Identifier
-
Mp00215:
Set partitions
—Wachs-White⟶
Set partitions
Mp00219: Set partitions —inverse Yip⟶ Set partitions
Mp00112: Set partitions —complement⟶ Set partitions
St001843: Set partitions ⟶ ℤ
Values
{{1}} => {{1}} => {{1}} => {{1}} => 0
{{1,2}} => {{1,2}} => {{1,2}} => {{1,2}} => 0
{{1},{2}} => {{1},{2}} => {{1},{2}} => {{1},{2}} => 0
{{1,2,3}} => {{1,2,3}} => {{1,2,3}} => {{1,2,3}} => 0
{{1,2},{3}} => {{1},{2,3}} => {{1,3},{2}} => {{1,3},{2}} => 1
{{1,3},{2}} => {{1,3},{2}} => {{1},{2,3}} => {{1,2},{3}} => 0
{{1},{2,3}} => {{1,2},{3}} => {{1,2},{3}} => {{1},{2,3}} => 0
{{1},{2},{3}} => {{1},{2},{3}} => {{1},{2},{3}} => {{1},{2},{3}} => 0
{{1,2,3,4}} => {{1,2,3,4}} => {{1,2,3,4}} => {{1,2,3,4}} => 0
{{1,2,3},{4}} => {{1},{2,3,4}} => {{1,3,4},{2}} => {{1,2,4},{3}} => 2
{{1,2,4},{3}} => {{1,3},{2,4}} => {{1,4},{2,3}} => {{1,4},{2,3}} => 1
{{1,2},{3,4}} => {{1,2},{3,4}} => {{1,2,4},{3}} => {{1,3,4},{2}} => 1
{{1,2},{3},{4}} => {{1},{2},{3,4}} => {{1,4},{2},{3}} => {{1,4},{2},{3}} => 2
{{1,3,4},{2}} => {{1,2,4},{3}} => {{1,2},{3,4}} => {{1,2},{3,4}} => 0
{{1,3},{2,4}} => {{1,3,4},{2}} => {{1},{2,3,4}} => {{1,2,3},{4}} => 0
{{1,3},{2},{4}} => {{1},{2,4},{3}} => {{1},{2,4},{3}} => {{1,3},{2},{4}} => 1
{{1,4},{2,3}} => {{1,4},{2,3}} => {{1,3},{2,4}} => {{1,3},{2,4}} => 2
{{1},{2,3,4}} => {{1,2,3},{4}} => {{1,2,3},{4}} => {{1},{2,3,4}} => 0
{{1},{2,3},{4}} => {{1},{2,3},{4}} => {{1,3},{2},{4}} => {{1},{2,4},{3}} => 1
{{1,4},{2},{3}} => {{1,4},{2},{3}} => {{1},{2},{3,4}} => {{1,2},{3},{4}} => 0
{{1},{2,4},{3}} => {{1,3},{2},{4}} => {{1},{2,3},{4}} => {{1},{2,3},{4}} => 0
{{1},{2},{3,4}} => {{1,2},{3},{4}} => {{1,2},{3},{4}} => {{1},{2},{3,4}} => 0
{{1},{2},{3},{4}} => {{1},{2},{3},{4}} => {{1},{2},{3},{4}} => {{1},{2},{3},{4}} => 0
{{1,2,3,4,5}} => {{1,2,3,4,5}} => {{1,2,3,4,5}} => {{1,2,3,4,5}} => 0
{{1,2,3,4},{5}} => {{1},{2,3,4,5}} => {{1,3,4,5},{2}} => {{1,2,3,5},{4}} => 3
{{1,2,3,5},{4}} => {{1,3},{2,4,5}} => {{1,4},{2,3,5}} => {{1,3,4},{2,5}} => 2
{{1,2,3},{4,5}} => {{1,2},{3,4,5}} => {{1,2,4},{3,5}} => {{1,3},{2,4,5}} => 2
{{1,2,3},{4},{5}} => {{1},{2},{3,4,5}} => {{1,4,5},{2},{3}} => {{1,2,5},{3},{4}} => 4
{{1,2,4,5},{3}} => {{1,2,4},{3,5}} => {{1,2,5},{3,4}} => {{1,4,5},{2,3}} => 1
{{1,2,4},{3,5}} => {{1,3,4},{2,5}} => {{1,5},{2,3,4}} => {{1,5},{2,3,4}} => 1
{{1,2,4},{3},{5}} => {{1},{2,4},{3,5}} => {{1,5},{2,4},{3}} => {{1,5},{2,4},{3}} => 3
{{1,2,5},{3,4}} => {{1,4},{2,3,5}} => {{1,3,5},{2,4}} => {{1,3,5},{2,4}} => 4
{{1,2},{3,4,5}} => {{1,2,3},{4,5}} => {{1,2,3,5},{4}} => {{1,3,4,5},{2}} => 1
{{1,2},{3,4},{5}} => {{1},{2,3},{4,5}} => {{1,3},{2,5},{4}} => {{1,4},{2},{3,5}} => 3
{{1,2,5},{3},{4}} => {{1,4},{2},{3,5}} => {{1,5},{2},{3,4}} => {{1,5},{2,3},{4}} => 2
{{1,2},{3,5},{4}} => {{1,3},{2},{4,5}} => {{1,5},{2,3},{4}} => {{1,5},{2},{3,4}} => 2
{{1,2},{3},{4,5}} => {{1,2},{3},{4,5}} => {{1,2,5},{3},{4}} => {{1,4,5},{2},{3}} => 2
{{1,2},{3},{4},{5}} => {{1},{2},{3},{4,5}} => {{1,5},{2},{3},{4}} => {{1,5},{2},{3},{4}} => 3
{{1,3,4,5},{2}} => {{1,2,3,5},{4}} => {{1,2,3},{4,5}} => {{1,2},{3,4,5}} => 0
{{1,3,4},{2,5}} => {{1,4,5},{2,3}} => {{1,3},{2,4,5}} => {{1,2,4},{3,5}} => 3
{{1,3,4},{2},{5}} => {{1},{2,3,5},{4}} => {{1,3},{2},{4,5}} => {{1,2},{3,5},{4}} => 1
{{1,3,5},{2,4}} => {{1,3,4,5},{2}} => {{1},{2,3,4,5}} => {{1,2,3,4},{5}} => 0
{{1,3},{2,4,5}} => {{1,2,4,5},{3}} => {{1,2},{3,4,5}} => {{1,2,3},{4,5}} => 0
{{1,3},{2,4},{5}} => {{1},{2,4,5},{3}} => {{1},{2,4,5},{3}} => {{1,2,4},{3},{5}} => 2
{{1,3,5},{2},{4}} => {{1,3},{2,5},{4}} => {{1},{2,3,5},{4}} => {{1,3,4},{2},{5}} => 1
{{1,3},{2,5},{4}} => {{1,4},{2,5},{3}} => {{1},{2,5},{3,4}} => {{1,4},{2,3},{5}} => 1
{{1,3},{2},{4,5}} => {{1,2},{3,5},{4}} => {{1,2},{3,5},{4}} => {{1,3},{2},{4,5}} => 1
{{1,3},{2},{4},{5}} => {{1},{2},{3,5},{4}} => {{1},{2,5},{3},{4}} => {{1,4},{2},{3},{5}} => 2
{{1,4,5},{2,3}} => {{1,2,5},{3,4}} => {{1,2,4,5},{3}} => {{1,2,4,5},{3}} => 2
{{1,4},{2,3,5}} => {{1,3,5},{2,4}} => {{1,4,5},{2,3}} => {{1,2,5},{3,4}} => 2
{{1,4},{2,3},{5}} => {{1},{2,5},{3,4}} => {{1,4},{2,5},{3}} => {{1,4},{2,5},{3}} => 4
{{1,5},{2,3,4}} => {{1,5},{2,3,4}} => {{1,3,4},{2,5}} => {{1,4},{2,3,5}} => 3
{{1},{2,3,4,5}} => {{1,2,3,4},{5}} => {{1,2,3,4},{5}} => {{1},{2,3,4,5}} => 0
{{1},{2,3,4},{5}} => {{1},{2,3,4},{5}} => {{1,3,4},{2},{5}} => {{1},{2,3,5},{4}} => 2
{{1,5},{2,3},{4}} => {{1,5},{2},{3,4}} => {{1,4},{2},{3,5}} => {{1,3},{2,5},{4}} => 3
{{1},{2,3,5},{4}} => {{1,3},{2,4},{5}} => {{1,4},{2,3},{5}} => {{1},{2,5},{3,4}} => 1
{{1},{2,3},{4,5}} => {{1,2},{3,4},{5}} => {{1,2,4},{3},{5}} => {{1},{2,4,5},{3}} => 1
{{1},{2,3},{4},{5}} => {{1},{2},{3,4},{5}} => {{1,4},{2},{3},{5}} => {{1},{2,5},{3},{4}} => 2
{{1,4,5},{2},{3}} => {{1,2,5},{3},{4}} => {{1,2},{3},{4,5}} => {{1,2},{3},{4,5}} => 0
{{1,4},{2,5},{3}} => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => {{1,2,3},{4},{5}} => 0
{{1,4},{2},{3,5}} => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => {{1,2},{3,4},{5}} => 0
{{1,4},{2},{3},{5}} => {{1},{2,5},{3},{4}} => {{1},{2},{3,5},{4}} => {{1,3},{2},{4},{5}} => 1
{{1,5},{2,4},{3}} => {{1,5},{2,4},{3}} => {{1},{2,4},{3,5}} => {{1,3},{2,4},{5}} => 2
{{1},{2,4,5},{3}} => {{1,2,4},{3},{5}} => {{1,2},{3,4},{5}} => {{1},{2,3},{4,5}} => 0
{{1},{2,4},{3,5}} => {{1,3,4},{2},{5}} => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}} => 0
{{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => 1
{{1,5},{2},{3,4}} => {{1,5},{2,3},{4}} => {{1,3,5},{2},{4}} => {{1,3,5},{2},{4}} => 3
{{1},{2,5},{3,4}} => {{1,4},{2,3},{5}} => {{1,3},{2,4},{5}} => {{1},{2,4},{3,5}} => 2
{{1},{2},{3,4,5}} => {{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} => {{1},{2},{3,4,5}} => 0
{{1},{2},{3,4},{5}} => {{1},{2,3},{4},{5}} => {{1,3},{2},{4},{5}} => {{1},{2},{3,5},{4}} => 1
{{1,5},{2},{3},{4}} => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => {{1,2},{3},{4},{5}} => 0
{{1},{2,5},{3},{4}} => {{1,4},{2},{3},{5}} => {{1},{2},{3,4},{5}} => {{1},{2,3},{4},{5}} => 0
{{1},{2},{3,5},{4}} => {{1,3},{2},{4},{5}} => {{1},{2,3},{4},{5}} => {{1},{2},{3,4},{5}} => 0
{{1},{2},{3},{4,5}} => {{1,2},{3},{4},{5}} => {{1,2},{3},{4},{5}} => {{1},{2},{3},{4,5}} => 0
{{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} => 0
{{1,2,3,4,5,6}} => {{1,2,3,4,5,6}} => {{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}} => {{1,3,4,5,6},{2}} => {{1,2,3,4,6},{5}} => 4
{{1,2,3,4,6},{5}} => {{1,3},{2,4,5,6}} => {{1,4},{2,3,5,6}} => {{1,2,4,5},{3,6}} => 3
{{1,2,3,4},{5,6}} => {{1,2},{3,4,5,6}} => {{1,2,4},{3,5,6}} => {{1,2,4},{3,5,6}} => 3
{{1,2,3,4},{5},{6}} => {{1},{2},{3,4,5,6}} => {{1,4,5,6},{2},{3}} => {{1,2,3,6},{4},{5}} => 6
{{1,2,3,5,6},{4}} => {{1,2,4},{3,5,6}} => {{1,2,5},{3,4,6}} => {{1,3,4},{2,5,6}} => 2
{{1,2,3,5},{4,6}} => {{1,3,4},{2,5,6}} => {{1,5},{2,3,4,6}} => {{1,3,4,5},{2,6}} => 2
{{1,2,3,5},{4},{6}} => {{1},{2,4},{3,5,6}} => {{1,5},{2,4,6},{3}} => {{1,3,5},{2,6},{4}} => 5
{{1,2,3,6},{4,5}} => {{1,4},{2,3,5,6}} => {{1,3,5,6},{2,4}} => {{1,2,4,6},{3,5}} => 6
{{1,2,3},{4,5,6}} => {{1,2,3},{4,5,6}} => {{1,2,3,5},{4,6}} => {{1,3},{2,4,5,6}} => 2
{{1,2,3},{4,5},{6}} => {{1},{2,3},{4,5,6}} => {{1,3},{2,5},{4,6}} => {{1,3},{2,5},{4,6}} => 4
{{1,2,3,6},{4},{5}} => {{1,4},{2},{3,5,6}} => {{1,5},{2},{3,4,6}} => {{1,3,4},{2,6},{5}} => 3
{{1,2,3},{4,6},{5}} => {{1,3},{2},{4,5,6}} => {{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} => 3
{{1,2,3},{4},{5,6}} => {{1,2},{3},{4,5,6}} => {{1,2,5},{3},{4,6}} => {{1,3},{2,5,6},{4}} => 3
{{1,2,3},{4},{5},{6}} => {{1},{2},{3},{4,5,6}} => {{1,5,6},{2},{3},{4}} => {{1,2,6},{3},{4},{5}} => 6
{{1,2,4,5,6},{3}} => {{1,2,3,5},{4,6}} => {{1,2,3,6},{4,5}} => {{1,4,5,6},{2,3}} => 1
{{1,2,4,5},{3,6}} => {{1,4,5},{2,3,6}} => {{1,3,6},{2,4,5}} => {{1,4,6},{2,3,5}} => 5
{{1,2,4,5},{3},{6}} => {{1},{2,3,5},{4,6}} => {{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} => 3
{{1,2,4,6},{3,5}} => {{1,3,4,5},{2,6}} => {{1,6},{2,3,4,5}} => {{1,6},{2,3,4,5}} => 1
{{1,2,4},{3,5,6}} => {{1,2,4,5},{3,6}} => {{1,2,6},{3,4,5}} => {{1,5,6},{2,3,4}} => 1
{{1,2,4},{3,5},{6}} => {{1},{2,4,5},{3,6}} => {{1,6},{2,4,5},{3}} => {{1,6},{2,3,5},{4}} => 4
{{1,2,4,6},{3},{5}} => {{1,3},{2,5},{4,6}} => {{1,6},{2,3,5},{4}} => {{1,6},{2,4,5},{3}} => 3
{{1,2,4},{3,6},{5}} => {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => {{1,6},{2,5},{3,4}} => 3
{{1,2,4},{3},{5,6}} => {{1,2},{3,5},{4,6}} => {{1,2,6},{3,5},{4}} => {{1,5,6},{2,4},{3}} => 3
{{1,2,4},{3},{5},{6}} => {{1},{2},{3,5},{4,6}} => {{1,6},{2,5},{3},{4}} => {{1,6},{2,5},{3},{4}} => 5
{{1,2,5,6},{3,4}} => {{1,2,5},{3,4,6}} => {{1,2,4,5},{3,6}} => {{1,4},{2,3,5,6}} => 3
>>> Load all 1155 entries. <<<{{1,2,5},{3,4,6}} => {{1,3,5},{2,4,6}} => {{1,4,5},{2,3,6}} => {{1,4,5},{2,3,6}} => 3
{{1,2,5},{3,4},{6}} => {{1},{2,5},{3,4,6}} => {{1,4,6},{2,5},{3}} => {{1,3,6},{2,5},{4}} => 7
{{1,2,6},{3,4,5}} => {{1,5},{2,3,4,6}} => {{1,3,4},{2,5,6}} => {{1,2,5},{3,4,6}} => 4
{{1,2},{3,4,5,6}} => {{1,2,3,4},{5,6}} => {{1,2,3,4,6},{5}} => {{1,3,4,5,6},{2}} => 1
{{1,2},{3,4,5},{6}} => {{1},{2,3,4},{5,6}} => {{1,3,4},{2,6},{5}} => {{1,5},{2},{3,4,6}} => 4
{{1,2,6},{3,4},{5}} => {{1,5},{2},{3,4,6}} => {{1,4,6},{2},{3,5}} => {{1,3,6},{2,4},{5}} => 6
{{1,2},{3,4,6},{5}} => {{1,3},{2,4},{5,6}} => {{1,4},{2,3,6},{5}} => {{1,4,5},{2},{3,6}} => 3
{{1,2},{3,4},{5,6}} => {{1,2},{3,4},{5,6}} => {{1,2,4},{3,6},{5}} => {{1,4},{2},{3,5,6}} => 3
{{1,2},{3,4},{5},{6}} => {{1},{2},{3,4},{5,6}} => {{1,4},{2,6},{3},{5}} => {{1,5},{2},{3,6},{4}} => 5
{{1,2,5,6},{3},{4}} => {{1,2,5},{3},{4,6}} => {{1,2,6},{3},{4,5}} => {{1,5,6},{2,3},{4}} => 2
{{1,2,5},{3,6},{4}} => {{1,4,5},{2},{3,6}} => {{1,6},{2},{3,4,5}} => {{1,6},{2,3,4},{5}} => 2
{{1,2,5},{3},{4,6}} => {{1,3,5},{2},{4,6}} => {{1,6},{2,3},{4,5}} => {{1,6},{2,3},{4,5}} => 2
{{1,2,5},{3},{4},{6}} => {{1},{2,5},{3},{4,6}} => {{1,6},{2},{3,5},{4}} => {{1,6},{2,4},{3},{5}} => 4
{{1,2,6},{3,5},{4}} => {{1,5},{2,4},{3,6}} => {{1,6},{2,4},{3,5}} => {{1,6},{2,4},{3,5}} => 4
{{1,2},{3,5,6},{4}} => {{1,2,4},{3},{5,6}} => {{1,2,6},{3,4},{5}} => {{1,5,6},{2},{3,4}} => 2
{{1,2},{3,5},{4,6}} => {{1,3,4},{2},{5,6}} => {{1,6},{2,3,4},{5}} => {{1,6},{2},{3,4,5}} => 2
{{1,2},{3,5},{4},{6}} => {{1},{2,4},{3},{5,6}} => {{1,6},{2,4},{3},{5}} => {{1,6},{2},{3,5},{4}} => 4
{{1,2,6},{3},{4,5}} => {{1,5},{2,3},{4,6}} => {{1,3,5},{2,6},{4}} => {{1,5},{2,4,6},{3}} => 5
{{1,2},{3,6},{4,5}} => {{1,4},{2,3},{5,6}} => {{1,3,6},{2,4},{5}} => {{1,4,6},{2},{3,5}} => 5
{{1,2},{3},{4,5,6}} => {{1,2,3},{4},{5,6}} => {{1,2,3,6},{4},{5}} => {{1,4,5,6},{2},{3}} => 2
{{1,2},{3},{4,5},{6}} => {{1},{2,3},{4},{5,6}} => {{1,3},{2,6},{4},{5}} => {{1,5},{2},{3},{4,6}} => 4
{{1,2,6},{3},{4},{5}} => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => {{1,6},{2,3},{4},{5}} => 3
{{1,2},{3,6},{4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,6},{2},{3,4},{5}} => {{1,6},{2},{3,4},{5}} => 3
{{1,2},{3},{4,6},{5}} => {{1,3},{2},{4},{5,6}} => {{1,6},{2,3},{4},{5}} => {{1,6},{2},{3},{4,5}} => 3
{{1,2},{3},{4},{5,6}} => {{1,2},{3},{4},{5,6}} => {{1,2,6},{3},{4},{5}} => {{1,5,6},{2},{3},{4}} => 3
{{1,2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5}} => {{1,6},{2},{3},{4},{5}} => 4
{{1,3,4,5,6},{2}} => {{1,2,3,4,6},{5}} => {{1,2,3,4},{5,6}} => {{1,2},{3,4,5,6}} => 0
{{1,3,4,5},{2,6}} => {{1,5,6},{2,3,4}} => {{1,3,4,6},{2,5}} => {{1,3,4,6},{2,5}} => 5
{{1,3,4,5},{2},{6}} => {{1},{2,3,4,6},{5}} => {{1,3,4},{2},{5,6}} => {{1,2},{3,4,6},{5}} => 2
{{1,3,4,6},{2,5}} => {{1,3,5,6},{2,4}} => {{1,4,5,6},{2,3}} => {{1,2,3,6},{4,5}} => 3
{{1,3,4},{2,5,6}} => {{1,2,5,6},{3,4}} => {{1,2,4,5,6},{3}} => {{1,2,3,5,6},{4}} => 3
{{1,3,4},{2,5},{6}} => {{1},{2,5,6},{3,4}} => {{1,4},{2,5,6},{3}} => {{1,2,5},{3,6},{4}} => 6
{{1,3,4,6},{2},{5}} => {{1,3},{2,4,6},{5}} => {{1,4,6},{2,3},{5}} => {{1,3,6},{2},{4,5}} => 3
{{1,3,4},{2,6},{5}} => {{1,5},{2,6},{3,4}} => {{1,4},{2,6},{3,5}} => {{1,5},{2,4},{3,6}} => 5
{{1,3,4},{2},{5,6}} => {{1,2},{3,4,6},{5}} => {{1,2,4,6},{3},{5}} => {{1,3,5,6},{2},{4}} => 3
{{1,3,4},{2},{5},{6}} => {{1},{2},{3,4,6},{5}} => {{1,4},{2},{3},{5,6}} => {{1,2},{3,6},{4},{5}} => 2
{{1,3,5,6},{2,4}} => {{1,2,4,5,6},{3}} => {{1,2},{3,4,5,6}} => {{1,2,3,4},{5,6}} => 0
{{1,3,5},{2,4,6}} => {{1,3,4,5,6},{2}} => {{1},{2,3,4,5,6}} => {{1,2,3,4,5},{6}} => 0
{{1,3,5},{2,4},{6}} => {{1},{2,4,5,6},{3}} => {{1},{2,4,5,6},{3}} => {{1,2,3,5},{4},{6}} => 3
{{1,3,6},{2,4,5}} => {{1,4,5,6},{2,3}} => {{1,3},{2,4,5,6}} => {{1,2,3,5},{4,6}} => 4
{{1,3},{2,4,5,6}} => {{1,2,3,5,6},{4}} => {{1,2,3},{4,5,6}} => {{1,2,3},{4,5,6}} => 0
{{1,3},{2,4,5},{6}} => {{1},{2,3,5,6},{4}} => {{1,3},{2},{4,5,6}} => {{1,2,3},{4,6},{5}} => 1
{{1,3,6},{2,4},{5}} => {{1,4},{2,5,6},{3}} => {{1},{2,5},{3,4,6}} => {{1,3,4},{2,5},{6}} => 2
{{1,3},{2,4,6},{5}} => {{1,3},{2,5,6},{4}} => {{1},{2,3,5},{4,6}} => {{1,3},{2,4,5},{6}} => 2
{{1,3},{2,4},{5,6}} => {{1,2},{3,5,6},{4}} => {{1,2},{3,5},{4,6}} => {{1,3},{2,4},{5,6}} => 2
{{1,3},{2,4},{5},{6}} => {{1},{2},{3,5,6},{4}} => {{1},{2,5,6},{3},{4}} => {{1,2,5},{3},{4},{6}} => 4
{{1,3,5,6},{2},{4}} => {{1,2,4},{3,6},{5}} => {{1,2},{3,4,6},{5}} => {{1,3,4},{2},{5,6}} => 1
{{1,3,5},{2,6},{4}} => {{1,5},{2,4,6},{3}} => {{1},{2,4,6},{3,5}} => {{1,3,5},{2,4},{6}} => 4
{{1,3,5},{2},{4,6}} => {{1,3,4},{2,6},{5}} => {{1},{2,3,4,6},{5}} => {{1,3,4,5},{2},{6}} => 1
{{1,3,5},{2},{4},{6}} => {{1},{2,4},{3,6},{5}} => {{1},{2,4},{3,6},{5}} => {{1,4},{2},{3,5},{6}} => 3
{{1,3,6},{2,5},{4}} => {{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}} => {{1,5},{2,3,4},{6}} => 1
{{1,3},{2,5,6},{4}} => {{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}} => {{1,4},{2,3},{5,6}} => 1
{{1,3},{2,5},{4,6}} => {{1,3,5},{2,6},{4}} => {{1},{2,3,6},{4,5}} => {{1,4,5},{2,3},{6}} => 1
{{1,3},{2,5},{4},{6}} => {{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => {{1,5},{2,4},{3},{6}} => 3
{{1,3,6},{2},{4,5}} => {{1,4},{2,3,6},{5}} => {{1,3},{2,4,6},{5}} => {{1,3,5},{2},{4,6}} => 4
{{1,3},{2,6},{4,5}} => {{1,5},{2,3,6},{4}} => {{1,3,5},{2},{4,6}} => {{1,3},{2,4,6},{5}} => 4
{{1,3},{2},{4,5,6}} => {{1,2,3},{4,6},{5}} => {{1,2,3},{4,6},{5}} => {{1,3},{2},{4,5,6}} => 1
{{1,3},{2},{4,5},{6}} => {{1},{2,3},{4,6},{5}} => {{1,3,6},{2},{4},{5}} => {{1,4,6},{2},{3},{5}} => 4
{{1,3,6},{2},{4},{5}} => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => {{1,5},{2},{3,4},{6}} => 2
{{1,3},{2,6},{4},{5}} => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,5},{2,3},{4},{6}} => 2
{{1,3},{2},{4,6},{5}} => {{1,3},{2},{4,6},{5}} => {{1},{2,3,6},{4},{5}} => {{1,4,5},{2},{3},{6}} => 2
{{1,3},{2},{4},{5,6}} => {{1,2},{3},{4,6},{5}} => {{1,2},{3,6},{4},{5}} => {{1,4},{2},{3},{5,6}} => 2
{{1,3},{2},{4},{5},{6}} => {{1},{2},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5}} => {{1,5},{2},{3},{4},{6}} => 3
{{1,4,5,6},{2,3}} => {{1,2,3,6},{4,5}} => {{1,2,3,5,6},{4}} => {{1,2,4,5,6},{3}} => 2
{{1,4,5},{2,3,6}} => {{1,4,6},{2,3,5}} => {{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}} => 6
{{1,4,5},{2,3},{6}} => {{1},{2,3,6},{4,5}} => {{1,3},{2,5,6},{4}} => {{1,2,5},{3},{4,6}} => 5
{{1,4,6},{2,3,5}} => {{1,3,4,6},{2,5}} => {{1,5,6},{2,3,4}} => {{1,2,6},{3,4,5}} => 2
{{1,4},{2,3,5,6}} => {{1,2,4,6},{3,5}} => {{1,2,5,6},{3,4}} => {{1,2,5,6},{3,4}} => 2
{{1,4},{2,3,5},{6}} => {{1},{2,4,6},{3,5}} => {{1,5,6},{2,4},{3}} => {{1,2,6},{3,5},{4}} => 5
{{1,4,6},{2,3},{5}} => {{1,3},{2,6},{4,5}} => {{1,5},{2,3,6},{4}} => {{1,4,5},{2,6},{3}} => 4
{{1,4},{2,3,6},{5}} => {{1,4},{2,6},{3,5}} => {{1,5},{2,6},{3,4}} => {{1,5},{2,6},{3,4}} => 4
{{1,4},{2,3},{5,6}} => {{1,2},{3,6},{4,5}} => {{1,2,5},{3,6},{4}} => {{1,4},{2,5,6},{3}} => 4
{{1,4},{2,3},{5},{6}} => {{1},{2},{3,6},{4,5}} => {{1,5},{2,6},{3},{4}} => {{1,5},{2,6},{3},{4}} => 6
{{1,5,6},{2,3,4}} => {{1,2,6},{3,4,5}} => {{1,2,4,6},{3,5}} => {{1,3,5,6},{2,4}} => 4
{{1,5},{2,3,4,6}} => {{1,3,6},{2,4,5}} => {{1,4,6},{2,3,5}} => {{1,3,6},{2,4,5}} => 4
{{1,5},{2,3,4},{6}} => {{1},{2,6},{3,4,5}} => {{1,4,5},{2,6},{3}} => {{1,5},{2,3,6},{4}} => 6
{{1,6},{2,3,4,5}} => {{1,6},{2,3,4,5}} => {{1,3,4,5},{2,6}} => {{1,5},{2,3,4,6}} => 4
{{1},{2,3,4,5,6}} => {{1,2,3,4,5},{6}} => {{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}} => {{1,3,4,5},{2},{6}} => {{1},{2,3,4,6},{5}} => 3
{{1,6},{2,3,4},{5}} => {{1,6},{2},{3,4,5}} => {{1,4,5},{2},{3,6}} => {{1,4},{2,3,6},{5}} => 5
{{1},{2,3,4,6},{5}} => {{1,3},{2,4,5},{6}} => {{1,4},{2,3,5},{6}} => {{1},{2,4,5},{3,6}} => 2
{{1},{2,3,4},{5,6}} => {{1,2},{3,4,5},{6}} => {{1,2,4},{3,5},{6}} => {{1},{2,4},{3,5,6}} => 2
{{1},{2,3,4},{5},{6}} => {{1},{2},{3,4,5},{6}} => {{1,4,5},{2},{3},{6}} => {{1},{2,3,6},{4},{5}} => 4
{{1,5,6},{2,3},{4}} => {{1,2,6},{3},{4,5}} => {{1,2,5,6},{3},{4}} => {{1,2,5,6},{3},{4}} => 4
{{1,5},{2,3,6},{4}} => {{1,4,6},{2},{3,5}} => {{1,5,6},{2},{3,4}} => {{1,2,6},{3,4},{5}} => 4
{{1,5},{2,3},{4,6}} => {{1,3,6},{2},{4,5}} => {{1,5,6},{2,3},{4}} => {{1,2,6},{3},{4,5}} => 4
{{1,5},{2,3},{4},{6}} => {{1},{2,6},{3},{4,5}} => {{1,5},{2},{3,6},{4}} => {{1,4},{2,6},{3},{5}} => 5
{{1,6},{2,3,5},{4}} => {{1,6},{2,4},{3,5}} => {{1,5},{2,4},{3,6}} => {{1,4},{2,6},{3,5}} => 5
{{1},{2,3,5,6},{4}} => {{1,2,4},{3,5},{6}} => {{1,2,5},{3,4},{6}} => {{1},{2,5,6},{3,4}} => 1
{{1},{2,3,5},{4,6}} => {{1,3,4},{2,5},{6}} => {{1,5},{2,3,4},{6}} => {{1},{2,6},{3,4,5}} => 1
{{1},{2,3,5},{4},{6}} => {{1},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6}} => {{1},{2,6},{3,5},{4}} => 3
{{1,6},{2,3},{4,5}} => {{1,6},{2,3},{4,5}} => {{1,3,6},{2,5},{4}} => {{1,4,6},{2,5},{3}} => 6
{{1},{2,3,6},{4,5}} => {{1,4},{2,3,5},{6}} => {{1,3,5},{2,4},{6}} => {{1},{2,4,6},{3,5}} => 4
{{1},{2,3},{4,5,6}} => {{1,2,3},{4,5},{6}} => {{1,2,3,5},{4},{6}} => {{1},{2,4,5,6},{3}} => 1
{{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6}} => {{1},{2,5},{3},{4,6}} => 3
{{1,6},{2,3},{4},{5}} => {{1,6},{2},{3},{4,5}} => {{1,5},{2},{3},{4,6}} => {{1,3},{2,6},{4},{5}} => 4
{{1},{2,3,6},{4},{5}} => {{1,4},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6}} => {{1},{2,6},{3,4},{5}} => 2
{{1},{2,3},{4,6},{5}} => {{1,3},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6}} => {{1},{2,6},{3},{4,5}} => 2
{{1},{2,3},{4},{5,6}} => {{1,2},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6}} => {{1},{2,5,6},{3},{4}} => 2
{{1},{2,3},{4},{5},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6}} => {{1},{2,6},{3},{4},{5}} => 3
{{1,4,5,6},{2},{3}} => {{1,2,3,6},{4},{5}} => {{1,2,3},{4},{5,6}} => {{1,2},{3},{4,5,6}} => 0
{{1,4,5},{2,6},{3}} => {{1,5,6},{2,3},{4}} => {{1,3,5,6},{2},{4}} => {{1,2,4,6},{3},{5}} => 5
{{1,4,5},{2},{3,6}} => {{1,4,6},{2,3},{5}} => {{1,3},{2,4},{5,6}} => {{1,2},{3,5},{4,6}} => 2
{{1,4,5},{2},{3},{6}} => {{1},{2,3,6},{4},{5}} => {{1,3},{2},{4},{5,6}} => {{1,2},{3},{4,6},{5}} => 1
{{1,4,6},{2,5},{3}} => {{1,3,5,6},{2},{4}} => {{1},{2,3},{4,5,6}} => {{1,2,3},{4,5},{6}} => 0
{{1,4},{2,5,6},{3}} => {{1,2,5,6},{3},{4}} => {{1,2},{3},{4,5,6}} => {{1,2,3},{4},{5,6}} => 0
{{1,4},{2,5},{3,6}} => {{1,4,5,6},{2},{3}} => {{1},{2},{3,4,5,6}} => {{1,2,3,4},{5},{6}} => 0
{{1,4},{2,5},{3},{6}} => {{1},{2,5,6},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,2,4},{3},{5},{6}} => 2
{{1,4,6},{2},{3,5}} => {{1,3,4,6},{2},{5}} => {{1},{2,3,4},{5,6}} => {{1,2},{3,4,5},{6}} => 0
{{1,4},{2,6},{3,5}} => {{1,5,6},{2,4},{3}} => {{1},{2,4},{3,5,6}} => {{1,2,4},{3,5},{6}} => 3
{{1,4},{2},{3,5,6}} => {{1,2,4,6},{3},{5}} => {{1,2},{3,4},{5,6}} => {{1,2},{3,4},{5,6}} => 0
{{1,4},{2},{3,5},{6}} => {{1},{2,4,6},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,2},{3,5},{4},{6}} => 1
{{1,4,6},{2},{3},{5}} => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => {{1,3},{2},{4,5},{6}} => 1
{{1,4},{2,6},{3},{5}} => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,4},{2,3},{5},{6}} => 1
{{1,4},{2},{3,6},{5}} => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,3,4},{2},{5},{6}} => 1
{{1,4},{2},{3},{5,6}} => {{1,2},{3,6},{4},{5}} => {{1,2},{3},{4,6},{5}} => {{1,3},{2},{4},{5,6}} => 1
{{1,4},{2},{3},{5},{6}} => {{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} => {{1,4},{2},{3},{5},{6}} => 2
{{1,5,6},{2,4},{3}} => {{1,2,6},{3,5},{4}} => {{1,2},{3,5,6},{4}} => {{1,2,4},{3},{5,6}} => 2
{{1,5},{2,4,6},{3}} => {{1,3,6},{2,5},{4}} => {{1},{2,3,5,6},{4}} => {{1,2,4,5},{3},{6}} => 2
{{1,5},{2,4},{3,6}} => {{1,4,6},{2,5},{3}} => {{1},{2,5,6},{3,4}} => {{1,2,5},{3,4},{6}} => 2
{{1,5},{2,4},{3},{6}} => {{1},{2,6},{3,5},{4}} => {{1},{2,5},{3,6},{4}} => {{1,4},{2,5},{3},{6}} => 4
{{1,6},{2,4,5},{3}} => {{1,6},{2,3,5},{4}} => {{1,3,6},{2},{4,5}} => {{1,4,6},{2,3},{5}} => 3
{{1},{2,4,5,6},{3}} => {{1,2,3,5},{4},{6}} => {{1,2,3},{4,5},{6}} => {{1},{2,3},{4,5,6}} => 0
{{1},{2,4,5},{3,6}} => {{1,4,5},{2,3},{6}} => {{1,3},{2,4,5},{6}} => {{1},{2,3,5},{4,6}} => 3
{{1},{2,4,5},{3},{6}} => {{1},{2,3,5},{4},{6}} => {{1,3},{2},{4,5},{6}} => {{1},{2,3},{4,6},{5}} => 1
{{1,6},{2,4},{3,5}} => {{1,6},{2,4,5},{3}} => {{1},{2,4,5},{3,6}} => {{1,4},{2,3,5},{6}} => 3
{{1},{2,4,6},{3,5}} => {{1,3,4,5},{2},{6}} => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}} => 0
{{1},{2,4},{3,5,6}} => {{1,2,4,5},{3},{6}} => {{1,2},{3,4,5},{6}} => {{1},{2,3,4},{5,6}} => 0
{{1},{2,4},{3,5},{6}} => {{1},{2,4,5},{3},{6}} => {{1},{2,4,5},{3},{6}} => {{1},{2,3,5},{4},{6}} => 2
{{1,6},{2,4},{3},{5}} => {{1,6},{2},{3,5},{4}} => {{1},{2,5},{3},{4,6}} => {{1,3},{2,5},{4},{6}} => 3
{{1},{2,4,6},{3},{5}} => {{1,3},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6}} => {{1},{2,4,5},{3},{6}} => 1
{{1},{2,4},{3,6},{5}} => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}} => {{1},{2,5},{3,4},{6}} => 1
{{1},{2,4},{3},{5,6}} => {{1,2},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6}} => {{1},{2,4},{3},{5,6}} => 1
{{1},{2,4},{3},{5},{6}} => {{1},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6}} => {{1},{2,5},{3},{4},{6}} => 2
{{1,5,6},{2},{3,4}} => {{1,2,6},{3,4},{5}} => {{1,2,4},{3},{5,6}} => {{1,2},{3,5,6},{4}} => 1
{{1,5},{2,6},{3,4}} => {{1,5,6},{2},{3,4}} => {{1,4},{2},{3,5,6}} => {{1,2,4},{3,6},{5}} => 4
{{1,5},{2},{3,4,6}} => {{1,3,6},{2,4},{5}} => {{1,4},{2,3},{5,6}} => {{1,2},{3,6},{4,5}} => 1
{{1,5},{2},{3,4},{6}} => {{1},{2,6},{3,4},{5}} => {{1,4},{2},{3,6},{5}} => {{1,4},{2},{3,6},{5}} => 4
{{1,6},{2,5},{3,4}} => {{1,6},{2,5},{3,4}} => {{1,4},{2,5},{3,6}} => {{1,4},{2,5},{3,6}} => 6
{{1},{2,5,6},{3,4}} => {{1,2,5},{3,4},{6}} => {{1,2,4,5},{3},{6}} => {{1},{2,3,5,6},{4}} => 2
{{1},{2,5},{3,4,6}} => {{1,3,5},{2,4},{6}} => {{1,4,5},{2,3},{6}} => {{1},{2,3,6},{4,5}} => 2
{{1},{2,5},{3,4},{6}} => {{1},{2,5},{3,4},{6}} => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,6},{4}} => 4
{{1,6},{2},{3,4,5}} => {{1,6},{2,3,4},{5}} => {{1,3,4,6},{2},{5}} => {{1,3,4,6},{2},{5}} => 4
{{1},{2,6},{3,4,5}} => {{1,5},{2,3,4},{6}} => {{1,3,4},{2,5},{6}} => {{1},{2,5},{3,4,6}} => 3
{{1},{2},{3,4,5,6}} => {{1,2,3,4},{5},{6}} => {{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}} => {{1,3,4},{2},{5},{6}} => {{1},{2},{3,4,6},{5}} => 2
{{1,6},{2},{3,4},{5}} => {{1,6},{2},{3,4},{5}} => {{1,4,6},{2},{3},{5}} => {{1,3,6},{2},{4},{5}} => 5
{{1},{2,6},{3,4},{5}} => {{1,5},{2},{3,4},{6}} => {{1,4},{2},{3,5},{6}} => {{1},{2,4},{3,6},{5}} => 3
{{1},{2},{3,4,6},{5}} => {{1,3},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6}} => {{1},{2},{3,6},{4,5}} => 1
{{1},{2},{3,4},{5,6}} => {{1,2},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6}} => {{1},{2},{3,5,6},{4}} => 1
{{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6}} => {{1},{2},{3,6},{4},{5}} => 2
{{1,5,6},{2},{3},{4}} => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => {{1,2},{3},{4},{5,6}} => 0
{{1,5},{2,6},{3},{4}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => {{1,2,3},{4},{5},{6}} => 0
{{1,5},{2},{3,6},{4}} => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => {{1,2},{3,4},{5},{6}} => 0
{{1,5},{2},{3},{4,6}} => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => {{1,2},{3},{4,5},{6}} => 0
{{1,5},{2},{3},{4},{6}} => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => {{1,3},{2},{4},{5},{6}} => 1
{{1,6},{2,5},{3},{4}} => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => 2
{{1},{2,5,6},{3},{4}} => {{1,2,5},{3},{4},{6}} => {{1,2},{3},{4,5},{6}} => {{1},{2,3},{4},{5,6}} => 0
{{1},{2,5},{3,6},{4}} => {{1,4,5},{2},{3},{6}} => {{1},{2},{3,4,5},{6}} => {{1},{2,3,4},{5},{6}} => 0
{{1},{2,5},{3},{4,6}} => {{1,3,5},{2},{4},{6}} => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}} => 0
{{1},{2,5},{3},{4},{6}} => {{1},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6}} => {{1},{2,4},{3},{5},{6}} => 1
{{1,6},{2},{3,5},{4}} => {{1,6},{2,4},{3},{5}} => {{1},{2,4,6},{3},{5}} => {{1,3,5},{2},{4},{6}} => 3
{{1},{2,6},{3,5},{4}} => {{1,5},{2,4},{3},{6}} => {{1},{2,4},{3,5},{6}} => {{1},{2,4},{3,5},{6}} => 2
{{1},{2},{3,5,6},{4}} => {{1,2,4},{3},{5},{6}} => {{1,2},{3,4},{5},{6}} => {{1},{2},{3,4},{5,6}} => 0
{{1},{2},{3,5},{4,6}} => {{1,3,4},{2},{5},{6}} => {{1},{2,3,4},{5},{6}} => {{1},{2},{3,4,5},{6}} => 0
{{1},{2},{3,5},{4},{6}} => {{1},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6}} => {{1},{2},{3,5},{4},{6}} => 1
{{1,6},{2},{3},{4,5}} => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4,6},{5}} => {{1,3},{2},{4,6},{5}} => 2
{{1},{2,6},{3},{4,5}} => {{1,5},{2,3},{4},{6}} => {{1,3,5},{2},{4},{6}} => {{1},{2,4,6},{3},{5}} => 3
{{1},{2},{3,6},{4,5}} => {{1,4},{2,3},{5},{6}} => {{1,3},{2,4},{5},{6}} => {{1},{2},{3,5},{4,6}} => 2
{{1},{2},{3},{4,5,6}} => {{1,2,3},{4},{5},{6}} => {{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}} => {{1,3},{2},{4},{5},{6}} => {{1},{2},{3},{4,6},{5}} => 1
{{1,6},{2},{3},{4},{5}} => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,2},{3},{4},{5},{6}} => 0
{{1},{2,6},{3},{4},{5}} => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => {{1},{2,3},{4},{5},{6}} => 0
{{1},{2},{3,6},{4},{5}} => {{1,4},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}} => 0
{{1},{2},{3},{4,6},{5}} => {{1,3},{2},{4},{5},{6}} => {{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}} => {{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}} => {{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}} => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}} => 0
{{1,2,3,4,5,6},{7}} => {{1},{2,3,4,5,6,7}} => {{1,3,4,5,6,7},{2}} => {{1,2,3,4,5,7},{6}} => 5
{{1,2,3,4,5,7},{6}} => {{1,3},{2,4,5,6,7}} => {{1,4},{2,3,5,6,7}} => {{1,2,3,5,6},{4,7}} => 4
{{1,2,3,4,5},{6,7}} => {{1,2},{3,4,5,6,7}} => {{1,2,4},{3,5,6,7}} => {{1,2,3,5},{4,6,7}} => 4
{{1,2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6,7}} => {{1,4,5,6,7},{2},{3}} => {{1,2,3,4,7},{5},{6}} => 8
{{1,2,3,4,6,7},{5}} => {{1,2,4},{3,5,6,7}} => {{1,2,5,7},{3,4,6}} => {{1,3,6,7},{2,4,5}} => 4
{{1,2,3,4,6},{5,7}} => {{1,3,4},{2,5,6,7}} => {{1,5,7},{2,3,4,6}} => {{1,3,7},{2,4,5,6}} => 4
{{1,2,3,4,6},{5},{7}} => {{1},{2,4},{3,5,6,7}} => {{1,5},{2,4,6,7},{3}} => {{1,2,4,6},{3,7},{5}} => 7
{{1,2,3,4,7},{5,6}} => {{1,4},{2,3,5,6,7}} => {{1,3,5,6,7},{2,4}} => {{1,2,3,5,7},{4,6}} => 8
{{1,2,3,4},{5,6,7}} => {{1,2,3},{4,5,6,7}} => {{1,2,3,5,7},{4,6}} => {{1,3,5,6,7},{2,4}} => 4
{{1,2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6,7}} => {{1,3},{2,5},{4,6,7}} => {{1,2,4},{3,6},{5,7}} => 5
{{1,2,3,4,7},{5},{6}} => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3,4,6,7}} => {{1,2,4,5},{3,7},{6}} => 4
{{1,2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6,7}} => {{1,5},{2,3},{4,6,7}} => {{1,2,4},{3,7},{5,6}} => 4
{{1,2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6,7}} => {{1,2,5},{3},{4,6,7}} => {{1,2,4},{3,6,7},{5}} => 4
{{1,2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => {{1,2,3,7},{4},{5},{6}} => 9
{{1,2,3,5,6,7},{4}} => {{1,2,3,5},{4,6,7}} => {{1,2,3,6},{4,5,7}} => {{1,3,4},{2,5,6,7}} => 2
{{1,2,3,5,6},{4,7}} => {{1,4,5},{2,3,6,7}} => {{1,3,6},{2,4,5,7}} => {{1,3,4,6},{2,5,7}} => 7
{{1,2,3,5,6},{4},{7}} => {{1},{2,3,5},{4,6,7}} => {{1,3},{2,6},{4,5,7}} => {{1,3,4},{2,6},{5,7}} => 4
{{1,2,3,5,7},{4,6}} => {{1,3,4,5},{2,6,7}} => {{1,6},{2,3,4,5,7}} => {{1,3,4,5,6},{2,7}} => 2
{{1,2,3,5},{4,6,7}} => {{1,2,4,5},{3,6,7}} => {{1,2,6},{3,4,5,7}} => {{1,3,4,5},{2,6,7}} => 2
{{1,2,3,5},{4,6},{7}} => {{1},{2,4,5},{3,6,7}} => {{1,6},{2,4,5,7},{3}} => {{1,3,4,6},{2,7},{5}} => 6
{{1,2,3,5,7},{4},{6}} => {{1,3},{2,5},{4,6,7}} => {{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5,6}} => 5
{{1,2,3,5},{4,7},{6}} => {{1,4},{2,5},{3,6,7}} => {{1,6},{2,5},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => 5
{{1,2,3,5},{4},{6,7}} => {{1,2},{3,5},{4,6,7}} => {{1,2,6},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => 5
{{1,2,3,5},{4},{6},{7}} => {{1},{2},{3,5},{4,6,7}} => {{1,6},{2,5,7},{3},{4}} => {{1,3,6},{2,7},{4},{5}} => 8
{{1,2,3,6,7},{4,5}} => {{1,2,5},{3,4,6,7}} => {{1,2,4,5,7},{3,6}} => {{1,3,4,6,7},{2,5}} => 5
{{1,2,3,6},{4,5,7}} => {{1,3,5},{2,4,6,7}} => {{1,4,5,7},{2,3,6}} => {{1,3,4,7},{2,5,6}} => 5
{{1,2,3,6},{4,5},{7}} => {{1},{2,5},{3,4,6,7}} => {{1,4,6,7},{2,5},{3}} => {{1,2,4,7},{3,6},{5}} => 10
{{1,2,3,7},{4,5,6}} => {{1,5},{2,3,4,6,7}} => {{1,3,4},{2,5,6,7}} => {{1,2,3,6},{4,5,7}} => 5
{{1,2,3},{4,5,6,7}} => {{1,2,3,4},{5,6,7}} => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4,5,6,7}} => 2
{{1,2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6,7}} => {{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,5,7}} => 5
{{1,2,3,7},{4,5},{6}} => {{1,5},{2},{3,4,6,7}} => {{1,4,6,7},{2},{3,5}} => {{1,2,4,7},{3,5},{6}} => 9
{{1,2,3},{4,5,7},{6}} => {{1,3},{2,4},{5,6,7}} => {{1,4,7},{2,3,6},{5}} => {{1,4,7},{2,5,6},{3}} => 6
{{1,2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6,7}} => {{1,2,4,7},{3,6},{5}} => {{1,4,6,7},{2,5},{3}} => 6
{{1,2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6,7}} => {{1,4},{2,6},{3},{5,7}} => {{1,3},{2,6},{4,7},{5}} => 6
{{1,2,3,6,7},{4},{5}} => {{1,2,5},{3},{4,6,7}} => {{1,2,6},{3},{4,5,7}} => {{1,3,4},{2,6,7},{5}} => 3
{{1,2,3,6},{4,7},{5}} => {{1,4,5},{2},{3,6,7}} => {{1,6},{2},{3,4,5,7}} => {{1,3,4,5},{2,7},{6}} => 3
{{1,2,3,6},{4},{5,7}} => {{1,3,5},{2},{4,6,7}} => {{1,6},{2,3},{4,5,7}} => {{1,3,4},{2,7},{5,6}} => 3
{{1,2,3,6},{4},{5},{7}} => {{1},{2,5},{3},{4,6,7}} => {{1,6},{2},{3,5,7},{4}} => {{1,3,5},{2,7},{4},{6}} => 6
{{1,2,3,7},{4,6},{5}} => {{1,5},{2,4},{3,6,7}} => {{1,6},{2,4,7},{3,5}} => {{1,4,6},{2,7},{3,5}} => 7
{{1,2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6,7}} => {{1,2,6},{3,4},{5,7}} => {{1,3},{2,6,7},{4,5}} => 3
{{1,2,3},{4,6},{5,7}} => {{1,3,4},{2},{5,6,7}} => {{1,6},{2,3,4},{5,7}} => {{1,3},{2,7},{4,5,6}} => 3
{{1,2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6,7}} => {{1,6},{2,4},{3},{5,7}} => {{1,3},{2,7},{4,6},{5}} => 5
{{1,2,3,7},{4},{5,6}} => {{1,5},{2,3},{4,6,7}} => {{1,3,5},{2,6},{4,7}} => {{1,4},{2,6},{3,5,7}} => 7
{{1,2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6,7}} => {{1,3,6},{2,4,7},{5}} => {{1,4,6},{2,5,7},{3}} => 8
{{1,2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6,7}} => {{1,2,3,6},{4},{5,7}} => {{1,3},{2,5,6,7},{4}} => 3
{{1,2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6,7}} => {{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4},{5,7}} => 5
{{1,2,3,7},{4},{5},{6}} => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2},{3},{4,5,7}} => {{1,3,4},{2,7},{5},{6}} => 4
{{1,2,3},{4,7},{5},{6}} => {{1,4},{2},{3},{5,6,7}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,7},{4,5},{6}} => 4
{{1,2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6,7}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => 4
{{1,2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6,7}} => {{1,2,6},{3},{4},{5,7}} => {{1,3},{2,6,7},{4},{5}} => 4
{{1,2,3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => {{1,2,7},{3},{4},{5},{6}} => 8
{{1,2,4,5,6,7},{3}} => {{1,2,3,4,6},{5,7}} => {{1,2,3,4,7},{5,6}} => {{1,4,5,6,7},{2,3}} => 1
{{1,2,4,5,6},{3,7}} => {{1,5,6},{2,3,4,7}} => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,5,7}} => 7
{{1,2,4,5,6},{3},{7}} => {{1},{2,3,4,6},{5,7}} => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,3},{4,5,7}} => 4
{{1,2,4,5,7},{3,6}} => {{1,3,5,6},{2,4,7}} => {{1,4,5,6},{2,3,7}} => {{1,5,6},{2,3,4,7}} => 4
{{1,2,4,5},{3,6,7}} => {{1,2,5,6},{3,4,7}} => {{1,2,4,5,6},{3,7}} => {{1,5},{2,3,4,6,7}} => 4
{{1,2,4,5},{3,6},{7}} => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,5,6},{3}} => {{1,4,7},{2,3,6},{5}} => 9
{{1,2,4,5,7},{3},{6}} => {{1,3},{2,4,6},{5,7}} => {{1,4,6},{2,3,7},{5}} => {{1,5,6},{2,4,7},{3}} => 5
{{1,2,4,5},{3,7},{6}} => {{1,5},{2,6},{3,4,7}} => {{1,4,7},{2,6},{3,5}} => {{1,4,7},{2,6},{3,5}} => 9
{{1,2,4,5},{3},{6,7}} => {{1,2},{3,4,6},{5,7}} => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,4,6,7},{3}} => 5
{{1,2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6},{5,7}} => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2,3},{4,7},{5}} => 5
{{1,2,4,6,7},{3,5}} => {{1,2,4,5,6},{3,7}} => {{1,2,7},{3,4,5,6}} => {{1,6,7},{2,3,4,5}} => 1
{{1,2,4,6},{3,5,7}} => {{1,3,4,5,6},{2,7}} => {{1,7},{2,3,4,5,6}} => {{1,7},{2,3,4,5,6}} => 1
{{1,2,4,6},{3,5},{7}} => {{1},{2,4,5,6},{3,7}} => {{1,7},{2,4,5,6},{3}} => {{1,7},{2,3,4,6},{5}} => 5
{{1,2,4,7},{3,5,6}} => {{1,4,5,6},{2,3,7}} => {{1,3,7},{2,4,5,6}} => {{1,5,7},{2,3,4,6}} => 6
{{1,2,4},{3,5,6,7}} => {{1,2,3,5,6},{4,7}} => {{1,2,3,7},{4,5,6}} => {{1,5,6,7},{2,3,4}} => 1
{{1,2,4},{3,5,6},{7}} => {{1},{2,3,5,6},{4,7}} => {{1,3},{2,7},{4,5,6}} => {{1,6},{2,3,4},{5,7}} => 3
{{1,2,4,7},{3,5},{6}} => {{1,4},{2,5,6},{3,7}} => {{1,7},{2,5},{3,4,6}} => {{1,7},{2,4,5},{3,6}} => 4
{{1,2,4},{3,5,7},{6}} => {{1,3},{2,5,6},{4,7}} => {{1,7},{2,3,5},{4,6}} => {{1,7},{2,4},{3,5,6}} => 4
{{1,2,4},{3,5},{6,7}} => {{1,2},{3,5,6},{4,7}} => {{1,2,7},{3,5},{4,6}} => {{1,6,7},{2,4},{3,5}} => 4
{{1,2,4},{3,5},{6},{7}} => {{1},{2},{3,5,6},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1,7},{2,3,6},{4},{5}} => 7
{{1,2,4,6,7},{3},{5}} => {{1,2,4},{3,6},{5,7}} => {{1,2,7},{3,4,6},{5}} => {{1,6,7},{2,4,5},{3}} => 3
{{1,2,4,6},{3,7},{5}} => {{1,5},{2,4,6},{3,7}} => {{1,7},{2,4,6},{3,5}} => {{1,7},{2,4,6},{3,5}} => 6
{{1,2,4,6},{3},{5,7}} => {{1,3,4},{2,6},{5,7}} => {{1,7},{2,3,4,6},{5}} => {{1,7},{2,4,5,6},{3}} => 3
{{1,2,4,6},{3},{5},{7}} => {{1},{2,4},{3,6},{5,7}} => {{1,7},{2,4},{3,6},{5}} => {{1,7},{2,5},{3},{4,6}} => 6
{{1,2,4,7},{3,6},{5}} => {{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}} => {{1,7},{2,6},{3,4,5}} => 3
{{1,2,4},{3,6,7},{5}} => {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} => {{1,6,7},{2,5},{3,4}} => 3
{{1,2,4},{3,6},{5,7}} => {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}} => {{1,7},{2,5,6},{3,4}} => 3
{{1,2,4},{3,6},{5},{7}} => {{1},{2,5},{3,6},{4,7}} => {{1,7},{2,6},{3,5},{4}} => {{1,7},{2,6},{3,5},{4}} => 6
{{1,2,4,7},{3},{5,6}} => {{1,4},{2,3,6},{5,7}} => {{1,3,7},{2,4,6},{5}} => {{1,5,7},{2,4,6},{3}} => 7
{{1,2,4},{3,7},{5,6}} => {{1,5},{2,3,6},{4,7}} => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,4},{3,5,7}} => 6
{{1,2,4},{3},{5,6,7}} => {{1,2,3},{4,6},{5,7}} => {{1,2,3,7},{4,6},{5}} => {{1,5,6,7},{2,4},{3}} => 3
{{1,2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,6},{2,7},{4},{5}} => {{1,6},{2,5,7},{3},{4}} => 7
{{1,2,4,7},{3},{5},{6}} => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => {{1,7},{2,6},{3},{4,5}} => 5
{{1,2,4},{3,7},{5},{6}} => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1,7},{2,6},{3,4},{5}} => 5
{{1,2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6},{5,7}} => {{1,7},{2,3,6},{4},{5}} => {{1,7},{2,5,6},{3},{4}} => 5
{{1,2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6},{5,7}} => {{1,2,7},{3,6},{4},{5}} => {{1,6,7},{2,5},{3},{4}} => 5
{{1,2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6},{5,7}} => {{1,7},{2,6},{3},{4},{5}} => {{1,7},{2,6},{3},{4},{5}} => 7
{{1,2,5,6,7},{3,4}} => {{1,2,3,6},{4,5,7}} => {{1,2,3,5,6},{4,7}} => {{1,4},{2,3,5,6,7}} => 3
{{1,2,5,6},{3,4,7}} => {{1,4,6},{2,3,5,7}} => {{1,3,5,7},{2,4,6}} => {{1,3,5,7},{2,4,6}} => 9
{{1,2,5,6},{3,4},{7}} => {{1},{2,3,6},{4,5,7}} => {{1,3},{2,5,6},{4,7}} => {{1,4},{2,3,6},{5,7}} => 6
{{1,2,5,7},{3,4,6}} => {{1,3,4,6},{2,5,7}} => {{1,5,6},{2,3,4,7}} => {{1,4,5,6},{2,3,7}} => 3
{{1,2,5},{3,4,6,7}} => {{1,2,4,6},{3,5,7}} => {{1,2,5,6},{3,4,7}} => {{1,4,5},{2,3,6,7}} => 3
{{1,2,5},{3,4,6},{7}} => {{1},{2,4,6},{3,5,7}} => {{1,5,6},{2,4,7},{3}} => {{1,4,6},{2,3,7},{5}} => 7
{{1,2,5,7},{3,4},{6}} => {{1,3},{2,6},{4,5,7}} => {{1,5},{2,3,6},{4,7}} => {{1,4},{2,5,6},{3,7}} => 6
{{1,2,5},{3,4,7},{6}} => {{1,4},{2,6},{3,5,7}} => {{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,6},{3,7}} => 6
{{1,2,5},{3,4},{6,7}} => {{1,2},{3,6},{4,5,7}} => {{1,2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6,7}} => 6
{{1,2,5},{3,4},{6},{7}} => {{1},{2},{3,6},{4,5,7}} => {{1,5,7},{2,6},{3},{4}} => {{1,3,7},{2,6},{4},{5}} => 10
{{1,2,6,7},{3,4,5}} => {{1,2,6},{3,4,5,7}} => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6,7}} => 6
{{1,2,6},{3,4,5,7}} => {{1,3,6},{2,4,5,7}} => {{1,4,6},{2,3,5,7}} => {{1,3,5,6},{2,4,7}} => 6
{{1,2,6},{3,4,5},{7}} => {{1},{2,6},{3,4,5,7}} => {{1,4,5},{2,6,7},{3}} => {{1,2,6},{3,4,7},{5}} => 8
{{1,2,7},{3,4,5,6}} => {{1,6},{2,3,4,5,7}} => {{1,3,4,5},{2,6,7}} => {{1,2,6},{3,4,5,7}} => 5
{{1,2},{3,4,5,6,7}} => {{1,2,3,4,5},{6,7}} => {{1,2,3,4,5,7},{6}} => {{1,3,4,5,6,7},{2}} => 1
{{1,2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6,7}} => {{1,3,4,5},{2,7},{6}} => {{1,6},{2},{3,4,5,7}} => 5
{{1,2,7},{3,4,5},{6}} => {{1,6},{2},{3,4,5,7}} => {{1,4,5},{2},{3,6,7}} => {{1,2,5},{3,4,7},{6}} => 6
{{1,2},{3,4,5,7},{6}} => {{1,3},{2,4,5},{6,7}} => {{1,4,7},{2,3,5},{6}} => {{1,4,7},{2},{3,5,6}} => 5
{{1,2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6,7}} => {{1,2,4,7},{3,5},{6}} => {{1,4,6,7},{2},{3,5}} => 5
{{1,2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6,7}} => {{1,4,5},{2,7},{3},{6}} => {{1,6},{2},{3,4,7},{5}} => 7
{{1,2,6,7},{3,4},{5}} => {{1,2,6},{3},{4,5,7}} => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,3,6,7},{5}} => 5
{{1,2,6},{3,4,7},{5}} => {{1,4,6},{2},{3,5,7}} => {{1,5,6},{2},{3,4,7}} => {{1,4,5},{2,3,7},{6}} => 5
{{1,2,6},{3,4},{5,7}} => {{1,3,6},{2},{4,5,7}} => {{1,5,6},{2,3},{4,7}} => {{1,4},{2,3,7},{5,6}} => 5
{{1,2,6},{3,4},{5},{7}} => {{1},{2,6},{3},{4,5,7}} => {{1,5,7},{2},{3,6},{4}} => {{1,3,7},{2,5},{4},{6}} => 9
{{1,2,7},{3,4,6},{5}} => {{1,6},{2,4},{3,5,7}} => {{1,5},{2,4,7},{3,6}} => {{1,4,6},{2,5},{3,7}} => 8
{{1,2},{3,4,6,7},{5}} => {{1,2,4},{3,5},{6,7}} => {{1,2,5},{3,4,7},{6}} => {{1,4,5},{2},{3,6,7}} => 3
{{1,2},{3,4,6},{5,7}} => {{1,3,4},{2,5},{6,7}} => {{1,5},{2,3,4,7},{6}} => {{1,4,5,6},{2},{3,7}} => 3
{{1,2},{3,4,6},{5},{7}} => {{1},{2,4},{3,5},{6,7}} => {{1,5},{2,4},{3,7},{6}} => {{1,5},{2},{3,7},{4,6}} => 6
{{1,2,7},{3,4},{5,6}} => {{1,6},{2,3},{4,5,7}} => {{1,3,6},{2,5},{4,7}} => {{1,4},{2,5,7},{3,6}} => 8
{{1,2},{3,4,7},{5,6}} => {{1,4},{2,3,5},{6,7}} => {{1,3,5},{2,4,7},{6}} => {{1,4,6},{2},{3,5,7}} => 7
{{1,2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6,7}} => {{1,2,3,5},{4,7},{6}} => {{1,4},{2},{3,5,6,7}} => 3
{{1,2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,7},{2,5},{4},{6}} => {{1,5,7},{2},{3,6},{4}} => 7
{{1,2,7},{3,4},{5},{6}} => {{1,6},{2},{3},{4,5,7}} => {{1,5,7},{2},{3},{4,6}} => {{1,3,7},{2,4},{5},{6}} => 8
{{1,2},{3,4,7},{5},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,5},{2,7},{3,4},{6}} => {{1,6},{2},{3,7},{4,5}} => 5
{{1,2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,5},{2,3,7},{4},{6}} => {{1,5,6},{2},{3,7},{4}} => 5
{{1,2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6,7}} => {{1,2,5},{3,7},{4},{6}} => {{1,5},{2},{3,6,7},{4}} => 5
{{1,2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6,7}} => {{1,5},{2,7},{3},{4},{6}} => {{1,6},{2},{3,7},{4},{5}} => 7
{{1,2,5,6,7},{3},{4}} => {{1,2,3,6},{4},{5,7}} => {{1,2,3,7},{4},{5,6}} => {{1,5,6,7},{2,3},{4}} => 2
{{1,2,5,6},{3,7},{4}} => {{1,5,6},{2,3},{4,7}} => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,3,5,7},{4}} => 7
{{1,2,5,6},{3},{4,7}} => {{1,4,6},{2,3},{5,7}} => {{1,3,7},{2,4},{5,6}} => {{1,5,7},{2,3},{4,6}} => 5
{{1,2,5,6},{3},{4},{7}} => {{1},{2,3,6},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => 4
{{1,2,5,7},{3,6},{4}} => {{1,3,5,6},{2},{4,7}} => {{1,7},{2,3},{4,5,6}} => {{1,7},{2,3,4},{5,6}} => 2
{{1,2,5},{3,6,7},{4}} => {{1,2,5,6},{3},{4,7}} => {{1,2,7},{3},{4,5,6}} => {{1,6,7},{2,3,4},{5}} => 2
{{1,2,5},{3,6},{4,7}} => {{1,4,5,6},{2},{3,7}} => {{1,7},{2},{3,4,5,6}} => {{1,7},{2,3,4,5},{6}} => 2
{{1,2,5},{3,6},{4},{7}} => {{1},{2,5,6},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1,7},{2,3,5},{4},{6}} => 5
{{1,2,5,7},{3},{4,6}} => {{1,3,4,6},{2},{5,7}} => {{1,7},{2,3,4},{5,6}} => {{1,7},{2,3},{4,5,6}} => 2
{{1,2,5},{3,7},{4,6}} => {{1,5,6},{2,4},{3,7}} => {{1,7},{2,4},{3,5,6}} => {{1,7},{2,3,5},{4,6}} => 5
{{1,2,5},{3},{4,6,7}} => {{1,2,4,6},{3},{5,7}} => {{1,2,7},{3,4},{5,6}} => {{1,6,7},{2,3},{4,5}} => 2
{{1,2,5},{3},{4,6},{7}} => {{1},{2,4,6},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1,7},{2,3},{4,6},{5}} => 4
{{1,2,5,7},{3},{4},{6}} => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => {{1,7},{2,4},{3},{5,6}} => 4
{{1,2,5},{3,7},{4},{6}} => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1,7},{2,5},{3,4},{6}} => 4
{{1,2,5},{3},{4,7},{6}} => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1,7},{2,4,5},{3},{6}} => 4
{{1,2,5},{3},{4},{6,7}} => {{1,2},{3,6},{4},{5,7}} => {{1,2,7},{3},{4,6},{5}} => {{1,6,7},{2,4},{3},{5}} => 4
{{1,2,5},{3},{4},{6},{7}} => {{1},{2},{3,6},{4},{5,7}} => {{1,7},{2},{3,6},{4},{5}} => {{1,7},{2,5},{3},{4},{6}} => 6
{{1,2,6,7},{3,5},{4}} => {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5,6},{4}} => {{1,6,7},{2,3,5},{4}} => 4
{{1,2,6},{3,5,7},{4}} => {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5,6},{4}} => {{1,7},{2,3,5,6},{4}} => 4
{{1,2,6},{3,5},{4,7}} => {{1,4,6},{2,5},{3,7}} => {{1,7},{2,5,6},{3,4}} => {{1,7},{2,3,6},{4,5}} => 4
{{1,2,6},{3,5},{4},{7}} => {{1},{2,6},{3,5},{4,7}} => {{1,7},{2,5},{3,6},{4}} => {{1,7},{2,5},{3,6},{4}} => 7
{{1,2,7},{3,5,6},{4}} => {{1,6},{2,3,5},{4,7}} => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,5,7},{3,4}} => 5
{{1,2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6,7}} => {{1,2,3,7},{4,5},{6}} => {{1,5,6,7},{2},{3,4}} => 2
{{1,2},{3,5,6},{4,7}} => {{1,4,5},{2,3},{6,7}} => {{1,3,7},{2,4,5},{6}} => {{1,5,7},{2},{3,4,6}} => 6
{{1,2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6,7}} => {{1,3},{2,7},{4,5},{6}} => {{1,6},{2},{3,4},{5,7}} => 4
{{1,2,7},{3,5},{4,6}} => {{1,6},{2,4,5},{3,7}} => {{1,7},{2,4,5},{3,6}} => {{1,7},{2,5},{3,4,6}} => 5
{{1,2},{3,5,7},{4,6}} => {{1,3,4,5},{2},{6,7}} => {{1,7},{2,3,4,5},{6}} => {{1,7},{2},{3,4,5,6}} => 2
{{1,2},{3,5},{4,6,7}} => {{1,2,4,5},{3},{6,7}} => {{1,2,7},{3,4,5},{6}} => {{1,6,7},{2},{3,4,5}} => 2
{{1,2},{3,5},{4,6},{7}} => {{1},{2,4,5},{3},{6,7}} => {{1,7},{2,4,5},{3},{6}} => {{1,7},{2},{3,4,6},{5}} => 5
{{1,2,7},{3,5},{4},{6}} => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5},{3},{4,6}} => {{1,7},{2,4},{3,6},{5}} => 6
{{1,2},{3,5,7},{4},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,7},{2,3,5},{4},{6}} => {{1,7},{2},{3,5,6},{4}} => 4
{{1,2},{3,5},{4,7},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,7},{2,5},{3,4},{6}} => {{1,7},{2},{3,6},{4,5}} => 4
{{1,2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6,7}} => {{1,2,7},{3,5},{4},{6}} => {{1,6,7},{2},{3,5},{4}} => 4
{{1,2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6,7}} => {{1,7},{2,5},{3},{4},{6}} => {{1,7},{2},{3,6},{4},{5}} => 6
{{1,2,6,7},{3},{4,5}} => {{1,2,6},{3,4},{5,7}} => {{1,2,4},{3,7},{5,6}} => {{1,5},{2,3},{4,6,7}} => 3
{{1,2,6},{3,7},{4,5}} => {{1,5,6},{2},{3,4,7}} => {{1,4,7},{2},{3,5,6}} => {{1,4,7},{2,3,5},{6}} => 7
{{1,2,6},{3},{4,5,7}} => {{1,3,6},{2,4},{5,7}} => {{1,4},{2,3,7},{5,6}} => {{1,5,6},{2,3},{4,7}} => 3
{{1,2,6},{3},{4,5},{7}} => {{1},{2,6},{3,4},{5,7}} => {{1,4},{2,7},{3,6},{5}} => {{1,6},{2,5},{3},{4,7}} => 7
{{1,2,7},{3,6},{4,5}} => {{1,6},{2,5},{3,4,7}} => {{1,4,7},{2,5},{3,6}} => {{1,4,7},{2,5},{3,6}} => 10
{{1,2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6,7}} => {{1,2,4,5},{3,7},{6}} => {{1,5},{2},{3,4,6,7}} => 4
{{1,2},{3,6},{4,5,7}} => {{1,3,5},{2,4},{6,7}} => {{1,4,5},{2,3,7},{6}} => {{1,5,6},{2},{3,4,7}} => 4
{{1,2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6,7}} => {{1,4},{2,5},{3,7},{6}} => {{1,5},{2},{3,6},{4,7}} => 7
{{1,2,7},{3},{4,5,6}} => {{1,6},{2,3,4},{5,7}} => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,4,5,7},{3}} => 6
{{1,2},{3,7},{4,5,6}} => {{1,5},{2,3,4},{6,7}} => {{1,3,4,7},{2,5},{6}} => {{1,4,5,7},{2},{3,6}} => 6
{{1,2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6,7}} => {{1,2,3,4,7},{5},{6}} => {{1,4,5,6,7},{2},{3}} => 2
{{1,2},{3},{4,5,6},{7}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,4},{2,7},{5},{6}} => {{1,6},{2},{3},{4,5,7}} => 5
{{1,2,7},{3},{4,5},{6}} => {{1,6},{2},{3,4},{5,7}} => {{1,4,6},{2,7},{3},{5}} => {{1,6},{2,4,7},{3},{5}} => 8
{{1,2},{3,7},{4,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,4},{2,7},{3,5},{6}} => {{1,6},{2},{3,5},{4,7}} => 6
{{1,2},{3},{4,5,7},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,4},{2,3,7},{5},{6}} => {{1,5,6},{2},{3},{4,7}} => 4
{{1,2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6,7}} => {{1,2,4},{3,7},{5},{6}} => {{1,5},{2},{3},{4,6,7}} => 4
{{1,2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6,7}} => {{1,4},{2,7},{3},{5},{6}} => {{1,6},{2},{3},{4,7},{5}} => 6
{{1,2,6,7},{3},{4},{5}} => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => 3
{{1,2,6},{3,7},{4},{5}} => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => {{1,7},{2,3,4},{5},{6}} => 3
{{1,2,6},{3},{4,7},{5}} => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => {{1,7},{2,3},{4,5},{6}} => 3
{{1,2,6},{3},{4},{5,7}} => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => {{1,7},{2,3},{4},{5,6}} => 3
{{1,2,6},{3},{4},{5},{7}} => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => {{1,7},{2,4},{3},{5},{6}} => 5
{{1,2,7},{3,6},{4},{5}} => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 5
{{1,2},{3,6,7},{4},{5}} => {{1,2,5},{3},{4},{6,7}} => {{1,2,7},{3},{4,5},{6}} => {{1,6,7},{2},{3,4},{5}} => 3
{{1,2},{3,6},{4,7},{5}} => {{1,4,5},{2},{3},{6,7}} => {{1,7},{2},{3,4,5},{6}} => {{1,7},{2},{3,4,5},{6}} => 3
{{1,2},{3,6},{4},{5,7}} => {{1,3,5},{2},{4},{6,7}} => {{1,7},{2,3},{4,5},{6}} => {{1,7},{2},{3,4},{5,6}} => 3
{{1,2},{3,6},{4},{5},{7}} => {{1},{2,5},{3},{4},{6,7}} => {{1,7},{2},{3,5},{4},{6}} => {{1,7},{2},{3,5},{4},{6}} => 5
{{1,2,7},{3},{4,6},{5}} => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4,6},{3},{5}} => {{1,7},{2,4,6},{3},{5}} => 6
{{1,2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6,7}} => {{1,7},{2,4},{3,5},{6}} => {{1,7},{2},{3,5},{4,6}} => 5
{{1,2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6,7}} => {{1,2,7},{3,4},{5},{6}} => {{1,6,7},{2},{3},{4,5}} => 3
{{1,2},{3},{4,6},{5,7}} => {{1,3,4},{2},{5},{6,7}} => {{1,7},{2,3,4},{5},{6}} => {{1,7},{2},{3},{4,5,6}} => 3
{{1,2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6,7}} => {{1,7},{2,4},{3},{5},{6}} => {{1,7},{2},{3},{4,6},{5}} => 5
{{1,2,7},{3},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4,6},{5}} => {{1,6},{2,4},{3},{5,7}} => 5
{{1,2},{3,7},{4},{5,6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3,5},{2,7},{4},{6}} => {{1,6},{2},{3,5,7},{4}} => 6
{{1,2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,7},{2,4},{5},{6}} => {{1,5,7},{2},{3},{4,6}} => 6
{{1,2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6,7}} => {{1,2,3,7},{4},{5},{6}} => {{1,5,6,7},{2},{3},{4}} => 3
{{1,2},{3},{4},{5,6},{7}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3},{2,7},{4},{5},{6}} => {{1,6},{2},{3},{4},{5,7}} => 5
{{1,2,7},{3},{4},{5},{6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1,7},{2,3},{4},{5},{6}} => 4
{{1,2},{3,7},{4},{5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => {{1,7},{2},{3,4},{5},{6}} => 4
{{1,2},{3},{4,7},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,7},{2},{3,4},{5},{6}} => {{1,7},{2},{3},{4,5},{6}} => 4
{{1,2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,7},{2,3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5,6}} => 4
{{1,2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6,7}} => {{1,2,7},{3},{4},{5},{6}} => {{1,6,7},{2},{3},{4},{5}} => 4
{{1,2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,7},{2},{3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5},{6}} => 5
{{1,3,4,5,6,7},{2}} => {{1,2,3,4,5,7},{6}} => {{1,2,3,4,5},{6,7}} => {{1,2},{3,4,5,6,7}} => 0
{{1,3,4,5,6},{2,7}} => {{1,6,7},{2,3,4,5}} => {{1,3,4,5,7},{2,6}} => {{1,3,4,5,7},{2,6}} => 6
{{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,7},{6}} => {{1,3,4,5},{2},{6,7}} => {{1,2},{3,4,5,7},{6}} => 3
{{1,3,4,5,7},{2,6}} => {{1,3,6,7},{2,4,5}} => {{1,4,6,7},{2,3,5}} => {{1,2,4,7},{3,5,6}} => 6
{{1,3,4,5},{2,6,7}} => {{1,2,6,7},{3,4,5}} => {{1,2,4,6,7},{3,5}} => {{1,2,4,6,7},{3,5}} => 6
{{1,3,4,5},{2,6},{7}} => {{1},{2,6,7},{3,4,5}} => {{1,4,5,7},{2,6},{3}} => {{1,3,4,7},{2,6},{5}} => 9
{{1,3,4,5,7},{2},{6}} => {{1,3},{2,4,5,7},{6}} => {{1,4},{2,3,5},{6,7}} => {{1,2},{3,5,6},{4,7}} => 2
{{1,3,4,5},{2,7},{6}} => {{1,6},{2,7},{3,4,5}} => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,4,7}} => 7
{{1,3,4,5},{2},{6,7}} => {{1,2},{3,4,5,7},{6}} => {{1,2,4},{3,5},{6,7}} => {{1,2},{3,5},{4,6,7}} => 2
{{1,3,4,5},{2},{6},{7}} => {{1},{2},{3,4,5,7},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,2},{3,4,7},{5},{6}} => 4
{{1,3,4,6,7},{2,5}} => {{1,2,4,6,7},{3,5}} => {{1,2,5,6,7},{3,4}} => {{1,2,3,6,7},{4,5}} => 3
{{1,3,4,6},{2,5,7}} => {{1,3,4,6,7},{2,5}} => {{1,5,6,7},{2,3,4}} => {{1,2,3,7},{4,5,6}} => 3
{{1,3,4,6},{2,5},{7}} => {{1},{2,4,6,7},{3,5}} => {{1,5,6,7},{2,4},{3}} => {{1,2,3,7},{4,6},{5}} => 7
{{1,3,4,7},{2,5,6}} => {{1,4,6,7},{2,3,5}} => {{1,3,5},{2,4,6,7}} => {{1,2,4,6},{3,5,7}} => 8
{{1,3,4},{2,5,6,7}} => {{1,2,3,6,7},{4,5}} => {{1,2,3,5,6,7},{4}} => {{1,2,3,5,6,7},{4}} => 3
{{1,3,4},{2,5,6},{7}} => {{1},{2,3,6,7},{4,5}} => {{1,3},{2,5,6,7},{4}} => {{1,2,3,6},{4},{5,7}} => 7
{{1,3,4,7},{2,5},{6}} => {{1,4},{2,6,7},{3,5}} => {{1,5,7},{2,6},{3,4}} => {{1,3,7},{2,6},{4,5}} => 7
{{1,3,4},{2,5,7},{6}} => {{1,3},{2,6,7},{4,5}} => {{1,5,7},{2,3,6},{4}} => {{1,3,7},{2,5,6},{4}} => 7
{{1,3,4},{2,5},{6,7}} => {{1,2},{3,6,7},{4,5}} => {{1,2,5,7},{3,6},{4}} => {{1,3,6,7},{2,5},{4}} => 7
{{1,3,4},{2,5},{6},{7}} => {{1},{2},{3,6,7},{4,5}} => {{1,5},{2,6,7},{3},{4}} => {{1,2,6},{3,7},{4},{5}} => 9
{{1,3,4,6,7},{2},{5}} => {{1,2,4},{3,5,7},{6}} => {{1,2,5,7},{3,4},{6}} => {{1,3,6,7},{2},{4,5}} => 3
{{1,3,4,6},{2,7},{5}} => {{1,6},{2,4,7},{3,5}} => {{1,5,7},{2,4},{3,6}} => {{1,3,7},{2,5},{4,6}} => 8
{{1,3,4,6},{2},{5,7}} => {{1,3,4},{2,5,7},{6}} => {{1,5,7},{2,3,4},{6}} => {{1,3,7},{2},{4,5,6}} => 3
{{1,3,4,6},{2},{5},{7}} => {{1},{2,4},{3,5,7},{6}} => {{1,5,7},{2,4},{3},{6}} => {{1,3,7},{2},{4,6},{5}} => 6
{{1,3,4,7},{2,6},{5}} => {{1,4,6},{2,7},{3,5}} => {{1,5,6},{2,7},{3,4}} => {{1,6},{2,3,7},{4,5}} => 6
{{1,3,4},{2,6,7},{5}} => {{1,2,6},{3,7},{4,5}} => {{1,2,5,6},{3,7},{4}} => {{1,5},{2,3,6,7},{4}} => 6
{{1,3,4},{2,6},{5,7}} => {{1,3,6},{2,7},{4,5}} => {{1,5,6},{2,3,7},{4}} => {{1,5,6},{2,3,7},{4}} => 6
{{1,3,4},{2,6},{5},{7}} => {{1},{2,6},{3,7},{4,5}} => {{1,5},{2,7},{3,6},{4}} => {{1,6},{2,5},{3,7},{4}} => 8
{{1,3,4,7},{2},{5,6}} => {{1,4},{2,3,5,7},{6}} => {{1,3,5},{2,4},{6,7}} => {{1,2},{3,5,7},{4,6}} => 4
{{1,3,4},{2,7},{5,6}} => {{1,6},{2,3,7},{4,5}} => {{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,5,7},{4}} => 9
{{1,3,4},{2},{5,6,7}} => {{1,2,3},{4,5,7},{6}} => {{1,2,3,5,7},{4},{6}} => {{1,3,5,6,7},{2},{4}} => 3
{{1,3,4},{2},{5,6},{7}} => {{1},{2,3},{4,5,7},{6}} => {{1,3},{2,5,7},{4},{6}} => {{1,3,6},{2},{4},{5,7}} => 6
{{1,3,4,7},{2},{5},{6}} => {{1,4},{2},{3,5,7},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1,3,7},{2},{4,5},{6}} => 5
{{1,3,4},{2,7},{5},{6}} => {{1,6},{2},{3,7},{4,5}} => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2,4},{3,7},{5}} => 7
{{1,3,4},{2},{5,7},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => {{1,3,7},{2},{4},{5,6}} => 5
{{1,3,4},{2},{5},{6,7}} => {{1,2},{3},{4,5,7},{6}} => {{1,2,5,7},{3},{4},{6}} => {{1,3,6,7},{2},{4},{5}} => 5
{{1,3,4},{2},{5},{6},{7}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,2},{3,7},{4},{5},{6}} => 3
{{1,3,5,6,7},{2,4}} => {{1,2,3,5,6,7},{4}} => {{1,2,3},{4,5,6,7}} => {{1,2,3,4},{5,6,7}} => 0
{{1,3,5,6},{2,4,7}} => {{1,4,5,6,7},{2,3}} => {{1,3},{2,4,5,6,7}} => {{1,2,3,4,6},{5,7}} => 5
{{1,3,5,6},{2,4},{7}} => {{1},{2,3,5,6,7},{4}} => {{1,3},{2},{4,5,6,7}} => {{1,2,3,4},{5,7},{6}} => 1
{{1,3,5,7},{2,4,6}} => {{1,3,4,5,6,7},{2}} => {{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}} => 0
{{1,3,5},{2,4,6,7}} => {{1,2,4,5,6,7},{3}} => {{1,2},{3,4,5,6,7}} => {{1,2,3,4,5},{6,7}} => 0
{{1,3,5},{2,4,6},{7}} => {{1},{2,4,5,6,7},{3}} => {{1},{2,4,5,6,7},{3}} => {{1,2,3,4,6},{5},{7}} => 4
{{1,3,5,7},{2,4},{6}} => {{1,3},{2,5,6,7},{4}} => {{1},{2,3,5},{4,6,7}} => {{1,2,4},{3,5,6},{7}} => 3
{{1,3,5},{2,4,7},{6}} => {{1,4},{2,5,6,7},{3}} => {{1},{2,5},{3,4,6,7}} => {{1,2,4,5},{3,6},{7}} => 3
{{1,3,5},{2,4},{6,7}} => {{1,2},{3,5,6,7},{4}} => {{1,2},{3,5},{4,6,7}} => {{1,2,4},{3,5},{6,7}} => 3
{{1,3,5},{2,4},{6},{7}} => {{1},{2},{3,5,6,7},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,2,3,6},{4},{5},{7}} => 6
{{1,3,6,7},{2,4,5}} => {{1,2,5,6,7},{3,4}} => {{1,2,4,5,6,7},{3}} => {{1,2,3,4,6,7},{5}} => 4
{{1,3,6},{2,4,5,7}} => {{1,3,5,6,7},{2,4}} => {{1,4,5,6,7},{2,3}} => {{1,2,3,4,7},{5,6}} => 4
{{1,3,6},{2,4,5},{7}} => {{1},{2,5,6,7},{3,4}} => {{1,4},{2,5,6,7},{3}} => {{1,2,3,6},{4,7},{5}} => 8
{{1,3,7},{2,4,5,6}} => {{1,5,6,7},{2,3,4}} => {{1,3,4,6,7},{2,5}} => {{1,2,4,5,7},{3,6}} => 7
{{1,3},{2,4,5,6,7}} => {{1,2,3,4,6,7},{5}} => {{1,2,3,4},{5,6,7}} => {{1,2,3},{4,5,6,7}} => 0
{{1,3},{2,4,5,6},{7}} => {{1},{2,3,4,6,7},{5}} => {{1,3,4},{2},{5,6,7}} => {{1,2,3},{4,5,7},{6}} => 2
{{1,3,7},{2,4,5},{6}} => {{1,5},{2,6,7},{3,4}} => {{1,4},{2,6},{3,5,7}} => {{1,3,5},{2,6},{4,7}} => 7
{{1,3},{2,4,5,7},{6}} => {{1,3},{2,4,6,7},{5}} => {{1,4,6,7},{2,3},{5}} => {{1,2,4,7},{3},{5,6}} => 5
{{1,3},{2,4,5},{6,7}} => {{1,2},{3,4,6,7},{5}} => {{1,2,4,6,7},{3},{5}} => {{1,2,4,6,7},{3},{5}} => 5
{{1,3},{2,4,5},{6},{7}} => {{1},{2},{3,4,6,7},{5}} => {{1,4},{2},{3},{5,6,7}} => {{1,2,3},{4,7},{5},{6}} => 2
{{1,3,6,7},{2,4},{5}} => {{1,2,5},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7}} => {{1,3,4},{2,5},{6,7}} => 2
{{1,3,6},{2,4,7},{5}} => {{1,4,5},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7}} => {{1,3,4,5},{2,6},{7}} => 2
{{1,3,6},{2,4},{5,7}} => {{1,3,5},{2,6,7},{4}} => {{1},{2,3,6},{4,5,7}} => {{1,3,4},{2,5,6},{7}} => 2
{{1,3,6},{2,4},{5},{7}} => {{1},{2,5},{3,6,7},{4}} => {{1},{2,6},{3,5,7},{4}} => {{1,3,5},{2,6},{4},{7}} => 5
{{1,3,7},{2,4,6},{5}} => {{1,5},{2,4,6,7},{3}} => {{1},{2,4,6,7},{3,5}} => {{1,2,4,6},{3,5},{7}} => 6
{{1,3},{2,4,6,7},{5}} => {{1,2,4},{3,6,7},{5}} => {{1,2},{3,4,6},{5,7}} => {{1,3},{2,4,5},{6,7}} => 2
{{1,3},{2,4,6},{5,7}} => {{1,3,4},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7}} => {{1,3},{2,4,5,6},{7}} => 2
{{1,3},{2,4,6},{5},{7}} => {{1},{2,4},{3,6,7},{5}} => {{1},{2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6},{7}} => 4
{{1,3,7},{2,4},{5,6}} => {{1,5},{2,3,6,7},{4}} => {{1,3,5},{2},{4,6,7}} => {{1,2,4},{3,5,7},{6}} => 5
{{1,3},{2,4,7},{5,6}} => {{1,4},{2,3,6,7},{5}} => {{1,3},{2,4,6,7},{5}} => {{1,2,4,6},{3},{5,7}} => 6
{{1,3},{2,4},{5,6,7}} => {{1,2,3},{4,6,7},{5}} => {{1,2,3},{4,6},{5,7}} => {{1,3},{2,4},{5,6,7}} => 2
{{1,3},{2,4},{5,6},{7}} => {{1},{2,3},{4,6,7},{5}} => {{1,3,6},{2},{4},{5,7}} => {{1,3},{2,5,7},{4},{6}} => 5
{{1,3,7},{2,4},{5},{6}} => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,4},{2,6},{5},{7}} => 3
{{1,3},{2,4,7},{5},{6}} => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3},{2,6},{4,5},{7}} => 3
{{1,3},{2,4},{5,7},{6}} => {{1,3},{2},{4,6,7},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3},{2,5,6},{4},{7}} => 3
{{1,3},{2,4},{5},{6,7}} => {{1,2},{3},{4,6,7},{5}} => {{1,2},{3,6},{4},{5,7}} => {{1,3},{2,5},{4},{6,7}} => 3
{{1,3},{2,4},{5},{6},{7}} => {{1},{2},{3},{4,6,7},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,2,6},{3},{4},{5},{7}} => 6
{{1,3,5,6,7},{2},{4}} => {{1,2,3,5},{4,7},{6}} => {{1,2,3},{4,5,7},{6}} => {{1,3,4},{2},{5,6,7}} => 1
{{1,3,5,6},{2,7},{4}} => {{1,6},{2,3,5,7},{4}} => {{1,3,6,7},{2},{4,5}} => {{1,2,5,7},{3,4},{6}} => 5
{{1,3,5,6},{2},{4,7}} => {{1,4,5},{2,3,7},{6}} => {{1,3},{2,4,5,7},{6}} => {{1,3,4,6},{2},{5,7}} => 5
{{1,3,5,6},{2},{4},{7}} => {{1},{2,3,5},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1,5,7},{2},{3,4},{6}} => 4
{{1,3,5,7},{2,6},{4}} => {{1,3,6},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7}} => {{1,4},{2,3,5,6},{7}} => 3
{{1,3,5},{2,6,7},{4}} => {{1,2,6},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7}} => {{1,4},{2,3,5},{6,7}} => 3
{{1,3,5},{2,6},{4,7}} => {{1,4,6},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7}} => {{1,4,5},{2,3,6},{7}} => 3
{{1,3,5},{2,6},{4},{7}} => {{1},{2,6},{3,5,7},{4}} => {{1},{2,5,7},{3,6},{4}} => {{1,3,6},{2,5},{4},{7}} => 7
{{1,3,5,7},{2},{4,6}} => {{1,3,4,5},{2,7},{6}} => {{1},{2,3,4,5,7},{6}} => {{1,3,4,5,6},{2},{7}} => 1
{{1,3,5},{2,7},{4,6}} => {{1,6},{2,4,5,7},{3}} => {{1},{2,4,5},{3,6,7}} => {{1,2,5},{3,4,6},{7}} => 4
{{1,3,5},{2},{4,6,7}} => {{1,2,4,5},{3,7},{6}} => {{1,2},{3,4,5,7},{6}} => {{1,3,4,5},{2},{6,7}} => 1
{{1,3,5},{2},{4,6},{7}} => {{1},{2,4,5},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5},{2},{3,4,6},{7}} => 4
{{1,3,5,7},{2},{4},{6}} => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => {{1,4},{2},{3,5,6},{7}} => 3
{{1,3,5},{2,7},{4},{6}} => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,7},{3},{4,6}} => {{1,3,6},{2,4},{5},{7}} => 6
{{1,3,5},{2},{4,7},{6}} => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,5},{2},{3,6},{7}} => 3
{{1,3,5},{2},{4},{6,7}} => {{1,2},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7},{6}} => {{1,4},{2},{3,5},{6,7}} => 3
{{1,3,5},{2},{4},{6},{7}} => {{1},{2},{3,5},{4,7},{6}} => {{1},{2,5},{3,7},{4},{6}} => {{1,5},{2},{3,6},{4},{7}} => 5
{{1,3,6,7},{2,5},{4}} => {{1,2,5,6},{3,7},{4}} => {{1,2},{3,7},{4,5,6}} => {{1,5},{2,3,4},{6,7}} => 1
{{1,3,6},{2,5,7},{4}} => {{1,3,5,6},{2,7},{4}} => {{1},{2,3,7},{4,5,6}} => {{1,5,6},{2,3,4},{7}} => 1
{{1,3,6},{2,5},{4,7}} => {{1,4,5,6},{2,7},{3}} => {{1},{2,7},{3,4,5,6}} => {{1,6},{2,3,4,5},{7}} => 1
{{1,3,6},{2,5},{4},{7}} => {{1},{2,5,6},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,6},{2,3,5},{4},{7}} => 4
{{1,3,7},{2,5,6},{4}} => {{1,5,6},{2,3,7},{4}} => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,3,5,7},{6}} => 6
{{1,3},{2,5,6,7},{4}} => {{1,2,3,6},{4,7},{5}} => {{1,2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6,7}} => 1
{{1,3},{2,5,6},{4,7}} => {{1,4,6},{2,3,7},{5}} => {{1,3},{2,4,7},{5,6}} => {{1,4,6},{2,3},{5,7}} => 4
{{1,3},{2,5,6},{4},{7}} => {{1},{2,3,6},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1,5,7},{2,3},{4},{6}} => 4
{{1,3,7},{2,5},{4,6}} => {{1,5,6},{2,4,7},{3}} => {{1},{2,4,7},{3,5,6}} => {{1,4,6},{2,3,5},{7}} => 5
{{1,3},{2,5,7},{4,6}} => {{1,3,4,6},{2,7},{5}} => {{1},{2,3,4,7},{5,6}} => {{1,4,5,6},{2,3},{7}} => 1
{{1,3},{2,5},{4,6,7}} => {{1,2,4,6},{3,7},{5}} => {{1,2},{3,4,7},{5,6}} => {{1,4,5},{2,3},{6,7}} => 1
{{1,3},{2,5},{4,6},{7}} => {{1},{2,4,6},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5},{2,3},{4,6},{7}} => 3
{{1,3,7},{2,5},{4},{6}} => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,6},{2,5},{3,4},{7}} => 3
{{1,3},{2,5,7},{4},{6}} => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,5,6},{2,4},{3},{7}} => 3
{{1,3},{2,5},{4,7},{6}} => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,6},{2,4,5},{3},{7}} => 3
{{1,3},{2,5},{4},{6,7}} => {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6,7}} => 3
{{1,3},{2,5},{4},{6},{7}} => {{1},{2},{3,6},{4,7},{5}} => {{1},{2,7},{3,6},{4},{5}} => {{1,6},{2,5},{3},{4},{7}} => 5
{{1,3,6,7},{2},{4,5}} => {{1,2,5},{3,4,7},{6}} => {{1,2,4,5,7},{3},{6}} => {{1,3,4,6,7},{2},{5}} => 4
{{1,3,6},{2,7},{4,5}} => {{1,6},{2,5,7},{3,4}} => {{1,4},{2,5,7},{3,6}} => {{1,3,6},{2,5},{4,7}} => 9
{{1,3,6},{2},{4,5,7}} => {{1,3,5},{2,4,7},{6}} => {{1,4,5,7},{2,3},{6}} => {{1,3,4,7},{2},{5,6}} => 4
{{1,3,6},{2},{4,5},{7}} => {{1},{2,5},{3,4,7},{6}} => {{1,4},{2,5,7},{3},{6}} => {{1,3,6},{2},{4,7},{5}} => 7
{{1,3,7},{2,6},{4,5}} => {{1,5,6},{2,7},{3,4}} => {{1,4},{2,7},{3,5,6}} => {{1,6},{2,3,5},{4,7}} => 6
{{1,3},{2,6,7},{4,5}} => {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3},{5,6}} => {{1,4,6,7},{2,3},{5}} => 3
{{1,3},{2,6},{4,5,7}} => {{1,3,6},{2,4,7},{5}} => {{1,4,7},{2,3},{5,6}} => {{1,4,7},{2,3},{5,6}} => 3
{{1,3},{2,6},{4,5},{7}} => {{1},{2,6},{3,4,7},{5}} => {{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}} => 5
{{1,3,7},{2},{4,5,6}} => {{1,5},{2,3,4,7},{6}} => {{1,3,4},{2,5},{6,7}} => {{1,2},{3,6},{4,5,7}} => 3
{{1,3},{2,7},{4,5,6}} => {{1,6},{2,3,4,7},{5}} => {{1,3,4,6,7},{2},{5}} => {{1,2,4,5,7},{3},{6}} => 6
{{1,3},{2},{4,5,6,7}} => {{1,2,3,4},{5,7},{6}} => {{1,2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6,7}} => 1
{{1,3},{2},{4,5,6},{7}} => {{1},{2,3,4},{5,7},{6}} => {{1,3,4,7},{2},{5},{6}} => {{1,4,5,7},{2},{3},{6}} => 5
{{1,3,7},{2},{4,5},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2},{3,5,7},{6}} => {{1,3,5},{2},{4,7},{6}} => 5
{{1,3},{2,7},{4,5},{6}} => {{1,6},{2},{3,4,7},{5}} => {{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4,7},{5},{6}} => 6
{{1,3},{2},{4,5,7},{6}} => {{1,3},{2,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => {{1,4,7},{2},{3},{5,6}} => 4
{{1,3},{2},{4,5},{6,7}} => {{1,2},{3,4},{5,7},{6}} => {{1,2,4,7},{3},{5},{6}} => {{1,4,6,7},{2},{3},{5}} => 4
{{1,3},{2},{4,5},{6},{7}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4},{2},{3,7},{5},{6}} => {{1,5},{2},{3},{4,7},{6}} => 5
{{1,3,6,7},{2},{4},{5}} => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => {{1,5},{2},{3,4},{6,7}} => 2
{{1,3,6},{2,7},{4},{5}} => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5},{4,6}} => {{1,6},{2,4},{3,5},{7}} => 4
{{1,3,6},{2},{4,7},{5}} => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => {{1,6},{2},{3,4,5},{7}} => 2
{{1,3,6},{2},{4},{5,7}} => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => {{1,5,6},{2},{3,4},{7}} => 2
{{1,3,6},{2},{4},{5},{7}} => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => {{1,6},{2},{3,5},{4},{7}} => 4
{{1,3,7},{2,6},{4},{5}} => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,6},{2,3,4},{5},{7}} => 2
{{1,3},{2,6,7},{4},{5}} => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,5},{2,3},{4},{6,7}} => 2
{{1,3},{2,6},{4,7},{5}} => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,6},{2,3},{4,5},{7}} => 2
{{1,3},{2,6},{4},{5,7}} => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,5,6},{2,3},{4},{7}} => 2
{{1,3},{2,6},{4},{5},{7}} => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,6},{2,4},{3},{5},{7}} => 4
{{1,3,7},{2},{4,6},{5}} => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,7},{3,5},{6}} => {{1,4,6},{2},{3,5},{7}} => 5
{{1,3},{2,7},{4,6},{5}} => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4,6},{3,7},{5}} => {{1,5},{2,4,6},{3},{7}} => 5
{{1,3},{2},{4,6,7},{5}} => {{1,2,4},{3},{5,7},{6}} => {{1,2},{3,4,7},{5},{6}} => {{1,4,5},{2},{3},{6,7}} => 2
{{1,3},{2},{4,6},{5,7}} => {{1,3,4},{2},{5,7},{6}} => {{1},{2,3,4,7},{5},{6}} => {{1,4,5,6},{2},{3},{7}} => 2
{{1,3},{2},{4,6},{5},{7}} => {{1},{2,4},{3},{5,7},{6}} => {{1},{2,4},{3,7},{5},{6}} => {{1,5},{2},{3},{4,6},{7}} => 4
{{1,3,7},{2},{4},{5,6}} => {{1,5},{2,3},{4,7},{6}} => {{1,3,5},{2},{4,7},{6}} => {{1,4},{2},{3,5,7},{6}} => 5
{{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} => {{1,5,7},{2,4},{3},{6}} => 5
{{1,3},{2},{4,7},{5,6}} => {{1,4},{2,3},{5,7},{6}} => {{1,3},{2,4,7},{5},{6}} => {{1,4,6},{2},{3},{5,7}} => 5
{{1,3},{2},{4},{5,6,7}} => {{1,2,3},{4},{5,7},{6}} => {{1,2,3},{4,7},{5},{6}} => {{1,4},{2},{3},{5,6,7}} => 2
{{1,3},{2},{4},{5,6},{7}} => {{1},{2,3},{4},{5,7},{6}} => {{1,3,7},{2},{4},{5},{6}} => {{1,5,7},{2},{3},{4},{6}} => 5
{{1,3,7},{2},{4},{5},{6}} => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,6},{2},{3,4},{5},{7}} => 3
{{1,3},{2,7},{4},{5},{6}} => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2,3},{4},{5},{7}} => 3
{{1,3},{2},{4,7},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => {{1,6},{2},{3},{4,5},{7}} => 3
{{1,3},{2},{4},{5,7},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1},{2,3,7},{4},{5},{6}} => {{1,5,6},{2},{3},{4},{7}} => 3
{{1,3},{2},{4},{5},{6,7}} => {{1,2},{3},{4},{5,7},{6}} => {{1,2},{3,7},{4},{5},{6}} => {{1,5},{2},{3},{4},{6,7}} => 3
{{1,3},{2},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,7},{6}} => {{1},{2,7},{3},{4},{5},{6}} => {{1,6},{2},{3},{4},{5},{7}} => 4
{{1,4,5,6,7},{2,3}} => {{1,2,3,4,7},{5,6}} => {{1,2,3,4,6,7},{5}} => {{1,2,4,5,6,7},{3}} => 2
{{1,4,5,6},{2,3,7}} => {{1,5,7},{2,3,4,6}} => {{1,3,4,7},{2,5,6}} => {{1,4,5,7},{2,3,6}} => 6
{{1,4,5,6},{2,3},{7}} => {{1},{2,3,4,7},{5,6}} => {{1,3,4},{2,6,7},{5}} => {{1,2,6},{3},{4,5,7}} => 6
{{1,4,5,7},{2,3,6}} => {{1,3,5,7},{2,4,6}} => {{1,4,5},{2,3,6,7}} => {{1,2,5,6},{3,4,7}} => 4
{{1,4,5},{2,3,6,7}} => {{1,2,5,7},{3,4,6}} => {{1,2,4,5},{3,6,7}} => {{1,2,5},{3,4,6,7}} => 4
{{1,4,5},{2,3,6},{7}} => {{1},{2,5,7},{3,4,6}} => {{1,4,6},{2,5,7},{3}} => {{1,3,6},{2,4,7},{5}} => 10
{{1,4,5,7},{2,3},{6}} => {{1,3},{2,4,7},{5,6}} => {{1,4},{2,3,6},{5,7}} => {{1,3},{2,5,6},{4,7}} => 4
{{1,4,5},{2,3,7},{6}} => {{1,5},{2,7},{3,4,6}} => {{1,4,6},{2,7},{3,5}} => {{1,6},{2,4,7},{3,5}} => 8
{{1,4,5},{2,3},{6,7}} => {{1,2},{3,4,7},{5,6}} => {{1,2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => 4
{{1,4,5},{2,3},{6},{7}} => {{1},{2},{3,4,7},{5,6}} => {{1,4},{2,6,7},{3},{5}} => {{1,2,6},{3},{4,7},{5}} => 8
{{1,4,6,7},{2,3,5}} => {{1,2,4,5,7},{3,6}} => {{1,2,6,7},{3,4,5}} => {{1,2,6,7},{3,4,5}} => 2
{{1,4,6},{2,3,5,7}} => {{1,3,4,5,7},{2,6}} => {{1,6,7},{2,3,4,5}} => {{1,2,7},{3,4,5,6}} => 2
{{1,4,6},{2,3,5},{7}} => {{1},{2,4,5,7},{3,6}} => {{1,6,7},{2,4,5},{3}} => {{1,2,7},{3,4,6},{5}} => 6
{{1,4,7},{2,3,5,6}} => {{1,4,5,7},{2,3,6}} => {{1,3,6,7},{2,4,5}} => {{1,2,5,7},{3,4,6}} => 7
{{1,4},{2,3,5,6,7}} => {{1,2,3,5,7},{4,6}} => {{1,2,3,6,7},{4,5}} => {{1,2,5,6,7},{3,4}} => 2
{{1,4},{2,3,5,6},{7}} => {{1},{2,3,5,7},{4,6}} => {{1,3},{2,6,7},{4,5}} => {{1,2,6},{3,4},{5,7}} => 5
{{1,4,7},{2,3,5},{6}} => {{1,4},{2,5,7},{3,6}} => {{1,6},{2,5,7},{3,4}} => {{1,3,6},{2,7},{4,5}} => 5
{{1,4},{2,3,5,7},{6}} => {{1,3},{2,5,7},{4,6}} => {{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2,7},{4}} => 5
{{1,4},{2,3,5},{6,7}} => {{1,2},{3,5,7},{4,6}} => {{1,2,6},{3,5,7},{4}} => {{1,3,5},{2,6,7},{4}} => 5
{{1,4},{2,3,5},{6},{7}} => {{1},{2},{3,5,7},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1,2,7},{3,6},{4},{5}} => 8
{{1,4,6,7},{2,3},{5}} => {{1,2,4},{3,7},{5,6}} => {{1,2,6},{3,4,7},{5}} => {{1,4,5},{2,6,7},{3}} => 4
{{1,4,6},{2,3,7},{5}} => {{1,5},{2,4,7},{3,6}} => {{1,6},{2,4},{3,5,7}} => {{1,3,5},{2,7},{4,6}} => 6
{{1,4,6},{2,3},{5,7}} => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,3,4,7},{5}} => {{1,4,5,6},{2,7},{3}} => 4
{{1,4,6},{2,3},{5},{7}} => {{1},{2,4},{3,7},{5,6}} => {{1,6},{2,4},{3,7},{5}} => {{1,5},{2,7},{3},{4,6}} => 7
{{1,4,7},{2,3,6},{5}} => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,7},{3,4,5}} => {{1,6},{2,7},{3,4,5}} => 4
{{1,4},{2,3,6,7},{5}} => {{1,2,5},{3,7},{4,6}} => {{1,2,6},{3,7},{4,5}} => {{1,5},{2,6,7},{3,4}} => 4
{{1,4},{2,3,6},{5,7}} => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,3,7},{4,5}} => {{1,5,6},{2,7},{3,4}} => 4
{{1,4},{2,3,6},{5},{7}} => {{1},{2,5},{3,7},{4,6}} => {{1,6},{2,7},{3,5},{4}} => {{1,6},{2,7},{3,5},{4}} => 7
{{1,4,7},{2,3},{5,6}} => {{1,4},{2,3,7},{5,6}} => {{1,3,6},{2,4},{5,7}} => {{1,3},{2,5,7},{4,6}} => 6
{{1,4},{2,3,7},{5,6}} => {{1,5},{2,3,7},{4,6}} => {{1,3,5,7},{2,6},{4}} => {{1,3,5,7},{2,6},{4}} => 8
{{1,4},{2,3},{5,6,7}} => {{1,2,3},{4,7},{5,6}} => {{1,2,3,6},{4,7},{5}} => {{1,4},{2,5,6,7},{3}} => 4
{{1,4},{2,3},{5,6},{7}} => {{1},{2,3},{4,7},{5,6}} => {{1,3,7},{2,6},{4},{5}} => {{1,5,7},{2,6},{3},{4}} => 8
{{1,4,7},{2,3},{5},{6}} => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2,7},{3,4},{5}} => {{1,6},{2,7},{3},{4,5}} => 6
{{1,4},{2,3,7},{5},{6}} => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2,7},{3},{4,5}} => {{1,6},{2,7},{3,4},{5}} => 6
{{1,4},{2,3},{5,7},{6}} => {{1,3},{2},{4,7},{5,6}} => {{1,6},{2,3,7},{4},{5}} => {{1,5,6},{2,7},{3},{4}} => 6
{{1,4},{2,3},{5},{6,7}} => {{1,2},{3},{4,7},{5,6}} => {{1,2,6},{3,7},{4},{5}} => {{1,5},{2,6,7},{3},{4}} => 6
{{1,4},{2,3},{5},{6},{7}} => {{1},{2},{3},{4,7},{5,6}} => {{1,6},{2,7},{3},{4},{5}} => {{1,6},{2,7},{3},{4},{5}} => 8
{{1,5,6,7},{2,3,4}} => {{1,2,3,7},{4,5,6}} => {{1,2,3,5},{4,6,7}} => {{1,2,4},{3,5,6,7}} => 3
{{1,5,6},{2,3,4,7}} => {{1,4,7},{2,3,5,6}} => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,3,5,7}} => 8
{{1,5,6},{2,3,4},{7}} => {{1},{2,3,7},{4,5,6}} => {{1,3},{2,5,7},{4,6}} => {{1,3,6},{2,4},{5,7}} => 7
{{1,5,7},{2,3,4,6}} => {{1,3,4,7},{2,5,6}} => {{1,5},{2,3,4,6,7}} => {{1,2,4,5,6},{3,7}} => 3
{{1,5},{2,3,4,6,7}} => {{1,2,4,7},{3,5,6}} => {{1,2,5},{3,4,6,7}} => {{1,2,4,5},{3,6,7}} => 3
{{1,5},{2,3,4,6},{7}} => {{1},{2,4,7},{3,5,6}} => {{1,5,7},{2,4,6},{3}} => {{1,3,7},{2,4,6},{5}} => 8
{{1,5,7},{2,3,4},{6}} => {{1,3},{2,7},{4,5,6}} => {{1,5},{2,3,7},{4,6}} => {{1,5,6},{2,4},{3,7}} => 5
{{1,5},{2,3,4,7},{6}} => {{1,4},{2,7},{3,5,6}} => {{1,5},{2,7},{3,4,6}} => {{1,6},{2,4,5},{3,7}} => 5
{{1,5},{2,3,4},{6,7}} => {{1,2},{3,7},{4,5,6}} => {{1,2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => 5
{{1,5},{2,3,4},{6},{7}} => {{1},{2},{3,7},{4,5,6}} => {{1,5,6},{2,7},{3},{4}} => {{1,6},{2,3,7},{4},{5}} => 9
{{1,6,7},{2,3,4,5}} => {{1,2,7},{3,4,5,6}} => {{1,2,4,7},{3,5,6}} => {{1,4,6,7},{2,3,5}} => 5
{{1,6},{2,3,4,5,7}} => {{1,3,7},{2,4,5,6}} => {{1,4,7},{2,3,5,6}} => {{1,4,7},{2,3,5,6}} => 5
{{1,6},{2,3,4,5},{7}} => {{1},{2,7},{3,4,5,6}} => {{1,4,5,6},{2,7},{3}} => {{1,6},{2,3,4,7},{5}} => 8
{{1,7},{2,3,4,5,6}} => {{1,7},{2,3,4,5,6}} => {{1,3,4,5,6},{2,7}} => {{1,6},{2,3,4,5,7}} => 5
{{1},{2,3,4,5,6,7}} => {{1,2,3,4,5,6},{7}} => {{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}} => {{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,7},{6}} => 4
{{1,7},{2,3,4,5},{6}} => {{1,7},{2},{3,4,5,6}} => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,3,4,7},{6}} => 7
{{1},{2,3,4,5,7},{6}} => {{1,3},{2,4,5,6},{7}} => {{1,4},{2,3,5,6},{7}} => {{1},{2,3,5,6},{4,7}} => 3
{{1},{2,3,4,5},{6,7}} => {{1,2},{3,4,5,6},{7}} => {{1,2,4},{3,5,6},{7}} => {{1},{2,3,5},{4,6,7}} => 3
{{1},{2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6},{7}} => {{1,4,5,6},{2},{3},{7}} => {{1},{2,3,4,7},{5},{6}} => 6
{{1,6,7},{2,3,4},{5}} => {{1,2,7},{3},{4,5,6}} => {{1,2,5,7},{3},{4,6}} => {{1,3,6,7},{2,4},{5}} => 6
{{1,6},{2,3,4,7},{5}} => {{1,4,7},{2},{3,5,6}} => {{1,5,7},{2},{3,4,6}} => {{1,3,7},{2,4,5},{6}} => 6
{{1,6},{2,3,4},{5,7}} => {{1,3,7},{2},{4,5,6}} => {{1,5,7},{2,3},{4,6}} => {{1,3,7},{2,4},{5,6}} => 6
{{1,6},{2,3,4},{5},{7}} => {{1},{2,7},{3},{4,5,6}} => {{1,5,6},{2},{3,7},{4}} => {{1,5},{2,3,7},{4},{6}} => 8
{{1,7},{2,3,4,6},{5}} => {{1,7},{2,4},{3,5,6}} => {{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}} => 7
{{1},{2,3,4,6,7},{5}} => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3,4,6},{7}} => {{1},{2,4,5},{3,6,7}} => 2
{{1},{2,3,4,6},{5,7}} => {{1,3,4},{2,5,6},{7}} => {{1,5},{2,3,4,6},{7}} => {{1},{2,4,5,6},{3,7}} => 2
{{1},{2,3,4,6},{5},{7}} => {{1},{2,4},{3,5,6},{7}} => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,6},{3,7},{5}} => 5
{{1,7},{2,3,4},{5,6}} => {{1,7},{2,3},{4,5,6}} => {{1,3,7},{2,5},{4,6}} => {{1,5,7},{2,4},{3,6}} => 7
{{1},{2,3,4,7},{5,6}} => {{1,4},{2,3,5,6},{7}} => {{1,3,5,6},{2,4},{7}} => {{1},{2,3,5,7},{4,6}} => 6
{{1},{2,3,4},{5,6,7}} => {{1,2,3},{4,5,6},{7}} => {{1,2,3,5},{4,6},{7}} => {{1},{2,4},{3,5,6,7}} => 2
{{1},{2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6},{7}} => {{1,3},{2,5},{4,6},{7}} => {{1},{2,4},{3,6},{5,7}} => 4
{{1,7},{2,3,4},{5},{6}} => {{1,7},{2},{3},{4,5,6}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,3,7},{5},{6}} => 7
{{1},{2,3,4,7},{5},{6}} => {{1,4},{2},{3,5,6},{7}} => {{1,5},{2},{3,4,6},{7}} => {{1},{2,4,5},{3,7},{6}} => 3
{{1},{2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6},{7}} => {{1,5},{2,3},{4,6},{7}} => {{1},{2,4},{3,7},{5,6}} => 3
{{1},{2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6},{7}} => {{1,2,5},{3},{4,6},{7}} => {{1},{2,4},{3,6,7},{5}} => 3
{{1},{2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,5,6},{2},{3},{4},{7}} => {{1},{2,3,7},{4},{5},{6}} => 6
{{1,5,6,7},{2,3},{4}} => {{1,2,3,7},{4},{5,6}} => {{1,2,3,6,7},{4},{5}} => {{1,2,5,6,7},{3},{4}} => 4
{{1,5,6},{2,3,7},{4}} => {{1,5,7},{2,3},{4,6}} => {{1,3,5},{2,6,7},{4}} => {{1,2,6},{3,5,7},{4}} => 7
{{1,5,6},{2,3},{4,7}} => {{1,4,7},{2,3},{5,6}} => {{1,3,6,7},{2,4},{5}} => {{1,2,5,7},{3},{4,6}} => 8
{{1,5,6},{2,3},{4},{7}} => {{1},{2,3,7},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => {{1,2,6},{3},{4},{5,7}} => 7
{{1,5,7},{2,3,6},{4}} => {{1,3,5,7},{2},{4,6}} => {{1,6,7},{2,3},{4,5}} => {{1,2,7},{3,4},{5,6}} => 4
{{1,5},{2,3,6,7},{4}} => {{1,2,5,7},{3},{4,6}} => {{1,2,6,7},{3},{4,5}} => {{1,2,6,7},{3,4},{5}} => 4
{{1,5},{2,3,6},{4,7}} => {{1,4,5,7},{2},{3,6}} => {{1,6,7},{2},{3,4,5}} => {{1,2,7},{3,4,5},{6}} => 4
{{1,5},{2,3,6},{4},{7}} => {{1},{2,5,7},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1,2,7},{3,5},{4},{6}} => 7
{{1,5,7},{2,3},{4,6}} => {{1,3,4,7},{2},{5,6}} => {{1,6,7},{2,3,4},{5}} => {{1,2,7},{3},{4,5,6}} => 4
{{1,5},{2,3,7},{4,6}} => {{1,5,7},{2,4},{3,6}} => {{1,6,7},{2,4},{3,5}} => {{1,2,7},{3,5},{4,6}} => 6
{{1,5},{2,3},{4,6,7}} => {{1,2,4,7},{3},{5,6}} => {{1,2,6,7},{3,4},{5}} => {{1,2,6,7},{3},{4,5}} => 4
{{1,5},{2,3},{4,6},{7}} => {{1},{2,4,7},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1,2,7},{3},{4,6},{5}} => 7
{{1,5,7},{2,3},{4},{6}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4,7},{5}} => {{1,4},{2,7},{3},{5,6}} => 5
{{1,5},{2,3,7},{4},{6}} => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,5},{2,7},{3,4},{6}} => 5
{{1,5},{2,3},{4,7},{6}} => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4,7},{5}} => {{1,4,5},{2,7},{3},{6}} => 5
{{1,5},{2,3},{4},{6,7}} => {{1,2},{3,7},{4},{5,6}} => {{1,2,6},{3},{4,7},{5}} => {{1,4},{2,6,7},{3},{5}} => 5
{{1,5},{2,3},{4},{6},{7}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6},{2},{3,7},{4},{5}} => {{1,5},{2,7},{3},{4},{6}} => 7
{{1,6,7},{2,3,5},{4}} => {{1,2,7},{3,5},{4,6}} => {{1,2,6,7},{3,5},{4}} => {{1,2,6,7},{3,5},{4}} => 5
{{1,6},{2,3,5,7},{4}} => {{1,3,7},{2,5},{4,6}} => {{1,6,7},{2,3,5},{4}} => {{1,2,7},{3,5,6},{4}} => 5
{{1,6},{2,3,5},{4,7}} => {{1,4,7},{2,5},{3,6}} => {{1,6,7},{2,5},{3,4}} => {{1,2,7},{3,6},{4,5}} => 5
{{1,6},{2,3,5},{4},{7}} => {{1},{2,7},{3,5},{4,6}} => {{1,6},{2,5},{3,7},{4}} => {{1,5},{2,7},{3,6},{4}} => 8
{{1,7},{2,3,5,6},{4}} => {{1,7},{2,3,5},{4,6}} => {{1,3,7},{2,6},{4,5}} => {{1,5,7},{2,6},{3,4}} => 6
{{1},{2,3,5,6,7},{4}} => {{1,2,3,5},{4,6},{7}} => {{1,2,3,6},{4,5},{7}} => {{1},{2,5,6,7},{3,4}} => 1
{{1},{2,3,5,6},{4,7}} => {{1,4,5},{2,3,6},{7}} => {{1,3,6},{2,4,5},{7}} => {{1},{2,5,7},{3,4,6}} => 5
{{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5},{4,6},{7}} => {{1,3},{2,6},{4,5},{7}} => {{1},{2,6},{3,4},{5,7}} => 3
{{1,7},{2,3,5},{4,6}} => {{1,7},{2,4,5},{3,6}} => {{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,4,6}} => 6
{{1},{2,3,5,7},{4,6}} => {{1,3,4,5},{2,6},{7}} => {{1,6},{2,3,4,5},{7}} => {{1},{2,7},{3,4,5,6}} => 1
{{1},{2,3,5},{4,6,7}} => {{1,2,4,5},{3,6},{7}} => {{1,2,6},{3,4,5},{7}} => {{1},{2,6,7},{3,4,5}} => 1
{{1},{2,3,5},{4,6},{7}} => {{1},{2,4,5},{3,6},{7}} => {{1,6},{2,4,5},{3},{7}} => {{1},{2,7},{3,4,6},{5}} => 4
{{1,7},{2,3,5},{4},{6}} => {{1,7},{2},{3,5},{4,6}} => {{1,6},{2,5},{3},{4,7}} => {{1,4},{2,7},{3,6},{5}} => 7
{{1},{2,3,5,7},{4},{6}} => {{1,3},{2,5},{4,6},{7}} => {{1,6},{2,3,5},{4},{7}} => {{1},{2,7},{3,5,6},{4}} => 3
{{1},{2,3,5},{4,7},{6}} => {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} => {{1},{2,7},{3,6},{4,5}} => 3
{{1},{2,3,5},{4},{6,7}} => {{1,2},{3,5},{4,6},{7}} => {{1,2,6},{3,5},{4},{7}} => {{1},{2,6,7},{3,5},{4}} => 3
{{1},{2,3,5},{4},{6},{7}} => {{1},{2},{3,5},{4,6},{7}} => {{1,6},{2,5},{3},{4},{7}} => {{1},{2,7},{3,6},{4},{5}} => 5
{{1,6,7},{2,3},{4,5}} => {{1,2,7},{3,4},{5,6}} => {{1,2,4},{3,6,7},{5}} => {{1,2,5},{3},{4,6,7}} => 5
{{1,6},{2,3,7},{4,5}} => {{1,5,7},{2},{3,4,6}} => {{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,7},{6}} => 8
{{1,6},{2,3},{4,5,7}} => {{1,3,7},{2,4},{5,6}} => {{1,4},{2,3,6,7},{5}} => {{1,2,5,6},{3},{4,7}} => 5
{{1,6},{2,3},{4,5},{7}} => {{1},{2,7},{3,4},{5,6}} => {{1,4},{2,6},{3,7},{5}} => {{1,5},{2,6},{3},{4,7}} => 8
{{1,7},{2,3,6},{4,5}} => {{1,7},{2,5},{3,4,6}} => {{1,4,6},{2,5},{3,7}} => {{1,5},{2,4,7},{3,6}} => 9
{{1},{2,3,6,7},{4,5}} => {{1,2,5},{3,4,6},{7}} => {{1,2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6,7}} => 3
{{1},{2,3,6},{4,5,7}} => {{1,3,5},{2,4,6},{7}} => {{1,4,5},{2,3,6},{7}} => {{1},{2,5,6},{3,4,7}} => 3
{{1},{2,3,6},{4,5},{7}} => {{1},{2,5},{3,4,6},{7}} => {{1,4,6},{2,5},{3},{7}} => {{1},{2,4,7},{3,6},{5}} => 7
{{1,7},{2,3},{4,5,6}} => {{1,7},{2,3,4},{5,6}} => {{1,3,4,7},{2,6},{5}} => {{1,4,5,7},{2,6},{3}} => 7
{{1},{2,3,7},{4,5,6}} => {{1,5},{2,3,4,6},{7}} => {{1,3,4},{2,5,6},{7}} => {{1},{2,3,6},{4,5,7}} => 4
{{1},{2,3},{4,5,6,7}} => {{1,2,3,4},{5,6},{7}} => {{1,2,3,4,6},{5},{7}} => {{1},{2,4,5,6,7},{3}} => 1
{{1},{2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6},{7}} => {{1,3,4},{2,6},{5},{7}} => {{1},{2,6},{3},{4,5,7}} => 4
{{1,7},{2,3},{4,5},{6}} => {{1,7},{2},{3,4},{5,6}} => {{1,4,7},{2,6},{3},{5}} => {{1,4,7},{2,6},{3},{5}} => 9
{{1},{2,3,7},{4,5},{6}} => {{1,5},{2},{3,4,6},{7}} => {{1,4,6},{2},{3,5},{7}} => {{1},{2,4,7},{3,5},{6}} => 6
{{1},{2,3},{4,5,7},{6}} => {{1,3},{2,4},{5,6},{7}} => {{1,4},{2,3,6},{5},{7}} => {{1},{2,5,6},{3},{4,7}} => 3
{{1},{2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6},{7}} => {{1,2,4},{3,6},{5},{7}} => {{1},{2,5},{3},{4,6,7}} => 3
{{1},{2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,4},{2,6},{3},{5},{7}} => {{1},{2,6},{3},{4,7},{5}} => 5
{{1,6,7},{2,3},{4},{5}} => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => {{1,2,6,7},{3},{4},{5}} => 6
{{1,6},{2,3,7},{4},{5}} => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => {{1,2,7},{3,4},{5},{6}} => 6
{{1,6},{2,3},{4,7},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => {{1,2,7},{3},{4,5},{6}} => 6
{{1,6},{2,3},{4},{5,7}} => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1,2,7},{3},{4},{5,6}} => 6
{{1,6},{2,3},{4},{5},{7}} => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4,7},{5}} => {{1,4},{2,7},{3},{5},{6}} => 6
{{1,7},{2,3,6},{4},{5}} => {{1,7},{2,5},{3},{4,6}} => {{1,6},{2},{3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}} => 6
{{1},{2,3,6,7},{4},{5}} => {{1,2,5},{3},{4,6},{7}} => {{1,2,6},{3},{4,5},{7}} => {{1},{2,6,7},{3,4},{5}} => 2
{{1},{2,3,6},{4,7},{5}} => {{1,4,5},{2},{3,6},{7}} => {{1,6},{2},{3,4,5},{7}} => {{1},{2,7},{3,4,5},{6}} => 2
{{1},{2,3,6},{4},{5,7}} => {{1,3,5},{2},{4,6},{7}} => {{1,6},{2,3},{4,5},{7}} => {{1},{2,7},{3,4},{5,6}} => 2
{{1},{2,3,6},{4},{5},{7}} => {{1},{2,5},{3},{4,6},{7}} => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,7},{3,5},{4},{6}} => 4
{{1,7},{2,3},{4,6},{5}} => {{1,7},{2,4},{3},{5,6}} => {{1,6},{2,4,7},{3},{5}} => {{1,4,6},{2,7},{3},{5}} => 7
{{1},{2,3,7},{4,6},{5}} => {{1,5},{2,4},{3,6},{7}} => {{1,6},{2,4},{3,5},{7}} => {{1},{2,7},{3,5},{4,6}} => 4
{{1},{2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6},{7}} => {{1,2,6},{3,4},{5},{7}} => {{1},{2,6,7},{3},{4,5}} => 2
{{1},{2,3},{4,6},{5,7}} => {{1,3,4},{2},{5,6},{7}} => {{1,6},{2,3,4},{5},{7}} => {{1},{2,7},{3},{4,5,6}} => 2
{{1},{2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,7},{3},{4,6},{5}} => 4
{{1,7},{2,3},{4},{5,6}} => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6},{4,7},{5}} => {{1,4},{2,6},{3},{5,7}} => 6
{{1},{2,3,7},{4},{5,6}} => {{1,5},{2,3},{4,6},{7}} => {{1,3,5},{2,6},{4},{7}} => {{1},{2,6},{3,5,7},{4}} => 5
{{1},{2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6},{7}} => {{1,3,6},{2,4},{5},{7}} => {{1},{2,5,7},{3},{4,6}} => 5
{{1},{2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6},{7}} => {{1,2,3,6},{4},{5},{7}} => {{1},{2,5,6,7},{3},{4}} => 2
{{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,6},{3},{4},{5,7}} => 4
{{1,7},{2,3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,7},{4},{5},{6}} => 5
{{1},{2,3,7},{4},{5},{6}} => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => {{1},{2,7},{3,4},{5},{6}} => 3
{{1},{2,3},{4,7},{5},{6}} => {{1,4},{2},{3},{5,6},{7}} => {{1,6},{2},{3,4},{5},{7}} => {{1},{2,7},{3},{4,5},{6}} => 3
{{1},{2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6},{7}} => {{1,6},{2,3},{4},{5},{7}} => {{1},{2,7},{3},{4},{5,6}} => 3
{{1},{2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => {{1},{2,6,7},{3},{4},{5}} => 3
{{1},{2,3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2,7},{3},{4},{5},{6}} => 4
{{1,4,5,6,7},{2},{3}} => {{1,2,3,4,7},{5},{6}} => {{1,2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6,7}} => 0
{{1,4,5,6},{2,7},{3}} => {{1,6,7},{2,3,4},{5}} => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4,5,7},{6}} => 5
{{1,4,5,6},{2},{3,7}} => {{1,5,7},{2,3,4},{6}} => {{1,3,4},{2,5,7},{6}} => {{1,3,6},{2},{4,5,7}} => 5
{{1,4,5,6},{2},{3},{7}} => {{1},{2,3,4,7},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,2},{3},{4,5,7},{6}} => 2
{{1,4,5,7},{2,6},{3}} => {{1,3,6,7},{2,4},{5}} => {{1,4},{2,3},{5,6,7}} => {{1,2,3},{4,7},{5,6}} => 1
{{1,4,5},{2,6,7},{3}} => {{1,2,6,7},{3,4},{5}} => {{1,2,4},{3},{5,6,7}} => {{1,2,3},{4,6,7},{5}} => 1
{{1,4,5},{2,6},{3,7}} => {{1,5,6,7},{2},{3,4}} => {{1,4},{2},{3,5,6,7}} => {{1,2,3,5},{4,7},{6}} => 5
{{1,4,5},{2,6},{3},{7}} => {{1},{2,6,7},{3,4},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,2,5},{3},{4,7},{6}} => 6
{{1,4,5,7},{2},{3,6}} => {{1,3,5,7},{2,4},{6}} => {{1,4,5},{2,3},{6,7}} => {{1,2},{3,4,7},{5,6}} => 2
{{1,4,5},{2,7},{3,6}} => {{1,6,7},{2,5},{3,4}} => {{1,4},{2,5},{3,6,7}} => {{1,2,5},{3,6},{4,7}} => 8
{{1,4,5},{2},{3,6,7}} => {{1,2,5,7},{3,4},{6}} => {{1,2,4,5},{3},{6,7}} => {{1,2},{3,4,6,7},{5}} => 2
{{1,4,5},{2},{3,6},{7}} => {{1},{2,5,7},{3,4},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,2},{3,6},{4,7},{5}} => 4
{{1,4,5,7},{2},{3},{6}} => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => {{1,3},{2},{4,7},{5,6}} => 2
{{1,4,5},{2,7},{3},{6}} => {{1,6},{2,7},{3,4},{5}} => {{1,4,6},{2},{3,7},{5}} => {{1,5},{2,4,7},{3},{6}} => 7
{{1,4,5},{2},{3,7},{6}} => {{1,5},{2,7},{3,4},{6}} => {{1,4,7},{2},{3,5},{6}} => {{1,4,7},{2},{3,5},{6}} => 7
{{1,4,5},{2},{3},{6,7}} => {{1,2},{3,4,7},{5},{6}} => {{1,2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6,7},{5}} => 2
{{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,7},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,2},{3},{4,7},{5},{6}} => 2
{{1,4,6,7},{2,5},{3}} => {{1,2,4,6,7},{3},{5}} => {{1,2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6,7}} => 0
{{1,4,6},{2,5,7},{3}} => {{1,3,4,6,7},{2},{5}} => {{1},{2,3,4},{5,6,7}} => {{1,2,3},{4,5,6},{7}} => 0
{{1,4,6},{2,5},{3,7}} => {{1,5,6,7},{2,4},{3}} => {{1},{2,4},{3,5,6,7}} => {{1,2,3,5},{4,6},{7}} => 4
{{1,4,6},{2,5},{3},{7}} => {{1},{2,4,6,7},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,2,3},{4,6},{5},{7}} => 1
{{1,4,7},{2,5,6},{3}} => {{1,4,6,7},{2,3},{5}} => {{1,3},{2,4},{5,6,7}} => {{1,2,3},{4,6},{5,7}} => 2
{{1,4},{2,5,6,7},{3}} => {{1,2,3,6,7},{4},{5}} => {{1,2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6,7}} => 0
{{1,4},{2,5,6},{3,7}} => {{1,5,6,7},{2,3},{4}} => {{1,3,5,6,7},{2},{4}} => {{1,2,3,5,7},{4},{6}} => 7
{{1,4},{2,5,6},{3},{7}} => {{1},{2,3,6,7},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => {{1,2,3},{4},{5,7},{6}} => 1
{{1,4,7},{2,5},{3,6}} => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3,4,5,6,7}} => {{1,2,3,4,5},{6},{7}} => 0
{{1,4},{2,5,7},{3,6}} => {{1,3,5,6,7},{2},{4}} => {{1},{2,3},{4,5,6,7}} => {{1,2,3,4},{5,6},{7}} => 0
{{1,4},{2,5},{3,6,7}} => {{1,2,5,6,7},{3},{4}} => {{1,2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6,7}} => 0
{{1,4},{2,5},{3,6},{7}} => {{1},{2,5,6,7},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6},{7}} => 3
{{1,4,7},{2,5},{3},{6}} => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 2
{{1,4},{2,5,7},{3},{6}} => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 2
{{1,4},{2,5},{3,7},{6}} => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,4},{2,5},{6},{7}} => 2
{{1,4},{2,5},{3},{6,7}} => {{1,2},{3,6,7},{4},{5}} => {{1,2},{3},{4,6},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 2
{{1,4},{2,5},{3},{6},{7}} => {{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,2,5},{3},{4},{6},{7}} => 4
{{1,4,6,7},{2},{3,5}} => {{1,2,4,5,7},{3},{6}} => {{1,2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6,7}} => 0
{{1,4,6},{2,7},{3,5}} => {{1,6,7},{2,4,5},{3}} => {{1},{2,4,5,7},{3,6}} => {{1,3,4,6},{2,5},{7}} => 5
{{1,4,6},{2},{3,5,7}} => {{1,3,4,5,7},{2},{6}} => {{1},{2,3,4,5},{6,7}} => {{1,2},{3,4,5,6},{7}} => 0
{{1,4,6},{2},{3,5},{7}} => {{1},{2,4,5,7},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,2},{3,4,6},{5},{7}} => 2
{{1,4,7},{2,6},{3,5}} => {{1,4,6,7},{2,5},{3}} => {{1},{2,5,6,7},{3,4}} => {{1,2,3,6},{4,5},{7}} => 3
{{1,4},{2,6,7},{3,5}} => {{1,2,6,7},{3,5},{4}} => {{1,2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6,7}} => 3
{{1,4},{2,6},{3,5,7}} => {{1,3,6,7},{2,5},{4}} => {{1},{2,3,5,6,7},{4}} => {{1,2,3,5,6},{4},{7}} => 3
{{1,4},{2,6},{3,5},{7}} => {{1},{2,6,7},{3,5},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,2,5},{3,6},{4},{7}} => 6
{{1,4,7},{2},{3,5,6}} => {{1,4,5,7},{2,3},{6}} => {{1,3},{2,4,5},{6,7}} => {{1,2},{3,4,6},{5,7}} => 3
{{1,4},{2,7},{3,5,6}} => {{1,6,7},{2,3,5},{4}} => {{1,3,6},{2},{4,5,7}} => {{1,3,4},{2,5,7},{6}} => 4
{{1,4},{2},{3,5,6,7}} => {{1,2,3,5,7},{4},{6}} => {{1,2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6,7}} => 0
{{1,4},{2},{3,5,6},{7}} => {{1},{2,3,5,7},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,2},{3,4},{5,7},{6}} => 1
{{1,4,7},{2},{3,5},{6}} => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,3,6},{2},{4,5},{7}} => 3
{{1,4},{2,7},{3,5},{6}} => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6},{7}} => 5
{{1,4},{2},{3,5,7},{6}} => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => {{1,3,5,6},{2},{4},{7}} => 3
{{1,4},{2},{3,5},{6,7}} => {{1,2},{3,5,7},{4},{6}} => {{1,2},{3,5,7},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => 3
{{1,4},{2},{3,5},{6},{7}} => {{1},{2},{3,5,7},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,2},{3,6},{4},{5},{7}} => 2
{{1,4,6,7},{2},{3},{5}} => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6,7}} => 1
{{1,4,6},{2,7},{3},{5}} => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,6},{3},{5,7}} => {{1,3},{2,4,6},{5},{7}} => 4
{{1,4,6},{2},{3,7},{5}} => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4},{3,5,7},{6}} => {{1,3,5},{2},{4,6},{7}} => 4
{{1,4,6},{2},{3},{5,7}} => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => {{1,3},{2},{4,5,6},{7}} => 1
{{1,4,6},{2},{3},{5},{7}} => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => {{1,4,6},{2},{3},{5},{7}} => 4
{{1,4,7},{2,6},{3},{5}} => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,4,5},{2,3},{6},{7}} => 1
{{1,4},{2,6,7},{3},{5}} => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6,7}} => 1
{{1,4},{2,6},{3,7},{5}} => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,5},{2,3,4},{6},{7}} => 1
{{1,4},{2,6},{3},{5,7}} => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,4},{2,3},{5,6},{7}} => 1
{{1,4},{2,6},{3},{5},{7}} => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6},{7}} => 3
{{1,4,7},{2},{3,6},{5}} => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,3,4,5},{2},{6},{7}} => 1
{{1,4},{2,7},{3,6},{5}} => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,7},{4,6}} => {{1,3,5},{2,4},{6},{7}} => 4
{{1,4},{2},{3,6,7},{5}} => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,3,4},{2},{5},{6,7}} => 1
{{1,4},{2},{3,6},{5,7}} => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,3,4},{2},{5,6},{7}} => 1
{{1,4},{2},{3,6},{5},{7}} => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4},{2},{3,5},{6},{7}} => 3
{{1,4,7},{2},{3},{5,6}} => {{1,4},{2,3,7},{5},{6}} => {{1,3},{2,4},{5,7},{6}} => {{1,3},{2},{4,6},{5,7}} => 3
{{1,4},{2,7},{3},{5,6}} => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,6},{5,7}} => {{1,3},{2,4},{5,7},{6}} => 3
{{1,4},{2},{3,7},{5,6}} => {{1,5},{2,3,7},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => 6
{{1,4},{2},{3},{5,6,7}} => {{1,2,3},{4,7},{5},{6}} => {{1,2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6,7}} => 1
{{1,4},{2},{3},{5,6},{7}} => {{1},{2,3},{4,7},{5},{6}} => {{1,3},{2},{4,7},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => 3
{{1,4,7},{2},{3},{5},{6}} => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,4,5},{2},{3},{6},{7}} => 2
{{1,4},{2,7},{3},{5},{6}} => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,5},{2,3},{4},{6},{7}} => 2
{{1,4},{2},{3,7},{5},{6}} => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3,4},{6},{7}} => 2
{{1,4},{2},{3},{5,7},{6}} => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => {{1,4},{2},{3},{5,6},{7}} => 2
{{1,4},{2},{3},{5},{6,7}} => {{1,2},{3},{4,7},{5},{6}} => {{1,2},{3},{4,7},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => 2
{{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} => {{1,5},{2},{3},{4},{6},{7}} => 3
{{1,5,6,7},{2,4},{3}} => {{1,2,3,7},{4,6},{5}} => {{1,2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6,7}} => 2
{{1,5,6},{2,4,7},{3}} => {{1,4,7},{2,3,6},{5}} => {{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}} => 5
{{1,5,6},{2,4},{3,7}} => {{1,5,7},{2,3,6},{4}} => {{1,3,5,7},{2},{4,6}} => {{1,3,5,7},{2,4},{6}} => 7
{{1,5,6},{2,4},{3},{7}} => {{1},{2,3,7},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1,2,5,7},{3},{4},{6}} => 7
{{1,5,7},{2,4,6},{3}} => {{1,3,4,7},{2,6},{5}} => {{1},{2,3,4,6,7},{5}} => {{1,2,4,5,6},{3},{7}} => 2
{{1,5},{2,4,6,7},{3}} => {{1,2,4,7},{3,6},{5}} => {{1,2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6,7}} => 2
{{1,5},{2,4,6},{3,7}} => {{1,5,7},{2,4,6},{3}} => {{1},{2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 6
{{1,5},{2,4,6},{3},{7}} => {{1},{2,4,7},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,2,5},{3},{4,6},{7}} => 5
{{1,5,7},{2,4},{3,6}} => {{1,3,5,7},{2,6},{4}} => {{1},{2,3,6,7},{4,5}} => {{1,2,5,6},{3,4},{7}} => 2
{{1,5},{2,4,7},{3,6}} => {{1,4,5,7},{2,6},{3}} => {{1},{2,6,7},{3,4,5}} => {{1,2,6},{3,4,5},{7}} => 2
{{1,5},{2,4},{3,6,7}} => {{1,2,5,7},{3,6},{4}} => {{1,2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6,7}} => 2
{{1,5},{2,4},{3,6},{7}} => {{1},{2,5,7},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,2,6},{3,5},{4},{7}} => 5
{{1,5,7},{2,4},{3},{6}} => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4,7},{5}} => {{1,4},{2,5,6},{3},{7}} => 4
{{1,5},{2,4,7},{3},{6}} => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4,7},{5}} => {{1,4,5},{2,6},{3},{7}} => 4
{{1,5},{2,4},{3,7},{6}} => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,5},{2,6},{3,4},{7}} => 4
{{1,5},{2,4},{3},{6,7}} => {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4,7},{5}} => {{1,4},{2,5},{3},{6,7}} => 4
{{1,5},{2,4},{3},{6},{7}} => {{1},{2},{3,7},{4,6},{5}} => {{1},{2,6},{3,7},{4},{5}} => {{1,5},{2,6},{3},{4},{7}} => 6
{{1,6,7},{2,4,5},{3}} => {{1,2,7},{3,4,6},{5}} => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4,6,7},{5}} => 4
{{1,6},{2,4,5,7},{3}} => {{1,3,7},{2,4,6},{5}} => {{1,4,6},{2,3},{5,7}} => {{1,3},{2,4,7},{5,6}} => 4
{{1,6},{2,4,5},{3,7}} => {{1,5,7},{2,6},{3,4}} => {{1,4},{2,6,7},{3,5}} => {{1,2,6},{3,5},{4,7}} => 7
{{1,6},{2,4,5},{3},{7}} => {{1},{2,7},{3,4,6},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,3},{4,7},{6}} => 4
{{1,7},{2,4,5,6},{3}} => {{1,7},{2,3,4,6},{5}} => {{1,3,4,7},{2},{5,6}} => {{1,4,5,7},{2,3},{6}} => 4
{{1},{2,4,5,6,7},{3}} => {{1,2,3,4,6},{5},{7}} => {{1,2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6,7}} => 0
{{1},{2,4,5,6},{3,7}} => {{1,5,6},{2,3,4},{7}} => {{1,3,4,6},{2,5},{7}} => {{1},{2,4,5,7},{3,6}} => 5
{{1},{2,4,5,6},{3},{7}} => {{1},{2,3,4,6},{5},{7}} => {{1,3,4},{2},{5,6},{7}} => {{1},{2,3},{4,5,7},{6}} => 2
{{1,7},{2,4,5},{3,6}} => {{1,7},{2,5,6},{3,4}} => {{1,4},{2,5,6},{3,7}} => {{1,5},{2,3,6},{4,7}} => 8
{{1},{2,4,5,7},{3,6}} => {{1,3,5,6},{2,4},{7}} => {{1,4,5,6},{2,3},{7}} => {{1},{2,3,4,7},{5,6}} => 3
{{1},{2,4,5},{3,6,7}} => {{1,2,5,6},{3,4},{7}} => {{1,2,4,5,6},{3},{7}} => {{1},{2,3,4,6,7},{5}} => 3
{{1},{2,4,5},{3,6},{7}} => {{1},{2,5,6},{3,4},{7}} => {{1,4},{2,5,6},{3},{7}} => {{1},{2,3,6},{4,7},{5}} => 6
{{1,7},{2,4,5},{3},{6}} => {{1,7},{2},{3,4,6},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1,4,7},{2,3},{5},{6}} => 5
{{1},{2,4,5,7},{3},{6}} => {{1,3},{2,4,6},{5},{7}} => {{1,4,6},{2,3},{5},{7}} => {{1},{2,4,7},{3},{5,6}} => 3
{{1},{2,4,5},{3,7},{6}} => {{1,5},{2,6},{3,4},{7}} => {{1,4},{2,6},{3,5},{7}} => {{1},{2,6},{3,5},{4,7}} => 5
{{1},{2,4,5},{3},{6,7}} => {{1,2},{3,4,6},{5},{7}} => {{1,2,4,6},{3},{5},{7}} => {{1},{2,4,6,7},{3},{5}} => 3
{{1},{2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => {{1},{2,3},{4,7},{5},{6}} => 2
{{1,6,7},{2,4},{3,5}} => {{1,2,7},{3,5,6},{4}} => {{1,2},{3,5,7},{4,6}} => {{1,3,5},{2,4},{6,7}} => 4
{{1,6},{2,4,7},{3,5}} => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,7},{3,4,6}} => {{1,3,6},{2,4,5},{7}} => 4
{{1,6},{2,4},{3,5,7}} => {{1,3,7},{2,5,6},{4}} => {{1},{2,3,5,7},{4,6}} => {{1,3,5,6},{2,4},{7}} => 4
{{1,6},{2,4},{3,5},{7}} => {{1},{2,7},{3,5,6},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,5},{2,3,6},{4},{7}} => 6
{{1,7},{2,4,6},{3,5}} => {{1,7},{2,4,5,6},{3}} => {{1},{2,4,5,6},{3,7}} => {{1,5},{2,3,4,6},{7}} => 4
{{1},{2,4,6,7},{3,5}} => {{1,2,4,5,6},{3},{7}} => {{1,2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6,7}} => 0
{{1},{2,4,6},{3,5,7}} => {{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}} => 0
{{1},{2,4,6},{3,5},{7}} => {{1},{2,4,5,6},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => {{1},{2,3,4,6},{5},{7}} => 3
{{1,7},{2,4},{3,5,6}} => {{1,7},{2,3,5,6},{4}} => {{1,3,7},{2},{4,5,6}} => {{1,5,7},{2,3,4},{6}} => 3
{{1},{2,4,7},{3,5,6}} => {{1,4,5,6},{2,3},{7}} => {{1,3},{2,4,5,6},{7}} => {{1},{2,3,4,6},{5,7}} => 4
{{1},{2,4},{3,5,6,7}} => {{1,2,3,5,6},{4},{7}} => {{1,2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6,7}} => 0
{{1},{2,4},{3,5,6},{7}} => {{1},{2,3,5,6},{4},{7}} => {{1,3},{2},{4,5,6},{7}} => {{1},{2,3,4},{5,7},{6}} => 1
{{1,7},{2,4},{3,5},{6}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4},{2,3,6},{5},{7}} => 5
{{1},{2,4,7},{3,5},{6}} => {{1,4},{2,5,6},{3},{7}} => {{1},{2,5},{3,4,6},{7}} => {{1},{2,4,5},{3,6},{7}} => 2
{{1},{2,4},{3,5,7},{6}} => {{1,3},{2,5,6},{4},{7}} => {{1},{2,3,5},{4,6},{7}} => {{1},{2,4},{3,5,6},{7}} => 2
{{1},{2,4},{3,5},{6,7}} => {{1,2},{3,5,6},{4},{7}} => {{1,2},{3,5},{4,6},{7}} => {{1},{2,4},{3,5},{6,7}} => 2
{{1},{2,4},{3,5},{6},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1},{2,3,6},{4},{5},{7}} => 4
{{1,6,7},{2,4},{3},{5}} => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,2,5},{3},{4},{6,7}} => 4
{{1,6},{2,4,7},{3},{5}} => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,2,6},{3},{4,5},{7}} => 4
{{1,6},{2,4},{3,7},{5}} => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,2,6},{3,4},{5},{7}} => 4
{{1,6},{2,4},{3},{5,7}} => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,2,5,6},{3},{4},{7}} => 4
{{1,6},{2,4},{3},{5},{7}} => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} => {{1,4},{2,6},{3},{5},{7}} => 5
{{1,7},{2,4,6},{3},{5}} => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4,7},{3,6},{5}} => {{1,4,6},{2,5},{3},{7}} => 6
{{1},{2,4,6,7},{3},{5}} => {{1,2,4},{3,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => {{1},{2,4,5},{3},{6,7}} => 1
{{1},{2,4,6},{3,7},{5}} => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,6},{3,5},{7}} => {{1},{2,4,6},{3,5},{7}} => 4
{{1},{2,4,6},{3},{5,7}} => {{1,3,4},{2,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}} => {{1},{2,4,5,6},{3},{7}} => 1
{{1},{2,4,6},{3},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,5},{3},{4,6},{7}} => 3
{{1,7},{2,4},{3,6},{5}} => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4,7}} => {{1,4},{2,6},{3,5},{7}} => 5
{{1},{2,4,7},{3,6},{5}} => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7}} => {{1},{2,6},{3,4,5},{7}} => 1
{{1},{2,4},{3,6,7},{5}} => {{1,2,5},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6,7}} => 1
{{1},{2,4},{3,6},{5,7}} => {{1,3,5},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7}} => {{1},{2,5,6},{3,4},{7}} => 1
{{1},{2,4},{3,6},{5},{7}} => {{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => 3
{{1,7},{2,4},{3},{5,6}} => {{1,7},{2,3},{4,6},{5}} => {{1,3,6},{2},{4,7},{5}} => {{1,4},{2,5,7},{3},{6}} => 6
{{1},{2,4,7},{3},{5,6}} => {{1,4},{2,3,6},{5},{7}} => {{1,3},{2,4,6},{5},{7}} => {{1},{2,4,6},{3},{5,7}} => 4
{{1},{2,4},{3,7},{5,6}} => {{1,5},{2,3,6},{4},{7}} => {{1,3,5},{2},{4,6},{7}} => {{1},{2,4},{3,5,7},{6}} => 4
{{1},{2,4},{3},{5,6,7}} => {{1,2,3},{4,6},{5},{7}} => {{1,2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6,7}} => 1
{{1},{2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,5,7},{3},{4},{6}} => 4
{{1,7},{2,4},{3},{5},{6}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3},{2,6},{4},{5},{7}} => 4
{{1},{2,4,7},{3},{5},{6}} => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1},{2,6},{3},{4,5},{7}} => 2
{{1},{2,4},{3,7},{5},{6}} => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1},{2,6},{3,4},{5},{7}} => 2
{{1},{2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6},{5},{7}} => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,5,6},{3},{4},{7}} => 2
{{1},{2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6},{5},{7}} => {{1,2},{3,6},{4},{5},{7}} => {{1},{2,5},{3},{4},{6,7}} => 2
{{1},{2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} => 3
{{1,5,6,7},{2},{3,4}} => {{1,2,3,7},{4,5},{6}} => {{1,2,3,5},{4},{6,7}} => {{1,2},{3,5,6,7},{4}} => 1
{{1,5,6},{2,7},{3,4}} => {{1,6,7},{2,3},{4,5}} => {{1,3,6,7},{2,5},{4}} => {{1,2,5,7},{3,6},{4}} => 9
{{1,5,6},{2},{3,4,7}} => {{1,4,7},{2,3,5},{6}} => {{1,3,5,7},{2,4},{6}} => {{1,3,5,7},{2},{4,6}} => 7
{{1,5,6},{2},{3,4},{7}} => {{1},{2,3,7},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,2},{3,6},{4},{5,7}} => 3
{{1,5,7},{2,6},{3,4}} => {{1,3,6,7},{2},{4,5}} => {{1,5,6,7},{2,3},{4}} => {{1,2,3,7},{4},{5,6}} => 6
{{1,5},{2,6,7},{3,4}} => {{1,2,6,7},{3},{4,5}} => {{1,2,5,6,7},{3},{4}} => {{1,2,3,6,7},{4},{5}} => 6
{{1,5},{2,6},{3,4,7}} => {{1,4,6,7},{2},{3,5}} => {{1,5,6,7},{2},{3,4}} => {{1,2,3,7},{4,5},{6}} => 6
{{1,5},{2,6},{3,4},{7}} => {{1},{2,6,7},{3},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,2,5},{3,7},{4},{6}} => 7
{{1,5,7},{2},{3,4,6}} => {{1,3,4,7},{2,5},{6}} => {{1,5},{2,3,4},{6,7}} => {{1,2},{3,7},{4,5,6}} => 1
{{1,5},{2,7},{3,4,6}} => {{1,6,7},{2,4},{3,5}} => {{1,5},{2,4},{3,6,7}} => {{1,2,5},{3,7},{4,6}} => 7
{{1,5},{2},{3,4,6,7}} => {{1,2,4,7},{3,5},{6}} => {{1,2,5},{3,4},{6,7}} => {{1,2},{3,6,7},{4,5}} => 1
{{1,5},{2},{3,4,6},{7}} => {{1},{2,4,7},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,2},{3,7},{4,6},{5}} => 3
{{1,5,7},{2},{3,4},{6}} => {{1,3},{2,7},{4,5},{6}} => {{1,5},{2,3},{4,7},{6}} => {{1,4},{2},{3,7},{5,6}} => 4
{{1,5},{2,7},{3,4},{6}} => {{1,6},{2,7},{3},{4,5}} => {{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}} => 6
{{1,5},{2},{3,4,7},{6}} => {{1,4},{2,7},{3,5},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => 4
{{1,5},{2},{3,4},{6,7}} => {{1,2},{3,7},{4,5},{6}} => {{1,2,5},{3},{4,7},{6}} => {{1,4},{2},{3,6,7},{5}} => 4
{{1,5},{2},{3,4},{6},{7}} => {{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3,7},{4},{6}} => {{1,5},{2},{3,7},{4},{6}} => 6
{{1,6,7},{2,5},{3,4}} => {{1,2,7},{3,6},{4,5}} => {{1,2,5},{3,6,7},{4}} => {{1,2,5},{3,6,7},{4}} => 6
{{1,6},{2,5,7},{3,4}} => {{1,3,7},{2,6},{4,5}} => {{1,5},{2,3,6,7},{4}} => {{1,2,5,6},{3,7},{4}} => 6
{{1,6},{2,5},{3,4,7}} => {{1,4,7},{2,6},{3,5}} => {{1,5},{2,6,7},{3,4}} => {{1,2,6},{3,7},{4,5}} => 6
{{1,6},{2,5},{3,4},{7}} => {{1},{2,7},{3,6},{4,5}} => {{1,5},{2,6},{3,7},{4}} => {{1,5},{2,6},{3,7},{4}} => 9
{{1,7},{2,5,6},{3,4}} => {{1,7},{2,3,6},{4,5}} => {{1,3,7},{2,5,6},{4}} => {{1,5,7},{2,3,6},{4}} => 8
{{1},{2,5,6,7},{3,4}} => {{1,2,3,6},{4,5},{7}} => {{1,2,3,5,6},{4},{7}} => {{1},{2,3,5,6,7},{4}} => 2
{{1},{2,5,6},{3,4,7}} => {{1,4,6},{2,3,5},{7}} => {{1,3,5},{2,4,6},{7}} => {{1},{2,4,6},{3,5,7}} => 6
{{1},{2,5,6},{3,4},{7}} => {{1},{2,3,6},{4,5},{7}} => {{1,3},{2,5,6},{4},{7}} => {{1},{2,3,6},{4},{5,7}} => 5
{{1,7},{2,5},{3,4,6}} => {{1,7},{2,4,6},{3,5}} => {{1,5,6},{2,4},{3,7}} => {{1,5},{2,3,7},{4,6}} => 7
{{1},{2,5,7},{3,4,6}} => {{1,3,4,6},{2,5},{7}} => {{1,5,6},{2,3,4},{7}} => {{1},{2,3,7},{4,5,6}} => 2
{{1},{2,5},{3,4,6,7}} => {{1,2,4,6},{3,5},{7}} => {{1,2,5,6},{3,4},{7}} => {{1},{2,3,6,7},{4,5}} => 2
{{1},{2,5},{3,4,6},{7}} => {{1},{2,4,6},{3,5},{7}} => {{1,5,6},{2,4},{3},{7}} => {{1},{2,3,7},{4,6},{5}} => 5
{{1,7},{2,5},{3,4},{6}} => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2,6},{3},{4,7}} => {{1,4},{2,6},{3,7},{5}} => 8
{{1},{2,5,7},{3,4},{6}} => {{1,3},{2,6},{4,5},{7}} => {{1,5},{2,3,6},{4},{7}} => {{1},{2,5,6},{3,7},{4}} => 4
{{1},{2,5},{3,4,7},{6}} => {{1,4},{2,6},{3,5},{7}} => {{1,5},{2,6},{3,4},{7}} => {{1},{2,6},{3,7},{4,5}} => 4
{{1},{2,5},{3,4},{6,7}} => {{1,2},{3,6},{4,5},{7}} => {{1,2,5},{3,6},{4},{7}} => {{1},{2,5},{3,6,7},{4}} => 4
{{1},{2,5},{3,4},{6},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,5},{2,6},{3},{4},{7}} => {{1},{2,6},{3,7},{4},{5}} => 6
{{1,6,7},{2},{3,4,5}} => {{1,2,7},{3,4,5},{6}} => {{1,2,4},{3,5,7},{6}} => {{1,3,5},{2},{4,6,7}} => 4
{{1,6},{2,7},{3,4,5}} => {{1,6,7},{2},{3,4,5}} => {{1,4,5,7},{2},{3,6}} => {{1,3,4,7},{2,5},{6}} => 8
{{1,6},{2},{3,4,5,7}} => {{1,3,7},{2,4,5},{6}} => {{1,4},{2,3,5,7},{6}} => {{1,3,5,6},{2},{4,7}} => 4
{{1,6},{2},{3,4,5},{7}} => {{1},{2,7},{3,4,5},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2},{3,4,7},{6}} => 6
{{1,7},{2,6},{3,4,5}} => {{1,7},{2,6},{3,4,5}} => {{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,4,7}} => 8
{{1},{2,6,7},{3,4,5}} => {{1,2,6},{3,4,5},{7}} => {{1,2,4,6},{3,5},{7}} => {{1},{2,4,6,7},{3,5}} => 4
{{1},{2,6},{3,4,5,7}} => {{1,3,6},{2,4,5},{7}} => {{1,4,6},{2,3,5},{7}} => {{1},{2,4,7},{3,5,6}} => 4
{{1},{2,6},{3,4,5},{7}} => {{1},{2,6},{3,4,5},{7}} => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,7},{5}} => 6
{{1,7},{2},{3,4,5,6}} => {{1,7},{2,3,4,5},{6}} => {{1,3,4,5,7},{2},{6}} => {{1,3,4,5,7},{2},{6}} => 5
{{1},{2,7},{3,4,5,6}} => {{1,6},{2,3,4,5},{7}} => {{1,3,4,5},{2,6},{7}} => {{1},{2,6},{3,4,5,7}} => 4
{{1},{2},{3,4,5,6,7}} => {{1,2,3,4,5},{6},{7}} => {{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}} => {{1,3,4,5},{2},{6},{7}} => {{1},{2},{3,4,5,7},{6}} => 3
{{1,7},{2},{3,4,5},{6}} => {{1,7},{2},{3,4,5},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1,3,4,7},{2},{5},{6}} => 7
{{1},{2,7},{3,4,5},{6}} => {{1,6},{2},{3,4,5},{7}} => {{1,4,5},{2},{3,6},{7}} => {{1},{2,5},{3,4,7},{6}} => 5
{{1},{2},{3,4,5,7},{6}} => {{1,3},{2,4,5},{6},{7}} => {{1,4},{2,3,5},{6},{7}} => {{1},{2},{3,5,6},{4,7}} => 2
{{1},{2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6},{7}} => {{1,2,4},{3,5},{6},{7}} => {{1},{2},{3,5},{4,6,7}} => 2
{{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => {{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,7},{5},{6}} => 4
{{1,6,7},{2},{3,4},{5}} => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => {{1,2},{3,6,7},{4},{5}} => 2
{{1,6},{2,7},{3,4},{5}} => {{1,6,7},{2},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,2,4},{3,7},{5},{6}} => 5
{{1,6},{2},{3,4,7},{5}} => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,2},{3,7},{4,5},{6}} => 2
{{1,6},{2},{3,4},{5,7}} => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => {{1,2},{3,7},{4},{5,6}} => 2
{{1,6},{2},{3,4},{5},{7}} => {{1},{2,7},{3},{4,5},{6}} => {{1,5},{2},{3},{4,7},{6}} => {{1,4},{2},{3,7},{5},{6}} => 5
{{1,7},{2,6},{3,4},{5}} => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3,6},{4,7}} => {{1,4},{2,5},{3,7},{6}} => 7
{{1},{2,6,7},{3,4},{5}} => {{1,2,6},{3},{4,5},{7}} => {{1,2,5,6},{3},{4},{7}} => {{1},{2,3,6,7},{4},{5}} => 4
{{1},{2,6},{3,4,7},{5}} => {{1,4,6},{2},{3,5},{7}} => {{1,5,6},{2},{3,4},{7}} => {{1},{2,3,7},{4,5},{6}} => 4
{{1},{2,6},{3,4},{5,7}} => {{1,3,6},{2},{4,5},{7}} => {{1,5,6},{2,3},{4},{7}} => {{1},{2,3,7},{4},{5,6}} => 4
{{1},{2,6},{3,4},{5},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,5},{3,7},{4},{6}} => 5
{{1,7},{2},{3,4,6},{5}} => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4,7},{3},{6}} => {{1,4,6},{2},{3,7},{5}} => 6
{{1},{2,7},{3,4,6},{5}} => {{1,6},{2,4},{3,5},{7}} => {{1,5},{2,4},{3,6},{7}} => {{1},{2,5},{3,7},{4,6}} => 5
{{1},{2},{3,4,6,7},{5}} => {{1,2,4},{3,5},{6},{7}} => {{1,2,5},{3,4},{6},{7}} => {{1},{2},{3,6,7},{4,5}} => 1
{{1},{2},{3,4,6},{5,7}} => {{1,3,4},{2,5},{6},{7}} => {{1,5},{2,3,4},{6},{7}} => {{1},{2},{3,7},{4,5,6}} => 1
{{1},{2},{3,4,6},{5},{7}} => {{1},{2,4},{3,5},{6},{7}} => {{1,5},{2,4},{3},{6},{7}} => {{1},{2},{3,7},{4,6},{5}} => 3
{{1,7},{2},{3,4},{5,6}} => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4,7},{6}} => {{1,4},{2},{3,6},{5,7}} => 5
{{1},{2,7},{3,4},{5,6}} => {{1,6},{2,3},{4,5},{7}} => {{1,3,6},{2,5},{4},{7}} => {{1},{2,5,7},{3,6},{4}} => 6
{{1},{2},{3,4,7},{5,6}} => {{1,4},{2,3,5},{6},{7}} => {{1,3,5},{2,4},{6},{7}} => {{1},{2},{3,5,7},{4,6}} => 4
{{1},{2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7}} => {{1},{2},{3,5,6,7},{4}} => 1
{{1},{2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6},{7}} => {{1,3},{2,5},{4},{6},{7}} => {{1},{2},{3,6},{4},{5,7}} => 3
{{1,7},{2},{3,4},{5},{6}} => {{1,7},{2},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1,3,7},{2},{4},{5},{6}} => 7
{{1},{2,7},{3,4},{5},{6}} => {{1,6},{2},{3},{4,5},{7}} => {{1,5},{2},{3},{4,6},{7}} => {{1},{2,4},{3,7},{5},{6}} => 4
{{1},{2},{3,4,7},{5},{6}} => {{1,4},{2},{3,5},{6},{7}} => {{1,5},{2},{3,4},{6},{7}} => {{1},{2},{3,7},{4,5},{6}} => 2
{{1},{2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6},{7}} => {{1,5},{2,3},{4},{6},{7}} => {{1},{2},{3,7},{4},{5,6}} => 2
{{1},{2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6},{7}} => {{1,2,5},{3},{4},{6},{7}} => {{1},{2},{3,6,7},{4},{5}} => 2
{{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3,7},{4},{5},{6}} => 3
{{1,5,6,7},{2},{3},{4}} => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6,7}} => 0
{{1,5,6},{2,7},{3},{4}} => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,2,4},{3},{5,7},{6}} => 3
{{1,5,6},{2},{3,7},{4}} => {{1,5,7},{2,3},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,2},{3,5,7},{4},{6}} => 3
{{1,5,6},{2},{3},{4,7}} => {{1,4,7},{2,3},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,2},{3},{4,6},{5,7}} => 2
{{1,5,6},{2},{3},{4},{7}} => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,2},{3},{4},{5,7},{6}} => 1
{{1,5,7},{2,6},{3},{4}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => {{1,2,3},{4},{5,6},{7}} => 0
{{1,5},{2,6,7},{3},{4}} => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6,7}} => 0
{{1,5},{2,6},{3,7},{4}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6},{7}} => 0
{{1,5},{2,6},{3},{4,7}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => {{1,2,3},{4,5},{6},{7}} => 0
{{1,5},{2,6},{3},{4},{7}} => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6},{7}} => 2
{{1,5,7},{2},{3,6},{4}} => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => {{1,2},{3,4},{5,6},{7}} => 0
{{1,5},{2,7},{3,6},{4}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,2,4},{3,5},{6},{7}} => 3
{{1,5},{2},{3,6,7},{4}} => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6,7}} => 0
{{1,5},{2},{3,6},{4,7}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => {{1,2},{3,4,5},{6},{7}} => 0
{{1,5},{2},{3,6},{4},{7}} => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6},{7}} => 1
{{1,5,7},{2},{3},{4,6}} => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => {{1,2},{3},{4,5,6},{7}} => 0
{{1,5},{2,7},{3},{4,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,2,4,6},{3},{5},{7}} => 5
{{1,5},{2},{3,7},{4,6}} => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,2},{3,5},{4,6},{7}} => 2
{{1,5},{2},{3},{4,6,7}} => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6,7}} => 0
{{1,5},{2},{3},{4,6},{7}} => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6},{5},{7}} => 1
{{1,5,7},{2},{3},{4},{6}} => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,3},{2},{4},{5,6},{7}} => 1
{{1,5},{2,7},{3},{4},{6}} => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6},{7}} => 1
{{1,5},{2},{3,7},{4},{6}} => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,3,4},{2},{5},{6},{7}} => 1
{{1,5},{2},{3},{4,7},{6}} => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,3},{2},{4,5},{6},{7}} => 1
{{1,5},{2},{3},{4},{6,7}} => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6,7}} => 1
{{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => {{1,4},{2},{3},{5},{6},{7}} => 2
{{1,6,7},{2,5},{3},{4}} => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6,7}} => 2
{{1,6},{2,5,7},{3},{4}} => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,2,4},{3},{5,6},{7}} => 2
{{1,6},{2,5},{3,7},{4}} => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6},{7}} => 2
{{1,6},{2,5},{3},{4,7}} => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,2,4,5},{3},{6},{7}} => 2
{{1,6},{2,5},{3},{4},{7}} => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4,7},{5}} => {{1,4},{2,5},{3},{6},{7}} => 4
{{1,7},{2,5,6},{3},{4}} => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,4},{2,3},{5,7},{6}} => 2
{{1},{2,5,6,7},{3},{4}} => {{1,2,3,6},{4},{5},{7}} => {{1,2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6,7}} => 0
{{1},{2,5,6},{3,7},{4}} => {{1,5,6},{2,3},{4},{7}} => {{1,3,5,6},{2},{4},{7}} => {{1},{2,3,5,7},{4},{6}} => 5
{{1},{2,5,6},{3},{4,7}} => {{1,4,6},{2,3},{5},{7}} => {{1,3},{2,4},{5,6},{7}} => {{1},{2,3},{4,6},{5,7}} => 2
{{1},{2,5,6},{3},{4},{7}} => {{1},{2,3,6},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => {{1},{2,3},{4},{5,7},{6}} => 1
{{1,7},{2,5},{3,6},{4}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4},{2,3,5},{6},{7}} => 3
{{1},{2,5,7},{3,6},{4}} => {{1,3,5,6},{2},{4},{7}} => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3,4},{5,6},{7}} => 0
{{1},{2,5},{3,6,7},{4}} => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => {{1},{2,3,4},{5},{6,7}} => 0
{{1},{2,5},{3,6},{4,7}} => {{1,4,5,6},{2},{3},{7}} => {{1},{2},{3,4,5,6},{7}} => {{1},{2,3,4,5},{6},{7}} => 0
{{1},{2,5},{3,6},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6},{7}} => 2
{{1,7},{2,5},{3},{4,6}} => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,4,6},{2,3},{5},{7}} => 3
{{1},{2,5,7},{3},{4,6}} => {{1,3,4,6},{2},{5},{7}} => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3},{4,5,6},{7}} => 0
{{1},{2,5},{3,7},{4,6}} => {{1,5,6},{2,4},{3},{7}} => {{1},{2,4},{3,5,6},{7}} => {{1},{2,3,5},{4,6},{7}} => 3
{{1},{2,5},{3},{4,6,7}} => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6,7}} => 0
{{1},{2,5},{3},{4,6},{7}} => {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6},{5},{7}} => 1
{{1,7},{2,5},{3},{4},{6}} => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3},{2,5},{4},{6},{7}} => 3
{{1},{2,5,7},{3},{4},{6}} => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => 1
{{1},{2,5},{3,7},{4},{6}} => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6},{7}} => 1
{{1},{2,5},{3},{4,7},{6}} => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1},{2,4,5},{3},{6},{7}} => 1
{{1},{2,5},{3},{4},{6,7}} => {{1,2},{3,6},{4},{5},{7}} => {{1,2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6,7}} => 1
{{1},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,6},{4},{5},{7}} => {{1},{2},{3,6},{4},{5},{7}} => {{1},{2,5},{3},{4},{6},{7}} => 2
{{1,6,7},{2},{3,5},{4}} => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6,7}} => 1
{{1,6},{2,7},{3,5},{4}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,2,4},{3,6},{5},{7}} => 4
{{1,6},{2},{3,5,7},{4}} => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,2},{3,5,6},{4},{7}} => 1
{{1,6},{2},{3,5},{4,7}} => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,2},{3,6},{4,5},{7}} => 1
{{1,6},{2},{3,5},{4},{7}} => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5},{3},{4,7},{6}} => {{1,4},{2},{3,6},{5},{7}} => 4
{{1,7},{2,6},{3,5},{4}} => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6},{7}} => 6
{{1},{2,6,7},{3,5},{4}} => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6,7}} => 2
{{1},{2,6},{3,5,7},{4}} => {{1,3,6},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => 2
{{1},{2,6},{3,5},{4,7}} => {{1,4,6},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7}} => {{1},{2,3,6},{4,5},{7}} => 2
{{1},{2,6},{3,5},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} => 4
{{1,7},{2},{3,5,6},{4}} => {{1,7},{2,3,5},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,3,4},{2},{5,7},{6}} => 2
{{1},{2,7},{3,5,6},{4}} => {{1,6},{2,3,5},{4},{7}} => {{1,3,6},{2},{4,5},{7}} => {{1},{2,5,7},{3,4},{6}} => 3
{{1},{2},{3,5,6,7},{4}} => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6,7}} => 0
{{1},{2},{3,5,6},{4,7}} => {{1,4,5},{2,3},{6},{7}} => {{1,3},{2,4,5},{6},{7}} => {{1},{2},{3,4,6},{5,7}} => 3
{{1},{2},{3,5,6},{4},{7}} => {{1},{2,3,5},{4},{6},{7}} => {{1,3},{2},{4,5},{6},{7}} => {{1},{2},{3,4},{5,7},{6}} => 1
{{1,7},{2},{3,5},{4,6}} => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,3,4,6},{2},{5},{7}} => 4
{{1},{2,7},{3,5},{4,6}} => {{1,6},{2,4,5},{3},{7}} => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}} => 3
{{1},{2},{3,5,7},{4,6}} => {{1,3,4,5},{2},{6},{7}} => {{1},{2,3,4,5},{6},{7}} => {{1},{2},{3,4,5,6},{7}} => 0
{{1},{2},{3,5},{4,6,7}} => {{1,2,4,5},{3},{6},{7}} => {{1,2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6,7}} => 0
{{1},{2},{3,5},{4,6},{7}} => {{1},{2,4,5},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6},{5},{7}} => 2
{{1,7},{2},{3,5},{4},{6}} => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,3,6},{2},{4},{5},{7}} => 5
{{1},{2,7},{3,5},{4},{6}} => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5},{3},{4,6},{7}} => {{1},{2,4},{3,6},{5},{7}} => 3
{{1},{2},{3,5,7},{4},{6}} => {{1,3},{2,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}} => {{1},{2},{3,5,6},{4},{7}} => 1
{{1},{2},{3,5},{4,7},{6}} => {{1,4},{2,5},{3},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} => {{1},{2},{3,6},{4,5},{7}} => 1
{{1},{2},{3,5},{4},{6,7}} => {{1,2},{3,5},{4},{6},{7}} => {{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},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,6},{4},{5},{7}} => 2
{{1,6,7},{2},{3},{4,5}} => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => {{1,2},{3},{4,6,7},{5}} => 1
{{1,6},{2,7},{3},{4,5}} => {{1,6,7},{2},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1,2,4,7},{3},{5},{6}} => 8
{{1,6},{2},{3,7},{4,5}} => {{1,5,7},{2},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,2},{3,5},{4,7},{6}} => 3
{{1,6},{2},{3},{4,5,7}} => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => {{1,2},{3},{4,7},{5,6}} => 1
{{1,6},{2},{3},{4,5},{7}} => {{1},{2,7},{3,4},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => 6
{{1,7},{2,6},{3},{4,5}} => {{1,7},{2,6},{3,4},{5}} => {{1,4,7},{2},{3,6},{5}} => {{1,4,7},{2,5},{3},{6}} => 8
{{1},{2,6,7},{3},{4,5}} => {{1,2,6},{3,4},{5},{7}} => {{1,2,4},{3},{5,6},{7}} => {{1},{2,3},{4,6,7},{5}} => 1
{{1},{2,6},{3,7},{4,5}} => {{1,5,6},{2},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} => {{1},{2,3,5},{4,7},{6}} => 4
{{1},{2,6},{3},{4,5,7}} => {{1,3,6},{2,4},{5},{7}} => {{1,4},{2,3},{5,6},{7}} => {{1},{2,3},{4,7},{5,6}} => 1
{{1},{2,6},{3},{4,5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,5},{3},{4,7},{6}} => 4
{{1,7},{2},{3,6},{4,5}} => {{1,7},{2,5},{3,4},{6}} => {{1,4,7},{2,5},{3},{6}} => {{1,4,7},{2},{3,6},{5}} => 8
{{1},{2,7},{3,6},{4,5}} => {{1,6},{2,5},{3,4},{7}} => {{1,4},{2,5},{3,6},{7}} => {{1},{2,5},{3,6},{4,7}} => 6
{{1},{2},{3,6,7},{4,5}} => {{1,2,5},{3,4},{6},{7}} => {{1,2,4,5},{3},{6},{7}} => {{1},{2},{3,4,6,7},{5}} => 2
{{1},{2},{3,6},{4,5,7}} => {{1,3,5},{2,4},{6},{7}} => {{1,4,5},{2,3},{6},{7}} => {{1},{2},{3,4,7},{5,6}} => 2
{{1},{2},{3,6},{4,5},{7}} => {{1},{2,5},{3,4},{6},{7}} => {{1,4},{2,5},{3},{6},{7}} => {{1},{2},{3,6},{4,7},{5}} => 4
{{1,7},{2},{3},{4,5,6}} => {{1,7},{2,3,4},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1,3},{2},{4,5,7},{6}} => 3
{{1},{2,7},{3},{4,5,6}} => {{1,6},{2,3,4},{5},{7}} => {{1,3,4,6},{2},{5},{7}} => {{1},{2,4,5,7},{3},{6}} => 4
{{1},{2},{3,7},{4,5,6}} => {{1,5},{2,3,4},{6},{7}} => {{1,3,4},{2,5},{6},{7}} => {{1},{2},{3,6},{4,5,7}} => 3
{{1},{2},{3},{4,5,6,7}} => {{1,2,3,4},{5},{6},{7}} => {{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}} => {{1,3,4},{2},{5},{6},{7}} => {{1},{2},{3},{4,5,7},{6}} => 2
{{1,7},{2},{3},{4,5},{6}} => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1,3},{2},{4,7},{5},{6}} => 3
{{1},{2,7},{3},{4,5},{6}} => {{1,6},{2},{3,4},{5},{7}} => {{1,4,6},{2},{3},{5},{7}} => {{1},{2,4,7},{3},{5},{6}} => 5
{{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3,4},{6},{7}} => {{1,4},{2},{3,5},{6},{7}} => {{1},{2},{3,5},{4,7},{6}} => 3
{{1},{2},{3},{4,5,7},{6}} => {{1,3},{2,4},{5},{6},{7}} => {{1,4},{2,3},{5},{6},{7}} => {{1},{2},{3},{4,7},{5,6}} => 1
{{1},{2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6},{7}} => {{1,2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6,7},{5}} => 1
{{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => {{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3},{4,7},{5},{6}} => 2
{{1,6,7},{2},{3},{4},{5}} => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6,7}} => 0
{{1,6},{2,7},{3},{4},{5}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6},{7}} => 0
{{1,6},{2},{3,7},{4},{5}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,2},{3,4},{5},{6},{7}} => 0
{{1,6},{2},{3},{4,7},{5}} => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,2},{3},{4,5},{6},{7}} => 0
{{1,6},{2},{3},{4},{5,7}} => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,2},{3},{4},{5,6},{7}} => 0
{{1,6},{2},{3},{4},{5},{7}} => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6},{7}} => 1
{{1,7},{2,6},{3},{4},{5}} => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 2
{{1},{2,6,7},{3},{4},{5}} => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => {{1},{2,3},{4},{5},{6,7}} => 0
{{1},{2,6},{3,7},{4},{5}} => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1},{2,3,4},{5},{6},{7}} => 0
{{1},{2,6},{3},{4,7},{5}} => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1},{2,3},{4,5},{6},{7}} => 0
{{1},{2,6},{3},{4},{5,7}} => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}} => 0
{{1},{2,6},{3},{4},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6},{7}} => 1
{{1,7},{2},{3,6},{4},{5}} => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => {{1,3,5},{2},{4},{6},{7}} => 3
{{1},{2,7},{3,6},{4},{5}} => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5},{4,6},{7}} => {{1},{2,4},{3,5},{6},{7}} => 2
{{1},{2},{3,6,7},{4},{5}} => {{1,2,5},{3},{4},{6},{7}} => {{1,2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6,7}} => 0
{{1},{2},{3,6},{4,7},{5}} => {{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => 0
{{1},{2},{3,6},{4},{5,7}} => {{1,3,5},{2},{4},{6},{7}} => {{1},{2,3},{4,5},{6},{7}} => {{1},{2},{3,4},{5,6},{7}} => 0
{{1},{2},{3,6},{4},{5},{7}} => {{1},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => 1
{{1,7},{2},{3},{4,6},{5}} => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => {{1,3},{2},{4,6},{5},{7}} => 2
{{1},{2,7},{3},{4,6},{5}} => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => 3
{{1},{2},{3,7},{4,6},{5}} => {{1,5},{2,4},{3},{6},{7}} => {{1},{2,4},{3,5},{6},{7}} => {{1},{2},{3,5},{4,6},{7}} => 2
{{1},{2},{3},{4,6,7},{5}} => {{1,2,4},{3},{5},{6},{7}} => {{1,2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6,7}} => 0
{{1},{2},{3},{4,6},{5,7}} => {{1,3,4},{2},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}} => {{1},{2},{3},{4,5,6},{7}} => 0
{{1},{2},{3},{4,6},{5},{7}} => {{1},{2,4},{3},{5},{6},{7}} => {{1},{2,4},{3},{5},{6},{7}} => {{1},{2},{3},{4,6},{5},{7}} => 1
{{1,7},{2},{3},{4},{5,6}} => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1,3},{2},{4},{5,7},{6}} => 2
{{1},{2,7},{3},{4},{5,6}} => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4,6},{5},{7}} => {{1},{2,4},{3},{5,7},{6}} => 2
{{1},{2},{3,7},{4},{5,6}} => {{1,5},{2,3},{4},{6},{7}} => {{1,3,5},{2},{4},{6},{7}} => {{1},{2},{3,5,7},{4},{6}} => 3
{{1},{2},{3},{4,7},{5,6}} => {{1,4},{2,3},{5},{6},{7}} => {{1,3},{2,4},{5},{6},{7}} => {{1},{2},{3},{4,6},{5,7}} => 2
{{1},{2},{3},{4},{5,6,7}} => {{1,2,3},{4},{5},{6},{7}} => {{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}} => {{1,3},{2},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,7},{6}} => 1
{{1,7},{2},{3},{4},{5},{6}} => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,2},{3},{4},{5},{6},{7}} => 0
{{1},{2,7},{3},{4},{5},{6}} => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2,3},{4},{5},{6},{7}} => 0
{{1},{2},{3,7},{4},{5},{6}} => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => 0
{{1},{2},{3},{4,7},{5},{6}} => {{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => 0
{{1},{2},{3},{4},{5,7},{6}} => {{1,3},{2},{4},{5},{6},{7}} => {{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}} => {{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}} => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
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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:
4,1 8,4,3 16,12,13,8,3 32,32,42,38,33,15,10,1 64,80,120,133,145,121,98,60,37,15,4
F1=1
F2=2
F3=4+q
F4=8+4 q+3 q2
F5=16+12 q+13 q2+8 q3+3 q4
F6=32+32 q+42 q2+38 q3+33 q4+15 q5+10 q6+q7
F7=64+80 q+120 q2+133 q3+145 q4+121 q5+98 q6+60 q7+37 q8+15 q9+4 q10
Description
The Z-index of a set partition.
The Mahonian representation of a set partition {B1,…,Bk} of {1,…,n} is the restricted growth word w1…wn obtained by sorting the blocks of the set partition according to their maximal element, and setting wi to the index of the block containing i.
The Z-index of w equals
∑i<jwi,j,
where wi,j is the word obtained from w by removing all letters different from i and j.
The Mahonian representation of a set partition {B1,…,Bk} of {1,…,n} is the restricted growth word w1…wn obtained by sorting the blocks of the set partition according to their maximal element, and setting wi to the index of the block containing i.
The Z-index of w equals
∑i<jwi,j,
where wi,j is the word obtained from w by removing all letters different from i and j.
Map
complement
Description
The complement of a set partition obtained by replacing i with n+1−i.
Map
inverse Yip
Description
The inverse of a transformation of set partitions due to Yip.
Return the set partition of {1,...,n} corresponding to the set of arcs, interpreted as a rook placement, applying Yip's bijection ψ−1.
Return the set partition of {1,...,n} corresponding to the set of arcs, interpreted as a rook placement, applying Yip's bijection ψ−1.
Map
Wachs-White
Description
A transformation of set partitions due to Wachs and White.
Return the set partition of {1,...,n} corresponding to the set of arcs, interpreted as a rook placement, applying Wachs and White's bijection γ.
Note that our index convention differs from the convention in [1]: regarding the rook board as a lower-right triangular grid, we refer with (i,j) to the cell in the i-th column from the right and the j-th row from the top.
Return the set partition of {1,...,n} corresponding to the set of arcs, interpreted as a rook placement, applying Wachs and White's bijection γ.
Note that our index convention differs from the convention in [1]: regarding the rook board as a lower-right triangular grid, we refer with (i,j) to the cell in the i-th column from the right and the j-th row from the top.
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