Identifier
-
Mp00240:
Permutations
—weak exceedance partition⟶
Set partitions
Mp00174: Set partitions —dual major index to intertwining number⟶ Set partitions
Mp00221: Set partitions —conjugate⟶ Set partitions
St000558: Set partitions ⟶ ℤ
Values
[1,2] => {{1},{2}} => {{1},{2}} => {{1,2}} => 1
[2,1] => {{1,2}} => {{1,2}} => {{1},{2}} => 0
[1,2,3] => {{1},{2},{3}} => {{1},{2},{3}} => {{1,2,3}} => 3
[1,3,2] => {{1},{2,3}} => {{1,3},{2}} => {{1},{2,3}} => 1
[2,1,3] => {{1,2},{3}} => {{1,2},{3}} => {{1,2},{3}} => 1
[2,3,1] => {{1,2,3}} => {{1,2,3}} => {{1},{2},{3}} => 0
[3,1,2] => {{1,3},{2}} => {{1},{2,3}} => {{1,3},{2}} => 1
[3,2,1] => {{1,3},{2}} => {{1},{2,3}} => {{1,3},{2}} => 1
[1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}} => {{1,2,3,4}} => 6
[1,2,4,3] => {{1},{2},{3,4}} => {{1,4},{2},{3}} => {{1},{2,3,4}} => 3
[1,3,2,4] => {{1},{2,3},{4}} => {{1,3},{2},{4}} => {{1,2},{3,4}} => 2
[1,3,4,2] => {{1},{2,3,4}} => {{1,3},{2,4}} => {{1,3},{2,4}} => 2
[1,4,2,3] => {{1},{2,4},{3}} => {{1},{2,4},{3}} => {{1,4},{2,3}} => 2
[1,4,3,2] => {{1},{2,4},{3}} => {{1},{2,4},{3}} => {{1,4},{2,3}} => 2
[2,1,3,4] => {{1,2},{3},{4}} => {{1,2},{3},{4}} => {{1,2,3},{4}} => 3
[2,1,4,3] => {{1,2},{3,4}} => {{1,2,4},{3}} => {{1},{2,3},{4}} => 1
[2,3,1,4] => {{1,2,3},{4}} => {{1,2,3},{4}} => {{1,2},{3},{4}} => 1
[2,3,4,1] => {{1,2,3,4}} => {{1,2,3,4}} => {{1},{2},{3},{4}} => 0
[2,4,1,3] => {{1,2,4},{3}} => {{1,2},{3,4}} => {{1,3},{2},{4}} => 1
[2,4,3,1] => {{1,2,4},{3}} => {{1,2},{3,4}} => {{1,3},{2},{4}} => 1
[3,1,2,4] => {{1,3},{2},{4}} => {{1},{2,3},{4}} => {{1,2,4},{3}} => 3
[3,1,4,2] => {{1,3,4},{2}} => {{1},{2,3,4}} => {{1,4},{2},{3}} => 1
[3,2,1,4] => {{1,3},{2},{4}} => {{1},{2,3},{4}} => {{1,2,4},{3}} => 3
[3,2,4,1] => {{1,3,4},{2}} => {{1},{2,3,4}} => {{1,4},{2},{3}} => 1
[3,4,1,2] => {{1,3},{2,4}} => {{1,4},{2,3}} => {{1},{2,4},{3}} => 1
[3,4,2,1] => {{1,3},{2,4}} => {{1,4},{2,3}} => {{1},{2,4},{3}} => 1
[4,1,2,3] => {{1,4},{2},{3}} => {{1},{2},{3,4}} => {{1,3,4},{2}} => 3
[4,1,3,2] => {{1,4},{2},{3}} => {{1},{2},{3,4}} => {{1,3,4},{2}} => 3
[4,2,1,3] => {{1,4},{2},{3}} => {{1},{2},{3,4}} => {{1,3,4},{2}} => 3
[4,2,3,1] => {{1,4},{2},{3}} => {{1},{2},{3,4}} => {{1,3,4},{2}} => 3
[4,3,1,2] => {{1,4},{2,3}} => {{1,3,4},{2}} => {{1},{2},{3,4}} => 1
[4,3,2,1] => {{1,4},{2,3}} => {{1,3,4},{2}} => {{1},{2},{3,4}} => 1
[1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} => {{1,2,3,4,5}} => 10
[1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1,5},{2},{3},{4}} => {{1},{2,3,4,5}} => 6
[1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1,4},{2},{3},{5}} => {{1,2},{3,4,5}} => 4
[1,2,4,5,3] => {{1},{2},{3,4,5}} => {{1,4},{2,5},{3}} => {{1,3,4},{2,5}} => 4
[1,2,5,3,4] => {{1},{2},{3,5},{4}} => {{1},{2,5},{3},{4}} => {{1,5},{2,3,4}} => 4
[1,2,5,4,3] => {{1},{2},{3,5},{4}} => {{1},{2,5},{3},{4}} => {{1,5},{2,3,4}} => 4
[1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1,3},{2},{4},{5}} => {{1,2,3},{4,5}} => 4
[1,3,2,5,4] => {{1},{2,3},{4,5}} => {{1,3},{2,5},{4}} => {{1,4},{2,3,5}} => 4
[1,3,4,2,5] => {{1},{2,3,4},{5}} => {{1,3},{2,4},{5}} => {{1,2,4},{3,5}} => 4
[1,3,4,5,2] => {{1},{2,3,4,5}} => {{1,3,5},{2,4}} => {{1},{2,4},{3,5}} => 2
[1,3,5,2,4] => {{1},{2,3,5},{4}} => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => 2
[1,3,5,4,2] => {{1},{2,3,5},{4}} => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => 2
[1,4,2,3,5] => {{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => {{1,2,5},{3,4}} => 4
[1,4,2,5,3] => {{1},{2,4,5},{3}} => {{1},{2,4},{3,5}} => {{1,3,5},{2,4}} => 4
[1,4,3,2,5] => {{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => {{1,2,5},{3,4}} => 4
[1,4,3,5,2] => {{1},{2,4,5},{3}} => {{1},{2,4},{3,5}} => {{1,3,5},{2,4}} => 4
[1,4,5,2,3] => {{1},{2,4},{3,5}} => {{1,5},{2,4},{3}} => {{1},{2,5},{3,4}} => 2
[1,4,5,3,2] => {{1},{2,4},{3,5}} => {{1,5},{2,4},{3}} => {{1},{2,5},{3,4}} => 2
[1,5,2,3,4] => {{1},{2,5},{3},{4}} => {{1},{2},{3,5},{4}} => {{1,4,5},{2,3}} => 4
[1,5,2,4,3] => {{1},{2,5},{3},{4}} => {{1},{2},{3,5},{4}} => {{1,4,5},{2,3}} => 4
[1,5,3,2,4] => {{1},{2,5},{3},{4}} => {{1},{2},{3,5},{4}} => {{1,4,5},{2,3}} => 4
[1,5,3,4,2] => {{1},{2,5},{3},{4}} => {{1},{2},{3,5},{4}} => {{1,4,5},{2,3}} => 4
[1,5,4,2,3] => {{1},{2,5},{3,4}} => {{1,4},{2},{3,5}} => {{1,3},{2,4,5}} => 4
[1,5,4,3,2] => {{1},{2,5},{3,4}} => {{1,4},{2},{3,5}} => {{1,3},{2,4,5}} => 4
[2,1,3,4,5] => {{1,2},{3},{4},{5}} => {{1,2},{3},{4},{5}} => {{1,2,3,4},{5}} => 6
[2,1,3,5,4] => {{1,2},{3},{4,5}} => {{1,2,5},{3},{4}} => {{1},{2,3,4},{5}} => 3
[2,1,4,3,5] => {{1,2},{3,4},{5}} => {{1,2,4},{3},{5}} => {{1,2},{3,4},{5}} => 2
[2,1,4,5,3] => {{1,2},{3,4,5}} => {{1,2,4},{3,5}} => {{1,3},{2,4},{5}} => 2
[2,1,5,3,4] => {{1,2},{3,5},{4}} => {{1,2},{3,5},{4}} => {{1,4},{2,3},{5}} => 2
[2,1,5,4,3] => {{1,2},{3,5},{4}} => {{1,2},{3,5},{4}} => {{1,4},{2,3},{5}} => 2
[2,3,1,4,5] => {{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} => 3
[2,3,1,5,4] => {{1,2,3},{4,5}} => {{1,2,3,5},{4}} => {{1},{2,3},{4},{5}} => 1
[2,3,4,1,5] => {{1,2,3,4},{5}} => {{1,2,3,4},{5}} => {{1,2},{3},{4},{5}} => 1
[2,3,4,5,1] => {{1,2,3,4,5}} => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[2,3,5,1,4] => {{1,2,3,5},{4}} => {{1,2,3},{4,5}} => {{1,3},{2},{4},{5}} => 1
[2,3,5,4,1] => {{1,2,3,5},{4}} => {{1,2,3},{4,5}} => {{1,3},{2},{4},{5}} => 1
[2,4,1,3,5] => {{1,2,4},{3},{5}} => {{1,2},{3,4},{5}} => {{1,2,4},{3},{5}} => 3
[2,4,1,5,3] => {{1,2,4,5},{3}} => {{1,2},{3,4,5}} => {{1,4},{2},{3},{5}} => 1
[2,4,3,1,5] => {{1,2,4},{3},{5}} => {{1,2},{3,4},{5}} => {{1,2,4},{3},{5}} => 3
[2,4,3,5,1] => {{1,2,4,5},{3}} => {{1,2},{3,4,5}} => {{1,4},{2},{3},{5}} => 1
[2,4,5,1,3] => {{1,2,4},{3,5}} => {{1,2,5},{3,4}} => {{1},{2,4},{3},{5}} => 1
[2,4,5,3,1] => {{1,2,4},{3,5}} => {{1,2,5},{3,4}} => {{1},{2,4},{3},{5}} => 1
[2,5,1,3,4] => {{1,2,5},{3},{4}} => {{1,2},{3},{4,5}} => {{1,3,4},{2},{5}} => 3
[2,5,1,4,3] => {{1,2,5},{3},{4}} => {{1,2},{3},{4,5}} => {{1,3,4},{2},{5}} => 3
[2,5,3,1,4] => {{1,2,5},{3},{4}} => {{1,2},{3},{4,5}} => {{1,3,4},{2},{5}} => 3
[2,5,3,4,1] => {{1,2,5},{3},{4}} => {{1,2},{3},{4,5}} => {{1,3,4},{2},{5}} => 3
[2,5,4,1,3] => {{1,2,5},{3,4}} => {{1,2,4,5},{3}} => {{1},{2},{3,4},{5}} => 1
[2,5,4,3,1] => {{1,2,5},{3,4}} => {{1,2,4,5},{3}} => {{1},{2},{3,4},{5}} => 1
[3,1,2,4,5] => {{1,3},{2},{4},{5}} => {{1},{2,3},{4},{5}} => {{1,2,3,5},{4}} => 6
[3,1,2,5,4] => {{1,3},{2},{4,5}} => {{1,5},{2,3},{4}} => {{1},{2,3,5},{4}} => 3
[3,1,4,2,5] => {{1,3,4},{2},{5}} => {{1},{2,3,4},{5}} => {{1,2,5},{3},{4}} => 3
[3,1,4,5,2] => {{1,3,4,5},{2}} => {{1},{2,3,4,5}} => {{1,5},{2},{3},{4}} => 1
[3,1,5,2,4] => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => {{1,3,5},{2},{4}} => 3
[3,1,5,4,2] => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => {{1,3,5},{2},{4}} => 3
[3,2,1,4,5] => {{1,3},{2},{4},{5}} => {{1},{2,3},{4},{5}} => {{1,2,3,5},{4}} => 6
[3,2,1,5,4] => {{1,3},{2},{4,5}} => {{1,5},{2,3},{4}} => {{1},{2,3,5},{4}} => 3
[3,2,4,1,5] => {{1,3,4},{2},{5}} => {{1},{2,3,4},{5}} => {{1,2,5},{3},{4}} => 3
[3,2,4,5,1] => {{1,3,4,5},{2}} => {{1},{2,3,4,5}} => {{1,5},{2},{3},{4}} => 1
[3,2,5,1,4] => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => {{1,3,5},{2},{4}} => 3
[3,2,5,4,1] => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => {{1,3,5},{2},{4}} => 3
[3,4,1,2,5] => {{1,3},{2,4},{5}} => {{1,4},{2,3},{5}} => {{1,2},{3,5},{4}} => 2
[3,4,1,5,2] => {{1,3},{2,4,5}} => {{1,4},{2,3,5}} => {{1,3},{2,5},{4}} => 2
[3,4,2,1,5] => {{1,3},{2,4},{5}} => {{1,4},{2,3},{5}} => {{1,2},{3,5},{4}} => 2
[3,4,2,5,1] => {{1,3},{2,4,5}} => {{1,4},{2,3,5}} => {{1,3},{2,5},{4}} => 2
[3,4,5,1,2] => {{1,3,5},{2,4}} => {{1,4,5},{2,3}} => {{1},{2},{3,5},{4}} => 1
[3,4,5,2,1] => {{1,3,5},{2,4}} => {{1,4,5},{2,3}} => {{1},{2},{3,5},{4}} => 1
[3,5,1,2,4] => {{1,3},{2,5},{4}} => {{1},{2,3,5},{4}} => {{1,5},{2,3},{4}} => 2
[3,5,1,4,2] => {{1,3},{2,5},{4}} => {{1},{2,3,5},{4}} => {{1,5},{2,3},{4}} => 2
[3,5,2,1,4] => {{1,3},{2,5},{4}} => {{1},{2,3,5},{4}} => {{1,5},{2,3},{4}} => 2
>>> Load all 5987 entries. <<<[3,5,2,4,1] => {{1,3},{2,5},{4}} => {{1},{2,3,5},{4}} => {{1,5},{2,3},{4}} => 2
[3,5,4,1,2] => {{1,3,4},{2,5}} => {{1,5},{2,3,4}} => {{1},{2,5},{3},{4}} => 1
[3,5,4,2,1] => {{1,3,4},{2,5}} => {{1,5},{2,3,4}} => {{1},{2,5},{3},{4}} => 1
[4,1,2,3,5] => {{1,4},{2},{3},{5}} => {{1},{2},{3,4},{5}} => {{1,2,4,5},{3}} => 6
[4,1,2,5,3] => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => {{1,4,5},{2},{3}} => 3
[4,1,3,2,5] => {{1,4},{2},{3},{5}} => {{1},{2},{3,4},{5}} => {{1,2,4,5},{3}} => 6
[4,1,3,5,2] => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => {{1,4,5},{2},{3}} => 3
[4,1,5,2,3] => {{1,4},{2},{3,5}} => {{1,5},{2},{3,4}} => {{1},{2,4,5},{3}} => 3
[4,1,5,3,2] => {{1,4},{2},{3,5}} => {{1,5},{2},{3,4}} => {{1},{2,4,5},{3}} => 3
[4,2,1,3,5] => {{1,4},{2},{3},{5}} => {{1},{2},{3,4},{5}} => {{1,2,4,5},{3}} => 6
[4,2,1,5,3] => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => {{1,4,5},{2},{3}} => 3
[4,2,3,1,5] => {{1,4},{2},{3},{5}} => {{1},{2},{3,4},{5}} => {{1,2,4,5},{3}} => 6
[4,2,3,5,1] => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => {{1,4,5},{2},{3}} => 3
[4,2,5,1,3] => {{1,4},{2},{3,5}} => {{1,5},{2},{3,4}} => {{1},{2,4,5},{3}} => 3
[4,2,5,3,1] => {{1,4},{2},{3,5}} => {{1,5},{2},{3,4}} => {{1},{2,4,5},{3}} => 3
[4,3,1,2,5] => {{1,4},{2,3},{5}} => {{1,3,4},{2},{5}} => {{1,2},{3},{4,5}} => 2
[4,3,1,5,2] => {{1,4,5},{2,3}} => {{1,3,4,5},{2}} => {{1},{2},{3},{4,5}} => 1
[4,3,2,1,5] => {{1,4},{2,3},{5}} => {{1,3,4},{2},{5}} => {{1,2},{3},{4,5}} => 2
[4,3,2,5,1] => {{1,4,5},{2,3}} => {{1,3,4,5},{2}} => {{1},{2},{3},{4,5}} => 1
[4,3,5,1,2] => {{1,4},{2,3,5}} => {{1,3,4},{2,5}} => {{1,4},{2,5},{3}} => 2
[4,3,5,2,1] => {{1,4},{2,3,5}} => {{1,3,4},{2,5}} => {{1,4},{2,5},{3}} => 2
[4,5,1,2,3] => {{1,4},{2,5},{3}} => {{1},{2,5},{3,4}} => {{1,5},{2,4},{3}} => 2
[4,5,1,3,2] => {{1,4},{2,5},{3}} => {{1},{2,5},{3,4}} => {{1,5},{2,4},{3}} => 2
[4,5,2,1,3] => {{1,4},{2,5},{3}} => {{1},{2,5},{3,4}} => {{1,5},{2,4},{3}} => 2
[4,5,2,3,1] => {{1,4},{2,5},{3}} => {{1},{2,5},{3,4}} => {{1,5},{2,4},{3}} => 2
[4,5,3,1,2] => {{1,4},{2,5},{3}} => {{1},{2,5},{3,4}} => {{1,5},{2,4},{3}} => 2
[4,5,3,2,1] => {{1,4},{2,5},{3}} => {{1},{2,5},{3,4}} => {{1,5},{2,4},{3}} => 2
[5,1,2,3,4] => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => {{1,3,4,5},{2}} => 6
[5,1,2,4,3] => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => {{1,3,4,5},{2}} => 6
[5,1,3,2,4] => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => {{1,3,4,5},{2}} => 6
[5,1,3,4,2] => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => {{1,3,4,5},{2}} => 6
[5,1,4,2,3] => {{1,5},{2},{3,4}} => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => 3
[5,1,4,3,2] => {{1,5},{2},{3,4}} => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => 3
[5,2,1,3,4] => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => {{1,3,4,5},{2}} => 6
[5,2,1,4,3] => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => {{1,3,4,5},{2}} => 6
[5,2,3,1,4] => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => {{1,3,4,5},{2}} => 6
[5,2,3,4,1] => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => {{1,3,4,5},{2}} => 6
[5,2,4,1,3] => {{1,5},{2},{3,4}} => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => 3
[5,2,4,3,1] => {{1,5},{2},{3,4}} => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => 3
[5,3,1,2,4] => {{1,5},{2,3},{4}} => {{1,3},{2},{4,5}} => {{1,3},{2},{4,5}} => 2
[5,3,1,4,2] => {{1,5},{2,3},{4}} => {{1,3},{2},{4,5}} => {{1,3},{2},{4,5}} => 2
[5,3,2,1,4] => {{1,5},{2,3},{4}} => {{1,3},{2},{4,5}} => {{1,3},{2},{4,5}} => 2
[5,3,2,4,1] => {{1,5},{2,3},{4}} => {{1,3},{2},{4,5}} => {{1,3},{2},{4,5}} => 2
[5,3,4,1,2] => {{1,5},{2,3,4}} => {{1,3},{2,4,5}} => {{1,4},{2},{3,5}} => 2
[5,3,4,2,1] => {{1,5},{2,3,4}} => {{1,3},{2,4,5}} => {{1,4},{2},{3,5}} => 2
[5,4,1,2,3] => {{1,5},{2,4},{3}} => {{1},{2,4,5},{3}} => {{1,5},{2},{3,4}} => 2
[5,4,1,3,2] => {{1,5},{2,4},{3}} => {{1},{2,4,5},{3}} => {{1,5},{2},{3,4}} => 2
[5,4,2,1,3] => {{1,5},{2,4},{3}} => {{1},{2,4,5},{3}} => {{1,5},{2},{3,4}} => 2
[5,4,2,3,1] => {{1,5},{2,4},{3}} => {{1},{2,4,5},{3}} => {{1,5},{2},{3,4}} => 2
[5,4,3,1,2] => {{1,5},{2,4},{3}} => {{1},{2,4,5},{3}} => {{1,5},{2},{3,4}} => 2
[5,4,3,2,1] => {{1,5},{2,4},{3}} => {{1},{2,4,5},{3}} => {{1,5},{2},{3,4}} => 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}} => 15
[1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5}} => {{1},{2,3,4,5,6}} => 10
[1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6}} => {{1,2},{3,4,5,6}} => 7
[1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1,5},{2,6},{3},{4}} => {{1,3,4,5},{2,6}} => 7
[1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5}} => {{1,6},{2,3,4,5}} => 7
[1,2,3,6,5,4] => {{1},{2},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5}} => {{1,6},{2,3,4,5}} => 7
[1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6}} => {{1,2,3},{4,5,6}} => 6
[1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1,4},{2,6},{3},{5}} => {{1,4,5},{2,3,6}} => 6
[1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6}} => {{1,2,4,5},{3,6}} => 7
[1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => {{1,4},{2,5},{3,6}} => {{1,4},{2,5},{3,6}} => 3
[1,2,4,6,3,5] => {{1},{2},{3,4,6},{5}} => {{1,4},{2},{3,6},{5}} => {{1,4},{2,3,5,6}} => 7
[1,2,4,6,5,3] => {{1},{2},{3,4,6},{5}} => {{1,4},{2},{3,6},{5}} => {{1,4},{2,3,5,6}} => 7
[1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6}} => {{1,2,6},{3,4,5}} => 6
[1,2,5,3,6,4] => {{1},{2},{3,5,6},{4}} => {{1},{2,5},{3,6},{4}} => {{1,3,4,6},{2,5}} => 7
[1,2,5,4,3,6] => {{1},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6}} => {{1,2,6},{3,4,5}} => 6
[1,2,5,4,6,3] => {{1},{2},{3,5,6},{4}} => {{1},{2,5},{3,6},{4}} => {{1,3,4,6},{2,5}} => 7
[1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1,6},{2,5},{3},{4}} => {{1},{2,6},{3,4,5}} => 4
[1,2,5,6,4,3] => {{1},{2},{3,5},{4,6}} => {{1,6},{2,5},{3},{4}} => {{1},{2,6},{3,4,5}} => 4
[1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} => {{1,5,6},{2,3,4}} => 6
[1,2,6,3,5,4] => {{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} => {{1,5,6},{2,3,4}} => 6
[1,2,6,4,3,5] => {{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} => {{1,5,6},{2,3,4}} => 6
[1,2,6,4,5,3] => {{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} => {{1,5,6},{2,3,4}} => 6
[1,2,6,5,3,4] => {{1},{2},{3,6},{4,5}} => {{1,5},{2},{3,6},{4}} => {{1,3,4},{2,5,6}} => 6
[1,2,6,5,4,3] => {{1},{2},{3,6},{4,5}} => {{1,5},{2},{3,6},{4}} => {{1,3,4},{2,5,6}} => 6
[1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6}} => {{1,2,3,4},{5,6}} => 7
[1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1,3},{2,6},{4},{5}} => {{1,5},{2,3,4,6}} => 7
[1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6}} => {{1,2,5},{3,4,6}} => 6
[1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => {{1,3,6},{2,5},{4}} => {{1},{2,5},{3,4,6}} => 4
[1,3,2,6,4,5] => {{1},{2,3},{4,6},{5}} => {{1,3,6},{2},{4},{5}} => {{1},{2,3,4},{5,6}} => 4
[1,3,2,6,5,4] => {{1},{2,3},{4,6},{5}} => {{1,3,6},{2},{4},{5}} => {{1},{2,3,4},{5,6}} => 4
[1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6}} => {{1,2,3,5},{4,6}} => 7
[1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => {{1,3,6},{2,4},{5}} => {{1},{2,3,5},{4,6}} => 4
[1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => {{1,3,5},{2,4},{6}} => {{1,2},{3,5},{4,6}} => 3
[1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => {{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}} => 6
[1,3,4,6,2,5] => {{1},{2,3,4,6},{5}} => {{1,3},{2,4,6},{5}} => {{1,5},{2,3},{4,6}} => 3
[1,3,4,6,5,2] => {{1},{2,3,4,6},{5}} => {{1,3},{2,4,6},{5}} => {{1,5},{2,3},{4,6}} => 3
[1,3,5,2,4,6] => {{1},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6}} => {{1,2},{3,4},{5,6}} => 3
[1,3,5,2,6,4] => {{1},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6}} => {{1,3},{2,4},{5,6}} => 3
[1,3,5,4,2,6] => {{1},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6}} => {{1,2},{3,4},{5,6}} => 3
[1,3,5,4,6,2] => {{1},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6}} => {{1,3},{2,4},{5,6}} => 3
[1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => {{1,3,5},{2,6},{4}} => {{1,5},{2,6},{3,4}} => 3
[1,3,5,6,4,2] => {{1},{2,3,5},{4,6}} => {{1,3,5},{2,6},{4}} => {{1,5},{2,6},{3,4}} => 3
[1,3,6,2,4,5] => {{1},{2,3,6},{4},{5}} => {{1,3},{2},{4,6},{5}} => {{1,4},{2,3},{5,6}} => 3
[1,3,6,2,5,4] => {{1},{2,3,6},{4},{5}} => {{1,3},{2},{4,6},{5}} => {{1,4},{2,3},{5,6}} => 3
[1,3,6,4,2,5] => {{1},{2,3,6},{4},{5}} => {{1,3},{2},{4,6},{5}} => {{1,4},{2,3},{5,6}} => 3
[1,3,6,4,5,2] => {{1},{2,3,6},{4},{5}} => {{1,3},{2},{4,6},{5}} => {{1,4},{2,3},{5,6}} => 3
[1,3,6,5,2,4] => {{1},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6}} => {{1,3},{2,5},{4,6}} => 3
[1,3,6,5,4,2] => {{1},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6}} => {{1,3},{2,5},{4,6}} => 3
[1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6}} => {{1,2,3,6},{4,5}} => 7
[1,4,2,3,6,5] => {{1},{2,4},{3},{5,6}} => {{1,6},{2,4},{3},{5}} => {{1},{2,3,6},{4,5}} => 4
[1,4,2,5,3,6] => {{1},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6}} => {{1,2,4,6},{3,5}} => 7
[1,4,2,5,6,3] => {{1},{2,4,5,6},{3}} => {{1},{2,4,6},{3,5}} => {{1,6},{2,4},{3,5}} => 3
[1,4,2,6,3,5] => {{1},{2,4,6},{3},{5}} => {{1},{2,4,6},{3},{5}} => {{1,6},{2,3},{4,5}} => 3
[1,4,2,6,5,3] => {{1},{2,4,6},{3},{5}} => {{1},{2,4,6},{3},{5}} => {{1,6},{2,3},{4,5}} => 3
[1,4,3,2,5,6] => {{1},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6}} => {{1,2,3,6},{4,5}} => 7
[1,4,3,2,6,5] => {{1},{2,4},{3},{5,6}} => {{1,6},{2,4},{3},{5}} => {{1},{2,3,6},{4,5}} => 4
[1,4,3,5,2,6] => {{1},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6}} => {{1,2,4,6},{3,5}} => 7
[1,4,3,5,6,2] => {{1},{2,4,5,6},{3}} => {{1},{2,4,6},{3,5}} => {{1,6},{2,4},{3,5}} => 3
[1,4,3,6,2,5] => {{1},{2,4,6},{3},{5}} => {{1},{2,4,6},{3},{5}} => {{1,6},{2,3},{4,5}} => 3
[1,4,3,6,5,2] => {{1},{2,4,6},{3},{5}} => {{1},{2,4,6},{3},{5}} => {{1,6},{2,3},{4,5}} => 3
[1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6}} => {{1,2},{3,6},{4,5}} => 3
[1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6}} => {{1,4},{2,6},{3,5}} => 3
[1,4,5,3,2,6] => {{1},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6}} => {{1,2},{3,6},{4,5}} => 3
[1,4,5,3,6,2] => {{1},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6}} => {{1,4},{2,6},{3,5}} => 3
[1,4,5,6,2,3] => {{1},{2,4,6},{3,5}} => {{1,5},{2,4,6},{3}} => {{1,3},{2,6},{4,5}} => 3
[1,4,5,6,3,2] => {{1},{2,4,6},{3,5}} => {{1,5},{2,4,6},{3}} => {{1,3},{2,6},{4,5}} => 3
[1,4,6,2,3,5] => {{1},{2,4},{3,6},{5}} => {{1},{2,4},{3,6},{5}} => {{1,4,6},{2,3,5}} => 6
[1,4,6,2,5,3] => {{1},{2,4},{3,6},{5}} => {{1},{2,4},{3,6},{5}} => {{1,4,6},{2,3,5}} => 6
[1,4,6,3,2,5] => {{1},{2,4},{3,6},{5}} => {{1},{2,4},{3,6},{5}} => {{1,4,6},{2,3,5}} => 6
[1,4,6,3,5,2] => {{1},{2,4},{3,6},{5}} => {{1},{2,4},{3,6},{5}} => {{1,4,6},{2,3,5}} => 6
[1,4,6,5,2,3] => {{1},{2,4,5},{3,6}} => {{1,6},{2,4},{3,5}} => {{1},{2,4,6},{3,5}} => 4
[1,4,6,5,3,2] => {{1},{2,4,5},{3,6}} => {{1,6},{2,4},{3,5}} => {{1},{2,4,6},{3,5}} => 4
[1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6}} => {{1,2,5,6},{3,4}} => 7
[1,5,2,3,6,4] => {{1},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6}} => {{1,3,5,6},{2,4}} => 7
[1,5,2,4,3,6] => {{1},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6}} => {{1,2,5,6},{3,4}} => 7
[1,5,2,4,6,3] => {{1},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6}} => {{1,3,5,6},{2,4}} => 7
[1,5,2,6,3,4] => {{1},{2,5},{3},{4,6}} => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3,4}} => 4
[1,5,2,6,4,3] => {{1},{2,5},{3},{4,6}} => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3,4}} => 4
[1,5,3,2,4,6] => {{1},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6}} => {{1,2,5,6},{3,4}} => 7
[1,5,3,2,6,4] => {{1},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6}} => {{1,3,5,6},{2,4}} => 7
[1,5,3,4,2,6] => {{1},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6}} => {{1,2,5,6},{3,4}} => 7
[1,5,3,4,6,2] => {{1},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6}} => {{1,3,5,6},{2,4}} => 7
[1,5,3,6,2,4] => {{1},{2,5},{3},{4,6}} => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3,4}} => 4
[1,5,3,6,4,2] => {{1},{2,5},{3},{4,6}} => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3,4}} => 4
[1,5,4,2,3,6] => {{1},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6}} => {{1,2,4},{3,5,6}} => 6
[1,5,4,2,6,3] => {{1},{2,5,6},{3,4}} => {{1,4,6},{2},{3,5}} => {{1},{2,4},{3,5,6}} => 4
[1,5,4,3,2,6] => {{1},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6}} => {{1,2,4},{3,5,6}} => 6
[1,5,4,3,6,2] => {{1},{2,5,6},{3,4}} => {{1,4,6},{2},{3,5}} => {{1},{2,4},{3,5,6}} => 4
[1,5,4,6,2,3] => {{1},{2,5},{3,4,6}} => {{1,4},{2,6},{3,5}} => {{1,5},{2,4},{3,6}} => 3
[1,5,4,6,3,2] => {{1},{2,5},{3,4,6}} => {{1,4},{2,6},{3,5}} => {{1,5},{2,4},{3,6}} => 3
[1,5,6,2,3,4] => {{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => {{1,6},{2,5},{3,4}} => 3
[1,5,6,2,4,3] => {{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => {{1,6},{2,5},{3,4}} => 3
[1,5,6,3,2,4] => {{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => {{1,6},{2,5},{3,4}} => 3
[1,5,6,3,4,2] => {{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => {{1,6},{2,5},{3,4}} => 3
[1,5,6,4,2,3] => {{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => {{1,6},{2,5},{3,4}} => 3
[1,5,6,4,3,2] => {{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => {{1,6},{2,5},{3,4}} => 3
[1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}} => 7
[1,6,2,3,5,4] => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}} => 7
[1,6,2,4,3,5] => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}} => 7
[1,6,2,4,5,3] => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}} => 7
[1,6,2,5,3,4] => {{1},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6}} => {{1,3},{2,4,5,6}} => 7
[1,6,2,5,4,3] => {{1},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6}} => {{1,3},{2,4,5,6}} => 7
[1,6,3,2,4,5] => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}} => 7
[1,6,3,2,5,4] => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}} => 7
[1,6,3,4,2,5] => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}} => 7
[1,6,3,4,5,2] => {{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}} => 7
[1,6,3,5,2,4] => {{1},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6}} => {{1,3},{2,4,5,6}} => 7
[1,6,3,5,4,2] => {{1},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6}} => {{1,3},{2,4,5,6}} => 7
[1,6,4,2,3,5] => {{1},{2,6},{3,4},{5}} => {{1,4,6},{2},{3},{5}} => {{1},{2,3},{4,5,6}} => 4
[1,6,4,2,5,3] => {{1},{2,6},{3,4},{5}} => {{1,4,6},{2},{3},{5}} => {{1},{2,3},{4,5,6}} => 4
[1,6,4,3,2,5] => {{1},{2,6},{3,4},{5}} => {{1,4,6},{2},{3},{5}} => {{1},{2,3},{4,5,6}} => 4
[1,6,4,3,5,2] => {{1},{2,6},{3,4},{5}} => {{1,4,6},{2},{3},{5}} => {{1},{2,3},{4,5,6}} => 4
[1,6,4,5,2,3] => {{1},{2,6},{3,4,5}} => {{1,4,6},{2,5},{3}} => {{1},{2,4,5},{3,6}} => 4
[1,6,4,5,3,2] => {{1},{2,6},{3,4,5}} => {{1,4,6},{2,5},{3}} => {{1},{2,4,5},{3,6}} => 4
[1,6,5,2,3,4] => {{1},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6}} => {{1,3,6},{2,4,5}} => 6
[1,6,5,2,4,3] => {{1},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6}} => {{1,3,6},{2,4,5}} => 6
[1,6,5,3,2,4] => {{1},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6}} => {{1,3,6},{2,4,5}} => 6
[1,6,5,3,4,2] => {{1},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6}} => {{1,3,6},{2,4,5}} => 6
[1,6,5,4,2,3] => {{1},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6}} => {{1,3,6},{2,4,5}} => 6
[1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6}} => {{1,3,6},{2,4,5}} => 6
[2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6}} => {{1,2,3,4,5},{6}} => 10
[2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => {{1,2,6},{3},{4},{5}} => {{1},{2,3,4,5},{6}} => 6
[2,1,3,5,4,6] => {{1,2},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6}} => {{1,2},{3,4,5},{6}} => 4
[2,1,3,5,6,4] => {{1,2},{3},{4,5,6}} => {{1,2,5},{3,6},{4}} => {{1,3,4},{2,5},{6}} => 4
[2,1,3,6,4,5] => {{1,2},{3},{4,6},{5}} => {{1,2},{3,6},{4},{5}} => {{1,5},{2,3,4},{6}} => 4
[2,1,3,6,5,4] => {{1,2},{3},{4,6},{5}} => {{1,2},{3,6},{4},{5}} => {{1,5},{2,3,4},{6}} => 4
[2,1,4,3,5,6] => {{1,2},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6}} => {{1,2,3},{4,5},{6}} => 4
[2,1,4,3,6,5] => {{1,2},{3,4},{5,6}} => {{1,2,4},{3,6},{5}} => {{1,4},{2,3,5},{6}} => 4
[2,1,4,5,3,6] => {{1,2},{3,4,5},{6}} => {{1,2,4},{3,5},{6}} => {{1,2,4},{3,5},{6}} => 4
[2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => {{1,2,4,6},{3,5}} => {{1},{2,4},{3,5},{6}} => 2
[2,1,4,6,3,5] => {{1,2},{3,4,6},{5}} => {{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}} => 2
[2,1,4,6,5,3] => {{1,2},{3,4,6},{5}} => {{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}} => 2
[2,1,5,3,4,6] => {{1,2},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6}} => {{1,2,5},{3,4},{6}} => 4
[2,1,5,3,6,4] => {{1,2},{3,5,6},{4}} => {{1,2},{3,5},{4,6}} => {{1,3,5},{2,4},{6}} => 4
[2,1,5,4,3,6] => {{1,2},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6}} => {{1,2,5},{3,4},{6}} => 4
[2,1,5,4,6,3] => {{1,2},{3,5,6},{4}} => {{1,2},{3,5},{4,6}} => {{1,3,5},{2,4},{6}} => 4
[2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => {{1,2,6},{3,5},{4}} => {{1},{2,5},{3,4},{6}} => 2
[2,1,5,6,4,3] => {{1,2},{3,5},{4,6}} => {{1,2,6},{3,5},{4}} => {{1},{2,5},{3,4},{6}} => 2
[2,1,6,3,4,5] => {{1,2},{3,6},{4},{5}} => {{1,2},{3},{4,6},{5}} => {{1,4,5},{2,3},{6}} => 4
[2,1,6,3,5,4] => {{1,2},{3,6},{4},{5}} => {{1,2},{3},{4,6},{5}} => {{1,4,5},{2,3},{6}} => 4
[2,1,6,4,3,5] => {{1,2},{3,6},{4},{5}} => {{1,2},{3},{4,6},{5}} => {{1,4,5},{2,3},{6}} => 4
[2,1,6,4,5,3] => {{1,2},{3,6},{4},{5}} => {{1,2},{3},{4,6},{5}} => {{1,4,5},{2,3},{6}} => 4
[2,1,6,5,3,4] => {{1,2},{3,6},{4,5}} => {{1,2,5},{3},{4,6}} => {{1,3},{2,4,5},{6}} => 4
[2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => {{1,2,5},{3},{4,6}} => {{1,3},{2,4,5},{6}} => 4
[2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => {{1,2,3},{4},{5},{6}} => {{1,2,3,4},{5},{6}} => 6
[2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} => {{1,2,3,6},{4},{5}} => {{1},{2,3,4},{5},{6}} => 3
[2,3,1,5,4,6] => {{1,2,3},{4,5},{6}} => {{1,2,3,5},{4},{6}} => {{1,2},{3,4},{5},{6}} => 2
[2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => {{1,2,3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => 2
[2,3,1,6,4,5] => {{1,2,3},{4,6},{5}} => {{1,2,3},{4,6},{5}} => {{1,4},{2,3},{5},{6}} => 2
[2,3,1,6,5,4] => {{1,2,3},{4,6},{5}} => {{1,2,3},{4,6},{5}} => {{1,4},{2,3},{5},{6}} => 2
[2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => {{1,2,3,4},{5},{6}} => {{1,2,3},{4},{5},{6}} => 3
[2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[2,3,4,5,6,1] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[2,3,4,6,1,5] => {{1,2,3,4,6},{5}} => {{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}} => 1
[2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => {{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}} => 1
[2,3,5,1,4,6] => {{1,2,3,5},{4},{6}} => {{1,2,3},{4,5},{6}} => {{1,2,4},{3},{5},{6}} => 3
[2,3,5,1,6,4] => {{1,2,3,5,6},{4}} => {{1,2,3},{4,5,6}} => {{1,4},{2},{3},{5},{6}} => 1
[2,3,5,4,1,6] => {{1,2,3,5},{4},{6}} => {{1,2,3},{4,5},{6}} => {{1,2,4},{3},{5},{6}} => 3
[2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => {{1,2,3},{4,5,6}} => {{1,4},{2},{3},{5},{6}} => 1
[2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => {{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}} => 1
[2,3,5,6,4,1] => {{1,2,3,5},{4,6}} => {{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}} => 1
[2,3,6,1,4,5] => {{1,2,3,6},{4},{5}} => {{1,2,3},{4},{5,6}} => {{1,3,4},{2},{5},{6}} => 3
[2,3,6,1,5,4] => {{1,2,3,6},{4},{5}} => {{1,2,3},{4},{5,6}} => {{1,3,4},{2},{5},{6}} => 3
[2,3,6,4,1,5] => {{1,2,3,6},{4},{5}} => {{1,2,3},{4},{5,6}} => {{1,3,4},{2},{5},{6}} => 3
[2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => {{1,2,3},{4},{5,6}} => {{1,3,4},{2},{5},{6}} => 3
[2,3,6,5,1,4] => {{1,2,3,6},{4,5}} => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[2,4,1,3,5,6] => {{1,2,4},{3},{5},{6}} => {{1,2},{3,4},{5},{6}} => {{1,2,3,5},{4},{6}} => 6
[2,4,1,3,6,5] => {{1,2,4},{3},{5,6}} => {{1,2,6},{3,4},{5}} => {{1},{2,3,5},{4},{6}} => 3
[2,4,1,5,3,6] => {{1,2,4,5},{3},{6}} => {{1,2},{3,4,5},{6}} => {{1,2,5},{3},{4},{6}} => 3
[2,4,1,5,6,3] => {{1,2,4,5,6},{3}} => {{1,2},{3,4,5,6}} => {{1,5},{2},{3},{4},{6}} => 1
[2,4,1,6,3,5] => {{1,2,4,6},{3},{5}} => {{1,2},{3,4},{5,6}} => {{1,3,5},{2},{4},{6}} => 3
[2,4,1,6,5,3] => {{1,2,4,6},{3},{5}} => {{1,2},{3,4},{5,6}} => {{1,3,5},{2},{4},{6}} => 3
[2,4,3,1,5,6] => {{1,2,4},{3},{5},{6}} => {{1,2},{3,4},{5},{6}} => {{1,2,3,5},{4},{6}} => 6
[2,4,3,1,6,5] => {{1,2,4},{3},{5,6}} => {{1,2,6},{3,4},{5}} => {{1},{2,3,5},{4},{6}} => 3
[2,4,3,5,1,6] => {{1,2,4,5},{3},{6}} => {{1,2},{3,4,5},{6}} => {{1,2,5},{3},{4},{6}} => 3
[2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => {{1,2},{3,4,5,6}} => {{1,5},{2},{3},{4},{6}} => 1
[2,4,3,6,1,5] => {{1,2,4,6},{3},{5}} => {{1,2},{3,4},{5,6}} => {{1,3,5},{2},{4},{6}} => 3
[2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => {{1,2},{3,4},{5,6}} => {{1,3,5},{2},{4},{6}} => 3
[2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => {{1,2,5},{3,4},{6}} => {{1,2},{3,5},{4},{6}} => 2
[2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => {{1,2,5},{3,4,6}} => {{1,3},{2,5},{4},{6}} => 2
[2,4,5,3,1,6] => {{1,2,4},{3,5},{6}} => {{1,2,5},{3,4},{6}} => {{1,2},{3,5},{4},{6}} => 2
[2,4,5,3,6,1] => {{1,2,4},{3,5,6}} => {{1,2,5},{3,4,6}} => {{1,3},{2,5},{4},{6}} => 2
[2,4,5,6,1,3] => {{1,2,4,6},{3,5}} => {{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}} => 1
[2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => {{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}} => 1
[2,4,6,1,3,5] => {{1,2,4},{3,6},{5}} => {{1,2},{3,4,6},{5}} => {{1,5},{2,3},{4},{6}} => 2
[2,4,6,1,5,3] => {{1,2,4},{3,6},{5}} => {{1,2},{3,4,6},{5}} => {{1,5},{2,3},{4},{6}} => 2
[2,4,6,3,1,5] => {{1,2,4},{3,6},{5}} => {{1,2},{3,4,6},{5}} => {{1,5},{2,3},{4},{6}} => 2
[2,4,6,3,5,1] => {{1,2,4},{3,6},{5}} => {{1,2},{3,4,6},{5}} => {{1,5},{2,3},{4},{6}} => 2
[2,4,6,5,1,3] => {{1,2,4,5},{3,6}} => {{1,2,6},{3,4,5}} => {{1},{2,5},{3},{4},{6}} => 1
[2,4,6,5,3,1] => {{1,2,4,5},{3,6}} => {{1,2,6},{3,4,5}} => {{1},{2,5},{3},{4},{6}} => 1
[2,5,1,3,4,6] => {{1,2,5},{3},{4},{6}} => {{1,2},{3},{4,5},{6}} => {{1,2,4,5},{3},{6}} => 6
[2,5,1,3,6,4] => {{1,2,5,6},{3},{4}} => {{1,2},{3},{4,5,6}} => {{1,4,5},{2},{3},{6}} => 3
[2,5,1,4,3,6] => {{1,2,5},{3},{4},{6}} => {{1,2},{3},{4,5},{6}} => {{1,2,4,5},{3},{6}} => 6
[2,5,1,4,6,3] => {{1,2,5,6},{3},{4}} => {{1,2},{3},{4,5,6}} => {{1,4,5},{2},{3},{6}} => 3
[2,5,1,6,3,4] => {{1,2,5},{3},{4,6}} => {{1,2,6},{3},{4,5}} => {{1},{2,4,5},{3},{6}} => 3
[2,5,1,6,4,3] => {{1,2,5},{3},{4,6}} => {{1,2,6},{3},{4,5}} => {{1},{2,4,5},{3},{6}} => 3
[2,5,3,1,4,6] => {{1,2,5},{3},{4},{6}} => {{1,2},{3},{4,5},{6}} => {{1,2,4,5},{3},{6}} => 6
[2,5,3,1,6,4] => {{1,2,5,6},{3},{4}} => {{1,2},{3},{4,5,6}} => {{1,4,5},{2},{3},{6}} => 3
[2,5,3,4,1,6] => {{1,2,5},{3},{4},{6}} => {{1,2},{3},{4,5},{6}} => {{1,2,4,5},{3},{6}} => 6
[2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => {{1,2},{3},{4,5,6}} => {{1,4,5},{2},{3},{6}} => 3
[2,5,3,6,1,4] => {{1,2,5},{3},{4,6}} => {{1,2,6},{3},{4,5}} => {{1},{2,4,5},{3},{6}} => 3
[2,5,3,6,4,1] => {{1,2,5},{3},{4,6}} => {{1,2,6},{3},{4,5}} => {{1},{2,4,5},{3},{6}} => 3
[2,5,4,1,3,6] => {{1,2,5},{3,4},{6}} => {{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}} => 2
[2,5,4,1,6,3] => {{1,2,5,6},{3,4}} => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[2,5,4,3,1,6] => {{1,2,5},{3,4},{6}} => {{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}} => 2
[2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[2,5,4,6,1,3] => {{1,2,5},{3,4,6}} => {{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}} => 2
[2,5,4,6,3,1] => {{1,2,5},{3,4,6}} => {{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}} => 2
[2,5,6,1,3,4] => {{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}} => {{1,5},{2,4},{3},{6}} => 2
[2,5,6,1,4,3] => {{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}} => {{1,5},{2,4},{3},{6}} => 2
[2,5,6,3,1,4] => {{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}} => {{1,5},{2,4},{3},{6}} => 2
[2,5,6,3,4,1] => {{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}} => {{1,5},{2,4},{3},{6}} => 2
[2,5,6,4,1,3] => {{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}} => {{1,5},{2,4},{3},{6}} => 2
[2,5,6,4,3,1] => {{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}} => {{1,5},{2,4},{3},{6}} => 2
[2,6,1,3,4,5] => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}} => 6
[2,6,1,3,5,4] => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}} => 6
[2,6,1,4,3,5] => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}} => 6
[2,6,1,4,5,3] => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}} => 6
[2,6,1,5,3,4] => {{1,2,6},{3},{4,5}} => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 3
[2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 3
[2,6,3,1,4,5] => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}} => 6
[2,6,3,1,5,4] => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}} => 6
[2,6,3,4,1,5] => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}} => 6
[2,6,3,4,5,1] => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}} => 6
[2,6,3,5,1,4] => {{1,2,6},{3},{4,5}} => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 3
[2,6,3,5,4,1] => {{1,2,6},{3},{4,5}} => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 3
[2,6,4,1,3,5] => {{1,2,6},{3,4},{5}} => {{1,2,4},{3},{5,6}} => {{1,3},{2},{4,5},{6}} => 2
[2,6,4,1,5,3] => {{1,2,6},{3,4},{5}} => {{1,2,4},{3},{5,6}} => {{1,3},{2},{4,5},{6}} => 2
[2,6,4,3,1,5] => {{1,2,6},{3,4},{5}} => {{1,2,4},{3},{5,6}} => {{1,3},{2},{4,5},{6}} => 2
[2,6,4,3,5,1] => {{1,2,6},{3,4},{5}} => {{1,2,4},{3},{5,6}} => {{1,3},{2},{4,5},{6}} => 2
[2,6,4,5,1,3] => {{1,2,6},{3,4,5}} => {{1,2,4},{3,5,6}} => {{1,4},{2},{3,5},{6}} => 2
[2,6,4,5,3,1] => {{1,2,6},{3,4,5}} => {{1,2,4},{3,5,6}} => {{1,4},{2},{3,5},{6}} => 2
[2,6,5,1,3,4] => {{1,2,6},{3,5},{4}} => {{1,2},{3,5,6},{4}} => {{1,5},{2},{3,4},{6}} => 2
[2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => {{1,2},{3,5,6},{4}} => {{1,5},{2},{3,4},{6}} => 2
[2,6,5,3,1,4] => {{1,2,6},{3,5},{4}} => {{1,2},{3,5,6},{4}} => {{1,5},{2},{3,4},{6}} => 2
[2,6,5,3,4,1] => {{1,2,6},{3,5},{4}} => {{1,2},{3,5,6},{4}} => {{1,5},{2},{3,4},{6}} => 2
[2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => {{1,2},{3,5,6},{4}} => {{1,5},{2},{3,4},{6}} => 2
[2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => {{1,2},{3,5,6},{4}} => {{1,5},{2},{3,4},{6}} => 2
[3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}} => {{1,2,3,4,6},{5}} => 10
[3,1,2,4,6,5] => {{1,3},{2},{4},{5,6}} => {{1,6},{2,3},{4},{5}} => {{1},{2,3,4,6},{5}} => 6
[3,1,2,5,4,6] => {{1,3},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6}} => {{1,2},{3,4,6},{5}} => 4
[3,1,2,5,6,4] => {{1,3},{2},{4,5,6}} => {{1,5},{2,3,6},{4}} => {{1,3,4},{2,6},{5}} => 4
[3,1,2,6,4,5] => {{1,3},{2},{4,6},{5}} => {{1},{2,3,6},{4},{5}} => {{1,6},{2,3,4},{5}} => 4
[3,1,2,6,5,4] => {{1,3},{2},{4,6},{5}} => {{1},{2,3,6},{4},{5}} => {{1,6},{2,3,4},{5}} => 4
[3,1,4,2,5,6] => {{1,3,4},{2},{5},{6}} => {{1},{2,3,4},{5},{6}} => {{1,2,3,6},{4},{5}} => 6
[3,1,4,2,6,5] => {{1,3,4},{2},{5,6}} => {{1,6},{2,3,4},{5}} => {{1},{2,3,6},{4},{5}} => 3
[3,1,4,5,2,6] => {{1,3,4,5},{2},{6}} => {{1},{2,3,4,5},{6}} => {{1,2,6},{3},{4},{5}} => 3
[3,1,4,5,6,2] => {{1,3,4,5,6},{2}} => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[3,1,4,6,2,5] => {{1,3,4,6},{2},{5}} => {{1},{2,3,4},{5,6}} => {{1,3,6},{2},{4},{5}} => 3
[3,1,4,6,5,2] => {{1,3,4,6},{2},{5}} => {{1},{2,3,4},{5,6}} => {{1,3,6},{2},{4},{5}} => 3
[3,1,5,2,4,6] => {{1,3,5},{2},{4},{6}} => {{1},{2,3},{4,5},{6}} => {{1,2,4,6},{3},{5}} => 6
[3,1,5,2,6,4] => {{1,3,5,6},{2},{4}} => {{1},{2,3},{4,5,6}} => {{1,4,6},{2},{3},{5}} => 3
[3,1,5,4,2,6] => {{1,3,5},{2},{4},{6}} => {{1},{2,3},{4,5},{6}} => {{1,2,4,6},{3},{5}} => 6
[3,1,5,4,6,2] => {{1,3,5,6},{2},{4}} => {{1},{2,3},{4,5,6}} => {{1,4,6},{2},{3},{5}} => 3
[3,1,5,6,2,4] => {{1,3,5},{2},{4,6}} => {{1,6},{2,3},{4,5}} => {{1},{2,4,6},{3},{5}} => 3
[3,1,5,6,4,2] => {{1,3,5},{2},{4,6}} => {{1,6},{2,3},{4,5}} => {{1},{2,4,6},{3},{5}} => 3
[3,1,6,2,4,5] => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}} => 6
[3,1,6,2,5,4] => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}} => 6
[3,1,6,4,2,5] => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}} => 6
[3,1,6,4,5,2] => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}} => 6
[3,1,6,5,2,4] => {{1,3,6},{2},{4,5}} => {{1,5,6},{2,3},{4}} => {{1},{2},{3,4,6},{5}} => 3
[3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => {{1,5,6},{2,3},{4}} => {{1},{2},{3,4,6},{5}} => 3
[3,2,1,4,5,6] => {{1,3},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}} => {{1,2,3,4,6},{5}} => 10
[3,2,1,4,6,5] => {{1,3},{2},{4},{5,6}} => {{1,6},{2,3},{4},{5}} => {{1},{2,3,4,6},{5}} => 6
[3,2,1,5,4,6] => {{1,3},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6}} => {{1,2},{3,4,6},{5}} => 4
[3,2,1,5,6,4] => {{1,3},{2},{4,5,6}} => {{1,5},{2,3,6},{4}} => {{1,3,4},{2,6},{5}} => 4
[3,2,1,6,4,5] => {{1,3},{2},{4,6},{5}} => {{1},{2,3,6},{4},{5}} => {{1,6},{2,3,4},{5}} => 4
[3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => {{1},{2,3,6},{4},{5}} => {{1,6},{2,3,4},{5}} => 4
[3,2,4,1,5,6] => {{1,3,4},{2},{5},{6}} => {{1},{2,3,4},{5},{6}} => {{1,2,3,6},{4},{5}} => 6
[3,2,4,1,6,5] => {{1,3,4},{2},{5,6}} => {{1,6},{2,3,4},{5}} => {{1},{2,3,6},{4},{5}} => 3
[3,2,4,5,1,6] => {{1,3,4,5},{2},{6}} => {{1},{2,3,4,5},{6}} => {{1,2,6},{3},{4},{5}} => 3
[3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[3,2,4,6,1,5] => {{1,3,4,6},{2},{5}} => {{1},{2,3,4},{5,6}} => {{1,3,6},{2},{4},{5}} => 3
[3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => {{1},{2,3,4},{5,6}} => {{1,3,6},{2},{4},{5}} => 3
[3,2,5,1,4,6] => {{1,3,5},{2},{4},{6}} => {{1},{2,3},{4,5},{6}} => {{1,2,4,6},{3},{5}} => 6
[3,2,5,1,6,4] => {{1,3,5,6},{2},{4}} => {{1},{2,3},{4,5,6}} => {{1,4,6},{2},{3},{5}} => 3
[3,2,5,4,1,6] => {{1,3,5},{2},{4},{6}} => {{1},{2,3},{4,5},{6}} => {{1,2,4,6},{3},{5}} => 6
[3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => {{1},{2,3},{4,5,6}} => {{1,4,6},{2},{3},{5}} => 3
[3,2,5,6,1,4] => {{1,3,5},{2},{4,6}} => {{1,6},{2,3},{4,5}} => {{1},{2,4,6},{3},{5}} => 3
[3,2,5,6,4,1] => {{1,3,5},{2},{4,6}} => {{1,6},{2,3},{4,5}} => {{1},{2,4,6},{3},{5}} => 3
[3,2,6,1,4,5] => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}} => 6
[3,2,6,1,5,4] => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}} => 6
[3,2,6,4,1,5] => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}} => 6
[3,2,6,4,5,1] => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}} => 6
[3,2,6,5,1,4] => {{1,3,6},{2},{4,5}} => {{1,5,6},{2,3},{4}} => {{1},{2},{3,4,6},{5}} => 3
[3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => {{1,5,6},{2,3},{4}} => {{1},{2},{3,4,6},{5}} => 3
[3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6}} => {{1,2,3},{4,6},{5}} => 4
[3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => {{1,4},{2,3,6},{5}} => {{1,4},{2,3,6},{5}} => 4
[3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => {{1,4},{2,3,5},{6}} => {{1,2,4},{3,6},{5}} => 4
[3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => {{1,4,6},{2,3,5}} => {{1},{2,4},{3,6},{5}} => 2
[3,4,1,6,2,5] => {{1,3},{2,4,6},{5}} => {{1,4,6},{2,3},{5}} => {{1},{2,3},{4,6},{5}} => 2
[3,4,1,6,5,2] => {{1,3},{2,4,6},{5}} => {{1,4,6},{2,3},{5}} => {{1},{2,3},{4,6},{5}} => 2
[3,4,2,1,5,6] => {{1,3},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6}} => {{1,2,3},{4,6},{5}} => 4
[3,4,2,1,6,5] => {{1,3},{2,4},{5,6}} => {{1,4},{2,3,6},{5}} => {{1,4},{2,3,6},{5}} => 4
[3,4,2,5,1,6] => {{1,3},{2,4,5},{6}} => {{1,4},{2,3,5},{6}} => {{1,2,4},{3,6},{5}} => 4
[3,4,2,5,6,1] => {{1,3},{2,4,5,6}} => {{1,4,6},{2,3,5}} => {{1},{2,4},{3,6},{5}} => 2
[3,4,2,6,1,5] => {{1,3},{2,4,6},{5}} => {{1,4,6},{2,3},{5}} => {{1},{2,3},{4,6},{5}} => 2
[3,4,2,6,5,1] => {{1,3},{2,4,6},{5}} => {{1,4,6},{2,3},{5}} => {{1},{2,3},{4,6},{5}} => 2
[3,4,5,1,2,6] => {{1,3,5},{2,4},{6}} => {{1,4,5},{2,3},{6}} => {{1,2},{3},{4,6},{5}} => 2
[3,4,5,1,6,2] => {{1,3,5,6},{2,4}} => {{1,4,5,6},{2,3}} => {{1},{2},{3},{4,6},{5}} => 1
[3,4,5,2,1,6] => {{1,3,5},{2,4},{6}} => {{1,4,5},{2,3},{6}} => {{1,2},{3},{4,6},{5}} => 2
[3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => {{1,4,5,6},{2,3}} => {{1},{2},{3},{4,6},{5}} => 1
[3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => {{1,4,5},{2,3,6}} => {{1,4},{2,6},{3},{5}} => 2
[3,4,5,6,2,1] => {{1,3,5},{2,4,6}} => {{1,4,5},{2,3,6}} => {{1,4},{2,6},{3},{5}} => 2
[3,4,6,1,2,5] => {{1,3,6},{2,4},{5}} => {{1,4},{2,3},{5,6}} => {{1,3},{2},{4,6},{5}} => 2
[3,4,6,1,5,2] => {{1,3,6},{2,4},{5}} => {{1,4},{2,3},{5,6}} => {{1,3},{2},{4,6},{5}} => 2
[3,4,6,2,1,5] => {{1,3,6},{2,4},{5}} => {{1,4},{2,3},{5,6}} => {{1,3},{2},{4,6},{5}} => 2
[3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => {{1,4},{2,3},{5,6}} => {{1,3},{2},{4,6},{5}} => 2
[3,4,6,5,1,2] => {{1,3,6},{2,4,5}} => {{1,4},{2,3,5,6}} => {{1,4},{2},{3,6},{5}} => 2
[3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => {{1,4},{2,3,5,6}} => {{1,4},{2},{3,6},{5}} => 2
[3,5,1,2,4,6] => {{1,3},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6}} => {{1,2,6},{3,4},{5}} => 4
[3,5,1,2,6,4] => {{1,3},{2,5,6},{4}} => {{1},{2,3,5},{4,6}} => {{1,3,6},{2,4},{5}} => 4
[3,5,1,4,2,6] => {{1,3},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6}} => {{1,2,6},{3,4},{5}} => 4
[3,5,1,4,6,2] => {{1,3},{2,5,6},{4}} => {{1},{2,3,5},{4,6}} => {{1,3,6},{2,4},{5}} => 4
[3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => {{1,6},{2,3,5},{4}} => {{1},{2,6},{3,4},{5}} => 2
[3,5,1,6,4,2] => {{1,3},{2,5},{4,6}} => {{1,6},{2,3,5},{4}} => {{1},{2,6},{3,4},{5}} => 2
[3,5,2,1,4,6] => {{1,3},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6}} => {{1,2,6},{3,4},{5}} => 4
[3,5,2,1,6,4] => {{1,3},{2,5,6},{4}} => {{1},{2,3,5},{4,6}} => {{1,3,6},{2,4},{5}} => 4
[3,5,2,4,1,6] => {{1,3},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6}} => {{1,2,6},{3,4},{5}} => 4
[3,5,2,4,6,1] => {{1,3},{2,5,6},{4}} => {{1},{2,3,5},{4,6}} => {{1,3,6},{2,4},{5}} => 4
[3,5,2,6,1,4] => {{1,3},{2,5},{4,6}} => {{1,6},{2,3,5},{4}} => {{1},{2,6},{3,4},{5}} => 2
[3,5,2,6,4,1] => {{1,3},{2,5},{4,6}} => {{1,6},{2,3,5},{4}} => {{1},{2,6},{3,4},{5}} => 2
[3,5,4,1,2,6] => {{1,3,4},{2,5},{6}} => {{1,5},{2,3,4},{6}} => {{1,2},{3,6},{4},{5}} => 2
[3,5,4,1,6,2] => {{1,3,4},{2,5,6}} => {{1,5},{2,3,4,6}} => {{1,3},{2,6},{4},{5}} => 2
[3,5,4,2,1,6] => {{1,3,4},{2,5},{6}} => {{1,5},{2,3,4},{6}} => {{1,2},{3,6},{4},{5}} => 2
[3,5,4,2,6,1] => {{1,3,4},{2,5,6}} => {{1,5},{2,3,4,6}} => {{1,3},{2,6},{4},{5}} => 2
[3,5,4,6,1,2] => {{1,3,4,6},{2,5}} => {{1,5,6},{2,3,4}} => {{1},{2},{3,6},{4},{5}} => 1
[3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => {{1,5,6},{2,3,4}} => {{1},{2},{3,6},{4},{5}} => 1
[3,5,6,1,2,4] => {{1,3,6},{2,5},{4}} => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[3,5,6,1,4,2] => {{1,3,6},{2,5},{4}} => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[3,5,6,2,1,4] => {{1,3,6},{2,5},{4}} => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[3,5,6,2,4,1] => {{1,3,6},{2,5},{4}} => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[3,5,6,4,1,2] => {{1,3,6},{2,5},{4}} => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[3,6,1,2,4,5] => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}} => 4
[3,6,1,2,5,4] => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}} => 4
[3,6,1,4,2,5] => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}} => 4
[3,6,1,4,5,2] => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}} => 4
[3,6,1,5,2,4] => {{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} => {{1,3},{2,4,6},{5}} => 4
[3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} => {{1,3},{2,4,6},{5}} => 4
[3,6,2,1,4,5] => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}} => 4
[3,6,2,1,5,4] => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}} => 4
[3,6,2,4,1,5] => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}} => 4
[3,6,2,4,5,1] => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}} => 4
[3,6,2,5,1,4] => {{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} => {{1,3},{2,4,6},{5}} => 4
[3,6,2,5,4,1] => {{1,3},{2,6},{4,5}} => {{1,5},{2,3},{4,6}} => {{1,3},{2,4,6},{5}} => 4
[3,6,4,1,2,5] => {{1,3,4},{2,6},{5}} => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[3,6,4,1,5,2] => {{1,3,4},{2,6},{5}} => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[3,6,4,2,1,5] => {{1,3,4},{2,6},{5}} => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[3,6,4,2,5,1] => {{1,3,4},{2,6},{5}} => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[3,6,4,5,1,2] => {{1,3,4,5},{2,6}} => {{1,6},{2,3,4,5}} => {{1},{2,6},{3},{4},{5}} => 1
[3,6,4,5,2,1] => {{1,3,4,5},{2,6}} => {{1,6},{2,3,4,5}} => {{1},{2,6},{3},{4},{5}} => 1
[3,6,5,1,2,4] => {{1,3,5},{2,6},{4}} => {{1},{2,3,6},{4,5}} => {{1,6},{2,4},{3},{5}} => 2
[3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => {{1},{2,3,6},{4,5}} => {{1,6},{2,4},{3},{5}} => 2
[3,6,5,2,1,4] => {{1,3,5},{2,6},{4}} => {{1},{2,3,6},{4,5}} => {{1,6},{2,4},{3},{5}} => 2
[3,6,5,2,4,1] => {{1,3,5},{2,6},{4}} => {{1},{2,3,6},{4,5}} => {{1,6},{2,4},{3},{5}} => 2
[3,6,5,4,1,2] => {{1,3,5},{2,6},{4}} => {{1},{2,3,6},{4,5}} => {{1,6},{2,4},{3},{5}} => 2
[3,6,5,4,2,1] => {{1,3,5},{2,6},{4}} => {{1},{2,3,6},{4,5}} => {{1,6},{2,4},{3},{5}} => 2
[4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6}} => {{1,2,3,5,6},{4}} => 10
[4,1,2,3,6,5] => {{1,4},{2},{3},{5,6}} => {{1,6},{2},{3,4},{5}} => {{1},{2,3,5,6},{4}} => 6
[4,1,2,5,3,6] => {{1,4,5},{2},{3},{6}} => {{1},{2},{3,4,5},{6}} => {{1,2,5,6},{3},{4}} => 6
[4,1,2,5,6,3] => {{1,4,5,6},{2},{3}} => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 3
[4,1,2,6,3,5] => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}} => 6
[4,1,2,6,5,3] => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}} => 6
[4,1,3,2,5,6] => {{1,4},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6}} => {{1,2,3,5,6},{4}} => 10
[4,1,3,2,6,5] => {{1,4},{2},{3},{5,6}} => {{1,6},{2},{3,4},{5}} => {{1},{2,3,5,6},{4}} => 6
[4,1,3,5,2,6] => {{1,4,5},{2},{3},{6}} => {{1},{2},{3,4,5},{6}} => {{1,2,5,6},{3},{4}} => 6
[4,1,3,5,6,2] => {{1,4,5,6},{2},{3}} => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 3
[4,1,3,6,2,5] => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}} => 6
[4,1,3,6,5,2] => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}} => 6
[4,1,5,2,3,6] => {{1,4},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6}} => {{1,2},{3,5,6},{4}} => 4
[4,1,5,2,6,3] => {{1,4},{2},{3,5,6}} => {{1,5},{2,6},{3,4}} => {{1,3,5},{2,6},{4}} => 4
[4,1,5,3,2,6] => {{1,4},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6}} => {{1,2},{3,5,6},{4}} => 4
[4,1,5,3,6,2] => {{1,4},{2},{3,5,6}} => {{1,5},{2,6},{3,4}} => {{1,3,5},{2,6},{4}} => 4
[4,1,5,6,2,3] => {{1,4,6},{2},{3,5}} => {{1,5,6},{2},{3,4}} => {{1},{2},{3,5,6},{4}} => 3
[4,1,5,6,3,2] => {{1,4,6},{2},{3,5}} => {{1,5,6},{2},{3,4}} => {{1},{2},{3,5,6},{4}} => 3
[4,1,6,2,3,5] => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}} => 4
[4,1,6,2,5,3] => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}} => 4
[4,1,6,3,2,5] => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}} => 4
[4,1,6,3,5,2] => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}} => 4
[4,1,6,5,2,3] => {{1,4,5},{2},{3,6}} => {{1,6},{2},{3,4,5}} => {{1},{2,5,6},{3},{4}} => 3
[4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => {{1,6},{2},{3,4,5}} => {{1},{2,5,6},{3},{4}} => 3
[4,2,1,3,5,6] => {{1,4},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6}} => {{1,2,3,5,6},{4}} => 10
[4,2,1,3,6,5] => {{1,4},{2},{3},{5,6}} => {{1,6},{2},{3,4},{5}} => {{1},{2,3,5,6},{4}} => 6
[4,2,1,5,3,6] => {{1,4,5},{2},{3},{6}} => {{1},{2},{3,4,5},{6}} => {{1,2,5,6},{3},{4}} => 6
[4,2,1,5,6,3] => {{1,4,5,6},{2},{3}} => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 3
[4,2,1,6,3,5] => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}} => 6
[4,2,1,6,5,3] => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}} => 6
[4,2,3,1,5,6] => {{1,4},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6}} => {{1,2,3,5,6},{4}} => 10
[4,2,3,1,6,5] => {{1,4},{2},{3},{5,6}} => {{1,6},{2},{3,4},{5}} => {{1},{2,3,5,6},{4}} => 6
[4,2,3,5,1,6] => {{1,4,5},{2},{3},{6}} => {{1},{2},{3,4,5},{6}} => {{1,2,5,6},{3},{4}} => 6
[4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 3
[4,2,3,6,1,5] => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}} => 6
[4,2,3,6,5,1] => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}} => 6
[4,2,5,1,3,6] => {{1,4},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6}} => {{1,2},{3,5,6},{4}} => 4
[4,2,5,1,6,3] => {{1,4},{2},{3,5,6}} => {{1,5},{2,6},{3,4}} => {{1,3,5},{2,6},{4}} => 4
[4,2,5,3,1,6] => {{1,4},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6}} => {{1,2},{3,5,6},{4}} => 4
[4,2,5,3,6,1] => {{1,4},{2},{3,5,6}} => {{1,5},{2,6},{3,4}} => {{1,3,5},{2,6},{4}} => 4
[4,2,5,6,1,3] => {{1,4,6},{2},{3,5}} => {{1,5,6},{2},{3,4}} => {{1},{2},{3,5,6},{4}} => 3
[4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => {{1,5,6},{2},{3,4}} => {{1},{2},{3,5,6},{4}} => 3
[4,2,6,1,3,5] => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}} => 4
[4,2,6,1,5,3] => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}} => 4
[4,2,6,3,1,5] => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}} => 4
[4,2,6,3,5,1] => {{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}} => 4
[4,2,6,5,1,3] => {{1,4,5},{2},{3,6}} => {{1,6},{2},{3,4,5}} => {{1},{2,5,6},{3},{4}} => 3
[4,2,6,5,3,1] => {{1,4,5},{2},{3,6}} => {{1,6},{2},{3,4,5}} => {{1},{2,5,6},{3},{4}} => 3
[4,3,1,2,5,6] => {{1,4},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6}} => {{1,2,3},{4},{5,6}} => 4
[4,3,1,2,6,5] => {{1,4},{2,3},{5,6}} => {{1,3,4},{2,6},{5}} => {{1,5},{2,3,6},{4}} => 4
[4,3,1,5,2,6] => {{1,4,5},{2,3},{6}} => {{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}} => 2
[4,3,1,5,6,2] => {{1,4,5,6},{2,3}} => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[4,3,1,6,2,5] => {{1,4,6},{2,3},{5}} => {{1,3,4},{2},{5,6}} => {{1,3},{2},{4},{5,6}} => 2
[4,3,1,6,5,2] => {{1,4,6},{2,3},{5}} => {{1,3,4},{2},{5,6}} => {{1,3},{2},{4},{5,6}} => 2
[4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6}} => {{1,2,3},{4},{5,6}} => 4
[4,3,2,1,6,5] => {{1,4},{2,3},{5,6}} => {{1,3,4},{2,6},{5}} => {{1,5},{2,3,6},{4}} => 4
[4,3,2,5,1,6] => {{1,4,5},{2,3},{6}} => {{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}} => 2
[4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[4,3,2,6,1,5] => {{1,4,6},{2,3},{5}} => {{1,3,4},{2},{5,6}} => {{1,3},{2},{4},{5,6}} => 2
[4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => {{1,3,4},{2},{5,6}} => {{1,3},{2},{4},{5,6}} => 2
[4,3,5,1,2,6] => {{1,4},{2,3,5},{6}} => {{1,3,4},{2,5},{6}} => {{1,2,5},{3,6},{4}} => 4
[4,3,5,1,6,2] => {{1,4},{2,3,5,6}} => {{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}} => 2
[4,3,5,2,1,6] => {{1,4},{2,3,5},{6}} => {{1,3,4},{2,5},{6}} => {{1,2,5},{3,6},{4}} => 4
[4,3,5,2,6,1] => {{1,4},{2,3,5,6}} => {{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}} => 2
[4,3,5,6,1,2] => {{1,4,6},{2,3,5}} => {{1,3,4},{2,5,6}} => {{1,5},{2},{3,6},{4}} => 2
[4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => {{1,3,4},{2,5,6}} => {{1,5},{2},{3,6},{4}} => 2
[4,3,6,1,2,5] => {{1,4},{2,3,6},{5}} => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[4,3,6,1,5,2] => {{1,4},{2,3,6},{5}} => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[4,3,6,2,1,5] => {{1,4},{2,3,6},{5}} => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[4,3,6,2,5,1] => {{1,4},{2,3,6},{5}} => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[4,3,6,5,1,2] => {{1,4,5},{2,3,6}} => {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} => 2
[4,3,6,5,2,1] => {{1,4,5},{2,3,6}} => {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} => 2
[4,5,1,2,3,6] => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}} => {{1,2,6},{3,5},{4}} => 4
[4,5,1,2,6,3] => {{1,4},{2,5,6},{3}} => {{1},{2,5},{3,4,6}} => {{1,3,6},{2,5},{4}} => 4
[4,5,1,3,2,6] => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}} => {{1,2,6},{3,5},{4}} => 4
[4,5,1,3,6,2] => {{1,4},{2,5,6},{3}} => {{1},{2,5},{3,4,6}} => {{1,3,6},{2,5},{4}} => 4
[4,5,1,6,2,3] => {{1,4,6},{2,5},{3}} => {{1},{2,5,6},{3,4}} => {{1,6},{2},{3,5},{4}} => 2
[4,5,1,6,3,2] => {{1,4,6},{2,5},{3}} => {{1},{2,5,6},{3,4}} => {{1,6},{2},{3,5},{4}} => 2
[4,5,2,1,3,6] => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}} => {{1,2,6},{3,5},{4}} => 4
[4,5,2,1,6,3] => {{1,4},{2,5,6},{3}} => {{1},{2,5},{3,4,6}} => {{1,3,6},{2,5},{4}} => 4
[4,5,2,3,1,6] => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}} => {{1,2,6},{3,5},{4}} => 4
[4,5,2,3,6,1] => {{1,4},{2,5,6},{3}} => {{1},{2,5},{3,4,6}} => {{1,3,6},{2,5},{4}} => 4
[4,5,2,6,1,3] => {{1,4,6},{2,5},{3}} => {{1},{2,5,6},{3,4}} => {{1,6},{2},{3,5},{4}} => 2
[4,5,2,6,3,1] => {{1,4,6},{2,5},{3}} => {{1},{2,5,6},{3,4}} => {{1,6},{2},{3,5},{4}} => 2
[4,5,3,1,2,6] => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}} => {{1,2,6},{3,5},{4}} => 4
[4,5,3,1,6,2] => {{1,4},{2,5,6},{3}} => {{1},{2,5},{3,4,6}} => {{1,3,6},{2,5},{4}} => 4
[4,5,3,2,1,6] => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}} => {{1,2,6},{3,5},{4}} => 4
[4,5,3,2,6,1] => {{1,4},{2,5,6},{3}} => {{1},{2,5},{3,4,6}} => {{1,3,6},{2,5},{4}} => 4
[4,5,3,6,1,2] => {{1,4,6},{2,5},{3}} => {{1},{2,5,6},{3,4}} => {{1,6},{2},{3,5},{4}} => 2
[4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => {{1},{2,5,6},{3,4}} => {{1,6},{2},{3,5},{4}} => 2
[4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => {{1},{2,6},{3,5},{4}} => 2
[4,5,6,1,3,2] => {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => {{1},{2,6},{3,5},{4}} => 2
[4,5,6,2,1,3] => {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => {{1},{2,6},{3,5},{4}} => 2
[4,5,6,2,3,1] => {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => {{1},{2,6},{3,5},{4}} => 2
[4,5,6,3,1,2] => {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => {{1},{2,6},{3,5},{4}} => 2
[4,5,6,3,2,1] => {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => {{1},{2,6},{3,5},{4}} => 2
[4,6,1,2,3,5] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,1,2,5,3] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,1,3,2,5] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,1,3,5,2] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,1,5,2,3] => {{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}} => {{1,6},{2,5},{3},{4}} => 2
[4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}} => {{1,6},{2,5},{3},{4}} => 2
[4,6,2,1,3,5] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,2,1,5,3] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,2,3,1,5] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,2,3,5,1] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,2,5,1,3] => {{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}} => {{1,6},{2,5},{3},{4}} => 2
[4,6,2,5,3,1] => {{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}} => {{1,6},{2,5},{3},{4}} => 2
[4,6,3,1,2,5] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,3,1,5,2] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,3,2,1,5] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,3,2,5,1] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 4
[4,6,3,5,1,2] => {{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}} => {{1,6},{2,5},{3},{4}} => 2
[4,6,3,5,2,1] => {{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}} => {{1,6},{2,5},{3},{4}} => 2
[4,6,5,1,2,3] => {{1,4},{2,6},{3,5}} => {{1,5},{2},{3,4,6}} => {{1,3},{2,5,6},{4}} => 4
[4,6,5,1,3,2] => {{1,4},{2,6},{3,5}} => {{1,5},{2},{3,4,6}} => {{1,3},{2,5,6},{4}} => 4
[4,6,5,2,1,3] => {{1,4},{2,6},{3,5}} => {{1,5},{2},{3,4,6}} => {{1,3},{2,5,6},{4}} => 4
[4,6,5,2,3,1] => {{1,4},{2,6},{3,5}} => {{1,5},{2},{3,4,6}} => {{1,3},{2,5,6},{4}} => 4
[4,6,5,3,1,2] => {{1,4},{2,6},{3,5}} => {{1,5},{2},{3,4,6}} => {{1,3},{2,5,6},{4}} => 4
[4,6,5,3,2,1] => {{1,4},{2,6},{3,5}} => {{1,5},{2},{3,4,6}} => {{1,3},{2,5,6},{4}} => 4
[5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}} => 10
[5,1,2,3,6,4] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 6
[5,1,2,4,3,6] => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}} => 10
[5,1,2,4,6,3] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 6
[5,1,2,6,3,4] => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}} => 6
[5,1,2,6,4,3] => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}} => 6
[5,1,3,2,4,6] => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}} => 10
[5,1,3,2,6,4] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 6
[5,1,3,4,2,6] => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}} => 10
[5,1,3,4,6,2] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 6
[5,1,3,6,2,4] => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}} => 6
[5,1,3,6,4,2] => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}} => 6
[5,1,4,2,3,6] => {{1,5},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6}} => {{1,2},{3},{4,5,6}} => 4
[5,1,4,2,6,3] => {{1,5,6},{2},{3,4}} => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 3
[5,1,4,3,2,6] => {{1,5},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6}} => {{1,2},{3},{4,5,6}} => 4
[5,1,4,3,6,2] => {{1,5,6},{2},{3,4}} => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 3
[5,1,4,6,2,3] => {{1,5},{2},{3,4,6}} => {{1,4,5},{2,6},{3}} => {{1,4,5},{2,6},{3}} => 4
[5,1,4,6,3,2] => {{1,5},{2},{3,4,6}} => {{1,4,5},{2,6},{3}} => {{1,4,5},{2,6},{3}} => 4
[5,1,6,2,3,4] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,1,6,2,4,3] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,1,6,3,2,4] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,1,6,3,4,2] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,1,6,4,2,3] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,2,1,3,4,6] => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}} => 10
[5,2,1,3,6,4] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 6
[5,2,1,4,3,6] => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}} => 10
[5,2,1,4,6,3] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 6
[5,2,1,6,3,4] => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}} => 6
[5,2,1,6,4,3] => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}} => 6
[5,2,3,1,4,6] => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}} => 10
[5,2,3,1,6,4] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 6
[5,2,3,4,1,6] => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}} => 10
[5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 6
[5,2,3,6,1,4] => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}} => 6
[5,2,3,6,4,1] => {{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}} => 6
[5,2,4,1,3,6] => {{1,5},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6}} => {{1,2},{3},{4,5,6}} => 4
[5,2,4,1,6,3] => {{1,5,6},{2},{3,4}} => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 3
[5,2,4,3,1,6] => {{1,5},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6}} => {{1,2},{3},{4,5,6}} => 4
[5,2,4,3,6,1] => {{1,5,6},{2},{3,4}} => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 3
[5,2,4,6,1,3] => {{1,5},{2},{3,4,6}} => {{1,4,5},{2,6},{3}} => {{1,4,5},{2,6},{3}} => 4
[5,2,4,6,3,1] => {{1,5},{2},{3,4,6}} => {{1,4,5},{2,6},{3}} => {{1,4,5},{2,6},{3}} => 4
[5,2,6,1,3,4] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,2,6,1,4,3] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,2,6,3,1,4] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,2,6,3,4,1] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,2,6,4,1,3] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,2,6,4,3,1] => {{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 4
[5,3,1,2,4,6] => {{1,5},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6}} => {{1,2,4},{3},{5,6}} => 4
[5,3,1,2,6,4] => {{1,5,6},{2,3},{4}} => {{1,3},{2},{4,5,6}} => {{1,4},{2},{3},{5,6}} => 2
[5,3,1,4,2,6] => {{1,5},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6}} => {{1,2,4},{3},{5,6}} => 4
[5,3,1,4,6,2] => {{1,5,6},{2,3},{4}} => {{1,3},{2},{4,5,6}} => {{1,4},{2},{3},{5,6}} => 2
[5,3,1,6,2,4] => {{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} => {{1,5},{2,4,6},{3}} => 4
[5,3,1,6,4,2] => {{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} => {{1,5},{2,4,6},{3}} => 4
[5,3,2,1,4,6] => {{1,5},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6}} => {{1,2,4},{3},{5,6}} => 4
[5,3,2,1,6,4] => {{1,5,6},{2,3},{4}} => {{1,3},{2},{4,5,6}} => {{1,4},{2},{3},{5,6}} => 2
[5,3,2,4,1,6] => {{1,5},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6}} => {{1,2,4},{3},{5,6}} => 4
[5,3,2,4,6,1] => {{1,5,6},{2,3},{4}} => {{1,3},{2},{4,5,6}} => {{1,4},{2},{3},{5,6}} => 2
[5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} => {{1,5},{2,4,6},{3}} => 4
[5,3,2,6,4,1] => {{1,5},{2,3},{4,6}} => {{1,3},{2,6},{4,5}} => {{1,5},{2,4,6},{3}} => 4
[5,3,4,1,2,6] => {{1,5},{2,3,4},{6}} => {{1,3},{2,4,5},{6}} => {{1,2,5},{3},{4,6}} => 4
[5,3,4,1,6,2] => {{1,5,6},{2,3,4}} => {{1,3},{2,4,5,6}} => {{1,5},{2},{3},{4,6}} => 2
[5,3,4,2,1,6] => {{1,5},{2,3,4},{6}} => {{1,3},{2,4,5},{6}} => {{1,2,5},{3},{4,6}} => 4
[5,3,4,2,6,1] => {{1,5,6},{2,3,4}} => {{1,3},{2,4,5,6}} => {{1,5},{2},{3},{4,6}} => 2
[5,3,4,6,1,2] => {{1,5},{2,3,4,6}} => {{1,3,6},{2,4,5}} => {{1},{2,5},{3},{4,6}} => 2
[5,3,4,6,2,1] => {{1,5},{2,3,4,6}} => {{1,3,6},{2,4,5}} => {{1},{2,5},{3},{4,6}} => 2
[5,3,6,1,2,4] => {{1,5},{2,3,6},{4}} => {{1,3,6},{2},{4,5}} => {{1},{2,4},{3},{5,6}} => 2
[5,3,6,1,4,2] => {{1,5},{2,3,6},{4}} => {{1,3,6},{2},{4,5}} => {{1},{2,4},{3},{5,6}} => 2
[5,3,6,2,1,4] => {{1,5},{2,3,6},{4}} => {{1,3,6},{2},{4,5}} => {{1},{2,4},{3},{5,6}} => 2
[5,3,6,2,4,1] => {{1,5},{2,3,6},{4}} => {{1,3,6},{2},{4,5}} => {{1},{2,4},{3},{5,6}} => 2
[5,3,6,4,1,2] => {{1,5},{2,3,6},{4}} => {{1,3,6},{2},{4,5}} => {{1},{2,4},{3},{5,6}} => 2
[5,3,6,4,2,1] => {{1,5},{2,3,6},{4}} => {{1,3,6},{2},{4,5}} => {{1},{2,4},{3},{5,6}} => 2
[5,4,1,2,3,6] => {{1,5},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6}} => {{1,2,6},{3},{4,5}} => 4
[5,4,1,2,6,3] => {{1,5,6},{2,4},{3}} => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[5,4,1,3,2,6] => {{1,5},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6}} => {{1,2,6},{3},{4,5}} => 4
[5,4,1,3,6,2] => {{1,5,6},{2,4},{3}} => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[5,4,1,6,2,3] => {{1,5},{2,4,6},{3}} => {{1},{2,4,5},{3,6}} => {{1,4,6},{2,5},{3}} => 4
[5,4,1,6,3,2] => {{1,5},{2,4,6},{3}} => {{1},{2,4,5},{3,6}} => {{1,4,6},{2,5},{3}} => 4
[5,4,2,1,3,6] => {{1,5},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6}} => {{1,2,6},{3},{4,5}} => 4
[5,4,2,1,6,3] => {{1,5,6},{2,4},{3}} => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[5,4,2,3,1,6] => {{1,5},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6}} => {{1,2,6},{3},{4,5}} => 4
[5,4,2,3,6,1] => {{1,5,6},{2,4},{3}} => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[5,4,2,6,1,3] => {{1,5},{2,4,6},{3}} => {{1},{2,4,5},{3,6}} => {{1,4,6},{2,5},{3}} => 4
[5,4,2,6,3,1] => {{1,5},{2,4,6},{3}} => {{1},{2,4,5},{3,6}} => {{1,4,6},{2,5},{3}} => 4
[5,4,3,1,2,6] => {{1,5},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6}} => {{1,2,6},{3},{4,5}} => 4
[5,4,3,1,6,2] => {{1,5,6},{2,4},{3}} => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[5,4,3,2,1,6] => {{1,5},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6}} => {{1,2,6},{3},{4,5}} => 4
[5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[5,4,3,6,1,2] => {{1,5},{2,4,6},{3}} => {{1},{2,4,5},{3,6}} => {{1,4,6},{2,5},{3}} => 4
[5,4,3,6,2,1] => {{1,5},{2,4,6},{3}} => {{1},{2,4,5},{3,6}} => {{1,4,6},{2,5},{3}} => 4
[5,4,6,1,2,3] => {{1,5},{2,4},{3,6}} => {{1,6},{2,4,5},{3}} => {{1},{2,6},{3},{4,5}} => 2
[5,4,6,1,3,2] => {{1,5},{2,4},{3,6}} => {{1,6},{2,4,5},{3}} => {{1},{2,6},{3},{4,5}} => 2
[5,4,6,2,1,3] => {{1,5},{2,4},{3,6}} => {{1,6},{2,4,5},{3}} => {{1},{2,6},{3},{4,5}} => 2
[5,4,6,2,3,1] => {{1,5},{2,4},{3,6}} => {{1,6},{2,4,5},{3}} => {{1},{2,6},{3},{4,5}} => 2
[5,4,6,3,1,2] => {{1,5},{2,4},{3,6}} => {{1,6},{2,4,5},{3}} => {{1},{2,6},{3},{4,5}} => 2
[5,4,6,3,2,1] => {{1,5},{2,4},{3,6}} => {{1,6},{2,4,5},{3}} => {{1},{2,6},{3},{4,5}} => 2
[5,6,1,2,3,4] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,1,2,4,3] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,1,3,2,4] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,1,3,4,2] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,1,4,2,3] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,1,4,3,2] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,2,1,3,4] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,2,1,4,3] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,2,3,1,4] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,2,3,4,1] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,2,4,1,3] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,2,4,3,1] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,3,1,2,4] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,3,1,4,2] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,3,2,1,4] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,3,2,4,1] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,3,4,1,2] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,3,4,2,1] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 4
[5,6,4,1,2,3] => {{1,5},{2,6},{3,4}} => {{1,4,5},{2},{3,6}} => {{1,4},{2,5,6},{3}} => 4
[5,6,4,1,3,2] => {{1,5},{2,6},{3,4}} => {{1,4,5},{2},{3,6}} => {{1,4},{2,5,6},{3}} => 4
[5,6,4,2,1,3] => {{1,5},{2,6},{3,4}} => {{1,4,5},{2},{3,6}} => {{1,4},{2,5,6},{3}} => 4
[5,6,4,2,3,1] => {{1,5},{2,6},{3,4}} => {{1,4,5},{2},{3,6}} => {{1,4},{2,5,6},{3}} => 4
[5,6,4,3,1,2] => {{1,5},{2,6},{3,4}} => {{1,4,5},{2},{3,6}} => {{1,4},{2,5,6},{3}} => 4
[5,6,4,3,2,1] => {{1,5},{2,6},{3,4}} => {{1,4,5},{2},{3,6}} => {{1,4},{2,5,6},{3}} => 4
[6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,1,2,3,5,4] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,1,2,4,3,5] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,1,2,4,5,3] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,1,2,5,3,4] => {{1,6},{2},{3},{4,5}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 6
[6,1,2,5,4,3] => {{1,6},{2},{3},{4,5}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 6
[6,1,3,2,4,5] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,1,3,2,5,4] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,1,3,4,2,5] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,1,3,4,5,2] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,1,3,5,2,4] => {{1,6},{2},{3},{4,5}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 6
[6,1,3,5,4,2] => {{1,6},{2},{3},{4,5}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 6
[6,1,4,2,3,5] => {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}} => 4
[6,1,4,2,5,3] => {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}} => 4
[6,1,4,3,2,5] => {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}} => 4
[6,1,4,3,5,2] => {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}} => 4
[6,1,4,5,2,3] => {{1,6},{2},{3,4,5}} => {{1,4},{2,5,6},{3}} => {{1,4,5},{2},{3,6}} => 4
[6,1,4,5,3,2] => {{1,6},{2},{3,4,5}} => {{1,4},{2,5,6},{3}} => {{1,4,5},{2},{3,6}} => 4
[6,1,5,2,3,4] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,1,5,2,4,3] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,1,5,3,2,4] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,1,5,3,4,2] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,1,5,4,2,3] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,2,1,3,4,5] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,2,1,3,5,4] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,2,1,4,3,5] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,2,1,4,5,3] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,2,1,5,3,4] => {{1,6},{2},{3},{4,5}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 6
[6,2,1,5,4,3] => {{1,6},{2},{3},{4,5}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 6
[6,2,3,1,4,5] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,2,3,1,5,4] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,2,3,4,1,5] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,2,3,4,5,1] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 10
[6,2,3,5,1,4] => {{1,6},{2},{3},{4,5}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 6
[6,2,3,5,4,1] => {{1,6},{2},{3},{4,5}} => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 6
[6,2,4,1,3,5] => {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}} => 4
[6,2,4,1,5,3] => {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}} => 4
[6,2,4,3,1,5] => {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}} => 4
[6,2,4,3,5,1] => {{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}} => 4
[6,2,4,5,1,3] => {{1,6},{2},{3,4,5}} => {{1,4},{2,5,6},{3}} => {{1,4,5},{2},{3,6}} => 4
[6,2,4,5,3,1] => {{1,6},{2},{3,4,5}} => {{1,4},{2,5,6},{3}} => {{1,4,5},{2},{3,6}} => 4
[6,2,5,1,3,4] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,2,5,1,4,3] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,2,5,3,1,4] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,2,5,3,4,1] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,2,5,4,1,3] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 4
[6,3,1,2,4,5] => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}} => 4
[6,3,1,2,5,4] => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}} => 4
[6,3,1,4,2,5] => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}} => 4
[6,3,1,4,5,2] => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}} => 4
[6,3,1,5,2,4] => {{1,6},{2,3},{4,5}} => {{1,3},{2,5,6},{4}} => {{1,5},{2},{3,4,6}} => 4
[6,3,1,5,4,2] => {{1,6},{2,3},{4,5}} => {{1,3},{2,5,6},{4}} => {{1,5},{2},{3,4,6}} => 4
[6,3,2,1,4,5] => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}} => 4
[6,3,2,1,5,4] => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}} => 4
[6,3,2,4,1,5] => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}} => 4
[6,3,2,4,5,1] => {{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}} => 4
[6,3,2,5,1,4] => {{1,6},{2,3},{4,5}} => {{1,3},{2,5,6},{4}} => {{1,5},{2},{3,4,6}} => 4
[6,3,2,5,4,1] => {{1,6},{2,3},{4,5}} => {{1,3},{2,5,6},{4}} => {{1,5},{2},{3,4,6}} => 4
[6,3,4,1,2,5] => {{1,6},{2,3,4},{5}} => {{1,3},{2,4},{5,6}} => {{1,3,5},{2},{4,6}} => 4
[6,3,4,1,5,2] => {{1,6},{2,3,4},{5}} => {{1,3},{2,4},{5,6}} => {{1,3,5},{2},{4,6}} => 4
[6,3,4,2,1,5] => {{1,6},{2,3,4},{5}} => {{1,3},{2,4},{5,6}} => {{1,3,5},{2},{4,6}} => 4
[6,3,4,2,5,1] => {{1,6},{2,3,4},{5}} => {{1,3},{2,4},{5,6}} => {{1,3,5},{2},{4,6}} => 4
[6,3,4,5,1,2] => {{1,6},{2,3,4,5}} => {{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}} => 2
[6,3,4,5,2,1] => {{1,6},{2,3,4,5}} => {{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}} => 2
[6,3,5,1,2,4] => {{1,6},{2,3,5},{4}} => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[6,3,5,1,4,2] => {{1,6},{2,3,5},{4}} => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[6,3,5,2,1,4] => {{1,6},{2,3,5},{4}} => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[6,3,5,2,4,1] => {{1,6},{2,3,5},{4}} => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[6,3,5,4,1,2] => {{1,6},{2,3,5},{4}} => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[6,3,5,4,2,1] => {{1,6},{2,3,5},{4}} => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[6,4,1,2,3,5] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,1,2,5,3] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,1,3,2,5] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,1,3,5,2] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,1,5,2,3] => {{1,6},{2,4,5},{3}} => {{1},{2,4},{3,5,6}} => {{1,4,6},{2},{3,5}} => 4
[6,4,1,5,3,2] => {{1,6},{2,4,5},{3}} => {{1},{2,4},{3,5,6}} => {{1,4,6},{2},{3,5}} => 4
[6,4,2,1,3,5] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,2,1,5,3] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,2,3,1,5] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,2,3,5,1] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,2,5,1,3] => {{1,6},{2,4,5},{3}} => {{1},{2,4},{3,5,6}} => {{1,4,6},{2},{3,5}} => 4
[6,4,2,5,3,1] => {{1,6},{2,4,5},{3}} => {{1},{2,4},{3,5,6}} => {{1,4,6},{2},{3,5}} => 4
[6,4,3,1,2,5] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,3,1,5,2] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,3,2,1,5] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,3,2,5,1] => {{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 4
[6,4,3,5,1,2] => {{1,6},{2,4,5},{3}} => {{1},{2,4},{3,5,6}} => {{1,4,6},{2},{3,5}} => 4
[6,4,3,5,2,1] => {{1,6},{2,4,5},{3}} => {{1},{2,4},{3,5,6}} => {{1,4,6},{2},{3,5}} => 4
[6,4,5,1,2,3] => {{1,6},{2,4},{3,5}} => {{1,5,6},{2,4},{3}} => {{1},{2},{3,6},{4,5}} => 2
[6,4,5,1,3,2] => {{1,6},{2,4},{3,5}} => {{1,5,6},{2,4},{3}} => {{1},{2},{3,6},{4,5}} => 2
[6,4,5,2,1,3] => {{1,6},{2,4},{3,5}} => {{1,5,6},{2,4},{3}} => {{1},{2},{3,6},{4,5}} => 2
[6,4,5,2,3,1] => {{1,6},{2,4},{3,5}} => {{1,5,6},{2,4},{3}} => {{1},{2},{3,6},{4,5}} => 2
[6,4,5,3,1,2] => {{1,6},{2,4},{3,5}} => {{1,5,6},{2,4},{3}} => {{1},{2},{3,6},{4,5}} => 2
[6,4,5,3,2,1] => {{1,6},{2,4},{3,5}} => {{1,5,6},{2,4},{3}} => {{1},{2},{3,6},{4,5}} => 2
[6,5,1,2,3,4] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,1,2,4,3] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,1,3,2,4] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,1,3,4,2] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,1,4,2,3] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,1,4,3,2] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,2,1,3,4] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,2,1,4,3] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,2,3,1,4] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,2,3,4,1] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,2,4,1,3] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,2,4,3,1] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,3,1,2,4] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,3,1,4,2] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,3,2,1,4] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,3,2,4,1] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,3,4,1,2] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,3,4,2,1] => {{1,6},{2,5},{3},{4}} => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 4
[6,5,4,1,2,3] => {{1,6},{2,5},{3,4}} => {{1,4},{2},{3,5,6}} => {{1,4},{2},{3,5,6}} => 4
[6,5,4,1,3,2] => {{1,6},{2,5},{3,4}} => {{1,4},{2},{3,5,6}} => {{1,4},{2},{3,5,6}} => 4
[6,5,4,2,1,3] => {{1,6},{2,5},{3,4}} => {{1,4},{2},{3,5,6}} => {{1,4},{2},{3,5,6}} => 4
[6,5,4,2,3,1] => {{1,6},{2,5},{3,4}} => {{1,4},{2},{3,5,6}} => {{1,4},{2},{3,5,6}} => 4
[6,5,4,3,1,2] => {{1,6},{2,5},{3,4}} => {{1,4},{2},{3,5,6}} => {{1,4},{2},{3,5,6}} => 4
[6,5,4,3,2,1] => {{1,6},{2,5},{3,4}} => {{1,4},{2},{3,5,6}} => {{1,4},{2},{3,5,6}} => 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}} => 21
[1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2,3,4,5,6,7}} => 15
[1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1,6},{2},{3},{4},{5},{7}} => {{1,2},{3,4,5,6,7}} => 11
[1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1,6},{2,7},{3},{4},{5}} => {{1,3,4,5,6},{2,7}} => 11
[1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => {{1},{2,7},{3},{4},{5},{6}} => {{1,7},{2,3,4,5,6}} => 11
[1,2,3,4,7,6,5] => {{1},{2},{3},{4},{5,7},{6}} => {{1},{2,7},{3},{4},{5},{6}} => {{1,7},{2,3,4,5,6}} => 11
[1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1,5},{2},{3},{4},{6},{7}} => {{1,2,3},{4,5,6,7}} => 9
[1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1,5},{2,7},{3},{4},{6}} => {{1,4,5,6},{2,3,7}} => 9
[1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1,5},{2,6},{3},{4},{7}} => {{1,2,4,5,6},{3,7}} => 11
[1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1,5},{2,6},{3,7},{4}} => {{1,4,5},{2,6},{3,7}} => 5
[1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,7},{6}} => {{1,5},{2},{3,7},{4},{6}} => {{1,4,5},{2,3,6,7}} => 9
[1,2,3,5,7,6,4] => {{1},{2},{3},{4,5,7},{6}} => {{1,5},{2},{3,7},{4},{6}} => {{1,4,5},{2,3,6,7}} => 9
[1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} => {{1,2,7},{3,4,5,6}} => 9
[1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => {{1},{2,6},{3,7},{4},{5}} => {{1,3,4,5,7},{2,6}} => 11
[1,2,3,6,5,4,7] => {{1},{2},{3},{4,6},{5},{7}} => {{1},{2,6},{3},{4},{5},{7}} => {{1,2,7},{3,4,5,6}} => 9
[1,2,3,6,5,7,4] => {{1},{2},{3},{4,6,7},{5}} => {{1},{2,6},{3,7},{4},{5}} => {{1,3,4,5,7},{2,6}} => 11
[1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1,7},{2,6},{3},{4},{5}} => {{1},{2,7},{3,4,5,6}} => 7
[1,2,3,6,7,5,4] => {{1},{2},{3},{4,6},{5,7}} => {{1,7},{2,6},{3},{4},{5}} => {{1},{2,7},{3,4,5,6}} => 7
[1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} => {{1,6,7},{2,3,4,5}} => 9
[1,2,3,7,4,6,5] => {{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} => {{1,6,7},{2,3,4,5}} => 9
[1,2,3,7,5,4,6] => {{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} => {{1,6,7},{2,3,4,5}} => 9
[1,2,3,7,5,6,4] => {{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} => {{1,6,7},{2,3,4,5}} => 9
[1,2,3,7,6,4,5] => {{1},{2},{3},{4,7},{5,6}} => {{1,6},{2},{3,7},{4},{5}} => {{1,3,4,5},{2,6,7}} => 9
[1,2,3,7,6,5,4] => {{1},{2},{3},{4,7},{5,6}} => {{1,6},{2},{3,7},{4},{5}} => {{1,3,4,5},{2,6,7}} => 9
[1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1,4},{2},{3},{5},{6},{7}} => {{1,2,3,4},{5,6,7}} => 9
[1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1,4},{2,7},{3},{5},{6}} => {{1,5,6},{2,3,4,7}} => 9
[1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1,4},{2,6},{3},{5},{7}} => {{1,2,5,6},{3,4,7}} => 9
[1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1,4},{2,6},{3,7},{5}} => {{1,5},{2,6},{3,4,7}} => 5
[1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,7},{6}} => {{1,4},{2},{3,7},{5},{6}} => {{1,5},{2,3,4,6,7}} => 11
[1,2,4,3,7,6,5] => {{1},{2},{3,4},{5,7},{6}} => {{1,4},{2},{3,7},{5},{6}} => {{1,5},{2,3,4,6,7}} => 11
[1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1,4},{2,5},{3},{6},{7}} => {{1,2,3,5,6},{4,7}} => 11
[1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1,4},{2,5},{3,7},{6}} => {{1,5},{2,3,6},{4,7}} => 5
[1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1,4},{2,5},{3,6},{7}} => {{1,2,5},{3,6},{4,7}} => 5
[1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => {{1,4,7},{2,5},{3,6}} => {{1},{2,5},{3,6},{4,7}} => 3
[1,2,4,5,7,3,6] => {{1},{2},{3,4,5,7},{6}} => {{1,4,7},{2,5},{3},{6}} => {{1},{2,3,5,6},{4,7}} => 7
[1,2,4,5,7,6,3] => {{1},{2},{3,4,5,7},{6}} => {{1,4,7},{2,5},{3},{6}} => {{1},{2,3,5,6},{4,7}} => 7
[1,2,4,6,3,5,7] => {{1},{2},{3,4,6},{5},{7}} => {{1,4},{2},{3,6},{5},{7}} => {{1,2,5},{3,4,6,7}} => 9
[1,2,4,6,3,7,5] => {{1},{2},{3,4,6,7},{5}} => {{1,4,7},{2},{3,6},{5}} => {{1},{2,5},{3,4,6,7}} => 7
[1,2,4,6,5,3,7] => {{1},{2},{3,4,6},{5},{7}} => {{1,4},{2},{3,6},{5},{7}} => {{1,2,5},{3,4,6,7}} => 9
[1,2,4,6,5,7,3] => {{1},{2},{3,4,6,7},{5}} => {{1,4,7},{2},{3,6},{5}} => {{1},{2,5},{3,4,6,7}} => 7
[1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1,4},{2,7},{3,6},{5}} => {{1,6},{2,5},{3,4,7}} => 5
[1,2,4,6,7,5,3] => {{1},{2},{3,4,6},{5,7}} => {{1,4},{2,7},{3,6},{5}} => {{1,6},{2,5},{3,4,7}} => 5
[1,2,4,7,3,5,6] => {{1},{2},{3,4,7},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => {{1},{2,3,4},{5,6,7}} => 6
[1,2,4,7,3,6,5] => {{1},{2},{3,4,7},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => {{1},{2,3,4},{5,6,7}} => 6
[1,2,4,7,5,3,6] => {{1},{2},{3,4,7},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => {{1},{2,3,4},{5,6,7}} => 6
[1,2,4,7,5,6,3] => {{1},{2},{3,4,7},{5},{6}} => {{1,4,7},{2},{3},{5},{6}} => {{1},{2,3,4},{5,6,7}} => 6
[1,2,4,7,6,3,5] => {{1},{2},{3,4,7},{5,6}} => {{1,4,7},{2,6},{3},{5}} => {{1},{2,5,6},{3,4,7}} => 6
[1,2,4,7,6,5,3] => {{1},{2},{3,4,7},{5,6}} => {{1,4,7},{2,6},{3},{5}} => {{1},{2,5,6},{3,4,7}} => 6
[1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => {{1},{2,5},{3},{4},{6},{7}} => {{1,2,3,7},{4,5,6}} => 9
[1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => {{1,7},{2,5},{3},{4},{6}} => {{1},{2,3,7},{4,5,6}} => 6
[1,2,5,3,6,4,7] => {{1},{2},{3,5,6},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} => {{1,2,4,5,7},{3,6}} => 11
[1,2,5,3,6,7,4] => {{1},{2},{3,5,6,7},{4}} => {{1},{2,5},{3,6},{4,7}} => {{1,4,7},{2,5},{3,6}} => 5
[1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => {{1},{2,5},{3},{4,7},{6}} => {{1,4,7},{2,3,5,6}} => 9
[1,2,5,3,7,6,4] => {{1},{2},{3,5,7},{4},{6}} => {{1},{2,5},{3},{4,7},{6}} => {{1,4,7},{2,3,5,6}} => 9
[1,2,5,4,3,6,7] => {{1},{2},{3,5},{4},{6},{7}} => {{1},{2,5},{3},{4},{6},{7}} => {{1,2,3,7},{4,5,6}} => 9
[1,2,5,4,3,7,6] => {{1},{2},{3,5},{4},{6,7}} => {{1,7},{2,5},{3},{4},{6}} => {{1},{2,3,7},{4,5,6}} => 6
[1,2,5,4,6,3,7] => {{1},{2},{3,5,6},{4},{7}} => {{1},{2,5},{3,6},{4},{7}} => {{1,2,4,5,7},{3,6}} => 11
[1,2,5,4,6,7,3] => {{1},{2},{3,5,6,7},{4}} => {{1},{2,5},{3,6},{4,7}} => {{1,4,7},{2,5},{3,6}} => 5
[1,2,5,4,7,3,6] => {{1},{2},{3,5,7},{4},{6}} => {{1},{2,5},{3},{4,7},{6}} => {{1,4,7},{2,3,5,6}} => 9
[1,2,5,4,7,6,3] => {{1},{2},{3,5,7},{4},{6}} => {{1},{2,5},{3},{4,7},{6}} => {{1,4,7},{2,3,5,6}} => 9
[1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1,6},{2,5},{3},{4},{7}} => {{1,2},{3,7},{4,5,6}} => 5
[1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1,6},{2,5},{3,7},{4}} => {{1,4,5},{2,7},{3,6}} => 5
[1,2,5,6,4,3,7] => {{1},{2},{3,5},{4,6},{7}} => {{1,6},{2,5},{3},{4},{7}} => {{1,2},{3,7},{4,5,6}} => 5
[1,2,5,6,4,7,3] => {{1},{2},{3,5},{4,6,7}} => {{1,6},{2,5},{3,7},{4}} => {{1,4,5},{2,7},{3,6}} => 5
[1,2,5,6,7,3,4] => {{1},{2},{3,5,7},{4,6}} => {{1,6},{2,5},{3},{4,7}} => {{1,4},{2,7},{3,5,6}} => 5
[1,2,5,6,7,4,3] => {{1},{2},{3,5,7},{4,6}} => {{1,6},{2,5},{3},{4,7}} => {{1,4},{2,7},{3,5,6}} => 5
[1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2,5},{3,7},{4},{6}} => {{1,4,5,7},{2,3,6}} => 9
[1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2,5},{3,7},{4},{6}} => {{1,4,5,7},{2,3,6}} => 9
[1,2,5,7,4,3,6] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2,5},{3,7},{4},{6}} => {{1,4,5,7},{2,3,6}} => 9
[1,2,5,7,4,6,3] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2,5},{3,7},{4},{6}} => {{1,4,5,7},{2,3,6}} => 9
[1,2,5,7,6,3,4] => {{1},{2},{3,5,6},{4,7}} => {{1,7},{2,5},{3,6},{4}} => {{1},{2,4,5,7},{3,6}} => 7
[1,2,5,7,6,4,3] => {{1},{2},{3,5,6},{4,7}} => {{1,7},{2,5},{3,6},{4}} => {{1},{2,4,5,7},{3,6}} => 7
[1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => {{1},{2},{3,6},{4},{5},{7}} => {{1,2,6,7},{3,4,5}} => 9
[1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6},{4,7},{5}} => {{1,3,4,6,7},{2,5}} => 11
[1,2,6,3,5,4,7] => {{1},{2},{3,6},{4},{5},{7}} => {{1},{2},{3,6},{4},{5},{7}} => {{1,2,6,7},{3,4,5}} => 9
[1,2,6,3,5,7,4] => {{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6},{4,7},{5}} => {{1,3,4,6,7},{2,5}} => 11
[1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => {{1,7},{2},{3,6},{4},{5}} => {{1},{2,6,7},{3,4,5}} => 6
[1,2,6,3,7,5,4] => {{1},{2},{3,6},{4},{5,7}} => {{1,7},{2},{3,6},{4},{5}} => {{1},{2,6,7},{3,4,5}} => 6
[1,2,6,4,3,5,7] => {{1},{2},{3,6},{4},{5},{7}} => {{1},{2},{3,6},{4},{5},{7}} => {{1,2,6,7},{3,4,5}} => 9
[1,2,6,4,3,7,5] => {{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6},{4,7},{5}} => {{1,3,4,6,7},{2,5}} => 11
[1,2,6,4,5,3,7] => {{1},{2},{3,6},{4},{5},{7}} => {{1},{2},{3,6},{4},{5},{7}} => {{1,2,6,7},{3,4,5}} => 9
[1,2,6,4,5,7,3] => {{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6},{4,7},{5}} => {{1,3,4,6,7},{2,5}} => 11
[1,2,6,4,7,3,5] => {{1},{2},{3,6},{4},{5,7}} => {{1,7},{2},{3,6},{4},{5}} => {{1},{2,6,7},{3,4,5}} => 6
[1,2,6,4,7,5,3] => {{1},{2},{3,6},{4},{5,7}} => {{1,7},{2},{3,6},{4},{5}} => {{1},{2,6,7},{3,4,5}} => 6
[1,2,6,5,3,4,7] => {{1},{2},{3,6},{4,5},{7}} => {{1,5},{2},{3,6},{4},{7}} => {{1,2,4,5},{3,6,7}} => 9
[1,2,6,5,3,7,4] => {{1},{2},{3,6,7},{4,5}} => {{1,5},{2},{3,6},{4,7}} => {{1,4},{2,5},{3,6,7}} => 5
[1,2,6,5,4,3,7] => {{1},{2},{3,6},{4,5},{7}} => {{1,5},{2},{3,6},{4},{7}} => {{1,2,4,5},{3,6,7}} => 9
[1,2,6,5,4,7,3] => {{1},{2},{3,6,7},{4,5}} => {{1,5},{2},{3,6},{4,7}} => {{1,4},{2,5},{3,6,7}} => 5
[1,2,6,5,7,3,4] => {{1},{2},{3,6},{4,5,7}} => {{1,5},{2,7},{3,6},{4}} => {{1,6},{2,4,5},{3,7}} => 5
[1,2,6,5,7,4,3] => {{1},{2},{3,6},{4,5,7}} => {{1,5},{2,7},{3,6},{4}} => {{1,6},{2,4,5},{3,7}} => 5
[1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => {{1},{2,7},{3,6},{4},{5}} => {{1,7},{2,6},{3,4,5}} => 5
[1,2,6,7,3,5,4] => {{1},{2},{3,6},{4,7},{5}} => {{1},{2,7},{3,6},{4},{5}} => {{1,7},{2,6},{3,4,5}} => 5
[1,2,6,7,4,3,5] => {{1},{2},{3,6},{4,7},{5}} => {{1},{2,7},{3,6},{4},{5}} => {{1,7},{2,6},{3,4,5}} => 5
[1,2,6,7,4,5,3] => {{1},{2},{3,6},{4,7},{5}} => {{1},{2,7},{3,6},{4},{5}} => {{1,7},{2,6},{3,4,5}} => 5
[1,2,6,7,5,3,4] => {{1},{2},{3,6},{4,7},{5}} => {{1},{2,7},{3,6},{4},{5}} => {{1,7},{2,6},{3,4,5}} => 5
[1,2,6,7,5,4,3] => {{1},{2},{3,6},{4,7},{5}} => {{1},{2,7},{3,6},{4},{5}} => {{1,7},{2,6},{3,4,5}} => 5
[1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}} => 9
[1,2,7,3,4,6,5] => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}} => 9
[1,2,7,3,5,4,6] => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}} => 9
[1,2,7,3,5,6,4] => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}} => 9
[1,2,7,3,6,4,5] => {{1},{2},{3,7},{4},{5,6}} => {{1,6},{2},{3},{4,7},{5}} => {{1,3,4},{2,5,6,7}} => 9
[1,2,7,3,6,5,4] => {{1},{2},{3,7},{4},{5,6}} => {{1,6},{2},{3},{4,7},{5}} => {{1,3,4},{2,5,6,7}} => 9
[1,2,7,4,3,5,6] => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}} => 9
[1,2,7,4,3,6,5] => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}} => 9
[1,2,7,4,5,3,6] => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}} => 9
[1,2,7,4,5,6,3] => {{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}} => 9
[1,2,7,4,6,3,5] => {{1},{2},{3,7},{4},{5,6}} => {{1,6},{2},{3},{4,7},{5}} => {{1,3,4},{2,5,6,7}} => 9
[1,2,7,4,6,5,3] => {{1},{2},{3,7},{4},{5,6}} => {{1,6},{2},{3},{4,7},{5}} => {{1,3,4},{2,5,6,7}} => 9
[1,2,7,5,3,4,6] => {{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3},{4,7},{6}} => {{1,4},{2,3,5,6,7}} => 11
[1,2,7,5,3,6,4] => {{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3},{4,7},{6}} => {{1,4},{2,3,5,6,7}} => 11
[1,2,7,5,4,3,6] => {{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3},{4,7},{6}} => {{1,4},{2,3,5,6,7}} => 11
[1,2,7,5,4,6,3] => {{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3},{4,7},{6}} => {{1,4},{2,3,5,6,7}} => 11
[1,2,7,5,6,3,4] => {{1},{2},{3,7},{4,5,6}} => {{1,5},{2,6},{3},{4,7}} => {{1,4},{2,5,6},{3,7}} => 5
[1,2,7,5,6,4,3] => {{1},{2},{3,7},{4,5,6}} => {{1,5},{2,6},{3},{4,7}} => {{1,4},{2,5,6},{3,7}} => 5
[1,2,7,6,3,4,5] => {{1},{2},{3,7},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} => {{1,3,4,7},{2,5,6}} => 9
[1,2,7,6,3,5,4] => {{1},{2},{3,7},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} => {{1,3,4,7},{2,5,6}} => 9
[1,2,7,6,4,3,5] => {{1},{2},{3,7},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} => {{1,3,4,7},{2,5,6}} => 9
[1,2,7,6,4,5,3] => {{1},{2},{3,7},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} => {{1,3,4,7},{2,5,6}} => 9
[1,2,7,6,5,3,4] => {{1},{2},{3,7},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} => {{1,3,4,7},{2,5,6}} => 9
[1,2,7,6,5,4,3] => {{1},{2},{3,7},{4,6},{5}} => {{1},{2,6},{3},{4,7},{5}} => {{1,3,4,7},{2,5,6}} => 9
[1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1,3},{2},{4},{5},{6},{7}} => {{1,2,3,4,5},{6,7}} => 11
[1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1,3},{2,7},{4},{5},{6}} => {{1,6},{2,3,4,5,7}} => 11
[1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1,3},{2,6},{4},{5},{7}} => {{1,2,6},{3,4,5,7}} => 9
[1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1,3,7},{2,6},{4},{5}} => {{1},{2,6},{3,4,5,7}} => 7
[1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,7},{6}} => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3,4,5},{6,7}} => 7
[1,3,2,4,7,6,5] => {{1},{2,3},{4},{5,7},{6}} => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3,4,5},{6,7}} => 7
[1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1,3},{2,5},{4},{6},{7}} => {{1,2,3,6},{4,5,7}} => 9
[1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,6},{4,5,7}} => 6
[1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1,3,6},{2,5},{4},{7}} => {{1,2},{3,6},{4,5,7}} => 5
[1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => {{1,3,6},{2,5},{4,7}} => {{1,4},{2,5,7},{3,6}} => 5
[1,3,2,5,7,4,6] => {{1},{2,3},{4,5,7},{6}} => {{1,3},{2,5},{4,7},{6}} => {{1,4},{2,3,6},{5,7}} => 5
[1,3,2,5,7,6,4] => {{1},{2,3},{4,5,7},{6}} => {{1,3},{2,5},{4,7},{6}} => {{1,4},{2,3,6},{5,7}} => 5
[1,3,2,6,4,5,7] => {{1},{2,3},{4,6},{5},{7}} => {{1,3,6},{2},{4},{5},{7}} => {{1,2},{3,4,5},{6,7}} => 5
[1,3,2,6,4,7,5] => {{1},{2,3},{4,6,7},{5}} => {{1,3,6},{2},{4,7},{5}} => {{1,3,4},{2,5},{6,7}} => 5
[1,3,2,6,5,4,7] => {{1},{2,3},{4,6},{5},{7}} => {{1,3,6},{2},{4},{5},{7}} => {{1,2},{3,4,5},{6,7}} => 5
[1,3,2,6,5,7,4] => {{1},{2,3},{4,6,7},{5}} => {{1,3,6},{2},{4,7},{5}} => {{1,3,4},{2,5},{6,7}} => 5
[1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1,3,6},{2,7},{4},{5}} => {{1,6},{2,7},{3,4,5}} => 5
[1,3,2,6,7,5,4] => {{1},{2,3},{4,6},{5,7}} => {{1,3,6},{2,7},{4},{5}} => {{1,6},{2,7},{3,4,5}} => 5
[1,3,2,7,4,5,6] => {{1},{2,3},{4,7},{5},{6}} => {{1,3},{2},{4,7},{5},{6}} => {{1,5},{2,3,4},{6,7}} => 5
[1,3,2,7,4,6,5] => {{1},{2,3},{4,7},{5},{6}} => {{1,3},{2},{4,7},{5},{6}} => {{1,5},{2,3,4},{6,7}} => 5
[1,3,2,7,5,4,6] => {{1},{2,3},{4,7},{5},{6}} => {{1,3},{2},{4,7},{5},{6}} => {{1,5},{2,3,4},{6,7}} => 5
[1,3,2,7,5,6,4] => {{1},{2,3},{4,7},{5},{6}} => {{1,3},{2},{4,7},{5},{6}} => {{1,5},{2,3,4},{6,7}} => 5
[1,3,2,7,6,4,5] => {{1},{2,3},{4,7},{5,6}} => {{1,3},{2,6},{4,7},{5}} => {{1,3,4},{2,6},{5,7}} => 5
[1,3,2,7,6,5,4] => {{1},{2,3},{4,7},{5,6}} => {{1,3},{2,6},{4,7},{5}} => {{1,3,4},{2,6},{5,7}} => 5
[1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1,3},{2,4},{5},{6},{7}} => {{1,2,3,4,6},{5,7}} => 11
[1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1,3,7},{2,4},{5},{6}} => {{1},{2,3,4,6},{5,7}} => 7
[1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1,3,6},{2,4},{5},{7}} => {{1,2},{3,4,6},{5,7}} => 5
[1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1,3,6},{2,4,7},{5}} => {{1,3,4,6},{2,5,7}} => 9
[1,3,4,2,7,5,6] => {{1},{2,3,4},{5,7},{6}} => {{1,3},{2,4,7},{5},{6}} => {{1,6},{2,3,4},{5,7}} => 5
[1,3,4,2,7,6,5] => {{1},{2,3,4},{5,7},{6}} => {{1,3},{2,4,7},{5},{6}} => {{1,6},{2,3,4},{5,7}} => 5
[1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1,3,5},{2,4},{6},{7}} => {{1,2,3},{4,6},{5,7}} => 5
[1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => {{1,3,5},{2,4,7},{6}} => {{1,4,6},{2,3,5,7}} => 9
[1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => {{1,3,5},{2,4,6},{7}} => {{1,2,4,6},{3,5,7}} => 9
[1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 6
[1,3,4,5,7,2,6] => {{1},{2,3,4,5,7},{6}} => {{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}} => 3
[1,3,4,5,7,6,2] => {{1},{2,3,4,5,7},{6}} => {{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}} => 3
[1,3,4,6,2,5,7] => {{1},{2,3,4,6},{5},{7}} => {{1,3},{2,4,6},{5},{7}} => {{1,2,6},{3,4},{5,7}} => 5
[1,3,4,6,2,7,5] => {{1},{2,3,4,6,7},{5}} => {{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}} => 5
[1,3,4,6,5,2,7] => {{1},{2,3,4,6},{5},{7}} => {{1,3},{2,4,6},{5},{7}} => {{1,2,6},{3,4},{5,7}} => 5
[1,3,4,6,5,7,2] => {{1},{2,3,4,6,7},{5}} => {{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}} => 5
[1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4,6},{5}} => {{1},{2,6},{3,4},{5,7}} => 3
[1,3,4,6,7,5,2] => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4,6},{5}} => {{1},{2,6},{3,4},{5,7}} => 3
[1,3,4,7,2,5,6] => {{1},{2,3,4,7},{5},{6}} => {{1,3},{2,4},{5,7},{6}} => {{1,4,6},{2,3},{5,7}} => 5
[1,3,4,7,2,6,5] => {{1},{2,3,4,7},{5},{6}} => {{1,3},{2,4},{5,7},{6}} => {{1,4,6},{2,3},{5,7}} => 5
[1,3,4,7,5,2,6] => {{1},{2,3,4,7},{5},{6}} => {{1,3},{2,4},{5,7},{6}} => {{1,4,6},{2,3},{5,7}} => 5
[1,3,4,7,5,6,2] => {{1},{2,3,4,7},{5},{6}} => {{1,3},{2,4},{5,7},{6}} => {{1,4,6},{2,3},{5,7}} => 5
[1,3,4,7,6,2,5] => {{1},{2,3,4,7},{5,6}} => {{1,3,6},{2,4},{5,7}} => {{1,3},{2,5,7},{4,6}} => 5
[1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}} => {{1,3,6},{2,4},{5,7}} => {{1,3},{2,5,7},{4,6}} => 5
[1,3,5,2,4,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1,3,5},{2},{4},{6},{7}} => {{1,2,3},{4,5},{6,7}} => 5
[1,3,5,2,4,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1,3,5},{2,7},{4},{6}} => {{1,6},{2,3,7},{4,5}} => 5
[1,3,5,2,6,4,7] => {{1},{2,3,5,6},{4},{7}} => {{1,3,5},{2},{4,6},{7}} => {{1,2,4},{3,5},{6,7}} => 5
[1,3,5,2,6,7,4] => {{1},{2,3,5,6,7},{4}} => {{1,3,5,7},{2},{4,6}} => {{1},{2,4},{3,5},{6,7}} => 3
[1,3,5,2,7,4,6] => {{1},{2,3,5,7},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[1,3,5,2,7,6,4] => {{1},{2,3,5,7},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[1,3,5,4,2,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1,3,5},{2},{4},{6},{7}} => {{1,2,3},{4,5},{6,7}} => 5
[1,3,5,4,2,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1,3,5},{2,7},{4},{6}} => {{1,6},{2,3,7},{4,5}} => 5
[1,3,5,4,6,2,7] => {{1},{2,3,5,6},{4},{7}} => {{1,3,5},{2},{4,6},{7}} => {{1,2,4},{3,5},{6,7}} => 5
[1,3,5,4,6,7,2] => {{1},{2,3,5,6,7},{4}} => {{1,3,5,7},{2},{4,6}} => {{1},{2,4},{3,5},{6,7}} => 3
[1,3,5,4,7,2,6] => {{1},{2,3,5,7},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[1,3,5,4,7,6,2] => {{1},{2,3,5,7},{4},{6}} => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1,3,5},{2,6},{4},{7}} => {{1,2,6},{3,7},{4,5}} => 5
[1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => {{1,3,5},{2,6},{4,7}} => {{1,4},{2,6},{3,5,7}} => 5
[1,3,5,6,4,2,7] => {{1},{2,3,5},{4,6},{7}} => {{1,3,5},{2,6},{4},{7}} => {{1,2,6},{3,7},{4,5}} => 5
[1,3,5,6,4,7,2] => {{1},{2,3,5},{4,6,7}} => {{1,3,5},{2,6},{4,7}} => {{1,4},{2,6},{3,5,7}} => 5
[1,3,5,6,7,2,4] => {{1},{2,3,5,7},{4,6}} => {{1,3,5,7},{2,6},{4}} => {{1},{2,6},{3,7},{4,5}} => 3
[1,3,5,6,7,4,2] => {{1},{2,3,5,7},{4,6}} => {{1,3,5,7},{2,6},{4}} => {{1},{2,6},{3,7},{4,5}} => 3
[1,3,5,7,2,4,6] => {{1},{2,3,5},{4,7},{6}} => {{1,3,5},{2},{4,7},{6}} => {{1,4},{2,3,5},{6,7}} => 5
[1,3,5,7,2,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1,3,5},{2},{4,7},{6}} => {{1,4},{2,3,5},{6,7}} => 5
[1,3,5,7,4,2,6] => {{1},{2,3,5},{4,7},{6}} => {{1,3,5},{2},{4,7},{6}} => {{1,4},{2,3,5},{6,7}} => 5
[1,3,5,7,4,6,2] => {{1},{2,3,5},{4,7},{6}} => {{1,3,5},{2},{4,7},{6}} => {{1,4},{2,3,5},{6,7}} => 5
[1,3,5,7,6,2,4] => {{1},{2,3,5,6},{4,7}} => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,4},{3,5,7}} => 5
[1,3,5,7,6,4,2] => {{1},{2,3,5,6},{4,7}} => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,4},{3,5,7}} => 5
[1,3,6,2,4,5,7] => {{1},{2,3,6},{4},{5},{7}} => {{1,3},{2},{4,6},{5},{7}} => {{1,2,5},{3,4},{6,7}} => 5
[1,3,6,2,4,7,5] => {{1},{2,3,6,7},{4},{5}} => {{1,3},{2},{4,6},{5,7}} => {{1,3,5},{2,4},{6,7}} => 5
[1,3,6,2,5,4,7] => {{1},{2,3,6},{4},{5},{7}} => {{1,3},{2},{4,6},{5},{7}} => {{1,2,5},{3,4},{6,7}} => 5
[1,3,6,2,5,7,4] => {{1},{2,3,6,7},{4},{5}} => {{1,3},{2},{4,6},{5,7}} => {{1,3,5},{2,4},{6,7}} => 5
[1,3,6,2,7,4,5] => {{1},{2,3,6},{4},{5,7}} => {{1,3},{2,7},{4,6},{5}} => {{1,6},{2,5,7},{3,4}} => 5
[1,3,6,2,7,5,4] => {{1},{2,3,6},{4},{5,7}} => {{1,3},{2,7},{4,6},{5}} => {{1,6},{2,5,7},{3,4}} => 5
[1,3,6,4,2,5,7] => {{1},{2,3,6},{4},{5},{7}} => {{1,3},{2},{4,6},{5},{7}} => {{1,2,5},{3,4},{6,7}} => 5
[1,3,6,4,2,7,5] => {{1},{2,3,6,7},{4},{5}} => {{1,3},{2},{4,6},{5,7}} => {{1,3,5},{2,4},{6,7}} => 5
[1,3,6,4,5,2,7] => {{1},{2,3,6},{4},{5},{7}} => {{1,3},{2},{4,6},{5},{7}} => {{1,2,5},{3,4},{6,7}} => 5
[1,3,6,4,5,7,2] => {{1},{2,3,6,7},{4},{5}} => {{1,3},{2},{4,6},{5,7}} => {{1,3,5},{2,4},{6,7}} => 5
[1,3,6,4,7,2,5] => {{1},{2,3,6},{4},{5,7}} => {{1,3},{2,7},{4,6},{5}} => {{1,6},{2,5,7},{3,4}} => 5
[1,3,6,4,7,5,2] => {{1},{2,3,6},{4},{5,7}} => {{1,3},{2,7},{4,6},{5}} => {{1,6},{2,5,7},{3,4}} => 5
[1,3,6,5,2,4,7] => {{1},{2,3,6},{4,5},{7}} => {{1,3},{2,5},{4,6},{7}} => {{1,2,4},{3,6},{5,7}} => 5
[1,3,6,5,2,7,4] => {{1},{2,3,6,7},{4,5}} => {{1,3},{2,5,7},{4,6}} => {{1,3,6},{2,4},{5,7}} => 5
[1,3,6,5,4,2,7] => {{1},{2,3,6},{4,5},{7}} => {{1,3},{2,5},{4,6},{7}} => {{1,2,4},{3,6},{5,7}} => 5
[1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => {{1,3},{2,5,7},{4,6}} => {{1,3,6},{2,4},{5,7}} => 5
[1,3,6,5,7,2,4] => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4,6}} => {{1},{2,4},{3,6},{5,7}} => 3
[1,3,6,5,7,4,2] => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4,6}} => {{1},{2,4},{3,6},{5,7}} => 3
[1,3,6,7,2,4,5] => {{1},{2,3,6},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} => {{1},{2,5},{3,4},{6,7}} => 3
[1,3,6,7,2,5,4] => {{1},{2,3,6},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} => {{1},{2,5},{3,4},{6,7}} => 3
[1,3,6,7,4,2,5] => {{1},{2,3,6},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} => {{1},{2,5},{3,4},{6,7}} => 3
[1,3,6,7,4,5,2] => {{1},{2,3,6},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} => {{1},{2,5},{3,4},{6,7}} => 3
[1,3,6,7,5,2,4] => {{1},{2,3,6},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} => {{1},{2,5},{3,4},{6,7}} => 3
[1,3,6,7,5,4,2] => {{1},{2,3,6},{4,7},{5}} => {{1,3,7},{2},{4,6},{5}} => {{1},{2,5},{3,4},{6,7}} => 3
[1,3,7,2,4,5,6] => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}} => 5
[1,3,7,2,4,6,5] => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}} => 5
[1,3,7,2,5,4,6] => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}} => 5
[1,3,7,2,5,6,4] => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}} => 5
[1,3,7,2,6,4,5] => {{1},{2,3,7},{4},{5,6}} => {{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4,5,7}} => 5
[1,3,7,2,6,5,4] => {{1},{2,3,7},{4},{5,6}} => {{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4,5,7}} => 5
[1,3,7,4,2,5,6] => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}} => 5
[1,3,7,4,2,6,5] => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}} => 5
[1,3,7,4,5,2,6] => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}} => 5
[1,3,7,4,5,6,2] => {{1},{2,3,7},{4},{5},{6}} => {{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}} => 5
[1,3,7,4,6,2,5] => {{1},{2,3,7},{4},{5,6}} => {{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4,5,7}} => 5
[1,3,7,4,6,5,2] => {{1},{2,3,7},{4},{5,6}} => {{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4,5,7}} => 5
[1,3,7,5,2,4,6] => {{1},{2,3,7},{4,5},{6}} => {{1,3},{2,5,7},{4},{6}} => {{1,6},{2,3},{4,5,7}} => 5
[1,3,7,5,2,6,4] => {{1},{2,3,7},{4,5},{6}} => {{1,3},{2,5,7},{4},{6}} => {{1,6},{2,3},{4,5,7}} => 5
[1,3,7,5,4,2,6] => {{1},{2,3,7},{4,5},{6}} => {{1,3},{2,5,7},{4},{6}} => {{1,6},{2,3},{4,5,7}} => 5
[1,3,7,5,4,6,2] => {{1},{2,3,7},{4,5},{6}} => {{1,3},{2,5,7},{4},{6}} => {{1,6},{2,3},{4,5,7}} => 5
[1,3,7,5,6,2,4] => {{1},{2,3,7},{4,5,6}} => {{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,4,5,7}} => 9
[1,3,7,5,6,4,2] => {{1},{2,3,7},{4,5,6}} => {{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,4,5,7}} => 9
[1,3,7,6,2,4,5] => {{1},{2,3,7},{4,6},{5}} => {{1,3,6},{2},{4},{5,7}} => {{1,3},{2,4,5},{6,7}} => 5
[1,3,7,6,2,5,4] => {{1},{2,3,7},{4,6},{5}} => {{1,3,6},{2},{4},{5,7}} => {{1,3},{2,4,5},{6,7}} => 5
[1,3,7,6,4,2,5] => {{1},{2,3,7},{4,6},{5}} => {{1,3,6},{2},{4},{5,7}} => {{1,3},{2,4,5},{6,7}} => 5
[1,3,7,6,4,5,2] => {{1},{2,3,7},{4,6},{5}} => {{1,3,6},{2},{4},{5,7}} => {{1,3},{2,4,5},{6,7}} => 5
[1,3,7,6,5,2,4] => {{1},{2,3,7},{4,6},{5}} => {{1,3,6},{2},{4},{5,7}} => {{1,3},{2,4,5},{6,7}} => 5
[1,3,7,6,5,4,2] => {{1},{2,3,7},{4,6},{5}} => {{1,3,6},{2},{4},{5,7}} => {{1,3},{2,4,5},{6,7}} => 5
[1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => {{1},{2,4},{3},{5},{6},{7}} => {{1,2,3,4,7},{5,6}} => 11
[1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,3,4,7},{5,6}} => 7
[1,4,2,3,6,5,7] => {{1},{2,4},{3},{5,6},{7}} => {{1,6},{2,4},{3},{5},{7}} => {{1,2},{3,4,7},{5,6}} => 5
[1,4,2,3,6,7,5] => {{1},{2,4},{3},{5,6,7}} => {{1,6},{2,4},{3,7},{5}} => {{1,5},{2,7},{3,4,6}} => 5
[1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => {{1},{2,4},{3,7},{5},{6}} => {{1,5,7},{2,3,4,6}} => 9
[1,4,2,3,7,6,5] => {{1},{2,4},{3},{5,7},{6}} => {{1},{2,4},{3,7},{5},{6}} => {{1,5,7},{2,3,4,6}} => 9
[1,4,2,5,3,6,7] => {{1},{2,4,5},{3},{6},{7}} => {{1},{2,4},{3,5},{6},{7}} => {{1,2,3,5,7},{4,6}} => 11
[1,4,2,5,3,7,6] => {{1},{2,4,5},{3},{6,7}} => {{1,7},{2,4},{3,5},{6}} => {{1},{2,3,5,7},{4,6}} => 7
[1,4,2,5,6,3,7] => {{1},{2,4,5,6},{3},{7}} => {{1},{2,4,6},{3,5},{7}} => {{1,2,7},{3,5},{4,6}} => 5
[1,4,2,5,6,7,3] => {{1},{2,4,5,6,7},{3}} => {{1},{2,4,6},{3,5,7}} => {{1,3,5,7},{2,4,6}} => 9
[1,4,2,5,7,3,6] => {{1},{2,4,5,7},{3},{6}} => {{1},{2,4},{3,5,7},{6}} => {{1,5,7},{2,3},{4,6}} => 5
[1,4,2,5,7,6,3] => {{1},{2,4,5,7},{3},{6}} => {{1},{2,4},{3,5,7},{6}} => {{1,5,7},{2,3},{4,6}} => 5
[1,4,2,6,3,5,7] => {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => {{1,2,7},{3,4},{5,6}} => 5
[1,4,2,6,3,7,5] => {{1},{2,4,6,7},{3},{5}} => {{1},{2,4,6},{3},{5,7}} => {{1,3,7},{2,4},{5,6}} => 5
[1,4,2,6,5,3,7] => {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => {{1,2,7},{3,4},{5,6}} => 5
[1,4,2,6,5,7,3] => {{1},{2,4,6,7},{3},{5}} => {{1},{2,4,6},{3},{5,7}} => {{1,3,7},{2,4},{5,6}} => 5
[1,4,2,6,7,3,5] => {{1},{2,4,6},{3},{5,7}} => {{1,7},{2,4,6},{3},{5}} => {{1},{2,7},{3,4},{5,6}} => 3
[1,4,2,6,7,5,3] => {{1},{2,4,6},{3},{5,7}} => {{1,7},{2,4,6},{3},{5}} => {{1},{2,7},{3,4},{5,6}} => 3
[1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}} => 5
[1,4,2,7,3,6,5] => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}} => 5
[1,4,2,7,5,3,6] => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}} => 5
[1,4,2,7,5,6,3] => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}} => 5
[1,4,2,7,6,3,5] => {{1},{2,4,7},{3},{5,6}} => {{1,6},{2,4},{3},{5,7}} => {{1,3},{2,4,7},{5,6}} => 5
[1,4,2,7,6,5,3] => {{1},{2,4,7},{3},{5,6}} => {{1,6},{2,4},{3},{5,7}} => {{1,3},{2,4,7},{5,6}} => 5
[1,4,3,2,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => {{1},{2,4},{3},{5},{6},{7}} => {{1,2,3,4,7},{5,6}} => 11
[1,4,3,2,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,3,4,7},{5,6}} => 7
[1,4,3,2,6,5,7] => {{1},{2,4},{3},{5,6},{7}} => {{1,6},{2,4},{3},{5},{7}} => {{1,2},{3,4,7},{5,6}} => 5
[1,4,3,2,6,7,5] => {{1},{2,4},{3},{5,6,7}} => {{1,6},{2,4},{3,7},{5}} => {{1,5},{2,7},{3,4,6}} => 5
[1,4,3,2,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => {{1},{2,4},{3,7},{5},{6}} => {{1,5,7},{2,3,4,6}} => 9
[1,4,3,2,7,6,5] => {{1},{2,4},{3},{5,7},{6}} => {{1},{2,4},{3,7},{5},{6}} => {{1,5,7},{2,3,4,6}} => 9
[1,4,3,5,2,6,7] => {{1},{2,4,5},{3},{6},{7}} => {{1},{2,4},{3,5},{6},{7}} => {{1,2,3,5,7},{4,6}} => 11
[1,4,3,5,2,7,6] => {{1},{2,4,5},{3},{6,7}} => {{1,7},{2,4},{3,5},{6}} => {{1},{2,3,5,7},{4,6}} => 7
[1,4,3,5,6,2,7] => {{1},{2,4,5,6},{3},{7}} => {{1},{2,4,6},{3,5},{7}} => {{1,2,7},{3,5},{4,6}} => 5
[1,4,3,5,6,7,2] => {{1},{2,4,5,6,7},{3}} => {{1},{2,4,6},{3,5,7}} => {{1,3,5,7},{2,4,6}} => 9
[1,4,3,5,7,2,6] => {{1},{2,4,5,7},{3},{6}} => {{1},{2,4},{3,5,7},{6}} => {{1,5,7},{2,3},{4,6}} => 5
[1,4,3,5,7,6,2] => {{1},{2,4,5,7},{3},{6}} => {{1},{2,4},{3,5,7},{6}} => {{1,5,7},{2,3},{4,6}} => 5
[1,4,3,6,2,5,7] => {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => {{1,2,7},{3,4},{5,6}} => 5
[1,4,3,6,2,7,5] => {{1},{2,4,6,7},{3},{5}} => {{1},{2,4,6},{3},{5,7}} => {{1,3,7},{2,4},{5,6}} => 5
[1,4,3,6,5,2,7] => {{1},{2,4,6},{3},{5},{7}} => {{1},{2,4,6},{3},{5},{7}} => {{1,2,7},{3,4},{5,6}} => 5
[1,4,3,6,5,7,2] => {{1},{2,4,6,7},{3},{5}} => {{1},{2,4,6},{3},{5,7}} => {{1,3,7},{2,4},{5,6}} => 5
[1,4,3,6,7,2,5] => {{1},{2,4,6},{3},{5,7}} => {{1,7},{2,4,6},{3},{5}} => {{1},{2,7},{3,4},{5,6}} => 3
[1,4,3,6,7,5,2] => {{1},{2,4,6},{3},{5,7}} => {{1,7},{2,4,6},{3},{5}} => {{1},{2,7},{3,4},{5,6}} => 3
[1,4,3,7,2,5,6] => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}} => 5
[1,4,3,7,2,6,5] => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}} => 5
[1,4,3,7,5,2,6] => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}} => 5
[1,4,3,7,5,6,2] => {{1},{2,4,7},{3},{5},{6}} => {{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}} => 5
[1,4,3,7,6,2,5] => {{1},{2,4,7},{3},{5,6}} => {{1,6},{2,4},{3},{5,7}} => {{1,3},{2,4,7},{5,6}} => 5
[1,4,3,7,6,5,2] => {{1},{2,4,7},{3},{5,6}} => {{1,6},{2,4},{3},{5,7}} => {{1,3},{2,4,7},{5,6}} => 5
[1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1,5},{2,4},{3},{6},{7}} => {{1,2,3},{4,7},{5,6}} => 5
[1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1,5},{2,4},{3,7},{6}} => {{1,5},{2,3,7},{4,6}} => 5
[1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1,5},{2,4},{3,6},{7}} => {{1,2,5},{3,7},{4,6}} => 5
[1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => {{1,5},{2,4,7},{3,6}} => {{1,4,6},{2,5},{3,7}} => 5
[1,4,5,2,7,3,6] => {{1},{2,4},{3,5,7},{6}} => {{1,5},{2,4,7},{3},{6}} => {{1,4},{2,3,7},{5,6}} => 5
[1,4,5,2,7,6,3] => {{1},{2,4},{3,5,7},{6}} => {{1,5},{2,4,7},{3},{6}} => {{1,4},{2,3,7},{5,6}} => 5
[1,4,5,3,2,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1,5},{2,4},{3},{6},{7}} => {{1,2,3},{4,7},{5,6}} => 5
[1,4,5,3,2,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1,5},{2,4},{3,7},{6}} => {{1,5},{2,3,7},{4,6}} => 5
[1,4,5,3,6,2,7] => {{1},{2,4},{3,5,6},{7}} => {{1,5},{2,4},{3,6},{7}} => {{1,2,5},{3,7},{4,6}} => 5
[1,4,5,3,6,7,2] => {{1},{2,4},{3,5,6,7}} => {{1,5},{2,4,7},{3,6}} => {{1,4,6},{2,5},{3,7}} => 5
[1,4,5,3,7,2,6] => {{1},{2,4},{3,5,7},{6}} => {{1,5},{2,4,7},{3},{6}} => {{1,4},{2,3,7},{5,6}} => 5
[1,4,5,3,7,6,2] => {{1},{2,4},{3,5,7},{6}} => {{1,5},{2,4,7},{3},{6}} => {{1,4},{2,3,7},{5,6}} => 5
[1,4,5,6,2,3,7] => {{1},{2,4,6},{3,5},{7}} => {{1,5},{2,4,6},{3},{7}} => {{1,2,4},{3,7},{5,6}} => 5
[1,4,5,6,2,7,3] => {{1},{2,4,6,7},{3,5}} => {{1,5,7},{2,4,6},{3}} => {{1},{2,4},{3,7},{5,6}} => 3
[1,4,5,6,3,2,7] => {{1},{2,4,6},{3,5},{7}} => {{1,5},{2,4,6},{3},{7}} => {{1,2,4},{3,7},{5,6}} => 5
[1,4,5,6,3,7,2] => {{1},{2,4,6,7},{3,5}} => {{1,5,7},{2,4,6},{3}} => {{1},{2,4},{3,7},{5,6}} => 3
[1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => {{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}} => 5
[1,4,5,6,7,3,2] => {{1},{2,4,6},{3,5,7}} => {{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}} => 5
[1,4,5,7,2,3,6] => {{1},{2,4,7},{3,5},{6}} => {{1,5,7},{2,4},{3},{6}} => {{1},{2,3},{4,7},{5,6}} => 3
[1,4,5,7,2,6,3] => {{1},{2,4,7},{3,5},{6}} => {{1,5,7},{2,4},{3},{6}} => {{1},{2,3},{4,7},{5,6}} => 3
[1,4,5,7,3,2,6] => {{1},{2,4,7},{3,5},{6}} => {{1,5,7},{2,4},{3},{6}} => {{1},{2,3},{4,7},{5,6}} => 3
[1,4,5,7,3,6,2] => {{1},{2,4,7},{3,5},{6}} => {{1,5,7},{2,4},{3},{6}} => {{1},{2,3},{4,7},{5,6}} => 3
[1,4,5,7,6,2,3] => {{1},{2,4,7},{3,5,6}} => {{1,5,7},{2,4},{3,6}} => {{1},{2,5},{3,7},{4,6}} => 3
[1,4,5,7,6,3,2] => {{1},{2,4,7},{3,5,6}} => {{1,5,7},{2,4},{3,6}} => {{1},{2,5},{3,7},{4,6}} => 3
[1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} => {{1,2,5,7},{3,4,6}} => 9
[1,4,6,2,3,7,5] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,4,7},{3,6},{5}} => {{1,7},{2,5},{3,4,6}} => 5
[1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} => {{1,2,5,7},{3,4,6}} => 9
[1,4,6,2,5,7,3] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,4,7},{3,6},{5}} => {{1,7},{2,5},{3,4,6}} => 5
[1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1,7},{2,4},{3,6},{5}} => {{1},{2,5,7},{3,4,6}} => 6
[1,4,6,2,7,5,3] => {{1},{2,4},{3,6},{5,7}} => {{1,7},{2,4},{3,6},{5}} => {{1},{2,5,7},{3,4,6}} => 6
[1,4,6,3,2,5,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} => {{1,2,5,7},{3,4,6}} => 9
[1,4,6,3,2,7,5] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,4,7},{3,6},{5}} => {{1,7},{2,5},{3,4,6}} => 5
[1,4,6,3,5,2,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,4},{3,6},{5},{7}} => {{1,2,5,7},{3,4,6}} => 9
[1,4,6,3,5,7,2] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,4,7},{3,6},{5}} => {{1,7},{2,5},{3,4,6}} => 5
[1,4,6,3,7,2,5] => {{1},{2,4},{3,6},{5,7}} => {{1,7},{2,4},{3,6},{5}} => {{1},{2,5,7},{3,4,6}} => 6
[1,4,6,3,7,5,2] => {{1},{2,4},{3,6},{5,7}} => {{1,7},{2,4},{3,6},{5}} => {{1},{2,5,7},{3,4,6}} => 6
[1,4,6,5,2,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1,6},{2,4},{3,5},{7}} => {{1,2},{3,5,7},{4,6}} => 5
[1,4,6,5,2,7,3] => {{1},{2,4,5},{3,6,7}} => {{1,6},{2,4,7},{3,5}} => {{1,4,6},{2,7},{3,5}} => 5
[1,4,6,5,3,2,7] => {{1},{2,4,5},{3,6},{7}} => {{1,6},{2,4},{3,5},{7}} => {{1,2},{3,5,7},{4,6}} => 5
[1,4,6,5,3,7,2] => {{1},{2,4,5},{3,6,7}} => {{1,6},{2,4,7},{3,5}} => {{1,4,6},{2,7},{3,5}} => 5
[1,4,6,5,7,2,3] => {{1},{2,4,5,7},{3,6}} => {{1,6},{2,4},{3,5,7}} => {{1,3,5},{2,7},{4,6}} => 5
[1,4,6,5,7,3,2] => {{1},{2,4,5,7},{3,6}} => {{1,6},{2,4},{3,5,7}} => {{1,3,5},{2,7},{4,6}} => 5
[1,4,6,7,2,3,5] => {{1},{2,4,7},{3,6},{5}} => {{1},{2,4},{3,6},{5,7}} => {{1,3,7},{2,5},{4,6}} => 5
[1,4,6,7,2,5,3] => {{1},{2,4,7},{3,6},{5}} => {{1},{2,4},{3,6},{5,7}} => {{1,3,7},{2,5},{4,6}} => 5
[1,4,6,7,3,2,5] => {{1},{2,4,7},{3,6},{5}} => {{1},{2,4},{3,6},{5,7}} => {{1,3,7},{2,5},{4,6}} => 5
[1,4,6,7,3,5,2] => {{1},{2,4,7},{3,6},{5}} => {{1},{2,4},{3,6},{5,7}} => {{1,3,7},{2,5},{4,6}} => 5
[1,4,6,7,5,2,3] => {{1},{2,4,7},{3,6},{5}} => {{1},{2,4},{3,6},{5,7}} => {{1,3,7},{2,5},{4,6}} => 5
[1,4,6,7,5,3,2] => {{1},{2,4,7},{3,6},{5}} => {{1},{2,4},{3,6},{5,7}} => {{1,3,7},{2,5},{4,6}} => 5
[1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 5
[1,4,7,2,3,6,5] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 5
[1,4,7,2,5,3,6] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 5
[1,4,7,2,5,6,3] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 5
[1,4,7,2,6,3,5] => {{1},{2,4},{3,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => {{1,3,4},{2,7},{5,6}} => 5
[1,4,7,2,6,5,3] => {{1},{2,4},{3,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => {{1,3,4},{2,7},{5,6}} => 5
[1,4,7,3,2,5,6] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 5
[1,4,7,3,2,6,5] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 5
[1,4,7,3,5,2,6] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 5
[1,4,7,3,5,6,2] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 5
[1,4,7,3,6,2,5] => {{1},{2,4},{3,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => {{1,3,4},{2,7},{5,6}} => 5
[1,4,7,3,6,5,2] => {{1},{2,4},{3,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => {{1,3,4},{2,7},{5,6}} => 5
[1,4,7,5,2,3,6] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,4,7},{3,5},{6}} => {{1,7},{2,3,5},{4,6}} => 5
[1,4,7,5,2,6,3] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,4,7},{3,5},{6}} => {{1,7},{2,3,5},{4,6}} => 5
[1,4,7,5,3,2,6] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,4,7},{3,5},{6}} => {{1,7},{2,3,5},{4,6}} => 5
[1,4,7,5,3,6,2] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,4,7},{3,5},{6}} => {{1,7},{2,3,5},{4,6}} => 5
[1,4,7,5,6,2,3] => {{1},{2,4,5,6},{3,7}} => {{1,7},{2,4,6},{3,5}} => {{1},{2,7},{3,5},{4,6}} => 3
[1,4,7,5,6,3,2] => {{1},{2,4,5,6},{3,7}} => {{1,7},{2,4,6},{3,5}} => {{1},{2,7},{3,5},{4,6}} => 3
[1,4,7,6,2,3,5] => {{1},{2,4,6},{3,7},{5}} => {{1},{2,4,6},{3,7},{5}} => {{1,5,7},{2,6},{3,4}} => 5
[1,4,7,6,2,5,3] => {{1},{2,4,6},{3,7},{5}} => {{1},{2,4,6},{3,7},{5}} => {{1,5,7},{2,6},{3,4}} => 5
[1,4,7,6,3,2,5] => {{1},{2,4,6},{3,7},{5}} => {{1},{2,4,6},{3,7},{5}} => {{1,5,7},{2,6},{3,4}} => 5
[1,4,7,6,3,5,2] => {{1},{2,4,6},{3,7},{5}} => {{1},{2,4,6},{3,7},{5}} => {{1,5,7},{2,6},{3,4}} => 5
[1,4,7,6,5,2,3] => {{1},{2,4,6},{3,7},{5}} => {{1},{2,4,6},{3,7},{5}} => {{1,5,7},{2,6},{3,4}} => 5
[1,4,7,6,5,3,2] => {{1},{2,4,6},{3,7},{5}} => {{1},{2,4,6},{3,7},{5}} => {{1,5,7},{2,6},{3,4}} => 5
[1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => {{1,2,3,6,7},{4,5}} => 11
[1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,3,6,7},{4,5}} => 7
[1,5,2,3,6,4,7] => {{1},{2,5,6},{3},{4},{7}} => {{1},{2},{3,5},{4,6},{7}} => {{1,2,4,6,7},{3,5}} => 11
[1,5,2,3,6,7,4] => {{1},{2,5,6,7},{3},{4}} => {{1},{2},{3,5,7},{4,6}} => {{1,6,7},{2,4},{3,5}} => 5
[1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 5
[1,5,2,3,7,6,4] => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 5
[1,5,2,4,3,6,7] => {{1},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => {{1,2,3,6,7},{4,5}} => 11
[1,5,2,4,3,7,6] => {{1},{2,5},{3},{4},{6,7}} => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,3,6,7},{4,5}} => 7
[1,5,2,4,6,3,7] => {{1},{2,5,6},{3},{4},{7}} => {{1},{2},{3,5},{4,6},{7}} => {{1,2,4,6,7},{3,5}} => 11
[1,5,2,4,6,7,3] => {{1},{2,5,6,7},{3},{4}} => {{1},{2},{3,5,7},{4,6}} => {{1,6,7},{2,4},{3,5}} => 5
[1,5,2,4,7,3,6] => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 5
[1,5,2,4,7,6,3] => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 5
[1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => {{1,6},{2},{3,5},{4},{7}} => {{1,2},{3,6,7},{4,5}} => 5
[1,5,2,6,3,7,4] => {{1},{2,5},{3},{4,6,7}} => {{1,6},{2,7},{3,5},{4}} => {{1,3,6},{2,7},{4,5}} => 5
[1,5,2,6,4,3,7] => {{1},{2,5},{3},{4,6},{7}} => {{1,6},{2},{3,5},{4},{7}} => {{1,2},{3,6,7},{4,5}} => 5
[1,5,2,6,4,7,3] => {{1},{2,5},{3},{4,6,7}} => {{1,6},{2,7},{3,5},{4}} => {{1,3,6},{2,7},{4,5}} => 5
[1,5,2,6,7,3,4] => {{1},{2,5,7},{3},{4,6}} => {{1,6},{2},{3,5,7},{4}} => {{1,3},{2,6,7},{4,5}} => 5
[1,5,2,6,7,4,3] => {{1},{2,5,7},{3},{4,6}} => {{1,6},{2},{3,5,7},{4}} => {{1,3},{2,6,7},{4,5}} => 5
[1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}} => 5
[1,5,2,7,3,6,4] => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}} => 5
[1,5,2,7,4,3,6] => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}} => 5
[1,5,2,7,4,6,3] => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}} => 5
[1,5,2,7,6,3,4] => {{1},{2,5,6},{3},{4,7}} => {{1,7},{2},{3,5},{4,6}} => {{1},{2,4,6,7},{3,5}} => 7
[1,5,2,7,6,4,3] => {{1},{2,5,6},{3},{4,7}} => {{1,7},{2},{3,5},{4,6}} => {{1},{2,4,6,7},{3,5}} => 7
[1,5,3,2,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => {{1,2,3,6,7},{4,5}} => 11
[1,5,3,2,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,3,6,7},{4,5}} => 7
[1,5,3,2,6,4,7] => {{1},{2,5,6},{3},{4},{7}} => {{1},{2},{3,5},{4,6},{7}} => {{1,2,4,6,7},{3,5}} => 11
[1,5,3,2,6,7,4] => {{1},{2,5,6,7},{3},{4}} => {{1},{2},{3,5,7},{4,6}} => {{1,6,7},{2,4},{3,5}} => 5
[1,5,3,2,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 5
[1,5,3,2,7,6,4] => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 5
[1,5,3,4,2,6,7] => {{1},{2,5},{3},{4},{6},{7}} => {{1},{2},{3,5},{4},{6},{7}} => {{1,2,3,6,7},{4,5}} => 11
[1,5,3,4,2,7,6] => {{1},{2,5},{3},{4},{6,7}} => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,3,6,7},{4,5}} => 7
[1,5,3,4,6,2,7] => {{1},{2,5,6},{3},{4},{7}} => {{1},{2},{3,5},{4,6},{7}} => {{1,2,4,6,7},{3,5}} => 11
[1,5,3,4,6,7,2] => {{1},{2,5,6,7},{3},{4}} => {{1},{2},{3,5,7},{4,6}} => {{1,6,7},{2,4},{3,5}} => 5
[1,5,3,4,7,2,6] => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 5
[1,5,3,4,7,6,2] => {{1},{2,5,7},{3},{4},{6}} => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 5
[1,5,3,6,2,4,7] => {{1},{2,5},{3},{4,6},{7}} => {{1,6},{2},{3,5},{4},{7}} => {{1,2},{3,6,7},{4,5}} => 5
[1,5,3,6,2,7,4] => {{1},{2,5},{3},{4,6,7}} => {{1,6},{2,7},{3,5},{4}} => {{1,3,6},{2,7},{4,5}} => 5
[1,5,3,6,4,2,7] => {{1},{2,5},{3},{4,6},{7}} => {{1,6},{2},{3,5},{4},{7}} => {{1,2},{3,6,7},{4,5}} => 5
[1,5,3,6,4,7,2] => {{1},{2,5},{3},{4,6,7}} => {{1,6},{2,7},{3,5},{4}} => {{1,3,6},{2,7},{4,5}} => 5
[1,5,3,6,7,2,4] => {{1},{2,5,7},{3},{4,6}} => {{1,6},{2},{3,5,7},{4}} => {{1,3},{2,6,7},{4,5}} => 5
[1,5,3,6,7,4,2] => {{1},{2,5,7},{3},{4,6}} => {{1,6},{2},{3,5,7},{4}} => {{1,3},{2,6,7},{4,5}} => 5
[1,5,3,7,2,4,6] => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}} => 5
[1,5,3,7,2,6,4] => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}} => 5
[1,5,3,7,4,2,6] => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}} => 5
[1,5,3,7,4,6,2] => {{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}} => 5
[1,5,3,7,6,2,4] => {{1},{2,5,6},{3},{4,7}} => {{1,7},{2},{3,5},{4,6}} => {{1},{2,4,6,7},{3,5}} => 7
[1,5,3,7,6,4,2] => {{1},{2,5,6},{3},{4,7}} => {{1,7},{2},{3,5},{4,6}} => {{1},{2,4,6,7},{3,5}} => 7
[1,5,4,2,3,6,7] => {{1},{2,5},{3,4},{6},{7}} => {{1,4},{2},{3,5},{6},{7}} => {{1,2,3,5},{4,6,7}} => 9
[1,5,4,2,3,7,6] => {{1},{2,5},{3,4},{6,7}} => {{1,4},{2,7},{3,5},{6}} => {{1,6},{2,3,5},{4,7}} => 5
[1,5,4,2,6,3,7] => {{1},{2,5,6},{3,4},{7}} => {{1,4,6},{2},{3,5},{7}} => {{1,2},{3,5},{4,6,7}} => 5
[1,5,4,2,6,7,3] => {{1},{2,5,6,7},{3,4}} => {{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,6,7}} => 9
[1,5,4,2,7,3,6] => {{1},{2,5,7},{3,4},{6}} => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2,3},{4,6,7}} => 5
[1,5,4,2,7,6,3] => {{1},{2,5,7},{3,4},{6}} => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2,3},{4,6,7}} => 5
[1,5,4,3,2,6,7] => {{1},{2,5},{3,4},{6},{7}} => {{1,4},{2},{3,5},{6},{7}} => {{1,2,3,5},{4,6,7}} => 9
[1,5,4,3,2,7,6] => {{1},{2,5},{3,4},{6,7}} => {{1,4},{2,7},{3,5},{6}} => {{1,6},{2,3,5},{4,7}} => 5
[1,5,4,3,6,2,7] => {{1},{2,5,6},{3,4},{7}} => {{1,4,6},{2},{3,5},{7}} => {{1,2},{3,5},{4,6,7}} => 5
[1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}} => {{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,6,7}} => 9
[1,5,4,3,7,2,6] => {{1},{2,5,7},{3,4},{6}} => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2,3},{4,6,7}} => 5
[1,5,4,3,7,6,2] => {{1},{2,5,7},{3,4},{6}} => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2,3},{4,6,7}} => 5
[1,5,4,6,2,3,7] => {{1},{2,5},{3,4,6},{7}} => {{1,4},{2,6},{3,5},{7}} => {{1,2,6},{3,5},{4,7}} => 5
[1,5,4,6,2,7,3] => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2,6},{3,5}} => {{1},{2,6},{3,5},{4,7}} => 3
[1,5,4,6,3,2,7] => {{1},{2,5},{3,4,6},{7}} => {{1,4},{2,6},{3,5},{7}} => {{1,2,6},{3,5},{4,7}} => 5
[1,5,4,6,3,7,2] => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2,6},{3,5}} => {{1},{2,6},{3,5},{4,7}} => 3
[1,5,4,6,7,2,3] => {{1},{2,5,7},{3,4,6}} => {{1,4},{2,6},{3,5,7}} => {{1,3,5},{2,6},{4,7}} => 5
[1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => {{1,4},{2,6},{3,5,7}} => {{1,3,5},{2,6},{4,7}} => 5
[1,5,4,7,2,3,6] => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2},{3,5},{6}} => {{1},{2,3,5},{4,6,7}} => 6
[1,5,4,7,2,6,3] => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2},{3,5},{6}} => {{1},{2,3,5},{4,6,7}} => 6
[1,5,4,7,3,2,6] => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2},{3,5},{6}} => {{1},{2,3,5},{4,6,7}} => 6
[1,5,4,7,3,6,2] => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2},{3,5},{6}} => {{1},{2,3,5},{4,6,7}} => 6
[1,5,4,7,6,2,3] => {{1},{2,5,6},{3,4,7}} => {{1,4,6},{2,7},{3,5}} => {{1,6},{2,4,7},{3,5}} => 5
[1,5,4,7,6,3,2] => {{1},{2,5,6},{3,4,7}} => {{1,4,6},{2,7},{3,5}} => {{1,6},{2,4,7},{3,5}} => 5
[1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => {{1,2,7},{3,6},{4,5}} => 5
[1,5,6,2,3,7,4] => {{1},{2,5},{3,6,7},{4}} => {{1},{2,6},{3,5},{4,7}} => {{1,4,7},{2,6},{3,5}} => 5
[1,5,6,2,4,3,7] => {{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => {{1,2,7},{3,6},{4,5}} => 5
[1,5,6,2,4,7,3] => {{1},{2,5},{3,6,7},{4}} => {{1},{2,6},{3,5},{4,7}} => {{1,4,7},{2,6},{3,5}} => 5
[1,5,6,2,7,3,4] => {{1},{2,5,7},{3,6},{4}} => {{1},{2,6},{3,5,7},{4}} => {{1,3,7},{2,6},{4,5}} => 5
[1,5,6,2,7,4,3] => {{1},{2,5,7},{3,6},{4}} => {{1},{2,6},{3,5,7},{4}} => {{1,3,7},{2,6},{4,5}} => 5
[1,5,6,3,2,4,7] => {{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => {{1,2,7},{3,6},{4,5}} => 5
[1,5,6,3,2,7,4] => {{1},{2,5},{3,6,7},{4}} => {{1},{2,6},{3,5},{4,7}} => {{1,4,7},{2,6},{3,5}} => 5
[1,5,6,3,4,2,7] => {{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => {{1,2,7},{3,6},{4,5}} => 5
[1,5,6,3,4,7,2] => {{1},{2,5},{3,6,7},{4}} => {{1},{2,6},{3,5},{4,7}} => {{1,4,7},{2,6},{3,5}} => 5
[1,5,6,3,7,2,4] => {{1},{2,5,7},{3,6},{4}} => {{1},{2,6},{3,5,7},{4}} => {{1,3,7},{2,6},{4,5}} => 5
[1,5,6,3,7,4,2] => {{1},{2,5,7},{3,6},{4}} => {{1},{2,6},{3,5,7},{4}} => {{1,3,7},{2,6},{4,5}} => 5
[1,5,6,4,2,3,7] => {{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => {{1,2,7},{3,6},{4,5}} => 5
[1,5,6,4,2,7,3] => {{1},{2,5},{3,6,7},{4}} => {{1},{2,6},{3,5},{4,7}} => {{1,4,7},{2,6},{3,5}} => 5
[1,5,6,4,3,2,7] => {{1},{2,5},{3,6},{4},{7}} => {{1},{2,6},{3,5},{4},{7}} => {{1,2,7},{3,6},{4,5}} => 5
[1,5,6,4,3,7,2] => {{1},{2,5},{3,6,7},{4}} => {{1},{2,6},{3,5},{4,7}} => {{1,4,7},{2,6},{3,5}} => 5
[1,5,6,4,7,2,3] => {{1},{2,5,7},{3,6},{4}} => {{1},{2,6},{3,5,7},{4}} => {{1,3,7},{2,6},{4,5}} => 5
[1,5,6,4,7,3,2] => {{1},{2,5,7},{3,6},{4}} => {{1},{2,6},{3,5,7},{4}} => {{1,3,7},{2,6},{4,5}} => 5
[1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1,7},{2,6},{3,5},{4}} => {{1},{2,7},{3,6},{4,5}} => 3
[1,5,6,7,2,4,3] => {{1},{2,5},{3,6},{4,7}} => {{1,7},{2,6},{3,5},{4}} => {{1},{2,7},{3,6},{4,5}} => 3
[1,5,6,7,3,2,4] => {{1},{2,5},{3,6},{4,7}} => {{1,7},{2,6},{3,5},{4}} => {{1},{2,7},{3,6},{4,5}} => 3
[1,5,6,7,3,4,2] => {{1},{2,5},{3,6},{4,7}} => {{1,7},{2,6},{3,5},{4}} => {{1},{2,7},{3,6},{4,5}} => 3
[1,5,6,7,4,2,3] => {{1},{2,5},{3,6},{4,7}} => {{1,7},{2,6},{3,5},{4}} => {{1},{2,7},{3,6},{4,5}} => 3
[1,5,6,7,4,3,2] => {{1},{2,5},{3,6},{4,7}} => {{1,7},{2,6},{3,5},{4}} => {{1},{2,7},{3,6},{4,5}} => 3
[1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,2,3,6,4] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,2,4,3,6] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,2,4,6,3] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,2,6,3,4] => {{1},{2,5,6},{3,7},{4}} => {{1},{2,7},{3,5},{4,6}} => {{1,7},{2,4,6},{3,5}} => 5
[1,5,7,2,6,4,3] => {{1},{2,5,6},{3,7},{4}} => {{1},{2,7},{3,5},{4,6}} => {{1,7},{2,4,6},{3,5}} => 5
[1,5,7,3,2,4,6] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,3,2,6,4] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,3,4,2,6] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,3,4,6,2] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,3,6,2,4] => {{1},{2,5,6},{3,7},{4}} => {{1},{2,7},{3,5},{4,6}} => {{1,7},{2,4,6},{3,5}} => 5
[1,5,7,3,6,4,2] => {{1},{2,5,6},{3,7},{4}} => {{1},{2,7},{3,5},{4,6}} => {{1,7},{2,4,6},{3,5}} => 5
[1,5,7,4,2,3,6] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,4,2,6,3] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,4,3,2,6] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,4,3,6,2] => {{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 9
[1,5,7,4,6,2,3] => {{1},{2,5,6},{3,7},{4}} => {{1},{2,7},{3,5},{4,6}} => {{1,7},{2,4,6},{3,5}} => 5
[1,5,7,4,6,3,2] => {{1},{2,5,6},{3,7},{4}} => {{1},{2,7},{3,5},{4,6}} => {{1,7},{2,4,6},{3,5}} => 5
[1,5,7,6,2,3,4] => {{1},{2,5},{3,7},{4,6}} => {{1,6},{2},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => 5
[1,5,7,6,2,4,3] => {{1},{2,5},{3,7},{4,6}} => {{1,6},{2},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => 5
[1,5,7,6,3,2,4] => {{1},{2,5},{3,7},{4,6}} => {{1,6},{2},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => 5
[1,5,7,6,3,4,2] => {{1},{2,5},{3,7},{4,6}} => {{1,6},{2},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => 5
[1,5,7,6,4,2,3] => {{1},{2,5},{3,7},{4,6}} => {{1,6},{2},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => 5
[1,5,7,6,4,3,2] => {{1},{2,5},{3,7},{4,6}} => {{1,6},{2},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => 5
[1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}} => 11
[1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}} => 11
[1,6,2,3,5,4,7] => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}} => 11
[1,6,2,3,5,7,4] => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}} => 11
[1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}} => 7
[1,6,2,3,7,5,4] => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}} => 7
[1,6,2,4,3,5,7] => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}} => 11
[1,6,2,4,3,7,5] => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}} => 11
[1,6,2,4,5,3,7] => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}} => 11
[1,6,2,4,5,7,3] => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}} => 11
[1,6,2,4,7,3,5] => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}} => 7
[1,6,2,4,7,5,3] => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}} => 7
[1,6,2,5,3,4,7] => {{1},{2,6},{3},{4,5},{7}} => {{1,5},{2},{3},{4,6},{7}} => {{1,2,4},{3,5,6,7}} => 9
[1,6,2,5,3,7,4] => {{1},{2,6,7},{3},{4,5}} => {{1,5,7},{2},{3},{4,6}} => {{1},{2,4},{3,5,6,7}} => 7
[1,6,2,5,4,3,7] => {{1},{2,6},{3},{4,5},{7}} => {{1,5},{2},{3},{4,6},{7}} => {{1,2,4},{3,5,6,7}} => 9
[1,6,2,5,4,7,3] => {{1},{2,6,7},{3},{4,5}} => {{1,5,7},{2},{3},{4,6}} => {{1},{2,4},{3,5,6,7}} => 7
[1,6,2,5,7,3,4] => {{1},{2,6},{3},{4,5,7}} => {{1,5},{2,7},{3},{4,6}} => {{1,5,6},{2,4},{3,7}} => 5
[1,6,2,5,7,4,3] => {{1},{2,6},{3},{4,5,7}} => {{1,5},{2,7},{3},{4,6}} => {{1,5,6},{2,4},{3,7}} => 5
[1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,2,7,3,5,4] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,2,7,4,3,5] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,2,7,4,5,3] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,2,7,5,3,4] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,2,7,5,4,3] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,3,2,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}} => 11
[1,6,3,2,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}} => 11
[1,6,3,2,5,4,7] => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}} => 11
[1,6,3,2,5,7,4] => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}} => 11
[1,6,3,2,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}} => 7
[1,6,3,2,7,5,4] => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}} => 7
[1,6,3,4,2,5,7] => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}} => 11
[1,6,3,4,2,7,5] => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}} => 11
[1,6,3,4,5,2,7] => {{1},{2,6},{3},{4},{5},{7}} => {{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}} => 11
[1,6,3,4,5,7,2] => {{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}} => 11
[1,6,3,4,7,2,5] => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}} => 7
[1,6,3,4,7,5,2] => {{1},{2,6},{3},{4},{5,7}} => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}} => 7
[1,6,3,5,2,4,7] => {{1},{2,6},{3},{4,5},{7}} => {{1,5},{2},{3},{4,6},{7}} => {{1,2,4},{3,5,6,7}} => 9
[1,6,3,5,2,7,4] => {{1},{2,6,7},{3},{4,5}} => {{1,5,7},{2},{3},{4,6}} => {{1},{2,4},{3,5,6,7}} => 7
[1,6,3,5,4,2,7] => {{1},{2,6},{3},{4,5},{7}} => {{1,5},{2},{3},{4,6},{7}} => {{1,2,4},{3,5,6,7}} => 9
[1,6,3,5,4,7,2] => {{1},{2,6,7},{3},{4,5}} => {{1,5,7},{2},{3},{4,6}} => {{1},{2,4},{3,5,6,7}} => 7
[1,6,3,5,7,2,4] => {{1},{2,6},{3},{4,5,7}} => {{1,5},{2,7},{3},{4,6}} => {{1,5,6},{2,4},{3,7}} => 5
[1,6,3,5,7,4,2] => {{1},{2,6},{3},{4,5,7}} => {{1,5},{2,7},{3},{4,6}} => {{1,5,6},{2,4},{3,7}} => 5
[1,6,3,7,2,4,5] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,3,7,2,5,4] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,3,7,4,2,5] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,3,7,4,5,2] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,3,7,5,2,4] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,3,7,5,4,2] => {{1},{2,6},{3},{4,7},{5}} => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 5
[1,6,4,2,3,5,7] => {{1},{2,6},{3,4},{5},{7}} => {{1,4,6},{2},{3},{5},{7}} => {{1,2},{3,4},{5,6,7}} => 5
[1,6,4,2,3,7,5] => {{1},{2,6,7},{3,4},{5}} => {{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4},{5,6,7}} => 5
[1,6,4,2,5,3,7] => {{1},{2,6},{3,4},{5},{7}} => {{1,4,6},{2},{3},{5},{7}} => {{1,2},{3,4},{5,6,7}} => 5
[1,6,4,2,5,7,3] => {{1},{2,6,7},{3,4},{5}} => {{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4},{5,6,7}} => 5
[1,6,4,2,7,3,5] => {{1},{2,6},{3,4},{5,7}} => {{1,4,6},{2,7},{3},{5}} => {{1,5,6},{2,7},{3,4}} => 5
[1,6,4,2,7,5,3] => {{1},{2,6},{3,4},{5,7}} => {{1,4,6},{2,7},{3},{5}} => {{1,5,6},{2,7},{3,4}} => 5
[1,6,4,3,2,5,7] => {{1},{2,6},{3,4},{5},{7}} => {{1,4,6},{2},{3},{5},{7}} => {{1,2},{3,4},{5,6,7}} => 5
[1,6,4,3,2,7,5] => {{1},{2,6,7},{3,4},{5}} => {{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4},{5,6,7}} => 5
[1,6,4,3,5,2,7] => {{1},{2,6},{3,4},{5},{7}} => {{1,4,6},{2},{3},{5},{7}} => {{1,2},{3,4},{5,6,7}} => 5
[1,6,4,3,5,7,2] => {{1},{2,6,7},{3,4},{5}} => {{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4},{5,6,7}} => 5
[1,6,4,3,7,2,5] => {{1},{2,6},{3,4},{5,7}} => {{1,4,6},{2,7},{3},{5}} => {{1,5,6},{2,7},{3,4}} => 5
[1,6,4,3,7,5,2] => {{1},{2,6},{3,4},{5,7}} => {{1,4,6},{2,7},{3},{5}} => {{1,5,6},{2,7},{3,4}} => 5
[1,6,4,5,2,3,7] => {{1},{2,6},{3,4,5},{7}} => {{1,4,6},{2,5},{3},{7}} => {{1,2},{3,5,6},{4,7}} => 5
[1,6,4,5,2,7,3] => {{1},{2,6,7},{3,4,5}} => {{1,4,6},{2,5,7},{3}} => {{1,3,5,6},{2,4,7}} => 9
[1,6,4,5,3,2,7] => {{1},{2,6},{3,4,5},{7}} => {{1,4,6},{2,5},{3},{7}} => {{1,2},{3,5,6},{4,7}} => 5
[1,6,4,5,3,7,2] => {{1},{2,6,7},{3,4,5}} => {{1,4,6},{2,5,7},{3}} => {{1,3,5,6},{2,4,7}} => 9
[1,6,4,5,7,2,3] => {{1},{2,6},{3,4,5,7}} => {{1,4,6},{2,5},{3,7}} => {{1,5},{2,4,7},{3,6}} => 5
[1,6,4,5,7,3,2] => {{1},{2,6},{3,4,5,7}} => {{1,4,6},{2,5},{3,7}} => {{1,5},{2,4,7},{3,6}} => 5
[1,6,4,7,2,3,5] => {{1},{2,6},{3,4,7},{5}} => {{1,4,6},{2},{3,7},{5}} => {{1,5},{2,6,7},{3,4}} => 5
[1,6,4,7,2,5,3] => {{1},{2,6},{3,4,7},{5}} => {{1,4,6},{2},{3,7},{5}} => {{1,5},{2,6,7},{3,4}} => 5
[1,6,4,7,3,2,5] => {{1},{2,6},{3,4,7},{5}} => {{1,4,6},{2},{3,7},{5}} => {{1,5},{2,6,7},{3,4}} => 5
[1,6,4,7,3,5,2] => {{1},{2,6},{3,4,7},{5}} => {{1,4,6},{2},{3,7},{5}} => {{1,5},{2,6,7},{3,4}} => 5
[1,6,4,7,5,2,3] => {{1},{2,6},{3,4,7},{5}} => {{1,4,6},{2},{3,7},{5}} => {{1,5},{2,6,7},{3,4}} => 5
[1,6,4,7,5,3,2] => {{1},{2,6},{3,4,7},{5}} => {{1,4,6},{2},{3,7},{5}} => {{1,5},{2,6,7},{3,4}} => 5
[1,6,5,2,3,4,7] => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3},{4,6},{7}} => {{1,2,4,7},{3,5,6}} => 9
[1,6,5,2,3,7,4] => {{1},{2,6,7},{3,5},{4}} => {{1},{2,5,7},{3},{4,6}} => {{1,7},{2,4},{3,5,6}} => 5
[1,6,5,2,4,3,7] => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3},{4,6},{7}} => {{1,2,4,7},{3,5,6}} => 9
[1,6,5,2,4,7,3] => {{1},{2,6,7},{3,5},{4}} => {{1},{2,5,7},{3},{4,6}} => {{1,7},{2,4},{3,5,6}} => 5
[1,6,5,2,7,3,4] => {{1},{2,6},{3,5,7},{4}} => {{1},{2,5},{3,7},{4,6}} => {{1,5,7},{2,4},{3,6}} => 5
[1,6,5,2,7,4,3] => {{1},{2,6},{3,5,7},{4}} => {{1},{2,5},{3,7},{4,6}} => {{1,5,7},{2,4},{3,6}} => 5
[1,6,5,3,2,4,7] => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3},{4,6},{7}} => {{1,2,4,7},{3,5,6}} => 9
[1,6,5,3,2,7,4] => {{1},{2,6,7},{3,5},{4}} => {{1},{2,5,7},{3},{4,6}} => {{1,7},{2,4},{3,5,6}} => 5
[1,6,5,3,4,2,7] => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3},{4,6},{7}} => {{1,2,4,7},{3,5,6}} => 9
[1,6,5,3,4,7,2] => {{1},{2,6,7},{3,5},{4}} => {{1},{2,5,7},{3},{4,6}} => {{1,7},{2,4},{3,5,6}} => 5
[1,6,5,3,7,2,4] => {{1},{2,6},{3,5,7},{4}} => {{1},{2,5},{3,7},{4,6}} => {{1,5,7},{2,4},{3,6}} => 5
[1,6,5,3,7,4,2] => {{1},{2,6},{3,5,7},{4}} => {{1},{2,5},{3,7},{4,6}} => {{1,5,7},{2,4},{3,6}} => 5
[1,6,5,4,2,3,7] => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3},{4,6},{7}} => {{1,2,4,7},{3,5,6}} => 9
[1,6,5,4,2,7,3] => {{1},{2,6,7},{3,5},{4}} => {{1},{2,5,7},{3},{4,6}} => {{1,7},{2,4},{3,5,6}} => 5
[1,6,5,4,3,2,7] => {{1},{2,6},{3,5},{4},{7}} => {{1},{2,5},{3},{4,6},{7}} => {{1,2,4,7},{3,5,6}} => 9
[1,6,5,4,3,7,2] => {{1},{2,6,7},{3,5},{4}} => {{1},{2,5,7},{3},{4,6}} => {{1,7},{2,4},{3,5,6}} => 5
[1,6,5,4,7,2,3] => {{1},{2,6},{3,5,7},{4}} => {{1},{2,5},{3,7},{4,6}} => {{1,5,7},{2,4},{3,6}} => 5
[1,6,5,4,7,3,2] => {{1},{2,6},{3,5,7},{4}} => {{1},{2,5},{3,7},{4,6}} => {{1,5,7},{2,4},{3,6}} => 5
[1,6,5,7,2,3,4] => {{1},{2,6},{3,5},{4,7}} => {{1,7},{2,5},{3},{4,6}} => {{1},{2,4,7},{3,5,6}} => 6
[1,6,5,7,2,4,3] => {{1},{2,6},{3,5},{4,7}} => {{1,7},{2,5},{3},{4,6}} => {{1},{2,4,7},{3,5,6}} => 6
[1,6,5,7,3,2,4] => {{1},{2,6},{3,5},{4,7}} => {{1,7},{2,5},{3},{4,6}} => {{1},{2,4,7},{3,5,6}} => 6
[1,6,5,7,3,4,2] => {{1},{2,6},{3,5},{4,7}} => {{1,7},{2,5},{3},{4,6}} => {{1},{2,4,7},{3,5,6}} => 6
[1,6,5,7,4,2,3] => {{1},{2,6},{3,5},{4,7}} => {{1,7},{2,5},{3},{4,6}} => {{1},{2,4,7},{3,5,6}} => 6
[1,6,5,7,4,3,2] => {{1},{2,6},{3,5},{4,7}} => {{1,7},{2,5},{3},{4,6}} => {{1},{2,4,7},{3,5,6}} => 6
[1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,2,3,5,4] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,2,4,3,5] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,2,4,5,3] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,2,5,3,4] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,2,5,4,3] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,3,2,4,5] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,3,2,5,4] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,3,4,2,5] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,3,4,5,2] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,3,5,2,4] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,3,5,4,2] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,4,2,3,5] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,4,2,5,3] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,4,3,2,5] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,4,3,5,2] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,4,5,2,3] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,4,5,3,2] => {{1},{2,6},{3,7},{4},{5}} => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 5
[1,6,7,5,2,3,4] => {{1},{2,6},{3,7},{4,5}} => {{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => 5
[1,6,7,5,2,4,3] => {{1},{2,6},{3,7},{4,5}} => {{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => 5
[1,6,7,5,3,2,4] => {{1},{2,6},{3,7},{4,5}} => {{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => 5
[1,6,7,5,3,4,2] => {{1},{2,6},{3,7},{4,5}} => {{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => 5
[1,6,7,5,4,2,3] => {{1},{2,6},{3,7},{4,5}} => {{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => 5
[1,6,7,5,4,3,2] => {{1},{2,6},{3,7},{4,5}} => {{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => 5
[1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,2,3,4,6,5] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,2,3,5,4,6] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,2,3,5,6,4] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,2,3,6,4,5] => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}} => 11
[1,7,2,3,6,5,4] => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}} => 11
[1,7,2,4,3,5,6] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,2,4,3,6,5] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,2,4,5,3,6] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,2,4,5,6,3] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,2,4,6,3,5] => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}} => 11
[1,7,2,4,6,5,3] => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}} => 11
[1,7,2,5,3,4,6] => {{1},{2,7},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 7
[1,7,2,5,3,6,4] => {{1},{2,7},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 7
[1,7,2,5,4,3,6] => {{1},{2,7},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 7
[1,7,2,5,4,6,3] => {{1},{2,7},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 7
[1,7,2,5,6,3,4] => {{1},{2,7},{3},{4,5,6}} => {{1,5,7},{2,6},{3},{4}} => {{1},{2,4,5,6},{3,7}} => 7
[1,7,2,5,6,4,3] => {{1},{2,7},{3},{4,5,6}} => {{1,5,7},{2,6},{3},{4}} => {{1},{2,4,5,6},{3,7}} => 7
[1,7,2,6,3,4,5] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,2,6,3,5,4] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,2,6,4,3,5] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,2,6,4,5,3] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,2,6,5,3,4] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,2,6,5,4,3] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,3,2,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,3,2,4,6,5] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,3,2,5,4,6] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,3,2,5,6,4] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,3,2,6,4,5] => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}} => 11
[1,7,3,2,6,5,4] => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}} => 11
[1,7,3,4,2,5,6] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,3,4,2,6,5] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,3,4,5,2,6] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,3,4,5,6,2] => {{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 11
[1,7,3,4,6,2,5] => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}} => 11
[1,7,3,4,6,5,2] => {{1},{2,7},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}} => 11
[1,7,3,5,2,4,6] => {{1},{2,7},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 7
[1,7,3,5,2,6,4] => {{1},{2,7},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 7
[1,7,3,5,4,2,6] => {{1},{2,7},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 7
[1,7,3,5,4,6,2] => {{1},{2,7},{3},{4,5},{6}} => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 7
[1,7,3,5,6,2,4] => {{1},{2,7},{3},{4,5,6}} => {{1,5,7},{2,6},{3},{4}} => {{1},{2,4,5,6},{3,7}} => 7
[1,7,3,5,6,4,2] => {{1},{2,7},{3},{4,5,6}} => {{1,5,7},{2,6},{3},{4}} => {{1},{2,4,5,6},{3,7}} => 7
[1,7,3,6,2,4,5] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,3,6,2,5,4] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,3,6,4,2,5] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,3,6,4,5,2] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,3,6,5,2,4] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,3,6,5,4,2] => {{1},{2,7},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 9
[1,7,4,2,3,5,6] => {{1},{2,7},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}} => 5
[1,7,4,2,3,6,5] => {{1},{2,7},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}} => 5
[1,7,4,2,5,3,6] => {{1},{2,7},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}} => 5
[1,7,4,2,5,6,3] => {{1},{2,7},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}} => 5
[1,7,4,2,6,3,5] => {{1},{2,7},{3,4},{5,6}} => {{1,4},{2,6},{3},{5,7}} => {{1,3},{2,5,6},{4,7}} => 5
[1,7,4,2,6,5,3] => {{1},{2,7},{3,4},{5,6}} => {{1,4},{2,6},{3},{5,7}} => {{1,3},{2,5,6},{4,7}} => 5
[1,7,4,3,2,5,6] => {{1},{2,7},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}} => 5
[1,7,4,3,2,6,5] => {{1},{2,7},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}} => 5
[1,7,4,3,5,2,6] => {{1},{2,7},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}} => 5
[1,7,4,3,5,6,2] => {{1},{2,7},{3,4},{5},{6}} => {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}} => 5
[1,7,4,3,6,2,5] => {{1},{2,7},{3,4},{5,6}} => {{1,4},{2,6},{3},{5,7}} => {{1,3},{2,5,6},{4,7}} => 5
[1,7,4,3,6,5,2] => {{1},{2,7},{3,4},{5,6}} => {{1,4},{2,6},{3},{5,7}} => {{1,3},{2,5,6},{4,7}} => 5
[1,7,4,5,2,3,6] => {{1},{2,7},{3,4,5},{6}} => {{1,4},{2,5,7},{3},{6}} => {{1,5,6},{2,3},{4,7}} => 5
[1,7,4,5,2,6,3] => {{1},{2,7},{3,4,5},{6}} => {{1,4},{2,5,7},{3},{6}} => {{1,5,6},{2,3},{4,7}} => 5
[1,7,4,5,3,2,6] => {{1},{2,7},{3,4,5},{6}} => {{1,4},{2,5,7},{3},{6}} => {{1,5,6},{2,3},{4,7}} => 5
[1,7,4,5,3,6,2] => {{1},{2,7},{3,4,5},{6}} => {{1,4},{2,5,7},{3},{6}} => {{1,5,6},{2,3},{4,7}} => 5
[1,7,4,5,6,2,3] => {{1},{2,7},{3,4,5,6}} => {{1,4},{2,5,7},{3,6}} => {{1,3,6},{2,5},{4,7}} => 5
[1,7,4,5,6,3,2] => {{1},{2,7},{3,4,5,6}} => {{1,4},{2,5,7},{3,6}} => {{1,3,6},{2,5},{4,7}} => 5
[1,7,4,6,2,3,5] => {{1},{2,7},{3,4,6},{5}} => {{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => 5
[1,7,4,6,2,5,3] => {{1},{2,7},{3,4,6},{5}} => {{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => 5
[1,7,4,6,3,2,5] => {{1},{2,7},{3,4,6},{5}} => {{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => 5
[1,7,4,6,3,5,2] => {{1},{2,7},{3,4,6},{5}} => {{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => 5
[1,7,4,6,5,2,3] => {{1},{2,7},{3,4,6},{5}} => {{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => 5
[1,7,4,6,5,3,2] => {{1},{2,7},{3,4,6},{5}} => {{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => 5
[1,7,5,2,3,4,6] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,2,3,6,4] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,2,4,3,6] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,2,4,6,3] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,2,6,3,4] => {{1},{2,7},{3,5,6},{4}} => {{1},{2,5,7},{3,6},{4}} => {{1,7},{2,4,5},{3,6}} => 5
[1,7,5,2,6,4,3] => {{1},{2,7},{3,5,6},{4}} => {{1},{2,5,7},{3,6},{4}} => {{1,7},{2,4,5},{3,6}} => 5
[1,7,5,3,2,4,6] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,3,2,6,4] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,3,4,2,6] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,3,4,6,2] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,3,6,2,4] => {{1},{2,7},{3,5,6},{4}} => {{1},{2,5,7},{3,6},{4}} => {{1,7},{2,4,5},{3,6}} => 5
[1,7,5,3,6,4,2] => {{1},{2,7},{3,5,6},{4}} => {{1},{2,5,7},{3,6},{4}} => {{1,7},{2,4,5},{3,6}} => 5
[1,7,5,4,2,3,6] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,4,2,6,3] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,4,3,2,6] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,4,3,6,2] => {{1},{2,7},{3,5},{4},{6}} => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 5
[1,7,5,4,6,2,3] => {{1},{2,7},{3,5,6},{4}} => {{1},{2,5,7},{3,6},{4}} => {{1,7},{2,4,5},{3,6}} => 5
[1,7,5,4,6,3,2] => {{1},{2,7},{3,5,6},{4}} => {{1},{2,5,7},{3,6},{4}} => {{1,7},{2,4,5},{3,6}} => 5
[1,7,5,6,2,3,4] => {{1},{2,7},{3,5},{4,6}} => {{1,6},{2,5,7},{3},{4}} => {{1,3},{2,7},{4,5,6}} => 5
[1,7,5,6,2,4,3] => {{1},{2,7},{3,5},{4,6}} => {{1,6},{2,5,7},{3},{4}} => {{1,3},{2,7},{4,5,6}} => 5
[1,7,5,6,3,2,4] => {{1},{2,7},{3,5},{4,6}} => {{1,6},{2,5,7},{3},{4}} => {{1,3},{2,7},{4,5,6}} => 5
[1,7,5,6,3,4,2] => {{1},{2,7},{3,5},{4,6}} => {{1,6},{2,5,7},{3},{4}} => {{1,3},{2,7},{4,5,6}} => 5
[1,7,5,6,4,2,3] => {{1},{2,7},{3,5},{4,6}} => {{1,6},{2,5,7},{3},{4}} => {{1,3},{2,7},{4,5,6}} => 5
[1,7,5,6,4,3,2] => {{1},{2,7},{3,5},{4,6}} => {{1,6},{2,5,7},{3},{4}} => {{1,3},{2,7},{4,5,6}} => 5
[1,7,6,2,3,4,5] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,2,3,5,4] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,2,4,3,5] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,2,4,5,3] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,2,5,3,4] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,2,5,4,3] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,3,2,4,5] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,3,2,5,4] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,3,4,2,5] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,3,4,5,2] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,3,5,2,4] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,3,5,4,2] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,4,2,3,5] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,4,2,5,3] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,4,3,2,5] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,4,3,5,2] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,4,5,2,3] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,4,5,3,2] => {{1},{2,7},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 9
[1,7,6,5,2,3,4] => {{1},{2,7},{3,6},{4,5}} => {{1,5,7},{2},{3,6},{4}} => {{1},{2,4,5},{3,6,7}} => 6
[1,7,6,5,2,4,3] => {{1},{2,7},{3,6},{4,5}} => {{1,5,7},{2},{3,6},{4}} => {{1},{2,4,5},{3,6,7}} => 6
[1,7,6,5,3,2,4] => {{1},{2,7},{3,6},{4,5}} => {{1,5,7},{2},{3,6},{4}} => {{1},{2,4,5},{3,6,7}} => 6
[1,7,6,5,3,4,2] => {{1},{2,7},{3,6},{4,5}} => {{1,5,7},{2},{3,6},{4}} => {{1},{2,4,5},{3,6,7}} => 6
[1,7,6,5,4,2,3] => {{1},{2,7},{3,6},{4,5}} => {{1,5,7},{2},{3,6},{4}} => {{1},{2,4,5},{3,6,7}} => 6
[1,7,6,5,4,3,2] => {{1},{2,7},{3,6},{4,5}} => {{1,5,7},{2},{3,6},{4}} => {{1},{2,4,5},{3,6,7}} => 6
[2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => {{1,2,3,4,5,6},{7}} => 15
[2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => {{1,2,7},{3},{4},{5},{6}} => {{1},{2,3,4,5,6},{7}} => 10
[2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3,4,5,6},{7}} => 7
[2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => {{1,2,6},{3,7},{4},{5}} => {{1,3,4,5},{2,6},{7}} => 7
[2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => {{1,2},{3,7},{4},{5},{6}} => {{1,6},{2,3,4,5},{7}} => 7
[2,1,3,4,7,6,5] => {{1,2},{3},{4},{5,7},{6}} => {{1,2},{3,7},{4},{5},{6}} => {{1,6},{2,3,4,5},{7}} => 7
[2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}} => {{1,2,5},{3},{4},{6},{7}} => {{1,2,3},{4,5,6},{7}} => 6
[2,1,3,5,4,7,6] => {{1,2},{3},{4,5},{6,7}} => {{1,2,5},{3,7},{4},{6}} => {{1,4,5},{2,3,6},{7}} => 6
[2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}} => {{1,2,5},{3,6},{4},{7}} => {{1,2,4,5},{3,6},{7}} => 7
[2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => {{1,2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6},{7}} => 3
[2,1,3,5,7,4,6] => {{1,2},{3},{4,5,7},{6}} => {{1,2,5},{3},{4,7},{6}} => {{1,4},{2,3,5,6},{7}} => 7
[2,1,3,5,7,6,4] => {{1,2},{3},{4,5,7},{6}} => {{1,2,5},{3},{4,7},{6}} => {{1,4},{2,3,5,6},{7}} => 7
[2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => {{1,2},{3,6},{4},{5},{7}} => {{1,2,6},{3,4,5},{7}} => 6
[2,1,3,6,4,7,5] => {{1,2},{3},{4,6,7},{5}} => {{1,2},{3,6},{4,7},{5}} => {{1,3,4,6},{2,5},{7}} => 7
[2,1,3,6,5,4,7] => {{1,2},{3},{4,6},{5},{7}} => {{1,2},{3,6},{4},{5},{7}} => {{1,2,6},{3,4,5},{7}} => 6
[2,1,3,6,5,7,4] => {{1,2},{3},{4,6,7},{5}} => {{1,2},{3,6},{4,7},{5}} => {{1,3,4,6},{2,5},{7}} => 7
[2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => {{1,2,7},{3,6},{4},{5}} => {{1},{2,6},{3,4,5},{7}} => 4
[2,1,3,6,7,5,4] => {{1,2},{3},{4,6},{5,7}} => {{1,2,7},{3,6},{4},{5}} => {{1},{2,6},{3,4,5},{7}} => 4
[2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => {{1,2},{3},{4,7},{5},{6}} => {{1,5,6},{2,3,4},{7}} => 6
[2,1,3,7,4,6,5] => {{1,2},{3},{4,7},{5},{6}} => {{1,2},{3},{4,7},{5},{6}} => {{1,5,6},{2,3,4},{7}} => 6
[2,1,3,7,5,4,6] => {{1,2},{3},{4,7},{5},{6}} => {{1,2},{3},{4,7},{5},{6}} => {{1,5,6},{2,3,4},{7}} => 6
[2,1,3,7,5,6,4] => {{1,2},{3},{4,7},{5},{6}} => {{1,2},{3},{4,7},{5},{6}} => {{1,5,6},{2,3,4},{7}} => 6
[2,1,3,7,6,4,5] => {{1,2},{3},{4,7},{5,6}} => {{1,2,6},{3},{4,7},{5}} => {{1,3,4},{2,5,6},{7}} => 6
[2,1,3,7,6,5,4] => {{1,2},{3},{4,7},{5,6}} => {{1,2,6},{3},{4,7},{5}} => {{1,3,4},{2,5,6},{7}} => 6
[2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => {{1,2,4},{3},{5},{6},{7}} => {{1,2,3,4},{5,6},{7}} => 7
[2,1,4,3,5,7,6] => {{1,2},{3,4},{5},{6,7}} => {{1,2,4},{3,7},{5},{6}} => {{1,5},{2,3,4,6},{7}} => 7
[2,1,4,3,6,5,7] => {{1,2},{3,4},{5,6},{7}} => {{1,2,4},{3,6},{5},{7}} => {{1,2,5},{3,4,6},{7}} => 6
[2,1,4,3,6,7,5] => {{1,2},{3,4},{5,6,7}} => {{1,2,4,7},{3,6},{5}} => {{1},{2,5},{3,4,6},{7}} => 4
[2,1,4,3,7,5,6] => {{1,2},{3,4},{5,7},{6}} => {{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}} => 4
[2,1,4,3,7,6,5] => {{1,2},{3,4},{5,7},{6}} => {{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}} => 4
[2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}} => {{1,2,4},{3,5},{6},{7}} => {{1,2,3,5},{4,6},{7}} => 7
[2,1,4,5,3,7,6] => {{1,2},{3,4,5},{6,7}} => {{1,2,4,7},{3,5},{6}} => {{1},{2,3,5},{4,6},{7}} => 4
[2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}} => {{1,2,4,6},{3,5},{7}} => {{1,2},{3,5},{4,6},{7}} => 3
[2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 6
[2,1,4,5,7,3,6] => {{1,2},{3,4,5,7},{6}} => {{1,2,4},{3,5,7},{6}} => {{1,5},{2,3},{4,6},{7}} => 3
[2,1,4,5,7,6,3] => {{1,2},{3,4,5,7},{6}} => {{1,2,4},{3,5,7},{6}} => {{1,5},{2,3},{4,6},{7}} => 3
[2,1,4,6,3,5,7] => {{1,2},{3,4,6},{5},{7}} => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => 3
[2,1,4,6,3,7,5] => {{1,2},{3,4,6,7},{5}} => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 3
[2,1,4,6,5,3,7] => {{1,2},{3,4,6},{5},{7}} => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => 3
[2,1,4,6,5,7,3] => {{1,2},{3,4,6,7},{5}} => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 3
[2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,6},{3,4},{7}} => 3
[2,1,4,6,7,5,3] => {{1,2},{3,4,6},{5,7}} => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,6},{3,4},{7}} => 3
[2,1,4,7,3,5,6] => {{1,2},{3,4,7},{5},{6}} => {{1,2,4},{3},{5,7},{6}} => {{1,4},{2,3},{5,6},{7}} => 3
[2,1,4,7,3,6,5] => {{1,2},{3,4,7},{5},{6}} => {{1,2,4},{3},{5,7},{6}} => {{1,4},{2,3},{5,6},{7}} => 3
[2,1,4,7,5,3,6] => {{1,2},{3,4,7},{5},{6}} => {{1,2,4},{3},{5,7},{6}} => {{1,4},{2,3},{5,6},{7}} => 3
[2,1,4,7,5,6,3] => {{1,2},{3,4,7},{5},{6}} => {{1,2,4},{3},{5,7},{6}} => {{1,4},{2,3},{5,6},{7}} => 3
[2,1,4,7,6,3,5] => {{1,2},{3,4,7},{5,6}} => {{1,2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6},{7}} => 3
[2,1,4,7,6,5,3] => {{1,2},{3,4,7},{5,6}} => {{1,2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6},{7}} => 3
[2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => {{1,2},{3,5},{4},{6},{7}} => {{1,2,3,6},{4,5},{7}} => 7
[2,1,5,3,4,7,6] => {{1,2},{3,5},{4},{6,7}} => {{1,2,7},{3,5},{4},{6}} => {{1},{2,3,6},{4,5},{7}} => 4
[2,1,5,3,6,4,7] => {{1,2},{3,5,6},{4},{7}} => {{1,2},{3,5},{4,6},{7}} => {{1,2,4,6},{3,5},{7}} => 7
[2,1,5,3,6,7,4] => {{1,2},{3,5,6,7},{4}} => {{1,2},{3,5,7},{4,6}} => {{1,6},{2,4},{3,5},{7}} => 3
[2,1,5,3,7,4,6] => {{1,2},{3,5,7},{4},{6}} => {{1,2},{3,5,7},{4},{6}} => {{1,6},{2,3},{4,5},{7}} => 3
[2,1,5,3,7,6,4] => {{1,2},{3,5,7},{4},{6}} => {{1,2},{3,5,7},{4},{6}} => {{1,6},{2,3},{4,5},{7}} => 3
[2,1,5,4,3,6,7] => {{1,2},{3,5},{4},{6},{7}} => {{1,2},{3,5},{4},{6},{7}} => {{1,2,3,6},{4,5},{7}} => 7
[2,1,5,4,3,7,6] => {{1,2},{3,5},{4},{6,7}} => {{1,2,7},{3,5},{4},{6}} => {{1},{2,3,6},{4,5},{7}} => 4
[2,1,5,4,6,3,7] => {{1,2},{3,5,6},{4},{7}} => {{1,2},{3,5},{4,6},{7}} => {{1,2,4,6},{3,5},{7}} => 7
[2,1,5,4,6,7,3] => {{1,2},{3,5,6,7},{4}} => {{1,2},{3,5,7},{4,6}} => {{1,6},{2,4},{3,5},{7}} => 3
[2,1,5,4,7,3,6] => {{1,2},{3,5,7},{4},{6}} => {{1,2},{3,5,7},{4},{6}} => {{1,6},{2,3},{4,5},{7}} => 3
[2,1,5,4,7,6,3] => {{1,2},{3,5,7},{4},{6}} => {{1,2},{3,5,7},{4},{6}} => {{1,6},{2,3},{4,5},{7}} => 3
[2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => 3
[2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => {{1,2,6},{3,5},{4,7}} => {{1,4},{2,6},{3,5},{7}} => 3
[2,1,5,6,4,3,7] => {{1,2},{3,5},{4,6},{7}} => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => 3
[2,1,5,6,4,7,3] => {{1,2},{3,5},{4,6,7}} => {{1,2,6},{3,5},{4,7}} => {{1,4},{2,6},{3,5},{7}} => 3
[2,1,5,6,7,3,4] => {{1,2},{3,5,7},{4,6}} => {{1,2,6},{3,5,7},{4}} => {{1,3},{2,6},{4,5},{7}} => 3
[2,1,5,6,7,4,3] => {{1,2},{3,5,7},{4,6}} => {{1,2,6},{3,5,7},{4}} => {{1,3},{2,6},{4,5},{7}} => 3
[2,1,5,7,3,4,6] => {{1,2},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7},{6}} => {{1,4,6},{2,3,5},{7}} => 6
[2,1,5,7,3,6,4] => {{1,2},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7},{6}} => {{1,4,6},{2,3,5},{7}} => 6
[2,1,5,7,4,3,6] => {{1,2},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7},{6}} => {{1,4,6},{2,3,5},{7}} => 6
[2,1,5,7,4,6,3] => {{1,2},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7},{6}} => {{1,4,6},{2,3,5},{7}} => 6
[2,1,5,7,6,3,4] => {{1,2},{3,5,6},{4,7}} => {{1,2,7},{3,5},{4,6}} => {{1},{2,4,6},{3,5},{7}} => 4
[2,1,5,7,6,4,3] => {{1,2},{3,5,6},{4,7}} => {{1,2,7},{3,5},{4,6}} => {{1},{2,4,6},{3,5},{7}} => 4
[2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => {{1,2},{3},{4,6},{5},{7}} => {{1,2,5,6},{3,4},{7}} => 7
[2,1,6,3,4,7,5] => {{1,2},{3,6,7},{4},{5}} => {{1,2},{3},{4,6},{5,7}} => {{1,3,5,6},{2,4},{7}} => 7
[2,1,6,3,5,4,7] => {{1,2},{3,6},{4},{5},{7}} => {{1,2},{3},{4,6},{5},{7}} => {{1,2,5,6},{3,4},{7}} => 7
[2,1,6,3,5,7,4] => {{1,2},{3,6,7},{4},{5}} => {{1,2},{3},{4,6},{5,7}} => {{1,3,5,6},{2,4},{7}} => 7
[2,1,6,3,7,4,5] => {{1,2},{3,6},{4},{5,7}} => {{1,2,7},{3},{4,6},{5}} => {{1},{2,5,6},{3,4},{7}} => 4
[2,1,6,3,7,5,4] => {{1,2},{3,6},{4},{5,7}} => {{1,2,7},{3},{4,6},{5}} => {{1},{2,5,6},{3,4},{7}} => 4
[2,1,6,4,3,5,7] => {{1,2},{3,6},{4},{5},{7}} => {{1,2},{3},{4,6},{5},{7}} => {{1,2,5,6},{3,4},{7}} => 7
[2,1,6,4,3,7,5] => {{1,2},{3,6,7},{4},{5}} => {{1,2},{3},{4,6},{5,7}} => {{1,3,5,6},{2,4},{7}} => 7
[2,1,6,4,5,3,7] => {{1,2},{3,6},{4},{5},{7}} => {{1,2},{3},{4,6},{5},{7}} => {{1,2,5,6},{3,4},{7}} => 7
[2,1,6,4,5,7,3] => {{1,2},{3,6,7},{4},{5}} => {{1,2},{3},{4,6},{5,7}} => {{1,3,5,6},{2,4},{7}} => 7
[2,1,6,4,7,3,5] => {{1,2},{3,6},{4},{5,7}} => {{1,2,7},{3},{4,6},{5}} => {{1},{2,5,6},{3,4},{7}} => 4
[2,1,6,4,7,5,3] => {{1,2},{3,6},{4},{5,7}} => {{1,2,7},{3},{4,6},{5}} => {{1},{2,5,6},{3,4},{7}} => 4
[2,1,6,5,3,4,7] => {{1,2},{3,6},{4,5},{7}} => {{1,2,5},{3},{4,6},{7}} => {{1,2,4},{3,5,6},{7}} => 6
[2,1,6,5,3,7,4] => {{1,2},{3,6,7},{4,5}} => {{1,2,5,7},{3},{4,6}} => {{1},{2,4},{3,5,6},{7}} => 4
[2,1,6,5,4,3,7] => {{1,2},{3,6},{4,5},{7}} => {{1,2,5},{3},{4,6},{7}} => {{1,2,4},{3,5,6},{7}} => 6
[2,1,6,5,4,7,3] => {{1,2},{3,6,7},{4,5}} => {{1,2,5,7},{3},{4,6}} => {{1},{2,4},{3,5,6},{7}} => 4
[2,1,6,5,7,3,4] => {{1,2},{3,6},{4,5,7}} => {{1,2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6},{7}} => 3
[2,1,6,5,7,4,3] => {{1,2},{3,6},{4,5,7}} => {{1,2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6},{7}} => 3
[2,1,6,7,3,4,5] => {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} => {{1,6},{2,5},{3,4},{7}} => 3
[2,1,6,7,3,5,4] => {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} => {{1,6},{2,5},{3,4},{7}} => 3
[2,1,6,7,4,3,5] => {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} => {{1,6},{2,5},{3,4},{7}} => 3
[2,1,6,7,4,5,3] => {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} => {{1,6},{2,5},{3,4},{7}} => 3
[2,1,6,7,5,3,4] => {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} => {{1,6},{2,5},{3,4},{7}} => 3
[2,1,6,7,5,4,3] => {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}} => {{1,6},{2,5},{3,4},{7}} => 3
[2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}} => 7
[2,1,7,3,4,6,5] => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}} => 7
[2,1,7,3,5,4,6] => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}} => 7
[2,1,7,3,5,6,4] => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}} => 7
[2,1,7,3,6,4,5] => {{1,2},{3,7},{4},{5,6}} => {{1,2,6},{3},{4},{5,7}} => {{1,3},{2,4,5,6},{7}} => 7
[2,1,7,3,6,5,4] => {{1,2},{3,7},{4},{5,6}} => {{1,2,6},{3},{4},{5,7}} => {{1,3},{2,4,5,6},{7}} => 7
[2,1,7,4,3,5,6] => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}} => 7
[2,1,7,4,3,6,5] => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}} => 7
[2,1,7,4,5,3,6] => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}} => 7
[2,1,7,4,5,6,3] => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}} => 7
[2,1,7,4,6,3,5] => {{1,2},{3,7},{4},{5,6}} => {{1,2,6},{3},{4},{5,7}} => {{1,3},{2,4,5,6},{7}} => 7
[2,1,7,4,6,5,3] => {{1,2},{3,7},{4},{5,6}} => {{1,2,6},{3},{4},{5,7}} => {{1,3},{2,4,5,6},{7}} => 7
[2,1,7,5,3,4,6] => {{1,2},{3,7},{4,5},{6}} => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 4
[2,1,7,5,3,6,4] => {{1,2},{3,7},{4,5},{6}} => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 4
[2,1,7,5,4,3,6] => {{1,2},{3,7},{4,5},{6}} => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 4
[2,1,7,5,4,6,3] => {{1,2},{3,7},{4,5},{6}} => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 4
[2,1,7,5,6,3,4] => {{1,2},{3,7},{4,5,6}} => {{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}} => 4
[2,1,7,5,6,4,3] => {{1,2},{3,7},{4,5,6}} => {{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}} => 4
[2,1,7,6,3,4,5] => {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4},{5,7}} => {{1,3,6},{2,4,5},{7}} => 6
[2,1,7,6,3,5,4] => {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4},{5,7}} => {{1,3,6},{2,4,5},{7}} => 6
[2,1,7,6,4,3,5] => {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4},{5,7}} => {{1,3,6},{2,4,5},{7}} => 6
[2,1,7,6,4,5,3] => {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4},{5,7}} => {{1,3,6},{2,4,5},{7}} => 6
[2,1,7,6,5,3,4] => {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4},{5,7}} => {{1,3,6},{2,4,5},{7}} => 6
[2,1,7,6,5,4,3] => {{1,2},{3,7},{4,6},{5}} => {{1,2},{3,6},{4},{5,7}} => {{1,3,6},{2,4,5},{7}} => 6
[2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => {{1,2,3,4,5},{6},{7}} => 10
[2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => {{1,2,3,7},{4},{5},{6}} => {{1},{2,3,4,5},{6},{7}} => 6
[2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => {{1,2,3,6},{4},{5},{7}} => {{1,2},{3,4,5},{6},{7}} => 4
[2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => {{1,2,3,6},{4,7},{5}} => {{1,3,4},{2,5},{6},{7}} => 4
[2,3,1,4,7,5,6] => {{1,2,3},{4},{5,7},{6}} => {{1,2,3},{4,7},{5},{6}} => {{1,5},{2,3,4},{6},{7}} => 4
[2,3,1,4,7,6,5] => {{1,2,3},{4},{5,7},{6}} => {{1,2,3},{4,7},{5},{6}} => {{1,5},{2,3,4},{6},{7}} => 4
[2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => 4
[2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => {{1,2,3,5},{4,7},{6}} => {{1,4},{2,3,5},{6},{7}} => 4
[2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => {{1,2,3,5},{4,6},{7}} => {{1,2,4},{3,5},{6},{7}} => 4
[2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 2
[2,3,1,5,7,4,6] => {{1,2,3},{4,5,7},{6}} => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[2,3,1,5,7,6,4] => {{1,2,3},{4,5,7},{6}} => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[2,3,1,6,4,5,7] => {{1,2,3},{4,6},{5},{7}} => {{1,2,3},{4,6},{5},{7}} => {{1,2,5},{3,4},{6},{7}} => 4
[2,3,1,6,4,7,5] => {{1,2,3},{4,6,7},{5}} => {{1,2,3},{4,6},{5,7}} => {{1,3,5},{2,4},{6},{7}} => 4
[2,3,1,6,5,4,7] => {{1,2,3},{4,6},{5},{7}} => {{1,2,3},{4,6},{5},{7}} => {{1,2,5},{3,4},{6},{7}} => 4
[2,3,1,6,5,7,4] => {{1,2,3},{4,6,7},{5}} => {{1,2,3},{4,6},{5,7}} => {{1,3,5},{2,4},{6},{7}} => 4
[2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => {{1,2,3,7},{4,6},{5}} => {{1},{2,5},{3,4},{6},{7}} => 2
[2,3,1,6,7,5,4] => {{1,2,3},{4,6},{5,7}} => {{1,2,3,7},{4,6},{5}} => {{1},{2,5},{3,4},{6},{7}} => 2
[2,3,1,7,4,5,6] => {{1,2,3},{4,7},{5},{6}} => {{1,2,3},{4},{5,7},{6}} => {{1,4,5},{2,3},{6},{7}} => 4
[2,3,1,7,4,6,5] => {{1,2,3},{4,7},{5},{6}} => {{1,2,3},{4},{5,7},{6}} => {{1,4,5},{2,3},{6},{7}} => 4
[2,3,1,7,5,4,6] => {{1,2,3},{4,7},{5},{6}} => {{1,2,3},{4},{5,7},{6}} => {{1,4,5},{2,3},{6},{7}} => 4
[2,3,1,7,5,6,4] => {{1,2,3},{4,7},{5},{6}} => {{1,2,3},{4},{5,7},{6}} => {{1,4,5},{2,3},{6},{7}} => 4
[2,3,1,7,6,4,5] => {{1,2,3},{4,7},{5,6}} => {{1,2,3,6},{4},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 4
[2,3,1,7,6,5,4] => {{1,2,3},{4,7},{5,6}} => {{1,2,3,6},{4},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 4
[2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => 6
[2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 3
[2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 2
[2,3,4,1,7,5,6] => {{1,2,3,4},{5,7},{6}} => {{1,2,3,4},{5,7},{6}} => {{1,4},{2,3},{5},{6},{7}} => 2
[2,3,4,1,7,6,5] => {{1,2,3,4},{5,7},{6}} => {{1,2,3,4},{5,7},{6}} => {{1,4},{2,3},{5},{6},{7}} => 2
[2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 3
[2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[2,3,4,5,7,1,6] => {{1,2,3,4,5,7},{6}} => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 1
[2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 1
[2,3,4,6,1,5,7] => {{1,2,3,4,6},{5},{7}} => {{1,2,3,4},{5,6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 3
[2,3,4,6,1,7,5] => {{1,2,3,4,6,7},{5}} => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 1
[2,3,4,6,5,1,7] => {{1,2,3,4,6},{5},{7}} => {{1,2,3,4},{5,6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 3
[2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 1
[2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 1
[2,3,4,6,7,5,1] => {{1,2,3,4,6},{5,7}} => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 1
[2,3,4,7,1,5,6] => {{1,2,3,4,7},{5},{6}} => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 3
[2,3,4,7,1,6,5] => {{1,2,3,4,7},{5},{6}} => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 3
[2,3,4,7,5,1,6] => {{1,2,3,4,7},{5},{6}} => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 3
[2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 3
[2,3,4,7,6,1,5] => {{1,2,3,4,7},{5,6}} => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[2,3,5,1,4,6,7] => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7}} => 6
[2,3,5,1,4,7,6] => {{1,2,3,5},{4},{6,7}} => {{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}} => 3
[2,3,5,1,6,4,7] => {{1,2,3,5,6},{4},{7}} => {{1,2,3},{4,5,6},{7}} => {{1,2,5},{3},{4},{6},{7}} => 3
[2,3,5,1,6,7,4] => {{1,2,3,5,6,7},{4}} => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 1
[2,3,5,1,7,4,6] => {{1,2,3,5,7},{4},{6}} => {{1,2,3},{4,5},{6,7}} => {{1,3,5},{2},{4},{6},{7}} => 3
[2,3,5,1,7,6,4] => {{1,2,3,5,7},{4},{6}} => {{1,2,3},{4,5},{6,7}} => {{1,3,5},{2},{4},{6},{7}} => 3
[2,3,5,4,1,6,7] => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7}} => 6
[2,3,5,4,1,7,6] => {{1,2,3,5},{4},{6,7}} => {{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}} => 3
[2,3,5,4,6,1,7] => {{1,2,3,5,6},{4},{7}} => {{1,2,3},{4,5,6},{7}} => {{1,2,5},{3},{4},{6},{7}} => 3
[2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 1
[2,3,5,4,7,1,6] => {{1,2,3,5,7},{4},{6}} => {{1,2,3},{4,5},{6,7}} => {{1,3,5},{2},{4},{6},{7}} => 3
[2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => {{1,2,3},{4,5},{6,7}} => {{1,3,5},{2},{4},{6},{7}} => 3
[2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => {{1,2,3,6},{4,5},{7}} => {{1,2},{3,5},{4},{6},{7}} => 2
[2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 2
[2,3,5,6,4,1,7] => {{1,2,3,5},{4,6},{7}} => {{1,2,3,6},{4,5},{7}} => {{1,2},{3,5},{4},{6},{7}} => 2
[2,3,5,6,4,7,1] => {{1,2,3,5},{4,6,7}} => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 2
[2,3,5,6,7,1,4] => {{1,2,3,5,7},{4,6}} => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 1
[2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 1
[2,3,5,7,1,4,6] => {{1,2,3,5},{4,7},{6}} => {{1,2,3},{4,5,7},{6}} => {{1,5},{2,3},{4},{6},{7}} => 2
[2,3,5,7,1,6,4] => {{1,2,3,5},{4,7},{6}} => {{1,2,3},{4,5,7},{6}} => {{1,5},{2,3},{4},{6},{7}} => 2
[2,3,5,7,4,1,6] => {{1,2,3,5},{4,7},{6}} => {{1,2,3},{4,5,7},{6}} => {{1,5},{2,3},{4},{6},{7}} => 2
[2,3,5,7,4,6,1] => {{1,2,3,5},{4,7},{6}} => {{1,2,3},{4,5,7},{6}} => {{1,5},{2,3},{4},{6},{7}} => 2
[2,3,5,7,6,1,4] => {{1,2,3,5,6},{4,7}} => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 1
[2,3,5,7,6,4,1] => {{1,2,3,5,6},{4,7}} => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 1
[2,3,6,1,4,5,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2,3},{4},{5,6},{7}} => {{1,2,4,5},{3},{6},{7}} => 6
[2,3,6,1,4,7,5] => {{1,2,3,6,7},{4},{5}} => {{1,2,3},{4},{5,6,7}} => {{1,4,5},{2},{3},{6},{7}} => 3
[2,3,6,1,5,4,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2,3},{4},{5,6},{7}} => {{1,2,4,5},{3},{6},{7}} => 6
[2,3,6,1,5,7,4] => {{1,2,3,6,7},{4},{5}} => {{1,2,3},{4},{5,6,7}} => {{1,4,5},{2},{3},{6},{7}} => 3
[2,3,6,1,7,4,5] => {{1,2,3,6},{4},{5,7}} => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 3
[2,3,6,1,7,5,4] => {{1,2,3,6},{4},{5,7}} => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 3
[2,3,6,4,1,5,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2,3},{4},{5,6},{7}} => {{1,2,4,5},{3},{6},{7}} => 6
[2,3,6,4,1,7,5] => {{1,2,3,6,7},{4},{5}} => {{1,2,3},{4},{5,6,7}} => {{1,4,5},{2},{3},{6},{7}} => 3
[2,3,6,4,5,1,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2,3},{4},{5,6},{7}} => {{1,2,4,5},{3},{6},{7}} => 6
[2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => {{1,2,3},{4},{5,6,7}} => {{1,4,5},{2},{3},{6},{7}} => 3
[2,3,6,4,7,1,5] => {{1,2,3,6},{4},{5,7}} => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 3
[2,3,6,4,7,5,1] => {{1,2,3,6},{4},{5,7}} => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 3
[2,3,6,5,1,4,7] => {{1,2,3,6},{4,5},{7}} => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[2,3,6,5,1,7,4] => {{1,2,3,6,7},{4,5}} => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}} => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[2,3,6,5,7,1,4] => {{1,2,3,6},{4,5,7}} => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 2
[2,3,6,5,7,4,1] => {{1,2,3,6},{4,5,7}} => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 2
[2,3,6,7,1,4,5] => {{1,2,3,6},{4,7},{5}} => {{1,2,3},{4,7},{5,6}} => {{1,5},{2,4},{3},{6},{7}} => 2
[2,3,6,7,1,5,4] => {{1,2,3,6},{4,7},{5}} => {{1,2,3},{4,7},{5,6}} => {{1,5},{2,4},{3},{6},{7}} => 2
[2,3,6,7,4,1,5] => {{1,2,3,6},{4,7},{5}} => {{1,2,3},{4,7},{5,6}} => {{1,5},{2,4},{3},{6},{7}} => 2
[2,3,6,7,4,5,1] => {{1,2,3,6},{4,7},{5}} => {{1,2,3},{4,7},{5,6}} => {{1,5},{2,4},{3},{6},{7}} => 2
[2,3,6,7,5,1,4] => {{1,2,3,6},{4,7},{5}} => {{1,2,3},{4,7},{5,6}} => {{1,5},{2,4},{3},{6},{7}} => 2
[2,3,6,7,5,4,1] => {{1,2,3,6},{4,7},{5}} => {{1,2,3},{4,7},{5,6}} => {{1,5},{2,4},{3},{6},{7}} => 2
[2,3,7,1,4,5,6] => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 6
[2,3,7,1,4,6,5] => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 6
[2,3,7,1,5,4,6] => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 6
[2,3,7,1,5,6,4] => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 6
[2,3,7,1,6,4,5] => {{1,2,3,7},{4},{5,6}} => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 3
[2,3,7,1,6,5,4] => {{1,2,3,7},{4},{5,6}} => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 3
[2,3,7,4,1,5,6] => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 6
[2,3,7,4,1,6,5] => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 6
[2,3,7,4,5,1,6] => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 6
[2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 6
[2,3,7,4,6,1,5] => {{1,2,3,7},{4},{5,6}} => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 3
[2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 3
[2,3,7,5,1,4,6] => {{1,2,3,7},{4,5},{6}} => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 2
[2,3,7,5,1,6,4] => {{1,2,3,7},{4,5},{6}} => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 2
[2,3,7,5,4,1,6] => {{1,2,3,7},{4,5},{6}} => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 2
[2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 2
[2,3,7,5,6,1,4] => {{1,2,3,7},{4,5,6}} => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 2
[2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 2
[2,3,7,6,1,4,5] => {{1,2,3,7},{4,6},{5}} => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 2
[2,3,7,6,1,5,4] => {{1,2,3,7},{4,6},{5}} => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 2
[2,3,7,6,4,1,5] => {{1,2,3,7},{4,6},{5}} => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 2
[2,3,7,6,4,5,1] => {{1,2,3,7},{4,6},{5}} => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 2
[2,3,7,6,5,1,4] => {{1,2,3,7},{4,6},{5}} => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 2
[2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 2
[2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => {{1,2},{3,4},{5},{6},{7}} => {{1,2,3,4,6},{5},{7}} => 10
[2,4,1,3,5,7,6] => {{1,2,4},{3},{5},{6,7}} => {{1,2,7},{3,4},{5},{6}} => {{1},{2,3,4,6},{5},{7}} => 6
[2,4,1,3,6,5,7] => {{1,2,4},{3},{5,6},{7}} => {{1,2,6},{3,4},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => 4
[2,4,1,3,6,7,5] => {{1,2,4},{3},{5,6,7}} => {{1,2,6},{3,4,7},{5}} => {{1,3,4},{2,6},{5},{7}} => 4
[2,4,1,3,7,5,6] => {{1,2,4},{3},{5,7},{6}} => {{1,2},{3,4,7},{5},{6}} => {{1,6},{2,3,4},{5},{7}} => 4
[2,4,1,3,7,6,5] => {{1,2,4},{3},{5,7},{6}} => {{1,2},{3,4,7},{5},{6}} => {{1,6},{2,3,4},{5},{7}} => 4
[2,4,1,5,3,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1,2},{3,4,5},{6},{7}} => {{1,2,3,6},{4},{5},{7}} => 6
[2,4,1,5,3,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,2,7},{3,4,5},{6}} => {{1},{2,3,6},{4},{5},{7}} => 3
[2,4,1,5,6,3,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3,4,5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => 3
[2,4,1,5,6,7,3] => {{1,2,4,5,6,7},{3}} => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 1
[2,4,1,5,7,3,6] => {{1,2,4,5,7},{3},{6}} => {{1,2},{3,4,5},{6,7}} => {{1,3,6},{2},{4},{5},{7}} => 3
[2,4,1,5,7,6,3] => {{1,2,4,5,7},{3},{6}} => {{1,2},{3,4,5},{6,7}} => {{1,3,6},{2},{4},{5},{7}} => 3
[2,4,1,6,3,5,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => {{1,2,4,6},{3},{5},{7}} => 6
[2,4,1,6,3,7,5] => {{1,2,4,6,7},{3},{5}} => {{1,2},{3,4},{5,6,7}} => {{1,4,6},{2},{3},{5},{7}} => 3
[2,4,1,6,5,3,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => {{1,2,4,6},{3},{5},{7}} => 6
[2,4,1,6,5,7,3] => {{1,2,4,6,7},{3},{5}} => {{1,2},{3,4},{5,6,7}} => {{1,4,6},{2},{3},{5},{7}} => 3
[2,4,1,6,7,3,5] => {{1,2,4,6},{3},{5,7}} => {{1,2,7},{3,4},{5,6}} => {{1},{2,4,6},{3},{5},{7}} => 3
[2,4,1,6,7,5,3] => {{1,2,4,6},{3},{5,7}} => {{1,2,7},{3,4},{5,6}} => {{1},{2,4,6},{3},{5},{7}} => 3
[2,4,1,7,3,5,6] => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}} => 6
[2,4,1,7,3,6,5] => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}} => 6
[2,4,1,7,5,3,6] => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}} => 6
[2,4,1,7,5,6,3] => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}} => 6
[2,4,1,7,6,3,5] => {{1,2,4,7},{3},{5,6}} => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 3
[2,4,1,7,6,5,3] => {{1,2,4,7},{3},{5,6}} => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 3
[2,4,3,1,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => {{1,2},{3,4},{5},{6},{7}} => {{1,2,3,4,6},{5},{7}} => 10
[2,4,3,1,5,7,6] => {{1,2,4},{3},{5},{6,7}} => {{1,2,7},{3,4},{5},{6}} => {{1},{2,3,4,6},{5},{7}} => 6
[2,4,3,1,6,5,7] => {{1,2,4},{3},{5,6},{7}} => {{1,2,6},{3,4},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => 4
[2,4,3,1,6,7,5] => {{1,2,4},{3},{5,6,7}} => {{1,2,6},{3,4,7},{5}} => {{1,3,4},{2,6},{5},{7}} => 4
[2,4,3,1,7,5,6] => {{1,2,4},{3},{5,7},{6}} => {{1,2},{3,4,7},{5},{6}} => {{1,6},{2,3,4},{5},{7}} => 4
[2,4,3,1,7,6,5] => {{1,2,4},{3},{5,7},{6}} => {{1,2},{3,4,7},{5},{6}} => {{1,6},{2,3,4},{5},{7}} => 4
[2,4,3,5,1,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1,2},{3,4,5},{6},{7}} => {{1,2,3,6},{4},{5},{7}} => 6
[2,4,3,5,1,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,2,7},{3,4,5},{6}} => {{1},{2,3,6},{4},{5},{7}} => 3
[2,4,3,5,6,1,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3,4,5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => 3
[2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 1
[2,4,3,5,7,1,6] => {{1,2,4,5,7},{3},{6}} => {{1,2},{3,4,5},{6,7}} => {{1,3,6},{2},{4},{5},{7}} => 3
[2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => {{1,2},{3,4,5},{6,7}} => {{1,3,6},{2},{4},{5},{7}} => 3
[2,4,3,6,1,5,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => {{1,2,4,6},{3},{5},{7}} => 6
[2,4,3,6,1,7,5] => {{1,2,4,6,7},{3},{5}} => {{1,2},{3,4},{5,6,7}} => {{1,4,6},{2},{3},{5},{7}} => 3
[2,4,3,6,5,1,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => {{1,2,4,6},{3},{5},{7}} => 6
[2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => {{1,2},{3,4},{5,6,7}} => {{1,4,6},{2},{3},{5},{7}} => 3
[2,4,3,6,7,1,5] => {{1,2,4,6},{3},{5,7}} => {{1,2,7},{3,4},{5,6}} => {{1},{2,4,6},{3},{5},{7}} => 3
[2,4,3,6,7,5,1] => {{1,2,4,6},{3},{5,7}} => {{1,2,7},{3,4},{5,6}} => {{1},{2,4,6},{3},{5},{7}} => 3
[2,4,3,7,1,5,6] => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}} => 6
[2,4,3,7,1,6,5] => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}} => 6
[2,4,3,7,5,1,6] => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}} => 6
[2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}} => 6
[2,4,3,7,6,1,5] => {{1,2,4,7},{3},{5,6}} => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 3
[2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 3
[2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => {{1,2,5},{3,4},{6},{7}} => {{1,2,3},{4,6},{5},{7}} => 4
[2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => {{1,2,5},{3,4,7},{6}} => {{1,4},{2,3,6},{5},{7}} => 4
[2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3,4,6},{7}} => {{1,2,4},{3,6},{5},{7}} => 4
[2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 2
[2,4,5,1,7,3,6] => {{1,2,4},{3,5,7},{6}} => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 2
[2,4,5,1,7,6,3] => {{1,2,4},{3,5,7},{6}} => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 2
[2,4,5,3,1,6,7] => {{1,2,4},{3,5},{6},{7}} => {{1,2,5},{3,4},{6},{7}} => {{1,2,3},{4,6},{5},{7}} => 4
[2,4,5,3,1,7,6] => {{1,2,4},{3,5},{6,7}} => {{1,2,5},{3,4,7},{6}} => {{1,4},{2,3,6},{5},{7}} => 4
[2,4,5,3,6,1,7] => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3,4,6},{7}} => {{1,2,4},{3,6},{5},{7}} => 4
[2,4,5,3,6,7,1] => {{1,2,4},{3,5,6,7}} => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 2
[2,4,5,3,7,1,6] => {{1,2,4},{3,5,7},{6}} => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 2
[2,4,5,3,7,6,1] => {{1,2,4},{3,5,7},{6}} => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 2
[2,4,5,6,1,3,7] => {{1,2,4,6},{3,5},{7}} => {{1,2,5,6},{3,4},{7}} => {{1,2},{3},{4,6},{5},{7}} => 2
[2,4,5,6,1,7,3] => {{1,2,4,6,7},{3,5}} => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 1
[2,4,5,6,3,1,7] => {{1,2,4,6},{3,5},{7}} => {{1,2,5,6},{3,4},{7}} => {{1,2},{3},{4,6},{5},{7}} => 2
[2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 1
[2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 2
[2,4,5,6,7,3,1] => {{1,2,4,6},{3,5,7}} => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 2
[2,4,5,7,1,3,6] => {{1,2,4,7},{3,5},{6}} => {{1,2,5},{3,4},{6,7}} => {{1,3},{2},{4,6},{5},{7}} => 2
[2,4,5,7,1,6,3] => {{1,2,4,7},{3,5},{6}} => {{1,2,5},{3,4},{6,7}} => {{1,3},{2},{4,6},{5},{7}} => 2
[2,4,5,7,3,1,6] => {{1,2,4,7},{3,5},{6}} => {{1,2,5},{3,4},{6,7}} => {{1,3},{2},{4,6},{5},{7}} => 2
[2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => {{1,2,5},{3,4},{6,7}} => {{1,3},{2},{4,6},{5},{7}} => 2
[2,4,5,7,6,1,3] => {{1,2,4,7},{3,5,6}} => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 2
[2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 2
[2,4,6,1,3,5,7] => {{1,2,4},{3,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => {{1,2,6},{3,4},{5},{7}} => 4
[2,4,6,1,3,7,5] => {{1,2,4},{3,6,7},{5}} => {{1,2},{3,4,6},{5,7}} => {{1,3,6},{2,4},{5},{7}} => 4
[2,4,6,1,5,3,7] => {{1,2,4},{3,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => {{1,2,6},{3,4},{5},{7}} => 4
[2,4,6,1,5,7,3] => {{1,2,4},{3,6,7},{5}} => {{1,2},{3,4,6},{5,7}} => {{1,3,6},{2,4},{5},{7}} => 4
[2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => {{1,2,7},{3,4,6},{5}} => {{1},{2,6},{3,4},{5},{7}} => 2
[2,4,6,1,7,5,3] => {{1,2,4},{3,6},{5,7}} => {{1,2,7},{3,4,6},{5}} => {{1},{2,6},{3,4},{5},{7}} => 2
[2,4,6,3,1,5,7] => {{1,2,4},{3,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => {{1,2,6},{3,4},{5},{7}} => 4
[2,4,6,3,1,7,5] => {{1,2,4},{3,6,7},{5}} => {{1,2},{3,4,6},{5,7}} => {{1,3,6},{2,4},{5},{7}} => 4
[2,4,6,3,5,1,7] => {{1,2,4},{3,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => {{1,2,6},{3,4},{5},{7}} => 4
[2,4,6,3,5,7,1] => {{1,2,4},{3,6,7},{5}} => {{1,2},{3,4,6},{5,7}} => {{1,3,6},{2,4},{5},{7}} => 4
[2,4,6,3,7,1,5] => {{1,2,4},{3,6},{5,7}} => {{1,2,7},{3,4,6},{5}} => {{1},{2,6},{3,4},{5},{7}} => 2
[2,4,6,3,7,5,1] => {{1,2,4},{3,6},{5,7}} => {{1,2,7},{3,4,6},{5}} => {{1},{2,6},{3,4},{5},{7}} => 2
[2,4,6,5,1,3,7] => {{1,2,4,5},{3,6},{7}} => {{1,2,6},{3,4,5},{7}} => {{1,2},{3,6},{4},{5},{7}} => 2
[2,4,6,5,1,7,3] => {{1,2,4,5},{3,6,7}} => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 2
[2,4,6,5,3,1,7] => {{1,2,4,5},{3,6},{7}} => {{1,2,6},{3,4,5},{7}} => {{1,2},{3,6},{4},{5},{7}} => 2
[2,4,6,5,3,7,1] => {{1,2,4,5},{3,6,7}} => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 2
[2,4,6,5,7,1,3] => {{1,2,4,5,7},{3,6}} => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 1
[2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 1
[2,4,6,7,1,3,5] => {{1,2,4,7},{3,6},{5}} => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 2
[2,4,6,7,1,5,3] => {{1,2,4,7},{3,6},{5}} => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 2
[2,4,6,7,3,1,5] => {{1,2,4,7},{3,6},{5}} => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 2
[2,4,6,7,3,5,1] => {{1,2,4,7},{3,6},{5}} => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 2
[2,4,6,7,5,1,3] => {{1,2,4,7},{3,6},{5}} => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 2
[2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 2
[2,4,7,1,3,5,6] => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}} => 4
[2,4,7,1,3,6,5] => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}} => 4
[2,4,7,1,5,3,6] => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}} => 4
[2,4,7,1,5,6,3] => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}} => 4
[2,4,7,1,6,3,5] => {{1,2,4},{3,7},{5,6}} => {{1,2,6},{3,4},{5,7}} => {{1,3},{2,4,6},{5},{7}} => 4
[2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => {{1,2,6},{3,4},{5,7}} => {{1,3},{2,4,6},{5},{7}} => 4
[2,4,7,3,1,5,6] => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}} => 4
[2,4,7,3,1,6,5] => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}} => 4
[2,4,7,3,5,1,6] => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}} => 4
[2,4,7,3,5,6,1] => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}} => 4
[2,4,7,3,6,1,5] => {{1,2,4},{3,7},{5,6}} => {{1,2,6},{3,4},{5,7}} => {{1,3},{2,4,6},{5},{7}} => 4
[2,4,7,3,6,5,1] => {{1,2,4},{3,7},{5,6}} => {{1,2,6},{3,4},{5,7}} => {{1,3},{2,4,6},{5},{7}} => 4
[2,4,7,5,1,3,6] => {{1,2,4,5},{3,7},{6}} => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 2
[2,4,7,5,1,6,3] => {{1,2,4,5},{3,7},{6}} => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 2
[2,4,7,5,3,1,6] => {{1,2,4,5},{3,7},{6}} => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 2
[2,4,7,5,3,6,1] => {{1,2,4,5},{3,7},{6}} => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 2
[2,4,7,5,6,1,3] => {{1,2,4,5,6},{3,7}} => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 1
[2,4,7,5,6,3,1] => {{1,2,4,5,6},{3,7}} => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 1
[2,4,7,6,1,3,5] => {{1,2,4,6},{3,7},{5}} => {{1,2},{3,4,7},{5,6}} => {{1,6},{2,4},{3},{5},{7}} => 2
[2,4,7,6,1,5,3] => {{1,2,4,6},{3,7},{5}} => {{1,2},{3,4,7},{5,6}} => {{1,6},{2,4},{3},{5},{7}} => 2
[2,4,7,6,3,1,5] => {{1,2,4,6},{3,7},{5}} => {{1,2},{3,4,7},{5,6}} => {{1,6},{2,4},{3},{5},{7}} => 2
[2,4,7,6,3,5,1] => {{1,2,4,6},{3,7},{5}} => {{1,2},{3,4,7},{5,6}} => {{1,6},{2,4},{3},{5},{7}} => 2
[2,4,7,6,5,1,3] => {{1,2,4,6},{3,7},{5}} => {{1,2},{3,4,7},{5,6}} => {{1,6},{2,4},{3},{5},{7}} => 2
[2,4,7,6,5,3,1] => {{1,2,4,6},{3,7},{5}} => {{1,2},{3,4,7},{5,6}} => {{1,6},{2,4},{3},{5},{7}} => 2
[2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => {{1,2},{3},{4,5},{6},{7}} => {{1,2,3,5,6},{4},{7}} => 10
[2,5,1,3,4,7,6] => {{1,2,5},{3},{4},{6,7}} => {{1,2,7},{3},{4,5},{6}} => {{1},{2,3,5,6},{4},{7}} => 6
[2,5,1,3,6,4,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => {{1,2,5,6},{3},{4},{7}} => 6
[2,5,1,3,6,7,4] => {{1,2,5,6,7},{3},{4}} => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 3
[2,5,1,3,7,4,6] => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}} => 6
[2,5,1,3,7,6,4] => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}} => 6
[2,5,1,4,3,6,7] => {{1,2,5},{3},{4},{6},{7}} => {{1,2},{3},{4,5},{6},{7}} => {{1,2,3,5,6},{4},{7}} => 10
[2,5,1,4,3,7,6] => {{1,2,5},{3},{4},{6,7}} => {{1,2,7},{3},{4,5},{6}} => {{1},{2,3,5,6},{4},{7}} => 6
[2,5,1,4,6,3,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => {{1,2,5,6},{3},{4},{7}} => 6
[2,5,1,4,6,7,3] => {{1,2,5,6,7},{3},{4}} => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 3
[2,5,1,4,7,3,6] => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}} => 6
[2,5,1,4,7,6,3] => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}} => 6
[2,5,1,6,3,4,7] => {{1,2,5},{3},{4,6},{7}} => {{1,2,6},{3},{4,5},{7}} => {{1,2},{3,5,6},{4},{7}} => 4
[2,5,1,6,3,7,4] => {{1,2,5},{3},{4,6,7}} => {{1,2,6},{3,7},{4,5}} => {{1,3,5},{2,6},{4},{7}} => 4
[2,5,1,6,4,3,7] => {{1,2,5},{3},{4,6},{7}} => {{1,2,6},{3},{4,5},{7}} => {{1,2},{3,5,6},{4},{7}} => 4
[2,5,1,6,4,7,3] => {{1,2,5},{3},{4,6,7}} => {{1,2,6},{3,7},{4,5}} => {{1,3,5},{2,6},{4},{7}} => 4
[2,5,1,6,7,3,4] => {{1,2,5,7},{3},{4,6}} => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 3
[2,5,1,6,7,4,3] => {{1,2,5,7},{3},{4,6}} => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 3
[2,5,1,7,3,4,6] => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}} => 4
[2,5,1,7,3,6,4] => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}} => 4
[2,5,1,7,4,3,6] => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}} => 4
[2,5,1,7,4,6,3] => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}} => 4
[2,5,1,7,6,3,4] => {{1,2,5,6},{3},{4,7}} => {{1,2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4},{7}} => 3
[2,5,1,7,6,4,3] => {{1,2,5,6},{3},{4,7}} => {{1,2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4},{7}} => 3
[2,5,3,1,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => {{1,2},{3},{4,5},{6},{7}} => {{1,2,3,5,6},{4},{7}} => 10
[2,5,3,1,4,7,6] => {{1,2,5},{3},{4},{6,7}} => {{1,2,7},{3},{4,5},{6}} => {{1},{2,3,5,6},{4},{7}} => 6
[2,5,3,1,6,4,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => {{1,2,5,6},{3},{4},{7}} => 6
[2,5,3,1,6,7,4] => {{1,2,5,6,7},{3},{4}} => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 3
[2,5,3,1,7,4,6] => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}} => 6
[2,5,3,1,7,6,4] => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}} => 6
[2,5,3,4,1,6,7] => {{1,2,5},{3},{4},{6},{7}} => {{1,2},{3},{4,5},{6},{7}} => {{1,2,3,5,6},{4},{7}} => 10
[2,5,3,4,1,7,6] => {{1,2,5},{3},{4},{6,7}} => {{1,2,7},{3},{4,5},{6}} => {{1},{2,3,5,6},{4},{7}} => 6
[2,5,3,4,6,1,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => {{1,2,5,6},{3},{4},{7}} => 6
[2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 3
[2,5,3,4,7,1,6] => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}} => 6
[2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}} => 6
[2,5,3,6,1,4,7] => {{1,2,5},{3},{4,6},{7}} => {{1,2,6},{3},{4,5},{7}} => {{1,2},{3,5,6},{4},{7}} => 4
[2,5,3,6,1,7,4] => {{1,2,5},{3},{4,6,7}} => {{1,2,6},{3,7},{4,5}} => {{1,3,5},{2,6},{4},{7}} => 4
[2,5,3,6,4,1,7] => {{1,2,5},{3},{4,6},{7}} => {{1,2,6},{3},{4,5},{7}} => {{1,2},{3,5,6},{4},{7}} => 4
[2,5,3,6,4,7,1] => {{1,2,5},{3},{4,6,7}} => {{1,2,6},{3,7},{4,5}} => {{1,3,5},{2,6},{4},{7}} => 4
[2,5,3,6,7,1,4] => {{1,2,5,7},{3},{4,6}} => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 3
[2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 3
[2,5,3,7,1,4,6] => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}} => 4
[2,5,3,7,1,6,4] => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}} => 4
[2,5,3,7,4,1,6] => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}} => 4
[2,5,3,7,4,6,1] => {{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}} => 4
[2,5,3,7,6,1,4] => {{1,2,5,6},{3},{4,7}} => {{1,2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4},{7}} => 3
[2,5,3,7,6,4,1] => {{1,2,5,6},{3},{4,7}} => {{1,2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4},{7}} => 3
[2,5,4,1,3,6,7] => {{1,2,5},{3,4},{6},{7}} => {{1,2,4,5},{3},{6},{7}} => {{1,2,3},{4},{5,6},{7}} => 4
[2,5,4,1,3,7,6] => {{1,2,5},{3,4},{6,7}} => {{1,2,4,5},{3,7},{6}} => {{1,5},{2,3,6},{4},{7}} => 4
[2,5,4,1,6,3,7] => {{1,2,5,6},{3,4},{7}} => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[2,5,4,1,6,7,3] => {{1,2,5,6,7},{3,4}} => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[2,5,4,1,7,3,6] => {{1,2,5,7},{3,4},{6}} => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 2
[2,5,4,1,7,6,3] => {{1,2,5,7},{3,4},{6}} => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 2
[2,5,4,3,1,6,7] => {{1,2,5},{3,4},{6},{7}} => {{1,2,4,5},{3},{6},{7}} => {{1,2,3},{4},{5,6},{7}} => 4
[2,5,4,3,1,7,6] => {{1,2,5},{3,4},{6,7}} => {{1,2,4,5},{3,7},{6}} => {{1,5},{2,3,6},{4},{7}} => 4
[2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[2,5,4,3,7,1,6] => {{1,2,5,7},{3,4},{6}} => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 2
[2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 2
[2,5,4,6,1,3,7] => {{1,2,5},{3,4,6},{7}} => {{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}} => 4
[2,5,4,6,1,7,3] => {{1,2,5},{3,4,6,7}} => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 2
[2,5,4,6,3,1,7] => {{1,2,5},{3,4,6},{7}} => {{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}} => 4
[2,5,4,6,3,7,1] => {{1,2,5},{3,4,6,7}} => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 2
[2,5,4,6,7,1,3] => {{1,2,5,7},{3,4,6}} => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 2
[2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 2
[2,5,4,7,1,3,6] => {{1,2,5},{3,4,7},{6}} => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[2,5,4,7,1,6,3] => {{1,2,5},{3,4,7},{6}} => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[2,5,4,7,3,1,6] => {{1,2,5},{3,4,7},{6}} => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[2,5,4,7,3,6,1] => {{1,2,5},{3,4,7},{6}} => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[2,5,4,7,6,1,3] => {{1,2,5,6},{3,4,7}} => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 2
[2,5,4,7,6,3,1] => {{1,2,5,6},{3,4,7}} => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 2
[2,5,6,1,3,4,7] => {{1,2,5},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => {{1,2,6},{3,5},{4},{7}} => 4
[2,5,6,1,3,7,4] => {{1,2,5},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7}} => {{1,3,6},{2,5},{4},{7}} => 4
[2,5,6,1,4,3,7] => {{1,2,5},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => {{1,2,6},{3,5},{4},{7}} => 4
[2,5,6,1,4,7,3] => {{1,2,5},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7}} => {{1,3,6},{2,5},{4},{7}} => 4
[2,5,6,1,7,3,4] => {{1,2,5,7},{3,6},{4}} => {{1,2},{3,6,7},{4,5}} => {{1,6},{2},{3,5},{4},{7}} => 2
[2,5,6,1,7,4,3] => {{1,2,5,7},{3,6},{4}} => {{1,2},{3,6,7},{4,5}} => {{1,6},{2},{3,5},{4},{7}} => 2
[2,5,6,3,1,4,7] => {{1,2,5},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => {{1,2,6},{3,5},{4},{7}} => 4
[2,5,6,3,1,7,4] => {{1,2,5},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7}} => {{1,3,6},{2,5},{4},{7}} => 4
[2,5,6,3,4,1,7] => {{1,2,5},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => {{1,2,6},{3,5},{4},{7}} => 4
[2,5,6,3,4,7,1] => {{1,2,5},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7}} => {{1,3,6},{2,5},{4},{7}} => 4
[2,5,6,3,7,1,4] => {{1,2,5,7},{3,6},{4}} => {{1,2},{3,6,7},{4,5}} => {{1,6},{2},{3,5},{4},{7}} => 2
[2,5,6,3,7,4,1] => {{1,2,5,7},{3,6},{4}} => {{1,2},{3,6,7},{4,5}} => {{1,6},{2},{3,5},{4},{7}} => 2
[2,5,6,4,1,3,7] => {{1,2,5},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => {{1,2,6},{3,5},{4},{7}} => 4
[2,5,6,4,1,7,3] => {{1,2,5},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7}} => {{1,3,6},{2,5},{4},{7}} => 4
[2,5,6,4,3,1,7] => {{1,2,5},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => {{1,2,6},{3,5},{4},{7}} => 4
[2,5,6,4,3,7,1] => {{1,2,5},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7}} => {{1,3,6},{2,5},{4},{7}} => 4
[2,5,6,4,7,1,3] => {{1,2,5,7},{3,6},{4}} => {{1,2},{3,6,7},{4,5}} => {{1,6},{2},{3,5},{4},{7}} => 2
[2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => {{1,2},{3,6,7},{4,5}} => {{1,6},{2},{3,5},{4},{7}} => 2
[2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} => {{1},{2,6},{3,5},{4},{7}} => 2
[2,5,6,7,1,4,3] => {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} => {{1},{2,6},{3,5},{4},{7}} => 2
[2,5,6,7,3,1,4] => {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} => {{1},{2,6},{3,5},{4},{7}} => 2
[2,5,6,7,3,4,1] => {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} => {{1},{2,6},{3,5},{4},{7}} => 2
[2,5,6,7,4,1,3] => {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} => {{1},{2,6},{3,5},{4},{7}} => 2
[2,5,6,7,4,3,1] => {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}} => {{1},{2,6},{3,5},{4},{7}} => 2
[2,5,7,1,3,4,6] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,1,3,6,4] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,1,4,3,6] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,1,4,6,3] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,1,6,3,4] => {{1,2,5,6},{3,7},{4}} => {{1,2},{3,7},{4,5,6}} => {{1,6},{2,5},{3},{4},{7}} => 2
[2,5,7,1,6,4,3] => {{1,2,5,6},{3,7},{4}} => {{1,2},{3,7},{4,5,6}} => {{1,6},{2,5},{3},{4},{7}} => 2
[2,5,7,3,1,4,6] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,3,1,6,4] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,3,4,1,6] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,3,4,6,1] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,3,6,1,4] => {{1,2,5,6},{3,7},{4}} => {{1,2},{3,7},{4,5,6}} => {{1,6},{2,5},{3},{4},{7}} => 2
[2,5,7,3,6,4,1] => {{1,2,5,6},{3,7},{4}} => {{1,2},{3,7},{4,5,6}} => {{1,6},{2,5},{3},{4},{7}} => 2
[2,5,7,4,1,3,6] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,4,1,6,3] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,4,3,1,6] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,4,3,6,1] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 4
[2,5,7,4,6,1,3] => {{1,2,5,6},{3,7},{4}} => {{1,2},{3,7},{4,5,6}} => {{1,6},{2,5},{3},{4},{7}} => 2
[2,5,7,4,6,3,1] => {{1,2,5,6},{3,7},{4}} => {{1,2},{3,7},{4,5,6}} => {{1,6},{2,5},{3},{4},{7}} => 2
[2,5,7,6,1,3,4] => {{1,2,5},{3,7},{4,6}} => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 4
[2,5,7,6,1,4,3] => {{1,2,5},{3,7},{4,6}} => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 4
[2,5,7,6,3,1,4] => {{1,2,5},{3,7},{4,6}} => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 4
[2,5,7,6,3,4,1] => {{1,2,5},{3,7},{4,6}} => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 4
[2,5,7,6,4,1,3] => {{1,2,5},{3,7},{4,6}} => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 4
[2,5,7,6,4,3,1] => {{1,2,5},{3,7},{4,6}} => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 4
[2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}} => 10
[2,6,1,3,4,7,5] => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 6
[2,6,1,3,5,4,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}} => 10
[2,6,1,3,5,7,4] => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 6
[2,6,1,3,7,4,5] => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 6
[2,6,1,3,7,5,4] => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 6
[2,6,1,4,3,5,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}} => 10
[2,6,1,4,3,7,5] => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 6
[2,6,1,4,5,3,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}} => 10
[2,6,1,4,5,7,3] => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 6
[2,6,1,4,7,3,5] => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 6
[2,6,1,4,7,5,3] => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 6
[2,6,1,5,3,4,7] => {{1,2,6},{3},{4,5},{7}} => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 4
[2,6,1,5,3,7,4] => {{1,2,6,7},{3},{4,5}} => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 3
[2,6,1,5,4,3,7] => {{1,2,6},{3},{4,5},{7}} => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 4
[2,6,1,5,4,7,3] => {{1,2,6,7},{3},{4,5}} => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 3
[2,6,1,5,7,3,4] => {{1,2,6},{3},{4,5,7}} => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 4
[2,6,1,5,7,4,3] => {{1,2,6},{3},{4,5,7}} => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 4
[2,6,1,7,3,4,5] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,1,7,3,5,4] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,1,7,4,3,5] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,1,7,4,5,3] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,1,7,5,3,4] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,1,7,5,4,3] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,3,1,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}} => 10
[2,6,3,1,4,7,5] => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 6
[2,6,3,1,5,4,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}} => 10
[2,6,3,1,5,7,4] => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 6
[2,6,3,1,7,4,5] => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 6
[2,6,3,1,7,5,4] => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 6
[2,6,3,4,1,5,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}} => 10
[2,6,3,4,1,7,5] => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 6
[2,6,3,4,5,1,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}} => 10
[2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 6
[2,6,3,4,7,1,5] => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 6
[2,6,3,4,7,5,1] => {{1,2,6},{3},{4},{5,7}} => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 6
[2,6,3,5,1,4,7] => {{1,2,6},{3},{4,5},{7}} => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 4
[2,6,3,5,1,7,4] => {{1,2,6,7},{3},{4,5}} => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 3
[2,6,3,5,4,1,7] => {{1,2,6},{3},{4,5},{7}} => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 4
[2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 3
[2,6,3,5,7,1,4] => {{1,2,6},{3},{4,5,7}} => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 4
[2,6,3,5,7,4,1] => {{1,2,6},{3},{4,5,7}} => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 4
[2,6,3,7,1,4,5] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,3,7,1,5,4] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,3,7,4,1,5] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,3,7,4,5,1] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,3,7,5,1,4] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,3,7,5,4,1] => {{1,2,6},{3},{4,7},{5}} => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 4
[2,6,4,1,3,5,7] => {{1,2,6},{3,4},{5},{7}} => {{1,2,4},{3},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}} => 4
[2,6,4,1,3,7,5] => {{1,2,6,7},{3,4},{5}} => {{1,2,4},{3},{5,6,7}} => {{1,4},{2},{3},{5,6},{7}} => 2
[2,6,4,1,5,3,7] => {{1,2,6},{3,4},{5},{7}} => {{1,2,4},{3},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}} => 4
[2,6,4,1,5,7,3] => {{1,2,6,7},{3,4},{5}} => {{1,2,4},{3},{5,6,7}} => {{1,4},{2},{3},{5,6},{7}} => 2
[2,6,4,1,7,3,5] => {{1,2,6},{3,4},{5,7}} => {{1,2,4},{3,7},{5,6}} => {{1,5},{2,4,6},{3},{7}} => 4
[2,6,4,1,7,5,3] => {{1,2,6},{3,4},{5,7}} => {{1,2,4},{3,7},{5,6}} => {{1,5},{2,4,6},{3},{7}} => 4
[2,6,4,3,1,5,7] => {{1,2,6},{3,4},{5},{7}} => {{1,2,4},{3},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}} => 4
[2,6,4,3,1,7,5] => {{1,2,6,7},{3,4},{5}} => {{1,2,4},{3},{5,6,7}} => {{1,4},{2},{3},{5,6},{7}} => 2
[2,6,4,3,5,1,7] => {{1,2,6},{3,4},{5},{7}} => {{1,2,4},{3},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}} => 4
[2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => {{1,2,4},{3},{5,6,7}} => {{1,4},{2},{3},{5,6},{7}} => 2
[2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => {{1,2,4},{3,7},{5,6}} => {{1,5},{2,4,6},{3},{7}} => 4
[2,6,4,3,7,5,1] => {{1,2,6},{3,4},{5,7}} => {{1,2,4},{3,7},{5,6}} => {{1,5},{2,4,6},{3},{7}} => 4
[2,6,4,5,1,3,7] => {{1,2,6},{3,4,5},{7}} => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3},{4,6},{7}} => 4
[2,6,4,5,1,7,3] => {{1,2,6,7},{3,4,5}} => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 2
[2,6,4,5,3,1,7] => {{1,2,6},{3,4,5},{7}} => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3},{4,6},{7}} => 4
[2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 2
[2,6,4,5,7,1,3] => {{1,2,6},{3,4,5,7}} => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 2
[2,6,4,5,7,3,1] => {{1,2,6},{3,4,5,7}} => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 2
[2,6,4,7,1,3,5] => {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 2
[2,6,4,7,1,5,3] => {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 2
[2,6,4,7,3,1,5] => {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 2
[2,6,4,7,3,5,1] => {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 2
[2,6,4,7,5,1,3] => {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 2
[2,6,4,7,5,3,1] => {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 2
[2,6,5,1,3,4,7] => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7}} => {{1,2,6},{3},{4,5},{7}} => 4
[2,6,5,1,3,7,4] => {{1,2,6,7},{3,5},{4}} => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 2
[2,6,5,1,4,3,7] => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7}} => {{1,2,6},{3},{4,5},{7}} => 4
[2,6,5,1,4,7,3] => {{1,2,6,7},{3,5},{4}} => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 2
[2,6,5,1,7,3,4] => {{1,2,6},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7}} => {{1,4,6},{2,5},{3},{7}} => 4
[2,6,5,1,7,4,3] => {{1,2,6},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7}} => {{1,4,6},{2,5},{3},{7}} => 4
[2,6,5,3,1,4,7] => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7}} => {{1,2,6},{3},{4,5},{7}} => 4
[2,6,5,3,1,7,4] => {{1,2,6,7},{3,5},{4}} => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 2
[2,6,5,3,4,1,7] => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7}} => {{1,2,6},{3},{4,5},{7}} => 4
[2,6,5,3,4,7,1] => {{1,2,6,7},{3,5},{4}} => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 2
[2,6,5,3,7,1,4] => {{1,2,6},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7}} => {{1,4,6},{2,5},{3},{7}} => 4
[2,6,5,3,7,4,1] => {{1,2,6},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7}} => {{1,4,6},{2,5},{3},{7}} => 4
[2,6,5,4,1,3,7] => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7}} => {{1,2,6},{3},{4,5},{7}} => 4
[2,6,5,4,1,7,3] => {{1,2,6,7},{3,5},{4}} => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 2
[2,6,5,4,3,1,7] => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7}} => {{1,2,6},{3},{4,5},{7}} => 4
[2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 2
[2,6,5,4,7,1,3] => {{1,2,6},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7}} => {{1,4,6},{2,5},{3},{7}} => 4
[2,6,5,4,7,3,1] => {{1,2,6},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7}} => {{1,4,6},{2,5},{3},{7}} => 4
[2,6,5,7,1,3,4] => {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 2
[2,6,5,7,1,4,3] => {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 2
[2,6,5,7,3,1,4] => {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 2
[2,6,5,7,3,4,1] => {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 2
[2,6,5,7,4,1,3] => {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 2
[2,6,5,7,4,3,1] => {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 2
[2,6,7,1,3,4,5] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,1,3,5,4] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,1,4,3,5] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,1,4,5,3] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,1,5,3,4] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,1,5,4,3] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,3,1,4,5] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,3,1,5,4] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,3,4,1,5] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,3,4,5,1] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,3,5,1,4] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,3,5,4,1] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,4,1,3,5] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,4,1,5,3] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,4,3,1,5] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,4,3,5,1] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,4,5,1,3] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,4,5,3,1] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 4
[2,6,7,5,1,3,4] => {{1,2,6},{3,7},{4,5}} => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 4
[2,6,7,5,1,4,3] => {{1,2,6},{3,7},{4,5}} => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 4
[2,6,7,5,3,1,4] => {{1,2,6},{3,7},{4,5}} => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 4
[2,6,7,5,3,4,1] => {{1,2,6},{3,7},{4,5}} => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 4
[2,6,7,5,4,1,3] => {{1,2,6},{3,7},{4,5}} => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 4
[2,6,7,5,4,3,1] => {{1,2,6},{3,7},{4,5}} => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 4
[2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,1,3,4,6,5] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,1,3,5,4,6] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,1,3,5,6,4] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,1,3,6,4,5] => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 6
[2,7,1,3,6,5,4] => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 6
[2,7,1,4,3,5,6] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,1,4,3,6,5] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,1,4,5,3,6] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,1,4,5,6,3] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,1,4,6,3,5] => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 6
[2,7,1,4,6,5,3] => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 6
[2,7,1,5,3,4,6] => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 4
[2,7,1,5,3,6,4] => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 4
[2,7,1,5,4,3,6] => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 4
[2,7,1,5,4,6,3] => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 4
[2,7,1,5,6,3,4] => {{1,2,7},{3},{4,5,6}} => {{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6},{7}} => 4
[2,7,1,5,6,4,3] => {{1,2,7},{3},{4,5,6}} => {{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6},{7}} => 4
[2,7,1,6,3,4,5] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,1,6,3,5,4] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,1,6,4,3,5] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,1,6,4,5,3] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,1,6,5,3,4] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,1,6,5,4,3] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,3,1,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,3,1,4,6,5] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,3,1,5,4,6] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,3,1,5,6,4] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,3,1,6,4,5] => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 6
[2,7,3,1,6,5,4] => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 6
[2,7,3,4,1,5,6] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,3,4,1,6,5] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,3,4,5,1,6] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,3,4,5,6,1] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 10
[2,7,3,4,6,1,5] => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 6
[2,7,3,4,6,5,1] => {{1,2,7},{3},{4},{5,6}} => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 6
[2,7,3,5,1,4,6] => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 4
[2,7,3,5,1,6,4] => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 4
[2,7,3,5,4,1,6] => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 4
[2,7,3,5,4,6,1] => {{1,2,7},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 4
[2,7,3,5,6,1,4] => {{1,2,7},{3},{4,5,6}} => {{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6},{7}} => 4
[2,7,3,5,6,4,1] => {{1,2,7},{3},{4,5,6}} => {{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6},{7}} => 4
[2,7,3,6,1,4,5] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,3,6,1,5,4] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,3,6,4,1,5] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,3,6,4,5,1] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,3,6,5,1,4] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,3,6,5,4,1] => {{1,2,7},{3},{4,6},{5}} => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 4
[2,7,4,1,3,5,6] => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 4
[2,7,4,1,3,6,5] => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 4
[2,7,4,1,5,3,6] => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 4
[2,7,4,1,5,6,3] => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 4
[2,7,4,1,6,3,5] => {{1,2,7},{3,4},{5,6}} => {{1,2,4},{3,6,7},{5}} => {{1,5},{2},{3,4,6},{7}} => 4
[2,7,4,1,6,5,3] => {{1,2,7},{3,4},{5,6}} => {{1,2,4},{3,6,7},{5}} => {{1,5},{2},{3,4,6},{7}} => 4
[2,7,4,3,1,5,6] => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 4
[2,7,4,3,1,6,5] => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 4
[2,7,4,3,5,1,6] => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 4
[2,7,4,3,5,6,1] => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 4
[2,7,4,3,6,1,5] => {{1,2,7},{3,4},{5,6}} => {{1,2,4},{3,6,7},{5}} => {{1,5},{2},{3,4,6},{7}} => 4
[2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}} => {{1,2,4},{3,6,7},{5}} => {{1,5},{2},{3,4,6},{7}} => 4
[2,7,4,5,1,3,6] => {{1,2,7},{3,4,5},{6}} => {{1,2,4},{3,5},{6,7}} => {{1,3,5},{2},{4,6},{7}} => 4
[2,7,4,5,1,6,3] => {{1,2,7},{3,4,5},{6}} => {{1,2,4},{3,5},{6,7}} => {{1,3,5},{2},{4,6},{7}} => 4
[2,7,4,5,3,1,6] => {{1,2,7},{3,4,5},{6}} => {{1,2,4},{3,5},{6,7}} => {{1,3,5},{2},{4,6},{7}} => 4
[2,7,4,5,3,6,1] => {{1,2,7},{3,4,5},{6}} => {{1,2,4},{3,5},{6,7}} => {{1,3,5},{2},{4,6},{7}} => 4
[2,7,4,5,6,1,3] => {{1,2,7},{3,4,5,6}} => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 2
[2,7,4,5,6,3,1] => {{1,2,7},{3,4,5,6}} => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 2
[2,7,4,6,1,3,5] => {{1,2,7},{3,4,6},{5}} => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[2,7,4,6,1,5,3] => {{1,2,7},{3,4,6},{5}} => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[2,7,4,6,3,1,5] => {{1,2,7},{3,4,6},{5}} => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[2,7,4,6,3,5,1] => {{1,2,7},{3,4,6},{5}} => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[2,7,4,6,5,1,3] => {{1,2,7},{3,4,6},{5}} => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[2,7,4,6,5,3,1] => {{1,2,7},{3,4,6},{5}} => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[2,7,5,1,3,4,6] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,1,3,6,4] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,1,4,3,6] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,1,4,6,3] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,1,6,3,4] => {{1,2,7},{3,5,6},{4}} => {{1,2},{3,5},{4,6,7}} => {{1,4,6},{2},{3,5},{7}} => 4
[2,7,5,1,6,4,3] => {{1,2,7},{3,5,6},{4}} => {{1,2},{3,5},{4,6,7}} => {{1,4,6},{2},{3,5},{7}} => 4
[2,7,5,3,1,4,6] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,3,1,6,4] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,3,4,1,6] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,3,4,6,1] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,3,6,1,4] => {{1,2,7},{3,5,6},{4}} => {{1,2},{3,5},{4,6,7}} => {{1,4,6},{2},{3,5},{7}} => 4
[2,7,5,3,6,4,1] => {{1,2,7},{3,5,6},{4}} => {{1,2},{3,5},{4,6,7}} => {{1,4,6},{2},{3,5},{7}} => 4
[2,7,5,4,1,3,6] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,4,1,6,3] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,4,3,1,6] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,4,3,6,1] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 4
[2,7,5,4,6,1,3] => {{1,2,7},{3,5,6},{4}} => {{1,2},{3,5},{4,6,7}} => {{1,4,6},{2},{3,5},{7}} => 4
[2,7,5,4,6,3,1] => {{1,2,7},{3,5,6},{4}} => {{1,2},{3,5},{4,6,7}} => {{1,4,6},{2},{3,5},{7}} => 4
[2,7,5,6,1,3,4] => {{1,2,7},{3,5},{4,6}} => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 2
[2,7,5,6,1,4,3] => {{1,2,7},{3,5},{4,6}} => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 2
[2,7,5,6,3,1,4] => {{1,2,7},{3,5},{4,6}} => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 2
[2,7,5,6,3,4,1] => {{1,2,7},{3,5},{4,6}} => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 2
[2,7,5,6,4,1,3] => {{1,2,7},{3,5},{4,6}} => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 2
[2,7,5,6,4,3,1] => {{1,2,7},{3,5},{4,6}} => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 2
[2,7,6,1,3,4,5] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,1,3,5,4] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,1,4,3,5] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,1,4,5,3] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,1,5,3,4] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,1,5,4,3] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,3,1,4,5] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,3,1,5,4] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,3,4,1,5] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,3,4,5,1] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,3,5,1,4] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,3,5,4,1] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,4,1,3,5] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,4,1,5,3] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,4,3,1,5] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,4,3,5,1] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,4,5,1,3] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,4,5,3,1] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 4
[2,7,6,5,1,3,4] => {{1,2,7},{3,6},{4,5}} => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 4
[2,7,6,5,1,4,3] => {{1,2,7},{3,6},{4,5}} => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 4
[2,7,6,5,3,1,4] => {{1,2,7},{3,6},{4,5}} => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 4
[2,7,6,5,3,4,1] => {{1,2,7},{3,6},{4,5}} => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 4
[2,7,6,5,4,1,3] => {{1,2,7},{3,6},{4,5}} => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 4
[2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 4
[3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}} => {{1,2,3,4,5,7},{6}} => 15
[3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => {{1,7},{2,3},{4},{5},{6}} => {{1},{2,3,4,5,7},{6}} => 10
[3,1,2,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => {{1,6},{2,3},{4},{5},{7}} => {{1,2},{3,4,5,7},{6}} => 7
[3,1,2,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => {{1,6},{2,3,7},{4},{5}} => {{1,3,4,5},{2,7},{6}} => 7
[3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => {{1},{2,3,7},{4},{5},{6}} => {{1,7},{2,3,4,5},{6}} => 7
[3,1,2,4,7,6,5] => {{1,3},{2},{4},{5,7},{6}} => {{1},{2,3,7},{4},{5},{6}} => {{1,7},{2,3,4,5},{6}} => 7
[3,1,2,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}} => {{1,5},{2,3},{4},{6},{7}} => {{1,2,3},{4,5,7},{6}} => 6
[3,1,2,5,4,7,6] => {{1,3},{2},{4,5},{6,7}} => {{1,5},{2,3,7},{4},{6}} => {{1,4,5},{2,3,7},{6}} => 6
[3,1,2,5,6,4,7] => {{1,3},{2},{4,5,6},{7}} => {{1,5},{2,3,6},{4},{7}} => {{1,2,4,5},{3,7},{6}} => 7
[3,1,2,5,6,7,4] => {{1,3},{2},{4,5,6,7}} => {{1,5},{2,3,6},{4,7}} => {{1,4},{2,5},{3,7},{6}} => 3
[3,1,2,5,7,4,6] => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => {{1,4},{2,3,5,7},{6}} => 7
[3,1,2,5,7,6,4] => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => {{1,4},{2,3,5,7},{6}} => 7
[3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => {{1},{2,3,6},{4},{5},{7}} => {{1,2,7},{3,4,5},{6}} => 6
[3,1,2,6,4,7,5] => {{1,3},{2},{4,6,7},{5}} => {{1},{2,3,6},{4,7},{5}} => {{1,3,4,7},{2,5},{6}} => 7
[3,1,2,6,5,4,7] => {{1,3},{2},{4,6},{5},{7}} => {{1},{2,3,6},{4},{5},{7}} => {{1,2,7},{3,4,5},{6}} => 6
[3,1,2,6,5,7,4] => {{1,3},{2},{4,6,7},{5}} => {{1},{2,3,6},{4,7},{5}} => {{1,3,4,7},{2,5},{6}} => 7
[3,1,2,6,7,4,5] => {{1,3},{2},{4,6},{5,7}} => {{1,7},{2,3,6},{4},{5}} => {{1},{2,7},{3,4,5},{6}} => 4
[3,1,2,6,7,5,4] => {{1,3},{2},{4,6},{5,7}} => {{1,7},{2,3,6},{4},{5}} => {{1},{2,7},{3,4,5},{6}} => 4
[3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}} => 6
[3,1,2,7,4,6,5] => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}} => 6
[3,1,2,7,5,4,6] => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}} => 6
[3,1,2,7,5,6,4] => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}} => 6
[3,1,2,7,6,4,5] => {{1,3},{2},{4,7},{5,6}} => {{1,6},{2,3},{4,7},{5}} => {{1,3,4},{2,5,7},{6}} => 6
[3,1,2,7,6,5,4] => {{1,3},{2},{4,7},{5,6}} => {{1,6},{2,3},{4,7},{5}} => {{1,3,4},{2,5,7},{6}} => 6
[3,1,4,2,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}} => {{1,2,3,4,7},{5},{6}} => 10
[3,1,4,2,5,7,6] => {{1,3,4},{2},{5},{6,7}} => {{1,7},{2,3,4},{5},{6}} => {{1},{2,3,4,7},{5},{6}} => 6
[3,1,4,2,6,5,7] => {{1,3,4},{2},{5,6},{7}} => {{1,6},{2,3,4},{5},{7}} => {{1,2},{3,4,7},{5},{6}} => 4
[3,1,4,2,6,7,5] => {{1,3,4},{2},{5,6,7}} => {{1,6},{2,3,4,7},{5}} => {{1,3,4},{2,7},{5},{6}} => 4
[3,1,4,2,7,5,6] => {{1,3,4},{2},{5,7},{6}} => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 4
[3,1,4,2,7,6,5] => {{1,3,4},{2},{5,7},{6}} => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 4
[3,1,4,5,2,6,7] => {{1,3,4,5},{2},{6},{7}} => {{1},{2,3,4,5},{6},{7}} => {{1,2,3,7},{4},{5},{6}} => 6
[3,1,4,5,2,7,6] => {{1,3,4,5},{2},{6,7}} => {{1,7},{2,3,4,5},{6}} => {{1},{2,3,7},{4},{5},{6}} => 3
[3,1,4,5,6,2,7] => {{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 3
[3,1,4,5,6,7,2] => {{1,3,4,5,6,7},{2}} => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,1,4,5,7,2,6] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 3
[3,1,4,5,7,6,2] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 3
[3,1,4,6,2,5,7] => {{1,3,4,6},{2},{5},{7}} => {{1},{2,3,4},{5,6},{7}} => {{1,2,4,7},{3},{5},{6}} => 6
[3,1,4,6,2,7,5] => {{1,3,4,6,7},{2},{5}} => {{1},{2,3,4},{5,6,7}} => {{1,4,7},{2},{3},{5},{6}} => 3
[3,1,4,6,5,2,7] => {{1,3,4,6},{2},{5},{7}} => {{1},{2,3,4},{5,6},{7}} => {{1,2,4,7},{3},{5},{6}} => 6
[3,1,4,6,5,7,2] => {{1,3,4,6,7},{2},{5}} => {{1},{2,3,4},{5,6,7}} => {{1,4,7},{2},{3},{5},{6}} => 3
[3,1,4,6,7,2,5] => {{1,3,4,6},{2},{5,7}} => {{1,7},{2,3,4},{5,6}} => {{1},{2,4,7},{3},{5},{6}} => 3
[3,1,4,6,7,5,2] => {{1,3,4,6},{2},{5,7}} => {{1,7},{2,3,4},{5,6}} => {{1},{2,4,7},{3},{5},{6}} => 3
[3,1,4,7,2,5,6] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 6
[3,1,4,7,2,6,5] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 6
[3,1,4,7,5,2,6] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 6
[3,1,4,7,5,6,2] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 6
[3,1,4,7,6,2,5] => {{1,3,4,7},{2},{5,6}} => {{1,6,7},{2,3,4},{5}} => {{1},{2},{3,4,7},{5},{6}} => 3
[3,1,4,7,6,5,2] => {{1,3,4,7},{2},{5,6}} => {{1,6,7},{2,3,4},{5}} => {{1},{2},{3,4,7},{5},{6}} => 3
[3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => {{1},{2,3},{4,5},{6},{7}} => {{1,2,3,5,7},{4},{6}} => 10
[3,1,5,2,4,7,6] => {{1,3,5},{2},{4},{6,7}} => {{1,7},{2,3},{4,5},{6}} => {{1},{2,3,5,7},{4},{6}} => 6
[3,1,5,2,6,4,7] => {{1,3,5,6},{2},{4},{7}} => {{1},{2,3},{4,5,6},{7}} => {{1,2,5,7},{3},{4},{6}} => 6
[3,1,5,2,6,7,4] => {{1,3,5,6,7},{2},{4}} => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 3
[3,1,5,2,7,4,6] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}} => 6
[3,1,5,2,7,6,4] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}} => 6
[3,1,5,4,2,6,7] => {{1,3,5},{2},{4},{6},{7}} => {{1},{2,3},{4,5},{6},{7}} => {{1,2,3,5,7},{4},{6}} => 10
[3,1,5,4,2,7,6] => {{1,3,5},{2},{4},{6,7}} => {{1,7},{2,3},{4,5},{6}} => {{1},{2,3,5,7},{4},{6}} => 6
[3,1,5,4,6,2,7] => {{1,3,5,6},{2},{4},{7}} => {{1},{2,3},{4,5,6},{7}} => {{1,2,5,7},{3},{4},{6}} => 6
[3,1,5,4,6,7,2] => {{1,3,5,6,7},{2},{4}} => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 3
[3,1,5,4,7,2,6] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}} => 6
[3,1,5,4,7,6,2] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}} => 6
[3,1,5,6,2,4,7] => {{1,3,5},{2},{4,6},{7}} => {{1,6},{2,3},{4,5},{7}} => {{1,2},{3,5,7},{4},{6}} => 4
[3,1,5,6,2,7,4] => {{1,3,5},{2},{4,6,7}} => {{1,6},{2,3,7},{4,5}} => {{1,3,5},{2,7},{4},{6}} => 4
[3,1,5,6,4,2,7] => {{1,3,5},{2},{4,6},{7}} => {{1,6},{2,3},{4,5},{7}} => {{1,2},{3,5,7},{4},{6}} => 4
[3,1,5,6,4,7,2] => {{1,3,5},{2},{4,6,7}} => {{1,6},{2,3,7},{4,5}} => {{1,3,5},{2,7},{4},{6}} => 4
[3,1,5,6,7,2,4] => {{1,3,5,7},{2},{4,6}} => {{1,6,7},{2,3},{4,5}} => {{1},{2},{3,5,7},{4},{6}} => 3
[3,1,5,6,7,4,2] => {{1,3,5,7},{2},{4,6}} => {{1,6,7},{2,3},{4,5}} => {{1},{2},{3,5,7},{4},{6}} => 3
[3,1,5,7,2,4,6] => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 4
[3,1,5,7,2,6,4] => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 4
[3,1,5,7,4,2,6] => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 4
[3,1,5,7,4,6,2] => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 4
[3,1,5,7,6,2,4] => {{1,3,5,6},{2},{4,7}} => {{1,7},{2,3},{4,5,6}} => {{1},{2,5,7},{3},{4},{6}} => 3
[3,1,5,7,6,4,2] => {{1,3,5,6},{2},{4,7}} => {{1,7},{2,3},{4,5,6}} => {{1},{2,5,7},{3},{4},{6}} => 3
[3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}} => 10
[3,1,6,2,4,7,5] => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 6
[3,1,6,2,5,4,7] => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}} => 10
[3,1,6,2,5,7,4] => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 6
[3,1,6,2,7,4,5] => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}} => 6
[3,1,6,2,7,5,4] => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}} => 6
[3,1,6,4,2,5,7] => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}} => 10
[3,1,6,4,2,7,5] => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 6
[3,1,6,4,5,2,7] => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}} => 10
[3,1,6,4,5,7,2] => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 6
[3,1,6,4,7,2,5] => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}} => 6
[3,1,6,4,7,5,2] => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}} => 6
[3,1,6,5,2,4,7] => {{1,3,6},{2},{4,5},{7}} => {{1,5,6},{2,3},{4},{7}} => {{1,2},{3},{4,5,7},{6}} => 4
[3,1,6,5,2,7,4] => {{1,3,6,7},{2},{4,5}} => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 3
[3,1,6,5,4,2,7] => {{1,3,6},{2},{4,5},{7}} => {{1,5,6},{2,3},{4},{7}} => {{1,2},{3},{4,5,7},{6}} => 4
[3,1,6,5,4,7,2] => {{1,3,6,7},{2},{4,5}} => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 3
[3,1,6,5,7,2,4] => {{1,3,6},{2},{4,5,7}} => {{1,5,6},{2,3,7},{4}} => {{1,4,5},{2,7},{3},{6}} => 4
[3,1,6,5,7,4,2] => {{1,3,6},{2},{4,5,7}} => {{1,5,6},{2,3,7},{4}} => {{1,4,5},{2,7},{3},{6}} => 4
[3,1,6,7,2,4,5] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,1,6,7,2,5,4] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,1,6,7,4,2,5] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,1,6,7,4,5,2] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,1,6,7,5,2,4] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,1,6,7,5,4,2] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,1,7,2,4,6,5] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,1,7,2,5,4,6] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,1,7,2,5,6,4] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,1,7,2,6,4,5] => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 6
[3,1,7,2,6,5,4] => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 6
[3,1,7,4,2,5,6] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,1,7,4,2,6,5] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,1,7,4,5,2,6] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,1,7,4,5,6,2] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,1,7,4,6,2,5] => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 6
[3,1,7,4,6,5,2] => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 6
[3,1,7,5,2,4,6] => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}} => 4
[3,1,7,5,2,6,4] => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}} => 4
[3,1,7,5,4,2,6] => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}} => 4
[3,1,7,5,4,6,2] => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}} => 4
[3,1,7,5,6,2,4] => {{1,3,7},{2},{4,5,6}} => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 4
[3,1,7,5,6,4,2] => {{1,3,7},{2},{4,5,6}} => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 4
[3,1,7,6,2,4,5] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,1,7,6,2,5,4] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,1,7,6,4,2,5] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,1,7,6,4,5,2] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,1,7,6,5,2,4] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,1,7,6,5,4,2] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,2,1,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}} => {{1,2,3,4,5,7},{6}} => 15
[3,2,1,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => {{1,7},{2,3},{4},{5},{6}} => {{1},{2,3,4,5,7},{6}} => 10
[3,2,1,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => {{1,6},{2,3},{4},{5},{7}} => {{1,2},{3,4,5,7},{6}} => 7
[3,2,1,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => {{1,6},{2,3,7},{4},{5}} => {{1,3,4,5},{2,7},{6}} => 7
[3,2,1,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => {{1},{2,3,7},{4},{5},{6}} => {{1,7},{2,3,4,5},{6}} => 7
[3,2,1,4,7,6,5] => {{1,3},{2},{4},{5,7},{6}} => {{1},{2,3,7},{4},{5},{6}} => {{1,7},{2,3,4,5},{6}} => 7
[3,2,1,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}} => {{1,5},{2,3},{4},{6},{7}} => {{1,2,3},{4,5,7},{6}} => 6
[3,2,1,5,4,7,6] => {{1,3},{2},{4,5},{6,7}} => {{1,5},{2,3,7},{4},{6}} => {{1,4,5},{2,3,7},{6}} => 6
[3,2,1,5,6,4,7] => {{1,3},{2},{4,5,6},{7}} => {{1,5},{2,3,6},{4},{7}} => {{1,2,4,5},{3,7},{6}} => 7
[3,2,1,5,6,7,4] => {{1,3},{2},{4,5,6,7}} => {{1,5},{2,3,6},{4,7}} => {{1,4},{2,5},{3,7},{6}} => 3
[3,2,1,5,7,4,6] => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => {{1,4},{2,3,5,7},{6}} => 7
[3,2,1,5,7,6,4] => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => {{1,4},{2,3,5,7},{6}} => 7
[3,2,1,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => {{1},{2,3,6},{4},{5},{7}} => {{1,2,7},{3,4,5},{6}} => 6
[3,2,1,6,4,7,5] => {{1,3},{2},{4,6,7},{5}} => {{1},{2,3,6},{4,7},{5}} => {{1,3,4,7},{2,5},{6}} => 7
[3,2,1,6,5,4,7] => {{1,3},{2},{4,6},{5},{7}} => {{1},{2,3,6},{4},{5},{7}} => {{1,2,7},{3,4,5},{6}} => 6
[3,2,1,6,5,7,4] => {{1,3},{2},{4,6,7},{5}} => {{1},{2,3,6},{4,7},{5}} => {{1,3,4,7},{2,5},{6}} => 7
[3,2,1,6,7,4,5] => {{1,3},{2},{4,6},{5,7}} => {{1,7},{2,3,6},{4},{5}} => {{1},{2,7},{3,4,5},{6}} => 4
[3,2,1,6,7,5,4] => {{1,3},{2},{4,6},{5,7}} => {{1,7},{2,3,6},{4},{5}} => {{1},{2,7},{3,4,5},{6}} => 4
[3,2,1,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}} => 6
[3,2,1,7,4,6,5] => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}} => 6
[3,2,1,7,5,4,6] => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}} => 6
[3,2,1,7,5,6,4] => {{1,3},{2},{4,7},{5},{6}} => {{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}} => 6
[3,2,1,7,6,4,5] => {{1,3},{2},{4,7},{5,6}} => {{1,6},{2,3},{4,7},{5}} => {{1,3,4},{2,5,7},{6}} => 6
[3,2,1,7,6,5,4] => {{1,3},{2},{4,7},{5,6}} => {{1,6},{2,3},{4,7},{5}} => {{1,3,4},{2,5,7},{6}} => 6
[3,2,4,1,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}} => {{1,2,3,4,7},{5},{6}} => 10
[3,2,4,1,5,7,6] => {{1,3,4},{2},{5},{6,7}} => {{1,7},{2,3,4},{5},{6}} => {{1},{2,3,4,7},{5},{6}} => 6
[3,2,4,1,6,5,7] => {{1,3,4},{2},{5,6},{7}} => {{1,6},{2,3,4},{5},{7}} => {{1,2},{3,4,7},{5},{6}} => 4
[3,2,4,1,6,7,5] => {{1,3,4},{2},{5,6,7}} => {{1,6},{2,3,4,7},{5}} => {{1,3,4},{2,7},{5},{6}} => 4
[3,2,4,1,7,5,6] => {{1,3,4},{2},{5,7},{6}} => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 4
[3,2,4,1,7,6,5] => {{1,3,4},{2},{5,7},{6}} => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 4
[3,2,4,5,1,6,7] => {{1,3,4,5},{2},{6},{7}} => {{1},{2,3,4,5},{6},{7}} => {{1,2,3,7},{4},{5},{6}} => 6
[3,2,4,5,1,7,6] => {{1,3,4,5},{2},{6,7}} => {{1,7},{2,3,4,5},{6}} => {{1},{2,3,7},{4},{5},{6}} => 3
[3,2,4,5,6,1,7] => {{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 3
[3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,2,4,5,7,1,6] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 3
[3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 3
[3,2,4,6,1,5,7] => {{1,3,4,6},{2},{5},{7}} => {{1},{2,3,4},{5,6},{7}} => {{1,2,4,7},{3},{5},{6}} => 6
[3,2,4,6,1,7,5] => {{1,3,4,6,7},{2},{5}} => {{1},{2,3,4},{5,6,7}} => {{1,4,7},{2},{3},{5},{6}} => 3
[3,2,4,6,5,1,7] => {{1,3,4,6},{2},{5},{7}} => {{1},{2,3,4},{5,6},{7}} => {{1,2,4,7},{3},{5},{6}} => 6
[3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => {{1},{2,3,4},{5,6,7}} => {{1,4,7},{2},{3},{5},{6}} => 3
[3,2,4,6,7,1,5] => {{1,3,4,6},{2},{5,7}} => {{1,7},{2,3,4},{5,6}} => {{1},{2,4,7},{3},{5},{6}} => 3
[3,2,4,6,7,5,1] => {{1,3,4,6},{2},{5,7}} => {{1,7},{2,3,4},{5,6}} => {{1},{2,4,7},{3},{5},{6}} => 3
[3,2,4,7,1,5,6] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 6
[3,2,4,7,1,6,5] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 6
[3,2,4,7,5,1,6] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 6
[3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 6
[3,2,4,7,6,1,5] => {{1,3,4,7},{2},{5,6}} => {{1,6,7},{2,3,4},{5}} => {{1},{2},{3,4,7},{5},{6}} => 3
[3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => {{1,6,7},{2,3,4},{5}} => {{1},{2},{3,4,7},{5},{6}} => 3
[3,2,5,1,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => {{1},{2,3},{4,5},{6},{7}} => {{1,2,3,5,7},{4},{6}} => 10
[3,2,5,1,4,7,6] => {{1,3,5},{2},{4},{6,7}} => {{1,7},{2,3},{4,5},{6}} => {{1},{2,3,5,7},{4},{6}} => 6
[3,2,5,1,6,4,7] => {{1,3,5,6},{2},{4},{7}} => {{1},{2,3},{4,5,6},{7}} => {{1,2,5,7},{3},{4},{6}} => 6
[3,2,5,1,6,7,4] => {{1,3,5,6,7},{2},{4}} => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 3
[3,2,5,1,7,4,6] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}} => 6
[3,2,5,1,7,6,4] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}} => 6
[3,2,5,4,1,6,7] => {{1,3,5},{2},{4},{6},{7}} => {{1},{2,3},{4,5},{6},{7}} => {{1,2,3,5,7},{4},{6}} => 10
[3,2,5,4,1,7,6] => {{1,3,5},{2},{4},{6,7}} => {{1,7},{2,3},{4,5},{6}} => {{1},{2,3,5,7},{4},{6}} => 6
[3,2,5,4,6,1,7] => {{1,3,5,6},{2},{4},{7}} => {{1},{2,3},{4,5,6},{7}} => {{1,2,5,7},{3},{4},{6}} => 6
[3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 3
[3,2,5,4,7,1,6] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}} => 6
[3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}} => 6
[3,2,5,6,1,4,7] => {{1,3,5},{2},{4,6},{7}} => {{1,6},{2,3},{4,5},{7}} => {{1,2},{3,5,7},{4},{6}} => 4
[3,2,5,6,1,7,4] => {{1,3,5},{2},{4,6,7}} => {{1,6},{2,3,7},{4,5}} => {{1,3,5},{2,7},{4},{6}} => 4
[3,2,5,6,4,1,7] => {{1,3,5},{2},{4,6},{7}} => {{1,6},{2,3},{4,5},{7}} => {{1,2},{3,5,7},{4},{6}} => 4
[3,2,5,6,4,7,1] => {{1,3,5},{2},{4,6,7}} => {{1,6},{2,3,7},{4,5}} => {{1,3,5},{2,7},{4},{6}} => 4
[3,2,5,6,7,1,4] => {{1,3,5,7},{2},{4,6}} => {{1,6,7},{2,3},{4,5}} => {{1},{2},{3,5,7},{4},{6}} => 3
[3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => {{1,6,7},{2,3},{4,5}} => {{1},{2},{3,5,7},{4},{6}} => 3
[3,2,5,7,1,4,6] => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 4
[3,2,5,7,1,6,4] => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 4
[3,2,5,7,4,1,6] => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 4
[3,2,5,7,4,6,1] => {{1,3,5},{2},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 4
[3,2,5,7,6,1,4] => {{1,3,5,6},{2},{4,7}} => {{1,7},{2,3},{4,5,6}} => {{1},{2,5,7},{3},{4},{6}} => 3
[3,2,5,7,6,4,1] => {{1,3,5,6},{2},{4,7}} => {{1,7},{2,3},{4,5,6}} => {{1},{2,5,7},{3},{4},{6}} => 3
[3,2,6,1,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}} => 10
[3,2,6,1,4,7,5] => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 6
[3,2,6,1,5,4,7] => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}} => 10
[3,2,6,1,5,7,4] => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 6
[3,2,6,1,7,4,5] => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}} => 6
[3,2,6,1,7,5,4] => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}} => 6
[3,2,6,4,1,5,7] => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}} => 10
[3,2,6,4,1,7,5] => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 6
[3,2,6,4,5,1,7] => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}} => 10
[3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 6
[3,2,6,4,7,1,5] => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}} => 6
[3,2,6,4,7,5,1] => {{1,3,6},{2},{4},{5,7}} => {{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}} => 6
[3,2,6,5,1,4,7] => {{1,3,6},{2},{4,5},{7}} => {{1,5,6},{2,3},{4},{7}} => {{1,2},{3},{4,5,7},{6}} => 4
[3,2,6,5,1,7,4] => {{1,3,6,7},{2},{4,5}} => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 3
[3,2,6,5,4,1,7] => {{1,3,6},{2},{4,5},{7}} => {{1,5,6},{2,3},{4},{7}} => {{1,2},{3},{4,5,7},{6}} => 4
[3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 3
[3,2,6,5,7,1,4] => {{1,3,6},{2},{4,5,7}} => {{1,5,6},{2,3,7},{4}} => {{1,4,5},{2,7},{3},{6}} => 4
[3,2,6,5,7,4,1] => {{1,3,6},{2},{4,5,7}} => {{1,5,6},{2,3,7},{4}} => {{1,4,5},{2,7},{3},{6}} => 4
[3,2,6,7,1,4,5] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,2,6,7,1,5,4] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,2,6,7,4,1,5] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,2,6,7,4,5,1] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,2,6,7,5,1,4] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,2,6,7,5,4,1] => {{1,3,6},{2},{4,7},{5}} => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 4
[3,2,7,1,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,2,7,1,4,6,5] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,2,7,1,5,4,6] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,2,7,1,5,6,4] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,2,7,1,6,4,5] => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 6
[3,2,7,1,6,5,4] => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 6
[3,2,7,4,1,5,6] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,2,7,4,1,6,5] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,2,7,4,5,1,6] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,2,7,4,5,6,1] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 10
[3,2,7,4,6,1,5] => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 6
[3,2,7,4,6,5,1] => {{1,3,7},{2},{4},{5,6}} => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 6
[3,2,7,5,1,4,6] => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}} => 4
[3,2,7,5,1,6,4] => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}} => 4
[3,2,7,5,4,1,6] => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}} => 4
[3,2,7,5,4,6,1] => {{1,3,7},{2},{4,5},{6}} => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}} => 4
[3,2,7,5,6,1,4] => {{1,3,7},{2},{4,5,6}} => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 4
[3,2,7,5,6,4,1] => {{1,3,7},{2},{4,5,6}} => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 4
[3,2,7,6,1,4,5] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,2,7,6,1,5,4] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,2,7,6,4,1,5] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,2,7,6,4,5,1] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,2,7,6,5,1,4] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,2,7,6,5,4,1] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 4
[3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => {{1,4},{2,3},{5},{6},{7}} => {{1,2,3,4},{5,7},{6}} => 7
[3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => {{1,4},{2,3,7},{5},{6}} => {{1,5},{2,3,4,7},{6}} => 7
[3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => {{1,4},{2,3,6},{5},{7}} => {{1,2,5},{3,4,7},{6}} => 6
[3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => {{1,4,7},{2,3,6},{5}} => {{1},{2,5},{3,4,7},{6}} => 4
[3,4,1,2,7,5,6] => {{1,3},{2,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => 4
[3,4,1,2,7,6,5] => {{1,3},{2,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => 4
[3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => {{1,4},{2,3,5},{6},{7}} => {{1,2,3,5},{4,7},{6}} => 7
[3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => {{1,4,7},{2,3,5},{6}} => {{1},{2,3,5},{4,7},{6}} => 4
[3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => {{1,4,6},{2,3,5},{7}} => {{1,2},{3,5},{4,7},{6}} => 3
[3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 6
[3,4,1,5,7,2,6] => {{1,3},{2,4,5,7},{6}} => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 3
[3,4,1,5,7,6,2] => {{1,3},{2,4,5,7},{6}} => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 3
[3,4,1,6,2,5,7] => {{1,3},{2,4,6},{5},{7}} => {{1,4,6},{2,3},{5},{7}} => {{1,2},{3,4},{5,7},{6}} => 3
[3,4,1,6,2,7,5] => {{1,3},{2,4,6,7},{5}} => {{1,4,6},{2,3},{5,7}} => {{1,3},{2,4},{5,7},{6}} => 3
[3,4,1,6,5,2,7] => {{1,3},{2,4,6},{5},{7}} => {{1,4,6},{2,3},{5},{7}} => {{1,2},{3,4},{5,7},{6}} => 3
[3,4,1,6,5,7,2] => {{1,3},{2,4,6,7},{5}} => {{1,4,6},{2,3},{5,7}} => {{1,3},{2,4},{5,7},{6}} => 3
[3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => {{1,4,6},{2,3,7},{5}} => {{1,5},{2,7},{3,4},{6}} => 3
[3,4,1,6,7,5,2] => {{1,3},{2,4,6},{5,7}} => {{1,4,6},{2,3,7},{5}} => {{1,5},{2,7},{3,4},{6}} => 3
[3,4,1,7,2,5,6] => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 3
[3,4,1,7,2,6,5] => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 3
[3,4,1,7,5,2,6] => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 3
[3,4,1,7,5,6,2] => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 3
[3,4,1,7,6,2,5] => {{1,3},{2,4,7},{5,6}} => {{1,4},{2,3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}} => 3
[3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => {{1,4},{2,3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}} => 3
[3,4,2,1,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => {{1,4},{2,3},{5},{6},{7}} => {{1,2,3,4},{5,7},{6}} => 7
[3,4,2,1,5,7,6] => {{1,3},{2,4},{5},{6,7}} => {{1,4},{2,3,7},{5},{6}} => {{1,5},{2,3,4,7},{6}} => 7
[3,4,2,1,6,5,7] => {{1,3},{2,4},{5,6},{7}} => {{1,4},{2,3,6},{5},{7}} => {{1,2,5},{3,4,7},{6}} => 6
[3,4,2,1,6,7,5] => {{1,3},{2,4},{5,6,7}} => {{1,4,7},{2,3,6},{5}} => {{1},{2,5},{3,4,7},{6}} => 4
[3,4,2,1,7,5,6] => {{1,3},{2,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => 4
[3,4,2,1,7,6,5] => {{1,3},{2,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => 4
[3,4,2,5,1,6,7] => {{1,3},{2,4,5},{6},{7}} => {{1,4},{2,3,5},{6},{7}} => {{1,2,3,5},{4,7},{6}} => 7
[3,4,2,5,1,7,6] => {{1,3},{2,4,5},{6,7}} => {{1,4,7},{2,3,5},{6}} => {{1},{2,3,5},{4,7},{6}} => 4
[3,4,2,5,6,1,7] => {{1,3},{2,4,5,6},{7}} => {{1,4,6},{2,3,5},{7}} => {{1,2},{3,5},{4,7},{6}} => 3
[3,4,2,5,6,7,1] => {{1,3},{2,4,5,6,7}} => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 6
[3,4,2,5,7,1,6] => {{1,3},{2,4,5,7},{6}} => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 3
[3,4,2,5,7,6,1] => {{1,3},{2,4,5,7},{6}} => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 3
[3,4,2,6,1,5,7] => {{1,3},{2,4,6},{5},{7}} => {{1,4,6},{2,3},{5},{7}} => {{1,2},{3,4},{5,7},{6}} => 3
[3,4,2,6,1,7,5] => {{1,3},{2,4,6,7},{5}} => {{1,4,6},{2,3},{5,7}} => {{1,3},{2,4},{5,7},{6}} => 3
[3,4,2,6,5,1,7] => {{1,3},{2,4,6},{5},{7}} => {{1,4,6},{2,3},{5},{7}} => {{1,2},{3,4},{5,7},{6}} => 3
[3,4,2,6,5,7,1] => {{1,3},{2,4,6,7},{5}} => {{1,4,6},{2,3},{5,7}} => {{1,3},{2,4},{5,7},{6}} => 3
[3,4,2,6,7,1,5] => {{1,3},{2,4,6},{5,7}} => {{1,4,6},{2,3,7},{5}} => {{1,5},{2,7},{3,4},{6}} => 3
[3,4,2,6,7,5,1] => {{1,3},{2,4,6},{5,7}} => {{1,4,6},{2,3,7},{5}} => {{1,5},{2,7},{3,4},{6}} => 3
[3,4,2,7,1,5,6] => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 3
[3,4,2,7,1,6,5] => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 3
[3,4,2,7,5,1,6] => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 3
[3,4,2,7,5,6,1] => {{1,3},{2,4,7},{5},{6}} => {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 3
[3,4,2,7,6,1,5] => {{1,3},{2,4,7},{5,6}} => {{1,4},{2,3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}} => 3
[3,4,2,7,6,5,1] => {{1,3},{2,4,7},{5,6}} => {{1,4},{2,3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}} => 3
[3,4,5,1,2,6,7] => {{1,3,5},{2,4},{6},{7}} => {{1,4,5},{2,3},{6},{7}} => {{1,2,3},{4},{5,7},{6}} => 4
[3,4,5,1,2,7,6] => {{1,3,5},{2,4},{6,7}} => {{1,4,5},{2,3,7},{6}} => {{1,5},{2,3,7},{4},{6}} => 4
[3,4,5,1,6,2,7] => {{1,3,5,6},{2,4},{7}} => {{1,4,5,6},{2,3},{7}} => {{1,2},{3},{4},{5,7},{6}} => 2
[3,4,5,1,6,7,2] => {{1,3,5,6,7},{2,4}} => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 1
[3,4,5,1,7,2,6] => {{1,3,5,7},{2,4},{6}} => {{1,4,5},{2,3},{6,7}} => {{1,3},{2},{4},{5,7},{6}} => 2
[3,4,5,1,7,6,2] => {{1,3,5,7},{2,4},{6}} => {{1,4,5},{2,3},{6,7}} => {{1,3},{2},{4},{5,7},{6}} => 2
[3,4,5,2,1,6,7] => {{1,3,5},{2,4},{6},{7}} => {{1,4,5},{2,3},{6},{7}} => {{1,2,3},{4},{5,7},{6}} => 4
[3,4,5,2,1,7,6] => {{1,3,5},{2,4},{6,7}} => {{1,4,5},{2,3,7},{6}} => {{1,5},{2,3,7},{4},{6}} => 4
[3,4,5,2,6,1,7] => {{1,3,5,6},{2,4},{7}} => {{1,4,5,6},{2,3},{7}} => {{1,2},{3},{4},{5,7},{6}} => 2
[3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 1
[3,4,5,2,7,1,6] => {{1,3,5,7},{2,4},{6}} => {{1,4,5},{2,3},{6,7}} => {{1,3},{2},{4},{5,7},{6}} => 2
[3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => {{1,4,5},{2,3},{6,7}} => {{1,3},{2},{4},{5,7},{6}} => 2
[3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => {{1,4,5},{2,3,6},{7}} => {{1,2,5},{3,7},{4},{6}} => 4
[3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 2
[3,4,5,6,2,1,7] => {{1,3,5},{2,4,6},{7}} => {{1,4,5},{2,3,6},{7}} => {{1,2,5},{3,7},{4},{6}} => 4
[3,4,5,6,2,7,1] => {{1,3,5},{2,4,6,7}} => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 2
[3,4,5,6,7,1,2] => {{1,3,5,7},{2,4,6}} => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 2
[3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 2
[3,4,5,7,1,2,6] => {{1,3,5},{2,4,7},{6}} => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 2
[3,4,5,7,1,6,2] => {{1,3,5},{2,4,7},{6}} => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 2
[3,4,5,7,2,1,6] => {{1,3,5},{2,4,7},{6}} => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 2
[3,4,5,7,2,6,1] => {{1,3,5},{2,4,7},{6}} => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 2
[3,4,5,7,6,1,2] => {{1,3,5,6},{2,4,7}} => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 2
[3,4,5,7,6,2,1] => {{1,3,5,6},{2,4,7}} => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 2
[3,4,6,1,2,5,7] => {{1,3,6},{2,4},{5},{7}} => {{1,4},{2,3},{5,6},{7}} => {{1,2,4},{3},{5,7},{6}} => 4
[3,4,6,1,2,7,5] => {{1,3,6,7},{2,4},{5}} => {{1,4},{2,3},{5,6,7}} => {{1,4},{2},{3},{5,7},{6}} => 2
[3,4,6,1,5,2,7] => {{1,3,6},{2,4},{5},{7}} => {{1,4},{2,3},{5,6},{7}} => {{1,2,4},{3},{5,7},{6}} => 4
[3,4,6,1,5,7,2] => {{1,3,6,7},{2,4},{5}} => {{1,4},{2,3},{5,6,7}} => {{1,4},{2},{3},{5,7},{6}} => 2
[3,4,6,1,7,2,5] => {{1,3,6},{2,4},{5,7}} => {{1,4},{2,3,7},{5,6}} => {{1,5},{2,4,7},{3},{6}} => 4
[3,4,6,1,7,5,2] => {{1,3,6},{2,4},{5,7}} => {{1,4},{2,3,7},{5,6}} => {{1,5},{2,4,7},{3},{6}} => 4
[3,4,6,2,1,5,7] => {{1,3,6},{2,4},{5},{7}} => {{1,4},{2,3},{5,6},{7}} => {{1,2,4},{3},{5,7},{6}} => 4
[3,4,6,2,1,7,5] => {{1,3,6,7},{2,4},{5}} => {{1,4},{2,3},{5,6,7}} => {{1,4},{2},{3},{5,7},{6}} => 2
[3,4,6,2,5,1,7] => {{1,3,6},{2,4},{5},{7}} => {{1,4},{2,3},{5,6},{7}} => {{1,2,4},{3},{5,7},{6}} => 4
[3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => {{1,4},{2,3},{5,6,7}} => {{1,4},{2},{3},{5,7},{6}} => 2
[3,4,6,2,7,1,5] => {{1,3,6},{2,4},{5,7}} => {{1,4},{2,3,7},{5,6}} => {{1,5},{2,4,7},{3},{6}} => 4
[3,4,6,2,7,5,1] => {{1,3,6},{2,4},{5,7}} => {{1,4},{2,3,7},{5,6}} => {{1,5},{2,4,7},{3},{6}} => 4
[3,4,6,5,1,2,7] => {{1,3,6},{2,4,5},{7}} => {{1,4},{2,3,5,6},{7}} => {{1,2,5},{3},{4,7},{6}} => 4
[3,4,6,5,1,7,2] => {{1,3,6,7},{2,4,5}} => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 2
[3,4,6,5,2,1,7] => {{1,3,6},{2,4,5},{7}} => {{1,4},{2,3,5,6},{7}} => {{1,2,5},{3},{4,7},{6}} => 4
[3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 2
[3,4,6,5,7,1,2] => {{1,3,6},{2,4,5,7}} => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 2
[3,4,6,5,7,2,1] => {{1,3,6},{2,4,5,7}} => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 2
[3,4,6,7,1,2,5] => {{1,3,6},{2,4,7},{5}} => {{1,4,7},{2,3},{5,6}} => {{1},{2,4},{3},{5,7},{6}} => 2
[3,4,6,7,1,5,2] => {{1,3,6},{2,4,7},{5}} => {{1,4,7},{2,3},{5,6}} => {{1},{2,4},{3},{5,7},{6}} => 2
[3,4,6,7,2,1,5] => {{1,3,6},{2,4,7},{5}} => {{1,4,7},{2,3},{5,6}} => {{1},{2,4},{3},{5,7},{6}} => 2
[3,4,6,7,2,5,1] => {{1,3,6},{2,4,7},{5}} => {{1,4,7},{2,3},{5,6}} => {{1},{2,4},{3},{5,7},{6}} => 2
[3,4,6,7,5,1,2] => {{1,3,6},{2,4,7},{5}} => {{1,4,7},{2,3},{5,6}} => {{1},{2,4},{3},{5,7},{6}} => 2
[3,4,6,7,5,2,1] => {{1,3,6},{2,4,7},{5}} => {{1,4,7},{2,3},{5,6}} => {{1},{2,4},{3},{5,7},{6}} => 2
[3,4,7,1,2,5,6] => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}} => 4
[3,4,7,1,2,6,5] => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}} => 4
[3,4,7,1,5,2,6] => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}} => 4
[3,4,7,1,5,6,2] => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}} => 4
[3,4,7,1,6,2,5] => {{1,3,7},{2,4},{5,6}} => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 4
[3,4,7,1,6,5,2] => {{1,3,7},{2,4},{5,6}} => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 4
[3,4,7,2,1,5,6] => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}} => 4
[3,4,7,2,1,6,5] => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}} => 4
[3,4,7,2,5,1,6] => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}} => 4
[3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}} => 4
[3,4,7,2,6,1,5] => {{1,3,7},{2,4},{5,6}} => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 4
[3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 4
[3,4,7,5,1,2,6] => {{1,3,7},{2,4,5},{6}} => {{1,4},{2,3,5},{6,7}} => {{1,3,5},{2},{4,7},{6}} => 4
[3,4,7,5,1,6,2] => {{1,3,7},{2,4,5},{6}} => {{1,4},{2,3,5},{6,7}} => {{1,3,5},{2},{4,7},{6}} => 4
[3,4,7,5,2,1,6] => {{1,3,7},{2,4,5},{6}} => {{1,4},{2,3,5},{6,7}} => {{1,3,5},{2},{4,7},{6}} => 4
[3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => {{1,4},{2,3,5},{6,7}} => {{1,3,5},{2},{4,7},{6}} => 4
[3,4,7,5,6,1,2] => {{1,3,7},{2,4,5,6}} => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 2
[3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 2
[3,4,7,6,1,2,5] => {{1,3,7},{2,4,6},{5}} => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 2
[3,4,7,6,1,5,2] => {{1,3,7},{2,4,6},{5}} => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 2
[3,4,7,6,2,1,5] => {{1,3,7},{2,4,6},{5}} => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 2
[3,4,7,6,2,5,1] => {{1,3,7},{2,4,6},{5}} => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 2
[3,4,7,6,5,1,2] => {{1,3,7},{2,4,6},{5}} => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 2
[3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 2
[3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}} => {{1,2,3,7},{4,5},{6}} => 7
[3,5,1,2,4,7,6] => {{1,3},{2,5},{4},{6,7}} => {{1,7},{2,3,5},{4},{6}} => {{1},{2,3,7},{4,5},{6}} => 4
[3,5,1,2,6,4,7] => {{1,3},{2,5,6},{4},{7}} => {{1},{2,3,5},{4,6},{7}} => {{1,2,4,7},{3,5},{6}} => 7
[3,5,1,2,6,7,4] => {{1,3},{2,5,6,7},{4}} => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 3
[3,5,1,2,7,4,6] => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,5,1,2,7,6,4] => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,5,1,4,2,6,7] => {{1,3},{2,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}} => {{1,2,3,7},{4,5},{6}} => 7
[3,5,1,4,2,7,6] => {{1,3},{2,5},{4},{6,7}} => {{1,7},{2,3,5},{4},{6}} => {{1},{2,3,7},{4,5},{6}} => 4
[3,5,1,4,6,2,7] => {{1,3},{2,5,6},{4},{7}} => {{1},{2,3,5},{4,6},{7}} => {{1,2,4,7},{3,5},{6}} => 7
[3,5,1,4,6,7,2] => {{1,3},{2,5,6,7},{4}} => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 3
[3,5,1,4,7,2,6] => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,5,1,4,7,6,2] => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => {{1,6},{2,3,5},{4},{7}} => {{1,2},{3,7},{4,5},{6}} => 3
[3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => {{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}} => 3
[3,5,1,6,4,2,7] => {{1,3},{2,5},{4,6},{7}} => {{1,6},{2,3,5},{4},{7}} => {{1,2},{3,7},{4,5},{6}} => 3
[3,5,1,6,4,7,2] => {{1,3},{2,5},{4,6,7}} => {{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}} => 3
[3,5,1,6,7,2,4] => {{1,3},{2,5,7},{4,6}} => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 3
[3,5,1,6,7,4,2] => {{1,3},{2,5,7},{4,6}} => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 3
[3,5,1,7,2,4,6] => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 6
[3,5,1,7,2,6,4] => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 6
[3,5,1,7,4,2,6] => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 6
[3,5,1,7,4,6,2] => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 6
[3,5,1,7,6,2,4] => {{1,3},{2,5,6},{4,7}} => {{1,7},{2,3,5},{4,6}} => {{1},{2,4,7},{3,5},{6}} => 4
[3,5,1,7,6,4,2] => {{1,3},{2,5,6},{4,7}} => {{1,7},{2,3,5},{4,6}} => {{1},{2,4,7},{3,5},{6}} => 4
[3,5,2,1,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}} => {{1,2,3,7},{4,5},{6}} => 7
[3,5,2,1,4,7,6] => {{1,3},{2,5},{4},{6,7}} => {{1,7},{2,3,5},{4},{6}} => {{1},{2,3,7},{4,5},{6}} => 4
[3,5,2,1,6,4,7] => {{1,3},{2,5,6},{4},{7}} => {{1},{2,3,5},{4,6},{7}} => {{1,2,4,7},{3,5},{6}} => 7
[3,5,2,1,6,7,4] => {{1,3},{2,5,6,7},{4}} => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 3
[3,5,2,1,7,4,6] => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,5,2,1,7,6,4] => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,5,2,4,1,6,7] => {{1,3},{2,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}} => {{1,2,3,7},{4,5},{6}} => 7
[3,5,2,4,1,7,6] => {{1,3},{2,5},{4},{6,7}} => {{1,7},{2,3,5},{4},{6}} => {{1},{2,3,7},{4,5},{6}} => 4
[3,5,2,4,6,1,7] => {{1,3},{2,5,6},{4},{7}} => {{1},{2,3,5},{4,6},{7}} => {{1,2,4,7},{3,5},{6}} => 7
[3,5,2,4,6,7,1] => {{1,3},{2,5,6,7},{4}} => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 3
[3,5,2,4,7,1,6] => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,5,2,4,7,6,1] => {{1,3},{2,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,5,2,6,1,4,7] => {{1,3},{2,5},{4,6},{7}} => {{1,6},{2,3,5},{4},{7}} => {{1,2},{3,7},{4,5},{6}} => 3
[3,5,2,6,1,7,4] => {{1,3},{2,5},{4,6,7}} => {{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}} => 3
[3,5,2,6,4,1,7] => {{1,3},{2,5},{4,6},{7}} => {{1,6},{2,3,5},{4},{7}} => {{1,2},{3,7},{4,5},{6}} => 3
[3,5,2,6,4,7,1] => {{1,3},{2,5},{4,6,7}} => {{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}} => 3
[3,5,2,6,7,1,4] => {{1,3},{2,5,7},{4,6}} => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 3
[3,5,2,6,7,4,1] => {{1,3},{2,5,7},{4,6}} => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 3
[3,5,2,7,1,4,6] => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 6
[3,5,2,7,1,6,4] => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 6
[3,5,2,7,4,1,6] => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 6
[3,5,2,7,4,6,1] => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 6
[3,5,2,7,6,1,4] => {{1,3},{2,5,6},{4,7}} => {{1,7},{2,3,5},{4,6}} => {{1},{2,4,7},{3,5},{6}} => 4
[3,5,2,7,6,4,1] => {{1,3},{2,5,6},{4,7}} => {{1,7},{2,3,5},{4,6}} => {{1},{2,4,7},{3,5},{6}} => 4
[3,5,4,1,2,6,7] => {{1,3,4},{2,5},{6},{7}} => {{1,5},{2,3,4},{6},{7}} => {{1,2,3},{4,7},{5},{6}} => 4
[3,5,4,1,2,7,6] => {{1,3,4},{2,5},{6,7}} => {{1,5},{2,3,4,7},{6}} => {{1,4},{2,3,7},{5},{6}} => 4
[3,5,4,1,6,2,7] => {{1,3,4},{2,5,6},{7}} => {{1,5},{2,3,4,6},{7}} => {{1,2,4},{3,7},{5},{6}} => 4
[3,5,4,1,6,7,2] => {{1,3,4},{2,5,6,7}} => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 2
[3,5,4,1,7,2,6] => {{1,3,4},{2,5,7},{6}} => {{1,5,7},{2,3,4},{6}} => {{1},{2,3},{4,7},{5},{6}} => 2
[3,5,4,1,7,6,2] => {{1,3,4},{2,5,7},{6}} => {{1,5,7},{2,3,4},{6}} => {{1},{2,3},{4,7},{5},{6}} => 2
[3,5,4,2,1,6,7] => {{1,3,4},{2,5},{6},{7}} => {{1,5},{2,3,4},{6},{7}} => {{1,2,3},{4,7},{5},{6}} => 4
[3,5,4,2,1,7,6] => {{1,3,4},{2,5},{6,7}} => {{1,5},{2,3,4,7},{6}} => {{1,4},{2,3,7},{5},{6}} => 4
[3,5,4,2,6,1,7] => {{1,3,4},{2,5,6},{7}} => {{1,5},{2,3,4,6},{7}} => {{1,2,4},{3,7},{5},{6}} => 4
[3,5,4,2,6,7,1] => {{1,3,4},{2,5,6,7}} => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 2
[3,5,4,2,7,1,6] => {{1,3,4},{2,5,7},{6}} => {{1,5,7},{2,3,4},{6}} => {{1},{2,3},{4,7},{5},{6}} => 2
[3,5,4,2,7,6,1] => {{1,3,4},{2,5,7},{6}} => {{1,5,7},{2,3,4},{6}} => {{1},{2,3},{4,7},{5},{6}} => 2
[3,5,4,6,1,2,7] => {{1,3,4,6},{2,5},{7}} => {{1,5,6},{2,3,4},{7}} => {{1,2},{3},{4,7},{5},{6}} => 2
[3,5,4,6,1,7,2] => {{1,3,4,6,7},{2,5}} => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 1
[3,5,4,6,2,1,7] => {{1,3,4,6},{2,5},{7}} => {{1,5,6},{2,3,4},{7}} => {{1,2},{3},{4,7},{5},{6}} => 2
[3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 1
[3,5,4,6,7,1,2] => {{1,3,4,6},{2,5,7}} => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 2
[3,5,4,6,7,2,1] => {{1,3,4,6},{2,5,7}} => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 2
[3,5,4,7,1,2,6] => {{1,3,4,7},{2,5},{6}} => {{1,5},{2,3,4},{6,7}} => {{1,3},{2},{4,7},{5},{6}} => 2
[3,5,4,7,1,6,2] => {{1,3,4,7},{2,5},{6}} => {{1,5},{2,3,4},{6,7}} => {{1,3},{2},{4,7},{5},{6}} => 2
[3,5,4,7,2,1,6] => {{1,3,4,7},{2,5},{6}} => {{1,5},{2,3,4},{6,7}} => {{1,3},{2},{4,7},{5},{6}} => 2
[3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => {{1,5},{2,3,4},{6,7}} => {{1,3},{2},{4,7},{5},{6}} => 2
[3,5,4,7,6,1,2] => {{1,3,4,7},{2,5,6}} => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 2
[3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 2
[3,5,6,1,2,4,7] => {{1,3,6},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 4
[3,5,6,1,2,7,4] => {{1,3,6,7},{2,5},{4}} => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,5,6,1,4,2,7] => {{1,3,6},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 4
[3,5,6,1,4,7,2] => {{1,3,6,7},{2,5},{4}} => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,5,6,1,7,2,4] => {{1,3,6},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 4
[3,5,6,1,7,4,2] => {{1,3,6},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 4
[3,5,6,2,1,4,7] => {{1,3,6},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 4
[3,5,6,2,1,7,4] => {{1,3,6,7},{2,5},{4}} => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,5,6,2,4,1,7] => {{1,3,6},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 4
[3,5,6,2,4,7,1] => {{1,3,6,7},{2,5},{4}} => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,5,6,2,7,1,4] => {{1,3,6},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 4
[3,5,6,2,7,4,1] => {{1,3,6},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 4
[3,5,6,4,1,2,7] => {{1,3,6},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 4
[3,5,6,4,1,7,2] => {{1,3,6,7},{2,5},{4}} => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,5,6,4,2,1,7] => {{1,3,6},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 4
[3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,5,6,4,7,1,2] => {{1,3,6},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 4
[3,5,6,4,7,2,1] => {{1,3,6},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 4
[3,5,6,7,1,2,4] => {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 2
[3,5,6,7,1,4,2] => {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 2
[3,5,6,7,2,1,4] => {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 2
[3,5,6,7,2,4,1] => {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 2
[3,5,6,7,4,1,2] => {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 2
[3,5,6,7,4,2,1] => {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 2
[3,5,7,1,2,4,6] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,1,2,6,4] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,1,4,2,6] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,1,4,6,2] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,1,6,2,4] => {{1,3,7},{2,5,6},{4}} => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 4
[3,5,7,1,6,4,2] => {{1,3,7},{2,5,6},{4}} => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 4
[3,5,7,2,1,4,6] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,2,1,6,4] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,2,4,1,6] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,2,4,6,1] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,2,6,1,4] => {{1,3,7},{2,5,6},{4}} => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 4
[3,5,7,2,6,4,1] => {{1,3,7},{2,5,6},{4}} => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 4
[3,5,7,4,1,2,6] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,4,1,6,2] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,4,2,1,6] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 4
[3,5,7,4,6,1,2] => {{1,3,7},{2,5,6},{4}} => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 4
[3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 4
[3,5,7,6,1,2,4] => {{1,3,7},{2,5},{4,6}} => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 2
[3,5,7,6,1,4,2] => {{1,3,7},{2,5},{4,6}} => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 2
[3,5,7,6,2,1,4] => {{1,3,7},{2,5},{4,6}} => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 2
[3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 2
[3,5,7,6,4,1,2] => {{1,3,7},{2,5},{4,6}} => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 2
[3,5,7,6,4,2,1] => {{1,3,7},{2,5},{4,6}} => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 2
[3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}} => 7
[3,6,1,2,4,7,5] => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}} => 7
[3,6,1,2,5,4,7] => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}} => 7
[3,6,1,2,5,7,4] => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}} => 7
[3,6,1,2,7,4,5] => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}} => 4
[3,6,1,2,7,5,4] => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}} => 4
[3,6,1,4,2,5,7] => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}} => 7
[3,6,1,4,2,7,5] => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}} => 7
[3,6,1,4,5,2,7] => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}} => 7
[3,6,1,4,5,7,2] => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}} => 7
[3,6,1,4,7,2,5] => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}} => 4
[3,6,1,4,7,5,2] => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}} => 4
[3,6,1,5,2,4,7] => {{1,3},{2,6},{4,5},{7}} => {{1,5},{2,3},{4,6},{7}} => {{1,2,4},{3,5,7},{6}} => 6
[3,6,1,5,2,7,4] => {{1,3},{2,6,7},{4,5}} => {{1,5,7},{2,3},{4,6}} => {{1},{2,4},{3,5,7},{6}} => 4
[3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => {{1,5},{2,3},{4,6},{7}} => {{1,2,4},{3,5,7},{6}} => 6
[3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => {{1,5,7},{2,3},{4,6}} => {{1},{2,4},{3,5,7},{6}} => 4
[3,6,1,5,7,2,4] => {{1,3},{2,6},{4,5,7}} => {{1,5},{2,3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}} => 3
[3,6,1,5,7,4,2] => {{1,3},{2,6},{4,5,7}} => {{1,5},{2,3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}} => 3
[3,6,1,7,2,4,5] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,1,7,2,5,4] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,1,7,4,2,5] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,1,7,4,5,2] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,1,7,5,2,4] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,1,7,5,4,2] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,2,1,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}} => 7
[3,6,2,1,4,7,5] => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}} => 7
[3,6,2,1,5,4,7] => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}} => 7
[3,6,2,1,5,7,4] => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}} => 7
[3,6,2,1,7,4,5] => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}} => 4
[3,6,2,1,7,5,4] => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}} => 4
[3,6,2,4,1,5,7] => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}} => 7
[3,6,2,4,1,7,5] => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}} => 7
[3,6,2,4,5,1,7] => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}} => 7
[3,6,2,4,5,7,1] => {{1,3},{2,6,7},{4},{5}} => {{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}} => 7
[3,6,2,4,7,1,5] => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}} => 4
[3,6,2,4,7,5,1] => {{1,3},{2,6},{4},{5,7}} => {{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}} => 4
[3,6,2,5,1,4,7] => {{1,3},{2,6},{4,5},{7}} => {{1,5},{2,3},{4,6},{7}} => {{1,2,4},{3,5,7},{6}} => 6
[3,6,2,5,1,7,4] => {{1,3},{2,6,7},{4,5}} => {{1,5,7},{2,3},{4,6}} => {{1},{2,4},{3,5,7},{6}} => 4
[3,6,2,5,4,1,7] => {{1,3},{2,6},{4,5},{7}} => {{1,5},{2,3},{4,6},{7}} => {{1,2,4},{3,5,7},{6}} => 6
[3,6,2,5,4,7,1] => {{1,3},{2,6,7},{4,5}} => {{1,5,7},{2,3},{4,6}} => {{1},{2,4},{3,5,7},{6}} => 4
[3,6,2,5,7,1,4] => {{1,3},{2,6},{4,5,7}} => {{1,5},{2,3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}} => 3
[3,6,2,5,7,4,1] => {{1,3},{2,6},{4,5,7}} => {{1,5},{2,3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}} => 3
[3,6,2,7,1,4,5] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,2,7,1,5,4] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,2,7,4,1,5] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,2,7,4,5,1] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,2,7,5,1,4] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,2,7,5,4,1] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 3
[3,6,4,1,2,5,7] => {{1,3,4},{2,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 4
[3,6,4,1,2,7,5] => {{1,3,4},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 4
[3,6,4,1,5,2,7] => {{1,3,4},{2,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 4
[3,6,4,1,5,7,2] => {{1,3,4},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 4
[3,6,4,1,7,2,5] => {{1,3,4},{2,6},{5,7}} => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 2
[3,6,4,1,7,5,2] => {{1,3,4},{2,6},{5,7}} => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 2
[3,6,4,2,1,5,7] => {{1,3,4},{2,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 4
[3,6,4,2,1,7,5] => {{1,3,4},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 4
[3,6,4,2,5,1,7] => {{1,3,4},{2,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 4
[3,6,4,2,5,7,1] => {{1,3,4},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 4
[3,6,4,2,7,1,5] => {{1,3,4},{2,6},{5,7}} => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 2
[3,6,4,2,7,5,1] => {{1,3,4},{2,6},{5,7}} => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 2
[3,6,4,5,1,2,7] => {{1,3,4,5},{2,6},{7}} => {{1,6},{2,3,4,5},{7}} => {{1,2},{3,7},{4},{5},{6}} => 2
[3,6,4,5,1,7,2] => {{1,3,4,5},{2,6,7}} => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 2
[3,6,4,5,2,1,7] => {{1,3,4,5},{2,6},{7}} => {{1,6},{2,3,4,5},{7}} => {{1,2},{3,7},{4},{5},{6}} => 2
[3,6,4,5,2,7,1] => {{1,3,4,5},{2,6,7}} => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 2
[3,6,4,5,7,1,2] => {{1,3,4,5,7},{2,6}} => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 1
[3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 1
[3,6,4,7,1,2,5] => {{1,3,4,7},{2,6},{5}} => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,6,4,7,1,5,2] => {{1,3,4,7},{2,6},{5}} => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,6,4,7,2,1,5] => {{1,3,4,7},{2,6},{5}} => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,6,4,7,2,5,1] => {{1,3,4,7},{2,6},{5}} => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,6,4,7,5,1,2] => {{1,3,4,7},{2,6},{5}} => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,6,5,1,2,4,7] => {{1,3,5},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7}} => {{1,2,7},{3,5},{4},{6}} => 4
[3,6,5,1,2,7,4] => {{1,3,5},{2,6,7},{4}} => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 4
[3,6,5,1,4,2,7] => {{1,3,5},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7}} => {{1,2,7},{3,5},{4},{6}} => 4
[3,6,5,1,4,7,2] => {{1,3,5},{2,6,7},{4}} => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 4
[3,6,5,1,7,2,4] => {{1,3,5,7},{2,6},{4}} => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 2
[3,6,5,1,7,4,2] => {{1,3,5,7},{2,6},{4}} => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 2
[3,6,5,2,1,4,7] => {{1,3,5},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7}} => {{1,2,7},{3,5},{4},{6}} => 4
[3,6,5,2,1,7,4] => {{1,3,5},{2,6,7},{4}} => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 4
[3,6,5,2,4,1,7] => {{1,3,5},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7}} => {{1,2,7},{3,5},{4},{6}} => 4
[3,6,5,2,4,7,1] => {{1,3,5},{2,6,7},{4}} => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 4
[3,6,5,2,7,1,4] => {{1,3,5,7},{2,6},{4}} => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 2
[3,6,5,2,7,4,1] => {{1,3,5,7},{2,6},{4}} => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 2
[3,6,5,4,1,2,7] => {{1,3,5},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7}} => {{1,2,7},{3,5},{4},{6}} => 4
[3,6,5,4,1,7,2] => {{1,3,5},{2,6,7},{4}} => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 4
[3,6,5,4,2,1,7] => {{1,3,5},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7}} => {{1,2,7},{3,5},{4},{6}} => 4
[3,6,5,4,2,7,1] => {{1,3,5},{2,6,7},{4}} => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 4
[3,6,5,4,7,1,2] => {{1,3,5,7},{2,6},{4}} => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 2
[3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 2
[3,6,5,7,1,2,4] => {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}} => {{1},{2,7},{3,5},{4},{6}} => 2
[3,6,5,7,1,4,2] => {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}} => {{1},{2,7},{3,5},{4},{6}} => 2
[3,6,5,7,2,1,4] => {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}} => {{1},{2,7},{3,5},{4},{6}} => 2
[3,6,5,7,2,4,1] => {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}} => {{1},{2,7},{3,5},{4},{6}} => 2
[3,6,5,7,4,1,2] => {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}} => {{1},{2,7},{3,5},{4},{6}} => 2
[3,6,5,7,4,2,1] => {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}} => {{1},{2,7},{3,5},{4},{6}} => 2
[3,6,7,1,2,4,5] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,1,2,5,4] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,1,4,2,5] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,1,4,5,2] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,1,5,2,4] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,1,5,4,2] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,2,1,4,5] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,2,1,5,4] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,2,4,1,5] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,2,4,5,1] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,2,5,1,4] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,2,5,4,1] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,4,1,2,5] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,4,1,5,2] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,4,2,1,5] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,4,2,5,1] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,4,5,1,2] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 4
[3,6,7,5,1,2,4] => {{1,3,7},{2,6},{4,5}} => {{1,5},{2,3},{4,6,7}} => {{1,4},{2},{3,5,7},{6}} => 4
[3,6,7,5,1,4,2] => {{1,3,7},{2,6},{4,5}} => {{1,5},{2,3},{4,6,7}} => {{1,4},{2},{3,5,7},{6}} => 4
[3,6,7,5,2,1,4] => {{1,3,7},{2,6},{4,5}} => {{1,5},{2,3},{4,6,7}} => {{1,4},{2},{3,5,7},{6}} => 4
[3,6,7,5,2,4,1] => {{1,3,7},{2,6},{4,5}} => {{1,5},{2,3},{4,6,7}} => {{1,4},{2},{3,5,7},{6}} => 4
[3,6,7,5,4,1,2] => {{1,3,7},{2,6},{4,5}} => {{1,5},{2,3},{4,6,7}} => {{1,4},{2},{3,5,7},{6}} => 4
[3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => {{1,5},{2,3},{4,6,7}} => {{1,4},{2},{3,5,7},{6}} => 4
[3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,1,2,4,6,5] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,1,2,5,4,6] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,1,2,5,6,4] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,1,2,6,4,5] => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}} => 7
[3,7,1,2,6,5,4] => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}} => 7
[3,7,1,4,2,5,6] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,1,4,2,6,5] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,1,4,5,2,6] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,1,4,5,6,2] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,1,4,6,2,5] => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}} => 7
[3,7,1,4,6,5,2] => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}} => 7
[3,7,1,5,2,4,6] => {{1,3},{2,7},{4,5},{6}} => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 4
[3,7,1,5,2,6,4] => {{1,3},{2,7},{4,5},{6}} => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 4
[3,7,1,5,4,2,6] => {{1,3},{2,7},{4,5},{6}} => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 4
[3,7,1,5,4,6,2] => {{1,3},{2,7},{4,5},{6}} => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 4
[3,7,1,5,6,2,4] => {{1,3},{2,7},{4,5,6}} => {{1,5,7},{2,3,6},{4}} => {{1},{2,4,5},{3,7},{6}} => 4
[3,7,1,5,6,4,2] => {{1,3},{2,7},{4,5,6}} => {{1,5,7},{2,3,6},{4}} => {{1},{2,4,5},{3,7},{6}} => 4
[3,7,1,6,2,4,5] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,1,6,2,5,4] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,1,6,4,2,5] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,1,6,4,5,2] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,1,6,5,2,4] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,1,6,5,4,2] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,2,1,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,2,1,4,6,5] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,2,1,5,4,6] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,2,1,5,6,4] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,2,1,6,4,5] => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}} => 7
[3,7,2,1,6,5,4] => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}} => 7
[3,7,2,4,1,5,6] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,2,4,1,6,5] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,2,4,5,1,6] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,2,4,5,6,1] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 7
[3,7,2,4,6,1,5] => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}} => 7
[3,7,2,4,6,5,1] => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}} => 7
[3,7,2,5,1,4,6] => {{1,3},{2,7},{4,5},{6}} => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 4
[3,7,2,5,1,6,4] => {{1,3},{2,7},{4,5},{6}} => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 4
[3,7,2,5,4,1,6] => {{1,3},{2,7},{4,5},{6}} => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 4
[3,7,2,5,4,6,1] => {{1,3},{2,7},{4,5},{6}} => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 4
[3,7,2,5,6,1,4] => {{1,3},{2,7},{4,5,6}} => {{1,5,7},{2,3,6},{4}} => {{1},{2,4,5},{3,7},{6}} => 4
[3,7,2,5,6,4,1] => {{1,3},{2,7},{4,5,6}} => {{1,5,7},{2,3,6},{4}} => {{1},{2,4,5},{3,7},{6}} => 4
[3,7,2,6,1,4,5] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,2,6,1,5,4] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,2,6,4,1,5] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,2,6,4,5,1] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,2,6,5,1,4] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,2,6,5,4,1] => {{1,3},{2,7},{4,6},{5}} => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 6
[3,7,4,1,2,5,6] => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 4
[3,7,4,1,2,6,5] => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 4
[3,7,4,1,5,2,6] => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 4
[3,7,4,1,5,6,2] => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 4
[3,7,4,1,6,2,5] => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,3,4},{5,7}} => {{1,3},{2,4,7},{5},{6}} => 4
[3,7,4,1,6,5,2] => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,3,4},{5,7}} => {{1,3},{2,4,7},{5},{6}} => 4
[3,7,4,2,1,5,6] => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 4
[3,7,4,2,1,6,5] => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 4
[3,7,4,2,5,1,6] => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 4
[3,7,4,2,5,6,1] => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 4
[3,7,4,2,6,1,5] => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,3,4},{5,7}} => {{1,3},{2,4,7},{5},{6}} => 4
[3,7,4,2,6,5,1] => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,3,4},{5,7}} => {{1,3},{2,4,7},{5},{6}} => 4
[3,7,4,5,1,2,6] => {{1,3,4,5},{2,7},{6}} => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,7,4,5,1,6,2] => {{1,3,4,5},{2,7},{6}} => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,7,4,5,2,1,6] => {{1,3,4,5},{2,7},{6}} => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,7,4,5,2,6,1] => {{1,3,4,5},{2,7},{6}} => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,7,4,5,6,1,2] => {{1,3,4,5,6},{2,7}} => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 1
[3,7,4,5,6,2,1] => {{1,3,4,5,6},{2,7}} => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 1
[3,7,4,6,1,2,5] => {{1,3,4,6},{2,7},{5}} => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 2
[3,7,4,6,1,5,2] => {{1,3,4,6},{2,7},{5}} => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 2
[3,7,4,6,2,1,5] => {{1,3,4,6},{2,7},{5}} => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 2
[3,7,4,6,2,5,1] => {{1,3,4,6},{2,7},{5}} => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 2
[3,7,4,6,5,1,2] => {{1,3,4,6},{2,7},{5}} => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 2
[3,7,4,6,5,2,1] => {{1,3,4,6},{2,7},{5}} => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 2
[3,7,5,1,2,4,6] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,1,2,6,4] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,1,4,2,6] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,1,4,6,2] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,1,6,2,4] => {{1,3,5,6},{2,7},{4}} => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 2
[3,7,5,1,6,4,2] => {{1,3,5,6},{2,7},{4}} => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 2
[3,7,5,2,1,4,6] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,2,1,6,4] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,2,4,1,6] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,2,4,6,1] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,2,6,1,4] => {{1,3,5,6},{2,7},{4}} => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 2
[3,7,5,2,6,4,1] => {{1,3,5,6},{2,7},{4}} => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 2
[3,7,5,4,1,2,6] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,4,1,6,2] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,4,2,1,6] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,4,2,6,1] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 4
[3,7,5,4,6,1,2] => {{1,3,5,6},{2,7},{4}} => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 2
[3,7,5,4,6,2,1] => {{1,3,5,6},{2,7},{4}} => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 2
[3,7,5,6,1,2,4] => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4},{6}} => 4
[3,7,5,6,1,4,2] => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4},{6}} => 4
[3,7,5,6,2,1,4] => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4},{6}} => 4
[3,7,5,6,2,4,1] => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4},{6}} => 4
[3,7,5,6,4,1,2] => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4},{6}} => 4
[3,7,5,6,4,2,1] => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4},{6}} => 4
[3,7,6,1,2,4,5] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,1,2,5,4] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,1,4,2,5] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,1,4,5,2] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,1,5,2,4] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,1,5,4,2] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,2,1,4,5] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,2,1,5,4] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,2,4,1,5] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,2,4,5,1] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,2,5,1,4] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,2,5,4,1] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,4,1,2,5] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,4,1,5,2] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,4,2,1,5] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,4,2,5,1] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,4,5,1,2] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,4,5,2,1] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 4
[3,7,6,5,1,2,4] => {{1,3,6},{2,7},{4,5}} => {{1,5,6},{2,3},{4,7}} => {{1,4},{2,5,7},{3},{6}} => 4
[3,7,6,5,1,4,2] => {{1,3,6},{2,7},{4,5}} => {{1,5,6},{2,3},{4,7}} => {{1,4},{2,5,7},{3},{6}} => 4
[3,7,6,5,2,1,4] => {{1,3,6},{2,7},{4,5}} => {{1,5,6},{2,3},{4,7}} => {{1,4},{2,5,7},{3},{6}} => 4
[3,7,6,5,2,4,1] => {{1,3,6},{2,7},{4,5}} => {{1,5,6},{2,3},{4,7}} => {{1,4},{2,5,7},{3},{6}} => 4
[3,7,6,5,4,1,2] => {{1,3,6},{2,7},{4,5}} => {{1,5,6},{2,3},{4,7}} => {{1,4},{2,5,7},{3},{6}} => 4
[3,7,6,5,4,2,1] => {{1,3,6},{2,7},{4,5}} => {{1,5,6},{2,3},{4,7}} => {{1,4},{2,5,7},{3},{6}} => 4
[4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => {{1,2,3,4,6,7},{5}} => 15
[4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => {{1,7},{2},{3,4},{5},{6}} => {{1},{2,3,4,6,7},{5}} => 10
[4,1,2,3,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => {{1,6},{2},{3,4},{5},{7}} => {{1,2},{3,4,6,7},{5}} => 7
[4,1,2,3,6,7,5] => {{1,4},{2},{3},{5,6,7}} => {{1,6},{2,7},{3,4},{5}} => {{1,3,4,6},{2,7},{5}} => 7
[4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}} => 7
[4,1,2,3,7,6,5] => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}} => 7
[4,1,2,5,3,6,7] => {{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => {{1,2,3,6,7},{4},{5}} => 10
[4,1,2,5,3,7,6] => {{1,4,5},{2},{3},{6,7}} => {{1,7},{2},{3,4,5},{6}} => {{1},{2,3,6,7},{4},{5}} => 6
[4,1,2,5,6,3,7] => {{1,4,5,6},{2},{3},{7}} => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 6
[4,1,2,5,6,7,3] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 3
[4,1,2,5,7,3,6] => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 6
[4,1,2,5,7,6,3] => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 6
[4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}} => 10
[4,1,2,6,3,7,5] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 6
[4,1,2,6,5,3,7] => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}} => 10
[4,1,2,6,5,7,3] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 6
[4,1,2,6,7,3,5] => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}} => 6
[4,1,2,6,7,5,3] => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}} => 6
[4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,1,2,7,3,6,5] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,1,2,7,5,3,6] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,1,2,7,5,6,3] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,1,2,7,6,3,5] => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 6
[4,1,2,7,6,5,3] => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 6
[4,1,3,2,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => {{1,2,3,4,6,7},{5}} => 15
[4,1,3,2,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => {{1,7},{2},{3,4},{5},{6}} => {{1},{2,3,4,6,7},{5}} => 10
[4,1,3,2,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => {{1,6},{2},{3,4},{5},{7}} => {{1,2},{3,4,6,7},{5}} => 7
[4,1,3,2,6,7,5] => {{1,4},{2},{3},{5,6,7}} => {{1,6},{2,7},{3,4},{5}} => {{1,3,4,6},{2,7},{5}} => 7
[4,1,3,2,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}} => 7
[4,1,3,2,7,6,5] => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}} => 7
[4,1,3,5,2,6,7] => {{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => {{1,2,3,6,7},{4},{5}} => 10
[4,1,3,5,2,7,6] => {{1,4,5},{2},{3},{6,7}} => {{1,7},{2},{3,4,5},{6}} => {{1},{2,3,6,7},{4},{5}} => 6
[4,1,3,5,6,2,7] => {{1,4,5,6},{2},{3},{7}} => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 6
[4,1,3,5,6,7,2] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 3
[4,1,3,5,7,2,6] => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 6
[4,1,3,5,7,6,2] => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 6
[4,1,3,6,2,5,7] => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}} => 10
[4,1,3,6,2,7,5] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 6
[4,1,3,6,5,2,7] => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}} => 10
[4,1,3,6,5,7,2] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 6
[4,1,3,6,7,2,5] => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}} => 6
[4,1,3,6,7,5,2] => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}} => 6
[4,1,3,7,2,5,6] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,1,3,7,2,6,5] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,1,3,7,5,2,6] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,1,3,7,5,6,2] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,1,3,7,6,2,5] => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 6
[4,1,3,7,6,5,2] => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 6
[4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => {{1,5},{2},{3,4},{6},{7}} => {{1,2,3},{4,6,7},{5}} => 6
[4,1,5,2,3,7,6] => {{1,4},{2},{3,5},{6,7}} => {{1,5},{2,7},{3,4},{6}} => {{1,4,6},{2,3,7},{5}} => 6
[4,1,5,2,6,3,7] => {{1,4},{2},{3,5,6},{7}} => {{1,5},{2,6},{3,4},{7}} => {{1,2,4,6},{3,7},{5}} => 7
[4,1,5,2,6,7,3] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2,6},{3,4,7}} => {{1,4},{2,6},{3,7},{5}} => 3
[4,1,5,2,7,3,6] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 7
[4,1,5,2,7,6,3] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 7
[4,1,5,3,2,6,7] => {{1,4},{2},{3,5},{6},{7}} => {{1,5},{2},{3,4},{6},{7}} => {{1,2,3},{4,6,7},{5}} => 6
[4,1,5,3,2,7,6] => {{1,4},{2},{3,5},{6,7}} => {{1,5},{2,7},{3,4},{6}} => {{1,4,6},{2,3,7},{5}} => 6
[4,1,5,3,6,2,7] => {{1,4},{2},{3,5,6},{7}} => {{1,5},{2,6},{3,4},{7}} => {{1,2,4,6},{3,7},{5}} => 7
[4,1,5,3,6,7,2] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2,6},{3,4,7}} => {{1,4},{2,6},{3,7},{5}} => 3
[4,1,5,3,7,2,6] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 7
[4,1,5,3,7,6,2] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 7
[4,1,5,6,2,3,7] => {{1,4,6},{2},{3,5},{7}} => {{1,5,6},{2},{3,4},{7}} => {{1,2},{3},{4,6,7},{5}} => 4
[4,1,5,6,2,7,3] => {{1,4,6,7},{2},{3,5}} => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 3
[4,1,5,6,3,2,7] => {{1,4,6},{2},{3,5},{7}} => {{1,5,6},{2},{3,4},{7}} => {{1,2},{3},{4,6,7},{5}} => 4
[4,1,5,6,3,7,2] => {{1,4,6,7},{2},{3,5}} => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 3
[4,1,5,6,7,2,3] => {{1,4,6},{2},{3,5,7}} => {{1,5,6},{2,7},{3,4}} => {{1,4,6},{2,7},{3},{5}} => 4
[4,1,5,6,7,3,2] => {{1,4,6},{2},{3,5,7}} => {{1,5,6},{2,7},{3,4}} => {{1,4,6},{2,7},{3},{5}} => 4
[4,1,5,7,2,3,6] => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}} => 4
[4,1,5,7,2,6,3] => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}} => 4
[4,1,5,7,3,2,6] => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}} => 4
[4,1,5,7,3,6,2] => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}} => 4
[4,1,5,7,6,2,3] => {{1,4,7},{2},{3,5,6}} => {{1,5},{2,6,7},{3,4}} => {{1,4,6},{2},{3,7},{5}} => 4
[4,1,5,7,6,3,2] => {{1,4,7},{2},{3,5,6}} => {{1,5},{2,6,7},{3,4}} => {{1,4,6},{2},{3,7},{5}} => 4
[4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}} => 6
[4,1,6,2,3,7,5] => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 7
[4,1,6,2,5,3,7] => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}} => 6
[4,1,6,2,5,7,3] => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 7
[4,1,6,2,7,3,5] => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}} => 4
[4,1,6,2,7,5,3] => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}} => 4
[4,1,6,3,2,5,7] => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}} => 6
[4,1,6,3,2,7,5] => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 7
[4,1,6,3,5,2,7] => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}} => 6
[4,1,6,3,5,7,2] => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 7
[4,1,6,3,7,2,5] => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}} => 4
[4,1,6,3,7,5,2] => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}} => 4
[4,1,6,5,2,3,7] => {{1,4,5},{2},{3,6},{7}} => {{1,6},{2},{3,4,5},{7}} => {{1,2},{3,6,7},{4},{5}} => 4
[4,1,6,5,2,7,3] => {{1,4,5},{2},{3,6,7}} => {{1,6},{2,7},{3,4,5}} => {{1,3,6},{2,7},{4},{5}} => 4
[4,1,6,5,3,2,7] => {{1,4,5},{2},{3,6},{7}} => {{1,6},{2},{3,4,5},{7}} => {{1,2},{3,6,7},{4},{5}} => 4
[4,1,6,5,3,7,2] => {{1,4,5},{2},{3,6,7}} => {{1,6},{2,7},{3,4,5}} => {{1,3,6},{2,7},{4},{5}} => 4
[4,1,6,5,7,2,3] => {{1,4,5,7},{2},{3,6}} => {{1,6,7},{2},{3,4,5}} => {{1},{2},{3,6,7},{4},{5}} => 3
[4,1,6,5,7,3,2] => {{1,4,5,7},{2},{3,6}} => {{1,6,7},{2},{3,4,5}} => {{1},{2},{3,6,7},{4},{5}} => 3
[4,1,6,7,2,3,5] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,1,6,7,2,5,3] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,1,6,7,3,2,5] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,1,6,7,3,5,2] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,1,6,7,5,2,3] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,1,6,7,5,3,2] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,1,7,2,3,6,5] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,1,7,2,5,3,6] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,1,7,2,5,6,3] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,1,7,2,6,3,5] => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 6
[4,1,7,2,6,5,3] => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 6
[4,1,7,3,2,5,6] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,1,7,3,2,6,5] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,1,7,3,5,2,6] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,1,7,3,5,6,2] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,1,7,3,6,2,5] => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 6
[4,1,7,3,6,5,2] => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 6
[4,1,7,5,2,3,6] => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 4
[4,1,7,5,2,6,3] => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 4
[4,1,7,5,3,2,6] => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 4
[4,1,7,5,3,6,2] => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 4
[4,1,7,5,6,2,3] => {{1,4,5,6},{2},{3,7}} => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 3
[4,1,7,5,6,3,2] => {{1,4,5,6},{2},{3,7}} => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 3
[4,1,7,6,2,3,5] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,1,7,6,2,5,3] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,1,7,6,3,2,5] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,1,7,6,3,5,2] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,1,7,6,5,2,3] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,1,7,6,5,3,2] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,2,1,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => {{1,2,3,4,6,7},{5}} => 15
[4,2,1,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => {{1,7},{2},{3,4},{5},{6}} => {{1},{2,3,4,6,7},{5}} => 10
[4,2,1,3,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => {{1,6},{2},{3,4},{5},{7}} => {{1,2},{3,4,6,7},{5}} => 7
[4,2,1,3,6,7,5] => {{1,4},{2},{3},{5,6,7}} => {{1,6},{2,7},{3,4},{5}} => {{1,3,4,6},{2,7},{5}} => 7
[4,2,1,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}} => 7
[4,2,1,3,7,6,5] => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}} => 7
[4,2,1,5,3,6,7] => {{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => {{1,2,3,6,7},{4},{5}} => 10
[4,2,1,5,3,7,6] => {{1,4,5},{2},{3},{6,7}} => {{1,7},{2},{3,4,5},{6}} => {{1},{2,3,6,7},{4},{5}} => 6
[4,2,1,5,6,3,7] => {{1,4,5,6},{2},{3},{7}} => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 6
[4,2,1,5,6,7,3] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 3
[4,2,1,5,7,3,6] => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 6
[4,2,1,5,7,6,3] => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 6
[4,2,1,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}} => 10
[4,2,1,6,3,7,5] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 6
[4,2,1,6,5,3,7] => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}} => 10
[4,2,1,6,5,7,3] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 6
[4,2,1,6,7,3,5] => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}} => 6
[4,2,1,6,7,5,3] => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}} => 6
[4,2,1,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,2,1,7,3,6,5] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,2,1,7,5,3,6] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,2,1,7,5,6,3] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,2,1,7,6,3,5] => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 6
[4,2,1,7,6,5,3] => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 6
[4,2,3,1,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}} => {{1,2,3,4,6,7},{5}} => 15
[4,2,3,1,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => {{1,7},{2},{3,4},{5},{6}} => {{1},{2,3,4,6,7},{5}} => 10
[4,2,3,1,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => {{1,6},{2},{3,4},{5},{7}} => {{1,2},{3,4,6,7},{5}} => 7
[4,2,3,1,6,7,5] => {{1,4},{2},{3},{5,6,7}} => {{1,6},{2,7},{3,4},{5}} => {{1,3,4,6},{2,7},{5}} => 7
[4,2,3,1,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}} => 7
[4,2,3,1,7,6,5] => {{1,4},{2},{3},{5,7},{6}} => {{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}} => 7
[4,2,3,5,1,6,7] => {{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,5},{6},{7}} => {{1,2,3,6,7},{4},{5}} => 10
[4,2,3,5,1,7,6] => {{1,4,5},{2},{3},{6,7}} => {{1,7},{2},{3,4,5},{6}} => {{1},{2,3,6,7},{4},{5}} => 6
[4,2,3,5,6,1,7] => {{1,4,5,6},{2},{3},{7}} => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 6
[4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 3
[4,2,3,5,7,1,6] => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 6
[4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 6
[4,2,3,6,1,5,7] => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}} => 10
[4,2,3,6,1,7,5] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 6
[4,2,3,6,5,1,7] => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}} => 10
[4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 6
[4,2,3,6,7,1,5] => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}} => 6
[4,2,3,6,7,5,1] => {{1,4,6},{2},{3},{5,7}} => {{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}} => 6
[4,2,3,7,1,5,6] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,2,3,7,1,6,5] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,2,3,7,5,1,6] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,2,3,7,5,6,1] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 10
[4,2,3,7,6,1,5] => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 6
[4,2,3,7,6,5,1] => {{1,4,7},{2},{3},{5,6}} => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 6
[4,2,5,1,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => {{1,5},{2},{3,4},{6},{7}} => {{1,2,3},{4,6,7},{5}} => 6
[4,2,5,1,3,7,6] => {{1,4},{2},{3,5},{6,7}} => {{1,5},{2,7},{3,4},{6}} => {{1,4,6},{2,3,7},{5}} => 6
[4,2,5,1,6,3,7] => {{1,4},{2},{3,5,6},{7}} => {{1,5},{2,6},{3,4},{7}} => {{1,2,4,6},{3,7},{5}} => 7
[4,2,5,1,6,7,3] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2,6},{3,4,7}} => {{1,4},{2,6},{3,7},{5}} => 3
[4,2,5,1,7,3,6] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 7
[4,2,5,1,7,6,3] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 7
[4,2,5,3,1,6,7] => {{1,4},{2},{3,5},{6},{7}} => {{1,5},{2},{3,4},{6},{7}} => {{1,2,3},{4,6,7},{5}} => 6
[4,2,5,3,1,7,6] => {{1,4},{2},{3,5},{6,7}} => {{1,5},{2,7},{3,4},{6}} => {{1,4,6},{2,3,7},{5}} => 6
[4,2,5,3,6,1,7] => {{1,4},{2},{3,5,6},{7}} => {{1,5},{2,6},{3,4},{7}} => {{1,2,4,6},{3,7},{5}} => 7
[4,2,5,3,6,7,1] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2,6},{3,4,7}} => {{1,4},{2,6},{3,7},{5}} => 3
[4,2,5,3,7,1,6] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 7
[4,2,5,3,7,6,1] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 7
[4,2,5,6,1,3,7] => {{1,4,6},{2},{3,5},{7}} => {{1,5,6},{2},{3,4},{7}} => {{1,2},{3},{4,6,7},{5}} => 4
[4,2,5,6,1,7,3] => {{1,4,6,7},{2},{3,5}} => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 3
[4,2,5,6,3,1,7] => {{1,4,6},{2},{3,5},{7}} => {{1,5,6},{2},{3,4},{7}} => {{1,2},{3},{4,6,7},{5}} => 4
[4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 3
[4,2,5,6,7,1,3] => {{1,4,6},{2},{3,5,7}} => {{1,5,6},{2,7},{3,4}} => {{1,4,6},{2,7},{3},{5}} => 4
[4,2,5,6,7,3,1] => {{1,4,6},{2},{3,5,7}} => {{1,5,6},{2,7},{3,4}} => {{1,4,6},{2,7},{3},{5}} => 4
[4,2,5,7,1,3,6] => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}} => 4
[4,2,5,7,1,6,3] => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}} => 4
[4,2,5,7,3,1,6] => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}} => 4
[4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}} => 4
[4,2,5,7,6,1,3] => {{1,4,7},{2},{3,5,6}} => {{1,5},{2,6,7},{3,4}} => {{1,4,6},{2},{3,7},{5}} => 4
[4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => {{1,5},{2,6,7},{3,4}} => {{1,4,6},{2},{3,7},{5}} => 4
[4,2,6,1,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}} => 6
[4,2,6,1,3,7,5] => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 7
[4,2,6,1,5,3,7] => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}} => 6
[4,2,6,1,5,7,3] => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 7
[4,2,6,1,7,3,5] => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}} => 4
[4,2,6,1,7,5,3] => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}} => 4
[4,2,6,3,1,5,7] => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}} => 6
[4,2,6,3,1,7,5] => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 7
[4,2,6,3,5,1,7] => {{1,4},{2},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}} => 6
[4,2,6,3,5,7,1] => {{1,4},{2},{3,6,7},{5}} => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 7
[4,2,6,3,7,1,5] => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}} => 4
[4,2,6,3,7,5,1] => {{1,4},{2},{3,6},{5,7}} => {{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}} => 4
[4,2,6,5,1,3,7] => {{1,4,5},{2},{3,6},{7}} => {{1,6},{2},{3,4,5},{7}} => {{1,2},{3,6,7},{4},{5}} => 4
[4,2,6,5,1,7,3] => {{1,4,5},{2},{3,6,7}} => {{1,6},{2,7},{3,4,5}} => {{1,3,6},{2,7},{4},{5}} => 4
[4,2,6,5,3,1,7] => {{1,4,5},{2},{3,6},{7}} => {{1,6},{2},{3,4,5},{7}} => {{1,2},{3,6,7},{4},{5}} => 4
[4,2,6,5,3,7,1] => {{1,4,5},{2},{3,6,7}} => {{1,6},{2,7},{3,4,5}} => {{1,3,6},{2,7},{4},{5}} => 4
[4,2,6,5,7,1,3] => {{1,4,5,7},{2},{3,6}} => {{1,6,7},{2},{3,4,5}} => {{1},{2},{3,6,7},{4},{5}} => 3
[4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => {{1,6,7},{2},{3,4,5}} => {{1},{2},{3,6,7},{4},{5}} => 3
[4,2,6,7,1,3,5] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,2,6,7,1,5,3] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,2,6,7,3,1,5] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,2,6,7,3,5,1] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,2,6,7,5,1,3] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 4
[4,2,7,1,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,2,7,1,3,6,5] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,2,7,1,5,3,6] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,2,7,1,5,6,3] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,2,7,1,6,3,5] => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 6
[4,2,7,1,6,5,3] => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 6
[4,2,7,3,1,5,6] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,2,7,3,1,6,5] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,2,7,3,5,1,6] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,2,7,3,5,6,1] => {{1,4},{2},{3,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 6
[4,2,7,3,6,1,5] => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 6
[4,2,7,3,6,5,1] => {{1,4},{2},{3,7},{5,6}} => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 6
[4,2,7,5,1,3,6] => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 4
[4,2,7,5,1,6,3] => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 4
[4,2,7,5,3,1,6] => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 4
[4,2,7,5,3,6,1] => {{1,4,5},{2},{3,7},{6}} => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 4
[4,2,7,5,6,1,3] => {{1,4,5,6},{2},{3,7}} => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 3
[4,2,7,5,6,3,1] => {{1,4,5,6},{2},{3,7}} => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 3
[4,2,7,6,1,3,5] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,2,7,6,1,5,3] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,2,7,6,3,1,5] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,2,7,6,3,5,1] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,2,7,6,5,1,3] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,2,7,6,5,3,1] => {{1,4,6},{2},{3,7},{5}} => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 4
[4,3,1,2,5,6,7] => {{1,4},{2,3},{5},{6},{7}} => {{1,3,4},{2},{5},{6},{7}} => {{1,2,3,4},{5},{6,7}} => 7
[4,3,1,2,5,7,6] => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2,7},{5},{6}} => {{1,6},{2,3,4,7},{5}} => 7
[4,3,1,2,6,5,7] => {{1,4},{2,3},{5,6},{7}} => {{1,3,4},{2,6},{5},{7}} => {{1,2,6},{3,4,7},{5}} => 6
[4,3,1,2,6,7,5] => {{1,4},{2,3},{5,6,7}} => {{1,3,4,7},{2,6},{5}} => {{1},{2,6},{3,4,7},{5}} => 4
[4,3,1,2,7,5,6] => {{1,4},{2,3},{5,7},{6}} => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 4
[4,3,1,2,7,6,5] => {{1,4},{2,3},{5,7},{6}} => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 4
[4,3,1,5,2,6,7] => {{1,4,5},{2,3},{6},{7}} => {{1,3,4,5},{2},{6},{7}} => {{1,2,3},{4},{5},{6,7}} => 4
[4,3,1,5,2,7,6] => {{1,4,5},{2,3},{6,7}} => {{1,3,4,5},{2,7},{6}} => {{1,6},{2,3,7},{4},{5}} => 4
[4,3,1,5,6,2,7] => {{1,4,5,6},{2,3},{7}} => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[4,3,1,5,6,7,2] => {{1,4,5,6,7},{2,3}} => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[4,3,1,5,7,2,6] => {{1,4,5,7},{2,3},{6}} => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 2
[4,3,1,5,7,6,2] => {{1,4,5,7},{2,3},{6}} => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 2
[4,3,1,6,2,5,7] => {{1,4,6},{2,3},{5},{7}} => {{1,3,4},{2},{5,6},{7}} => {{1,2,4},{3},{5},{6,7}} => 4
[4,3,1,6,2,7,5] => {{1,4,6,7},{2,3},{5}} => {{1,3,4},{2},{5,6,7}} => {{1,4},{2},{3},{5},{6,7}} => 2
[4,3,1,6,5,2,7] => {{1,4,6},{2,3},{5},{7}} => {{1,3,4},{2},{5,6},{7}} => {{1,2,4},{3},{5},{6,7}} => 4
[4,3,1,6,5,7,2] => {{1,4,6,7},{2,3},{5}} => {{1,3,4},{2},{5,6,7}} => {{1,4},{2},{3},{5},{6,7}} => 2
[4,3,1,6,7,2,5] => {{1,4,6},{2,3},{5,7}} => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => 4
[4,3,1,6,7,5,2] => {{1,4,6},{2,3},{5,7}} => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => 4
[4,3,1,7,2,5,6] => {{1,4,7},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 4
[4,3,1,7,2,6,5] => {{1,4,7},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 4
[4,3,1,7,5,2,6] => {{1,4,7},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 4
[4,3,1,7,5,6,2] => {{1,4,7},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 4
[4,3,1,7,6,2,5] => {{1,4,7},{2,3},{5,6}} => {{1,3,4},{2,6,7},{5}} => {{1,6},{2},{3,4,7},{5}} => 4
[4,3,1,7,6,5,2] => {{1,4,7},{2,3},{5,6}} => {{1,3,4},{2,6,7},{5}} => {{1,6},{2},{3,4,7},{5}} => 4
[4,3,2,1,5,6,7] => {{1,4},{2,3},{5},{6},{7}} => {{1,3,4},{2},{5},{6},{7}} => {{1,2,3,4},{5},{6,7}} => 7
[4,3,2,1,5,7,6] => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2,7},{5},{6}} => {{1,6},{2,3,4,7},{5}} => 7
[4,3,2,1,6,5,7] => {{1,4},{2,3},{5,6},{7}} => {{1,3,4},{2,6},{5},{7}} => {{1,2,6},{3,4,7},{5}} => 6
[4,3,2,1,6,7,5] => {{1,4},{2,3},{5,6,7}} => {{1,3,4,7},{2,6},{5}} => {{1},{2,6},{3,4,7},{5}} => 4
[4,3,2,1,7,5,6] => {{1,4},{2,3},{5,7},{6}} => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 4
[4,3,2,1,7,6,5] => {{1,4},{2,3},{5,7},{6}} => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 4
[4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}} => {{1,3,4,5},{2},{6},{7}} => {{1,2,3},{4},{5},{6,7}} => 4
[4,3,2,5,1,7,6] => {{1,4,5},{2,3},{6,7}} => {{1,3,4,5},{2,7},{6}} => {{1,6},{2,3,7},{4},{5}} => 4
[4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}} => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[4,3,2,5,7,1,6] => {{1,4,5,7},{2,3},{6}} => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 2
[4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 2
[4,3,2,6,1,5,7] => {{1,4,6},{2,3},{5},{7}} => {{1,3,4},{2},{5,6},{7}} => {{1,2,4},{3},{5},{6,7}} => 4
[4,3,2,6,1,7,5] => {{1,4,6,7},{2,3},{5}} => {{1,3,4},{2},{5,6,7}} => {{1,4},{2},{3},{5},{6,7}} => 2
[4,3,2,6,5,1,7] => {{1,4,6},{2,3},{5},{7}} => {{1,3,4},{2},{5,6},{7}} => {{1,2,4},{3},{5},{6,7}} => 4
[4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => {{1,3,4},{2},{5,6,7}} => {{1,4},{2},{3},{5},{6,7}} => 2
[4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => 4
[4,3,2,6,7,5,1] => {{1,4,6},{2,3},{5,7}} => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => 4
[4,3,2,7,1,5,6] => {{1,4,7},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 4
[4,3,2,7,1,6,5] => {{1,4,7},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 4
[4,3,2,7,5,1,6] => {{1,4,7},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 4
[4,3,2,7,5,6,1] => {{1,4,7},{2,3},{5},{6}} => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 4
[4,3,2,7,6,1,5] => {{1,4,7},{2,3},{5,6}} => {{1,3,4},{2,6,7},{5}} => {{1,6},{2},{3,4,7},{5}} => 4
[4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => {{1,3,4},{2,6,7},{5}} => {{1,6},{2},{3,4,7},{5}} => 4
[4,3,5,1,2,6,7] => {{1,4},{2,3,5},{6},{7}} => {{1,3,4},{2,5},{6},{7}} => {{1,2,3,6},{4,7},{5}} => 7
[4,3,5,1,2,7,6] => {{1,4},{2,3,5},{6,7}} => {{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}} => 4
[4,3,5,1,6,2,7] => {{1,4},{2,3,5,6},{7}} => {{1,3,4,6},{2,5},{7}} => {{1,2},{3,6},{4,7},{5}} => 3
[4,3,5,1,6,7,2] => {{1,4},{2,3,5,6,7}} => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 6
[4,3,5,1,7,2,6] => {{1,4},{2,3,5,7},{6}} => {{1,3,4},{2,5,7},{6}} => {{1,6},{2,3},{4,7},{5}} => 3
[4,3,5,1,7,6,2] => {{1,4},{2,3,5,7},{6}} => {{1,3,4},{2,5,7},{6}} => {{1,6},{2,3},{4,7},{5}} => 3
[4,3,5,2,1,6,7] => {{1,4},{2,3,5},{6},{7}} => {{1,3,4},{2,5},{6},{7}} => {{1,2,3,6},{4,7},{5}} => 7
[4,3,5,2,1,7,6] => {{1,4},{2,3,5},{6,7}} => {{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}} => 4
[4,3,5,2,6,1,7] => {{1,4},{2,3,5,6},{7}} => {{1,3,4,6},{2,5},{7}} => {{1,2},{3,6},{4,7},{5}} => 3
[4,3,5,2,6,7,1] => {{1,4},{2,3,5,6,7}} => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 6
[4,3,5,2,7,1,6] => {{1,4},{2,3,5,7},{6}} => {{1,3,4},{2,5,7},{6}} => {{1,6},{2,3},{4,7},{5}} => 3
[4,3,5,2,7,6,1] => {{1,4},{2,3,5,7},{6}} => {{1,3,4},{2,5,7},{6}} => {{1,6},{2,3},{4,7},{5}} => 3
[4,3,5,6,1,2,7] => {{1,4,6},{2,3,5},{7}} => {{1,3,4},{2,5,6},{7}} => {{1,2,6},{3},{4,7},{5}} => 4
[4,3,5,6,1,7,2] => {{1,4,6,7},{2,3,5}} => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 2
[4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => {{1,3,4},{2,5,6},{7}} => {{1,2,6},{3},{4,7},{5}} => 4
[4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 2
[4,3,5,6,7,1,2] => {{1,4,6},{2,3,5,7}} => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 2
[4,3,5,6,7,2,1] => {{1,4,6},{2,3,5,7}} => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 2
[4,3,5,7,1,2,6] => {{1,4,7},{2,3,5},{6}} => {{1,3,4},{2,5},{6,7}} => {{1,3,6},{2},{4,7},{5}} => 4
[4,3,5,7,1,6,2] => {{1,4,7},{2,3,5},{6}} => {{1,3,4},{2,5},{6,7}} => {{1,3,6},{2},{4,7},{5}} => 4
[4,3,5,7,2,1,6] => {{1,4,7},{2,3,5},{6}} => {{1,3,4},{2,5},{6,7}} => {{1,3,6},{2},{4,7},{5}} => 4
[4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => {{1,3,4},{2,5},{6,7}} => {{1,3,6},{2},{4,7},{5}} => 4
[4,3,5,7,6,1,2] => {{1,4,7},{2,3,5,6}} => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 2
[4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 2
[4,3,6,1,2,5,7] => {{1,4},{2,3,6},{5},{7}} => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[4,3,6,1,2,7,5] => {{1,4},{2,3,6,7},{5}} => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 3
[4,3,6,1,5,2,7] => {{1,4},{2,3,6},{5},{7}} => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[4,3,6,1,5,7,2] => {{1,4},{2,3,6,7},{5}} => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 3
[4,3,6,1,7,2,5] => {{1,4},{2,3,6},{5,7}} => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 3
[4,3,6,1,7,5,2] => {{1,4},{2,3,6},{5,7}} => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 3
[4,3,6,2,1,5,7] => {{1,4},{2,3,6},{5},{7}} => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[4,3,6,2,1,7,5] => {{1,4},{2,3,6,7},{5}} => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 3
[4,3,6,2,5,1,7] => {{1,4},{2,3,6},{5},{7}} => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[4,3,6,2,5,7,1] => {{1,4},{2,3,6,7},{5}} => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 3
[4,3,6,2,7,1,5] => {{1,4},{2,3,6},{5,7}} => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 3
[4,3,6,2,7,5,1] => {{1,4},{2,3,6},{5,7}} => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 3
[4,3,6,5,1,2,7] => {{1,4,5},{2,3,6},{7}} => {{1,3,4,5},{2,6},{7}} => {{1,2,6},{3,7},{4},{5}} => 4
[4,3,6,5,1,7,2] => {{1,4,5},{2,3,6,7}} => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 2
[4,3,6,5,2,1,7] => {{1,4,5},{2,3,6},{7}} => {{1,3,4,5},{2,6},{7}} => {{1,2,6},{3,7},{4},{5}} => 4
[4,3,6,5,2,7,1] => {{1,4,5},{2,3,6,7}} => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 2
[4,3,6,5,7,1,2] => {{1,4,5,7},{2,3,6}} => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 2
[4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 2
[4,3,6,7,1,2,5] => {{1,4,7},{2,3,6},{5}} => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[4,3,6,7,1,5,2] => {{1,4,7},{2,3,6},{5}} => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[4,3,6,7,2,1,5] => {{1,4,7},{2,3,6},{5}} => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[4,3,6,7,2,5,1] => {{1,4,7},{2,3,6},{5}} => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[4,3,6,7,5,1,2] => {{1,4,7},{2,3,6},{5}} => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[4,3,7,1,2,5,6] => {{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 3
[4,3,7,1,2,6,5] => {{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 3
[4,3,7,1,5,2,6] => {{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 3
[4,3,7,1,5,6,2] => {{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 3
[4,3,7,1,6,2,5] => {{1,4},{2,3,7},{5,6}} => {{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,7},{5}} => 3
[4,3,7,1,6,5,2] => {{1,4},{2,3,7},{5,6}} => {{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,7},{5}} => 3
[4,3,7,2,1,5,6] => {{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 3
[4,3,7,2,1,6,5] => {{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 3
[4,3,7,2,5,1,6] => {{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 3
[4,3,7,2,5,6,1] => {{1,4},{2,3,7},{5},{6}} => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 3
[4,3,7,2,6,1,5] => {{1,4},{2,3,7},{5,6}} => {{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,7},{5}} => 3
[4,3,7,2,6,5,1] => {{1,4},{2,3,7},{5,6}} => {{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,7},{5}} => 3
[4,3,7,5,1,2,6] => {{1,4,5},{2,3,7},{6}} => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[4,3,7,5,1,6,2] => {{1,4,5},{2,3,7},{6}} => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[4,3,7,5,2,1,6] => {{1,4,5},{2,3,7},{6}} => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[4,3,7,5,2,6,1] => {{1,4,5},{2,3,7},{6}} => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[4,3,7,5,6,1,2] => {{1,4,5,6},{2,3,7}} => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 2
[4,3,7,5,6,2,1] => {{1,4,5,6},{2,3,7}} => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 2
[4,3,7,6,1,2,5] => {{1,4,6},{2,3,7},{5}} => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 2
[4,3,7,6,1,5,2] => {{1,4,6},{2,3,7},{5}} => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 2
[4,3,7,6,2,1,5] => {{1,4,6},{2,3,7},{5}} => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 2
[4,3,7,6,2,5,1] => {{1,4,6},{2,3,7},{5}} => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 2
[4,3,7,6,5,1,2] => {{1,4,6},{2,3,7},{5}} => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 2
[4,3,7,6,5,2,1] => {{1,4,6},{2,3,7},{5}} => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 2
[4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} => {{1,2,3,7},{4,6},{5}} => 7
[4,5,1,2,3,7,6] => {{1,4},{2,5},{3},{6,7}} => {{1,7},{2,5},{3,4},{6}} => {{1},{2,3,7},{4,6},{5}} => 4
[4,5,1,2,6,3,7] => {{1,4},{2,5,6},{3},{7}} => {{1},{2,5},{3,4,6},{7}} => {{1,2,4,7},{3,6},{5}} => 7
[4,5,1,2,6,7,3] => {{1,4},{2,5,6,7},{3}} => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 3
[4,5,1,2,7,3,6] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,1,2,7,6,3] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,1,3,2,6,7] => {{1,4},{2,5},{3},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} => {{1,2,3,7},{4,6},{5}} => 7
[4,5,1,3,2,7,6] => {{1,4},{2,5},{3},{6,7}} => {{1,7},{2,5},{3,4},{6}} => {{1},{2,3,7},{4,6},{5}} => 4
[4,5,1,3,6,2,7] => {{1,4},{2,5,6},{3},{7}} => {{1},{2,5},{3,4,6},{7}} => {{1,2,4,7},{3,6},{5}} => 7
[4,5,1,3,6,7,2] => {{1,4},{2,5,6,7},{3}} => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 3
[4,5,1,3,7,2,6] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,1,3,7,6,2] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,1,6,2,3,7] => {{1,4,6},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7}} => {{1,2,7},{3},{4,6},{5}} => 4
[4,5,1,6,2,7,3] => {{1,4,6,7},{2,5},{3}} => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 2
[4,5,1,6,3,2,7] => {{1,4,6},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7}} => {{1,2,7},{3},{4,6},{5}} => 4
[4,5,1,6,3,7,2] => {{1,4,6,7},{2,5},{3}} => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 2
[4,5,1,6,7,2,3] => {{1,4,6},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 4
[4,5,1,6,7,3,2] => {{1,4,6},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 4
[4,5,1,7,2,3,6] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,1,7,2,6,3] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,1,7,3,2,6] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,1,7,3,6,2] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,1,7,6,2,3] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 4
[4,5,1,7,6,3,2] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 4
[4,5,2,1,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} => {{1,2,3,7},{4,6},{5}} => 7
[4,5,2,1,3,7,6] => {{1,4},{2,5},{3},{6,7}} => {{1,7},{2,5},{3,4},{6}} => {{1},{2,3,7},{4,6},{5}} => 4
[4,5,2,1,6,3,7] => {{1,4},{2,5,6},{3},{7}} => {{1},{2,5},{3,4,6},{7}} => {{1,2,4,7},{3,6},{5}} => 7
[4,5,2,1,6,7,3] => {{1,4},{2,5,6,7},{3}} => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 3
[4,5,2,1,7,3,6] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,2,1,7,6,3] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,2,3,1,6,7] => {{1,4},{2,5},{3},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} => {{1,2,3,7},{4,6},{5}} => 7
[4,5,2,3,1,7,6] => {{1,4},{2,5},{3},{6,7}} => {{1,7},{2,5},{3,4},{6}} => {{1},{2,3,7},{4,6},{5}} => 4
[4,5,2,3,6,1,7] => {{1,4},{2,5,6},{3},{7}} => {{1},{2,5},{3,4,6},{7}} => {{1,2,4,7},{3,6},{5}} => 7
[4,5,2,3,6,7,1] => {{1,4},{2,5,6,7},{3}} => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 3
[4,5,2,3,7,1,6] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,2,3,7,6,1] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,2,6,1,3,7] => {{1,4,6},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7}} => {{1,2,7},{3},{4,6},{5}} => 4
[4,5,2,6,1,7,3] => {{1,4,6,7},{2,5},{3}} => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 2
[4,5,2,6,3,1,7] => {{1,4,6},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7}} => {{1,2,7},{3},{4,6},{5}} => 4
[4,5,2,6,3,7,1] => {{1,4,6,7},{2,5},{3}} => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 2
[4,5,2,6,7,1,3] => {{1,4,6},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 4
[4,5,2,6,7,3,1] => {{1,4,6},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 4
[4,5,2,7,1,3,6] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,2,7,1,6,3] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,2,7,3,1,6] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,2,7,3,6,1] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,2,7,6,1,3] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 4
[4,5,2,7,6,3,1] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 4
[4,5,3,1,2,6,7] => {{1,4},{2,5},{3},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} => {{1,2,3,7},{4,6},{5}} => 7
[4,5,3,1,2,7,6] => {{1,4},{2,5},{3},{6,7}} => {{1,7},{2,5},{3,4},{6}} => {{1},{2,3,7},{4,6},{5}} => 4
[4,5,3,1,6,2,7] => {{1,4},{2,5,6},{3},{7}} => {{1},{2,5},{3,4,6},{7}} => {{1,2,4,7},{3,6},{5}} => 7
[4,5,3,1,6,7,2] => {{1,4},{2,5,6,7},{3}} => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 3
[4,5,3,1,7,2,6] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,3,1,7,6,2] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,3,2,1,6,7] => {{1,4},{2,5},{3},{6},{7}} => {{1},{2,5},{3,4},{6},{7}} => {{1,2,3,7},{4,6},{5}} => 7
[4,5,3,2,1,7,6] => {{1,4},{2,5},{3},{6,7}} => {{1,7},{2,5},{3,4},{6}} => {{1},{2,3,7},{4,6},{5}} => 4
[4,5,3,2,6,1,7] => {{1,4},{2,5,6},{3},{7}} => {{1},{2,5},{3,4,6},{7}} => {{1,2,4,7},{3,6},{5}} => 7
[4,5,3,2,6,7,1] => {{1,4},{2,5,6,7},{3}} => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 3
[4,5,3,2,7,1,6] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,3,2,7,6,1] => {{1,4},{2,5,7},{3},{6}} => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 3
[4,5,3,6,1,2,7] => {{1,4,6},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7}} => {{1,2,7},{3},{4,6},{5}} => 4
[4,5,3,6,1,7,2] => {{1,4,6,7},{2,5},{3}} => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 2
[4,5,3,6,2,1,7] => {{1,4,6},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7}} => {{1,2,7},{3},{4,6},{5}} => 4
[4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 2
[4,5,3,6,7,1,2] => {{1,4,6},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 4
[4,5,3,6,7,2,1] => {{1,4,6},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 4
[4,5,3,7,1,2,6] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,3,7,1,6,2] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,3,7,2,1,6] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 4
[4,5,3,7,6,1,2] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 4
[4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 4
[4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} => {{1,2},{3,7},{4,6},{5}} => 3
[4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,6},{5}} => 3
[4,5,6,1,3,2,7] => {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} => {{1,2},{3,7},{4,6},{5}} => 3
[4,5,6,1,3,7,2] => {{1,4},{2,5},{3,6,7}} => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,6},{5}} => 3
[4,5,6,1,7,2,3] => {{1,4},{2,5,7},{3,6}} => {{1,6},{2,5,7},{3,4}} => {{1,3},{2,7},{4,6},{5}} => 3
[4,5,6,1,7,3,2] => {{1,4},{2,5,7},{3,6}} => {{1,6},{2,5,7},{3,4}} => {{1,3},{2,7},{4,6},{5}} => 3
[4,5,6,2,1,3,7] => {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} => {{1,2},{3,7},{4,6},{5}} => 3
[4,5,6,2,1,7,3] => {{1,4},{2,5},{3,6,7}} => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,6},{5}} => 3
[4,5,6,2,3,1,7] => {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} => {{1,2},{3,7},{4,6},{5}} => 3
[4,5,6,2,3,7,1] => {{1,4},{2,5},{3,6,7}} => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,6},{5}} => 3
[4,5,6,2,7,1,3] => {{1,4},{2,5,7},{3,6}} => {{1,6},{2,5,7},{3,4}} => {{1,3},{2,7},{4,6},{5}} => 3
[4,5,6,2,7,3,1] => {{1,4},{2,5,7},{3,6}} => {{1,6},{2,5,7},{3,4}} => {{1,3},{2,7},{4,6},{5}} => 3
[4,5,6,3,1,2,7] => {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} => {{1,2},{3,7},{4,6},{5}} => 3
[4,5,6,3,1,7,2] => {{1,4},{2,5},{3,6,7}} => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,6},{5}} => 3
[4,5,6,3,2,1,7] => {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}} => {{1,2},{3,7},{4,6},{5}} => 3
[4,5,6,3,2,7,1] => {{1,4},{2,5},{3,6,7}} => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,6},{5}} => 3
[4,5,6,3,7,1,2] => {{1,4},{2,5,7},{3,6}} => {{1,6},{2,5,7},{3,4}} => {{1,3},{2,7},{4,6},{5}} => 3
[4,5,6,3,7,2,1] => {{1,4},{2,5,7},{3,6}} => {{1,6},{2,5,7},{3,4}} => {{1,3},{2,7},{4,6},{5}} => 3
[4,5,6,7,1,2,3] => {{1,4,7},{2,5},{3,6}} => {{1,6,7},{2,5},{3,4}} => {{1},{2},{3,7},{4,6},{5}} => 2
[4,5,6,7,1,3,2] => {{1,4,7},{2,5},{3,6}} => {{1,6,7},{2,5},{3,4}} => {{1},{2},{3,7},{4,6},{5}} => 2
[4,5,6,7,2,1,3] => {{1,4,7},{2,5},{3,6}} => {{1,6,7},{2,5},{3,4}} => {{1},{2},{3,7},{4,6},{5}} => 2
[4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => {{1,6,7},{2,5},{3,4}} => {{1},{2},{3,7},{4,6},{5}} => 2
[4,5,6,7,3,1,2] => {{1,4,7},{2,5},{3,6}} => {{1,6,7},{2,5},{3,4}} => {{1},{2},{3,7},{4,6},{5}} => 2
[4,5,6,7,3,2,1] => {{1,4,7},{2,5},{3,6}} => {{1,6,7},{2,5},{3,4}} => {{1},{2},{3,7},{4,6},{5}} => 2
[4,5,7,1,2,3,6] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,1,2,6,3] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,1,3,2,6] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,1,3,6,2] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,1,6,2,3] => {{1,4},{2,5,6},{3,7}} => {{1,7},{2,5},{3,4,6}} => {{1},{2,4,7},{3,6},{5}} => 4
[4,5,7,1,6,3,2] => {{1,4},{2,5,6},{3,7}} => {{1,7},{2,5},{3,4,6}} => {{1},{2,4,7},{3,6},{5}} => 4
[4,5,7,2,1,3,6] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,2,1,6,3] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,2,3,1,6] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,2,3,6,1] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,2,6,1,3] => {{1,4},{2,5,6},{3,7}} => {{1,7},{2,5},{3,4,6}} => {{1},{2,4,7},{3,6},{5}} => 4
[4,5,7,2,6,3,1] => {{1,4},{2,5,6},{3,7}} => {{1,7},{2,5},{3,4,6}} => {{1},{2,4,7},{3,6},{5}} => 4
[4,5,7,3,1,2,6] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,3,1,6,2] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,3,2,1,6] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,3,2,6,1] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 6
[4,5,7,3,6,1,2] => {{1,4},{2,5,6},{3,7}} => {{1,7},{2,5},{3,4,6}} => {{1},{2,4,7},{3,6},{5}} => 4
[4,5,7,3,6,2,1] => {{1,4},{2,5,6},{3,7}} => {{1,7},{2,5},{3,4,6}} => {{1},{2,4,7},{3,6},{5}} => 4
[4,5,7,6,1,2,3] => {{1,4,6},{2,5},{3,7}} => {{1,7},{2,5,6},{3,4}} => {{1},{2,7},{3},{4,6},{5}} => 2
[4,5,7,6,1,3,2] => {{1,4,6},{2,5},{3,7}} => {{1,7},{2,5,6},{3,4}} => {{1},{2,7},{3},{4,6},{5}} => 2
[4,5,7,6,2,1,3] => {{1,4,6},{2,5},{3,7}} => {{1,7},{2,5,6},{3,4}} => {{1},{2,7},{3},{4,6},{5}} => 2
[4,5,7,6,2,3,1] => {{1,4,6},{2,5},{3,7}} => {{1,7},{2,5,6},{3,4}} => {{1},{2,7},{3},{4,6},{5}} => 2
[4,5,7,6,3,1,2] => {{1,4,6},{2,5},{3,7}} => {{1,7},{2,5,6},{3,4}} => {{1},{2,7},{3},{4,6},{5}} => 2
[4,5,7,6,3,2,1] => {{1,4,6},{2,5},{3,7}} => {{1,7},{2,5,6},{3,4}} => {{1},{2,7},{3},{4,6},{5}} => 2
[4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,1,2,3,7,5] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,1,2,5,3,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,1,2,5,7,3] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,1,2,7,3,5] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,1,2,7,5,3] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,1,3,2,5,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,1,3,2,7,5] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,1,3,5,2,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,1,3,5,7,2] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,1,3,7,2,5] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,1,3,7,5,2] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,1,5,2,3,7] => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7}} => {{1,2,7},{3,6},{4},{5}} => 4
[4,6,1,5,2,7,3] => {{1,4,5},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 4
[4,6,1,5,3,2,7] => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7}} => {{1,2,7},{3,6},{4},{5}} => 4
[4,6,1,5,3,7,2] => {{1,4,5},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 4
[4,6,1,5,7,2,3] => {{1,4,5,7},{2,6},{3}} => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 2
[4,6,1,5,7,3,2] => {{1,4,5,7},{2,6},{3}} => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 2
[4,6,1,7,2,3,5] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,1,7,2,5,3] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,1,7,3,2,5] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,1,7,3,5,2] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,1,7,5,2,3] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,1,7,5,3,2] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,2,1,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,2,1,3,7,5] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,2,1,5,3,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,2,1,5,7,3] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,2,1,7,3,5] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,2,1,7,5,3] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,2,3,1,5,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,2,3,1,7,5] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,2,3,5,1,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,2,3,5,7,1] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,2,3,7,1,5] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,2,3,7,5,1] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,2,5,1,3,7] => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7}} => {{1,2,7},{3,6},{4},{5}} => 4
[4,6,2,5,1,7,3] => {{1,4,5},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 4
[4,6,2,5,3,1,7] => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7}} => {{1,2,7},{3,6},{4},{5}} => 4
[4,6,2,5,3,7,1] => {{1,4,5},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 4
[4,6,2,5,7,1,3] => {{1,4,5,7},{2,6},{3}} => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 2
[4,6,2,5,7,3,1] => {{1,4,5,7},{2,6},{3}} => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 2
[4,6,2,7,1,3,5] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,2,7,1,5,3] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,2,7,3,1,5] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,2,7,3,5,1] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,2,7,5,1,3] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,2,7,5,3,1] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,3,1,2,5,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,3,1,2,7,5] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,3,1,5,2,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,3,1,5,7,2] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,3,1,7,2,5] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,3,1,7,5,2] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,3,2,1,5,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,3,2,1,7,5] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,3,2,5,1,7] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 7
[4,6,3,2,5,7,1] => {{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 7
[4,6,3,2,7,1,5] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,3,2,7,5,1] => {{1,4},{2,6},{3},{5,7}} => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 4
[4,6,3,5,1,2,7] => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7}} => {{1,2,7},{3,6},{4},{5}} => 4
[4,6,3,5,1,7,2] => {{1,4,5},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 4
[4,6,3,5,2,1,7] => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7}} => {{1,2,7},{3,6},{4},{5}} => 4
[4,6,3,5,2,7,1] => {{1,4,5},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 4
[4,6,3,5,7,1,2] => {{1,4,5,7},{2,6},{3}} => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 2
[4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 2
[4,6,3,7,1,2,5] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,3,7,1,5,2] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,3,7,2,1,5] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,3,7,2,5,1] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,3,7,5,1,2] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 4
[4,6,5,1,2,3,7] => {{1,4},{2,6},{3,5},{7}} => {{1,5},{2},{3,4,6},{7}} => {{1,2,4},{3,6,7},{5}} => 6
[4,6,5,1,2,7,3] => {{1,4},{2,6,7},{3,5}} => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 4
[4,6,5,1,3,2,7] => {{1,4},{2,6},{3,5},{7}} => {{1,5},{2},{3,4,6},{7}} => {{1,2,4},{3,6,7},{5}} => 6
[4,6,5,1,3,7,2] => {{1,4},{2,6,7},{3,5}} => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 4
[4,6,5,1,7,2,3] => {{1,4},{2,6},{3,5,7}} => {{1,5},{2,7},{3,4,6}} => {{1,6},{2,4},{3,7},{5}} => 3
[4,6,5,1,7,3,2] => {{1,4},{2,6},{3,5,7}} => {{1,5},{2,7},{3,4,6}} => {{1,6},{2,4},{3,7},{5}} => 3
[4,6,5,2,1,3,7] => {{1,4},{2,6},{3,5},{7}} => {{1,5},{2},{3,4,6},{7}} => {{1,2,4},{3,6,7},{5}} => 6
[4,6,5,2,1,7,3] => {{1,4},{2,6,7},{3,5}} => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 4
[4,6,5,2,3,1,7] => {{1,4},{2,6},{3,5},{7}} => {{1,5},{2},{3,4,6},{7}} => {{1,2,4},{3,6,7},{5}} => 6
[4,6,5,2,3,7,1] => {{1,4},{2,6,7},{3,5}} => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 4
[4,6,5,2,7,1,3] => {{1,4},{2,6},{3,5,7}} => {{1,5},{2,7},{3,4,6}} => {{1,6},{2,4},{3,7},{5}} => 3
[4,6,5,2,7,3,1] => {{1,4},{2,6},{3,5,7}} => {{1,5},{2,7},{3,4,6}} => {{1,6},{2,4},{3,7},{5}} => 3
[4,6,5,3,1,2,7] => {{1,4},{2,6},{3,5},{7}} => {{1,5},{2},{3,4,6},{7}} => {{1,2,4},{3,6,7},{5}} => 6
[4,6,5,3,1,7,2] => {{1,4},{2,6,7},{3,5}} => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 4
[4,6,5,3,2,1,7] => {{1,4},{2,6},{3,5},{7}} => {{1,5},{2},{3,4,6},{7}} => {{1,2,4},{3,6,7},{5}} => 6
[4,6,5,3,2,7,1] => {{1,4},{2,6,7},{3,5}} => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 4
[4,6,5,3,7,1,2] => {{1,4},{2,6},{3,5,7}} => {{1,5},{2,7},{3,4,6}} => {{1,6},{2,4},{3,7},{5}} => 3
[4,6,5,3,7,2,1] => {{1,4},{2,6},{3,5,7}} => {{1,5},{2,7},{3,4,6}} => {{1,6},{2,4},{3,7},{5}} => 3
[4,6,5,7,1,2,3] => {{1,4,7},{2,6},{3,5}} => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 4
[4,6,5,7,1,3,2] => {{1,4,7},{2,6},{3,5}} => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 4
[4,6,5,7,2,1,3] => {{1,4,7},{2,6},{3,5}} => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 4
[4,6,5,7,2,3,1] => {{1,4,7},{2,6},{3,5}} => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 4
[4,6,5,7,3,1,2] => {{1,4,7},{2,6},{3,5}} => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 4
[4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 4
[4,6,7,1,2,3,5] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,1,2,5,3] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,1,3,2,5] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,1,3,5,2] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,1,5,2,3] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,1,5,3,2] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,2,1,3,5] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,2,1,5,3] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,2,3,1,5] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,2,3,5,1] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,2,5,1,3] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,2,5,3,1] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,3,1,2,5] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,3,1,5,2] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,3,2,1,5] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,3,2,5,1] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,3,5,1,2] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,3,5,2,1] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 3
[4,6,7,5,1,2,3] => {{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}} => {{1},{2,7},{3,6},{4},{5}} => 2
[4,6,7,5,1,3,2] => {{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}} => {{1},{2,7},{3,6},{4},{5}} => 2
[4,6,7,5,2,1,3] => {{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}} => {{1},{2,7},{3,6},{4},{5}} => 2
[4,6,7,5,2,3,1] => {{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}} => {{1},{2,7},{3,6},{4},{5}} => 2
[4,6,7,5,3,1,2] => {{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}} => {{1},{2,7},{3,6},{4},{5}} => 2
[4,6,7,5,3,2,1] => {{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}} => {{1},{2,7},{3,6},{4},{5}} => 2
[4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,1,2,3,6,5] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,1,2,5,3,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,1,2,5,6,3] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,1,2,6,3,5] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,1,2,6,5,3] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,1,3,2,5,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,1,3,2,6,5] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,1,3,5,2,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,1,3,5,6,2] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,1,3,6,2,5] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,1,3,6,5,2] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,1,5,2,3,6] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,1,5,2,6,3] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,1,5,3,2,6] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,1,5,3,6,2] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,1,5,6,2,3] => {{1,4,5,6},{2,7},{3}} => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 2
[4,7,1,5,6,3,2] => {{1,4,5,6},{2,7},{3}} => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 2
[4,7,1,6,2,3,5] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,1,6,2,5,3] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,1,6,3,2,5] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,1,6,3,5,2] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,1,6,5,2,3] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,1,6,5,3,2] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,2,1,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,2,1,3,6,5] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,2,1,5,3,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,2,1,5,6,3] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,2,1,6,3,5] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,2,1,6,5,3] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,2,3,1,5,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,2,3,1,6,5] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,2,3,5,1,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,2,3,5,6,1] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,2,3,6,1,5] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,2,3,6,5,1] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,2,5,1,3,6] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,2,5,1,6,3] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,2,5,3,1,6] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,2,5,3,6,1] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,2,5,6,1,3] => {{1,4,5,6},{2,7},{3}} => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 2
[4,7,2,5,6,3,1] => {{1,4,5,6},{2,7},{3}} => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 2
[4,7,2,6,1,3,5] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,2,6,1,5,3] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,2,6,3,1,5] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,2,6,3,5,1] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,2,6,5,1,3] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,2,6,5,3,1] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,3,1,2,5,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,3,1,2,6,5] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,3,1,5,2,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,3,1,5,6,2] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,3,1,6,2,5] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,3,1,6,5,2] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,3,2,1,5,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,3,2,1,6,5] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,3,2,5,1,6] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,3,2,5,6,1] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 7
[4,7,3,2,6,1,5] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,3,2,6,5,1] => {{1,4},{2,7},{3},{5,6}} => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 7
[4,7,3,5,1,2,6] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,3,5,1,6,2] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,3,5,2,1,6] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,3,5,2,6,1] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 4
[4,7,3,5,6,1,2] => {{1,4,5,6},{2,7},{3}} => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 2
[4,7,3,5,6,2,1] => {{1,4,5,6},{2,7},{3}} => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 2
[4,7,3,6,1,2,5] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,3,6,1,5,2] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,3,6,2,1,5] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,3,6,2,5,1] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,3,6,5,1,2] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,3,6,5,2,1] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 4
[4,7,5,1,2,3,6] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,1,2,6,3] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,1,3,2,6] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,1,3,6,2] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,1,6,2,3] => {{1,4},{2,7},{3,5,6}} => {{1,5,7},{2,6},{3,4}} => {{1},{2,4,6},{3,7},{5}} => 4
[4,7,5,1,6,3,2] => {{1,4},{2,7},{3,5,6}} => {{1,5,7},{2,6},{3,4}} => {{1},{2,4,6},{3,7},{5}} => 4
[4,7,5,2,1,3,6] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,2,1,6,3] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,2,3,1,6] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,2,3,6,1] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,2,6,1,3] => {{1,4},{2,7},{3,5,6}} => {{1,5,7},{2,6},{3,4}} => {{1},{2,4,6},{3,7},{5}} => 4
[4,7,5,2,6,3,1] => {{1,4},{2,7},{3,5,6}} => {{1,5,7},{2,6},{3,4}} => {{1},{2,4,6},{3,7},{5}} => 4
[4,7,5,3,1,2,6] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,3,1,6,2] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,3,2,1,6] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,3,2,6,1] => {{1,4},{2,7},{3,5},{6}} => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 4
[4,7,5,3,6,1,2] => {{1,4},{2,7},{3,5,6}} => {{1,5,7},{2,6},{3,4}} => {{1},{2,4,6},{3,7},{5}} => 4
[4,7,5,3,6,2,1] => {{1,4},{2,7},{3,5,6}} => {{1,5,7},{2,6},{3,4}} => {{1},{2,4,6},{3,7},{5}} => 4
[4,7,5,6,1,2,3] => {{1,4,6},{2,7},{3,5}} => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 4
[4,7,5,6,1,3,2] => {{1,4,6},{2,7},{3,5}} => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 4
[4,7,5,6,2,1,3] => {{1,4,6},{2,7},{3,5}} => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 4
[4,7,5,6,2,3,1] => {{1,4,6},{2,7},{3,5}} => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 4
[4,7,5,6,3,1,2] => {{1,4,6},{2,7},{3,5}} => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 4
[4,7,5,6,3,2,1] => {{1,4,6},{2,7},{3,5}} => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 4
[4,7,6,1,2,3,5] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,1,2,5,3] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,1,3,2,5] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,1,3,5,2] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,1,5,2,3] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,1,5,3,2] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,2,1,3,5] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,2,1,5,3] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,2,3,1,5] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,2,3,5,1] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,2,5,1,3] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,2,5,3,1] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,3,1,2,5] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,3,1,5,2] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,3,2,1,5] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,3,2,5,1] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,3,5,1,2] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,3,5,2,1] => {{1,4},{2,7},{3,6},{5}} => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 6
[4,7,6,5,1,2,3] => {{1,4,5},{2,7},{3,6}} => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 4
[4,7,6,5,1,3,2] => {{1,4,5},{2,7},{3,6}} => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 4
[4,7,6,5,2,1,3] => {{1,4,5},{2,7},{3,6}} => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 4
[4,7,6,5,2,3,1] => {{1,4,5},{2,7},{3,6}} => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 4
[4,7,6,5,3,1,2] => {{1,4,5},{2,7},{3,6}} => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 4
[4,7,6,5,3,2,1] => {{1,4,5},{2,7},{3,6}} => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 4
[5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}} => 15
[5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}} => 10
[5,1,2,3,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 10
[5,1,2,3,6,7,4] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 6
[5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,1,2,3,7,6,4] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,1,2,4,3,6,7] => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}} => 15
[5,1,2,4,3,7,6] => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}} => 10
[5,1,2,4,6,3,7] => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 10
[5,1,2,4,6,7,3] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 6
[5,1,2,4,7,3,6] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,1,2,4,7,6,3] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}} => 7
[5,1,2,6,3,7,4] => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}} => 7
[5,1,2,6,4,3,7] => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}} => 7
[5,1,2,6,4,7,3] => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}} => 7
[5,1,2,6,7,3,4] => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 6
[5,1,2,6,7,4,3] => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 6
[5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,1,2,7,3,6,4] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,1,2,7,4,3,6] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,1,2,7,4,6,3] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,1,2,7,6,3,4] => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 6
[5,1,2,7,6,4,3] => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 6
[5,1,3,2,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}} => 15
[5,1,3,2,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}} => 10
[5,1,3,2,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 10
[5,1,3,2,6,7,4] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 6
[5,1,3,2,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,1,3,2,7,6,4] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,1,3,4,2,6,7] => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}} => 15
[5,1,3,4,2,7,6] => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}} => 10
[5,1,3,4,6,2,7] => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 10
[5,1,3,4,6,7,2] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 6
[5,1,3,4,7,2,6] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,1,3,4,7,6,2] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,1,3,6,2,4,7] => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}} => 7
[5,1,3,6,2,7,4] => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}} => 7
[5,1,3,6,4,2,7] => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}} => 7
[5,1,3,6,4,7,2] => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}} => 7
[5,1,3,6,7,2,4] => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 6
[5,1,3,6,7,4,2] => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 6
[5,1,3,7,2,4,6] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,1,3,7,2,6,4] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,1,3,7,4,2,6] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,1,3,7,4,6,2] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,1,3,7,6,2,4] => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 6
[5,1,3,7,6,4,2] => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 6
[5,1,4,2,3,6,7] => {{1,5},{2},{3,4},{6},{7}} => {{1,4,5},{2},{3},{6},{7}} => {{1,2,3},{4},{5,6,7}} => 6
[5,1,4,2,3,7,6] => {{1,5},{2},{3,4},{6,7}} => {{1,4,5},{2,7},{3},{6}} => {{1,5,6},{2,3,7},{4}} => 6
[5,1,4,2,6,3,7] => {{1,5,6},{2},{3,4},{7}} => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 4
[5,1,4,2,6,7,3] => {{1,5,6,7},{2},{3,4}} => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 3
[5,1,4,2,7,3,6] => {{1,5,7},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 4
[5,1,4,2,7,6,3] => {{1,5,7},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 4
[5,1,4,3,2,6,7] => {{1,5},{2},{3,4},{6},{7}} => {{1,4,5},{2},{3},{6},{7}} => {{1,2,3},{4},{5,6,7}} => 6
[5,1,4,3,2,7,6] => {{1,5},{2},{3,4},{6,7}} => {{1,4,5},{2,7},{3},{6}} => {{1,5,6},{2,3,7},{4}} => 6
[5,1,4,3,6,2,7] => {{1,5,6},{2},{3,4},{7}} => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 4
[5,1,4,3,6,7,2] => {{1,5,6,7},{2},{3,4}} => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 3
[5,1,4,3,7,2,6] => {{1,5,7},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 4
[5,1,4,3,7,6,2] => {{1,5,7},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 4
[5,1,4,6,2,3,7] => {{1,5},{2},{3,4,6},{7}} => {{1,4,5},{2,6},{3},{7}} => {{1,2,5,6},{3,7},{4}} => 7
[5,1,4,6,2,7,3] => {{1,5},{2},{3,4,6,7}} => {{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,7},{4}} => 3
[5,1,4,6,3,2,7] => {{1,5},{2},{3,4,6},{7}} => {{1,4,5},{2,6},{3},{7}} => {{1,2,5,6},{3,7},{4}} => 7
[5,1,4,6,3,7,2] => {{1,5},{2},{3,4,6,7}} => {{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,7},{4}} => 3
[5,1,4,6,7,2,3] => {{1,5,7},{2},{3,4,6}} => {{1,4,5},{2,6,7},{3}} => {{1,5,6},{2},{3,7},{4}} => 4
[5,1,4,6,7,3,2] => {{1,5,7},{2},{3,4,6}} => {{1,4,5},{2,6,7},{3}} => {{1,5,6},{2},{3,7},{4}} => 4
[5,1,4,7,2,3,6] => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 7
[5,1,4,7,2,6,3] => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 7
[5,1,4,7,3,2,6] => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 7
[5,1,4,7,3,6,2] => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 7
[5,1,4,7,6,2,3] => {{1,5,6},{2},{3,4,7}} => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 4
[5,1,4,7,6,3,2] => {{1,5,6},{2},{3,4,7}} => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 4
[5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,1,6,2,3,7,4] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,1,6,2,4,3,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,1,6,2,4,7,3] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,1,6,2,7,3,4] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,1,6,2,7,4,3] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,1,6,3,2,4,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,1,6,3,2,7,4] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,1,6,3,4,2,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,1,6,3,4,7,2] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,1,6,3,7,2,4] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,1,6,3,7,4,2] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,1,6,4,2,3,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,1,6,4,2,7,3] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,1,6,4,3,2,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,1,6,4,3,7,2] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,1,6,4,7,2,3] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,1,6,4,7,3,2] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,1,6,7,2,3,4] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,1,6,7,2,4,3] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,1,6,7,3,2,4] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,1,6,7,3,4,2] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,1,6,7,4,2,3] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,1,6,7,4,3,2] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,2,3,6,4] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,2,4,3,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,2,4,6,3] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,2,6,3,4] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,1,7,2,6,4,3] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,1,7,3,2,4,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,3,2,6,4] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,3,4,2,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,3,4,6,2] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,3,6,2,4] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,1,7,3,6,4,2] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,1,7,4,2,3,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,4,2,6,3] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,4,3,2,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,4,3,6,2] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,1,7,4,6,2,3] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,1,7,4,6,3,2] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,1,7,6,2,3,4] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,1,7,6,2,4,3] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,1,7,6,3,2,4] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,1,7,6,3,4,2] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,1,7,6,4,2,3] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,1,7,6,4,3,2] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,2,1,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}} => 15
[5,2,1,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}} => 10
[5,2,1,3,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 10
[5,2,1,3,6,7,4] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 6
[5,2,1,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,2,1,3,7,6,4] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,2,1,4,3,6,7] => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}} => 15
[5,2,1,4,3,7,6] => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}} => 10
[5,2,1,4,6,3,7] => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 10
[5,2,1,4,6,7,3] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 6
[5,2,1,4,7,3,6] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,2,1,4,7,6,3] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,2,1,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}} => 7
[5,2,1,6,3,7,4] => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}} => 7
[5,2,1,6,4,3,7] => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}} => 7
[5,2,1,6,4,7,3] => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}} => 7
[5,2,1,6,7,3,4] => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 6
[5,2,1,6,7,4,3] => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 6
[5,2,1,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,2,1,7,3,6,4] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,2,1,7,4,3,6] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,2,1,7,4,6,3] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,2,1,7,6,3,4] => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 6
[5,2,1,7,6,4,3] => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 6
[5,2,3,1,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}} => 15
[5,2,3,1,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}} => 10
[5,2,3,1,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 10
[5,2,3,1,6,7,4] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 6
[5,2,3,1,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,2,3,1,7,6,4] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,2,3,4,1,6,7] => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}} => 15
[5,2,3,4,1,7,6] => {{1,5},{2},{3},{4},{6,7}} => {{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}} => 10
[5,2,3,4,6,1,7] => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 10
[5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 6
[5,2,3,4,7,1,6] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,2,3,4,7,6,1] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 10
[5,2,3,6,1,4,7] => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}} => 7
[5,2,3,6,1,7,4] => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}} => 7
[5,2,3,6,4,1,7] => {{1,5},{2},{3},{4,6},{7}} => {{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}} => 7
[5,2,3,6,4,7,1] => {{1,5},{2},{3},{4,6,7}} => {{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}} => 7
[5,2,3,6,7,1,4] => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 6
[5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 6
[5,2,3,7,1,4,6] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,2,3,7,1,6,4] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,2,3,7,4,1,6] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,2,3,7,4,6,1] => {{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 7
[5,2,3,7,6,1,4] => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 6
[5,2,3,7,6,4,1] => {{1,5,6},{2},{3},{4,7}} => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 6
[5,2,4,1,3,6,7] => {{1,5},{2},{3,4},{6},{7}} => {{1,4,5},{2},{3},{6},{7}} => {{1,2,3},{4},{5,6,7}} => 6
[5,2,4,1,3,7,6] => {{1,5},{2},{3,4},{6,7}} => {{1,4,5},{2,7},{3},{6}} => {{1,5,6},{2,3,7},{4}} => 6
[5,2,4,1,6,3,7] => {{1,5,6},{2},{3,4},{7}} => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 4
[5,2,4,1,6,7,3] => {{1,5,6,7},{2},{3,4}} => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 3
[5,2,4,1,7,3,6] => {{1,5,7},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 4
[5,2,4,1,7,6,3] => {{1,5,7},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 4
[5,2,4,3,1,6,7] => {{1,5},{2},{3,4},{6},{7}} => {{1,4,5},{2},{3},{6},{7}} => {{1,2,3},{4},{5,6,7}} => 6
[5,2,4,3,1,7,6] => {{1,5},{2},{3,4},{6,7}} => {{1,4,5},{2,7},{3},{6}} => {{1,5,6},{2,3,7},{4}} => 6
[5,2,4,3,6,1,7] => {{1,5,6},{2},{3,4},{7}} => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 4
[5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 3
[5,2,4,3,7,1,6] => {{1,5,7},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 4
[5,2,4,3,7,6,1] => {{1,5,7},{2},{3,4},{6}} => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 4
[5,2,4,6,1,3,7] => {{1,5},{2},{3,4,6},{7}} => {{1,4,5},{2,6},{3},{7}} => {{1,2,5,6},{3,7},{4}} => 7
[5,2,4,6,1,7,3] => {{1,5},{2},{3,4,6,7}} => {{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,7},{4}} => 3
[5,2,4,6,3,1,7] => {{1,5},{2},{3,4,6},{7}} => {{1,4,5},{2,6},{3},{7}} => {{1,2,5,6},{3,7},{4}} => 7
[5,2,4,6,3,7,1] => {{1,5},{2},{3,4,6,7}} => {{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,7},{4}} => 3
[5,2,4,6,7,1,3] => {{1,5,7},{2},{3,4,6}} => {{1,4,5},{2,6,7},{3}} => {{1,5,6},{2},{3,7},{4}} => 4
[5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => {{1,4,5},{2,6,7},{3}} => {{1,5,6},{2},{3,7},{4}} => 4
[5,2,4,7,1,3,6] => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 7
[5,2,4,7,1,6,3] => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 7
[5,2,4,7,3,1,6] => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 7
[5,2,4,7,3,6,1] => {{1,5},{2},{3,4,7},{6}} => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 7
[5,2,4,7,6,1,3] => {{1,5,6},{2},{3,4,7}} => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 4
[5,2,4,7,6,3,1] => {{1,5,6},{2},{3,4,7}} => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 4
[5,2,6,1,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,2,6,1,3,7,4] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,2,6,1,4,3,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,2,6,1,4,7,3] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,2,6,1,7,3,4] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,2,6,1,7,4,3] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,2,6,3,1,4,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,2,6,3,1,7,4] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,2,6,3,4,1,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,2,6,3,4,7,1] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,2,6,3,7,1,4] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,2,6,3,7,4,1] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,2,6,4,1,3,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,2,6,4,1,7,3] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,2,6,4,3,1,7] => {{1,5},{2},{3,6},{4},{7}} => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 6
[5,2,6,4,3,7,1] => {{1,5},{2},{3,6,7},{4}} => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 7
[5,2,6,4,7,1,3] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 4
[5,2,6,7,1,3,4] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,2,6,7,1,4,3] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,2,6,7,3,1,4] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,2,6,7,3,4,1] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,2,6,7,4,1,3] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,2,6,7,4,3,1] => {{1,5},{2},{3,6},{4,7}} => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 4
[5,2,7,1,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,1,3,6,4] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,1,4,3,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,1,4,6,3] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,1,6,3,4] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,2,7,1,6,4,3] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,2,7,3,1,4,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,3,1,6,4] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,3,4,1,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,3,4,6,1] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,3,6,1,4] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,2,7,3,6,4,1] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,2,7,4,1,3,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,4,1,6,3] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,4,3,1,6] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,4,3,6,1] => {{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 6
[5,2,7,4,6,1,3] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,2,7,4,6,3,1] => {{1,5,6},{2},{3,7},{4}} => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 4
[5,2,7,6,1,3,4] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,2,7,6,1,4,3] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,2,7,6,3,1,4] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,2,7,6,3,4,1] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,2,7,6,4,1,3] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,2,7,6,4,3,1] => {{1,5},{2},{3,7},{4,6}} => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 6
[5,3,1,2,4,6,7] => {{1,5},{2,3},{4},{6},{7}} => {{1,3},{2},{4,5},{6},{7}} => {{1,2,3,5},{4},{6,7}} => 7
[5,3,1,2,4,7,6] => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2,7},{4,5},{6}} => {{1,6},{2,3,5,7},{4}} => 7
[5,3,1,2,6,4,7] => {{1,5,6},{2,3},{4},{7}} => {{1,3},{2},{4,5,6},{7}} => {{1,2,5},{3},{4},{6,7}} => 4
[5,3,1,2,6,7,4] => {{1,5,6,7},{2,3},{4}} => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 2
[5,3,1,2,7,4,6] => {{1,5,7},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 4
[5,3,1,2,7,6,4] => {{1,5,7},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 4
[5,3,1,4,2,6,7] => {{1,5},{2,3},{4},{6},{7}} => {{1,3},{2},{4,5},{6},{7}} => {{1,2,3,5},{4},{6,7}} => 7
[5,3,1,4,2,7,6] => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2,7},{4,5},{6}} => {{1,6},{2,3,5,7},{4}} => 7
[5,3,1,4,6,2,7] => {{1,5,6},{2,3},{4},{7}} => {{1,3},{2},{4,5,6},{7}} => {{1,2,5},{3},{4},{6,7}} => 4
[5,3,1,4,6,7,2] => {{1,5,6,7},{2,3},{4}} => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 2
[5,3,1,4,7,2,6] => {{1,5,7},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 4
[5,3,1,4,7,6,2] => {{1,5,7},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 4
[5,3,1,6,2,4,7] => {{1,5},{2,3},{4,6},{7}} => {{1,3},{2,6},{4,5},{7}} => {{1,2,6},{3,5,7},{4}} => 6
[5,3,1,6,2,7,4] => {{1,5},{2,3},{4,6,7}} => {{1,3,7},{2,6},{4,5}} => {{1},{2,6},{3,5,7},{4}} => 4
[5,3,1,6,4,2,7] => {{1,5},{2,3},{4,6},{7}} => {{1,3},{2,6},{4,5},{7}} => {{1,2,6},{3,5,7},{4}} => 6
[5,3,1,6,4,7,2] => {{1,5},{2,3},{4,6,7}} => {{1,3,7},{2,6},{4,5}} => {{1},{2,6},{3,5,7},{4}} => 4
[5,3,1,6,7,2,4] => {{1,5,7},{2,3},{4,6}} => {{1,3},{2,6,7},{4,5}} => {{1,6},{2},{3,5,7},{4}} => 4
[5,3,1,6,7,4,2] => {{1,5,7},{2,3},{4,6}} => {{1,3},{2,6,7},{4,5}} => {{1,6},{2},{3,5,7},{4}} => 4
[5,3,1,7,2,4,6] => {{1,5},{2,3},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 4
[5,3,1,7,2,6,4] => {{1,5},{2,3},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 4
[5,3,1,7,4,2,6] => {{1,5},{2,3},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 4
[5,3,1,7,4,6,2] => {{1,5},{2,3},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 4
[5,3,1,7,6,2,4] => {{1,5,6},{2,3},{4,7}} => {{1,3},{2,7},{4,5,6}} => {{1,6},{2,5,7},{3},{4}} => 4
[5,3,1,7,6,4,2] => {{1,5,6},{2,3},{4,7}} => {{1,3},{2,7},{4,5,6}} => {{1,6},{2,5,7},{3},{4}} => 4
[5,3,2,1,4,6,7] => {{1,5},{2,3},{4},{6},{7}} => {{1,3},{2},{4,5},{6},{7}} => {{1,2,3,5},{4},{6,7}} => 7
[5,3,2,1,4,7,6] => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2,7},{4,5},{6}} => {{1,6},{2,3,5,7},{4}} => 7
[5,3,2,1,6,4,7] => {{1,5,6},{2,3},{4},{7}} => {{1,3},{2},{4,5,6},{7}} => {{1,2,5},{3},{4},{6,7}} => 4
[5,3,2,1,6,7,4] => {{1,5,6,7},{2,3},{4}} => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 2
[5,3,2,1,7,4,6] => {{1,5,7},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 4
[5,3,2,1,7,6,4] => {{1,5,7},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 4
[5,3,2,4,1,6,7] => {{1,5},{2,3},{4},{6},{7}} => {{1,3},{2},{4,5},{6},{7}} => {{1,2,3,5},{4},{6,7}} => 7
[5,3,2,4,1,7,6] => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2,7},{4,5},{6}} => {{1,6},{2,3,5,7},{4}} => 7
[5,3,2,4,6,1,7] => {{1,5,6},{2,3},{4},{7}} => {{1,3},{2},{4,5,6},{7}} => {{1,2,5},{3},{4},{6,7}} => 4
[5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 2
[5,3,2,4,7,1,6] => {{1,5,7},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 4
[5,3,2,4,7,6,1] => {{1,5,7},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 4
[5,3,2,6,1,4,7] => {{1,5},{2,3},{4,6},{7}} => {{1,3},{2,6},{4,5},{7}} => {{1,2,6},{3,5,7},{4}} => 6
[5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => {{1,3,7},{2,6},{4,5}} => {{1},{2,6},{3,5,7},{4}} => 4
[5,3,2,6,4,1,7] => {{1,5},{2,3},{4,6},{7}} => {{1,3},{2,6},{4,5},{7}} => {{1,2,6},{3,5,7},{4}} => 6
[5,3,2,6,4,7,1] => {{1,5},{2,3},{4,6,7}} => {{1,3,7},{2,6},{4,5}} => {{1},{2,6},{3,5,7},{4}} => 4
[5,3,2,6,7,1,4] => {{1,5,7},{2,3},{4,6}} => {{1,3},{2,6,7},{4,5}} => {{1,6},{2},{3,5,7},{4}} => 4
[5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => {{1,3},{2,6,7},{4,5}} => {{1,6},{2},{3,5,7},{4}} => 4
[5,3,2,7,1,4,6] => {{1,5},{2,3},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 4
[5,3,2,7,1,6,4] => {{1,5},{2,3},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 4
[5,3,2,7,4,1,6] => {{1,5},{2,3},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 4
[5,3,2,7,4,6,1] => {{1,5},{2,3},{4,7},{6}} => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 4
[5,3,2,7,6,1,4] => {{1,5,6},{2,3},{4,7}} => {{1,3},{2,7},{4,5,6}} => {{1,6},{2,5,7},{3},{4}} => 4
[5,3,2,7,6,4,1] => {{1,5,6},{2,3},{4,7}} => {{1,3},{2,7},{4,5,6}} => {{1,6},{2,5,7},{3},{4}} => 4
[5,3,4,1,2,6,7] => {{1,5},{2,3,4},{6},{7}} => {{1,3},{2,4,5},{6},{7}} => {{1,2,3,6},{4},{5,7}} => 7
[5,3,4,1,2,7,6] => {{1,5},{2,3,4},{6,7}} => {{1,3,7},{2,4,5},{6}} => {{1},{2,3,6},{4},{5,7}} => 4
[5,3,4,1,6,2,7] => {{1,5,6},{2,3,4},{7}} => {{1,3},{2,4,5,6},{7}} => {{1,2,6},{3},{4},{5,7}} => 4
[5,3,4,1,6,7,2] => {{1,5,6,7},{2,3,4}} => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 2
[5,3,4,1,7,2,6] => {{1,5,7},{2,3,4},{6}} => {{1,3},{2,4,5},{6,7}} => {{1,3,6},{2},{4},{5,7}} => 4
[5,3,4,1,7,6,2] => {{1,5,7},{2,3,4},{6}} => {{1,3},{2,4,5},{6,7}} => {{1,3,6},{2},{4},{5,7}} => 4
[5,3,4,2,1,6,7] => {{1,5},{2,3,4},{6},{7}} => {{1,3},{2,4,5},{6},{7}} => {{1,2,3,6},{4},{5,7}} => 7
[5,3,4,2,1,7,6] => {{1,5},{2,3,4},{6,7}} => {{1,3,7},{2,4,5},{6}} => {{1},{2,3,6},{4},{5,7}} => 4
[5,3,4,2,6,1,7] => {{1,5,6},{2,3,4},{7}} => {{1,3},{2,4,5,6},{7}} => {{1,2,6},{3},{4},{5,7}} => 4
[5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 2
[5,3,4,2,7,1,6] => {{1,5,7},{2,3,4},{6}} => {{1,3},{2,4,5},{6,7}} => {{1,3,6},{2},{4},{5,7}} => 4
[5,3,4,2,7,6,1] => {{1,5,7},{2,3,4},{6}} => {{1,3},{2,4,5},{6,7}} => {{1,3,6},{2},{4},{5,7}} => 4
[5,3,4,6,1,2,7] => {{1,5},{2,3,4,6},{7}} => {{1,3,6},{2,4,5},{7}} => {{1,2},{3,6},{4},{5,7}} => 3
[5,3,4,6,1,7,2] => {{1,5},{2,3,4,6,7}} => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 6
[5,3,4,6,2,1,7] => {{1,5},{2,3,4,6},{7}} => {{1,3,6},{2,4,5},{7}} => {{1,2},{3,6},{4},{5,7}} => 3
[5,3,4,6,2,7,1] => {{1,5},{2,3,4,6,7}} => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 6
[5,3,4,6,7,1,2] => {{1,5,7},{2,3,4,6}} => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 2
[5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 2
[5,3,4,7,1,2,6] => {{1,5},{2,3,4,7},{6}} => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 3
[5,3,4,7,1,6,2] => {{1,5},{2,3,4,7},{6}} => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 3
[5,3,4,7,2,1,6] => {{1,5},{2,3,4,7},{6}} => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 3
[5,3,4,7,2,6,1] => {{1,5},{2,3,4,7},{6}} => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 3
[5,3,4,7,6,1,2] => {{1,5,6},{2,3,4,7}} => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 2
[5,3,4,7,6,2,1] => {{1,5,6},{2,3,4,7}} => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 2
[5,3,6,1,2,4,7] => {{1,5},{2,3,6},{4},{7}} => {{1,3,6},{2},{4,5},{7}} => {{1,2},{3,5},{4},{6,7}} => 3
[5,3,6,1,2,7,4] => {{1,5},{2,3,6,7},{4}} => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 3
[5,3,6,1,4,2,7] => {{1,5},{2,3,6},{4},{7}} => {{1,3,6},{2},{4,5},{7}} => {{1,2},{3,5},{4},{6,7}} => 3
[5,3,6,1,4,7,2] => {{1,5},{2,3,6,7},{4}} => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 3
[5,3,6,1,7,2,4] => {{1,5,7},{2,3,6},{4}} => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 2
[5,3,6,1,7,4,2] => {{1,5,7},{2,3,6},{4}} => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 2
[5,3,6,2,1,4,7] => {{1,5},{2,3,6},{4},{7}} => {{1,3,6},{2},{4,5},{7}} => {{1,2},{3,5},{4},{6,7}} => 3
[5,3,6,2,1,7,4] => {{1,5},{2,3,6,7},{4}} => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 3
[5,3,6,2,4,1,7] => {{1,5},{2,3,6},{4},{7}} => {{1,3,6},{2},{4,5},{7}} => {{1,2},{3,5},{4},{6,7}} => 3
[5,3,6,2,4,7,1] => {{1,5},{2,3,6,7},{4}} => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 3
[5,3,6,2,7,1,4] => {{1,5,7},{2,3,6},{4}} => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 2
[5,3,6,2,7,4,1] => {{1,5,7},{2,3,6},{4}} => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 2
[5,3,6,4,1,2,7] => {{1,5},{2,3,6},{4},{7}} => {{1,3,6},{2},{4,5},{7}} => {{1,2},{3,5},{4},{6,7}} => 3
[5,3,6,4,1,7,2] => {{1,5},{2,3,6,7},{4}} => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 3
[5,3,6,4,2,1,7] => {{1,5},{2,3,6},{4},{7}} => {{1,3,6},{2},{4,5},{7}} => {{1,2},{3,5},{4},{6,7}} => 3
[5,3,6,4,2,7,1] => {{1,5},{2,3,6,7},{4}} => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 3
[5,3,6,4,7,1,2] => {{1,5,7},{2,3,6},{4}} => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 2
[5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 2
[5,3,6,7,1,2,4] => {{1,5},{2,3,6},{4,7}} => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3,5},{4}} => 3
[5,3,6,7,1,4,2] => {{1,5},{2,3,6},{4,7}} => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3,5},{4}} => 3
[5,3,6,7,2,1,4] => {{1,5},{2,3,6},{4,7}} => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3,5},{4}} => 3
[5,3,6,7,2,4,1] => {{1,5},{2,3,6},{4,7}} => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3,5},{4}} => 3
[5,3,6,7,4,1,2] => {{1,5},{2,3,6},{4,7}} => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3,5},{4}} => 3
[5,3,6,7,4,2,1] => {{1,5},{2,3,6},{4,7}} => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3,5},{4}} => 3
[5,3,7,1,2,4,6] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,1,2,6,4] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,1,4,2,6] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,1,4,6,2] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,1,6,2,4] => {{1,5,6},{2,3,7},{4}} => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 2
[5,3,7,1,6,4,2] => {{1,5,6},{2,3,7},{4}} => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 2
[5,3,7,2,1,4,6] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,2,1,6,4] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,2,4,1,6] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,2,4,6,1] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,2,6,1,4] => {{1,5,6},{2,3,7},{4}} => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 2
[5,3,7,2,6,4,1] => {{1,5,6},{2,3,7},{4}} => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 2
[5,3,7,4,1,2,6] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,4,1,6,2] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,4,2,1,6] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,4,2,6,1] => {{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 3
[5,3,7,4,6,1,2] => {{1,5,6},{2,3,7},{4}} => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 2
[5,3,7,4,6,2,1] => {{1,5,6},{2,3,7},{4}} => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 2
[5,3,7,6,1,2,4] => {{1,5},{2,3,7},{4,6}} => {{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4},{5,7}} => 3
[5,3,7,6,1,4,2] => {{1,5},{2,3,7},{4,6}} => {{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4},{5,7}} => 3
[5,3,7,6,2,1,4] => {{1,5},{2,3,7},{4,6}} => {{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4},{5,7}} => 3
[5,3,7,6,2,4,1] => {{1,5},{2,3,7},{4,6}} => {{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4},{5,7}} => 3
[5,3,7,6,4,1,2] => {{1,5},{2,3,7},{4,6}} => {{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4},{5,7}} => 3
[5,3,7,6,4,2,1] => {{1,5},{2,3,7},{4,6}} => {{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4},{5,7}} => 3
[5,4,1,2,3,6,7] => {{1,5},{2,4},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} => {{1,2,3,7},{4},{5,6}} => 7
[5,4,1,2,3,7,6] => {{1,5},{2,4},{3},{6,7}} => {{1,7},{2,4,5},{3},{6}} => {{1},{2,3,7},{4},{5,6}} => 4
[5,4,1,2,6,3,7] => {{1,5,6},{2,4},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 4
[5,4,1,2,6,7,3] => {{1,5,6,7},{2,4},{3}} => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,4,1,2,7,3,6] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,1,2,7,6,3] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,1,3,2,6,7] => {{1,5},{2,4},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} => {{1,2,3,7},{4},{5,6}} => 7
[5,4,1,3,2,7,6] => {{1,5},{2,4},{3},{6,7}} => {{1,7},{2,4,5},{3},{6}} => {{1},{2,3,7},{4},{5,6}} => 4
[5,4,1,3,6,2,7] => {{1,5,6},{2,4},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 4
[5,4,1,3,6,7,2] => {{1,5,6,7},{2,4},{3}} => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,4,1,3,7,2,6] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,1,3,7,6,2] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,1,6,2,3,7] => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,5},{3,6},{7}} => {{1,2,5,7},{3,6},{4}} => 7
[5,4,1,6,2,7,3] => {{1,5},{2,4,6,7},{3}} => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 3
[5,4,1,6,3,2,7] => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,5},{3,6},{7}} => {{1,2,5,7},{3,6},{4}} => 7
[5,4,1,6,3,7,2] => {{1,5},{2,4,6,7},{3}} => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 3
[5,4,1,6,7,2,3] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 4
[5,4,1,6,7,3,2] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 4
[5,4,1,7,2,3,6] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,1,7,2,6,3] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,1,7,3,2,6] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,1,7,3,6,2] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,1,7,6,2,3] => {{1,5,6},{2,4,7},{3}} => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 4
[5,4,1,7,6,3,2] => {{1,5,6},{2,4,7},{3}} => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 4
[5,4,2,1,3,6,7] => {{1,5},{2,4},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} => {{1,2,3,7},{4},{5,6}} => 7
[5,4,2,1,3,7,6] => {{1,5},{2,4},{3},{6,7}} => {{1,7},{2,4,5},{3},{6}} => {{1},{2,3,7},{4},{5,6}} => 4
[5,4,2,1,6,3,7] => {{1,5,6},{2,4},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 4
[5,4,2,1,6,7,3] => {{1,5,6,7},{2,4},{3}} => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,4,2,1,7,3,6] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,2,1,7,6,3] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,2,3,1,6,7] => {{1,5},{2,4},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} => {{1,2,3,7},{4},{5,6}} => 7
[5,4,2,3,1,7,6] => {{1,5},{2,4},{3},{6,7}} => {{1,7},{2,4,5},{3},{6}} => {{1},{2,3,7},{4},{5,6}} => 4
[5,4,2,3,6,1,7] => {{1,5,6},{2,4},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 4
[5,4,2,3,6,7,1] => {{1,5,6,7},{2,4},{3}} => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,4,2,3,7,1,6] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,2,3,7,6,1] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,2,6,1,3,7] => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,5},{3,6},{7}} => {{1,2,5,7},{3,6},{4}} => 7
[5,4,2,6,1,7,3] => {{1,5},{2,4,6,7},{3}} => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 3
[5,4,2,6,3,1,7] => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,5},{3,6},{7}} => {{1,2,5,7},{3,6},{4}} => 7
[5,4,2,6,3,7,1] => {{1,5},{2,4,6,7},{3}} => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 3
[5,4,2,6,7,1,3] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 4
[5,4,2,6,7,3,1] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 4
[5,4,2,7,1,3,6] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,2,7,1,6,3] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,2,7,3,1,6] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,2,7,3,6,1] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,2,7,6,1,3] => {{1,5,6},{2,4,7},{3}} => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 4
[5,4,2,7,6,3,1] => {{1,5,6},{2,4,7},{3}} => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 4
[5,4,3,1,2,6,7] => {{1,5},{2,4},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} => {{1,2,3,7},{4},{5,6}} => 7
[5,4,3,1,2,7,6] => {{1,5},{2,4},{3},{6,7}} => {{1,7},{2,4,5},{3},{6}} => {{1},{2,3,7},{4},{5,6}} => 4
[5,4,3,1,6,2,7] => {{1,5,6},{2,4},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 4
[5,4,3,1,6,7,2] => {{1,5,6,7},{2,4},{3}} => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,4,3,1,7,2,6] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,3,1,7,6,2] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,3,2,1,6,7] => {{1,5},{2,4},{3},{6},{7}} => {{1},{2,4,5},{3},{6},{7}} => {{1,2,3,7},{4},{5,6}} => 7
[5,4,3,2,1,7,6] => {{1,5},{2,4},{3},{6,7}} => {{1,7},{2,4,5},{3},{6}} => {{1},{2,3,7},{4},{5,6}} => 4
[5,4,3,2,6,1,7] => {{1,5,6},{2,4},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 4
[5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,4,3,2,7,1,6] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,3,2,7,6,1] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 4
[5,4,3,6,1,2,7] => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,5},{3,6},{7}} => {{1,2,5,7},{3,6},{4}} => 7
[5,4,3,6,1,7,2] => {{1,5},{2,4,6,7},{3}} => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 3
[5,4,3,6,2,1,7] => {{1,5},{2,4,6},{3},{7}} => {{1},{2,4,5},{3,6},{7}} => {{1,2,5,7},{3,6},{4}} => 7
[5,4,3,6,2,7,1] => {{1,5},{2,4,6,7},{3}} => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 3
[5,4,3,6,7,1,2] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 4
[5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 4
[5,4,3,7,1,2,6] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,3,7,1,6,2] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,3,7,2,1,6] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,3,7,2,6,1] => {{1,5},{2,4,7},{3},{6}} => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,4,3,7,6,1,2] => {{1,5,6},{2,4,7},{3}} => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 4
[5,4,3,7,6,2,1] => {{1,5,6},{2,4,7},{3}} => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 4
[5,4,6,1,2,3,7] => {{1,5},{2,4},{3,6},{7}} => {{1,6},{2,4,5},{3},{7}} => {{1,2},{3,7},{4},{5,6}} => 3
[5,4,6,1,2,7,3] => {{1,5},{2,4},{3,6,7}} => {{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,6},{4}} => 3
[5,4,6,1,3,2,7] => {{1,5},{2,4},{3,6},{7}} => {{1,6},{2,4,5},{3},{7}} => {{1,2},{3,7},{4},{5,6}} => 3
[5,4,6,1,3,7,2] => {{1,5},{2,4},{3,6,7}} => {{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,6},{4}} => 3
[5,4,6,1,7,2,3] => {{1,5,7},{2,4},{3,6}} => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 2
[5,4,6,1,7,3,2] => {{1,5,7},{2,4},{3,6}} => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 2
[5,4,6,2,1,3,7] => {{1,5},{2,4},{3,6},{7}} => {{1,6},{2,4,5},{3},{7}} => {{1,2},{3,7},{4},{5,6}} => 3
[5,4,6,2,1,7,3] => {{1,5},{2,4},{3,6,7}} => {{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,6},{4}} => 3
[5,4,6,2,3,1,7] => {{1,5},{2,4},{3,6},{7}} => {{1,6},{2,4,5},{3},{7}} => {{1,2},{3,7},{4},{5,6}} => 3
[5,4,6,2,3,7,1] => {{1,5},{2,4},{3,6,7}} => {{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,6},{4}} => 3
[5,4,6,2,7,1,3] => {{1,5,7},{2,4},{3,6}} => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 2
[5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 2
[5,4,6,3,1,2,7] => {{1,5},{2,4},{3,6},{7}} => {{1,6},{2,4,5},{3},{7}} => {{1,2},{3,7},{4},{5,6}} => 3
[5,4,6,3,1,7,2] => {{1,5},{2,4},{3,6,7}} => {{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,6},{4}} => 3
[5,4,6,3,2,1,7] => {{1,5},{2,4},{3,6},{7}} => {{1,6},{2,4,5},{3},{7}} => {{1,2},{3,7},{4},{5,6}} => 3
[5,4,6,3,2,7,1] => {{1,5},{2,4},{3,6,7}} => {{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,6},{4}} => 3
[5,4,6,3,7,1,2] => {{1,5,7},{2,4},{3,6}} => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 2
[5,4,6,3,7,2,1] => {{1,5,7},{2,4},{3,6}} => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 2
[5,4,6,7,1,2,3] => {{1,5},{2,4,7},{3,6}} => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 3
[5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 3
[5,4,6,7,2,1,3] => {{1,5},{2,4,7},{3,6}} => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 3
[5,4,6,7,2,3,1] => {{1,5},{2,4,7},{3,6}} => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 3
[5,4,6,7,3,1,2] => {{1,5},{2,4,7},{3,6}} => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 3
[5,4,6,7,3,2,1] => {{1,5},{2,4,7},{3,6}} => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 3
[5,4,7,1,2,3,6] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,1,2,6,3] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,1,3,2,6] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,1,3,6,2] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,1,6,2,3] => {{1,5,6},{2,4},{3,7}} => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 2
[5,4,7,1,6,3,2] => {{1,5,6},{2,4},{3,7}} => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 2
[5,4,7,2,1,3,6] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,2,1,6,3] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,2,3,1,6] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,2,3,6,1] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,2,6,1,3] => {{1,5,6},{2,4},{3,7}} => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 2
[5,4,7,2,6,3,1] => {{1,5,6},{2,4},{3,7}} => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 2
[5,4,7,3,1,2,6] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,3,1,6,2] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,3,2,1,6] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,3,2,6,1] => {{1,5},{2,4},{3,7},{6}} => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 6
[5,4,7,3,6,1,2] => {{1,5,6},{2,4},{3,7}} => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 2
[5,4,7,3,6,2,1] => {{1,5,6},{2,4},{3,7}} => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 2
[5,4,7,6,1,2,3] => {{1,5},{2,4,6},{3,7}} => {{1,7},{2,4,5},{3,6}} => {{1},{2,5,7},{3,6},{4}} => 4
[5,4,7,6,1,3,2] => {{1,5},{2,4,6},{3,7}} => {{1,7},{2,4,5},{3,6}} => {{1},{2,5,7},{3,6},{4}} => 4
[5,4,7,6,2,1,3] => {{1,5},{2,4,6},{3,7}} => {{1,7},{2,4,5},{3,6}} => {{1},{2,5,7},{3,6},{4}} => 4
[5,4,7,6,2,3,1] => {{1,5},{2,4,6},{3,7}} => {{1,7},{2,4,5},{3,6}} => {{1},{2,5,7},{3,6},{4}} => 4
[5,4,7,6,3,1,2] => {{1,5},{2,4,6},{3,7}} => {{1,7},{2,4,5},{3,6}} => {{1},{2,5,7},{3,6},{4}} => 4
[5,4,7,6,3,2,1] => {{1,5},{2,4,6},{3,7}} => {{1,7},{2,4,5},{3,6}} => {{1},{2,5,7},{3,6},{4}} => 4
[5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,1,2,3,7,4] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,1,2,4,3,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,1,2,4,7,3] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,1,2,7,3,4] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,1,2,7,4,3] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,1,3,2,4,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,1,3,2,7,4] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,1,3,4,2,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,1,3,4,7,2] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,1,3,7,2,4] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,1,3,7,4,2] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,1,4,2,3,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,1,4,2,7,3] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,1,4,3,2,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,1,4,3,7,2] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,1,4,7,2,3] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,1,4,7,3,2] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,1,7,2,3,4] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,1,7,2,4,3] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,1,7,3,2,4] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,1,7,3,4,2] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,1,7,4,2,3] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,1,7,4,3,2] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,2,1,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,2,1,3,7,4] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,2,1,4,3,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,2,1,4,7,3] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,2,1,7,3,4] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,2,1,7,4,3] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,2,3,1,4,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,2,3,1,7,4] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,2,3,4,1,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,2,3,4,7,1] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,2,3,7,1,4] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,2,3,7,4,1] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,2,4,1,3,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,2,4,1,7,3] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,2,4,3,1,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,2,4,3,7,1] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,2,4,7,1,3] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,2,4,7,3,1] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,2,7,1,3,4] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,2,7,1,4,3] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,2,7,3,1,4] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,2,7,3,4,1] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,2,7,4,1,3] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,2,7,4,3,1] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,3,1,2,4,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,3,1,2,7,4] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,3,1,4,2,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,3,1,4,7,2] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,3,1,7,2,4] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,3,1,7,4,2] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,3,2,1,4,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,3,2,1,7,4] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,3,2,4,1,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,3,2,4,7,1] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,3,2,7,1,4] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,3,2,7,4,1] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,3,4,1,2,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,3,4,1,7,2] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,3,4,2,1,7] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 7
[5,6,3,4,2,7,1] => {{1,5},{2,6,7},{3},{4}} => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 7
[5,6,3,4,7,1,2] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 4
[5,6,3,7,1,2,4] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,3,7,1,4,2] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,3,7,2,1,4] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,3,7,2,4,1] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,3,7,4,1,2] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,3,7,4,2,1] => {{1,5},{2,6},{3},{4,7}} => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 4
[5,6,4,1,2,3,7] => {{1,5},{2,6},{3,4},{7}} => {{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6,7},{4}} => 6
[5,6,4,1,2,7,3] => {{1,5},{2,6,7},{3,4}} => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 4
[5,6,4,1,3,2,7] => {{1,5},{2,6},{3,4},{7}} => {{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6,7},{4}} => 6
[5,6,4,1,3,7,2] => {{1,5},{2,6,7},{3,4}} => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 4
[5,6,4,1,7,2,3] => {{1,5,7},{2,6},{3,4}} => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 4
[5,6,4,1,7,3,2] => {{1,5,7},{2,6},{3,4}} => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 4
[5,6,4,2,1,3,7] => {{1,5},{2,6},{3,4},{7}} => {{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6,7},{4}} => 6
[5,6,4,2,1,7,3] => {{1,5},{2,6,7},{3,4}} => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 4
[5,6,4,2,3,1,7] => {{1,5},{2,6},{3,4},{7}} => {{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6,7},{4}} => 6
[5,6,4,2,3,7,1] => {{1,5},{2,6,7},{3,4}} => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 4
[5,6,4,2,7,1,3] => {{1,5,7},{2,6},{3,4}} => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 4
[5,6,4,2,7,3,1] => {{1,5,7},{2,6},{3,4}} => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 4
[5,6,4,3,1,2,7] => {{1,5},{2,6},{3,4},{7}} => {{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6,7},{4}} => 6
[5,6,4,3,1,7,2] => {{1,5},{2,6,7},{3,4}} => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 4
[5,6,4,3,2,1,7] => {{1,5},{2,6},{3,4},{7}} => {{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6,7},{4}} => 6
[5,6,4,3,2,7,1] => {{1,5},{2,6,7},{3,4}} => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 4
[5,6,4,3,7,1,2] => {{1,5,7},{2,6},{3,4}} => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 4
[5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 4
[5,6,4,7,1,2,3] => {{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,7},{4}} => 3
[5,6,4,7,1,3,2] => {{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,7},{4}} => 3
[5,6,4,7,2,1,3] => {{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,7},{4}} => 3
[5,6,4,7,2,3,1] => {{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,7},{4}} => 3
[5,6,4,7,3,1,2] => {{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,7},{4}} => 3
[5,6,4,7,3,2,1] => {{1,5},{2,6},{3,4,7}} => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,7},{4}} => 3
[5,6,7,1,2,3,4] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,1,2,4,3] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,1,3,2,4] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,1,3,4,2] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,1,4,2,3] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,1,4,3,2] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,2,1,3,4] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,2,1,4,3] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,2,3,1,4] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,2,3,4,1] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,2,4,1,3] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,2,4,3,1] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,3,1,2,4] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,3,1,4,2] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,3,2,1,4] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,3,2,4,1] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,3,4,1,2] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,3,4,2,1] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,4,1,2,3] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,4,1,3,2] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,4,2,1,3] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,4,2,3,1] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,4,3,1,2] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,6,7,4,3,2,1] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 3
[5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,2,3,6,4] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,2,4,3,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,2,4,6,3] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,2,6,3,4] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,1,2,6,4,3] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,1,3,2,4,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,3,2,6,4] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,3,4,2,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,3,4,6,2] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,3,6,2,4] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,1,3,6,4,2] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,1,4,2,3,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,4,2,6,3] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,4,3,2,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,4,3,6,2] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,1,4,6,2,3] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,1,4,6,3,2] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,1,6,2,3,4] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,1,6,2,4,3] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,1,6,3,2,4] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,1,6,3,4,2] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,1,6,4,2,3] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,1,6,4,3,2] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,2,1,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,1,3,6,4] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,1,4,3,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,1,4,6,3] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,1,6,3,4] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,2,1,6,4,3] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,2,3,1,4,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,3,1,6,4] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,3,4,1,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,3,4,6,1] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,3,6,1,4] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,2,3,6,4,1] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,2,4,1,3,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,4,1,6,3] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,4,3,1,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,4,3,6,1] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,2,4,6,1,3] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,2,4,6,3,1] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,2,6,1,3,4] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,2,6,1,4,3] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,2,6,3,1,4] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,2,6,3,4,1] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,2,6,4,1,3] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,2,6,4,3,1] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,3,1,2,4,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,1,2,6,4] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,1,4,2,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,1,4,6,2] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,1,6,2,4] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,3,1,6,4,2] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,3,2,1,4,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,2,1,6,4] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,2,4,1,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,2,4,6,1] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,2,6,1,4] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,3,2,6,4,1] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,3,4,1,2,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,4,1,6,2] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,4,2,1,6] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,4,2,6,1] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 7
[5,7,3,4,6,1,2] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,3,4,6,2,1] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 4
[5,7,3,6,1,2,4] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,3,6,1,4,2] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,3,6,2,1,4] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,3,6,2,4,1] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,3,6,4,1,2] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,3,6,4,2,1] => {{1,5},{2,7},{3},{4,6}} => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 7
[5,7,4,1,2,3,6] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,1,2,6,3] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,1,3,2,6] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,1,3,6,2] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,1,6,2,3] => {{1,5,6},{2,7},{3,4}} => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 4
[5,7,4,1,6,3,2] => {{1,5,6},{2,7},{3,4}} => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 4
[5,7,4,2,1,3,6] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,2,1,6,3] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,2,3,1,6] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,2,3,6,1] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,2,6,1,3] => {{1,5,6},{2,7},{3,4}} => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 4
[5,7,4,2,6,3,1] => {{1,5,6},{2,7},{3,4}} => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 4
[5,7,4,3,1,2,6] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,3,1,6,2] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,3,2,1,6] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,3,2,6,1] => {{1,5},{2,7},{3,4},{6}} => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 4
[5,7,4,3,6,1,2] => {{1,5,6},{2,7},{3,4}} => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 4
[5,7,4,3,6,2,1] => {{1,5,6},{2,7},{3,4}} => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 4
[5,7,4,6,1,2,3] => {{1,5},{2,7},{3,4,6}} => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 4
[5,7,4,6,1,3,2] => {{1,5},{2,7},{3,4,6}} => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 4
[5,7,4,6,2,1,3] => {{1,5},{2,7},{3,4,6}} => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 4
[5,7,4,6,2,3,1] => {{1,5},{2,7},{3,4,6}} => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 4
[5,7,4,6,3,1,2] => {{1,5},{2,7},{3,4,6}} => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 4
[5,7,4,6,3,2,1] => {{1,5},{2,7},{3,4,6}} => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 4
[5,7,6,1,2,3,4] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,1,2,4,3] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,1,3,2,4] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,1,3,4,2] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,1,4,2,3] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,1,4,3,2] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,2,1,3,4] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,2,1,4,3] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,2,3,1,4] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,2,3,4,1] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,2,4,1,3] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,2,4,3,1] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,3,1,2,4] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,3,1,4,2] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,3,2,1,4] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,3,2,4,1] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,3,4,1,2] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,3,4,2,1] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,4,1,2,3] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,4,1,3,2] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,4,2,1,3] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,4,2,3,1] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,4,3,1,2] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[5,7,6,4,3,2,1] => {{1,5},{2,7},{3,6},{4}} => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 6
[6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,1,2,3,5,4,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,1,2,3,5,7,4] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,1,2,3,7,5,4] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,1,2,4,3,5,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,1,2,4,3,7,5] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,1,2,4,5,3,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,1,2,4,5,7,3] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,1,2,4,7,3,5] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,1,2,4,7,5,3] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,1,2,5,3,4,7] => {{1,6},{2},{3},{4,5},{7}} => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 7
[6,1,2,5,3,7,4] => {{1,6,7},{2},{3},{4,5}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 6
[6,1,2,5,4,3,7] => {{1,6},{2},{3},{4,5},{7}} => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 7
[6,1,2,5,4,7,3] => {{1,6,7},{2},{3},{4,5}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 6
[6,1,2,5,7,3,4] => {{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 7
[6,1,2,5,7,4,3] => {{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 7
[6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,2,7,3,5,4] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,2,7,4,3,5] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,2,7,4,5,3] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,2,7,5,3,4] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,2,7,5,4,3] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,3,2,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,1,3,2,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,1,3,2,5,4,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,1,3,2,5,7,4] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,1,3,2,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,1,3,2,7,5,4] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,1,3,4,2,5,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,1,3,4,2,7,5] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,1,3,4,5,2,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,1,3,4,5,7,2] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,1,3,4,7,2,5] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,1,3,4,7,5,2] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,1,3,5,2,4,7] => {{1,6},{2},{3},{4,5},{7}} => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 7
[6,1,3,5,2,7,4] => {{1,6,7},{2},{3},{4,5}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 6
[6,1,3,5,4,2,7] => {{1,6},{2},{3},{4,5},{7}} => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 7
[6,1,3,5,4,7,2] => {{1,6,7},{2},{3},{4,5}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 6
[6,1,3,5,7,2,4] => {{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 7
[6,1,3,5,7,4,2] => {{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 7
[6,1,3,7,2,4,5] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,3,7,2,5,4] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,3,7,4,2,5] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,3,7,4,5,2] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,3,7,5,2,4] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,3,7,5,4,2] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,1,4,2,3,5,7] => {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}} => 6
[6,1,4,2,3,7,5] => {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 4
[6,1,4,2,5,3,7] => {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}} => 6
[6,1,4,2,5,7,3] => {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 4
[6,1,4,2,7,3,5] => {{1,6},{2},{3,4},{5,7}} => {{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}} => 6
[6,1,4,2,7,5,3] => {{1,6},{2},{3,4},{5,7}} => {{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}} => 6
[6,1,4,3,2,5,7] => {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}} => 6
[6,1,4,3,2,7,5] => {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 4
[6,1,4,3,5,2,7] => {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}} => 6
[6,1,4,3,5,7,2] => {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 4
[6,1,4,3,7,2,5] => {{1,6},{2},{3,4},{5,7}} => {{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}} => 6
[6,1,4,3,7,5,2] => {{1,6},{2},{3,4},{5,7}} => {{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}} => 6
[6,1,4,5,2,3,7] => {{1,6},{2},{3,4,5},{7}} => {{1,4},{2,5,6},{3},{7}} => {{1,2,5,6},{3},{4,7}} => 7
[6,1,4,5,2,7,3] => {{1,6,7},{2},{3,4,5}} => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 4
[6,1,4,5,3,2,7] => {{1,6},{2},{3,4,5},{7}} => {{1,4},{2,5,6},{3},{7}} => {{1,2,5,6},{3},{4,7}} => 7
[6,1,4,5,3,7,2] => {{1,6,7},{2},{3,4,5}} => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 4
[6,1,4,5,7,2,3] => {{1,6},{2},{3,4,5,7}} => {{1,4},{2,5,6},{3,7}} => {{1,5},{2,6},{3},{4,7}} => 3
[6,1,4,5,7,3,2] => {{1,6},{2},{3,4,5,7}} => {{1,4},{2,5,6},{3,7}} => {{1,5},{2,6},{3},{4,7}} => 3
[6,1,4,7,2,3,5] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,1,4,7,2,5,3] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,1,4,7,3,2,5] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,1,4,7,3,5,2] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,1,4,7,5,2,3] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,1,4,7,5,3,2] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,1,5,2,3,4,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,1,5,2,3,7,4] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,1,5,2,4,3,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,1,5,2,4,7,3] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,1,5,2,7,3,4] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,1,5,2,7,4,3] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,1,5,3,2,4,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,1,5,3,2,7,4] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,1,5,3,4,2,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,1,5,3,4,7,2] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,1,5,3,7,2,4] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,1,5,3,7,4,2] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,1,5,4,2,3,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,1,5,4,2,7,3] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,1,5,4,3,2,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,1,5,4,3,7,2] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,1,5,4,7,2,3] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,1,5,4,7,3,2] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,1,5,7,2,3,4] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,1,5,7,2,4,3] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,1,5,7,3,2,4] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,1,5,7,3,4,2] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,1,5,7,4,2,3] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,1,5,7,4,3,2] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,2,3,5,4] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,2,4,3,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,2,4,5,3] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,2,5,3,4] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,2,5,4,3] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,3,2,4,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,3,2,5,4] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,3,4,2,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,3,4,5,2] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,3,5,2,4] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,3,5,4,2] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,4,2,3,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,4,2,5,3] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,4,3,2,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,4,3,5,2] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,4,5,2,3] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,4,5,3,2] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,1,7,5,2,3,4] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,1,7,5,2,4,3] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,1,7,5,3,2,4] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,1,7,5,3,4,2] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,1,7,5,4,2,3] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,1,7,5,4,3,2] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,2,1,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,2,1,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,2,1,3,5,4,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,2,1,3,5,7,4] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,2,1,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,2,1,3,7,5,4] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,2,1,4,3,5,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,2,1,4,3,7,5] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,2,1,4,5,3,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,2,1,4,5,7,3] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,2,1,4,7,3,5] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,2,1,4,7,5,3] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,2,1,5,3,4,7] => {{1,6},{2},{3},{4,5},{7}} => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 7
[6,2,1,5,3,7,4] => {{1,6,7},{2},{3},{4,5}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 6
[6,2,1,5,4,3,7] => {{1,6},{2},{3},{4,5},{7}} => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 7
[6,2,1,5,4,7,3] => {{1,6,7},{2},{3},{4,5}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 6
[6,2,1,5,7,3,4] => {{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 7
[6,2,1,5,7,4,3] => {{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 7
[6,2,1,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,1,7,3,5,4] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,1,7,4,3,5] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,1,7,4,5,3] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,1,7,5,3,4] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,1,7,5,4,3] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,3,1,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,2,3,1,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,2,3,1,5,4,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,2,3,1,5,7,4] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,2,3,1,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,2,3,1,7,5,4] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,2,3,4,1,5,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,2,3,4,1,7,5] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,2,3,4,5,1,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 15
[6,2,3,4,5,7,1] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 10
[6,2,3,4,7,1,5] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,2,3,4,7,5,1] => {{1,6},{2},{3},{4},{5,7}} => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 10
[6,2,3,5,1,4,7] => {{1,6},{2},{3},{4,5},{7}} => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 7
[6,2,3,5,1,7,4] => {{1,6,7},{2},{3},{4,5}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 6
[6,2,3,5,4,1,7] => {{1,6},{2},{3},{4,5},{7}} => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 7
[6,2,3,5,4,7,1] => {{1,6,7},{2},{3},{4,5}} => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 6
[6,2,3,5,7,1,4] => {{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 7
[6,2,3,5,7,4,1] => {{1,6},{2},{3},{4,5,7}} => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 7
[6,2,3,7,1,4,5] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,3,7,1,5,4] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,3,7,4,1,5] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,3,7,4,5,1] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,3,7,5,1,4] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,3,7,5,4,1] => {{1,6},{2},{3},{4,7},{5}} => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 7
[6,2,4,1,3,5,7] => {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}} => 6
[6,2,4,1,3,7,5] => {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 4
[6,2,4,1,5,3,7] => {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}} => 6
[6,2,4,1,5,7,3] => {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 4
[6,2,4,1,7,3,5] => {{1,6},{2},{3,4},{5,7}} => {{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}} => 6
[6,2,4,1,7,5,3] => {{1,6},{2},{3,4},{5,7}} => {{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}} => 6
[6,2,4,3,1,5,7] => {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}} => 6
[6,2,4,3,1,7,5] => {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 4
[6,2,4,3,5,1,7] => {{1,6},{2},{3,4},{5},{7}} => {{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}} => 6
[6,2,4,3,5,7,1] => {{1,6,7},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 4
[6,2,4,3,7,1,5] => {{1,6},{2},{3,4},{5,7}} => {{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}} => 6
[6,2,4,3,7,5,1] => {{1,6},{2},{3,4},{5,7}} => {{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}} => 6
[6,2,4,5,1,3,7] => {{1,6},{2},{3,4,5},{7}} => {{1,4},{2,5,6},{3},{7}} => {{1,2,5,6},{3},{4,7}} => 7
[6,2,4,5,1,7,3] => {{1,6,7},{2},{3,4,5}} => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 4
[6,2,4,5,3,1,7] => {{1,6},{2},{3,4,5},{7}} => {{1,4},{2,5,6},{3},{7}} => {{1,2,5,6},{3},{4,7}} => 7
[6,2,4,5,3,7,1] => {{1,6,7},{2},{3,4,5}} => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 4
[6,2,4,5,7,1,3] => {{1,6},{2},{3,4,5,7}} => {{1,4},{2,5,6},{3,7}} => {{1,5},{2,6},{3},{4,7}} => 3
[6,2,4,5,7,3,1] => {{1,6},{2},{3,4,5,7}} => {{1,4},{2,5,6},{3,7}} => {{1,5},{2,6},{3},{4,7}} => 3
[6,2,4,7,1,3,5] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,2,4,7,1,5,3] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,2,4,7,3,1,5] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,2,4,7,3,5,1] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,2,4,7,5,1,3] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,2,4,7,5,3,1] => {{1,6},{2},{3,4,7},{5}} => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 7
[6,2,5,1,3,4,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,2,5,1,3,7,4] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,2,5,1,4,3,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,2,5,1,4,7,3] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,2,5,1,7,3,4] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,2,5,1,7,4,3] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,2,5,3,1,4,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,2,5,3,1,7,4] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,2,5,3,4,1,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,2,5,3,4,7,1] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,2,5,3,7,1,4] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,2,5,3,7,4,1] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,2,5,4,1,3,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,2,5,4,1,7,3] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,2,5,4,3,1,7] => {{1,6},{2},{3,5},{4},{7}} => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 6
[6,2,5,4,3,7,1] => {{1,6,7},{2},{3,5},{4}} => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 4
[6,2,5,4,7,1,3] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,2,5,4,7,3,1] => {{1,6},{2},{3,5,7},{4}} => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 7
[6,2,5,7,1,3,4] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,2,5,7,1,4,3] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,2,5,7,3,1,4] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,2,5,7,3,4,1] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,2,5,7,4,1,3] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,2,5,7,4,3,1] => {{1,6},{2},{3,5},{4,7}} => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 4
[6,2,7,1,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,1,3,5,4] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,1,4,3,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,1,4,5,3] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,1,5,3,4] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,1,5,4,3] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,3,1,4,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,3,1,5,4] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,3,4,1,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,3,4,5,1] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,3,5,1,4] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,3,5,4,1] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,4,1,3,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,4,1,5,3] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,4,3,1,5] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,4,3,5,1] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,4,5,1,3] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,4,5,3,1] => {{1,6},{2},{3,7},{4},{5}} => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 6
[6,2,7,5,1,3,4] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,2,7,5,1,4,3] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,2,7,5,3,1,4] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,2,7,5,3,4,1] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,2,7,5,4,1,3] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,2,7,5,4,3,1] => {{1,6},{2},{3,7},{4,5}} => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 6
[6,3,1,2,4,5,7] => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}} => 7
[6,3,1,2,4,7,5] => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 4
[6,3,1,2,5,4,7] => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}} => 7
[6,3,1,2,5,7,4] => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 4
[6,3,1,2,7,4,5] => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}} => 7
[6,3,1,2,7,5,4] => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}} => 7
[6,3,1,4,2,5,7] => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}} => 7
[6,3,1,4,2,7,5] => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 4
[6,3,1,4,5,2,7] => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}} => 7
[6,3,1,4,5,7,2] => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 4
[6,3,1,4,7,2,5] => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}} => 7
[6,3,1,4,7,5,2] => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}} => 7
[6,3,1,5,2,4,7] => {{1,6},{2,3},{4,5},{7}} => {{1,3},{2,5,6},{4},{7}} => {{1,2,6},{3},{4,5,7}} => 6
[6,3,1,5,2,7,4] => {{1,6,7},{2,3},{4,5}} => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 4
[6,3,1,5,4,2,7] => {{1,6},{2,3},{4,5},{7}} => {{1,3},{2,5,6},{4},{7}} => {{1,2,6},{3},{4,5,7}} => 6
[6,3,1,5,4,7,2] => {{1,6,7},{2,3},{4,5}} => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 4
[6,3,1,5,7,2,4] => {{1,6},{2,3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => {{1},{2,6},{3},{4,5,7}} => 4
[6,3,1,5,7,4,2] => {{1,6},{2,3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => {{1},{2,6},{3},{4,5,7}} => 4
[6,3,1,7,2,4,5] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,1,7,2,5,4] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,1,7,4,2,5] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,1,7,4,5,2] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,1,7,5,2,4] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,1,7,5,4,2] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,2,1,4,5,7] => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}} => 7
[6,3,2,1,4,7,5] => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 4
[6,3,2,1,5,4,7] => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}} => 7
[6,3,2,1,5,7,4] => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 4
[6,3,2,1,7,4,5] => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}} => 7
[6,3,2,1,7,5,4] => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}} => 7
[6,3,2,4,1,5,7] => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}} => 7
[6,3,2,4,1,7,5] => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 4
[6,3,2,4,5,1,7] => {{1,6},{2,3},{4},{5},{7}} => {{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}} => 7
[6,3,2,4,5,7,1] => {{1,6,7},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 4
[6,3,2,4,7,1,5] => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}} => 7
[6,3,2,4,7,5,1] => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}} => 7
[6,3,2,5,1,4,7] => {{1,6},{2,3},{4,5},{7}} => {{1,3},{2,5,6},{4},{7}} => {{1,2,6},{3},{4,5,7}} => 6
[6,3,2,5,1,7,4] => {{1,6,7},{2,3},{4,5}} => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 4
[6,3,2,5,4,1,7] => {{1,6},{2,3},{4,5},{7}} => {{1,3},{2,5,6},{4},{7}} => {{1,2,6},{3},{4,5,7}} => 6
[6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}} => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 4
[6,3,2,5,7,1,4] => {{1,6},{2,3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => {{1},{2,6},{3},{4,5,7}} => 4
[6,3,2,5,7,4,1] => {{1,6},{2,3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => {{1},{2,6},{3},{4,5,7}} => 4
[6,3,2,7,1,4,5] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,2,7,1,5,4] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,2,7,4,1,5] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,2,7,4,5,1] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,2,7,5,1,4] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,2,7,5,4,1] => {{1,6},{2,3},{4,7},{5}} => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 4
[6,3,4,1,2,5,7] => {{1,6},{2,3,4},{5},{7}} => {{1,3},{2,4},{5,6},{7}} => {{1,2,4,6},{3},{5,7}} => 7
[6,3,4,1,2,7,5] => {{1,6,7},{2,3,4},{5}} => {{1,3},{2,4},{5,6,7}} => {{1,4,6},{2},{3},{5,7}} => 4
[6,3,4,1,5,2,7] => {{1,6},{2,3,4},{5},{7}} => {{1,3},{2,4},{5,6},{7}} => {{1,2,4,6},{3},{5,7}} => 7
[6,3,4,1,5,7,2] => {{1,6,7},{2,3,4},{5}} => {{1,3},{2,4},{5,6,7}} => {{1,4,6},{2},{3},{5,7}} => 4
[6,3,4,1,7,2,5] => {{1,6},{2,3,4},{5,7}} => {{1,3,7},{2,4},{5,6}} => {{1},{2,4,6},{3},{5,7}} => 4
[6,3,4,1,7,5,2] => {{1,6},{2,3,4},{5,7}} => {{1,3,7},{2,4},{5,6}} => {{1},{2,4,6},{3},{5,7}} => 4
[6,3,4,2,1,5,7] => {{1,6},{2,3,4},{5},{7}} => {{1,3},{2,4},{5,6},{7}} => {{1,2,4,6},{3},{5,7}} => 7
[6,3,4,2,1,7,5] => {{1,6,7},{2,3,4},{5}} => {{1,3},{2,4},{5,6,7}} => {{1,4,6},{2},{3},{5,7}} => 4
[6,3,4,2,5,1,7] => {{1,6},{2,3,4},{5},{7}} => {{1,3},{2,4},{5,6},{7}} => {{1,2,4,6},{3},{5,7}} => 7
[6,3,4,2,5,7,1] => {{1,6,7},{2,3,4},{5}} => {{1,3},{2,4},{5,6,7}} => {{1,4,6},{2},{3},{5,7}} => 4
[6,3,4,2,7,1,5] => {{1,6},{2,3,4},{5,7}} => {{1,3,7},{2,4},{5,6}} => {{1},{2,4,6},{3},{5,7}} => 4
[6,3,4,2,7,5,1] => {{1,6},{2,3,4},{5,7}} => {{1,3,7},{2,4},{5,6}} => {{1},{2,4,6},{3},{5,7}} => 4
[6,3,4,5,1,2,7] => {{1,6},{2,3,4,5},{7}} => {{1,3,5,6},{2,4},{7}} => {{1,2},{3},{4,6},{5,7}} => 3
[6,3,4,5,1,7,2] => {{1,6,7},{2,3,4,5}} => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 2
[6,3,4,5,2,1,7] => {{1,6},{2,3,4,5},{7}} => {{1,3,5,6},{2,4},{7}} => {{1,2},{3},{4,6},{5,7}} => 3
[6,3,4,5,2,7,1] => {{1,6,7},{2,3,4,5}} => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 2
[6,3,4,5,7,1,2] => {{1,6},{2,3,4,5,7}} => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 6
[6,3,4,5,7,2,1] => {{1,6},{2,3,4,5,7}} => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 6
[6,3,4,7,1,2,5] => {{1,6},{2,3,4,7},{5}} => {{1,3},{2,4,7},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 3
[6,3,4,7,1,5,2] => {{1,6},{2,3,4,7},{5}} => {{1,3},{2,4,7},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 3
[6,3,4,7,2,1,5] => {{1,6},{2,3,4,7},{5}} => {{1,3},{2,4,7},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 3
[6,3,4,7,2,5,1] => {{1,6},{2,3,4,7},{5}} => {{1,3},{2,4,7},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 3
[6,3,4,7,5,1,2] => {{1,6},{2,3,4,7},{5}} => {{1,3},{2,4,7},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 3
[6,3,4,7,5,2,1] => {{1,6},{2,3,4,7},{5}} => {{1,3},{2,4,7},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 3
[6,3,5,1,2,4,7] => {{1,6},{2,3,5},{4},{7}} => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[6,3,5,1,2,7,4] => {{1,6,7},{2,3,5},{4}} => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[6,3,5,1,4,2,7] => {{1,6},{2,3,5},{4},{7}} => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[6,3,5,1,4,7,2] => {{1,6,7},{2,3,5},{4}} => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[6,3,5,1,7,2,4] => {{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 3
[6,3,5,1,7,4,2] => {{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 3
[6,3,5,2,1,4,7] => {{1,6},{2,3,5},{4},{7}} => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[6,3,5,2,1,7,4] => {{1,6,7},{2,3,5},{4}} => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[6,3,5,2,4,1,7] => {{1,6},{2,3,5},{4},{7}} => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[6,3,5,2,4,7,1] => {{1,6,7},{2,3,5},{4}} => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[6,3,5,2,7,1,4] => {{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 3
[6,3,5,2,7,4,1] => {{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 3
[6,3,5,4,1,2,7] => {{1,6},{2,3,5},{4},{7}} => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[6,3,5,4,1,7,2] => {{1,6,7},{2,3,5},{4}} => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[6,3,5,4,2,1,7] => {{1,6},{2,3,5},{4},{7}} => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[6,3,5,4,2,7,1] => {{1,6,7},{2,3,5},{4}} => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[6,3,5,4,7,1,2] => {{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 3
[6,3,5,4,7,2,1] => {{1,6},{2,3,5,7},{4}} => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 3
[6,3,5,7,1,2,4] => {{1,6},{2,3,5},{4,7}} => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 3
[6,3,5,7,1,4,2] => {{1,6},{2,3,5},{4,7}} => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 3
[6,3,5,7,2,1,4] => {{1,6},{2,3,5},{4,7}} => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 3
[6,3,5,7,2,4,1] => {{1,6},{2,3,5},{4,7}} => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 3
[6,3,5,7,4,1,2] => {{1,6},{2,3,5},{4,7}} => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 3
[6,3,5,7,4,2,1] => {{1,6},{2,3,5},{4,7}} => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 3
[6,3,7,1,2,4,5] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,1,2,5,4] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,1,4,2,5] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,1,4,5,2] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,1,5,2,4] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,1,5,4,2] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,2,1,4,5] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,2,1,5,4] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,2,4,1,5] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,2,4,5,1] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,2,5,1,4] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,2,5,4,1] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,4,1,2,5] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,4,1,5,2] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,4,2,1,5] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,4,2,5,1] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,4,5,1,2] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,4,5,2,1] => {{1,6},{2,3,7},{4},{5}} => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 3
[6,3,7,5,1,2,4] => {{1,6},{2,3,7},{4,5}} => {{1,3},{2,5,6},{4,7}} => {{1,4},{2,6},{3},{5,7}} => 3
[6,3,7,5,1,4,2] => {{1,6},{2,3,7},{4,5}} => {{1,3},{2,5,6},{4,7}} => {{1,4},{2,6},{3},{5,7}} => 3
[6,3,7,5,2,1,4] => {{1,6},{2,3,7},{4,5}} => {{1,3},{2,5,6},{4,7}} => {{1,4},{2,6},{3},{5,7}} => 3
[6,3,7,5,2,4,1] => {{1,6},{2,3,7},{4,5}} => {{1,3},{2,5,6},{4,7}} => {{1,4},{2,6},{3},{5,7}} => 3
[6,3,7,5,4,1,2] => {{1,6},{2,3,7},{4,5}} => {{1,3},{2,5,6},{4,7}} => {{1,4},{2,6},{3},{5,7}} => 3
[6,3,7,5,4,2,1] => {{1,6},{2,3,7},{4,5}} => {{1,3},{2,5,6},{4,7}} => {{1,4},{2,6},{3},{5,7}} => 3
[6,4,1,2,3,5,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,1,2,3,7,5] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,1,2,5,3,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,1,2,5,7,3] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,1,2,7,3,5] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,1,2,7,5,3] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,1,3,2,5,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,1,3,2,7,5] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,1,3,5,2,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,1,3,5,7,2] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,1,3,7,2,5] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,1,3,7,5,2] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,1,5,2,3,7] => {{1,6},{2,4,5},{3},{7}} => {{1},{2,4},{3,5,6},{7}} => {{1,2,5,7},{3},{4,6}} => 7
[6,4,1,5,2,7,3] => {{1,6,7},{2,4,5},{3}} => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 4
[6,4,1,5,3,2,7] => {{1,6},{2,4,5},{3},{7}} => {{1},{2,4},{3,5,6},{7}} => {{1,2,5,7},{3},{4,6}} => 7
[6,4,1,5,3,7,2] => {{1,6,7},{2,4,5},{3}} => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 4
[6,4,1,5,7,2,3] => {{1,6},{2,4,5,7},{3}} => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 3
[6,4,1,5,7,3,2] => {{1,6},{2,4,5,7},{3}} => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 3
[6,4,1,7,2,3,5] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,1,7,2,5,3] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,1,7,3,2,5] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,1,7,3,5,2] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,1,7,5,2,3] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,1,7,5,3,2] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,2,1,3,5,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,2,1,3,7,5] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,2,1,5,3,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,2,1,5,7,3] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,2,1,7,3,5] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,2,1,7,5,3] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,2,3,1,5,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,2,3,1,7,5] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,2,3,5,1,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,2,3,5,7,1] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,2,3,7,1,5] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,2,3,7,5,1] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,2,5,1,3,7] => {{1,6},{2,4,5},{3},{7}} => {{1},{2,4},{3,5,6},{7}} => {{1,2,5,7},{3},{4,6}} => 7
[6,4,2,5,1,7,3] => {{1,6,7},{2,4,5},{3}} => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 4
[6,4,2,5,3,1,7] => {{1,6},{2,4,5},{3},{7}} => {{1},{2,4},{3,5,6},{7}} => {{1,2,5,7},{3},{4,6}} => 7
[6,4,2,5,3,7,1] => {{1,6,7},{2,4,5},{3}} => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 4
[6,4,2,5,7,1,3] => {{1,6},{2,4,5,7},{3}} => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 3
[6,4,2,5,7,3,1] => {{1,6},{2,4,5,7},{3}} => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 3
[6,4,2,7,1,3,5] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,2,7,1,5,3] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,2,7,3,1,5] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,2,7,3,5,1] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,2,7,5,1,3] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,2,7,5,3,1] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,3,1,2,5,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,3,1,2,7,5] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,3,1,5,2,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,3,1,5,7,2] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,3,1,7,2,5] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,3,1,7,5,2] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,3,2,1,5,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,3,2,1,7,5] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,3,2,5,1,7] => {{1,6},{2,4},{3},{5},{7}} => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 7
[6,4,3,2,5,7,1] => {{1,6,7},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 4
[6,4,3,2,7,1,5] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,3,2,7,5,1] => {{1,6},{2,4},{3},{5,7}} => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 4
[6,4,3,5,1,2,7] => {{1,6},{2,4,5},{3},{7}} => {{1},{2,4},{3,5,6},{7}} => {{1,2,5,7},{3},{4,6}} => 7
[6,4,3,5,1,7,2] => {{1,6,7},{2,4,5},{3}} => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 4
[6,4,3,5,2,1,7] => {{1,6},{2,4,5},{3},{7}} => {{1},{2,4},{3,5,6},{7}} => {{1,2,5,7},{3},{4,6}} => 7
[6,4,3,5,2,7,1] => {{1,6,7},{2,4,5},{3}} => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 4
[6,4,3,5,7,1,2] => {{1,6},{2,4,5,7},{3}} => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 3
[6,4,3,5,7,2,1] => {{1,6},{2,4,5,7},{3}} => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 3
[6,4,3,7,1,2,5] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,3,7,1,5,2] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,3,7,2,1,5] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,3,7,2,5,1] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,3,7,5,1,2] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,3,7,5,2,1] => {{1,6},{2,4,7},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 3
[6,4,5,1,2,3,7] => {{1,6},{2,4},{3,5},{7}} => {{1,5,6},{2,4},{3},{7}} => {{1,2},{3},{4,7},{5,6}} => 3
[6,4,5,1,2,7,3] => {{1,6,7},{2,4},{3,5}} => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 2
[6,4,5,1,3,2,7] => {{1,6},{2,4},{3,5},{7}} => {{1,5,6},{2,4},{3},{7}} => {{1,2},{3},{4,7},{5,6}} => 3
[6,4,5,1,3,7,2] => {{1,6,7},{2,4},{3,5}} => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 2
[6,4,5,1,7,2,3] => {{1,6},{2,4},{3,5,7}} => {{1,5,6},{2,4},{3,7}} => {{1,5},{2,7},{3},{4,6}} => 3
[6,4,5,1,7,3,2] => {{1,6},{2,4},{3,5,7}} => {{1,5,6},{2,4},{3,7}} => {{1,5},{2,7},{3},{4,6}} => 3
[6,4,5,2,1,3,7] => {{1,6},{2,4},{3,5},{7}} => {{1,5,6},{2,4},{3},{7}} => {{1,2},{3},{4,7},{5,6}} => 3
[6,4,5,2,1,7,3] => {{1,6,7},{2,4},{3,5}} => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 2
[6,4,5,2,3,1,7] => {{1,6},{2,4},{3,5},{7}} => {{1,5,6},{2,4},{3},{7}} => {{1,2},{3},{4,7},{5,6}} => 3
[6,4,5,2,3,7,1] => {{1,6,7},{2,4},{3,5}} => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 2
[6,4,5,2,7,1,3] => {{1,6},{2,4},{3,5,7}} => {{1,5,6},{2,4},{3,7}} => {{1,5},{2,7},{3},{4,6}} => 3
[6,4,5,2,7,3,1] => {{1,6},{2,4},{3,5,7}} => {{1,5,6},{2,4},{3,7}} => {{1,5},{2,7},{3},{4,6}} => 3
[6,4,5,3,1,2,7] => {{1,6},{2,4},{3,5},{7}} => {{1,5,6},{2,4},{3},{7}} => {{1,2},{3},{4,7},{5,6}} => 3
[6,4,5,3,1,7,2] => {{1,6,7},{2,4},{3,5}} => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 2
[6,4,5,3,2,1,7] => {{1,6},{2,4},{3,5},{7}} => {{1,5,6},{2,4},{3},{7}} => {{1,2},{3},{4,7},{5,6}} => 3
[6,4,5,3,2,7,1] => {{1,6,7},{2,4},{3,5}} => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 2
[6,4,5,3,7,1,2] => {{1,6},{2,4},{3,5,7}} => {{1,5,6},{2,4},{3,7}} => {{1,5},{2,7},{3},{4,6}} => 3
[6,4,5,3,7,2,1] => {{1,6},{2,4},{3,5,7}} => {{1,5,6},{2,4},{3,7}} => {{1,5},{2,7},{3},{4,6}} => 3
[6,4,5,7,1,2,3] => {{1,6},{2,4,7},{3,5}} => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 3
[6,4,5,7,1,3,2] => {{1,6},{2,4,7},{3,5}} => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 3
[6,4,5,7,2,1,3] => {{1,6},{2,4,7},{3,5}} => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 3
[6,4,5,7,2,3,1] => {{1,6},{2,4,7},{3,5}} => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 3
[6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 3
[6,4,5,7,3,2,1] => {{1,6},{2,4,7},{3,5}} => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 3
[6,4,7,1,2,3,5] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,1,2,5,3] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,1,3,2,5] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,1,3,5,2] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,1,5,2,3] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,1,5,3,2] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,2,1,3,5] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,2,1,5,3] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,2,3,1,5] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,2,3,5,1] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,2,5,1,3] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,2,5,3,1] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,3,1,2,5] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,3,1,5,2] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,3,2,1,5] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,3,2,5,1] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,3,5,1,2] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,3,5,2,1] => {{1,6},{2,4},{3,7},{5}} => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 6
[6,4,7,5,1,2,3] => {{1,6},{2,4,5},{3,7}} => {{1,7},{2,4},{3,5,6}} => {{1},{2,5,7},{3},{4,6}} => 4
[6,4,7,5,1,3,2] => {{1,6},{2,4,5},{3,7}} => {{1,7},{2,4},{3,5,6}} => {{1},{2,5,7},{3},{4,6}} => 4
[6,4,7,5,2,1,3] => {{1,6},{2,4,5},{3,7}} => {{1,7},{2,4},{3,5,6}} => {{1},{2,5,7},{3},{4,6}} => 4
[6,4,7,5,2,3,1] => {{1,6},{2,4,5},{3,7}} => {{1,7},{2,4},{3,5,6}} => {{1},{2,5,7},{3},{4,6}} => 4
[6,4,7,5,3,1,2] => {{1,6},{2,4,5},{3,7}} => {{1,7},{2,4},{3,5,6}} => {{1},{2,5,7},{3},{4,6}} => 4
[6,4,7,5,3,2,1] => {{1,6},{2,4,5},{3,7}} => {{1,7},{2,4},{3,5,6}} => {{1},{2,5,7},{3},{4,6}} => 4
[6,5,1,2,3,4,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,1,2,3,7,4] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,1,2,4,3,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,1,2,4,7,3] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,1,2,7,3,4] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,1,2,7,4,3] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,1,3,2,4,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,1,3,2,7,4] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,1,3,4,2,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,1,3,4,7,2] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,1,3,7,2,4] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,1,3,7,4,2] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,1,4,2,3,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,1,4,2,7,3] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,1,4,3,2,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,1,4,3,7,2] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,1,4,7,2,3] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,1,4,7,3,2] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,1,7,2,3,4] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,1,7,2,4,3] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,1,7,3,2,4] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,1,7,3,4,2] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,1,7,4,2,3] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,1,7,4,3,2] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,2,1,3,4,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,2,1,3,7,4] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,2,1,4,3,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,2,1,4,7,3] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,2,1,7,3,4] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,2,1,7,4,3] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,2,3,1,4,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,2,3,1,7,4] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,2,3,4,1,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,2,3,4,7,1] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,2,3,7,1,4] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,2,3,7,4,1] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,2,4,1,3,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,2,4,1,7,3] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,2,4,3,1,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,2,4,3,7,1] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,2,4,7,1,3] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,2,4,7,3,1] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,2,7,1,3,4] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,2,7,1,4,3] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,2,7,3,1,4] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,2,7,3,4,1] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,2,7,4,1,3] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,2,7,4,3,1] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,3,1,2,4,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,3,1,2,7,4] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,3,1,4,2,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,3,1,4,7,2] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,3,1,7,2,4] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,3,1,7,4,2] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,3,2,1,4,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,3,2,1,7,4] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,3,2,4,1,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,3,2,4,7,1] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,3,2,7,1,4] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,3,2,7,4,1] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,3,4,1,2,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,3,4,1,7,2] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,3,4,2,1,7] => {{1,6},{2,5},{3},{4},{7}} => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 7
[6,5,3,4,2,7,1] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 4
[6,5,3,4,7,1,2] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,3,4,7,2,1] => {{1,6},{2,5,7},{3},{4}} => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 7
[6,5,3,7,1,2,4] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,3,7,1,4,2] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,3,7,2,1,4] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,3,7,2,4,1] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,3,7,4,1,2] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,3,7,4,2,1] => {{1,6},{2,5},{3},{4,7}} => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 4
[6,5,4,1,2,3,7] => {{1,6},{2,5},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} => {{1,2,5},{3},{4,6,7}} => 6
[6,5,4,1,2,7,3] => {{1,6,7},{2,5},{3,4}} => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 4
[6,5,4,1,3,2,7] => {{1,6},{2,5},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} => {{1,2,5},{3},{4,6,7}} => 6
[6,5,4,1,3,7,2] => {{1,6,7},{2,5},{3,4}} => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 4
[6,5,4,1,7,2,3] => {{1,6},{2,5,7},{3,4}} => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 4
[6,5,4,1,7,3,2] => {{1,6},{2,5,7},{3,4}} => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 4
[6,5,4,2,1,3,7] => {{1,6},{2,5},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} => {{1,2,5},{3},{4,6,7}} => 6
[6,5,4,2,1,7,3] => {{1,6,7},{2,5},{3,4}} => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 4
[6,5,4,2,3,1,7] => {{1,6},{2,5},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} => {{1,2,5},{3},{4,6,7}} => 6
[6,5,4,2,3,7,1] => {{1,6,7},{2,5},{3,4}} => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 4
[6,5,4,2,7,1,3] => {{1,6},{2,5,7},{3,4}} => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 4
[6,5,4,2,7,3,1] => {{1,6},{2,5,7},{3,4}} => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 4
[6,5,4,3,1,2,7] => {{1,6},{2,5},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} => {{1,2,5},{3},{4,6,7}} => 6
[6,5,4,3,1,7,2] => {{1,6,7},{2,5},{3,4}} => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 4
[6,5,4,3,2,1,7] => {{1,6},{2,5},{3,4},{7}} => {{1,4},{2},{3,5,6},{7}} => {{1,2,5},{3},{4,6,7}} => 6
[6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 4
[6,5,4,3,7,1,2] => {{1,6},{2,5,7},{3,4}} => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 4
[6,5,4,3,7,2,1] => {{1,6},{2,5,7},{3,4}} => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 4
[6,5,4,7,1,2,3] => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,5,6}} => {{1,6},{2,5},{3},{4,7}} => 3
[6,5,4,7,1,3,2] => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,5,6}} => {{1,6},{2,5},{3},{4,7}} => 3
[6,5,4,7,2,1,3] => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,5,6}} => {{1,6},{2,5},{3},{4,7}} => 3
[6,5,4,7,2,3,1] => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,5,6}} => {{1,6},{2,5},{3},{4,7}} => 3
[6,5,4,7,3,1,2] => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,5,6}} => {{1,6},{2,5},{3},{4,7}} => 3
[6,5,4,7,3,2,1] => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,5,6}} => {{1,6},{2,5},{3},{4,7}} => 3
[6,5,7,1,2,3,4] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,1,2,4,3] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,1,3,2,4] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,1,3,4,2] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,1,4,2,3] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,1,4,3,2] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,2,1,3,4] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,2,1,4,3] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,2,3,1,4] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,2,3,4,1] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,2,4,1,3] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,2,4,3,1] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,3,1,2,4] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,3,1,4,2] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,3,2,1,4] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,3,2,4,1] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,3,4,1,2] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,3,4,2,1] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,4,1,2,3] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,4,1,3,2] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,4,2,1,3] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,4,2,3,1] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,4,3,1,2] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,5,7,4,3,2,1] => {{1,6},{2,5},{3,7},{4}} => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 3
[6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,2,3,5,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,2,4,3,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,2,4,5,3] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,2,5,3,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,2,5,4,3] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,3,2,4,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,3,2,5,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,3,4,2,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,3,4,5,2] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,3,5,2,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,3,5,4,2] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,4,2,3,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,4,2,5,3] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,4,3,2,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,4,3,5,2] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,4,5,2,3] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,4,5,3,2] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,1,5,2,3,4] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,1,5,2,4,3] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,1,5,3,2,4] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,1,5,3,4,2] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,1,5,4,2,3] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,1,5,4,3,2] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,2,1,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,1,3,5,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,1,4,3,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,1,4,5,3] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,1,5,3,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,1,5,4,3] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,3,1,4,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,3,1,5,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,3,4,1,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,3,4,5,1] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,3,5,1,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,3,5,4,1] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,4,1,3,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,4,1,5,3] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,4,3,1,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,4,3,5,1] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,4,5,1,3] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,4,5,3,1] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,2,5,1,3,4] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,2,5,1,4,3] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,2,5,3,1,4] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,2,5,3,4,1] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,2,5,4,1,3] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,2,5,4,3,1] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,3,1,2,4,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,1,2,5,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,1,4,2,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,1,4,5,2] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,1,5,2,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,1,5,4,2] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,2,1,4,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,2,1,5,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,2,4,1,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,2,4,5,1] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,2,5,1,4] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,2,5,4,1] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,4,1,2,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,4,1,5,2] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,4,2,1,5] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,4,2,5,1] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,4,5,1,2] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,4,5,2,1] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 7
[6,7,3,5,1,2,4] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,3,5,1,4,2] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,3,5,2,1,4] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,3,5,2,4,1] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,3,5,4,1,2] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,3,5,4,2,1] => {{1,6},{2,7},{3},{4,5}} => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 7
[6,7,4,1,2,3,5] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,1,2,5,3] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,1,3,2,5] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,1,3,5,2] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,1,5,2,3] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,1,5,3,2] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,2,1,3,5] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,2,1,5,3] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,2,3,1,5] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,2,3,5,1] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,2,5,1,3] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,2,5,3,1] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,3,1,2,5] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,3,1,5,2] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,3,2,1,5] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,3,2,5,1] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,3,5,1,2] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,3,5,2,1] => {{1,6},{2,7},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 4
[6,7,4,5,1,2,3] => {{1,6},{2,7},{3,4,5}} => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 4
[6,7,4,5,1,3,2] => {{1,6},{2,7},{3,4,5}} => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 4
[6,7,4,5,2,1,3] => {{1,6},{2,7},{3,4,5}} => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 4
[6,7,4,5,2,3,1] => {{1,6},{2,7},{3,4,5}} => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 4
[6,7,4,5,3,1,2] => {{1,6},{2,7},{3,4,5}} => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 4
[6,7,4,5,3,2,1] => {{1,6},{2,7},{3,4,5}} => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 4
[6,7,5,1,2,3,4] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,1,2,4,3] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,1,3,2,4] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,1,3,4,2] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,1,4,2,3] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,1,4,3,2] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,2,1,3,4] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,2,1,4,3] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,2,3,1,4] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,2,3,4,1] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,2,4,1,3] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,2,4,3,1] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,3,1,2,4] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,3,1,4,2] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,3,2,1,4] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,3,2,4,1] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,3,4,1,2] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,3,4,2,1] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,4,1,2,3] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,4,1,3,2] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,4,2,1,3] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,4,2,3,1] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,4,3,1,2] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[6,7,5,4,3,2,1] => {{1,6},{2,7},{3,5},{4}} => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 6
[7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,2,3,4,6,5] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,2,3,5,4,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,2,3,5,6,4] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,2,3,6,4,5] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,1,2,3,6,5,4] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,1,2,4,3,5,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,2,4,3,6,5] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,2,4,5,3,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,2,4,5,6,3] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,2,4,6,3,5] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,1,2,4,6,5,3] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,1,2,5,3,4,6] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,1,2,5,3,6,4] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,1,2,5,4,3,6] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,1,2,5,4,6,3] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,1,2,5,6,3,4] => {{1,7},{2},{3},{4,5,6}} => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 7
[7,1,2,5,6,4,3] => {{1,7},{2},{3},{4,5,6}} => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 7
[7,1,2,6,3,4,5] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,2,6,3,5,4] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,2,6,4,3,5] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,2,6,4,5,3] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,2,6,5,3,4] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,2,6,5,4,3] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,3,2,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,3,2,4,6,5] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,3,2,5,4,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,3,2,5,6,4] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,3,2,6,4,5] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,1,3,2,6,5,4] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,1,3,4,2,5,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,3,4,2,6,5] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,3,4,5,2,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,3,4,5,6,2] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,1,3,4,6,2,5] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,1,3,4,6,5,2] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,1,3,5,2,4,6] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,1,3,5,2,6,4] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,1,3,5,4,2,6] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,1,3,5,4,6,2] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,1,3,5,6,2,4] => {{1,7},{2},{3},{4,5,6}} => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 7
[7,1,3,5,6,4,2] => {{1,7},{2},{3},{4,5,6}} => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 7
[7,1,3,6,2,4,5] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,3,6,2,5,4] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,3,6,4,2,5] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,3,6,4,5,2] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,3,6,5,2,4] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,3,6,5,4,2] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,1,4,2,3,5,6] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,1,4,2,3,6,5] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,1,4,2,5,3,6] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,1,4,2,5,6,3] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,1,4,2,6,3,5] => {{1,7},{2},{3,4},{5,6}} => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 6
[7,1,4,2,6,5,3] => {{1,7},{2},{3,4},{5,6}} => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 6
[7,1,4,3,2,5,6] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,1,4,3,2,6,5] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,1,4,3,5,2,6] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,1,4,3,5,6,2] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,1,4,3,6,2,5] => {{1,7},{2},{3,4},{5,6}} => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 6
[7,1,4,3,6,5,2] => {{1,7},{2},{3,4},{5,6}} => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 6
[7,1,4,5,2,3,6] => {{1,7},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}} => 7
[7,1,4,5,2,6,3] => {{1,7},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}} => 7
[7,1,4,5,3,2,6] => {{1,7},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}} => 7
[7,1,4,5,3,6,2] => {{1,7},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}} => 7
[7,1,4,5,6,2,3] => {{1,7},{2},{3,4,5,6}} => {{1,4},{2,5},{3,6,7}} => {{1,5},{2},{3,6},{4,7}} => 3
[7,1,4,5,6,3,2] => {{1,7},{2},{3,4,5,6}} => {{1,4},{2,5},{3,6,7}} => {{1,5},{2},{3,6},{4,7}} => 3
[7,1,4,6,2,3,5] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,1,4,6,2,5,3] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,1,4,6,3,2,5] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,1,4,6,3,5,2] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,1,4,6,5,2,3] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,1,4,6,5,3,2] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,1,5,2,3,4,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,2,3,6,4] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,2,4,3,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,2,4,6,3] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,2,6,3,4] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,1,5,2,6,4,3] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,1,5,3,2,4,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,3,2,6,4] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,3,4,2,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,3,4,6,2] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,3,6,2,4] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,1,5,3,6,4,2] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,1,5,4,2,3,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,4,2,6,3] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,4,3,2,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,4,3,6,2] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,1,5,4,6,2,3] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,1,5,4,6,3,2] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,1,5,6,2,3,4] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,1,5,6,2,4,3] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,1,5,6,3,2,4] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,1,5,6,3,4,2] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,1,5,6,4,2,3] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,1,5,6,4,3,2] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,1,6,2,3,4,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,2,3,5,4] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,2,4,3,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,2,4,5,3] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,2,5,3,4] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,2,5,4,3] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,3,2,4,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,3,2,5,4] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,3,4,2,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,3,4,5,2] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,3,5,2,4] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,3,5,4,2] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,4,2,3,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,4,2,5,3] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,4,3,2,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,4,3,5,2] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,4,5,2,3] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,4,5,3,2] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,1,6,5,2,3,4] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,1,6,5,2,4,3] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,1,6,5,3,2,4] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,1,6,5,3,4,2] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,1,6,5,4,2,3] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,1,6,5,4,3,2] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,2,1,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,1,3,4,6,5] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,1,3,5,4,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,1,3,5,6,4] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,1,3,6,4,5] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,2,1,3,6,5,4] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,2,1,4,3,5,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,1,4,3,6,5] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,1,4,5,3,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,1,4,5,6,3] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,1,4,6,3,5] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,2,1,4,6,5,3] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,2,1,5,3,4,6] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,2,1,5,3,6,4] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,2,1,5,4,3,6] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,2,1,5,4,6,3] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,2,1,5,6,3,4] => {{1,7},{2},{3},{4,5,6}} => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 7
[7,2,1,5,6,4,3] => {{1,7},{2},{3},{4,5,6}} => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 7
[7,2,1,6,3,4,5] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,1,6,3,5,4] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,1,6,4,3,5] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,1,6,4,5,3] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,1,6,5,3,4] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,1,6,5,4,3] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,3,1,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,3,1,4,6,5] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,3,1,5,4,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,3,1,5,6,4] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,3,1,6,4,5] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,2,3,1,6,5,4] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,2,3,4,1,5,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,3,4,1,6,5] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,3,4,5,1,6] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,3,4,5,6,1] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 15
[7,2,3,4,6,1,5] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,2,3,4,6,5,1] => {{1,7},{2},{3},{4},{5,6}} => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 10
[7,2,3,5,1,4,6] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,2,3,5,1,6,4] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,2,3,5,4,1,6] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,2,3,5,4,6,1] => {{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 7
[7,2,3,5,6,1,4] => {{1,7},{2},{3},{4,5,6}} => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 7
[7,2,3,5,6,4,1] => {{1,7},{2},{3},{4,5,6}} => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 7
[7,2,3,6,1,4,5] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,3,6,1,5,4] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,3,6,4,1,5] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,3,6,4,5,1] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,3,6,5,1,4] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,3,6,5,4,1] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 7
[7,2,4,1,3,5,6] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,2,4,1,3,6,5] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,2,4,1,5,3,6] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,2,4,1,5,6,3] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,2,4,1,6,3,5] => {{1,7},{2},{3,4},{5,6}} => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 6
[7,2,4,1,6,5,3] => {{1,7},{2},{3,4},{5,6}} => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 6
[7,2,4,3,1,5,6] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,2,4,3,1,6,5] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,2,4,3,5,1,6] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,2,4,3,5,6,1] => {{1,7},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 6
[7,2,4,3,6,1,5] => {{1,7},{2},{3,4},{5,6}} => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 6
[7,2,4,3,6,5,1] => {{1,7},{2},{3,4},{5,6}} => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 6
[7,2,4,5,1,3,6] => {{1,7},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}} => 7
[7,2,4,5,1,6,3] => {{1,7},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}} => 7
[7,2,4,5,3,1,6] => {{1,7},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}} => 7
[7,2,4,5,3,6,1] => {{1,7},{2},{3,4,5},{6}} => {{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}} => 7
[7,2,4,5,6,1,3] => {{1,7},{2},{3,4,5,6}} => {{1,4},{2,5},{3,6,7}} => {{1,5},{2},{3,6},{4,7}} => 3
[7,2,4,5,6,3,1] => {{1,7},{2},{3,4,5,6}} => {{1,4},{2,5},{3,6,7}} => {{1,5},{2},{3,6},{4,7}} => 3
[7,2,4,6,1,3,5] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,2,4,6,1,5,3] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,2,4,6,3,1,5] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,2,4,6,3,5,1] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,2,4,6,5,1,3] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,2,4,6,5,3,1] => {{1,7},{2},{3,4,6},{5}} => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 7
[7,2,5,1,3,4,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,1,3,6,4] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,1,4,3,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,1,4,6,3] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,1,6,3,4] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,2,5,1,6,4,3] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,2,5,3,1,4,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,3,1,6,4] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,3,4,1,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,3,4,6,1] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,3,6,1,4] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,2,5,3,6,4,1] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,2,5,4,1,3,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,4,1,6,3] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,4,3,1,6] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,4,3,6,1] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 6
[7,2,5,4,6,1,3] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,2,5,4,6,3,1] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 7
[7,2,5,6,1,3,4] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,2,5,6,1,4,3] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,2,5,6,3,1,4] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,2,5,6,3,4,1] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,2,5,6,4,1,3] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,2,5,6,4,3,1] => {{1,7},{2},{3,5},{4,6}} => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 4
[7,2,6,1,3,4,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,1,3,5,4] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,1,4,3,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,1,4,5,3] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,1,5,3,4] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,1,5,4,3] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,3,1,4,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,3,1,5,4] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,3,4,1,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,3,4,5,1] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,3,5,1,4] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,3,5,4,1] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,4,1,3,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,4,1,5,3] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,4,3,1,5] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,4,3,5,1] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,4,5,1,3] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,4,5,3,1] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 6
[7,2,6,5,1,3,4] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,2,6,5,1,4,3] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,2,6,5,3,1,4] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,2,6,5,3,4,1] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,2,6,5,4,1,3] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,2,6,5,4,3,1] => {{1,7},{2},{3,6},{4,5}} => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 6
[7,3,1,2,4,5,6] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,1,2,4,6,5] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,1,2,5,4,6] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,1,2,5,6,4] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,1,2,6,4,5] => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 7
[7,3,1,2,6,5,4] => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 7
[7,3,1,4,2,5,6] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,1,4,2,6,5] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,1,4,5,2,6] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,1,4,5,6,2] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,1,4,6,2,5] => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 7
[7,3,1,4,6,5,2] => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 7
[7,3,1,5,2,4,6] => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}} => 6
[7,3,1,5,2,6,4] => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}} => 6
[7,3,1,5,4,2,6] => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}} => 6
[7,3,1,5,4,6,2] => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}} => 6
[7,3,1,5,6,2,4] => {{1,7},{2,3},{4,5,6}} => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 4
[7,3,1,5,6,4,2] => {{1,7},{2,3},{4,5,6}} => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 4
[7,3,1,6,2,4,5] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,1,6,2,5,4] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,1,6,4,2,5] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,1,6,4,5,2] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,1,6,5,2,4] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,1,6,5,4,2] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,2,1,4,5,6] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,2,1,4,6,5] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,2,1,5,4,6] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,2,1,5,6,4] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,2,1,6,4,5] => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 7
[7,3,2,1,6,5,4] => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 7
[7,3,2,4,1,5,6] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,2,4,1,6,5] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,2,4,5,1,6] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,2,4,5,6,1] => {{1,7},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 7
[7,3,2,4,6,1,5] => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 7
[7,3,2,4,6,5,1] => {{1,7},{2,3},{4},{5,6}} => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 7
[7,3,2,5,1,4,6] => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}} => 6
[7,3,2,5,1,6,4] => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}} => 6
[7,3,2,5,4,1,6] => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}} => 6
[7,3,2,5,4,6,1] => {{1,7},{2,3},{4,5},{6}} => {{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}} => 6
[7,3,2,5,6,1,4] => {{1,7},{2,3},{4,5,6}} => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 4
[7,3,2,5,6,4,1] => {{1,7},{2,3},{4,5,6}} => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 4
[7,3,2,6,1,4,5] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,2,6,1,5,4] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,2,6,4,1,5] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,2,6,4,5,1] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,2,6,5,1,4] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,2,6,5,4,1] => {{1,7},{2,3},{4,6},{5}} => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 4
[7,3,4,1,2,5,6] => {{1,7},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}} => 7
[7,3,4,1,2,6,5] => {{1,7},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}} => 7
[7,3,4,1,5,2,6] => {{1,7},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}} => 7
[7,3,4,1,5,6,2] => {{1,7},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}} => 7
[7,3,4,1,6,2,5] => {{1,7},{2,3,4},{5,6}} => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 4
[7,3,4,1,6,5,2] => {{1,7},{2,3,4},{5,6}} => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 4
[7,3,4,2,1,5,6] => {{1,7},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}} => 7
[7,3,4,2,1,6,5] => {{1,7},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}} => 7
[7,3,4,2,5,1,6] => {{1,7},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}} => 7
[7,3,4,2,5,6,1] => {{1,7},{2,3,4},{5},{6}} => {{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}} => 7
[7,3,4,2,6,1,5] => {{1,7},{2,3,4},{5,6}} => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 4
[7,3,4,2,6,5,1] => {{1,7},{2,3,4},{5,6}} => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 4
[7,3,4,5,1,2,6] => {{1,7},{2,3,4,5},{6}} => {{1,3,5},{2,4},{6,7}} => {{1,3},{2},{4,6},{5,7}} => 3
[7,3,4,5,1,6,2] => {{1,7},{2,3,4,5},{6}} => {{1,3,5},{2,4},{6,7}} => {{1,3},{2},{4,6},{5,7}} => 3
[7,3,4,5,2,1,6] => {{1,7},{2,3,4,5},{6}} => {{1,3,5},{2,4},{6,7}} => {{1,3},{2},{4,6},{5,7}} => 3
[7,3,4,5,2,6,1] => {{1,7},{2,3,4,5},{6}} => {{1,3,5},{2,4},{6,7}} => {{1,3},{2},{4,6},{5,7}} => 3
[7,3,4,5,6,1,2] => {{1,7},{2,3,4,5,6}} => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 6
[7,3,4,5,6,2,1] => {{1,7},{2,3,4,5,6}} => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 6
[7,3,4,6,1,2,5] => {{1,7},{2,3,4,6},{5}} => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 3
[7,3,4,6,1,5,2] => {{1,7},{2,3,4,6},{5}} => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 3
[7,3,4,6,2,1,5] => {{1,7},{2,3,4,6},{5}} => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 3
[7,3,4,6,2,5,1] => {{1,7},{2,3,4,6},{5}} => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 3
[7,3,4,6,5,1,2] => {{1,7},{2,3,4,6},{5}} => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 3
[7,3,4,6,5,2,1] => {{1,7},{2,3,4,6},{5}} => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 3
[7,3,5,1,2,4,6] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,1,2,6,4] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,1,4,2,6] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,1,4,6,2] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,1,6,2,4] => {{1,7},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 3
[7,3,5,1,6,4,2] => {{1,7},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 3
[7,3,5,2,1,4,6] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,2,1,6,4] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,2,4,1,6] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,2,4,6,1] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,2,6,1,4] => {{1,7},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 3
[7,3,5,2,6,4,1] => {{1,7},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 3
[7,3,5,4,1,2,6] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,4,1,6,2] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,4,2,1,6] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,4,2,6,1] => {{1,7},{2,3,5},{4},{6}} => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 3
[7,3,5,4,6,1,2] => {{1,7},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 3
[7,3,5,4,6,2,1] => {{1,7},{2,3,5,6},{4}} => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 3
[7,3,5,6,1,2,4] => {{1,7},{2,3,5},{4,6}} => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 3
[7,3,5,6,1,4,2] => {{1,7},{2,3,5},{4,6}} => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 3
[7,3,5,6,2,1,4] => {{1,7},{2,3,5},{4,6}} => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 3
[7,3,5,6,2,4,1] => {{1,7},{2,3,5},{4,6}} => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 3
[7,3,5,6,4,1,2] => {{1,7},{2,3,5},{4,6}} => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 3
[7,3,5,6,4,2,1] => {{1,7},{2,3,5},{4,6}} => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 3
[7,3,6,1,2,4,5] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,1,2,5,4] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,1,4,2,5] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,1,4,5,2] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,1,5,2,4] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,1,5,4,2] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,2,1,4,5] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,2,1,5,4] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,2,4,1,5] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,2,4,5,1] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,2,5,1,4] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,2,5,4,1] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,4,1,2,5] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,4,1,5,2] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,4,2,1,5] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,4,2,5,1] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,4,5,1,2] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,4,5,2,1] => {{1,7},{2,3,6},{4},{5}} => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 3
[7,3,6,5,1,2,4] => {{1,7},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6,7}} => {{1,4},{2},{3,6},{5,7}} => 3
[7,3,6,5,1,4,2] => {{1,7},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6,7}} => {{1,4},{2},{3,6},{5,7}} => 3
[7,3,6,5,2,1,4] => {{1,7},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6,7}} => {{1,4},{2},{3,6},{5,7}} => 3
[7,3,6,5,2,4,1] => {{1,7},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6,7}} => {{1,4},{2},{3,6},{5,7}} => 3
[7,3,6,5,4,1,2] => {{1,7},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6,7}} => {{1,4},{2},{3,6},{5,7}} => 3
[7,3,6,5,4,2,1] => {{1,7},{2,3,6},{4,5}} => {{1,3},{2,5},{4,6,7}} => {{1,4},{2},{3,6},{5,7}} => 3
[7,4,1,2,3,5,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,1,2,3,6,5] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,1,2,5,3,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,1,2,5,6,3] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,1,2,6,3,5] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,1,2,6,5,3] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,1,3,2,5,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,1,3,2,6,5] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,1,3,5,2,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,1,3,5,6,2] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,1,3,6,2,5] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,1,3,6,5,2] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,1,5,2,3,6] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,1,5,2,6,3] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,1,5,3,2,6] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,1,5,3,6,2] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,1,5,6,2,3] => {{1,7},{2,4,5,6},{3}} => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 3
[7,4,1,5,6,3,2] => {{1,7},{2,4,5,6},{3}} => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 3
[7,4,1,6,2,3,5] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,1,6,2,5,3] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,1,6,3,2,5] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,1,6,3,5,2] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,1,6,5,2,3] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,1,6,5,3,2] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,2,1,3,5,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,2,1,3,6,5] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,2,1,5,3,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,2,1,5,6,3] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,2,1,6,3,5] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,2,1,6,5,3] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,2,3,1,5,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,2,3,1,6,5] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,2,3,5,1,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,2,3,5,6,1] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,2,3,6,1,5] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,2,3,6,5,1] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,2,5,1,3,6] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,2,5,1,6,3] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,2,5,3,1,6] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,2,5,3,6,1] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,2,5,6,1,3] => {{1,7},{2,4,5,6},{3}} => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 3
[7,4,2,5,6,3,1] => {{1,7},{2,4,5,6},{3}} => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 3
[7,4,2,6,1,3,5] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,2,6,1,5,3] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,2,6,3,1,5] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,2,6,3,5,1] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,2,6,5,1,3] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,2,6,5,3,1] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,3,1,2,5,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,3,1,2,6,5] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,3,1,5,2,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,3,1,5,6,2] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,3,1,6,2,5] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,3,1,6,5,2] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,3,2,1,5,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,3,2,1,6,5] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,3,2,5,1,6] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,3,2,5,6,1] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 7
[7,4,3,2,6,1,5] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,3,2,6,5,1] => {{1,7},{2,4},{3},{5,6}} => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 4
[7,4,3,5,1,2,6] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,3,5,1,6,2] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,3,5,2,1,6] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,3,5,2,6,1] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 7
[7,4,3,5,6,1,2] => {{1,7},{2,4,5,6},{3}} => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 3
[7,4,3,5,6,2,1] => {{1,7},{2,4,5,6},{3}} => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 3
[7,4,3,6,1,2,5] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,3,6,1,5,2] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,3,6,2,1,5] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,3,6,2,5,1] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,3,6,5,1,2] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,3,6,5,2,1] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,4,5,1,2,3,6] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,1,2,6,3] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,1,3,2,6] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,1,3,6,2] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,1,6,2,3] => {{1,7},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6,7}} => {{1,5},{2},{3,7},{4,6}} => 3
[7,4,5,1,6,3,2] => {{1,7},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6,7}} => {{1,5},{2},{3,7},{4,6}} => 3
[7,4,5,2,1,3,6] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,2,1,6,3] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,2,3,1,6] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,2,3,6,1] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,2,6,1,3] => {{1,7},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6,7}} => {{1,5},{2},{3,7},{4,6}} => 3
[7,4,5,2,6,3,1] => {{1,7},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6,7}} => {{1,5},{2},{3,7},{4,6}} => 3
[7,4,5,3,1,2,6] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,3,1,6,2] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,3,2,1,6] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,3,2,6,1] => {{1,7},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 3
[7,4,5,3,6,1,2] => {{1,7},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6,7}} => {{1,5},{2},{3,7},{4,6}} => 3
[7,4,5,3,6,2,1] => {{1,7},{2,4},{3,5,6}} => {{1,5},{2,4},{3,6,7}} => {{1,5},{2},{3,7},{4,6}} => 3
[7,4,5,6,1,2,3] => {{1,7},{2,4,6},{3,5}} => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 3
[7,4,5,6,1,3,2] => {{1,7},{2,4,6},{3,5}} => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 3
[7,4,5,6,2,1,3] => {{1,7},{2,4,6},{3,5}} => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 3
[7,4,5,6,2,3,1] => {{1,7},{2,4,6},{3,5}} => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 3
[7,4,5,6,3,1,2] => {{1,7},{2,4,6},{3,5}} => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 3
[7,4,5,6,3,2,1] => {{1,7},{2,4,6},{3,5}} => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 3
[7,4,6,1,2,3,5] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,1,2,5,3] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,1,3,2,5] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,1,3,5,2] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,1,5,2,3] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,1,5,3,2] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,2,1,3,5] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,2,1,5,3] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,2,3,1,5] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,2,3,5,1] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,2,5,1,3] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,2,5,3,1] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,3,1,2,5] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,3,1,5,2] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,3,2,1,5] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,3,2,5,1] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,3,5,1,2] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,3,5,2,1] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 6
[7,4,6,5,1,2,3] => {{1,7},{2,4,5},{3,6}} => {{1,6,7},{2,4},{3,5}} => {{1},{2},{3,5,7},{4,6}} => 4
[7,4,6,5,1,3,2] => {{1,7},{2,4,5},{3,6}} => {{1,6,7},{2,4},{3,5}} => {{1},{2},{3,5,7},{4,6}} => 4
[7,4,6,5,2,1,3] => {{1,7},{2,4,5},{3,6}} => {{1,6,7},{2,4},{3,5}} => {{1},{2},{3,5,7},{4,6}} => 4
[7,4,6,5,2,3,1] => {{1,7},{2,4,5},{3,6}} => {{1,6,7},{2,4},{3,5}} => {{1},{2},{3,5,7},{4,6}} => 4
[7,4,6,5,3,1,2] => {{1,7},{2,4,5},{3,6}} => {{1,6,7},{2,4},{3,5}} => {{1},{2},{3,5,7},{4,6}} => 4
[7,4,6,5,3,2,1] => {{1,7},{2,4,5},{3,6}} => {{1,6,7},{2,4},{3,5}} => {{1},{2},{3,5,7},{4,6}} => 4
[7,5,1,2,3,4,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,2,3,6,4] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,2,4,3,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,2,4,6,3] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,2,6,3,4] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,1,2,6,4,3] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,1,3,2,4,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,3,2,6,4] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,3,4,2,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,3,4,6,2] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,3,6,2,4] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,1,3,6,4,2] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,1,4,2,3,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,4,2,6,3] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,4,3,2,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,4,3,6,2] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,1,4,6,2,3] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,1,4,6,3,2] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,1,6,2,3,4] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,1,6,2,4,3] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,1,6,3,2,4] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,1,6,3,4,2] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,1,6,4,2,3] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,1,6,4,3,2] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,2,1,3,4,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,1,3,6,4] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,1,4,3,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,1,4,6,3] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,1,6,3,4] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,2,1,6,4,3] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,2,3,1,4,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,3,1,6,4] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,3,4,1,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,3,4,6,1] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,3,6,1,4] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,2,3,6,4,1] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,2,4,1,3,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,4,1,6,3] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,4,3,1,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,4,3,6,1] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,2,4,6,1,3] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,2,4,6,3,1] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,2,6,1,3,4] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,2,6,1,4,3] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,2,6,3,1,4] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,2,6,3,4,1] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,2,6,4,1,3] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,2,6,4,3,1] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,3,1,2,4,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,1,2,6,4] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,1,4,2,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,1,4,6,2] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,1,6,2,4] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,3,1,6,4,2] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,3,2,1,4,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,2,1,6,4] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,2,4,1,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,2,4,6,1] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,2,6,1,4] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,3,2,6,4,1] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,3,4,1,2,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,4,1,6,2] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,4,2,1,6] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,4,2,6,1] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 7
[7,5,3,4,6,1,2] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,3,4,6,2,1] => {{1,7},{2,5,6},{3},{4}} => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 7
[7,5,3,6,1,2,4] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,3,6,1,4,2] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,3,6,2,1,4] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,3,6,2,4,1] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,3,6,4,1,2] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,3,6,4,2,1] => {{1,7},{2,5},{3},{4,6}} => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 4
[7,5,4,1,2,3,6] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,1,2,6,3] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,1,3,2,6] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,1,3,6,2] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,1,6,2,3] => {{1,7},{2,5,6},{3,4}} => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 4
[7,5,4,1,6,3,2] => {{1,7},{2,5,6},{3,4}} => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 4
[7,5,4,2,1,3,6] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,2,1,6,3] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,2,3,1,6] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,2,3,6,1] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,2,6,1,3] => {{1,7},{2,5,6},{3,4}} => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 4
[7,5,4,2,6,3,1] => {{1,7},{2,5,6},{3,4}} => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 4
[7,5,4,3,1,2,6] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,3,1,6,2] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,3,2,1,6] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,3,2,6,1] => {{1,7},{2,5},{3,4},{6}} => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 6
[7,5,4,3,6,1,2] => {{1,7},{2,5,6},{3,4}} => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 4
[7,5,4,3,6,2,1] => {{1,7},{2,5,6},{3,4}} => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 4
[7,5,4,6,1,2,3] => {{1,7},{2,5},{3,4,6}} => {{1,4},{2,6,7},{3,5}} => {{1,6},{2},{3,5},{4,7}} => 3
[7,5,4,6,1,3,2] => {{1,7},{2,5},{3,4,6}} => {{1,4},{2,6,7},{3,5}} => {{1,6},{2},{3,5},{4,7}} => 3
[7,5,4,6,2,1,3] => {{1,7},{2,5},{3,4,6}} => {{1,4},{2,6,7},{3,5}} => {{1,6},{2},{3,5},{4,7}} => 3
[7,5,4,6,2,3,1] => {{1,7},{2,5},{3,4,6}} => {{1,4},{2,6,7},{3,5}} => {{1,6},{2},{3,5},{4,7}} => 3
[7,5,4,6,3,1,2] => {{1,7},{2,5},{3,4,6}} => {{1,4},{2,6,7},{3,5}} => {{1,6},{2},{3,5},{4,7}} => 3
[7,5,4,6,3,2,1] => {{1,7},{2,5},{3,4,6}} => {{1,4},{2,6,7},{3,5}} => {{1,6},{2},{3,5},{4,7}} => 3
[7,5,6,1,2,3,4] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,1,2,4,3] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,1,3,2,4] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,1,3,4,2] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,1,4,2,3] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,1,4,3,2] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,2,1,3,4] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,2,1,4,3] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,2,3,1,4] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,2,3,4,1] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,2,4,1,3] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,2,4,3,1] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,3,1,2,4] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,3,1,4,2] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,3,2,1,4] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,3,2,4,1] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,3,4,1,2] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,3,4,2,1] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,4,1,2,3] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,4,1,3,2] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,4,2,1,3] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,4,2,3,1] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,4,3,1,2] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,5,6,4,3,2,1] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 3
[7,6,1,2,3,4,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,2,3,5,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,2,4,3,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,2,4,5,3] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,2,5,3,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,2,5,4,3] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,3,2,4,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,3,2,5,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,3,4,2,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,3,4,5,2] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,3,5,2,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,3,5,4,2] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,4,2,3,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,4,2,5,3] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,4,3,2,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,4,3,5,2] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,4,5,2,3] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,4,5,3,2] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,1,5,2,3,4] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,1,5,2,4,3] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,1,5,3,2,4] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,1,5,3,4,2] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,1,5,4,2,3] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,1,5,4,3,2] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,2,1,3,4,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,1,3,5,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,1,4,3,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,1,4,5,3] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,1,5,3,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,1,5,4,3] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,3,1,4,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,3,1,5,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,3,4,1,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,3,4,5,1] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,3,5,1,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,3,5,4,1] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,4,1,3,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,4,1,5,3] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,4,3,1,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,4,3,5,1] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,4,5,1,3] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,4,5,3,1] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,2,5,1,3,4] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,2,5,1,4,3] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,2,5,3,1,4] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,2,5,3,4,1] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,2,5,4,1,3] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,2,5,4,3,1] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,3,1,2,4,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,1,2,5,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,1,4,2,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,1,4,5,2] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,1,5,2,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,1,5,4,2] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,2,1,4,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,2,1,5,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,2,4,1,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,2,4,5,1] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,2,5,1,4] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,2,5,4,1] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,4,1,2,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,4,1,5,2] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,4,2,1,5] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,4,2,5,1] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,4,5,1,2] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,4,5,2,1] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 7
[7,6,3,5,1,2,4] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,3,5,1,4,2] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,3,5,2,1,4] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,3,5,2,4,1] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,3,5,4,1,2] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,3,5,4,2,1] => {{1,7},{2,6},{3},{4,5}} => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 7
[7,6,4,1,2,3,5] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,1,2,5,3] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,1,3,2,5] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,1,3,5,2] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,1,5,2,3] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,1,5,3,2] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,2,1,3,5] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,2,1,5,3] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,2,3,1,5] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,2,3,5,1] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,2,5,1,3] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,2,5,3,1] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,3,1,2,5] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,3,1,5,2] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,3,2,1,5] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,3,2,5,1] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,3,5,1,2] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,3,5,2,1] => {{1,7},{2,6},{3,4},{5}} => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 4
[7,6,4,5,1,2,3] => {{1,7},{2,6},{3,4,5}} => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 4
[7,6,4,5,1,3,2] => {{1,7},{2,6},{3,4,5}} => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 4
[7,6,4,5,2,1,3] => {{1,7},{2,6},{3,4,5}} => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 4
[7,6,4,5,2,3,1] => {{1,7},{2,6},{3,4,5}} => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 4
[7,6,4,5,3,1,2] => {{1,7},{2,6},{3,4,5}} => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 4
[7,6,4,5,3,2,1] => {{1,7},{2,6},{3,4,5}} => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 4
[7,6,5,1,2,3,4] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,1,2,4,3] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,1,3,2,4] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,1,3,4,2] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,1,4,2,3] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,1,4,3,2] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,2,1,3,4] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,2,1,4,3] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,2,3,1,4] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,2,3,4,1] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,2,4,1,3] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,2,4,3,1] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,3,1,2,4] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,3,1,4,2] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,3,2,1,4] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,3,2,4,1] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,3,4,1,2] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,3,4,2,1] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,4,1,2,3] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,4,1,3,2] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,4,2,1,3] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,4,2,3,1] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,4,3,1,2] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[7,6,5,4,3,2,1] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 6
[8,2,3,4,1,5,6,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[8,2,3,1,4,5,6,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[8,2,1,3,4,5,6,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[8,1,2,3,4,5,6,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[7,2,1,3,4,5,6,8] => {{1,7},{2},{3},{4},{5},{6},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1,2,4,5,6,7,8},{3}} => 21
[7,1,2,3,4,5,6,8] => {{1,7},{2},{3},{4},{5},{6},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1,2,4,5,6,7,8},{3}} => 21
[6,2,3,1,4,5,7,8] => {{1,6},{2},{3},{4},{5},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1,2,3,5,6,7,8},{4}} => 21
[6,1,2,3,4,5,7,8] => {{1,6},{2},{3},{4},{5},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1,2,3,5,6,7,8},{4}} => 21
[5,2,3,4,1,6,7,8] => {{1,5},{2},{3},{4},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1,2,3,4,6,7,8},{5}} => 21
[5,1,2,3,4,6,7,8] => {{1,5},{2},{3},{4},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1,2,3,4,6,7,8},{5}} => 21
[3,2,1,4,5,6,7,8] => {{1,3},{2},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1,2,3,4,5,6,8},{7}} => 21
[3,1,2,4,5,6,7,8] => {{1,3},{2},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1,2,3,4,5,6,8},{7}} => 21
[2,1,3,4,5,6,7,8] => {{1,2},{3},{4},{5},{6},{7},{8}} => {{1,2},{3},{4},{5},{6},{7},{8}} => {{1,2,3,4,5,6,7},{8}} => 21
[1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1,2,3,4,5,6,7,8}} => 28
[1,2,3,4,7,6,8,5] => {{1},{2},{3},{4},{5,7,8},{6}} => {{1},{2,7},{3,8},{4},{5},{6}} => {{1,3,4,5,6,8},{2,7}} => 16
[1,2,3,4,5,8,7,6] => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1,8},{2,3,4,5,6,7}} => 16
[1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,7},{2,8},{3},{4},{5},{6}} => {{1,3,4,5,6,7},{2,8}} => 16
[2,1,3,4,5,6,8,7] => {{1,2},{3},{4},{5},{6},{7,8}} => {{1,2,8},{3},{4},{5},{6},{7}} => {{1},{2,3,4,5,6,7},{8}} => 15
[1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2,3,4,5,6,7,8}} => 21
[1,2,3,5,8,6,7,4] => {{1},{2},{3},{4,5,8},{6},{7}} => {{1,5},{2},{3},{4,8},{6},{7}} => {{1,5},{2,3,4,6,7,8}} => 16
[5,1,2,3,4,6,8,7] => {{1,5},{2},{3},{4},{6},{7,8}} => {{1,8},{2},{3},{4,5},{6},{7}} => {{1},{2,3,4,6,7,8},{5}} => 15
[6,1,2,3,4,5,8,7] => {{1,6},{2},{3},{4},{5},{7,8}} => {{1,8},{2},{3},{4},{5,6},{7}} => {{1},{2,3,5,6,7,8},{4}} => 15
[7,1,2,3,4,8,5,6] => {{1,7},{2},{3},{4},{5},{6,8}} => {{1,8},{2},{3},{4},{5},{6,7}} => {{1},{2,4,5,6,7,8},{3}} => 15
[7,1,2,3,4,5,8,6] => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,4,5,6,7,8},{2},{3}} => 15
[1,7,2,3,4,5,8,6] => {{1},{2,7,8},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6,8}} => {{1,3,5,6,7,8},{2,4}} => 16
[1,2,7,3,4,5,8,6] => {{1},{2},{3,7,8},{4},{5},{6}} => {{1},{2},{3},{4,7},{5,8},{6}} => {{1,3,4,6,7,8},{2,5}} => 16
[1,2,3,4,7,5,8,6] => {{1},{2},{3},{4},{5,7,8},{6}} => {{1},{2,7},{3,8},{4},{5},{6}} => {{1,3,4,5,6,8},{2,7}} => 16
[1,8,2,3,4,5,6,7] => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1,4,5,6,7,8},{2,3}} => 16
[1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1,8},{2,3,4,5,6,7}} => 16
[8,1,2,3,4,7,5,6] => {{1,8},{2},{3},{4},{5},{6,7}} => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3,4,5,6,7,8}} => 15
[6,1,3,2,5,4,8,7] => {{1,6},{2},{3},{4},{5},{7,8}} => {{1,8},{2},{3},{4},{5,6},{7}} => {{1},{2,3,5,6,7,8},{4}} => 15
[7,1,3,2,5,4,8,6] => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,4,5,6,7,8},{2},{3}} => 15
[8,1,3,2,5,4,7,6] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[8,1,2,4,5,6,3,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[1,7,3,4,2,5,8,6] => {{1},{2,7,8},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6,8}} => {{1,3,5,6,7,8},{2,4}} => 16
[6,1,2,4,5,3,8,7] => {{1,6},{2},{3},{4},{5},{7,8}} => {{1,8},{2},{3},{4},{5,6},{7}} => {{1},{2,3,5,6,7,8},{4}} => 15
[8,1,2,3,5,6,7,4] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[6,1,3,4,5,8,7,2] => {{1,6,8},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7,8}} => {{1,3,5,6,7,8},{2},{4}} => 15
[1,8,2,4,3,5,6,7] => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1,4,5,6,7,8},{2,3}} => 16
[1,8,2,4,3,6,5,7] => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1,4,5,6,7,8},{2,3}} => 16
[1,8,2,3,4,6,5,7] => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1,4,5,6,7,8},{2,3}} => 16
[7,2,1,4,3,6,5,8] => {{1,7},{2},{3},{4},{5},{6},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1,2,4,5,6,7,8},{3}} => 21
[1,8,3,2,5,4,7,6] => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1,4,5,6,7,8},{2,3}} => 16
[8,1,2,4,3,6,5,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[8,1,3,4,2,6,7,5] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[8,1,3,2,4,5,7,6] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[5,1,2,4,3,6,7,8] => {{1,5},{2},{3},{4},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1,2,3,4,6,7,8},{5}} => 21
[6,1,2,3,5,4,7,8] => {{1,6},{2},{3},{4},{5},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1,2,3,5,6,7,8},{4}} => 21
[7,1,2,3,4,6,5,8] => {{1,7},{2},{3},{4},{5},{6},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1,2,4,5,6,7,8},{3}} => 21
[8,1,2,3,4,5,7,6] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[8,1,3,2,5,4,6,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[8,2,3,1,5,6,4,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[8,2,1,3,4,6,5,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[1,8,2,3,4,5,7,6] => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1,4,5,6,7,8},{2,3}} => 16
[8,1,3,4,5,6,7,2] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[1,8,3,2,4,5,6,7] => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1,4,5,6,7,8},{2,3}} => 16
[7,2,3,1,4,5,8,6] => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,4,5,6,7,8},{2},{3}} => 15
[6,2,3,1,5,4,8,7] => {{1,6},{2},{3},{4},{5},{7,8}} => {{1,8},{2},{3},{4},{5,6},{7}} => {{1},{2,3,5,6,7,8},{4}} => 15
[8,2,3,1,5,4,7,6] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[7,2,1,4,3,8,6,5] => {{1,7},{2},{3},{4},{5},{6,8}} => {{1,8},{2},{3},{4},{5},{6,7}} => {{1},{2,4,5,6,7,8},{3}} => 15
[8,1,2,4,3,7,6,5] => {{1,8},{2},{3},{4},{5},{6,7}} => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3,4,5,6,7,8}} => 15
[8,1,3,4,2,7,6,5] => {{1,8},{2},{3},{4},{5},{6,7}} => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3,4,5,6,7,8}} => 15
[8,1,3,2,4,7,6,5] => {{1,8},{2},{3},{4},{5},{6,7}} => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3,4,5,6,7,8}} => 15
[8,1,2,3,4,7,6,5] => {{1,8},{2},{3},{4},{5},{6,7}} => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3,4,5,6,7,8}} => 15
[7,2,1,3,4,8,6,5] => {{1,7},{2},{3},{4},{5},{6,8}} => {{1,8},{2},{3},{4},{5},{6,7}} => {{1},{2,4,5,6,7,8},{3}} => 15
[6,2,3,1,4,8,7,5] => {{1,6,8},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7,8}} => {{1,3,5,6,7,8},{2},{4}} => 15
[7,2,1,4,5,6,8,3] => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,4,5,6,7,8},{2},{3}} => 15
[7,1,3,4,5,2,8,6] => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,4,5,6,7,8},{2},{3}} => 15
[6,2,1,4,3,5,8,7] => {{1,6},{2},{3},{4},{5},{7,8}} => {{1,8},{2},{3},{4},{5,6},{7}} => {{1},{2,3,5,6,7,8},{4}} => 15
[6,2,1,4,3,8,5,7] => {{1,6,8},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7,8}} => {{1,3,5,6,7,8},{2},{4}} => 15
[8,2,1,4,3,6,5,7] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 21
[7,1,2,3,5,8,6,4] => {{1,7},{2},{3},{4},{5},{6,8}} => {{1,8},{2},{3},{4},{5},{6,7}} => {{1},{2,4,5,6,7,8},{3}} => 15
[8,1,2,3,5,7,6,4] => {{1,8},{2},{3},{4},{5},{6,7}} => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3,4,5,6,7,8}} => 15
[7,1,2,3,5,6,8,4] => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,4,5,6,7,8},{2},{3}} => 15
[6,1,2,3,5,8,7,4] => {{1,6,8},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7,8}} => {{1,3,5,6,7,8},{2},{4}} => 15
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,4,0,1 1,10,4,8,0,0,1 1,18,39,28,17,0,16,0,0,0,1 1,28,153,100,273,0,96,36,0,0,32,0,0,0,0,1 1,40,395,743,1321,392,780,926,0,126,176,75,0,0,0,64,0,0,0,0,0,1
$F_{2} = 1 + q$
$F_{3} = 1 + 4\ q + q^{3}$
$F_{4} = 1 + 10\ q + 4\ q^{2} + 8\ q^{3} + q^{6}$
$F_{5} = 1 + 18\ q + 39\ q^{2} + 28\ q^{3} + 17\ q^{4} + 16\ q^{6} + q^{10}$
$F_{6} = 1 + 28\ q + 153\ q^{2} + 100\ q^{3} + 273\ q^{4} + 96\ q^{6} + 36\ q^{7} + 32\ q^{10} + q^{15}$
$F_{7} = 1 + 40\ q + 395\ q^{2} + 743\ q^{3} + 1321\ q^{4} + 392\ q^{5} + 780\ q^{6} + 926\ q^{7} + 126\ q^{9} + 176\ q^{10} + 75\ q^{11} + 64\ q^{15} + q^{21}$
Description
The number of occurrences of the pattern {{1,2}} in a set partition.
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weak exceedance partition
Description
The set partition induced by the weak exceedances of a permutation.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
This is the coarsest set partition that contains all arcs $(i, \pi(i))$ with $i\leq\pi(i)$.
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conjugate
Description
The conjugate of a set partition.
This is an involution exchanging singletons and circular adjacencies due to [1].
This is an involution exchanging singletons and circular adjacencies due to [1].
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dual major index to intertwining number
Description
A bijection sending the dual major index of a set partition to its intertwining number.
More precisely, St000493The los statistic of a set partition.$(P) = $St000490The intertwining number of a set partition.$(\phi(P))$ for all set partitions $P$.
This is the inverse of Mp00171intertwining number to dual major index.
More precisely, St000493The los statistic of a set partition.$(P) = $St000490The intertwining number of a set partition.$(\phi(P))$ for all set partitions $P$.
This is the inverse of Mp00171intertwining number to dual major index.
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