Identifier
-
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00127: Permutations —left-to-right-maxima to Dyck path⟶ Dyck paths
St000025: Dyck paths ⟶ ℤ (values match St000439The position of the first down step of a Dyck path.)
Values
[1] => [1] => [1] => [1,0] => 1
[1,2] => [1,2] => [1,2] => [1,0,1,0] => 1
[2,1] => [1,2] => [1,2] => [1,0,1,0] => 1
[1,2,3] => [1,2,3] => [1,2,3] => [1,0,1,0,1,0] => 1
[1,3,2] => [1,3,2] => [2,3,1] => [1,1,0,1,0,0] => 2
[2,1,3] => [1,3,2] => [2,3,1] => [1,1,0,1,0,0] => 2
[2,3,1] => [1,2,3] => [1,2,3] => [1,0,1,0,1,0] => 1
[3,1,2] => [1,2,3] => [1,2,3] => [1,0,1,0,1,0] => 1
[3,2,1] => [1,2,3] => [1,2,3] => [1,0,1,0,1,0] => 1
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[1,2,4,3] => [1,2,4,3] => [2,3,4,1] => [1,1,0,1,0,1,0,0] => 2
[1,3,2,4] => [1,3,2,4] => [2,3,1,4] => [1,1,0,1,0,0,1,0] => 2
[1,3,4,2] => [1,3,4,2] => [2,4,1,3] => [1,1,0,1,1,0,0,0] => 2
[1,4,2,3] => [1,4,2,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => 2
[1,4,3,2] => [1,4,2,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => 2
[2,1,3,4] => [1,3,4,2] => [2,4,1,3] => [1,1,0,1,1,0,0,0] => 2
[2,1,4,3] => [1,4,2,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => 2
[2,3,1,4] => [1,4,2,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => 2
[2,3,4,1] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[2,4,1,3] => [1,3,2,4] => [2,3,1,4] => [1,1,0,1,0,0,1,0] => 2
[2,4,3,1] => [1,2,4,3] => [2,3,4,1] => [1,1,0,1,0,1,0,0] => 2
[3,1,2,4] => [1,2,4,3] => [2,3,4,1] => [1,1,0,1,0,1,0,0] => 2
[3,1,4,2] => [1,4,2,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => 2
[3,2,1,4] => [1,4,2,3] => [2,1,4,3] => [1,1,0,0,1,1,0,0] => 2
[3,2,4,1] => [1,2,4,3] => [2,3,4,1] => [1,1,0,1,0,1,0,0] => 2
[3,4,1,2] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[3,4,2,1] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[4,1,2,3] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[4,1,3,2] => [1,3,2,4] => [2,3,1,4] => [1,1,0,1,0,0,1,0] => 2
[4,2,1,3] => [1,3,2,4] => [2,3,1,4] => [1,1,0,1,0,0,1,0] => 2
[4,2,3,1] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[4,3,1,2] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[4,3,2,1] => [1,2,3,4] => [1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[1,2,3,5,4] => [1,2,3,5,4] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[1,2,4,3,5] => [1,2,4,3,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 2
[1,2,4,5,3] => [1,2,4,5,3] => [2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => 2
[1,2,5,3,4] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[1,2,5,4,3] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[1,3,2,4,5] => [1,3,2,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 2
[1,3,2,5,4] => [1,3,2,5,4] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => 3
[1,3,4,2,5] => [1,3,4,2,5] => [2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => 2
[1,3,4,5,2] => [1,3,4,5,2] => [2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0] => 2
[1,3,5,2,4] => [1,3,5,2,4] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[1,3,5,4,2] => [1,3,5,2,4] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[1,4,2,3,5] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[1,4,2,5,3] => [1,4,2,5,3] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => 3
[1,4,3,2,5] => [1,4,2,5,3] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => 3
[1,4,3,5,2] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[1,4,5,2,3] => [1,4,5,2,3] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => 2
[1,4,5,3,2] => [1,4,5,2,3] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => 2
[1,5,2,3,4] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[1,5,2,4,3] => [1,5,2,4,3] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[1,5,3,2,4] => [1,5,2,4,3] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[1,5,3,4,2] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[1,5,4,2,3] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[1,5,4,3,2] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[2,1,3,4,5] => [1,3,4,5,2] => [2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0] => 2
[2,1,3,5,4] => [1,3,5,2,4] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[2,1,4,3,5] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[2,1,4,5,3] => [1,4,5,2,3] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => 2
[2,1,5,3,4] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[2,1,5,4,3] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[2,3,1,4,5] => [1,4,5,2,3] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => 2
[2,3,1,5,4] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[2,3,4,1,5] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[2,3,5,1,4] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[2,3,5,4,1] => [1,2,3,5,4] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[2,4,1,3,5] => [1,3,5,2,4] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[2,4,1,5,3] => [1,5,2,4,3] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[2,4,3,1,5] => [1,5,2,4,3] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[2,4,3,5,1] => [1,2,4,3,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 2
[2,4,5,1,3] => [1,3,2,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 2
[2,4,5,3,1] => [1,2,4,5,3] => [2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => 2
[2,5,1,3,4] => [1,3,4,2,5] => [2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => 2
[2,5,1,4,3] => [1,4,2,5,3] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => 3
[2,5,3,1,4] => [1,4,2,5,3] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => 3
[2,5,3,4,1] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[2,5,4,1,3] => [1,3,2,5,4] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => 3
[2,5,4,3,1] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[3,1,2,4,5] => [1,2,4,5,3] => [2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => 2
[3,1,2,5,4] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[3,1,4,2,5] => [1,4,2,5,3] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => 3
[3,1,4,5,2] => [1,4,5,2,3] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => 2
[3,1,5,2,4] => [1,5,2,4,3] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[3,1,5,4,2] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[3,2,1,4,5] => [1,4,5,2,3] => [2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => 2
[3,2,1,5,4] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[3,2,4,1,5] => [1,5,2,4,3] => [3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 3
[3,2,4,5,1] => [1,2,4,5,3] => [2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => 2
[3,2,5,1,4] => [1,4,2,5,3] => [3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => 3
[3,2,5,4,1] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[3,4,1,2,5] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[3,4,1,5,2] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[3,4,2,1,5] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[3,4,2,5,1] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[3,4,5,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[3,4,5,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[3,5,1,2,4] => [1,2,4,3,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 2
[3,5,1,4,2] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
>>> Load all 5913 entries. <<<[3,5,2,1,4] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[3,5,2,4,1] => [1,2,4,3,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 2
[3,5,4,1,2] => [1,2,3,5,4] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[3,5,4,2,1] => [1,2,3,5,4] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[4,1,2,3,5] => [1,2,3,5,4] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[4,1,2,5,3] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[4,1,3,2,5] => [1,3,2,5,4] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => 3
[4,1,3,5,2] => [1,3,5,2,4] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[4,1,5,2,3] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[4,1,5,3,2] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[4,2,1,3,5] => [1,3,5,2,4] => [2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[4,2,1,5,3] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[4,2,3,1,5] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[4,2,3,5,1] => [1,2,3,5,4] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[4,2,5,1,3] => [1,3,2,5,4] => [3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => 3
[4,2,5,3,1] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[4,3,1,2,5] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[4,3,1,5,2] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[4,3,2,1,5] => [1,5,2,3,4] => [2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 2
[4,3,2,5,1] => [1,2,5,3,4] => [2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[4,3,5,1,2] => [1,2,3,5,4] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[4,3,5,2,1] => [1,2,3,5,4] => [2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 2
[4,5,1,2,3] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[4,5,1,3,2] => [1,3,2,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 2
[4,5,2,1,3] => [1,3,2,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 2
[4,5,2,3,1] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[4,5,3,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[4,5,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[5,1,2,3,4] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[5,1,2,4,3] => [1,2,4,3,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 2
[5,1,3,2,4] => [1,3,2,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 2
[5,1,3,4,2] => [1,3,4,2,5] => [2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => 2
[5,1,4,2,3] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[5,1,4,3,2] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[5,2,1,3,4] => [1,3,4,2,5] => [2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => 2
[5,2,1,4,3] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[5,2,3,1,4] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[5,2,3,4,1] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[5,2,4,1,3] => [1,3,2,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 2
[5,2,4,3,1] => [1,2,4,3,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 2
[5,3,1,2,4] => [1,2,4,3,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 2
[5,3,1,4,2] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[5,3,2,1,4] => [1,4,2,3,5] => [2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 2
[5,3,2,4,1] => [1,2,4,3,5] => [2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 2
[5,3,4,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[5,3,4,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[5,4,1,2,3] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[5,4,1,3,2] => [1,3,2,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 2
[5,4,2,1,3] => [1,3,2,4,5] => [2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 2
[5,4,2,3,1] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[5,4,3,1,2] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[5,4,3,2,1] => [1,2,3,4,5] => [1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,2,3,5,6,4] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,2,3,6,5,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 3
[1,2,4,5,3,6] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,2,4,5,6,3] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,2,4,6,3,5] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,2,4,6,5,3] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,5,3,6,4] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,2,5,4,3,6] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[1,2,5,4,6,3] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,5,6,3,4] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,2,5,6,4,3] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,2,6,3,4,5] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,2,6,3,5,4] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,6,4,3,5] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,6,4,5,3] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,2,6,5,3,4] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,2,6,5,4,3] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[1,3,2,5,6,4] => [1,3,2,5,6,4] => [3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,3,2,6,4,5] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,3,2,6,5,4] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[1,3,4,2,5,6] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,3,4,2,6,5] => [1,3,4,2,6,5] => [3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 3
[1,3,4,5,2,6] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,3,4,5,6,2] => [1,3,4,5,6,2] => [2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,3,4,6,2,5] => [1,3,4,6,2,5] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,3,4,6,5,2] => [1,3,4,6,2,5] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,3,5,2,4,6] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,5,2,6,4] => [1,3,5,2,6,4] => [3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,3,5,4,2,6] => [1,3,5,2,6,4] => [3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[1,3,5,4,6,2] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,3,5,6,2,4] => [1,3,5,6,2,4] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,3,5,6,4,2] => [1,3,5,6,2,4] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,3,6,2,4,5] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,6,2,5,4] => [1,3,6,2,5,4] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,3,6,4,2,5] => [1,3,6,2,5,4] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,3,6,4,5,2] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,6,5,2,4] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,3,6,5,4,2] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,2,3,6,5] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,4,2,5,3,6] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,4,2,5,6,3] => [1,4,2,5,6,3] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,4,2,6,3,5] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,4,2,6,5,3] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,4,3,2,5,6] => [1,4,2,5,6,3] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => 3
[1,4,3,2,6,5] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,4,3,5,2,6] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[1,4,3,5,6,2] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,4,3,6,2,5] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[1,4,3,6,5,2] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,4,5,2,3,6] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,5,2,6,3] => [1,4,5,2,6,3] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,4,5,3,2,6] => [1,4,5,2,6,3] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => 3
[1,4,5,3,6,2] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,4,5,6,2,3] => [1,4,5,6,2,3] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,4,5,6,3,2] => [1,4,5,6,2,3] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,4,6,2,3,5] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,4,6,2,5,3] => [1,4,6,2,5,3] => [3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,4,6,3,2,5] => [1,4,6,2,5,3] => [3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,4,6,3,5,2] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,4,6,5,2,3] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,4,6,5,3,2] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,2,3,6,4] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,5,2,4,3,6] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,2,4,6,3] => [1,5,2,4,6,3] => [3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,2,6,3,4] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,5,2,6,4,3] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,5,3,2,4,6] => [1,5,2,4,6,3] => [3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,3,2,6,4] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,5,3,4,2,6] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,5,3,4,6,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,3,6,2,4] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,3,6,4,2] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,5,4,2,3,6] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,5,4,2,6,3] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,5,4,3,2,6] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[1,5,4,3,6,2] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[1,5,4,6,2,3] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,4,6,3,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,5,6,2,3,4] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,5,6,2,4,3] => [1,5,6,2,4,3] => [3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,6,3,2,4] => [1,5,6,2,4,3] => [3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,6,3,4,2] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,5,6,4,2,3] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,5,6,4,3,2] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,2,3,5,4] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,6,2,4,3,5] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,6,2,4,5,3] => [1,6,2,4,5,3] => [3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,6,2,5,3,4] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,5,4,3] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,2,4,5] => [1,6,2,4,5,3] => [3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,6,3,2,5,4] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,4,2,5] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,4,5,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,3,5,2,4] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,6,3,5,4,2] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,6,4,2,3,5] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,6,4,2,5,3] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,4,3,2,5] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,4,3,5,2] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[1,6,4,5,2,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,4,5,3,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,5,2,3,4] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,5,2,4,3] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,6,5,3,2,4] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[1,6,5,3,4,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,5,4,2,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,6,5,4,3,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,1,3,4,5,6] => [1,3,4,5,6,2] => [2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => 2
[2,1,3,4,6,5] => [1,3,4,6,2,5] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[2,1,3,5,4,6] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[2,1,3,5,6,4] => [1,3,5,6,2,4] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[2,1,3,6,4,5] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,1,3,6,5,4] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,1,4,3,5,6] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[2,1,4,3,6,5] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,1,4,5,3,6] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[2,1,4,5,6,3] => [1,4,5,6,2,3] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,1,4,6,3,5] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,1,4,6,5,3] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,1,5,3,4,6] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,1,5,3,6,4] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,1,5,4,3,6] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,1,5,4,6,3] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,1,5,6,3,4] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,1,5,6,4,3] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,1,6,3,4,5] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,1,6,3,5,4] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,1,6,4,3,5] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,1,6,4,5,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,1,6,5,3,4] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,1,6,5,4,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,3,1,4,5,6] => [1,4,5,6,2,3] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,4,6,5] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,3,1,5,4,6] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,3,1,5,6,4] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,3,1,6,4,5] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,3,1,6,5,4] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,3,4,1,5,6] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,3,4,1,6,5] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,3,4,5,1,6] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[2,3,4,6,1,5] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[2,3,5,1,4,6] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,3,5,1,6,4] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,3,5,4,1,6] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[2,3,5,4,6,1] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[2,3,5,6,1,4] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[2,3,5,6,4,1] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[2,3,6,1,4,5] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[2,3,6,1,5,4] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,3,6,4,1,5] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[2,3,6,5,1,4] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[2,4,1,3,5,6] => [1,3,5,6,2,4] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[2,4,1,3,6,5] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,4,1,5,3,6] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,4,1,5,6,3] => [1,5,6,2,4,3] => [3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,4,1,6,3,5] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,4,1,6,5,3] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,4,3,1,5,6] => [1,5,6,2,4,3] => [3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,4,3,1,6,5] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,4,3,5,1,6] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[2,4,3,5,6,1] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[2,4,3,6,1,5] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[2,4,3,6,5,1] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 3
[2,4,5,1,3,6] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,4,5,1,6,3] => [1,6,2,4,5,3] => [3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,4,5,3,1,6] => [1,6,2,4,5,3] => [3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,4,5,3,6,1] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 2
[2,4,5,6,1,3] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[2,4,5,6,3,1] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => 2
[2,4,6,1,3,5] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[2,4,6,1,5,3] => [1,5,2,4,6,3] => [3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,4,6,3,1,5] => [1,5,2,4,6,3] => [3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,4,6,3,5,1] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[2,4,6,5,1,3] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,4,6,5,3,1] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[2,5,1,3,4,6] => [1,3,4,6,2,5] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[2,5,1,3,6,4] => [1,3,6,2,5,4] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,5,1,4,3,6] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[2,5,1,4,6,3] => [1,4,6,2,5,3] => [3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,5,1,6,3,4] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,1,6,4,3] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,3,1,4,6] => [1,4,6,2,5,3] => [3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[2,5,3,1,6,4] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,3,4,1,6] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,3,4,6,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[2,5,3,6,1,4] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[2,5,3,6,4,1] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[2,5,4,1,3,6] => [1,3,6,2,5,4] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[2,5,4,1,6,3] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,4,3,1,6] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[2,5,4,3,6,1] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[2,5,4,6,1,3] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[2,5,6,1,3,4] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[2,5,6,1,4,3] => [1,4,2,5,6,3] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => 3
[2,5,6,3,1,4] => [1,4,2,5,6,3] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => 3
[2,5,6,3,4,1] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,5,6,4,1,3] => [1,3,2,5,6,4] => [3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,5,6,4,3,1] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,6,1,3,4,5] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,6,1,3,5,4] => [1,3,5,2,6,4] => [3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[2,6,1,4,3,5] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,6,1,4,5,3] => [1,4,5,2,6,3] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => 3
[2,6,1,5,3,4] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,1,5,4,3] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,3,1,4,5] => [1,4,5,2,6,3] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => 3
[2,6,3,1,5,4] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,3,4,1,5] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[2,6,3,5,1,4] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,6,3,5,4,1] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,4,1,3,5] => [1,3,5,2,6,4] => [3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[2,6,4,1,5,3] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,4,3,1,5] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,4,3,5,1] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,4,5,1,3] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[2,6,5,1,3,4] => [1,3,4,2,6,5] => [3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 3
[2,6,5,1,4,3] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,6,5,3,1,4] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[2,6,5,3,4,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[2,6,5,4,1,3] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[2,6,5,4,3,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,1,2,4,5,6] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => 2
[3,1,2,4,6,5] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[3,1,2,5,4,6] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,1,2,5,6,4] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,1,2,6,4,5] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,1,2,6,5,4] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,1,4,2,5,6] => [1,4,2,5,6,3] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => 3
[3,1,4,2,6,5] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[3,1,4,5,2,6] => [1,4,5,2,6,3] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => 3
[3,1,4,5,6,2] => [1,4,5,6,2,3] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,1,4,6,2,5] => [1,4,6,2,5,3] => [3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[3,1,4,6,5,2] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,1,5,2,4,6] => [1,5,2,4,6,3] => [3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[3,1,5,2,6,4] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,1,5,4,2,6] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,1,5,4,6,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,1,5,6,2,4] => [1,5,6,2,4,3] => [3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[3,1,5,6,4,2] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,1,6,2,4,5] => [1,6,2,4,5,3] => [3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[3,1,6,2,5,4] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,6,4,2,5] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,6,4,5,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,1,6,5,2,4] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[3,1,6,5,4,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,2,1,4,5,6] => [1,4,5,6,2,3] => [2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,2,1,4,6,5] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,2,1,5,4,6] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,2,1,5,6,4] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,2,1,6,4,5] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,2,1,6,5,4] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,2,4,1,5,6] => [1,5,6,2,4,3] => [3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[3,2,4,1,6,5] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[3,2,4,5,1,6] => [1,6,2,4,5,3] => [3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[3,2,4,5,6,1] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => 2
[3,2,4,6,1,5] => [1,5,2,4,6,3] => [3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[3,2,4,6,5,1] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[3,2,5,1,4,6] => [1,4,6,2,5,3] => [3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 3
[3,2,5,1,6,4] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,5,4,1,6] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,5,4,6,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,2,5,6,1,4] => [1,4,2,5,6,3] => [3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => 3
[3,2,5,6,4,1] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,2,6,1,4,5] => [1,4,5,2,6,3] => [3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => 3
[3,2,6,1,5,4] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,2,6,4,1,5] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,2,6,4,5,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,2,6,5,1,4] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[3,2,6,5,4,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,4,1,2,5,6] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,4,1,2,6,5] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,4,1,5,2,6] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,4,1,5,6,2] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,4,1,6,2,5] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,6,5,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,2,1,5,6] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,4,2,1,6,5] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,2,5,1,6] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,2,5,6,1] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,4,2,6,1,5] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,4,2,6,5,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,4,5,1,2,6] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,4,5,1,6,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,2,1,6] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,2,6,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,4,5,6,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[3,4,5,6,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[3,4,6,1,2,5] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,4,6,1,5,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,4,6,2,1,5] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,4,6,2,5,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,4,6,5,1,2] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[3,4,6,5,2,1] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[3,5,1,2,4,6] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[3,5,1,2,6,4] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,5,1,4,2,6] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[3,5,1,4,6,2] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,5,1,6,2,4] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,1,6,4,2] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[3,5,2,1,4,6] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,5,2,1,6,4] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[3,5,2,4,1,6] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,2,4,6,1] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[3,5,2,6,1,4] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[3,5,2,6,4,1] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,5,4,1,2,6] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,5,4,1,6,2] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[3,5,4,2,1,6] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[3,5,4,2,6,1] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[3,5,4,6,1,2] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[3,5,4,6,2,1] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[3,5,6,1,2,4] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,5,6,1,4,2] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[3,5,6,2,1,4] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[3,5,6,2,4,1] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,5,6,4,1,2] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[3,5,6,4,2,1] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[3,6,1,2,4,5] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 2
[3,6,1,2,5,4] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[3,6,1,4,2,5] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[3,6,1,4,5,2] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[3,6,1,5,2,4] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[3,6,1,5,4,2] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[3,6,2,1,4,5] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[3,6,2,1,5,4] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[3,6,2,4,1,5] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[3,6,2,4,5,1] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 2
[3,6,2,5,1,4] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[3,6,2,5,4,1] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[3,6,4,1,2,5] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[3,6,4,1,5,2] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[3,6,4,2,1,5] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[3,6,4,2,5,1] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[3,6,4,5,1,2] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[3,6,4,5,2,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[3,6,5,1,2,4] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 3
[3,6,5,1,4,2] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[3,6,5,2,1,4] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[3,6,5,2,4,1] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 3
[3,6,5,4,1,2] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[3,6,5,4,2,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,1,2,3,5,6] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[4,1,2,3,6,5] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,1,2,5,3,6] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[4,1,2,5,6,3] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,1,2,6,3,5] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,1,2,6,5,3] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,1,3,2,5,6] => [1,3,2,5,6,4] => [3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,1,3,2,6,5] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,1,3,5,2,6] => [1,3,5,2,6,4] => [3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[4,1,3,5,6,2] => [1,3,5,6,2,4] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[4,1,3,6,2,5] => [1,3,6,2,5,4] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,1,3,6,5,2] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[4,1,5,2,3,6] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,1,5,2,6,3] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,1,5,3,2,6] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,1,5,3,6,2] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,1,5,6,2,3] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,1,5,6,3,2] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,1,6,2,3,5] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[4,1,6,2,5,3] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,6,3,2,5] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,6,3,5,2] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[4,1,6,5,2,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,1,6,5,3,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,2,1,3,5,6] => [1,3,5,6,2,4] => [2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => 2
[4,2,1,3,6,5] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[4,2,1,5,3,6] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,2,1,5,6,3] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,2,1,6,3,5] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[4,2,1,6,5,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,2,3,1,5,6] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,2,3,1,6,5] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,2,3,5,1,6] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[4,2,3,5,6,1] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[4,2,3,6,1,5] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,2,3,6,5,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,2,5,1,3,6] => [1,3,6,2,5,4] => [3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,2,5,1,6,3] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,5,3,1,6] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,5,3,6,1] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[4,2,5,6,1,3] => [1,3,2,5,6,4] => [3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,2,5,6,3,1] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,6,1,3,5] => [1,3,5,2,6,4] => [3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 3
[4,2,6,1,5,3] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,2,6,3,1,5] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,2,6,3,5,1] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,2,6,5,1,3] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,2,6,5,3,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,3,1,2,5,6] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,1,2,6,5] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,3,1,5,2,6] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,3,1,5,6,2] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,3,1,6,2,5] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,1,6,5,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,3,2,1,5,6] => [1,5,6,2,3,4] => [2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,3,2,1,6,5] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,3,2,5,1,6] => [1,6,2,5,3,4] => [3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,2,5,6,1] => [1,2,5,6,3,4] => [2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,2,6,1,5] => [1,5,2,6,3,4] => [3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,3,2,6,5,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,3,5,1,2,6] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,3,5,1,6,2] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[4,3,5,2,1,6] => [1,6,2,3,5,4] => [3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 3
[4,3,5,2,6,1] => [1,2,6,3,5,4] => [3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 3
[4,3,5,6,1,2] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[4,3,5,6,2,1] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => 2
[4,3,6,1,2,5] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[4,3,6,1,5,2] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,3,6,2,1,5] => [1,5,2,3,6,4] => [3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 3
[4,3,6,2,5,1] => [1,2,5,3,6,4] => [3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 3
[4,3,6,5,1,2] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,3,6,5,2,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,5,1,2,3,6] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,5,1,2,6,3] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,1,3,2,6] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,5,1,3,6,2] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[4,5,1,6,2,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,1,6,3,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,2,1,3,6] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[4,5,2,1,6,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,2,3,1,6] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,2,3,6,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,5,2,6,1,3] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[4,5,2,6,3,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,3,1,2,6] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,3,1,6,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,3,2,1,6] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,3,2,6,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,3,6,1,2] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,5,3,6,2,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,5,6,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[4,5,6,1,3,2] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,5,6,2,1,3] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[4,5,6,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[4,5,6,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[4,5,6,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[4,6,1,2,3,5] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,6,1,2,5,3] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,6,1,3,2,5] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,6,1,3,5,2] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[4,6,1,5,2,3] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,6,1,5,3,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,6,2,1,3,5] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[4,6,2,1,5,3] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,6,2,3,1,5] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,6,2,3,5,1] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,6,2,5,1,3] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[4,6,2,5,3,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,6,3,1,2,5] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,6,3,1,5,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,6,3,2,1,5] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,6,3,2,5,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,6,3,5,1,2] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,6,3,5,2,1] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,6,5,1,2,3] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[4,6,5,1,3,2] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[4,6,5,2,1,3] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[4,6,5,2,3,1] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[4,6,5,3,1,2] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[4,6,5,3,2,1] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,1,2,3,4,6] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,1,2,3,6,4] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,1,2,4,3,6] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 3
[5,1,2,4,6,3] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[5,1,2,6,3,4] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,1,2,6,4,3] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,1,3,2,4,6] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,1,3,2,6,4] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,1,3,4,2,6] => [1,3,4,2,6,5] => [3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 3
[5,1,3,4,6,2] => [1,3,4,6,2,5] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[5,1,3,6,2,4] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,1,3,6,4,2] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,1,4,2,3,6] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,1,4,2,6,3] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,1,4,3,2,6] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,1,4,3,6,2] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,1,4,6,2,3] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[5,1,4,6,3,2] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[5,1,6,2,3,4] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,1,6,2,4,3] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,1,6,3,2,4] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,1,6,3,4,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,1,6,4,2,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,1,6,4,3,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,2,1,3,4,6] => [1,3,4,6,2,5] => [2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 2
[5,2,1,3,6,4] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,2,1,4,3,6] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,2,1,4,6,3] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[5,2,1,6,3,4] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,2,1,6,4,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,2,3,1,4,6] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[5,2,3,1,6,4] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,2,3,4,1,6] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,2,3,4,6,1] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,2,3,6,1,4] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,2,3,6,4,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,2,4,1,3,6] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,2,4,1,6,3] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,2,4,3,1,6] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,2,4,3,6,1] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 3
[5,2,4,6,1,3] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,2,4,6,3,1] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[5,2,6,1,3,4] => [1,3,4,2,6,5] => [3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 3
[5,2,6,1,4,3] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,2,6,3,1,4] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,2,6,3,4,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,2,6,4,1,3] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,2,6,4,3,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,3,1,2,4,6] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[5,3,1,2,6,4] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,3,1,4,2,6] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,3,1,4,6,2] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[5,3,1,6,2,4] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,3,1,6,4,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,3,2,1,4,6] => [1,4,6,2,3,5] => [2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[5,3,2,1,6,4] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,3,2,4,1,6] => [1,6,2,4,3,5] => [3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,3,2,4,6,1] => [1,2,4,6,3,5] => [2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 2
[5,3,2,6,1,4] => [1,4,2,6,3,5] => [3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,3,2,6,4,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,3,4,1,2,6] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,3,4,1,6,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,3,4,2,1,6] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,3,4,2,6,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,3,4,6,1,2] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,3,4,6,2,1] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,3,6,1,2,4] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 3
[5,3,6,1,4,2] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,3,6,2,1,4] => [1,4,2,3,6,5] => [3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 3
[5,3,6,2,4,1] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 3
[5,3,6,4,1,2] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,3,6,4,2,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,4,1,2,3,6] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,4,1,2,6,3] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,4,1,3,2,6] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,4,1,3,6,2] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,4,1,6,2,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,1,6,3,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,2,1,3,6] => [1,3,6,2,4,5] => [2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,4,2,1,6,3] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,2,3,1,6] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,2,3,6,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,4,2,6,1,3] => [1,3,2,6,4,5] => [3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 3
[5,4,2,6,3,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,4,3,1,2,6] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,4,3,1,6,2] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,3,2,1,6] => [1,6,2,3,4,5] => [2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,3,2,6,1] => [1,2,6,3,4,5] => [2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,4,3,6,1,2] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,4,3,6,2,1] => [1,2,3,6,4,5] => [2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,4,6,1,2,3] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,4,6,1,3,2] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,4,6,2,1,3] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 3
[5,4,6,2,3,1] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,4,6,3,1,2] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,4,6,3,2,1] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,6,1,2,3,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,1,2,4,3] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[5,6,1,3,2,4] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,6,1,3,4,2] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[5,6,1,4,2,3] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[5,6,1,4,3,2] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[5,6,2,1,3,4] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[5,6,2,1,4,3] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[5,6,2,3,1,4] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[5,6,2,3,4,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,2,4,1,3] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,6,2,4,3,1] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[5,6,3,1,2,4] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[5,6,3,1,4,2] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[5,6,3,2,1,4] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[5,6,3,2,4,1] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[5,6,3,4,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,3,4,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,4,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,4,1,3,2] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,6,4,2,1,3] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,6,4,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,4,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,1,2,3,4,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,1,2,3,5,4] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[6,1,2,4,3,5] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,1,2,4,5,3] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 2
[6,1,2,5,3,4] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,1,2,5,4,3] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,1,3,2,4,5] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,1,3,2,5,4] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[6,1,3,4,2,5] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[6,1,3,4,5,2] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[6,1,3,5,2,4] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[6,1,3,5,4,2] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[6,1,4,2,3,5] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,1,4,2,5,3] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[6,1,4,3,2,5] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[6,1,4,3,5,2] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,1,4,5,2,3] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[6,1,4,5,3,2] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[6,1,5,2,3,4] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,1,5,2,4,3] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,5,3,2,4] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,1,5,3,4,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,1,5,4,2,3] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,1,5,4,3,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,2,1,3,4,5] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 2
[6,2,1,3,5,4] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[6,2,1,4,3,5] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,2,1,4,5,3] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[6,2,1,5,3,4] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,2,1,5,4,3] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,2,3,1,4,5] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[6,2,3,1,5,4] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,2,3,4,1,5] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,2,3,4,5,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,2,3,5,1,4] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,2,3,5,4,1] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[6,2,4,1,3,5] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[6,2,4,1,5,3] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,2,4,3,1,5] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,2,4,3,5,1] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,2,4,5,1,3] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,2,4,5,3,1] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 2
[6,2,5,1,3,4] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[6,2,5,1,4,3] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[6,2,5,3,1,4] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[6,2,5,3,4,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,2,5,4,1,3] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[6,2,5,4,3,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,3,1,2,4,5] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 2
[6,3,1,2,5,4] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,3,1,4,2,5] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[6,3,1,4,5,2] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[6,3,1,5,2,4] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,3,1,5,4,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,3,2,1,4,5] => [1,4,5,2,3,6] => [2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[6,3,2,1,5,4] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,3,2,4,1,5] => [1,5,2,4,3,6] => [3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 3
[6,3,2,4,5,1] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 2
[6,3,2,5,1,4] => [1,4,2,5,3,6] => [3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 3
[6,3,2,5,4,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,3,4,1,2,5] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,3,4,1,5,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,3,4,2,1,5] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,3,4,2,5,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,3,4,5,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,3,4,5,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,3,5,1,2,4] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,3,5,1,4,2] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,3,5,2,1,4] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,3,5,2,4,1] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,3,5,4,1,2] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[6,3,5,4,2,1] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[6,4,1,2,3,5] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[6,4,1,2,5,3] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,4,1,3,2,5] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[6,4,1,3,5,2] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[6,4,1,5,2,3] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,4,1,5,3,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,4,2,1,3,5] => [1,3,5,2,4,6] => [2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[6,4,2,1,5,3] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,4,2,3,1,5] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,4,2,3,5,1] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[6,4,2,5,1,3] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 3
[6,4,2,5,3,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,4,3,1,2,5] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,4,3,1,5,2] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,4,3,2,1,5] => [1,5,2,3,4,6] => [2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 2
[6,4,3,2,5,1] => [1,2,5,3,4,6] => [2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[6,4,3,5,1,2] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[6,4,3,5,2,1] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 2
[6,4,5,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,4,5,1,3,2] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,4,5,2,1,3] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,4,5,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,4,5,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,4,5,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,5,1,2,3,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,5,1,2,4,3] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,5,1,3,2,4] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,5,1,3,4,2] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[6,5,1,4,2,3] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,5,1,4,3,2] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,5,2,1,3,4] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 2
[6,5,2,1,4,3] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,5,2,3,1,4] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,5,2,3,4,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,5,2,4,1,3] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,5,2,4,3,1] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,5,3,1,2,4] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,5,3,1,4,2] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,5,3,2,1,4] => [1,4,2,3,5,6] => [2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,5,3,2,4,1] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,5,3,4,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,5,3,4,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,5,4,1,2,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,5,4,1,3,2] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,5,4,2,1,3] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,5,4,2,3,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,5,4,3,1,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[1,2,3,4,6,7,5] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,2,3,4,7,6,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[1,2,3,5,6,4,7] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[1,2,3,5,6,7,4] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,2,3,5,7,4,6] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,2,3,5,7,6,4] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,6,4,7,5] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,2,3,6,5,4,7] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[1,2,3,6,5,7,4] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[1,2,3,6,7,4,5] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,2,3,6,7,5,4] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,3,7,5,4,6] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,3,7,5,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,2,3,7,6,4,5] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,2,3,7,6,5,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[1,2,4,3,6,7,5] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[1,2,4,3,7,6,5] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[1,2,4,5,3,6,7] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[1,2,4,5,3,7,6] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[1,2,4,5,6,3,7] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[1,2,4,5,6,7,3] => [1,2,4,5,6,7,3] => [2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[1,2,4,5,7,3,6] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,2,4,5,7,6,3] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,2,4,6,3,5,7] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,4,6,3,7,5] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[1,2,4,6,5,3,7] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[1,2,4,6,5,7,3] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[1,2,4,6,7,3,5] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,2,4,6,7,5,3] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[1,2,4,7,3,5,6] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,4,7,3,6,5] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,2,4,7,5,3,6] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,2,4,7,5,6,3] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,4,7,6,3,5] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,4,7,6,5,3] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[1,2,5,3,6,4,7] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,2,5,3,6,7,4] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[1,2,5,3,7,4,6] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[1,2,5,3,7,6,4] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[1,2,5,4,3,6,7] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[1,2,5,4,3,7,6] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[1,2,5,4,6,3,7] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[1,2,5,4,6,7,3] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,2,5,4,7,3,6] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[1,2,5,4,7,6,3] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[1,2,5,6,3,4,7] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,5,6,3,7,4] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[1,2,5,6,4,3,7] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[1,2,5,6,4,7,3] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,2,5,6,7,3,4] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,5,6,7,4,3] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[1,2,5,7,3,4,6] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,2,5,7,3,6,4] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,2,5,7,4,3,6] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,2,5,7,4,6,3] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,2,5,7,6,3,4] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,2,5,7,6,4,3] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,6,3,4,7,5] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,2,6,3,5,4,7] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,2,6,3,5,7,4] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,2,6,3,7,4,5] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,6,3,7,5,4] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,6,4,3,5,7] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,2,6,4,3,7,5] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,6,4,5,3,7] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,6,4,5,7,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,6,4,7,3,5] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,2,6,4,7,5,3] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,2,6,5,3,4,7] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,2,6,5,3,7,4] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,6,5,4,3,7] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[1,2,6,5,4,7,3] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[1,2,6,5,7,3,4] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,6,5,7,4,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,2,6,7,3,4,5] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,2,6,7,3,5,4] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,2,6,7,4,3,5] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,2,6,7,4,5,3] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,2,6,7,5,3,4] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,2,6,7,5,4,3] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,2,7,3,5,4,6] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[1,2,7,3,5,6,4] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,7,3,6,5,4] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,7,4,3,5,6] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,2,7,4,3,6,5] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,7,4,5,3,6] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,7,4,5,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,7,4,6,3,5] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[1,2,7,4,6,5,3] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,2,7,5,3,4,6] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,2,7,5,3,6,4] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,7,5,4,3,6] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,2,7,5,4,6,3] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,2,7,5,6,3,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,7,5,6,4,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,7,6,3,4,5] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,7,6,3,5,4] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[1,2,7,6,4,3,5] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[1,2,7,6,4,5,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,7,6,5,3,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,2,7,6,5,4,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,3,2,4,6,7,5] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,3,2,4,7,6,5] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[1,3,2,5,6,4,7] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,3,2,5,6,7,4] => [1,3,2,5,6,7,4] => [3,4,2,7,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,3,2,5,7,4,6] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,3,2,5,7,6,4] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[1,3,2,6,4,7,5] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,3,2,6,5,4,7] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,3,2,6,5,7,4] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[1,3,2,6,7,4,5] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,2,6,7,5,4] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[1,3,2,7,4,6,5] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,7,5,4,6] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[1,3,2,7,5,6,4] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[1,3,2,7,6,4,5] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[1,3,2,7,6,5,4] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[1,3,4,2,5,6,7] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[1,3,4,2,5,7,6] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,3,4,2,6,5,7] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[1,3,4,2,6,7,5] => [1,3,4,2,6,7,5] => [3,5,2,4,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,3,4,2,7,5,6] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[1,3,4,2,7,6,5] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[1,3,4,5,2,6,7] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[1,3,4,5,2,7,6] => [1,3,4,5,2,7,6] => [3,6,2,4,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3
[1,3,4,5,6,2,7] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[1,3,4,5,6,7,2] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[1,3,4,5,7,2,6] => [1,3,4,5,7,2,6] => [2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,3,4,5,7,6,2] => [1,3,4,5,7,2,6] => [2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[1,3,4,6,2,5,7] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,3,4,6,2,7,5] => [1,3,4,6,2,7,5] => [3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[1,3,4,6,5,2,7] => [1,3,4,6,2,7,5] => [3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[1,3,4,6,5,7,2] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,3,4,6,7,2,5] => [1,3,4,6,7,2,5] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,3,4,6,7,5,2] => [1,3,4,6,7,2,5] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,3,4,7,2,5,6] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,4,7,2,6,5] => [1,3,4,7,2,6,5] => [3,2,5,6,7,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,3,4,7,5,2,6] => [1,3,4,7,2,6,5] => [3,2,5,6,7,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,3,4,7,5,6,2] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,4,7,6,2,5] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,4,7,6,5,2] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,5,2,4,6,7] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,5,2,4,7,6] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[1,3,5,2,6,4,7] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[1,3,5,2,6,7,4] => [1,3,5,2,6,7,4] => [3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,3,5,2,7,4,6] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,3,5,2,7,6,4] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,3,5,4,2,6,7] => [1,3,5,2,6,7,4] => [3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,3,5,4,2,7,6] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,3,5,4,6,2,7] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,3,5,4,6,7,2] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,5,4,7,2,6] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[1,3,5,4,7,6,2] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[1,3,5,6,2,4,7] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,3,5,6,2,7,4] => [1,3,5,6,2,7,4] => [3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[1,3,5,6,4,2,7] => [1,3,5,6,2,7,4] => [3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[1,3,5,6,4,7,2] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[1,3,5,6,7,2,4] => [1,3,5,6,7,2,4] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,3,5,6,7,4,2] => [1,3,5,6,7,2,4] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[1,3,5,7,2,4,6] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,3,5,7,2,6,4] => [1,3,5,7,2,6,4] => [3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,3,5,7,4,2,6] => [1,3,5,7,2,6,4] => [3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,3,5,7,4,6,2] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,3,5,7,6,2,4] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,3,5,7,6,4,2] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,3,6,2,4,5,7] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,6,2,4,7,5] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,3,6,2,5,4,7] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[1,3,6,2,5,7,4] => [1,3,6,2,5,7,4] => [3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,3,6,2,7,4,5] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,3,6,2,7,5,4] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,3,6,4,2,5,7] => [1,3,6,2,5,7,4] => [3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,3,6,4,2,7,5] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,3,6,4,5,2,7] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,3,6,4,5,7,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,6,4,7,2,5] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[1,3,6,4,7,5,2] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,3,6,5,2,4,7] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,3,6,5,2,7,4] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,3,6,5,4,2,7] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,3,6,5,4,7,2] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[1,3,6,5,7,2,4] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,6,5,7,4,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[1,3,6,7,2,4,5] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,3,6,7,2,5,4] => [1,3,6,7,2,5,4] => [3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,3,6,7,4,2,5] => [1,3,6,7,2,5,4] => [3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,3,6,7,4,5,2] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,3,6,7,5,2,4] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,3,6,7,5,4,2] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,3,7,2,4,5,6] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,3,7,2,4,6,5] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,2,5,4,6] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[1,3,7,2,5,6,4] => [1,3,7,2,5,6,4] => [3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,3,7,2,6,4,5] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,2,6,5,4] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,4,2,5,6] => [1,3,7,2,5,6,4] => [3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,3,7,4,2,6,5] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,4,5,2,6] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,4,5,6,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,3,7,4,6,2,5] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[1,3,7,4,6,5,2] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,5,2,4,6] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,5,2,6,4] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,5,4,2,6] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,5,4,6,2] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,3,7,5,6,2,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,3,7,5,6,4,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,3,7,6,2,4,5] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,3,7,6,2,5,4] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[1,3,7,6,4,2,5] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[1,3,7,6,4,5,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,3,7,6,5,2,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,3,7,6,5,4,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,4,2,3,6,7,5] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,4,2,3,7,6,5] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,4,2,5,3,6,7] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[1,4,2,5,3,7,6] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[1,4,2,5,6,3,7] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[1,4,2,5,6,7,3] => [1,4,2,5,6,7,3] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3
[1,4,2,5,7,3,6] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,4,2,5,7,6,3] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,4,2,6,3,5,7] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,4,2,6,3,7,5] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,4,2,6,5,3,7] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,4,2,6,5,7,3] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,4,2,6,7,3,5] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,4,2,6,7,5,3] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,4,2,7,3,5,6] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,4,2,7,3,6,5] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,4,2,7,5,3,6] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,4,2,7,5,6,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,4,2,7,6,3,5] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,4,2,7,6,5,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,4,3,2,5,6,7] => [1,4,2,5,6,7,3] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3
[1,4,3,2,5,7,6] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,4,3,2,6,5,7] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,4,3,2,6,7,5] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,4,3,2,7,5,6] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,4,3,2,7,6,5] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,4,3,5,2,6,7] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[1,4,3,5,2,7,6] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,4,3,5,6,2,7] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[1,4,3,5,6,7,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,4,3,5,7,2,6] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[1,4,3,5,7,6,2] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,4,3,6,2,5,7] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[1,4,3,6,2,7,5] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,4,3,6,5,2,7] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[1,4,3,6,5,7,2] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,4,3,6,7,2,5] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[1,4,3,6,7,5,2] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,4,3,7,2,5,6] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[1,4,3,7,2,6,5] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,4,3,7,5,2,6] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[1,4,3,7,5,6,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,4,3,7,6,2,5] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[1,4,3,7,6,5,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,4,5,2,3,6,7] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,4,5,2,3,7,6] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,4,5,2,6,3,7] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[1,4,5,2,6,7,3] => [1,4,5,2,6,7,3] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3
[1,4,5,2,7,3,6] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,4,5,2,7,6,3] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,4,5,3,2,6,7] => [1,4,5,2,6,7,3] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3
[1,4,5,3,2,7,6] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,4,5,3,6,2,7] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[1,4,5,3,6,7,2] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,4,5,3,7,2,6] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[1,4,5,3,7,6,2] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,4,5,6,2,3,7] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,4,5,6,2,7,3] => [1,4,5,6,2,7,3] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3
[1,4,5,6,3,2,7] => [1,4,5,6,2,7,3] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3
[1,4,5,6,3,7,2] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,4,5,6,7,2,3] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,4,5,6,7,3,2] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[1,4,5,7,2,3,6] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,4,5,7,2,6,3] => [1,4,5,7,2,6,3] => [3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,4,5,7,3,2,6] => [1,4,5,7,2,6,3] => [3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,4,5,7,3,6,2] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,4,5,7,6,2,3] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,4,5,7,6,3,2] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,4,6,2,3,5,7] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,4,6,2,3,7,5] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,4,6,2,5,3,7] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,4,6,2,5,7,3] => [1,4,6,2,5,7,3] => [3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,4,6,2,7,3,5] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,4,6,2,7,5,3] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,4,6,3,2,5,7] => [1,4,6,2,5,7,3] => [3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,4,6,3,2,7,5] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,4,6,3,5,2,7] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,4,6,3,5,7,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,4,6,3,7,2,5] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,4,6,3,7,5,2] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,4,6,5,2,3,7] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,4,6,5,2,7,3] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,4,6,5,3,2,7] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[1,4,6,5,3,7,2] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,4,6,5,7,2,3] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,4,6,5,7,3,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,4,6,7,2,3,5] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,4,6,7,2,5,3] => [1,4,6,7,2,5,3] => [3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,4,6,7,3,2,5] => [1,4,6,7,2,5,3] => [3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,4,6,7,3,5,2] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,4,6,7,5,2,3] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,4,6,7,5,3,2] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[1,4,7,2,3,5,6] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,4,7,2,3,6,5] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,4,7,2,5,3,6] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,4,7,2,5,6,3] => [1,4,7,2,5,6,3] => [3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,4,7,2,6,3,5] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,4,7,2,6,5,3] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,4,7,3,2,5,6] => [1,4,7,2,5,6,3] => [3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,4,7,3,2,6,5] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,4,7,3,5,2,6] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,4,7,3,5,6,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,4,7,3,6,2,5] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,4,7,3,6,5,2] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,4,7,5,2,3,6] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,4,7,5,2,6,3] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,4,7,5,3,2,6] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,4,7,5,3,6,2] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,4,7,5,6,2,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,4,7,5,6,3,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,4,7,6,2,3,5] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,4,7,6,2,5,3] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,4,7,6,3,2,5] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,4,7,6,3,5,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,4,7,6,5,2,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,4,7,6,5,3,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,5,2,3,6,4,7] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[1,5,2,3,6,7,4] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,5,2,3,7,4,6] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,5,2,3,7,6,4] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,5,2,4,3,6,7] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[1,5,2,4,3,7,6] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[1,5,2,4,6,3,7] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,5,2,4,6,7,3] => [1,5,2,4,6,7,3] => [3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,5,2,4,7,3,6] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,5,2,4,7,6,3] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,5,2,6,3,4,7] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,2,6,3,7,4] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,5,2,6,4,3,7] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,5,2,6,4,7,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,2,6,7,3,4] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,2,6,7,4,3] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,2,7,3,4,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,2,7,3,6,4] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,5,2,7,4,3,6] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,5,2,7,4,6,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,2,7,6,3,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,2,7,6,4,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,3,2,4,6,7] => [1,5,2,4,6,7,3] => [3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,5,3,2,4,7,6] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,5,3,2,6,4,7] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,3,2,6,7,4] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,3,2,7,4,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,3,2,7,6,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,3,4,2,6,7] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,3,4,2,7,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,3,4,6,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,3,4,6,7,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,5,3,4,7,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,3,4,7,6,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,5,3,6,2,4,7] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,5,3,6,2,7,4] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,5,3,6,4,2,7] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,5,3,6,4,7,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[1,5,3,6,7,2,4] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[1,5,3,6,7,4,2] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,5,3,7,2,4,6] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,5,3,7,2,6,4] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,5,3,7,4,2,6] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,5,3,7,4,6,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,5,3,7,6,2,4] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[1,5,3,7,6,4,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,5,4,2,3,6,7] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,5,4,2,3,7,6] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,5,4,2,6,3,7] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,5,4,2,6,7,3] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,4,2,7,3,6] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,5,4,2,7,6,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,4,3,2,6,7] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[1,5,4,3,2,7,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,4,3,6,2,7] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,5,4,3,6,7,2] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[1,5,4,3,7,2,6] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[1,5,4,3,7,6,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,5,4,6,2,3,7] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,5,4,6,2,7,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,4,6,3,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[1,5,4,6,3,7,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[1,5,4,6,7,2,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,5,4,6,7,3,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,5,4,7,2,3,6] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[1,5,4,7,2,6,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,4,7,3,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[1,5,4,7,3,6,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[1,5,4,7,6,2,3] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,5,4,7,6,3,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,5,6,2,3,4,7] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,5,6,2,3,7,4] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[1,5,6,2,4,3,7] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,5,6,2,4,7,3] => [1,5,6,2,4,7,3] => [3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,5,6,2,7,3,4] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,5,6,2,7,4,3] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,5,6,3,2,4,7] => [1,5,6,2,4,7,3] => [3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,5,6,3,2,7,4] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,5,6,3,4,2,7] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,5,6,3,4,7,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,5,6,3,7,2,4] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,5,6,3,7,4,2] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[1,5,6,4,2,3,7] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[1,5,6,4,2,7,3] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,5,6,4,3,2,7] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[1,5,6,4,3,7,2] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[1,5,6,4,7,2,3] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,5,6,4,7,3,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,5,6,7,2,3,4] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,5,6,7,2,4,3] => [1,5,6,7,2,4,3] => [3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,5,6,7,3,2,4] => [1,5,6,7,2,4,3] => [3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,5,6,7,3,4,2] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,5,6,7,4,2,3] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,5,6,7,4,3,2] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[1,5,7,2,3,4,6] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,5,7,2,3,6,4] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,5,7,2,4,3,6] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,5,7,2,4,6,3] => [1,5,7,2,4,6,3] => [3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,5,7,2,6,3,4] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,5,7,2,6,4,3] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,5,7,3,2,4,6] => [1,5,7,2,4,6,3] => [3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,5,7,3,2,6,4] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,5,7,3,4,2,6] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,5,7,3,4,6,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,5,7,3,6,2,4] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,5,7,3,6,4,2] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,5,7,4,2,3,6] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,5,7,4,2,6,3] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,5,7,4,3,2,6] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,5,7,4,3,6,2] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,5,7,4,6,2,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,5,7,4,6,3,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,5,7,6,2,3,4] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,5,7,6,2,4,3] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,5,7,6,3,2,4] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,5,7,6,3,4,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,5,7,6,4,2,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,5,7,6,4,3,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,6,2,3,4,7,5] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,6,2,3,5,4,7] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[1,6,2,3,5,7,4] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,6,2,3,7,4,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,2,3,7,5,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,2,4,3,5,7] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,6,2,4,3,7,5] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,6,2,4,5,3,7] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,6,2,4,5,7,3] => [1,6,2,4,5,7,3] => [3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,6,2,4,7,3,5] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,6,2,4,7,5,3] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,6,2,5,3,4,7] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,2,5,3,7,4] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,6,2,5,4,3,7] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,6,2,5,4,7,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,2,5,7,3,4] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,2,5,7,4,3] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,2,7,3,4,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,7,3,5,4] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,6,2,7,4,3,5] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,6,2,7,4,5,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,7,5,3,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,2,7,5,4,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,2,4,5,7] => [1,6,2,4,5,7,3] => [3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,6,3,2,4,7,5] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,6,3,2,5,4,7] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,3,2,5,7,4] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,3,2,7,4,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,2,7,5,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,4,2,5,7] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,3,4,2,7,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,4,5,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,3,4,5,7,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,6,3,4,7,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,3,4,7,5,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,6,3,5,2,4,7] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,6,3,5,2,7,4] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,6,3,5,4,2,7] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,6,3,5,4,7,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[1,6,3,5,7,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,6,3,5,7,4,2] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,6,3,7,2,4,5] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[1,6,3,7,2,5,4] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,6,3,7,4,2,5] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,6,3,7,4,5,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,3,7,5,2,4] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,6,3,7,5,4,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,4,2,3,5,7] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,6,4,2,3,7,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,4,2,5,3,7] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,6,4,2,5,7,3] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,4,2,7,3,5] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,6,4,2,7,5,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,4,3,2,5,7] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,4,3,2,7,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,4,3,5,2,7] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[1,6,4,3,5,7,2] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,6,4,3,7,2,5] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,6,4,3,7,5,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,4,5,2,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,4,5,2,7,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,4,5,3,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,4,5,3,7,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,4,5,7,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,6,4,5,7,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,6,4,7,2,3,5] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[1,6,4,7,2,5,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,4,7,3,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[1,6,4,7,3,5,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[1,6,4,7,5,2,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,6,4,7,5,3,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,6,5,2,3,4,7] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,6,5,2,3,7,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,5,2,4,3,7] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,6,5,2,4,7,3] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,6,5,2,7,3,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,5,2,7,4,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,5,3,2,4,7] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[1,6,5,3,2,7,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,5,3,4,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,5,3,4,7,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,6,5,3,7,2,4] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,6,5,3,7,4,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,5,4,2,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,5,4,2,7,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,5,4,3,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[1,6,5,4,3,7,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[1,6,5,4,7,2,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,6,5,4,7,3,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[1,6,5,7,2,3,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,6,5,7,2,4,3] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,6,5,7,3,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[1,6,5,7,3,4,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,6,5,7,4,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,6,5,7,4,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,6,7,2,3,4,5] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,6,7,2,3,5,4] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,6,7,2,4,3,5] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,6,7,2,4,5,3] => [1,6,7,2,4,5,3] => [3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,6,7,2,5,3,4] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,7,2,5,4,3] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,7,3,2,4,5] => [1,6,7,2,4,5,3] => [3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,6,7,3,2,5,4] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,7,3,4,2,5] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,7,3,4,5,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,6,7,3,5,2,4] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,6,7,3,5,4,2] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,6,7,4,2,3,5] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,6,7,4,2,5,3] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,7,4,3,2,5] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,6,7,4,3,5,2] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,6,7,4,5,2,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,6,7,4,5,3,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,6,7,5,2,3,4] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,6,7,5,2,4,3] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,6,7,5,3,2,4] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[1,6,7,5,3,4,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,6,7,5,4,2,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,6,7,5,4,3,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,2,3,4,6,5] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,7,2,3,5,4,6] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,7,2,3,5,6,4] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,7,2,3,6,4,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,2,3,6,5,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,2,4,3,5,6] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,7,2,4,3,6,5] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,7,2,4,5,3,6] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,7,2,4,5,6,3] => [1,7,2,4,5,6,3] => [3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,7,2,4,6,3,5] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,7,2,4,6,5,3] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,7,2,5,3,4,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,2,5,3,6,4] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,7,2,5,4,3,6] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,7,2,5,4,6,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,2,5,6,3,4] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,7,2,5,6,4,3] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,7,2,6,3,4,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,2,6,3,5,4] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[1,7,2,6,4,3,5] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[1,7,2,6,4,5,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,2,6,5,3,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,2,6,5,4,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,3,2,4,5,6] => [1,7,2,4,5,6,3] => [3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[1,7,3,2,4,6,5] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,7,3,2,5,4,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,3,2,5,6,4] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,7,3,2,6,4,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,3,2,6,5,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,3,4,2,5,6] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,7,3,4,2,6,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,3,4,5,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,3,4,5,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,3,4,6,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,3,4,6,5,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,7,3,5,2,4,6] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,7,3,5,2,6,4] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[1,7,3,5,4,2,6] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[1,7,3,5,4,6,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,7,3,5,6,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,7,3,5,6,4,2] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,7,3,6,2,4,5] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,7,3,6,2,5,4] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,7,3,6,4,2,5] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,7,3,6,4,5,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,3,6,5,2,4] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,7,3,6,5,4,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,4,2,3,5,6] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,7,4,2,3,6,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,4,2,5,3,6] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,7,4,2,5,6,3] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,7,4,2,6,3,5] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[1,7,4,2,6,5,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,4,3,2,5,6] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[1,7,4,3,2,6,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,4,3,5,2,6] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[1,7,4,3,5,6,2] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[1,7,4,3,6,2,5] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[1,7,4,3,6,5,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,4,5,2,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,4,5,2,6,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,4,5,3,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,4,5,3,6,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,4,5,6,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,4,5,6,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,4,6,2,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,7,4,6,2,5,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,4,6,3,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,4,6,3,5,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,7,4,6,5,2,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,7,4,6,5,3,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,7,5,2,3,4,6] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,7,5,2,3,6,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,5,2,4,3,6] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,7,5,2,4,6,3] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,7,5,2,6,3,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,5,2,6,4,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,5,3,2,4,6] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[1,7,5,3,2,6,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,5,3,4,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,5,3,4,6,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,7,5,3,6,2,4] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[1,7,5,3,6,4,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,5,4,2,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,5,4,2,6,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,5,4,3,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[1,7,5,4,3,6,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[1,7,5,4,6,2,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,7,5,4,6,3,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[1,7,5,6,2,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,5,6,2,4,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,7,5,6,3,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,7,5,6,3,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,5,6,4,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,5,6,4,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,6,2,3,4,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,6,2,3,5,4] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,7,6,2,4,3,5] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,7,6,2,4,5,3] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,7,6,2,5,3,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,6,2,5,4,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,6,3,2,4,5] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[1,7,6,3,2,5,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,6,3,4,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,6,3,4,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,6,3,5,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,7,6,3,5,4,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,7,6,4,2,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,7,6,4,2,5,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,6,4,3,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[1,7,6,4,3,5,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[1,7,6,4,5,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,6,4,5,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,6,5,2,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,6,5,2,4,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,7,6,5,3,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[1,7,6,5,3,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,6,5,4,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[1,7,6,5,4,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,3,4,5,6,7] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => [1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 2
[2,1,3,4,5,7,6] => [1,3,4,5,7,2,6] => [2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[2,1,3,4,6,5,7] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[2,1,3,4,6,7,5] => [1,3,4,6,7,2,5] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[2,1,3,4,7,5,6] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[2,1,3,4,7,6,5] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[2,1,3,5,4,6,7] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[2,1,3,5,4,7,6] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[2,1,3,5,6,4,7] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[2,1,3,5,6,7,4] => [1,3,5,6,7,2,4] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[2,1,3,5,7,4,6] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[2,1,3,5,7,6,4] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[2,1,3,6,4,5,7] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[2,1,3,6,4,7,5] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[2,1,3,6,5,4,7] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[2,1,3,6,5,7,4] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[2,1,3,6,7,4,5] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[2,1,3,6,7,5,4] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[2,1,3,7,4,5,6] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[2,1,3,7,4,6,5] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,3,7,5,4,6] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,3,7,5,6,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[2,1,3,7,6,4,5] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[2,1,3,7,6,5,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[2,1,4,3,5,6,7] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[2,1,4,3,5,7,6] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,1,4,3,6,5,7] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[2,1,4,3,6,7,5] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,4,3,7,5,6] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,1,4,3,7,6,5] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,1,4,5,3,6,7] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[2,1,4,5,3,7,6] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,1,4,5,6,3,7] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[2,1,4,5,6,7,3] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,1,4,5,7,3,6] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[2,1,4,5,7,6,3] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[2,1,4,6,3,5,7] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[2,1,4,6,3,7,5] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[2,1,4,6,5,3,7] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[2,1,4,6,5,7,3] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[2,1,4,6,7,3,5] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[2,1,4,6,7,5,3] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[2,1,4,7,3,5,6] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,1,4,7,3,6,5] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,1,4,7,5,3,6] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,1,4,7,5,6,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,1,4,7,6,3,5] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,1,4,7,6,5,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,1,5,3,4,6,7] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[2,1,5,3,4,7,6] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,1,5,3,6,4,7] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[2,1,5,3,6,7,4] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,1,5,3,7,4,6] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,1,5,3,7,6,4] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,1,5,4,3,6,7] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,1,5,4,3,7,6] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,1,5,4,6,3,7] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,1,5,4,6,7,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[2,1,5,4,7,3,6] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[2,1,5,4,7,6,3] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,1,5,6,3,4,7] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[2,1,5,6,3,7,4] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[2,1,5,6,4,3,7] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[2,1,5,6,4,7,3] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[2,1,5,6,7,3,4] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[2,1,5,6,7,4,3] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[2,1,5,7,3,4,6] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[2,1,5,7,3,6,4] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,1,5,7,4,3,6] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,1,5,7,4,6,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[2,1,5,7,6,3,4] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[2,1,5,7,6,4,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[2,1,6,3,4,5,7] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,1,6,3,4,7,5] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,1,6,3,5,4,7] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[2,1,6,3,5,7,4] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,1,6,3,7,4,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,6,3,7,5,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,6,4,3,5,7] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,1,6,4,3,7,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,6,4,5,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,6,4,5,7,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,1,6,4,7,3,5] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[2,1,6,4,7,5,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,1,6,5,3,4,7] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,1,6,5,3,7,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,6,5,4,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,1,6,5,4,7,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,1,6,5,7,3,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,1,6,5,7,4,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,1,6,7,3,4,5] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[2,1,6,7,3,5,4] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,1,6,7,4,3,5] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,1,6,7,4,5,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[2,1,6,7,5,3,4] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[2,1,6,7,5,4,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[2,1,7,3,4,5,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,7,3,4,6,5] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[2,1,7,3,5,4,6] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,1,7,3,5,6,4] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,1,7,3,6,4,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,1,7,3,6,5,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,1,7,4,3,5,6] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,1,7,4,3,6,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,1,7,4,5,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,1,7,4,5,6,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,7,4,6,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,1,7,4,6,5,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[2,1,7,5,3,4,6] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[2,1,7,5,3,6,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,1,7,5,4,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,1,7,5,4,6,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[2,1,7,5,6,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,7,5,6,4,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,7,6,3,4,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,7,6,3,5,4] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,1,7,6,4,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,1,7,6,4,5,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,7,6,5,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,1,7,6,5,4,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[2,3,1,4,6,5,7] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[2,3,1,4,6,7,5] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[2,3,1,4,7,5,6] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,3,1,4,7,6,5] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,3,1,5,4,6,7] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[2,3,1,5,4,7,6] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,1,5,6,4,7] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[2,3,1,5,6,7,4] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[2,3,1,5,7,4,6] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[2,3,1,5,7,6,4] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[2,3,1,6,4,5,7] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,3,1,6,4,7,5] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,3,1,6,5,4,7] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,3,1,6,5,7,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,3,1,6,7,4,5] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[2,3,1,6,7,5,4] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[2,3,1,7,4,5,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,3,1,7,4,6,5] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[2,3,1,7,5,4,6] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[2,3,1,7,5,6,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,3,1,7,6,4,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,3,1,7,6,5,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,3,4,1,5,6,7] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[2,3,4,1,5,7,6] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[2,3,4,1,6,5,7] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,3,4,1,6,7,5] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[2,3,4,1,7,5,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,3,4,1,7,6,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,3,4,5,1,6,7] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[2,3,4,5,1,7,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,3,4,5,6,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[2,3,4,5,7,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[2,3,4,6,1,5,7] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[2,3,4,6,1,7,5] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[2,3,4,6,5,1,7] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[2,3,4,6,7,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[2,3,4,7,1,5,6] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[2,3,4,7,1,6,5] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,3,4,7,5,1,6] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[2,3,4,7,6,1,5] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[2,3,5,1,4,6,7] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[2,3,5,1,4,7,6] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,3,5,1,6,4,7] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[2,3,5,1,6,7,4] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,5,1,7,4,6] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,5,1,7,6,4] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,5,4,1,6,7] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,5,4,1,7,6] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,5,4,6,1,7] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[2,3,5,4,7,1,6] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[2,3,5,6,1,4,7] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[2,3,5,6,1,7,4] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,5,6,4,1,7] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[2,3,5,7,1,6,4] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,5,7,4,1,6] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[2,3,6,1,4,7,5] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,3,6,1,5,4,7] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[2,3,6,1,5,7,4] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,6,1,7,4,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,6,1,7,5,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,6,4,1,5,7] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[2,3,6,4,1,7,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,6,4,5,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[2,3,6,4,7,1,5] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[2,3,6,5,1,4,7] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[2,3,6,5,1,7,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,6,5,4,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[2,3,6,7,1,5,4] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,3,6,7,4,1,5] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[2,3,7,1,5,4,6] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,7,1,5,6,4] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[2,3,7,1,6,4,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,7,1,6,5,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,7,4,1,5,6] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[2,3,7,4,1,6,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,7,4,5,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[2,3,7,4,6,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[2,3,7,5,1,6,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,7,5,4,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,3,7,6,1,5,4] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,7,6,4,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[2,4,1,3,5,6,7] => [1,3,5,6,7,2,4] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[2,4,1,3,6,7,5] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[2,4,1,3,7,5,6] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[2,4,1,3,7,6,5] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[2,4,1,5,3,6,7] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[2,4,1,5,3,7,6] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[2,4,1,5,6,3,7] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[2,4,1,5,6,7,3] => [1,5,6,7,2,4,3] => [3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,1,5,7,3,6] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,4,1,5,7,6,3] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,4,1,6,3,5,7] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[2,4,1,6,3,7,5] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[2,4,1,6,5,3,7] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[2,4,1,6,5,7,3] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[2,4,1,6,7,3,5] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[2,4,1,6,7,5,3] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[2,4,1,7,3,5,6] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,1,7,3,6,5] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[2,4,1,7,5,3,6] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[2,4,1,7,5,6,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,1,7,6,3,5] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,1,7,6,5,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,3,1,5,6,7] => [1,5,6,7,2,4,3] => [3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,3,1,5,7,6] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,4,3,1,6,5,7] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[2,4,3,1,6,7,5] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[2,4,3,1,7,5,6] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,3,1,7,6,5] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,3,5,1,6,7] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[2,4,3,5,1,7,6] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,3,5,6,1,7] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[2,4,3,5,7,1,6] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[2,4,3,6,1,5,7] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,4,3,6,1,7,5] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[2,4,3,6,5,1,7] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[2,4,3,6,7,1,5] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[2,4,3,7,1,5,6] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[2,4,3,7,1,6,5] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[2,4,3,7,5,1,6] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[2,4,3,7,6,1,5] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[2,4,5,1,6,3,7] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[2,4,5,1,6,7,3] => [1,6,7,2,4,5,3] => [3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,5,1,7,3,6] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,4,5,1,7,6,3] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,4,5,3,1,6,7] => [1,6,7,2,4,5,3] => [3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,5,3,1,7,6] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,4,5,3,6,1,7] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[2,4,5,3,7,1,6] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[2,4,5,6,1,7,3] => [1,7,2,4,5,6,3] => [3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,5,6,3,1,7] => [1,7,2,4,5,6,3] => [3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => [2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[2,4,5,7,1,6,3] => [1,6,2,4,5,7,3] => [3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,5,7,3,1,6] => [1,6,2,4,5,7,3] => [3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,4,6,1,5,3,7] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[2,4,6,1,5,7,3] => [1,5,7,2,4,6,3] => [3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,6,1,7,3,5] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[2,4,6,1,7,5,3] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[2,4,6,3,1,5,7] => [1,5,7,2,4,6,3] => [3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,6,3,1,7,5] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[2,4,6,3,5,1,7] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[2,4,6,3,7,1,5] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,4,6,5,1,7,3] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[2,4,6,5,3,1,7] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[2,4,6,7,1,5,3] => [1,5,2,4,6,7,3] => [3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,6,7,3,1,5] => [1,5,2,4,6,7,3] => [3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[2,4,7,1,5,3,6] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,4,7,1,5,6,3] => [1,5,6,2,4,7,3] => [3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,7,1,6,3,5] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,4,7,1,6,5,3] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,4,7,3,1,5,6] => [1,5,6,2,4,7,3] => [3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,4,7,3,1,6,5] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,4,7,3,5,1,6] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,4,7,3,6,1,5] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[2,4,7,5,1,6,3] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,4,7,5,3,1,6] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[2,4,7,6,1,5,3] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,4,7,6,3,1,5] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[2,5,1,3,4,6,7] => [1,3,4,6,7,2,5] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[2,5,1,3,4,7,6] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => [3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[2,5,1,4,3,6,7] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[2,5,1,4,3,7,6] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[2,5,1,4,6,7,3] => [1,4,6,7,2,5,3] => [3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,5,1,4,7,3,6] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,5,1,4,7,6,3] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,5,1,6,3,4,7] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,1,6,3,7,4] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,1,6,4,3,7] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,1,6,4,7,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,1,6,7,3,4] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,1,6,7,4,3] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,1,7,3,4,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,1,7,3,6,4] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,1,7,4,3,6] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,1,7,4,6,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,1,7,6,3,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,1,7,6,4,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,3,1,4,6,7] => [1,4,6,7,2,5,3] => [3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,5,3,1,4,7,6] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,5,3,1,6,4,7] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,3,1,6,7,4] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,3,1,7,4,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,3,1,7,6,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,3,4,1,6,7] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,3,4,1,7,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,3,4,6,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[2,5,3,4,7,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[2,5,3,6,1,4,7] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[2,5,3,6,1,7,4] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,3,6,4,1,7] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[2,5,3,7,1,6,4] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,3,7,4,1,6] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => [3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[2,5,4,1,6,3,7] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,4,1,6,7,3] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,4,1,7,3,6] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,4,1,7,6,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,4,3,1,6,7] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,4,3,1,7,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,4,3,6,1,7] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[2,5,4,3,7,1,6] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[2,5,4,6,1,7,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,4,6,3,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[2,5,4,7,1,6,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,4,7,3,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => [3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[2,5,6,1,4,7,3] => [1,4,7,2,5,6,3] => [3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,5,6,1,7,3,4] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,6,1,7,4,3] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,6,3,1,4,7] => [1,4,7,2,5,6,3] => [3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,5,6,3,1,7,4] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,6,3,4,1,7] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => [3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,5,6,4,1,7,3] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,6,4,3,1,7] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3
[2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3
[2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => [3,4,2,7,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => [3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => [3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,5,7,1,6,3,4] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,7,1,6,4,3] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => [3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,5,7,3,1,6,4] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,7,3,4,1,6] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => [3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,5,7,4,1,6,3] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,7,4,3,1,6] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,6,1,3,4,5,7] => [1,3,4,5,7,2,6] => [2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => [3,2,5,6,7,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[2,6,1,3,5,4,7] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => [3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,6,1,4,3,5,7] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[2,6,1,4,3,7,5] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[2,6,1,4,5,3,7] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => [3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,6,1,4,7,3,5] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,6,1,4,7,5,3] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,6,1,5,3,4,7] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,1,5,3,7,4] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[2,6,1,5,4,3,7] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[2,6,1,5,4,7,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,1,5,7,3,4] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,6,1,5,7,4,3] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,6,1,7,3,4,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,1,7,3,5,4] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[2,6,1,7,4,3,5] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[2,6,1,7,4,5,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,1,7,5,3,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,1,7,5,4,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => [3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[2,6,3,1,4,7,5] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,6,3,1,5,4,7] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,3,1,5,7,4] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,6,3,1,7,4,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,3,1,7,5,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,3,4,1,5,7] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,6,3,4,1,7,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,3,4,5,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,6,3,4,7,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[2,6,3,5,1,4,7] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,6,3,5,1,7,4] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[2,6,3,5,4,1,7] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[2,6,3,7,1,5,4] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[2,6,3,7,4,1,5] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => [3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,6,4,1,5,3,7] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[2,6,4,1,5,7,3] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,6,4,1,7,3,5] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[2,6,4,1,7,5,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,4,3,1,5,7] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[2,6,4,3,1,7,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,4,3,5,1,7] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,4,3,7,1,5] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,6,4,5,1,7,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,4,5,3,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[2,6,4,7,1,5,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,4,7,3,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => [3,2,5,6,7,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,6,5,1,4,3,7] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[2,6,5,1,4,7,3] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,6,5,1,7,3,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,5,1,7,4,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,5,3,1,4,7] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[2,6,5,3,1,7,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,5,3,4,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[2,6,5,4,1,7,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,5,4,3,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => [3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3
[2,6,7,1,5,3,4] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,7,1,5,4,3] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3
[2,6,7,3,1,5,4] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,7,3,4,1,5] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => [3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[2,6,7,4,1,5,3] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,7,4,3,1,5] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => [3,5,2,4,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,7,1,3,4,5,6] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[2,7,1,3,4,6,5] => [1,3,4,6,2,7,5] => [3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[2,7,1,3,5,4,6] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,1,3,5,6,4] => [1,3,5,6,2,7,4] => [3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[2,7,1,3,6,4,5] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,1,3,6,5,4] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,1,4,3,5,6] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,1,4,3,6,5] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[2,7,1,4,5,3,6] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,1,4,5,6,3] => [1,4,5,6,2,7,3] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3
[2,7,1,4,6,3,5] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,1,4,6,5,3] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,1,5,3,4,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,1,5,3,6,4] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,1,5,4,3,6] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,1,5,4,6,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,1,5,6,3,4] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[2,7,1,5,6,4,3] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[2,7,1,6,3,4,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,1,6,3,5,4] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,1,6,4,3,5] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,1,6,4,5,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,1,6,5,3,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,1,6,5,4,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,3,1,4,5,6] => [1,4,5,6,2,7,3] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3
[2,7,3,1,4,6,5] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,3,1,5,4,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,3,1,5,6,4] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[2,7,3,1,6,4,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,3,1,6,5,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,3,4,1,5,6] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[2,7,3,4,1,6,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,3,4,5,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,7,3,4,6,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[2,7,3,5,1,4,6] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,3,5,1,6,4] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,3,5,4,1,6] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[2,7,3,5,6,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,7,3,6,1,4,5] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,3,6,1,5,4] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,3,6,4,1,5] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,3,6,5,1,4] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,4,1,3,5,6] => [1,3,5,6,2,7,4] => [3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[2,7,4,1,3,6,5] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,4,1,5,3,6] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,4,1,5,6,3] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[2,7,4,1,6,3,5] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,4,1,6,5,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,4,3,1,5,6] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[2,7,4,3,1,6,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,4,3,5,1,6] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[2,7,4,3,6,1,5] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,4,5,1,3,6] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,4,5,1,6,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,4,5,3,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,7,4,6,1,3,5] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,4,6,1,5,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,4,6,3,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[2,7,5,1,3,4,6] => [1,3,4,6,2,7,5] => [3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[2,7,5,1,3,6,4] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,5,1,4,3,6] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[2,7,5,1,4,6,3] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,5,1,6,3,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,5,1,6,4,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,5,3,1,4,6] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,5,3,1,6,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,5,3,4,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[2,7,5,3,6,1,4] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,5,4,1,3,6] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[2,7,5,4,1,6,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,5,4,3,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[2,7,5,6,1,3,4] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[2,7,5,6,1,4,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,5,6,3,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,7,6,1,3,4,5] => [1,3,4,5,2,7,6] => [3,6,2,4,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3
[2,7,6,1,3,5,4] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,6,1,4,3,5] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,6,1,4,5,3] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,6,1,5,3,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,6,1,5,4,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,6,3,1,4,5] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,6,3,1,5,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,6,3,4,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,7,6,3,5,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[2,7,6,4,1,3,5] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[2,7,6,4,1,5,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,6,4,3,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,7,6,5,1,3,4] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[2,7,6,5,1,4,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,6,5,3,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,1,2,4,5,6,7] => [1,2,4,5,6,7,3] => [2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[3,1,2,4,5,7,6] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[3,1,2,4,6,5,7] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[3,1,2,4,6,7,5] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[3,1,2,4,7,5,6] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[3,1,2,4,7,6,5] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[3,1,2,5,4,6,7] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[3,1,2,5,4,7,6] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,1,2,5,6,4,7] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[3,1,2,5,6,7,4] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,1,2,5,7,4,6] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,1,2,5,7,6,4] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,1,2,6,4,5,7] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,1,2,6,4,7,5] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,1,2,6,5,4,7] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,1,2,6,5,7,4] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,1,2,6,7,4,5] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,1,2,6,7,5,4] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,1,2,7,4,5,6] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,1,2,7,4,6,5] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,1,2,7,5,4,6] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,1,2,7,5,6,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,1,2,7,6,4,5] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,1,2,7,6,5,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,1,4,2,5,6,7] => [1,4,2,5,6,7,3] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3
[3,1,4,2,5,7,6] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[3,1,4,2,6,5,7] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[3,1,4,2,6,7,5] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,1,4,2,7,5,6] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,4,2,7,6,5] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,1,4,5,2,6,7] => [1,4,5,2,6,7,3] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3
[3,1,4,5,2,7,6] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[3,1,4,5,6,2,7] => [1,4,5,6,2,7,3] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3
[3,1,4,5,6,7,2] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[3,1,4,5,7,2,6] => [1,4,5,7,2,6,3] => [3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,4,5,7,6,2] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[3,1,4,6,2,5,7] => [1,4,6,2,5,7,3] => [3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,4,6,2,7,5] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[3,1,4,6,5,2,7] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[3,1,4,6,5,7,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[3,1,4,6,7,2,5] => [1,4,6,7,2,5,3] => [3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,4,6,7,5,2] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[3,1,4,7,2,5,6] => [1,4,7,2,5,6,3] => [3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,4,7,2,6,5] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,1,4,7,5,2,6] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,1,4,7,5,6,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,1,4,7,6,2,5] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,1,4,7,6,5,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,1,5,2,4,6,7] => [1,5,2,4,6,7,3] => [3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,5,2,4,7,6] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,5,2,6,4,7] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,1,5,2,6,7,4] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,1,5,2,7,4,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,1,5,2,7,6,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,1,5,4,2,6,7] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,1,5,4,2,7,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,1,5,4,6,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,1,5,4,6,7,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[3,1,5,4,7,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,1,5,4,7,6,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,1,5,6,2,4,7] => [1,5,6,2,4,7,3] => [3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,5,6,2,7,4] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[3,1,5,6,4,2,7] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[3,1,5,6,4,7,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[3,1,5,6,7,2,4] => [1,5,6,7,2,4,3] => [3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,5,6,7,4,2] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[3,1,5,7,2,4,6] => [1,5,7,2,4,6,3] => [3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,5,7,2,6,4] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,5,7,4,2,6] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,5,7,4,6,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[3,1,5,7,6,2,4] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,1,5,7,6,4,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[3,1,6,2,4,5,7] => [1,6,2,4,5,7,3] => [3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,6,2,4,7,5] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,1,6,2,5,4,7] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[3,1,6,2,5,7,4] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,6,2,7,4,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,6,2,7,5,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,6,4,2,5,7] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,6,4,2,7,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,6,4,5,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,6,4,5,7,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[3,1,6,4,7,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[3,1,6,4,7,5,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,1,6,5,2,4,7] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,1,6,5,2,7,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,6,5,4,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,1,6,5,4,7,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,1,6,5,7,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[3,1,6,5,7,4,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[3,1,6,7,2,4,5] => [1,6,7,2,4,5,3] => [3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,6,7,2,5,4] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,6,7,4,2,5] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,6,7,4,5,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[3,1,6,7,5,2,4] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[3,1,6,7,5,4,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[3,1,7,2,4,5,6] => [1,7,2,4,5,6,3] => [3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,1,7,2,4,6,5] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[3,1,7,2,5,4,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,7,2,5,6,4] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,7,2,6,4,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,1,7,2,6,5,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,1,7,4,2,5,6] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,1,7,4,2,6,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,1,7,4,5,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,1,7,4,5,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,1,7,4,6,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,7,4,6,5,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[3,1,7,5,2,4,6] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[3,1,7,5,2,6,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,1,7,5,4,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,1,7,5,4,6,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[3,1,7,5,6,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,1,7,5,6,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,1,7,6,2,4,5] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,1,7,6,2,5,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,7,6,4,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,1,7,6,4,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,1,7,6,5,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,1,7,6,5,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,2,1,4,5,6,7] => [1,4,5,6,7,2,3] => [2,1,7,3,4,5,6] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 2
[3,2,1,4,5,7,6] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[3,2,1,4,6,5,7] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[3,2,1,4,6,7,5] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[3,2,1,4,7,5,6] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,2,1,4,7,6,5] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,2,1,5,4,6,7] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[3,2,1,5,4,7,6] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,2,1,5,6,4,7] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[3,2,1,5,6,7,4] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[3,2,1,5,7,4,6] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[3,2,1,5,7,6,4] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[3,2,1,6,4,5,7] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[3,2,1,6,4,7,5] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,2,1,6,5,4,7] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,2,1,6,5,7,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[3,2,1,6,7,4,5] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[3,2,1,6,7,5,4] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[3,2,1,7,4,5,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,2,1,7,4,6,5] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[3,2,1,7,5,4,6] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[3,2,1,7,5,6,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,2,1,7,6,4,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,2,1,7,6,5,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,2,4,1,5,6,7] => [1,5,6,7,2,4,3] => [3,2,7,6,1,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,4,1,5,7,6] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,2,4,1,6,5,7] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[3,2,4,1,6,7,5] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[3,2,4,1,7,5,6] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,2,4,1,7,6,5] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,2,4,5,1,6,7] => [1,6,7,2,4,5,3] => [3,2,7,1,6,4,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,4,5,1,7,6] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,2,4,5,6,1,7] => [1,7,2,4,5,6,3] => [3,2,7,1,4,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,4,5,6,7,1] => [1,2,4,5,6,7,3] => [2,3,7,1,4,5,6] => [1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 2
[3,2,4,5,7,1,6] => [1,6,2,4,5,7,3] => [3,2,7,1,5,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,4,5,7,6,1] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[3,2,4,6,1,5,7] => [1,5,7,2,4,6,3] => [3,2,7,1,5,6,4] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,4,6,1,7,5] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[3,2,4,6,5,1,7] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[3,2,4,6,5,7,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[3,2,4,6,7,1,5] => [1,5,2,4,6,7,3] => [3,2,7,4,1,5,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,4,6,7,5,1] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[3,2,4,7,1,5,6] => [1,5,6,2,4,7,3] => [3,2,7,5,1,4,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,4,7,1,6,5] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,2,4,7,5,1,6] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,2,4,7,5,6,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[3,2,4,7,6,1,5] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,2,4,7,6,5,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[3,2,5,1,4,6,7] => [1,4,6,7,2,5,3] => [3,2,7,4,6,1,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,5,1,4,7,6] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,2,5,1,6,4,7] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[3,2,5,1,6,7,4] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,2,5,1,7,4,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,2,5,1,7,6,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,2,5,4,1,6,7] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,2,5,4,1,7,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,2,5,4,6,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,2,5,4,6,7,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[3,2,5,4,7,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[3,2,5,4,7,6,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,2,5,6,1,4,7] => [1,4,7,2,5,6,3] => [3,2,7,4,1,6,5] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,5,6,1,7,4] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,2,5,6,4,1,7] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,2,5,6,4,7,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[3,2,5,6,7,1,4] => [1,4,2,5,6,7,3] => [3,4,7,1,2,5,6] => [1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 3
[3,2,5,6,7,4,1] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,2,5,7,1,4,6] => [1,4,6,2,5,7,3] => [3,2,7,4,5,1,6] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,5,7,1,6,4] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,2,5,7,4,1,6] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,2,5,7,4,6,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,2,5,7,6,1,4] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[3,2,5,7,6,4,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,2,6,1,4,5,7] => [1,4,5,7,2,6,3] => [3,2,7,4,5,6,1] => [1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 3
[3,2,6,1,4,7,5] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,2,6,1,5,4,7] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,2,6,1,5,7,4] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,2,6,1,7,4,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,2,6,1,7,5,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,2,6,4,1,5,7] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,2,6,4,1,7,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,2,6,4,5,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,2,6,4,5,7,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,2,6,4,7,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,2,6,4,7,5,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,2,6,5,1,4,7] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,2,6,5,1,7,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,2,6,5,4,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,2,6,5,4,7,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,2,6,5,7,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[3,2,6,5,7,4,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,2,6,7,1,4,5] => [1,4,5,2,6,7,3] => [3,5,7,1,2,4,6] => [1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 3
[3,2,6,7,1,5,4] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,2,6,7,4,1,5] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,2,6,7,4,5,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,2,6,7,5,1,4] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,2,6,7,5,4,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,2,7,1,4,5,6] => [1,4,5,6,2,7,3] => [3,6,7,1,2,4,5] => [1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 3
[3,2,7,1,4,6,5] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[3,2,7,1,5,4,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,2,7,1,5,6,4] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[3,2,7,1,6,4,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,7,1,6,5,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,7,4,1,5,6] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[3,2,7,4,1,6,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,7,4,5,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,7,4,5,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,2,7,4,6,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,2,7,4,6,5,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,2,7,5,1,4,6] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[3,2,7,5,1,6,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,7,5,4,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,2,7,5,4,6,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,2,7,5,6,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,2,7,5,6,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,2,7,6,1,4,5] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[3,2,7,6,1,5,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,2,7,6,4,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,2,7,6,4,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,2,7,6,5,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,2,7,6,5,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,1,2,5,6,7] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,2,5,7,6] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,4,1,2,6,5,7] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,4,1,2,6,7,5] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,4,1,2,7,5,6] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,1,2,7,6,5] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,1,5,2,6,7] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,4,1,5,2,7,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,4,1,5,6,2,7] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[3,4,1,5,6,7,2] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[3,4,1,5,7,2,6] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,4,1,5,7,6,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[3,4,1,6,2,5,7] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,4,1,6,2,7,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,6,5,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,1,6,5,7,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[3,4,1,6,7,2,5] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,4,1,6,7,5,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[3,4,1,7,2,5,6] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,4,1,7,2,6,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,4,1,7,5,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,4,1,7,5,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,4,1,7,6,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,4,1,7,6,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,4,2,1,5,6,7] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[3,4,2,1,5,7,6] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[3,4,2,1,6,5,7] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[3,4,2,1,6,7,5] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[3,4,2,1,7,5,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,4,2,1,7,6,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,4,2,5,1,6,7] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,4,2,5,1,7,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,4,2,5,6,1,7] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,4,2,5,6,7,1] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[3,4,2,5,7,1,6] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,4,2,5,7,6,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,4,2,6,1,5,7] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[3,4,2,6,1,7,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,4,2,6,5,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,4,2,6,5,7,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,4,2,6,7,1,5] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,4,2,6,7,5,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,4,2,7,1,5,6] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[3,4,2,7,1,6,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,2,7,5,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,2,7,5,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,2,7,6,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,4,2,7,6,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,1,2,6,7] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,4,5,1,2,7,6] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,1,6,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,5,1,6,7,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[3,4,5,1,7,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,4,5,1,7,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,2,1,6,7] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[3,4,5,2,1,7,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,2,6,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[3,4,5,2,6,7,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[3,4,5,2,7,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,4,5,2,7,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,6,1,2,7] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,6,1,7,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,6,2,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,6,2,7,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[3,4,5,6,7,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[3,4,5,6,7,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[3,4,5,7,1,2,6] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,4,5,7,1,6,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[3,4,5,7,2,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[3,4,5,7,2,6,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[3,4,5,7,6,1,2] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[3,4,5,7,6,2,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[3,4,6,1,2,5,7] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,4,6,1,2,7,5] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,4,6,1,5,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,4,6,1,5,7,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[3,4,6,1,7,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,4,6,1,7,5,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[3,4,6,2,1,5,7] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[3,4,6,2,1,7,5] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[3,4,6,2,5,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,4,6,2,5,7,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[3,4,6,2,7,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[3,4,6,2,7,5,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,4,6,5,1,2,7] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,4,6,5,1,7,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[3,4,6,5,2,1,7] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[3,4,6,5,2,7,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,4,6,5,7,1,2] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[3,4,6,5,7,2,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[3,4,6,7,1,2,5] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[3,4,6,7,1,5,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[3,4,6,7,2,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[3,4,6,7,2,5,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[3,4,6,7,5,1,2] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[3,4,6,7,5,2,1] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[3,4,7,1,2,5,6] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[3,4,7,1,2,6,5] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,4,7,1,5,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,4,7,1,5,6,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[3,4,7,1,6,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[3,4,7,1,6,5,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,4,7,2,1,5,6] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[3,4,7,2,1,6,5] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,4,7,2,5,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[3,4,7,2,5,6,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[3,4,7,2,6,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,4,7,2,6,5,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,4,7,5,1,2,6] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,4,7,5,1,6,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,4,7,5,2,1,6] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,4,7,5,2,6,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,4,7,5,6,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[3,4,7,5,6,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[3,4,7,6,1,2,5] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,4,7,6,1,5,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,4,7,6,2,1,5] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,4,7,6,2,5,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,4,7,6,5,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[3,4,7,6,5,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[3,5,1,2,4,6,7] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[3,5,1,2,4,7,6] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[3,5,1,2,6,4,7] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,1,2,6,7,4] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,1,2,7,4,6] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,1,2,7,6,4] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,1,4,2,6,7] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,5,1,4,2,7,6] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,1,4,6,2,7] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[3,5,1,4,6,7,2] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[3,5,1,4,7,2,6] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,5,1,4,7,6,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,5,1,6,2,4,7] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,5,1,6,2,7,4] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,5,1,6,4,2,7] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,5,1,6,4,7,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[3,5,1,6,7,2,4] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[3,5,1,6,7,4,2] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,1,7,2,4,6] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[3,5,1,7,2,6,4] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[3,5,1,7,4,2,6] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[3,5,1,7,4,6,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,5,1,7,6,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,5,1,7,6,4,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,5,2,1,4,6,7] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[3,5,2,1,4,7,6] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,5,2,1,6,4,7] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[3,5,2,1,6,7,4] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,2,1,7,4,6] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,5,2,1,7,6,4] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,5,2,4,1,6,7] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[3,5,2,4,1,7,6] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,5,2,4,6,1,7] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[3,5,2,4,6,7,1] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[3,5,2,4,7,1,6] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,5,2,4,7,6,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[3,5,2,6,1,4,7] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[3,5,2,6,1,7,4] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[3,5,2,6,4,1,7] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[3,5,2,6,4,7,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,2,6,7,1,4] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[3,5,2,6,7,4,1] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,2,7,1,4,6] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[3,5,2,7,1,6,4] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,5,2,7,4,1,6] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,5,2,7,4,6,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,2,7,6,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,2,7,6,4,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,4,1,2,6,7] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,4,1,2,7,6] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,4,1,6,2,7] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,5,4,1,6,7,2] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,4,1,7,2,6] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[3,5,4,1,7,6,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,5,4,2,1,6,7] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,4,2,1,7,6] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,5,4,2,6,1,7] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[3,5,4,2,6,7,1] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,4,2,7,1,6] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,5,4,2,7,6,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,4,6,1,2,7] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,4,6,1,7,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,5,4,6,2,1,7] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[3,5,4,6,2,7,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[3,5,4,6,7,1,2] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,5,4,6,7,2,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[3,5,4,7,1,2,6] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,4,7,1,6,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[3,5,4,7,2,1,6] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[3,5,4,7,2,6,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[3,5,4,7,6,1,2] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[3,5,4,7,6,2,1] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[3,5,6,1,2,4,7] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[3,5,6,1,2,7,4] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,6,1,4,2,7] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,6,1,4,7,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,5,6,1,7,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,5,6,1,7,4,2] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,6,2,1,4,7] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[3,5,6,2,1,7,4] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,6,2,4,1,7] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,5,6,2,4,7,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[3,5,6,2,7,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[3,5,6,2,7,4,1] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,6,4,1,2,7] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,6,4,1,7,2] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,6,4,2,1,7] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,6,4,2,7,1] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,6,4,7,1,2] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[3,5,6,4,7,2,1] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[3,5,6,7,1,2,4] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[3,5,6,7,1,4,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[3,5,6,7,2,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[3,5,6,7,2,4,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[3,5,6,7,4,1,2] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[3,5,6,7,4,2,1] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[3,5,7,1,2,4,6] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[3,5,7,1,2,6,4] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,7,1,4,2,6] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[3,5,7,1,4,6,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[3,5,7,1,6,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[3,5,7,1,6,4,2] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,7,2,1,4,6] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[3,5,7,2,1,6,4] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,7,2,4,1,6] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[3,5,7,2,4,6,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[3,5,7,2,6,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[3,5,7,2,6,4,1] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,7,4,1,2,6] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,7,4,1,6,2] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,7,4,2,1,6] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,5,7,4,2,6,1] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,5,7,4,6,1,2] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[3,5,7,4,6,2,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[3,5,7,6,1,2,4] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,5,7,6,1,4,2] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,5,7,6,2,1,4] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,5,7,6,2,4,1] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,5,7,6,4,1,2] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[3,5,7,6,4,2,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[3,6,1,2,4,5,7] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[3,6,1,2,4,7,5] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,6,1,2,5,4,7] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[3,6,1,2,5,7,4] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,6,1,2,7,4,5] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,1,2,7,5,4] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,1,4,2,5,7] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[3,6,1,4,2,7,5] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[3,6,1,4,5,2,7] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[3,6,1,4,5,7,2] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[3,6,1,4,7,2,5] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,6,1,4,7,5,2] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,6,1,5,2,4,7] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,6,1,5,2,7,4] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,6,1,5,4,2,7] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,6,1,5,4,7,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[3,6,1,5,7,2,4] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,6,1,5,7,4,2] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,6,1,7,2,4,5] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,6,1,7,2,5,4] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,6,1,7,4,2,5] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,6,1,7,4,5,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,1,7,5,2,4] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[3,6,1,7,5,4,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,2,1,4,5,7] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[3,6,2,1,4,7,5] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,6,2,1,5,4,7] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[3,6,2,1,5,7,4] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,6,2,1,7,4,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,2,1,7,5,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,2,4,1,5,7] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,6,2,4,1,7,5] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[3,6,2,4,5,1,7] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,6,2,4,5,7,1] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[3,6,2,4,7,1,5] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[3,6,2,4,7,5,1] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,6,2,5,1,4,7] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,6,2,5,1,7,4] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,6,2,5,4,1,7] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,6,2,5,4,7,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[3,6,2,5,7,1,4] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[3,6,2,5,7,4,1] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,6,2,7,1,4,5] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[3,6,2,7,1,5,4] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,6,2,7,4,1,5] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,6,2,7,4,5,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,2,7,5,1,4] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[3,6,2,7,5,4,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,4,1,2,5,7] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,6,4,1,2,7,5] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,4,1,5,2,7] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,6,4,1,5,7,2] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,6,4,1,7,2,5] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,6,4,1,7,5,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,4,2,1,5,7] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[3,6,4,2,1,7,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,4,2,5,1,7] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,6,4,2,5,7,1] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[3,6,4,2,7,1,5] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[3,6,4,2,7,5,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,4,5,1,2,7] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,4,5,1,7,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,4,5,2,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,4,5,2,7,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,4,5,7,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,6,4,5,7,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,6,4,7,1,2,5] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[3,6,4,7,1,5,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[3,6,4,7,2,1,5] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[3,6,4,7,2,5,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[3,6,4,7,5,1,2] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[3,6,4,7,5,2,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[3,6,5,1,2,4,7] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,6,5,1,2,7,4] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,5,1,4,2,7] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[3,6,5,1,4,7,2] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,6,5,1,7,2,4] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[3,6,5,1,7,4,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,5,2,1,4,7] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[3,6,5,2,1,7,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,5,2,4,1,7] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[3,6,5,2,4,7,1] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[3,6,5,2,7,1,4] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[3,6,5,2,7,4,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,5,4,1,2,7] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,5,4,1,7,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,5,4,2,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[3,6,5,4,2,7,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[3,6,5,4,7,1,2] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[3,6,5,4,7,2,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[3,6,5,7,1,2,4] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[3,6,5,7,1,4,2] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[3,6,5,7,2,1,4] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[3,6,5,7,2,4,1] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[3,6,5,7,4,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,6,5,7,4,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[3,6,7,1,2,4,5] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[3,6,7,1,2,5,4] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[3,6,7,1,4,2,5] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[3,6,7,1,4,5,2] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[3,6,7,1,5,2,4] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[3,6,7,1,5,4,2] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[3,6,7,2,1,4,5] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[3,6,7,2,1,5,4] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[3,6,7,2,4,1,5] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[3,6,7,2,4,5,1] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[3,6,7,2,5,1,4] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[3,6,7,2,5,4,1] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[3,6,7,4,1,2,5] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[3,6,7,4,1,5,2] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[3,6,7,4,2,1,5] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[3,6,7,4,2,5,1] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[3,6,7,4,5,1,2] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,6,7,4,5,2,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,6,7,5,1,2,4] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,6,7,5,1,4,2] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,6,7,5,2,1,4] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,6,7,5,2,4,1] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,6,7,5,4,1,2] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,6,7,5,4,2,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[3,7,1,2,4,5,6] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[3,7,1,2,4,6,5] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[3,7,1,2,5,4,6] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,7,1,2,5,6,4] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[3,7,1,2,6,4,5] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,1,2,6,5,4] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,1,4,2,5,6] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[3,7,1,4,2,6,5] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[3,7,1,4,5,2,6] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[3,7,1,4,5,6,2] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[3,7,1,4,6,2,5] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[3,7,1,4,6,5,2] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[3,7,1,5,2,4,6] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[3,7,1,5,2,6,4] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[3,7,1,5,4,2,6] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[3,7,1,5,4,6,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,7,1,5,6,2,4] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[3,7,1,5,6,4,2] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[3,7,1,6,2,4,5] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[3,7,1,6,2,5,4] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,7,1,6,4,2,5] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,7,1,6,4,5,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,1,6,5,2,4] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[3,7,1,6,5,4,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,2,1,4,5,6] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[3,7,2,1,4,6,5] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[3,7,2,1,5,4,6] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,7,2,1,5,6,4] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[3,7,2,1,6,4,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,2,1,6,5,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,2,4,1,5,6] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[3,7,2,4,1,6,5] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[3,7,2,4,5,1,6] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[3,7,2,4,5,6,1] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[3,7,2,4,6,1,5] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[3,7,2,4,6,5,1] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[3,7,2,5,1,4,6] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[3,7,2,5,1,6,4] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,7,2,5,4,1,6] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,7,2,5,4,6,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,7,2,5,6,1,4] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[3,7,2,5,6,4,1] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[3,7,2,6,1,4,5] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[3,7,2,6,1,5,4] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[3,7,2,6,4,1,5] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[3,7,2,6,4,5,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,2,6,5,1,4] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[3,7,2,6,5,4,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,4,1,2,5,6] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[3,7,4,1,2,6,5] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,4,1,5,2,6] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[3,7,4,1,5,6,2] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[3,7,4,1,6,2,5] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,7,4,1,6,5,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,4,2,1,5,6] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[3,7,4,2,1,6,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,4,2,5,1,6] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[3,7,4,2,5,6,1] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[3,7,4,2,6,1,5] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[3,7,4,2,6,5,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,4,5,1,2,6] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,4,5,1,6,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,4,5,2,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,4,5,2,6,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,4,5,6,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,7,4,5,6,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,7,4,6,1,2,5] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,7,4,6,1,5,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,7,4,6,2,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,7,4,6,2,5,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,7,4,6,5,1,2] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,4,6,5,2,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,5,1,2,4,6] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[3,7,5,1,2,6,4] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,5,1,4,2,6] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[3,7,5,1,4,6,2] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[3,7,5,1,6,2,4] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[3,7,5,1,6,4,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,5,2,1,4,6] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[3,7,5,2,1,6,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,5,2,4,1,6] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[3,7,5,2,4,6,1] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[3,7,5,2,6,1,4] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[3,7,5,2,6,4,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,5,4,1,2,6] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,5,4,1,6,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,5,4,2,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[3,7,5,4,2,6,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,5,4,6,1,2] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,5,4,6,2,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[3,7,5,6,1,2,4] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[3,7,5,6,1,4,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,7,5,6,2,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,7,5,6,2,4,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[3,7,5,6,4,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,7,5,6,4,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,7,6,1,2,4,5] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[3,7,6,1,2,5,4] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,7,6,1,4,2,5] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[3,7,6,1,4,5,2] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,7,6,1,5,2,4] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[3,7,6,1,5,4,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,7,6,2,1,4,5] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[3,7,6,2,1,5,4] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,7,6,2,4,1,5] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[3,7,6,2,4,5,1] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[3,7,6,2,5,1,4] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[3,7,6,2,5,4,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,7,6,4,1,2,5] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,7,6,4,1,5,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,7,6,4,2,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[3,7,6,4,2,5,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[3,7,6,4,5,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,7,6,4,5,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,7,6,5,1,2,4] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[3,7,6,5,1,4,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,7,6,5,2,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[3,7,6,5,2,4,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[3,7,6,5,4,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[3,7,6,5,4,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,1,2,3,5,6,7] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[4,1,2,3,5,7,6] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,1,2,3,6,5,7] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,1,2,3,6,7,5] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,1,2,3,7,5,6] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,1,2,3,7,6,5] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,1,2,5,3,6,7] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[4,1,2,5,3,7,6] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[4,1,2,5,6,3,7] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[4,1,2,5,6,7,3] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,1,2,5,7,3,6] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,1,2,5,7,6,3] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,1,2,6,3,5,7] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,1,2,6,3,7,5] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,1,2,6,5,3,7] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,1,2,6,5,7,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,1,2,6,7,3,5] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,1,2,6,7,5,3] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,1,2,7,3,5,6] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,1,2,7,3,6,5] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,2,7,5,3,6] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,2,7,5,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,1,2,7,6,3,5] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,1,2,7,6,5,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,1,3,2,5,6,7] => [1,3,2,5,6,7,4] => [3,4,2,7,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,1,3,2,5,7,6] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,1,3,2,6,5,7] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[4,1,3,2,6,7,5] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,3,2,7,5,6] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[4,1,3,2,7,6,5] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[4,1,3,5,2,6,7] => [1,3,5,2,6,7,4] => [3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[4,1,3,5,2,7,6] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[4,1,3,5,6,2,7] => [1,3,5,6,2,7,4] => [3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[4,1,3,5,6,7,2] => [1,3,5,6,7,2,4] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[4,1,3,5,7,2,6] => [1,3,5,7,2,6,4] => [3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,1,3,5,7,6,2] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[4,1,3,6,2,5,7] => [1,3,6,2,5,7,4] => [3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,1,3,6,2,7,5] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[4,1,3,6,5,2,7] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[4,1,3,6,5,7,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[4,1,3,6,7,2,5] => [1,3,6,7,2,5,4] => [3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,1,3,6,7,5,2] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[4,1,3,7,2,5,6] => [1,3,7,2,5,6,4] => [3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,1,3,7,2,6,5] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,1,3,7,5,2,6] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,1,3,7,5,6,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[4,1,3,7,6,2,5] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[4,1,3,7,6,5,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[4,1,5,2,3,6,7] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,1,5,2,3,7,6] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,1,5,2,6,3,7] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[4,1,5,2,6,7,3] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,1,5,2,7,3,6] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,1,5,2,7,6,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,1,5,3,2,6,7] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,1,5,3,2,7,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,1,5,3,6,2,7] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,1,5,3,6,7,2] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,1,5,3,7,2,6] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[4,1,5,3,7,6,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,1,5,6,2,3,7] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[4,1,5,6,2,7,3] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[4,1,5,6,3,2,7] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[4,1,5,6,3,7,2] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[4,1,5,6,7,2,3] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[4,1,5,6,7,3,2] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[4,1,5,7,2,3,6] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,1,5,7,2,6,3] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,5,7,3,2,6] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,5,7,3,6,2] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,1,5,7,6,2,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,1,5,7,6,3,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,1,6,2,3,5,7] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,1,6,2,3,7,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,1,6,2,5,3,7] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,1,6,2,5,7,3] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,6,2,7,3,5] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,1,6,2,7,5,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,6,3,2,5,7] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,6,3,2,7,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,6,3,5,2,7] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,1,6,3,5,7,2] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,1,6,3,7,2,5] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,1,6,3,7,5,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,1,6,5,2,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,1,6,5,2,7,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,6,5,3,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,1,6,5,3,7,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,1,6,5,7,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,1,6,5,7,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,1,6,7,2,3,5] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,1,6,7,2,5,3] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,6,7,3,2,5] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,6,7,3,5,2] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,1,6,7,5,2,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,1,6,7,5,3,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,1,7,2,3,5,6] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,1,7,2,3,6,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,1,7,2,5,3,6] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,1,7,2,5,6,3] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,7,2,6,3,5] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[4,1,7,2,6,5,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,1,7,3,2,5,6] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,1,7,3,2,6,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,1,7,3,5,2,6] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[4,1,7,3,5,6,2] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,1,7,3,6,2,5] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,1,7,3,6,5,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,1,7,5,2,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,1,7,5,2,6,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,1,7,5,3,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,1,7,5,3,6,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,1,7,5,6,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,1,7,5,6,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,1,7,6,2,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,1,7,6,2,5,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,7,6,3,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,1,7,6,3,5,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,1,7,6,5,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,1,7,6,5,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,2,1,3,5,6,7] => [1,3,5,6,7,2,4] => [2,1,4,7,3,5,6] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 2
[4,2,1,3,5,7,6] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[4,2,1,3,6,5,7] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[4,2,1,3,6,7,5] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[4,2,1,3,7,5,6] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[4,2,1,3,7,6,5] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[4,2,1,5,3,6,7] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,2,1,5,3,7,6] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,2,1,5,6,3,7] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[4,2,1,5,6,7,3] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[4,2,1,5,7,3,6] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,2,1,5,7,6,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,2,1,6,3,5,7] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,2,1,6,3,7,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,2,1,6,5,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,2,1,6,5,7,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,2,1,6,7,3,5] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,2,1,6,7,5,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,2,1,7,3,5,6] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,2,1,7,3,6,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,2,1,7,5,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,2,1,7,5,6,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,2,1,7,6,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,2,1,7,6,5,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,2,3,1,5,6,7] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[4,2,3,1,5,7,6] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,2,3,1,6,5,7] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,2,3,1,6,7,5] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,2,3,1,7,5,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,2,3,1,7,6,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,2,3,5,1,6,7] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,2,3,5,1,7,6] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,2,3,5,6,1,7] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,2,3,5,6,7,1] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[4,2,3,5,7,1,6] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,2,3,5,7,6,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,2,3,6,1,5,7] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,2,3,6,1,7,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,2,3,6,5,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,2,3,6,5,7,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,2,3,6,7,1,5] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,2,3,6,7,5,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,2,3,7,1,5,6] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[4,2,3,7,1,6,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,2,3,7,5,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,2,3,7,5,6,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,2,3,7,6,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,2,3,7,6,5,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,2,5,1,3,6,7] => [1,3,6,7,2,5,4] => [3,2,5,7,6,1,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,2,5,1,3,7,6] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[4,2,5,1,6,3,7] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,2,5,1,6,7,3] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,2,5,1,7,3,6] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,2,5,1,7,6,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,2,5,3,1,6,7] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,2,5,3,1,7,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,2,5,3,6,1,7] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,2,5,3,6,7,1] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[4,2,5,3,7,1,6] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,2,5,3,7,6,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[4,2,5,6,1,3,7] => [1,3,7,2,5,6,4] => [3,2,5,7,1,6,4] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,2,5,6,1,7,3] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,2,5,6,3,1,7] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,2,5,6,3,7,1] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[4,2,5,6,7,1,3] => [1,3,2,5,6,7,4] => [3,4,2,7,1,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,2,5,6,7,3,1] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,2,5,7,1,3,6] => [1,3,6,2,5,7,4] => [3,2,5,7,4,1,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,2,5,7,1,6,3] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,2,5,7,3,1,6] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,2,5,7,3,6,1] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,2,5,7,6,1,3] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,2,5,7,6,3,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,2,6,1,3,5,7] => [1,3,5,7,2,6,4] => [3,2,5,7,4,6,1] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,2,6,1,3,7,5] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,2,6,1,5,3,7] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[4,2,6,1,5,7,3] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,2,6,1,7,3,5] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[4,2,6,1,7,5,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,2,6,3,1,5,7] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,2,6,3,1,7,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,2,6,3,5,1,7] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[4,2,6,3,5,7,1] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,2,6,3,7,1,5] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[4,2,6,3,7,5,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,2,6,5,1,3,7] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,2,6,5,1,7,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,2,6,5,3,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,2,6,5,3,7,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,2,6,5,7,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[4,2,6,5,7,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,2,6,7,1,3,5] => [1,3,5,2,6,7,4] => [3,5,2,7,1,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[4,2,6,7,1,5,3] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,2,6,7,3,1,5] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,2,6,7,3,5,1] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,2,6,7,5,1,3] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,6,7,5,3,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,2,7,1,3,5,6] => [1,3,5,6,2,7,4] => [3,6,2,7,1,4,5] => [1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 3
[4,2,7,1,3,6,5] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[4,2,7,1,5,3,6] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,2,7,1,5,6,3] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[4,2,7,1,6,3,5] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,2,7,1,6,5,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,7,3,1,5,6] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[4,2,7,3,1,6,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,7,3,5,1,6] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,2,7,3,5,6,1] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,2,7,3,6,1,5] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,2,7,3,6,5,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,7,5,1,3,6] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[4,2,7,5,1,6,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,7,5,3,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,7,5,3,6,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,2,7,5,6,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[4,2,7,5,6,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,2,7,6,1,3,5] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[4,2,7,6,1,5,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,2,7,6,3,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,2,7,6,3,5,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,2,7,6,5,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[4,2,7,6,5,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,3,1,2,5,6,7] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,3,1,2,5,7,6] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,3,1,2,6,5,7] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,3,1,2,6,7,5] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,3,1,2,7,5,6] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,3,1,2,7,6,5] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,3,1,5,2,6,7] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,1,5,2,7,6] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,3,1,5,6,2,7] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[4,3,1,5,6,7,2] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[4,3,1,5,7,2,6] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,3,1,5,7,6,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,3,1,6,2,5,7] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,3,1,6,2,7,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,1,6,5,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,1,6,5,7,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,3,1,6,7,2,5] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,3,1,6,7,5,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,3,1,7,2,5,6] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,3,1,7,2,6,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,3,1,7,5,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,3,1,7,5,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,3,1,7,6,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,3,1,7,6,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,3,2,1,5,6,7] => [1,5,6,7,2,3,4] => [2,1,3,7,4,5,6] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 2
[4,3,2,1,5,7,6] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,3,2,1,6,5,7] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,3,2,1,6,7,5] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,3,2,1,7,5,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,3,2,1,7,6,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,3,2,5,1,6,7] => [1,6,7,2,5,3,4] => [3,2,1,7,6,4,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,3,2,5,1,7,6] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,3,2,5,6,1,7] => [1,7,2,5,6,3,4] => [3,2,1,7,4,6,5] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,3,2,5,6,7,1] => [1,2,5,6,7,3,4] => [2,3,1,7,4,5,6] => [1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 2
[4,3,2,5,7,1,6] => [1,6,2,5,7,3,4] => [3,2,1,7,5,4,6] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,3,2,5,7,6,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,3,2,6,1,5,7] => [1,5,7,2,6,3,4] => [3,2,1,7,5,6,4] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 3
[4,3,2,6,1,7,5] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,3,2,6,5,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,3,2,6,5,7,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,3,2,6,7,1,5] => [1,5,2,6,7,3,4] => [3,4,1,7,2,5,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,2,6,7,5,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,3,2,7,1,5,6] => [1,5,6,2,7,3,4] => [3,5,1,7,2,4,6] => [1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 3
[4,3,2,7,1,6,5] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,2,7,5,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,2,7,5,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,3,2,7,6,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,3,2,7,6,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,3,5,1,2,6,7] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,5,1,2,7,6] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,3,5,1,6,2,7] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,3,5,1,6,7,2] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,3,5,1,7,2,6] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[4,3,5,1,7,6,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,3,5,2,1,6,7] => [1,6,7,2,3,5,4] => [3,2,4,7,6,1,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,3,5,2,1,7,6] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,3,5,2,6,1,7] => [1,7,2,6,3,5,4] => [4,3,2,7,6,5,1] => [1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 4
[4,3,5,2,6,7,1] => [1,2,6,7,3,5,4] => [3,4,2,7,6,1,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,5,2,7,1,6] => [1,6,2,7,3,5,4] => [4,5,2,7,6,1,3] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,3,5,2,7,6,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,3,5,6,1,2,7] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,5,6,1,7,2] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,3,5,6,2,1,7] => [1,7,2,3,5,6,4] => [3,2,4,7,1,6,5] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,3,5,6,2,7,1] => [1,2,7,3,5,6,4] => [3,4,2,7,1,6,5] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,5,6,7,1,2] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[4,3,5,6,7,2,1] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => [1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 2
[4,3,5,7,1,2,6] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,5,7,1,6,2] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,3,5,7,2,1,6] => [1,6,2,3,5,7,4] => [3,2,4,7,5,1,6] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,3,5,7,2,6,1] => [1,2,6,3,5,7,4] => [3,4,2,7,5,1,6] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,5,7,6,1,2] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,3,5,7,6,2,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,3,6,1,2,5,7] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,6,1,2,7,5] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,6,1,5,2,7] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,3,6,1,5,7,2] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,3,6,1,7,2,5] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,3,6,1,7,5,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,3,6,2,1,5,7] => [1,5,7,2,3,6,4] => [3,2,4,7,5,6,1] => [1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 3
[4,3,6,2,1,7,5] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,3,6,2,5,1,7] => [1,7,2,5,3,6,4] => [4,3,6,7,1,5,2] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,3,6,2,5,7,1] => [1,2,5,7,3,6,4] => [3,4,2,7,5,6,1] => [1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 3
[4,3,6,2,7,1,5] => [1,5,2,7,3,6,4] => [4,5,2,7,3,6,1] => [1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 4
[4,3,6,2,7,5,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,6,5,1,2,7] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,6,5,1,7,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,3,6,5,2,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,3,6,5,2,7,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,3,6,5,7,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,3,6,5,7,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,3,6,7,1,2,5] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[4,3,6,7,1,5,2] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,3,6,7,2,1,5] => [1,5,2,3,6,7,4] => [3,2,5,7,1,4,6] => [1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 3
[4,3,6,7,2,5,1] => [1,2,5,3,6,7,4] => [3,4,5,7,1,2,6] => [1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 3
[4,3,6,7,5,1,2] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,6,7,5,2,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,3,7,1,2,5,6] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[4,3,7,1,2,6,5] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,3,7,1,5,2,6] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[4,3,7,1,5,6,2] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[4,3,7,1,6,2,5] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,3,7,1,6,5,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,3,7,2,1,5,6] => [1,5,6,2,3,7,4] => [3,2,6,7,1,4,5] => [1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 3
[4,3,7,2,1,6,5] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,3,7,2,5,1,6] => [1,6,2,5,3,7,4] => [4,3,6,7,2,1,5] => [1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 4
[4,3,7,2,5,6,1] => [1,2,5,6,3,7,4] => [3,4,6,7,1,2,5] => [1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 3
[4,3,7,2,6,1,5] => [1,5,2,6,3,7,4] => [4,5,6,7,1,2,3] => [1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 4
[4,3,7,2,6,5,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,3,7,5,1,2,6] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,3,7,5,1,6,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,3,7,5,2,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,3,7,5,2,6,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,3,7,5,6,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,3,7,5,6,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,3,7,6,1,2,5] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[4,3,7,6,1,5,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,3,7,6,2,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,3,7,6,2,5,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[4,3,7,6,5,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,3,7,6,5,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,1,2,3,6,7] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,1,2,3,7,6] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,1,2,6,3,7] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,5,1,2,6,7,3] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,5,1,2,7,3,6] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,2,7,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,1,3,2,6,7] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,3,2,7,6] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[4,5,1,3,6,2,7] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[4,5,1,3,6,7,2] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[4,5,1,3,7,2,6] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,5,1,3,7,6,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[4,5,1,6,2,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,5,1,6,2,7,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,6,3,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,1,6,3,7,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,5,1,6,7,2,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,5,1,6,7,3,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,5,1,7,2,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,5,1,7,2,6,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,5,1,7,3,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,5,1,7,3,6,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,5,1,7,6,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,1,7,6,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,2,1,3,6,7] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[4,5,2,1,3,7,6] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[4,5,2,1,6,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,5,2,1,6,7,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,5,2,1,7,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,5,2,1,7,6,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,2,3,1,6,7] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,5,2,3,1,7,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,2,3,6,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,5,2,3,6,7,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,2,3,7,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,5,2,3,7,6,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,2,6,1,3,7] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,5,2,6,1,7,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,5,2,6,3,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,5,2,6,3,7,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,5,2,6,7,1,3] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,2,6,7,3,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,5,2,7,1,3,6] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[4,5,2,7,1,6,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,2,7,3,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,2,7,3,6,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,2,7,6,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[4,5,2,7,6,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,3,1,2,6,7] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,5,3,1,2,7,6] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,3,1,6,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,3,1,6,7,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,5,3,1,7,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,5,3,1,7,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,3,2,1,6,7] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[4,5,3,2,1,7,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,3,2,6,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[4,5,3,2,6,7,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[4,5,3,2,7,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,3,2,7,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,3,6,1,2,7] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,3,6,1,7,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,5,3,6,2,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[4,5,3,6,2,7,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[4,5,3,6,7,1,2] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,3,6,7,2,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[4,5,3,7,1,2,6] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,5,3,7,1,6,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,5,3,7,2,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,5,3,7,2,6,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,5,3,7,6,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,3,7,6,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,6,1,2,3,7] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,6,1,2,7,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,1,3,2,7] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[4,5,6,1,3,7,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[4,5,6,1,7,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,1,7,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,2,1,3,7] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[4,5,6,2,1,7,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,2,3,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,2,3,7,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,6,2,7,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[4,5,6,2,7,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,3,1,2,7] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,3,1,7,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,3,2,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,3,2,7,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[4,5,6,3,7,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,6,3,7,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[4,5,6,7,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[4,5,6,7,1,3,2] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[4,5,6,7,2,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[4,5,6,7,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[4,5,6,7,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[4,5,6,7,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[4,5,7,1,2,3,6] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,5,7,1,2,6,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,1,3,2,6] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[4,5,7,1,3,6,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[4,5,7,1,6,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,1,6,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,2,1,3,6] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[4,5,7,2,1,6,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,2,3,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,2,3,6,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,5,7,2,6,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[4,5,7,2,6,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,3,1,2,6] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,3,1,6,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,3,2,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,3,2,6,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[4,5,7,3,6,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,5,7,3,6,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[4,5,7,6,1,2,3] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[4,5,7,6,1,3,2] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[4,5,7,6,2,1,3] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[4,5,7,6,2,3,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[4,5,7,6,3,1,2] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[4,5,7,6,3,2,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[4,6,1,2,3,5,7] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,6,1,2,3,7,5] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,6,1,2,5,3,7] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[4,6,1,2,5,7,3] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,6,1,2,7,3,5] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,6,1,2,7,5,3] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,1,3,2,5,7] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,1,3,2,7,5] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[4,6,1,3,5,2,7] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[4,6,1,3,5,7,2] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[4,6,1,3,7,2,5] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[4,6,1,3,7,5,2] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,6,1,5,2,3,7] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,6,1,5,2,7,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,1,5,3,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,1,5,3,7,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,6,1,5,7,2,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,6,1,5,7,3,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,6,1,7,2,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,6,1,7,2,5,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,6,1,7,3,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,6,1,7,3,5,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,6,1,7,5,2,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,1,7,5,3,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,2,1,3,5,7] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[4,6,2,1,3,7,5] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,6,2,1,5,3,7] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,6,2,1,5,7,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,6,2,1,7,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,6,2,1,7,5,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,2,3,1,5,7] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,6,2,3,1,7,5] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,2,3,5,1,7] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,6,2,3,5,7,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,6,2,3,7,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,6,2,3,7,5,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,6,2,5,1,3,7] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[4,6,2,5,1,7,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,6,2,5,3,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,6,2,5,3,7,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[4,6,2,5,7,1,3] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,2,5,7,3,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,6,2,7,1,3,5] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[4,6,2,7,1,5,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,2,7,3,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,2,7,3,5,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,6,2,7,5,1,3] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[4,6,2,7,5,3,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,3,1,2,5,7] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,6,3,1,2,7,5] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,3,1,5,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,3,1,5,7,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,6,3,1,7,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,6,3,1,7,5,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,3,2,1,5,7] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[4,6,3,2,1,7,5] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,3,2,5,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[4,6,3,2,5,7,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[4,6,3,2,7,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[4,6,3,2,7,5,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,3,5,1,2,7] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,6,3,5,1,7,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,6,3,5,2,1,7] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,6,3,5,2,7,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,6,3,5,7,1,2] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,6,3,5,7,2,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[4,6,3,7,1,2,5] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[4,6,3,7,1,5,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,6,3,7,2,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[4,6,3,7,2,5,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[4,6,3,7,5,1,2] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,6,3,7,5,2,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,6,5,1,2,3,7] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,6,5,1,2,7,3] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,5,1,3,2,7] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[4,6,5,1,3,7,2] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,6,5,1,7,2,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,5,1,7,3,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,5,2,1,3,7] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[4,6,5,2,1,7,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,5,2,3,1,7] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,5,2,3,7,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,6,5,2,7,1,3] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[4,6,5,2,7,3,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,5,3,1,2,7] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,5,3,1,7,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,5,3,2,1,7] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[4,6,5,3,2,7,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,5,3,7,1,2] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,6,5,3,7,2,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[4,6,5,7,1,2,3] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,6,5,7,1,3,2] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[4,6,5,7,2,1,3] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[4,6,5,7,2,3,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,6,5,7,3,1,2] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,6,5,7,3,2,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[4,6,7,1,2,3,5] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,6,7,1,2,5,3] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,1,3,2,5] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[4,6,7,1,3,5,2] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[4,6,7,1,5,2,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,1,5,3,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,2,1,3,5] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[4,6,7,2,1,5,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,2,3,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,2,3,5,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,6,7,2,5,1,3] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[4,6,7,2,5,3,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,3,1,2,5] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,3,1,5,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,3,2,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,3,2,5,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[4,6,7,3,5,1,2] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,6,7,3,5,2,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[4,6,7,5,1,2,3] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[4,6,7,5,1,3,2] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,7,5,2,1,3] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[4,6,7,5,2,3,1] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[4,6,7,5,3,1,2] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[4,6,7,5,3,2,1] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[4,7,1,2,3,5,6] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[4,7,1,2,3,6,5] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[4,7,1,2,5,3,6] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[4,7,1,2,5,6,3] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[4,7,1,2,6,3,5] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,1,2,6,5,3] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[4,7,1,3,2,5,6] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,1,3,2,6,5] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[4,7,1,3,5,2,6] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[4,7,1,3,5,6,2] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[4,7,1,3,6,2,5] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[4,7,1,3,6,5,2] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[4,7,1,5,2,3,6] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[4,7,1,5,2,6,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,1,5,3,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,1,5,3,6,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[4,7,1,5,6,2,3] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[4,7,1,5,6,3,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[4,7,1,6,2,3,5] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[4,7,1,6,2,5,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[4,7,1,6,3,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[4,7,1,6,3,5,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[4,7,1,6,5,2,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,1,6,5,3,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,2,1,3,5,6] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[4,7,2,1,3,6,5] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[4,7,2,1,5,3,6] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[4,7,2,1,5,6,3] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[4,7,2,1,6,3,5] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[4,7,2,1,6,5,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,2,3,1,5,6] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[4,7,2,3,1,6,5] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,2,3,5,1,6] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[4,7,2,3,5,6,1] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[4,7,2,3,6,1,5] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[4,7,2,3,6,5,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[4,7,2,5,1,3,6] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[4,7,2,5,1,6,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[4,7,2,5,3,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[4,7,2,5,3,6,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[4,7,2,5,6,1,3] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,5,6,3,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[4,7,2,6,1,3,5] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[4,7,2,6,1,5,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,6,3,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,6,3,5,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,2,6,5,1,3] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[4,7,2,6,5,3,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[4,7,3,1,2,5,6] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[4,7,3,1,2,6,5] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[4,7,3,1,5,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,3,1,5,6,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[4,7,3,1,6,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[4,7,3,1,6,5,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,3,2,1,5,6] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[4,7,3,2,1,6,5] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,3,2,5,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[4,7,3,2,5,6,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[4,7,3,2,6,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,3,2,6,5,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[4,7,3,5,1,2,6] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,3,5,1,6,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[4,7,3,5,2,1,6] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[4,7,3,5,2,6,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[4,7,3,5,6,1,2] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[4,7,3,5,6,2,1] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[4,7,3,6,1,2,5] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[4,7,3,6,1,5,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[4,7,3,6,2,1,5] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[4,7,3,6,2,5,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[4,7,3,6,5,1,2] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[4,7,3,6,5,2,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[4,7,5,1,2,3,6] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[4,7,5,1,2,6,3] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[4,7,5,1,3,2,6] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[4,7,5,1,3,6,2] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[4,7,5,1,6,2,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,5,1,6,3,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,5,2,1,3,6] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[4,7,5,2,1,6,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,5,2,3,1,6] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,5,2,3,6,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[4,7,5,2,6,1,3] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[4,7,5,2,6,3,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[4,7,5,3,1,2,6] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[4,7,5,3,1,6,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,5,3,2,1,6] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[4,7,5,3,2,6,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[4,7,5,3,6,1,2] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[4,7,5,3,6,2,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[4,7,5,6,1,2,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,7,5,6,1,3,2] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,5,6,2,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,5,6,2,3,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,7,5,6,3,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,7,5,6,3,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,7,6,1,2,3,5] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[4,7,6,1,2,5,3] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,7,6,1,3,2,5] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[4,7,6,1,3,5,2] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[4,7,6,1,5,2,3] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,7,6,1,5,3,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,7,6,2,1,3,5] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[4,7,6,2,1,5,3] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,7,6,2,3,1,5] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,7,6,2,3,5,1] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[4,7,6,2,5,1,3] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[4,7,6,2,5,3,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,7,6,3,1,2,5] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,7,6,3,1,5,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,7,6,3,2,1,5] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[4,7,6,3,2,5,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[4,7,6,3,5,1,2] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[4,7,6,3,5,2,1] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[4,7,6,5,1,2,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,7,6,5,1,3,2] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,6,5,2,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[4,7,6,5,2,3,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,7,6,5,3,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[4,7,6,5,3,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,1,2,3,4,6,7] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[5,1,2,3,4,7,6] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,1,2,3,6,4,7] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[5,1,2,3,6,7,4] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,1,2,3,7,4,6] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,1,2,3,7,6,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,1,2,4,3,6,7] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,1,2,4,3,7,6] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[5,1,2,4,6,3,7] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[5,1,2,4,6,7,3] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[5,1,2,4,7,3,6] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,1,2,4,7,6,3] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,1,2,6,3,4,7] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,1,2,6,3,7,4] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,1,2,6,4,3,7] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,1,2,6,4,7,3] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,1,2,6,7,3,4] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,1,2,6,7,4,3] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,1,2,7,3,4,6] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,1,2,7,3,6,4] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,7,4,3,6] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,2,7,4,6,3] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,1,2,7,6,3,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,1,2,7,6,4,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,1,3,2,4,6,7] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,1,3,2,4,7,6] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,3,2,6,4,7] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,1,3,2,6,7,4] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,3,2,7,4,6] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[5,1,3,2,7,6,4] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[5,1,3,4,2,6,7] => [1,3,4,2,6,7,5] => [3,5,2,4,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,1,3,4,2,7,6] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[5,1,3,4,6,2,7] => [1,3,4,6,2,7,5] => [3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[5,1,3,4,6,7,2] => [1,3,4,6,7,2,5] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[5,1,3,4,7,2,6] => [1,3,4,7,2,6,5] => [3,2,5,6,7,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[5,1,3,4,7,6,2] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[5,1,3,6,2,4,7] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[5,1,3,6,2,7,4] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,1,3,6,4,2,7] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,1,3,6,4,7,2] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[5,1,3,6,7,2,4] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[5,1,3,6,7,4,2] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[5,1,3,7,2,4,6] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,3,7,2,6,4] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,3,7,4,2,6] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,3,7,4,6,2] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,3,7,6,2,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,1,3,7,6,4,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,1,4,2,3,6,7] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,4,2,3,7,6] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,1,4,2,6,3,7] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[5,1,4,2,6,7,3] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,1,4,2,7,3,6] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,1,4,2,7,6,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,4,3,2,6,7] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,1,4,3,2,7,6] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,1,4,3,6,2,7] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,1,4,3,6,7,2] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,4,3,7,2,6] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[5,1,4,3,7,6,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,1,4,6,2,3,7] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,1,4,6,2,7,3] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,1,4,6,3,2,7] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,1,4,6,3,7,2] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,1,4,6,7,2,3] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[5,1,4,6,7,3,2] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[5,1,4,7,2,3,6] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,1,4,7,2,6,3] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,1,4,7,3,2,6] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,1,4,7,3,6,2] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,1,4,7,6,2,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,1,4,7,6,3,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,1,6,2,3,4,7] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,1,6,2,3,7,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,6,2,4,3,7] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,1,6,2,4,7,3] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,1,6,2,7,3,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,6,2,7,4,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,6,3,2,4,7] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,1,6,3,2,7,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,6,3,4,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,6,3,4,7,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,1,6,3,7,2,4] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,1,6,3,7,4,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,6,4,2,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,6,4,2,7,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,6,4,3,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,1,6,4,3,7,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,1,6,4,7,2,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,1,6,4,7,3,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,1,6,7,2,3,4] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,1,6,7,2,4,3] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,1,6,7,3,2,4] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,1,6,7,3,4,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,1,6,7,4,2,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,1,6,7,4,3,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,1,7,2,3,4,6] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,1,7,2,3,6,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,1,7,2,4,3,6] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,1,7,2,4,6,3] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[5,1,7,2,6,3,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,1,7,2,6,4,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,1,7,3,2,4,6] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[5,1,7,3,2,6,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,1,7,3,4,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,1,7,3,4,6,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,1,7,3,6,2,4] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,1,7,3,6,4,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,1,7,4,2,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,1,7,4,2,6,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,1,7,4,3,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,1,7,4,3,6,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,1,7,4,6,2,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,1,7,4,6,3,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,1,7,6,2,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,1,7,6,2,4,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,1,7,6,3,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,1,7,6,3,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,1,7,6,4,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,1,7,6,4,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,2,1,3,4,6,7] => [1,3,4,6,7,2,5] => [2,1,4,5,7,3,6] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 2
[5,2,1,3,4,7,6] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[5,2,1,3,6,4,7] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[5,2,1,3,6,7,4] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[5,2,1,3,7,4,6] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,1,3,7,6,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,2,1,4,3,6,7] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,1,4,3,7,6] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,2,1,4,6,3,7] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,2,1,4,6,7,3] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[5,2,1,4,7,3,6] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,2,1,4,7,6,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,2,1,6,3,4,7] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,2,1,6,3,7,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,1,6,4,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,1,6,4,7,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,2,1,6,7,3,4] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,2,1,6,7,4,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,2,1,7,3,4,6] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,2,1,7,3,6,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,2,1,7,4,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,2,1,7,4,6,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,2,1,7,6,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,2,1,7,6,4,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,2,3,1,4,6,7] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[5,2,3,1,4,7,6] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,2,3,1,6,4,7] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,2,3,1,6,7,4] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,2,3,1,7,4,6] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,2,3,1,7,6,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,2,3,4,1,6,7] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,2,3,4,1,7,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,2,3,4,6,1,7] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,2,3,4,6,7,1] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[5,2,3,4,7,1,6] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,2,3,4,7,6,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,2,3,6,1,4,7] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,2,3,6,1,7,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,2,3,6,4,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,2,3,6,4,7,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[5,2,3,6,7,1,4] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,3,6,7,4,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,2,3,7,1,4,6] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,2,3,7,1,6,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,3,7,4,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,3,7,4,6,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,2,3,7,6,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,2,3,7,6,4,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,2,4,1,3,6,7] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[5,2,4,1,3,7,6] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,2,4,1,6,3,7] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,2,4,1,6,7,3] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,2,4,1,7,3,6] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,2,4,1,7,6,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,2,4,3,1,6,7] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,2,4,3,1,7,6] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,2,4,3,6,1,7] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,2,4,3,6,7,1] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,2,4,3,7,1,6] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,2,4,3,7,6,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[5,2,4,6,1,3,7] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,4,6,1,7,3] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[5,2,4,6,3,1,7] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[5,2,4,6,3,7,1] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[5,2,4,6,7,1,3] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,2,4,6,7,3,1] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[5,2,4,7,1,3,6] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[5,2,4,7,1,6,3] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,2,4,7,3,1,6] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,2,4,7,3,6,1] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,2,4,7,6,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,2,4,7,6,3,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,2,6,1,3,4,7] => [1,3,4,7,2,6,5] => [3,2,5,6,7,4,1] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[5,2,6,1,3,7,4] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,6,1,4,3,7] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[5,2,6,1,4,7,3] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,2,6,1,7,3,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,2,6,1,7,4,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,2,6,3,1,4,7] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,2,6,3,1,7,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,2,6,3,4,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,2,6,3,4,7,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,2,6,3,7,1,4] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[5,2,6,3,7,4,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,2,6,4,1,3,7] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,2,6,4,1,7,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,2,6,4,3,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,2,6,4,3,7,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,2,6,4,7,1,3] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,2,6,4,7,3,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,2,6,7,1,3,4] => [1,3,4,2,6,7,5] => [3,5,2,4,7,1,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,2,6,7,1,4,3] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,2,6,7,3,1,4] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,2,6,7,3,4,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,2,6,7,4,1,3] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,6,7,4,3,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,2,7,1,3,4,6] => [1,3,4,6,2,7,5] => [3,6,2,4,7,1,5] => [1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 3
[5,2,7,1,3,6,4] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,2,7,1,4,3,6] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,2,7,1,4,6,3] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,2,7,1,6,3,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,7,1,6,4,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,7,3,1,4,6] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,2,7,3,1,6,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,7,3,4,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,7,3,4,6,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,2,7,3,6,1,4] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,2,7,3,6,4,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,7,4,1,3,6] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,2,7,4,1,6,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,7,4,3,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,7,4,3,6,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,2,7,4,6,1,3] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[5,2,7,4,6,3,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,2,7,6,1,3,4] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[5,2,7,6,1,4,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,2,7,6,3,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,2,7,6,3,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,2,7,6,4,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[5,2,7,6,4,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,3,1,2,4,6,7] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[5,3,1,2,4,7,6] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,3,1,2,6,4,7] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,3,1,2,6,7,4] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,3,1,2,7,4,6] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,3,1,2,7,6,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,3,1,4,2,6,7] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,3,1,4,2,7,6] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,3,1,4,6,2,7] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,3,1,4,6,7,2] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[5,3,1,4,7,2,6] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,3,1,4,7,6,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,3,1,6,2,4,7] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,3,1,6,2,7,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,1,6,4,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,1,6,4,7,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,3,1,6,7,2,4] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,3,1,6,7,4,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,3,1,7,2,4,6] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[5,3,1,7,2,6,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,3,1,7,4,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,3,1,7,4,6,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,3,1,7,6,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,3,1,7,6,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,3,2,1,4,6,7] => [1,4,6,7,2,3,5] => [2,1,3,5,7,4,6] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 2
[5,3,2,1,4,7,6] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,3,2,1,6,4,7] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,3,2,1,6,7,4] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,3,2,1,7,4,6] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,3,2,1,7,6,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,3,2,4,1,6,7] => [1,6,7,2,4,3,5] => [3,2,6,1,7,4,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,3,2,4,1,7,6] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,3,2,4,6,1,7] => [1,7,2,4,6,3,5] => [3,2,1,5,7,6,4] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 3
[5,3,2,4,6,7,1] => [1,2,4,6,7,3,5] => [2,3,1,5,7,4,6] => [1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 2
[5,3,2,4,7,1,6] => [1,6,2,4,7,3,5] => [3,2,1,6,7,4,5] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,3,2,4,7,6,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,3,2,6,1,4,7] => [1,4,7,2,6,3,5] => [3,2,1,6,7,5,4] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 3
[5,3,2,6,1,7,4] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,3,2,6,4,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,3,2,6,4,7,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,3,2,6,7,1,4] => [1,4,2,6,7,3,5] => [3,4,1,5,7,2,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,3,2,6,7,4,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,3,2,7,1,4,6] => [1,4,6,2,7,3,5] => [3,5,1,4,7,2,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,3,2,7,1,6,4] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,2,7,4,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,2,7,4,6,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,3,2,7,6,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,3,2,7,6,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,3,4,1,2,6,7] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,3,4,1,2,7,6] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,3,4,1,6,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,4,1,6,7,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,3,4,1,7,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,3,4,1,7,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,3,4,2,1,6,7] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,3,4,2,1,7,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,3,4,2,6,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,3,4,2,6,7,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,3,4,2,7,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,4,2,7,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,3,4,6,1,2,7] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,3,4,6,1,7,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,3,4,6,2,1,7] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,3,4,6,2,7,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,3,4,6,7,1,2] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[5,3,4,6,7,2,1] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[5,3,4,7,1,2,6] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,3,4,7,1,6,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,3,4,7,2,1,6] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,3,4,7,2,6,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,3,4,7,6,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,3,4,7,6,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,3,6,1,2,4,7] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,3,6,1,2,7,4] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,6,1,4,2,7] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,3,6,1,4,7,2] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,3,6,1,7,2,4] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,3,6,1,7,4,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,3,6,2,1,4,7] => [1,4,7,2,3,6,5] => [3,2,4,6,7,5,1] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,3,6,2,1,7,4] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,3,6,2,4,1,7] => [1,7,2,4,3,6,5] => [4,3,6,2,7,5,1] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,3,6,2,4,7,1] => [1,2,4,7,3,6,5] => [3,4,2,6,7,5,1] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,3,6,2,7,1,4] => [1,4,2,7,3,6,5] => [4,5,2,6,7,3,1] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,3,6,2,7,4,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,6,4,1,2,7] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,6,4,1,7,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,3,6,4,2,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,3,6,4,2,7,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,3,6,4,7,1,2] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[5,3,6,4,7,2,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[5,3,6,7,1,2,4] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,3,6,7,1,4,2] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,3,6,7,2,1,4] => [1,4,2,3,6,7,5] => [3,2,5,4,7,1,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,3,6,7,2,4,1] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,3,6,7,4,1,2] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,6,7,4,2,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,3,7,1,2,4,6] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[5,3,7,1,2,6,4] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,3,7,1,4,2,6] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[5,3,7,1,4,6,2] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,3,7,1,6,2,4] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,3,7,1,6,4,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,3,7,2,1,4,6] => [1,4,6,2,3,7,5] => [3,2,6,4,7,1,5] => [1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 3
[5,3,7,2,1,6,4] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,3,7,2,4,1,6] => [1,6,2,4,3,7,5] => [4,3,6,5,7,1,2] => [1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 4
[5,3,7,2,4,6,1] => [1,2,4,6,3,7,5] => [3,4,6,2,7,1,5] => [1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 3
[5,3,7,2,6,1,4] => [1,4,2,6,3,7,5] => [4,5,6,2,7,1,3] => [1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 4
[5,3,7,2,6,4,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,3,7,4,1,2,6] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,3,7,4,1,6,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,3,7,4,2,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,3,7,4,2,6,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,3,7,4,6,1,2] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,3,7,4,6,2,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,3,7,6,1,2,4] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[5,3,7,6,1,4,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,3,7,6,2,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,3,7,6,2,4,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[5,3,7,6,4,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,3,7,6,4,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,4,1,2,3,6,7] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,1,2,3,7,6] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,4,1,2,6,3,7] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,4,1,2,6,7,3] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,4,1,2,7,3,6] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,1,2,7,6,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,1,3,2,6,7] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,1,3,2,7,6] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[5,4,1,3,6,2,7] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,4,1,3,6,7,2] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[5,4,1,3,7,2,6] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,1,3,7,6,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,4,1,6,2,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,1,6,2,7,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,1,6,3,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,1,6,3,7,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,1,6,7,2,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,4,1,6,7,3,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,4,1,7,2,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,4,1,7,2,6,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,4,1,7,3,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,4,1,7,3,6,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,4,1,7,6,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,4,1,7,6,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,4,2,1,3,6,7] => [1,3,6,7,2,4,5] => [2,1,4,3,7,5,6] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 2
[5,4,2,1,3,7,6] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,4,2,1,6,3,7] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,2,1,6,7,3] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,4,2,1,7,3,6] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,4,2,1,7,6,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,4,2,3,1,6,7] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,4,2,3,1,7,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,4,2,3,6,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,4,2,3,6,7,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,2,3,7,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,2,3,7,6,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,4,2,6,1,3,7] => [1,3,7,2,6,4,5] => [3,2,5,1,7,6,4] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,2,6,1,7,3] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,4,2,6,3,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,4,2,6,3,7,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,4,2,6,7,1,3] => [1,3,2,6,7,4,5] => [3,4,2,1,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,2,6,7,3,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,4,2,7,1,3,6] => [1,3,6,2,7,4,5] => [3,5,2,1,7,4,6] => [1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 3
[5,4,2,7,1,6,3] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,2,7,3,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,2,7,3,6,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,2,7,6,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[5,4,2,7,6,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,3,1,2,6,7] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,4,3,1,2,7,6] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,3,1,6,2,7] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,3,1,6,7,2] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,4,3,1,7,2,6] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,4,3,1,7,6,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,4,3,2,1,6,7] => [1,6,7,2,3,4,5] => [2,1,3,4,7,5,6] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 2
[5,4,3,2,1,7,6] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,4,3,2,6,1,7] => [1,7,2,6,3,4,5] => [3,2,1,4,7,6,5] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 3
[5,4,3,2,6,7,1] => [1,2,6,7,3,4,5] => [2,3,1,4,7,5,6] => [1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 2
[5,4,3,2,7,1,6] => [1,6,2,7,3,4,5] => [3,4,1,2,7,5,6] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,3,2,7,6,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,4,3,6,1,2,7] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,3,6,1,7,2] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,4,3,6,2,1,7] => [1,7,2,3,6,4,5] => [3,2,4,1,7,6,5] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 3
[5,4,3,6,2,7,1] => [1,2,7,3,6,4,5] => [3,4,2,1,7,6,5] => [1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 3
[5,4,3,6,7,1,2] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,3,6,7,2,1] => [1,2,3,6,7,4,5] => [2,3,4,1,7,5,6] => [1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 2
[5,4,3,7,1,2,6] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,4,3,7,1,6,2] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,3,7,2,1,6] => [1,6,2,3,7,4,5] => [3,2,5,1,7,4,6] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,3,7,2,6,1] => [1,2,6,3,7,4,5] => [3,4,5,1,7,2,6] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,4,3,7,6,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,4,3,7,6,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,4,6,1,2,3,7] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,4,6,1,2,7,3] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,4,6,1,3,2,7] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[5,4,6,1,3,7,2] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,6,1,7,2,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,4,6,1,7,3,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,4,6,2,1,3,7] => [1,3,7,2,4,6,5] => [3,2,5,4,7,6,1] => [1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 3
[5,4,6,2,1,7,3] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,4,6,2,3,1,7] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,4,6,2,3,7,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,4,6,2,7,1,3] => [1,3,2,7,4,6,5] => [4,5,3,2,7,6,1] => [1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 4
[5,4,6,2,7,3,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,4,6,3,1,2,7] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,4,6,3,1,7,2] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,4,6,3,2,1,7] => [1,7,2,3,4,6,5] => [3,2,4,5,7,6,1] => [1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 3
[5,4,6,3,2,7,1] => [1,2,7,3,4,6,5] => [3,4,2,5,7,6,1] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,4,6,3,7,1,2] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,4,6,3,7,2,1] => [1,2,3,7,4,6,5] => [3,4,5,2,7,6,1] => [1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 3
[5,4,6,7,1,2,3] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[5,4,6,7,1,3,2] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,4,6,7,2,1,3] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => [1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 3
[5,4,6,7,2,3,1] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[5,4,6,7,3,1,2] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[5,4,6,7,3,2,1] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => [1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 2
[5,4,7,1,2,3,6] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[5,4,7,1,2,6,3] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,4,7,1,3,2,6] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,4,7,1,3,6,2] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[5,4,7,1,6,2,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,4,7,1,6,3,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,4,7,2,1,3,6] => [1,3,6,2,4,7,5] => [3,2,5,6,7,1,4] => [1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 3
[5,4,7,2,1,6,3] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,4,7,2,3,1,6] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,4,7,2,3,6,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[5,4,7,2,6,1,3] => [1,3,2,6,4,7,5] => [4,5,3,6,7,1,2] => [1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 4
[5,4,7,2,6,3,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,4,7,3,1,2,6] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,4,7,3,1,6,2] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,4,7,3,2,1,6] => [1,6,2,3,4,7,5] => [3,2,4,6,7,1,5] => [1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 3
[5,4,7,3,2,6,1] => [1,2,6,3,4,7,5] => [3,4,2,6,7,1,5] => [1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 3
[5,4,7,3,6,1,2] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[5,4,7,3,6,2,1] => [1,2,3,6,4,7,5] => [3,4,5,6,7,1,2] => [1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 3
[5,4,7,6,1,2,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,4,7,6,1,3,2] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,4,7,6,2,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,4,7,6,2,3,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,4,7,6,3,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,4,7,6,3,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,1,2,3,4,7] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,1,2,3,7,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,6,1,2,4,3,7] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[5,6,1,2,4,7,3] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,6,1,2,7,3,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,1,2,7,4,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,1,3,2,4,7] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,1,3,2,7,4] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[5,6,1,3,4,2,7] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[5,6,1,3,4,7,2] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[5,6,1,3,7,2,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,6,1,3,7,4,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,6,1,4,2,3,7] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,1,4,2,7,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,1,4,3,2,7] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,1,4,3,7,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,1,4,7,2,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,6,1,4,7,3,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,6,1,7,2,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,1,7,2,4,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,1,7,3,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,1,7,3,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,1,7,4,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,1,7,4,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,2,1,3,4,7] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[5,6,2,1,3,7,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,6,2,1,4,3,7] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,2,1,4,7,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,6,2,1,7,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,2,1,7,4,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,2,3,1,4,7] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,6,2,3,1,7,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,2,3,4,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,2,3,4,7,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,2,3,7,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,2,3,7,4,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,6,2,4,1,3,7] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,6,2,4,1,7,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,2,4,3,1,7] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,2,4,3,7,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[5,6,2,4,7,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,4,7,3,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,6,2,7,1,3,4] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[5,6,2,7,1,4,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,7,3,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,2,7,3,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,2,7,4,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[5,6,2,7,4,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,3,1,2,4,7] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,6,3,1,2,7,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,3,1,4,2,7] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,3,1,4,7,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,6,3,1,7,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,3,1,7,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,3,2,1,4,7] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[5,6,3,2,1,7,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,3,2,4,1,7] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,3,2,4,7,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[5,6,3,2,7,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,3,2,7,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,3,4,1,2,7] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,3,4,1,7,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,3,4,2,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,3,4,2,7,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,3,4,7,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,3,4,7,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,3,7,1,2,4] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[5,6,3,7,1,4,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,3,7,2,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[5,6,3,7,2,4,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[5,6,3,7,4,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,6,3,7,4,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,6,4,1,2,3,7] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,6,4,1,2,7,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,1,3,2,7] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[5,6,4,1,3,7,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,6,4,1,7,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,1,7,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,2,1,3,7] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[5,6,4,2,1,7,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,2,3,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,2,3,7,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,6,4,2,7,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[5,6,4,2,7,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,3,1,2,7] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,3,1,7,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,3,2,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,3,2,7,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[5,6,4,3,7,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,6,4,3,7,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[5,6,4,7,1,2,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,4,7,1,3,2] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,4,7,2,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[5,6,4,7,2,3,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,4,7,3,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,4,7,3,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[5,6,7,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,7,1,2,4,3] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,1,3,2,4] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[5,6,7,1,3,4,2] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[5,6,7,1,4,2,3] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,1,4,3,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,2,1,3,4] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[5,6,7,2,1,4,3] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,2,3,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,7,2,4,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[5,6,7,2,4,3,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,3,1,2,4] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,3,1,4,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,3,2,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,3,2,4,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[5,6,7,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,7,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,7,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,7,4,1,3,2] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[5,6,7,4,2,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[5,6,7,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,7,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,6,7,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[5,7,1,2,3,4,6] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[5,7,1,2,3,6,4] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[5,7,1,2,4,3,6] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[5,7,1,2,4,6,3] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[5,7,1,2,6,3,4] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,1,2,6,4,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,1,3,2,4,6] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,1,3,2,6,4] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[5,7,1,3,4,2,6] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[5,7,1,3,4,6,2] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[5,7,1,3,6,2,4] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[5,7,1,3,6,4,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[5,7,1,4,2,3,6] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,1,4,2,6,3] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,1,4,3,2,6] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,1,4,3,6,2] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,1,4,6,2,3] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[5,7,1,4,6,3,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[5,7,1,6,2,3,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,1,6,2,4,3] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,1,6,3,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,1,6,3,4,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,1,6,4,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,1,6,4,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,2,1,3,4,6] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[5,7,2,1,3,6,4] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[5,7,2,1,4,3,6] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,2,1,4,6,3] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[5,7,2,1,6,3,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,2,1,6,4,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,2,3,1,4,6] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[5,7,2,3,1,6,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,2,3,4,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,2,3,4,6,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[5,7,2,3,6,1,4] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,2,3,6,4,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[5,7,2,4,1,3,6] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[5,7,2,4,1,6,3] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,2,4,3,1,6] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,2,4,3,6,1] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[5,7,2,4,6,1,3] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,2,4,6,3,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[5,7,2,6,1,3,4] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[5,7,2,6,1,4,3] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,2,6,3,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,2,6,3,4,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,2,6,4,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[5,7,2,6,4,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,3,1,2,4,6] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[5,7,3,1,2,6,4] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,3,1,4,2,6] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,3,1,4,6,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[5,7,3,1,6,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,3,1,6,4,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,3,2,1,4,6] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[5,7,3,2,1,6,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,3,2,4,1,6] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,3,2,4,6,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[5,7,3,2,6,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,3,2,6,4,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,3,4,1,2,6] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,3,4,1,6,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,3,4,2,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,3,4,2,6,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,3,4,6,1,2] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[5,7,3,4,6,2,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[5,7,3,6,1,2,4] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[5,7,3,6,1,4,2] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,3,6,2,1,4] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[5,7,3,6,2,4,1] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[5,7,3,6,4,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[5,7,3,6,4,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[5,7,4,1,2,3,6] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[5,7,4,1,2,6,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,1,3,2,6] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[5,7,4,1,3,6,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[5,7,4,1,6,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,1,6,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,2,1,3,6] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[5,7,4,2,1,6,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,2,3,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,2,3,6,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[5,7,4,2,6,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[5,7,4,2,6,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,3,1,2,6] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,3,1,6,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,3,2,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,3,2,6,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[5,7,4,3,6,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[5,7,4,3,6,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[5,7,4,6,1,2,3] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[5,7,4,6,1,3,2] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,4,6,2,1,3] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[5,7,4,6,2,3,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[5,7,4,6,3,1,2] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[5,7,4,6,3,2,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[5,7,6,1,2,3,4] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,7,6,1,2,4,3] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[5,7,6,1,3,2,4] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[5,7,6,1,3,4,2] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[5,7,6,1,4,2,3] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[5,7,6,1,4,3,2] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[5,7,6,2,1,3,4] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[5,7,6,2,1,4,3] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[5,7,6,2,3,1,4] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[5,7,6,2,3,4,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,7,6,2,4,1,3] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[5,7,6,2,4,3,1] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[5,7,6,3,1,2,4] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[5,7,6,3,1,4,2] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[5,7,6,3,2,1,4] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[5,7,6,3,2,4,1] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[5,7,6,3,4,1,2] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,7,6,3,4,2,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,7,6,4,1,2,3] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,7,6,4,1,3,2] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[5,7,6,4,2,1,3] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[5,7,6,4,2,3,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,7,6,4,3,1,2] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[5,7,6,4,3,2,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,1,2,3,4,5,7] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,1,2,3,4,7,5] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,1,2,3,5,4,7] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[6,1,2,3,5,7,4] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[6,1,2,3,7,4,5] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,1,2,3,7,5,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,1,2,4,3,5,7] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,1,2,4,3,7,5] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[6,1,2,4,5,3,7] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[6,1,2,4,5,7,3] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[6,1,2,4,7,3,5] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,1,2,4,7,5,3] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,1,2,5,3,4,7] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,1,2,5,3,7,4] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,1,2,5,4,3,7] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,1,2,5,4,7,3] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,1,2,5,7,3,4] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,1,2,5,7,4,3] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,1,2,7,3,4,5] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,1,2,7,3,5,4] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,1,2,7,4,3,5] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,1,2,7,4,5,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,1,2,7,5,3,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,1,2,7,5,4,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,1,3,2,4,5,7] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,1,3,2,4,7,5] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,3,2,5,4,7] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[6,1,3,2,5,7,4] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,1,3,2,7,4,5] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,1,3,2,7,5,4] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,1,3,4,2,5,7] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,1,3,4,2,7,5] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[6,1,3,4,5,2,7] => [1,3,4,5,2,7,6] => [3,6,2,4,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3
[6,1,3,4,5,7,2] => [1,3,4,5,7,2,6] => [2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[6,1,3,4,7,2,5] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[6,1,3,4,7,5,2] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[6,1,3,5,2,4,7] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,1,3,5,2,7,4] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,1,3,5,4,2,7] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,1,3,5,4,7,2] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,1,3,5,7,2,4] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[6,1,3,5,7,4,2] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[6,1,3,7,2,4,5] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,1,3,7,2,5,4] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,1,3,7,4,2,5] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,1,3,7,4,5,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,1,3,7,5,2,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,1,3,7,5,4,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,1,4,2,3,5,7] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,1,4,2,3,7,5] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,4,2,5,3,7] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[6,1,4,2,5,7,3] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,1,4,2,7,3,5] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,4,2,7,5,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,4,3,2,5,7] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,1,4,3,2,7,5] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,4,3,5,2,7] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,1,4,3,5,7,2] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,1,4,3,7,2,5] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[6,1,4,3,7,5,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,4,5,2,3,7] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,1,4,5,2,7,3] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,1,4,5,3,2,7] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,1,4,5,3,7,2] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,1,4,5,7,2,3] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[6,1,4,5,7,3,2] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[6,1,4,7,2,3,5] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,1,4,7,2,5,3] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,1,4,7,3,2,5] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,1,4,7,3,5,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,1,4,7,5,2,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,1,4,7,5,3,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,1,5,2,3,4,7] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,1,5,2,3,7,4] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,1,5,2,4,3,7] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[6,1,5,2,4,7,3] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,5,2,7,3,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,1,5,2,7,4,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,1,5,3,2,4,7] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,5,3,2,7,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,1,5,3,4,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,1,5,3,4,7,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,1,5,3,7,2,4] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[6,1,5,3,7,4,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,1,5,4,2,3,7] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,1,5,4,2,7,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,1,5,4,3,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,1,5,4,3,7,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,1,5,4,7,2,3] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,1,5,4,7,3,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,1,5,7,2,3,4] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,1,5,7,2,4,3] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,1,5,7,3,2,4] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,1,5,7,3,4,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,1,5,7,4,2,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,1,5,7,4,3,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,1,7,2,3,4,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,1,7,2,3,5,4] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,1,7,2,4,3,5] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,7,2,4,5,3] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,1,7,2,5,3,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,7,2,5,4,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,7,3,2,4,5] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,1,7,3,2,5,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,7,3,4,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,7,3,4,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,1,7,3,5,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,7,3,5,4,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,1,7,4,2,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,1,7,4,2,5,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,7,4,3,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,1,7,4,3,5,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,1,7,4,5,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,1,7,4,5,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,1,7,5,2,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,1,7,5,2,4,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,7,5,3,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,1,7,5,3,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,1,7,5,4,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,1,7,5,4,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,2,1,3,4,5,7] => [1,3,4,5,7,2,6] => [2,1,4,5,6,7,3] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 2
[6,2,1,3,4,7,5] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[6,2,1,3,5,4,7] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,2,1,3,5,7,4] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[6,2,1,3,7,4,5] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,2,1,3,7,5,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,2,1,4,3,5,7] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,2,1,4,3,7,5] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,2,1,4,5,3,7] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,2,1,4,5,7,3] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[6,2,1,4,7,3,5] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,2,1,4,7,5,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,2,1,5,3,4,7] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,2,1,5,3,7,4] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,2,1,5,4,3,7] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,2,1,5,4,7,3] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,2,1,5,7,3,4] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,2,1,5,7,4,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,2,1,7,3,4,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,2,1,7,3,5,4] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,2,1,7,4,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,2,1,7,4,5,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,2,1,7,5,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,2,1,7,5,4,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,2,3,1,4,5,7] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[6,2,3,1,4,7,5] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,2,3,1,5,4,7] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,2,3,1,5,7,4] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,2,3,1,7,4,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,2,3,1,7,5,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,2,3,4,1,5,7] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,2,3,4,1,7,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,2,3,4,5,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,2,3,4,5,7,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,2,3,4,7,1,5] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,2,3,4,7,5,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,2,3,5,1,4,7] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,2,3,5,1,7,4] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,2,3,5,4,1,7] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,2,3,5,4,7,1] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[6,2,3,5,7,1,4] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,2,3,5,7,4,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[6,2,3,7,1,4,5] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,2,3,7,1,5,4] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,2,3,7,4,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,2,3,7,4,5,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,2,3,7,5,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,2,3,7,5,4,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,2,4,1,3,5,7] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[6,2,4,1,3,7,5] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,2,4,1,5,3,7] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[6,2,4,1,5,7,3] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,2,4,1,7,3,5] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,2,4,1,7,5,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,2,4,3,1,5,7] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,2,4,3,1,7,5] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,2,4,3,5,1,7] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,2,4,3,5,7,1] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,2,4,3,7,1,5] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[6,2,4,3,7,5,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[6,2,4,5,1,3,7] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,2,4,5,1,7,3] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,2,4,5,3,1,7] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,2,4,5,3,7,1] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[6,2,4,5,7,1,3] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,2,4,5,7,3,1] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[6,2,4,7,1,3,5] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,2,4,7,1,5,3] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,2,4,7,3,1,5] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,2,4,7,3,5,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,2,4,7,5,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,2,4,7,5,3,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,2,5,1,3,4,7] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[6,2,5,1,3,7,4] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,2,5,1,4,3,7] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[6,2,5,1,4,7,3] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,2,5,1,7,3,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,2,5,1,7,4,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,2,5,3,1,4,7] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,2,5,3,1,7,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,2,5,3,4,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,2,5,3,4,7,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,2,5,3,7,1,4] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[6,2,5,3,7,4,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,2,5,4,1,3,7] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,2,5,4,1,7,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,2,5,4,3,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,2,5,4,3,7,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,2,5,4,7,1,3] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[6,2,5,4,7,3,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,2,5,7,1,3,4] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,2,5,7,1,4,3] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,2,5,7,3,1,4] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,2,5,7,3,4,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,2,5,7,4,1,3] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,2,5,7,4,3,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,2,7,1,3,4,5] => [1,3,4,5,2,7,6] => [3,6,2,4,5,7,1] => [1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 3
[6,2,7,1,3,5,4] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,2,7,1,4,3,5] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,2,7,1,4,5,3] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,2,7,1,5,3,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,2,7,1,5,4,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,2,7,3,1,4,5] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,2,7,3,1,5,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,2,7,3,4,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,2,7,3,4,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,2,7,3,5,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,2,7,3,5,4,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,2,7,4,1,3,5] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,2,7,4,1,5,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,2,7,4,3,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,2,7,4,3,5,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,2,7,4,5,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,2,7,4,5,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,2,7,5,1,3,4] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[6,2,7,5,1,4,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,2,7,5,3,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,2,7,5,3,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,2,7,5,4,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,2,7,5,4,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,3,1,2,4,5,7] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[6,3,1,2,4,7,5] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,3,1,2,5,4,7] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,3,1,2,5,7,4] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,3,1,2,7,4,5] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,3,1,2,7,5,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,3,1,4,2,5,7] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,3,1,4,2,7,5] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,3,1,4,5,2,7] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,3,1,4,5,7,2] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[6,3,1,4,7,2,5] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,3,1,4,7,5,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,3,1,5,2,4,7] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,3,1,5,2,7,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,3,1,5,4,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,3,1,5,4,7,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,3,1,5,7,2,4] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,3,1,5,7,4,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,3,1,7,2,4,5] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,3,1,7,2,5,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,3,1,7,4,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,3,1,7,4,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,3,1,7,5,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,3,1,7,5,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,3,2,1,4,5,7] => [1,4,5,7,2,3,6] => [2,1,3,5,6,7,4] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 2
[6,3,2,1,4,7,5] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,3,2,1,5,4,7] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,3,2,1,5,7,4] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,3,2,1,7,4,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,3,2,1,7,5,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,3,2,4,1,5,7] => [1,5,7,2,4,3,6] => [3,2,6,1,5,7,4] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,3,2,4,1,7,5] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,3,2,4,5,1,7] => [1,7,2,4,5,3,6] => [3,2,6,1,4,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,3,2,4,5,7,1] => [1,2,4,5,7,3,6] => [2,3,1,5,6,7,4] => [1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 2
[6,3,2,4,7,1,5] => [1,5,2,4,7,3,6] => [3,2,1,6,5,7,4] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,3,2,4,7,5,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,3,2,5,1,4,7] => [1,4,7,2,5,3,6] => [3,2,6,4,1,7,5] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,3,2,5,1,7,4] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,3,2,5,4,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,3,2,5,4,7,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,3,2,5,7,1,4] => [1,4,2,5,7,3,6] => [3,4,1,5,6,7,2] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,3,2,5,7,4,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,3,2,7,1,4,5] => [1,4,5,2,7,3,6] => [3,5,1,4,6,7,2] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,3,2,7,1,5,4] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,3,2,7,4,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,3,2,7,4,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,3,2,7,5,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,3,2,7,5,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,3,4,1,2,5,7] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,3,4,1,2,7,5] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,3,4,1,5,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,3,4,1,5,7,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,3,4,1,7,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,3,4,1,7,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,3,4,2,1,5,7] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,3,4,2,1,7,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,3,4,2,5,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,3,4,2,5,7,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,3,4,2,7,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,3,4,2,7,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,3,4,5,1,2,7] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,3,4,5,1,7,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,3,4,5,2,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,3,4,5,2,7,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,3,4,5,7,1,2] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,3,4,5,7,2,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,3,4,7,1,2,5] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,3,4,7,1,5,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,3,4,7,2,1,5] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,3,4,7,2,5,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,3,4,7,5,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,3,4,7,5,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,3,5,1,2,4,7] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,3,5,1,2,7,4] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,3,5,1,4,2,7] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,3,5,1,4,7,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,3,5,1,7,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,3,5,1,7,4,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,3,5,2,1,4,7] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,3,5,2,1,7,4] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,3,5,2,4,1,7] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,3,5,2,4,7,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,3,5,2,7,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,3,5,2,7,4,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,3,5,4,1,2,7] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,3,5,4,1,7,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,3,5,4,2,1,7] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,3,5,4,2,7,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,3,5,4,7,1,2] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[6,3,5,4,7,2,1] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[6,3,5,7,1,2,4] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,3,5,7,1,4,2] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,3,5,7,2,1,4] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,3,5,7,2,4,1] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,3,5,7,4,1,2] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[6,3,5,7,4,2,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[6,3,7,1,2,4,5] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[6,3,7,1,2,5,4] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,3,7,1,4,2,5] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[6,3,7,1,4,5,2] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,3,7,1,5,2,4] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[6,3,7,1,5,4,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,3,7,2,1,4,5] => [1,4,5,2,3,7,6] => [3,2,6,4,5,7,1] => [1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 3
[6,3,7,2,1,5,4] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,3,7,2,4,1,5] => [1,5,2,4,3,7,6] => [4,3,6,5,2,7,1] => [1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 4
[6,3,7,2,4,5,1] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => [1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 3
[6,3,7,2,5,1,4] => [1,4,2,5,3,7,6] => [4,5,6,2,3,7,1] => [1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 4
[6,3,7,2,5,4,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,3,7,4,1,2,5] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,3,7,4,1,5,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,3,7,4,2,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,3,7,4,2,5,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,3,7,4,5,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,3,7,4,5,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,3,7,5,1,2,4] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[6,3,7,5,1,4,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,3,7,5,2,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,3,7,5,2,4,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[6,3,7,5,4,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,3,7,5,4,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,4,1,2,3,5,7] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[6,4,1,2,3,7,5] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,4,1,2,5,3,7] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,4,1,2,5,7,3] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,4,1,2,7,3,5] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,4,1,2,7,5,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,4,1,3,2,5,7] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,1,3,2,7,5] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,4,1,3,5,2,7] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,4,1,3,5,7,2] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[6,4,1,3,7,2,5] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,4,1,3,7,5,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,4,1,5,2,3,7] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,4,1,5,2,7,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,1,5,3,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,1,5,3,7,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,4,1,5,7,2,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,4,1,5,7,3,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,4,1,7,2,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,1,7,2,5,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,4,1,7,3,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,4,1,7,3,5,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,1,7,5,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,1,7,5,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,2,1,3,5,7] => [1,3,5,7,2,4,6] => [2,1,4,3,6,7,5] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 2
[6,4,2,1,3,7,5] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,4,2,1,5,3,7] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,4,2,1,5,7,3] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,4,2,1,7,3,5] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,2,1,7,5,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,2,3,1,5,7] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,4,2,3,1,7,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,2,3,5,1,7] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,2,3,5,7,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[6,4,2,3,7,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,4,2,3,7,5,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,4,2,5,1,3,7] => [1,3,7,2,5,4,6] => [3,2,5,6,1,7,4] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,4,2,5,1,7,3] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,4,2,5,3,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,4,2,5,3,7,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,4,2,5,7,1,3] => [1,3,2,5,7,4,6] => [3,4,2,1,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,2,5,7,3,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,4,2,7,1,3,5] => [1,3,5,2,7,4,6] => [3,5,2,1,6,7,4] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,4,2,7,1,5,3] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,2,7,3,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,2,7,3,5,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,4,2,7,5,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,4,2,7,5,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,4,3,1,2,5,7] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,4,3,1,2,7,5] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,4,3,1,5,2,7] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,3,1,5,7,2] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,4,3,1,7,2,5] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,4,3,1,7,5,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,3,2,1,5,7] => [1,5,7,2,3,4,6] => [2,1,3,4,6,7,5] => [1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 2
[6,4,3,2,1,7,5] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,3,2,5,1,7] => [1,7,2,5,3,4,6] => [3,2,1,6,4,7,5] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 3
[6,4,3,2,5,7,1] => [1,2,5,7,3,4,6] => [2,3,1,4,6,7,5] => [1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 2
[6,4,3,2,7,1,5] => [1,5,2,7,3,4,6] => [3,4,1,2,6,7,5] => [1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 3
[6,4,3,2,7,5,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,4,3,5,1,2,7] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,4,3,5,1,7,2] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,3,5,2,1,7] => [1,7,2,3,5,4,6] => [3,2,4,6,1,7,5] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,3,5,2,7,1] => [1,2,7,3,5,4,6] => [3,4,2,6,1,7,5] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,4,3,5,7,1,2] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[6,4,3,5,7,2,1] => [1,2,3,5,7,4,6] => [2,3,4,1,6,7,5] => [1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 2
[6,4,3,7,1,2,5] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,4,3,7,1,5,2] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,4,3,7,2,1,5] => [1,5,2,3,7,4,6] => [3,2,5,1,6,7,4] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,4,3,7,2,5,1] => [1,2,5,3,7,4,6] => [3,4,5,1,6,7,2] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,4,3,7,5,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,4,3,7,5,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,4,5,1,2,3,7] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,4,5,1,2,7,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,1,3,2,7] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,4,5,1,3,7,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,4,5,1,7,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,1,7,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,2,1,3,7] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,4,5,2,1,7,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,2,3,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,2,3,7,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,4,5,2,7,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,4,5,2,7,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,3,1,2,7] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,3,1,7,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,3,2,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,3,2,7,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,4,5,3,7,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,4,5,3,7,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,4,5,7,1,2,3] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,4,5,7,1,3,2] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,4,5,7,2,1,3] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,4,5,7,2,3,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,4,5,7,3,1,2] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,4,5,7,3,2,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,4,7,1,2,3,5] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[6,4,7,1,2,5,3] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,4,7,1,3,2,5] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[6,4,7,1,3,5,2] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,4,7,1,5,2,3] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,7,1,5,3,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,7,2,1,3,5] => [1,3,5,2,4,7,6] => [3,2,5,6,4,7,1] => [1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 3
[6,4,7,2,1,5,3] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,7,2,3,1,5] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,7,2,3,5,1] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[6,4,7,2,5,1,3] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => [1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 4
[6,4,7,2,5,3,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,4,7,3,1,2,5] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,4,7,3,1,5,2] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,7,3,2,1,5] => [1,5,2,3,4,7,6] => [3,2,4,6,5,7,1] => [1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 3
[6,4,7,3,2,5,1] => [1,2,5,3,4,7,6] => [3,4,2,6,5,7,1] => [1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 3
[6,4,7,3,5,1,2] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[6,4,7,3,5,2,1] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => [1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 3
[6,4,7,5,1,2,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,4,7,5,1,3,2] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,4,7,5,2,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,4,7,5,2,3,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,4,7,5,3,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,4,7,5,3,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,5,1,2,3,4,7] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,5,1,2,3,7,4] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,5,1,2,4,3,7] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[6,5,1,2,4,7,3] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,5,1,2,7,3,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,1,2,7,4,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,1,3,2,4,7] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,1,3,2,7,4] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,5,1,3,4,2,7] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[6,5,1,3,4,7,2] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[6,5,1,3,7,2,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,5,1,3,7,4,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,5,1,4,2,3,7] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,1,4,2,7,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,1,4,3,2,7] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,1,4,3,7,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,1,4,7,2,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,5,1,4,7,3,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,5,1,7,2,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,1,7,2,4,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,1,7,3,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,1,7,3,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,1,7,4,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,1,7,4,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,2,1,3,4,7] => [1,3,4,7,2,5,6] => [2,1,4,5,3,7,6] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 2
[6,5,2,1,3,7,4] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,5,2,1,4,3,7] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,2,1,4,7,3] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,5,2,1,7,3,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,2,1,7,4,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,2,3,1,4,7] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,5,2,3,1,7,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,2,3,4,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,2,3,4,7,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,5,2,3,7,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,2,3,7,4,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,5,2,4,1,3,7] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,5,2,4,1,7,3] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,2,4,3,1,7] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,2,4,3,7,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[6,5,2,4,7,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,2,4,7,3,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,5,2,7,1,3,4] => [1,3,4,2,7,5,6] => [3,5,2,4,1,7,6] => [1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 3
[6,5,2,7,1,4,3] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,2,7,3,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,2,7,3,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,2,7,4,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,5,2,7,4,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,3,1,2,4,7] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,5,3,1,2,7,4] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,3,1,4,2,7] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,3,1,4,7,2] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,5,3,1,7,2,4] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,3,1,7,4,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,3,2,1,4,7] => [1,4,7,2,3,5,6] => [2,1,3,5,4,7,6] => [1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 2
[6,5,3,2,1,7,4] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,3,2,4,1,7] => [1,7,2,4,3,5,6] => [3,2,5,1,4,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,3,2,4,7,1] => [1,2,4,7,3,5,6] => [2,3,1,5,4,7,6] => [1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 2
[6,5,3,2,7,1,4] => [1,4,2,7,3,5,6] => [3,4,1,5,2,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,3,2,7,4,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,3,4,1,2,7] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,3,4,1,7,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,3,4,2,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,3,4,2,7,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,3,4,7,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,5,3,4,7,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,5,3,7,1,2,4] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[6,5,3,7,1,4,2] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,3,7,2,1,4] => [1,4,2,3,7,5,6] => [3,2,5,4,1,7,6] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 3
[6,5,3,7,2,4,1] => [1,2,4,3,7,5,6] => [3,4,5,2,1,7,6] => [1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 3
[6,5,3,7,4,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,5,3,7,4,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,5,4,1,2,3,7] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,5,4,1,2,7,3] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,1,3,2,7] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,5,4,1,3,7,2] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,5,4,1,7,2,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,1,7,3,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,2,1,3,7] => [1,3,7,2,4,5,6] => [2,1,4,3,5,7,6] => [1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 2
[6,5,4,2,1,7,3] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,2,3,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,2,3,7,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,5,4,2,7,1,3] => [1,3,2,7,4,5,6] => [3,4,2,1,5,7,6] => [1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 3
[6,5,4,2,7,3,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,3,1,2,7] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,3,1,7,2] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,3,2,1,7] => [1,7,2,3,4,5,6] => [2,1,3,4,5,7,6] => [1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,3,2,7,1] => [1,2,7,3,4,5,6] => [2,3,1,4,5,7,6] => [1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 2
[6,5,4,3,7,1,2] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,5,4,3,7,2,1] => [1,2,3,7,4,5,6] => [2,3,4,1,5,7,6] => [1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 2
[6,5,4,7,1,2,3] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,5,4,7,1,3,2] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,4,7,2,1,3] => [1,3,2,4,7,5,6] => [3,4,2,5,1,7,6] => [1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 3
[6,5,4,7,2,3,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,5,4,7,3,1,2] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,5,4,7,3,2,1] => [1,2,3,4,7,5,6] => [2,3,4,5,1,7,6] => [1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 2
[6,5,7,1,2,3,4] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,5,7,1,2,4,3] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,5,7,1,3,2,4] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,5,7,1,3,4,2] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,5,7,1,4,2,3] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,5,7,1,4,3,2] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,5,7,2,1,3,4] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => [1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 3
[6,5,7,2,1,4,3] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,5,7,2,3,1,4] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,5,7,2,3,4,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,5,7,2,4,1,3] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,5,7,2,4,3,1] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,5,7,3,1,2,4] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,5,7,3,1,4,2] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,5,7,3,2,1,4] => [1,4,2,3,5,7,6] => [3,2,5,4,6,7,1] => [1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 3
[6,5,7,3,2,4,1] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => [1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 3
[6,5,7,3,4,1,2] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,5,7,3,4,2,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,5,7,4,1,2,3] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,5,7,4,1,3,2] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,5,7,4,2,1,3] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => [1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 3
[6,5,7,4,2,3,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,5,7,4,3,1,2] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,5,7,4,3,2,1] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => [1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 2
[6,7,1,2,3,4,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,1,2,3,5,4] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,7,1,2,4,3,5] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,7,1,2,4,5,3] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[6,7,1,2,5,3,4] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,1,2,5,4,3] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,1,3,2,4,5] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,7,1,3,2,5,4] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[6,7,1,3,4,2,5] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[6,7,1,3,4,5,2] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[6,7,1,3,5,2,4] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[6,7,1,3,5,4,2] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[6,7,1,4,2,3,5] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,1,4,2,5,3] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[6,7,1,4,3,2,5] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[6,7,1,4,3,5,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,1,4,5,2,3] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[6,7,1,4,5,3,2] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[6,7,1,5,2,3,4] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,1,5,2,4,3] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[6,7,1,5,3,2,4] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[6,7,1,5,3,4,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,1,5,4,2,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,1,5,4,3,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,2,1,3,4,5] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[6,7,2,1,3,5,4] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[6,7,2,1,4,3,5] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,2,1,4,5,3] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[6,7,2,1,5,3,4] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,2,1,5,4,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,2,3,1,4,5] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[6,7,2,3,1,5,4] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,2,3,4,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,2,3,4,5,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,2,3,5,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,2,3,5,4,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,7,2,4,1,3,5] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[6,7,2,4,1,5,3] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[6,7,2,4,3,1,5] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[6,7,2,4,3,5,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,7,2,4,5,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,7,2,4,5,3,1] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[6,7,2,5,1,3,4] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[6,7,2,5,1,4,3] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[6,7,2,5,3,1,4] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[6,7,2,5,3,4,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,2,5,4,1,3] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[6,7,2,5,4,3,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,3,1,2,4,5] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[6,7,3,1,2,5,4] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,3,1,4,2,5] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[6,7,3,1,4,5,2] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[6,7,3,1,5,2,4] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[6,7,3,1,5,4,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,3,2,1,4,5] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[6,7,3,2,1,5,4] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,3,2,4,1,5] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[6,7,3,2,4,5,1] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[6,7,3,2,5,1,4] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[6,7,3,2,5,4,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,3,4,1,2,5] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,3,4,1,5,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,3,4,2,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,3,4,2,5,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,3,4,5,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,3,4,5,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,3,5,1,2,4] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,7,3,5,1,4,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,3,5,2,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,3,5,2,4,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,7,3,5,4,1,2] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,7,3,5,4,2,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,7,4,1,2,3,5] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,7,4,1,2,5,3] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,1,3,2,5] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[6,7,4,1,3,5,2] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[6,7,4,1,5,2,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,1,5,3,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,2,1,3,5] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[6,7,4,2,1,5,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,2,3,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,2,3,5,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,7,4,2,5,1,3] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[6,7,4,2,5,3,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,3,1,2,5] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,3,1,5,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,3,2,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,3,2,5,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[6,7,4,3,5,1,2] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,7,4,3,5,2,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[6,7,4,5,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,4,5,1,3,2] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,7,4,5,2,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,7,4,5,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,4,5,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,4,5,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,5,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,5,1,2,4,3] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,1,3,2,4] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,7,5,1,3,4,2] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[6,7,5,1,4,2,3] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,1,4,3,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,2,1,3,4] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[6,7,5,2,1,4,3] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,2,3,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,5,2,4,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,7,5,2,4,3,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,3,1,2,4] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,3,1,4,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,3,2,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,3,2,4,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[6,7,5,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,5,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,5,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,5,4,1,3,2] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,7,5,4,2,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[6,7,5,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,5,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[6,7,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,1,2,3,4,5,6] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,1,2,3,4,6,5] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,1,2,3,5,4,6] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,1,2,3,5,6,4] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[7,1,2,3,6,4,5] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,1,2,3,6,5,4] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,1,2,4,3,5,6] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,1,2,4,3,6,5] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[7,1,2,4,5,3,6] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[7,1,2,4,5,6,3] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[7,1,2,4,6,3,5] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,1,2,4,6,5,3] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,1,2,5,3,4,6] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,1,2,5,3,6,4] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,1,2,5,4,3,6] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,1,2,5,4,6,3] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,1,2,5,6,3,4] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,1,2,5,6,4,3] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,1,2,6,3,4,5] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,1,2,6,3,5,4] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,2,6,4,3,5] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,2,6,4,5,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,1,2,6,5,3,4] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,1,2,6,5,4,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,1,3,2,4,5,6] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,1,3,2,4,6,5] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,1,3,2,5,4,6] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[7,1,3,2,5,6,4] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,3,2,6,4,5] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,1,3,2,6,5,4] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,1,3,4,2,5,6] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,1,3,4,2,6,5] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[7,1,3,4,5,2,6] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[7,1,3,4,5,6,2] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[7,1,3,4,6,2,5] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[7,1,3,4,6,5,2] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[7,1,3,5,2,4,6] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,1,3,5,2,6,4] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[7,1,3,5,4,2,6] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[7,1,3,5,4,6,2] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,1,3,5,6,2,4] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[7,1,3,5,6,4,2] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[7,1,3,6,2,4,5] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,1,3,6,2,5,4] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,1,3,6,4,2,5] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,1,3,6,4,5,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,1,3,6,5,2,4] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,1,3,6,5,4,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,1,4,2,3,5,6] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,1,4,2,3,6,5] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,1,4,2,5,3,6] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,1,4,2,5,6,3] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[7,1,4,2,6,3,5] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,1,4,2,6,5,3] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,1,4,3,2,5,6] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[7,1,4,3,2,6,5] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,1,4,3,5,2,6] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,1,4,3,5,6,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,1,4,3,6,2,5] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,1,4,3,6,5,2] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,1,4,5,2,3,6] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,1,4,5,2,6,3] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[7,1,4,5,3,2,6] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[7,1,4,5,3,6,2] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,1,4,5,6,2,3] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[7,1,4,5,6,3,2] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[7,1,4,6,2,3,5] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,1,4,6,2,5,3] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,1,4,6,3,2,5] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,1,4,6,3,5,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,1,4,6,5,2,3] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,1,4,6,5,3,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,1,5,2,3,4,6] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,1,5,2,3,6,4] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,1,5,2,4,3,6] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,5,2,4,6,3] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,1,5,2,6,3,4] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,5,2,6,4,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,5,3,2,4,6] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,1,5,3,2,6,4] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,5,3,4,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,5,3,4,6,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,1,5,3,6,2,4] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,1,5,3,6,4,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,1,5,4,2,3,6] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,1,5,4,2,6,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,5,4,3,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,1,5,4,3,6,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,1,5,4,6,2,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,1,5,4,6,3,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,1,5,6,2,3,4] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,1,5,6,2,4,3] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,1,5,6,3,2,4] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,1,5,6,3,4,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,1,5,6,4,2,3] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,1,5,6,4,3,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,1,6,2,3,4,5] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,1,6,2,3,5,4] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,1,6,2,4,3,5] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,1,6,2,4,5,3] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,1,6,2,5,3,4] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,2,5,4,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,3,2,4,5] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,1,6,3,2,5,4] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,3,4,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,3,4,5,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,1,6,3,5,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,1,6,3,5,4,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,1,6,4,2,3,5] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,1,6,4,2,5,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,4,3,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,1,6,4,3,5,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,1,6,4,5,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,1,6,4,5,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,1,6,5,2,3,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,1,6,5,2,4,3] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,1,6,5,3,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,1,6,5,3,4,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,1,6,5,4,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,1,6,5,4,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,2,1,3,4,5,6] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => [1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 2
[7,2,1,3,4,6,5] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[7,2,1,3,5,4,6] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,2,1,3,5,6,4] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[7,2,1,3,6,4,5] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,2,1,3,6,5,4] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,2,1,4,3,5,6] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,2,1,4,3,6,5] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,2,1,4,5,3,6] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,2,1,4,5,6,3] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[7,2,1,4,6,3,5] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,2,1,4,6,5,3] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,2,1,5,3,4,6] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,2,1,5,3,6,4] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,2,1,5,4,3,6] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,2,1,5,4,6,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,2,1,5,6,3,4] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,2,1,5,6,4,3] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,2,1,6,3,4,5] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,2,1,6,3,5,4] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,2,1,6,4,3,5] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,2,1,6,4,5,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,2,1,6,5,3,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,2,1,6,5,4,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,2,3,1,4,5,6] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[7,2,3,1,4,6,5] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,2,3,1,5,4,6] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,2,3,1,5,6,4] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,2,3,1,6,4,5] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,2,3,1,6,5,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,2,3,4,1,5,6] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,2,3,4,1,6,5] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,2,3,4,5,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,2,3,4,5,6,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,2,3,4,6,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,2,3,4,6,5,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,2,3,5,1,4,6] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,2,3,5,1,6,4] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,2,3,5,4,1,6] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,2,3,5,4,6,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,2,3,5,6,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,2,3,5,6,4,1] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[7,2,3,6,1,4,5] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,2,3,6,1,5,4] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,2,3,6,4,1,5] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,2,3,6,4,5,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,2,3,6,5,1,4] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,2,3,6,5,4,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,2,4,1,3,5,6] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[7,2,4,1,3,6,5] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,2,4,1,5,3,6] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,2,4,1,5,6,3] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,2,4,1,6,3,5] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,2,4,1,6,5,3] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,2,4,3,1,5,6] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,2,4,3,1,6,5] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,2,4,3,5,1,6] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,2,4,3,5,6,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,2,4,3,6,1,5] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,2,4,3,6,5,1] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[7,2,4,5,1,3,6] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,2,4,5,1,6,3] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,2,4,5,3,1,6] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,2,4,5,3,6,1] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[7,2,4,5,6,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,2,4,5,6,3,1] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[7,2,4,6,1,3,5] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,2,4,6,1,5,3] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,2,4,6,3,1,5] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,2,4,6,3,5,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,2,4,6,5,1,3] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,2,4,6,5,3,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,2,5,1,3,4,6] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[7,2,5,1,3,6,4] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,2,5,1,4,3,6] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,2,5,1,4,6,3] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,2,5,1,6,3,4] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,2,5,1,6,4,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,2,5,3,1,4,6] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,2,5,3,1,6,4] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,2,5,3,4,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,2,5,3,4,6,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,2,5,3,6,1,4] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,2,5,3,6,4,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,2,5,4,1,3,6] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,2,5,4,1,6,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,2,5,4,3,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,2,5,4,3,6,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,2,5,4,6,1,3] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[7,2,5,4,6,3,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,2,5,6,1,3,4] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,2,5,6,1,4,3] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[7,2,5,6,3,1,4] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[7,2,5,6,3,4,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,2,5,6,4,1,3] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,5,6,4,3,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,2,6,1,3,4,5] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[7,2,6,1,3,5,4] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[7,2,6,1,4,3,5] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,2,6,1,4,5,3] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[7,2,6,1,5,3,4] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,6,1,5,4,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,6,3,1,4,5] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[7,2,6,3,1,5,4] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,6,3,4,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,6,3,4,5,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,2,6,3,5,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,2,6,3,5,4,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,6,4,1,3,5] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[7,2,6,4,1,5,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,6,4,3,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,6,4,3,5,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,2,6,4,5,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,2,6,4,5,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,2,6,5,1,3,4] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[7,2,6,5,1,4,3] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,2,6,5,3,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,2,6,5,3,4,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,2,6,5,4,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,2,6,5,4,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,3,1,2,4,5,6] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[7,3,1,2,4,6,5] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,3,1,2,5,4,6] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,3,1,2,5,6,4] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,3,1,2,6,4,5] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,3,1,2,6,5,4] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,3,1,4,2,5,6] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[7,3,1,4,2,6,5] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,3,1,4,5,2,6] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[7,3,1,4,5,6,2] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[7,3,1,4,6,2,5] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,3,1,4,6,5,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,3,1,5,2,4,6] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,3,1,5,2,6,4] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,1,5,4,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,1,5,4,6,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,3,1,5,6,2,4] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,3,1,5,6,4,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,3,1,6,2,4,5] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,3,1,6,2,5,4] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,3,1,6,4,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,3,1,6,4,5,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,3,1,6,5,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,3,1,6,5,4,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,3,2,1,4,5,6] => [1,4,5,6,2,3,7] => [2,1,6,3,4,5,7] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 2
[7,3,2,1,4,6,5] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,3,2,1,5,4,6] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,3,2,1,5,6,4] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,3,2,1,6,4,5] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,3,2,1,6,5,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,3,2,4,1,5,6] => [1,5,6,2,4,3,7] => [3,2,6,5,1,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,3,2,4,1,6,5] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,3,2,4,5,1,6] => [1,6,2,4,5,3,7] => [3,2,6,1,5,4,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,3,2,4,5,6,1] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => [1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 2
[7,3,2,4,6,1,5] => [1,5,2,4,6,3,7] => [3,2,6,4,1,5,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,3,2,4,6,5,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,3,2,5,1,4,6] => [1,4,6,2,5,3,7] => [3,2,6,4,5,1,7] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 3
[7,3,2,5,1,6,4] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,3,2,5,4,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,3,2,5,4,6,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,3,2,5,6,1,4] => [1,4,2,5,6,3,7] => [3,4,6,1,2,5,7] => [1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 3
[7,3,2,5,6,4,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,3,2,6,1,4,5] => [1,4,5,2,6,3,7] => [3,5,6,1,2,4,7] => [1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 3
[7,3,2,6,1,5,4] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,2,6,4,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,2,6,4,5,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,3,2,6,5,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,3,2,6,5,4,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,3,4,1,2,5,6] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,3,4,1,2,6,5] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,3,4,1,5,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,4,1,5,6,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,3,4,1,6,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,3,4,1,6,5,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,3,4,2,1,5,6] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,3,4,2,1,6,5] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,3,4,2,5,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,3,4,2,5,6,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,3,4,2,6,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,4,2,6,5,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,3,4,5,1,2,6] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,3,4,5,1,6,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,3,4,5,2,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,3,4,5,2,6,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,3,4,5,6,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,3,4,5,6,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,3,4,6,1,2,5] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,3,4,6,1,5,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,3,4,6,2,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,3,4,6,2,5,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,3,4,6,5,1,2] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,3,4,6,5,2,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,3,5,1,2,4,6] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,3,5,1,2,6,4] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,5,1,4,2,6] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,3,5,1,4,6,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,3,5,1,6,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,3,5,1,6,4,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,3,5,2,1,4,6] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,3,5,2,1,6,4] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,3,5,2,4,1,6] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,3,5,2,4,6,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,3,5,2,6,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,3,5,2,6,4,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,5,4,1,2,6] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,5,4,1,6,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,3,5,4,2,1,6] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,3,5,4,2,6,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,3,5,4,6,1,2] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,3,5,4,6,2,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,3,5,6,1,2,4] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,3,5,6,1,4,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,3,5,6,2,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,3,5,6,2,4,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,3,5,6,4,1,2] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[7,3,5,6,4,2,1] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[7,3,6,1,2,4,5] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[7,3,6,1,2,5,4] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,3,6,1,4,2,5] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,3,6,1,4,5,2] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,3,6,1,5,2,4] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,3,6,1,5,4,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,3,6,2,1,4,5] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,3,6,2,1,5,4] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,3,6,2,4,1,5] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,3,6,2,4,5,1] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[7,3,6,2,5,1,4] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,3,6,2,5,4,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,3,6,4,1,2,5] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,3,6,4,1,5,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,3,6,4,2,1,5] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,3,6,4,2,5,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,3,6,4,5,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,3,6,4,5,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,3,6,5,1,2,4] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[7,3,6,5,1,4,2] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,3,6,5,2,1,4] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,3,6,5,2,4,1] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[7,3,6,5,4,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,3,6,5,4,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,1,2,3,5,6] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[7,4,1,2,3,6,5] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,1,2,5,3,6] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,4,1,2,5,6,3] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,4,1,2,6,3,5] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,1,2,6,5,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,4,1,3,2,5,6] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,1,3,2,6,5] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,4,1,3,5,2,6] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[7,4,1,3,5,6,2] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[7,4,1,3,6,2,5] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,4,1,3,6,5,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,4,1,5,2,3,6] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,4,1,5,2,6,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,1,5,3,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,1,5,3,6,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,4,1,5,6,2,3] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,4,1,5,6,3,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,4,1,6,2,3,5] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,4,1,6,2,5,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,4,1,6,3,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,4,1,6,3,5,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,4,1,6,5,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,1,6,5,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,2,1,3,5,6] => [1,3,5,6,2,4,7] => [2,1,4,6,3,5,7] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 2
[7,4,2,1,3,6,5] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,4,2,1,5,3,6] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,4,2,1,5,6,3] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,4,2,1,6,3,5] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,4,2,1,6,5,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,2,3,1,5,6] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,4,2,3,1,6,5] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,2,3,5,1,6] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,4,2,3,5,6,1] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[7,4,2,3,6,1,5] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,4,2,3,6,5,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,2,5,1,3,6] => [1,3,6,2,5,4,7] => [3,2,5,6,4,1,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,4,2,5,1,6,3] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,4,2,5,3,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,4,2,5,3,6,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,4,2,5,6,1,3] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,2,5,6,3,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,4,2,6,1,3,5] => [1,3,5,2,6,4,7] => [3,5,2,6,1,4,7] => [1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 3
[7,4,2,6,1,5,3] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,2,6,3,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,2,6,3,5,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,2,6,5,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,4,2,6,5,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,4,3,1,2,5,6] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,4,3,1,2,6,5] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,4,3,1,5,2,6] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,3,1,5,6,2] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,4,3,1,6,2,5] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,4,3,1,6,5,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,3,2,1,5,6] => [1,5,6,2,3,4,7] => [2,1,3,6,4,5,7] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 2
[7,4,3,2,1,6,5] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,3,2,5,1,6] => [1,6,2,5,3,4,7] => [3,2,1,6,5,4,7] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 3
[7,4,3,2,5,6,1] => [1,2,5,6,3,4,7] => [2,3,1,6,4,5,7] => [1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 2
[7,4,3,2,6,1,5] => [1,5,2,6,3,4,7] => [3,4,1,6,2,5,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,3,2,6,5,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,4,3,5,1,2,6] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,3,5,1,6,2] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,4,3,5,2,1,6] => [1,6,2,3,5,4,7] => [3,2,4,6,5,1,7] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 3
[7,4,3,5,2,6,1] => [1,2,6,3,5,4,7] => [3,4,2,6,5,1,7] => [1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 3
[7,4,3,5,6,1,2] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[7,4,3,5,6,2,1] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => [1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 2
[7,4,3,6,1,2,5] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,4,3,6,1,5,2] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,4,3,6,2,1,5] => [1,5,2,3,6,4,7] => [3,2,5,6,1,4,7] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 3
[7,4,3,6,2,5,1] => [1,2,5,3,6,4,7] => [3,4,5,6,1,2,7] => [1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 3
[7,4,3,6,5,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,3,6,5,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,5,1,2,3,6] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,5,1,2,6,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,1,3,2,6] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,4,5,1,3,6,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,4,5,1,6,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,1,6,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,2,1,3,6] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,4,5,2,1,6,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,2,3,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,2,3,6,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,5,2,6,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,4,5,2,6,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,3,1,2,6] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,3,1,6,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,3,2,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,3,2,6,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,4,5,3,6,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,5,3,6,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,4,5,6,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,4,5,6,1,3,2] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,4,5,6,2,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,4,5,6,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,4,5,6,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,4,5,6,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,4,6,1,2,3,5] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,4,6,1,2,5,3] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,1,3,2,5] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[7,4,6,1,3,5,2] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,4,6,1,5,2,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,1,5,3,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,2,1,3,5] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,4,6,2,1,5,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,2,3,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,2,3,5,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,4,6,2,5,1,3] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[7,4,6,2,5,3,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,3,1,2,5] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,3,1,5,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,3,2,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,3,2,5,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,4,6,3,5,1,2] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,4,6,3,5,2,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,4,6,5,1,2,3] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,4,6,5,1,3,2] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,4,6,5,2,1,3] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,4,6,5,2,3,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,4,6,5,3,1,2] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,4,6,5,3,2,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,5,1,2,3,4,6] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,5,1,2,3,6,4] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,5,1,2,4,3,6] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[7,5,1,2,4,6,3] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,5,1,2,6,3,4] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,1,2,6,4,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,1,3,2,4,6] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,1,3,2,6,4] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,5,1,3,4,2,6] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[7,5,1,3,4,6,2] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[7,5,1,3,6,2,4] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,5,1,3,6,4,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,5,1,4,2,3,6] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,1,4,2,6,3] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,1,4,3,2,6] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,1,4,3,6,2] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,1,4,6,2,3] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,5,1,4,6,3,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,5,1,6,2,3,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,1,6,2,4,3] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,1,6,3,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,1,6,3,4,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,1,6,4,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,1,6,4,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,2,1,3,4,6] => [1,3,4,6,2,5,7] => [2,1,4,5,6,3,7] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 2
[7,5,2,1,3,6,4] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,5,2,1,4,3,6] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,2,1,4,6,3] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,5,2,1,6,3,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,2,1,6,4,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,2,3,1,4,6] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,5,2,3,1,6,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,2,3,4,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,2,3,4,6,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,5,2,3,6,1,4] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,2,3,6,4,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,5,2,4,1,3,6] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,5,2,4,1,6,3] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,2,4,3,1,6] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,2,4,3,6,1] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[7,5,2,4,6,1,3] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,2,4,6,3,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,5,2,6,1,3,4] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => [1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 3
[7,5,2,6,1,4,3] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,2,6,3,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,2,6,3,4,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,2,6,4,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,5,2,6,4,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,3,1,2,4,6] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,5,3,1,2,6,4] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,3,1,4,2,6] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,3,1,4,6,2] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,5,3,1,6,2,4] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,3,1,6,4,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,3,2,1,4,6] => [1,4,6,2,3,5,7] => [2,1,3,5,6,4,7] => [1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 2
[7,5,3,2,1,6,4] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,3,2,4,1,6] => [1,6,2,4,3,5,7] => [3,2,5,1,6,4,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,3,2,4,6,1] => [1,2,4,6,3,5,7] => [2,3,1,5,6,4,7] => [1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 2
[7,5,3,2,6,1,4] => [1,4,2,6,3,5,7] => [3,4,1,5,6,2,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,3,2,6,4,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,3,4,1,2,6] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,3,4,1,6,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,3,4,2,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,3,4,2,6,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,3,4,6,1,2] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,5,3,4,6,2,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,5,3,6,1,2,4] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[7,5,3,6,1,4,2] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,3,6,2,1,4] => [1,4,2,3,6,5,7] => [3,2,5,4,6,1,7] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 3
[7,5,3,6,2,4,1] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => [1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 3
[7,5,3,6,4,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,5,3,6,4,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,5,4,1,2,3,6] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,5,4,1,2,6,3] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,1,3,2,6] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,5,4,1,3,6,2] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,5,4,1,6,2,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,1,6,3,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,2,1,3,6] => [1,3,6,2,4,5,7] => [2,1,4,3,6,5,7] => [1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 2
[7,5,4,2,1,6,3] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,2,3,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,2,3,6,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,5,4,2,6,1,3] => [1,3,2,6,4,5,7] => [3,4,2,1,6,5,7] => [1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 3
[7,5,4,2,6,3,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,3,1,2,6] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,3,1,6,2] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,3,2,1,6] => [1,6,2,3,4,5,7] => [2,1,3,4,6,5,7] => [1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,3,2,6,1] => [1,2,6,3,4,5,7] => [2,3,1,4,6,5,7] => [1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 2
[7,5,4,3,6,1,2] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,5,4,3,6,2,1] => [1,2,3,6,4,5,7] => [2,3,4,1,6,5,7] => [1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 2
[7,5,4,6,1,2,3] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,5,4,6,1,3,2] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,4,6,2,1,3] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => [1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 3
[7,5,4,6,2,3,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,5,4,6,3,1,2] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,5,4,6,3,2,1] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => [1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 2
[7,5,6,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,5,6,1,2,4,3] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,1,3,2,4] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,5,6,1,3,4,2] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,5,6,1,4,2,3] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,1,4,3,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,2,1,3,4] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,5,6,2,1,4,3] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,2,3,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,5,6,2,4,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,5,6,2,4,3,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,3,1,2,4] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,3,1,4,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,3,2,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,3,2,4,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,5,6,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,5,6,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,5,6,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,5,6,4,1,3,2] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,5,6,4,2,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,5,6,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,5,6,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,5,6,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,1,2,3,4,5] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,1,2,3,5,4] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,6,1,2,4,3,5] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,6,1,2,4,5,3] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[7,6,1,2,5,3,4] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,1,2,5,4,3] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,1,3,2,4,5] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,6,1,3,2,5,4] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[7,6,1,3,4,2,5] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,6,1,3,4,5,2] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[7,6,1,3,5,2,4] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,6,1,3,5,4,2] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,6,1,4,2,3,5] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,1,4,2,5,3] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,6,1,4,3,2,5] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,6,1,4,3,5,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,1,4,5,2,3] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,6,1,4,5,3,2] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,6,1,5,2,3,4] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,1,5,2,4,3] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,6,1,5,3,2,4] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,6,1,5,3,4,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,1,5,4,2,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,1,5,4,3,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,2,1,3,4,5] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => [1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 2
[7,6,2,1,3,5,4] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,6,2,1,4,3,5] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,2,1,4,5,3] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,6,2,1,5,3,4] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,2,1,5,4,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,2,3,1,4,5] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,6,2,3,1,5,4] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,2,3,4,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,2,3,4,5,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,2,3,5,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,2,3,5,4,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,6,2,4,1,3,5] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,6,2,4,1,5,3] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,6,2,4,3,1,5] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,6,2,4,3,5,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,6,2,4,5,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,6,2,4,5,3,1] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[7,6,2,5,1,3,4] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,6,2,5,1,4,3] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,6,2,5,3,1,4] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,6,2,5,3,4,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,2,5,4,1,3] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[7,6,2,5,4,3,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,3,1,2,4,5] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[7,6,3,1,2,5,4] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,3,1,4,2,5] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,6,3,1,4,5,2] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,6,3,1,5,2,4] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,6,3,1,5,4,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,3,2,1,4,5] => [1,4,5,2,3,6,7] => [2,1,5,3,4,6,7] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 2
[7,6,3,2,1,5,4] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,3,2,4,1,5] => [1,5,2,4,3,6,7] => [3,2,5,4,1,6,7] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 3
[7,6,3,2,4,5,1] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => [1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 2
[7,6,3,2,5,1,4] => [1,4,2,5,3,6,7] => [3,4,5,1,2,6,7] => [1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 3
[7,6,3,2,5,4,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,3,4,1,2,5] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,3,4,1,5,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,3,4,2,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,3,4,2,5,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,3,4,5,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,3,4,5,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,3,5,1,2,4] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,6,3,5,1,4,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,3,5,2,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,3,5,2,4,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,6,3,5,4,1,2] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,6,3,5,4,2,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,6,4,1,2,3,5] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,6,4,1,2,5,3] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,1,3,2,5] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[7,6,4,1,3,5,2] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,6,4,1,5,2,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,1,5,3,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,2,1,3,5] => [1,3,5,2,4,6,7] => [2,1,4,5,3,6,7] => [1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 2
[7,6,4,2,1,5,3] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,2,3,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,2,3,5,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,6,4,2,5,1,3] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => [1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 3
[7,6,4,2,5,3,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,3,1,2,5] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,3,1,5,2] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,3,2,1,5] => [1,5,2,3,4,6,7] => [2,1,3,5,4,6,7] => [1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,3,2,5,1] => [1,2,5,3,4,6,7] => [2,3,1,5,4,6,7] => [1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 2
[7,6,4,3,5,1,2] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,6,4,3,5,2,1] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => [1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 2
[7,6,4,5,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,4,5,1,3,2] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,6,4,5,2,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,6,4,5,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,4,5,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,4,5,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,5,1,2,3,4] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,5,1,2,4,3] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,1,3,2,4] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,6,5,1,3,4,2] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,6,5,1,4,2,3] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,1,4,3,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,2,1,3,4] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => [1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 2
[7,6,5,2,1,4,3] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,2,3,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,2,3,4,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,5,2,4,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,6,5,2,4,3,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,3,1,2,4] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,3,1,4,2] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,3,2,1,4] => [1,4,2,3,5,6,7] => [2,1,4,3,5,6,7] => [1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,3,2,4,1] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => [1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 2
[7,6,5,3,4,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,5,3,4,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,5,4,1,2,3] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,5,4,1,3,2] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,6,5,4,2,1,3] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => [1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 2
[7,6,5,4,2,3,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,5,4,3,1,2] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,2 8,16 16,88,16 32,416,272 64,1824,2880,272
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 4\ q + 2\ q^{2}$
$F_{4} = 8\ q + 16\ q^{2}$
$F_{5} = 16\ q + 88\ q^{2} + 16\ q^{3}$
$F_{6} = 32\ q + 416\ q^{2} + 272\ q^{3}$
$F_{7} = 64\ q + 1824\ q^{2} + 2880\ q^{3} + 272\ q^{4}$
Description
The number of initial rises of a Dyck path.
In other words, this is the height of the first peak of $D$.
In other words, this is the height of the first peak of $D$.
Map
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
This map sends the major index to the number of inversions.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
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