- FindStat

Identifier

Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
Mp00129: Dyck paths —to 321-avoiding permutation (Billey-Jockusch-Stanley)⟶ Permutations
Mp00240: Permutations —weak exceedance partition⟶ Set partitions
St000971: Set partitions ⟶ ℤ

Values

[1] => [1,0] => [1] => {{1}} => 1

[1,2] => [1,0,1,0] => [2,1] => {{1,2}} => 2

[2,1] => [1,1,0,0] => [1,2] => {{1},{2}} => 1

[1,2,3] => [1,0,1,0,1,0] => [2,3,1] => {{1,2,3}} => 3

[1,3,2] => [1,0,1,1,0,0] => [2,1,3] => {{1,2},{3}} => 2

[2,1,3] => [1,1,0,0,1,0] => [1,3,2] => {{1},{2,3}} => 1

[2,3,1] => [1,1,0,1,0,0] => [3,1,2] => {{1,3},{2}} => 2

[3,1,2] => [1,1,1,0,0,0] => [1,2,3] => {{1},{2},{3}} => 1

[3,2,1] => [1,1,1,0,0,0] => [1,2,3] => {{1},{2},{3}} => 1

[1,2,3,4] => [1,0,1,0,1,0,1,0] => [2,3,4,1] => {{1,2,3,4}} => 4

[1,2,4,3] => [1,0,1,0,1,1,0,0] => [2,3,1,4] => {{1,2,3},{4}} => 3

[1,3,2,4] => [1,0,1,1,0,0,1,0] => [2,1,4,3] => {{1,2},{3,4}} => 2

[1,3,4,2] => [1,0,1,1,0,1,0,0] => [2,4,1,3] => {{1,2,4},{3}} => 3

[1,4,2,3] => [1,0,1,1,1,0,0,0] => [2,1,3,4] => {{1,2},{3},{4}} => 2

[1,4,3,2] => [1,0,1,1,1,0,0,0] => [2,1,3,4] => {{1,2},{3},{4}} => 2

[2,1,3,4] => [1,1,0,0,1,0,1,0] => [1,3,4,2] => {{1},{2,3,4}} => 1

[2,1,4,3] => [1,1,0,0,1,1,0,0] => [1,3,2,4] => {{1},{2,3},{4}} => 1

[2,3,1,4] => [1,1,0,1,0,0,1,0] => [3,1,4,2] => {{1,3,4},{2}} => 2

[2,3,4,1] => [1,1,0,1,0,1,0,0] => [3,4,1,2] => {{1,3},{2,4}} => 3

[2,4,1,3] => [1,1,0,1,1,0,0,0] => [3,1,2,4] => {{1,3},{2},{4}} => 2

[2,4,3,1] => [1,1,0,1,1,0,0,0] => [3,1,2,4] => {{1,3},{2},{4}} => 2

[3,1,2,4] => [1,1,1,0,0,0,1,0] => [1,2,4,3] => {{1},{2},{3,4}} => 1

[3,1,4,2] => [1,1,1,0,0,1,0,0] => [1,4,2,3] => {{1},{2,4},{3}} => 1

[3,2,1,4] => [1,1,1,0,0,0,1,0] => [1,2,4,3] => {{1},{2},{3,4}} => 1

[3,2,4,1] => [1,1,1,0,0,1,0,0] => [1,4,2,3] => {{1},{2,4},{3}} => 1

[3,4,1,2] => [1,1,1,0,1,0,0,0] => [4,1,2,3] => {{1,4},{2},{3}} => 2

[3,4,2,1] => [1,1,1,0,1,0,0,0] => [4,1,2,3] => {{1,4},{2},{3}} => 2

[4,1,2,3] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => {{1},{2},{3},{4}} => 1

[4,1,3,2] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => {{1},{2},{3},{4}} => 1

[4,2,1,3] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => {{1},{2},{3},{4}} => 1

[4,2,3,1] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => {{1},{2},{3},{4}} => 1

[4,3,1,2] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => {{1},{2},{3},{4}} => 1

[4,3,2,1] => [1,1,1,1,0,0,0,0] => [1,2,3,4] => {{1},{2},{3},{4}} => 1

[1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1] => {{1,2,3,4,5}} => 5

[1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5] => {{1,2,3,4},{5}} => 4

[1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0] => [2,3,1,5,4] => {{1,2,3},{4,5}} => 3

[1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0] => [2,3,5,1,4] => {{1,2,3,5},{4}} => 4

[1,2,5,3,4] => [1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] => {{1,2,3},{4},{5}} => 3

[1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] => {{1,2,3},{4},{5}} => 3

[1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3] => {{1,2},{3,4,5}} => 2

[1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0] => [2,1,4,3,5] => {{1,2},{3,4},{5}} => 2

[1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0] => [2,4,1,5,3] => {{1,2,4,5},{3}} => 3

[1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 4

[1,3,5,2,4] => [1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] => {{1,2,4},{3},{5}} => 3

[1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] => {{1,2,4},{3},{5}} => 3

[1,4,2,3,5] => [1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] => {{1,2},{3},{4,5}} => 2

[1,4,2,5,3] => [1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] => {{1,2},{3,5},{4}} => 2

[1,4,3,2,5] => [1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] => {{1,2},{3},{4,5}} => 2

[1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] => {{1,2},{3,5},{4}} => 2

[1,4,5,2,3] => [1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] => {{1,2,5},{3},{4}} => 3

[1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] => {{1,2,5},{3},{4}} => 3

[1,5,2,3,4] => [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => {{1,2},{3},{4},{5}} => 2

[1,5,2,4,3] => [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => {{1,2},{3},{4},{5}} => 2

[1,5,3,2,4] => [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => {{1,2},{3},{4},{5}} => 2

[1,5,3,4,2] => [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => {{1,2},{3},{4},{5}} => 2

[1,5,4,2,3] => [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => {{1,2},{3},{4},{5}} => 2

[1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => {{1,2},{3},{4},{5}} => 2

[2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2] => {{1},{2,3,4,5}} => 1

[2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => 1

[2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4] => {{1},{2,3},{4,5}} => 1

[2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => [1,3,5,2,4] => {{1},{2,3,5},{4}} => 1

[2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => 1

[2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => 1

[2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2] => {{1,3,4,5},{2}} => 2

[2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => [3,1,4,2,5] => {{1,3,4},{2},{5}} => 2

[2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 3

[2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => [3,4,5,1,2] => {{1,3,5},{2,4}} => 4

[2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 3

[2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 3

[2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] => {{1,3},{2},{4,5}} => 2

[2,4,1,5,3] => [1,1,0,1,1,0,0,1,0,0] => [3,1,5,2,4] => {{1,3,5},{2},{4}} => 2

[2,4,3,1,5] => [1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] => {{1,3},{2},{4,5}} => 2

[2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0] => [3,1,5,2,4] => {{1,3,5},{2},{4}} => 2

[2,4,5,1,3] => [1,1,0,1,1,0,1,0,0,0] => [3,5,1,2,4] => {{1,3},{2,5},{4}} => 3

[2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0] => [3,5,1,2,4] => {{1,3},{2,5},{4}} => 3

[2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => {{1,3},{2},{4},{5}} => 2

[2,5,1,4,3] => [1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => {{1,3},{2},{4},{5}} => 2

[2,5,3,1,4] => [1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => {{1,3},{2},{4},{5}} => 2

[2,5,3,4,1] => [1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => {{1,3},{2},{4},{5}} => 2

[2,5,4,1,3] => [1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => {{1,3},{2},{4},{5}} => 2

[2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => {{1,3},{2},{4},{5}} => 2

[3,1,2,4,5] => [1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => 1

[3,1,2,5,4] => [1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => 1

[3,1,4,2,5] => [1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] => {{1},{2,4,5},{3}} => 1

[3,1,4,5,2] => [1,1,1,0,0,1,0,1,0,0] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => 1

[3,1,5,2,4] => [1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => {{1},{2,4},{3},{5}} => 1

[3,1,5,4,2] => [1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => {{1},{2,4},{3},{5}} => 1

[3,2,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => 1

[3,2,1,5,4] => [1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => 1

[3,2,4,1,5] => [1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] => {{1},{2,4,5},{3}} => 1

[3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => 1

[3,2,5,1,4] => [1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => {{1},{2,4},{3},{5}} => 1

[3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => {{1},{2,4},{3},{5}} => 1

[3,4,1,2,5] => [1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] => {{1,4,5},{2},{3}} => 2

[3,4,1,5,2] => [1,1,1,0,1,0,0,1,0,0] => [4,1,5,2,3] => {{1,4},{2},{3,5}} => 2

[3,4,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] => {{1,4,5},{2},{3}} => 2

[3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => [4,1,5,2,3] => {{1,4},{2},{3,5}} => 2

[3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => [4,5,1,2,3] => {{1,4},{2,5},{3}} => 3

[3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0] => [4,5,1,2,3] => {{1,4},{2,5},{3}} => 3

[3,5,1,2,4] => [1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => {{1,4},{2},{3},{5}} => 2

[3,5,1,4,2] => [1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => {{1,4},{2},{3},{5}} => 2

>>> Load all 5989 entries. <<<

[3,5,2,1,4] => [1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => {{1,4},{2},{3},{5}} => 2

[3,5,2,4,1] => [1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => {{1,4},{2},{3},{5}} => 2

[3,5,4,1,2] => [1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => {{1,4},{2},{3},{5}} => 2

[3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => {{1,4},{2},{3},{5}} => 2

[4,1,2,3,5] => [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => 1

[4,1,2,5,3] => [1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => {{1},{2},{3,5},{4}} => 1

[4,1,3,2,5] => [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => 1

[4,1,3,5,2] => [1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => {{1},{2},{3,5},{4}} => 1

[4,1,5,2,3] => [1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => {{1},{2,5},{3},{4}} => 1

[4,1,5,3,2] => [1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => {{1},{2,5},{3},{4}} => 1

[4,2,1,3,5] => [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => 1

[4,2,1,5,3] => [1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => {{1},{2},{3,5},{4}} => 1

[4,2,3,1,5] => [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => 1

[4,2,3,5,1] => [1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => {{1},{2},{3,5},{4}} => 1

[4,2,5,1,3] => [1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => {{1},{2,5},{3},{4}} => 1

[4,2,5,3,1] => [1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => {{1},{2,5},{3},{4}} => 1

[4,3,1,2,5] => [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => 1

[4,3,1,5,2] => [1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => {{1},{2},{3,5},{4}} => 1

[4,3,2,1,5] => [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => 1

[4,3,2,5,1] => [1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => {{1},{2},{3,5},{4}} => 1

[4,3,5,1,2] => [1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => {{1},{2,5},{3},{4}} => 1

[4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => {{1},{2,5},{3},{4}} => 1

[4,5,1,2,3] => [1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => {{1,5},{2},{3},{4}} => 2

[4,5,1,3,2] => [1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => {{1,5},{2},{3},{4}} => 2

[4,5,2,1,3] => [1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => {{1,5},{2},{3},{4}} => 2

[4,5,2,3,1] => [1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => {{1,5},{2},{3},{4}} => 2

[4,5,3,1,2] => [1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => {{1,5},{2},{3},{4}} => 2

[4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => {{1,5},{2},{3},{4}} => 2

[5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,1,3,2,4] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,1,4,2,3] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,1,4,3,2] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,2,1,4,3] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,2,3,1,4] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,3,1,2,4] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,3,1,4,2] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,3,2,1,4] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,3,2,4,1] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,4,2,1,3] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 1

[1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 6

[1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => 5

[1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => 4

[1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,6,1,5] => {{1,2,3,4,6},{5}} => 5

[1,2,3,6,4,5] => [1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => 4

[1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => 4

[1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 3

[1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}} => 3

[1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,5,1,6,4] => {{1,2,3,5,6},{4}} => 4

[1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 5

[1,2,4,6,3,5] => [1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4,6] => {{1,2,3,5},{4},{6}} => 4

[1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4,6] => {{1,2,3,5},{4},{6}} => 4

[1,2,5,3,4,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} => 3

[1,2,5,3,6,4] => [1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,5] => {{1,2,3},{4,6},{5}} => 3

[1,2,5,4,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} => 3

[1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,5] => {{1,2,3},{4,6},{5}} => 3

[1,2,5,6,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,6,1,4,5] => {{1,2,3,6},{4},{5}} => 4

[1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,6,1,4,5] => {{1,2,3,6},{4},{5}} => 4

[1,2,6,3,4,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 3

[1,2,6,3,5,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 3

[1,2,6,4,3,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 3

[1,2,6,4,5,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 3

[1,2,6,5,3,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 3

[1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 3

[1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => 2

[1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6] => {{1,2},{3,4,5},{6}} => 2

[1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5] => {{1,2},{3,4},{5,6}} => 2

[1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,6,3,5] => {{1,2},{3,4,6},{5}} => 2

[1,3,2,6,4,5] => [1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,5,6] => {{1,2},{3,4},{5},{6}} => 2

[1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,5,6] => {{1,2},{3,4},{5},{6}} => 2

[1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => [2,4,1,5,6,3] => {{1,2,4,5,6},{3}} => 3

[1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,5,3,6] => {{1,2,4,5},{3},{6}} => 3

[1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 4

[1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,5,6,1,3] => {{1,2,4,6},{3,5}} => 5

[1,3,4,6,2,5] => [1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 4

[1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 4

[1,3,5,2,4,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,6,5] => {{1,2,4},{3},{5,6}} => 3

[1,3,5,2,6,4] => [1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,3,5] => {{1,2,4,6},{3},{5}} => 3

[1,3,5,4,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,6,5] => {{1,2,4},{3},{5,6}} => 3

[1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,3,5] => {{1,2,4,6},{3},{5}} => 3

[1,3,5,6,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,3,5] => {{1,2,4},{3,6},{5}} => 4

[1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,3,5] => {{1,2,4},{3,6},{5}} => 4

[1,3,6,2,4,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => {{1,2,4},{3},{5},{6}} => 3

[1,3,6,2,5,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => {{1,2,4},{3},{5},{6}} => 3

[1,3,6,4,2,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => {{1,2,4},{3},{5},{6}} => 3

[1,3,6,4,5,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => {{1,2,4},{3},{5},{6}} => 3

[1,3,6,5,2,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => {{1,2,4},{3},{5},{6}} => 3

[1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => {{1,2,4},{3},{5},{6}} => 3

[1,4,2,3,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}} => 2

[1,4,2,3,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,5,4,6] => {{1,2},{3},{4,5},{6}} => 2

[1,4,2,5,3,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4] => {{1,2},{3,5,6},{4}} => 2

[1,4,2,5,6,3] => [1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => 2

[1,4,2,6,3,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => {{1,2},{3,5},{4},{6}} => 2

[1,4,2,6,5,3] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => {{1,2},{3,5},{4},{6}} => 2

[1,4,3,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}} => 2

[1,4,3,2,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,5,4,6] => {{1,2},{3},{4,5},{6}} => 2

[1,4,3,5,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4] => {{1,2},{3,5,6},{4}} => 2

[1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => 2

[1,4,3,6,2,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => {{1,2},{3,5},{4},{6}} => 2

[1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => {{1,2},{3,5},{4},{6}} => 2

[1,4,5,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [2,5,1,3,6,4] => {{1,2,5,6},{3},{4}} => 3

[1,4,5,2,6,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,3,4] => {{1,2,5},{3},{4,6}} => 3

[1,4,5,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => [2,5,1,3,6,4] => {{1,2,5,6},{3},{4}} => 3

[1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,3,4] => {{1,2,5},{3},{4,6}} => 3

[1,4,5,6,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,3,4] => {{1,2,5},{3,6},{4}} => 4

[1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,3,4] => {{1,2,5},{3,6},{4}} => 4

[1,4,6,2,3,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => {{1,2,5},{3},{4},{6}} => 3

[1,4,6,2,5,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => {{1,2,5},{3},{4},{6}} => 3

[1,4,6,3,2,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => {{1,2,5},{3},{4},{6}} => 3

[1,4,6,3,5,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => {{1,2,5},{3},{4},{6}} => 3

[1,4,6,5,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => {{1,2,5},{3},{4},{6}} => 3

[1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => {{1,2,5},{3},{4},{6}} => 3

[1,5,2,3,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => 2

[1,5,2,3,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => {{1,2},{3},{4,6},{5}} => 2

[1,5,2,4,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => 2

[1,5,2,4,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => {{1,2},{3},{4,6},{5}} => 2

[1,5,2,6,3,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => {{1,2},{3,6},{4},{5}} => 2

[1,5,2,6,4,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => {{1,2},{3,6},{4},{5}} => 2

[1,5,3,2,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => 2

[1,5,3,2,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => {{1,2},{3},{4,6},{5}} => 2

[1,5,3,4,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => 2

[1,5,3,4,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => {{1,2},{3},{4,6},{5}} => 2

[1,5,3,6,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => {{1,2},{3,6},{4},{5}} => 2

[1,5,3,6,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => {{1,2},{3,6},{4},{5}} => 2

[1,5,4,2,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => 2

[1,5,4,2,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => {{1,2},{3},{4,6},{5}} => 2

[1,5,4,3,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => 2

[1,5,4,3,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => {{1,2},{3},{4,6},{5}} => 2

[1,5,4,6,2,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => {{1,2},{3,6},{4},{5}} => 2

[1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => {{1,2},{3,6},{4},{5}} => 2

[1,5,6,2,3,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => {{1,2,6},{3},{4},{5}} => 3

[1,5,6,2,4,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => {{1,2,6},{3},{4},{5}} => 3

[1,5,6,3,2,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => {{1,2,6},{3},{4},{5}} => 3

[1,5,6,3,4,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => {{1,2,6},{3},{4},{5}} => 3

[1,5,6,4,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => {{1,2,6},{3},{4},{5}} => 3

[1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => {{1,2,6},{3},{4},{5}} => 3

[1,6,2,3,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,2,3,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,2,4,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,2,4,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,2,5,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,2,5,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,3,2,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,3,2,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,3,4,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,3,4,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,3,5,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,3,5,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,4,2,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,4,2,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,4,3,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,4,3,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,4,5,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,4,5,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,5,2,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,5,2,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,5,3,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,5,3,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,5,4,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 2

[2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => 1

[2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => 1

[2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => 1

[2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,6,2,5] => {{1},{2,3,4,6},{5}} => 1

[2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => 1

[2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => 1

[2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => 1

[2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => 1

[2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,5,2,6,4] => {{1},{2,3,5,6},{4}} => 1

[2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4,6] => {{1},{2,3,5},{4},{6}} => 1

[2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4,6] => {{1},{2,3,5},{4},{6}} => 1

[2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => 1

[2,1,5,3,6,4] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,5] => {{1},{2,3},{4,6},{5}} => 1

[2,1,5,4,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => 1

[2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,5] => {{1},{2,3},{4,6},{5}} => 1

[2,1,5,6,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,6,2,4,5] => {{1},{2,3,6},{4},{5}} => 1

[2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,6,2,4,5] => {{1},{2,3,6},{4},{5}} => 1

[2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => 1

[2,1,6,3,5,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => 1

[2,1,6,4,3,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => 1

[2,1,6,4,5,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => 1

[2,1,6,5,3,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => 1

[2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => 1

[2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,5,6,2] => {{1,3,4,5,6},{2}} => 2

[2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,4,5,2,6] => {{1,3,4,5},{2},{6}} => 2

[2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5] => {{1,3,4},{2},{5,6}} => 2

[2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => [3,1,4,6,2,5] => {{1,3,4,6},{2},{5}} => 2

[2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,5,6] => {{1,3,4},{2},{5},{6}} => 2

[2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,5,6] => {{1,3,4},{2},{5},{6}} => 2

[2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 3

[2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 3

[2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,1,6,2] => {{1,3,5,6},{2,4}} => 4

[2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 5

[2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,6] => {{1,3,5},{2,4},{6}} => 4

[2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,6] => {{1,3,5},{2,4},{6}} => 4

[2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 3

[2,3,5,1,6,4] => [1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,6,2,5] => {{1,3},{2,4,6},{5}} => 3

[2,3,5,4,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 3

[2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,6,2,5] => {{1,3},{2,4,6},{5}} => 3

[2,3,5,6,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,6,1,2,5] => {{1,3,6},{2,4},{5}} => 4

[2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,6,1,2,5] => {{1,3,6},{2,4},{5}} => 4

[2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 3

[2,3,6,1,5,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 3

[2,3,6,4,1,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 3

[2,3,6,4,5,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 3

[2,3,6,5,1,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 3

[2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 3

[2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,5,6,4] => {{1,3},{2},{4,5,6}} => 2

[2,4,1,3,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4,6] => {{1,3},{2},{4,5},{6}} => 2

[2,4,1,5,3,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4] => {{1,3,5,6},{2},{4}} => 2

[2,4,1,5,6,3] => [1,1,0,1,1,0,0,1,0,1,0,0] => [3,1,5,6,2,4] => {{1,3,5},{2},{4,6}} => 2

[2,4,1,6,3,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] => {{1,3,5},{2},{4},{6}} => 2

[2,4,1,6,5,3] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] => {{1,3,5},{2},{4},{6}} => 2

[2,4,3,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,5,6,4] => {{1,3},{2},{4,5,6}} => 2

[2,4,3,1,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4,6] => {{1,3},{2},{4,5},{6}} => 2

[2,4,3,5,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4] => {{1,3,5,6},{2},{4}} => 2

[2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => [3,1,5,6,2,4] => {{1,3,5},{2},{4,6}} => 2

[2,4,3,6,1,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] => {{1,3,5},{2},{4},{6}} => 2

[2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] => {{1,3,5},{2},{4},{6}} => 2

[2,4,5,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [3,5,1,2,6,4] => {{1,3},{2,5,6},{4}} => 3

[2,4,5,1,6,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 3

[2,4,5,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => [3,5,1,2,6,4] => {{1,3},{2,5,6},{4}} => 3

[2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 3

[2,4,5,6,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,5,6,1,2,4] => {{1,3,6},{2,5},{4}} => 4

[2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => [3,5,6,1,2,4] => {{1,3,6},{2,5},{4}} => 4

[2,4,6,1,3,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => {{1,3},{2,5},{4},{6}} => 3

[2,4,6,1,5,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => {{1,3},{2,5},{4},{6}} => 3

[2,4,6,3,1,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => {{1,3},{2,5},{4},{6}} => 3

[2,4,6,3,5,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => {{1,3},{2,5},{4},{6}} => 3

[2,4,6,5,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => {{1,3},{2,5},{4},{6}} => 3

[2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => {{1,3},{2,5},{4},{6}} => 3

[2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => {{1,3},{2},{4},{5,6}} => 2

[2,5,1,3,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => {{1,3},{2},{4,6},{5}} => 2

[2,5,1,4,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => {{1,3},{2},{4},{5,6}} => 2

[2,5,1,4,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => {{1,3},{2},{4,6},{5}} => 2

[2,5,1,6,3,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => {{1,3,6},{2},{4},{5}} => 2

[2,5,1,6,4,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => {{1,3,6},{2},{4},{5}} => 2

[2,5,3,1,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => {{1,3},{2},{4},{5,6}} => 2

[2,5,3,1,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => {{1,3},{2},{4,6},{5}} => 2

[2,5,3,4,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => {{1,3},{2},{4},{5,6}} => 2

[2,5,3,4,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => {{1,3},{2},{4,6},{5}} => 2

[2,5,3,6,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => {{1,3,6},{2},{4},{5}} => 2

[2,5,3,6,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => {{1,3,6},{2},{4},{5}} => 2

[2,5,4,1,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => {{1,3},{2},{4},{5,6}} => 2

[2,5,4,1,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => {{1,3},{2},{4,6},{5}} => 2

[2,5,4,3,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => {{1,3},{2},{4},{5,6}} => 2

[2,5,4,3,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => {{1,3},{2},{4,6},{5}} => 2

[2,5,4,6,1,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => {{1,3,6},{2},{4},{5}} => 2

[2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => {{1,3,6},{2},{4},{5}} => 2

[2,5,6,1,3,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => {{1,3},{2,6},{4},{5}} => 3

[2,5,6,1,4,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => {{1,3},{2,6},{4},{5}} => 3

[2,5,6,3,1,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => {{1,3},{2,6},{4},{5}} => 3

[2,5,6,3,4,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => {{1,3},{2,6},{4},{5}} => 3

[2,5,6,4,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => {{1,3},{2,6},{4},{5}} => 3

[2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => {{1,3},{2,6},{4},{5}} => 3

[2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,1,3,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,1,4,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,1,4,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,1,5,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,1,5,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,3,1,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,3,1,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,3,4,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,3,4,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,3,5,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,3,5,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,4,1,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,4,1,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,4,3,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,4,3,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,4,5,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,4,5,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,5,1,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,5,1,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,5,3,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,5,3,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,5,4,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => {{1,3},{2},{4},{5},{6}} => 2

[3,1,2,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => 1

[3,1,2,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => 1

[3,1,2,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => 1

[3,1,2,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,4,6,3,5] => {{1},{2},{3,4,6},{5}} => 1

[3,1,2,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => 1

[3,1,2,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => 1

[3,1,4,2,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,6,3] => {{1},{2,4,5,6},{3}} => 1

[3,1,4,2,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,6] => {{1},{2,4,5},{3},{6}} => 1

[3,1,4,5,2,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[3,1,4,5,6,2] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,5,6,2,3] => {{1},{2,4,6},{3,5}} => 1

[3,1,4,6,2,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 1

[3,1,4,6,5,2] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 1

[3,1,5,2,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => {{1},{2,4},{3},{5,6}} => 1

[3,1,5,2,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] => {{1},{2,4,6},{3},{5}} => 1

[3,1,5,4,2,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => {{1},{2,4},{3},{5,6}} => 1

[3,1,5,4,6,2] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] => {{1},{2,4,6},{3},{5}} => 1

[3,1,5,6,2,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] => {{1},{2,4},{3,6},{5}} => 1

[3,1,5,6,4,2] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] => {{1},{2,4},{3,6},{5}} => 1

[3,1,6,2,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,1,6,2,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,1,6,4,2,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,1,6,4,5,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,1,6,5,2,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,1,6,5,4,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,2,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => 1

[3,2,1,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => 1

[3,2,1,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => 1

[3,2,1,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,4,6,3,5] => {{1},{2},{3,4,6},{5}} => 1

[3,2,1,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => 1

[3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => 1

[3,2,4,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,6,3] => {{1},{2,4,5,6},{3}} => 1

[3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,6] => {{1},{2,4,5},{3},{6}} => 1

[3,2,4,5,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,5,6,2,3] => {{1},{2,4,6},{3,5}} => 1

[3,2,4,6,1,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 1

[3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 1

[3,2,5,1,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => {{1},{2,4},{3},{5,6}} => 1

[3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] => {{1},{2,4,6},{3},{5}} => 1

[3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => {{1},{2,4},{3},{5,6}} => 1

[3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] => {{1},{2,4,6},{3},{5}} => 1

[3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] => {{1},{2,4},{3,6},{5}} => 1

[3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] => {{1},{2,4},{3,6},{5}} => 1

[3,2,6,1,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => {{1},{2,4},{3},{5},{6}} => 1

[3,4,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,2,5,6,3] => {{1,4,5,6},{2},{3}} => 2

[3,4,1,2,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,1,2,5,3,6] => {{1,4,5},{2},{3},{6}} => 2

[3,4,1,5,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3] => {{1,4},{2},{3,5,6}} => 2

[3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,1,5,6,2,3] => {{1,4,6},{2},{3,5}} => 2

[3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] => {{1,4},{2},{3,5},{6}} => 2

[3,4,1,6,5,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] => {{1,4},{2},{3,5},{6}} => 2

[3,4,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,2,5,6,3] => {{1,4,5,6},{2},{3}} => 2

[3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,1,2,5,3,6] => {{1,4,5},{2},{3},{6}} => 2

[3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3] => {{1,4},{2},{3,5,6}} => 2

[3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => [4,1,5,6,2,3] => {{1,4,6},{2},{3,5}} => 2

[3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] => {{1,4},{2},{3,5},{6}} => 2

[3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] => {{1,4},{2},{3,5},{6}} => 2

[3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [4,5,1,2,6,3] => {{1,4},{2,5,6},{3}} => 3

[3,4,5,1,6,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,5,1,6,2,3] => {{1,4,6},{2,5},{3}} => 3

[3,4,5,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => [4,5,1,2,6,3] => {{1,4},{2,5,6},{3}} => 3

[3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => [4,5,1,6,2,3] => {{1,4,6},{2,5},{3}} => 3

[3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 4

[3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 4

[3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => {{1,4},{2,5},{3},{6}} => 3

[3,4,6,1,5,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => {{1,4},{2,5},{3},{6}} => 3

[3,4,6,2,1,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => {{1,4},{2,5},{3},{6}} => 3

[3,4,6,2,5,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => {{1,4},{2,5},{3},{6}} => 3

[3,4,6,5,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => {{1,4},{2,5},{3},{6}} => 3

[3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => {{1,4},{2,5},{3},{6}} => 3

[3,5,1,2,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => {{1,4},{2},{3},{5,6}} => 2

[3,5,1,2,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => {{1,4,6},{2},{3},{5}} => 2

[3,5,1,4,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => {{1,4},{2},{3},{5,6}} => 2

[3,5,1,4,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => {{1,4,6},{2},{3},{5}} => 2

[3,5,1,6,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => {{1,4},{2},{3,6},{5}} => 2

[3,5,1,6,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => {{1,4},{2},{3,6},{5}} => 2

[3,5,2,1,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => {{1,4},{2},{3},{5,6}} => 2

[3,5,2,1,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => {{1,4,6},{2},{3},{5}} => 2

[3,5,2,4,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => {{1,4},{2},{3},{5,6}} => 2

[3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => {{1,4,6},{2},{3},{5}} => 2

[3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => {{1,4},{2},{3,6},{5}} => 2

[3,5,2,6,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => {{1,4},{2},{3,6},{5}} => 2

[3,5,4,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => {{1,4},{2},{3},{5,6}} => 2

[3,5,4,1,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => {{1,4,6},{2},{3},{5}} => 2

[3,5,4,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => {{1,4},{2},{3},{5,6}} => 2

[3,5,4,2,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => {{1,4,6},{2},{3},{5}} => 2

[3,5,4,6,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => {{1,4},{2},{3,6},{5}} => 2

[3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => {{1,4},{2},{3,6},{5}} => 2

[3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => {{1,4},{2,6},{3},{5}} => 3

[3,5,6,1,4,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => {{1,4},{2,6},{3},{5}} => 3

[3,5,6,2,1,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => {{1,4},{2,6},{3},{5}} => 3

[3,5,6,2,4,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => {{1,4},{2,6},{3},{5}} => 3

[3,5,6,4,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => {{1,4},{2,6},{3},{5}} => 3

[3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => {{1,4},{2,6},{3},{5}} => 3

[3,6,1,2,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,1,2,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,1,4,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,1,4,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,1,5,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,1,5,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,2,1,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,2,1,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,2,4,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,2,4,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,2,5,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,2,5,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,4,1,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,4,1,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,4,2,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,4,2,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,4,5,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,4,5,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,5,1,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,5,1,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,5,2,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,5,2,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,5,4,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => {{1,4},{2},{3},{5},{6}} => 2

[4,1,2,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => 1

[4,1,2,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => 1

[4,1,2,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => {{1},{2},{3,5,6},{4}} => 1

[4,1,2,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 1

[4,1,2,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,1,2,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,1,3,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => 1

[4,1,3,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => 1

[4,1,3,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => {{1},{2},{3,5,6},{4}} => 1

[4,1,3,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 1

[4,1,3,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,1,3,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,1,5,2,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => {{1},{2,5,6},{3},{4}} => 1

[4,1,5,2,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => {{1},{2,5},{3},{4,6}} => 1

[4,1,5,3,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => {{1},{2,5,6},{3},{4}} => 1

[4,1,5,3,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => {{1},{2,5},{3},{4,6}} => 1

[4,1,5,6,2,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => {{1},{2,5},{3,6},{4}} => 1

[4,1,5,6,3,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => {{1},{2,5},{3,6},{4}} => 1

[4,1,6,2,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,1,6,2,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,1,6,3,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,1,6,3,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,1,6,5,2,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,1,6,5,3,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,2,1,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => 1

[4,2,1,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => 1

[4,2,1,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => {{1},{2},{3,5,6},{4}} => 1

[4,2,1,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 1

[4,2,1,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,2,1,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,2,3,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => 1

[4,2,3,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => 1

[4,2,3,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => {{1},{2},{3,5,6},{4}} => 1

[4,2,3,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 1

[4,2,3,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,2,3,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,2,5,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => {{1},{2,5,6},{3},{4}} => 1

[4,2,5,1,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => {{1},{2,5},{3},{4,6}} => 1

[4,2,5,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => {{1},{2,5,6},{3},{4}} => 1

[4,2,5,3,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => {{1},{2,5},{3},{4,6}} => 1

[4,2,5,6,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => {{1},{2,5},{3,6},{4}} => 1

[4,2,5,6,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => {{1},{2,5},{3,6},{4}} => 1

[4,2,6,1,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,2,6,1,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,2,6,3,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,2,6,3,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,2,6,5,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,2,6,5,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,3,1,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => 1

[4,3,1,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => 1

[4,3,1,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => {{1},{2},{3,5,6},{4}} => 1

[4,3,1,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 1

[4,3,1,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,3,1,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,3,2,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => 1

[4,3,2,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => 1

[4,3,2,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => {{1},{2},{3,5,6},{4}} => 1

[4,3,2,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 1

[4,3,2,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => {{1},{2},{3,5},{4},{6}} => 1

[4,3,5,1,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => {{1},{2,5,6},{3},{4}} => 1

[4,3,5,1,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => {{1},{2,5},{3},{4,6}} => 1

[4,3,5,2,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => {{1},{2,5,6},{3},{4}} => 1

[4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => {{1},{2,5},{3},{4,6}} => 1

[4,3,5,6,1,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => {{1},{2,5},{3,6},{4}} => 1

[4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => {{1},{2,5},{3,6},{4}} => 1

[4,3,6,1,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,3,6,1,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,3,6,2,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,3,6,2,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,3,6,5,1,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => {{1},{2,5},{3},{4},{6}} => 1

[4,5,1,2,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => {{1,5,6},{2},{3},{4}} => 2

[4,5,1,2,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => {{1,5},{2},{3},{4,6}} => 2

[4,5,1,3,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => {{1,5,6},{2},{3},{4}} => 2

[4,5,1,3,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => {{1,5},{2},{3},{4,6}} => 2

[4,5,1,6,2,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => {{1,5},{2},{3,6},{4}} => 2

[4,5,1,6,3,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => {{1,5},{2},{3,6},{4}} => 2

[4,5,2,1,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => {{1,5,6},{2},{3},{4}} => 2

[4,5,2,1,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => {{1,5},{2},{3},{4,6}} => 2

[4,5,2,3,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => {{1,5,6},{2},{3},{4}} => 2

[4,5,2,3,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => {{1,5},{2},{3},{4,6}} => 2

[4,5,2,6,1,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => {{1,5},{2},{3,6},{4}} => 2

[4,5,2,6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => {{1,5},{2},{3,6},{4}} => 2

[4,5,3,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => {{1,5,6},{2},{3},{4}} => 2

[4,5,3,1,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => {{1,5},{2},{3},{4,6}} => 2

[4,5,3,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => {{1,5,6},{2},{3},{4}} => 2

[4,5,3,2,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => {{1,5},{2},{3},{4,6}} => 2

[4,5,3,6,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => {{1,5},{2},{3,6},{4}} => 2

[4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => {{1,5},{2},{3,6},{4}} => 2

[4,5,6,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => {{1,5},{2,6},{3},{4}} => 3

[4,5,6,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => {{1,5},{2,6},{3},{4}} => 3

[4,5,6,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => {{1,5},{2,6},{3},{4}} => 3

[4,5,6,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => {{1,5},{2,6},{3},{4}} => 3

[4,5,6,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => {{1,5},{2,6},{3},{4}} => 3

[4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => {{1,5},{2,6},{3},{4}} => 3

[4,6,1,2,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,1,2,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,1,3,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,1,3,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,1,5,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,1,5,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,2,1,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,2,1,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,2,3,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,2,3,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,2,5,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,2,5,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,3,1,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,3,1,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,3,2,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,3,2,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,3,5,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,3,5,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,5,1,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,5,1,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,5,2,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,5,2,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,5,3,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => {{1,5},{2},{3},{4},{6}} => 2

[5,1,2,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,1,2,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,1,2,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,1,2,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,1,2,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,1,2,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,1,3,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,1,3,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,1,3,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,1,3,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,1,3,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,1,3,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,1,4,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,1,4,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,1,4,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,1,4,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,1,4,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,1,4,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,1,6,2,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,1,6,2,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,1,6,3,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,1,6,3,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,1,6,4,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,1,6,4,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,2,1,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,2,1,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,2,1,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,2,1,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,2,1,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,2,1,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,2,3,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,2,3,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,2,3,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,2,3,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,2,3,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,2,3,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,2,4,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,2,4,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,2,4,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,2,4,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,2,4,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,2,4,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,2,6,1,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,2,6,1,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,2,6,3,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,2,6,3,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,2,6,4,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,2,6,4,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,3,1,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,3,1,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,3,1,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,3,1,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,3,1,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,3,1,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,3,2,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,3,2,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,3,2,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,3,2,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,3,2,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,3,2,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,3,4,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,3,4,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,3,4,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,3,4,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,3,4,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,3,4,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,3,6,1,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,3,6,1,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,3,6,2,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,3,6,2,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,3,6,4,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,3,6,4,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,4,1,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,4,1,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,4,1,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,4,1,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,4,1,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,4,1,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,4,2,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,4,2,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,4,2,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,4,2,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,4,2,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,4,2,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,4,3,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,4,3,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,4,3,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 1

[5,4,3,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => {{1},{2},{3},{4,6},{5}} => 1

[5,4,3,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => {{1},{2},{3,6},{4},{5}} => 1

[5,4,6,1,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,4,6,1,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,4,6,2,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,4,6,2,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,4,6,3,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => {{1},{2,6},{3},{4},{5}} => 1

[5,6,1,2,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,1,2,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,1,3,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,1,3,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,1,4,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,1,4,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,2,1,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,2,1,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,2,3,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,2,3,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,2,4,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,2,4,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,3,1,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,3,1,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,3,2,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,3,2,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,3,4,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,3,4,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,4,1,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,4,1,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,4,2,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,4,2,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,4,3,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => {{1,6},{2},{3},{4},{5}} => 2

[6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,2,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,2,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,3,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,3,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,4,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,4,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,4,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,4,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,5,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,5,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,5,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,5,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,5,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,1,5,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,1,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,1,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,1,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,1,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,3,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,3,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,3,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,4,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,4,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,4,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,4,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,5,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,5,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,5,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,5,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,1,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,1,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,1,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,1,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,2,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,2,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,2,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,2,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,4,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,4,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,4,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,4,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,1,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,1,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,1,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,1,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,1,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,1,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,2,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,2,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,2,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,2,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,2,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,2,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,3,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,3,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,3,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,3,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,3,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,3,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,5,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,1,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,1,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,2,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,2,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,3,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,3,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,3,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,3,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,4,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 1

[1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 7

[1,2,3,4,5,7,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 6

[1,2,3,4,6,5,7] => [1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 5

[1,2,3,4,6,7,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,7,1,6] => {{1,2,3,4,5,7},{6}} => 6

[1,2,3,4,7,5,6] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 5

[1,2,3,4,7,6,5] => [1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 5

[1,2,3,5,4,6,7] => [1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 4

[1,2,3,5,4,7,6] => [1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => 4

[1,2,3,5,6,4,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,4,6,1,7,5] => {{1,2,3,4,6,7},{5}} => 5

[1,2,3,5,6,7,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 6

[1,2,3,5,7,4,6] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,4,6,1,5,7] => {{1,2,3,4,6},{5},{7}} => 5

[1,2,3,5,7,6,4] => [1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,4,6,1,5,7] => {{1,2,3,4,6},{5},{7}} => 5

[1,2,3,6,4,5,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => 4

[1,2,3,6,4,7,5] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,4,1,7,5,6] => {{1,2,3,4},{5,7},{6}} => 4

[1,2,3,6,5,4,7] => [1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => 4

[1,2,3,6,5,7,4] => [1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,4,1,7,5,6] => {{1,2,3,4},{5,7},{6}} => 4

[1,2,3,6,7,4,5] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,4,7,1,5,6] => {{1,2,3,4,7},{5},{6}} => 5

[1,2,3,6,7,5,4] => [1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,4,7,1,5,6] => {{1,2,3,4,7},{5},{6}} => 5

[1,2,3,7,4,5,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 4

[1,2,3,7,4,6,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 4

[1,2,3,7,5,4,6] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 4

[1,2,3,7,5,6,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 4

[1,2,3,7,6,4,5] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 4

[1,2,3,7,6,5,4] => [1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 4

[1,2,4,3,5,6,7] => [1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 3

[1,2,4,3,5,7,6] => [1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 3

[1,2,4,3,6,5,7] => [1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => 3

[1,2,4,3,6,7,5] => [1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [2,3,1,5,7,4,6] => {{1,2,3},{4,5,7},{6}} => 3

[1,2,4,3,7,5,6] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => 3

[1,2,4,3,7,6,5] => [1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => 3

[1,2,4,5,3,6,7] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [2,3,5,1,6,7,4] => {{1,2,3,5,6,7},{4}} => 4

[1,2,4,5,3,7,6] => [1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,3,5,1,6,4,7] => {{1,2,3,5,6},{4},{7}} => 4

[1,2,4,5,6,3,7] => [1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 5

[1,2,4,5,6,7,3] => [1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,5,6,7,1,4] => {{1,2,3,5,7},{4,6}} => 6

[1,2,4,5,7,3,6] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 5

[1,2,4,5,7,6,3] => [1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 5

[1,2,4,6,3,5,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,7,6] => {{1,2,3,5},{4},{6,7}} => 4

[1,2,4,6,3,7,5] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,5,1,7,4,6] => {{1,2,3,5,7},{4},{6}} => 4

[1,2,4,6,5,3,7] => [1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [2,3,5,1,4,7,6] => {{1,2,3,5},{4},{6,7}} => 4

[1,2,4,6,5,7,3] => [1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [2,3,5,1,7,4,6] => {{1,2,3,5,7},{4},{6}} => 4

[1,2,4,6,7,3,5] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,5,7,1,4,6] => {{1,2,3,5},{4,7},{6}} => 5

[1,2,4,6,7,5,3] => [1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [2,3,5,7,1,4,6] => {{1,2,3,5},{4,7},{6}} => 5

[1,2,4,7,3,5,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,1,4,6,7] => {{1,2,3,5},{4},{6},{7}} => 4

[1,2,4,7,3,6,5] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,1,4,6,7] => {{1,2,3,5},{4},{6},{7}} => 4

[1,2,4,7,5,3,6] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,1,4,6,7] => {{1,2,3,5},{4},{6},{7}} => 4

[1,2,4,7,5,6,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,1,4,6,7] => {{1,2,3,5},{4},{6},{7}} => 4

[1,2,4,7,6,3,5] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,1,4,6,7] => {{1,2,3,5},{4},{6},{7}} => 4

[1,2,4,7,6,5,3] => [1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [2,3,5,1,4,6,7] => {{1,2,3,5},{4},{6},{7}} => 4

[1,2,5,3,4,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 3

[1,2,5,3,4,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => 3

[1,2,5,3,6,4,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,6,4,7,5] => {{1,2,3},{4,6,7},{5}} => 3

[1,2,5,3,6,7,4] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 3

[1,2,5,3,7,4,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,1,6,4,5,7] => {{1,2,3},{4,6},{5},{7}} => 3

[1,2,5,3,7,6,4] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,1,6,4,5,7] => {{1,2,3},{4,6},{5},{7}} => 3

[1,2,5,4,3,6,7] => [1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 3

[1,2,5,4,3,7,6] => [1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => 3

[1,2,5,4,6,3,7] => [1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [2,3,1,6,4,7,5] => {{1,2,3},{4,6,7},{5}} => 3

[1,2,5,4,6,7,3] => [1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 3

[1,2,5,4,7,3,6] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,1,6,4,5,7] => {{1,2,3},{4,6},{5},{7}} => 3

[1,2,5,4,7,6,3] => [1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [2,3,1,6,4,5,7] => {{1,2,3},{4,6},{5},{7}} => 3

[1,2,5,6,3,4,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,3,6,1,4,7,5] => {{1,2,3,6,7},{4},{5}} => 4

[1,2,5,6,3,7,4] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,6,1,7,4,5] => {{1,2,3,6},{4},{5,7}} => 4

[1,2,5,6,4,3,7] => [1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [2,3,6,1,4,7,5] => {{1,2,3,6,7},{4},{5}} => 4

[1,2,5,6,4,7,3] => [1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [2,3,6,1,7,4,5] => {{1,2,3,6},{4},{5,7}} => 4

[1,2,5,6,7,3,4] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,6,7,1,4,5] => {{1,2,3,6},{4,7},{5}} => 5

[1,2,5,6,7,4,3] => [1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,3,6,7,1,4,5] => {{1,2,3,6},{4,7},{5}} => 5

[1,2,5,7,3,4,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,6,1,4,5,7] => {{1,2,3,6},{4},{5},{7}} => 4

[1,2,5,7,3,6,4] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,6,1,4,5,7] => {{1,2,3,6},{4},{5},{7}} => 4

[1,2,5,7,4,3,6] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,6,1,4,5,7] => {{1,2,3,6},{4},{5},{7}} => 4

[1,2,5,7,4,6,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,6,1,4,5,7] => {{1,2,3,6},{4},{5},{7}} => 4

[1,2,5,7,6,3,4] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,6,1,4,5,7] => {{1,2,3,6},{4},{5},{7}} => 4

[1,2,5,7,6,4,3] => [1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [2,3,6,1,4,5,7] => {{1,2,3,6},{4},{5},{7}} => 4

[1,2,6,3,4,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 3

[1,2,6,3,4,7,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,7,5,6] => {{1,2,3},{4},{5,7},{6}} => 3

[1,2,6,3,5,4,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 3

[1,2,6,3,5,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,7,5,6] => {{1,2,3},{4},{5,7},{6}} => 3

[1,2,6,3,7,4,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,7,4,5,6] => {{1,2,3},{4,7},{5},{6}} => 3

[1,2,6,3,7,5,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,7,4,5,6] => {{1,2,3},{4,7},{5},{6}} => 3

[1,2,6,4,3,5,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 3

[1,2,6,4,3,7,5] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,7,5,6] => {{1,2,3},{4},{5,7},{6}} => 3

[1,2,6,4,5,3,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 3

[1,2,6,4,5,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,7,5,6] => {{1,2,3},{4},{5,7},{6}} => 3

[1,2,6,4,7,3,5] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,7,4,5,6] => {{1,2,3},{4,7},{5},{6}} => 3

[1,2,6,4,7,5,3] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,7,4,5,6] => {{1,2,3},{4,7},{5},{6}} => 3

[1,2,6,5,3,4,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 3

[1,2,6,5,3,7,4] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,7,5,6] => {{1,2,3},{4},{5,7},{6}} => 3

[1,2,6,5,4,3,7] => [1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 3

[1,2,6,5,4,7,3] => [1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [2,3,1,4,7,5,6] => {{1,2,3},{4},{5,7},{6}} => 3

[1,2,6,5,7,3,4] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,7,4,5,6] => {{1,2,3},{4,7},{5},{6}} => 3

[1,2,6,5,7,4,3] => [1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [2,3,1,7,4,5,6] => {{1,2,3},{4,7},{5},{6}} => 3

[1,2,6,7,3,4,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,7,1,4,5,6] => {{1,2,3,7},{4},{5},{6}} => 4

[1,2,6,7,3,5,4] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,7,1,4,5,6] => {{1,2,3,7},{4},{5},{6}} => 4

[1,2,6,7,4,3,5] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,7,1,4,5,6] => {{1,2,3,7},{4},{5},{6}} => 4

[1,2,6,7,4,5,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,7,1,4,5,6] => {{1,2,3,7},{4},{5},{6}} => 4

[1,2,6,7,5,3,4] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,7,1,4,5,6] => {{1,2,3,7},{4},{5},{6}} => 4

[1,2,6,7,5,4,3] => [1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [2,3,7,1,4,5,6] => {{1,2,3,7},{4},{5},{6}} => 4

[1,2,7,3,4,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,3,4,6,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,3,5,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,3,5,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,3,6,4,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,3,6,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,4,3,5,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,4,3,6,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,4,5,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,4,5,6,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,4,6,3,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,4,6,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,5,3,4,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,5,3,6,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,5,4,3,6] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,5,4,6,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,5,6,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,5,6,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,6,3,4,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,6,3,5,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,6,4,3,5] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,6,4,5,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,6,5,3,4] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,2,7,6,5,4,3] => [1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 3

[1,3,2,4,5,6,7] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => 2

[1,3,2,4,5,7,6] => [1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}} => 2

[1,3,2,4,6,5,7] => [1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,4,5,3,7,6] => {{1,2},{3,4,5},{6,7}} => 2

[1,3,2,4,6,7,5] => [1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,4,5,7,3,6] => {{1,2},{3,4,5,7},{6}} => 2

[1,3,2,4,7,5,6] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}} => 2

[1,3,2,4,7,6,5] => [1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}} => 2

[1,3,2,5,4,6,7] => [1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,6,7,5] => {{1,2},{3,4},{5,6,7}} => 2

[1,3,2,5,4,7,6] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,7] => {{1,2},{3,4},{5,6},{7}} => 2

[1,3,2,5,6,4,7] => [1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,6,3,7,5] => {{1,2},{3,4,6,7},{5}} => 2

[1,3,2,5,6,7,4] => [1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 2

[1,3,2,5,7,4,6] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5,7] => {{1,2},{3,4,6},{5},{7}} => 2

[1,3,2,5,7,6,4] => [1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,3,5,7] => {{1,2},{3,4,6},{5},{7}} => 2

[1,3,2,6,4,5,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,3,5,7,6] => {{1,2},{3,4},{5},{6,7}} => 2

[1,3,2,6,4,7,5] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,6] => {{1,2},{3,4},{5,7},{6}} => 2

[1,3,2,6,5,4,7] => [1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,4,3,5,7,6] => {{1,2},{3,4},{5},{6,7}} => 2

[1,3,2,6,5,7,4] => [1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,5,6] => {{1,2},{3,4},{5,7},{6}} => 2

[1,3,2,6,7,4,5] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,7,3,5,6] => {{1,2},{3,4,7},{5},{6}} => 2

[1,3,2,6,7,5,4] => [1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,4,7,3,5,6] => {{1,2},{3,4,7},{5},{6}} => 2

[1,3,2,7,4,5,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => 2

[1,3,2,7,4,6,5] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => 2

[1,3,2,7,5,4,6] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => 2

[1,3,2,7,5,6,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => 2

[1,3,2,7,6,4,5] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => 2

[1,3,2,7,6,5,4] => [1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => 2

[1,3,4,2,5,6,7] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,4,1,5,6,7,3] => {{1,2,4,5,6,7},{3}} => 3

[1,3,4,2,5,7,6] => [1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [2,4,1,5,6,3,7] => {{1,2,4,5,6},{3},{7}} => 3

[1,3,4,2,6,5,7] => [1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [2,4,1,5,3,7,6] => {{1,2,4,5},{3},{6,7}} => 3

[1,3,4,2,6,7,5] => [1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [2,4,1,5,7,3,6] => {{1,2,4,5,7},{3},{6}} => 3

[1,3,4,2,7,5,6] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,4,1,5,3,6,7] => {{1,2,4,5},{3},{6},{7}} => 3

[1,3,4,2,7,6,5] => [1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [2,4,1,5,3,6,7] => {{1,2,4,5},{3},{6},{7}} => 3

[1,3,4,5,2,6,7] => [1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 4

[1,3,4,5,2,7,6] => [1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 4

[1,3,4,5,6,2,7] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [2,4,5,6,1,7,3] => {{1,2,4,6,7},{3,5}} => 5

[1,3,4,5,6,7,2] => [1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 6

[1,3,4,5,7,2,6] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,6,1,3,7] => {{1,2,4,6},{3,5},{7}} => 5

[1,3,4,5,7,6,2] => [1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [2,4,5,6,1,3,7] => {{1,2,4,6},{3,5},{7}} => 5

[1,3,4,6,2,5,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 4

[1,3,4,6,2,7,5] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,4,5,1,7,3,6] => {{1,2,4},{3,5,7},{6}} => 4

[1,3,4,6,5,2,7] => [1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 4

[1,3,4,6,5,7,2] => [1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [2,4,5,1,7,3,6] => {{1,2,4},{3,5,7},{6}} => 4

[1,3,4,6,7,2,5] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,7,1,3,6] => {{1,2,4,7},{3,5},{6}} => 5

[1,3,4,6,7,5,2] => [1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [2,4,5,7,1,3,6] => {{1,2,4,7},{3,5},{6}} => 5

[1,3,4,7,2,5,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 4

[1,3,4,7,2,6,5] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 4

[1,3,4,7,5,2,6] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 4

[1,3,4,7,5,6,2] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 4

[1,3,4,7,6,2,5] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 4

[1,3,4,7,6,5,2] => [1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 4

[1,3,5,2,4,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,6,7,5] => {{1,2,4},{3},{5,6,7}} => 3

[1,3,5,2,4,7,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5,7] => {{1,2,4},{3},{5,6},{7}} => 3

[1,3,5,2,6,4,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,6,3,7,5] => {{1,2,4,6,7},{3},{5}} => 3

[1,3,5,2,6,7,4] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,6,7,3,5] => {{1,2,4,6},{3},{5,7}} => 3

[1,3,5,2,7,4,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5,7] => {{1,2,4,6},{3},{5},{7}} => 3

[1,3,5,2,7,6,4] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5,7] => {{1,2,4,6},{3},{5},{7}} => 3

[1,3,5,4,2,6,7] => [1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,1,3,6,7,5] => {{1,2,4},{3},{5,6,7}} => 3

[1,3,5,4,2,7,6] => [1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,1,3,6,5,7] => {{1,2,4},{3},{5,6},{7}} => 3

[1,3,5,4,6,2,7] => [1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,1,6,3,7,5] => {{1,2,4,6,7},{3},{5}} => 3

[1,3,5,4,6,7,2] => [1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,1,6,7,3,5] => {{1,2,4,6},{3},{5,7}} => 3

[1,3,5,4,7,2,6] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5,7] => {{1,2,4,6},{3},{5},{7}} => 3

[1,3,5,4,7,6,2] => [1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,1,6,3,5,7] => {{1,2,4,6},{3},{5},{7}} => 3

[1,3,5,6,2,4,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,6,1,3,7,5] => {{1,2,4},{3,6,7},{5}} => 4

[1,3,5,6,2,7,4] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 4

[1,3,5,6,4,2,7] => [1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,6,1,3,7,5] => {{1,2,4},{3,6,7},{5}} => 4

[1,3,5,6,4,7,2] => [1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 4

[1,3,5,6,7,2,4] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,6,7,1,3,5] => {{1,2,4,7},{3,6},{5}} => 5

[1,3,5,6,7,4,2] => [1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,6,7,1,3,5] => {{1,2,4,7},{3,6},{5}} => 5

[1,3,5,7,2,4,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5,7] => {{1,2,4},{3,6},{5},{7}} => 4

[1,3,5,7,2,6,4] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5,7] => {{1,2,4},{3,6},{5},{7}} => 4

[1,3,5,7,4,2,6] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5,7] => {{1,2,4},{3,6},{5},{7}} => 4

[1,3,5,7,4,6,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5,7] => {{1,2,4},{3,6},{5},{7}} => 4

[1,3,5,7,6,2,4] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5,7] => {{1,2,4},{3,6},{5},{7}} => 4

[1,3,5,7,6,4,2] => [1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,1,3,5,7] => {{1,2,4},{3,6},{5},{7}} => 4

[1,3,6,2,4,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,4,1,3,5,7,6] => {{1,2,4},{3},{5},{6,7}} => 3

[1,3,6,2,4,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,3,7,5,6] => {{1,2,4},{3},{5,7},{6}} => 3

[1,3,6,2,5,4,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,4,1,3,5,7,6] => {{1,2,4},{3},{5},{6,7}} => 3

[1,3,6,2,5,7,4] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,3,7,5,6] => {{1,2,4},{3},{5,7},{6}} => 3

[1,3,6,2,7,4,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,1,7,3,5,6] => {{1,2,4,7},{3},{5},{6}} => 3

[1,3,6,2,7,5,4] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,1,7,3,5,6] => {{1,2,4,7},{3},{5},{6}} => 3

[1,3,6,4,2,5,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,4,1,3,5,7,6] => {{1,2,4},{3},{5},{6,7}} => 3

[1,3,6,4,2,7,5] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,3,7,5,6] => {{1,2,4},{3},{5,7},{6}} => 3

[1,3,6,4,5,2,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,4,1,3,5,7,6] => {{1,2,4},{3},{5},{6,7}} => 3

[1,3,6,4,5,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,3,7,5,6] => {{1,2,4},{3},{5,7},{6}} => 3

[1,3,6,4,7,2,5] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,1,7,3,5,6] => {{1,2,4,7},{3},{5},{6}} => 3

[1,3,6,4,7,5,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,1,7,3,5,6] => {{1,2,4,7},{3},{5},{6}} => 3

[1,3,6,5,2,4,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,4,1,3,5,7,6] => {{1,2,4},{3},{5},{6,7}} => 3

[1,3,6,5,2,7,4] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,3,7,5,6] => {{1,2,4},{3},{5,7},{6}} => 3

[1,3,6,5,4,2,7] => [1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [2,4,1,3,5,7,6] => {{1,2,4},{3},{5},{6,7}} => 3

[1,3,6,5,4,7,2] => [1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [2,4,1,3,7,5,6] => {{1,2,4},{3},{5,7},{6}} => 3

[1,3,6,5,7,2,4] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,1,7,3,5,6] => {{1,2,4,7},{3},{5},{6}} => 3

[1,3,6,5,7,4,2] => [1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [2,4,1,7,3,5,6] => {{1,2,4,7},{3},{5},{6}} => 3

[1,3,6,7,2,4,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,7,1,3,5,6] => {{1,2,4},{3,7},{5},{6}} => 4

[1,3,6,7,2,5,4] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,7,1,3,5,6] => {{1,2,4},{3,7},{5},{6}} => 4

[1,3,6,7,4,2,5] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,7,1,3,5,6] => {{1,2,4},{3,7},{5},{6}} => 4

[1,3,6,7,4,5,2] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,7,1,3,5,6] => {{1,2,4},{3,7},{5},{6}} => 4

[1,3,6,7,5,2,4] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,7,1,3,5,6] => {{1,2,4},{3,7},{5},{6}} => 4

[1,3,6,7,5,4,2] => [1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [2,4,7,1,3,5,6] => {{1,2,4},{3,7},{5},{6}} => 4

[1,3,7,2,4,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,2,4,6,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,2,5,4,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,2,5,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,2,6,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,2,6,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,4,2,5,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,4,2,6,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,4,5,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,4,5,6,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,4,6,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,4,6,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,5,2,4,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,5,2,6,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,5,4,2,6] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,5,4,6,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,5,6,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,5,6,4,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,6,2,4,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,6,2,5,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,6,4,2,5] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,6,4,5,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,6,5,2,4] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,3,7,6,5,4,2] => [1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [2,4,1,3,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => 3

[1,4,2,3,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => 2

[1,4,2,3,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}} => 2

[1,4,2,3,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,3,5,4,7,6] => {{1,2},{3},{4,5},{6,7}} => 2

[1,4,2,3,6,7,5] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,1,3,5,7,4,6] => {{1,2},{3},{4,5,7},{6}} => 2

[1,4,2,3,7,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}} => 2

[1,4,2,3,7,6,5] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}} => 2

[1,4,2,5,3,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4] => {{1,2},{3,5,6,7},{4}} => 2

[1,4,2,5,3,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,7] => {{1,2},{3,5,6},{4},{7}} => 2

[1,4,2,5,6,3,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 2

[1,4,2,5,6,7,3] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,1,5,6,7,3,4] => {{1,2},{3,5,7},{4,6}} => 2

[1,4,2,5,7,3,6] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 2

[1,4,2,5,7,6,3] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 2

[1,4,2,6,3,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,5,3,4,7,6] => {{1,2},{3,5},{4},{6,7}} => 2

[1,4,2,6,3,7,5] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,6] => {{1,2},{3,5,7},{4},{6}} => 2

[1,4,2,6,5,3,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,5,3,4,7,6] => {{1,2},{3,5},{4},{6,7}} => 2

[1,4,2,6,5,7,3] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,6] => {{1,2},{3,5,7},{4},{6}} => 2

[1,4,2,6,7,3,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,5,7,3,4,6] => {{1,2},{3,5},{4,7},{6}} => 2

[1,4,2,6,7,5,3] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,5,7,3,4,6] => {{1,2},{3,5},{4,7},{6}} => 2

[1,4,2,7,3,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,2,7,3,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,2,7,5,3,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,2,7,5,6,3] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,2,7,6,3,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,2,7,6,5,3] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,3,2,5,6,7] => [1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => 2

[1,4,3,2,5,7,6] => [1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}} => 2

[1,4,3,2,6,5,7] => [1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [2,1,3,5,4,7,6] => {{1,2},{3},{4,5},{6,7}} => 2

[1,4,3,2,6,7,5] => [1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [2,1,3,5,7,4,6] => {{1,2},{3},{4,5,7},{6}} => 2

[1,4,3,2,7,5,6] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}} => 2

[1,4,3,2,7,6,5] => [1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}} => 2

[1,4,3,5,2,6,7] => [1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [2,1,5,3,6,7,4] => {{1,2},{3,5,6,7},{4}} => 2

[1,4,3,5,2,7,6] => [1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,3,6,4,7] => {{1,2},{3,5,6},{4},{7}} => 2

[1,4,3,5,6,2,7] => [1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 2

[1,4,3,5,6,7,2] => [1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,1,5,6,7,3,4] => {{1,2},{3,5,7},{4,6}} => 2

[1,4,3,5,7,2,6] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 2

[1,4,3,5,7,6,2] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 2

[1,4,3,6,2,5,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,5,3,4,7,6] => {{1,2},{3,5},{4},{6,7}} => 2

[1,4,3,6,2,7,5] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,6] => {{1,2},{3,5,7},{4},{6}} => 2

[1,4,3,6,5,2,7] => [1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [2,1,5,3,4,7,6] => {{1,2},{3,5},{4},{6,7}} => 2

[1,4,3,6,5,7,2] => [1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,3,7,4,6] => {{1,2},{3,5,7},{4},{6}} => 2

[1,4,3,6,7,2,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,5,7,3,4,6] => {{1,2},{3,5},{4,7},{6}} => 2

[1,4,3,6,7,5,2] => [1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [2,1,5,7,3,4,6] => {{1,2},{3,5},{4,7},{6}} => 2

[1,4,3,7,2,5,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,3,7,2,6,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,3,7,5,2,6] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,3,7,5,6,2] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,3,7,6,2,5] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,3,7,6,5,2] => [1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [2,1,5,3,4,6,7] => {{1,2},{3,5},{4},{6},{7}} => 2

[1,4,5,2,3,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,5,1,3,6,7,4] => {{1,2,5,6,7},{3},{4}} => 3

[1,4,5,2,3,7,6] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,5,1,3,6,4,7] => {{1,2,5,6},{3},{4},{7}} => 3

[1,4,5,2,6,3,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,5,1,6,3,7,4] => {{1,2,5},{3},{4,6,7}} => 3

[1,4,5,2,6,7,3] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,5,1,6,7,3,4] => {{1,2,5,7},{3},{4,6}} => 3

[1,4,5,2,7,3,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,5,1,6,3,4,7] => {{1,2,5},{3},{4,6},{7}} => 3

[1,4,5,2,7,6,3] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,5,1,6,3,4,7] => {{1,2,5},{3},{4,6},{7}} => 3

[1,4,5,3,2,6,7] => [1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [2,5,1,3,6,7,4] => {{1,2,5,6,7},{3},{4}} => 3

[1,4,5,3,2,7,6] => [1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [2,5,1,3,6,4,7] => {{1,2,5,6},{3},{4},{7}} => 3

[1,4,5,3,6,2,7] => [1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [2,5,1,6,3,7,4] => {{1,2,5},{3},{4,6,7}} => 3

[1,4,5,3,6,7,2] => [1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [2,5,1,6,7,3,4] => {{1,2,5,7},{3},{4,6}} => 3

[1,4,5,3,7,2,6] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,5,1,6,3,4,7] => {{1,2,5},{3},{4,6},{7}} => 3

[1,4,5,3,7,6,2] => [1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [2,5,1,6,3,4,7] => {{1,2,5},{3},{4,6},{7}} => 3

[1,4,5,6,2,3,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,5,6,1,3,7,4] => {{1,2,5},{3,6,7},{4}} => 4

[1,4,5,6,2,7,3] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,5,6,1,7,3,4] => {{1,2,5,7},{3,6},{4}} => 4

[1,4,5,6,3,2,7] => [1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [2,5,6,1,3,7,4] => {{1,2,5},{3,6,7},{4}} => 4

[1,4,5,6,3,7,2] => [1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [2,5,6,1,7,3,4] => {{1,2,5,7},{3,6},{4}} => 4

[1,4,5,6,7,2,3] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 5

[1,4,5,6,7,3,2] => [1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 5

[1,4,5,7,2,3,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,5,6,1,3,4,7] => {{1,2,5},{3,6},{4},{7}} => 4

[1,4,5,7,2,6,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,5,6,1,3,4,7] => {{1,2,5},{3,6},{4},{7}} => 4

[1,4,5,7,3,2,6] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,5,6,1,3,4,7] => {{1,2,5},{3,6},{4},{7}} => 4

[1,4,5,7,3,6,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,5,6,1,3,4,7] => {{1,2,5},{3,6},{4},{7}} => 4

[1,4,5,7,6,2,3] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,5,6,1,3,4,7] => {{1,2,5},{3,6},{4},{7}} => 4

[1,4,5,7,6,3,2] => [1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [2,5,6,1,3,4,7] => {{1,2,5},{3,6},{4},{7}} => 4

[1,4,6,2,3,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1,3,4,7,6] => {{1,2,5},{3},{4},{6,7}} => 3

[1,4,6,2,3,7,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,5,1,3,7,4,6] => {{1,2,5,7},{3},{4},{6}} => 3

[1,4,6,2,5,3,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1,3,4,7,6] => {{1,2,5},{3},{4},{6,7}} => 3

[1,4,6,2,5,7,3] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,5,1,3,7,4,6] => {{1,2,5,7},{3},{4},{6}} => 3

[1,4,6,2,7,3,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,5,1,7,3,4,6] => {{1,2,5},{3},{4,7},{6}} => 3

[1,4,6,2,7,5,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,5,1,7,3,4,6] => {{1,2,5},{3},{4,7},{6}} => 3

[1,4,6,3,2,5,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1,3,4,7,6] => {{1,2,5},{3},{4},{6,7}} => 3

[1,4,6,3,2,7,5] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,5,1,3,7,4,6] => {{1,2,5,7},{3},{4},{6}} => 3

[1,4,6,3,5,2,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1,3,4,7,6] => {{1,2,5},{3},{4},{6,7}} => 3

[1,4,6,3,5,7,2] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,5,1,3,7,4,6] => {{1,2,5,7},{3},{4},{6}} => 3

[1,4,6,3,7,2,5] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,5,1,7,3,4,6] => {{1,2,5},{3},{4,7},{6}} => 3

[1,4,6,3,7,5,2] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,5,1,7,3,4,6] => {{1,2,5},{3},{4,7},{6}} => 3

[1,4,6,5,2,3,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1,3,4,7,6] => {{1,2,5},{3},{4},{6,7}} => 3

[1,4,6,5,2,7,3] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,5,1,3,7,4,6] => {{1,2,5,7},{3},{4},{6}} => 3

[1,4,6,5,3,2,7] => [1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [2,5,1,3,4,7,6] => {{1,2,5},{3},{4},{6,7}} => 3

[1,4,6,5,3,7,2] => [1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [2,5,1,3,7,4,6] => {{1,2,5,7},{3},{4},{6}} => 3

[1,4,6,5,7,2,3] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,5,1,7,3,4,6] => {{1,2,5},{3},{4,7},{6}} => 3

[1,4,6,5,7,3,2] => [1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [2,5,1,7,3,4,6] => {{1,2,5},{3},{4,7},{6}} => 3

[1,4,6,7,2,3,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,5,7,1,3,4,6] => {{1,2,5},{3,7},{4},{6}} => 4

[1,4,6,7,2,5,3] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,5,7,1,3,4,6] => {{1,2,5},{3,7},{4},{6}} => 4

[1,4,6,7,3,2,5] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,5,7,1,3,4,6] => {{1,2,5},{3,7},{4},{6}} => 4

[1,4,6,7,3,5,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,5,7,1,3,4,6] => {{1,2,5},{3,7},{4},{6}} => 4

[1,4,6,7,5,2,3] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,5,7,1,3,4,6] => {{1,2,5},{3,7},{4},{6}} => 4

[1,4,6,7,5,3,2] => [1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [2,5,7,1,3,4,6] => {{1,2,5},{3,7},{4},{6}} => 4

[1,4,7,2,3,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,2,3,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,2,5,3,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,2,5,6,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,2,6,3,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,2,6,5,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,3,2,5,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,3,2,6,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,3,5,2,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,3,5,6,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,3,6,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,3,6,5,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,5,2,3,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,5,2,6,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,5,3,2,6] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,5,3,6,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,5,6,2,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,5,6,3,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,6,2,3,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,6,2,5,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,6,3,2,5] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,6,3,5,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,6,5,2,3] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,4,7,6,5,3,2] => [1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [2,5,1,3,4,6,7] => {{1,2,5},{3},{4},{6},{7}} => 3

[1,5,2,3,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => 2

[1,5,2,3,4,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => 2

[1,5,2,3,6,4,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,7,5] => {{1,2},{3},{4,6,7},{5}} => 2

[1,5,2,3,6,7,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 2

[1,5,2,3,7,4,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,2,3,7,6,4] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,2,4,3,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => 2

[1,5,2,4,3,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => 2

[1,5,2,4,6,3,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,7,5] => {{1,2},{3},{4,6,7},{5}} => 2

[1,5,2,4,6,7,3] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 2

[1,5,2,4,7,3,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,2,4,7,6,3] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,2,6,3,4,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,6,3,4,7,5] => {{1,2},{3,6,7},{4},{5}} => 2

[1,5,2,6,3,7,4] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,5] => {{1,2},{3,6},{4},{5,7}} => 2

[1,5,2,6,4,3,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,6,3,4,7,5] => {{1,2},{3,6,7},{4},{5}} => 2

[1,5,2,6,4,7,3] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,5] => {{1,2},{3,6},{4},{5,7}} => 2

[1,5,2,6,7,3,4] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,7,3,4,5] => {{1,2},{3,6},{4,7},{5}} => 2

[1,5,2,6,7,4,3] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,7,3,4,5] => {{1,2},{3,6},{4,7},{5}} => 2

[1,5,2,7,3,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,2,7,3,6,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,2,7,4,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,2,7,4,6,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,2,7,6,3,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,2,7,6,4,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,3,2,4,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => 2

[1,5,3,2,4,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => 2

[1,5,3,2,6,4,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,7,5] => {{1,2},{3},{4,6,7},{5}} => 2

[1,5,3,2,6,7,4] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 2

[1,5,3,2,7,4,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,3,2,7,6,4] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,3,4,2,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => 2

[1,5,3,4,2,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => 2

[1,5,3,4,6,2,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,7,5] => {{1,2},{3},{4,6,7},{5}} => 2

[1,5,3,4,6,7,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 2

[1,5,3,4,7,2,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,3,4,7,6,2] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,3,6,2,4,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,6,3,4,7,5] => {{1,2},{3,6,7},{4},{5}} => 2

[1,5,3,6,2,7,4] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,5] => {{1,2},{3,6},{4},{5,7}} => 2

[1,5,3,6,4,2,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,6,3,4,7,5] => {{1,2},{3,6,7},{4},{5}} => 2

[1,5,3,6,4,7,2] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,5] => {{1,2},{3,6},{4},{5,7}} => 2

[1,5,3,6,7,2,4] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,7,3,4,5] => {{1,2},{3,6},{4,7},{5}} => 2

[1,5,3,6,7,4,2] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,7,3,4,5] => {{1,2},{3,6},{4,7},{5}} => 2

[1,5,3,7,2,4,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,3,7,2,6,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,3,7,4,2,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,3,7,4,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,3,7,6,2,4] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,3,7,6,4,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,4,2,3,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => 2

[1,5,4,2,3,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => 2

[1,5,4,2,6,3,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,7,5] => {{1,2},{3},{4,6,7},{5}} => 2

[1,5,4,2,6,7,3] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 2

[1,5,4,2,7,3,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,4,2,7,6,3] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,4,3,2,6,7] => [1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => 2

[1,5,4,3,2,7,6] => [1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => 2

[1,5,4,3,6,2,7] => [1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [2,1,3,6,4,7,5] => {{1,2},{3},{4,6,7},{5}} => 2

[1,5,4,3,6,7,2] => [1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 2

[1,5,4,3,7,2,6] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,4,3,7,6,2] => [1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,6},{5},{7}} => 2

[1,5,4,6,2,3,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,6,3,4,7,5] => {{1,2},{3,6,7},{4},{5}} => 2

[1,5,4,6,2,7,3] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,5] => {{1,2},{3,6},{4},{5,7}} => 2

[1,5,4,6,3,2,7] => [1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [2,1,6,3,4,7,5] => {{1,2},{3,6,7},{4},{5}} => 2

[1,5,4,6,3,7,2] => [1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,3,7,4,5] => {{1,2},{3,6},{4},{5,7}} => 2

[1,5,4,6,7,2,3] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,7,3,4,5] => {{1,2},{3,6},{4,7},{5}} => 2

[1,5,4,6,7,3,2] => [1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [2,1,6,7,3,4,5] => {{1,2},{3,6},{4,7},{5}} => 2

[1,5,4,7,2,3,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,4,7,2,6,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,4,7,3,2,6] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,4,7,3,6,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,4,7,6,2,3] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,4,7,6,3,2] => [1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [2,1,6,3,4,5,7] => {{1,2},{3,6},{4},{5},{7}} => 2

[1,5,6,2,3,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,6,1,3,4,7,5] => {{1,2,6,7},{3},{4},{5}} => 3

[1,5,6,2,3,7,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6,1,3,7,4,5] => {{1,2,6},{3},{4},{5,7}} => 3

[1,5,6,2,4,3,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,6,1,3,4,7,5] => {{1,2,6,7},{3},{4},{5}} => 3

[1,5,6,2,4,7,3] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6,1,3,7,4,5] => {{1,2,6},{3},{4},{5,7}} => 3

[1,5,6,2,7,3,4] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6,1,7,3,4,5] => {{1,2,6},{3},{4,7},{5}} => 3

[1,5,6,2,7,4,3] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6,1,7,3,4,5] => {{1,2,6},{3},{4,7},{5}} => 3

[1,5,6,3,2,4,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,6,1,3,4,7,5] => {{1,2,6,7},{3},{4},{5}} => 3

[1,5,6,3,2,7,4] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6,1,3,7,4,5] => {{1,2,6},{3},{4},{5,7}} => 3

[1,5,6,3,4,2,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,6,1,3,4,7,5] => {{1,2,6,7},{3},{4},{5}} => 3

[1,5,6,3,4,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6,1,3,7,4,5] => {{1,2,6},{3},{4},{5,7}} => 3

[1,5,6,3,7,2,4] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6,1,7,3,4,5] => {{1,2,6},{3},{4,7},{5}} => 3

[1,5,6,3,7,4,2] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6,1,7,3,4,5] => {{1,2,6},{3},{4,7},{5}} => 3

[1,5,6,4,2,3,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,6,1,3,4,7,5] => {{1,2,6,7},{3},{4},{5}} => 3

[1,5,6,4,2,7,3] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6,1,3,7,4,5] => {{1,2,6},{3},{4},{5,7}} => 3

[1,5,6,4,3,2,7] => [1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [2,6,1,3,4,7,5] => {{1,2,6,7},{3},{4},{5}} => 3

[1,5,6,4,3,7,2] => [1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [2,6,1,3,7,4,5] => {{1,2,6},{3},{4},{5,7}} => 3

[1,5,6,4,7,2,3] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6,1,7,3,4,5] => {{1,2,6},{3},{4,7},{5}} => 3

[1,5,6,4,7,3,2] => [1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [2,6,1,7,3,4,5] => {{1,2,6},{3},{4,7},{5}} => 3

[1,5,6,7,2,3,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6,7,1,3,4,5] => {{1,2,6},{3,7},{4},{5}} => 4

[1,5,6,7,2,4,3] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6,7,1,3,4,5] => {{1,2,6},{3,7},{4},{5}} => 4

[1,5,6,7,3,2,4] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6,7,1,3,4,5] => {{1,2,6},{3,7},{4},{5}} => 4

[1,5,6,7,3,4,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6,7,1,3,4,5] => {{1,2,6},{3,7},{4},{5}} => 4

[1,5,6,7,4,2,3] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6,7,1,3,4,5] => {{1,2,6},{3,7},{4},{5}} => 4

[1,5,6,7,4,3,2] => [1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,6,7,1,3,4,5] => {{1,2,6},{3,7},{4},{5}} => 4

[1,5,7,2,3,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,2,3,6,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,2,4,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,2,4,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,2,6,3,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,2,6,4,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,3,2,4,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,3,2,6,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,3,4,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,3,4,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,3,6,2,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,3,6,4,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,4,2,3,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,4,2,6,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,4,3,2,6] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,4,3,6,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,4,6,2,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,4,6,3,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,6,2,3,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,6,2,4,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,6,3,2,4] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,6,3,4,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,6,4,2,3] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,5,7,6,4,3,2] => [1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [2,6,1,3,4,5,7] => {{1,2,6},{3},{4},{5},{7}} => 3

[1,6,2,3,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,2,3,4,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,2,3,5,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,2,3,5,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,2,3,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,2,3,7,5,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,2,4,3,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,2,4,3,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,2,4,5,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,2,4,5,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,2,4,7,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,2,4,7,5,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,2,5,3,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,2,5,3,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,2,5,4,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,2,5,4,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,2,5,7,3,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,2,5,7,4,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,2,7,3,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,2,7,3,5,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,2,7,4,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,2,7,4,5,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,2,7,5,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,2,7,5,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,3,2,4,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,3,2,4,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,3,2,5,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,3,2,5,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,3,2,7,4,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,3,2,7,5,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,3,4,2,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,3,4,2,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,3,4,5,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,3,4,5,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,3,4,7,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,3,4,7,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,3,5,2,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,3,5,2,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,3,5,4,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,3,5,4,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,3,5,7,2,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,3,5,7,4,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,3,7,2,4,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,3,7,2,5,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,3,7,4,2,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,3,7,4,5,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,3,7,5,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,3,7,5,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,4,2,3,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,4,2,3,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,4,2,5,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,4,2,5,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,4,2,7,3,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,4,2,7,5,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,4,3,2,5,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,4,3,2,7,5] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,4,3,5,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,4,3,5,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,4,3,7,2,5] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,4,3,7,5,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,4,5,2,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,4,5,2,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,4,5,3,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,4,5,3,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,4,5,7,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,4,5,7,3,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,4,7,2,3,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,4,7,2,5,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,4,7,3,2,5] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,4,7,3,5,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,4,7,5,2,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,4,7,5,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,5,2,3,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,5,2,3,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,5,2,4,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,5,2,4,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,5,2,7,3,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,5,2,7,4,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,5,3,2,4,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,5,3,2,7,4] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,5,3,4,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,5,3,4,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,5,3,7,2,4] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,5,3,7,4,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,5,4,2,3,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,5,4,2,7,3] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,5,4,3,2,7] => [1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 2

[1,6,5,4,3,7,2] => [1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,7},{6}} => 2

[1,6,5,4,7,2,3] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,5,4,7,3,2] => [1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,7},{5},{6}} => 2

[1,6,5,7,2,3,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,5,7,2,4,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,5,7,3,2,4] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,5,7,3,4,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,5,7,4,2,3] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,5,7,4,3,2] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [2,1,7,3,4,5,6] => {{1,2},{3,7},{4},{5},{6}} => 2

[1,6,7,2,3,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,2,3,5,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,2,4,3,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,2,4,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,2,5,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,2,5,4,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,3,2,4,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,3,2,5,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,3,4,2,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,3,4,5,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,3,5,2,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,3,5,4,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,4,2,3,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,4,2,5,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,4,3,2,5] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,4,3,5,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,4,5,2,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,4,5,3,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,5,2,3,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,5,2,4,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,5,3,2,4] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,5,3,4,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,5,4,2,3] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,6,7,5,4,3,2] => [1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [2,7,1,3,4,5,6] => {{1,2,7},{3},{4},{5},{6}} => 3

[1,7,2,3,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,3,4,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,3,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,3,5,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,3,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,3,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,4,3,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,4,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,4,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,4,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,4,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,4,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,5,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,5,3,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,5,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,5,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,5,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,5,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,6,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,6,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,6,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,6,4,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,6,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,2,6,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,2,4,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,2,4,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,2,5,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,2,5,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,2,6,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,2,6,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,4,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,4,2,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,4,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,4,5,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,4,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,4,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,5,2,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,5,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,5,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,5,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,5,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,5,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,6,2,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,6,2,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,6,4,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,6,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,6,5,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,3,6,5,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,2,3,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,2,3,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,2,5,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,2,5,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,2,6,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,2,6,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,3,2,5,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,3,2,6,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,3,5,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,3,5,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,3,6,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,3,6,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,5,2,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,5,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,5,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,5,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,5,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,5,6,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,6,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,6,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,6,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,6,3,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,6,5,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,4,6,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,2,3,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,2,3,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,2,4,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,2,4,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,2,6,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,2,6,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,3,2,4,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,3,2,6,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,3,4,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,3,4,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,3,6,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,3,6,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,4,2,3,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,4,2,6,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,4,3,2,6] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,4,3,6,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,4,6,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,4,6,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,6,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,6,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,6,3,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,6,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,6,4,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,5,6,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,2,3,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,2,3,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,2,4,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,2,4,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,2,5,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,2,5,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,3,2,4,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,3,2,5,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,3,4,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,3,4,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,3,5,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,3,5,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,4,2,3,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,4,2,5,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,4,3,2,5] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,4,3,5,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,4,5,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,4,5,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,5,2,3,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,5,2,4,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,5,3,2,4] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,5,3,4,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,5,4,2,3] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[1,7,6,5,4,3,2] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 2

[2,1,3,4,5,6,7] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => 1

[2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => 1

[2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,3,4,5,7,2,6] => {{1},{2,3,4,5,7},{6}} => 1

[2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => 1

[2,1,3,4,7,6,5] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => 1

[2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => 1

[2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,3,4,6,2,7,5] => {{1},{2,3,4,6,7},{5}} => 1

[2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,4,6,2,5,7] => {{1},{2,3,4,6},{5},{7}} => 1

[2,1,3,5,7,6,4] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,4,6,2,5,7] => {{1},{2,3,4,6},{5},{7}} => 1

[2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => 1

[2,1,3,6,4,7,5] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,7},{6}} => 1

[2,1,3,6,5,4,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => 1

[2,1,3,6,5,7,4] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,7},{6}} => 1

[2,1,3,6,7,4,5] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,4,7,2,5,6] => {{1},{2,3,4,7},{5},{6}} => 1

[2,1,3,6,7,5,4] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,4,7,2,5,6] => {{1},{2,3,4,7},{5},{6}} => 1

[2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => 1

[2,1,3,7,4,6,5] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => 1

[2,1,3,7,5,4,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => 1

[2,1,3,7,5,6,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => 1

[2,1,3,7,6,4,5] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => 1

[2,1,3,7,6,5,4] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => 1

[2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => 1

[2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => 1

[2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => 1

[2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,7},{6}} => 1

[2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => 1

[2,1,4,3,7,6,5] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => 1

[2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,3,5,2,6,7,4] => {{1},{2,3,5,6,7},{4}} => 1

[2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,3,5,2,6,4,7] => {{1},{2,3,5,6},{4},{7}} => 1

[2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,5,6,7,2,4] => {{1},{2,3,5,7},{4,6}} => 1

[2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 1

[2,1,4,5,7,6,3] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 1

[2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,7,6] => {{1},{2,3,5},{4},{6,7}} => 1

[2,1,4,6,3,7,5] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,7,4,6] => {{1},{2,3,5,7},{4},{6}} => 1

[2,1,4,6,5,3,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,7,6] => {{1},{2,3,5},{4},{6,7}} => 1

[2,1,4,6,5,7,3] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,7,4,6] => {{1},{2,3,5,7},{4},{6}} => 1

[2,1,4,6,7,3,5] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,7},{6}} => 1

[2,1,4,6,7,5,3] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,7},{6}} => 1

[2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => {{1},{2,3,5},{4},{6},{7}} => 1

[2,1,4,7,3,6,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => {{1},{2,3,5},{4},{6},{7}} => 1

[2,1,4,7,5,3,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => {{1},{2,3,5},{4},{6},{7}} => 1

[2,1,4,7,5,6,3] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => {{1},{2,3,5},{4},{6},{7}} => 1

[2,1,4,7,6,3,5] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => {{1},{2,3,5},{4},{6},{7}} => 1

[2,1,4,7,6,5,3] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => {{1},{2,3,5},{4},{6},{7}} => 1

[2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => 1

[2,1,5,3,4,7,6] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => 1

[2,1,5,3,6,4,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,6,7},{5}} => 1

[2,1,5,3,6,7,4] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => 1

[2,1,5,3,7,4,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,6},{5},{7}} => 1

[2,1,5,3,7,6,4] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,6},{5},{7}} => 1

[2,1,5,4,3,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => 1

[2,1,5,4,3,7,6] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => 1

[2,1,5,4,6,3,7] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,6,7},{5}} => 1

[2,1,5,4,6,7,3] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => 1

[2,1,5,4,7,3,6] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,6},{5},{7}} => 1

[2,1,5,4,7,6,3] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,6},{5},{7}} => 1

[2,1,5,6,3,4,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,3,6,2,4,7,5] => {{1},{2,3,6,7},{4},{5}} => 1

[2,1,5,6,3,7,4] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,6,2,7,4,5] => {{1},{2,3,6},{4},{5,7}} => 1

[2,1,5,6,4,3,7] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,3,6,2,4,7,5] => {{1},{2,3,6,7},{4},{5}} => 1

[2,1,5,6,4,7,3] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,6,2,7,4,5] => {{1},{2,3,6},{4},{5,7}} => 1

[2,1,5,6,7,3,4] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,3,6,7,2,4,5] => {{1},{2,3,6},{4,7},{5}} => 1

[2,1,5,6,7,4,3] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,3,6,7,2,4,5] => {{1},{2,3,6},{4,7},{5}} => 1

[2,1,5,7,3,4,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => {{1},{2,3,6},{4},{5},{7}} => 1

[2,1,5,7,3,6,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => {{1},{2,3,6},{4},{5},{7}} => 1

[2,1,5,7,4,3,6] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => {{1},{2,3,6},{4},{5},{7}} => 1

[2,1,5,7,4,6,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => {{1},{2,3,6},{4},{5},{7}} => 1

[2,1,5,7,6,3,4] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => {{1},{2,3,6},{4},{5},{7}} => 1

[2,1,5,7,6,4,3] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => {{1},{2,3,6},{4},{5},{7}} => 1

[2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => 1

[2,1,6,3,4,7,5] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,7},{6}} => 1

[2,1,6,3,5,4,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => 1

[2,1,6,3,5,7,4] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,7},{6}} => 1

[2,1,6,3,7,4,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,7},{5},{6}} => 1

[2,1,6,3,7,5,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,7},{5},{6}} => 1

[2,1,6,4,3,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => 1

[2,1,6,4,3,7,5] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,7},{6}} => 1

[2,1,6,4,5,3,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => 1

[2,1,6,4,5,7,3] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,7},{6}} => 1

[2,1,6,4,7,3,5] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,7},{5},{6}} => 1

[2,1,6,4,7,5,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,7},{5},{6}} => 1

[2,1,6,5,3,4,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => 1

[2,1,6,5,3,7,4] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,7},{6}} => 1

[2,1,6,5,4,3,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => 1

[2,1,6,5,4,7,3] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,7},{6}} => 1

[2,1,6,5,7,3,4] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,7},{5},{6}} => 1

[2,1,6,5,7,4,3] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,7},{5},{6}} => 1

[2,1,6,7,3,4,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => {{1},{2,3,7},{4},{5},{6}} => 1

[2,1,6,7,3,5,4] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => {{1},{2,3,7},{4},{5},{6}} => 1

[2,1,6,7,4,3,5] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => {{1},{2,3,7},{4},{5},{6}} => 1

[2,1,6,7,4,5,3] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => {{1},{2,3,7},{4},{5},{6}} => 1

[2,1,6,7,5,3,4] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => {{1},{2,3,7},{4},{5},{6}} => 1

[2,1,6,7,5,4,3] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => {{1},{2,3,7},{4},{5},{6}} => 1

[2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,3,4,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,3,5,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,3,5,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,3,6,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,3,6,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,4,3,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,4,3,6,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,4,5,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,4,5,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,4,6,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,4,6,5,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,5,3,4,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,5,3,6,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,5,4,3,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,5,4,6,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,5,6,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,5,6,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,6,3,4,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,6,3,5,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,6,4,3,5] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,6,4,5,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,6,5,3,4] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,1,7,6,5,4,3] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 1

[2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,2] => {{1,3,4,5,6,7},{2}} => 2

[2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [3,1,4,5,6,2,7] => {{1,3,4,5,6},{2},{7}} => 2

[2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [3,1,4,5,2,7,6] => {{1,3,4,5},{2},{6,7}} => 2

[2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [3,1,4,5,7,2,6] => {{1,3,4,5,7},{2},{6}} => 2

[2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,4,5,2,6,7] => {{1,3,4,5},{2},{6},{7}} => 2

[2,3,1,4,7,6,5] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [3,1,4,5,2,6,7] => {{1,3,4,5},{2},{6},{7}} => 2

[2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [3,1,4,2,6,7,5] => {{1,3,4},{2},{5,6,7}} => 2

[2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [3,1,4,2,6,5,7] => {{1,3,4},{2},{5,6},{7}} => 2

[2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [3,1,4,6,2,7,5] => {{1,3,4,6,7},{2},{5}} => 2

[2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [3,1,4,6,7,2,5] => {{1,3,4,6},{2},{5,7}} => 2

[2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,6,2,5,7] => {{1,3,4,6},{2},{5},{7}} => 2

[2,3,1,5,7,6,4] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [3,1,4,6,2,5,7] => {{1,3,4,6},{2},{5},{7}} => 2

[2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,2,5,7,6] => {{1,3,4},{2},{5},{6,7}} => 2

[2,3,1,6,4,7,5] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,6] => {{1,3,4},{2},{5,7},{6}} => 2

[2,3,1,6,5,4,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [3,1,4,2,5,7,6] => {{1,3,4},{2},{5},{6,7}} => 2

[2,3,1,6,5,7,4] => [1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [3,1,4,2,7,5,6] => {{1,3,4},{2},{5,7},{6}} => 2

[2,3,1,6,7,4,5] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,1,4,7,2,5,6] => {{1,3,4,7},{2},{5},{6}} => 2

[2,3,1,6,7,5,4] => [1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [3,1,4,7,2,5,6] => {{1,3,4,7},{2},{5},{6}} => 2

[2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4,2,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => 2

[2,3,1,7,4,6,5] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4,2,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => 2

[2,3,1,7,5,4,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4,2,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => 2

[2,3,1,7,5,6,4] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4,2,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => 2

[2,3,1,7,6,4,5] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4,2,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => 2

[2,3,1,7,6,5,4] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [3,1,4,2,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => 2

[2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 3

[2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 3

[2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 3

[2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [3,4,1,5,7,2,6] => {{1,3},{2,4,5,7},{6}} => 3

[2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 3

[2,3,4,1,7,6,5] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 3

[2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [3,4,5,1,6,7,2] => {{1,3,5,6,7},{2,4}} => 4

[2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [3,4,5,1,6,2,7] => {{1,3,5,6},{2,4},{7}} => 4

[2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 5

[2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,7,1,2] => {{1,3,5,7},{2,4,6}} => 6

[2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 5

[2,3,4,5,7,6,1] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 5

[2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,4,5,1,2,7,6] => {{1,3,5},{2,4},{6,7}} => 4

[2,3,4,6,1,7,5] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [3,4,5,1,7,2,6] => {{1,3,5,7},{2,4},{6}} => 4

[2,3,4,6,5,1,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [3,4,5,1,2,7,6] => {{1,3,5},{2,4},{6,7}} => 4

[2,3,4,6,5,7,1] => [1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [3,4,5,1,7,2,6] => {{1,3,5,7},{2,4},{6}} => 4

[2,3,4,6,7,1,5] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,7,1,2,6] => {{1,3,5},{2,4,7},{6}} => 5

[2,3,4,6,7,5,1] => [1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [3,4,5,7,1,2,6] => {{1,3,5},{2,4,7},{6}} => 5

[2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6,7] => {{1,3,5},{2,4},{6},{7}} => 4

[2,3,4,7,1,6,5] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6,7] => {{1,3,5},{2,4},{6},{7}} => 4

[2,3,4,7,5,1,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6,7] => {{1,3,5},{2,4},{6},{7}} => 4

[2,3,4,7,5,6,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6,7] => {{1,3,5},{2,4},{6},{7}} => 4

[2,3,4,7,6,1,5] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6,7] => {{1,3,5},{2,4},{6},{7}} => 4

[2,3,4,7,6,5,1] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6,7] => {{1,3,5},{2,4},{6},{7}} => 4

[2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 3

[2,3,5,1,4,7,6] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 3

[2,3,5,1,6,4,7] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,4,1,6,2,7,5] => {{1,3},{2,4,6,7},{5}} => 3

[2,3,5,1,6,7,4] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 3

[2,3,5,1,7,4,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5,7] => {{1,3},{2,4,6},{5},{7}} => 3

[2,3,5,1,7,6,4] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5,7] => {{1,3},{2,4,6},{5},{7}} => 3

[2,3,5,4,1,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 3

[2,3,5,4,1,7,6] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 3

[2,3,5,4,6,1,7] => [1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [3,4,1,6,2,7,5] => {{1,3},{2,4,6,7},{5}} => 3

[2,3,5,4,6,7,1] => [1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 3

[2,3,5,4,7,1,6] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5,7] => {{1,3},{2,4,6},{5},{7}} => 3

[2,3,5,4,7,6,1] => [1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [3,4,1,6,2,5,7] => {{1,3},{2,4,6},{5},{7}} => 3

[2,3,5,6,1,4,7] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,4,6,1,2,7,5] => {{1,3,6,7},{2,4},{5}} => 4

[2,3,5,6,1,7,4] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [3,4,6,1,7,2,5] => {{1,3,6},{2,4},{5,7}} => 4

[2,3,5,6,4,1,7] => [1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [3,4,6,1,2,7,5] => {{1,3,6,7},{2,4},{5}} => 4

[2,3,5,6,4,7,1] => [1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [3,4,6,1,7,2,5] => {{1,3,6},{2,4},{5,7}} => 4

[2,3,5,6,7,1,4] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [3,4,6,7,1,2,5] => {{1,3,6},{2,4,7},{5}} => 5

[2,3,5,6,7,4,1] => [1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [3,4,6,7,1,2,5] => {{1,3,6},{2,4,7},{5}} => 5

[2,3,5,7,1,4,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5,7] => {{1,3,6},{2,4},{5},{7}} => 4

[2,3,5,7,1,6,4] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5,7] => {{1,3,6},{2,4},{5},{7}} => 4

[2,3,5,7,4,1,6] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5,7] => {{1,3,6},{2,4},{5},{7}} => 4

[2,3,5,7,4,6,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5,7] => {{1,3,6},{2,4},{5},{7}} => 4

[2,3,5,7,6,1,4] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5,7] => {{1,3,6},{2,4},{5},{7}} => 4

[2,3,5,7,6,4,1] => [1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [3,4,6,1,2,5,7] => {{1,3,6},{2,4},{5},{7}} => 4

[2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 3

[2,3,6,1,4,7,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,2,7,5,6] => {{1,3},{2,4},{5,7},{6}} => 3

[2,3,6,1,5,4,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 3

[2,3,6,1,5,7,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,2,7,5,6] => {{1,3},{2,4},{5,7},{6}} => 3

[2,3,6,1,7,4,5] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [3,4,1,7,2,5,6] => {{1,3},{2,4,7},{5},{6}} => 3

[2,3,6,1,7,5,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [3,4,1,7,2,5,6] => {{1,3},{2,4,7},{5},{6}} => 3

[2,3,6,4,1,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 3

[2,3,6,4,1,7,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,2,7,5,6] => {{1,3},{2,4},{5,7},{6}} => 3

[2,3,6,4,5,1,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 3

[2,3,6,4,5,7,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,2,7,5,6] => {{1,3},{2,4},{5,7},{6}} => 3

[2,3,6,4,7,1,5] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [3,4,1,7,2,5,6] => {{1,3},{2,4,7},{5},{6}} => 3

[2,3,6,4,7,5,1] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [3,4,1,7,2,5,6] => {{1,3},{2,4,7},{5},{6}} => 3

[2,3,6,5,1,4,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 3

[2,3,6,5,1,7,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,2,7,5,6] => {{1,3},{2,4},{5,7},{6}} => 3

[2,3,6,5,4,1,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 3

[2,3,6,5,4,7,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [3,4,1,2,7,5,6] => {{1,3},{2,4},{5,7},{6}} => 3

[2,3,6,5,7,1,4] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [3,4,1,7,2,5,6] => {{1,3},{2,4,7},{5},{6}} => 3

[2,3,6,5,7,4,1] => [1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [3,4,1,7,2,5,6] => {{1,3},{2,4,7},{5},{6}} => 3

[2,3,6,7,1,4,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,7,1,2,5,6] => {{1,3,7},{2,4},{5},{6}} => 4

[2,3,6,7,1,5,4] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,7,1,2,5,6] => {{1,3,7},{2,4},{5},{6}} => 4

[2,3,6,7,4,1,5] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,7,1,2,5,6] => {{1,3,7},{2,4},{5},{6}} => 4

[2,3,6,7,4,5,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,7,1,2,5,6] => {{1,3,7},{2,4},{5},{6}} => 4

[2,3,6,7,5,1,4] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,7,1,2,5,6] => {{1,3,7},{2,4},{5},{6}} => 4

[2,3,6,7,5,4,1] => [1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [3,4,7,1,2,5,6] => {{1,3,7},{2,4},{5},{6}} => 4

[2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,1,4,6,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,1,5,4,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,1,5,6,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,1,6,4,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,1,6,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,4,1,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,4,1,6,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,4,5,1,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,4,5,6,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,4,6,1,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,4,6,5,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,5,1,4,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,5,1,6,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,5,4,1,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,5,4,6,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,5,6,1,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,5,6,4,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,6,1,4,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,6,1,5,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,6,4,1,5] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,6,4,5,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,6,5,1,4] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,3,7,6,5,4,1] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,5,6,7,4] => {{1,3},{2},{4,5,6,7}} => 2

[2,4,1,3,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,5,6,4,7] => {{1,3},{2},{4,5,6},{7}} => 2

[2,4,1,3,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,7,6] => {{1,3},{2},{4,5},{6,7}} => 2

[2,4,1,3,6,7,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,7,4,6] => {{1,3},{2},{4,5,7},{6}} => 2

[2,4,1,3,7,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}} => 2

[2,4,1,3,7,6,5] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}} => 2

[2,4,1,5,3,6,7] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4] => {{1,3,5,6,7},{2},{4}} => 2

[2,4,1,5,3,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,7] => {{1,3,5,6},{2},{4},{7}} => 2

[2,4,1,5,6,3,7] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4] => {{1,3,5},{2},{4,6,7}} => 2

[2,4,1,5,6,7,3] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [3,1,5,6,7,2,4] => {{1,3,5,7},{2},{4,6}} => 2

[2,4,1,5,7,3,6] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [3,1,5,6,2,4,7] => {{1,3,5},{2},{4,6},{7}} => 2

[2,4,1,5,7,6,3] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [3,1,5,6,2,4,7] => {{1,3,5},{2},{4,6},{7}} => 2

[2,4,1,6,3,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,7,6] => {{1,3,5},{2},{4},{6,7}} => 2

[2,4,1,6,3,7,5] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,6] => {{1,3,5,7},{2},{4},{6}} => 2

[2,4,1,6,5,3,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,7,6] => {{1,3,5},{2},{4},{6,7}} => 2

[2,4,1,6,5,7,3] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,6] => {{1,3,5,7},{2},{4},{6}} => 2

[2,4,1,6,7,3,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,7,2,4,6] => {{1,3,5},{2},{4,7},{6}} => 2

[2,4,1,6,7,5,3] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,7,2,4,6] => {{1,3,5},{2},{4,7},{6}} => 2

[2,4,1,7,3,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,1,7,3,6,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,1,7,5,3,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,1,7,5,6,3] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,1,7,6,3,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,1,7,6,5,3] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,3,1,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [3,1,2,5,6,7,4] => {{1,3},{2},{4,5,6,7}} => 2

[2,4,3,1,5,7,6] => [1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [3,1,2,5,6,4,7] => {{1,3},{2},{4,5,6},{7}} => 2

[2,4,3,1,6,5,7] => [1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,1,2,5,4,7,6] => {{1,3},{2},{4,5},{6,7}} => 2

[2,4,3,1,6,7,5] => [1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [3,1,2,5,7,4,6] => {{1,3},{2},{4,5,7},{6}} => 2

[2,4,3,1,7,5,6] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}} => 2

[2,4,3,1,7,6,5] => [1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [3,1,2,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}} => 2

[2,4,3,5,1,6,7] => [1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [3,1,5,2,6,7,4] => {{1,3,5,6,7},{2},{4}} => 2

[2,4,3,5,1,7,6] => [1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [3,1,5,2,6,4,7] => {{1,3,5,6},{2},{4},{7}} => 2

[2,4,3,5,6,1,7] => [1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [3,1,5,6,2,7,4] => {{1,3,5},{2},{4,6,7}} => 2

[2,4,3,5,6,7,1] => [1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [3,1,5,6,7,2,4] => {{1,3,5,7},{2},{4,6}} => 2

[2,4,3,5,7,1,6] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [3,1,5,6,2,4,7] => {{1,3,5},{2},{4,6},{7}} => 2

[2,4,3,5,7,6,1] => [1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [3,1,5,6,2,4,7] => {{1,3,5},{2},{4,6},{7}} => 2

[2,4,3,6,1,5,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,7,6] => {{1,3,5},{2},{4},{6,7}} => 2

[2,4,3,6,1,7,5] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,6] => {{1,3,5,7},{2},{4},{6}} => 2

[2,4,3,6,5,1,7] => [1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [3,1,5,2,4,7,6] => {{1,3,5},{2},{4},{6,7}} => 2

[2,4,3,6,5,7,1] => [1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [3,1,5,2,7,4,6] => {{1,3,5,7},{2},{4},{6}} => 2

[2,4,3,6,7,1,5] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,7,2,4,6] => {{1,3,5},{2},{4,7},{6}} => 2

[2,4,3,6,7,5,1] => [1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [3,1,5,7,2,4,6] => {{1,3,5},{2},{4,7},{6}} => 2

[2,4,3,7,1,5,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,3,7,1,6,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,3,7,5,1,6] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,3,7,5,6,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,3,7,6,1,5] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,3,7,6,5,1] => [1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [3,1,5,2,4,6,7] => {{1,3,5},{2},{4},{6},{7}} => 2

[2,4,5,1,3,6,7] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,5,1,2,6,7,4] => {{1,3},{2,5,6,7},{4}} => 3

[2,4,5,1,3,7,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,5,1,2,6,4,7] => {{1,3},{2,5,6},{4},{7}} => 3

[2,4,5,1,6,3,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 3

[2,4,5,1,6,7,3] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [3,5,1,6,7,2,4] => {{1,3},{2,5,7},{4,6}} => 3

[2,4,5,1,7,3,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 3

[2,4,5,1,7,6,3] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 3

[2,4,5,3,1,6,7] => [1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [3,5,1,2,6,7,4] => {{1,3},{2,5,6,7},{4}} => 3

[2,4,5,3,1,7,6] => [1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [3,5,1,2,6,4,7] => {{1,3},{2,5,6},{4},{7}} => 3

[2,4,5,3,6,1,7] => [1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 3

[2,4,5,3,6,7,1] => [1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [3,5,1,6,7,2,4] => {{1,3},{2,5,7},{4,6}} => 3

[2,4,5,3,7,1,6] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 3

[2,4,5,3,7,6,1] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 3

[2,4,5,6,1,3,7] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,5,6,1,2,7,4] => {{1,3,6,7},{2,5},{4}} => 4

[2,4,5,6,1,7,3] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [3,5,6,1,7,2,4] => {{1,3,6},{2,5,7},{4}} => 4

[2,4,5,6,3,1,7] => [1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [3,5,6,1,2,7,4] => {{1,3,6,7},{2,5},{4}} => 4

[2,4,5,6,3,7,1] => [1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [3,5,6,1,7,2,4] => {{1,3,6},{2,5,7},{4}} => 4

[2,4,5,6,7,1,3] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [3,5,6,7,1,2,4] => {{1,3,6},{2,5},{4,7}} => 5

[2,4,5,6,7,3,1] => [1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [3,5,6,7,1,2,4] => {{1,3,6},{2,5},{4,7}} => 5

[2,4,5,7,1,3,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,5,6,1,2,4,7] => {{1,3,6},{2,5},{4},{7}} => 4

[2,4,5,7,1,6,3] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,5,6,1,2,4,7] => {{1,3,6},{2,5},{4},{7}} => 4

[2,4,5,7,3,1,6] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,5,6,1,2,4,7] => {{1,3,6},{2,5},{4},{7}} => 4

[2,4,5,7,3,6,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,5,6,1,2,4,7] => {{1,3,6},{2,5},{4},{7}} => 4

[2,4,5,7,6,1,3] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,5,6,1,2,4,7] => {{1,3,6},{2,5},{4},{7}} => 4

[2,4,5,7,6,3,1] => [1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [3,5,6,1,2,4,7] => {{1,3,6},{2,5},{4},{7}} => 4

[2,4,6,1,3,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,7,6] => {{1,3},{2,5},{4},{6,7}} => 3

[2,4,6,1,3,7,5] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,7,4,6] => {{1,3},{2,5,7},{4},{6}} => 3

[2,4,6,1,5,3,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,7,6] => {{1,3},{2,5},{4},{6,7}} => 3

[2,4,6,1,5,7,3] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,7,4,6] => {{1,3},{2,5,7},{4},{6}} => 3

[2,4,6,1,7,3,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,4,6] => {{1,3},{2,5},{4,7},{6}} => 3

[2,4,6,1,7,5,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,4,6] => {{1,3},{2,5},{4,7},{6}} => 3

[2,4,6,3,1,5,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,7,6] => {{1,3},{2,5},{4},{6,7}} => 3

[2,4,6,3,1,7,5] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,7,4,6] => {{1,3},{2,5,7},{4},{6}} => 3

[2,4,6,3,5,1,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,7,6] => {{1,3},{2,5},{4},{6,7}} => 3

[2,4,6,3,5,7,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,7,4,6] => {{1,3},{2,5,7},{4},{6}} => 3

[2,4,6,3,7,1,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,4,6] => {{1,3},{2,5},{4,7},{6}} => 3

[2,4,6,3,7,5,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,4,6] => {{1,3},{2,5},{4,7},{6}} => 3

[2,4,6,5,1,3,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,7,6] => {{1,3},{2,5},{4},{6,7}} => 3

[2,4,6,5,1,7,3] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,7,4,6] => {{1,3},{2,5,7},{4},{6}} => 3

[2,4,6,5,3,1,7] => [1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [3,5,1,2,4,7,6] => {{1,3},{2,5},{4},{6,7}} => 3

[2,4,6,5,3,7,1] => [1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [3,5,1,2,7,4,6] => {{1,3},{2,5,7},{4},{6}} => 3

[2,4,6,5,7,1,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,4,6] => {{1,3},{2,5},{4,7},{6}} => 3

[2,4,6,5,7,3,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [3,5,1,7,2,4,6] => {{1,3},{2,5},{4,7},{6}} => 3

[2,4,6,7,1,3,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,7,1,2,4,6] => {{1,3,7},{2,5},{4},{6}} => 4

[2,4,6,7,1,5,3] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,7,1,2,4,6] => {{1,3,7},{2,5},{4},{6}} => 4

[2,4,6,7,3,1,5] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,7,1,2,4,6] => {{1,3,7},{2,5},{4},{6}} => 4

[2,4,6,7,3,5,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,7,1,2,4,6] => {{1,3,7},{2,5},{4},{6}} => 4

[2,4,6,7,5,1,3] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,7,1,2,4,6] => {{1,3,7},{2,5},{4},{6}} => 4

[2,4,6,7,5,3,1] => [1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [3,5,7,1,2,4,6] => {{1,3,7},{2,5},{4},{6}} => 4

[2,4,7,1,3,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,1,3,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,1,5,3,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,1,5,6,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,1,6,3,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,1,6,5,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,3,1,5,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,3,1,6,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,3,5,1,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,3,5,6,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,3,6,1,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,3,6,5,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,5,1,3,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,5,1,6,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,5,3,1,6] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,5,3,6,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,5,6,1,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,5,6,3,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,6,1,3,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,6,1,5,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,6,3,1,5] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,6,3,5,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,6,5,1,3] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,4,7,6,5,3,1] => [1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [3,5,1,2,4,6,7] => {{1,3},{2,5},{4},{6},{7}} => 3

[2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,2,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => 2

[2,5,1,3,4,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,1,2,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => 2

[2,5,1,3,6,4,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,7,5] => {{1,3},{2},{4,6,7},{5}} => 2

[2,5,1,3,6,7,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,1,2,6,7,4,5] => {{1,3},{2},{4,6},{5,7}} => 2

[2,5,1,3,7,4,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,1,3,7,6,4] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,1,4,3,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,2,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => 2

[2,5,1,4,3,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,1,2,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => 2

[2,5,1,4,6,3,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,7,5] => {{1,3},{2},{4,6,7},{5}} => 2

[2,5,1,4,6,7,3] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,1,2,6,7,4,5] => {{1,3},{2},{4,6},{5,7}} => 2

[2,5,1,4,7,3,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,1,4,7,6,3] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,1,6,3,4,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,6,2,4,7,5] => {{1,3,6,7},{2},{4},{5}} => 2

[2,5,1,6,3,7,4] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,5] => {{1,3,6},{2},{4},{5,7}} => 2

[2,5,1,6,4,3,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,6,2,4,7,5] => {{1,3,6,7},{2},{4},{5}} => 2

[2,5,1,6,4,7,3] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,5] => {{1,3,6},{2},{4},{5,7}} => 2

[2,5,1,6,7,3,4] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [3,1,6,7,2,4,5] => {{1,3,6},{2},{4,7},{5}} => 2

[2,5,1,6,7,4,3] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [3,1,6,7,2,4,5] => {{1,3,6},{2},{4,7},{5}} => 2

[2,5,1,7,3,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,1,7,3,6,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,1,7,4,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,1,7,4,6,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,1,7,6,3,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,1,7,6,4,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,3,1,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,2,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => 2

[2,5,3,1,4,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,1,2,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => 2

[2,5,3,1,6,4,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,7,5] => {{1,3},{2},{4,6,7},{5}} => 2

[2,5,3,1,6,7,4] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,1,2,6,7,4,5] => {{1,3},{2},{4,6},{5,7}} => 2

[2,5,3,1,7,4,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,3,1,7,6,4] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,3,4,1,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,2,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => 2

[2,5,3,4,1,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,1,2,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => 2

[2,5,3,4,6,1,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,7,5] => {{1,3},{2},{4,6,7},{5}} => 2

[2,5,3,4,6,7,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,1,2,6,7,4,5] => {{1,3},{2},{4,6},{5,7}} => 2

[2,5,3,4,7,1,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,3,4,7,6,1] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,3,6,1,4,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,6,2,4,7,5] => {{1,3,6,7},{2},{4},{5}} => 2

[2,5,3,6,1,7,4] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,5] => {{1,3,6},{2},{4},{5,7}} => 2

[2,5,3,6,4,1,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,6,2,4,7,5] => {{1,3,6,7},{2},{4},{5}} => 2

[2,5,3,6,4,7,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,5] => {{1,3,6},{2},{4},{5,7}} => 2

[2,5,3,6,7,1,4] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [3,1,6,7,2,4,5] => {{1,3,6},{2},{4,7},{5}} => 2

[2,5,3,6,7,4,1] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [3,1,6,7,2,4,5] => {{1,3,6},{2},{4,7},{5}} => 2

[2,5,3,7,1,4,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,3,7,1,6,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,3,7,4,1,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,3,7,4,6,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,3,7,6,1,4] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,3,7,6,4,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,4,1,3,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,2,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => 2

[2,5,4,1,3,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,1,2,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => 2

[2,5,4,1,6,3,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,7,5] => {{1,3},{2},{4,6,7},{5}} => 2

[2,5,4,1,6,7,3] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,1,2,6,7,4,5] => {{1,3},{2},{4,6},{5,7}} => 2

[2,5,4,1,7,3,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,4,1,7,6,3] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,4,3,1,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [3,1,2,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => 2

[2,5,4,3,1,7,6] => [1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [3,1,2,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => 2

[2,5,4,3,6,1,7] => [1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [3,1,2,6,4,7,5] => {{1,3},{2},{4,6,7},{5}} => 2

[2,5,4,3,6,7,1] => [1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,1,2,6,7,4,5] => {{1,3},{2},{4,6},{5,7}} => 2

[2,5,4,3,7,1,6] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,4,3,7,6,1] => [1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [3,1,2,6,4,5,7] => {{1,3},{2},{4,6},{5},{7}} => 2

[2,5,4,6,1,3,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,6,2,4,7,5] => {{1,3,6,7},{2},{4},{5}} => 2

[2,5,4,6,1,7,3] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,5] => {{1,3,6},{2},{4},{5,7}} => 2

[2,5,4,6,3,1,7] => [1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [3,1,6,2,4,7,5] => {{1,3,6,7},{2},{4},{5}} => 2

[2,5,4,6,3,7,1] => [1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [3,1,6,2,7,4,5] => {{1,3,6},{2},{4},{5,7}} => 2

[2,5,4,6,7,1,3] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [3,1,6,7,2,4,5] => {{1,3,6},{2},{4,7},{5}} => 2

[2,5,4,6,7,3,1] => [1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [3,1,6,7,2,4,5] => {{1,3,6},{2},{4,7},{5}} => 2

[2,5,4,7,1,3,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,4,7,1,6,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,4,7,3,1,6] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,4,7,3,6,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,4,7,6,1,3] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,4,7,6,3,1] => [1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [3,1,6,2,4,5,7] => {{1,3,6},{2},{4},{5},{7}} => 2

[2,5,6,1,3,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1,2,4,7,5] => {{1,3},{2,6,7},{4},{5}} => 3

[2,5,6,1,3,7,4] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [3,6,1,2,7,4,5] => {{1,3},{2,6},{4},{5,7}} => 3

[2,5,6,1,4,3,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1,2,4,7,5] => {{1,3},{2,6,7},{4},{5}} => 3

[2,5,6,1,4,7,3] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [3,6,1,2,7,4,5] => {{1,3},{2,6},{4},{5,7}} => 3

[2,5,6,1,7,3,4] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,1,7,2,4,5] => {{1,3},{2,6},{4,7},{5}} => 3

[2,5,6,1,7,4,3] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,1,7,2,4,5] => {{1,3},{2,6},{4,7},{5}} => 3

[2,5,6,3,1,4,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1,2,4,7,5] => {{1,3},{2,6,7},{4},{5}} => 3

[2,5,6,3,1,7,4] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [3,6,1,2,7,4,5] => {{1,3},{2,6},{4},{5,7}} => 3

[2,5,6,3,4,1,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1,2,4,7,5] => {{1,3},{2,6,7},{4},{5}} => 3

[2,5,6,3,4,7,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [3,6,1,2,7,4,5] => {{1,3},{2,6},{4},{5,7}} => 3

[2,5,6,3,7,1,4] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,1,7,2,4,5] => {{1,3},{2,6},{4,7},{5}} => 3

[2,5,6,3,7,4,1] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,1,7,2,4,5] => {{1,3},{2,6},{4,7},{5}} => 3

[2,5,6,4,1,3,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1,2,4,7,5] => {{1,3},{2,6,7},{4},{5}} => 3

[2,5,6,4,1,7,3] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [3,6,1,2,7,4,5] => {{1,3},{2,6},{4},{5,7}} => 3

[2,5,6,4,3,1,7] => [1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [3,6,1,2,4,7,5] => {{1,3},{2,6,7},{4},{5}} => 3

[2,5,6,4,3,7,1] => [1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [3,6,1,2,7,4,5] => {{1,3},{2,6},{4},{5,7}} => 3

[2,5,6,4,7,1,3] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,1,7,2,4,5] => {{1,3},{2,6},{4,7},{5}} => 3

[2,5,6,4,7,3,1] => [1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [3,6,1,7,2,4,5] => {{1,3},{2,6},{4,7},{5}} => 3

[2,5,6,7,1,3,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,6,7,1,2,4,5] => {{1,3,7},{2,6},{4},{5}} => 4

[2,5,6,7,1,4,3] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,6,7,1,2,4,5] => {{1,3,7},{2,6},{4},{5}} => 4

[2,5,6,7,3,1,4] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,6,7,1,2,4,5] => {{1,3,7},{2,6},{4},{5}} => 4

[2,5,6,7,3,4,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,6,7,1,2,4,5] => {{1,3,7},{2,6},{4},{5}} => 4

[2,5,6,7,4,1,3] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,6,7,1,2,4,5] => {{1,3,7},{2,6},{4},{5}} => 4

[2,5,6,7,4,3,1] => [1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [3,6,7,1,2,4,5] => {{1,3,7},{2,6},{4},{5}} => 4

[2,5,7,1,3,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,1,3,6,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,1,4,3,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,1,4,6,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,1,6,3,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,1,6,4,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,3,1,4,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,3,1,6,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,3,4,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,3,4,6,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,3,6,1,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,3,6,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,4,1,3,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,4,1,6,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,4,3,1,6] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,4,3,6,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,4,6,1,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,4,6,3,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,6,1,3,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,6,1,4,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,6,3,1,4] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,6,3,4,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,6,4,1,3] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,5,7,6,4,3,1] => [1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [3,6,1,2,4,5,7] => {{1,3},{2,6},{4},{5},{7}} => 3

[2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,1,3,4,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,1,3,5,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,1,3,5,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,1,3,7,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,1,3,7,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,1,4,3,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,1,4,3,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,1,4,5,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,1,4,5,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,1,4,7,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,1,4,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,1,5,3,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,1,5,3,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,1,5,4,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,1,5,4,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,1,5,7,3,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,1,5,7,4,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,1,7,3,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,1,7,3,5,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,1,7,4,3,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,1,7,4,5,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,1,7,5,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,1,7,5,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,3,1,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,3,1,4,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,3,1,5,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,3,1,5,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,3,1,7,4,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,3,1,7,5,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,3,4,1,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,3,4,1,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,3,4,5,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,3,4,5,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,3,4,7,1,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,3,4,7,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,3,5,1,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,3,5,1,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,3,5,4,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,3,5,4,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,3,5,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,3,5,7,4,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,3,7,1,4,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,3,7,1,5,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,3,7,4,1,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,3,7,4,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,3,7,5,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,3,7,5,4,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,4,1,3,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,4,1,3,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,4,1,5,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,4,1,5,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,4,1,7,3,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,4,1,7,5,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,4,3,1,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,4,3,1,7,5] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,4,3,5,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,4,3,5,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,4,3,7,1,5] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,4,3,7,5,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,4,5,1,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,4,5,1,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,4,5,3,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,4,5,3,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,4,5,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,4,5,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,4,7,1,3,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,4,7,1,5,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,4,7,3,1,5] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,4,7,3,5,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,4,7,5,1,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,4,7,5,3,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,5,1,3,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,5,1,3,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,5,1,4,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,5,1,4,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,5,1,7,3,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,5,1,7,4,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,5,3,1,4,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,5,3,1,7,4] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,5,3,4,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,5,3,4,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,5,3,7,1,4] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,5,3,7,4,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,5,4,1,3,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,5,4,1,7,3] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,5,4,3,1,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [3,1,2,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => 2

[2,6,5,4,3,7,1] => [1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [3,1,2,4,7,5,6] => {{1,3},{2},{4},{5,7},{6}} => 2

[2,6,5,4,7,1,3] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,5,4,7,3,1] => [1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [3,1,2,7,4,5,6] => {{1,3},{2},{4,7},{5},{6}} => 2

[2,6,5,7,1,3,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,5,7,1,4,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,5,7,3,1,4] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,5,7,3,4,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,5,7,4,1,3] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,5,7,4,3,1] => [1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [3,1,7,2,4,5,6] => {{1,3,7},{2},{4},{5},{6}} => 2

[2,6,7,1,3,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,1,3,5,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,1,4,3,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,1,4,5,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,1,5,3,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,1,5,4,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,3,1,4,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,3,1,5,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,3,4,1,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,3,4,5,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,3,5,1,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,3,5,4,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,4,1,3,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,4,1,5,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,4,3,1,5] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,4,3,5,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,4,5,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,4,5,3,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,5,1,3,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,5,1,4,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,5,3,1,4] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,5,3,4,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,5,4,1,3] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,6,7,5,4,3,1] => [1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [3,7,1,2,4,5,6] => {{1,3},{2,7},{4},{5},{6}} => 3

[2,7,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,3,4,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,3,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,3,5,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,3,6,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,3,6,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,4,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,4,3,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,4,5,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,4,5,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,4,6,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,4,6,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,5,3,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,5,3,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,5,4,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,5,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,5,6,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,5,6,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,6,3,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,6,3,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,6,4,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,6,4,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,6,5,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,1,6,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,1,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,1,4,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,1,5,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,1,5,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,1,6,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,1,6,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,4,1,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,4,1,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,4,5,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,4,5,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,4,6,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,4,6,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,5,1,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,5,1,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,5,4,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,5,4,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,5,6,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,5,6,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,6,1,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,6,1,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,6,4,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,6,4,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,6,5,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,3,6,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,1,3,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,1,3,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,1,5,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,1,5,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,1,6,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,1,6,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,3,1,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,3,1,6,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,3,5,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,3,5,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,3,6,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,3,6,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,5,1,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,5,1,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,5,3,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,5,3,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,5,6,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,5,6,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,6,1,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,6,1,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,6,3,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,6,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,6,5,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,4,6,5,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,1,3,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,1,3,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,1,4,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,1,4,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,1,6,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,1,6,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,3,1,4,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,3,1,6,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,3,4,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,3,4,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,3,6,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,3,6,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,4,1,3,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,4,1,6,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,4,3,1,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,4,3,6,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,4,6,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,4,6,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,6,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,6,1,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,6,3,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,6,3,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,6,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,5,6,4,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,1,3,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,1,3,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,1,4,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,1,4,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,1,5,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,1,5,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,3,1,4,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,3,1,5,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,3,4,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,3,4,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,3,5,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,3,5,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,4,1,3,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,4,1,5,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,4,3,1,5] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,4,3,5,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,4,5,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,4,5,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,5,1,3,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,5,1,4,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,5,3,1,4] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,5,3,4,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,5,4,1,3] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[2,7,6,5,4,3,1] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [3,1,2,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => 2

[3,1,2,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => 1

[3,1,2,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => 1

[3,1,2,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => 1

[3,1,2,4,6,7,5] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,7},{6}} => 1

[3,1,2,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => 1

[3,1,2,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => 1

[3,1,2,5,4,6,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => 1

[3,1,2,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => 1

[3,1,2,5,6,4,7] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,6,7},{5}} => 1

[3,1,2,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 1

[3,1,2,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,6},{5},{7}} => 1

[3,1,2,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,6},{5},{7}} => 1

[3,1,2,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => 1

[3,1,2,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,7},{6}} => 1

[3,1,2,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => 1

[3,1,2,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,7},{6}} => 1

[3,1,2,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,7},{5},{6}} => 1

[3,1,2,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,7},{5},{6}} => 1

[3,1,2,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,1,2,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,1,2,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,1,2,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,1,2,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,1,2,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,1,4,2,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,6,7,3] => {{1},{2,4,5,6,7},{3}} => 1

[3,1,4,2,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,2,5,6,3,7] => {{1},{2,4,5,6},{3},{7}} => 1

[3,1,4,2,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6] => {{1},{2,4,5},{3},{6,7}} => 1

[3,1,4,2,6,7,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,2,5,7,3,6] => {{1},{2,4,5,7},{3},{6}} => 1

[3,1,4,2,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,6,7] => {{1},{2,4,5},{3},{6},{7}} => 1

[3,1,4,2,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,6,7] => {{1},{2,4,5},{3},{6},{7}} => 1

[3,1,4,5,2,6,7] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[3,1,4,5,2,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 1

[3,1,4,5,6,2,7] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,4,5,6,2,7,3] => {{1},{2,4,6,7},{3,5}} => 1

[3,1,4,5,6,7,2] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[3,1,4,5,7,2,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,2,3,7] => {{1},{2,4,6},{3,5},{7}} => 1

[3,1,4,5,7,6,2] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,2,3,7] => {{1},{2,4,6},{3,5},{7}} => 1

[3,1,4,6,2,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[3,1,4,6,2,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,7},{6}} => 1

[3,1,4,6,5,2,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[3,1,4,6,5,7,2] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,7},{6}} => 1

[3,1,4,6,7,2,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,7,2,3,6] => {{1},{2,4,7},{3,5},{6}} => 1

[3,1,4,6,7,5,2] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,7,2,3,6] => {{1},{2,4,7},{3,5},{6}} => 1

[3,1,4,7,2,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,1,4,7,2,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,1,4,7,5,2,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,1,4,7,5,6,2] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,1,4,7,6,2,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,1,4,7,6,5,2] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,1,5,2,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,3,6,7,5] => {{1},{2,4},{3},{5,6,7}} => 1

[3,1,5,2,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5,7] => {{1},{2,4},{3},{5,6},{7}} => 1

[3,1,5,2,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5] => {{1},{2,4,6,7},{3},{5}} => 1

[3,1,5,2,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,7,3,5] => {{1},{2,4,6},{3},{5,7}} => 1

[3,1,5,2,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => {{1},{2,4,6},{3},{5},{7}} => 1

[3,1,5,2,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => {{1},{2,4,6},{3},{5},{7}} => 1

[3,1,5,4,2,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,3,6,7,5] => {{1},{2,4},{3},{5,6,7}} => 1

[3,1,5,4,2,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5,7] => {{1},{2,4},{3},{5,6},{7}} => 1

[3,1,5,4,6,2,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5] => {{1},{2,4,6,7},{3},{5}} => 1

[3,1,5,4,6,7,2] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,7,3,5] => {{1},{2,4,6},{3},{5,7}} => 1

[3,1,5,4,7,2,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => {{1},{2,4,6},{3},{5},{7}} => 1

[3,1,5,4,7,6,2] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => {{1},{2,4,6},{3},{5},{7}} => 1

[3,1,5,6,2,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,6,7},{5}} => 1

[3,1,5,6,2,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[3,1,5,6,4,2,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,6,7},{5}} => 1

[3,1,5,6,4,7,2] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[3,1,5,6,7,2,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,7,2,3,5] => {{1},{2,4,7},{3,6},{5}} => 1

[3,1,5,6,7,4,2] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,7,2,3,5] => {{1},{2,4,7},{3,6},{5}} => 1

[3,1,5,7,2,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,1,5,7,2,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,1,5,7,4,2,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,1,5,7,4,6,2] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,1,5,7,6,2,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,1,5,7,6,4,2] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,1,6,2,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,1,6,2,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,1,6,2,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,1,6,2,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,1,6,2,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,1,6,2,7,5,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,1,6,4,2,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,1,6,4,2,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,1,6,4,5,2,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,1,6,4,5,7,2] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,1,6,4,7,2,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,1,6,4,7,5,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,1,6,5,2,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,1,6,5,2,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,1,6,5,4,2,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,1,6,5,4,7,2] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,1,6,5,7,2,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,1,6,5,7,4,2] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,1,6,7,2,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,1,6,7,2,5,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,1,6,7,4,2,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,1,6,7,4,5,2] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,1,6,7,5,2,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,1,6,7,5,4,2] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,1,7,2,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,2,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,2,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,2,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,2,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,2,6,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,4,2,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,4,2,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,4,5,2,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,4,5,6,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,4,6,2,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,4,6,5,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,5,2,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,5,2,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,5,4,2,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,5,4,6,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,5,6,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,5,6,4,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,6,2,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,6,2,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,6,4,2,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,6,4,5,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,6,5,2,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,1,7,6,5,4,2] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,1,4,5,6,7] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => 1

[3,2,1,4,5,7,6] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => 1

[3,2,1,4,6,5,7] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => 1

[3,2,1,4,6,7,5] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,7},{6}} => 1

[3,2,1,4,7,5,6] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => 1

[3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => 1

[3,2,1,5,4,6,7] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => 1

[3,2,1,5,4,7,6] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => 1

[3,2,1,5,6,4,7] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,6,7},{5}} => 1

[3,2,1,5,6,7,4] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 1

[3,2,1,5,7,4,6] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,6},{5},{7}} => 1

[3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,6},{5},{7}} => 1

[3,2,1,6,4,5,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => 1

[3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,7},{6}} => 1

[3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => 1

[3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,7},{6}} => 1

[3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,7},{5},{6}} => 1

[3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,7},{5},{6}} => 1

[3,2,1,7,4,5,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,2,1,7,6,5,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 1

[3,2,4,1,5,6,7] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,6,7,3] => {{1},{2,4,5,6,7},{3}} => 1

[3,2,4,1,5,7,6] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,2,5,6,3,7] => {{1},{2,4,5,6},{3},{7}} => 1

[3,2,4,1,6,5,7] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6] => {{1},{2,4,5},{3},{6,7}} => 1

[3,2,4,1,6,7,5] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,2,5,7,3,6] => {{1},{2,4,5,7},{3},{6}} => 1

[3,2,4,1,7,5,6] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,6,7] => {{1},{2,4,5},{3},{6},{7}} => 1

[3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,6,7] => {{1},{2,4,5},{3},{6},{7}} => 1

[3,2,4,5,1,6,7] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[3,2,4,5,1,7,6] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 1

[3,2,4,5,6,1,7] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,4,5,6,2,7,3] => {{1},{2,4,6,7},{3,5}} => 1

[3,2,4,5,6,7,1] => [1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[3,2,4,5,7,1,6] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,2,3,7] => {{1},{2,4,6},{3,5},{7}} => 1

[3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,2,3,7] => {{1},{2,4,6},{3,5},{7}} => 1

[3,2,4,6,1,5,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,7},{6}} => 1

[3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,7},{6}} => 1

[3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,7,2,3,6] => {{1},{2,4,7},{3,5},{6}} => 1

[3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,7,2,3,6] => {{1},{2,4,7},{3,5},{6}} => 1

[3,2,4,7,1,5,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,2,4,7,6,5,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 1

[3,2,5,1,4,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,3,6,7,5] => {{1},{2,4},{3},{5,6,7}} => 1

[3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5,7] => {{1},{2,4},{3},{5,6},{7}} => 1

[3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5] => {{1},{2,4,6,7},{3},{5}} => 1

[3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,7,3,5] => {{1},{2,4,6},{3},{5,7}} => 1

[3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => {{1},{2,4,6},{3},{5},{7}} => 1

[3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => {{1},{2,4,6},{3},{5},{7}} => 1

[3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,3,6,7,5] => {{1},{2,4},{3},{5,6,7}} => 1

[3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5,7] => {{1},{2,4},{3},{5,6},{7}} => 1

[3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5] => {{1},{2,4,6,7},{3},{5}} => 1

[3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,7,3,5] => {{1},{2,4,6},{3},{5,7}} => 1

[3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => {{1},{2,4,6},{3},{5},{7}} => 1

[3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => {{1},{2,4,6},{3},{5},{7}} => 1

[3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,6,7},{5}} => 1

[3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,6,7},{5}} => 1

[3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,7,2,3,5] => {{1},{2,4,7},{3,6},{5}} => 1

[3,2,5,6,7,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [1,4,6,7,2,3,5] => {{1},{2,4,7},{3,6},{5}} => 1

[3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,2,5,7,6,4,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,6},{5},{7}} => 1

[3,2,6,1,4,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,2,6,1,7,5,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,2,6,4,7,5,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,2,6,5,1,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,2,6,5,4,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => 1

[3,2,6,5,4,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => {{1},{2,4},{3},{5,7},{6}} => 1

[3,2,6,5,7,1,4] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,2,6,5,7,4,1] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => {{1},{2,4,7},{3},{5},{6}} => 1

[3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,2,6,7,1,5,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,2,6,7,4,1,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,2,6,7,4,5,1] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,2,6,7,5,1,4] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,2,6,7,5,4,1] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,7},{5},{6}} => 1

[3,2,7,1,4,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,1,6,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,4,6,5,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,5,1,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,5,4,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,5,4,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,5,6,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,5,6,4,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,6,1,5,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,6,4,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,6,4,5,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,6,5,1,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,2,7,6,5,4,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => 1

[3,4,1,2,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,2,5,6,7,3] => {{1,4,5,6,7},{2},{3}} => 2

[3,4,1,2,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,1,2,5,6,3,7] => {{1,4,5,6},{2},{3},{7}} => 2

[3,4,1,2,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,2,5,3,7,6] => {{1,4,5},{2},{3},{6,7}} => 2

[3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,1,2,5,7,3,6] => {{1,4,5,7},{2},{3},{6}} => 2

[3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,1,2,5,3,6,7] => {{1,4,5},{2},{3},{6},{7}} => 2

[3,4,1,2,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,1,2,5,3,6,7] => {{1,4,5},{2},{3},{6},{7}} => 2

[3,4,1,5,2,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3] => {{1,4},{2},{3,5,6,7}} => 2

[3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,7] => {{1,4},{2},{3,5,6},{7}} => 2

[3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3] => {{1,4,6,7},{2},{3,5}} => 2

[3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,1,5,6,7,2,3] => {{1,4,6},{2},{3,5,7}} => 2

[3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,1,5,6,2,3,7] => {{1,4,6},{2},{3,5},{7}} => 2

[3,4,1,5,7,6,2] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,1,5,6,2,3,7] => {{1,4,6},{2},{3,5},{7}} => 2

[3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,5,2,3,7,6] => {{1,4},{2},{3,5},{6,7}} => 2

[3,4,1,6,2,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,6] => {{1,4},{2},{3,5,7},{6}} => 2

[3,4,1,6,5,2,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,5,2,3,7,6] => {{1,4},{2},{3,5},{6,7}} => 2

[3,4,1,6,5,7,2] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,6] => {{1,4},{2},{3,5,7},{6}} => 2

[3,4,1,6,7,2,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,7,2,3,6] => {{1,4,7},{2},{3,5},{6}} => 2

[3,4,1,6,7,5,2] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,7,2,3,6] => {{1,4,7},{2},{3,5},{6}} => 2

[3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,1,7,2,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,1,7,5,2,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,1,7,5,6,2] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,1,7,6,2,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,1,7,6,5,2] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,2,1,5,6,7] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [4,1,2,5,6,7,3] => {{1,4,5,6,7},{2},{3}} => 2

[3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [4,1,2,5,6,3,7] => {{1,4,5,6},{2},{3},{7}} => 2

[3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [4,1,2,5,3,7,6] => {{1,4,5},{2},{3},{6,7}} => 2

[3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [4,1,2,5,7,3,6] => {{1,4,5,7},{2},{3},{6}} => 2

[3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,1,2,5,3,6,7] => {{1,4,5},{2},{3},{6},{7}} => 2

[3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [4,1,2,5,3,6,7] => {{1,4,5},{2},{3},{6},{7}} => 2

[3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [4,1,5,2,6,7,3] => {{1,4},{2},{3,5,6,7}} => 2

[3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [4,1,5,2,6,3,7] => {{1,4},{2},{3,5,6},{7}} => 2

[3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [4,1,5,6,2,7,3] => {{1,4,6,7},{2},{3,5}} => 2

[3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [4,1,5,6,7,2,3] => {{1,4,6},{2},{3,5,7}} => 2

[3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,1,5,6,2,3,7] => {{1,4,6},{2},{3,5},{7}} => 2

[3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [4,1,5,6,2,3,7] => {{1,4,6},{2},{3,5},{7}} => 2

[3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,5,2,3,7,6] => {{1,4},{2},{3,5},{6,7}} => 2

[3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,6] => {{1,4},{2},{3,5,7},{6}} => 2

[3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [4,1,5,2,3,7,6] => {{1,4},{2},{3,5},{6,7}} => 2

[3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [4,1,5,2,7,3,6] => {{1,4},{2},{3,5,7},{6}} => 2

[3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,7,2,3,6] => {{1,4,7},{2},{3,5},{6}} => 2

[3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [4,1,5,7,2,3,6] => {{1,4,7},{2},{3,5},{6}} => 2

[3,4,2,7,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,2,7,6,5,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [4,1,5,2,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => 2

[3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [4,5,1,2,6,7,3] => {{1,4},{2,5,6,7},{3}} => 3

[3,4,5,1,2,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [4,5,1,2,6,3,7] => {{1,4},{2,5,6},{3},{7}} => 3

[3,4,5,1,6,2,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [4,5,1,6,2,7,3] => {{1,4,6,7},{2,5},{3}} => 3

[3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [4,5,1,6,7,2,3] => {{1,4,6},{2,5,7},{3}} => 3

[3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,5,1,6,2,3,7] => {{1,4,6},{2,5},{3},{7}} => 3

[3,4,5,1,7,6,2] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,5,1,6,2,3,7] => {{1,4,6},{2,5},{3},{7}} => 3

[3,4,5,2,1,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [4,5,1,2,6,7,3] => {{1,4},{2,5,6,7},{3}} => 3

[3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [4,5,1,2,6,3,7] => {{1,4},{2,5,6},{3},{7}} => 3

[3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [4,5,1,6,2,7,3] => {{1,4,6,7},{2,5},{3}} => 3

[3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [4,5,1,6,7,2,3] => {{1,4,6},{2,5,7},{3}} => 3

[3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,5,1,6,2,3,7] => {{1,4,6},{2,5},{3},{7}} => 3

[3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [4,5,1,6,2,3,7] => {{1,4,6},{2,5},{3},{7}} => 3

[3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 4

[3,4,5,6,1,7,2] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [4,5,6,1,7,2,3] => {{1,4},{2,5,7},{3,6}} => 4

[3,4,5,6,2,1,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 4

[3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [4,5,6,1,7,2,3] => {{1,4},{2,5,7},{3,6}} => 4

[3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,5,6,7,1,2,3] => {{1,4,7},{2,5},{3,6}} => 5

[3,4,5,6,7,2,1] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [4,5,6,7,1,2,3] => {{1,4,7},{2,5},{3,6}} => 5

[3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 4

[3,4,5,7,1,6,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 4

[3,4,5,7,2,1,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 4

[3,4,5,7,2,6,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 4

[3,4,5,7,6,1,2] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 4

[3,4,5,7,6,2,1] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 4

[3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,1,2,3,7,6] => {{1,4},{2,5},{3},{6,7}} => 3

[3,4,6,1,2,7,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,1,2,7,3,6] => {{1,4},{2,5,7},{3},{6}} => 3

[3,4,6,1,5,2,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,1,2,3,7,6] => {{1,4},{2,5},{3},{6,7}} => 3

[3,4,6,1,5,7,2] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,1,2,7,3,6] => {{1,4},{2,5,7},{3},{6}} => 3

[3,4,6,1,7,2,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,1,7,2,3,6] => {{1,4,7},{2,5},{3},{6}} => 3

[3,4,6,1,7,5,2] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,1,7,2,3,6] => {{1,4,7},{2,5},{3},{6}} => 3

[3,4,6,2,1,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,1,2,3,7,6] => {{1,4},{2,5},{3},{6,7}} => 3

[3,4,6,2,1,7,5] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,1,2,7,3,6] => {{1,4},{2,5,7},{3},{6}} => 3

[3,4,6,2,5,1,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,1,2,3,7,6] => {{1,4},{2,5},{3},{6,7}} => 3

[3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,1,2,7,3,6] => {{1,4},{2,5,7},{3},{6}} => 3

[3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,1,7,2,3,6] => {{1,4,7},{2,5},{3},{6}} => 3

[3,4,6,2,7,5,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,1,7,2,3,6] => {{1,4,7},{2,5},{3},{6}} => 3

[3,4,6,5,1,2,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,1,2,3,7,6] => {{1,4},{2,5},{3},{6,7}} => 3

[3,4,6,5,1,7,2] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,1,2,7,3,6] => {{1,4},{2,5,7},{3},{6}} => 3

[3,4,6,5,2,1,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,1,2,3,7,6] => {{1,4},{2,5},{3},{6,7}} => 3

[3,4,6,5,2,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [4,5,1,2,7,3,6] => {{1,4},{2,5,7},{3},{6}} => 3

[3,4,6,5,7,1,2] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,1,7,2,3,6] => {{1,4,7},{2,5},{3},{6}} => 3

[3,4,6,5,7,2,1] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [4,5,1,7,2,3,6] => {{1,4,7},{2,5},{3},{6}} => 3

[3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,7,1,2,3,6] => {{1,4},{2,5},{3,7},{6}} => 4

[3,4,6,7,1,5,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,7,1,2,3,6] => {{1,4},{2,5},{3,7},{6}} => 4

[3,4,6,7,2,1,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,7,1,2,3,6] => {{1,4},{2,5},{3,7},{6}} => 4

[3,4,6,7,2,5,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,7,1,2,3,6] => {{1,4},{2,5},{3,7},{6}} => 4

[3,4,6,7,5,1,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,7,1,2,3,6] => {{1,4},{2,5},{3,7},{6}} => 4

[3,4,6,7,5,2,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [4,5,7,1,2,3,6] => {{1,4},{2,5},{3,7},{6}} => 4

[3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,1,2,6,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,1,5,2,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,1,5,6,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,1,6,2,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,1,6,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,2,1,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,2,1,6,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,2,5,1,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,2,5,6,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,2,6,1,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,2,6,5,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,5,1,2,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,5,1,6,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,5,2,1,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,5,2,6,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,5,6,1,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,5,6,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,6,1,2,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,6,1,5,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,6,2,1,5] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,6,2,5,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,6,5,1,2] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,4,7,6,5,2,1] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [4,5,1,2,3,6,7] => {{1,4},{2,5},{3},{6},{7}} => 3

[3,5,1,2,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,6,7,5] => {{1,4},{2},{3},{5,6,7}} => 2

[3,5,1,2,4,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => 2

[3,5,1,2,6,4,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,7,5] => {{1,4,6,7},{2},{3},{5}} => 2

[3,5,1,2,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,6,7,3,5] => {{1,4,6},{2},{3},{5,7}} => 2

[3,5,1,2,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,1,2,7,6,4] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,1,4,2,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,6,7,5] => {{1,4},{2},{3},{5,6,7}} => 2

[3,5,1,4,2,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => 2

[3,5,1,4,6,2,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,7,5] => {{1,4,6,7},{2},{3},{5}} => 2

[3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,6,7,3,5] => {{1,4,6},{2},{3},{5,7}} => 2

[3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,1,4,7,6,2] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,1,6,2,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,6,2,3,7,5] => {{1,4},{2},{3,6,7},{5}} => 2

[3,5,1,6,2,7,4] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,5] => {{1,4},{2},{3,6},{5,7}} => 2

[3,5,1,6,4,2,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,6,2,3,7,5] => {{1,4},{2},{3,6,7},{5}} => 2

[3,5,1,6,4,7,2] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,5] => {{1,4},{2},{3,6},{5,7}} => 2

[3,5,1,6,7,2,4] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,1,6,7,2,3,5] => {{1,4,7},{2},{3,6},{5}} => 2

[3,5,1,6,7,4,2] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,1,6,7,2,3,5] => {{1,4,7},{2},{3,6},{5}} => 2

[3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,1,7,2,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,1,7,4,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,1,7,4,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,1,7,6,2,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,1,7,6,4,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,2,1,4,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,6,7,5] => {{1,4},{2},{3},{5,6,7}} => 2

[3,5,2,1,4,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => 2

[3,5,2,1,6,4,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,7,5] => {{1,4,6,7},{2},{3},{5}} => 2

[3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,6,7,3,5] => {{1,4,6},{2},{3},{5,7}} => 2

[3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,2,1,7,6,4] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,2,4,1,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,6,7,5] => {{1,4},{2},{3},{5,6,7}} => 2

[3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => 2

[3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,7,5] => {{1,4,6,7},{2},{3},{5}} => 2

[3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,6,7,3,5] => {{1,4,6},{2},{3},{5,7}} => 2

[3,5,2,4,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,2,4,7,6,1] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,6,2,3,7,5] => {{1,4},{2},{3,6,7},{5}} => 2

[3,5,2,6,1,7,4] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,5] => {{1,4},{2},{3,6},{5,7}} => 2

[3,5,2,6,4,1,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,6,2,3,7,5] => {{1,4},{2},{3,6,7},{5}} => 2

[3,5,2,6,4,7,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,5] => {{1,4},{2},{3,6},{5,7}} => 2

[3,5,2,6,7,1,4] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,1,6,7,2,3,5] => {{1,4,7},{2},{3,6},{5}} => 2

[3,5,2,6,7,4,1] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,1,6,7,2,3,5] => {{1,4,7},{2},{3,6},{5}} => 2

[3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,2,7,1,6,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,2,7,4,1,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,2,7,4,6,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,2,7,6,1,4] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,2,7,6,4,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,4,1,2,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,6,7,5] => {{1,4},{2},{3},{5,6,7}} => 2

[3,5,4,1,2,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => 2

[3,5,4,1,6,2,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,7,5] => {{1,4,6,7},{2},{3},{5}} => 2

[3,5,4,1,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,6,7,3,5] => {{1,4,6},{2},{3},{5,7}} => 2

[3,5,4,1,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,4,1,7,6,2] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,4,2,1,6,7] => [1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [4,1,2,3,6,7,5] => {{1,4},{2},{3},{5,6,7}} => 2

[3,5,4,2,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [4,1,2,3,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => 2

[3,5,4,2,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [4,1,2,6,3,7,5] => {{1,4,6,7},{2},{3},{5}} => 2

[3,5,4,2,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [4,1,2,6,7,3,5] => {{1,4,6},{2},{3},{5,7}} => 2

[3,5,4,2,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,4,2,7,6,1] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [4,1,2,6,3,5,7] => {{1,4,6},{2},{3},{5},{7}} => 2

[3,5,4,6,1,2,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,6,2,3,7,5] => {{1,4},{2},{3,6,7},{5}} => 2

[3,5,4,6,1,7,2] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,5] => {{1,4},{2},{3,6},{5,7}} => 2

[3,5,4,6,2,1,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [4,1,6,2,3,7,5] => {{1,4},{2},{3,6,7},{5}} => 2

[3,5,4,6,2,7,1] => [1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [4,1,6,2,7,3,5] => {{1,4},{2},{3,6},{5,7}} => 2

[3,5,4,6,7,1,2] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,1,6,7,2,3,5] => {{1,4,7},{2},{3,6},{5}} => 2

[3,5,4,6,7,2,1] => [1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [4,1,6,7,2,3,5] => {{1,4,7},{2},{3,6},{5}} => 2

[3,5,4,7,1,2,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,4,7,1,6,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,4,7,2,1,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,4,7,2,6,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,4,7,6,1,2] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,4,7,6,2,1] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [4,1,6,2,3,5,7] => {{1,4},{2},{3,6},{5},{7}} => 2

[3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,6,1,2,3,7,5] => {{1,4},{2,6,7},{3},{5}} => 3

[3,5,6,1,2,7,4] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,2,7,3,5] => {{1,4},{2,6},{3},{5,7}} => 3

[3,5,6,1,4,2,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,6,1,2,3,7,5] => {{1,4},{2,6,7},{3},{5}} => 3

[3,5,6,1,4,7,2] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,2,7,3,5] => {{1,4},{2,6},{3},{5,7}} => 3

[3,5,6,1,7,2,4] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,6,1,7,2,3,5] => {{1,4,7},{2,6},{3},{5}} => 3

[3,5,6,1,7,4,2] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,6,1,7,2,3,5] => {{1,4,7},{2,6},{3},{5}} => 3

[3,5,6,2,1,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,6,1,2,3,7,5] => {{1,4},{2,6,7},{3},{5}} => 3

[3,5,6,2,1,7,4] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,2,7,3,5] => {{1,4},{2,6},{3},{5,7}} => 3

[3,5,6,2,4,1,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,6,1,2,3,7,5] => {{1,4},{2,6,7},{3},{5}} => 3

[3,5,6,2,4,7,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,2,7,3,5] => {{1,4},{2,6},{3},{5,7}} => 3

[3,5,6,2,7,1,4] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,6,1,7,2,3,5] => {{1,4,7},{2,6},{3},{5}} => 3

[3,5,6,2,7,4,1] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,6,1,7,2,3,5] => {{1,4,7},{2,6},{3},{5}} => 3

[3,5,6,4,1,2,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,6,1,2,3,7,5] => {{1,4},{2,6,7},{3},{5}} => 3

[3,5,6,4,1,7,2] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,2,7,3,5] => {{1,4},{2,6},{3},{5,7}} => 3

[3,5,6,4,2,1,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [4,6,1,2,3,7,5] => {{1,4},{2,6,7},{3},{5}} => 3

[3,5,6,4,2,7,1] => [1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [4,6,1,2,7,3,5] => {{1,4},{2,6},{3},{5,7}} => 3

[3,5,6,4,7,1,2] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,6,1,7,2,3,5] => {{1,4,7},{2,6},{3},{5}} => 3

[3,5,6,4,7,2,1] => [1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [4,6,1,7,2,3,5] => {{1,4,7},{2,6},{3},{5}} => 3

[3,5,6,7,1,2,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,6,7,1,2,3,5] => {{1,4},{2,6},{3,7},{5}} => 4

[3,5,6,7,1,4,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,6,7,1,2,3,5] => {{1,4},{2,6},{3,7},{5}} => 4

[3,5,6,7,2,1,4] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,6,7,1,2,3,5] => {{1,4},{2,6},{3,7},{5}} => 4

[3,5,6,7,2,4,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,6,7,1,2,3,5] => {{1,4},{2,6},{3,7},{5}} => 4

[3,5,6,7,4,1,2] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,6,7,1,2,3,5] => {{1,4},{2,6},{3,7},{5}} => 4

[3,5,6,7,4,2,1] => [1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [4,6,7,1,2,3,5] => {{1,4},{2,6},{3,7},{5}} => 4

[3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,1,2,6,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,1,4,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,1,4,6,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,1,6,2,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,1,6,4,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,2,1,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,2,1,6,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,2,4,1,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,2,4,6,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,2,6,1,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,2,6,4,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,4,1,2,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,4,1,6,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,4,2,1,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,4,2,6,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,4,6,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,4,6,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,6,1,2,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,6,1,4,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,6,2,1,4] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,6,2,4,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,6,4,1,2] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,5,7,6,4,2,1] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [4,6,1,2,3,5,7] => {{1,4},{2,6},{3},{5},{7}} => 3

[3,6,1,2,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,1,2,4,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,1,2,5,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,1,2,5,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,1,2,7,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,1,2,7,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,1,4,2,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,1,4,2,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,1,4,5,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,1,4,5,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,1,4,7,2,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,1,4,7,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,1,5,2,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,1,5,2,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,1,5,4,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,1,5,4,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,1,5,7,2,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,1,5,7,4,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,1,7,2,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,1,7,2,5,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,1,7,4,2,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,1,7,4,5,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,1,7,5,2,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,1,7,5,4,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,2,1,4,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,2,1,4,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,2,1,5,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,2,1,5,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,2,1,7,4,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,2,1,7,5,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,2,4,1,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,2,4,1,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,2,4,5,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,2,4,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,2,4,7,5,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,2,5,1,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,2,5,1,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,2,5,4,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,2,5,4,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,2,5,7,1,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,2,5,7,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,2,7,1,5,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,2,7,4,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,2,7,4,5,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,2,7,5,1,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,2,7,5,4,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,4,1,2,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,4,1,2,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,4,1,5,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,4,1,5,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,4,1,7,2,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,4,1,7,5,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,4,2,1,5,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,4,2,1,7,5] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,4,2,5,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,4,2,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,4,2,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,4,2,7,5,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,4,5,1,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,4,5,1,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,4,5,2,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,4,5,2,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,4,5,7,1,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,4,5,7,2,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,4,7,1,2,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,4,7,1,5,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,4,7,2,1,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,4,7,2,5,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,4,7,5,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,4,7,5,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,5,1,2,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,5,1,2,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,5,1,4,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,5,1,4,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,5,1,7,2,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,5,1,7,4,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,5,2,1,4,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,5,2,1,7,4] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,5,2,4,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,5,2,4,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,5,2,7,1,4] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,5,2,7,4,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,5,4,1,2,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,5,4,1,7,2] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,5,4,2,1,7] => [1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [4,1,2,3,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => 2

[3,6,5,4,2,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [4,1,2,3,7,5,6] => {{1,4},{2},{3},{5,7},{6}} => 2

[3,6,5,4,7,1,2] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,5,4,7,2,1] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [4,1,2,7,3,5,6] => {{1,4,7},{2},{3},{5},{6}} => 2

[3,6,5,7,1,2,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,5,7,1,4,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,5,7,2,1,4] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,5,7,2,4,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,5,7,4,1,2] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,5,7,4,2,1] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [4,1,7,2,3,5,6] => {{1,4},{2},{3,7},{5},{6}} => 2

[3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,1,2,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,1,4,2,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,1,4,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,1,5,2,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,1,5,4,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,2,1,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,2,1,5,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,2,4,1,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,2,4,5,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,2,5,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,2,5,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,4,1,2,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,4,1,5,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,4,2,1,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,4,2,5,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,4,5,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,4,5,2,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,5,1,2,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,5,1,4,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,5,2,1,4] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,5,2,4,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,5,4,1,2] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,6,7,5,4,2,1] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [4,7,1,2,3,5,6] => {{1,4},{2,7},{3},{5},{6}} => 3

[3,7,1,2,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,2,4,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,2,5,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,2,5,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,2,6,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,2,6,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,4,2,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,4,2,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,4,5,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,4,5,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,4,6,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,4,6,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,5,2,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,5,2,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,5,4,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,5,4,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,5,6,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,5,6,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,6,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,6,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,6,4,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,6,4,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,6,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,1,6,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,1,4,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,1,4,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,1,5,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,1,5,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,1,6,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,1,6,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,4,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,4,1,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,4,5,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,4,5,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,4,6,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,4,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,5,1,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,5,1,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,5,4,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,5,4,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,5,6,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,5,6,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,6,1,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,6,1,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,6,4,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,6,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,6,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,2,6,5,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,1,2,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,1,2,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,1,5,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,1,5,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,1,6,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,1,6,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,2,1,5,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,2,1,6,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,2,5,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,2,5,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,2,6,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,2,6,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,5,1,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,5,1,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,5,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,5,2,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,5,6,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,5,6,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,6,1,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,6,1,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,6,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,6,2,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,6,5,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,4,6,5,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,1,2,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,1,2,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,1,4,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,1,4,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,1,6,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,1,6,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,2,1,4,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,2,1,6,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,2,4,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,2,4,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,2,6,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,2,6,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,4,1,2,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,4,1,6,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,4,2,1,6] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,4,2,6,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,4,6,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,4,6,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,6,1,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,6,1,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,6,2,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,6,2,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,6,4,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,5,6,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,1,2,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,1,2,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,1,4,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,1,4,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,1,5,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,1,5,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,2,1,4,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,2,1,5,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,2,4,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,2,4,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,2,5,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,2,5,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,4,1,2,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,4,1,5,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,4,2,1,5] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,4,2,5,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,4,5,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,4,5,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,5,1,2,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,5,1,4,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,5,2,1,4] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,5,2,4,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,5,4,1,2] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[3,7,6,5,4,2,1] => [1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [4,1,2,3,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => 2

[4,1,2,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 1

[4,1,2,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => 1

[4,1,2,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => 1

[4,1,2,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,7},{6}} => 1

[4,1,2,3,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,1,2,3,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,1,2,5,3,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => {{1},{2},{3,5,6,7},{4}} => 1

[4,1,2,5,3,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => {{1},{2},{3,5,6},{4},{7}} => 1

[4,1,2,5,6,3,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 1

[4,1,2,5,6,7,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] => {{1},{2},{3,5,7},{4,6}} => 1

[4,1,2,5,7,3,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,1,2,5,7,6,3] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,1,2,6,3,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,1,2,6,3,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,1,2,6,5,3,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,1,2,6,5,7,3] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,1,2,6,7,3,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,1,2,6,7,5,3] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,1,2,7,3,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,2,7,3,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,2,7,5,3,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,2,7,5,6,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,2,7,6,3,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,2,7,6,5,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,3,2,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 1

[4,1,3,2,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => 1

[4,1,3,2,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => 1

[4,1,3,2,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,7},{6}} => 1

[4,1,3,2,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,1,3,2,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,1,3,5,2,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => {{1},{2},{3,5,6,7},{4}} => 1

[4,1,3,5,2,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => {{1},{2},{3,5,6},{4},{7}} => 1

[4,1,3,5,6,2,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 1

[4,1,3,5,6,7,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] => {{1},{2},{3,5,7},{4,6}} => 1

[4,1,3,5,7,2,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,1,3,5,7,6,2] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,1,3,6,2,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,1,3,6,2,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,1,3,6,5,2,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,1,3,6,5,7,2] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,1,3,6,7,2,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,1,3,6,7,5,2] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,1,3,7,2,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,3,7,2,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,3,7,5,2,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,3,7,5,6,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,3,7,6,2,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,3,7,6,5,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,1,5,2,3,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,3,6,7,4] => {{1},{2,5,6,7},{3},{4}} => 1

[4,1,5,2,3,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2,3,6,4,7] => {{1},{2,5,6},{3},{4},{7}} => 1

[4,1,5,2,6,3,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4] => {{1},{2,5},{3},{4,6,7}} => 1

[4,1,5,2,6,7,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,7,3,4] => {{1},{2,5,7},{3},{4,6}} => 1

[4,1,5,2,7,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,1,5,2,7,6,3] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,1,5,3,2,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,3,6,7,4] => {{1},{2,5,6,7},{3},{4}} => 1

[4,1,5,3,2,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2,3,6,4,7] => {{1},{2,5,6},{3},{4},{7}} => 1

[4,1,5,3,6,2,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4] => {{1},{2,5},{3},{4,6,7}} => 1

[4,1,5,3,6,7,2] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,7,3,4] => {{1},{2,5,7},{3},{4,6}} => 1

[4,1,5,3,7,2,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,1,5,3,7,6,2] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,1,5,6,2,3,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,5,6,2,3,7,4] => {{1},{2,5},{3,6,7},{4}} => 1

[4,1,5,6,2,7,3] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,6,2,7,3,4] => {{1},{2,5,7},{3,6},{4}} => 1

[4,1,5,6,3,2,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,5,6,2,3,7,4] => {{1},{2,5},{3,6,7},{4}} => 1

[4,1,5,6,3,7,2] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,6,2,7,3,4] => {{1},{2,5,7},{3,6},{4}} => 1

[4,1,5,6,7,2,3] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[4,1,5,6,7,3,2] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[4,1,5,7,2,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,1,5,7,2,6,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,1,5,7,3,2,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,1,5,7,3,6,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,1,5,7,6,2,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,1,5,7,6,3,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,1,6,2,3,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,1,6,2,3,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,1,6,2,5,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,1,6,2,5,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,1,6,2,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,1,6,2,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,1,6,3,2,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,1,6,3,2,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,1,6,3,5,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,1,6,3,5,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,1,6,3,7,2,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,1,6,3,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,1,6,5,2,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,1,6,5,2,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,1,6,5,3,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,1,6,5,3,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,1,6,5,7,2,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,1,6,5,7,3,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,1,6,7,2,3,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,1,6,7,2,5,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,1,6,7,3,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,1,6,7,3,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,1,6,7,5,2,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,1,6,7,5,3,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,1,7,2,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,2,3,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,2,5,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,2,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,2,6,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,2,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,3,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,3,2,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,3,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,3,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,3,6,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,3,6,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,5,2,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,5,2,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,5,3,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,5,3,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,5,6,2,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,5,6,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,6,2,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,6,2,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,6,3,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,6,3,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,6,5,2,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,1,7,6,5,3,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,1,3,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 1

[4,2,1,3,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => 1

[4,2,1,3,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => 1

[4,2,1,3,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,7},{6}} => 1

[4,2,1,3,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,2,1,3,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,2,1,5,3,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => {{1},{2},{3,5,6,7},{4}} => 1

[4,2,1,5,3,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => {{1},{2},{3,5,6},{4},{7}} => 1

[4,2,1,5,6,3,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 1

[4,2,1,5,6,7,3] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] => {{1},{2},{3,5,7},{4,6}} => 1

[4,2,1,5,7,3,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,2,1,5,7,6,3] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,2,1,6,3,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,2,1,6,3,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,2,1,6,5,3,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,2,1,6,5,7,3] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,2,1,6,7,3,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,2,1,6,7,5,3] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,2,1,7,3,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,1,7,3,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,1,7,5,3,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,1,7,5,6,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,1,7,6,3,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,1,7,6,5,3] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,3,1,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 1

[4,2,3,1,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => 1

[4,2,3,1,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => 1

[4,2,3,1,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,7},{6}} => 1

[4,2,3,1,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,2,3,1,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,2,3,5,1,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => {{1},{2},{3,5,6,7},{4}} => 1

[4,2,3,5,1,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => {{1},{2},{3,5,6},{4},{7}} => 1

[4,2,3,5,6,1,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 1

[4,2,3,5,6,7,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] => {{1},{2},{3,5,7},{4,6}} => 1

[4,2,3,5,7,1,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,2,3,5,7,6,1] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,2,3,6,1,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,2,3,6,1,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,2,3,6,5,1,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,2,3,6,5,7,1] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,2,3,6,7,1,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,2,3,6,7,5,1] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,2,3,7,1,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,3,7,1,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,3,7,5,1,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,3,7,5,6,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,3,7,6,1,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,3,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,2,5,1,3,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,3,6,7,4] => {{1},{2,5,6,7},{3},{4}} => 1

[4,2,5,1,3,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2,3,6,4,7] => {{1},{2,5,6},{3},{4},{7}} => 1

[4,2,5,1,6,3,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4] => {{1},{2,5},{3},{4,6,7}} => 1

[4,2,5,1,6,7,3] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,7,3,4] => {{1},{2,5,7},{3},{4,6}} => 1

[4,2,5,1,7,3,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,2,5,1,7,6,3] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,2,5,3,1,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,3,6,7,4] => {{1},{2,5,6,7},{3},{4}} => 1

[4,2,5,3,1,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2,3,6,4,7] => {{1},{2,5,6},{3},{4},{7}} => 1

[4,2,5,3,6,1,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4] => {{1},{2,5},{3},{4,6,7}} => 1

[4,2,5,3,6,7,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,7,3,4] => {{1},{2,5,7},{3},{4,6}} => 1

[4,2,5,3,7,1,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,2,5,3,7,6,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,2,5,6,1,3,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,5,6,2,3,7,4] => {{1},{2,5},{3,6,7},{4}} => 1

[4,2,5,6,1,7,3] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,6,2,7,3,4] => {{1},{2,5,7},{3,6},{4}} => 1

[4,2,5,6,3,1,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,5,6,2,3,7,4] => {{1},{2,5},{3,6,7},{4}} => 1

[4,2,5,6,3,7,1] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,6,2,7,3,4] => {{1},{2,5,7},{3,6},{4}} => 1

[4,2,5,6,7,1,3] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[4,2,5,6,7,3,1] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[4,2,5,7,1,3,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,2,5,7,1,6,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,2,5,7,3,1,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,2,5,7,3,6,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,2,5,7,6,1,3] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,2,5,7,6,3,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,2,6,1,3,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,2,6,1,3,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,2,6,1,5,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,2,6,1,5,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,2,6,1,7,3,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,2,6,1,7,5,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,2,6,3,1,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,2,6,3,1,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,2,6,3,5,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,2,6,3,5,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,2,6,3,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,2,6,3,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,2,6,5,1,3,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,2,6,5,1,7,3] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,2,6,5,3,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,2,6,5,3,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,2,6,5,7,1,3] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,2,6,5,7,3,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,2,6,7,1,3,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,2,6,7,1,5,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,2,6,7,3,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,2,6,7,3,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,2,6,7,5,1,3] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,2,6,7,5,3,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,2,7,1,3,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,1,3,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,1,5,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,1,5,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,1,6,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,1,6,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,3,1,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,3,1,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,3,5,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,3,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,3,6,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,3,6,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,5,1,3,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,5,1,6,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,5,3,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,5,3,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,5,6,1,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,5,6,3,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,6,1,3,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,6,1,5,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,6,3,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,6,3,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,6,5,1,3] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,2,7,6,5,3,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,1,2,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 1

[4,3,1,2,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => 1

[4,3,1,2,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => 1

[4,3,1,2,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,7},{6}} => 1

[4,3,1,2,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,3,1,2,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,3,1,5,2,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => {{1},{2},{3,5,6,7},{4}} => 1

[4,3,1,5,2,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => {{1},{2},{3,5,6},{4},{7}} => 1

[4,3,1,5,6,2,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 1

[4,3,1,5,6,7,2] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] => {{1},{2},{3,5,7},{4,6}} => 1

[4,3,1,5,7,2,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,3,1,5,7,6,2] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,3,1,6,2,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,3,1,6,2,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,3,1,6,5,2,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,3,1,6,5,7,2] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,3,1,6,7,2,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,3,1,6,7,5,2] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,3,1,7,2,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,1,7,2,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,1,7,5,2,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,1,7,5,6,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,1,7,6,2,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,1,7,6,5,2] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,2,1,5,6,7] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 1

[4,3,2,1,5,7,6] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => 1

[4,3,2,1,6,5,7] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => 1

[4,3,2,1,6,7,5] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,7},{6}} => 1

[4,3,2,1,7,5,6] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,3,2,1,7,6,5] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 1

[4,3,2,5,1,6,7] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => {{1},{2},{3,5,6,7},{4}} => 1

[4,3,2,5,1,7,6] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => {{1},{2},{3,5,6},{4},{7}} => 1

[4,3,2,5,6,1,7] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 1

[4,3,2,5,6,7,1] => [1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] => {{1},{2},{3,5,7},{4,6}} => 1

[4,3,2,5,7,1,6] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,3,2,5,7,6,1] => [1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 1

[4,3,2,6,1,5,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,3,2,6,1,7,5] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,3,2,6,5,1,7] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => {{1},{2},{3,5},{4},{6,7}} => 1

[4,3,2,6,5,7,1] => [1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => {{1},{2},{3,5,7},{4},{6}} => 1

[4,3,2,6,7,1,5] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,3,2,6,7,5,1] => [1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,7},{6}} => 1

[4,3,2,7,1,5,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,2,7,1,6,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,2,7,5,1,6] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,2,7,5,6,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,2,7,6,1,5] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => {{1},{2},{3,5},{4},{6},{7}} => 1

[4,3,5,1,2,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,3,6,7,4] => {{1},{2,5,6,7},{3},{4}} => 1

[4,3,5,1,2,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2,3,6,4,7] => {{1},{2,5,6},{3},{4},{7}} => 1

[4,3,5,1,6,2,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4] => {{1},{2,5},{3},{4,6,7}} => 1

[4,3,5,1,6,7,2] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,7,3,4] => {{1},{2,5,7},{3},{4,6}} => 1

[4,3,5,1,7,2,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,3,5,1,7,6,2] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,3,5,2,1,6,7] => [1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [1,5,2,3,6,7,4] => {{1},{2,5,6,7},{3},{4}} => 1

[4,3,5,2,1,7,6] => [1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [1,5,2,3,6,4,7] => {{1},{2,5,6},{3},{4},{7}} => 1

[4,3,5,2,6,1,7] => [1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [1,5,2,6,3,7,4] => {{1},{2,5},{3},{4,6,7}} => 1

[4,3,5,2,6,7,1] => [1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [1,5,2,6,7,3,4] => {{1},{2,5,7},{3},{4,6}} => 1

[4,3,5,2,7,1,6] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,3,5,2,7,6,1] => [1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [1,5,2,6,3,4,7] => {{1},{2,5},{3},{4,6},{7}} => 1

[4,3,5,6,1,2,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,5,6,2,3,7,4] => {{1},{2,5},{3,6,7},{4}} => 1

[4,3,5,6,1,7,2] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,6,2,7,3,4] => {{1},{2,5,7},{3,6},{4}} => 1

[4,3,5,6,2,1,7] => [1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [1,5,6,2,3,7,4] => {{1},{2,5},{3,6,7},{4}} => 1

[4,3,5,6,2,7,1] => [1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [1,5,6,2,7,3,4] => {{1},{2,5,7},{3,6},{4}} => 1

[4,3,5,6,7,1,2] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[4,3,5,6,7,2,1] => [1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[4,3,5,7,1,2,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,3,5,7,1,6,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,3,5,7,2,1,6] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,3,5,7,2,6,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,3,5,7,6,1,2] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,3,5,7,6,2,1] => [1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [1,5,6,2,3,4,7] => {{1},{2,5},{3,6},{4},{7}} => 1

[4,3,6,1,2,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,3,6,1,2,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,3,6,1,5,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,3,6,1,5,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,3,6,1,7,2,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,3,6,1,7,5,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,3,6,2,1,5,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,3,6,2,1,7,5] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,3,6,2,5,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,3,6,2,5,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,3,6,2,7,1,5] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,3,6,5,1,2,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,3,6,5,1,7,2] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,3,6,5,2,1,7] => [1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [1,5,2,3,4,7,6] => {{1},{2,5},{3},{4},{6,7}} => 1

[4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [1,5,2,3,7,4,6] => {{1},{2,5,7},{3},{4},{6}} => 1

[4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,3,6,5,7,2,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [1,5,2,7,3,4,6] => {{1},{2,5},{3},{4,7},{6}} => 1

[4,3,6,7,1,2,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,3,6,7,2,5,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,3,6,7,5,1,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,3,6,7,5,2,1] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [1,5,7,2,3,4,6] => {{1},{2,5},{3,7},{4},{6}} => 1

[4,3,7,1,2,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,1,2,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,1,5,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,1,5,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,1,6,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,1,6,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,2,1,5,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,2,1,6,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,2,5,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,2,5,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,2,6,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,2,6,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,5,1,2,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,5,1,6,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,5,2,1,6] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,5,2,6,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,5,6,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,5,6,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,6,1,2,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,6,1,5,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,6,2,1,5] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,6,2,5,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,6,5,1,2] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,3,7,6,5,2,1] => [1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [1,5,2,3,4,6,7] => {{1},{2,5},{3},{4},{6},{7}} => 1

[4,5,1,2,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,2,3,6,7,4] => {{1,5,6,7},{2},{3},{4}} => 2

[4,5,1,2,3,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,1,2,3,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => 2

[4,5,1,2,6,3,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,7,4] => {{1,5},{2},{3},{4,6,7}} => 2

[4,5,1,2,6,7,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,2,6,7,3,4] => {{1,5,7},{2},{3},{4,6}} => 2

[4,5,1,2,7,3,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,1,2,7,6,3] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,1,3,2,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,2,3,6,7,4] => {{1,5,6,7},{2},{3},{4}} => 2

[4,5,1,3,2,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,1,2,3,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => 2

[4,5,1,3,6,2,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,7,4] => {{1,5},{2},{3},{4,6,7}} => 2

[4,5,1,3,6,7,2] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,2,6,7,3,4] => {{1,5,7},{2},{3},{4,6}} => 2

[4,5,1,3,7,2,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,1,3,7,6,2] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,1,6,2,3,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,6,2,3,7,4] => {{1,5},{2},{3,6,7},{4}} => 2

[4,5,1,6,2,7,3] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,4] => {{1,5,7},{2},{3,6},{4}} => 2

[4,5,1,6,3,2,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,6,2,3,7,4] => {{1,5},{2},{3,6,7},{4}} => 2

[4,5,1,6,3,7,2] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,4] => {{1,5,7},{2},{3,6},{4}} => 2

[4,5,1,6,7,2,3] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,1,6,7,2,3,4] => {{1,5},{2},{3,6},{4,7}} => 2

[4,5,1,6,7,3,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,1,6,7,2,3,4] => {{1,5},{2},{3,6},{4,7}} => 2

[4,5,1,7,2,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,1,7,2,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,1,7,3,2,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,1,7,3,6,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,1,7,6,2,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,1,7,6,3,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,2,1,3,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,2,3,6,7,4] => {{1,5,6,7},{2},{3},{4}} => 2

[4,5,2,1,3,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,1,2,3,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => 2

[4,5,2,1,6,3,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,7,4] => {{1,5},{2},{3},{4,6,7}} => 2

[4,5,2,1,6,7,3] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,2,6,7,3,4] => {{1,5,7},{2},{3},{4,6}} => 2

[4,5,2,1,7,3,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,2,1,7,6,3] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,2,3,1,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,2,3,6,7,4] => {{1,5,6,7},{2},{3},{4}} => 2

[4,5,2,3,1,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,1,2,3,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => 2

[4,5,2,3,6,1,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,7,4] => {{1,5},{2},{3},{4,6,7}} => 2

[4,5,2,3,6,7,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,2,6,7,3,4] => {{1,5,7},{2},{3},{4,6}} => 2

[4,5,2,3,7,1,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,2,3,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,2,6,1,3,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,6,2,3,7,4] => {{1,5},{2},{3,6,7},{4}} => 2

[4,5,2,6,1,7,3] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,4] => {{1,5,7},{2},{3,6},{4}} => 2

[4,5,2,6,3,1,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,6,2,3,7,4] => {{1,5},{2},{3,6,7},{4}} => 2

[4,5,2,6,3,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,4] => {{1,5,7},{2},{3,6},{4}} => 2

[4,5,2,6,7,1,3] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,1,6,7,2,3,4] => {{1,5},{2},{3,6},{4,7}} => 2

[4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,1,6,7,2,3,4] => {{1,5},{2},{3,6},{4,7}} => 2

[4,5,2,7,1,3,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,2,7,1,6,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,2,7,3,1,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,2,7,6,3,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,3,1,2,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,2,3,6,7,4] => {{1,5,6,7},{2},{3},{4}} => 2

[4,5,3,1,2,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,1,2,3,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => 2

[4,5,3,1,6,2,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,7,4] => {{1,5},{2},{3},{4,6,7}} => 2

[4,5,3,1,6,7,2] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,2,6,7,3,4] => {{1,5,7},{2},{3},{4,6}} => 2

[4,5,3,1,7,2,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,3,1,7,6,2] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,3,2,1,6,7] => [1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [5,1,2,3,6,7,4] => {{1,5,6,7},{2},{3},{4}} => 2

[4,5,3,2,1,7,6] => [1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [5,1,2,3,6,4,7] => {{1,5,6},{2},{3},{4},{7}} => 2

[4,5,3,2,6,1,7] => [1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [5,1,2,6,3,7,4] => {{1,5},{2},{3},{4,6,7}} => 2

[4,5,3,2,6,7,1] => [1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [5,1,2,6,7,3,4] => {{1,5,7},{2},{3},{4,6}} => 2

[4,5,3,2,7,1,6] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [5,1,2,6,3,4,7] => {{1,5},{2},{3},{4,6},{7}} => 2

[4,5,3,6,1,2,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,6,2,3,7,4] => {{1,5},{2},{3,6,7},{4}} => 2

[4,5,3,6,1,7,2] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,4] => {{1,5,7},{2},{3,6},{4}} => 2

[4,5,3,6,2,1,7] => [1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [5,1,6,2,3,7,4] => {{1,5},{2},{3,6,7},{4}} => 2

[4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [5,1,6,2,7,3,4] => {{1,5,7},{2},{3,6},{4}} => 2

[4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,1,6,7,2,3,4] => {{1,5},{2},{3,6},{4,7}} => 2

[4,5,3,6,7,2,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [5,1,6,7,2,3,4] => {{1,5},{2},{3,6},{4,7}} => 2

[4,5,3,7,1,2,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,3,7,1,6,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,3,7,2,1,6] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,3,7,2,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,3,7,6,1,2] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,3,7,6,2,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [5,1,6,2,3,4,7] => {{1,5},{2},{3,6},{4},{7}} => 2

[4,5,6,1,2,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,6,1,2,3,7,4] => {{1,5},{2,6,7},{3},{4}} => 3

[4,5,6,1,2,7,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,6,1,2,7,3,4] => {{1,5,7},{2,6},{3},{4}} => 3

[4,5,6,1,3,2,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,6,1,2,3,7,4] => {{1,5},{2,6,7},{3},{4}} => 3

[4,5,6,1,3,7,2] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,6,1,2,7,3,4] => {{1,5,7},{2,6},{3},{4}} => 3

[4,5,6,1,7,2,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,6,1,7,2,3,4] => {{1,5},{2,6},{3},{4,7}} => 3

[4,5,6,1,7,3,2] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,6,1,7,2,3,4] => {{1,5},{2,6},{3},{4,7}} => 3

[4,5,6,2,1,3,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,6,1,2,3,7,4] => {{1,5},{2,6,7},{3},{4}} => 3

[4,5,6,2,1,7,3] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,6,1,2,7,3,4] => {{1,5,7},{2,6},{3},{4}} => 3

[4,5,6,2,3,1,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,6,1,2,3,7,4] => {{1,5},{2,6,7},{3},{4}} => 3

[4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,6,1,2,7,3,4] => {{1,5,7},{2,6},{3},{4}} => 3

[4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,6,1,7,2,3,4] => {{1,5},{2,6},{3},{4,7}} => 3

[4,5,6,2,7,3,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,6,1,7,2,3,4] => {{1,5},{2,6},{3},{4,7}} => 3

[4,5,6,3,1,2,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,6,1,2,3,7,4] => {{1,5},{2,6,7},{3},{4}} => 3

[4,5,6,3,1,7,2] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,6,1,2,7,3,4] => {{1,5,7},{2,6},{3},{4}} => 3

[4,5,6,3,2,1,7] => [1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [5,6,1,2,3,7,4] => {{1,5},{2,6,7},{3},{4}} => 3

[4,5,6,3,2,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [5,6,1,2,7,3,4] => {{1,5,7},{2,6},{3},{4}} => 3

[4,5,6,3,7,1,2] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,6,1,7,2,3,4] => {{1,5},{2,6},{3},{4,7}} => 3

[4,5,6,3,7,2,1] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [5,6,1,7,2,3,4] => {{1,5},{2,6},{3},{4,7}} => 3

[4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,1,2,3,4] => {{1,5},{2,6},{3,7},{4}} => 4

[4,5,6,7,1,3,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,1,2,3,4] => {{1,5},{2,6},{3,7},{4}} => 4

[4,5,6,7,2,1,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,1,2,3,4] => {{1,5},{2,6},{3,7},{4}} => 4

[4,5,6,7,2,3,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,1,2,3,4] => {{1,5},{2,6},{3,7},{4}} => 4

[4,5,6,7,3,1,2] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,1,2,3,4] => {{1,5},{2,6},{3,7},{4}} => 4

[4,5,6,7,3,2,1] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,1,2,3,4] => {{1,5},{2,6},{3,7},{4}} => 4

[4,5,7,1,2,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,1,2,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,1,3,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,1,3,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,1,6,2,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,1,6,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,2,1,3,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,2,1,6,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,2,3,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,2,3,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,2,6,1,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,2,6,3,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,3,1,2,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,3,1,6,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,3,2,1,6] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,3,2,6,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,3,6,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,3,6,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,6,1,2,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,6,1,3,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,6,2,1,3] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,6,2,3,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,6,3,1,2] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,5,7,6,3,2,1] => [1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [5,6,1,2,3,4,7] => {{1,5},{2,6},{3},{4},{7}} => 3

[4,6,1,2,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,1,2,3,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,1,2,5,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,1,2,5,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,1,2,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,1,2,7,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,1,3,2,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,1,3,2,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,1,3,5,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,1,3,5,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,1,3,7,2,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,1,3,7,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,1,5,2,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,1,5,2,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,1,5,3,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,1,5,3,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,1,5,7,2,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,1,5,7,3,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,1,7,2,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,1,7,2,5,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,1,7,3,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,1,7,3,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,1,7,5,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,1,7,5,3,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,2,1,3,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,2,1,3,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,2,1,5,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,2,1,5,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,2,1,7,3,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,2,1,7,5,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,2,3,1,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,2,3,1,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,2,3,5,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,2,3,5,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,2,3,7,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,2,3,7,5,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,2,5,1,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,2,5,1,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,2,5,3,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,2,5,3,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,2,5,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,2,5,7,3,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,2,7,1,3,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,2,7,1,5,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,2,7,3,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,2,7,3,5,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,2,7,5,1,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,2,7,5,3,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,3,1,2,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,3,1,2,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,3,1,5,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,3,1,5,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,3,1,7,2,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,3,1,7,5,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,3,2,1,5,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,3,2,1,7,5] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,3,2,5,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,3,2,5,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,3,2,7,1,5] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,3,2,7,5,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,3,5,1,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,3,5,1,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,3,5,2,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,3,5,2,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,3,5,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,3,5,7,2,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,3,7,1,2,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,3,7,1,5,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,3,7,2,1,5] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,3,7,2,5,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,3,7,5,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,3,7,5,2,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,5,1,2,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,5,1,2,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,5,1,3,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,5,1,3,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,5,1,7,2,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,5,1,7,3,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,5,2,1,3,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,5,2,1,7,3] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,5,2,3,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,5,2,3,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,5,2,7,1,3] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,5,2,7,3,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,5,3,1,2,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,5,3,1,7,2] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,5,3,2,1,7] => [1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [5,1,2,3,4,7,6] => {{1,5},{2},{3},{4},{6,7}} => 2

[4,6,5,3,2,7,1] => [1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [5,1,2,3,7,4,6] => {{1,5,7},{2},{3},{4},{6}} => 2

[4,6,5,3,7,1,2] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,5,3,7,2,1] => [1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [5,1,2,7,3,4,6] => {{1,5},{2},{3},{4,7},{6}} => 2

[4,6,5,7,1,2,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,5,7,1,3,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,5,7,2,1,3] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,5,7,2,3,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,5,7,3,1,2] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,5,7,3,2,1] => [1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [5,1,7,2,3,4,6] => {{1,5},{2},{3,7},{4},{6}} => 2

[4,6,7,1,2,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,1,2,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,1,3,2,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,1,3,5,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,1,5,2,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,1,5,3,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,2,1,3,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,2,1,5,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,2,3,1,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,2,3,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,2,5,1,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,2,5,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,3,1,2,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,3,1,5,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,3,2,1,5] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,3,2,5,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,3,5,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,3,5,2,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,5,1,2,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,5,1,3,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,5,2,1,3] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,5,2,3,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,5,3,1,2] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,6,7,5,3,2,1] => [1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [5,7,1,2,3,4,6] => {{1,5},{2,7},{3},{4},{6}} => 3

[4,7,1,2,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,2,3,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,2,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,2,5,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,2,6,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,2,6,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,3,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,3,2,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,3,5,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,3,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,3,6,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,3,6,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,5,2,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,5,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,5,3,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,5,3,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,5,6,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,5,6,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,6,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,6,2,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,6,3,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,6,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,6,5,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,1,6,5,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,1,3,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,1,3,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,1,5,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,1,5,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,1,6,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,1,6,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,3,1,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,3,1,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,3,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,3,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,3,6,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,3,6,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,5,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,5,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,5,3,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,5,3,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,5,6,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,5,6,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,6,1,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,6,1,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,6,3,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,6,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,6,5,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,2,6,5,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,1,2,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,1,2,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,1,5,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,1,5,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,1,6,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,1,6,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,2,1,5,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,2,1,6,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,2,5,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,2,5,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,2,6,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,2,6,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,5,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,5,1,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,5,2,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,5,2,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,5,6,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,5,6,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,6,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,6,1,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,6,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,6,2,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,6,5,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,3,6,5,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,1,2,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,1,2,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,1,3,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,1,3,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,1,6,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,1,6,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,2,1,3,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,2,1,6,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,2,3,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,2,3,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,2,6,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,2,6,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,3,1,2,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,3,1,6,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,3,2,1,6] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,3,2,6,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,3,6,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,3,6,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,6,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,6,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,6,2,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,6,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,6,3,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,5,6,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,1,2,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,1,2,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,1,3,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,1,3,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,1,5,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,1,5,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,2,1,3,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,2,1,5,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,2,3,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,2,3,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,2,5,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,2,5,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,3,1,2,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,3,1,5,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,3,2,1,5] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,3,2,5,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,3,5,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,3,5,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,5,1,2,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,5,1,3,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,5,2,1,3] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,5,2,3,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,5,3,1,2] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[4,7,6,5,3,2,1] => [1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [5,1,2,3,4,6,7] => {{1,5},{2},{3},{4},{6},{7}} => 2

[5,1,2,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,1,2,3,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,1,2,3,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,1,2,3,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,1,2,3,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,2,3,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,2,4,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,1,2,4,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,1,2,4,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,1,2,4,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,1,2,4,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,2,4,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,2,6,3,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,1,2,6,3,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,1,2,6,4,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,1,2,6,4,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,1,2,6,7,3,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,1,2,6,7,4,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,1,2,7,3,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,2,7,3,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,2,7,4,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,2,7,4,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,2,7,6,3,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,2,7,6,4,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,3,2,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,1,3,2,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,1,3,2,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,1,3,2,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,1,3,2,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,3,2,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,3,4,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,1,3,4,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,1,3,4,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,1,3,4,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,1,3,4,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,3,4,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,3,6,2,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,1,3,6,2,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,1,3,6,4,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,1,3,6,4,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,1,3,6,7,2,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,1,3,6,7,4,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,1,3,7,2,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,3,7,2,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,3,7,4,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,3,7,4,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,3,7,6,2,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,3,7,6,4,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,4,2,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,1,4,2,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,1,4,2,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,1,4,2,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,1,4,2,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,4,2,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,4,3,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,1,4,3,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,1,4,3,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,1,4,3,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,1,4,3,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,4,3,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,1,4,6,2,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,1,4,6,2,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,1,4,6,3,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,1,4,6,3,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,1,4,6,7,2,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,1,4,6,7,3,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,1,4,7,2,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,4,7,2,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,4,7,3,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,4,7,3,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,4,7,6,2,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,4,7,6,3,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,1,6,2,3,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,1,6,2,3,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,1,6,2,4,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,1,6,2,4,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,1,6,2,7,3,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,1,6,2,7,4,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,1,6,3,2,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,1,6,3,2,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,1,6,3,4,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,1,6,3,4,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,1,6,3,7,2,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,1,6,3,7,4,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,1,6,4,2,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,1,6,4,2,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,1,6,4,3,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,1,6,4,3,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,1,6,4,7,2,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,1,6,4,7,3,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,1,6,7,2,3,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,1,6,7,2,4,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,1,6,7,3,2,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,1,6,7,3,4,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,1,6,7,4,2,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,1,6,7,4,3,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,1,7,2,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,2,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,2,4,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,2,4,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,2,6,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,2,6,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,3,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,3,2,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,3,4,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,3,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,3,6,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,3,6,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,4,2,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,4,2,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,4,3,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,4,3,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,4,6,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,4,6,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,6,2,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,6,2,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,6,3,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,6,3,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,6,4,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,1,7,6,4,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,1,3,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,2,1,3,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,2,1,3,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,2,1,3,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,2,1,3,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,1,3,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,1,4,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,2,1,4,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,2,1,4,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,2,1,4,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,2,1,4,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,1,4,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,1,6,3,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,2,1,6,3,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,2,1,6,4,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,2,1,6,4,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,2,1,6,7,3,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,2,1,6,7,4,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,2,1,7,3,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,1,7,3,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,1,7,4,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,1,7,4,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,1,7,6,3,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,1,7,6,4,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,3,1,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,2,3,1,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,2,3,1,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,2,3,1,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,2,3,1,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,3,1,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,3,4,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,2,3,4,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,2,3,4,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,2,3,4,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,2,3,4,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,3,4,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,3,6,1,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,2,3,6,1,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,2,3,6,4,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,2,3,6,4,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,2,3,6,7,1,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,2,3,6,7,4,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,2,3,7,1,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,3,7,1,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,3,7,4,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,3,7,4,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,3,7,6,1,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,3,7,6,4,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,4,1,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,2,4,1,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,2,4,1,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,2,4,1,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,2,4,1,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,4,1,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,4,3,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,2,4,3,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,2,4,3,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,2,4,3,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,2,4,3,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,4,3,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,2,4,6,1,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,2,4,6,1,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,2,4,6,3,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,2,4,6,3,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,2,4,6,7,1,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,2,4,6,7,3,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,2,4,7,1,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,4,7,1,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,4,7,3,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,4,7,3,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,4,7,6,1,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,4,7,6,3,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,2,6,1,3,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,2,6,1,3,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,2,6,1,4,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,2,6,1,4,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,2,6,1,7,3,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,2,6,1,7,4,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,2,6,3,1,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,2,6,3,1,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,2,6,3,4,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,2,6,3,4,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,2,6,3,7,1,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,2,6,3,7,4,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,2,6,4,1,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,2,6,4,1,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,2,6,4,3,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,2,6,4,3,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,2,6,4,7,1,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,2,6,4,7,3,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,2,6,7,1,3,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,2,6,7,1,4,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,2,6,7,3,1,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,2,6,7,3,4,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,2,6,7,4,1,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,2,6,7,4,3,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,2,7,1,3,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,1,3,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,1,4,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,1,4,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,1,6,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,1,6,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,3,1,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,3,1,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,3,4,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,3,4,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,3,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,3,6,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,4,1,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,4,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,4,3,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,4,3,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,4,6,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,4,6,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,6,1,3,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,6,1,4,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,6,3,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,6,3,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,6,4,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,2,7,6,4,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,1,2,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,3,1,2,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,3,1,2,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,3,1,2,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,3,1,2,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,1,2,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,1,4,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,3,1,4,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,3,1,4,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,3,1,4,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,3,1,4,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,1,4,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,1,6,2,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,3,1,6,2,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,3,1,6,4,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,3,1,6,4,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,3,1,6,7,2,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,3,1,6,7,4,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,3,1,7,2,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,1,7,2,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,1,7,4,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,1,7,4,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,1,7,6,2,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,1,7,6,4,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,2,1,4,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,3,2,1,4,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,3,2,1,6,4,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,3,2,1,6,7,4] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,3,2,1,7,4,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,2,1,7,6,4] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,2,4,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,3,2,4,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,3,2,4,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,3,2,4,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,3,2,4,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,2,4,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,2,6,1,4,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,3,2,6,1,7,4] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,3,2,6,4,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,3,2,6,4,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,3,2,6,7,1,4] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,3,2,6,7,4,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,3,2,7,1,4,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,2,7,1,6,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,2,7,4,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,2,7,4,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,2,7,6,1,4] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,2,7,6,4,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,4,1,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,3,4,1,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,3,4,1,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,3,4,1,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,3,4,1,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,4,1,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,4,2,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,3,4,2,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,3,4,2,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,3,4,2,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,3,4,2,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,4,2,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,3,4,6,1,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,3,4,6,1,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,3,4,6,2,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,3,4,6,2,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,3,4,6,7,1,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,3,4,6,7,2,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,3,4,7,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,4,7,1,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,4,7,2,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,4,7,2,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,4,7,6,1,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,4,7,6,2,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,3,6,1,2,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,3,6,1,2,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,3,6,1,4,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,3,6,1,4,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,3,6,1,7,2,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,3,6,1,7,4,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,3,6,2,1,4,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,3,6,2,1,7,4] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,3,6,2,4,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,3,6,2,4,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,3,6,2,7,1,4] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,3,6,2,7,4,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,3,6,4,1,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,3,6,4,1,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,3,6,4,2,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,3,6,4,2,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,3,6,4,7,1,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,3,6,4,7,2,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,3,6,7,1,2,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,3,6,7,1,4,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,3,6,7,2,1,4] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,3,6,7,2,4,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,3,6,7,4,1,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,3,6,7,4,2,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,3,7,1,2,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,1,2,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,1,4,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,1,4,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,1,6,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,1,6,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,2,1,4,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,2,1,6,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,2,4,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,2,4,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,2,6,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,2,6,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,4,1,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,4,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,4,2,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,4,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,4,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,4,6,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,6,1,2,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,6,1,4,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,6,2,1,4] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,6,2,4,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,6,4,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,3,7,6,4,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,1,2,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,4,1,2,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,4,1,2,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,4,1,2,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,4,1,2,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,1,2,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,1,3,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,4,1,3,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,4,1,3,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,4,1,3,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,4,1,3,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,1,3,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,1,6,2,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,4,1,6,2,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,4,1,6,3,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,4,1,6,3,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,4,1,6,7,2,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,4,1,6,7,3,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,4,1,7,2,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,1,7,2,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,1,7,3,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,1,7,3,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,1,7,6,2,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,1,7,6,3,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,2,1,3,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,4,2,1,3,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,4,2,1,6,3,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,4,2,1,6,7,3] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,4,2,1,7,3,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,2,1,7,6,3] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,2,3,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,4,2,3,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,4,2,3,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,4,2,3,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,4,2,3,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,2,3,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,2,6,1,3,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,4,2,6,1,7,3] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,4,2,6,3,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,4,2,6,3,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,4,2,6,7,1,3] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,4,2,6,7,3,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,4,2,7,1,3,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,2,7,1,6,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,2,7,3,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,2,7,3,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,2,7,6,1,3] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,2,7,6,3,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,3,1,2,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,4,3,1,2,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,4,3,1,6,2,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,4,3,1,6,7,2] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,4,3,1,7,2,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,3,1,7,6,2] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,3,2,1,6,7] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 1

[5,4,3,2,1,7,6] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 1

[5,4,3,2,6,1,7] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,6,7},{5}} => 1

[5,4,3,2,6,7,1] => [1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 1

[5,4,3,2,7,1,6] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,3,2,7,6,1] => [1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,6},{5},{7}} => 1

[5,4,3,6,1,2,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,4,3,6,1,7,2] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,4,3,6,2,1,7] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => {{1},{2},{3,6,7},{4},{5}} => 1

[5,4,3,6,2,7,1] => [1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => {{1},{2},{3,6},{4},{5,7}} => 1

[5,4,3,6,7,1,2] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,4,3,6,7,2,1] => [1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => {{1},{2},{3,6},{4,7},{5}} => 1

[5,4,3,7,1,2,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,3,7,1,6,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,3,7,2,1,6] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,3,7,2,6,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,3,7,6,1,2] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,3,7,6,2,1] => [1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => {{1},{2},{3,6},{4},{5},{7}} => 1

[5,4,6,1,2,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,4,6,1,2,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,4,6,1,3,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,4,6,1,3,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,4,6,1,7,2,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,4,6,1,7,3,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,4,6,2,1,3,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,4,6,2,1,7,3] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,4,6,2,3,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,4,6,2,3,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,4,6,2,7,1,3] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,4,6,2,7,3,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,4,6,3,1,2,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,4,6,3,1,7,2] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,4,6,3,2,1,7] => [1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [1,6,2,3,4,7,5] => {{1},{2,6,7},{3},{4},{5}} => 1

[5,4,6,3,2,7,1] => [1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [1,6,2,3,7,4,5] => {{1},{2,6},{3},{4},{5,7}} => 1

[5,4,6,3,7,1,2] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,4,6,3,7,2,1] => [1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [1,6,2,7,3,4,5] => {{1},{2,6},{3},{4,7},{5}} => 1

[5,4,6,7,1,2,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,4,6,7,1,3,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,4,6,7,2,1,3] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,4,6,7,2,3,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,4,6,7,3,1,2] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,4,6,7,3,2,1] => [1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [1,6,7,2,3,4,5] => {{1},{2,6},{3,7},{4},{5}} => 1

[5,4,7,1,2,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,1,2,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,1,3,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,1,3,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,1,6,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,1,6,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,2,1,3,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,2,1,6,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,2,3,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,2,3,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,2,6,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,2,6,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,3,1,2,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,3,1,6,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,3,2,1,6] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,3,2,6,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,3,6,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,3,6,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,6,1,2,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,6,1,3,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,6,2,1,3] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,6,2,3,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,6,3,1,2] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,4,7,6,3,2,1] => [1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [1,6,2,3,4,5,7] => {{1},{2,6},{3},{4},{5},{7}} => 1

[5,6,1,2,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,1,2,3,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,1,2,4,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,1,2,4,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,1,2,7,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,1,2,7,4,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,1,3,2,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,1,3,2,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,1,3,4,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,1,3,4,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,1,3,7,2,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,1,3,7,4,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,1,4,2,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,1,4,2,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,1,4,3,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,1,4,3,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,1,4,7,2,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,1,4,7,3,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,1,7,2,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,1,7,2,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,1,7,3,2,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,1,7,3,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,1,7,4,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,1,7,4,3,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,2,1,3,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,2,1,3,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,2,1,4,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,2,1,4,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,2,1,7,3,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,2,1,7,4,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,2,3,1,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,2,3,1,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,2,3,4,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,2,3,4,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,2,3,7,1,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,2,3,7,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,2,4,1,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,2,4,1,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,2,4,3,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,2,4,3,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,2,4,7,1,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,2,4,7,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,2,7,1,3,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,2,7,1,4,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,2,7,3,1,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,2,7,3,4,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,2,7,4,1,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,2,7,4,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,3,1,2,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,3,1,2,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,3,1,4,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,3,1,4,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,3,1,7,2,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,3,1,7,4,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,3,2,1,4,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,3,2,1,7,4] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,3,2,4,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,3,2,4,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,3,2,7,1,4] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,3,2,7,4,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,3,4,1,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,3,4,1,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,3,4,2,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,3,4,2,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,3,4,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,3,4,7,2,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,3,7,1,2,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,3,7,1,4,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,3,7,2,1,4] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,3,7,2,4,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,3,7,4,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,3,7,4,2,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,4,1,2,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,4,1,2,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,4,1,3,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,4,1,3,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,4,1,7,2,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,4,1,7,3,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,4,2,1,3,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,4,2,1,7,3] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,4,2,3,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,4,2,3,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,4,2,7,1,3] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,4,2,7,3,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,4,3,1,2,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,4,3,1,7,2] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,4,3,2,1,7] => [1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [6,1,2,3,4,7,5] => {{1,6,7},{2},{3},{4},{5}} => 2

[5,6,4,3,2,7,1] => [1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [6,1,2,3,7,4,5] => {{1,6},{2},{3},{4},{5,7}} => 2

[5,6,4,3,7,1,2] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,4,3,7,2,1] => [1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [6,1,2,7,3,4,5] => {{1,6},{2},{3},{4,7},{5}} => 2

[5,6,4,7,1,2,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,4,7,1,3,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,4,7,2,1,3] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,4,7,2,3,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,4,7,3,1,2] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,4,7,3,2,1] => [1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [6,1,7,2,3,4,5] => {{1,6},{2},{3,7},{4},{5}} => 2

[5,6,7,1,2,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,1,2,4,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,1,3,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,1,3,4,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,1,4,2,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,1,4,3,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,2,1,3,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,2,1,4,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,2,3,1,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,2,3,4,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,2,4,1,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,2,4,3,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,3,1,2,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,3,1,4,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,3,2,1,4] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,3,2,4,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,3,4,1,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,3,4,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,4,1,2,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,4,1,3,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,4,2,1,3] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,4,2,3,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,4,3,1,2] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,6,7,4,3,2,1] => [1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [6,7,1,2,3,4,5] => {{1,6},{2,7},{3},{4},{5}} => 3

[5,7,1,2,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,2,3,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,2,4,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,2,4,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,2,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,2,6,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,3,2,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,3,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,3,4,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,3,4,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,3,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,3,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,4,2,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,4,2,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,4,3,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,4,3,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,4,6,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,4,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,6,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,6,2,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,6,3,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,6,3,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,6,4,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,1,6,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,1,3,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,1,3,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,1,4,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,1,4,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,1,6,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,1,6,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,3,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,3,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,3,4,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,3,4,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,3,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,3,6,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,4,1,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,4,1,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,4,3,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,4,3,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,4,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,4,6,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,6,1,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,6,1,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,6,3,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,6,3,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,6,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,2,6,4,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,1,2,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,1,2,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,1,4,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,1,4,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,1,6,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,1,6,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,2,1,4,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,2,1,6,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,2,4,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,2,4,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,2,6,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,2,6,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,4,1,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,4,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,4,2,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,4,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,4,6,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,4,6,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,6,1,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,6,1,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,6,2,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,6,2,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,6,4,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,3,6,4,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,1,2,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,1,2,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,1,3,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,1,3,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,1,6,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,1,6,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,2,1,3,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,2,1,6,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,2,3,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,2,3,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,2,6,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,2,6,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,3,1,2,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,3,1,6,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,3,2,1,6] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,3,2,6,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,3,6,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,3,6,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,6,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,6,1,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,6,2,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,6,2,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,6,3,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,4,6,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,1,2,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,1,2,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,1,3,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,1,3,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,1,4,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,1,4,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,2,1,3,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,2,1,4,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,2,3,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,2,3,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,2,4,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,2,4,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,3,1,2,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,3,1,4,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,3,2,1,4] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,3,2,4,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,3,4,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,3,4,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,4,1,2,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,4,1,3,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,4,2,1,3] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,4,2,3,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,4,3,1,2] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[5,7,6,4,3,2,1] => [1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [6,1,2,3,4,5,7] => {{1,6},{2},{3},{4},{5},{7}} => 2

[6,1,2,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,2,3,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,2,3,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,2,3,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,2,3,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,2,3,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,2,4,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,2,4,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,2,4,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,2,4,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,2,4,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,2,4,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,2,5,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,2,5,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,2,5,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,2,5,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,2,5,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,2,5,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,2,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,2,7,3,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,2,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,2,7,4,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,2,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,2,7,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,3,2,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,3,2,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,3,2,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,3,2,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,3,2,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,3,2,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,3,4,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,3,4,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,3,4,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,3,4,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,3,4,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,3,4,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,3,5,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,3,5,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,3,5,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,3,5,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,3,5,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,3,5,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,3,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,3,7,2,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,3,7,4,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,3,7,4,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,3,7,5,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,3,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,4,2,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,4,2,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,4,2,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,4,2,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,4,2,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,4,2,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,4,3,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,4,3,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,4,3,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,4,3,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,4,3,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,4,3,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,4,5,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,4,5,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,4,5,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,4,5,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,4,5,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,4,5,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,4,7,2,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,4,7,2,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,4,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,4,7,3,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,4,7,5,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,4,7,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,5,2,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,5,2,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,5,2,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,5,2,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,5,2,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,5,2,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,5,3,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,5,3,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,5,3,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,5,3,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,5,3,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,5,3,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,5,4,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,5,4,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,5,4,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,1,5,4,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,1,5,4,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,5,4,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,1,5,7,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,5,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,5,7,3,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,5,7,3,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,5,7,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,5,7,4,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,1,7,2,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,2,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,2,4,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,2,4,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,2,5,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,2,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,3,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,3,2,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,3,4,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,3,4,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,3,5,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,3,5,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,4,2,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,4,2,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,4,3,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,4,3,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,4,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,4,5,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,5,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,5,2,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,5,3,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,5,3,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,5,4,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,1,7,5,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,1,3,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,1,3,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,1,3,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,1,3,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,1,3,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,1,3,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,1,4,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,1,4,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,1,4,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,1,4,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,1,4,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,1,4,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,1,5,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,1,5,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,1,5,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,1,5,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,1,5,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,1,5,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,1,7,3,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,1,7,3,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,1,7,4,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,1,7,4,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,1,7,5,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,1,7,5,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,3,1,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,3,1,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,3,1,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,3,1,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,3,1,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,3,1,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,3,4,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,3,4,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,3,4,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,3,4,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,3,4,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,3,4,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,3,5,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,3,5,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,3,5,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,3,5,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,3,5,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,3,5,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,3,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,3,7,1,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,3,7,4,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,3,7,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,3,7,5,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,3,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,4,1,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,4,1,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,4,1,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,4,1,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,4,1,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,4,1,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,4,3,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,4,3,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,4,3,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,4,3,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,4,3,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,4,3,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,4,5,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,4,5,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,4,5,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,4,5,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,4,5,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,4,5,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,4,7,1,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,4,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,4,7,3,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,4,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,4,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,4,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,5,1,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,5,1,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,5,1,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,5,1,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,5,1,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,5,1,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,5,3,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,5,3,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,5,3,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,5,3,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,5,3,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,5,3,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,5,4,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,5,4,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,5,4,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,2,5,4,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,2,5,4,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,5,4,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,2,5,7,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,5,7,1,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,5,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,5,7,3,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,5,7,4,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,5,7,4,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,2,7,1,3,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,1,3,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,1,4,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,1,4,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,1,5,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,1,5,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,3,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,3,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,3,4,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,3,4,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,3,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,3,5,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,4,1,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,4,1,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,4,3,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,4,3,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,4,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,4,5,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,5,1,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,5,1,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,5,3,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,5,3,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,5,4,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,2,7,5,4,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,1,2,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,1,2,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,1,2,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,1,2,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,1,2,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,1,2,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,1,4,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,1,4,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,1,4,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,1,4,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,1,4,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,1,4,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,1,5,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,1,5,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,1,5,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,1,5,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,1,5,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,1,5,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,1,7,2,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,1,7,2,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,1,7,4,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,1,7,4,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,1,7,5,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,1,7,5,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,2,1,4,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,2,1,4,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,2,1,5,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,2,1,5,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,2,1,7,4,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,2,1,7,5,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,2,4,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,2,4,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,2,4,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,2,4,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,2,4,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,2,4,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,2,5,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,2,5,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,2,5,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,2,5,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,2,5,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,2,5,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,2,7,1,4,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,2,7,1,5,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,2,7,4,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,2,7,4,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,2,7,5,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,2,7,5,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,4,1,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,4,1,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,4,1,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,4,1,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,4,1,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,4,1,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,4,2,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,4,2,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,4,2,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,4,2,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,4,2,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,4,2,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,4,5,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,4,5,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,4,5,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,4,5,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,4,5,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,4,5,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,4,7,1,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,4,7,1,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,4,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,4,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,4,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,4,7,5,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,5,1,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,5,1,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,5,1,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,5,1,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,5,1,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,5,1,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,5,2,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,5,2,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,5,2,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,5,2,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,5,2,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,5,2,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,5,4,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,5,4,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,5,4,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,3,5,4,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,3,5,4,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,5,4,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,3,5,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,5,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,5,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,5,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,5,7,4,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,5,7,4,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,3,7,1,2,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,1,2,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,1,4,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,1,4,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,1,5,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,1,5,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,2,1,4,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,2,1,5,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,2,4,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,2,4,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,2,5,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,2,5,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,4,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,4,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,4,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,4,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,4,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,4,5,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,5,1,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,5,1,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,5,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,5,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,5,4,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,3,7,5,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,1,2,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,1,2,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,1,2,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,1,2,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,1,2,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,1,2,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,1,3,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,1,3,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,1,3,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,1,3,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,1,3,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,1,3,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,1,5,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,1,5,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,1,5,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,1,5,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,1,5,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,1,5,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,1,7,2,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,1,7,2,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,1,7,3,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,1,7,3,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,1,7,5,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,1,7,5,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,2,1,3,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,2,1,3,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,2,1,5,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,2,1,5,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,2,1,7,3,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,2,1,7,5,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,2,3,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,2,3,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,2,3,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,2,3,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,2,3,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,2,3,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,2,5,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,2,5,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,2,5,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,2,5,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,2,5,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,2,5,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,2,7,1,3,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,2,7,1,5,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,2,7,3,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,2,7,3,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,2,7,5,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,2,7,5,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,3,1,2,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,3,1,2,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,3,1,5,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,3,1,5,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,3,1,7,2,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,3,1,7,5,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,3,2,1,5,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,3,2,1,7,5] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,3,2,5,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,3,2,5,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,3,2,7,1,5] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,3,2,7,5,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,3,5,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,3,5,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,3,5,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,3,5,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,3,5,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,3,5,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,3,7,1,2,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,3,7,1,5,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,3,7,2,1,5] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,3,7,2,5,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,3,7,5,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,3,7,5,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,5,1,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,5,1,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,5,1,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,5,1,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,5,1,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,5,1,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,5,2,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,5,2,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,5,2,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,5,2,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,5,2,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,5,2,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,5,3,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,5,3,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,5,3,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,4,5,3,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,4,5,3,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,5,3,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,4,5,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,5,7,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,5,7,2,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,5,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,5,7,3,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,5,7,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,4,7,1,2,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,1,2,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,1,3,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,1,3,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,1,5,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,1,5,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,2,1,3,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,2,1,5,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,2,3,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,2,3,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,2,5,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,2,5,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,3,1,2,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,3,1,5,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,3,2,1,5] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,3,2,5,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,3,5,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,3,5,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,5,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,5,1,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,5,2,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,5,2,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,5,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,4,7,5,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,1,2,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,1,2,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,1,2,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,1,2,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,1,2,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,1,2,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,1,3,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,1,3,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,1,3,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,1,3,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,1,3,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,1,3,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,1,4,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,1,4,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,1,4,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,1,4,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,1,4,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,1,4,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,1,7,2,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,1,7,2,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,1,7,3,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,1,7,3,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,1,7,4,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,1,7,4,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,2,1,3,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,2,1,3,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,2,1,4,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,2,1,4,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,2,1,7,3,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,2,1,7,4,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,2,3,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,2,3,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,2,3,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,2,3,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,2,3,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,2,3,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,2,4,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,2,4,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,2,4,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,2,4,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,2,4,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,2,4,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,2,7,1,3,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,2,7,1,4,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,2,7,3,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,2,7,3,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,2,7,4,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,2,7,4,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,3,1,2,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,3,1,2,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,3,1,4,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,3,1,4,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,3,1,7,2,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,3,1,7,4,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,3,2,1,4,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,3,2,1,7,4] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,3,2,4,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,3,2,4,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,3,2,7,1,4] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,3,2,7,4,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,3,4,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,3,4,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,3,4,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,3,4,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,3,4,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,3,4,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,3,7,1,2,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,3,7,1,4,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,3,7,2,1,4] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,3,7,2,4,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,3,7,4,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,3,7,4,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,4,1,2,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,4,1,2,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,4,1,3,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,4,1,3,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,4,1,7,2,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,4,1,7,3,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,4,2,1,3,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,4,2,1,7,3] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,4,2,3,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,4,2,3,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,4,2,7,1,3] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,4,2,7,3,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,4,3,1,2,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,4,3,1,7,2] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,4,3,2,1,7] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 1

[6,5,4,3,2,7,1] => [1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,7},{6}} => 1

[6,5,4,3,7,1,2] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,4,3,7,2,1] => [1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,7},{5},{6}} => 1

[6,5,4,7,1,2,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,4,7,1,3,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,4,7,2,1,3] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,4,7,2,3,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,4,7,3,1,2] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,4,7,3,2,1] => [1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => {{1},{2},{3,7},{4},{5},{6}} => 1

[6,5,7,1,2,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,1,2,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,1,3,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,1,3,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,1,4,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,1,4,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,2,1,3,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,2,1,4,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,2,3,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,2,3,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,2,4,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,2,4,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,3,1,2,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,3,1,4,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,3,2,1,4] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,3,2,4,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,3,4,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,3,4,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,4,1,2,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,4,1,3,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,4,2,1,3] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,4,2,3,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,4,3,1,2] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,5,7,4,3,2,1] => [1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,2,3,4,5,6] => {{1},{2,7},{3},{4},{5},{6}} => 1

[6,7,1,2,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,2,3,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,2,4,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,2,4,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,2,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,2,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,3,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,3,2,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,3,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,3,4,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,3,5,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,3,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,4,2,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,4,2,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,4,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,4,3,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,4,5,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,4,5,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,5,2,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,5,2,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,5,3,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,5,3,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,5,4,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,1,5,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,1,3,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,1,3,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,1,4,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,1,4,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,1,5,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,1,5,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,3,1,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,3,1,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,3,4,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,3,4,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,3,5,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,3,5,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,4,1,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,4,1,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,4,3,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,4,3,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,4,5,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,4,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,5,1,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,5,1,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,5,3,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,5,3,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,5,4,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,2,5,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,1,2,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,1,2,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,1,4,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,1,4,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,1,5,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,1,5,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,2,1,4,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,2,1,5,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,2,4,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,2,4,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,2,5,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,2,5,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,4,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,4,1,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,4,2,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,4,2,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,4,5,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,4,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,5,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,5,1,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,5,2,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,5,2,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,5,4,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,3,5,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,1,2,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,1,2,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,1,3,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,1,3,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,1,5,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,1,5,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,2,1,3,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,2,1,5,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,2,3,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,2,3,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,2,5,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,2,5,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,3,1,2,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,3,1,5,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,3,2,1,5] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,3,2,5,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,3,5,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,3,5,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,5,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,5,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,5,2,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,5,2,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,5,3,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,4,5,3,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,1,2,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,1,2,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,1,3,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,1,3,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,1,4,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,1,4,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,2,1,3,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,2,1,4,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,2,3,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,2,3,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,2,4,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,2,4,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,3,1,2,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,3,1,4,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,3,2,1,4] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,3,2,4,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,3,4,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,3,4,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,4,1,2,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,4,1,3,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,4,2,1,3] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,4,2,3,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,4,3,1,2] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[6,7,5,4,3,2,1] => [1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [7,1,2,3,4,5,6] => {{1,7},{2},{3},{4},{5},{6}} => 2

[7,1,2,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,3,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,3,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,4,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,4,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,5,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,5,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,5,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,6,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,6,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,6,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,6,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,6,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,2,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,2,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,2,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,2,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,2,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,4,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,4,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,4,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,5,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,5,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,5,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,5,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,6,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,6,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,6,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,3,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,2,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,2,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,2,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,3,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,3,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,5,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,5,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,5,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,5,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,6,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,6,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,4,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,2,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,2,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,2,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,2,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,3,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,3,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,3,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,4,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,4,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,4,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,4,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,6,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,6,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,6,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,6,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,6,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,5,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,2,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,2,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,3,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,3,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,4,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,4,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,4,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,4,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,5,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,5,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,5,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,5,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,1,6,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,3,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,3,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,3,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,3,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,3,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,3,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,4,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,4,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,4,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,4,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,4,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,4,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,5,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,5,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,5,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,5,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,5,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,5,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,6,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,6,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,6,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,6,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,6,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,1,6,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,1,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,1,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,1,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,1,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,4,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,4,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,4,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,5,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,5,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,5,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,6,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,6,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,6,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,3,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,1,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,1,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,1,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,1,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,3,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,3,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,3,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,3,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,5,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,5,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,5,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,5,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,6,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,6,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,4,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,1,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,1,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,1,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,1,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,3,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,3,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,3,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,3,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,3,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,4,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,4,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,4,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,4,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,4,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,6,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,6,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,6,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,5,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,1,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,1,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,1,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,1,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,3,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,3,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,3,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,4,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,4,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,4,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,5,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,5,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,5,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,2,6,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,2,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,2,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,2,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,2,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,2,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,2,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,4,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,4,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,4,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,4,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,4,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,4,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,5,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,5,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,5,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,5,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,5,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,5,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,6,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,6,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,6,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,6,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,6,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,1,6,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,1,4,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,1,4,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,1,5,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,1,5,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,1,6,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,1,6,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,4,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,4,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,4,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,4,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,4,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,4,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,5,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,5,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,5,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,5,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,5,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,5,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,6,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,6,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,6,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,6,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,6,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,2,6,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,1,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,1,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,1,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,2,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,2,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,2,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,5,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,5,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,5,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,4,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,1,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,1,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,1,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,1,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,1,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,2,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,2,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,2,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,2,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,2,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,2,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,4,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,4,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,4,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,5,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,1,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,1,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,1,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,2,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,2,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,2,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,4,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,4,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,4,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,3,6,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,2,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,2,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,2,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,2,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,2,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,2,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,3,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,3,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,3,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,3,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,3,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,3,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,5,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,5,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,5,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,5,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,5,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,5,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,6,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,6,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,6,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,6,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,6,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,1,6,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,1,3,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,1,3,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,1,5,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,1,5,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,1,6,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,1,6,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,3,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,3,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,3,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,3,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,3,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,3,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,5,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,5,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,5,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,5,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,5,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,5,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,6,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,6,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,6,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,6,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,6,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,2,6,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,1,2,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,1,2,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,1,5,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,1,5,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,1,6,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,1,6,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,2,1,5,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,2,1,6,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,2,5,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,2,5,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,2,6,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,2,6,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,5,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,5,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,5,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,5,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,5,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,5,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,6,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,6,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,6,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,6,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,6,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,3,6,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,1,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,1,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,1,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,2,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,2,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,2,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,2,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,2,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,2,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,3,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,3,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,3,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,3,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,6,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,5,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,1,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,5,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,4,6,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,2,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,2,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,2,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,2,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,2,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,2,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,3,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,3,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,3,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,3,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,3,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,3,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,4,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,4,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,4,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,4,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,4,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,4,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,6,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,6,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,6,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,6,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,6,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,1,6,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,1,3,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,1,3,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,1,4,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,1,4,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,1,6,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,1,6,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,3,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,3,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,3,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,3,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,3,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,3,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,4,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,4,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,4,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,4,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,4,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,4,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,6,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,6,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,6,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,6,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,6,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,2,6,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,1,2,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,1,2,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,1,4,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,1,4,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,1,6,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,1,6,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,2,1,4,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,2,1,6,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,2,4,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,2,4,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,2,6,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,2,6,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,4,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,4,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,4,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,4,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,4,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,4,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,6,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,6,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,6,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,6,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,6,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,3,6,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,1,2,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,1,2,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,1,3,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,1,3,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,1,6,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,1,6,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,2,1,3,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,2,1,6,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,2,3,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,2,3,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,2,6,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,2,6,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,3,1,2,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,3,1,6,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,3,2,6,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,3,6,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,3,6,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,6,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,6,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,6,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,6,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,6,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,4,6,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,1,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,1,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,2,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,2,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,3,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,3,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,3,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,4,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,5,6,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,2,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,2,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,2,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,2,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,2,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,2,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,3,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,3,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,3,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,3,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,3,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,3,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,4,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,4,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,4,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,4,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,4,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,4,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,5,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,5,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,5,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,5,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,5,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,1,5,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,1,3,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,1,3,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,1,4,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,1,4,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,1,5,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,1,5,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,3,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,3,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,3,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,3,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,3,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,3,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,4,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,4,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,4,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,4,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,4,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,4,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,5,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,5,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,5,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,5,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,5,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,2,5,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,1,2,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,1,2,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,1,4,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,1,4,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,1,5,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,1,5,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,2,1,4,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,2,1,5,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,2,4,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,2,4,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,2,5,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,2,5,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,4,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,4,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,4,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,4,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,4,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,4,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,5,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,5,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,5,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,5,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,3,5,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,1,2,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,1,2,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,1,3,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,1,3,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,1,5,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,1,5,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,2,1,3,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,2,1,5,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,2,3,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,2,3,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,2,5,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,2,5,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,3,1,2,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,3,1,5,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,3,2,5,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,3,5,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,3,5,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,5,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,5,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,5,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,5,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,5,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,4,5,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,1,2,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,1,2,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,1,3,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,1,3,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,1,4,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,1,4,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,2,1,3,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,2,1,4,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,2,3,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,2,3,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,2,4,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,3,1,2,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,3,1,4,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,3,2,4,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,3,4,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,3,4,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 1

[4,5,6,7,8,3,2,1] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,8,1,2,3,4] => {{1,5},{2,6},{3,7},{4,8}} => 5

[4,5,6,7,8,2,3,1] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,8,1,2,3,4] => {{1,5},{2,6},{3,7},{4,8}} => 5

[4,5,6,7,8,3,1,2] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,8,1,2,3,4] => {{1,5},{2,6},{3,7},{4,8}} => 5

[4,5,6,7,8,2,1,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,8,1,2,3,4] => {{1,5},{2,6},{3,7},{4,8}} => 5

[4,5,6,7,8,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,8,1,2,3,4] => {{1,5},{2,6},{3,7},{4,8}} => 5

[3,4,2,1,5,6,7,8] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,2,5,6,7,8,3] => {{1,4,5,6,7,8},{2},{3}} => 2

[3,2,4,1,5,6,7,8] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,4,2,5,6,7,8,3] => {{1},{2,4,5,6,7,8},{3}} => 1

[2,3,4,1,5,6,7,8] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 3

[3,4,1,2,5,6,7,8] => [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [4,1,2,5,6,7,8,3] => {{1,4,5,6,7,8},{2},{3}} => 2

[3,2,1,4,5,6,7,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => 1

[2,3,1,4,5,6,7,8] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [3,1,4,5,6,7,8,2] => {{1,3,4,5,6,7,8},{2}} => 2

[3,1,2,4,5,6,7,8] => [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => 1

[2,1,3,4,5,6,7,8] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,3,4,5,6,7,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 8

[3,5,6,7,4,8,2,1] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [4,6,7,1,8,2,3,5] => {{1,4},{2,6},{3,7},{5,8}} => 4

[2,5,6,4,7,8,3,1] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [3,6,1,7,8,2,4,5] => {{1,3},{2,6},{4,7},{5,8}} => 3

[3,4,6,7,5,2,8,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [4,5,7,1,2,8,3,6] => {{1,4},{2,5},{3,7},{6,8}} => 4

[2,4,6,5,7,3,8,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,1,7,2,8,4,6] => {{1,3},{2,5},{4,7},{6,8}} => 3

[2,3,6,5,4,7,8,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,2,7,8,5,6] => {{1,3},{2,4},{5,7},{6,8}} => 3

[1,5,4,6,7,8,3,2] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,1,6,7,8,3,4,5] => {{1,2},{3,6},{4,7},{5,8}} => 2

[1,4,3,6,7,5,8,2] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,1,5,7,3,8,4,6] => {{1,2},{3,5},{4,7},{6,8}} => 2

[1,3,2,6,5,7,8,4] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,4,3,7,8,5,6] => {{1,2},{3,4},{5,7},{6,8}} => 2

[1,2,3,5,6,7,8,4] => [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,6,8},{5,7}} => 7

[1,2,3,4,6,7,8,5] => [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 7

[1,2,3,4,5,7,8,6] => [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,5,6,8,1,7] => {{1,2,3,4,5,6,8},{7}} => 7

[1,2,3,5,6,4,8,7] => [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [2,3,4,6,1,7,5,8] => {{1,2,3,4,6,7},{5},{8}} => 5

[1,2,3,4,5,6,8,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 7

[1,4,3,5,7,6,2,8] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,1,5,6,3,4,8,7] => {{1,2},{3,5},{4,6},{7,8}} => 2

[1,2,3,4,6,7,5,8] => [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,4,5,7,1,8,6] => {{1,2,3,4,5,7,8},{6}} => 6

[2,3,5,4,1,7,6,8] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,4,1,2,6,5,8,7] => {{1,3},{2,4},{5,6},{7,8}} => 3

[1,3,2,5,4,7,6,8] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,8,7] => {{1,2},{3,4},{5,6},{7,8}} => 2

[1,2,3,4,5,7,6,8] => [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 6

[1,3,4,5,6,2,7,8] => [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,4,5,6,1,7,8,3] => {{1,2,4,6,7,8},{3,5}} => 5

[1,2,4,5,3,6,7,8] => [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,5,1,6,7,8,4] => {{1,2,3,5,6,7,8},{4}} => 4

[1,3,4,2,5,6,7,8] => [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,4,1,5,6,7,8,3] => {{1,2,4,5,6,7,8},{3}} => 3

[1,3,2,4,5,6,7,8] => [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => 2

[2,3,6,4,5,7,8,1] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,2,7,8,5,6] => {{1,3},{2,4},{5,7},{6,8}} => 3

[2,4,6,1,7,3,8,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,1,7,2,8,4,6] => {{1,3},{2,5},{4,7},{6,8}} => 3

[2,4,5,1,7,3,6,8] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,5,1,6,2,4,8,7] => {{1,3},{2,5},{4,6},{7,8}} => 3

[2,5,6,1,7,8,3,4] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [3,6,1,7,8,2,4,5] => {{1,3},{2,6},{4,7},{5,8}} => 3

[2,3,5,1,4,7,6,8] => [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0] => [3,4,1,2,6,5,8,7] => {{1,3},{2,4},{5,6},{7,8}} => 3

[2,3,6,1,4,7,8,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,2,7,8,5,6] => {{1,3},{2,4},{5,7},{6,8}} => 3

[3,4,6,7,1,2,8,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [4,5,7,1,2,8,3,6] => {{1,4},{2,5},{3,7},{6,8}} => 4

[3,4,5,7,1,2,6,8] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,6,1,2,3,8,7] => {{1,4},{2,5},{3,6},{7,8}} => 4

[3,1,4,2,5,6,7,8] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] => [1,4,2,5,6,7,8,3] => {{1},{2,4,5,6,7,8},{3}} => 1

[3,5,6,7,1,8,2,4] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [4,6,7,1,8,2,3,5] => {{1,4},{2,6},{3,7},{5,8}} => 4

[1,3,2,6,4,7,8,5] => [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,1,4,3,7,8,5,6] => {{1,2},{3,4},{5,7},{6,8}} => 2

[1,4,2,5,7,3,6,8] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,1,5,6,3,4,8,7] => {{1,2},{3,5},{4,6},{7,8}} => 2

[2,3,6,5,1,7,8,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,2,7,8,5,6] => {{1,3},{2,4},{5,7},{6,8}} => 3

[1,4,3,6,7,2,8,5] => [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [2,1,5,7,3,8,4,6] => {{1,2},{3,5},{4,7},{6,8}} => 2

[1,5,3,6,7,8,2,4] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,1,6,7,8,3,4,5] => {{1,2},{3,6},{4,7},{5,8}} => 2

[1,5,2,6,7,8,4,3] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,1,6,7,8,3,4,5] => {{1,2},{3,6},{4,7},{5,8}} => 2

[2,4,6,3,7,5,8,1] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,1,7,2,8,4,6] => {{1,3},{2,5},{4,7},{6,8}} => 3

[2,4,6,1,7,5,8,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,1,7,2,8,4,6] => {{1,3},{2,5},{4,7},{6,8}} => 3

[1,2,3,4,5,6,7,9,8] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,7,8,1,9] => {{1,2,3,4,5,6,7,8},{9}} => 8

[2,1,3,4,5,6,7,8,9] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,8,9,2] => {{1},{2,3,4,5,6,7,8,9}} => 1

[1,2,3,4,5,6,7,8,10,9] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,6,7,8,9,1,10] => {{1,2,3,4,5,6,7,8,9},{10}} => 9

[2,1,3,4,5,6,7,8,9,10] => [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,8,9,10,2] => {{1},{2,3,4,5,6,7,8,9,10}} => 1

[4,5,6,7,8,1,3,2] => [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [5,6,7,8,1,2,3,4] => {{1,5},{2,6},{3,7},{4,8}} => 5

[2,4,6,3,7,1,8,5] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,1,7,2,8,4,6] => {{1,3},{2,5},{4,7},{6,8}} => 3

[1,3,2,5,4,7,6,9,8,10] => [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5,8,7,10,9] => {{1,2},{3,4},{5,6},{7,8},{9,10}} => 2

[2,5,6,3,7,8,4,1] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [3,6,1,7,8,2,4,5] => {{1,3},{2,6},{4,7},{5,8}} => 3

[3,5,6,7,2,8,4,1] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [4,6,7,1,8,2,3,5] => {{1,4},{2,6},{3,7},{5,8}} => 4

[1,5,3,6,7,8,4,2] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,1,6,7,8,3,4,5] => {{1,2},{3,6},{4,7},{5,8}} => 2

[2,5,6,1,7,8,4,3] => [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0] => [3,6,1,7,8,2,4,5] => {{1,3},{2,6},{4,7},{5,8}} => 3

[2,3,6,4,1,7,8,5] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,2,7,8,5,6] => {{1,3},{2,4},{5,7},{6,8}} => 3

[1,5,4,6,7,8,2,3] => [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [2,1,6,7,8,3,4,5] => {{1,2},{3,6},{4,7},{5,8}} => 2

[2,3,6,1,5,7,8,4] => [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0] => [3,4,1,2,7,8,5,6] => {{1,3},{2,4},{5,7},{6,8}} => 3

[3,4,6,7,2,5,8,1] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [4,5,7,1,2,8,3,6] => {{1,4},{2,5},{3,7},{6,8}} => 4

[2,4,5,1,7,6,3,8] => [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0] => [3,5,1,6,2,4,8,7] => {{1,3},{2,5},{4,6},{7,8}} => 3

[1,4,2,5,7,6,3,8] => [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,1,5,6,3,4,8,7] => {{1,2},{3,5},{4,6},{7,8}} => 2

[3,4,6,7,1,5,8,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [4,5,7,1,2,8,3,6] => {{1,4},{2,5},{3,7},{6,8}} => 4

[2,4,6,5,7,1,8,3] => [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [3,5,1,7,2,8,4,6] => {{1,3},{2,5},{4,7},{6,8}} => 3

[3,4,5,7,2,1,6,8] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0] => [4,5,6,1,2,3,8,7] => {{1,4},{2,5},{3,6},{7,8}} => 4

[3,5,6,7,1,8,4,2] => [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [4,6,7,1,8,2,3,5] => {{1,4},{2,6},{3,7},{5,8}} => 4

[3,4,6,7,5,1,8,2] => [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0] => [4,5,7,1,2,8,3,6] => {{1,4},{2,5},{3,7},{6,8}} => 4

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$F_{1} = q$

$F_{2} = q + q^{2}$

$F_{3} = 3\ q + 2\ q^{2} + q^{3}$

$F_{4} = 12\ q + 8\ q^{2} + 3\ q^{3} + q^{4}$

$F_{5} = 60\ q + 40\ q^{2} + 15\ q^{3} + 4\ q^{4} + q^{5}$

$F_{6} = 360\ q + 240\ q^{2} + 90\ q^{3} + 24\ q^{4} + 5\ q^{5} + q^{6}$

$F_{7} = 2520\ q + 1680\ q^{2} + 630\ q^{3} + 168\ q^{4} + 35\ q^{5} + 6\ q^{6} + q^{7}$

Description

The smallest closer of a set partition.
A closer (or right hand endpoint) of a set partition is a number that is maximal in its block. For this statistic, singletons are considered as closers.
In other words, this is the smallest among the maximal elements of the blocks.

Map

to 321-avoiding permutation (Billey-Jockusch-Stanley)

Description

The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.

Map

left-to-right-maxima to Dyck path

Description

The left-to-right maxima of a permutation as a Dyck path.
Let

$(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are

$c_1, c_1+c_2, \dots, c_1+\dots+c_k$ .
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.

Map

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

$i\leq\pi(i)$ .