Identifier
-
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00309: Permutations —inverse toric promotion⟶ Permutations
St000002: Permutations ⟶ ℤ
Values
[1] => [1] => [1] => 0
[1,2] => [1,2] => [1,2] => 0
[2,1] => [1,2] => [1,2] => 0
[1,2,3] => [1,2,3] => [3,2,1] => 0
[1,3,2] => [1,3,2] => [2,3,1] => 0
[2,1,3] => [1,3,2] => [2,3,1] => 0
[2,3,1] => [1,2,3] => [3,2,1] => 0
[3,1,2] => [1,2,3] => [3,2,1] => 0
[3,2,1] => [1,2,3] => [3,2,1] => 0
[1,2,3,4] => [1,2,3,4] => [3,1,4,2] => 0
[1,2,4,3] => [1,2,4,3] => [3,2,1,4] => 0
[1,3,2,4] => [1,3,2,4] => [4,3,2,1] => 0
[1,3,4,2] => [1,3,4,2] => [4,2,1,3] => 0
[1,4,2,3] => [1,4,2,3] => [2,3,1,4] => 1
[1,4,3,2] => [1,4,2,3] => [2,3,1,4] => 1
[2,1,3,4] => [1,3,4,2] => [4,2,1,3] => 0
[2,1,4,3] => [1,4,2,3] => [2,3,1,4] => 1
[2,3,1,4] => [1,4,2,3] => [2,3,1,4] => 1
[2,3,4,1] => [1,2,3,4] => [3,1,4,2] => 0
[2,4,1,3] => [1,3,2,4] => [4,3,2,1] => 0
[2,4,3,1] => [1,2,4,3] => [3,2,1,4] => 0
[3,1,2,4] => [1,2,4,3] => [3,2,1,4] => 0
[3,1,4,2] => [1,4,2,3] => [2,3,1,4] => 1
[3,2,1,4] => [1,4,2,3] => [2,3,1,4] => 1
[3,2,4,1] => [1,2,4,3] => [3,2,1,4] => 0
[3,4,1,2] => [1,2,3,4] => [3,1,4,2] => 0
[3,4,2,1] => [1,2,3,4] => [3,1,4,2] => 0
[4,1,2,3] => [1,2,3,4] => [3,1,4,2] => 0
[4,1,3,2] => [1,3,2,4] => [4,3,2,1] => 0
[4,2,1,3] => [1,3,2,4] => [4,3,2,1] => 0
[4,2,3,1] => [1,2,3,4] => [3,1,4,2] => 0
[4,3,1,2] => [1,2,3,4] => [3,1,4,2] => 0
[4,3,2,1] => [1,2,3,4] => [3,1,4,2] => 0
[1,2,3,4,5] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[1,2,3,5,4] => [1,2,3,5,4] => [3,1,4,2,5] => 3
[1,2,4,3,5] => [1,2,4,3,5] => [3,1,5,4,2] => 0
[1,2,4,5,3] => [1,2,4,5,3] => [3,1,5,2,4] => 1
[1,2,5,3,4] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[1,2,5,4,3] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[1,3,2,4,5] => [1,3,2,4,5] => [4,3,1,5,2] => 0
[1,3,2,5,4] => [1,3,2,5,4] => [4,3,2,1,5] => 0
[1,3,4,2,5] => [1,3,4,2,5] => [4,1,5,3,2] => 0
[1,3,4,5,2] => [1,3,4,5,2] => [4,1,5,2,3] => 1
[1,3,5,2,4] => [1,3,5,2,4] => [4,2,1,3,5] => 2
[1,3,5,4,2] => [1,3,5,2,4] => [4,2,1,3,5] => 2
[1,4,2,3,5] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[1,4,2,5,3] => [1,4,2,5,3] => [5,3,2,1,4] => 0
[1,4,3,2,5] => [1,4,2,5,3] => [5,3,2,1,4] => 0
[1,4,3,5,2] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[1,4,5,2,3] => [1,4,5,2,3] => [5,2,1,3,4] => 2
[1,4,5,3,2] => [1,4,5,2,3] => [5,2,1,3,4] => 2
[1,5,2,3,4] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[1,5,2,4,3] => [1,5,2,4,3] => [2,3,1,5,4] => 2
[1,5,3,2,4] => [1,5,2,4,3] => [2,3,1,5,4] => 2
[1,5,3,4,2] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[1,5,4,2,3] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[1,5,4,3,2] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[2,1,3,4,5] => [1,3,4,5,2] => [4,1,5,2,3] => 1
[2,1,3,5,4] => [1,3,5,2,4] => [4,2,1,3,5] => 2
[2,1,4,3,5] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[2,1,4,5,3] => [1,4,5,2,3] => [5,2,1,3,4] => 2
[2,1,5,3,4] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[2,1,5,4,3] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[2,3,1,4,5] => [1,4,5,2,3] => [5,2,1,3,4] => 2
[2,3,1,5,4] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[2,3,4,1,5] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[2,3,4,5,1] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[2,3,5,1,4] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[2,3,5,4,1] => [1,2,3,5,4] => [3,1,4,2,5] => 3
[2,4,1,3,5] => [1,3,5,2,4] => [4,2,1,3,5] => 2
[2,4,1,5,3] => [1,5,2,4,3] => [2,3,1,5,4] => 2
[2,4,3,1,5] => [1,5,2,4,3] => [2,3,1,5,4] => 2
[2,4,3,5,1] => [1,2,4,3,5] => [3,1,5,4,2] => 0
[2,4,5,1,3] => [1,3,2,4,5] => [4,3,1,5,2] => 0
[2,4,5,3,1] => [1,2,4,5,3] => [3,1,5,2,4] => 1
[2,5,1,3,4] => [1,3,4,2,5] => [4,1,5,3,2] => 0
[2,5,1,4,3] => [1,4,2,5,3] => [5,3,2,1,4] => 0
[2,5,3,1,4] => [1,4,2,5,3] => [5,3,2,1,4] => 0
[2,5,3,4,1] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[2,5,4,1,3] => [1,3,2,5,4] => [4,3,2,1,5] => 0
[2,5,4,3,1] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[3,1,2,4,5] => [1,2,4,5,3] => [3,1,5,2,4] => 1
[3,1,2,5,4] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[3,1,4,2,5] => [1,4,2,5,3] => [5,3,2,1,4] => 0
[3,1,4,5,2] => [1,4,5,2,3] => [5,2,1,3,4] => 2
[3,1,5,2,4] => [1,5,2,4,3] => [2,3,1,5,4] => 2
[3,1,5,4,2] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[3,2,1,4,5] => [1,4,5,2,3] => [5,2,1,3,4] => 2
[3,2,1,5,4] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[3,2,4,1,5] => [1,5,2,4,3] => [2,3,1,5,4] => 2
[3,2,4,5,1] => [1,2,4,5,3] => [3,1,5,2,4] => 1
[3,2,5,1,4] => [1,4,2,5,3] => [5,3,2,1,4] => 0
[3,2,5,4,1] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[3,4,1,2,5] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[3,4,1,5,2] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[3,4,2,1,5] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[3,4,2,5,1] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[3,4,5,1,2] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[3,4,5,2,1] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[3,5,1,2,4] => [1,2,4,3,5] => [3,1,5,4,2] => 0
[3,5,1,4,2] => [1,4,2,3,5] => [5,3,1,4,2] => 0
>>> Load all 1380 entries. <<<[3,5,2,1,4] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[3,5,2,4,1] => [1,2,4,3,5] => [3,1,5,4,2] => 0
[3,5,4,1,2] => [1,2,3,5,4] => [3,1,4,2,5] => 3
[3,5,4,2,1] => [1,2,3,5,4] => [3,1,4,2,5] => 3
[4,1,2,3,5] => [1,2,3,5,4] => [3,1,4,2,5] => 3
[4,1,2,5,3] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[4,1,3,2,5] => [1,3,2,5,4] => [4,3,2,1,5] => 0
[4,1,3,5,2] => [1,3,5,2,4] => [4,2,1,3,5] => 2
[4,1,5,2,3] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[4,1,5,3,2] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[4,2,1,3,5] => [1,3,5,2,4] => [4,2,1,3,5] => 2
[4,2,1,5,3] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[4,2,3,1,5] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[4,2,3,5,1] => [1,2,3,5,4] => [3,1,4,2,5] => 3
[4,2,5,1,3] => [1,3,2,5,4] => [4,3,2,1,5] => 0
[4,2,5,3,1] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[4,3,1,2,5] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[4,3,1,5,2] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[4,3,2,1,5] => [1,5,2,3,4] => [2,3,1,4,5] => 5
[4,3,2,5,1] => [1,2,5,3,4] => [3,2,1,4,5] => 3
[4,3,5,1,2] => [1,2,3,5,4] => [3,1,4,2,5] => 3
[4,3,5,2,1] => [1,2,3,5,4] => [3,1,4,2,5] => 3
[4,5,1,2,3] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[4,5,1,3,2] => [1,3,2,4,5] => [4,3,1,5,2] => 0
[4,5,2,1,3] => [1,3,2,4,5] => [4,3,1,5,2] => 0
[4,5,2,3,1] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[4,5,3,1,2] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[4,5,3,2,1] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[5,1,2,3,4] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[5,1,2,4,3] => [1,2,4,3,5] => [3,1,5,4,2] => 0
[5,1,3,2,4] => [1,3,2,4,5] => [4,3,1,5,2] => 0
[5,1,3,4,2] => [1,3,4,2,5] => [4,1,5,3,2] => 0
[5,1,4,2,3] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[5,1,4,3,2] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[5,2,1,3,4] => [1,3,4,2,5] => [4,1,5,3,2] => 0
[5,2,1,4,3] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[5,2,3,1,4] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[5,2,3,4,1] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[5,2,4,1,3] => [1,3,2,4,5] => [4,3,1,5,2] => 0
[5,2,4,3,1] => [1,2,4,3,5] => [3,1,5,4,2] => 0
[5,3,1,2,4] => [1,2,4,3,5] => [3,1,5,4,2] => 0
[5,3,1,4,2] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[5,3,2,1,4] => [1,4,2,3,5] => [5,3,1,4,2] => 0
[5,3,2,4,1] => [1,2,4,3,5] => [3,1,5,4,2] => 0
[5,3,4,1,2] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[5,3,4,2,1] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[5,4,1,2,3] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[5,4,1,3,2] => [1,3,2,4,5] => [4,3,1,5,2] => 0
[5,4,2,1,3] => [1,3,2,4,5] => [4,3,1,5,2] => 0
[5,4,2,3,1] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[5,4,3,1,2] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[5,4,3,2,1] => [1,2,3,4,5] => [3,1,4,5,2] => 2
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[1,2,3,5,6,4] => [1,2,3,5,6,4] => [3,1,4,6,2,5] => 5
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[1,2,3,6,5,4] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [3,1,5,4,2,6] => 5
[1,2,4,5,3,6] => [1,2,4,5,3,6] => [3,1,5,6,4,2] => 2
[1,2,4,5,6,3] => [1,2,4,5,6,3] => [3,1,5,6,2,4] => 3
[1,2,4,6,3,5] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[1,2,4,6,5,3] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[1,2,5,3,6,4] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[1,2,5,4,3,6] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[1,2,5,4,6,3] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[1,2,5,6,3,4] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[1,2,5,6,4,3] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[1,2,6,3,4,5] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[1,2,6,3,5,4] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[1,2,6,4,3,5] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[1,2,6,4,5,3] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[1,2,6,5,3,4] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[1,2,6,5,4,3] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [4,3,1,5,2,6] => 4
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [4,3,1,6,5,2] => 0
[1,3,2,5,6,4] => [1,3,2,5,6,4] => [4,3,1,6,2,5] => 1
[1,3,2,6,4,5] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[1,3,2,6,5,4] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[1,3,4,2,5,6] => [1,3,4,2,5,6] => [4,1,5,3,6,2] => 3
[1,3,4,2,6,5] => [1,3,4,2,6,5] => [4,1,5,3,2,6] => 4
[1,3,4,5,2,6] => [1,3,4,5,2,6] => [4,1,5,6,3,2] => 2
[1,3,4,5,6,2] => [1,3,4,5,6,2] => [4,1,5,6,2,3] => 3
[1,3,4,6,2,5] => [1,3,4,6,2,5] => [4,1,5,2,3,6] => 6
[1,3,4,6,5,2] => [1,3,4,6,2,5] => [4,1,5,2,3,6] => 6
[1,3,5,2,4,6] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[1,3,5,2,6,4] => [1,3,5,2,6,4] => [4,1,6,3,2,5] => 2
[1,3,5,4,2,6] => [1,3,5,2,6,4] => [4,1,6,3,2,5] => 2
[1,3,5,4,6,2] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[1,3,5,6,2,4] => [1,3,5,6,2,4] => [4,1,6,2,3,5] => 4
[1,3,5,6,4,2] => [1,3,5,6,2,4] => [4,1,6,2,3,5] => 4
[1,3,6,2,4,5] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[1,3,6,2,5,4] => [1,3,6,2,5,4] => [4,2,1,3,6,5] => 4
[1,3,6,4,2,5] => [1,3,6,2,5,4] => [4,2,1,3,6,5] => 4
[1,3,6,4,5,2] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[1,3,6,5,2,4] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[1,3,6,5,4,2] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[1,4,2,3,6,5] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[1,4,2,5,3,6] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[1,4,2,5,6,3] => [1,4,2,5,6,3] => [5,3,1,6,2,4] => 1
[1,4,2,6,3,5] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[1,4,2,6,5,3] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[1,4,3,2,5,6] => [1,4,2,5,6,3] => [5,3,1,6,2,4] => 1
[1,4,3,2,6,5] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[1,4,3,5,2,6] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[1,4,3,5,6,2] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[1,4,3,6,2,5] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[1,4,3,6,5,2] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[1,4,5,2,3,6] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[1,4,5,2,6,3] => [1,4,5,2,6,3] => [5,1,6,3,2,4] => 2
[1,4,5,3,2,6] => [1,4,5,2,6,3] => [5,1,6,3,2,4] => 2
[1,4,5,3,6,2] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[1,4,5,6,2,3] => [1,4,5,6,2,3] => [5,1,6,2,3,4] => 4
[1,4,5,6,3,2] => [1,4,5,6,2,3] => [5,1,6,2,3,4] => 4
[1,4,6,2,3,5] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[1,4,6,2,5,3] => [1,4,6,2,5,3] => [5,2,1,3,6,4] => 4
[1,4,6,3,2,5] => [1,4,6,2,5,3] => [5,2,1,3,6,4] => 4
[1,4,6,3,5,2] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[1,4,6,5,2,3] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[1,4,6,5,3,2] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[1,5,2,3,6,4] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[1,5,2,4,3,6] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[1,5,2,4,6,3] => [1,5,2,4,6,3] => [6,3,1,5,2,4] => 1
[1,5,2,6,3,4] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[1,5,2,6,4,3] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[1,5,3,2,4,6] => [1,5,2,4,6,3] => [6,3,1,5,2,4] => 1
[1,5,3,2,6,4] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[1,5,3,4,2,6] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[1,5,3,4,6,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[1,5,3,6,2,4] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[1,5,3,6,4,2] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[1,5,4,2,3,6] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[1,5,4,2,6,3] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[1,5,4,3,2,6] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[1,5,4,3,6,2] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[1,5,4,6,2,3] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[1,5,4,6,3,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[1,5,6,2,3,4] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[1,5,6,2,4,3] => [1,5,6,2,4,3] => [6,2,1,3,5,4] => 4
[1,5,6,3,2,4] => [1,5,6,2,4,3] => [6,2,1,3,5,4] => 4
[1,5,6,3,4,2] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[1,5,6,4,2,3] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[1,5,6,4,3,2] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[1,6,2,3,5,4] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[1,6,2,4,3,5] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[1,6,2,4,5,3] => [1,6,2,4,5,3] => [2,3,1,5,6,4] => 6
[1,6,2,5,3,4] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[1,6,2,5,4,3] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[1,6,3,2,4,5] => [1,6,2,4,5,3] => [2,3,1,5,6,4] => 6
[1,6,3,2,5,4] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[1,6,3,4,2,5] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[1,6,3,4,5,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[1,6,3,5,2,4] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[1,6,3,5,4,2] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[1,6,4,2,3,5] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[1,6,4,2,5,3] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[1,6,4,3,2,5] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[1,6,4,3,5,2] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[1,6,4,5,2,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[1,6,4,5,3,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[1,6,5,2,3,4] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[1,6,5,2,4,3] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[1,6,5,3,2,4] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[1,6,5,3,4,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[1,6,5,4,2,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[1,6,5,4,3,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[2,1,3,4,5,6] => [1,3,4,5,6,2] => [4,1,5,6,2,3] => 3
[2,1,3,4,6,5] => [1,3,4,6,2,5] => [4,1,5,2,3,6] => 6
[2,1,3,5,4,6] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[2,1,3,5,6,4] => [1,3,5,6,2,4] => [4,1,6,2,3,5] => 4
[2,1,3,6,4,5] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[2,1,3,6,5,4] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[2,1,4,3,5,6] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[2,1,4,3,6,5] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[2,1,4,5,3,6] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[2,1,4,5,6,3] => [1,4,5,6,2,3] => [5,1,6,2,3,4] => 4
[2,1,4,6,3,5] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[2,1,4,6,5,3] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[2,1,5,3,4,6] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[2,1,5,3,6,4] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[2,1,5,4,3,6] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[2,1,5,4,6,3] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[2,1,5,6,3,4] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[2,1,5,6,4,3] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[2,1,6,3,4,5] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[2,1,6,3,5,4] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[2,1,6,4,3,5] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[2,1,6,4,5,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[2,1,6,5,3,4] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[2,1,6,5,4,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[2,3,1,4,5,6] => [1,4,5,6,2,3] => [5,1,6,2,3,4] => 4
[2,3,1,4,6,5] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[2,3,1,5,4,6] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[2,3,1,5,6,4] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[2,3,1,6,4,5] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[2,3,1,6,5,4] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[2,3,4,1,5,6] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[2,3,4,1,6,5] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[2,3,4,5,1,6] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[2,3,4,6,1,5] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[2,3,5,1,4,6] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[2,3,5,1,6,4] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[2,3,5,4,1,6] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[2,3,5,4,6,1] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[2,3,5,6,1,4] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[2,3,5,6,4,1] => [1,2,3,5,6,4] => [3,1,4,6,2,5] => 5
[2,3,6,1,4,5] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[2,3,6,1,5,4] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[2,3,6,4,1,5] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[2,3,6,5,1,4] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[2,4,1,3,5,6] => [1,3,5,6,2,4] => [4,1,6,2,3,5] => 4
[2,4,1,3,6,5] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[2,4,1,5,3,6] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[2,4,1,5,6,3] => [1,5,6,2,4,3] => [6,2,1,3,5,4] => 4
[2,4,1,6,3,5] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[2,4,1,6,5,3] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[2,4,3,1,5,6] => [1,5,6,2,4,3] => [6,2,1,3,5,4] => 4
[2,4,3,1,6,5] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[2,4,3,5,1,6] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[2,4,3,5,6,1] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[2,4,3,6,1,5] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[2,4,3,6,5,1] => [1,2,4,3,6,5] => [3,1,5,4,2,6] => 5
[2,4,5,1,3,6] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[2,4,5,1,6,3] => [1,6,2,4,5,3] => [2,3,1,5,6,4] => 6
[2,4,5,3,1,6] => [1,6,2,4,5,3] => [2,3,1,5,6,4] => 6
[2,4,5,3,6,1] => [1,2,4,5,3,6] => [3,1,5,6,4,2] => 2
[2,4,5,6,1,3] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[2,4,5,6,3,1] => [1,2,4,5,6,3] => [3,1,5,6,2,4] => 3
[2,4,6,1,3,5] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[2,4,6,1,5,3] => [1,5,2,4,6,3] => [6,3,1,5,2,4] => 1
[2,4,6,3,1,5] => [1,5,2,4,6,3] => [6,3,1,5,2,4] => 1
[2,4,6,3,5,1] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[2,4,6,5,1,3] => [1,3,2,4,6,5] => [4,3,1,5,2,6] => 4
[2,4,6,5,3,1] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[2,5,1,3,4,6] => [1,3,4,6,2,5] => [4,1,5,2,3,6] => 6
[2,5,1,3,6,4] => [1,3,6,2,5,4] => [4,2,1,3,6,5] => 4
[2,5,1,4,3,6] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[2,5,1,4,6,3] => [1,4,6,2,5,3] => [5,2,1,3,6,4] => 4
[2,5,1,6,3,4] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[2,5,1,6,4,3] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[2,5,3,1,4,6] => [1,4,6,2,5,3] => [5,2,1,3,6,4] => 4
[2,5,3,1,6,4] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[2,5,3,4,1,6] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[2,5,3,4,6,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[2,5,3,6,1,4] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[2,5,3,6,4,1] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[2,5,4,1,3,6] => [1,3,6,2,5,4] => [4,2,1,3,6,5] => 4
[2,5,4,1,6,3] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[2,5,4,3,1,6] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[2,5,4,3,6,1] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[2,5,4,6,1,3] => [1,3,2,5,4,6] => [4,3,1,6,5,2] => 0
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[2,5,6,1,3,4] => [1,3,4,2,5,6] => [4,1,5,3,6,2] => 3
[2,5,6,1,4,3] => [1,4,2,5,6,3] => [5,3,1,6,2,4] => 1
[2,5,6,3,1,4] => [1,4,2,5,6,3] => [5,3,1,6,2,4] => 1
[2,5,6,3,4,1] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[2,5,6,4,1,3] => [1,3,2,5,6,4] => [4,3,1,6,2,5] => 1
[2,5,6,4,3,1] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[2,6,1,3,4,5] => [1,3,4,5,2,6] => [4,1,5,6,3,2] => 2
[2,6,1,3,5,4] => [1,3,5,2,6,4] => [4,1,6,3,2,5] => 2
[2,6,1,4,3,5] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[2,6,1,4,5,3] => [1,4,5,2,6,3] => [5,1,6,3,2,4] => 2
[2,6,1,5,3,4] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[2,6,1,5,4,3] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[2,6,3,1,4,5] => [1,4,5,2,6,3] => [5,1,6,3,2,4] => 2
[2,6,3,1,5,4] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[2,6,3,4,1,5] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[2,6,3,5,1,4] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[2,6,3,5,4,1] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[2,6,4,1,3,5] => [1,3,5,2,6,4] => [4,1,6,3,2,5] => 2
[2,6,4,1,5,3] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[2,6,4,3,1,5] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[2,6,4,3,5,1] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[2,6,4,5,1,3] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[2,6,5,1,3,4] => [1,3,4,2,6,5] => [4,1,5,3,2,6] => 4
[2,6,5,1,4,3] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[2,6,5,3,1,4] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[2,6,5,3,4,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[2,6,5,4,1,3] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[2,6,5,4,3,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[3,1,2,4,5,6] => [1,2,4,5,6,3] => [3,1,5,6,2,4] => 3
[3,1,2,4,6,5] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[3,1,2,5,4,6] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[3,1,2,5,6,4] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[3,1,2,6,4,5] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[3,1,2,6,5,4] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[3,1,4,2,5,6] => [1,4,2,5,6,3] => [5,3,1,6,2,4] => 1
[3,1,4,2,6,5] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[3,1,4,5,2,6] => [1,4,5,2,6,3] => [5,1,6,3,2,4] => 2
[3,1,4,5,6,2] => [1,4,5,6,2,3] => [5,1,6,2,3,4] => 4
[3,1,4,6,2,5] => [1,4,6,2,5,3] => [5,2,1,3,6,4] => 4
[3,1,4,6,5,2] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[3,1,5,2,4,6] => [1,5,2,4,6,3] => [6,3,1,5,2,4] => 1
[3,1,5,2,6,4] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[3,1,5,4,2,6] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[3,1,5,4,6,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[3,1,5,6,2,4] => [1,5,6,2,4,3] => [6,2,1,3,5,4] => 4
[3,1,5,6,4,2] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[3,1,6,2,4,5] => [1,6,2,4,5,3] => [2,3,1,5,6,4] => 6
[3,1,6,2,5,4] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[3,1,6,4,2,5] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[3,1,6,4,5,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[3,1,6,5,2,4] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[3,1,6,5,4,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[3,2,1,4,5,6] => [1,4,5,6,2,3] => [5,1,6,2,3,4] => 4
[3,2,1,4,6,5] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[3,2,1,5,4,6] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[3,2,1,5,6,4] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[3,2,1,6,4,5] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[3,2,1,6,5,4] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[3,2,4,1,5,6] => [1,5,6,2,4,3] => [6,2,1,3,5,4] => 4
[3,2,4,1,6,5] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[3,2,4,5,1,6] => [1,6,2,4,5,3] => [2,3,1,5,6,4] => 6
[3,2,4,5,6,1] => [1,2,4,5,6,3] => [3,1,5,6,2,4] => 3
[3,2,4,6,1,5] => [1,5,2,4,6,3] => [6,3,1,5,2,4] => 1
[3,2,4,6,5,1] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[3,2,5,1,4,6] => [1,4,6,2,5,3] => [5,2,1,3,6,4] => 4
[3,2,5,1,6,4] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[3,2,5,4,1,6] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[3,2,5,4,6,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[3,2,5,6,1,4] => [1,4,2,5,6,3] => [5,3,1,6,2,4] => 1
[3,2,5,6,4,1] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[3,2,6,1,4,5] => [1,4,5,2,6,3] => [5,1,6,3,2,4] => 2
[3,2,6,1,5,4] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[3,2,6,4,1,5] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[3,2,6,4,5,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[3,2,6,5,1,4] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[3,2,6,5,4,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[3,4,1,2,5,6] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[3,4,1,2,6,5] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[3,4,1,5,2,6] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[3,4,1,5,6,2] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[3,4,1,6,2,5] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[3,4,1,6,5,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[3,4,2,1,5,6] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[3,4,2,1,6,5] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[3,4,2,5,1,6] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[3,4,2,5,6,1] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[3,4,2,6,1,5] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[3,4,2,6,5,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[3,4,5,1,2,6] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[3,4,5,1,6,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[3,4,5,2,1,6] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[3,4,5,2,6,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[3,4,5,6,1,2] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[3,4,5,6,2,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[3,4,6,1,2,5] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[3,4,6,1,5,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[3,4,6,2,1,5] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[3,4,6,2,5,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[3,4,6,5,1,2] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[3,4,6,5,2,1] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[3,5,1,2,4,6] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[3,5,1,2,6,4] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[3,5,1,4,2,6] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[3,5,1,4,6,2] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[3,5,1,6,2,4] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[3,5,1,6,4,2] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[3,5,2,1,4,6] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[3,5,2,1,6,4] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[3,5,2,4,1,6] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[3,5,2,4,6,1] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[3,5,2,6,1,4] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[3,5,2,6,4,1] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[3,5,4,1,2,6] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[3,5,4,1,6,2] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[3,5,4,2,1,6] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[3,5,4,2,6,1] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[3,5,4,6,1,2] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[3,5,4,6,2,1] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[3,5,6,1,2,4] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[3,5,6,1,4,2] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[3,5,6,2,1,4] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[3,5,6,2,4,1] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[3,5,6,4,1,2] => [1,2,3,5,6,4] => [3,1,4,6,2,5] => 5
[3,5,6,4,2,1] => [1,2,3,5,6,4] => [3,1,4,6,2,5] => 5
[3,6,1,2,4,5] => [1,2,4,5,3,6] => [3,1,5,6,4,2] => 2
[3,6,1,2,5,4] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[3,6,1,4,2,5] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[3,6,1,4,5,2] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[3,6,1,5,2,4] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[3,6,1,5,4,2] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[3,6,2,1,4,5] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[3,6,2,1,5,4] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[3,6,2,4,1,5] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[3,6,2,4,5,1] => [1,2,4,5,3,6] => [3,1,5,6,4,2] => 2
[3,6,2,5,1,4] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[3,6,2,5,4,1] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[3,6,4,1,2,5] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[3,6,4,1,5,2] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[3,6,4,2,1,5] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[3,6,4,2,5,1] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[3,6,4,5,1,2] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[3,6,4,5,2,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[3,6,5,1,2,4] => [1,2,4,3,6,5] => [3,1,5,4,2,6] => 5
[3,6,5,1,4,2] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[3,6,5,2,1,4] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[3,6,5,2,4,1] => [1,2,4,3,6,5] => [3,1,5,4,2,6] => 5
[3,6,5,4,1,2] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[3,6,5,4,2,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[4,1,2,3,5,6] => [1,2,3,5,6,4] => [3,1,4,6,2,5] => 5
[4,1,2,3,6,5] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[4,1,2,5,3,6] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[4,1,2,5,6,3] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[4,1,2,6,3,5] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[4,1,2,6,5,3] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[4,1,3,2,5,6] => [1,3,2,5,6,4] => [4,3,1,6,2,5] => 1
[4,1,3,2,6,5] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[4,1,3,5,2,6] => [1,3,5,2,6,4] => [4,1,6,3,2,5] => 2
[4,1,3,5,6,2] => [1,3,5,6,2,4] => [4,1,6,2,3,5] => 4
[4,1,3,6,2,5] => [1,3,6,2,5,4] => [4,2,1,3,6,5] => 4
[4,1,3,6,5,2] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[4,1,5,2,3,6] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[4,1,5,2,6,3] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[4,1,5,3,2,6] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[4,1,5,3,6,2] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[4,1,5,6,2,3] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[4,1,5,6,3,2] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[4,1,6,2,3,5] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[4,1,6,2,5,3] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[4,1,6,3,2,5] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[4,1,6,3,5,2] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[4,1,6,5,2,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,1,6,5,3,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,2,1,3,5,6] => [1,3,5,6,2,4] => [4,1,6,2,3,5] => 4
[4,2,1,3,6,5] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[4,2,1,5,3,6] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[4,2,1,5,6,3] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[4,2,1,6,3,5] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[4,2,1,6,5,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,2,3,1,5,6] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[4,2,3,1,6,5] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,2,3,5,1,6] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[4,2,3,5,6,1] => [1,2,3,5,6,4] => [3,1,4,6,2,5] => 5
[4,2,3,6,1,5] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[4,2,3,6,5,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[4,2,5,1,3,6] => [1,3,6,2,5,4] => [4,2,1,3,6,5] => 4
[4,2,5,1,6,3] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[4,2,5,3,1,6] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[4,2,5,3,6,1] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[4,2,5,6,1,3] => [1,3,2,5,6,4] => [4,3,1,6,2,5] => 1
[4,2,5,6,3,1] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[4,2,6,1,3,5] => [1,3,5,2,6,4] => [4,1,6,3,2,5] => 2
[4,2,6,1,5,3] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[4,2,6,3,1,5] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[4,2,6,3,5,1] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[4,2,6,5,1,3] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[4,2,6,5,3,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[4,3,1,2,5,6] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[4,3,1,2,6,5] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[4,3,1,5,2,6] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[4,3,1,5,6,2] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[4,3,1,6,2,5] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[4,3,1,6,5,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,3,2,1,5,6] => [1,5,6,2,3,4] => [6,2,1,3,4,5] => 7
[4,3,2,1,6,5] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,3,2,5,1,6] => [1,6,2,5,3,4] => [2,3,1,6,4,5] => 6
[4,3,2,5,6,1] => [1,2,5,6,3,4] => [3,1,6,2,4,5] => 5
[4,3,2,6,1,5] => [1,5,2,6,3,4] => [6,3,2,1,4,5] => 3
[4,3,2,6,5,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[4,3,5,1,2,6] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[4,3,5,1,6,2] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[4,3,5,2,1,6] => [1,6,2,3,5,4] => [2,3,1,4,6,5] => 9
[4,3,5,2,6,1] => [1,2,6,3,5,4] => [3,2,1,4,6,5] => 6
[4,3,5,6,1,2] => [1,2,3,5,6,4] => [3,1,4,6,2,5] => 5
[4,3,5,6,2,1] => [1,2,3,5,6,4] => [3,1,4,6,2,5] => 5
[4,3,6,1,2,5] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[4,3,6,1,5,2] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[4,3,6,2,1,5] => [1,5,2,3,6,4] => [6,3,1,4,2,5] => 3
[4,3,6,2,5,1] => [1,2,5,3,6,4] => [3,1,6,4,2,5] => 3
[4,3,6,5,1,2] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[4,3,6,5,2,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[4,5,1,2,3,6] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[4,5,1,2,6,3] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[4,5,1,3,2,6] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[4,5,1,3,6,2] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[4,5,1,6,2,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,5,1,6,3,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,5,2,1,3,6] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[4,5,2,1,6,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,5,2,3,1,6] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,5,2,3,6,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[4,5,2,6,1,3] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[4,5,2,6,3,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[4,5,3,1,2,6] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[4,5,3,1,6,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,5,3,2,1,6] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[4,5,3,2,6,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[4,5,3,6,1,2] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[4,5,3,6,2,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[4,5,6,1,2,3] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[4,5,6,1,3,2] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[4,5,6,2,1,3] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[4,5,6,2,3,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[4,5,6,3,1,2] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[4,5,6,3,2,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[4,6,1,2,3,5] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[4,6,1,2,5,3] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[4,6,1,3,2,5] => [1,3,2,5,4,6] => [4,3,1,6,5,2] => 0
[4,6,1,3,5,2] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[4,6,1,5,2,3] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[4,6,1,5,3,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[4,6,2,1,3,5] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[4,6,2,1,5,3] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[4,6,2,3,1,5] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[4,6,2,3,5,1] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[4,6,2,5,1,3] => [1,3,2,5,4,6] => [4,3,1,6,5,2] => 0
[4,6,2,5,3,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[4,6,3,1,2,5] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[4,6,3,1,5,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[4,6,3,2,1,5] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[4,6,3,2,5,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[4,6,3,5,1,2] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[4,6,3,5,2,1] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[4,6,5,1,2,3] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[4,6,5,1,3,2] => [1,3,2,4,6,5] => [4,3,1,5,2,6] => 4
[4,6,5,2,1,3] => [1,3,2,4,6,5] => [4,3,1,5,2,6] => 4
[4,6,5,2,3,1] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[4,6,5,3,1,2] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[4,6,5,3,2,1] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[5,1,2,3,4,6] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[5,1,2,3,6,4] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[5,1,2,4,3,6] => [1,2,4,3,6,5] => [3,1,5,4,2,6] => 5
[5,1,2,4,6,3] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[5,1,2,6,3,4] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,1,2,6,4,3] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,1,3,2,4,6] => [1,3,2,4,6,5] => [4,3,1,5,2,6] => 4
[5,1,3,2,6,4] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[5,1,3,4,2,6] => [1,3,4,2,6,5] => [4,1,5,3,2,6] => 4
[5,1,3,4,6,2] => [1,3,4,6,2,5] => [4,1,5,2,3,6] => 6
[5,1,3,6,2,4] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[5,1,3,6,4,2] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[5,1,4,2,3,6] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[5,1,4,2,6,3] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[5,1,4,3,2,6] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[5,1,4,3,6,2] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[5,1,4,6,2,3] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[5,1,4,6,3,2] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[5,1,6,2,3,4] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,1,6,2,4,3] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[5,1,6,3,2,4] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[5,1,6,3,4,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,1,6,4,2,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,1,6,4,3,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,2,1,3,4,6] => [1,3,4,6,2,5] => [4,1,5,2,3,6] => 6
[5,2,1,3,6,4] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[5,2,1,4,3,6] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[5,2,1,4,6,3] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[5,2,1,6,3,4] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,2,1,6,4,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,2,3,1,4,6] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[5,2,3,1,6,4] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,2,3,4,1,6] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,2,3,4,6,1] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[5,2,3,6,1,4] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[5,2,3,6,4,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[5,2,4,1,3,6] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[5,2,4,1,6,3] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[5,2,4,3,1,6] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[5,2,4,3,6,1] => [1,2,4,3,6,5] => [3,1,5,4,2,6] => 5
[5,2,4,6,1,3] => [1,3,2,4,6,5] => [4,3,1,5,2,6] => 4
[5,2,4,6,3,1] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[5,2,6,1,3,4] => [1,3,4,2,6,5] => [4,1,5,3,2,6] => 4
[5,2,6,1,4,3] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[5,2,6,3,1,4] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[5,2,6,3,4,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,2,6,4,1,3] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[5,2,6,4,3,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,3,1,2,4,6] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[5,3,1,2,6,4] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,3,1,4,2,6] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[5,3,1,4,6,2] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[5,3,1,6,2,4] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[5,3,1,6,4,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,3,2,1,4,6] => [1,4,6,2,3,5] => [5,2,1,3,4,6] => 7
[5,3,2,1,6,4] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,3,2,4,1,6] => [1,6,2,4,3,5] => [2,3,1,5,4,6] => 9
[5,3,2,4,6,1] => [1,2,4,6,3,5] => [3,1,5,2,4,6] => 7
[5,3,2,6,1,4] => [1,4,2,6,3,5] => [5,3,2,1,4,6] => 3
[5,3,2,6,4,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,3,4,1,2,6] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,3,4,1,6,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,3,4,2,1,6] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,3,4,2,6,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,3,4,6,1,2] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[5,3,4,6,2,1] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[5,3,6,1,2,4] => [1,2,4,3,6,5] => [3,1,5,4,2,6] => 5
[5,3,6,1,4,2] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[5,3,6,2,1,4] => [1,4,2,3,6,5] => [5,3,1,4,2,6] => 3
[5,3,6,2,4,1] => [1,2,4,3,6,5] => [3,1,5,4,2,6] => 5
[5,3,6,4,1,2] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[5,3,6,4,2,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[5,4,1,2,3,6] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[5,4,1,2,6,3] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,4,1,3,2,6] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[5,4,1,3,6,2] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[5,4,1,6,2,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,4,1,6,3,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,4,2,1,3,6] => [1,3,6,2,4,5] => [4,2,1,3,5,6] => 8
[5,4,2,1,6,3] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,4,2,3,1,6] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,4,2,3,6,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[5,4,2,6,1,3] => [1,3,2,6,4,5] => [4,3,2,1,5,6] => 4
[5,4,2,6,3,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,4,3,1,2,6] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,4,3,1,6,2] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,4,3,2,1,6] => [1,6,2,3,4,5] => [2,3,1,4,5,6] => 13
[5,4,3,2,6,1] => [1,2,6,3,4,5] => [3,2,1,4,5,6] => 10
[5,4,3,6,1,2] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[5,4,3,6,2,1] => [1,2,3,6,4,5] => [3,1,4,2,5,6] => 10
[5,4,6,1,2,3] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[5,4,6,1,3,2] => [1,3,2,4,6,5] => [4,3,1,5,2,6] => 4
[5,4,6,2,1,3] => [1,3,2,4,6,5] => [4,3,1,5,2,6] => 4
[5,4,6,2,3,1] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[5,4,6,3,1,2] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[5,4,6,3,2,1] => [1,2,3,4,6,5] => [3,1,4,5,2,6] => 8
[5,6,1,2,3,4] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[5,6,1,2,4,3] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[5,6,1,3,2,4] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[5,6,1,3,4,2] => [1,3,4,2,5,6] => [4,1,5,3,6,2] => 3
[5,6,1,4,2,3] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[5,6,1,4,3,2] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[5,6,2,1,3,4] => [1,3,4,2,5,6] => [4,1,5,3,6,2] => 3
[5,6,2,1,4,3] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[5,6,2,3,1,4] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[5,6,2,3,4,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[5,6,2,4,1,3] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[5,6,2,4,3,1] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[5,6,3,1,2,4] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[5,6,3,1,4,2] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[5,6,3,2,1,4] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[5,6,3,2,4,1] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[5,6,3,4,1,2] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[5,6,3,4,2,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[5,6,4,1,2,3] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[5,6,4,1,3,2] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[5,6,4,2,1,3] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[5,6,4,2,3,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[5,6,4,3,1,2] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[5,6,4,3,2,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,1,2,3,4,5] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,1,2,3,5,4] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[6,1,2,4,3,5] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[6,1,2,4,5,3] => [1,2,4,5,3,6] => [3,1,5,6,4,2] => 2
[6,1,2,5,3,4] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,1,2,5,4,3] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,1,3,2,4,5] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[6,1,3,2,5,4] => [1,3,2,5,4,6] => [4,3,1,6,5,2] => 0
[6,1,3,4,2,5] => [1,3,4,2,5,6] => [4,1,5,3,6,2] => 3
[6,1,3,4,5,2] => [1,3,4,5,2,6] => [4,1,5,6,3,2] => 2
[6,1,3,5,2,4] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[6,1,3,5,4,2] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[6,1,4,2,3,5] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,1,4,2,5,3] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[6,1,4,3,2,5] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[6,1,4,3,5,2] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,1,4,5,2,3] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[6,1,4,5,3,2] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[6,1,5,2,3,4] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,1,5,2,4,3] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[6,1,5,3,2,4] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[6,1,5,3,4,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,1,5,4,2,3] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,1,5,4,3,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,2,1,3,4,5] => [1,3,4,5,2,6] => [4,1,5,6,3,2] => 2
[6,2,1,3,5,4] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[6,2,1,4,3,5] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,2,1,4,5,3] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[6,2,1,5,3,4] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,2,1,5,4,3] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,2,3,1,4,5] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[6,2,3,1,5,4] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,2,3,4,1,5] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,2,3,4,5,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,2,3,5,1,4] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,2,3,5,4,1] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[6,2,4,1,3,5] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[6,2,4,1,5,3] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[6,2,4,3,1,5] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[6,2,4,3,5,1] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[6,2,4,5,1,3] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[6,2,4,5,3,1] => [1,2,4,5,3,6] => [3,1,5,6,4,2] => 2
[6,2,5,1,3,4] => [1,3,4,2,5,6] => [4,1,5,3,6,2] => 3
[6,2,5,1,4,3] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[6,2,5,3,1,4] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[6,2,5,3,4,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,2,5,4,1,3] => [1,3,2,5,4,6] => [4,3,1,6,5,2] => 0
[6,2,5,4,3,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,3,1,2,4,5] => [1,2,4,5,3,6] => [3,1,5,6,4,2] => 2
[6,3,1,2,5,4] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,3,1,4,2,5] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[6,3,1,4,5,2] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[6,3,1,5,2,4] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[6,3,1,5,4,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,3,2,1,4,5] => [1,4,5,2,3,6] => [5,1,6,3,4,2] => 1
[6,3,2,1,5,4] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,3,2,4,1,5] => [1,5,2,4,3,6] => [6,3,1,5,4,2] => 0
[6,3,2,4,5,1] => [1,2,4,5,3,6] => [3,1,5,6,4,2] => 2
[6,3,2,5,1,4] => [1,4,2,5,3,6] => [5,3,1,6,4,2] => 0
[6,3,2,5,4,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,3,4,1,2,5] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,3,4,1,5,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,3,4,2,1,5] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,3,4,2,5,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,3,4,5,1,2] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,3,4,5,2,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,3,5,1,2,4] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[6,3,5,1,4,2] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,3,5,2,1,4] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,3,5,2,4,1] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[6,3,5,4,1,2] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[6,3,5,4,2,1] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[6,4,1,2,3,5] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[6,4,1,2,5,3] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,4,1,3,2,5] => [1,3,2,5,4,6] => [4,3,1,6,5,2] => 0
[6,4,1,3,5,2] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[6,4,1,5,2,3] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,4,1,5,3,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,4,2,1,3,5] => [1,3,5,2,4,6] => [4,1,6,3,5,2] => 1
[6,4,2,1,5,3] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,4,2,3,1,5] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,4,2,3,5,1] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[6,4,2,5,1,3] => [1,3,2,5,4,6] => [4,3,1,6,5,2] => 0
[6,4,2,5,3,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,4,3,1,2,5] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,4,3,1,5,2] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,4,3,2,1,5] => [1,5,2,3,4,6] => [6,3,1,4,5,2] => 2
[6,4,3,2,5,1] => [1,2,5,3,4,6] => [3,1,6,4,5,2] => 2
[6,4,3,5,1,2] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[6,4,3,5,2,1] => [1,2,3,5,4,6] => [3,1,4,6,5,2] => 4
[6,4,5,1,2,3] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,4,5,1,3,2] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[6,4,5,2,1,3] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[6,4,5,2,3,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,4,5,3,1,2] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,4,5,3,2,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,5,1,2,3,4] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,5,1,2,4,3] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[6,5,1,3,2,4] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[6,5,1,3,4,2] => [1,3,4,2,5,6] => [4,1,5,3,6,2] => 3
[6,5,1,4,2,3] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,5,1,4,3,2] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,5,2,1,3,4] => [1,3,4,2,5,6] => [4,1,5,3,6,2] => 3
[6,5,2,1,4,3] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,5,2,3,1,4] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,5,2,3,4,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,5,2,4,1,3] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[6,5,2,4,3,1] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[6,5,3,1,2,4] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[6,5,3,1,4,2] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,5,3,2,1,4] => [1,4,2,3,5,6] => [5,3,1,4,6,2] => 2
[6,5,3,2,4,1] => [1,2,4,3,5,6] => [3,1,5,4,6,2] => 4
[6,5,3,4,1,2] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,5,3,4,2,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,5,4,1,2,3] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,5,4,1,3,2] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[6,5,4,2,1,3] => [1,3,2,4,5,6] => [4,3,1,5,6,2] => 3
[6,5,4,2,3,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,5,4,3,1,2] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[6,5,4,3,2,1] => [1,2,3,4,5,6] => [3,1,4,5,6,2] => 7
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[1,2,7,4,5,6,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[1,2,7,5,6,3,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[1,2,7,5,6,4,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[1,2,7,6,3,4,5] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[1,2,7,6,4,5,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[1,2,7,6,5,3,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[1,2,7,6,5,4,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[1,3,2,7,5,6,4] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[1,3,2,7,6,4,5] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[1,3,2,7,6,5,4] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[1,3,5,7,2,4,6] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[1,3,5,7,4,6,2] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[1,3,5,7,6,2,4] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[1,3,5,7,6,4,2] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[1,4,5,7,2,3,6] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[1,4,5,7,2,6,3] => [1,4,5,7,2,6,3] => [5,1,6,2,3,7,4] => 9
[1,4,5,7,3,2,6] => [1,4,5,7,2,6,3] => [5,1,6,2,3,7,4] => 9
[1,4,5,7,3,6,2] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[1,4,5,7,6,2,3] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[1,4,5,7,6,3,2] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[1,6,2,7,3,4,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,2,7,4,5,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,2,7,5,3,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,2,7,5,4,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,3,2,7,4,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,3,2,7,5,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,3,4,2,7,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,3,4,5,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,4,2,7,5,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,4,3,2,7,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,4,5,2,7,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,4,5,3,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,5,2,7,3,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,5,2,7,4,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,5,3,2,7,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,5,3,4,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,5,4,2,7,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,5,4,3,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[1,6,7,2,3,4,5] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[1,6,7,3,4,5,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[1,6,7,4,5,2,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[1,6,7,4,5,3,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[1,6,7,5,2,3,4] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[1,6,7,5,3,4,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[1,6,7,5,4,2,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[1,6,7,5,4,3,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,3,4,5,6,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,4,5,6,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,4,5,6,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,5,6,2,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,5,6,3,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,5,6,4,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,5,6,4,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,6,2,3,4,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,6,3,4,5,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,6,4,5,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,6,4,5,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,6,5,2,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,6,5,3,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,6,5,4,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[1,7,6,5,4,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,1,3,5,7,4,6] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[2,1,3,5,7,6,4] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[2,1,4,5,7,3,6] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[2,1,4,5,7,6,3] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[2,1,6,7,3,4,5] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[2,1,6,7,4,5,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[2,1,6,7,5,3,4] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[2,1,6,7,5,4,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[2,1,7,3,4,5,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,1,7,4,5,6,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,1,7,5,6,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,1,7,5,6,4,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,1,7,6,3,4,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,1,7,6,4,5,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,1,7,6,5,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,1,7,6,5,4,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[2,3,1,6,7,4,5] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[2,3,1,6,7,5,4] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[2,3,1,7,4,5,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,3,1,7,5,6,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,3,1,7,6,4,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,3,1,7,6,5,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,3,4,1,6,7,5] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[2,3,4,1,7,5,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,3,4,1,7,6,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,3,4,5,1,6,7] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[2,3,4,5,1,7,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,3,4,5,6,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => [5,1,6,2,3,7,4] => 9
[2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => [5,1,6,2,3,7,4] => 9
[2,7,1,6,3,4,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,1,6,4,5,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,1,6,5,3,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,1,6,5,4,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,3,1,6,4,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,3,1,6,5,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,3,4,1,6,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,3,4,5,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[2,7,4,1,6,5,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,4,3,1,6,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,4,5,1,6,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,4,5,3,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[2,7,5,1,6,3,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,5,1,6,4,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,5,3,1,6,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,5,3,4,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,5,4,1,6,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,5,4,3,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,1,2,7,4,5,6] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,1,2,7,5,6,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,1,2,7,6,4,5] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,1,2,7,6,5,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,1,4,5,7,2,6] => [1,4,5,7,2,6,3] => [5,1,6,2,3,7,4] => 9
[3,1,4,5,7,6,2] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[3,1,6,2,7,4,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,1,6,2,7,5,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,1,6,4,2,7,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,1,6,4,5,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,1,6,5,2,7,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,1,6,5,4,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,1,6,7,4,5,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[3,1,6,7,5,4,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[3,1,7,4,5,6,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,1,7,5,6,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,1,7,6,4,5,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,1,7,6,5,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,2,1,4,5,7,6] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[3,2,1,6,7,4,5] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[3,2,1,6,7,5,4] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[3,2,1,7,4,5,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,2,1,7,5,6,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,2,1,7,6,4,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,2,1,7,6,5,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,2,6,1,4,5,7] => [1,4,5,7,2,6,3] => [5,1,6,2,3,7,4] => 9
[3,2,7,1,6,4,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,2,7,1,6,5,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,2,7,4,1,6,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,2,7,4,5,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,2,7,4,5,6,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,2,7,5,1,6,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,2,7,5,4,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,2,7,5,6,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,2,7,6,4,5,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,2,7,6,5,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,4,1,2,7,5,6] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,4,1,2,7,6,5] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,4,1,6,2,7,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,4,1,6,5,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,4,1,6,7,5,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[3,4,1,7,5,6,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,4,1,7,6,5,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,4,2,1,6,7,5] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[3,4,2,1,7,5,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,4,2,1,7,6,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,4,2,7,1,6,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,4,2,7,5,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,4,2,7,5,6,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,4,2,7,6,5,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,4,5,1,2,7,6] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,4,5,1,6,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,4,5,1,6,7,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[3,4,5,1,7,6,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,4,5,2,1,6,7] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[3,4,5,2,1,7,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,4,5,2,7,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[3,4,5,2,7,6,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,4,5,6,1,2,7] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,4,5,6,1,7,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,4,5,6,2,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[3,4,5,6,2,7,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[3,6,1,4,5,7,2] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[3,6,2,1,4,5,7] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[4,1,2,7,5,6,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,1,2,7,6,5,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,1,3,2,7,5,6] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[4,1,3,2,7,6,5] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[4,1,3,5,7,6,2] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[4,1,6,2,7,5,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,1,6,3,2,7,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,1,6,5,2,7,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,1,6,5,3,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,1,6,7,5,2,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,1,6,7,5,3,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,1,7,5,6,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,1,7,5,6,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,1,7,6,5,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,1,7,6,5,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,2,1,3,5,7,6] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[4,2,1,6,7,5,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,2,1,7,5,6,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,2,1,7,6,5,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,2,3,1,6,7,5] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,2,3,1,7,5,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,2,3,1,7,6,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,2,7,1,6,5,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,2,7,3,1,6,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,2,7,5,1,6,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,2,7,5,3,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,2,7,5,6,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[4,2,7,5,6,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,2,7,6,5,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[4,2,7,6,5,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,3,1,2,7,5,6] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,3,1,2,7,6,5] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,3,1,6,2,7,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,3,1,6,5,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,3,1,6,7,5,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,3,1,7,5,6,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,3,1,7,6,5,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,3,2,1,6,7,5] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,3,2,1,7,5,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,3,2,1,7,6,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,3,2,7,1,6,5] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,3,2,7,5,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,3,2,7,5,6,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,3,2,7,6,5,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,5,1,2,7,6,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,5,1,3,2,7,6] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[4,5,1,6,2,7,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,5,1,6,3,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,5,1,6,7,2,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,5,1,6,7,3,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,5,1,7,6,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,1,7,6,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,2,1,6,7,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,5,2,1,7,6,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,2,3,1,6,7] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,5,2,3,1,7,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,2,7,1,6,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,5,2,7,3,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,5,2,7,6,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[4,5,2,7,6,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,5,3,1,2,7,6] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,5,3,1,6,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,5,3,1,6,7,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,5,3,1,7,6,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,3,2,1,6,7] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[4,5,3,2,1,7,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,3,2,7,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[4,5,3,2,7,6,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,5,6,1,2,7,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,5,6,1,3,2,7] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[4,5,6,1,7,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,6,1,7,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,6,2,1,7,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,6,2,3,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,6,2,7,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[4,5,6,2,7,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,5,6,3,1,2,7] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,5,6,3,1,7,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,6,3,2,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[4,5,6,3,2,7,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[4,6,1,3,5,7,2] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[4,6,2,1,3,5,7] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[5,1,2,7,6,3,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,1,2,7,6,4,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,1,3,2,7,6,4] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[5,1,6,2,7,3,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,1,6,2,7,4,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,1,6,3,2,7,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,1,6,3,4,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,1,6,4,2,7,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,1,6,4,3,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,1,6,7,2,3,4] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,1,6,7,3,4,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,1,6,7,4,2,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,1,6,7,4,3,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,1,7,6,2,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,1,7,6,3,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,1,7,6,4,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,1,7,6,4,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,2,1,6,7,3,4] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,2,1,6,7,4,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,2,1,7,6,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,2,1,7,6,4,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,2,3,1,6,7,4] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,2,3,1,7,6,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,2,3,4,1,6,7] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,2,3,4,1,7,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,2,7,1,6,3,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,2,7,1,6,4,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,2,7,3,1,6,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,2,7,3,4,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,2,7,4,1,6,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,2,7,4,3,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,2,7,6,3,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,2,7,6,4,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[5,2,7,6,4,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,3,1,2,7,6,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,3,1,6,2,7,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,3,1,6,4,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,3,1,6,7,4,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,3,1,7,6,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,3,2,1,6,7,4] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,3,2,1,7,6,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,3,2,7,1,6,4] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,3,2,7,4,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,3,2,7,6,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,3,4,1,2,7,6] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,3,4,1,6,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,3,4,1,6,7,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,3,4,1,7,6,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,3,4,2,1,6,7] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,3,4,2,1,7,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,3,4,2,7,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,3,4,2,7,6,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,4,1,2,7,6,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,4,1,3,2,7,6] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[5,4,1,6,2,7,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,4,1,6,3,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,4,1,6,7,2,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,4,1,6,7,3,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,4,1,7,6,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,4,1,7,6,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,4,2,1,6,7,3] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,4,2,1,7,6,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,4,2,3,1,6,7] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,4,2,3,1,7,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,4,2,7,1,6,3] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,4,2,7,3,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,4,2,7,6,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[5,4,2,7,6,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,4,3,1,2,7,6] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,4,3,1,6,2,7] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,4,3,1,6,7,2] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,4,3,1,7,6,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,4,3,2,1,6,7] => [1,6,7,2,3,4,5] => [7,2,1,3,4,5,6] => 16
[5,4,3,2,1,7,6] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,4,3,2,7,1,6] => [1,6,2,7,3,4,5] => [7,3,2,1,4,5,6] => 10
[5,4,3,2,7,6,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,1,2,7,3,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,1,2,7,4,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,1,3,2,7,4] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[5,6,1,7,2,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,1,7,3,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,1,7,4,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,1,7,4,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,2,1,7,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,2,1,7,4,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,2,3,1,7,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,2,3,4,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,2,7,3,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,2,7,4,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[5,6,2,7,4,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,3,1,2,7,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,3,1,7,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,3,2,1,7,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,3,2,7,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,3,4,1,2,7] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,3,4,1,7,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,3,4,2,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,3,4,2,7,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,4,1,2,7,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,4,1,3,2,7] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[5,6,4,1,7,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,4,1,7,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,4,2,1,7,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,4,2,3,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,4,2,7,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[5,6,4,2,7,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,4,3,1,2,7] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[5,6,4,3,1,7,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,4,3,2,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[5,6,4,3,2,7,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,1,2,7,3,4,5] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,1,2,7,4,5,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,1,2,7,5,3,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,1,2,7,5,4,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,1,3,2,7,4,5] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,1,3,2,7,5,4] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,1,3,5,7,2,4] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[6,1,3,5,7,4,2] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[6,1,4,5,7,2,3] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[6,1,4,5,7,3,2] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[6,1,7,2,3,4,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,1,7,3,4,5,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,1,7,4,5,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,1,7,4,5,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,1,7,5,2,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,1,7,5,3,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,1,7,5,4,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,1,7,5,4,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,2,1,3,5,7,4] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[6,2,1,4,5,7,3] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[6,2,1,7,3,4,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,2,1,7,4,5,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,2,1,7,5,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,2,1,7,5,4,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,2,3,1,4,5,7] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[6,2,3,1,7,4,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,2,3,1,7,5,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,2,3,4,1,7,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,2,3,4,5,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,2,4,1,3,5,7] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[6,2,7,3,4,5,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,2,7,4,5,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,2,7,4,5,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,2,7,5,3,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,2,7,5,4,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,2,7,5,4,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,3,1,2,7,4,5] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,3,1,2,7,5,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,3,1,4,5,7,2] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[6,3,1,7,4,5,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,3,1,7,5,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,3,2,1,4,5,7] => [1,4,5,7,2,3,6] => [5,1,6,2,3,4,7] => 12
[6,3,2,1,7,4,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,3,2,1,7,5,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,3,2,7,4,5,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,3,2,7,5,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,3,4,1,2,7,5] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,3,4,1,7,5,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,3,4,2,1,7,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,3,4,2,7,5,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,3,4,5,1,2,7] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,3,4,5,1,7,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,3,4,5,2,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,3,4,5,2,7,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,4,1,2,7,5,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,4,1,3,2,7,5] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,4,1,3,5,7,2] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[6,4,1,7,5,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,1,7,5,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,2,1,3,5,7] => [1,3,5,7,2,4,6] => [4,1,6,2,3,5,7] => 13
[6,4,2,1,7,5,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,2,3,1,7,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,2,7,5,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,4,2,7,5,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,4,3,1,2,7,5] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,4,3,1,7,5,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,3,2,1,7,5] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,3,2,7,5,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,4,5,1,2,7,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,4,5,1,3,2,7] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,4,5,1,7,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,5,1,7,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,5,2,1,7,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,5,2,3,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,5,2,7,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,4,5,2,7,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,4,5,3,1,2,7] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,4,5,3,1,7,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,5,3,2,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,4,5,3,2,7,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,1,2,7,3,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,1,2,7,4,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,1,3,2,7,4] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,5,1,7,2,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,1,7,3,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,1,7,4,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,1,7,4,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,2,1,7,3,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,2,1,7,4,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,2,3,1,7,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,2,3,4,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,2,7,3,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,2,7,4,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,5,2,7,4,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,3,1,2,7,4] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,3,1,7,4,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,3,2,1,7,4] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,3,2,7,4,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,3,4,1,2,7] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,3,4,1,7,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,3,4,2,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,3,4,2,7,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,4,1,2,7,3] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,4,1,3,2,7] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,5,4,1,7,2,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,4,1,7,3,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,4,2,1,7,3] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,4,2,3,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,4,2,7,1,3] => [1,3,2,7,4,5,6] => [4,3,2,1,5,6,7] => 13
[6,5,4,2,7,3,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,4,3,1,2,7] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[6,5,4,3,1,7,2] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,4,3,2,1,7] => [1,7,2,3,4,5,6] => [2,3,1,4,5,6,7] => 26
[6,5,4,3,2,7,1] => [1,2,7,3,4,5,6] => [3,2,1,4,5,6,7] => 22
[2,4,3,6,5,7,8,1] => [1,2,4,3,6,5,7,8] => [3,1,5,4,7,6,8,2] => 20
[1,4,3,2,6,7,8,5] => [1,4,2,6,7,8,3,5] => [5,3,1,7,8,2,4,6] => 8
[1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [3,1,5,4,7,6,8,2] => 20
[3,1,4,2,6,7,8,5] => [1,4,2,6,7,8,3,5] => [5,3,1,7,8,2,4,6] => 8
[1,4,2,6,7,8,3,5] => [1,4,2,6,7,8,3,5] => [5,3,1,7,8,2,4,6] => 8
[8,7,5,3,6,1,2,4] => [1,2,4,3,6,5,7,8] => [3,1,5,4,7,6,8,2] => 20
[5,1,4,2,6,7,8,3] => [1,4,2,6,7,8,3,5] => [5,3,1,7,8,2,4,6] => 8
[8,1,2,4,3,6,5,7] => [1,2,4,3,6,5,7,8] => [3,1,5,4,7,6,8,2] => 20
[8,5,7,3,6,2,4,1] => [1,2,4,3,6,5,7,8] => [3,1,5,4,7,6,8,2] => 20
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searching the database for statistics with the same generating function
Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
18,6 42,6,34,20,0,18 32,40,108,114,86,28,48,80,34,36,60,0,0,54
$F_{1} = 1$
$F_{2} = 2$
$F_{3} = 6$
$F_{4} = 18 + 6\ q$
$F_{5} = 42 + 6\ q + 34\ q^{2} + 20\ q^{3} + 18\ q^{5}$
$F_{6} = 32 + 40\ q + 108\ q^{2} + 114\ q^{3} + 86\ q^{4} + 28\ q^{5} + 48\ q^{6} + 80\ q^{7} + 34\ q^{8} + 36\ q^{9} + 60\ q^{10} + 54\ q^{13}$
Description
The number of occurrences of the pattern 123 in a permutation.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
inverse toric promotion
Description
Toric promotion of a permutation.
Let $\sigma\in\mathfrak S_n$ be a permutation and let
$ \tau_{i, j}(\sigma) = \begin{cases} \sigma & \text{if $|\sigma^{-1}(i) - \sigma^{-1}(j)| = 1$}\\ (i, j)\circ\sigma & \text{otherwise}. \end{cases} $
The toric promotion operator is the product $\tau_{n,1}\tau_{n-1,n}\dots\tau_{1,2}$.
This is the special case of toric promotion on graphs for the path graph. Its order is $n-1$.
Let $\sigma\in\mathfrak S_n$ be a permutation and let
$ \tau_{i, j}(\sigma) = \begin{cases} \sigma & \text{if $|\sigma^{-1}(i) - \sigma^{-1}(j)| = 1$}\\ (i, j)\circ\sigma & \text{otherwise}. \end{cases} $
The toric promotion operator is the product $\tau_{n,1}\tau_{n-1,n}\dots\tau_{1,2}$.
This is the special case of toric promotion on graphs for the path graph. Its order is $n-1$.
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