Identifier
-
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00204: Permutations —LLPS⟶ Integer partitions
Mp00043: Integer partitions —to Dyck path⟶ Dyck paths
St001232: Dyck paths ⟶ ℤ
Values
[1] => [1] => [1] => [1,0,1,0] => 1
[1,2] => [1,2] => [1,1] => [1,0,1,1,0,0] => 2
[2,1] => [1,2] => [1,1] => [1,0,1,1,0,0] => 2
[1,2,3] => [1,2,3] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[2,3,1] => [1,2,3] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[3,1,2] => [1,2,3] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[3,2,1] => [1,2,3] => [1,1,1] => [1,0,1,1,1,0,0,0] => 3
[1,2,3,4] => [1,2,3,4] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[2,3,4,1] => [1,2,3,4] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[3,4,1,2] => [1,2,3,4] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[3,4,2,1] => [1,2,3,4] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[4,1,2,3] => [1,2,3,4] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[4,2,3,1] => [1,2,3,4] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[4,3,1,2] => [1,2,3,4] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[4,3,2,1] => [1,2,3,4] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 4
[1,2,3,4,5] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,5,2,4,3] => [1,5,2,4,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[1,5,3,2,4] => [1,5,2,4,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[2,3,4,5,1] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[2,4,1,5,3] => [1,5,2,4,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[2,4,3,1,5] => [1,5,2,4,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[3,1,5,2,4] => [1,5,2,4,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[3,2,4,1,5] => [1,5,2,4,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => 3
[3,4,5,1,2] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[3,4,5,2,1] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[4,5,1,2,3] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[4,5,2,3,1] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[4,5,3,1,2] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[4,5,3,2,1] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[5,1,2,3,4] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[5,2,3,4,1] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[5,3,4,1,2] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[5,3,4,2,1] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[5,4,1,2,3] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[5,4,2,3,1] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[5,4,3,1,2] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[5,4,3,2,1] => [1,2,3,4,5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => 5
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,2,6,3,5,4] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,2,6,4,3,5] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,3,6,2,5,4] => [1,3,6,2,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,3,6,4,2,5] => [1,3,6,2,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,4,6,2,5,3] => [1,4,6,2,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,4,6,3,2,5] => [1,4,6,2,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,5,2,4,3,6] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,5,2,4,6,3] => [1,5,2,4,6,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,5,3,2,4,6] => [1,5,2,4,6,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,5,3,6,2,4] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,5,6,2,4,3] => [1,5,6,2,4,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,5,6,3,2,4] => [1,5,6,2,4,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,2,3,5,4] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,2,4,3,5] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,2,4,5,3] => [1,6,2,4,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,2,5,3,4] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,2,5,4,3] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,3,2,4,5] => [1,6,2,4,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,3,2,5,4] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,3,4,2,5] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,3,5,2,4] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,3,5,4,2] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,4,2,3,5] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,4,2,5,3] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,4,3,2,5] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,4,3,5,2] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,5,2,4,3] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,6,5,3,2,4] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,1,6,3,5,4] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,1,6,4,3,5] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[2,3,5,1,6,4] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,3,5,4,1,6] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,1,5,3,6] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,1,5,6,3] => [1,5,6,2,4,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,1,6,3,5] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,1,6,5,3] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,3,1,5,6] => [1,5,6,2,4,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,3,1,6,5] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,3,5,1,6] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,3,6,1,5] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,5,1,6,3] => [1,6,2,4,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,5,3,1,6] => [1,6,2,4,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,6,1,5,3] => [1,5,2,4,6,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,4,6,3,1,5] => [1,5,2,4,6,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,1,3,6,4] => [1,3,6,2,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,1,4,6,3] => [1,4,6,2,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,1,6,3,4] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,1,6,4,3] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,3,1,4,6] => [1,4,6,2,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,3,1,6,4] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,3,4,1,6] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,4,1,3,6] => [1,3,6,2,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,4,1,6,3] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,5,4,3,1,6] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,6,3,5,4,1] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[2,6,4,3,5,1] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,1,4,6,2,5] => [1,4,6,2,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,1,5,2,4,6] => [1,5,2,4,6,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,1,5,6,2,4] => [1,5,6,2,4,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,1,6,2,4,5] => [1,6,2,4,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,1,6,2,5,4] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,1,6,4,2,5] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
>>> Load all 3307 entries. <<<[3,1,6,5,2,4] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,2,4,1,5,6] => [1,5,6,2,4,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,2,4,1,6,5] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,2,4,5,1,6] => [1,6,2,4,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,2,4,6,1,5] => [1,5,2,4,6,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,2,5,1,4,6] => [1,4,6,2,5,3] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,2,5,1,6,4] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,2,5,4,1,6] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,4,1,6,2,5] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,4,2,5,1,6] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,4,5,6,1,2] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[3,4,5,6,2,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[3,5,1,2,6,4] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,5,1,6,2,4] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,5,1,6,4,2] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,5,2,1,6,4] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,5,2,4,1,6] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,5,2,6,4,1] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,5,4,1,2,6] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,5,4,1,6,2] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,5,4,2,1,6] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,5,4,2,6,1] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,6,1,5,2,4] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[3,6,2,4,1,5] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,1,2,6,3,5] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,1,3,6,2,5] => [1,3,6,2,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,1,6,2,3,5] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,1,6,2,5,3] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,1,6,3,2,5] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,1,6,3,5,2] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,2,1,6,3,5] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,2,3,5,1,6] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,2,5,1,3,6] => [1,3,6,2,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,2,5,1,6,3] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,2,5,3,1,6] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,2,6,3,5,1] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,3,1,6,2,5] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,3,2,5,1,6] => [1,6,2,5,3,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,3,5,1,2,6] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,3,5,1,6,2] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,3,5,2,1,6] => [1,6,2,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,3,5,2,6,1] => [1,2,6,3,5,4] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[4,5,6,1,2,3] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[4,5,6,2,3,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[4,5,6,3,1,2] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[4,5,6,3,2,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[5,1,6,2,4,3] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[5,1,6,3,2,4] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[5,2,4,1,6,3] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[5,2,4,3,1,6] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[5,3,1,6,2,4] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[5,3,2,4,1,6] => [1,6,2,4,3,5] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[5,6,1,2,3,4] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[5,6,2,3,4,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[5,6,3,4,1,2] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[5,6,3,4,2,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[5,6,4,1,2,3] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[5,6,4,2,3,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[5,6,4,3,1,2] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[5,6,4,3,2,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,1,2,3,4,5] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,1,5,2,4,3] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[6,1,5,3,2,4] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[6,2,3,4,5,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,2,4,1,5,3] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[6,2,4,3,1,5] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[6,3,1,5,2,4] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[6,3,2,4,1,5] => [1,5,2,4,3,6] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 5
[6,3,4,5,1,2] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,3,4,5,2,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,4,5,1,2,3] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,4,5,2,3,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,4,5,3,1,2] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,4,5,3,2,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,5,1,2,3,4] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,5,2,3,4,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,5,3,4,1,2] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,5,3,4,2,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,5,4,1,2,3] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,5,4,2,3,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,5,4,3,1,2] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,1,1,1,1,1] => [1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 6
[1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,3,7,5,4,6] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,4,7,3,6,5] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,4,7,5,3,6] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,5,7,3,6,4] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,5,7,4,3,6] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,6,3,5,4,7] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,6,3,5,7,4] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,6,4,3,5,7] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,6,4,7,3,5] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,6,7,3,5,4] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,6,7,4,3,5] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,3,5,4,6] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,3,5,6,4] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,3,6,5,4] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,4,3,5,6] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,4,3,6,5] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,4,5,3,6] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,4,6,3,5] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,4,6,5,3] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,5,3,4,6] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,5,3,6,4] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,5,4,3,6] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,5,4,6,3] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,6,3,5,4] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,2,7,6,4,3,5] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,4,7,2,6,5] => [1,3,4,7,2,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,4,7,5,2,6] => [1,3,4,7,2,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,5,7,2,6,4] => [1,3,5,7,2,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,5,7,4,2,6] => [1,3,5,7,2,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,6,2,5,4,7] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,6,2,5,7,4] => [1,3,6,2,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,6,4,2,5,7] => [1,3,6,2,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,6,4,7,2,5] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,6,7,2,5,4] => [1,3,6,7,2,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,6,7,4,2,5] => [1,3,6,7,2,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,2,4,6,5] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,2,5,4,6] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,2,5,6,4] => [1,3,7,2,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,2,6,4,5] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,2,6,5,4] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,4,2,5,6] => [1,3,7,2,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,4,2,6,5] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,4,5,2,6] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,4,6,2,5] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,4,6,5,2] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,5,2,4,6] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,5,2,6,4] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,5,4,2,6] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,5,4,6,2] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,6,2,5,4] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,3,7,6,4,2,5] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,5,7,2,6,3] => [1,4,5,7,2,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,5,7,3,2,6] => [1,4,5,7,2,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,6,2,5,3,7] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,6,2,5,7,3] => [1,4,6,2,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,6,3,2,5,7] => [1,4,6,2,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,6,3,7,2,5] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,6,7,2,5,3] => [1,4,6,7,2,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,6,7,3,2,5] => [1,4,6,7,2,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,2,3,6,5] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,2,5,3,6] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,2,5,6,3] => [1,4,7,2,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,2,6,3,5] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,2,6,5,3] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,3,2,5,6] => [1,4,7,2,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,3,2,6,5] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,3,5,2,6] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,3,6,2,5] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,3,6,5,2] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,5,2,3,6] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,5,2,6,3] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,5,3,2,6] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,5,3,6,2] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,6,2,5,3] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,4,7,6,3,2,5] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,2,4,3,6,7] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,2,4,6,3,7] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,2,4,6,7,3] => [1,5,2,4,6,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,2,4,7,3,6] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,2,4,7,6,3] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,3,2,4,6,7] => [1,5,2,4,6,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,3,2,4,7,6] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,3,6,2,4,7] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,3,6,7,2,4] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,3,7,2,4,6] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,6,2,4,3,7] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,6,2,4,7,3] => [1,5,6,2,4,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,6,3,2,4,7] => [1,5,6,2,4,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,6,3,7,2,4] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,6,7,2,4,3] => [1,5,6,7,2,4,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,6,7,3,2,4] => [1,5,6,7,2,4,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,2,3,6,4] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,2,4,3,6] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,2,4,6,3] => [1,5,7,2,4,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,2,6,3,4] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,2,6,4,3] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,3,2,4,6] => [1,5,7,2,4,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,3,2,6,4] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,3,4,2,6] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,3,6,2,4] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,3,6,4,2] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,4,2,3,6] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,4,2,6,3] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,4,3,2,6] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,4,3,6,2] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,6,2,4,3] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,5,7,6,3,2,4] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,3,5,4,7] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,3,5,7,4] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,4,3,5,7] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,4,5,3,7] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,4,5,7,3] => [1,6,2,4,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,4,7,3,5] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,4,7,5,3] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,5,3,4,7] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,5,4,7,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,5,7,3,4] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,2,5,7,4,3] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,2,4,5,7] => [1,6,2,4,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,2,4,7,5] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,2,5,4,7] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,2,5,7,4] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,4,2,5,7] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,4,7,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,5,2,4,7] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,5,4,7,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,5,7,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,5,7,4,2] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,3,7,2,4,5] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,4,2,3,5,7] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,4,2,5,7,3] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,4,3,2,5,7] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,4,3,5,7,2] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,4,7,2,3,5] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,4,7,2,5,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,4,7,3,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,4,7,3,5,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,5,2,4,7,3] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,5,3,2,4,7] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,5,7,2,4,3] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,5,7,3,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,2,3,5,4] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,2,4,3,5] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,2,4,5,3] => [1,6,7,2,4,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,2,5,3,4] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,2,5,4,3] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,3,2,4,5] => [1,6,7,2,4,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,3,2,5,4] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,3,4,2,5] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,3,5,2,4] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,3,5,4,2] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,4,2,3,5] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,4,2,5,3] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,4,3,2,5] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,4,3,5,2] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,5,2,4,3] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,6,7,5,3,2,4] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,3,4,6,5] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,3,5,4,6] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,3,5,6,4] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,3,6,4,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,3,6,5,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,4,3,5,6] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,4,5,3,6] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,4,5,6,3] => [1,7,2,4,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,4,6,3,5] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,4,6,5,3] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,5,3,4,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,5,4,6,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,5,6,3,4] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,5,6,4,3] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,6,3,4,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,6,3,5,4] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,7,2,6,4,3,5] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,7,2,6,4,5,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,6,5,3,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,2,6,5,4,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,2,4,5,6] => [1,7,2,4,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,2,4,6,5] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,2,5,4,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,2,5,6,4] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,2,6,4,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,2,6,5,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,4,2,5,6] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,4,2,6,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,4,5,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,4,6,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,4,6,5,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,5,2,4,6] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,5,2,6,4] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,7,3,5,4,2,6] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,7,3,5,4,6,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,5,6,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,5,6,4,2] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,6,2,4,5] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,6,4,5,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,3,6,5,4,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,2,3,5,6] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,2,3,6,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,2,5,6,3] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,2,6,3,5] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,7,4,2,6,5,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,3,2,5,6] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,3,2,6,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,3,5,2,6] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[1,7,4,3,5,6,2] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,3,6,5,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,5,2,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,5,2,6,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,5,3,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,5,3,6,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,6,2,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,6,2,5,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,6,3,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,6,3,5,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,6,5,2,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,4,6,5,3,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,2,3,4,6] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,2,3,6,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,2,4,6,3] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,2,6,3,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,2,6,4,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,3,2,4,6] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,3,2,6,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,3,4,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,3,4,6,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,3,6,4,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,4,2,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,4,2,6,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,4,3,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,4,3,6,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,4,6,2,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,4,6,3,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,6,2,4,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,5,6,3,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,2,3,5,4] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,2,4,3,5] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,2,4,5,3] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,2,5,3,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,2,5,4,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,3,2,4,5] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,3,2,5,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,3,4,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,3,5,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,3,5,4,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,4,2,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,4,2,5,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,4,3,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,4,3,5,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,5,2,4,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,7,6,5,3,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,3,7,4,6,5] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,3,7,5,4,6] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,4,7,3,6,5] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,4,7,5,3,6] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,5,7,3,6,4] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,5,7,4,3,6] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,6,3,5,4,7] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,6,3,5,7,4] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,6,4,3,5,7] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,6,4,7,3,5] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,6,7,3,5,4] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,6,7,4,3,5] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,3,4,6,5] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,3,5,4,6] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,3,5,6,4] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,3,6,4,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,3,6,5,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,4,3,5,6] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,4,3,6,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,4,5,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,4,6,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,4,6,5,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,5,3,4,6] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,5,3,6,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,5,4,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,5,4,6,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,6,3,5,4] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,1,7,6,4,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,1,7,4,6,5] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,1,7,5,4,6] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,4,6,1,7,5] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,4,6,5,1,7] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,1,6,4,7] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,1,6,7,4] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,1,7,4,6] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,1,7,6,4] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,4,1,6,7] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,4,1,7,6] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,4,6,1,7] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,4,7,1,6] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,6,1,7,4] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,6,4,1,7] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,7,1,6,4] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,5,7,4,1,6] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,1,4,7,5] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,1,5,7,4] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,1,7,4,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,1,7,5,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,4,1,5,7] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,4,1,7,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,4,5,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,5,1,4,7] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,5,1,7,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,6,5,4,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,5,3,6,7] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,5,6,3,7] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,5,6,7,3] => [1,5,6,7,2,4,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,5,7,3,6] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,5,7,6,3] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,6,3,5,7] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,6,5,7,3] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,6,7,3,5] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,6,7,5,3] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,7,3,5,6] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,7,5,6,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,7,6,3,5] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,1,7,6,5,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,1,5,6,7] => [1,5,6,7,2,4,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,1,5,7,6] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,1,6,5,7] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,1,6,7,5] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,1,7,5,6] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,1,7,6,5] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,5,1,6,7] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,5,1,7,6] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,5,6,1,7] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,5,7,1,6] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,6,1,5,7] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,6,7,1,5] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,3,7,1,5,6] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,1,6,3,7] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,1,6,7,3] => [1,6,7,2,4,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,1,7,3,6] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,1,7,6,3] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,3,1,6,7] => [1,6,7,2,4,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,3,1,7,6] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,3,6,1,7] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,3,7,1,6] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,6,1,7,3] => [1,7,2,4,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,6,3,1,7] => [1,7,2,4,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,7,1,6,3] => [1,6,2,4,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,5,7,3,1,6] => [1,6,2,4,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,1,5,3,7] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,1,5,7,3] => [1,5,7,2,4,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,1,7,3,5] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,1,7,5,3] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,3,1,5,7] => [1,5,7,2,4,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,3,1,7,5] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,3,5,1,7] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,3,7,1,5] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,5,1,7,3] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,5,3,1,7] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,7,1,5,3] => [1,5,2,4,6,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,6,7,3,1,5] => [1,5,2,4,6,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,1,5,3,6] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,1,5,6,3] => [1,5,6,2,4,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,1,6,3,5] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,1,6,5,3] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,3,1,5,6] => [1,5,6,2,4,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,3,1,6,5] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,3,5,1,6] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,3,6,1,5] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,5,1,6,3] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,5,3,1,6] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,6,1,5,3] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,4,7,6,3,1,5] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,4,6,7,3] => [1,4,6,7,2,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,4,7,3,6] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,4,7,6,3] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,6,3,4,7] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,6,4,7,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,6,7,3,4] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,6,7,4,3] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,7,3,4,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,7,4,6,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,7,6,3,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,1,7,6,4,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,1,4,6,7] => [1,4,6,7,2,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,1,4,7,6] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,1,6,4,7] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,1,6,7,4] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,1,7,4,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,1,7,6,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,4,1,6,7] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,4,1,7,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,4,6,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,4,7,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,6,1,4,7] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,1,6,7,3] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,1,7,6,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,3,1,6,7] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,3,1,7,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,6,1,7,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,6,3,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,7,1,6,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,4,7,3,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,1,4,7,3] => [1,4,7,2,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,1,7,3,4] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,1,7,4,3] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,3,1,4,7] => [1,4,7,2,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,3,1,7,4] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,3,4,1,7] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,4,1,7,3] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,6,4,3,1,7] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,1,6,3,4] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,1,6,4,3] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,3,1,6,4] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,3,4,1,6] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,4,1,6,3] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,4,3,1,6] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,4,7,3,5] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,4,7,5,3] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,5,7,3,4] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,5,7,4,3] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,7,3,4,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,7,3,5,4] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,6,1,7,4,3,5] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,6,1,7,4,5,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,7,5,3,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,1,7,5,4,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,1,4,7,5] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,1,5,7,4] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,1,7,4,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,1,7,5,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,4,1,5,7] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,4,1,7,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,4,5,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,5,1,4,7] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,5,1,7,4] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,6,3,5,4,1,7] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,1,5,7,3] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,1,7,3,5] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,6,4,1,7,5,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,3,1,5,7] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,3,1,7,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,3,5,1,7] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,5,1,7,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,5,3,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,1,4,7,3] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,1,7,3,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,1,7,4,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,3,1,4,7] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,3,1,7,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,3,4,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,4,1,7,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,5,4,3,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,2,7,4,6,5] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,2,7,5,4,6] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,4,5,7,2,6] => [1,4,5,7,2,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,4,6,2,5,7] => [1,4,6,2,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,4,6,7,2,5] => [1,4,6,7,2,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,4,7,2,5,6] => [1,4,7,2,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,4,7,2,6,5] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,4,7,5,2,6] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,4,7,6,2,5] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,5,2,4,6,7] => [1,5,2,4,6,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,5,2,4,7,6] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,5,6,2,4,7] => [1,5,6,2,4,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,5,6,7,2,4] => [1,5,6,7,2,4,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,5,7,2,4,6] => [1,5,7,2,4,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,5,7,2,6,4] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,5,7,4,2,6] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,5,7,6,2,4] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,2,4,5,7] => [1,6,2,4,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,2,4,7,5] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,2,5,4,7] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,2,5,7,4] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,4,2,5,7] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,4,7,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,5,2,4,7] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,5,7,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,7,2,4,5] => [1,6,7,2,4,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,7,2,5,4] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,7,4,2,5] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,6,7,5,2,4] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,2,4,5,6] => [1,7,2,4,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,2,4,6,5] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,2,5,4,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,2,5,6,4] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,2,6,4,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,2,6,5,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,4,2,5,6] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,4,2,6,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,4,5,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,4,6,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,4,6,5,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,5,2,4,6] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,5,2,6,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,5,4,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,5,4,6,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,5,6,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,6,2,4,5] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,6,2,5,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,6,4,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,1,7,6,5,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,1,7,4,6,5] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,1,7,5,4,6] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,1,5,6,7] => [1,5,6,7,2,4,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,1,5,7,6] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,1,6,5,7] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,1,6,7,5] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,1,7,5,6] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,1,7,6,5] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,5,1,6,7] => [1,6,7,2,4,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,5,1,7,6] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,5,6,1,7] => [1,7,2,4,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,5,7,1,6] => [1,6,2,4,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,6,1,5,7] => [1,5,7,2,4,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,6,1,7,5] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,6,5,1,7] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,6,7,1,5] => [1,5,2,4,6,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,7,1,5,6] => [1,5,6,2,4,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,7,1,6,5] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,7,5,1,6] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,4,7,6,1,5] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,1,4,6,7] => [1,4,6,7,2,5,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,1,4,7,6] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,1,6,4,7] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,1,6,7,4] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,1,7,4,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,1,7,6,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,4,1,6,7] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,4,1,7,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,4,6,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,4,7,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,6,1,4,7] => [1,4,7,2,5,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,6,1,7,4] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,6,4,1,7] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,7,1,4,6] => [1,4,6,2,5,7,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,7,1,6,4] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,5,7,4,1,6] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,1,4,5,7] => [1,4,5,7,2,6,3] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,1,4,7,5] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,1,5,7,4] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,1,7,4,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,1,7,5,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,4,1,5,7] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,4,1,7,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,4,5,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,5,1,4,7] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,5,1,7,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,6,5,4,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,7,4,6,5,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,2,7,5,4,6,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,1,5,7,2,6] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,1,6,2,5,7] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,1,6,7,2,5] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,1,7,2,5,6] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,1,7,2,6,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,1,7,5,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,1,7,6,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,2,5,1,6,7] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,2,5,1,7,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,2,5,6,1,7] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,2,5,7,1,6] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,2,6,1,5,7] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,2,6,1,7,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,2,6,5,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,5,1,7,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,5,2,6,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,1,2,7,5] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,1,7,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,1,7,5,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,2,1,7,5] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,2,5,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,2,7,5,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,5,1,2,7] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,5,1,7,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,5,2,1,7] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,6,5,2,7,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,7,1,6,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,4,7,2,5,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,2,6,4,7] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,2,6,7,4] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,2,7,4,6] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,2,7,6,4] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,4,7,2,6] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,6,2,4,7] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,6,4,7,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,6,7,2,4] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,6,7,4,2] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,7,2,4,6] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,7,2,6,4] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,5,1,7,4,2,6] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,5,1,7,4,6,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,7,6,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,1,7,6,4,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,1,6,4,7] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,1,6,7,4] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,1,7,4,6] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,1,7,6,4] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,4,1,6,7] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,4,1,7,6] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,4,6,1,7] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,4,7,1,6] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,6,1,4,7] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,6,1,7,4] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,5,2,6,4,1,7] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,5,2,6,4,7,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,6,7,4,1] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,7,4,6,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,2,7,6,4,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,1,2,6,7] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,1,2,7,6] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,1,6,7,2] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,1,7,2,6] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,5,4,1,7,6,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,2,1,6,7] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,2,1,7,6] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,2,6,1,7] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[3,5,4,2,6,7,1] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,2,7,6,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,6,1,2,7] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,6,1,7,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,6,2,1,7] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,6,2,7,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,7,1,2,6] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,7,1,6,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,7,2,1,6] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,4,7,2,6,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,1,2,7,4] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,1,7,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,1,7,4,2] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,2,1,7,4] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,2,4,1,7] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,2,7,4,1] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,4,1,2,7] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,4,1,7,2] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,4,2,1,7] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,6,4,2,7,1] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,1,2,6,4] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,1,6,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,1,6,4,2] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,2,1,6,4] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,2,4,1,6] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,2,6,4,1] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,4,1,2,6] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,4,1,6,2] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,4,2,1,6] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,5,7,4,2,6,1] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,2,4,7,5] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,2,5,7,4] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,2,7,4,5] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,2,7,5,4] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,4,7,2,5] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,4,7,5,2] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,5,2,4,7] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,5,7,2,4] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,5,7,4,2] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,7,2,4,5] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,7,4,5,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,1,7,5,4,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,1,4,7,5] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,1,5,7,4] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,1,7,4,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,1,7,5,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,4,1,5,7] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,4,5,1,7] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,4,7,1,5] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,4,7,5,1] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,5,1,4,7] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,5,7,4,1] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,7,4,5,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,2,7,5,4,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,1,2,5,7] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,1,2,7,5] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,1,5,7,2] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,1,7,5,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,2,1,5,7] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,2,1,7,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,2,5,7,1] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,2,7,5,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,5,1,2,7] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,5,1,7,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,5,2,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,4,5,2,7,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,1,2,4,7] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,1,2,7,4] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,1,4,7,2] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,1,7,4,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,2,1,4,7] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,2,1,7,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,2,4,7,1] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,2,7,4,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,4,1,2,7] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,4,1,7,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,4,2,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,5,4,2,7,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,7,1,5,2,4] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,6,7,2,4,1,5] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,1,4,6,2,5] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,1,5,2,4,6] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,1,5,6,2,4] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,1,6,2,4,5] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,2,4,1,5,6] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,2,4,5,1,6] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,2,4,6,1,5] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,2,5,1,4,6] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,4,6,5,1,2] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,4,6,5,2,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,5,4,6,1,2] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[3,7,5,4,6,2,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,2,5,7,3,6] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,2,6,3,5,7] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,2,6,7,3,5] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,2,7,3,5,6] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,2,7,3,6,5] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,2,7,5,3,6] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,2,7,6,3,5] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,3,5,7,2,6] => [1,3,5,7,2,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,3,6,2,5,7] => [1,3,6,2,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,3,6,7,2,5] => [1,3,6,7,2,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,3,7,2,5,6] => [1,3,7,2,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,3,7,2,6,5] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,3,7,5,2,6] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,3,7,6,2,5] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,5,7,2,3,6] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,5,7,2,6,3] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,5,7,3,2,6] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,5,7,3,6,2] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,6,2,3,5,7] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,6,2,5,7,3] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,6,3,2,5,7] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,6,3,5,7,2] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,6,7,2,3,5] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,6,7,2,5,3] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,6,7,3,2,5] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,6,7,3,5,2] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,2,3,5,6] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,2,3,6,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,2,5,6,3] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,2,6,3,5] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,1,7,2,6,5,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,3,2,5,6] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,3,2,6,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,3,5,2,6] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,1,7,3,5,6,2] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,3,6,5,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,5,2,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,5,2,6,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,5,3,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,5,3,6,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,6,2,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,6,2,5,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,6,3,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,1,7,6,3,5,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,1,5,7,3,6] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,1,6,3,5,7] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,1,6,7,3,5] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,1,7,3,5,6] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,1,7,3,6,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,1,7,5,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,1,7,6,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,3,5,1,6,7] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,3,5,1,7,6] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,3,5,6,1,7] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,3,5,7,1,6] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,3,6,1,5,7] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,3,6,1,7,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,3,6,5,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,1,3,6,7] => [1,3,6,7,2,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,1,3,7,6] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,1,6,7,3] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,1,7,6,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,3,1,6,7] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,3,1,7,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,6,1,3,7] => [1,3,7,2,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,6,1,7,3] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,6,3,1,7] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,7,1,3,6] => [1,3,6,2,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,7,1,6,3] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,7,3,1,6] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,5,7,3,6,1] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,1,3,5,7] => [1,3,5,7,2,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,1,3,7,5] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,1,5,7,3] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,1,7,3,5] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,2,6,1,7,5,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,3,1,5,7] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,3,1,7,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,3,5,1,7] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,2,6,3,5,7,1] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,5,1,3,7] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,5,1,7,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,5,3,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,6,7,3,5,1] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,7,3,5,6,1] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,7,3,6,5,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,7,5,3,6,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,2,7,6,3,5,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,1,5,7,2,6] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,1,6,2,5,7] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,1,6,7,2,5] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,1,7,2,5,6] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,1,7,2,6,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,1,7,5,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,1,7,6,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,2,5,1,6,7] => [1,6,7,2,5,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,2,5,1,7,6] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,2,5,6,1,7] => [1,7,2,5,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,2,5,7,1,6] => [1,6,2,5,7,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,2,6,1,5,7] => [1,5,7,2,6,3,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,2,6,1,7,5] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,2,6,5,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,1,2,6,7] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,1,2,7,6] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,1,6,7,2] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,1,7,2,6] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,3,5,1,7,6,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,2,1,6,7] => [1,6,7,2,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,2,1,7,6] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,2,6,1,7] => [1,7,2,6,3,5,4] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 4
[4,3,5,2,6,7,1] => [1,2,6,7,3,5,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,2,7,6,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,6,1,2,7] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,6,1,7,2] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,6,2,1,7] => [1,7,2,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,6,2,7,1] => [1,2,7,3,5,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,7,1,2,6] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,7,1,6,2] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,7,2,1,6] => [1,6,2,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,5,7,2,6,1] => [1,2,6,3,5,7,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,1,2,5,7] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,1,2,7,5] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,1,5,7,2] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,1,7,5,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,2,1,5,7] => [1,5,7,2,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,2,1,7,5] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,2,5,7,1] => [1,2,5,7,3,6,4] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,2,7,5,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,5,1,2,7] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,5,1,7,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,5,2,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,3,6,5,2,7,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,1,2,7,3,6] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,1,3,7,2,6] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,1,7,2,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,1,7,2,6,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,1,7,3,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,1,7,3,6,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,2,1,7,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,2,3,6,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,2,6,1,3,7] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,2,6,1,7,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,2,6,3,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,2,7,3,6,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,3,1,7,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,3,2,6,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,3,6,1,2,7] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,3,6,1,7,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,3,6,2,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,5,3,6,2,7,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,2,3,7,5] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,2,7,3,5] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,2,7,5,3] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,3,7,2,5] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,3,7,5,2] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,7,2,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,7,2,5,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,7,3,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,7,3,5,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,7,5,2,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,1,7,5,3,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,1,3,7,5] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,1,7,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,1,7,5,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,3,1,7,5] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,3,5,1,7] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,3,7,5,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,5,1,3,7] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,5,1,7,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,5,3,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,7,3,5,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,2,7,5,3,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,1,2,7,5] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,1,7,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,1,7,5,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,2,1,7,5] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,2,5,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,2,7,5,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,5,1,2,7] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,5,1,7,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,5,2,1,7] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,5,2,7,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,7,5,1,2] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,3,7,5,2,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,1,2,3,7] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,1,2,7,3] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,1,3,7,2] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,1,7,2,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,1,7,3,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,2,1,3,7] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,2,1,7,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,2,3,1,7] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,2,3,7,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,2,7,3,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,3,1,2,7] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,3,1,7,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,3,2,1,7] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,3,2,7,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,3,7,1,2] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,6,5,3,7,2,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,1,2,6,3,5] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,1,3,6,2,5] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,1,6,2,3,5] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,1,6,2,5,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,1,6,3,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,1,6,3,5,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,2,1,6,3,5] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,2,3,5,1,6] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,2,5,1,3,6] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,2,5,1,6,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,2,5,3,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,2,6,3,5,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,3,1,6,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,3,2,5,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,3,5,1,2,6] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,3,5,1,6,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,3,5,2,1,6] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[4,7,3,5,2,6,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,2,3,7,4,6] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,2,4,7,3,6] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,2,7,3,4,6] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,2,7,3,6,4] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,2,7,4,3,6] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,2,7,4,6,3] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,3,4,7,2,6] => [1,3,4,7,2,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,3,7,2,4,6] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,3,7,2,6,4] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,3,7,4,2,6] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,3,7,4,6,2] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,4,7,2,3,6] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,4,7,2,6,3] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,4,7,3,2,6] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,4,7,3,6,2] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,6,2,4,7,3] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,6,3,2,4,7] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,6,7,2,4,3] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,6,7,3,2,4] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,2,3,4,6] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,2,3,6,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,2,4,6,3] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,2,6,3,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,2,6,4,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,3,2,4,6] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,3,2,6,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,3,4,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,3,4,6,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,3,6,4,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,4,2,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,4,2,6,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,4,3,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,4,3,6,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,4,6,2,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,4,6,3,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,6,2,4,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,1,7,6,3,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,1,3,7,4,6] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,1,4,7,3,6] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,1,7,3,4,6] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,1,7,3,6,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,1,7,4,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,1,7,4,6,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,3,1,7,4,6] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,3,4,6,1,7] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,3,6,1,4,7] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,3,6,1,7,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,3,6,4,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,3,7,4,6,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,1,6,7,3] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,1,7,6,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,3,1,6,7] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,3,1,7,6] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,6,1,3,7] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,6,1,7,3] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,6,3,1,7] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,7,1,6,3] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,7,3,1,6] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,4,7,3,6,1] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,1,3,4,7] => [1,3,4,7,2,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,1,3,7,4] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,1,4,7,3] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,1,7,3,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,1,7,4,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,3,1,4,7] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,3,1,7,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,3,4,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,4,1,3,7] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,4,1,7,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,6,4,3,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,7,3,4,6,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,7,3,6,4,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,7,4,3,6,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,2,7,4,6,3,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,1,2,7,4,6] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,1,4,7,2,6] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,1,6,2,4,7] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,1,6,7,2,4] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,1,7,2,4,6] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,1,7,2,6,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,1,7,4,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,1,7,4,6,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,1,7,6,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,2,1,7,4,6] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,2,4,1,6,7] => [1,6,7,2,4,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,2,4,1,7,6] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,2,4,6,1,7] => [1,7,2,4,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,2,4,7,1,6] => [1,6,2,4,7,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,2,6,1,4,7] => [1,4,7,2,6,3,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,2,6,1,7,4] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,2,6,4,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,2,7,4,6,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,4,1,7,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,4,2,6,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,4,6,1,2,7] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,4,6,1,7,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,4,6,2,1,7] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,4,6,2,7,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,1,2,4,7] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,1,2,7,4] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,1,4,7,2] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,1,7,4,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,2,1,4,7] => [1,4,7,2,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,2,1,7,4] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,2,4,7,1] => [1,2,4,7,3,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,2,7,4,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,4,1,2,7] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,4,1,7,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,4,2,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,6,4,2,7,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,7,4,6,1,2] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,3,7,4,6,2,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,1,2,7,3,6] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,1,3,7,2,6] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,1,7,2,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,1,7,2,6,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,1,7,3,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,1,7,3,6,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,2,1,7,3,6] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,2,3,6,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,2,6,1,3,7] => [1,3,7,2,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,2,6,1,7,3] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,2,6,3,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,2,7,3,6,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,3,1,7,2,6] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,3,2,6,1,7] => [1,7,2,6,3,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,3,6,1,2,7] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,3,6,1,7,2] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,3,6,2,1,7] => [1,7,2,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,3,6,2,7,1] => [1,2,7,3,6,4,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,1,2,3,7] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,1,2,7,3] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,1,3,7,2] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,1,7,2,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,1,7,3,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,2,1,3,7] => [1,3,7,2,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,2,1,7,3] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,2,3,1,7] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,2,3,7,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,2,7,3,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,3,1,2,7] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,3,1,7,2] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,3,2,1,7] => [1,7,2,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,3,2,7,1] => [1,2,7,3,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,3,7,1,2] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,4,6,3,7,2,1] => [1,2,3,7,4,6,5] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,6,1,7,2,4,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,6,1,7,3,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,6,2,4,1,7,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,6,2,4,3,1,7] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,6,3,1,7,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,6,3,2,4,1,7] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,7,1,6,2,4,3] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,7,1,6,3,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,7,2,4,1,6,3] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,7,2,4,3,1,6] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,7,3,1,6,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[5,7,3,2,4,1,6] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,2,7,3,5,4] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,2,7,4,3,5] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,3,7,2,5,4] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,3,7,4,2,5] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,4,7,2,5,3] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,4,7,3,2,5] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,5,2,4,7,3] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,5,3,2,4,7] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,5,7,2,4,3] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,5,7,3,2,4] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,2,3,5,4] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,2,4,3,5] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,2,4,5,3] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,2,5,3,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,2,5,4,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,3,2,4,5] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,3,2,5,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,3,4,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,3,5,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,3,5,4,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,4,2,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,4,2,5,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,4,3,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,4,3,5,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,5,2,4,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,1,7,5,3,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,1,7,3,5,4] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,1,7,4,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,3,5,1,7,4] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,3,5,4,1,7] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,1,5,7,3] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,1,7,3,5] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,1,7,5,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,3,1,5,7] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,3,1,7,5] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,3,5,1,7] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,5,1,7,3] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,5,3,1,7] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,7,1,5,3] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,4,7,3,1,5] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,1,3,7,4] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,1,4,7,3] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,1,7,3,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,1,7,4,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,3,1,4,7] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,3,1,7,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,3,4,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,4,1,3,7] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,4,1,7,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,5,4,3,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,7,3,5,4,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,2,7,4,3,5,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,1,4,7,2,5] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,1,5,2,4,7] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,1,5,7,2,4] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,1,7,2,4,5] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,1,7,2,5,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,1,7,4,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,1,7,5,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,2,4,1,5,7] => [1,5,7,2,4,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,2,4,1,7,5] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,2,4,5,1,7] => [1,7,2,4,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,2,4,7,1,5] => [1,5,2,4,7,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,2,5,1,4,7] => [1,4,7,2,5,3,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,2,5,1,7,4] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,2,5,4,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,4,1,7,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,4,2,5,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,1,2,7,4] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,1,7,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,1,7,4,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,2,1,7,4] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,2,4,1,7] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,2,7,4,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,4,1,2,7] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,4,1,7,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,4,2,1,7] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,3,5,4,2,7,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,1,2,7,3,5] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,1,3,7,2,5] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,1,7,2,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,1,7,2,5,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,1,7,3,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,1,7,3,5,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,2,1,7,3,5] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,2,3,5,1,7] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,2,5,1,3,7] => [1,3,7,2,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,2,5,1,7,3] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,2,5,3,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,2,7,3,5,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,3,1,7,2,5] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,3,2,5,1,7] => [1,7,2,5,3,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,3,5,1,2,7] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,3,5,1,7,2] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,3,5,2,1,7] => [1,7,2,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,4,3,5,2,7,1] => [1,2,7,3,5,4,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,5,1,7,2,4,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,5,1,7,3,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,5,2,4,1,7,3] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,5,2,4,3,1,7] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,5,3,1,7,2,4] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,5,3,2,4,1,7] => [1,7,2,4,3,5,6] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,7,1,5,2,4,3] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,7,1,5,3,2,4] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,7,2,4,1,5,3] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,7,2,4,3,1,5] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,7,3,1,5,2,4] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,7,3,2,4,1,5] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,2,6,3,5,4] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,2,6,4,3,5] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,3,6,2,5,4] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,3,6,4,2,5] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,4,6,2,5,3] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,4,6,3,2,5] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,5,2,4,3,6] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,5,2,4,6,3] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,5,3,2,4,6] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,5,3,6,2,4] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,5,6,2,4,3] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,5,6,3,2,4] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,2,3,5,4] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,2,4,3,5] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,2,4,5,3] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,2,5,3,4] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,2,5,4,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,3,2,4,5] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,3,2,5,4] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,3,4,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,3,5,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,3,5,4,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,4,2,3,5] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,4,2,5,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,4,3,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,4,3,5,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,5,2,4,3] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,1,6,5,3,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,1,6,3,5,4] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,1,6,4,3,5] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,3,5,1,6,4] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,3,5,4,1,6] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,1,5,3,6] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,1,5,6,3] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,1,6,3,5] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,1,6,5,3] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,3,1,5,6] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,3,1,6,5] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,3,5,1,6] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,3,6,1,5] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,5,1,6,3] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,5,3,1,6] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,6,1,5,3] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,4,6,3,1,5] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,1,3,6,4] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,1,4,6,3] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,1,6,3,4] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,1,6,4,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,3,1,4,6] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,3,1,6,4] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,3,4,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,4,1,3,6] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,4,1,6,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,5,4,3,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,6,3,5,4,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,2,6,4,3,5,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,1,4,6,2,5] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,1,5,2,4,6] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,1,5,6,2,4] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,1,6,2,4,5] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,1,6,2,5,4] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,1,6,4,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,1,6,5,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,2,4,1,5,6] => [1,5,6,2,4,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,2,4,1,6,5] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,2,4,5,1,6] => [1,6,2,4,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,2,4,6,1,5] => [1,5,2,4,6,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,2,5,1,4,6] => [1,4,6,2,5,3,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,2,5,1,6,4] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,2,5,4,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,4,1,6,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,4,2,5,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,1,2,6,4] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,1,6,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,1,6,4,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,2,1,6,4] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,2,4,1,6] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,2,6,4,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,4,1,2,6] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,4,1,6,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,4,2,1,6] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,5,4,2,6,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,6,1,5,2,4] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,3,6,2,4,1,5] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,1,2,6,3,5] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,1,3,6,2,5] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,1,6,2,3,5] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,1,6,2,5,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,1,6,3,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,1,6,3,5,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,2,1,6,3,5] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,2,3,5,1,6] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,2,5,1,3,6] => [1,3,6,2,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,2,5,1,6,3] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,2,5,3,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,2,6,3,5,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,3,1,6,2,5] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,3,2,5,1,6] => [1,6,2,5,3,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,3,5,1,2,6] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,3,5,1,6,2] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,3,5,2,1,6] => [1,6,2,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,4,3,5,2,6,1] => [1,2,6,3,5,4,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,5,1,6,2,4,3] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,5,1,6,3,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,5,2,4,1,6,3] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,5,2,4,3,1,6] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,5,3,1,6,2,4] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,5,3,2,4,1,6] => [1,6,2,4,3,5,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,6,1,5,2,4,3] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,6,1,5,3,2,4] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,6,2,4,1,5,3] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,6,2,4,3,1,5] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,6,3,1,5,2,4] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[7,6,3,2,4,1,5] => [1,5,2,4,3,6,7] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => 7
[6,5,7,4,8,3,2,1] => [1,2,3,4,8,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,5,7,3,8,2,1] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,7,3,8,2,1] => [1,2,3,8,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,7,4,3,2,8,1] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,5,7,3,2,8,1] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,4,3,7,2,8,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,3,7,2,8,1] => [1,2,8,3,7,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,4,5,7,2,3,8,1] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,7,4,3,8,1,2] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,4,7,3,8,1,2] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,7,3,8,1,2] => [1,2,3,8,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,3,7,8,1,2] => [1,2,3,7,8,4,6,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,6,3,2,4,1,5] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,8,3,2,4,1,5] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,3,4,2,5,1,6] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,7,4,3,2,1,8] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,4,7,3,2,1,8] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,4,3,5,2,1,8] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,4,3,6,2,1,8] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,4,7,2,3,1,8] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,7,3,2,4,1,8] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,7,2,3,4,1,8] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,3,4,2,5,1,8] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,5,2,3,6,1,8] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,3,4,2,7,1,8] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,3,6,2,7,1,8] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,4,3,2,6,7,1,8] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,5,6,7,1,8] => [1,8,2,4,5,6,7,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,7,4,2,1,3,8] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,4,6,2,1,3,8] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,4,7,1,2,3,8] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,7,1,2,3,8] => [1,2,3,8,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,7,1,2,3,4,8] => [1,2,3,4,8,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,3,5,6,1,7,8] => [1,7,8,2,3,5,6,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,3,1,2,7,8] => [1,2,7,8,3,4,6,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,3,6,1,2,7,8] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,5,6,7,8] => [1,5,6,7,8,2,4,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,6,4,3,8,2,1] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,5,2,8,7,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,5,7,2,8,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,5,2,7,6,8,1] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,1,8,7,6,5] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,1,7,8,6,5] => [1,7,8,2,4,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,1,6,8,7,5] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,1,7,6,8,5] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,1,6,7,8,5] => [1,6,7,8,2,4,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,8,7,6,5] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,7,8,6,5] => [1,7,8,2,4,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,6,8,7,5] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,7,6,8,5] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,6,7,8,5] => [1,6,7,8,2,4,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,4,2,1,8,7,6] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,5,2,1,8,7,6] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,4,3,1,8,7,6] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,4,1,8,7,6] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,5,4,1,8,7,6] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,2,5,1,8,7,6] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,2,5,1,8,7,6] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,5,1,8,7,6] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,5,8,7,6] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,5,7,8,6] => [1,5,7,8,2,4,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,5,4,2,1,8,7] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,5,2,1,8,7] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,3,6,2,1,8,7] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,3,6,2,1,8,7] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,5,6,2,1,8,7] => [1,8,2,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,5,4,1,8,7] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,3,2,6,1,8,7] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,3,2,6,1,8,7] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,5,2,6,1,8,7] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,2,5,4,6,1,8,7] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,2,5,6,1,8,7] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,6,4,3,2,1,8] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,6,5,3,2,1,8] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,7,6,5,2,1,8] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,6,5,4,1,8] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,7,5,4,1,8] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,3,2,7,6,1,8] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,3,2,7,6,1,8] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,4,2,7,6,1,8] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,3,4,5,7,6,1,8] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,5,7,6,8] => [1,5,7,2,4,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,6,5,7,8] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,4,1,6,7,8] => [1,6,7,8,2,5,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,3,8,5,7,6,4] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,3,8,6,5,7,4] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,4,8,6,5,7,3] => [1,2,4,8,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,5,4,6,7,3] => [1,2,8,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,8,5,4,6,7,2] => [1,3,8,2,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,8,6,5,7,4,2] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,4,3,5,6,7,2] => [1,8,2,3,5,6,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,4,7,6,5,3,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,5,4,3,6,8,2] => [1,7,2,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,4,7,6,3,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,4,6,5,3,2] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,6,5,4,7,3,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,5,4,6,3,2] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,3,8,5,7,6,4] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,7,4,6,5,8,3] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,5,4,7,6,3] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,4,8,5,7,6,1] => [1,2,3,4,8,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,4,8,6,5,7,1] => [1,2,3,4,8,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,4,5,1,8,7] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,3,4,1,8,7,6] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,8,3,5,7,6,4,1] => [1,2,8,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,8,4,3,5,7,6,1] => [1,2,8,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,1,8,5,7,6,4] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,1,8,6,5,7,4] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,8,6,7,5] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,4,6,5,8,1] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,5,4,6,1,8] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,2,3,5,1,8,7,6] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,3,4,6,5,1,8] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,3,6,5,4,1,8] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,4,3,1,6,7,8] => [1,6,7,8,2,4,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,4,3,1,7,6,8] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,4,3,1,8,7,6] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,7,4,6,5,3,1] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,2,8,5,7,6,1] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,4,1,6,8,7] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,4,1,8,7,6] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,2,5,4,1,8,7] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,7,4,6,5,2,1] => [1,2,3,7,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,6,5,4,2,1,8] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,3,6,5,2,1,8] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,3,5,4,2,1,8] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,1,3,8,5,7] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,6,8,3,5,7] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,1,8,3,5,7] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,6,7,8,3,5] => [1,6,7,8,2,4,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,7,1,8,3,5] => [1,8,2,4,6,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,7,1,3,5,8,6] => [1,3,5,8,2,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,7,1,3,8,5,6] => [1,3,8,2,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,5,7,1,3,8,6] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,5,3,6,7,8] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,5,6,7,8,3] => [1,5,6,7,8,2,4,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,5,6,1,7,8,3] => [1,7,8,2,4,5,6,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,5,6,7,1,8,3] => [1,8,2,4,5,6,7,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,1,6,7,3,4,8] => [1,6,7,2,5,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,1,6,7,8,3,4] => [1,6,7,8,2,5,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,6,1,7,8,3,4] => [1,7,8,2,5,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,7,1,8,3,4,6] => [1,8,2,5,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,5,1,6,7,8,4] => [1,6,7,8,2,3,5,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,5,6,1,7,8,4] => [1,7,8,2,3,5,6,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,1,4,7,5,8] => [1,4,7,2,3,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,1,7,8,4,5] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,1,8,4,5,7] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,4,6,1,7,5,8] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,1,8,3,4,5,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,4,7,1,8,5,6] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,4,5,7,1,8,6] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,4,6,8,2,5,7] => [1,4,6,8,2,5,7,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,1,2,7,5,8] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,1,2,7,8,5] => [1,2,7,8,3,4,6,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,7,1,2,8,5] => [1,2,8,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,1,7,8,2,5] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,7,1,8,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,7,1,8,2,5,6] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,5,7,1,2,8,6] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,6,2,4,8,7] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,2,6,8,4,7] => [1,2,6,8,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,1,7,2,4,8] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,1,7,8,2,4] => [1,7,8,2,4,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,5,7,2,4,8,6] => [1,5,7,2,4,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,7,8,2,4,6] => [1,7,8,2,4,6,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,7,1,2,8,4,5] => [1,2,8,3,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,1,7,8,2,4,5] => [1,7,8,2,4,5,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,6,8,2,4,5,7] => [1,6,8,2,4,5,7,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,6,2,4,5,8,7] => [1,6,2,4,5,8,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,7,8,2,4,5,6] => [1,7,8,2,4,5,6,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,8,2,4,5,6,7] => [1,8,2,4,5,6,7,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,6,1,2,8,3,7] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,5,6,8,2,3,7] => [1,5,6,8,2,3,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,1,7,8,2,3,6] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,1,2,7,3,6,8] => [1,2,7,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,2,5,7,3,6,8] => [1,2,5,7,3,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,1,2,8,3,6,7] => [1,2,8,3,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,2,7,8,3,5] => [1,2,7,8,3,5,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,7,2,3,5,8] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,2,3,7,5,8] => [1,2,3,7,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,8,2,3,5,7] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,1,2,8,3,5,6] => [1,2,8,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,7,8,2,3,5,6] => [1,7,8,2,3,5,6,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,1,8,2,3,5,6] => [1,8,2,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,2,7,8,3,5,6] => [1,2,7,8,3,5,6,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,7,2,3,5,6,8] => [1,7,2,3,5,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,1,2,3,8,4,7] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,1,2,8,3,4,6] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,2,8,3,4,6,7] => [1,2,8,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,2,3,8,4,6,7] => [1,2,3,8,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,8,2,3,4,5,7] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,2,8,3,4,5,7] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,6,1,4,8,7] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,2,1,3,8,7] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,4,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,7,6,8,4,3,5] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,6,2,7,3,5,1] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,7,1,8,4,6] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,5,1,8,2,7,6,4] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,1,5,8,3,7,6,4] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,6,8,7,3,5,4] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,8,1,7,2,5,3] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,7,1,2,4,8] => [1,2,4,8,3,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,5,7,1,3,4,8] => [1,3,4,8,2,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,7,1,2,4,8] => [1,2,4,8,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,8,1,3,5,7] => [1,3,5,7,2,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,8,1,2,5,7] => [1,2,5,7,3,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,3,6,1,2,5,8] => [1,2,5,8,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,2,5,1,3,6,7] => [1,3,6,7,2,5,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,2,6,1,3,5,7] => [1,3,5,7,2,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,2,6,1,5,7,8] => [1,5,7,8,2,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,2,6,1,3,7,8] => [1,3,7,8,2,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,7,1,4,6,8] => [1,4,6,8,2,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,2,5,1,3,6,8] => [1,3,6,8,2,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,2,5,1,3,6,7] => [1,3,6,7,2,5,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,2,6,1,3,5,7] => [1,3,5,7,2,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,2,6,8,1,3,7] => [1,3,7,2,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,2,5,8,1,4,7] => [1,4,7,2,5,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,5,8,1,2,7] => [1,2,7,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,3,2,7,1,6,8] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,2,7,1,5,8] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,3,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,3,2,6,1,4,8] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,3,2,6,1,4,7] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,2,3,8,7,4,6] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,2,8,7,3,5,6] => [1,2,8,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,2,5,8,7,3,6] => [1,2,5,8,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,8,2,6,7,4,5] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,8,6,2,7,4,5] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,5,2,3,4,6] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,4,8,7,2,5,6] => [1,4,8,2,5,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,4,5,8,7,2,6] => [1,4,5,8,2,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,8,5,6,7,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,1,2,3,7,4,6] => [1,2,3,7,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,1,2,8,3,6,7] => [1,2,8,3,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,1,2,7,3,4,6] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,1,2,8,7,3,6] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,1,2,6,7,3,5] => [1,2,6,7,3,5,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,1,6,2,4,8,5] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,8,2,3,5,6] => [1,8,2,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,1,8,7,2,5,6] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,5,6,2,4,7] => [1,5,6,2,4,7,3,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,7,6,2,4,5] => [1,7,2,4,5,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,1,5,7,2,3,6] => [1,5,7,2,3,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,1,7,6,2,3,5] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,1,5,8,7,2,6] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,1,8,6,7,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,5,6,7,2,4] => [1,5,6,7,2,4,3,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,4,1,3,8,5,7] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,4,1,3,7,8,5] => [1,3,7,8,2,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,5,1,3,4,8,6] => [1,3,4,8,2,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,8,1,3,7,4,5] => [1,3,7,2,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,5,1,3,7,8,4] => [1,3,7,8,2,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,4,1,6,7,8,3] => [1,6,7,8,2,5,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,5,1,2,7,4,6] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,1,2,7,8,4] => [1,2,7,8,3,5,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,4,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,4,1,2,7,3,5] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,4,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,5,1,6,2,4,7] => [1,6,2,4,7,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,5,1,7,2,4,6] => [1,7,2,4,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,4,1,7,2,3,6] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,4,1,6,8,2,7] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,4,1,8,7,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,4,1,6,7,2,5] => [1,6,7,2,5,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,5,1,7,8,4] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,4,6,1,3,8,5] => [1,3,8,2,7,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,3,4,6,1,2,8,5] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,6,5,1,2,8,4] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,4,5,1,8,2,7] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,4,5,1,7,2,6] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,4,6,1,7,2,5] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,4,7,6,1,8,5] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,4,5,6,1,8,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,6,1,4,8,7] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,6,4,1,8,7] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,5,7,2,3,8,6,1] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,3,2,8,6,1] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,1,3,8,2,6] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,7,4,8,2,6] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,1,5,7,4,8,3,6] => [1,5,7,2,3,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,1,3,8,6,2] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,3,1,8,6,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,3,8,5,1,2] => [1,2,3,8,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,3,8,5,2,1] => [1,2,3,8,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,1,8,3,5,2] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,1,7,8,4,5,2] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,6,7,8,4,3,5] => [1,6,7,8,2,3,5,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,1,8,3,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,2,1,8,3,6] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,2,8,3,5,1] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,7,8,4,5,1] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,7,1,8,4,6] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,5,2,7,1,8,6,4] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,6,2,7,8,5,4,1] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,2,8,5,3,1] => [1,2,8,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,2,1,8,6,3] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,1,2,8,6,3] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,6,7,8,3,5,4] => [1,6,7,8,2,3,5,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,1,8,2,5,3] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,1,8,5,2,3] => [1,8,2,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,1,7,8,5,4,2] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,1,8,5,3,2] => [1,8,2,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,7,4,5,1,8,3] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,8,4,5,7,1,2] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,6,1,8,7,4] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,6,8,1,7,3] => [1,7,2,5,6,8,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,4,8,6,1,7,3] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,2,4,5,1,6,3] => [1,6,2,4,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,7,3,2,5,4,8] => [1,6,7,2,5,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,1,8,7,2,3,6] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,1,8,2,7,4,6] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,2,1,3,8,5,7,6] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,1,8,3,4,7,6] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,1,6,2,4,8,7] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,1,5,2,4,8,7] => [1,5,2,4,8,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,5,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,5,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,1,2,3,8,7] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,1,5,2,4,8,7] => [1,5,2,4,8,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,5,1,2,3,8,7] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,4,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,4,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,4,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,4,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,4,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,4,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,4,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,6,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,6,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,1,7,8,2,4,5] => [1,7,8,2,4,5,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,8,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,8,2,7,4,6] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,1,5,8,3,7,4,6] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,8,1,7,2,3,5] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,7,3,8,5,1,2] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,7,3,5,8,1,2] => [1,2,3,5,8,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,2,7,6,1,8,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,2,6,7,1,8,3] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,2,6,7,1,3,8] => [1,3,8,2,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,6,1,8,7,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,4,2,5,1,6,3] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,2,1,8,6,5,7] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,7,1,8,6,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,7,1,6,8,4] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,7,2,1,5,8,4] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,7,2,1,4,5,8] => [1,4,5,8,2,3,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,7,1,4,8,6] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,2,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,4,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,4,6,2,5,3] => [1,4,6,2,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,4,7,2,5,3] => [1,6,8,2,5,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,3,2,7,5,4] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,8,3,2,7,5,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,2,4,6,1,5,3] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,2,3,7,5,4] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,2,8,3,7,6,4] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,8,4,7,5,1,2] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,8,4,7,5,1,2] => [1,2,3,6,8,4,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,8,1,3,7,5,4] => [1,3,7,2,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,5,8,3,7,6,4] => [1,2,5,8,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,4,8,7,1,6,3] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,1,8,2,7,6,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,4,8,7,2,6,3] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,1,8,7,2,6,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,1,8,7,2,6,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,5,8,7,2,6,3] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,5,8,7,2,6,3] => [1,4,5,8,2,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,5,8,2,7,6,4] => [1,3,5,8,2,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,5,8,2,7,6,4] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,8,1,2,7,5,4] => [1,2,7,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,8,2,1,7,5,4] => [1,7,2,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,8,3,7,5,1,2] => [1,2,3,7,4,6,8,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,8,1,7,6,4] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,8,7,1,6,3] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,5,8,7,1,6,3] => [1,6,2,4,5,8,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,5,8,1,7,6,4] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,2,5,8,3,6,1] => [1,2,5,8,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,2,5,8,3,1,6] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,2,1,6,8,3,7] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,1,4,8,2,7] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,4,1,8,3,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,5,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,1,5,8,3,2,6] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,1,7,8,3,6,2] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,5,8,3,6,2] => [1,5,8,2,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,2,7,3,1,8,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,1,8,2,4,6] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,4,2,1,8,3,5] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,4,2,8,3,5,1] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,7,2,8,4,5,1] => [1,2,8,3,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,8,1,4,6,2,5] => [1,4,6,2,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,5,7,8,2,6,3] => [1,5,7,8,2,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,7,8,2,5,3] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,2,7,1,8,4,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,2,5,1,6,4,7] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,7,4,1,8,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,4,5,6,3,1,7] => [1,7,2,4,5,6,3,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,3,6,4,1,2,7] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,7,2,8,5,1] => [1,2,8,3,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,7,1,4,8,5,2] => [1,4,8,2,3,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,4,1,7,8,5,3] => [1,7,8,2,4,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,7,1,4,8,3,5] => [1,4,8,2,6,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,3,6,7,8,2,4] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,7,1,3,8,4,6] => [1,3,8,2,7,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,3,1,7,8,2,4,6] => [1,7,8,2,4,6,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,4,2,1,5,8,6] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,3,4,2,5,8,6] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,2,1,3,5,8,6] => [1,3,5,8,2,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,2,7,1,8,5,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,7,1,8,5,4] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,3,1,7,8,2,5,4] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,7,1,3,8,5,4] => [1,3,8,2,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,3,6,5,1,2,7] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,7,3,5,1,8] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,2,6,7,4,5,1,8] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,6,2,4,8,7,3] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,6,8,4,2,5,3] => [1,6,8,2,5,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,7,8,2,4,5,3] => [1,7,8,2,4,5,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,6,8,4,3,5,2] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,4,8,1,6,7] => [1,6,7,2,5,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,3,1,8,2,6,5] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,3,1,7,6,2,5] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,3,7,6,4,2] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,1,3,8,2,6,4] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,1,3,8,7,5] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,1,4,8,7,5] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,1,8,4,6,5] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,7,1,2,8,3,6,4] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,1,8,2,3,5,4] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,1,8,3,2,5,4] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,1,7,3,5,2,4] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,7,3,5,4,2] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,1,6,5,3,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,7,2,5,3,4] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,2,7,6,4,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,8,7,2,5,4,3] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,6,5,2,4,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,6,2,4,8,7,5] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,5,2,4,8,7,6] => [1,5,2,4,8,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,2,3,8,7,5] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,5,2,4,8,7,3] => [1,5,2,4,8,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,1,2,7,3,6,8] => [1,2,7,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,7,2,3,5,8] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,8,2,3,5,7] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,2,8,3,6,5] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,1,2,8,3,6,4] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,1,2,7,3,6,4] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,1,2,7,3,6,5] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,6,2,3,5,8] => [1,6,2,3,5,8,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,1,7,2,3,5,4] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,1,8,2,3,5,4] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,8,2,7,4,6,5] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,1,7,6,2,4,5,8] => [1,7,2,4,5,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,1,6,2,3,5,8] => [1,6,2,3,5,8,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,1,2,7,3,6,4] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,2,7,4,6,3] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,5,8,3,7,4,6,2] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,7,2,3,5,4] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,6,1,2,3,4,8] => [1,2,3,4,8,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,6,2,4,5,3] => [1,7,2,4,5,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,5,2,7,1,8,6] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,3,6,2,7,5,8,1] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,2,7,1,8,5] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,3,5,1,7,6,8,2] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,1,7,5,8,2] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,5,7,1,8,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,2,7,1,8,4] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,2,5,1,7,6,8,4] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,1,7,5,8,4] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,5,7,1,8,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,5,7,1,8,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,1,7,5,8,3] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,1,7,6,8,3] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,2,7,1,8,3] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[8,6,3,5,2,4,1,7] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,4,6,5,3,1,7] => [1,7,2,4,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,5,4,6,1,3,7] => [1,3,7,2,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,4,3,2,1,8,6] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,4,2,1,3,8,6] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,1,7,5,3,6,2] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,4,1,8,7,5,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,6,1,4,7,5,3] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,3,5,6,8,2,4] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,8,7,3,5,1] => [1,2,6,8,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,3,2,1,5,8,6] => [1,5,8,2,3,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,8,2,1,7,5,3] => [1,7,2,3,4,6,8,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,8,7,2,5,3] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,2,5,8,6,4,3] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,3,5,1,2,8,7] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,3,6,1,2,8,7] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,4,2,6,3,5] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,1,8,7,5,3,4,6] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,4,7,6,2,3] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,3,5,6,7,2] => [1,8,2,3,5,6,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,4,8,3,6,7,5] => [1,4,8,2,3,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,8,2,5,6,7,4] => [1,8,2,5,6,7,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,2,4,3,6,1,5] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,3,2,4,1,7,5] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,3,4,6,7,5] => [1,8,2,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,7,8,5,4,3,6] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,4,5,3,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,3,5,1,2,7,4] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,3,2,6,1,7,4] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,8,4,7,6,2,1] => [1,2,3,5,8,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,3,5,2,1,7,4] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,8,5,6,7,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,5,8,1,7,2] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,3,7,2,8,4,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,1,4,8,6,2,3] => [1,4,8,2,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,3,1,8,2,7,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,3,5,8,2,7,1] => [1,2,7,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,6,8,4,7] => [1,6,8,2,5,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,8,3,7,6,1] => [1,2,5,8,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,2,1,6,8,3,7] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,1,4,8,2,7] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,3,2,7,1,8,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,2,8,7,5,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,4,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,7,5,8,3,2,6] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,5,8,4,1,3,6] => [1,3,6,2,5,8,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,6,3,7,4,2] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,8,7,3,5,2] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,1,6,8,4,2,5] => [1,6,8,2,5,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,7,6,3,1,8,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,7,4,1,8,3,6] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,6,7,2,1,4,8,5] => [1,4,8,2,3,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,7,1,4,6,2,5] => [1,4,6,2,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,6,8,2,7,4,3] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,7,1,8,6,4,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,1,8,2,6,4,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,3,1,6,5,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,2,7,3,5,1,8] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,4,2,6,3,5,1,8] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,2,7,6,4,5,1,8] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,2,6,3,5,1,8] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,7,6,2,3,4,1,8] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,2,7,3,4,6] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,2,5,4,1,8,6,7] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,2,1,3,8,5,7] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,2,1,8,3,5,6] => [1,8,2,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,2,7,3,4,6] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,1,2,7,3,4,6] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,1,2,8,3,4,6] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,1,2,3,8,4,7] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,1,3,8,5,7] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,1,4,8,5,7] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,1,8,4,5,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,2,1,8,3,5,6] => [1,8,2,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,2,7,3,4,6] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,3,5,6,1,2,8,7] => [1,2,8,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,2,7,1,8,3,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,5,1,2,8,7] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,4,6,2,8,3,1] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,4,7,2,6,3,5] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,5,7,3,4,6] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,3,5,1,7,4,2] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,8,6,5,7,1,2] => [1,2,3,4,8,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,4,6,8,2,7,3] => [1,4,6,8,2,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,4,6,7,1,8,3] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,4,2,8,6,5,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,8,2,7,6,5,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,2,3,8,5,6,1] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,1,6,3,4,2,5] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,4,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,6,5,7,3,4] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,7,5,3,6,8,4] => [1,7,2,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,3,5,2,1,8,4] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,2,8,7,3,5] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,5,8,7,6,3] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,2,4,6,1,7,3] => [1,7,2,4,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,4,6,1,8,2] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,2,6,3,1,8,7] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,7,5,2,8,4,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,3,2,4,1,8,7] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,4,1,5,8,7] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,7,4,3,6,5] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,6,3,2,5,4,7] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,3,5,2,7,4,1] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,2,4,8,1,6,3] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,2,8,5,7,6,1] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,8,7,6,5,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,2,1,7,5,3,6] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,4,8,6,5,7,2] => [1,4,8,2,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,1,6,8,2,4,3] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,2,5,1,7,4,3] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,5,8,3,7,1] => [1,2,5,8,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,1,8,5,6,7] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,2,8,3,4,6,1] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,5,4,3,6,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,8,4,5,3,6,1] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,5,8,4,6,3,7] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,3,5,6,1,7] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,3,6,5,2,7] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,4,8,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,1,3,7,2,6,5] => [1,3,7,2,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,4,8,3,5,7,6] => [1,4,8,2,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,2,4,3,5,1,7] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,7,2,4,1,6,8] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,8,5,3,4,6,7,1] => [1,2,8,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,7,2,4,6,1,8] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,2,7,3,1,4,8] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,2,1,8,7,4] => [1,8,2,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,7,6,1,4,8,2] => [1,4,8,2,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,2,7,3,1,8,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,2,8,3,7,4,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,2,3,8,6,5,7] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,2,3,8,5,7,6] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,6,8,4,3,5,2] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,2,8,4,5,7,3] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,2,7,3,4,1,8] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,6,8,7,3,2,4] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,6,8,4,3,2,5] => [1,6,8,2,5,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,3,6,5,7,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,3,6,2,7,5] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,1,4,8,6,2,7,5] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,4,8,6,5,2,7] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,6,7,8,3,2,5] => [1,6,7,8,2,5,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,2,4,8,1,7] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,2,5,8,4,7,3] => [1,2,5,8,3,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,6,7,8,3,5,2] => [1,6,7,8,2,3,5,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,1,5,7,3,6] => [1,5,7,2,4,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,1,4,7,2,5,8] => [1,4,7,2,5,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,7,5,4,3,6] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,2,7,4,1,8] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,3,1,8,4,2,7,5] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,7,3,6,4,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,6,8,2,4,7,3] => [1,5,6,8,2,4,7,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,8,5,3,1,4,7] => [1,4,7,2,6,8,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,1,4,7,3,5,8] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,7,5,2,1,3,8] => [1,3,8,2,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,6,1,8,3,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,6,2,7,3,4] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,5,7,1,2,8,3] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,5,6,3,1,8,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,6,4,3,8,1,2] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,2,4,7,8,3,5] => [1,6,2,4,7,8,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,7,5,2,4,3] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,6,2,3,5,7] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,2,5,1,3,8,6] => [1,3,8,2,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,6,2,4,8,1,5] => [1,5,2,4,8,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,7,1,2,5,8,6] => [1,2,5,8,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,7,1,2,8,4] => [1,2,8,3,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,7,4,1,2,8,5] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,2,6,1,8,3,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,7,1,4,8,2,6] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,6,8,2,3,5] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,1,7,8,2,3,6] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,1,5,8,6,2,3] => [1,5,8,2,3,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,8,6,2,3,5] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,7,8,5,3,6,4] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,4,2,6,5,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,3,1,8,4,7,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,4,5,7,2,8,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,3,6,2,4,8,1] => [1,2,4,8,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,7,4,5,8,1] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,7,3,6,8,1] => [1,2,5,7,3,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,7,6,2,3,8,1] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,6,2,4,5,8,1] => [1,2,4,5,8,3,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,2,1,7,3,4,6] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,2,1,8,3,4,6] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,1,2,8,4,6] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,2,3,1,8,4,7] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,7,3,4,5,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,1,5,7,2,3,6] => [1,5,7,2,3,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,7,5,8,2,3,6] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,3,8,2,4,5,6] => [1,7,2,4,5,6,3,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,7,1,8,3,6] => [1,8,2,5,7,3,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,6,2,7,1,8,4,5] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,3,7,1,2,8,4,5] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,6,1,8,3,4,5] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,6,1,7,3,4,5] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,1,5,8,2,4,6] => [1,5,8,2,4,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,1,3,6,8,2,7] => [1,3,6,8,2,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,3,8,7,1,2] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,1,8,7,2,4,6] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,8,2,4,6,1,5] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,8,7,1,3,6] => [1,3,6,2,5,8,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,8,1,6,2,4,5] => [1,6,2,4,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,8,3,6,2,4,5] => [1,7,8,2,4,5,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,5,8,7,2,3,6] => [1,5,8,2,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,6,7,3,2,5,4] => [1,6,7,2,5,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,5,3,7,2,4,6] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,7,2,5,8,1] => [1,2,5,8,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,3,1,8,2,7,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,1,2,8,5,7] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,3,1,7,2,4,8] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,1,3,8,2,4,6] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,7,2,8,5,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,7,2,1,5,8] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,3,7,1,2,8,4] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,4,7,1,8,2,3] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,7,8,4,3,5,6] => [1,7,8,2,3,5,6,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,8,3,1,4,7,5] => [1,4,7,2,6,8,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,1,3,7,6,2,5] => [1,3,7,2,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,4,3,5,6,7] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,2,4,3,5,6,8] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,2,4,3,5,7,8] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,2,4,3,6,7,8] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,2,5,3,4,7,8] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,2,5,3,4,6,8] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,5,3,4,6,7] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,6,3,4,5,7] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,2,6,3,4,5,8] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,7,3,5,4,6] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,2,3,8,4,6,5,7] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,3,7,4,6,5,8] => [1,2,3,7,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,2,6,3,5,4,8] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,8,2,6,3,5,4,7] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,8,2,3,4,6,5,7] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,2,3,4,6,5,8] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,3,4,7,5,6] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,3,8,4,7,5,6] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,7,3,6,4,5] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,6,2,7,5,3,1,8] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,6,7,2,4,3,1,8] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,8,2,4,1,7,3] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,8,5,1,4,7] => [1,4,7,2,6,8,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,8,1,5,2,4,3] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,8,1,5,3,2,4] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,8,3,1,6,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,7,5,4,2,6,8] => [1,3,7,2,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,7,5,1,2,8,6] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,7,1,5,6,8,2] => [1,5,6,8,2,3,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,5,7,1,4,8,2] => [1,4,8,2,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,2,7,4,1,8,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,1,8,6,4,7,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,1,8,7,2,4,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,8,2,7,4,1] => [1,2,7,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,3,8,4,6,2,5] => [1,3,8,2,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,4,7,1,8,3,6] => [1,8,2,4,7,3,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,3,6,4,1,8,7,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,1,8,2,7,4] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,6,1,5,8,4,7,3] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,7,8,5,6] => [1,7,8,2,4,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,4,5,7,1,8,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,4,6,1,7,8,3] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,3,2,5,4,1,8] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,1,6,2,4,8] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,4,3,2,7,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,7,4,3,1,8,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,7,5,1,3,8,2] => [1,3,8,2,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,1,8,5,4,7,6] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,4,3,1,7,6] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,8,4,3,6,5,1] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,4,3,6,5,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,6,1,7,3,5] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,7,1,6,8,4,2] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,7,6,1,8,3,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,7,1,8,2,3] => [1,8,2,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,5,7,1,2,8,3] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,4,7,2,1,8,3] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,4,6,2,7,3,5] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,8,3,2,6,7,4,5] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,3,2,7,1,8,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,3,2,7,6,5,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,5,1,8,2,7,6] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,2,1,5,8,3,7,6] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,6,8,7,3,5] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,8,1,7,2,5] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,7,1,6,5,3] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,6,1,8,3,5,2] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,5,1,7,4,6,2] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,1,7,5,8,3] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,8,4,1,7,5,2] => [1,7,2,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,5,7,1,8,2] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,5,6,1,8,3,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,4,2,6,7,5,3] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,3,1,7,6,8,4] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,5,1,6,8,4,3] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,1,7,5,8,3] => [1,7,2,4,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,2,7,5,8,3] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,2,7,6,8,4] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,1,5,8,3,4] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,5,1,7,6,8,4] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,1,5,8,3,2,4] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,7,1,5,8,2,4] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,1,7,6,8,4] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,6,2,5,8,3,4] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,5,7,6,2,4] => [1,5,7,2,4,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,1,3,7,6,8,4] => [1,3,7,2,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,8,2,4,5,1,6] => [1,6,2,4,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,4,8,6,1,7] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,2,1,8,3,4,7] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,2,5,6,8,1,7] => [1,7,2,5,6,8,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,1,8,6,5,2,3] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,6,3,5,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,7,1,8,6,5,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,4,8,7,1,5,3] => [1,5,2,4,8,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,3,7,4,5,2] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,4,8,1,7,5,3] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,2,1,7,3,5,4] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,5,3,4,6,2] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,3,5,4,6,2] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,5,4,7,1,6,3] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,6,2,4,3,1,5] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,5,4,3,6,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,4,3,7,5,2] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,7,3,2,5,4] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,7,3,1,6,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,4,1,7,2,6,3] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,3,1,7,2,6,4] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,3,7,2,5,4] => [1,3,7,2,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,4,5,3,6,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,4,3,5,6,2] => [1,8,2,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,4,2,1,7,3,6] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,4,1,6,3,2,5] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,2,5,1,7,6,4] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,2,5,1,7,4,6] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,4,3,1,7,2,6] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,4,1,3,7,2,6] => [1,3,7,2,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,4,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,7,6,4,3,5] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,4,2,6,3,5,1] => [1,2,6,3,5,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,7,6,4,2,5] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,7,6,5,2,4] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,7,6,2,5,4] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,2,5,4,7,1,6] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,7,6,3,5,4] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,1,8,4,6,2] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,3,1,7,8,6,4] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,1,2,8,4,3,7] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,2,8,5,3,7] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,1,2,8,6,5,7] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,2,5,8,3,4,7] => [1,2,5,8,3,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,1,5,7,8,3,4] => [1,5,7,8,2,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,1,6,8,7,4] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,2,5,7,3,4,8] => [1,6,2,5,7,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,1,5,8,6,2,4] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,2,4,7,3,5,8] => [1,6,2,4,7,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,1,3,8,7,4,6] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,3,8,5,2,6] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,1,3,8,4,2,6] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,2,4,8,3,5,7] => [1,2,4,8,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,2,4,1,8,6] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,2,4,1,8,7] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,6,3,4,1,8,7] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,7,3,4,1,8,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,8,5,7,3,4,1] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,7,3,4,1,8,5] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,6,7,3,5,2] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,5,7,3,6,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,8,5,7,4,6,2] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,5,7,4,6,3] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,7,3,5,1,8,4] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,4,6,2,3,1,8,5] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,3,1,8,5,7,4] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,6,2,4,1,7,3] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,4,1,8,6,7,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,6,2,5,1,7,3] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,4,6,2,7,3] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,1,8,5,6,2,7,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,8,5,6,2,7,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,5,1,7,3,6,2] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,6,2,8,4,5,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,8,4,7,2,5,6] => [1,3,8,2,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,1,4,7,2,5,8] => [1,4,7,2,5,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,8,2,5,7,3,6] => [1,4,8,2,5,7,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,4,3,2,7,6] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,6,8,3,7,5,2] => [1,4,6,8,2,3,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,5,3,1,6,7] => [1,6,7,2,4,8,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,1,4,7,6,3] => [1,4,7,2,5,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,8,4,7,6,1,2] => [1,2,3,5,8,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,5,3,1,8,7] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,5,1,3,6,8,2] => [1,3,6,8,2,4,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,6,1,4,8,2] => [1,4,8,2,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,7,5,2,4,8,3] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,1,8,4,2,5,7] => [1,8,2,5,7,3,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,1,6,8,4,5,3,7] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,1,8,5,3,4,6] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,1,8,5,4,6,7,2] => [1,8,2,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,3,6,2,5,7] => [1,8,2,5,7,3,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,1,3,4,8,2,6,5] => [1,3,4,8,2,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,5,4,1,2,7,8] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,5,1,7,8,6,3] => [1,7,8,2,4,5,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,3,4,5,8,1,7] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,2,7,1,8,4,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,2,7,3,1,4,8] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,6,4,1,8,3,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,2,4,3,1,6,8] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,2,6,5,1,3,8] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,3,5,4,1,6,8] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,2,4,1,5,7,3] => [1,5,7,2,4,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,3,5,7,1,4,8] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,8,6,5,3,7,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,8,5,7,6,3,1] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,1,8,4,7,2] => [1,8,2,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,7,1,2,8,6,4] => [1,2,8,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,3,1,2,7,5,8] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,2,8,4,7,1] => [1,2,8,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,6,1,8,7,3] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,7,8,6,5,3] => [1,7,8,2,4,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,7,5,1,8,6,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,4,1,5,8,6,3] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,7,1,5,8,6,4] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,4,6,1,8,2] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,1,7,3,5,6] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,3,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,8,3,1,7,5,2] => [1,7,2,3,4,6,8,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,4,2,7,3,6] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,7,2,5,8,1,6,3] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,5,6,8,1,7,3] => [1,7,2,4,5,6,8,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,4,6,5,1,2,7] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,8,2,7,6,4,1] => [1,2,7,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,8,1,7,6,4,2] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,1,7,6,4,3] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,7,1,6,3,4] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,7,1,6,3,5] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,4,6,1,5,3,7] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,4,6,2,5,3,7] => [1,4,6,2,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,8,7,2,6,3,5] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,7,2,6,3,4] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,2,7,6,4,3] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,3,7,6,4,1] => [1,2,5,8,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,3,2,7,5,4,6] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,2,8,3,7,6,4,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,7,2,6,3,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,7,2,6,3,5] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,1,8,2,7,6,4,5] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,3,7,6,4,5] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,6,2,5,8,4,7] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,6,5,8,2,4,7] => [1,6,2,4,7,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,5,1,8,3,4,6] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,6,5,3,7,4] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,2,8,6,3,7,5] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,6,2,4,7,5] => [1,6,2,4,7,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,3,2,4,6,5] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,3,2,4,6,5] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,3,1,7,2,4,6] => [1,7,2,4,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,6,4,2,7,3,5] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,2,8,5,3,7,6,4] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,3,2,6,4,5] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,3,2,6,4,5] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,7,5,3,6,4] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,6,3,7,5,4] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,7,3,6,5,8,2] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,7,6,2,4,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,7,8,6,2,4,3] => [1,7,8,2,4,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,4,8,3,5,7,2] => [1,4,8,2,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,7,2,1,4,8] => [1,4,8,2,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,8,2,1,7,4] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,7,2,1,8,4] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,4,1,8,6,5,7] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,8,2,1,6,4] => [1,6,2,3,5,8,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,5,1,3,4,8] => [1,3,4,8,2,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,4,1,8,5,7,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,1,3,8,5,7,4] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,1,8,3,4,5] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,1,2,8,4,6] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,6,3,4,2,5] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,8,3,2,7,5] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,5,7,2,4,1,6] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,3,6,5,1,7,2] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,6,5,2,7,3,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,3,7,6,2,5,8] => [1,3,7,2,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,7,5,3,2,4,8] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,3,7,4,5,6] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,2,6,3,5,4] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,1,8,2,6,4,3,5] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,1,8,3,2,7,4,6] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,2,1,8,4,7,5,6] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,2,6,5,3,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,8,2,5,6,3,4] => [1,7,8,2,5,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,2,3,6,4,5,8] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,1,7,8,4,2] => [1,7,8,2,3,5,6,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,6,1,8,7,4,3] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,6,8,1,7,3,4] => [1,7,2,5,6,8,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,4,5,1,6,3,7] => [1,6,2,4,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,6,8,2,3,7,4] => [1,5,6,8,2,3,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,6,8,7,5,3] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,7,8,2,3,6,4] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,7,2,3,6,5] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,3,4,7,6,5] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,3,4,5,7,6] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,3,4,6,7,5] => [1,2,8,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,6,1,4,8,7,3] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,6,4,1,8,7,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,1,8,2,6,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,1,3,8,2,6,4] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,7,4,8,3,6,2] => [1,5,7,2,3,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,1,3,8,6,2,4] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,1,8,3,5,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,7,8,4,3,5,2] => [1,6,7,8,2,3,5,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,7,8,4,2,5,3] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,1,8,3,2,5,4] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,2,1,8,3,6,4] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,7,1,8,4,6,3] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,7,2,1,8,6,3,4] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,1,2,8,6,3,4] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,7,8,3,5,4,2] => [1,6,7,8,2,3,5,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,7,8,2,5,4,3] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,1,8,2,5,3,4] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,8,2,4,3,1,5] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,7,8,5,2,4,3] => [1,7,8,2,4,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,1,8,5,3,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,1,4,7,2,3,6] => [1,4,7,2,3,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,7,1,8,6,5,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,1,2,7,8,5,3] => [1,2,7,8,3,4,6,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,4,2,8,7,5,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,1,4,8,3,2,6] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,7,4,2,8,5,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,1,6,2,4,5,3] => [1,6,2,4,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,1,8,7,3,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,2,7,3,6,8,1] => [1,2,7,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,3,6,4,2,8,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,7,4,3,5,8,1] => [1,2,7,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,6,4,2,8,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,6,4,5,2,8,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,4,3,1,8,2,7] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,4,1,7,2,6,3] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,4,1,8,3,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,4,2,1,8,3,6] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,3,1,8,2,7] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,8,3,1,7,2,5,4] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,1,6,2,5,4,3] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,6,3,2,5,4] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,8,5,7,3,6,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,7,6,8,3,2,4] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,3,1,8,4,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,1,8,4,3,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,1,7,4,2,5,3] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,2,7,3,4,6,5] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,2,8,3,5,4,6] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,6,1,8,4,3,5] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[8,2,6,1,7,3,5,4] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,3,1,5,8,4,2,6] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,5,8,3,6,7] => [1,5,8,2,3,6,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,2,7,1,8,3,6] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,4,3,1,6,8,2,7] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,8,6,4,3,5,1] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,7,6,3,5,4,1] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,6,5,2,4,3] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,6,5,3,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,8,7,4,6,2,5] => [1,3,8,2,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,7,4,6,2,3] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,8,5,7,4,6,1,2] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,3,7,4,6,1,2] => [1,2,3,7,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,3,8,5,6,1,2] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,1,8,5,6,2,3] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,1,7,4,6,2,3] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,6,2,7,3,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,7,3,5,2,4] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,6,7,3,5,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,1,8,6,7,3,4] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,1,8,5,7,3,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,3,6,1,5,2,4] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,1,8,4,7,3,5] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,8,2,5,1,6,3,4] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,2,5,1,7,3,4] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,2,6,1,7,3,4] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,2,6,1,7,3,5] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,7,3,6,1,8,4,5] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,7,4,6,2,3,1,8] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,4,6,3,8,1,2] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,4,6,3,7,1,2] => [1,2,3,7,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,4,6,2,3,1,7] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,3,5,2,7,1,8] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,8,3,5,2,4,1,7] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,3,5,2,4,1,6] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,3,5,2,4,1,8] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,4,2,6,1,8] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,3,6,2,4,1,5] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,3,5,2,6,1,8] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,8,3,4,2,5,1,7] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,3,4,2,6,1,7] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,3,5,2,6,1,7] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,6,5,2,1,3,8,7] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,8,1,7,3,2,5] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,6,8,7,4,3,5] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,7,6,8,3,5,4] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,3,7,4,6,5,2] => [1,3,7,2,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,8,3,4,5,7,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,2,4,5,6,3,8] => [1,7,2,4,5,6,3,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,2,7,5,1,8,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,1,8,5,2,4,7] => [1,8,2,4,7,3,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,2,6,3,5,4,7,8] => [1,2,6,3,5,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,1,2,8,6,5,7] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,1,6,3,2,4,7] => [1,6,2,4,7,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,5,8,3,1,6,4] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,5,6,3,2,4,8] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,2,3,8,5,7,4] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,7,3,2,4,6,8] => [1,5,7,2,4,6,8,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,7,3,1,8,4,6] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,1,8,6,4,2,7,5] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,6,7,4,3,2,5] => [1,6,7,2,5,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,3,1,7,4,6] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,3,2,4,6,7] => [1,8,2,4,6,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,5,1,7,3,4,6] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,1,8,3,4,7,5] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,5,3,4,6,8,2] => [1,7,2,3,4,6,8,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,6,3,1,8,7,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,6,4,3,1,7,5] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,4,3,5,6,7] => [1,2,8,3,5,6,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,4,2,3,5,6,8] => [1,7,2,3,5,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,4,3,2,5,6] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,2,4,6,3,7] => [1,5,8,2,4,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,4,2,7,3,6] => [1,5,8,2,7,3,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,3,1,6,7,2,4,8] => [1,6,7,2,4,8,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,3,2,4,5,6,7] => [1,8,2,4,5,6,7,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,3,2,4,1,7,5] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,6,5,2,4,7] => [1,6,2,4,7,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,1,6,2,5,4,7] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,6,8,2,7,3,5] => [1,4,6,8,2,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,5,1,2,8,4,6] => [1,2,8,3,7,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,1,5,8,2,7,3,6] => [1,5,8,2,7,3,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,4,7,2,6,8,3,5] => [1,4,7,2,6,8,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,2,8,4,6,7,5] => [1,2,8,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,4,3,2,5,8,6] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,3,4,2,5,6] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,6,3,4,7,5] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,8,4,3,5,6,1] => [1,2,7,8,3,5,6,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,3,7,2,1,5,8] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,3,2,7,1,6,8] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,2,1,8,5,7] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,3,2,6,1,7,4] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,3,2,6,1,8,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,3,2,7,1,8,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,4,2,6,8,1,7] => [1,7,2,6,8,3,5,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,2,5,8,4,6,1,7] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,4,1,7,6,8] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,5,7,3,6,8] => [1,5,7,2,3,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,2,3,7,1,6,8] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,8,3,1,6,7] => [1,6,7,2,5,8,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,3,5,2,1,6,8] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,2,7,5,1,6,8] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,3,2,5,1,7,8] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,1,3,7,2,6,8] => [1,3,7,2,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,4,1,2,7,8] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,4,1,2,7,5,8] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,3,1,7,2,5,8] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,2,7,1,3,4,8] => [1,3,4,8,2,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,2,7,3,1,6,8] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,1,7,3,5,8] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,1,4,7,5,8] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,1,4,7,5,8] => [1,4,7,2,3,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,7,4,6,1,8] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,6,2,1,5,7,4,8] => [1,5,7,2,3,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,7,5,3,6,8] => [1,7,2,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,6,4,1,3,7,8] => [1,3,7,8,2,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,1,8,5,4,7,6] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,5,1,8,2,7,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,4,5,3,2,7,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,5,3,1,7,6] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,2,1,7,5,8] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,2,7,1,8,4] => [1,8,2,7,3,5,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,4,6,2,8,7,5,1] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,2,7,8,4,1] => [1,2,7,8,3,5,6,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,2,7,4,1,8] => [1,8,2,7,3,5,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,8,5,6,7,3,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,1,8,7,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,6,8,7,3,5] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,3,2,6,7,5,4] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,1,6,7,8,4,3] => [1,6,7,8,2,5,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,1,6,7,4,8,3] => [1,6,7,2,5,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,1,8,7,5,2] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,8,1,7,5,2] => [1,7,2,3,4,6,8,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,6,1,7,5,3] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,4,6,2,7,5,3] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,8,5,6,7,2,4,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,5,7,3,2,4,8] => [1,5,7,2,4,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,5,8,3,2,4,7] => [1,5,8,2,4,7,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,8,2,4,7,1,5,6] => [1,5,6,2,4,7,3,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,5,6,7,1,8,2] => [1,8,2,3,5,6,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,1,5,8,2,4,6] => [1,5,8,2,4,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,2,4,6,1,5,8] => [1,5,8,2,4,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,7,4,6,8] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,8,4,6,7] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,7,8,4,6] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,3,2,4,6,1,5] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,5,7,8,3,2,4] => [1,5,7,8,2,4,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,6,1,7,8,3] => [1,7,8,2,5,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,6,1,8,3,4,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,5,8,7,3,2,4] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,3,2,4,6,1,5] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,8,7,4,6] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,6,4,7,8] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,8,7,5,6] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,6,8,7,4] => [1,6,8,2,5,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,6,7,8,4] => [1,6,7,8,2,5,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,8,5,6,7] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,7,5,6,8] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,6,8,5,7] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,6,7,4,8] => [1,6,7,2,5,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,6,1,7,3,5,2] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,2,4,8,6,1,5] => [1,5,2,4,8,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,1,5,7,3,2,4] => [1,5,7,2,4,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,1,8,5,7,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,8,5,1,7,4,2] => [1,7,2,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,8,6,7,4] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,4,1,5,8,6,7] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,7,8,6,4] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,1,8,7,6,4] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,7,3,1,8,4,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,4,3,6,1,7,2] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,8,1,6,7,4] => [1,6,7,2,5,8,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,4,6,8,1,7,3] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,1,8,5,7,3] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,6,1,8,4,7] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,1,5,8,6,4] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,7,4,8,1,6,3] => [1,6,2,5,7,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,7,1,6,4,8] => [1,6,2,5,7,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,2,7,1,5,8,4] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,2,7,1,4,8,5] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,1,7,4,6,8] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,4,2,1,7,3,6] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,1,4,8,6,5] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,8,2,1,7,4,6] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,7,2,1,5,6,8] => [1,5,6,8,2,3,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,2,1,8,4,6,7] => [1,8,2,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,5,3,4,1,7,6] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,5,3,4,1,8,7] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,5,2,4,1,7,6] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,3,6,4,5,2] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,4,7,5,6,3] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,3,4,2,6,5] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,7,3,6,4,5,1] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,3,1,7,4,6,5] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,3,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,7,1,5,2,4,3] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,6,7,3,5,4] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,5,6,2,4,3] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,2,6,4,5,3] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,7,4,6,3,5,1] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,7,2,6,3,5,1] => [1,2,6,3,5,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,7,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,4,6,2,5,3] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,7,1,6,2,4,3] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,5,7,3,6,4] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,4,6,3,5,2] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,7,3,6,2,4] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,8,4,5,7,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,1,8,4,5,7,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,1,8,4,5,7,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,7,8,2,4,6,3] => [1,5,7,8,2,4,6,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,7,8,2,4,6,3] => [1,7,8,2,4,6,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,1,8,4,2,5,3] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,1,8,4,6,5,3] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,8,4,6,5,1] => [1,2,7,8,3,4,6,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,7,8,5,4,6,3] => [1,2,7,8,3,4,6,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,8,4,3,5,1] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,1,8,3,4,6,2] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,5,8,3,4,6,2] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,5,4,3,2,7] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,3,5,6,2,7] => [1,8,2,7,3,5,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,6,8,4,5,3,2,7] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,3,8,4,6,5,2] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,2,8,5,4,6,1] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,3,8,5,4,6,1] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,4,5,3,7,6] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,4,8,2,6,7] => [1,4,8,2,6,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,5,4,3,6,7] => [1,2,8,3,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,5,1,4,7,2,6] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,5,7,4,3,6] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,4,8,7,5,3,6] => [1,2,4,8,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,2,8,7,4,3,5] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,2,8,7,3,5] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,8,1,5,2,4,6] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,2,8,5,3,4,6] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,2,8,4,3,7,5] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,2,8,3,7,5] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,7,3,5,8,4,6] => [1,2,7,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,7,5,8,3,4,6] => [1,2,7,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,1,3,7,2,4,6] => [1,3,7,2,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,5,8,3,7,4,6] => [1,2,5,8,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,2,8,4,3,6,5] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,7,4,5,3,6] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,7,1,5,2,4,6] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,2,8,6,4,3,5] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,2,8,6,3,5] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,3,4,1,6,2,5] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,3,4,1,7,2,5] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,3,4,1,8,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,4,1,8,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,3,4,1,7,2,6] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,2,7,3,4,1,8] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,3,5,1,7,2,6] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,7,3,5,1,8,2,6] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[5,6,3,8,4,7,1,2] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,1,8,3,6,2,7] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,6,3,5,2,1,8,7] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,3,5,2,4,1,6] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,2,4,5,3,1,6] => [1,6,2,4,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,8,4,5,7,2,1] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,3,5,1,7,4,2] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,4,7,6,3,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,4,7,6,3,1] => [1,2,5,8,3,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,3,6,1,4,7,2] => [1,4,7,2,3,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,4,5,2,3,6] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,2,4,1,6,3,5] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,3,6,2,1,7,4] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,8,4,5,7,2,3] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,3,5,1,7,2,4] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,5,8,3,6,7,4] => [1,5,8,2,3,6,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,3,6,1,2,7,4] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,2,5,6,7,3] => [1,8,2,5,6,7,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,1,5,6,7,3] => [1,5,6,7,2,4,8,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,7,6,2,3,8,1] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,7,3,6,8,4,2] => [1,5,7,2,3,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,4,7,1,6,5,3] => [1,6,2,4,7,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,7,3,6,8,4,2] => [1,7,2,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,4,7,2,6,5,3] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,7,1,8,6,4,3] => [1,8,2,5,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,7,8,2,6,4,3] => [1,5,7,8,2,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,1,7,2,6,5,3] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,8,7,2,6,5,3] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,3,7,6,5,4] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,7,2,6,5,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,1,8,2,5,4,3] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,1,5,8,3,6,4] => [1,5,8,2,7,3,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,6,5,1,8,2,7,4] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,6,5,1,8,7,2,3] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,1,8,7,2,3] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,1,8,2,7,4] => [1,8,2,7,3,5,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,4,6,1,3,8,7,5] => [1,3,8,2,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,1,2,8,7,5] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,1,2,8,7,5] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,1,8,2,7,4] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,3,1,5,8,2,6,4] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,3,5,7,2,6,4] => [1,3,5,7,2,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,1,5,8,3,6,4] => [1,5,8,2,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,1,3,8,7,5] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,1,4,8,7,5] => [1,4,8,2,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,3,1,8,7,6] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,3,1,2,8,7,5] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,4,1,2,8,7,5] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,4,1,3,8,7,5] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,1,2,3,8,6,5] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,1,3,4,8,6,5] => [1,3,4,8,2,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,3,1,4,8,7,5] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,1,4,8,7,5] => [1,4,8,2,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,4,1,8,7,6] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,6,1,5,8,7] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,3,5,8,1,7] => [1,7,2,4,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,3,5,1,8,7] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,3,1,5,8,7] => [1,5,8,2,4,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,5,3,1,8,7] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,5,1,3,8,7] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,5,1,8,7,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,5,8,1,7,3] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,5,8,1,3,7] => [1,3,7,2,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,5,8,3,1,7] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,1,5,8,3,7] => [1,5,8,2,4,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,1,5,8,7,3] => [1,5,8,2,4,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,8,1,5,7,3] => [1,5,7,2,4,6,8,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,1,8,5,7,3] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,6,8,5,7,3] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,4,6,8,5,3,7] => [1,4,6,8,2,3,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,8,1,5,3,7] => [1,5,2,4,6,8,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,8,5,1,3,7] => [1,3,7,2,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,8,3,1,5,7] => [1,5,7,2,4,6,8,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,3,1,8,5,7] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,6,8,1,5,7] => [1,5,7,2,4,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,3,1,6,8,5,7] => [1,6,8,2,4,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,5,2,8,7,3,1] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,3,1,8,7,5] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,4,6,8,3,7,5] => [1,4,6,8,2,3,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,8,5,7,3,1] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,4,1,8,7,5,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,1,4,8,7,5,3] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,1,4,8,7,3,5] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,4,1,8,7,3,5] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,6,4,8,1,7,3,5] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,2,4,8,7,3,1,5] => [1,5,2,4,8,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,7,4,5,8,2,6] => [1,3,7,2,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,6,3,7,2,4,5] => [1,6,2,4,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,7,4,5,8,3,6] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,1,7,5,8,2,6] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,2,1,7,3,4,6] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,2,1,8,3,4,6] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,2,4,8,3,6,7] => [1,2,4,8,3,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,1,5,8,2,7] => [1,5,8,2,7,3,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,6,1,4,5,8,3,7] => [1,4,5,8,2,6,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,1,3,4,8,2,7] => [1,3,4,8,2,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,2,4,8,3,5,7] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,1,3,7,2,4,6] => [1,3,7,2,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,2,1,5,8,3,7] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,3,4,1,8,6,7] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,5,2,1,8,6,7] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,4,8,7,2,3,6] => [1,4,8,2,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,2,1,4,5,8,6] => [1,4,5,8,2,3,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,1,4,6,8,5] => [1,4,6,8,2,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,7,2,1,5,8,4,6] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,1,6,8,4,5] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,7,6,1,8,3,5] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,2,6,8,1,3,7,5] => [1,3,7,2,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,7,1,3,8,5] => [1,3,8,2,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,1,8,6,4,5] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,1,8,7,4,5] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,8,1,7,3,5] => [1,7,2,6,8,3,5,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,1,8,5,4,2,6,7] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,8,5,4,6,1,2] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,8,7,5,4,6,1,2] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,8,5,4,7,1,2] => [1,2,3,6,8,4,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,2,5,8,3,6,4] => [1,2,5,8,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,5,7,3,6,4] => [1,8,2,5,7,3,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,3,6,1,8,2,7,5] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,5,8,6,4,3,2,7] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,1,5,8,2,7] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,5,1,6,3,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,7,4,3,2,5] => [1,6,8,2,5,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,7,4,3,2,5] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,7,8,4,3,2,5] => [1,7,8,2,5,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,6,4,3,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,7,6,4,3,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,6,5,3,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,5,6,3,7,4] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,4,5,8,3,7,6] => [1,2,4,5,8,3,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,3,5,4,1,8,6] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,4,6,3,2,5] => [1,4,6,2,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,6,4,7,8,2,5] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,7,4,3,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,5,8,4,3,2,6] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,7,4,3,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,1,8,4,3,2,7] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,7,8,4,3,2,6] => [1,5,7,8,2,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,7,5,1,3,8,6] => [1,3,8,2,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,4,1,8,2,7] => [1,8,2,7,3,5,6,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,6,4,5,1,3,8,7] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,2,7,1,5,8] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,5,4,1,6,8] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,1,5,8,3,7,4] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,4,3,6,7,2] => [1,5,8,2,3,6,7,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,3,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,3,2,7,1,8,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,3,2,1,8,4,7] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,6,3,2,1,7,5] => [1,7,2,3,4,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,7,2,1,8,6,3] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,1,7,4,5,8] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,2,1,8,4,6] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,4,1,3,7,6] => [1,3,7,2,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,8,2,1,7,4,5] => [1,7,2,3,6,8,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,5,1,8,3,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,5,1,8,4,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,5,1,4,8,7] => [1,4,8,2,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,4,1,5,8,7] => [1,5,8,2,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,1,4,8,5,3] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,1,4,8,3,5] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,1,8,4,2,6] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,3,5,1,8,6,4,2] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,1,5,8,4,3] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,4,1,8,5,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,6,2,8,4,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,4,1,8,3,5] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,3,5,1,8,6,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,5,8,3,7,2] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,5,8,3,2,7] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,5,8,2,3,6] => [1,5,8,2,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,5,8,2,6,3] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,6,1,8,4,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,4,5,8,6,3,7] => [1,4,5,8,2,3,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,3,5,8,2,1,6] => [1,6,2,3,5,8,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,4,5,8,3,7,6] => [1,4,5,8,2,3,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,6,2,5,3,4] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,6,7,2,5,3,4] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,7,2,6,3,4] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,8,1,7,2,6,3,4] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,7,5,6,3,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,7,4,6,3,5] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,8,1,7,2,6,3,5] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,8,4,7,2,6,3,5] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,8,4,7,5,6,2,3] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,8,4,7,5,6,1,2] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,4,5,2,6,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,7,4,2,5,3] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,3,5,6,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,1,8,4,2,5,6] => [1,8,2,5,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,7,8,2,6,3,4] => [1,5,7,8,2,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,3,8,5,7,4,1] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,4,8,5,3,1,7] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,1,4,8,5,2,7] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,1,4,8,2,6,7] => [1,4,8,2,6,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,2,3,8,4,6,7,1] => [1,2,3,8,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,1,3,6,7,2,5] => [1,3,6,7,2,5,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,1,2,8,7,4] => [1,2,8,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,7,5,1,8,4] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,2,5,7,1,8,6,3] => [1,8,2,5,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,2,6,8,1,7,4] => [1,7,2,6,8,3,5,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,2,5,6,1,3,8,7] => [1,3,8,2,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,8,4,7,2,1] => [1,2,3,6,8,4,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,2,5,8,3,6,1] => [1,2,5,8,3,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,6,8,4,3,2,7] => [1,6,8,2,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,1,8,4,3,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,6,1,7,3,2,5] => [1,7,2,5,3,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,6,1,4,7,2,5] => [1,4,7,2,5,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,2,8,4,3,6,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,8,4,6,2,1] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,3,5,8,6,2,1] => [1,2,3,5,8,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,3,1,4,6,2,5] => [1,4,6,2,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,3,5,1,6,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,6,5,1,3,7,4] => [1,3,7,2,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,2,4,7,8,5,3] => [1,6,2,4,7,8,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,4,8,1,5,7] => [1,5,7,2,4,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,7,2,5,8,6,3] => [1,4,7,2,5,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,8,5,3,7,1,2] => [1,2,3,7,4,6,8,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,2,7,3,6,4] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,2,7,5,1,8,6,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,6,4,1,3,7] => [1,3,7,2,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,6,2,5,8,3,7] => [1,4,6,2,5,8,3,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,7,4,2,3,5] => [1,6,8,2,3,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,1,7,8,2,4,3,5] => [1,7,8,2,4,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,6,3,4,2,5] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,3,6,5,7,4] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,4,1,7,5,8,3] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,3,5,4,2,7,6] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,8,2,4,6,3,1,5] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,5,8,3,4,1,6] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,7,3,1,8,5] => [1,8,2,4,6,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,5,8,4,2,1,7] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,5,8,2,6,4,3] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,8,5,7,6,2,4] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,2,5,7,6,3,4] => [1,8,2,5,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,6,2,7,3,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,6,1,7,3,4] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,5,8,1,6,4,3] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,2,8,6,5,7,3,4] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,6,5,4,1,8,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,6,2,4,1,8,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,6,5,7,3,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,7,3,5,6,8,2] => [1,7,2,3,5,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,6,4,1,2,8,3] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,6,2,5,1,8,3] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,6,4,5,1,8,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,7,3,6,8,1,2] => [1,2,3,6,8,4,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,7,2,5,1,6,8] => [1,6,8,2,5,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,7,2,5,8,3,6] => [1,4,7,2,5,8,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,2,4,7,1,5,8] => [1,5,8,2,4,7,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,7,6,5,1,4,8] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,3,2,5,1,4,6] => [1,4,6,2,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,3,6,8,4,2,5] => [1,3,6,8,2,5,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,5,8,3,6,2,4] => [1,5,8,2,4,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,7,2,3,6,4] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,1,6,4,7,2,5,8] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,7,5,1,8,3,6] => [1,8,2,4,7,3,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,2,4,3,1,5,7,8] => [1,5,7,8,2,4,3,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,7,3,6,1,8,5] => [1,8,2,4,7,3,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,2,7,8,5,4,3,6] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,1,2,8,4,5,7] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,1,8,2,7,4,3] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,1,8,5,3,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,6,1,7,4,8,3] => [1,7,2,5,6,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,3,6,2,7,4,1] => [1,2,7,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,7,4,6,8,2,5] => [1,3,7,2,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,6,5,7,2,4,3] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,8,6,3,7,4,5,1] => [1,2,8,3,7,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,6,2,4,5,3] => [1,6,2,4,5,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,4,7,2,5,3] => [1,4,7,2,5,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,1,8,4,5,3,6] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,1,2,8,4,3,5,7] => [1,2,8,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,2,5,8,3,4,7] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,1,3,7,2,6,4] => [1,3,7,2,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,2,1,7,3,6,5] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,2,1,8,5,3,6] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,3,1,5,8,2,7] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,8,5,4,6,2,1] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,8,4,7,2,1] => [1,2,3,5,8,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,2,8,7,3,6,1] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,8,5,7,4,6,1] => [1,2,8,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,7,4,6,3,5] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,6,3,5,8,7] => [1,6,2,3,5,8,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,4,1,3,8,5,7] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,6,4,3,5,8,7] => [1,6,2,3,5,8,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,2,1,8,3,5,7] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,1,8,3,5,7] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,4,3,6,5,7] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,4,6,3,5,7] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,1,4,8,3,5,7] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,4,8,1,3,5,7] => [1,3,5,7,2,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,1,3,8,5,7] => [1,3,8,2,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,4,1,6,3,5,7] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,1,4,8,3,5,7] => [1,4,8,2,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,1,3,8,6,5,7] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,3,8,6,5,7] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,8,3,6,5,7] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,8,6,3,5,7] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,1,8,4,3,5,7] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,4,8,3,6,5,7] => [1,4,8,2,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,4,8,6,3,5,7] => [1,4,8,2,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,1,6,3,5,7] => [1,6,2,4,8,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,6,4,1,3,5,7] => [1,3,5,7,2,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,8,4,1,3,5,7] => [1,3,5,7,2,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,6,4,3,5,7] => [1,8,2,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,3,4,2,7,6] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,5,8,1,7,2] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,5,1,7,2,6,4] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[8,3,5,2,6,1,7,4] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[8,2,6,3,5,1,7,4] => [1,7,2,6,3,5,4,8] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[3,2,7,1,8,5,6,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,6,5,8,1,7,4] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,4,1,8,5,6,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,5,6,2,4,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,2,6,4,5,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,5,7,1,8,3,4,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,8,3,5,7,6,1] => [1,2,4,8,3,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,3,1,8,6,7] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,1,3,8,2,6,7] => [1,3,8,2,6,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,4,8,3,2,6,7] => [1,4,8,2,6,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,4,3,2,6,7] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,1,5,7,3,6,2] => [1,5,7,2,3,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,8,4,7,6,5,2,1] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,6,8,5,3,7,4,2] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,7,4,3,5,2] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,4,1,3,8,2,5] => [1,3,8,2,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,7,8,5,3,6] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,4,6,3,1,8,5] => [1,8,2,7,3,4,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,2,6,3,4,1,8,5] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,7,3,1,4,8,5] => [1,4,8,2,6,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,1,8,3,5,4,6] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[2,1,7,3,5,8,4,6] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,2,6,3,5,4,1] => [1,2,6,3,5,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,2,6,7,4,3] => [1,8,2,6,7,3,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,8,5,7,6,4,3,1] => [1,2,8,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,6,4,2,5,3] => [1,6,2,5,3,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,6,1,5,3,2,4] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,7,2,8,4,1] => [1,2,8,3,5,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,3,6,1,2,8,7] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,4,6,3,8,2,1] => [1,2,3,8,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,4,7,3,6,2,5] => [1,4,7,2,5,3,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,1,4,7,3,2,6] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,8,5,7,4,3,6] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,4,6,8,3,7,2] => [1,4,6,8,2,3,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,1,3,5,8,6,2] => [1,3,5,8,2,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,6,2,1,4,7,5] => [1,4,7,2,3,6,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,3,5,1,8,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,5,7,3,6,8,4] => [1,5,7,2,3,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,3,6,1,2,8,4] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,7,2,5,6,8,3] => [1,7,2,5,6,8,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,7,1,6,5,8,3] => [1,6,2,4,7,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,6,2,1,8,7,5,3] => [1,8,2,3,4,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,2,7,8,5,1] => [1,2,7,8,3,4,6,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,1,4,8,2,7,3] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,3,1,8,7,2,4] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,6,4,7,1,8,2] => [1,8,2,3,5,6,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,2,6,1,4,8] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,5,2,6,4,1,8] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,4,5,7,3,1,8,2] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,5,7,1,3,8,2] => [1,3,8,2,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,1,7,8,4,2] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,7,1,8,3,2] => [1,8,2,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,6,7,8,3,2,4] => [1,5,6,7,8,2,4,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,5,7,2,1,8,3] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,6,7,2,8,3,1] => [1,2,8,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,2,7,8,4,1] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,2,7,1,8,4] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,3,6,2,7,8,5,1] => [1,2,7,8,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,7,2,8,5,1] => [1,2,8,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,5,7,2,1,8,6] => [1,8,2,3,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,6,7,8,3,5] => [1,6,7,8,2,3,5,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,6,7,8,2,4,3] => [1,5,6,7,8,2,4,3] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,6,7,1,8,5,2] => [1,8,2,3,4,6,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,1,7,8,5,2] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,6,1,7,8,5,4] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,4,6,7,1,8,5,3] => [1,8,2,4,6,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,8,3,6,1,5,7,2] => [1,5,7,2,3,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,5,1,8,6,2,4,3] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,4,1,8,2,6,3,5] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[7,1,8,4,2,6,3,5] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[6,1,3,8,5,2,4,7] => [1,3,8,2,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,3,1,8,4,2,6,5] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,2,3,6,5,4] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,2,3,8,4,7,6] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,2,4,1,8,7,3,5] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,4,1,3,8,7,6] => [1,3,8,2,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,1,4,8,2,7,6] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,3,8,2,4,7,6] => [1,3,8,2,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,4,8,2,7,6,3] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,5,8,2,7,6,3] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,2,8,7,4,6] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,6,1,8,7,3,5] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,3,1,5,8,2,7,6] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,4,8,7,2,6,5] => [1,3,4,8,2,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,4,8,2,7,6,5] => [1,3,4,8,2,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,5,8,1,7,6,3] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,3,5,1,8,7,6,4] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,1,2,7,3,5,8] => [1,2,7,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,3,6,2,4,7,1,8] => [1,8,2,4,7,3,6,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,2,7,1,8,3,6,5] => [1,8,2,7,3,6,4,5] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[1,7,6,5,2,4,8,3] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,6,5,3,1,4,8] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,7,1,4,8,3,5,6] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,7,6,3,8,4,1,2] => [1,2,3,8,4,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,6,5,2,1,3,8] => [1,3,8,2,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,6,5,1,8,3,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,6,5,3,1,8,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,6,2,4,7,8,3] => [1,6,2,4,7,8,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,2,6,8,3,5,4] => [1,7,2,6,8,3,5,4] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,7,6,3,5,8,1,2] => [1,2,3,5,8,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,1,7,3,5,8,6] => [1,7,2,3,5,8,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,5,1,3,7,6,4] => [1,3,7,2,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,7,2,1,5,8,6] => [1,5,8,2,3,7,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,7,6,2,4,8,3,5] => [1,7,2,4,8,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,5,3,6,4,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,6,3,2,7,5,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,7,4,3,6,2] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,5,7,2,4,6,3] => [1,8,2,4,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,6,5,8,4,1,3,7] => [1,3,7,2,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,3,6,8,2,1,5,7] => [1,5,7,2,3,6,8,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,5,1,8,4,2,7] => [1,8,2,7,3,5,4,6] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[8,4,1,5,7,3,6,2] => [1,5,7,2,3,6,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,2,5,8,3,1,7] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,4,1,6,8,2,3,7] => [1,6,8,2,3,7,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,2,5,8,6,3,1] => [1,2,5,8,3,4,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,1,8,4,7,5,2] => [1,8,2,3,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,4,2,8,7,3,5,1] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,8,1,4,7,5,2] => [1,4,7,2,3,6,8,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,7,1,3,6,4] => [1,3,6,2,5,8,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,7,3,8,6,5,1,2] => [1,2,3,8,4,7,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,5,1,2,4,8,7] => [1,2,4,8,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,5,7,8,3,2,6] => [1,5,7,8,2,6,3,4] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,5,8,7,3,2,6] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,7,8,5,2,3,6] => [1,7,8,2,3,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,1,8,7,5,2,3,6] => [1,8,2,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,3,2,4,1,6,5] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,3,2,4,1,6,5] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,8,5,4,3,2,6] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,7,8,2,4,1,6] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,5,4,3,2,6] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,7,4,5,3,2,6] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,1,7,3,4,6,8,5] => [1,7,2,3,4,6,8,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,7,3,2,4,1,8,5] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,7,2,4,3,6,1,5] => [1,5,2,4,3,6,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,6,2,4,3,1,7,5] => [1,7,2,4,3,5,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,3,2,4,8,1,5] => [1,5,2,4,8,3,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,6,2,4,3,1,8,5] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,8,1,2,6,3,5,4] => [1,2,6,3,5,4,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,8,2,7,3,5,6] => [1,4,8,2,7,3,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,6,8,4,7,5,2] => [1,3,6,8,2,4,7,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,4,8,5,7,6,1,2] => [1,2,3,4,8,5,7,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,7,3,5,4,2] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,2,3,6,5,1,4,8] => [1,4,8,2,3,6,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,1,2,7,3,5,4] => [1,2,7,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,2,7,6,3,4] => [1,5,8,2,7,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,1,8,2,7,6,3,4] => [1,8,2,7,3,4,5,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,8,2,1,7,4,3,5] => [1,7,2,3,5,4,6,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,6,4,1,2,8,5,7] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,1,8,7,6,3,4] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[2,5,8,4,1,7,6,3] => [1,7,2,5,8,3,4,6] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,2,8,7,6,3,5,1] => [1,2,8,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[6,3,1,8,7,2,5,4] => [1,8,2,5,3,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,5,8,4,7,2,6,3] => [1,5,8,2,6,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[5,6,2,4,3,1,8,7] => [1,8,2,4,3,5,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,8,1,7,2,3,6] => [1,7,2,3,6,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,8,1,7,2,6,3] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,8,7,4,6,2] => [1,8,2,3,5,4,6,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,5,1,8,7,2,6,4] => [1,8,2,6,3,5,4,7] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => 6
[4,3,6,1,2,8,5,7] => [1,2,8,3,6,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[4,5,8,3,1,7,2,6] => [1,7,2,6,3,4,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[3,2,5,8,7,1,6,4] => [1,6,2,5,8,3,4,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[7,1,4,8,2,6,5,3] => [1,4,8,2,6,3,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,3,7,8,2,6,5,4] => [1,3,7,8,2,6,4,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,1,2,6,7,3,5,4] => [1,2,6,7,3,5,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,2,5,7,1,6,3,4] => [1,6,2,5,7,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,2,4,7,1,6,3] => [1,6,2,4,7,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,5,1,4,7,2,6,3] => [1,4,7,2,6,3,5,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,4,6,8,2,7,5,3] => [1,4,6,8,2,7,3,5] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[1,8,4,5,7,2,6,3] => [1,8,2,6,3,4,5,7] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,5,7,1,6,2,4] => [1,6,2,4,3,5,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,4,2,5,7,1,6,3] => [1,6,2,5,7,3,4,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
[8,3,7,2,4,6,1,5] => [1,5,2,4,6,3,7,8] => [3,1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 9
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Generating function
$F_{1} = q$
$F_{2} = 2\ q^{2}$
Description
The number of indecomposable modules with projective dimension 2 for Nakayama algebras with global dimension at most 2.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
LLPS
Description
The Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
An ascent in a sequence $u = (u_1, u_2, \ldots)$ is an index $i$ such that $u_i < u_{i+1}$. Let $\mathrm{asc}(u)$ denote the number of ascents of $u$, and let
$$\mathrm{asc}^{*}(u) := \begin{cases} 0 &\textrm{if u is empty}, \\ 1 + \mathrm{asc}(u) &\textrm{otherwise}.\end{cases}$$
Given a permutation $w$ in the symmetric group $\mathfrak{S}_n$, define
$A'_k := \max_{u_1, \ldots, u_k} (\mathrm{asc}^{*}(u_1) + \cdots + \mathrm{asc}^{*}(u_k))$
where the maximum is taken over disjoint subsequences ${u_i}$ of $w$.
Then $A'_1, A'_2-A'_1, A'_3-A'_2,\dots$ is a partition of $n$. Its conjugate is the Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
An ascent in a sequence $u = (u_1, u_2, \ldots)$ is an index $i$ such that $u_i < u_{i+1}$. Let $\mathrm{asc}(u)$ denote the number of ascents of $u$, and let
$$\mathrm{asc}^{*}(u) := \begin{cases} 0 &\textrm{if u is empty}, \\ 1 + \mathrm{asc}(u) &\textrm{otherwise}.\end{cases}$$
Given a permutation $w$ in the symmetric group $\mathfrak{S}_n$, define
$A'_k := \max_{u_1, \ldots, u_k} (\mathrm{asc}^{*}(u_1) + \cdots + \mathrm{asc}^{*}(u_k))$
where the maximum is taken over disjoint subsequences ${u_i}$ of $w$.
Then $A'_1, A'_2-A'_1, A'_3-A'_2,\dots$ is a partition of $n$. Its conjugate is the Lewis-Lyu-Pylyavskyy-Sen shape of a permutation.
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