Identifier
-
Mp00112:
Set partitions
—complement⟶
Set partitions
St000554: Set partitions ⟶ ℤ
Values
{{1,2}} => {{1,2}} => 0
{{1},{2}} => {{1},{2}} => 0
{{1,2,3}} => {{1,2,3}} => 0
{{1,2},{3}} => {{1},{2,3}} => 0
{{1,3},{2}} => {{1,3},{2}} => 0
{{1},{2,3}} => {{1,2},{3}} => 1
{{1},{2},{3}} => {{1},{2},{3}} => 0
{{1,2,3,4}} => {{1,2,3,4}} => 0
{{1,2,3},{4}} => {{1},{2,3,4}} => 0
{{1,2,4},{3}} => {{1,3,4},{2}} => 0
{{1,2},{3,4}} => {{1,2},{3,4}} => 2
{{1,2},{3},{4}} => {{1},{2},{3,4}} => 0
{{1,3,4},{2}} => {{1,2,4},{3}} => 1
{{1,3},{2,4}} => {{1,3},{2,4}} => 1
{{1,3},{2},{4}} => {{1},{2,4},{3}} => 0
{{1,4},{2,3}} => {{1,4},{2,3}} => 1
{{1},{2,3,4}} => {{1,2,3},{4}} => 3
{{1},{2,3},{4}} => {{1},{2,3},{4}} => 1
{{1,4},{2},{3}} => {{1,4},{2},{3}} => 0
{{1},{2,4},{3}} => {{1,3},{2},{4}} => 1
{{1},{2},{3,4}} => {{1,2},{3},{4}} => 2
{{1},{2},{3},{4}} => {{1},{2},{3},{4}} => 0
{{1,2,3,4,5}} => {{1,2,3,4,5}} => 0
{{1,2,3,4},{5}} => {{1},{2,3,4,5}} => 0
{{1,2,3,5},{4}} => {{1,3,4,5},{2}} => 0
{{1,2,3},{4,5}} => {{1,2},{3,4,5}} => 3
{{1,2,3},{4},{5}} => {{1},{2},{3,4,5}} => 0
{{1,2,4,5},{3}} => {{1,2,4,5},{3}} => 1
{{1,2,4},{3,5}} => {{1,3},{2,4,5}} => 2
{{1,2,4},{3},{5}} => {{1},{2,4,5},{3}} => 0
{{1,2,5},{3,4}} => {{1,4,5},{2,3}} => 2
{{1,2},{3,4,5}} => {{1,2,3},{4,5}} => 6
{{1,2},{3,4},{5}} => {{1},{2,3},{4,5}} => 2
{{1,2,5},{3},{4}} => {{1,4,5},{2},{3}} => 0
{{1,2},{3,5},{4}} => {{1,3},{2},{4,5}} => 2
{{1,2},{3},{4,5}} => {{1,2},{3},{4,5}} => 3
{{1,2},{3},{4},{5}} => {{1},{2},{3},{4,5}} => 0
{{1,3,4,5},{2}} => {{1,2,3,5},{4}} => 3
{{1,3,4},{2,5}} => {{1,4},{2,3,5}} => 2
{{1,3,4},{2},{5}} => {{1},{2,3,5},{4}} => 1
{{1,3,5},{2,4}} => {{1,3,5},{2,4}} => 2
{{1,3},{2,4,5}} => {{1,2,4},{3,5}} => 4
{{1,3},{2,4},{5}} => {{1},{2,4},{3,5}} => 1
{{1,3,5},{2},{4}} => {{1,3,5},{2},{4}} => 1
{{1,3},{2,5},{4}} => {{1,4},{2},{3,5}} => 1
{{1,3},{2},{4,5}} => {{1,2},{3,5},{4}} => 3
{{1,3},{2},{4},{5}} => {{1},{2},{3,5},{4}} => 0
{{1,4,5},{2,3}} => {{1,2,5},{3,4}} => 3
{{1,4},{2,3,5}} => {{1,3,4},{2,5}} => 3
{{1,4},{2,3},{5}} => {{1},{2,5},{3,4}} => 1
{{1,5},{2,3,4}} => {{1,5},{2,3,4}} => 3
{{1},{2,3,4,5}} => {{1,2,3,4},{5}} => 6
{{1},{2,3,4},{5}} => {{1},{2,3,4},{5}} => 3
{{1,5},{2,3},{4}} => {{1,5},{2},{3,4}} => 1
{{1},{2,3,5},{4}} => {{1,3,4},{2},{5}} => 3
{{1},{2,3},{4,5}} => {{1,2},{3,4},{5}} => 4
{{1},{2,3},{4},{5}} => {{1},{2},{3,4},{5}} => 1
{{1,4,5},{2},{3}} => {{1,2,5},{3},{4}} => 2
{{1,4},{2,5},{3}} => {{1,4},{2,5},{3}} => 1
{{1,4},{2},{3,5}} => {{1,3},{2,5},{4}} => 2
{{1,4},{2},{3},{5}} => {{1},{2,5},{3},{4}} => 0
{{1,5},{2,4},{3}} => {{1,5},{2,4},{3}} => 1
{{1},{2,4,5},{3}} => {{1,2,4},{3},{5}} => 4
{{1},{2,4},{3,5}} => {{1,3},{2,4},{5}} => 3
{{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => 1
{{1,5},{2},{3,4}} => {{1,5},{2,3},{4}} => 2
{{1},{2,5},{3,4}} => {{1,4},{2,3},{5}} => 3
{{1},{2},{3,4,5}} => {{1,2,3},{4},{5}} => 6
{{1},{2},{3,4},{5}} => {{1},{2,3},{4},{5}} => 2
{{1,5},{2},{3},{4}} => {{1,5},{2},{3},{4}} => 0
{{1},{2,5},{3},{4}} => {{1,4},{2},{3},{5}} => 1
{{1},{2},{3,5},{4}} => {{1,3},{2},{4},{5}} => 2
{{1},{2},{3},{4,5}} => {{1,2},{3},{4},{5}} => 3
{{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} => 0
{{1,2,3,4,5,6}} => {{1,2,3,4,5,6}} => 0
{{1,2,3,4,5},{6}} => {{1},{2,3,4,5,6}} => 0
{{1,2,3,4,6},{5}} => {{1,3,4,5,6},{2}} => 0
{{1,2,3,4},{5,6}} => {{1,2},{3,4,5,6}} => 4
{{1,2,3,4},{5},{6}} => {{1},{2},{3,4,5,6}} => 0
{{1,2,3,5,6},{4}} => {{1,2,4,5,6},{3}} => 1
{{1,2,3,5},{4,6}} => {{1,3},{2,4,5,6}} => 3
{{1,2,3,5},{4},{6}} => {{1},{2,4,5,6},{3}} => 0
{{1,2,3,6},{4,5}} => {{1,4,5,6},{2,3}} => 3
{{1,2,3},{4,5,6}} => {{1,2,3},{4,5,6}} => 9
{{1,2,3},{4,5},{6}} => {{1},{2,3},{4,5,6}} => 3
{{1,2,3,6},{4},{5}} => {{1,4,5,6},{2},{3}} => 0
{{1,2,3},{4,6},{5}} => {{1,3},{2},{4,5,6}} => 3
{{1,2,3},{4},{5,6}} => {{1,2},{3},{4,5,6}} => 4
{{1,2,3},{4},{5},{6}} => {{1},{2},{3},{4,5,6}} => 0
{{1,2,4,5,6},{3}} => {{1,2,3,5,6},{4}} => 3
{{1,2,4,5},{3,6}} => {{1,4},{2,3,5,6}} => 3
{{1,2,4,5},{3},{6}} => {{1},{2,3,5,6},{4}} => 1
{{1,2,4,6},{3,5}} => {{1,3,5,6},{2,4}} => 3
{{1,2,4},{3,5,6}} => {{1,2,4},{3,5,6}} => 7
{{1,2,4},{3,5},{6}} => {{1},{2,4},{3,5,6}} => 2
{{1,2,4,6},{3},{5}} => {{1,3,5,6},{2},{4}} => 1
{{1,2,4},{3,6},{5}} => {{1,4},{2},{3,5,6}} => 2
{{1,2,4},{3},{5,6}} => {{1,2},{3,5,6},{4}} => 4
{{1,2,4},{3},{5},{6}} => {{1},{2},{3,5,6},{4}} => 0
{{1,2,5,6},{3,4}} => {{1,2,5,6},{3,4}} => 4
{{1,2,5},{3,4,6}} => {{1,3,4},{2,5,6}} => 6
>>> Load all 1200 entries. <<<{{1,2,5},{3,4},{6}} => {{1},{2,5,6},{3,4}} => 2
{{1,2,6},{3,4,5}} => {{1,5,6},{2,3,4}} => 6
{{1,2},{3,4,5,6}} => {{1,2,3,4},{5,6}} => 12
{{1,2},{3,4,5},{6}} => {{1},{2,3,4},{5,6}} => 6
{{1,2,6},{3,4},{5}} => {{1,5,6},{2},{3,4}} => 2
{{1,2},{3,4,6},{5}} => {{1,3,4},{2},{5,6}} => 6
{{1,2},{3,4},{5,6}} => {{1,2},{3,4},{5,6}} => 6
{{1,2},{3,4},{5},{6}} => {{1},{2},{3,4},{5,6}} => 2
{{1,2,5,6},{3},{4}} => {{1,2,5,6},{3},{4}} => 2
{{1,2,5},{3,6},{4}} => {{1,4},{2,5,6},{3}} => 2
{{1,2,5},{3},{4,6}} => {{1,3},{2,5,6},{4}} => 3
{{1,2,5},{3},{4},{6}} => {{1},{2,5,6},{3},{4}} => 0
{{1,2,6},{3,5},{4}} => {{1,5,6},{2,4},{3}} => 2
{{1,2},{3,5,6},{4}} => {{1,2,4},{3},{5,6}} => 7
{{1,2},{3,5},{4,6}} => {{1,3},{2,4},{5,6}} => 5
{{1,2},{3,5},{4},{6}} => {{1},{2,4},{3},{5,6}} => 2
{{1,2,6},{3},{4,5}} => {{1,5,6},{2,3},{4}} => 3
{{1,2},{3,6},{4,5}} => {{1,4},{2,3},{5,6}} => 5
{{1,2},{3},{4,5,6}} => {{1,2,3},{4},{5,6}} => 9
{{1,2},{3},{4,5},{6}} => {{1},{2,3},{4},{5,6}} => 3
{{1,2,6},{3},{4},{5}} => {{1,5,6},{2},{3},{4}} => 0
{{1,2},{3,6},{4},{5}} => {{1,4},{2},{3},{5,6}} => 2
{{1,2},{3},{4,6},{5}} => {{1,3},{2},{4},{5,6}} => 3
{{1,2},{3},{4},{5,6}} => {{1,2},{3},{4},{5,6}} => 4
{{1,2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,6}} => 0
{{1,3,4,5,6},{2}} => {{1,2,3,4,6},{5}} => 6
{{1,3,4,5},{2,6}} => {{1,5},{2,3,4,6}} => 4
{{1,3,4,5},{2},{6}} => {{1},{2,3,4,6},{5}} => 3
{{1,3,4,6},{2,5}} => {{1,3,4,6},{2,5}} => 4
{{1,3,4},{2,5,6}} => {{1,2,5},{3,4,6}} => 6
{{1,3,4},{2,5},{6}} => {{1},{2,5},{3,4,6}} => 2
{{1,3,4,6},{2},{5}} => {{1,3,4,6},{2},{5}} => 3
{{1,3,4},{2,6},{5}} => {{1,5},{2},{3,4,6}} => 2
{{1,3,4},{2},{5,6}} => {{1,2},{3,4,6},{5}} => 5
{{1,3,4},{2},{5},{6}} => {{1},{2},{3,4,6},{5}} => 1
{{1,3,5,6},{2,4}} => {{1,2,4,6},{3,5}} => 5
{{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}} => 5
{{1,3,5},{2,4},{6}} => {{1},{2,4,6},{3,5}} => 2
{{1,3,6},{2,4,5}} => {{1,4,6},{2,3,5}} => 5
{{1,3},{2,4,5,6}} => {{1,2,3,5},{4,6}} => 9
{{1,3},{2,4,5},{6}} => {{1},{2,3,5},{4,6}} => 4
{{1,3,6},{2,4},{5}} => {{1,4,6},{2},{3,5}} => 2
{{1,3},{2,4,6},{5}} => {{1,3,5},{2},{4,6}} => 4
{{1,3},{2,4},{5,6}} => {{1,2},{3,5},{4,6}} => 5
{{1,3},{2,4},{5},{6}} => {{1},{2},{3,5},{4,6}} => 1
{{1,3,5,6},{2},{4}} => {{1,2,4,6},{3},{5}} => 4
{{1,3,5},{2,6},{4}} => {{1,5},{2,4,6},{3}} => 2
{{1,3,5},{2},{4,6}} => {{1,3},{2,4,6},{5}} => 4
{{1,3,5},{2},{4},{6}} => {{1},{2,4,6},{3},{5}} => 1
{{1,3,6},{2,5},{4}} => {{1,4,6},{2,5},{3}} => 2
{{1,3},{2,5,6},{4}} => {{1,2,5},{3},{4,6}} => 5
{{1,3},{2,5},{4,6}} => {{1,3},{2,5},{4,6}} => 4
{{1,3},{2,5},{4},{6}} => {{1},{2,5},{3},{4,6}} => 1
{{1,3,6},{2},{4,5}} => {{1,4,6},{2,3},{5}} => 4
{{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} => 4
{{1,3},{2},{4,5,6}} => {{1,2,3},{4,6},{5}} => 9
{{1,3},{2},{4,5},{6}} => {{1},{2,3},{4,6},{5}} => 3
{{1,3,6},{2},{4},{5}} => {{1,4,6},{2},{3},{5}} => 1
{{1,3},{2,6},{4},{5}} => {{1,5},{2},{3},{4,6}} => 1
{{1,3},{2},{4,6},{5}} => {{1,3},{2},{4,6},{5}} => 3
{{1,3},{2},{4},{5,6}} => {{1,2},{3},{4,6},{5}} => 4
{{1,3},{2},{4},{5},{6}} => {{1},{2},{3},{4,6},{5}} => 0
{{1,4,5,6},{2,3}} => {{1,2,3,6},{4,5}} => 7
{{1,4,5},{2,3,6}} => {{1,4,5},{2,3,6}} => 5
{{1,4,5},{2,3},{6}} => {{1},{2,3,6},{4,5}} => 3
{{1,4,6},{2,3,5}} => {{1,3,6},{2,4,5}} => 5
{{1,4},{2,3,5,6}} => {{1,2,4,5},{3,6}} => 7
{{1,4},{2,3,5},{6}} => {{1},{2,4,5},{3,6}} => 3
{{1,4,6},{2,3},{5}} => {{1,3,6},{2},{4,5}} => 3
{{1,4},{2,3,6},{5}} => {{1,4,5},{2},{3,6}} => 3
{{1,4},{2,3},{5,6}} => {{1,2},{3,6},{4,5}} => 5
{{1,4},{2,3},{5},{6}} => {{1},{2},{3,6},{4,5}} => 1
{{1,5,6},{2,3,4}} => {{1,2,6},{3,4,5}} => 6
{{1,5},{2,3,4,6}} => {{1,3,4,5},{2,6}} => 6
{{1,5},{2,3,4},{6}} => {{1},{2,6},{3,4,5}} => 3
{{1,6},{2,3,4,5}} => {{1,6},{2,3,4,5}} => 6
{{1},{2,3,4,5,6}} => {{1,2,3,4,5},{6}} => 10
{{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}} => 6
{{1,6},{2,3,4},{5}} => {{1,6},{2},{3,4,5}} => 3
{{1},{2,3,4,6},{5}} => {{1,3,4,5},{2},{6}} => 6
{{1},{2,3,4},{5,6}} => {{1,2},{3,4,5},{6}} => 7
{{1},{2,3,4},{5},{6}} => {{1},{2},{3,4,5},{6}} => 3
{{1,5,6},{2,3},{4}} => {{1,2,6},{3},{4,5}} => 4
{{1,5},{2,3,6},{4}} => {{1,4,5},{2,6},{3}} => 3
{{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} => 4
{{1,5},{2,3},{4},{6}} => {{1},{2,6},{3},{4,5}} => 1
{{1,6},{2,3,5},{4}} => {{1,6},{2,4,5},{3}} => 3
{{1},{2,3,5,6},{4}} => {{1,2,4,5},{3},{6}} => 7
{{1},{2,3,5},{4,6}} => {{1,3},{2,4,5},{6}} => 6
{{1},{2,3,5},{4},{6}} => {{1},{2,4,5},{3},{6}} => 3
{{1,6},{2,3},{4,5}} => {{1,6},{2,3},{4,5}} => 4
{{1},{2,3,6},{4,5}} => {{1,4,5},{2,3},{6}} => 6
{{1},{2,3},{4,5,6}} => {{1,2,3},{4,5},{6}} => 10
{{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}} => 4
{{1,6},{2,3},{4},{5}} => {{1,6},{2},{3},{4,5}} => 1
{{1},{2,3,6},{4},{5}} => {{1,4,5},{2},{3},{6}} => 3
{{1},{2,3},{4,6},{5}} => {{1,3},{2},{4,5},{6}} => 4
{{1},{2,3},{4},{5,6}} => {{1,2},{3},{4,5},{6}} => 5
{{1},{2,3},{4},{5},{6}} => {{1},{2},{3},{4,5},{6}} => 1
{{1,4,5,6},{2},{3}} => {{1,2,3,6},{4},{5}} => 6
{{1,4,5},{2,6},{3}} => {{1,5},{2,3,6},{4}} => 3
{{1,4,5},{2},{3,6}} => {{1,4},{2,3,6},{5}} => 4
{{1,4,5},{2},{3},{6}} => {{1},{2,3,6},{4},{5}} => 2
{{1,4,6},{2,5},{3}} => {{1,3,6},{2,5},{4}} => 3
{{1,4},{2,5,6},{3}} => {{1,2,5},{3,6},{4}} => 5
{{1,4},{2,5},{3,6}} => {{1,4},{2,5},{3,6}} => 3
{{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,6},{4}} => 1
{{1,4,6},{2},{3,5}} => {{1,3,6},{2,4},{5}} => 4
{{1,4},{2,6},{3,5}} => {{1,5},{2,4},{3,6}} => 3
{{1,4},{2},{3,5,6}} => {{1,2,4},{3,6},{5}} => 7
{{1,4},{2},{3,5},{6}} => {{1},{2,4},{3,6},{5}} => 2
{{1,4,6},{2},{3},{5}} => {{1,3,6},{2},{4},{5}} => 2
{{1,4},{2,6},{3},{5}} => {{1,5},{2},{3,6},{4}} => 1
{{1,4},{2},{3,6},{5}} => {{1,4},{2},{3,6},{5}} => 2
{{1,4},{2},{3},{5,6}} => {{1,2},{3,6},{4},{5}} => 4
{{1,4},{2},{3},{5},{6}} => {{1},{2},{3,6},{4},{5}} => 0
{{1,5,6},{2,4},{3}} => {{1,2,6},{3,5},{4}} => 4
{{1,5},{2,4,6},{3}} => {{1,3,5},{2,6},{4}} => 4
{{1,5},{2,4},{3,6}} => {{1,4},{2,6},{3,5}} => 3
{{1,5},{2,4},{3},{6}} => {{1},{2,6},{3,5},{4}} => 1
{{1,6},{2,4,5},{3}} => {{1,6},{2,3,5},{4}} => 4
{{1},{2,4,5,6},{3}} => {{1,2,3,5},{4},{6}} => 9
{{1},{2,4,5},{3,6}} => {{1,4},{2,3,5},{6}} => 6
{{1},{2,4,5},{3},{6}} => {{1},{2,3,5},{4},{6}} => 4
{{1,6},{2,4},{3,5}} => {{1,6},{2,4},{3,5}} => 3
{{1},{2,4,6},{3,5}} => {{1,3,5},{2,4},{6}} => 6
{{1},{2,4},{3,5,6}} => {{1,2,4},{3,5},{6}} => 8
{{1},{2,4},{3,5},{6}} => {{1},{2,4},{3,5},{6}} => 3
{{1,6},{2,4},{3},{5}} => {{1,6},{2},{3,5},{4}} => 1
{{1},{2,4,6},{3},{5}} => {{1,3,5},{2},{4},{6}} => 4
{{1},{2,4},{3,6},{5}} => {{1,4},{2},{3,5},{6}} => 3
{{1},{2,4},{3},{5,6}} => {{1,2},{3,5},{4},{6}} => 5
{{1},{2,4},{3},{5},{6}} => {{1},{2},{3,5},{4},{6}} => 1
{{1,5,6},{2},{3,4}} => {{1,2,6},{3,4},{5}} => 5
{{1,5},{2,6},{3,4}} => {{1,5},{2,6},{3,4}} => 3
{{1,5},{2},{3,4,6}} => {{1,3,4},{2,6},{5}} => 6
{{1,5},{2},{3,4},{6}} => {{1},{2,6},{3,4},{5}} => 2
{{1,6},{2,5},{3,4}} => {{1,6},{2,5},{3,4}} => 3
{{1},{2,5,6},{3,4}} => {{1,2,5},{3,4},{6}} => 7
{{1},{2,5},{3,4,6}} => {{1,3,4},{2,5},{6}} => 7
{{1},{2,5},{3,4},{6}} => {{1},{2,5},{3,4},{6}} => 3
{{1,6},{2},{3,4,5}} => {{1,6},{2,3,4},{5}} => 6
{{1},{2,6},{3,4,5}} => {{1,5},{2,3,4},{6}} => 7
{{1},{2},{3,4,5,6}} => {{1,2,3,4},{5},{6}} => 12
{{1},{2},{3,4,5},{6}} => {{1},{2,3,4},{5},{6}} => 6
{{1,6},{2},{3,4},{5}} => {{1,6},{2},{3,4},{5}} => 2
{{1},{2,6},{3,4},{5}} => {{1,5},{2},{3,4},{6}} => 3
{{1},{2},{3,4,6},{5}} => {{1,3,4},{2},{5},{6}} => 6
{{1},{2},{3,4},{5,6}} => {{1,2},{3,4},{5},{6}} => 6
{{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}} => 2
{{1,5,6},{2},{3},{4}} => {{1,2,6},{3},{4},{5}} => 3
{{1,5},{2,6},{3},{4}} => {{1,5},{2,6},{3},{4}} => 1
{{1,5},{2},{3,6},{4}} => {{1,4},{2,6},{3},{5}} => 2
{{1,5},{2},{3},{4,6}} => {{1,3},{2,6},{4},{5}} => 3
{{1,5},{2},{3},{4},{6}} => {{1},{2,6},{3},{4},{5}} => 0
{{1,6},{2,5},{3},{4}} => {{1,6},{2,5},{3},{4}} => 1
{{1},{2,5,6},{3},{4}} => {{1,2,5},{3},{4},{6}} => 5
{{1},{2,5},{3,6},{4}} => {{1,4},{2,5},{3},{6}} => 3
{{1},{2,5},{3},{4,6}} => {{1,3},{2,5},{4},{6}} => 4
{{1},{2,5},{3},{4},{6}} => {{1},{2,5},{3},{4},{6}} => 1
{{1,6},{2},{3,5},{4}} => {{1,6},{2,4},{3},{5}} => 2
{{1},{2,6},{3,5},{4}} => {{1,5},{2,4},{3},{6}} => 3
{{1},{2},{3,5,6},{4}} => {{1,2,4},{3},{5},{6}} => 7
{{1},{2},{3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => 5
{{1},{2},{3,5},{4},{6}} => {{1},{2,4},{3},{5},{6}} => 2
{{1,6},{2},{3},{4,5}} => {{1,6},{2,3},{4},{5}} => 3
{{1},{2,6},{3},{4,5}} => {{1,5},{2,3},{4},{6}} => 4
{{1},{2},{3,6},{4,5}} => {{1,4},{2,3},{5},{6}} => 5
{{1},{2},{3},{4,5,6}} => {{1,2,3},{4},{5},{6}} => 9
{{1},{2},{3},{4,5},{6}} => {{1},{2,3},{4},{5},{6}} => 3
{{1,6},{2},{3},{4},{5}} => {{1,6},{2},{3},{4},{5}} => 0
{{1},{2,6},{3},{4},{5}} => {{1,5},{2},{3},{4},{6}} => 1
{{1},{2},{3,6},{4},{5}} => {{1,4},{2},{3},{5},{6}} => 2
{{1},{2},{3},{4,6},{5}} => {{1,3},{2},{4},{5},{6}} => 3
{{1},{2},{3},{4},{5,6}} => {{1,2},{3},{4},{5},{6}} => 4
{{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}} => 0
{{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}} => 0
{{1,2,3,4,5,7},{6}} => {{1,3,4,5,6,7},{2}} => 0
{{1,2,3,4,5},{6,7}} => {{1,2},{3,4,5,6,7}} => 5
{{1,2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6,7}} => 0
{{1,2,3,4,6,7},{5}} => {{1,2,4,5,6,7},{3}} => 1
{{1,2,3,4,6},{5,7}} => {{1,3},{2,4,5,6,7}} => 4
{{1,2,3,4,6},{5},{7}} => {{1},{2,4,5,6,7},{3}} => 0
{{1,2,3,4,7},{5,6}} => {{1,4,5,6,7},{2,3}} => 4
{{1,2,3,4},{5,6,7}} => {{1,2,3},{4,5,6,7}} => 12
{{1,2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6,7}} => 4
{{1,2,3,4,7},{5},{6}} => {{1,4,5,6,7},{2},{3}} => 0
{{1,2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6,7}} => 4
{{1,2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6,7}} => 5
{{1,2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6,7}} => 0
{{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}} => 3
{{1,2,3,5,6},{4,7}} => {{1,4},{2,3,5,6,7}} => 4
{{1,2,3,5,6},{4},{7}} => {{1},{2,3,5,6,7},{4}} => 1
{{1,2,3,5,7},{4,6}} => {{1,3,5,6,7},{2,4}} => 4
{{1,2,3,5},{4,6,7}} => {{1,2,4},{3,5,6,7}} => 10
{{1,2,3,5},{4,6},{7}} => {{1},{2,4},{3,5,6,7}} => 3
{{1,2,3,5,7},{4},{6}} => {{1,3,5,6,7},{2},{4}} => 1
{{1,2,3,5},{4,7},{6}} => {{1,4},{2},{3,5,6,7}} => 3
{{1,2,3,5},{4},{6,7}} => {{1,2},{3,5,6,7},{4}} => 5
{{1,2,3,5},{4},{6},{7}} => {{1},{2},{3,5,6,7},{4}} => 0
{{1,2,3,6,7},{4,5}} => {{1,2,5,6,7},{3,4}} => 5
{{1,2,3,6},{4,5,7}} => {{1,3,4},{2,5,6,7}} => 9
{{1,2,3,6},{4,5},{7}} => {{1},{2,5,6,7},{3,4}} => 3
{{1,2,3,7},{4,5,6}} => {{1,5,6,7},{2,3,4}} => 9
{{1,2,3},{4,5,6,7}} => {{1,2,3,4},{5,6,7}} => 18
{{1,2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6,7}} => 9
{{1,2,3,7},{4,5},{6}} => {{1,5,6,7},{2},{3,4}} => 3
{{1,2,3},{4,5,7},{6}} => {{1,3,4},{2},{5,6,7}} => 9
{{1,2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6,7}} => 8
{{1,2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6,7}} => 3
{{1,2,3,6,7},{4},{5}} => {{1,2,5,6,7},{3},{4}} => 2
{{1,2,3,6},{4,7},{5}} => {{1,4},{2,5,6,7},{3}} => 3
{{1,2,3,6},{4},{5,7}} => {{1,3},{2,5,6,7},{4}} => 4
{{1,2,3,6},{4},{5},{7}} => {{1},{2,5,6,7},{3},{4}} => 0
{{1,2,3,7},{4,6},{5}} => {{1,5,6,7},{2,4},{3}} => 3
{{1,2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6,7}} => 10
{{1,2,3},{4,6},{5,7}} => {{1,3},{2,4},{5,6,7}} => 7
{{1,2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6,7}} => 3
{{1,2,3,7},{4},{5,6}} => {{1,5,6,7},{2,3},{4}} => 4
{{1,2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6,7}} => 7
{{1,2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6,7}} => 12
{{1,2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6,7}} => 4
{{1,2,3,7},{4},{5},{6}} => {{1,5,6,7},{2},{3},{4}} => 0
{{1,2,3},{4,7},{5},{6}} => {{1,4},{2},{3},{5,6,7}} => 3
{{1,2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6,7}} => 4
{{1,2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6,7}} => 5
{{1,2,3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,6,7}} => 0
{{1,2,4,5,6,7},{3}} => {{1,2,3,4,6,7},{5}} => 6
{{1,2,4,5,6},{3,7}} => {{1,5},{2,3,4,6,7}} => 5
{{1,2,4,5,6},{3},{7}} => {{1},{2,3,4,6,7},{5}} => 3
{{1,2,4,5,7},{3,6}} => {{1,3,4,6,7},{2,5}} => 5
{{1,2,4,5},{3,6,7}} => {{1,2,5},{3,4,6,7}} => 9
{{1,2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6,7}} => 3
{{1,2,4,5,7},{3},{6}} => {{1,3,4,6,7},{2},{5}} => 3
{{1,2,4,5},{3,7},{6}} => {{1,5},{2},{3,4,6,7}} => 3
{{1,2,4,5},{3},{6,7}} => {{1,2},{3,4,6,7},{5}} => 6
{{1,2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6,7},{5}} => 1
{{1,2,4,6,7},{3,5}} => {{1,2,4,6,7},{3,5}} => 6
{{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6,7}} => 8
{{1,2,4,6},{3,5},{7}} => {{1},{2,4,6,7},{3,5}} => 3
{{1,2,4,7},{3,5,6}} => {{1,4,6,7},{2,3,5}} => 8
{{1,2,4},{3,5,6,7}} => {{1,2,3,5},{4,6,7}} => 15
{{1,2,4},{3,5,6},{7}} => {{1},{2,3,5},{4,6,7}} => 7
{{1,2,4,7},{3,5},{6}} => {{1,4,6,7},{2},{3,5}} => 3
{{1,2,4},{3,5,7},{6}} => {{1,3,5},{2},{4,6,7}} => 7
{{1,2,4},{3,5},{6,7}} => {{1,2},{3,5},{4,6,7}} => 7
{{1,2,4},{3,5},{6},{7}} => {{1},{2},{3,5},{4,6,7}} => 2
{{1,2,4,6,7},{3},{5}} => {{1,2,4,6,7},{3},{5}} => 4
{{1,2,4,6},{3,7},{5}} => {{1,5},{2,4,6,7},{3}} => 3
{{1,2,4,6},{3},{5,7}} => {{1,3},{2,4,6,7},{5}} => 5
{{1,2,4,6},{3},{5},{7}} => {{1},{2,4,6,7},{3},{5}} => 1
{{1,2,4,7},{3,6},{5}} => {{1,4,6,7},{2,5},{3}} => 3
{{1,2,4},{3,6,7},{5}} => {{1,2,5},{3},{4,6,7}} => 8
{{1,2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => 6
{{1,2,4},{3,6},{5},{7}} => {{1},{2,5},{3},{4,6,7}} => 2
{{1,2,4,7},{3},{5,6}} => {{1,4,6,7},{2,3},{5}} => 5
{{1,2,4},{3,7},{5,6}} => {{1,5},{2,3},{4,6,7}} => 6
{{1,2,4},{3},{5,6,7}} => {{1,2,3},{4,6,7},{5}} => 12
{{1,2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6,7},{5}} => 4
{{1,2,4,7},{3},{5},{6}} => {{1,4,6,7},{2},{3},{5}} => 1
{{1,2,4},{3,7},{5},{6}} => {{1,5},{2},{3},{4,6,7}} => 2
{{1,2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6,7},{5}} => 4
{{1,2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6,7},{5}} => 5
{{1,2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6,7},{5}} => 0
{{1,2,5,6,7},{3,4}} => {{1,2,3,6,7},{4,5}} => 8
{{1,2,5,6},{3,4,7}} => {{1,4,5},{2,3,6,7}} => 8
{{1,2,5,6},{3,4},{7}} => {{1},{2,3,6,7},{4,5}} => 4
{{1,2,5,7},{3,4,6}} => {{1,3,6,7},{2,4,5}} => 8
{{1,2,5},{3,4,6,7}} => {{1,2,4,5},{3,6,7}} => 13
{{1,2,5},{3,4,6},{7}} => {{1},{2,4,5},{3,6,7}} => 6
{{1,2,5,7},{3,4},{6}} => {{1,3,6,7},{2},{4,5}} => 4
{{1,2,5},{3,4,7},{6}} => {{1,4,5},{2},{3,6,7}} => 6
{{1,2,5},{3,4},{6,7}} => {{1,2},{3,6,7},{4,5}} => 7
{{1,2,5},{3,4},{6},{7}} => {{1},{2},{3,6,7},{4,5}} => 2
{{1,2,6,7},{3,4,5}} => {{1,2,6,7},{3,4,5}} => 9
{{1,2,6},{3,4,5,7}} => {{1,3,4,5},{2,6,7}} => 12
{{1,2,6},{3,4,5},{7}} => {{1},{2,6,7},{3,4,5}} => 6
{{1,2,7},{3,4,5,6}} => {{1,6,7},{2,3,4,5}} => 12
{{1,2},{3,4,5,6,7}} => {{1,2,3,4,5},{6,7}} => 20
{{1,2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6,7}} => 12
{{1,2,7},{3,4,5},{6}} => {{1,6,7},{2},{3,4,5}} => 6
{{1,2},{3,4,5,7},{6}} => {{1,3,4,5},{2},{6,7}} => 12
{{1,2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6,7}} => 11
{{1,2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6,7}} => 6
{{1,2,6,7},{3,4},{5}} => {{1,2,6,7},{3},{4,5}} => 5
{{1,2,6},{3,4,7},{5}} => {{1,4,5},{2,6,7},{3}} => 6
{{1,2,6},{3,4},{5,7}} => {{1,3},{2,6,7},{4,5}} => 6
{{1,2,6},{3,4},{5},{7}} => {{1},{2,6,7},{3},{4,5}} => 2
{{1,2,7},{3,4,6},{5}} => {{1,6,7},{2,4,5},{3}} => 6
{{1,2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6,7}} => 13
{{1,2},{3,4,6},{5,7}} => {{1,3},{2,4,5},{6,7}} => 10
{{1,2},{3,4,6},{5},{7}} => {{1},{2,4,5},{3},{6,7}} => 6
{{1,2,7},{3,4},{5,6}} => {{1,6,7},{2,3},{4,5}} => 6
{{1,2},{3,4,7},{5,6}} => {{1,4,5},{2,3},{6,7}} => 10
{{1,2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6,7}} => 14
{{1,2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6,7}} => 6
{{1,2,7},{3,4},{5},{6}} => {{1,6,7},{2},{3},{4,5}} => 2
{{1,2},{3,4,7},{5},{6}} => {{1,4,5},{2},{3},{6,7}} => 6
{{1,2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6,7}} => 6
{{1,2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6,7}} => 7
{{1,2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6,7}} => 2
{{1,2,5,6,7},{3},{4}} => {{1,2,3,6,7},{4},{5}} => 6
{{1,2,5,6},{3,7},{4}} => {{1,5},{2,3,6,7},{4}} => 4
{{1,2,5,6},{3},{4,7}} => {{1,4},{2,3,6,7},{5}} => 5
{{1,2,5,6},{3},{4},{7}} => {{1},{2,3,6,7},{4},{5}} => 2
{{1,2,5,7},{3,6},{4}} => {{1,3,6,7},{2,5},{4}} => 4
{{1,2,5},{3,6,7},{4}} => {{1,2,5},{3,6,7},{4}} => 8
{{1,2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6,7}} => 5
{{1,2,5},{3,6},{4},{7}} => {{1},{2,5},{3,6,7},{4}} => 2
{{1,2,5,7},{3},{4,6}} => {{1,3,6,7},{2,4},{5}} => 5
{{1,2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => 5
{{1,2,5},{3},{4,6,7}} => {{1,2,4},{3,6,7},{5}} => 10
{{1,2,5},{3},{4,6},{7}} => {{1},{2,4},{3,6,7},{5}} => 3
{{1,2,5,7},{3},{4},{6}} => {{1,3,6,7},{2},{4},{5}} => 2
{{1,2,5},{3,7},{4},{6}} => {{1,5},{2},{3,6,7},{4}} => 2
{{1,2,5},{3},{4,7},{6}} => {{1,4},{2},{3,6,7},{5}} => 3
{{1,2,5},{3},{4},{6,7}} => {{1,2},{3,6,7},{4},{5}} => 5
{{1,2,5},{3},{4},{6},{7}} => {{1},{2},{3,6,7},{4},{5}} => 0
{{1,2,6,7},{3,5},{4}} => {{1,2,6,7},{3,5},{4}} => 5
{{1,2,6},{3,5,7},{4}} => {{1,3,5},{2,6,7},{4}} => 7
{{1,2,6},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => 5
{{1,2,6},{3,5},{4},{7}} => {{1},{2,6,7},{3,5},{4}} => 2
{{1,2,7},{3,5,6},{4}} => {{1,6,7},{2,3,5},{4}} => 7
{{1,2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6,7}} => 15
{{1,2},{3,5,6},{4,7}} => {{1,4},{2,3,5},{6,7}} => 10
{{1,2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6,7}} => 7
{{1,2,7},{3,5},{4,6}} => {{1,6,7},{2,4},{3,5}} => 5
{{1,2},{3,5,7},{4,6}} => {{1,3,5},{2,4},{6,7}} => 10
{{1,2},{3,5},{4,6,7}} => {{1,2,4},{3,5},{6,7}} => 12
{{1,2},{3,5},{4,6},{7}} => {{1},{2,4},{3,5},{6,7}} => 5
{{1,2,7},{3,5},{4},{6}} => {{1,6,7},{2},{3,5},{4}} => 2
{{1,2},{3,5,7},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => 7
{{1,2},{3,5},{4,7},{6}} => {{1,4},{2},{3,5},{6,7}} => 5
{{1,2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6,7}} => 7
{{1,2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6,7}} => 2
{{1,2,6,7},{3},{4,5}} => {{1,2,6,7},{3,4},{5}} => 6
{{1,2,6},{3,7},{4,5}} => {{1,5},{2,6,7},{3,4}} => 5
{{1,2,6},{3},{4,5,7}} => {{1,3,4},{2,6,7},{5}} => 9
{{1,2,6},{3},{4,5},{7}} => {{1},{2,6,7},{3,4},{5}} => 3
{{1,2,7},{3,6},{4,5}} => {{1,6,7},{2,5},{3,4}} => 5
{{1,2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6,7}} => 11
{{1,2},{3,6},{4,5,7}} => {{1,3,4},{2,5},{6,7}} => 11
{{1,2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6,7}} => 5
{{1,2,7},{3},{4,5,6}} => {{1,6,7},{2,3,4},{5}} => 9
{{1,2},{3,7},{4,5,6}} => {{1,5},{2,3,4},{6,7}} => 11
{{1,2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6,7}} => 18
{{1,2},{3},{4,5,6},{7}} => {{1},{2,3,4},{5},{6,7}} => 9
{{1,2,7},{3},{4,5},{6}} => {{1,6,7},{2},{3,4},{5}} => 3
{{1,2},{3,7},{4,5},{6}} => {{1,5},{2},{3,4},{6,7}} => 5
{{1,2},{3},{4,5,7},{6}} => {{1,3,4},{2},{5},{6,7}} => 9
{{1,2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6,7}} => 8
{{1,2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6,7}} => 3
{{1,2,6,7},{3},{4},{5}} => {{1,2,6,7},{3},{4},{5}} => 3
{{1,2,6},{3,7},{4},{5}} => {{1,5},{2,6,7},{3},{4}} => 2
{{1,2,6},{3},{4,7},{5}} => {{1,4},{2,6,7},{3},{5}} => 3
{{1,2,6},{3},{4},{5,7}} => {{1,3},{2,6,7},{4},{5}} => 4
{{1,2,6},{3},{4},{5},{7}} => {{1},{2,6,7},{3},{4},{5}} => 0
{{1,2,7},{3,6},{4},{5}} => {{1,6,7},{2,5},{3},{4}} => 2
{{1,2},{3,6,7},{4},{5}} => {{1,2,5},{3},{4},{6,7}} => 8
{{1,2},{3,6},{4,7},{5}} => {{1,4},{2,5},{3},{6,7}} => 5
{{1,2},{3,6},{4},{5,7}} => {{1,3},{2,5},{4},{6,7}} => 6
{{1,2},{3,6},{4},{5},{7}} => {{1},{2,5},{3},{4},{6,7}} => 2
{{1,2,7},{3},{4,6},{5}} => {{1,6,7},{2,4},{3},{5}} => 3
{{1,2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6,7}} => 5
{{1,2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6,7}} => 10
{{1,2},{3},{4,6},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 7
{{1,2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6,7}} => 3
{{1,2,7},{3},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => 4
{{1,2},{3,7},{4},{5,6}} => {{1,5},{2,3},{4},{6,7}} => 6
{{1,2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6,7}} => 7
{{1,2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6,7}} => 12
{{1,2},{3},{4},{5,6},{7}} => {{1},{2,3},{4},{5},{6,7}} => 4
{{1,2,7},{3},{4},{5},{6}} => {{1,6,7},{2},{3},{4},{5}} => 0
{{1,2},{3,7},{4},{5},{6}} => {{1,5},{2},{3},{4},{6,7}} => 2
{{1,2},{3},{4,7},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => 3
{{1,2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6,7}} => 4
{{1,2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6,7}} => 5
{{1,2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,7}} => 0
{{1,3,4,5,6,7},{2}} => {{1,2,3,4,5,7},{6}} => 10
{{1,3,4,5,6},{2,7}} => {{1,6},{2,3,4,5,7}} => 7
{{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,7},{6}} => 6
{{1,3,4,5,7},{2,6}} => {{1,3,4,5,7},{2,6}} => 7
{{1,3,4,5},{2,6,7}} => {{1,2,6},{3,4,5,7}} => 9
{{1,3,4,5},{2,6},{7}} => {{1},{2,6},{3,4,5,7}} => 4
{{1,3,4,5,7},{2},{6}} => {{1,3,4,5,7},{2},{6}} => 6
{{1,3,4,5},{2,7},{6}} => {{1,6},{2},{3,4,5,7}} => 4
{{1,3,4,5},{2},{6,7}} => {{1,2},{3,4,5,7},{6}} => 8
{{1,3,4,5},{2},{6},{7}} => {{1},{2},{3,4,5,7},{6}} => 3
{{1,3,4,6,7},{2,5}} => {{1,2,4,5,7},{3,6}} => 8
{{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,5,7}} => 8
{{1,3,4,6},{2,5},{7}} => {{1},{2,4,5,7},{3,6}} => 4
{{1,3,4,7},{2,5,6}} => {{1,4,5,7},{2,3,6}} => 8
{{1,3,4},{2,5,6,7}} => {{1,2,3,6},{4,5,7}} => 13
{{1,3,4},{2,5,6},{7}} => {{1},{2,3,6},{4,5,7}} => 6
{{1,3,4,7},{2,5},{6}} => {{1,4,5,7},{2},{3,6}} => 4
{{1,3,4},{2,5,7},{6}} => {{1,3,6},{2},{4,5,7}} => 6
{{1,3,4},{2,5},{6,7}} => {{1,2},{3,6},{4,5,7}} => 7
{{1,3,4},{2,5},{6},{7}} => {{1},{2},{3,6},{4,5,7}} => 2
{{1,3,4,6,7},{2},{5}} => {{1,2,4,5,7},{3},{6}} => 7
{{1,3,4,6},{2,7},{5}} => {{1,6},{2,4,5,7},{3}} => 4
{{1,3,4,6},{2},{5,7}} => {{1,3},{2,4,5,7},{6}} => 7
{{1,3,4,6},{2},{5},{7}} => {{1},{2,4,5,7},{3},{6}} => 3
{{1,3,4,7},{2,6},{5}} => {{1,4,5,7},{2,6},{3}} => 4
{{1,3,4},{2,6,7},{5}} => {{1,2,6},{3},{4,5,7}} => 7
{{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,5,7}} => 6
{{1,3,4},{2,6},{5},{7}} => {{1},{2,6},{3},{4,5,7}} => 2
{{1,3,4,7},{2},{5,6}} => {{1,4,5,7},{2,3},{6}} => 7
{{1,3,4},{2,7},{5,6}} => {{1,6},{2,3},{4,5,7}} => 6
{{1,3,4},{2},{5,6,7}} => {{1,2,3},{4,5,7},{6}} => 13
{{1,3,4},{2},{5,6},{7}} => {{1},{2,3},{4,5,7},{6}} => 5
{{1,3,4,7},{2},{5},{6}} => {{1,4,5,7},{2},{3},{6}} => 3
{{1,3,4},{2,7},{5},{6}} => {{1,6},{2},{3},{4,5,7}} => 2
{{1,3,4},{2},{5,7},{6}} => {{1,3},{2},{4,5,7},{6}} => 5
{{1,3,4},{2},{5},{6,7}} => {{1,2},{3},{4,5,7},{6}} => 6
{{1,3,4},{2},{5},{6},{7}} => {{1},{2},{3},{4,5,7},{6}} => 1
{{1,3,5,6,7},{2,4}} => {{1,2,3,5,7},{4,6}} => 10
{{1,3,5,6},{2,4,7}} => {{1,4,6},{2,3,5,7}} => 8
{{1,3,5,6},{2,4},{7}} => {{1},{2,3,5,7},{4,6}} => 5
{{1,3,5,7},{2,4,6}} => {{1,3,5,7},{2,4,6}} => 8
{{1,3,5},{2,4,6,7}} => {{1,2,4,6},{3,5,7}} => 11
{{1,3,5},{2,4,6},{7}} => {{1},{2,4,6},{3,5,7}} => 5
{{1,3,5,7},{2,4},{6}} => {{1,3,5,7},{2},{4,6}} => 5
{{1,3,5},{2,4,7},{6}} => {{1,4,6},{2},{3,5,7}} => 5
{{1,3,5},{2,4},{6,7}} => {{1,2},{3,5,7},{4,6}} => 7
{{1,3,5},{2,4},{6},{7}} => {{1},{2},{3,5,7},{4,6}} => 2
{{1,3,6,7},{2,4,5}} => {{1,2,5,7},{3,4,6}} => 9
{{1,3,6},{2,4,5,7}} => {{1,3,4,6},{2,5,7}} => 10
{{1,3,6},{2,4,5},{7}} => {{1},{2,5,7},{3,4,6}} => 5
{{1,3,7},{2,4,5,6}} => {{1,5,7},{2,3,4,6}} => 10
{{1,3},{2,4,5,6,7}} => {{1,2,3,4,6},{5,7}} => 16
{{1,3},{2,4,5,6},{7}} => {{1},{2,3,4,6},{5,7}} => 9
{{1,3,7},{2,4,5},{6}} => {{1,5,7},{2},{3,4,6}} => 5
{{1,3},{2,4,5,7},{6}} => {{1,3,4,6},{2},{5,7}} => 9
{{1,3},{2,4,5},{6,7}} => {{1,2},{3,4,6},{5,7}} => 9
{{1,3},{2,4,5},{6},{7}} => {{1},{2},{3,4,6},{5,7}} => 4
{{1,3,6,7},{2,4},{5}} => {{1,2,5,7},{3},{4,6}} => 6
{{1,3,6},{2,4,7},{5}} => {{1,4,6},{2,5,7},{3}} => 5
{{1,3,6},{2,4},{5,7}} => {{1,3},{2,5,7},{4,6}} => 6
{{1,3,6},{2,4},{5},{7}} => {{1},{2,5,7},{3},{4,6}} => 2
{{1,3,7},{2,4,6},{5}} => {{1,5,7},{2,4,6},{3}} => 5
{{1,3},{2,4,6,7},{5}} => {{1,2,4,6},{3},{5,7}} => 10
{{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}} => 8
{{1,3},{2,4,6},{5},{7}} => {{1},{2,4,6},{3},{5,7}} => 4
{{1,3,7},{2,4},{5,6}} => {{1,5,7},{2,3},{4,6}} => 6
{{1,3},{2,4,7},{5,6}} => {{1,4,6},{2,3},{5,7}} => 8
{{1,3},{2,4},{5,6,7}} => {{1,2,3},{4,6},{5,7}} => 13
{{1,3},{2,4},{5,6},{7}} => {{1},{2,3},{4,6},{5,7}} => 5
{{1,3,7},{2,4},{5},{6}} => {{1,5,7},{2},{3},{4,6}} => 2
{{1,3},{2,4,7},{5},{6}} => {{1,4,6},{2},{3},{5,7}} => 4
{{1,3},{2,4},{5,7},{6}} => {{1,3},{2},{4,6},{5,7}} => 5
{{1,3},{2,4},{5},{6,7}} => {{1,2},{3},{4,6},{5,7}} => 6
{{1,3},{2,4},{5},{6},{7}} => {{1},{2},{3},{4,6},{5,7}} => 1
{{1,3,5,6,7},{2},{4}} => {{1,2,3,5,7},{4},{6}} => 9
{{1,3,5,6},{2,7},{4}} => {{1,6},{2,3,5,7},{4}} => 5
{{1,3,5,6},{2},{4,7}} => {{1,4},{2,3,5,7},{6}} => 7
{{1,3,5,6},{2},{4},{7}} => {{1},{2,3,5,7},{4},{6}} => 4
{{1,3,5,7},{2,6},{4}} => {{1,3,5,7},{2,6},{4}} => 5
{{1,3,5},{2,6,7},{4}} => {{1,2,6},{3,5,7},{4}} => 7
{{1,3,5},{2,6},{4,7}} => {{1,4},{2,6},{3,5,7}} => 5
{{1,3,5},{2,6},{4},{7}} => {{1},{2,6},{3,5,7},{4}} => 2
{{1,3,5,7},{2},{4,6}} => {{1,3,5,7},{2,4},{6}} => 7
{{1,3,5},{2,7},{4,6}} => {{1,6},{2,4},{3,5,7}} => 5
{{1,3,5},{2},{4,6,7}} => {{1,2,4},{3,5,7},{6}} => 11
{{1,3,5},{2},{4,6},{7}} => {{1},{2,4},{3,5,7},{6}} => 4
{{1,3,5,7},{2},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => 4
{{1,3,5},{2,7},{4},{6}} => {{1,6},{2},{3,5,7},{4}} => 2
{{1,3,5},{2},{4,7},{6}} => {{1,4},{2},{3,5,7},{6}} => 4
{{1,3,5},{2},{4},{6,7}} => {{1,2},{3,5,7},{4},{6}} => 6
{{1,3,5},{2},{4},{6},{7}} => {{1},{2},{3,5,7},{4},{6}} => 1
{{1,3,6,7},{2,5},{4}} => {{1,2,5,7},{3,6},{4}} => 6
{{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,5,7},{4}} => 6
{{1,3,6},{2,5},{4,7}} => {{1,4},{2,5,7},{3,6}} => 5
{{1,3,6},{2,5},{4},{7}} => {{1},{2,5,7},{3,6},{4}} => 2
{{1,3,7},{2,5,6},{4}} => {{1,5,7},{2,3,6},{4}} => 6
{{1,3},{2,5,6,7},{4}} => {{1,2,3,6},{4},{5,7}} => 12
{{1,3},{2,5,6},{4,7}} => {{1,4},{2,3,6},{5,7}} => 8
{{1,3},{2,5,6},{4},{7}} => {{1},{2,3,6},{4},{5,7}} => 5
{{1,3,7},{2,5},{4,6}} => {{1,5,7},{2,4},{3,6}} => 5
{{1,3},{2,5,7},{4,6}} => {{1,3,6},{2,4},{5,7}} => 8
{{1,3},{2,5},{4,6,7}} => {{1,2,4},{3,6},{5,7}} => 11
{{1,3},{2,5},{4,6},{7}} => {{1},{2,4},{3,6},{5,7}} => 4
{{1,3,7},{2,5},{4},{6}} => {{1,5,7},{2},{3,6},{4}} => 2
{{1,3},{2,5,7},{4},{6}} => {{1,3,6},{2},{4},{5,7}} => 5
{{1,3},{2,5},{4,7},{6}} => {{1,4},{2},{3,6},{5,7}} => 4
{{1,3},{2,5},{4},{6,7}} => {{1,2},{3,6},{4},{5,7}} => 6
{{1,3},{2,5},{4},{6},{7}} => {{1},{2},{3,6},{4},{5,7}} => 1
{{1,3,6,7},{2},{4,5}} => {{1,2,5,7},{3,4},{6}} => 8
{{1,3,6},{2,7},{4,5}} => {{1,6},{2,5,7},{3,4}} => 5
{{1,3,6},{2},{4,5,7}} => {{1,3,4},{2,5,7},{6}} => 10
{{1,3,6},{2},{4,5},{7}} => {{1},{2,5,7},{3,4},{6}} => 4
{{1,3,7},{2,6},{4,5}} => {{1,5,7},{2,6},{3,4}} => 5
{{1,3},{2,6,7},{4,5}} => {{1,2,6},{3,4},{5,7}} => 9
{{1,3},{2,6},{4,5,7}} => {{1,3,4},{2,6},{5,7}} => 10
{{1,3},{2,6},{4,5},{7}} => {{1},{2,6},{3,4},{5,7}} => 4
{{1,3,7},{2},{4,5,6}} => {{1,5,7},{2,3,4},{6}} => 10
{{1,3},{2,7},{4,5,6}} => {{1,6},{2,3,4},{5,7}} => 10
{{1,3},{2},{4,5,6,7}} => {{1,2,3,4},{5,7},{6}} => 18
{{1,3},{2},{4,5,6},{7}} => {{1},{2,3,4},{5,7},{6}} => 9
{{1,3,7},{2},{4,5},{6}} => {{1,5,7},{2},{3,4},{6}} => 4
{{1,3},{2,7},{4,5},{6}} => {{1,6},{2},{3,4},{5,7}} => 4
{{1,3},{2},{4,5,7},{6}} => {{1,3,4},{2},{5,7},{6}} => 9
{{1,3},{2},{4,5},{6,7}} => {{1,2},{3,4},{5,7},{6}} => 8
{{1,3},{2},{4,5},{6},{7}} => {{1},{2},{3,4},{5,7},{6}} => 3
{{1,3,6,7},{2},{4},{5}} => {{1,2,5,7},{3},{4},{6}} => 5
{{1,3,6},{2,7},{4},{5}} => {{1,6},{2,5,7},{3},{4}} => 2
{{1,3,6},{2},{4,7},{5}} => {{1,4},{2,5,7},{3},{6}} => 4
{{1,3,6},{2},{4},{5,7}} => {{1,3},{2,5,7},{4},{6}} => 5
{{1,3,6},{2},{4},{5},{7}} => {{1},{2,5,7},{3},{4},{6}} => 1
{{1,3,7},{2,6},{4},{5}} => {{1,5,7},{2,6},{3},{4}} => 2
{{1,3},{2,6,7},{4},{5}} => {{1,2,6},{3},{4},{5,7}} => 6
{{1,3},{2,6},{4,7},{5}} => {{1,4},{2,6},{3},{5,7}} => 4
{{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4},{5,7}} => 5
{{1,3},{2,6},{4},{5},{7}} => {{1},{2,6},{3},{4},{5,7}} => 1
{{1,3,7},{2},{4,6},{5}} => {{1,5,7},{2,4},{3},{6}} => 4
{{1,3},{2,7},{4,6},{5}} => {{1,6},{2,4},{3},{5,7}} => 4
{{1,3},{2},{4,6,7},{5}} => {{1,2,4},{3},{5,7},{6}} => 10
{{1,3},{2},{4,6},{5,7}} => {{1,3},{2,4},{5,7},{6}} => 7
{{1,3},{2},{4,6},{5},{7}} => {{1},{2,4},{3},{5,7},{6}} => 3
{{1,3,7},{2},{4},{5,6}} => {{1,5,7},{2,3},{4},{6}} => 5
{{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => 5
{{1,3},{2},{4,7},{5,6}} => {{1,4},{2,3},{5,7},{6}} => 7
{{1,3},{2},{4},{5,6,7}} => {{1,2,3},{4},{5,7},{6}} => 12
{{1,3},{2},{4},{5,6},{7}} => {{1},{2,3},{4},{5,7},{6}} => 4
{{1,3,7},{2},{4},{5},{6}} => {{1,5,7},{2},{3},{4},{6}} => 1
{{1,3},{2,7},{4},{5},{6}} => {{1,6},{2},{3},{4},{5,7}} => 1
{{1,3},{2},{4,7},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => 3
{{1,3},{2},{4},{5,7},{6}} => {{1,3},{2},{4},{5,7},{6}} => 4
{{1,3},{2},{4},{5},{6,7}} => {{1,2},{3},{4},{5,7},{6}} => 5
{{1,3},{2},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,7},{6}} => 0
{{1,4,5,6,7},{2,3}} => {{1,2,3,4,7},{5,6}} => 13
{{1,4,5,6},{2,3,7}} => {{1,5,6},{2,3,4,7}} => 9
{{1,4,5,6},{2,3},{7}} => {{1},{2,3,4,7},{5,6}} => 7
{{1,4,5,7},{2,3,6}} => {{1,3,4,7},{2,5,6}} => 9
{{1,4,5},{2,3,6,7}} => {{1,2,5,6},{3,4,7}} => 10
{{1,4,5},{2,3,6},{7}} => {{1},{2,5,6},{3,4,7}} => 5
{{1,4,5,7},{2,3},{6}} => {{1,3,4,7},{2},{5,6}} => 7
{{1,4,5},{2,3,7},{6}} => {{1,5,6},{2},{3,4,7}} => 5
{{1,4,5},{2,3},{6,7}} => {{1,2},{3,4,7},{5,6}} => 8
{{1,4,5},{2,3},{6},{7}} => {{1},{2},{3,4,7},{5,6}} => 3
{{1,4,6,7},{2,3,5}} => {{1,2,4,7},{3,5,6}} => 10
{{1,4,6},{2,3,5,7}} => {{1,3,5,6},{2,4,7}} => 9
{{1,4,6},{2,3,5},{7}} => {{1},{2,4,7},{3,5,6}} => 5
{{1,4,7},{2,3,5,6}} => {{1,4,7},{2,3,5,6}} => 9
{{1,4},{2,3,5,6,7}} => {{1,2,3,5,6},{4,7}} => 13
{{1,4},{2,3,5,6},{7}} => {{1},{2,3,5,6},{4,7}} => 7
{{1,4,7},{2,3,5},{6}} => {{1,4,7},{2},{3,5,6}} => 5
{{1,4},{2,3,5,7},{6}} => {{1,3,5,6},{2},{4,7}} => 7
{{1,4},{2,3,5},{6,7}} => {{1,2},{3,5,6},{4,7}} => 8
{{1,4},{2,3,5},{6},{7}} => {{1},{2},{3,5,6},{4,7}} => 3
{{1,4,6,7},{2,3},{5}} => {{1,2,4,7},{3},{5,6}} => 8
{{1,4,6},{2,3,7},{5}} => {{1,5,6},{2,4,7},{3}} => 5
{{1,4,6},{2,3},{5,7}} => {{1,3},{2,4,7},{5,6}} => 7
{{1,4,6},{2,3},{5},{7}} => {{1},{2,4,7},{3},{5,6}} => 3
{{1,4,7},{2,3,6},{5}} => {{1,4,7},{2,5,6},{3}} => 5
{{1,4},{2,3,6,7},{5}} => {{1,2,5,6},{3},{4,7}} => 8
{{1,4},{2,3,6},{5,7}} => {{1,3},{2,5,6},{4,7}} => 7
{{1,4},{2,3,6},{5},{7}} => {{1},{2,5,6},{3},{4,7}} => 3
{{1,4,7},{2,3},{5,6}} => {{1,4,7},{2,3},{5,6}} => 7
{{1,4},{2,3,7},{5,6}} => {{1,5,6},{2,3},{4,7}} => 7
{{1,4},{2,3},{5,6,7}} => {{1,2,3},{4,7},{5,6}} => 13
{{1,4},{2,3},{5,6},{7}} => {{1},{2,3},{4,7},{5,6}} => 5
{{1,4,7},{2,3},{5},{6}} => {{1,4,7},{2},{3},{5,6}} => 3
{{1,4},{2,3,7},{5},{6}} => {{1,5,6},{2},{3},{4,7}} => 3
{{1,4},{2,3},{5,7},{6}} => {{1,3},{2},{4,7},{5,6}} => 5
{{1,4},{2,3},{5},{6,7}} => {{1,2},{3},{4,7},{5,6}} => 6
{{1,4},{2,3},{5},{6},{7}} => {{1},{2},{3},{4,7},{5,6}} => 1
{{1,5,6,7},{2,3,4}} => {{1,2,3,7},{4,5,6}} => 12
{{1,5,6},{2,3,4,7}} => {{1,4,5,6},{2,3,7}} => 9
{{1,5,6},{2,3,4},{7}} => {{1},{2,3,7},{4,5,6}} => 6
{{1,5,7},{2,3,4,6}} => {{1,3,7},{2,4,5,6}} => 9
{{1,5},{2,3,4,6,7}} => {{1,2,4,5,6},{3,7}} => 11
{{1,5},{2,3,4,6},{7}} => {{1},{2,4,5,6},{3,7}} => 6
{{1,5,7},{2,3,4},{6}} => {{1,3,7},{2},{4,5,6}} => 6
{{1,5},{2,3,4,7},{6}} => {{1,4,5,6},{2},{3,7}} => 6
{{1,5},{2,3,4},{6,7}} => {{1,2},{3,7},{4,5,6}} => 8
{{1,5},{2,3,4},{6},{7}} => {{1},{2},{3,7},{4,5,6}} => 3
{{1,6,7},{2,3,4,5}} => {{1,2,7},{3,4,5,6}} => 10
{{1,6},{2,3,4,5,7}} => {{1,3,4,5,6},{2,7}} => 10
{{1,6},{2,3,4,5},{7}} => {{1},{2,7},{3,4,5,6}} => 6
{{1,7},{2,3,4,5,6}} => {{1,7},{2,3,4,5,6}} => 10
{{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}} => 15
{{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}} => 10
{{1,7},{2,3,4,5},{6}} => {{1,7},{2},{3,4,5,6}} => 6
{{1},{2,3,4,5,7},{6}} => {{1,3,4,5,6},{2},{7}} => 10
{{1},{2,3,4,5},{6,7}} => {{1,2},{3,4,5,6},{7}} => 11
{{1},{2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6},{7}} => 6
{{1,6,7},{2,3,4},{5}} => {{1,2,7},{3},{4,5,6}} => 7
{{1,6},{2,3,4,7},{5}} => {{1,4,5,6},{2,7},{3}} => 6
{{1,6},{2,3,4},{5,7}} => {{1,3},{2,7},{4,5,6}} => 7
{{1,6},{2,3,4},{5},{7}} => {{1},{2,7},{3},{4,5,6}} => 3
{{1,7},{2,3,4,6},{5}} => {{1,7},{2,4,5,6},{3}} => 6
{{1},{2,3,4,6,7},{5}} => {{1,2,4,5,6},{3},{7}} => 11
{{1},{2,3,4,6},{5,7}} => {{1,3},{2,4,5,6},{7}} => 10
{{1},{2,3,4,6},{5},{7}} => {{1},{2,4,5,6},{3},{7}} => 6
{{1,7},{2,3,4},{5,6}} => {{1,7},{2,3},{4,5,6}} => 7
{{1},{2,3,4,7},{5,6}} => {{1,4,5,6},{2,3},{7}} => 10
{{1},{2,3,4},{5,6,7}} => {{1,2,3},{4,5,6},{7}} => 15
{{1},{2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6},{7}} => 7
{{1,7},{2,3,4},{5},{6}} => {{1,7},{2},{3},{4,5,6}} => 3
{{1},{2,3,4,7},{5},{6}} => {{1,4,5,6},{2},{3},{7}} => 6
{{1},{2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6},{7}} => 7
{{1},{2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6},{7}} => 8
{{1},{2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6},{7}} => 3
{{1,5,6,7},{2,3},{4}} => {{1,2,3,7},{4},{5,6}} => 10
{{1,5,6},{2,3,7},{4}} => {{1,5,6},{2,3,7},{4}} => 6
{{1,5,6},{2,3},{4,7}} => {{1,4},{2,3,7},{5,6}} => 7
{{1,5,6},{2,3},{4},{7}} => {{1},{2,3,7},{4},{5,6}} => 4
{{1,5,7},{2,3,6},{4}} => {{1,3,7},{2,5,6},{4}} => 6
{{1,5},{2,3,6,7},{4}} => {{1,2,5,6},{3,7},{4}} => 8
{{1,5},{2,3,6},{4,7}} => {{1,4},{2,5,6},{3,7}} => 6
{{1,5},{2,3,6},{4},{7}} => {{1},{2,5,6},{3,7},{4}} => 3
{{1,5,7},{2,3},{4,6}} => {{1,3,7},{2,4},{5,6}} => 7
{{1,5},{2,3,7},{4,6}} => {{1,5,6},{2,4},{3,7}} => 6
{{1,5},{2,3},{4,6,7}} => {{1,2,4},{3,7},{5,6}} => 11
{{1,5},{2,3},{4,6},{7}} => {{1},{2,4},{3,7},{5,6}} => 4
{{1,5,7},{2,3},{4},{6}} => {{1,3,7},{2},{4},{5,6}} => 4
{{1,5},{2,3,7},{4},{6}} => {{1,5,6},{2},{3,7},{4}} => 3
{{1,5},{2,3},{4,7},{6}} => {{1,4},{2},{3,7},{5,6}} => 4
{{1,5},{2,3},{4},{6,7}} => {{1,2},{3,7},{4},{5,6}} => 6
{{1,5},{2,3},{4},{6},{7}} => {{1},{2},{3,7},{4},{5,6}} => 1
{{1,6,7},{2,3,5},{4}} => {{1,2,7},{3,5,6},{4}} => 7
{{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2,7},{4}} => 7
{{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5,6}} => 6
{{1,6},{2,3,5},{4},{7}} => {{1},{2,7},{3,5,6},{4}} => 3
{{1,7},{2,3,5,6},{4}} => {{1,7},{2,3,5,6},{4}} => 7
{{1},{2,3,5,6,7},{4}} => {{1,2,3,5,6},{4},{7}} => 13
{{1},{2,3,5,6},{4,7}} => {{1,4},{2,3,5,6},{7}} => 10
{{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => 7
{{1,7},{2,3,5},{4,6}} => {{1,7},{2,4},{3,5,6}} => 6
{{1},{2,3,5,7},{4,6}} => {{1,3,5,6},{2,4},{7}} => 10
{{1},{2,3,5},{4,6,7}} => {{1,2,4},{3,5,6},{7}} => 13
{{1},{2,3,5},{4,6},{7}} => {{1},{2,4},{3,5,6},{7}} => 6
{{1,7},{2,3,5},{4},{6}} => {{1,7},{2},{3,5,6},{4}} => 3
{{1},{2,3,5,7},{4},{6}} => {{1,3,5,6},{2},{4},{7}} => 7
{{1},{2,3,5},{4,7},{6}} => {{1,4},{2},{3,5,6},{7}} => 6
{{1},{2,3,5},{4},{6,7}} => {{1,2},{3,5,6},{4},{7}} => 8
{{1},{2,3,5},{4},{6},{7}} => {{1},{2},{3,5,6},{4},{7}} => 3
{{1,6,7},{2,3},{4,5}} => {{1,2,7},{3,4},{5,6}} => 8
{{1,6},{2,3,7},{4,5}} => {{1,5,6},{2,7},{3,4}} => 6
{{1,6},{2,3},{4,5,7}} => {{1,3,4},{2,7},{5,6}} => 10
{{1,6},{2,3},{4,5},{7}} => {{1},{2,7},{3,4},{5,6}} => 4
{{1,7},{2,3,6},{4,5}} => {{1,7},{2,5,6},{3,4}} => 6
{{1},{2,3,6,7},{4,5}} => {{1,2,5,6},{3,4},{7}} => 11
{{1},{2,3,6},{4,5,7}} => {{1,3,4},{2,5,6},{7}} => 12
{{1},{2,3,6},{4,5},{7}} => {{1},{2,5,6},{3,4},{7}} => 6
{{1,7},{2,3},{4,5,6}} => {{1,7},{2,3,4},{5,6}} => 10
{{1},{2,3,7},{4,5,6}} => {{1,5,6},{2,3,4},{7}} => 12
{{1},{2,3},{4,5,6,7}} => {{1,2,3,4},{5,6},{7}} => 19
{{1},{2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6},{7}} => 10
{{1,7},{2,3},{4,5},{6}} => {{1,7},{2},{3,4},{5,6}} => 4
{{1},{2,3,7},{4,5},{6}} => {{1,5,6},{2},{3,4},{7}} => 6
{{1},{2,3},{4,5,7},{6}} => {{1,3,4},{2},{5,6},{7}} => 10
{{1},{2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6},{7}} => 9
{{1},{2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6},{7}} => 4
{{1,6,7},{2,3},{4},{5}} => {{1,2,7},{3},{4},{5,6}} => 5
{{1,6},{2,3,7},{4},{5}} => {{1,5,6},{2,7},{3},{4}} => 3
{{1,6},{2,3},{4,7},{5}} => {{1,4},{2,7},{3},{5,6}} => 4
{{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => 5
{{1,6},{2,3},{4},{5},{7}} => {{1},{2,7},{3},{4},{5,6}} => 1
{{1,7},{2,3,6},{4},{5}} => {{1,7},{2,5,6},{3},{4}} => 3
{{1},{2,3,6,7},{4},{5}} => {{1,2,5,6},{3},{4},{7}} => 8
{{1},{2,3,6},{4,7},{5}} => {{1,4},{2,5,6},{3},{7}} => 6
{{1},{2,3,6},{4},{5,7}} => {{1,3},{2,5,6},{4},{7}} => 7
{{1},{2,3,6},{4},{5},{7}} => {{1},{2,5,6},{3},{4},{7}} => 3
{{1,7},{2,3},{4,6},{5}} => {{1,7},{2,4},{3},{5,6}} => 4
{{1},{2,3,7},{4,6},{5}} => {{1,5,6},{2,4},{3},{7}} => 6
{{1},{2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6},{7}} => 11
{{1},{2,3},{4,6},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 8
{{1},{2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => 4
{{1,7},{2,3},{4},{5,6}} => {{1,7},{2,3},{4},{5,6}} => 5
{{1},{2,3,7},{4},{5,6}} => {{1,5,6},{2,3},{4},{7}} => 7
{{1},{2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6},{7}} => 8
{{1},{2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6},{7}} => 13
{{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}} => 5
{{1,7},{2,3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5,6}} => 1
{{1},{2,3,7},{4},{5},{6}} => {{1,5,6},{2},{3},{4},{7}} => 3
{{1},{2,3},{4,7},{5},{6}} => {{1,4},{2},{3},{5,6},{7}} => 4
{{1},{2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6},{7}} => 5
{{1},{2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6},{7}} => 6
{{1},{2,3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,6},{7}} => 1
{{1,4,5,6,7},{2},{3}} => {{1,2,3,4,7},{5},{6}} => 12
{{1,4,5,6},{2,7},{3}} => {{1,6},{2,3,4,7},{5}} => 7
{{1,4,5,6},{2},{3,7}} => {{1,5},{2,3,4,7},{6}} => 8
{{1,4,5,6},{2},{3},{7}} => {{1},{2,3,4,7},{5},{6}} => 6
{{1,4,5,7},{2,6},{3}} => {{1,3,4,7},{2,6},{5}} => 7
{{1,4,5},{2,6,7},{3}} => {{1,2,6},{3,4,7},{5}} => 8
{{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,4,7}} => 5
{{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,7},{5}} => 3
{{1,4,5,7},{2},{3,6}} => {{1,3,4,7},{2,5},{6}} => 8
{{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,4,7}} => 5
{{1,4,5},{2},{3,6,7}} => {{1,2,5},{3,4,7},{6}} => 10
{{1,4,5},{2},{3,6},{7}} => {{1},{2,5},{3,4,7},{6}} => 4
{{1,4,5,7},{2},{3},{6}} => {{1,3,4,7},{2},{5},{6}} => 6
{{1,4,5},{2,7},{3},{6}} => {{1,6},{2},{3,4,7},{5}} => 3
{{1,4,5},{2},{3,7},{6}} => {{1,5},{2},{3,4,7},{6}} => 4
{{1,4,5},{2},{3},{6,7}} => {{1,2},{3,4,7},{5},{6}} => 7
{{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,7},{5},{6}} => 2
{{1,4,6,7},{2,5},{3}} => {{1,2,4,7},{3,6},{5}} => 8
{{1,4,6},{2,5,7},{3}} => {{1,3,6},{2,4,7},{5}} => 7
{{1,4,6},{2,5},{3,7}} => {{1,5},{2,4,7},{3,6}} => 5
{{1,4,6},{2,5},{3},{7}} => {{1},{2,4,7},{3,6},{5}} => 3
{{1,4,7},{2,5,6},{3}} => {{1,4,7},{2,3,6},{5}} => 7
{{1,4},{2,5,6,7},{3}} => {{1,2,3,6},{4,7},{5}} => 12
{{1,4},{2,5,6},{3,7}} => {{1,5},{2,3,6},{4,7}} => 7
{{1,4},{2,5,6},{3},{7}} => {{1},{2,3,6},{4,7},{5}} => 5
{{1,4,7},{2,5},{3,6}} => {{1,4,7},{2,5},{3,6}} => 5
{{1,4},{2,5,7},{3,6}} => {{1,3,6},{2,5},{4,7}} => 7
{{1,4},{2,5},{3,6,7}} => {{1,2,5},{3,6},{4,7}} => 9
{{1,4},{2,5},{3,6},{7}} => {{1},{2,5},{3,6},{4,7}} => 3
{{1,4,7},{2,5},{3},{6}} => {{1,4,7},{2},{3,6},{5}} => 3
{{1,4},{2,5,7},{3},{6}} => {{1,3,6},{2},{4,7},{5}} => 5
{{1,4},{2,5},{3,7},{6}} => {{1,5},{2},{3,6},{4,7}} => 3
{{1,4},{2,5},{3},{6,7}} => {{1,2},{3,6},{4,7},{5}} => 6
{{1,4},{2,5},{3},{6},{7}} => {{1},{2},{3,6},{4,7},{5}} => 1
{{1,4,6,7},{2},{3,5}} => {{1,2,4,7},{3,5},{6}} => 9
{{1,4,6},{2,7},{3,5}} => {{1,6},{2,4,7},{3,5}} => 5
{{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,7},{6}} => 9
{{1,4,6},{2},{3,5},{7}} => {{1},{2,4,7},{3,5},{6}} => 4
{{1,4,7},{2,6},{3,5}} => {{1,4,7},{2,6},{3,5}} => 5
{{1,4},{2,6,7},{3,5}} => {{1,2,6},{3,5},{4,7}} => 8
{{1,4},{2,6},{3,5,7}} => {{1,3,5},{2,6},{4,7}} => 8
{{1,4},{2,6},{3,5},{7}} => {{1},{2,6},{3,5},{4,7}} => 3
{{1,4,7},{2},{3,5,6}} => {{1,4,7},{2,3,5},{6}} => 9
{{1,4},{2,7},{3,5,6}} => {{1,6},{2,3,5},{4,7}} => 8
{{1,4},{2},{3,5,6,7}} => {{1,2,3,5},{4,7},{6}} => 15
{{1,4},{2},{3,5,6},{7}} => {{1},{2,3,5},{4,7},{6}} => 7
{{1,4,7},{2},{3,5},{6}} => {{1,4,7},{2},{3,5},{6}} => 4
{{1,4},{2,7},{3,5},{6}} => {{1,6},{2},{3,5},{4,7}} => 3
{{1,4},{2},{3,5,7},{6}} => {{1,3,5},{2},{4,7},{6}} => 7
{{1,4},{2},{3,5},{6,7}} => {{1,2},{3,5},{4,7},{6}} => 7
{{1,4},{2},{3,5},{6},{7}} => {{1},{2},{3,5},{4,7},{6}} => 2
{{1,4,6,7},{2},{3},{5}} => {{1,2,4,7},{3},{5},{6}} => 7
{{1,4,6},{2,7},{3},{5}} => {{1,6},{2,4,7},{3},{5}} => 3
{{1,4,6},{2},{3,7},{5}} => {{1,5},{2,4,7},{3},{6}} => 4
{{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4,7},{5},{6}} => 6
{{1,4,6},{2},{3},{5},{7}} => {{1},{2,4,7},{3},{5},{6}} => 2
{{1,4,7},{2,6},{3},{5}} => {{1,4,7},{2,6},{3},{5}} => 3
{{1,4},{2,6,7},{3},{5}} => {{1,2,6},{3},{4,7},{5}} => 6
{{1,4},{2,6},{3,7},{5}} => {{1,5},{2,6},{3},{4,7}} => 3
{{1,4},{2,6},{3},{5,7}} => {{1,3},{2,6},{4,7},{5}} => 5
{{1,4},{2,6},{3},{5},{7}} => {{1},{2,6},{3},{4,7},{5}} => 1
{{1,4,7},{2},{3,6},{5}} => {{1,4,7},{2,5},{3},{6}} => 4
{{1,4},{2,7},{3,6},{5}} => {{1,6},{2,5},{3},{4,7}} => 3
{{1,4},{2},{3,6,7},{5}} => {{1,2,5},{3},{4,7},{6}} => 8
{{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}} => 6
{{1,4},{2},{3,6},{5},{7}} => {{1},{2,5},{3},{4,7},{6}} => 2
{{1,4,7},{2},{3},{5,6}} => {{1,4,7},{2,3},{5},{6}} => 6
{{1,4},{2,7},{3},{5,6}} => {{1,6},{2,3},{4,7},{5}} => 5
{{1,4},{2},{3,7},{5,6}} => {{1,5},{2,3},{4,7},{6}} => 6
{{1,4},{2},{3},{5,6,7}} => {{1,2,3},{4,7},{5},{6}} => 12
{{1,4},{2},{3},{5,6},{7}} => {{1},{2,3},{4,7},{5},{6}} => 4
{{1,4,7},{2},{3},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => 2
{{1,4},{2,7},{3},{5},{6}} => {{1,6},{2},{3},{4,7},{5}} => 1
{{1,4},{2},{3,7},{5},{6}} => {{1,5},{2},{3},{4,7},{6}} => 2
{{1,4},{2},{3},{5,7},{6}} => {{1,3},{2},{4,7},{5},{6}} => 4
{{1,4},{2},{3},{5},{6,7}} => {{1,2},{3},{4,7},{5},{6}} => 5
{{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3},{4,7},{5},{6}} => 0
{{1,5,6,7},{2,4},{3}} => {{1,2,3,7},{4,6},{5}} => 10
{{1,5,6},{2,4,7},{3}} => {{1,4,6},{2,3,7},{5}} => 7
{{1,5,6},{2,4},{3,7}} => {{1,5},{2,3,7},{4,6}} => 6
{{1,5,6},{2,4},{3},{7}} => {{1},{2,3,7},{4,6},{5}} => 4
{{1,5,7},{2,4,6},{3}} => {{1,3,7},{2,4,6},{5}} => 7
{{1,5},{2,4,6,7},{3}} => {{1,2,4,6},{3,7},{5}} => 10
{{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}} => 6
{{1,5},{2,4,6},{3},{7}} => {{1},{2,4,6},{3,7},{5}} => 4
{{1,5,7},{2,4},{3,6}} => {{1,3,7},{2,5},{4,6}} => 6
{{1,5},{2,4,7},{3,6}} => {{1,4,6},{2,5},{3,7}} => 6
{{1,5},{2,4},{3,6,7}} => {{1,2,5},{3,7},{4,6}} => 9
{{1,5},{2,4},{3,6},{7}} => {{1},{2,5},{3,7},{4,6}} => 3
{{1,5,7},{2,4},{3},{6}} => {{1,3,7},{2},{4,6},{5}} => 4
{{1,5},{2,4,7},{3},{6}} => {{1,4,6},{2},{3,7},{5}} => 4
{{1,5},{2,4},{3,7},{6}} => {{1,5},{2},{3,7},{4,6}} => 3
{{1,5},{2,4},{3},{6,7}} => {{1,2},{3,7},{4,6},{5}} => 6
{{1,5},{2,4},{3},{6},{7}} => {{1},{2},{3,7},{4,6},{5}} => 1
{{1,6,7},{2,4,5},{3}} => {{1,2,7},{3,4,6},{5}} => 8
{{1,6},{2,4,5,7},{3}} => {{1,3,4,6},{2,7},{5}} => 9
{{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,4,6}} => 6
{{1,6},{2,4,5},{3},{7}} => {{1},{2,7},{3,4,6},{5}} => 4
{{1,7},{2,4,5,6},{3}} => {{1,7},{2,3,4,6},{5}} => 9
{{1},{2,4,5,6,7},{3}} => {{1,2,3,4,6},{5},{7}} => 16
{{1},{2,4,5,6},{3,7}} => {{1,5},{2,3,4,6},{7}} => 11
{{1},{2,4,5,6},{3},{7}} => {{1},{2,3,4,6},{5},{7}} => 9
{{1,7},{2,4,5},{3,6}} => {{1,7},{2,5},{3,4,6}} => 6
{{1},{2,4,5,7},{3,6}} => {{1,3,4,6},{2,5},{7}} => 11
{{1},{2,4,5},{3,6,7}} => {{1,2,5},{3,4,6},{7}} => 12
{{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}} => 6
{{1,7},{2,4,5},{3},{6}} => {{1,7},{2},{3,4,6},{5}} => 4
{{1},{2,4,5,7},{3},{6}} => {{1,3,4,6},{2},{5},{7}} => 9
{{1},{2,4,5},{3,7},{6}} => {{1,5},{2},{3,4,6},{7}} => 6
{{1},{2,4,5},{3},{6,7}} => {{1,2},{3,4,6},{5},{7}} => 9
{{1},{2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6},{5},{7}} => 4
{{1,6,7},{2,4},{3,5}} => {{1,2,7},{3,5},{4,6}} => 7
{{1,6},{2,4,7},{3,5}} => {{1,4,6},{2,7},{3,5}} => 6
{{1,6},{2,4},{3,5,7}} => {{1,3,5},{2,7},{4,6}} => 8
{{1,6},{2,4},{3,5},{7}} => {{1},{2,7},{3,5},{4,6}} => 3
{{1,7},{2,4,6},{3,5}} => {{1,7},{2,4,6},{3,5}} => 6
{{1},{2,4,6,7},{3,5}} => {{1,2,4,6},{3,5},{7}} => 12
{{1},{2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 11
{{1},{2,4,6},{3,5},{7}} => {{1},{2,4,6},{3,5},{7}} => 6
{{1,7},{2,4},{3,5,6}} => {{1,7},{2,3,5},{4,6}} => 8
{{1},{2,4,7},{3,5,6}} => {{1,4,6},{2,3,5},{7}} => 11
{{1},{2,4},{3,5,6,7}} => {{1,2,3,5},{4,6},{7}} => 16
{{1},{2,4},{3,5,6},{7}} => {{1},{2,3,5},{4,6},{7}} => 8
{{1,7},{2,4},{3,5},{6}} => {{1,7},{2},{3,5},{4,6}} => 3
{{1},{2,4,7},{3,5},{6}} => {{1,4,6},{2},{3,5},{7}} => 6
{{1},{2,4},{3,5,7},{6}} => {{1,3,5},{2},{4,6},{7}} => 8
{{1},{2,4},{3,5},{6,7}} => {{1,2},{3,5},{4,6},{7}} => 8
{{1},{2,4},{3,5},{6},{7}} => {{1},{2},{3,5},{4,6},{7}} => 3
{{1,6,7},{2,4},{3},{5}} => {{1,2,7},{3},{4,6},{5}} => 5
{{1,6},{2,4,7},{3},{5}} => {{1,4,6},{2,7},{3},{5}} => 4
{{1,6},{2,4},{3,7},{5}} => {{1,5},{2,7},{3},{4,6}} => 3
{{1,6},{2,4},{3},{5,7}} => {{1,3},{2,7},{4,6},{5}} => 5
{{1,6},{2,4},{3},{5},{7}} => {{1},{2,7},{3},{4,6},{5}} => 1
{{1,7},{2,4,6},{3},{5}} => {{1,7},{2,4,6},{3},{5}} => 4
{{1},{2,4,6,7},{3},{5}} => {{1,2,4,6},{3},{5},{7}} => 10
{{1},{2,4,6},{3,7},{5}} => {{1,5},{2,4,6},{3},{7}} => 6
{{1},{2,4,6},{3},{5,7}} => {{1,3},{2,4,6},{5},{7}} => 8
{{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => 4
{{1,7},{2,4},{3,6},{5}} => {{1,7},{2,5},{3},{4,6}} => 3
{{1},{2,4,7},{3,6},{5}} => {{1,4,6},{2,5},{3},{7}} => 6
{{1},{2,4},{3,6,7},{5}} => {{1,2,5},{3},{4,6},{7}} => 9
{{1},{2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6},{7}} => 7
{{1},{2,4},{3,6},{5},{7}} => {{1},{2,5},{3},{4,6},{7}} => 3
{{1,7},{2,4},{3},{5,6}} => {{1,7},{2,3},{4,6},{5}} => 5
{{1},{2,4,7},{3},{5,6}} => {{1,4,6},{2,3},{5},{7}} => 8
{{1},{2,4},{3,7},{5,6}} => {{1,5},{2,3},{4,6},{7}} => 7
{{1},{2,4},{3},{5,6,7}} => {{1,2,3},{4,6},{5},{7}} => 13
{{1},{2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6},{5},{7}} => 5
{{1,7},{2,4},{3},{5},{6}} => {{1,7},{2},{3},{4,6},{5}} => 1
{{1},{2,4,7},{3},{5},{6}} => {{1,4,6},{2},{3},{5},{7}} => 4
{{1},{2,4},{3,7},{5},{6}} => {{1,5},{2},{3},{4,6},{7}} => 3
{{1},{2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6},{5},{7}} => 5
{{1},{2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6},{5},{7}} => 6
{{1},{2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6},{5},{7}} => 1
{{1,5,6,7},{2},{3,4}} => {{1,2,3,7},{4,5},{6}} => 11
{{1,5,6},{2,7},{3,4}} => {{1,6},{2,3,7},{4,5}} => 6
{{1,5,6},{2},{3,4,7}} => {{1,4,5},{2,3,7},{6}} => 9
{{1,5,6},{2},{3,4},{7}} => {{1},{2,3,7},{4,5},{6}} => 5
{{1,5,7},{2,6},{3,4}} => {{1,3,7},{2,6},{4,5}} => 6
{{1,5},{2,6,7},{3,4}} => {{1,2,6},{3,7},{4,5}} => 8
{{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,6},{3,7}} => 7
{{1,5},{2,6},{3,4},{7}} => {{1},{2,6},{3,7},{4,5}} => 3
{{1,5,7},{2},{3,4,6}} => {{1,3,7},{2,4,5},{6}} => 9
{{1,5},{2,7},{3,4,6}} => {{1,6},{2,4,5},{3,7}} => 7
{{1,5},{2},{3,4,6,7}} => {{1,2,4,5},{3,7},{6}} => 13
{{1,5},{2},{3,4,6},{7}} => {{1},{2,4,5},{3,7},{6}} => 6
{{1,5,7},{2},{3,4},{6}} => {{1,3,7},{2},{4,5},{6}} => 5
{{1,5},{2,7},{3,4},{6}} => {{1,6},{2},{3,7},{4,5}} => 3
{{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => 6
{{1,5},{2},{3,4},{6,7}} => {{1,2},{3,7},{4,5},{6}} => 7
{{1,5},{2},{3,4},{6},{7}} => {{1},{2},{3,7},{4,5},{6}} => 2
{{1,6,7},{2,5},{3,4}} => {{1,2,7},{3,6},{4,5}} => 7
{{1,6},{2,5,7},{3,4}} => {{1,3,6},{2,7},{4,5}} => 7
{{1,6},{2,5},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => 7
{{1,6},{2,5},{3,4},{7}} => {{1},{2,7},{3,6},{4,5}} => 3
{{1,7},{2,5,6},{3,4}} => {{1,7},{2,3,6},{4,5}} => 7
{{1},{2,5,6,7},{3,4}} => {{1,2,3,6},{4,5},{7}} => 14
{{1},{2,5,6},{3,4,7}} => {{1,4,5},{2,3,6},{7}} => 11
{{1},{2,5,6},{3,4},{7}} => {{1},{2,3,6},{4,5},{7}} => 7
{{1,7},{2,5},{3,4,6}} => {{1,7},{2,4,5},{3,6}} => 7
{{1},{2,5,7},{3,4,6}} => {{1,3,6},{2,4,5},{7}} => 11
{{1},{2,5},{3,4,6,7}} => {{1,2,4,5},{3,6},{7}} => 14
{{1},{2,5},{3,4,6},{7}} => {{1},{2,4,5},{3,6},{7}} => 7
{{1,7},{2,5},{3,4},{6}} => {{1,7},{2},{3,6},{4,5}} => 3
{{1},{2,5,7},{3,4},{6}} => {{1,3,6},{2},{4,5},{7}} => 7
{{1},{2,5},{3,4,7},{6}} => {{1,4,5},{2},{3,6},{7}} => 7
{{1},{2,5},{3,4},{6,7}} => {{1,2},{3,6},{4,5},{7}} => 8
{{1},{2,5},{3,4},{6},{7}} => {{1},{2},{3,6},{4,5},{7}} => 3
{{1,6,7},{2},{3,4,5}} => {{1,2,7},{3,4,5},{6}} => 10
{{1,6},{2,7},{3,4,5}} => {{1,6},{2,7},{3,4,5}} => 7
{{1,6},{2},{3,4,5,7}} => {{1,3,4,5},{2,7},{6}} => 12
{{1,6},{2},{3,4,5},{7}} => {{1},{2,7},{3,4,5},{6}} => 6
{{1,7},{2,6},{3,4,5}} => {{1,7},{2,6},{3,4,5}} => 7
{{1},{2,6,7},{3,4,5}} => {{1,2,6},{3,4,5},{7}} => 12
{{1},{2,6},{3,4,5,7}} => {{1,3,4,5},{2,6},{7}} => 13
{{1},{2,6},{3,4,5},{7}} => {{1},{2,6},{3,4,5},{7}} => 7
{{1,7},{2},{3,4,5,6}} => {{1,7},{2,3,4,5},{6}} => 12
{{1},{2,7},{3,4,5,6}} => {{1,6},{2,3,4,5},{7}} => 13
{{1},{2},{3,4,5,6,7}} => {{1,2,3,4,5},{6},{7}} => 20
{{1},{2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6},{7}} => 12
{{1,7},{2},{3,4,5},{6}} => {{1,7},{2},{3,4,5},{6}} => 6
{{1},{2,7},{3,4,5},{6}} => {{1,6},{2},{3,4,5},{7}} => 7
{{1},{2},{3,4,5,7},{6}} => {{1,3,4,5},{2},{6},{7}} => 12
{{1},{2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6},{7}} => 11
{{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => 6
{{1,6,7},{2},{3,4},{5}} => {{1,2,7},{3},{4,5},{6}} => 6
{{1,6},{2,7},{3,4},{5}} => {{1,6},{2,7},{3},{4,5}} => 3
{{1,6},{2},{3,4,7},{5}} => {{1,4,5},{2,7},{3},{6}} => 6
{{1,6},{2},{3,4},{5,7}} => {{1,3},{2,7},{4,5},{6}} => 6
{{1,6},{2},{3,4},{5},{7}} => {{1},{2,7},{3},{4,5},{6}} => 2
{{1,7},{2,6},{3,4},{5}} => {{1,7},{2,6},{3},{4,5}} => 3
{{1},{2,6,7},{3,4},{5}} => {{1,2,6},{3},{4,5},{7}} => 8
{{1},{2,6},{3,4,7},{5}} => {{1,4,5},{2,6},{3},{7}} => 7
{{1},{2,6},{3,4},{5,7}} => {{1,3},{2,6},{4,5},{7}} => 7
{{1},{2,6},{3,4},{5},{7}} => {{1},{2,6},{3},{4,5},{7}} => 3
{{1,7},{2},{3,4,6},{5}} => {{1,7},{2,4,5},{3},{6}} => 6
{{1},{2,7},{3,4,6},{5}} => {{1,6},{2,4,5},{3},{7}} => 7
{{1},{2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6},{7}} => 13
{{1},{2},{3,4,6},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 10
{{1},{2},{3,4,6},{5},{7}} => {{1},{2,4,5},{3},{6},{7}} => 6
{{1,7},{2},{3,4},{5,6}} => {{1,7},{2,3},{4,5},{6}} => 6
{{1},{2,7},{3,4},{5,6}} => {{1,6},{2,3},{4,5},{7}} => 7
{{1},{2},{3,4,7},{5,6}} => {{1,4,5},{2,3},{6},{7}} => 10
{{1},{2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6},{7}} => 14
{{1},{2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6},{7}} => 6
{{1,7},{2},{3,4},{5},{6}} => {{1,7},{2},{3},{4,5},{6}} => 2
{{1},{2,7},{3,4},{5},{6}} => {{1,6},{2},{3},{4,5},{7}} => 3
{{1},{2},{3,4,7},{5},{6}} => {{1,4,5},{2},{3},{6},{7}} => 6
{{1},{2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6},{7}} => 6
{{1},{2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6},{7}} => 7
{{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => 2
{{1,5,6,7},{2},{3},{4}} => {{1,2,3,7},{4},{5},{6}} => 9
{{1,5,6},{2,7},{3},{4}} => {{1,6},{2,3,7},{4},{5}} => 4
{{1,5,6},{2},{3,7},{4}} => {{1,5},{2,3,7},{4},{6}} => 5
{{1,5,6},{2},{3},{4,7}} => {{1,4},{2,3,7},{5},{6}} => 6
{{1,5,6},{2},{3},{4},{7}} => {{1},{2,3,7},{4},{5},{6}} => 3
{{1,5,7},{2,6},{3},{4}} => {{1,3,7},{2,6},{4},{5}} => 4
{{1,5},{2,6,7},{3},{4}} => {{1,2,6},{3,7},{4},{5}} => 6
{{1,5},{2,6},{3,7},{4}} => {{1,5},{2,6},{3,7},{4}} => 3
{{1,5},{2,6},{3},{4,7}} => {{1,4},{2,6},{3,7},{5}} => 4
{{1,5},{2,6},{3},{4},{7}} => {{1},{2,6},{3,7},{4},{5}} => 1
{{1,5,7},{2},{3,6},{4}} => {{1,3,7},{2,5},{4},{6}} => 5
{{1,5},{2,7},{3,6},{4}} => {{1,6},{2,5},{3,7},{4}} => 3
{{1,5},{2},{3,6,7},{4}} => {{1,2,5},{3,7},{4},{6}} => 8
{{1,5},{2},{3,6},{4,7}} => {{1,4},{2,5},{3,7},{6}} => 5
{{1,5},{2},{3,6},{4},{7}} => {{1},{2,5},{3,7},{4},{6}} => 2
{{1,5,7},{2},{3},{4,6}} => {{1,3,7},{2,4},{5},{6}} => 6
{{1,5},{2,7},{3},{4,6}} => {{1,6},{2,4},{3,7},{5}} => 4
{{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}} => 5
{{1,5},{2},{3},{4,6,7}} => {{1,2,4},{3,7},{5},{6}} => 10
{{1,5},{2},{3},{4,6},{7}} => {{1},{2,4},{3,7},{5},{6}} => 3
{{1,5,7},{2},{3},{4},{6}} => {{1,3,7},{2},{4},{5},{6}} => 3
{{1,5},{2,7},{3},{4},{6}} => {{1,6},{2},{3,7},{4},{5}} => 1
{{1,5},{2},{3,7},{4},{6}} => {{1,5},{2},{3,7},{4},{6}} => 2
{{1,5},{2},{3},{4,7},{6}} => {{1,4},{2},{3,7},{5},{6}} => 3
{{1,5},{2},{3},{4},{6,7}} => {{1,2},{3,7},{4},{5},{6}} => 5
{{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3,7},{4},{5},{6}} => 0
{{1,6,7},{2,5},{3},{4}} => {{1,2,7},{3,6},{4},{5}} => 5
{{1,6},{2,5,7},{3},{4}} => {{1,3,6},{2,7},{4},{5}} => 5
{{1,6},{2,5},{3,7},{4}} => {{1,5},{2,7},{3,6},{4}} => 3
{{1,6},{2,5},{3},{4,7}} => {{1,4},{2,7},{3,6},{5}} => 4
{{1,6},{2,5},{3},{4},{7}} => {{1},{2,7},{3,6},{4},{5}} => 1
{{1,7},{2,5,6},{3},{4}} => {{1,7},{2,3,6},{4},{5}} => 5
{{1},{2,5,6,7},{3},{4}} => {{1,2,3,6},{4},{5},{7}} => 12
{{1},{2,5,6},{3,7},{4}} => {{1,5},{2,3,6},{4},{7}} => 7
{{1},{2,5,6},{3},{4,7}} => {{1,4},{2,3,6},{5},{7}} => 8
{{1},{2,5,6},{3},{4},{7}} => {{1},{2,3,6},{4},{5},{7}} => 5
{{1,7},{2,5},{3,6},{4}} => {{1,7},{2,5},{3,6},{4}} => 3
{{1},{2,5,7},{3,6},{4}} => {{1,3,6},{2,5},{4},{7}} => 7
{{1},{2,5},{3,6,7},{4}} => {{1,2,5},{3,6},{4},{7}} => 9
{{1},{2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6},{7}} => 6
{{1},{2,5},{3,6},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} => 3
{{1,7},{2,5},{3},{4,6}} => {{1,7},{2,4},{3,6},{5}} => 4
{{1},{2,5,7},{3},{4,6}} => {{1,3,6},{2,4},{5},{7}} => 8
{{1},{2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6},{7}} => 6
{{1},{2,5},{3},{4,6,7}} => {{1,2,4},{3,6},{5},{7}} => 11
{{1},{2,5},{3},{4,6},{7}} => {{1},{2,4},{3,6},{5},{7}} => 4
{{1,7},{2,5},{3},{4},{6}} => {{1,7},{2},{3,6},{4},{5}} => 1
{{1},{2,5,7},{3},{4},{6}} => {{1,3,6},{2},{4},{5},{7}} => 5
{{1},{2,5},{3,7},{4},{6}} => {{1,5},{2},{3,6},{4},{7}} => 3
{{1},{2,5},{3},{4,7},{6}} => {{1,4},{2},{3,6},{5},{7}} => 4
{{1},{2,5},{3},{4},{6,7}} => {{1,2},{3,6},{4},{5},{7}} => 6
{{1},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,6},{4},{5},{7}} => 1
{{1,6,7},{2},{3,5},{4}} => {{1,2,7},{3,5},{4},{6}} => 6
{{1,6},{2,7},{3,5},{4}} => {{1,6},{2,7},{3,5},{4}} => 3
{{1,6},{2},{3,5,7},{4}} => {{1,3,5},{2,7},{4},{6}} => 7
{{1,6},{2},{3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}} => 5
{{1,6},{2},{3,5},{4},{7}} => {{1},{2,7},{3,5},{4},{6}} => 2
{{1,7},{2,6},{3,5},{4}} => {{1,7},{2,6},{3,5},{4}} => 3
{{1},{2,6,7},{3,5},{4}} => {{1,2,6},{3,5},{4},{7}} => 8
{{1},{2,6},{3,5,7},{4}} => {{1,3,5},{2,6},{4},{7}} => 8
{{1},{2,6},{3,5},{4,7}} => {{1,4},{2,6},{3,5},{7}} => 6
{{1},{2,6},{3,5},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => 3
{{1,7},{2},{3,5,6},{4}} => {{1,7},{2,3,5},{4},{6}} => 7
{{1},{2,7},{3,5,6},{4}} => {{1,6},{2,3,5},{4},{7}} => 8
{{1},{2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6},{7}} => 15
{{1},{2},{3,5,6},{4,7}} => {{1,4},{2,3,5},{6},{7}} => 10
{{1},{2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6},{7}} => 7
{{1,7},{2},{3,5},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 5
{{1},{2,7},{3,5},{4,6}} => {{1,6},{2,4},{3,5},{7}} => 6
{{1},{2},{3,5,7},{4,6}} => {{1,3,5},{2,4},{6},{7}} => 10
{{1},{2},{3,5},{4,6,7}} => {{1,2,4},{3,5},{6},{7}} => 12
{{1},{2},{3,5},{4,6},{7}} => {{1},{2,4},{3,5},{6},{7}} => 5
{{1,7},{2},{3,5},{4},{6}} => {{1,7},{2},{3,5},{4},{6}} => 2
{{1},{2,7},{3,5},{4},{6}} => {{1,6},{2},{3,5},{4},{7}} => 3
{{1},{2},{3,5,7},{4},{6}} => {{1,3,5},{2},{4},{6},{7}} => 7
{{1},{2},{3,5},{4,7},{6}} => {{1,4},{2},{3,5},{6},{7}} => 5
{{1},{2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6},{7}} => 7
{{1},{2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => 2
{{1,6,7},{2},{3},{4,5}} => {{1,2,7},{3,4},{5},{6}} => 7
{{1,6},{2,7},{3},{4,5}} => {{1,6},{2,7},{3,4},{5}} => 4
{{1,6},{2},{3,7},{4,5}} => {{1,5},{2,7},{3,4},{6}} => 5
{{1,6},{2},{3},{4,5,7}} => {{1,3,4},{2,7},{5},{6}} => 9
{{1,6},{2},{3},{4,5},{7}} => {{1},{2,7},{3,4},{5},{6}} => 3
{{1,7},{2,6},{3},{4,5}} => {{1,7},{2,6},{3,4},{5}} => 4
{{1},{2,6,7},{3},{4,5}} => {{1,2,6},{3,4},{5},{7}} => 9
{{1},{2,6},{3,7},{4,5}} => {{1,5},{2,6},{3,4},{7}} => 6
{{1},{2,6},{3},{4,5,7}} => {{1,3,4},{2,6},{5},{7}} => 10
{{1},{2,6},{3},{4,5},{7}} => {{1},{2,6},{3,4},{5},{7}} => 4
{{1,7},{2},{3,6},{4,5}} => {{1,7},{2,5},{3,4},{6}} => 5
{{1},{2,7},{3,6},{4,5}} => {{1,6},{2,5},{3,4},{7}} => 6
{{1},{2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6},{7}} => 11
{{1},{2},{3,6},{4,5,7}} => {{1,3,4},{2,5},{6},{7}} => 11
{{1},{2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6},{7}} => 5
{{1,7},{2},{3},{4,5,6}} => {{1,7},{2,3,4},{5},{6}} => 9
{{1},{2,7},{3},{4,5,6}} => {{1,6},{2,3,4},{5},{7}} => 10
{{1},{2},{3,7},{4,5,6}} => {{1,5},{2,3,4},{6},{7}} => 11
{{1},{2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6},{7}} => 18
{{1},{2},{3},{4,5,6},{7}} => {{1},{2,3,4},{5},{6},{7}} => 9
{{1,7},{2},{3},{4,5},{6}} => {{1,7},{2},{3,4},{5},{6}} => 3
{{1},{2,7},{3},{4,5},{6}} => {{1,6},{2},{3,4},{5},{7}} => 4
{{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3,4},{6},{7}} => 5
{{1},{2},{3},{4,5,7},{6}} => {{1,3,4},{2},{5},{6},{7}} => 9
{{1},{2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6},{7}} => 8
{{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => 3
{{1,6,7},{2},{3},{4},{5}} => {{1,2,7},{3},{4},{5},{6}} => 4
{{1,6},{2,7},{3},{4},{5}} => {{1,6},{2,7},{3},{4},{5}} => 1
{{1,6},{2},{3,7},{4},{5}} => {{1,5},{2,7},{3},{4},{6}} => 2
{{1,6},{2},{3},{4,7},{5}} => {{1,4},{2,7},{3},{5},{6}} => 3
{{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,7},{4},{5},{6}} => 4
{{1,6},{2},{3},{4},{5},{7}} => {{1},{2,7},{3},{4},{5},{6}} => 0
{{1,7},{2,6},{3},{4},{5}} => {{1,7},{2,6},{3},{4},{5}} => 1
{{1},{2,6,7},{3},{4},{5}} => {{1,2,6},{3},{4},{5},{7}} => 6
{{1},{2,6},{3,7},{4},{5}} => {{1,5},{2,6},{3},{4},{7}} => 3
{{1},{2,6},{3},{4,7},{5}} => {{1,4},{2,6},{3},{5},{7}} => 4
{{1},{2,6},{3},{4},{5,7}} => {{1,3},{2,6},{4},{5},{7}} => 5
{{1},{2,6},{3},{4},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} => 1
{{1,7},{2},{3,6},{4},{5}} => {{1,7},{2,5},{3},{4},{6}} => 2
{{1},{2,7},{3,6},{4},{5}} => {{1,6},{2,5},{3},{4},{7}} => 3
{{1},{2},{3,6,7},{4},{5}} => {{1,2,5},{3},{4},{6},{7}} => 8
{{1},{2},{3,6},{4,7},{5}} => {{1,4},{2,5},{3},{6},{7}} => 5
{{1},{2},{3,6},{4},{5,7}} => {{1,3},{2,5},{4},{6},{7}} => 6
{{1},{2},{3,6},{4},{5},{7}} => {{1},{2,5},{3},{4},{6},{7}} => 2
{{1,7},{2},{3},{4,6},{5}} => {{1,7},{2,4},{3},{5},{6}} => 3
{{1},{2,7},{3},{4,6},{5}} => {{1,6},{2,4},{3},{5},{7}} => 4
{{1},{2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6},{7}} => 5
{{1},{2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6},{7}} => 10
{{1},{2},{3},{4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 7
{{1},{2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6},{7}} => 3
{{1,7},{2},{3},{4},{5,6}} => {{1,7},{2,3},{4},{5},{6}} => 4
{{1},{2,7},{3},{4},{5,6}} => {{1,6},{2,3},{4},{5},{7}} => 5
{{1},{2},{3,7},{4},{5,6}} => {{1,5},{2,3},{4},{6},{7}} => 6
{{1},{2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6},{7}} => 7
{{1},{2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6},{7}} => 12
{{1},{2},{3},{4},{5,6},{7}} => {{1},{2,3},{4},{5},{6},{7}} => 4
{{1,7},{2},{3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5},{6}} => 0
{{1},{2,7},{3},{4},{5},{6}} => {{1,6},{2},{3},{4},{5},{7}} => 1
{{1},{2},{3,7},{4},{5},{6}} => {{1,5},{2},{3},{4},{6},{7}} => 2
{{1},{2},{3},{4,7},{5},{6}} => {{1,4},{2},{3},{5},{6},{7}} => 3
{{1},{2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6},{7}} => 4
{{1},{2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6},{7}} => 5
{{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}} => 15
{{1},{2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7},{8}} => 21
{{1,2},{3,4,5,6,7,8}} => {{1,2,3,4,5,6},{7,8}} => 30
{{1,3,4,5,6,7},{2},{8}} => {{1},{2,3,4,5,6,8},{7}} => 10
{{1,3,4,5,6,7,8},{2}} => {{1,2,3,4,5,6,8},{7}} => 15
{{1,4,5,6,7,8},{2,3}} => {{1,2,3,4,5,8},{6,7}} => 21
{{1,2,4,5,6,7},{3},{8}} => {{1},{2,3,4,5,7,8},{6}} => 6
{{1,2,4,5,6,7,8},{3}} => {{1,2,3,4,5,7,8},{6}} => 10
{{1,2,5,6,7,8},{3,4}} => {{1,2,3,4,7,8},{5,6}} => 14
{{1,2,3,5,6,7},{4},{8}} => {{1},{2,3,4,6,7,8},{5}} => 3
{{1,2,3,5,6,7,8},{4}} => {{1,2,3,4,6,7,8},{5}} => 6
{{1,2,3,6,7,8},{4,5}} => {{1,2,3,6,7,8},{4,5}} => 9
{{1,2,3,4,6,7},{5},{8}} => {{1},{2,3,5,6,7,8},{4}} => 1
{{1,2,3,4,6,8},{5},{7}} => {{1,3,5,6,7,8},{2},{4}} => 1
{{1,2,3,4,6,7,8},{5}} => {{1,2,3,5,6,7,8},{4}} => 3
{{1,2,3,4,5,6},{7},{8}} => {{1},{2},{3,4,5,6,7,8}} => 0
{{1,2,3,4,5,6},{7,8}} => {{1,2},{3,4,5,6,7,8}} => 6
{{1,2,3,4,7,8},{5,6}} => {{1,2,5,6,7,8},{3,4}} => 6
{{1,2,3,4,5,7},{6},{8}} => {{1},{2,4,5,6,7,8},{3}} => 0
{{1,2,3,4,5,8},{6},{7}} => {{1,4,5,6,7,8},{2},{3}} => 0
{{1,2,3,4,5,7,8},{6}} => {{1,2,4,5,6,7,8},{3}} => 1
{{1,2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7,8}} => 0
{{1,8},{2,3,4,5,6,7}} => {{1,8},{2,3,4,5,6,7}} => 15
{{1,2,3,4,5,8},{6,7}} => {{1,4,5,6,7,8},{2,3}} => 5
{{1,2,3,4,5,6,8},{7}} => {{1,3,4,5,6,7,8},{2}} => 0
{{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}} => 0
{{1,3,5,6,7,8},{2,4}} => {{1,2,3,4,6,8},{5,7}} => 17
{{1,3,4,6,7,8},{2,5}} => {{1,2,3,5,6,8},{4,7}} => 14
{{1,2,4,6,7,8},{3,5}} => {{1,2,3,5,7,8},{4,6}} => 11
{{1,3,4,5,7,8},{2,6}} => {{1,2,4,5,6,8},{3,7}} => 12
{{1,2,4,5,7,8},{3,6}} => {{1,2,4,5,7,8},{3,6}} => 9
{{1,2,3,5,7,8},{4,6}} => {{1,2,4,6,7,8},{3,5}} => 7
{{1,3,4,5,6,8},{2,7}} => {{1,3,4,5,6,8},{2,7}} => 11
{{1,2,4,5,6,8},{3,7}} => {{1,3,4,5,7,8},{2,6}} => 8
{{1,2,3,5,6,8},{4,7}} => {{1,3,4,6,7,8},{2,5}} => 6
{{1,2,3,4,6,8},{5,7}} => {{1,3,5,6,7,8},{2,4}} => 5
{{1,3,4,5,6,7},{2,8}} => {{1,7},{2,3,4,5,6,8}} => 11
{{1,2,4,5,6,7},{3,8}} => {{1,6},{2,3,4,5,7,8}} => 8
{{1,2,3,5,6,7},{4,8}} => {{1,5},{2,3,4,6,7,8}} => 6
{{1,2,3,4,6,7},{5,8}} => {{1,4},{2,3,5,6,7,8}} => 5
{{1,2,3,4,5,7},{6,8}} => {{1,3},{2,4,5,6,7,8}} => 5
{{1,3},{2,4,5,6,7,8}} => {{1,2,3,4,5,7},{6,8}} => 25
{{1,4},{2,3,5,6,7,8}} => {{1,2,3,4,6,7},{5,8}} => 21
{{1,5},{2,3,4,6,7,8}} => {{1,2,3,5,6,7},{4,8}} => 18
{{1,6},{2,3,4,5,7,8}} => {{1,2,4,5,6,7},{3,8}} => 16
{{1,7},{2,3,4,5,6,8}} => {{1,3,4,5,6,7},{2,8}} => 15
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
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,1 7,5,2,1 11,12,11,12,3,0,3 16,22,27,45,31,18,22,11,1,6,2,0,2 22,35,50,106,95,110,121,96,61,46,47,25,27,16,4,6,3,0,4,1,2
$F_{2} = 2$
$F_{3} = 4 + q$
$F_{4} = 7 + 5\ q + 2\ q^{2} + q^{3}$
$F_{5} = 11 + 12\ q + 11\ q^{2} + 12\ q^{3} + 3\ q^{4} + 3\ q^{6}$
$F_{6} = 16 + 22\ q + 27\ q^{2} + 45\ q^{3} + 31\ q^{4} + 18\ q^{5} + 22\ q^{6} + 11\ q^{7} + q^{8} + 6\ q^{9} + 2\ q^{10} + 2\ q^{12}$
$F_{7} = 22 + 35\ q + 50\ q^{2} + 106\ q^{3} + 95\ q^{4} + 110\ q^{5} + 121\ q^{6} + 96\ q^{7} + 61\ q^{8} + 46\ q^{9} + 47\ q^{10} + 25\ q^{11} + 27\ q^{12} + 16\ q^{13} + 4\ q^{14} + 6\ q^{15} + 3\ q^{16} + 4\ q^{18} + q^{19} + 2\ q^{20}$
Description
The number of occurrences of the pattern {{1,2},{3}} in a set partition.
Map
complement
Description
The complement of a set partition obtained by replacing $i$ with $n+1-i$.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!