7},{2,4},{5,6}} => 2
{{1,6},{2,3,4},{5},{7}} => {{1,3,6},{2,4},{5},{7}} => 2
{{1,7},{2,3,4,6},{5}} => {{1,3,6},{2,4,7},{5}} => 2
{{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}} => 1
{{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}} => 1
{{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}} => 1
{{1,7},{2,3,4},{5,6}} => {{1,3,6},{2,4},{5,7}} => 2
{{1},{2,3,4,7},{5,6}} => {{1},{2,3,4,6},{5,7}} => 2
{{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}} => 1
{{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}} => 1
{{1,7},{2,3,4},{5},{6}} => {{1,3,7},{2,4},{5},{6}} => 2
{{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}} => 1
{{1},{2,3,4},{5,7},{6}} => {{1},{2,3,4},{5,7},{6}} => 1
{{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}} => 1
{{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}} => 1
{{1,5,6,7},{2,3},{4}} => {{1,3},{2,5,6,7},{4}} => 2
{{1,5,6},{2,3,7},{4}} => {{1,3,5,7},{2,6},{4}} => 2
{{1,5,6},{2,3},{4,7}} => {{1,3},{2,6},{4,5,7}} => 2
{{1,5,6},{2,3},{4},{7}} => {{1,3},{2,5,6},{4},{7}} => 2
{{1,5,7},{2,3,6},{4}} => {{1,3,5,6},{2,7},{4}} => 2
{{1,5},{2,3,6,7},{4}} => {{1,3,5},{2,6,7},{4}} => 2
{{1,5},{2,3,6},{4,7}} => {{1,3,6},{2,7},{4,5}} => 2
{{1,5},{2,3,6},{4},{7}} => {{1,3,5},{2,6},{4},{7}} => 2
{{1,5,7},{2,3},{4,6}} => {{1,3},{2,7},{4,5,6}} => 2
{{1,5},{2,3,7},{4,6}} => {{1,3,5},{2,6},{4,7}} => 2
{{1,5},{2,3},{4,6,7}} => {{1,3},{2,6,7},{4,5}} => 2
{{1,5},{2,3},{4,6},{7}} => {{1,3},{2,6},{4,5},{7}} => 2
{{1,5,7},{2,3},{4},{6}} => {{1,3},{2,5,7},{4},{6}} => 2
{{1,5},{2,3,7},{4},{6}} => {{1,3,5},{2,7},{4},{6}} => 2
{{1,5},{2,3},{4,7},{6}} => {{1,3},{2,7},{4,5},{6}} => 2
{{1,5},{2,3},{4},{6,7}} => {{1,3},{2,5},{4},{6,7}} => 2
{{1,5},{2,3},{4},{6},{7}} => {{1,3},{2,5},{4},{6},{7}} => 2
{{1,6,7},{2,3,5},{4}} => {{1,3,6,7},{2,5},{4}} => 2
{{1,6},{2,3,5,7},{4}} => {{1,3,7},{2,5,6},{4}} => 2
{{1,6},{2,3,5},{4,7}} => {{1,3,7},{2,5},{4,6}} => 2
{{1,6},{2,3,5},{4},{7}} => {{1,3,6},{2,5},{4},{7}} => 2
{{1,7},{2,3,5,6},{4}} => {{1,3,6},{2,5,7},{4}} => 2
{{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}} => 1
{{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}} => 2
{{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => 1
{{1,7},{2,3,5},{4,6}} => {{1,3,7},{2,6},{4,5}} => 2
{{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}} => 1
{{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}} => 1
{{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}} => 1
{{1,7},{2,3,5},{4},{6}} => {{1,3,7},{2,5},{4},{6}} => 2
{{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => 1
{{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => 1
{{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}} => 1
{{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}} => 1
{{1,6,7},{2,3},{4,5}} => {{1,3},{2,5},{4,6,7}} => 2
{{1,6},{2,3,7},{4,5}} => {{1,3,5},{2,7},{4,6}} => 2
{{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,6},{4,7}} => 2
{{1,6},{2,3},{4,5},{7}} => {{1,3},{2,5},{4,6},{7}} => 2
{{1,7},{2,3,6},{4,5}} => {{1,3,6},{2,5},{4,7}} => 3
{{1},{2,3,6,7},{4,5}} => {{1},{2,3,5},{4,6,7}} => 2
{{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}} => 2
{{1},{2,3,6},{4,5},{7}} => {{1},{2,3,5},{4,6},{7}} => 2
{{1,7},{2,3},{4,5,6}} => {{1,3},{2,5,7},{4,6}} => 2
{{1},{2,3,7},{4,5,6}} => {{1},{2,3,5,7},{4,6}} => 2
{{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}} => 1
{{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}} => 1
{{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4,7},{6}} => 2
{{1},{2,3,7},{4,5},{6}} => {{1},{2,3,5},{4,7},{6}} => 2
{{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}} => 1
{{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}} => 1
{{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}} => 1
{{1,6,7},{2,3},{4},{5}} => {{1,3},{2,6,7},{4},{5}} => 2
{{1,6},{2,3,7},{4},{5}} => {{1,3,6},{2,7},{4},{5}} => 2
{{1,6},{2,3},{4,7},{5}} => {{1,3},{2,7},{4,6},{5}} => 2
{{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => 2
{{1,6},{2,3},{4},{5},{7}} => {{1,3},{2,6},{4},{5},{7}} => 2
{{1,7},{2,3,6},{4},{5}} => {{1,3,7},{2,6},{4},{5}} => 2
{{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}} => 1
{{1},{2,3,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => 1
{{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}} => 1
{{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}} => 1
{{1,7},{2,3},{4,6},{5}} => {{1,3},{2,6},{4,7},{5}} => 2
{{1},{2,3,7},{4,6},{5}} => {{1},{2,3,6},{4,7},{5}} => 2
{{1},{2,3},{4,6,7},{5}} => {{1},{2,3},{4,6,7},{5}} => 1
{{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}} => 1
{{1},{2,3},{4,6},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => 1
{{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6},{4},{5,7}} => 2
{{1},{2,3,7},{4},{5,6}} => {{1},{2,3,6},{4},{5,7}} => 2
{{1},{2,3},{4,7},{5,6}} => {{1},{2,3},{4,6},{5,7}} => 2
{{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}} => 1
{{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}} => 1
{{1,7},{2,3},{4},{5},{6}} => {{1,3},{2,7},{4},{5},{6}} => 2
{{1},{2,3,7},{4},{5},{6}} => {{1},{2,3,7},{4},{5},{6}} => 1
{{1},{2,3},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => 1
{{1},{2,3},{4},{5,7},{6}} => {{1},{2,3},{4},{5,7},{6}} => 1
{{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}} => 1
{{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}} => 1
{{1,4,5,6,7},{2},{3}} => {{1,4,5,6,7},{2},{3}} => 1
{{1,4,5,6},{2,7},{3}} => {{1,5,7},{2,4,6},{3}} => 2
{{1,4,5,6},{2},{3,7}} => {{1,5,7},{2},{3,4,6}} => 2
{{1,4,5,6},{2},{3},{7}} => {{1,4,5,6},{2},{3},{7}} => 1
{{1,4,5,7},{2,6},{3}} => {{1,5,6},{2,4,7},{3}} => 2
{{1,4,5},{2,6,7},{3}} => {{1,5},{2,4,6,7},{3}} => 2
{{1,4,5},{2,6},{3,7}} => {{1,7},{2,5},{3,4,6}} => 2
{{1,4,5},{2,6},{3},{7}} => {{1,5},{2,4,6},{3},{7}} => 2
{{1,4,5,7},{2},{3,6}} => {{1,5,6},{2},{3,4,7}} => 2
{{1,4,5},{2,7},{3,6}} => {{1,5},{2,4,7},{3,6}} => 3
{{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,4,6,7}} => 2
{{1,4,5},{2},{3,6},{7}} => {{1,5},{2},{3,4,6},{7}} => 2
{{1,4,5,7},{2},{3},{6}} => {{1,4,5,7},{2},{3},{6}} => 1
{{1,4,5},{2,7},{3},{6}} => {{1,5},{2,4,7},{3},{6}} => 2
{{1,4,5},{2},{3,7},{6}} => {{1,5},{2},{3,4,7},{6}} => 2
{{1,4,5},{2},{3},{6,7}} => {{1,4,5},{2},{3},{6,7}} => 1
{{1,4,5},{2},{3},{6},{7}} => {{1,4,5},{2},{3},{6},{7}} => 1
{{1,4,6,7},{2,5},{3}} => {{1,6,7},{2,4,5},{3}} => 1
{{1,4,6},{2,5,7},{3}} => {{1,7},{2,4,5,6},{3}} => 1
{{1,4,6},{2,5},{3,7}} => {{1,6},{2,5},{3,4,7}} => 2
{{1,4,6},{2,5},{3},{7}} => {{1,6},{2,4,5},{3},{7}} => 1
{{1,4,7},{2,5,6},{3}} => {{1,6},{2,4,5,7},{3}} => 2
{{1,4},{2,5,6,7},{3}} => {{1,5,6,7},{2,4},{3}} => 1
{{1,4},{2,5,6},{3,7}} => {{1,6},{2,5,7},{3,4}} => 2
{{1,4},{2,5,6},{3},{7}} => {{1,5,6},{2,4},{3},{7}} => 1
{{1,4,7},{2,5},{3,6}} => {{1,7},{2,6},{3,4,5}} => 1
{{1,4},{2,5,7},{3,6}} => {{1,7},{2,5,6},{3,4}} => 1
{{1,4},{2,5},{3,6,7}} => {{1,6,7},{2,5},{3,4}} => 1
{{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} => 1
{{1,4,7},{2,5},{3},{6}} => {{1,7},{2,4,5},{3},{6}} => 1
{{1,4},{2,5,7},{3},{6}} => {{1,5,7},{2,4},{3},{6}} => 1
{{1,4},{2,5},{3,7},{6}} => {{1,7},{2,5},{3,4},{6}} => 1
{{1,4},{2,5},{3},{6,7}} => {{1,5},{2,4},{3},{6,7}} => 1
{{1,4},{2,5},{3},{6},{7}} => {{1,5},{2,4},{3},{6},{7}} => 1
{{1,4,6,7},{2},{3,5}} => {{1,6,7},{2},{3,4,5}} => 1
{{1,4,6},{2,7},{3,5}} => {{1,6},{2,4,5},{3,7}} => 2
{{1,4,6},{2},{3,5,7}} => {{1,7},{2},{3,4,5,6}} => 1
{{1,4,6},{2},{3,5},{7}} => {{1,6},{2},{3,4,5},{7}} => 1
{{1,4,7},{2,6},{3,5}} => {{1,5},{2,4,6},{3,7}} => 2
{{1,4},{2,6,7},{3,5}} => {{1,5},{2,4},{3,6,7}} => 2
{{1,4},{2,6},{3,5,7}} => {{1,5,6},{2,4},{3,7}} => 2
{{1,4},{2,6},{3,5},{7}} => {{1,5},{2,4},{3,6},{7}} => 2
{{1,4,7},{2},{3,5,6}} => {{1,6},{2},{3,4,5,7}} => 2
{{1,4},{2,7},{3,5,6}} => {{1,5,7},{2,4},{3,6}} => 2
{{1,4},{2},{3,5,6,7}} => {{1,5,6,7},{2},{3,4}} => 1
{{1,4},{2},{3,5,6},{7}} => {{1,5,6},{2},{3,4},{7}} => 1
{{1,4,7},{2},{3,5},{6}} => {{1,7},{2},{3,4,5},{6}} => 1
{{1,4},{2,7},{3,5},{6}} => {{1,5},{2,4},{3,7},{6}} => 2
{{1,4},{2},{3,5,7},{6}} => {{1,5,7},{2},{3,4},{6}} => 1
{{1,4},{2},{3,5},{6,7}} => {{1,5},{2},{3,4},{6,7}} => 1
{{1,4},{2},{3,5},{6},{7}} => {{1,5},{2},{3,4},{6},{7}} => 1
{{1,4,6,7},{2},{3},{5}} => {{1,4,6,7},{2},{3},{5}} => 1
{{1,4,6},{2,7},{3},{5}} => {{1,6},{2,4,7},{3},{5}} => 2
{{1,4,6},{2},{3,7},{5}} => {{1,6},{2},{3,4,7},{5}} => 2
{{1,4,6},{2},{3},{5,7}} => {{1,4,7},{2},{3},{5,6}} => 1
{{1,4,6},{2},{3},{5},{7}} => {{1,4,6},{2},{3},{5},{7}} => 1
{{1,4,7},{2,6},{3},{5}} => {{1,7},{2,4,6},{3},{5}} => 1
{{1,4},{2,6,7},{3},{5}} => {{1,6,7},{2,4},{3},{5}} => 1
{{1,4},{2,6},{3,7},{5}} => {{1,7},{2,6},{3,4},{5}} => 1
{{1,4},{2,6},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => 1
{{1,4},{2,6},{3},{5},{7}} => {{1,6},{2,4},{3},{5},{7}} => 1
{{1,4,7},{2},{3,6},{5}} => {{1,7},{2},{3,4,6},{5}} => 1
{{1,4},{2,7},{3,6},{5}} => {{1,6},{2,4},{3,7},{5}} => 2
{{1,4},{2},{3,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 1
{{1,4},{2},{3,6},{5,7}} => {{1,7},{2},{3,4},{5,6}} => 1
{{1,4},{2},{3,6},{5},{7}} => {{1,6},{2},{3,4},{5},{7}} => 1
{{1,4,7},{2},{3},{5,6}} => {{1,4,6},{2},{3},{5,7}} => 2
{{1,4},{2,7},{3},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 2
{{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4},{5,7}} => 2
{{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 1
{{1,4},{2},{3},{5,6},{7}} => {{1,4},{2},{3},{5,6},{7}} => 1
{{1,4,7},{2},{3},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => 1
{{1,4},{2,7},{3},{5},{6}} => {{1,7},{2,4},{3},{5},{6}} => 1
{{1,4},{2},{3,7},{5},{6}} => {{1,7},{2},{3,4},{5},{6}} => 1
{{1,4},{2},{3},{5,7},{6}} => {{1,4},{2},{3},{5,7},{6}} => 1
{{1,4},{2},{3},{5},{6,7}} => {{1,4},{2},{3},{5},{6,7}} => 1
{{1,4},{2},{3},{5},{6},{7}} => {{1,4},{2},{3},{5},{6},{7}} => 1
{{1,5,6,7},{2,4},{3}} => {{1,4},{2,5,6,7},{3}} => 2
{{1,5,6},{2,4,7},{3}} => {{1,4,5,7},{2,6},{3}} => 2
{{1,5,6},{2,4},{3,7}} => {{1,4},{2,6},{3,5,7}} => 2
{{1,5,6},{2,4},{3},{7}} => {{1,4},{2,5,6},{3},{7}} => 2
{{1,5,7},{2,4,6},{3}} => {{1,4,5,6},{2,7},{3}} => 2
{{1,5},{2,4,6,7},{3}} => {{1,4,5},{2,6,7},{3}} => 2
{{1,5},{2,4,6},{3,7}} => {{1,4,7},{2,6},{3,5}} => 2
{{1,5},{2,4,6},{3},{7}} => {{1,4,5},{2,6},{3},{7}} => 2
{{1,5,7},{2,4},{3,6}} => {{1,4},{2,7},{3,5,6}} => 2
{{1,5},{2,4,7},{3,6}} => {{1,4,5},{2,7},{3,6}} => 2
{{1,5},{2,4},{3,6,7}} => {{1,4},{2,6,7},{3,5}} => 2
{{1,5},{2,4},{3,6},{7}} => {{1,4},{2,6},{3,5},{7}} => 2
{{1,5,7},{2,4},{3},{6}} => {{1,4},{2,5,7},{3},{6}} => 2
{{1,5},{2,4,7},{3},{6}} => {{1,4,5},{2,7},{3},{6}} => 2
{{1,5},{2,4},{3,7},{6}} => {{1,4},{2,7},{3,5},{6}} => 2
{{1,5},{2,4},{3},{6,7}} => {{1,4},{2,5},{3},{6,7}} => 2
{{1,5},{2,4},{3},{6},{7}} => {{1,4},{2,5},{3},{6},{7}} => 2
{{1,6,7},{2,4,5},{3}} => {{1,4,6,7},{2,5},{3}} => 2
{{1,6},{2,4,5,7},{3}} => {{1,4,7},{2,5,6},{3}} => 2
{{1,6},{2,4,5},{3,7}} => {{1,4,6},{2,7},{3,5}} => 2
{{1,6},{2,4,5},{3},{7}} => {{1,4,6},{2,5},{3},{7}} => 2
{{1,7},{2,4,5,6},{3}} => {{1,4,6},{2,5,7},{3}} => 2
{{1},{2,4,5,6,7},{3}} => {{1},{2,4,5,6,7},{3}} => 1
{{1},{2,4,5,6},{3,7}} => {{1},{2,5,7},{3,4,6}} => 2
{{1},{2,4,5,6},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => 1
{{1,7},{2,4,5},{3,6}} => {{1,5},{2,6},{3,4,7}} => 3
{{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}} => 2
{{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}} => 2
{{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}} => 2
{{1,7},{2,4,5},{3},{6}} => {{1,4,7},{2,5},{3},{6}} => 2
{{1},{2,4,5,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => 1
{{1},{2,4,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => 2
{{1},{2,4,5},{3},{6,7}} => {{1},{2,4,5},{3},{6,7}} => 1
{{1},{2,4,5},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} => 1
{{1,6,7},{2,4},{3,5}} => {{1,5},{2,6,7},{3,4}} => 2
{{1,6},{2,4,7},{3,5}} => {{1,5},{2,7},{3,4,6}} => 2
{{1,6},{2,4},{3,5,7}} => {{1,5,6},{2,7},{3,4}} => 2
{{1,6},{2,4},{3,5},{7}} => {{1,5},{2,6},{3,4},{7}} => 2
{{1,7},{2,4,6},{3,5}} => {{1,6},{2,7},{3,4,5}} => 2
{{1},{2,4,6,7},{3,5}} => {{1},{2,6,7},{3,4,5}} => 1
{{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}} => 1
{{1},{2,4,6},{3,5},{7}} => {{1},{2,6},{3,4,5},{7}} => 1
{{1,7},{2,4},{3,5,6}} => {{1,5,7},{2,6},{3,4}} => 2
{{1},{2,4,7},{3,5,6}} => {{1},{2,6},{3,4,5,7}} => 2
{{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}} => 1
{{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}} => 1
{{1,7},{2,4},{3,5},{6}} => {{1,5},{2,7},{3,4},{6}} => 2
{{1},{2,4,7},{3,5},{6}} => {{1},{2,7},{3,4,5},{6}} => 1
{{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}} => 1
{{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}} => 1
{{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} => 1
{{1,6,7},{2,4},{3},{5}} => {{1,4},{2,6,7},{3},{5}} => 2
{{1,6},{2,4,7},{3},{5}} => {{1,4,6},{2,7},{3},{5}} => 2
{{1,6},{2,4},{3,7},{5}} => {{1,4},{2,7},{3,6},{5}} => 2
{{1,6},{2,4},{3},{5,7}} => {{1,4},{2,7},{3},{5,6}} => 2
{{1,6},{2,4},{3},{5},{7}} => {{1,4},{2,6},{3},{5},{7}} => 2
{{1,7},{2,4,6},{3},{5}} => {{1,4,7},{2,6},{3},{5}} => 2
{{1},{2,4,6,7},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => 1
{{1},{2,4,6},{3,7},{5}} => {{1},{2,6},{3,4,7},{5}} => 2
{{1},{2,4,6},{3},{5,7}} => {{1},{2,4,7},{3},{5,6}} => 1
{{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => 1
{{1,7},{2,4},{3,6},{5}} => {{1,6},{2,7},{3,4},{5}} => 2
{{1},{2,4,7},{3,6},{5}} => {{1},{2,7},{3,4,6},{5}} => 1
{{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}} => 1
{{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}} => 1
{{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => 1
{{1,7},{2,4},{3},{5,6}} => {{1,4},{2,6},{3},{5,7}} => 2
{{1},{2,4,7},{3},{5,6}} => {{1},{2,4,6},{3},{5,7}} => 2
{{1},{2,4},{3,7},{5,6}} => {{1},{2,6},{3,4},{5,7}} => 2
{{1},{2,4},{3},{5,6,7}} => {{1},{2,4},{3},{5,6,7}} => 1
{{1},{2,4},{3},{5,6},{7}} => {{1},{2,4},{3},{5,6},{7}} => 1
{{1,7},{2,4},{3},{5},{6}} => {{1,4},{2,7},{3},{5},{6}} => 2
{{1},{2,4,7},{3},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => 1
{{1},{2,4},{3,7},{5},{6}} => {{1},{2,7},{3,4},{5},{6}} => 1
{{1},{2,4},{3},{5,7},{6}} => {{1},{2,4},{3},{5,7},{6}} => 1
{{1},{2,4},{3},{5},{6,7}} => {{1},{2,4},{3},{5},{6,7}} => 1
{{1},{2,4},{3},{5},{6},{7}} => {{1},{2,4},{3},{5},{6},{7}} => 1
{{1,5,6,7},{2},{3,4}} => {{1,4},{2},{3,5,6,7}} => 2
{{1,5,6},{2,7},{3,4}} => {{1,6},{2,4},{3,5,7}} => 2
{{1,5,6},{2},{3,4,7}} => {{1,4,5,7},{2},{3,6}} => 2
{{1,5,6},{2},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} => 2
{{1,5,7},{2,6},{3,4}} => {{1,7},{2,4},{3,5,6}} => 2
{{1,5},{2,6,7},{3,4}} => {{1,6,7},{2,4},{3,5}} => 2
{{1,5},{2,6},{3,4,7}} => {{1,7},{2,4,5},{3,6}} => 2
{{1,5},{2,6},{3,4},{7}} => {{1,6},{2,4},{3,5},{7}} => 2
{{1,5,7},{2},{3,4,6}} => {{1,4,5,6},{2},{3,7}} => 2
{{1,5},{2,7},{3,4,6}} => {{1,6},{2,4,7},{3,5}} => 2
{{1,5},{2},{3,4,6,7}} => {{1,4,5},{2},{3,6,7}} => 2
{{1,5},{2},{3,4,6},{7}} => {{1,4,5},{2},{3,6},{7}} => 2
{{1,5,7},{2},{3,4},{6}} => {{1,4},{2},{3,5,7},{6}} => 2
{{1,5},{2,7},{3,4},{6}} => {{1,7},{2,4},{3,5},{6}} => 2
{{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => 2
{{1,5},{2},{3,4},{6,7}} => {{1,4},{2},{3,5},{6,7}} => 2
{{1,5},{2},{3,4},{6},{7}} => {{1,4},{2},{3,5},{6},{7}} => 2
{{1,6,7},{2,5},{3,4}} => {{1,4},{2,5},{3,6,7}} => 3
{{1,6},{2,5,7},{3,4}} => {{1,4},{2,5,6},{3,7}} => 3
{{1,6},{2,5},{3,4,7}} => {{1,4,6},{2,5},{3,7}} => 3
{{1,6},{2,5},{3,4},{7}} => {{1,4},{2,5},{3,6},{7}} => 3
{{1,7},{2,5,6},{3,4}} => {{1,4},{2,5,7},{3,6}} => 3
{{1},{2,5,6,7},{3,4}} => {{1},{2,4},{3,5,6,7}} => 2
{{1},{2,5,6},{3,4,7}} => {{1},{2,4,5,7},{3,6}} => 2
{{1},{2,5,6},{3,4},{7}} => {{1},{2,4},{3,5,6},{7}} => 2
{{1,7},{2,5},{3,4,6}} => {{1,4,5},{2,6},{3,7}} => 3
{{1},{2,5,7},{3,4,6}} => {{1},{2,4,5,6},{3,7}} => 2
{{1},{2,5},{3,4,6,7}} => {{1},{2,4,5},{3,6,7}} => 2
{{1},{2,5},{3,4,6},{7}} => {{1},{2,4,5},{3,6},{7}} => 2
{{1,7},{2,5},{3,4},{6}} => {{1,4},{2,5},{3,7},{6}} => 3
{{1},{2,5,7},{3,4},{6}} => {{1},{2,4},{3,5,7},{6}} => 2
{{1},{2,5},{3,4,7},{6}} => {{1},{2,4,5},{3,7},{6}} => 2
{{1},{2,5},{3,4},{6,7}} => {{1},{2,4},{3,5},{6,7}} => 2
{{1},{2,5},{3,4},{6},{7}} => {{1},{2,4},{3,5},{6},{7}} => 2
{{1,6,7},{2},{3,4,5}} => {{1,4,6,7},{2},{3,5}} => 2
{{1,6},{2,7},{3,4,5}} => {{1,7},{2,4,6},{3,5}} => 2
{{1,6},{2},{3,4,5,7}} => {{1,4,7},{2},{3,5,6}} => 2
{{1,6},{2},{3,4,5},{7}} => {{1,4,6},{2},{3,5},{7}} => 2
{{1,7},{2,6},{3,4,5}} => {{1,4,7},{2,5},{3,6}} => 3
{{1},{2,6,7},{3,4,5}} => {{1},{2,4,6,7},{3,5}} => 2
{{1},{2,6},{3,4,5,7}} => {{1},{2,4,7},{3,5,6}} => 2
{{1},{2,6},{3,4,5},{7}} => {{1},{2,4,6},{3,5},{7}} => 2
{{1,7},{2},{3,4,5,6}} => {{1,4,6},{2},{3,5,7}} => 2
{{1},{2,7},{3,4,5,6}} => {{1},{2,4,6},{3,5,7}} => 2
{{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}} => 1
{{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}} => 1
{{1,7},{2},{3,4,5},{6}} => {{1,4,7},{2},{3,5},{6}} => 2
{{1},{2,7},{3,4,5},{6}} => {{1},{2,4,7},{3,5},{6}} => 2
{{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}} => 1
{{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}} => 1
{{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => 1
{{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3,6,7},{5}} => 2
{{1,6},{2,7},{3,4},{5}} => {{1,7},{2,4},{3,6},{5}} => 2
{{1,6},{2},{3,4,7},{5}} => {{1,4,6},{2},{3,7},{5}} => 2
{{1,6},{2},{3,4},{5,7}} => {{1,4},{2},{3,7},{5,6}} => 2
{{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3,6},{5},{7}} => 2
{{1,7},{2,6},{3,4},{5}} => {{1,4},{2,6},{3,7},{5}} => 3
{{1},{2,6,7},{3,4},{5}} => {{1},{2,4},{3,6,7},{5}} => 2
{{1},{2,6},{3,4,7},{5}} => {{1},{2,4,6},{3,7},{5}} => 2
{{1},{2,6},{3,4},{5,7}} => {{1},{2,4},{3,7},{5,6}} => 2
{{1},{2,6},{3,4},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} => 2
{{1,7},{2},{3,4,6},{5}} => {{1,4,7},{2},{3,6},{5}} => 2
{{1},{2,7},{3,4,6},{5}} => {{1},{2,4,7},{3,6},{5}} => 2
{{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}} => 1
{{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}} => 1
{{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => 1
{{1,7},{2},{3,4},{5,6}} => {{1,4},{2},{3,6},{5,7}} => 2
{{1},{2,7},{3,4},{5,6}} => {{1},{2,4},{3,6},{5,7}} => 2
{{1},{2},{3,4,7},{5,6}} => {{1},{2},{3,4,6},{5,7}} => 2
{{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}} => 1
{{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}} => 1
{{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3,7},{5},{6}} => 2
{{1},{2,7},{3,4},{5},{6}} => {{1},{2,4},{3,7},{5},{6}} => 2
{{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => 1
{{1},{2},{3,4},{5,7},{6}} => {{1},{2},{3,4},{5,7},{6}} => 1
{{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}} => 1
{{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => 1
{{1,5,6,7},{2},{3},{4}} => {{1,5,6,7},{2},{3},{4}} => 1
{{1,5,6},{2,7},{3},{4}} => {{1,6},{2,5,7},{3},{4}} => 2
{{1,5,6},{2},{3,7},{4}} => {{1,6},{2},{3,5,7},{4}} => 2
{{1,5,6},{2},{3},{4,7}} => {{1,6},{2},{3},{4,5,7}} => 2
{{1,5,6},{2},{3},{4},{7}} => {{1,5,6},{2},{3},{4},{7}} => 1
{{1,5,7},{2,6},{3},{4}} => {{1,7},{2,5,6},{3},{4}} => 1
{{1,5},{2,6,7},{3},{4}} => {{1,6,7},{2,5},{3},{4}} => 1
{{1,5},{2,6},{3,7},{4}} => {{1,7},{2,6},{3,5},{4}} => 1
{{1,5},{2,6},{3},{4,7}} => {{1,7},{2,6},{3},{4,5}} => 1
{{1,5},{2,6},{3},{4},{7}} => {{1,6},{2,5},{3},{4},{7}} => 1
{{1,5,7},{2},{3,6},{4}} => {{1,7},{2},{3,5,6},{4}} => 1
{{1,5},{2,7},{3,6},{4}} => {{1,6},{2,5},{3,7},{4}} => 2
{{1,5},{2},{3,6,7},{4}} => {{1,6,7},{2},{3,5},{4}} => 1
{{1,5},{2},{3,6},{4,7}} => {{1,7},{2},{3,6},{4,5}} => 1
{{1,5},{2},{3,6},{4},{7}} => {{1,6},{2},{3,5},{4},{7}} => 1
{{1,5,7},{2},{3},{4,6}} => {{1,7},{2},{3},{4,5,6}} => 1
{{1,5},{2,7},{3},{4,6}} => {{1,6},{2,5},{3},{4,7}} => 2
{{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,5},{4,7}} => 2
{{1,5},{2},{3},{4,6,7}} => {{1,6,7},{2},{3},{4,5}} => 1
{{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => 1
{{1,5,7},{2},{3},{4},{6}} => {{1,5,7},{2},{3},{4},{6}} => 1
{{1,5},{2,7},{3},{4},{6}} => {{1,7},{2,5},{3},{4},{6}} => 1
{{1,5},{2},{3,7},{4},{6}} => {{1,7},{2},{3,5},{4},{6}} => 1
{{1,5},{2},{3},{4,7},{6}} => {{1,7},{2},{3},{4,5},{6}} => 1
{{1,5},{2},{3},{4},{6,7}} => {{1,5},{2},{3},{4},{6,7}} => 1
{{1,5},{2},{3},{4},{6},{7}} => {{1,5},{2},{3},{4},{6},{7}} => 1
{{1,6,7},{2,5},{3},{4}} => {{1,5},{2,6,7},{3},{4}} => 2
{{1,6},{2,5,7},{3},{4}} => {{1,5,6},{2,7},{3},{4}} => 2
{{1,6},{2,5},{3,7},{4}} => {{1,5},{2,7},{3,6},{4}} => 2
{{1,6},{2,5},{3},{4,7}} => {{1,5},{2,7},{3},{4,6}} => 2
{{1,6},{2,5},{3},{4},{7}} => {{1,5},{2,6},{3},{4},{7}} => 2
{{1,7},{2,5,6},{3},{4}} => {{1,5,7},{2,6},{3},{4}} => 2
{{1},{2,5,6,7},{3},{4}} => {{1},{2,5,6,7},{3},{4}} => 1
{{1},{2,5,6},{3,7},{4}} => {{1},{2,6},{3,5,7},{4}} => 2
{{1},{2,5,6},{3},{4,7}} => {{1},{2,6},{3},{4,5,7}} => 2
{{1},{2,5,6},{3},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => 1
{{1,7},{2,5},{3,6},{4}} => {{1,6},{2,7},{3,5},{4}} => 2
{{1},{2,5,7},{3,6},{4}} => {{1},{2,7},{3,5,6},{4}} => 1
{{1},{2,5},{3,6,7},{4}} => {{1},{2,6,7},{3,5},{4}} => 1
{{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}} => 1
{{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => 1
{{1,7},{2,5},{3},{4,6}} => {{1,6},{2,7},{3},{4,5}} => 2
{{1},{2,5,7},{3},{4,6}} => {{1},{2,7},{3},{4,5,6}} => 1
{{1},{2,5},{3,7},{4,6}} => {{1},{2,6},{3,5},{4,7}} => 2
{{1},{2,5},{3},{4,6,7}} => {{1},{2,6,7},{3},{4,5}} => 1
{{1},{2,5},{3},{4,6},{7}} => {{1},{2,6},{3},{4,5},{7}} => 1
{{1,7},{2,5},{3},{4},{6}} => {{1,5},{2,7},{3},{4},{6}} => 2
{{1},{2,5,7},{3},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => 1
{{1},{2,5},{3,7},{4},{6}} => {{1},{2,7},{3,5},{4},{6}} => 1
{{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => 1
{{1},{2,5},{3},{4},{6,7}} => {{1},{2,5},{3},{4},{6,7}} => 1
{{1},{2,5},{3},{4},{6},{7}} => {{1},{2,5},{3},{4},{6},{7}} => 1
{{1,6,7},{2},{3,5},{4}} => {{1,5},{2},{3,6,7},{4}} => 2
{{1,6},{2,7},{3,5},{4}} => {{1,7},{2,5},{3,6},{4}} => 2
{{1,6},{2},{3,5,7},{4}} => {{1,5,6},{2},{3,7},{4}} => 2
{{1,6},{2},{3,5},{4,7}} => {{1,5},{2},{3,7},{4,6}} => 2
{{1,6},{2},{3,5},{4},{7}} => {{1,5},{2},{3,6},{4},{7}} => 2
{{1,7},{2,6},{3,5},{4}} => {{1,5},{2,6},{3,7},{4}} => 3
{{1},{2,6,7},{3,5},{4}} => {{1},{2,5},{3,6,7},{4}} => 2
{{1},{2,6},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => 2
{{1},{2,6},{3,5},{4,7}} => {{1},{2,5},{3,7},{4,6}} => 2
{{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} => 2
{{1,7},{2},{3,5,6},{4}} => {{1,5,7},{2},{3,6},{4}} => 2
{{1},{2,7},{3,5,6},{4}} => {{1},{2,5,7},{3,6},{4}} => 2
{{1},{2},{3,5,6,7},{4}} => {{1},{2},{3,5,6,7},{4}} => 1
{{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}} => 2
{{1},{2},{3,5,6},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => 1
{{1,7},{2},{3,5},{4,6}} => {{1,6},{2},{3,7},{4,5}} => 2
{{1},{2,7},{3,5},{4,6}} => {{1},{2,6},{3,7},{4,5}} => 2
{{1},{2},{3,5,7},{4,6}} => {{1},{2},{3,7},{4,5,6}} => 1
{{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}} => 1
{{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}} => 1
{{1,7},{2},{3,5},{4},{6}} => {{1,5},{2},{3,7},{4},{6}} => 2
{{1},{2,7},{3,5},{4},{6}} => {{1},{2,5},{3,7},{4},{6}} => 2
{{1},{2},{3,5,7},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => 1
{{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}} => 1
{{1},{2},{3,5},{4},{6,7}} => {{1},{2},{3,5},{4},{6,7}} => 1
{{1},{2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => 1
{{1,6,7},{2},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => 2
{{1,6},{2,7},{3},{4,5}} => {{1,7},{2,5},{3},{4,6}} => 2
{{1,6},{2},{3,7},{4,5}} => {{1,7},{2},{3,5},{4,6}} => 2
{{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2},{3},{4,7}} => 2
{{1,6},{2},{3},{4,5},{7}} => {{1,5},{2},{3},{4,6},{7}} => 2
{{1,7},{2,6},{3},{4,5}} => {{1,5},{2,6},{3},{4,7}} => 3
{{1},{2,6,7},{3},{4,5}} => {{1},{2,5},{3},{4,6,7}} => 2
{{1},{2,6},{3,7},{4,5}} => {{1},{2,7},{3,5},{4,6}} => 2
{{1},{2,6},{3},{4,5,7}} => {{1},{2,5,6},{3},{4,7}} => 2
{{1},{2,6},{3},{4,5},{7}} => {{1},{2,5},{3},{4,6},{7}} => 2
{{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6},{4,7}} => 3
{{1},{2,7},{3,6},{4,5}} => {{1},{2,5},{3,6},{4,7}} => 3
{{1},{2},{3,6,7},{4,5}} => {{1},{2},{3,5},{4,6,7}} => 2
{{1},{2},{3,6},{4,5,7}} => {{1},{2},{3,5,6},{4,7}} => 2
{{1},{2},{3,6},{4,5},{7}} => {{1},{2},{3,5},{4,6},{7}} => 2
{{1,7},{2},{3},{4,5,6}} => {{1,5,7},{2},{3},{4,6}} => 2
{{1},{2,7},{3},{4,5,6}} => {{1},{2,5,7},{3},{4,6}} => 2
{{1},{2},{3,7},{4,5,6}} => {{1},{2},{3,5,7},{4,6}} => 2
{{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}} => 1
{{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}} => 1
{{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4,7},{6}} => 2
{{1},{2,7},{3},{4,5},{6}} => {{1},{2,5},{3},{4,7},{6}} => 2
{{1},{2},{3,7},{4,5},{6}} => {{1},{2},{3,5},{4,7},{6}} => 2
{{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}} => 1
{{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}} => 1
{{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => 1
{{1,6,7},{2},{3},{4},{5}} => {{1,6,7},{2},{3},{4},{5}} => 1
{{1,6},{2,7},{3},{4},{5}} => {{1,7},{2,6},{3},{4},{5}} => 1
{{1,6},{2},{3,7},{4},{5}} => {{1,7},{2},{3,6},{4},{5}} => 1
{{1,6},{2},{3},{4,7},{5}} => {{1,7},{2},{3},{4,6},{5}} => 1
{{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => 1
{{1,6},{2},{3},{4},{5},{7}} => {{1,6},{2},{3},{4},{5},{7}} => 1
{{1,7},{2,6},{3},{4},{5}} => {{1,6},{2,7},{3},{4},{5}} => 2
{{1},{2,6,7},{3},{4},{5}} => {{1},{2,6,7},{3},{4},{5}} => 1
{{1},{2,6},{3,7},{4},{5}} => {{1},{2,7},{3,6},{4},{5}} => 1
{{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => 1
{{1},{2,6},{3},{4},{5,7}} => {{1},{2,7},{3},{4},{5,6}} => 1
{{1},{2,6},{3},{4},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} => 1
{{1,7},{2},{3,6},{4},{5}} => {{1,6},{2},{3,7},{4},{5}} => 2
{{1},{2,7},{3,6},{4},{5}} => {{1},{2,6},{3,7},{4},{5}} => 2
{{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => 1
{{1},{2},{3,6},{4,7},{5}} => {{1},{2},{3,7},{4,6},{5}} => 1
{{1},{2},{3,6},{4},{5,7}} => {{1},{2},{3,7},{4},{5,6}} => 1
{{1},{2},{3,6},{4},{5},{7}} => {{1},{2},{3,6},{4},{5},{7}} => 1
{{1,7},{2},{3},{4,6},{5}} => {{1,6},{2},{3},{4,7},{5}} => 2
{{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} => 2
{{1},{2},{3,7},{4,6},{5}} => {{1},{2},{3,6},{4,7},{5}} => 2
{{1},{2},{3},{4,6,7},{5}} => {{1},{2},{3},{4,6,7},{5}} => 1
{{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}} => 1
{{1},{2},{3},{4,6},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => 1
{{1,7},{2},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => 2
{{1},{2,7},{3},{4},{5,6}} => {{1},{2,6},{3},{4},{5,7}} => 2
{{1},{2},{3,7},{4},{5,6}} => {{1},{2},{3,6},{4},{5,7}} => 2
{{1},{2},{3},{4,7},{5,6}} => {{1},{2},{3},{4,6},{5,7}} => 2
{{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}} => 1
{{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}} => 1
{{1,7},{2},{3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5},{6}} => 1
{{1},{2,7},{3},{4},{5},{6}} => {{1},{2,7},{3},{4},{5},{6}} => 1
{{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} => 1
{{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => 1
{{1},{2},{3},{4},{5,7},{6}} => {{1},{2},{3},{4},{5,7},{6}} => 1
{{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}} => 1
{{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
{{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}} => 1
{{1},{2,4,5,6,7,8},{3}} => {{1},{2,4,5,6,7,8},{3}} => 1
{{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}} => 1
{{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}} => 1
{{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}} => 1
{{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}} => 1
{{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}} => 1
{{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}} => {{1,2},{3,4,5,6,7,8}} => 1
{{1,4,5,6,7,8},{2},{3}} => {{1,4,5,6,7,8},{2},{3}} => 1
{{1,3,5,6,7,8},{2},{4}} => {{1,3,5,6,7,8},{2},{4}} => 1
{{1,3,4,5,6,7,8},{2}} => {{1,3,4,5,6,7,8},{2}} => 1
{{1,4,5,6,7,8},{2,3}} => {{1,3},{2,4,5,6,7,8}} => 2
{{1,2,4,5,6,7,8},{3}} => {{1,2,4,5,6,7,8},{3}} => 1
{{1,5,6,7,8},{2,3,4}} => {{1,3,5,6,7,8},{2,4}} => 2
{{1,2,3,5,6,7,8},{4}} => {{1,2,3,5,6,7,8},{4}} => 1
{{1,2,6,7,8},{3,4,5}} => {{1,2,4,6,7,8},{3,5}} => 2
{{1,2,3,4,6,7,8},{5}} => {{1,2,3,4,6,7,8},{5}} => 1
{{1,2,3,4,5,6},{7,8}} => {{1,2,3,4,5,6},{7,8}} => 1
{{1,2,3,7,8},{4,5,6}} => {{1,2,3,5,7,8},{4,6}} => 2
{{1,2,3,4,5,7,8},{6}} => {{1,2,3,4,5,7,8},{6}} => 1
{{1,2,3,4,5,6,7},{8}} => {{1,2,3,4,5,6,7},{8}} => 1
{{1,2,3,4,8},{5,6,7}} => {{1,2,3,4,6,8},{5,7}} => 2
{{1,2,3,4,5,8},{6,7}} => {{1,2,3,4,5,7},{6,8}} => 2
{{1,2,3,4,5,6,8},{7}} => {{1,2,3,4,5,6,8},{7}} => 1
{{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}} => {{1,2,3,4,5,8},{6,7}} => 1
{{1,2,3,6,8},{4,5,7}} => {{1,2,3,5,6,7},{4,8}} => 2
{{1,2,3,6,7},{4,5,8}} => {{1,2,3,5,6,8},{4,7}} => 2
{{1,2,3,4,7},{5,6,8}} => {{1,2,3,4,6,7},{5,8}} => 2
{{1,2,3,4,6},{5,7,8}} => {{1,2,3,4,7,8},{5,6}} => 1
{{1,3,5,7},{2,4,6,8}} => {{1,8},{2,3,4,5,6,7}} => 1
{{1,2,5,7},{3,4,6,8}} => {{1,2,4,5,6,7},{3,8}} => 2
{{1,3,5,6},{2,4,7,8}} => {{1,6},{2,3,4,5,7,8}} => 2
{{1,2,5,6},{3,4,7,8}} => {{1,2,4,5,7,8},{3,6}} => 2
{{1,2,3,5},{4,6,7,8}} => {{1,2,3,6,7,8},{4,5}} => 1
{{1,3},{2,4,5,6,7,8}} => {{1,4,5,6,7,8},{2,3}} => 1
{{1,4,6,7},{2,3,5,8}} => {{1,3,4,5,6,8},{2,7}} => 2
{{1,2,4},{3,5,6,7,8}} => {{1,2,5,6,7,8},{3,4}} => 1
{{1,3,4},{2,5,6,7,8}} => {{1,4},{2,3,5,6,7,8}} => 2
{{1,3,6,7,8},{2,4,5}} => {{1,5},{2,3,4,6,7,8}} => 2
{{1,2,5,8},{3,4,6,7}} => {{1,2,4,5,6,8},{3,7}} => 2
{{1,4,6,8},{2,3,5,7}} => {{1,3,4,5,6,7},{2,8}} => 2
{{1,4,7,8},{2,3,5,6}} => {{1,3,4,5,7,8},{2,6}} => 2
{{1,4,5},{2,3,6,7,8}} => {{1,3,4,6,7,8},{2,5}} => 2
{{1,3,5,8},{2,4,6,7}} => {{1,7},{2,3,4,5,6,8}} => 2
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,4 1,13,1 1,41,10 1,131,70,1 1,428,430,18
F2=1+q
F3=1+4 q
F4=1+13 q+q2
F5=1+41 q+10 q2
F6=1+131 q+70 q2+q3
F7=1+428 q+430 q2+18 q3
Description
The crossing number of a set partition.
This is the maximal number of chords in the standard representation of a set partition, that mutually cross.
This is the maximal number of chords in the standard representation of a set partition, that mutually cross.
Map
Chen Deng Du Stanley Yan
Description
A map that swaps the crossing number and the nesting number of a set partition.
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