Identifier
Identifier
Values
[1] => 0
[1,2] => 0
[2,1] => 0
[1,2,3] => 0
[1,3,2] => 1
[2,1,3] => 1
[2,3,1] => 0
[3,1,2] => 0
[3,2,1] => 1
[1,2,3,4] => 0
[1,2,4,3] => 2
[1,3,2,4] => 2
[1,3,4,2] => 2
[1,4,2,3] => 2
[1,4,3,2] => 4
[2,1,3,4] => 2
[2,1,4,3] => 4
[2,3,1,4] => 2
[2,3,4,1] => 0
[2,4,1,3] => 2
[2,4,3,1] => 2
[3,1,2,4] => 2
[3,1,4,2] => 2
[3,2,1,4] => 4
[3,2,4,1] => 2
[3,4,1,2] => 0
[3,4,2,1] => 2
[4,1,2,3] => 0
[4,1,3,2] => 2
[4,2,1,3] => 2
[4,2,3,1] => 2
[4,3,1,2] => 2
[4,3,2,1] => 4
[1,2,3,4,5] => 0
[1,2,3,5,4] => 3
[1,2,4,3,5] => 3
[1,2,4,5,3] => 4
[1,2,5,3,4] => 4
[1,2,5,4,3] => 7
[1,3,2,4,5] => 3
[1,3,2,5,4] => 6
[1,3,4,2,5] => 4
[1,3,4,5,2] => 3
[1,3,5,2,4] => 5
[1,3,5,4,2] => 6
[1,4,2,3,5] => 4
[1,4,2,5,3] => 5
[1,4,3,2,5] => 7
[1,4,3,5,2] => 6
[1,4,5,2,3] => 4
[1,4,5,3,2] => 7
[1,5,2,3,4] => 3
[1,5,2,4,3] => 6
[1,5,3,2,4] => 6
[1,5,3,4,2] => 7
[1,5,4,2,3] => 7
[1,5,4,3,2] => 10
[2,1,3,4,5] => 3
[2,1,3,5,4] => 6
[2,1,4,3,5] => 6
[2,1,4,5,3] => 7
[2,1,5,3,4] => 7
[2,1,5,4,3] => 10
[2,3,1,4,5] => 4
[2,3,1,5,4] => 7
[2,3,4,1,5] => 3
[2,3,4,5,1] => 0
[2,3,5,1,4] => 4
[2,3,5,4,1] => 3
[2,4,1,3,5] => 5
[2,4,1,5,3] => 6
[2,4,3,1,5] => 6
[2,4,3,5,1] => 3
[2,4,5,1,3] => 3
[2,4,5,3,1] => 4
[2,5,1,3,4] => 4
[2,5,1,4,3] => 7
[2,5,3,1,4] => 5
[2,5,3,4,1] => 4
[2,5,4,1,3] => 6
[2,5,4,3,1] => 7
[3,1,2,4,5] => 4
[3,1,2,5,4] => 7
[3,1,4,2,5] => 5
[3,1,4,5,2] => 4
[3,1,5,2,4] => 6
[3,1,5,4,2] => 7
[3,2,1,4,5] => 7
[3,2,1,5,4] => 10
[3,2,4,1,5] => 6
[3,2,4,5,1] => 3
[3,2,5,1,4] => 7
[3,2,5,4,1] => 6
[3,4,1,2,5] => 4
[3,4,1,5,2] => 3
[3,4,2,1,5] => 7
[3,4,2,5,1] => 4
[3,4,5,1,2] => 0
[3,4,5,2,1] => 3
[3,5,1,2,4] => 3
[3,5,1,4,2] => 4
[3,5,2,1,4] => 6
[3,5,2,4,1] => 5
[3,5,4,1,2] => 3
[3,5,4,2,1] => 6
[4,1,2,3,5] => 3
[4,1,2,5,3] => 4
[4,1,3,2,5] => 6
[4,1,3,5,2] => 5
[4,1,5,2,3] => 3
[4,1,5,3,2] => 6
[4,2,1,3,5] => 6
[4,2,1,5,3] => 7
[4,2,3,1,5] => 7
[4,2,3,5,1] => 4
[4,2,5,1,3] => 4
[4,2,5,3,1] => 5
[4,3,1,2,5] => 7
[4,3,1,5,2] => 6
[4,3,2,1,5] => 10
[4,3,2,5,1] => 7
[4,3,5,1,2] => 3
[4,3,5,2,1] => 6
[4,5,1,2,3] => 0
[4,5,1,3,2] => 3
[4,5,2,1,3] => 3
[4,5,2,3,1] => 4
[4,5,3,1,2] => 4
[4,5,3,2,1] => 7
[5,1,2,3,4] => 0
[5,1,2,4,3] => 3
[5,1,3,2,4] => 3
[5,1,3,4,2] => 4
[5,1,4,2,3] => 4
[5,1,4,3,2] => 7
[5,2,1,3,4] => 3
[5,2,1,4,3] => 6
[5,2,3,1,4] => 4
[5,2,3,4,1] => 3
[5,2,4,1,3] => 5
[5,2,4,3,1] => 6
[5,3,1,2,4] => 4
[5,3,1,4,2] => 5
[5,3,2,1,4] => 7
[5,3,2,4,1] => 6
[5,3,4,1,2] => 4
[5,3,4,2,1] => 7
[5,4,1,2,3] => 3
[5,4,1,3,2] => 6
[5,4,2,1,3] => 6
[5,4,2,3,1] => 7
[5,4,3,1,2] => 7
[5,4,3,2,1] => 10
[1,2,3,4,5,6] => 0
[1,2,3,4,6,5] => 4
[1,2,3,5,4,6] => 4
[1,2,3,5,6,4] => 6
[1,2,3,6,4,5] => 6
[1,2,3,6,5,4] => 10
[1,2,4,3,5,6] => 4
[1,2,4,3,6,5] => 8
[1,2,4,5,3,6] => 6
[1,2,4,5,6,3] => 6
[1,2,4,6,3,5] => 8
[1,2,4,6,5,3] => 10
[1,2,5,3,4,6] => 6
[1,2,5,3,6,4] => 8
[1,2,5,4,3,6] => 10
[1,2,5,4,6,3] => 10
[1,2,5,6,3,4] => 8
[1,2,5,6,4,3] => 12
[1,2,6,3,4,5] => 6
[1,2,6,3,5,4] => 10
[1,2,6,4,3,5] => 10
[1,2,6,4,5,3] => 12
[1,2,6,5,3,4] => 12
[1,2,6,5,4,3] => 16
[1,3,2,4,5,6] => 4
[1,3,2,4,6,5] => 8
[1,3,2,5,4,6] => 8
[1,3,2,5,6,4] => 10
[1,3,2,6,4,5] => 10
[1,3,2,6,5,4] => 14
[1,3,4,2,5,6] => 6
[1,3,4,2,6,5] => 10
[1,3,4,5,2,6] => 6
[1,3,4,5,6,2] => 4
[1,3,4,6,2,5] => 8
[1,3,4,6,5,2] => 8
[1,3,5,2,4,6] => 8
[1,3,5,2,6,4] => 10
[1,3,5,4,2,6] => 10
[1,3,5,4,6,2] => 8
[1,3,5,6,2,4] => 8
[1,3,5,6,4,2] => 10
[1,3,6,2,4,5] => 8
[1,3,6,2,5,4] => 12
[1,3,6,4,2,5] => 10
[1,3,6,4,5,2] => 10
[1,3,6,5,2,4] => 12
[1,3,6,5,4,2] => 14
[1,4,2,3,5,6] => 6
[1,4,2,3,6,5] => 10
[1,4,2,5,3,6] => 8
[1,4,2,5,6,3] => 8
[1,4,2,6,3,5] => 10
[1,4,2,6,5,3] => 12
[1,4,3,2,5,6] => 10
[1,4,3,2,6,5] => 14
[1,4,3,5,2,6] => 10
[1,4,3,5,6,2] => 8
[1,4,3,6,2,5] => 12
[1,4,3,6,5,2] => 12
[1,4,5,2,3,6] => 8
[1,4,5,2,6,3] => 8
[1,4,5,3,2,6] => 12
[1,4,5,3,6,2] => 10
[1,4,5,6,2,3] => 6
[1,4,5,6,3,2] => 10
[1,4,6,2,3,5] => 8
[1,4,6,2,5,3] => 10
[1,4,6,3,2,5] => 12
[1,4,6,3,5,2] => 12
[1,4,6,5,2,3] => 10
[1,4,6,5,3,2] => 14
[1,5,2,3,4,6] => 6
[1,5,2,3,6,4] => 8
[1,5,2,4,3,6] => 10
[1,5,2,4,6,3] => 10
[1,5,2,6,3,4] => 8
[1,5,2,6,4,3] => 12
[1,5,3,2,4,6] => 10
[1,5,3,2,6,4] => 12
[1,5,3,4,2,6] => 12
[1,5,3,4,6,2] => 10
[1,5,3,6,2,4] => 10
[1,5,3,6,4,2] => 12
[1,5,4,2,3,6] => 12
[1,5,4,2,6,3] => 12
[1,5,4,3,2,6] => 16
[1,5,4,3,6,2] => 14
[1,5,4,6,2,3] => 10
[1,5,4,6,3,2] => 14
[1,5,6,2,3,4] => 6
[1,5,6,2,4,3] => 10
[1,5,6,3,2,4] => 10
[1,5,6,3,4,2] => 12
[1,5,6,4,2,3] => 12
[1,5,6,4,3,2] => 16
[1,6,2,3,4,5] => 4
[1,6,2,3,5,4] => 8
[1,6,2,4,3,5] => 8
[1,6,2,4,5,3] => 10
[1,6,2,5,3,4] => 10
[1,6,2,5,4,3] => 14
[1,6,3,2,4,5] => 8
[1,6,3,2,5,4] => 12
[1,6,3,4,2,5] => 10
[1,6,3,4,5,2] => 10
[1,6,3,5,2,4] => 12
[1,6,3,5,4,2] => 14
[1,6,4,2,3,5] => 10
[1,6,4,2,5,3] => 12
[1,6,4,3,2,5] => 14
[1,6,4,3,5,2] => 14
[1,6,4,5,2,3] => 12
[1,6,4,5,3,2] => 16
[1,6,5,2,3,4] => 10
[1,6,5,2,4,3] => 14
[1,6,5,3,2,4] => 14
[1,6,5,3,4,2] => 16
[1,6,5,4,2,3] => 16
[1,6,5,4,3,2] => 20
[2,1,3,4,5,6] => 4
[2,1,3,4,6,5] => 8
[2,1,3,5,4,6] => 8
[2,1,3,5,6,4] => 10
[2,1,3,6,4,5] => 10
[2,1,3,6,5,4] => 14
[2,1,4,3,5,6] => 8
[2,1,4,3,6,5] => 12
[2,1,4,5,3,6] => 10
[2,1,4,5,6,3] => 10
[2,1,4,6,3,5] => 12
[2,1,4,6,5,3] => 14
[2,1,5,3,4,6] => 10
[2,1,5,3,6,4] => 12
[2,1,5,4,3,6] => 14
[2,1,5,4,6,3] => 14
[2,1,5,6,3,4] => 12
[2,1,5,6,4,3] => 16
[2,1,6,3,4,5] => 10
[2,1,6,3,5,4] => 14
[2,1,6,4,3,5] => 14
[2,1,6,4,5,3] => 16
[2,1,6,5,3,4] => 16
[2,1,6,5,4,3] => 20
[2,3,1,4,5,6] => 6
[2,3,1,4,6,5] => 10
[2,3,1,5,4,6] => 10
[2,3,1,5,6,4] => 12
[2,3,1,6,4,5] => 12
[2,3,1,6,5,4] => 16
[2,3,4,1,5,6] => 6
[2,3,4,1,6,5] => 10
[2,3,4,5,1,6] => 4
[2,3,4,5,6,1] => 0
[2,3,4,6,1,5] => 6
[2,3,4,6,5,1] => 4
[2,3,5,1,4,6] => 8
[2,3,5,1,6,4] => 10
[2,3,5,4,1,6] => 8
[2,3,5,4,6,1] => 4
[2,3,5,6,1,4] => 6
[2,3,5,6,4,1] => 6
[2,3,6,1,4,5] => 8
[2,3,6,1,5,4] => 12
[2,3,6,4,1,5] => 8
[2,3,6,4,5,1] => 6
[2,3,6,5,1,4] => 10
[2,3,6,5,4,1] => 10
[2,4,1,3,5,6] => 8
[2,4,1,3,6,5] => 12
[2,4,1,5,3,6] => 10
[2,4,1,5,6,3] => 10
[2,4,1,6,3,5] => 12
[2,4,1,6,5,3] => 14
[2,4,3,1,5,6] => 10
[2,4,3,1,6,5] => 14
[2,4,3,5,1,6] => 8
[2,4,3,5,6,1] => 4
[2,4,3,6,1,5] => 10
[2,4,3,6,5,1] => 8
[2,4,5,1,3,6] => 8
[2,4,5,1,6,3] => 8
[2,4,5,3,1,6] => 10
[2,4,5,3,6,1] => 6
[2,4,5,6,1,3] => 4
[2,4,5,6,3,1] => 6
[2,4,6,1,3,5] => 8
[2,4,6,1,5,3] => 10
[2,4,6,3,1,5] => 10
[2,4,6,3,5,1] => 8
[2,4,6,5,1,3] => 8
[2,4,6,5,3,1] => 10
[2,5,1,3,4,6] => 8
[2,5,1,3,6,4] => 10
[2,5,1,4,3,6] => 12
[2,5,1,4,6,3] => 12
[2,5,1,6,3,4] => 10
[2,5,1,6,4,3] => 14
[2,5,3,1,4,6] => 10
[2,5,3,1,6,4] => 12
[2,5,3,4,1,6] => 10
[2,5,3,4,6,1] => 6
[2,5,3,6,1,4] => 8
[2,5,3,6,4,1] => 8
[2,5,4,1,3,6] => 12
[2,5,4,1,6,3] => 12
[2,5,4,3,1,6] => 14
[2,5,4,3,6,1] => 10
[2,5,4,6,1,3] => 8
[2,5,4,6,3,1] => 10
[2,5,6,1,3,4] => 6
[2,5,6,1,4,3] => 10
[2,5,6,3,1,4] => 8
[2,5,6,3,4,1] => 8
[2,5,6,4,1,3] => 10
[2,5,6,4,3,1] => 12
[2,6,1,3,4,5] => 6
[2,6,1,3,5,4] => 10
[2,6,1,4,3,5] => 10
[2,6,1,4,5,3] => 12
[2,6,1,5,3,4] => 12
[2,6,1,5,4,3] => 16
[2,6,3,1,4,5] => 8
[2,6,3,1,5,4] => 12
[2,6,3,4,1,5] => 8
[2,6,3,4,5,1] => 6
[2,6,3,5,1,4] => 10
[2,6,3,5,4,1] => 10
[2,6,4,1,3,5] => 10
[2,6,4,1,5,3] => 12
[2,6,4,3,1,5] => 12
[2,6,4,3,5,1] => 10
[2,6,4,5,1,3] => 10
[2,6,4,5,3,1] => 12
[2,6,5,1,3,4] => 10
[2,6,5,1,4,3] => 14
[2,6,5,3,1,4] => 12
[2,6,5,3,4,1] => 12
[2,6,5,4,1,3] => 14
[2,6,5,4,3,1] => 16
[3,1,2,4,5,6] => 6
[3,1,2,4,6,5] => 10
[3,1,2,5,4,6] => 10
[3,1,2,5,6,4] => 12
[3,1,2,6,4,5] => 12
[3,1,2,6,5,4] => 16
[3,1,4,2,5,6] => 8
[3,1,4,2,6,5] => 12
[3,1,4,5,2,6] => 8
[3,1,4,5,6,2] => 6
[3,1,4,6,2,5] => 10
[3,1,4,6,5,2] => 10
[3,1,5,2,4,6] => 10
[3,1,5,2,6,4] => 12
[3,1,5,4,2,6] => 12
[3,1,5,4,6,2] => 10
[3,1,5,6,2,4] => 10
[3,1,5,6,4,2] => 12
[3,1,6,2,4,5] => 10
[3,1,6,2,5,4] => 14
[3,1,6,4,2,5] => 12
[3,1,6,4,5,2] => 12
[3,1,6,5,2,4] => 14
[3,1,6,5,4,2] => 16
[3,2,1,4,5,6] => 10
[3,2,1,4,6,5] => 14
[3,2,1,5,4,6] => 14
[3,2,1,5,6,4] => 16
[3,2,1,6,4,5] => 16
[3,2,1,6,5,4] => 20
[3,2,4,1,5,6] => 10
[3,2,4,1,6,5] => 14
[3,2,4,5,1,6] => 8
[3,2,4,5,6,1] => 4
[3,2,4,6,1,5] => 10
[3,2,4,6,5,1] => 8
[3,2,5,1,4,6] => 12
[3,2,5,1,6,4] => 14
[3,2,5,4,1,6] => 12
[3,2,5,4,6,1] => 8
[3,2,5,6,1,4] => 10
[3,2,5,6,4,1] => 10
[3,2,6,1,4,5] => 12
[3,2,6,1,5,4] => 16
[3,2,6,4,1,5] => 12
[3,2,6,4,5,1] => 10
[3,2,6,5,1,4] => 14
[3,2,6,5,4,1] => 14
[3,4,1,2,5,6] => 8
[3,4,1,2,6,5] => 12
[3,4,1,5,2,6] => 8
[3,4,1,5,6,2] => 6
[3,4,1,6,2,5] => 10
[3,4,1,6,5,2] => 10
[3,4,2,1,5,6] => 12
[3,4,2,1,6,5] => 16
[3,4,2,5,1,6] => 10
[3,4,2,5,6,1] => 6
[3,4,2,6,1,5] => 12
[3,4,2,6,5,1] => 10
[3,4,5,1,2,6] => 6
[3,4,5,1,6,2] => 4
[3,4,5,2,1,6] => 10
[3,4,5,2,6,1] => 6
[3,4,5,6,1,2] => 0
[3,4,5,6,2,1] => 4
[3,4,6,1,2,5] => 6
[3,4,6,1,5,2] => 6
[3,4,6,2,1,5] => 10
[3,4,6,2,5,1] => 8
[3,4,6,5,1,2] => 4
[3,4,6,5,2,1] => 8
[3,5,1,2,4,6] => 8
[3,5,1,2,6,4] => 10
[3,5,1,4,2,6] => 10
[3,5,1,4,6,2] => 8
[3,5,1,6,2,4] => 8
[3,5,1,6,4,2] => 10
[3,5,2,1,4,6] => 12
[3,5,2,1,6,4] => 14
[3,5,2,4,1,6] => 12
[3,5,2,4,6,1] => 8
[3,5,2,6,1,4] => 10
[3,5,2,6,4,1] => 10
[3,5,4,1,2,6] => 10
[3,5,4,1,6,2] => 8
[3,5,4,2,1,6] => 14
[3,5,4,2,6,1] => 10
[3,5,4,6,1,2] => 4
[3,5,4,6,2,1] => 8
[3,5,6,1,2,4] => 4
[3,5,6,1,4,2] => 6
[3,5,6,2,1,4] => 8
[3,5,6,2,4,1] => 8
[3,5,6,4,1,2] => 6
[3,5,6,4,2,1] => 10
[3,6,1,2,4,5] => 6
[3,6,1,2,5,4] => 10
[3,6,1,4,2,5] => 8
[3,6,1,4,5,2] => 8
[3,6,1,5,2,4] => 10
[3,6,1,5,4,2] => 12
[3,6,2,1,4,5] => 10
[3,6,2,1,5,4] => 14
[3,6,2,4,1,5] => 10
[3,6,2,4,5,1] => 8
[3,6,2,5,1,4] => 12
[3,6,2,5,4,1] => 12
[3,6,4,1,2,5] => 8
[3,6,4,1,5,2] => 8
[3,6,4,2,1,5] => 12
[3,6,4,2,5,1] => 10
[3,6,4,5,1,2] => 6
[3,6,4,5,2,1] => 10
[3,6,5,1,2,4] => 8
[3,6,5,1,4,2] => 10
[3,6,5,2,1,4] => 12
[3,6,5,2,4,1] => 12
[3,6,5,4,1,2] => 10
[3,6,5,4,2,1] => 14
[4,1,2,3,5,6] => 6
[4,1,2,3,6,5] => 10
[4,1,2,5,3,6] => 8
[4,1,2,5,6,3] => 8
[4,1,2,6,3,5] => 10
[4,1,2,6,5,3] => 12
[4,1,3,2,5,6] => 10
[4,1,3,2,6,5] => 14
[4,1,3,5,2,6] => 10
[4,1,3,5,6,2] => 8
[4,1,3,6,2,5] => 12
[4,1,3,6,5,2] => 12
[4,1,5,2,3,6] => 8
[4,1,5,2,6,3] => 8
[4,1,5,3,2,6] => 12
[4,1,5,3,6,2] => 10
[4,1,5,6,2,3] => 6
[4,1,5,6,3,2] => 10
[4,1,6,2,3,5] => 8
[4,1,6,2,5,3] => 10
[4,1,6,3,2,5] => 12
[4,1,6,3,5,2] => 12
[4,1,6,5,2,3] => 10
[4,1,6,5,3,2] => 14
[4,2,1,3,5,6] => 10
[4,2,1,3,6,5] => 14
[4,2,1,5,3,6] => 12
[4,2,1,5,6,3] => 12
[4,2,1,6,3,5] => 14
[4,2,1,6,5,3] => 16
[4,2,3,1,5,6] => 12
[4,2,3,1,6,5] => 16
[4,2,3,5,1,6] => 10
[4,2,3,5,6,1] => 6
[4,2,3,6,1,5] => 12
[4,2,3,6,5,1] => 10
[4,2,5,1,3,6] => 10
[4,2,5,1,6,3] => 10
[4,2,5,3,1,6] => 12
[4,2,5,3,6,1] => 8
[4,2,5,6,1,3] => 6
[4,2,5,6,3,1] => 8
[4,2,6,1,3,5] => 10
[4,2,6,1,5,3] => 12
[4,2,6,3,1,5] => 12
[4,2,6,3,5,1] => 10
[4,2,6,5,1,3] => 10
[4,2,6,5,3,1] => 12
[4,3,1,2,5,6] => 12
[4,3,1,2,6,5] => 16
[4,3,1,5,2,6] => 12
[4,3,1,5,6,2] => 10
[4,3,1,6,2,5] => 14
[4,3,1,6,5,2] => 14
[4,3,2,1,5,6] => 16
[4,3,2,1,6,5] => 20
[4,3,2,5,1,6] => 14
[4,3,2,5,6,1] => 10
[4,3,2,6,1,5] => 16
[4,3,2,6,5,1] => 14
[4,3,5,1,2,6] => 10
[4,3,5,1,6,2] => 8
[4,3,5,2,1,6] => 14
[4,3,5,2,6,1] => 10
[4,3,5,6,1,2] => 4
[4,3,5,6,2,1] => 8
[4,3,6,1,2,5] => 10
[4,3,6,1,5,2] => 10
[4,3,6,2,1,5] => 14
[4,3,6,2,5,1] => 12
[4,3,6,5,1,2] => 8
[4,3,6,5,2,1] => 12
[4,5,1,2,3,6] => 6
[4,5,1,2,6,3] => 6
[4,5,1,3,2,6] => 10
[4,5,1,3,6,2] => 8
[4,5,1,6,2,3] => 4
[4,5,1,6,3,2] => 8
[4,5,2,1,3,6] => 10
[4,5,2,1,6,3] => 10
[4,5,2,3,1,6] => 12
[4,5,2,3,6,1] => 8
[4,5,2,6,1,3] => 6
[4,5,2,6,3,1] => 8
[4,5,3,1,2,6] => 12
[4,5,3,1,6,2] => 10
[4,5,3,2,1,6] => 16
[4,5,3,2,6,1] => 12
[4,5,3,6,1,2] => 6
[4,5,3,6,2,1] => 10
[4,5,6,1,2,3] => 0
[4,5,6,1,3,2] => 4
[4,5,6,2,1,3] => 4
[4,5,6,2,3,1] => 6
[4,5,6,3,1,2] => 6
[4,5,6,3,2,1] => 10
[4,6,1,2,3,5] => 4
[4,6,1,2,5,3] => 6
[4,6,1,3,2,5] => 8
[4,6,1,3,5,2] => 8
[4,6,1,5,2,3] => 6
[4,6,1,5,3,2] => 10
[4,6,2,1,3,5] => 8
[4,6,2,1,5,3] => 10
[4,6,2,3,1,5] => 10
[4,6,2,3,5,1] => 8
[4,6,2,5,1,3] => 8
[4,6,2,5,3,1] => 10
[4,6,3,1,2,5] => 10
[4,6,3,1,5,2] => 10
[4,6,3,2,1,5] => 14
[4,6,3,2,5,1] => 12
[4,6,3,5,1,2] => 8
[4,6,3,5,2,1] => 12
[4,6,5,1,2,3] => 4
[4,6,5,1,3,2] => 8
[4,6,5,2,1,3] => 8
[4,6,5,2,3,1] => 10
[4,6,5,3,1,2] => 10
[4,6,5,3,2,1] => 14
[5,1,2,3,4,6] => 4
[5,1,2,3,6,4] => 6
[5,1,2,4,3,6] => 8
[5,1,2,4,6,3] => 8
[5,1,2,6,3,4] => 6
[5,1,2,6,4,3] => 10
[5,1,3,2,4,6] => 8
[5,1,3,2,6,4] => 10
[5,1,3,4,2,6] => 10
[5,1,3,4,6,2] => 8
[5,1,3,6,2,4] => 8
[5,1,3,6,4,2] => 10
[5,1,4,2,3,6] => 10
[5,1,4,2,6,3] => 10
[5,1,4,3,2,6] => 14
[5,1,4,3,6,2] => 12
[5,1,4,6,2,3] => 8
[5,1,4,6,3,2] => 12
[5,1,6,2,3,4] => 4
[5,1,6,2,4,3] => 8
[5,1,6,3,2,4] => 8
[5,1,6,3,4,2] => 10
[5,1,6,4,2,3] => 10
[5,1,6,4,3,2] => 14
[5,2,1,3,4,6] => 8
[5,2,1,3,6,4] => 10
[5,2,1,4,3,6] => 12
[5,2,1,4,6,3] => 12
[5,2,1,6,3,4] => 10
[5,2,1,6,4,3] => 14
[5,2,3,1,4,6] => 10
[5,2,3,1,6,4] => 12
[5,2,3,4,1,6] => 10
[5,2,3,4,6,1] => 6
[5,2,3,6,1,4] => 8
[5,2,3,6,4,1] => 8
[5,2,4,1,3,6] => 12
[5,2,4,1,6,3] => 12
[5,2,4,3,1,6] => 14
[5,2,4,3,6,1] => 10
[5,2,4,6,1,3] => 8
[5,2,4,6,3,1] => 10
[5,2,6,1,3,4] => 6
[5,2,6,1,4,3] => 10
[5,2,6,3,1,4] => 8
[5,2,6,3,4,1] => 8
[5,2,6,4,1,3] => 10
[5,2,6,4,3,1] => 12
[5,3,1,2,4,6] => 10
[5,3,1,2,6,4] => 12
[5,3,1,4,2,6] => 12
[5,3,1,4,6,2] => 10
[5,3,1,6,2,4] => 10
[5,3,1,6,4,2] => 12
[5,3,2,1,4,6] => 14
[5,3,2,1,6,4] => 16
[5,3,2,4,1,6] => 14
[5,3,2,4,6,1] => 10
[5,3,2,6,1,4] => 12
[5,3,2,6,4,1] => 12
[5,3,4,1,2,6] => 12
[5,3,4,1,6,2] => 10
[5,3,4,2,1,6] => 16
[5,3,4,2,6,1] => 12
[5,3,4,6,1,2] => 6
[5,3,4,6,2,1] => 10
[5,3,6,1,2,4] => 6
[5,3,6,1,4,2] => 8
[5,3,6,2,1,4] => 10
[5,3,6,2,4,1] => 10
[5,3,6,4,1,2] => 8
[5,3,6,4,2,1] => 12
[5,4,1,2,3,6] => 10
[5,4,1,2,6,3] => 10
[5,4,1,3,2,6] => 14
[5,4,1,3,6,2] => 12
[5,4,1,6,2,3] => 8
[5,4,1,6,3,2] => 12
[5,4,2,1,3,6] => 14
[5,4,2,1,6,3] => 14
[5,4,2,3,1,6] => 16
[5,4,2,3,6,1] => 12
[5,4,2,6,1,3] => 10
[5,4,2,6,3,1] => 12
[5,4,3,1,2,6] => 16
[5,4,3,1,6,2] => 14
[5,4,3,2,1,6] => 20
[5,4,3,2,6,1] => 16
[5,4,3,6,1,2] => 10
[5,4,3,6,2,1] => 14
[5,4,6,1,2,3] => 4
[5,4,6,1,3,2] => 8
[5,4,6,2,1,3] => 8
[5,4,6,2,3,1] => 10
[5,4,6,3,1,2] => 10
[5,4,6,3,2,1] => 14
[5,6,1,2,3,4] => 0
[5,6,1,2,4,3] => 4
[5,6,1,3,2,4] => 4
[5,6,1,3,4,2] => 6
[5,6,1,4,2,3] => 6
[5,6,1,4,3,2] => 10
[5,6,2,1,3,4] => 4
[5,6,2,1,4,3] => 8
[5,6,2,3,1,4] => 6
[5,6,2,3,4,1] => 6
[5,6,2,4,1,3] => 8
[5,6,2,4,3,1] => 10
[5,6,3,1,2,4] => 6
[5,6,3,1,4,2] => 8
[5,6,3,2,1,4] => 10
[5,6,3,2,4,1] => 10
[5,6,3,4,1,2] => 8
[5,6,3,4,2,1] => 12
[5,6,4,1,2,3] => 6
[5,6,4,1,3,2] => 10
[5,6,4,2,1,3] => 10
[5,6,4,2,3,1] => 12
[5,6,4,3,1,2] => 12
[5,6,4,3,2,1] => 16
[6,1,2,3,4,5] => 0
[6,1,2,3,5,4] => 4
[6,1,2,4,3,5] => 4
[6,1,2,4,5,3] => 6
[6,1,2,5,3,4] => 6
[6,1,2,5,4,3] => 10
[6,1,3,2,4,5] => 4
[6,1,3,2,5,4] => 8
[6,1,3,4,2,5] => 6
[6,1,3,4,5,2] => 6
[6,1,3,5,2,4] => 8
[6,1,3,5,4,2] => 10
[6,1,4,2,3,5] => 6
[6,1,4,2,5,3] => 8
[6,1,4,3,2,5] => 10
[6,1,4,3,5,2] => 10
[6,1,4,5,2,3] => 8
[6,1,4,5,3,2] => 12
[6,1,5,2,3,4] => 6
[6,1,5,2,4,3] => 10
[6,1,5,3,2,4] => 10
[6,1,5,3,4,2] => 12
[6,1,5,4,2,3] => 12
[6,1,5,4,3,2] => 16
[6,2,1,3,4,5] => 4
[6,2,1,3,5,4] => 8
[6,2,1,4,3,5] => 8
[6,2,1,4,5,3] => 10
[6,2,1,5,3,4] => 10
[6,2,1,5,4,3] => 14
[6,2,3,1,4,5] => 6
[6,2,3,1,5,4] => 10
[6,2,3,4,1,5] => 6
[6,2,3,4,5,1] => 4
[6,2,3,5,1,4] => 8
[6,2,3,5,4,1] => 8
[6,2,4,1,3,5] => 8
[6,2,4,1,5,3] => 10
[6,2,4,3,1,5] => 10
[6,2,4,3,5,1] => 8
[6,2,4,5,1,3] => 8
[6,2,4,5,3,1] => 10
[6,2,5,1,3,4] => 8
[6,2,5,1,4,3] => 12
[6,2,5,3,1,4] => 10
[6,2,5,3,4,1] => 10
[6,2,5,4,1,3] => 12
[6,2,5,4,3,1] => 14
[6,3,1,2,4,5] => 6
[6,3,1,2,5,4] => 10
[6,3,1,4,2,5] => 8
[6,3,1,4,5,2] => 8
[6,3,1,5,2,4] => 10
[6,3,1,5,4,2] => 12
[6,3,2,1,4,5] => 10
[6,3,2,1,5,4] => 14
[6,3,2,4,1,5] => 10
[6,3,2,4,5,1] => 8
[6,3,2,5,1,4] => 12
[6,3,2,5,4,1] => 12
[6,3,4,1,2,5] => 8
[6,3,4,1,5,2] => 8
[6,3,4,2,1,5] => 12
[6,3,4,2,5,1] => 10
[6,3,4,5,1,2] => 6
[6,3,4,5,2,1] => 10
[6,3,5,1,2,4] => 8
[6,3,5,1,4,2] => 10
[6,3,5,2,1,4] => 12
[6,3,5,2,4,1] => 12
[6,3,5,4,1,2] => 10
[6,3,5,4,2,1] => 14
[6,4,1,2,3,5] => 6
[6,4,1,2,5,3] => 8
[6,4,1,3,2,5] => 10
[6,4,1,3,5,2] => 10
[6,4,1,5,2,3] => 8
[6,4,1,5,3,2] => 12
[6,4,2,1,3,5] => 10
[6,4,2,1,5,3] => 12
[6,4,2,3,1,5] => 12
[6,4,2,3,5,1] => 10
[6,4,2,5,1,3] => 10
[6,4,2,5,3,1] => 12
[6,4,3,1,2,5] => 12
[6,4,3,1,5,2] => 12
[6,4,3,2,1,5] => 16
[6,4,3,2,5,1] => 14
[6,4,3,5,1,2] => 10
[6,4,3,5,2,1] => 14
[6,4,5,1,2,3] => 6
[6,4,5,1,3,2] => 10
[6,4,5,2,1,3] => 10
[6,4,5,2,3,1] => 12
[6,4,5,3,1,2] => 12
[6,4,5,3,2,1] => 16
[6,5,1,2,3,4] => 4
[6,5,1,2,4,3] => 8
[6,5,1,3,2,4] => 8
[6,5,1,3,4,2] => 10
[6,5,1,4,2,3] => 10
[6,5,1,4,3,2] => 14
[6,5,2,1,3,4] => 8
[6,5,2,1,4,3] => 12
[6,5,2,3,1,4] => 10
[6,5,2,3,4,1] => 10
[6,5,2,4,1,3] => 12
[6,5,2,4,3,1] => 14
[6,5,3,1,2,4] => 10
[6,5,3,1,4,2] => 12
[6,5,3,2,1,4] => 14
[6,5,3,2,4,1] => 14
[6,5,3,4,1,2] => 12
[6,5,3,4,2,1] => 16
[6,5,4,1,2,3] => 10
[6,5,4,1,3,2] => 14
[6,5,4,2,1,3] => 14
[6,5,4,2,3,1] => 16
[6,5,4,3,1,2] => 16
[6,5,4,3,2,1] => 20
[1,2,3,4,5,6,7] => 0
[1,2,3,4,5,7,6] => 5
[1,2,3,4,6,5,7] => 5
[1,2,3,4,6,7,5] => 8
[1,2,3,4,7,5,6] => 8
[1,2,3,4,7,6,5] => 13
[1,2,3,5,4,6,7] => 5
[1,2,3,5,4,7,6] => 10
[1,2,3,5,6,4,7] => 8
[1,2,3,5,6,7,4] => 9
[1,2,3,5,7,4,6] => 11
[1,2,3,5,7,6,4] => 14
[1,2,3,6,4,5,7] => 8
[1,2,3,6,4,7,5] => 11
[1,2,3,6,5,4,7] => 13
[1,2,3,6,5,7,4] => 14
[1,2,3,6,7,4,5] => 12
[1,2,3,6,7,5,4] => 17
[1,2,3,7,4,5,6] => 9
[1,2,3,7,4,6,5] => 14
[1,2,3,7,5,4,6] => 14
[1,2,3,7,5,6,4] => 17
[1,2,3,7,6,4,5] => 17
[1,2,3,7,6,5,4] => 22
[1,2,4,3,5,6,7] => 5
[1,2,4,3,5,7,6] => 10
[1,2,4,3,6,5,7] => 10
[1,2,4,3,6,7,5] => 13
[1,2,4,3,7,5,6] => 13
[1,2,4,3,7,6,5] => 18
[1,2,4,5,3,6,7] => 8
[1,2,4,5,3,7,6] => 13
[1,2,4,5,6,3,7] => 9
[1,2,4,5,6,7,3] => 8
[1,2,4,5,7,3,6] => 12
[1,2,4,5,7,6,3] => 13
[1,2,4,6,3,5,7] => 11
[1,2,4,6,3,7,5] => 14
[1,2,4,6,5,3,7] => 14
[1,2,4,6,5,7,3] => 13
[1,2,4,6,7,3,5] => 13
[1,2,4,6,7,5,3] => 16
[1,2,4,7,3,5,6] => 12
[1,2,4,7,3,6,5] => 17
[1,2,4,7,5,3,6] => 15
[1,2,4,7,5,6,3] => 16
[1,2,4,7,6,3,5] => 18
[1,2,4,7,6,5,3] => 21
[1,2,5,3,4,6,7] => 8
[1,2,5,3,4,7,6] => 13
[1,2,5,3,6,4,7] => 11
[1,2,5,3,6,7,4] => 12
[1,2,5,3,7,4,6] => 14
[1,2,5,3,7,6,4] => 17
[1,2,5,4,3,6,7] => 13
[1,2,5,4,3,7,6] => 18
[1,2,5,4,6,3,7] => 14
[1,2,5,4,6,7,3] => 13
[1,2,5,4,7,3,6] => 17
[1,2,5,4,7,6,3] => 18
[1,2,5,6,3,4,7] => 12
[1,2,5,6,3,7,4] => 13
[1,2,5,6,4,3,7] => 17
[1,2,5,6,4,7,3] => 16
[1,2,5,6,7,3,4] => 12
[1,2,5,6,7,4,3] => 17
[1,2,5,7,3,4,6] => 13
[1,2,5,7,3,6,4] => 16
[1,2,5,7,4,3,6] => 18
[1,2,5,7,4,6,3] => 19
[1,2,5,7,6,3,4] => 17
[1,2,5,7,6,4,3] => 22
[1,2,6,3,4,5,7] => 9
[1,2,6,3,4,7,5] => 12
[1,2,6,3,5,4,7] => 14
[1,2,6,3,5,7,4] => 15
[1,2,6,3,7,4,5] => 13
[1,2,6,3,7,5,4] => 18
[1,2,6,4,3,5,7] => 14
[1,2,6,4,3,7,5] => 17
[1,2,6,4,5,3,7] => 17
[1,2,6,4,5,7,3] => 16
[1,2,6,4,7,3,5] => 16
[1,2,6,4,7,5,3] => 19
[1,2,6,5,3,4,7] => 17
[1,2,6,5,3,7,4] => 18
[1,2,6,5,4,3,7] => 22
[1,2,6,5,4,7,3] => 21
[1,2,6,5,7,3,4] => 17
[1,2,6,5,7,4,3] => 22
[1,2,6,7,3,4,5] => 12
[1,2,6,7,3,5,4] => 17
[1,2,6,7,4,3,5] => 17
[1,2,6,7,4,5,3] => 20
[1,2,6,7,5,3,4] => 20
[1,2,6,7,5,4,3] => 25
[1,2,7,3,4,5,6] => 8
[1,2,7,3,4,6,5] => 13
[1,2,7,3,5,4,6] => 13
[1,2,7,3,5,6,4] => 16
[1,2,7,3,6,4,5] => 16
[1,2,7,3,6,5,4] => 21
[1,2,7,4,3,5,6] => 13
[1,2,7,4,3,6,5] => 18
[1,2,7,4,5,3,6] => 16
[1,2,7,4,5,6,3] => 17
[1,2,7,4,6,3,5] => 19
[1,2,7,4,6,5,3] => 22
[1,2,7,5,3,4,6] => 16
[1,2,7,5,3,6,4] => 19
[1,2,7,5,4,3,6] => 21
[1,2,7,5,4,6,3] => 22
[1,2,7,5,6,3,4] => 20
[1,2,7,5,6,4,3] => 25
[1,2,7,6,3,4,5] => 17
[1,2,7,6,3,5,4] => 22
[1,2,7,6,4,3,5] => 22
[1,2,7,6,4,5,3] => 25
[1,2,7,6,5,3,4] => 25
[1,2,7,6,5,4,3] => 30
[1,3,2,4,5,6,7] => 5
[1,3,2,4,5,7,6] => 10
[1,3,2,4,6,5,7] => 10
[1,3,2,4,6,7,5] => 13
[1,3,2,4,7,5,6] => 13
[1,3,2,4,7,6,5] => 18
[1,3,2,5,4,6,7] => 10
[1,3,2,5,4,7,6] => 15
[1,3,2,5,6,4,7] => 13
[1,3,2,5,6,7,4] => 14
[1,3,2,5,7,4,6] => 16
[1,3,2,5,7,6,4] => 19
[1,3,2,6,4,5,7] => 13
[1,3,2,6,4,7,5] => 16
[1,3,2,6,5,4,7] => 18
[1,3,2,6,5,7,4] => 19
[1,3,2,6,7,4,5] => 17
[1,3,2,6,7,5,4] => 22
[1,3,2,7,4,5,6] => 14
[1,3,2,7,4,6,5] => 19
[1,3,2,7,5,4,6] => 19
[1,3,2,7,5,6,4] => 22
[1,3,2,7,6,4,5] => 22
[1,3,2,7,6,5,4] => 27
[1,3,4,2,5,6,7] => 8
[1,3,4,2,5,7,6] => 13
[1,3,4,2,6,5,7] => 13
[1,3,4,2,6,7,5] => 16
[1,3,4,2,7,5,6] => 16
[1,3,4,2,7,6,5] => 21
[1,3,4,5,2,6,7] => 9
[1,3,4,5,2,7,6] => 14
[1,3,4,5,6,2,7] => 8
[1,3,4,5,6,7,2] => 5
[1,3,4,5,7,2,6] => 11
[1,3,4,5,7,6,2] => 10
[1,3,4,6,2,5,7] => 12
[1,3,4,6,2,7,5] => 15
[1,3,4,6,5,2,7] => 13
[1,3,4,6,5,7,2] => 10
[1,3,4,6,7,2,5] => 12
[1,3,4,6,7,5,2] => 13
[1,3,4,7,2,5,6] => 13
[1,3,4,7,2,6,5] => 18
[1,3,4,7,5,2,6] => 14
[1,3,4,7,5,6,2] => 13
[1,3,4,7,6,2,5] => 17
[1,3,4,7,6,5,2] => 18
[1,3,5,2,4,6,7] => 11
[1,3,5,2,4,7,6] => 16
[1,3,5,2,6,4,7] => 14
[1,3,5,2,6,7,4] => 15
[1,3,5,2,7,4,6] => 17
[1,3,5,2,7,6,4] => 20
[1,3,5,4,2,6,7] => 14
[1,3,5,4,2,7,6] => 19
[1,3,5,4,6,2,7] => 13
[1,3,5,4,6,7,2] => 10
[1,3,5,4,7,2,6] => 16
[1,3,5,4,7,6,2] => 15
[1,3,5,6,2,4,7] => 13
[1,3,5,6,2,7,4] => 14
[1,3,5,6,4,2,7] => 16
[1,3,5,6,4,7,2] => 13
[1,3,5,6,7,2,4] => 11
[1,3,5,6,7,4,2] => 14
[1,3,5,7,2,4,6] => 14
[1,3,5,7,2,6,4] => 17
[1,3,5,7,4,2,6] => 17
[1,3,5,7,4,6,2] => 16
[1,3,5,7,6,2,4] => 16
[1,3,5,7,6,4,2] => 19
[1,3,6,2,4,5,7] => 12
[1,3,6,2,4,7,5] => 15
[1,3,6,2,5,4,7] => 17
[1,3,6,2,5,7,4] => 18
[1,3,6,2,7,4,5] => 16
[1,3,6,2,7,5,4] => 21
[1,3,6,4,2,5,7] => 15
[1,3,6,4,2,7,5] => 18
[1,3,6,4,5,2,7] => 16
[1,3,6,4,5,7,2] => 13
[1,3,6,4,7,2,5] => 15
[1,3,6,4,7,5,2] => 16
[1,3,6,5,2,4,7] => 18
[1,3,6,5,2,7,4] => 19
[1,3,6,5,4,2,7] => 21
[1,3,6,5,4,7,2] => 18
[1,3,6,5,7,2,4] => 16
[1,3,6,5,7,4,2] => 19
[1,3,6,7,2,4,5] => 13
[1,3,6,7,2,5,4] => 18
[1,3,6,7,4,2,5] => 16
[1,3,6,7,4,5,2] => 17
[1,3,6,7,5,2,4] => 19
[1,3,6,7,5,4,2] => 22
[1,3,7,2,4,5,6] => 11
[1,3,7,2,4,6,5] => 16
[1,3,7,2,5,4,6] => 16
[1,3,7,2,5,6,4] => 19
[1,3,7,2,6,4,5] => 19
[1,3,7,2,6,5,4] => 24
[1,3,7,4,2,5,6] => 14
[1,3,7,4,2,6,5] => 19
[1,3,7,4,5,2,6] => 15
[1,3,7,4,5,6,2] => 14
[1,3,7,4,6,2,5] => 18
[1,3,7,4,6,5,2] => 19
[1,3,7,5,2,4,6] => 17
[1,3,7,5,2,6,4] => 20
[1,3,7,5,4,2,6] => 20
[1,3,7,5,4,6,2] => 19
[1,3,7,5,6,2,4] => 19
[1,3,7,5,6,4,2] => 22
[1,3,7,6,2,4,5] => 18
[1,3,7,6,2,5,4] => 23
[1,3,7,6,4,2,5] => 21
[1,3,7,6,4,5,2] => 22
[1,3,7,6,5,2,4] => 24
[1,3,7,6,5,4,2] => 27
[1,4,2,3,5,6,7] => 8
[1,4,2,3,5,7,6] => 13
[1,4,2,3,6,5,7] => 13
[1,4,2,3,6,7,5] => 16
[1,4,2,3,7,5,6] => 16
[1,4,2,3,7,6,5] => 21
[1,4,2,5,3,6,7] => 11
[1,4,2,5,3,7,6] => 16
[1,4,2,5,6,3,7] => 12
[1,4,2,5,6,7,3] => 11
[1,4,2,5,7,3,6] => 15
[1,4,2,5,7,6,3] => 16
[1,4,2,6,3,5,7] => 14
[1,4,2,6,3,7,5] => 17
[1,4,2,6,5,3,7] => 17
[1,4,2,6,5,7,3] => 16
[1,4,2,6,7,3,5] => 16
[1,4,2,6,7,5,3] => 19
[1,4,2,7,3,5,6] => 15
[1,4,2,7,3,6,5] => 20
[1,4,2,7,5,3,6] => 18
[1,4,2,7,5,6,3] => 19
[1,4,2,7,6,3,5] => 21
[1,4,2,7,6,5,3] => 24
[1,4,3,2,5,6,7] => 13
[1,4,3,2,5,7,6] => 18
[1,4,3,2,6,5,7] => 18
[1,4,3,2,6,7,5] => 21
[1,4,3,2,7,5,6] => 21
[1,4,3,2,7,6,5] => 26
[1,4,3,5,2,6,7] => 14
[1,4,3,5,2,7,6] => 19
[1,4,3,5,6,2,7] => 13
[1,4,3,5,6,7,2] => 10
[1,4,3,5,7,2,6] => 16
[1,4,3,5,7,6,2] => 15
[1,4,3,6,2,5,7] => 17
[1,4,3,6,2,7,5] => 20
[1,4,3,6,5,2,7] => 18
[1,4,3,6,5,7,2] => 15
[1,4,3,6,7,2,5] => 17
[1,4,3,6,7,5,2] => 18
[1,4,3,7,2,5,6] => 18
[1,4,3,7,2,6,5] => 23
[1,4,3,7,5,2,6] => 19
[1,4,3,7,5,6,2] => 18
[1,4,3,7,6,2,5] => 22
[1,4,3,7,6,5,2] => 23
[1,4,5,2,3,6,7] => 12
[1,4,5,2,3,7,6] => 17
[1,4,5,2,6,3,7] => 13
[1,4,5,2,6,7,3] => 12
[1,4,5,2,7,3,6] => 16
[1,4,5,2,7,6,3] => 17
[1,4,5,3,2,6,7] => 17
[1,4,5,3,2,7,6] => 22
[1,4,5,3,6,2,7] => 16
[1,4,5,3,6,7,2] => 13
[1,4,5,3,7,2,6] => 19
[1,4,5,3,7,6,2] => 18
[1,4,5,6,2,3,7] => 12
[1,4,5,6,2,7,3] => 11
[1,4,5,6,3,2,7] => 17
[1,4,5,6,3,7,2] => 14
[1,4,5,6,7,2,3] => 8
[1,4,5,6,7,3,2] => 13
[1,4,5,7,2,3,6] => 13
[1,4,5,7,2,6,3] => 14
[1,4,5,7,3,2,6] => 18
[1,4,5,7,3,6,2] => 17
[1,4,5,7,6,2,3] => 13
[1,4,5,7,6,3,2] => 18
[1,4,6,2,3,5,7] => 13
[1,4,6,2,3,7,5] => 16
[1,4,6,2,5,3,7] => 16
[1,4,6,2,5,7,3] => 15
[1,4,6,2,7,3,5] => 15
[1,4,6,2,7,5,3] => 18
[1,4,6,3,2,5,7] => 18
[1,4,6,3,2,7,5] => 21
[1,4,6,3,5,2,7] => 19
[1,4,6,3,5,7,2] => 16
[1,4,6,3,7,2,5] => 18
[1,4,6,3,7,5,2] => 19
[1,4,6,5,2,3,7] => 17
[1,4,6,5,2,7,3] => 16
[1,4,6,5,3,2,7] => 22
[1,4,6,5,3,7,2] => 19
[1,4,6,7,2,3,5] => 12
[1,4,6,7,5,3,2] => 21
[1,4,7,2,3,5,6] => 12
[1,4,7,6,5,3,2] => 26
[1,5,2,3,4,7,6] => 14
[1,5,2,7,3,4,6] => 14
[1,5,4,7,6,3,2] => 23
[1,5,6,2,7,3,4] => 12
[1,5,6,4,7,3,2] => 21
[1,5,6,7,2,3,4] => 9
[1,5,6,7,4,3,2] => 22
[1,5,7,2,3,4,6] => 11
[1,5,7,6,4,3,2] => 27
[1,6,2,3,4,7,5] => 11
[1,6,2,3,7,4,5] => 12
[1,6,2,7,3,4,5] => 11
[1,6,5,4,3,7,2] => 27
[1,6,5,4,7,3,2] => 26
[1,6,5,7,4,3,2] => 27
[1,6,7,2,3,4,5] => 8
[1,6,7,5,4,3,2] => 30
[1,7,2,3,4,5,6] => 5
[1,7,3,5,6,4,2] => 21
[1,7,3,6,5,4,2] => 26
[1,7,4,3,6,5,2] => 23
[1,7,4,5,3,6,2] => 21
[1,7,4,5,6,3,2] => 22
[1,7,4,6,5,3,2] => 27
[1,7,5,4,3,6,2] => 26
[1,7,5,4,6,3,2] => 27
[1,7,6,4,5,3,2] => 30
[1,7,6,5,4,3,2] => 35
[2,1,3,4,5,6,7] => 5
[2,1,3,4,7,5,6] => 13
[2,1,3,7,4,5,6] => 14
[2,1,6,3,4,5,7] => 14
[2,1,7,3,4,5,6] => 13
[2,1,7,6,5,4,3] => 35
[2,3,1,4,5,6,7] => 8
[2,3,4,1,5,6,7] => 9
[2,3,4,1,5,7,6] => 14
[2,3,4,5,1,6,7] => 8
[2,3,4,5,1,7,6] => 13
[2,3,4,5,6,1,7] => 5
[2,3,4,5,6,7,1] => 0
[2,3,4,5,7,1,6] => 8
[2,3,4,6,1,7,5] => 14
[2,3,4,6,7,1,5] => 9
[2,3,4,7,1,5,6] => 12
[2,3,5,6,7,1,4] => 8
[2,4,1,3,5,6,7] => 11
[2,5,1,3,4,6,7] => 12
[2,5,7,1,3,4,6] => 12
[2,6,1,3,4,5,7] => 11
[2,6,1,7,3,4,5] => 14
[2,6,5,4,3,1,7] => 27
[2,6,7,1,3,4,5] => 9
[2,7,1,3,4,5,6] => 8
[3,1,2,4,5,6,7] => 8
[3,1,2,4,5,7,6] => 13
[3,2,1,4,5,6,7] => 13
[3,2,4,5,6,7,1] => 5
[3,4,1,2,5,6,7] => 12
[3,4,2,5,6,7,1] => 8
[3,4,5,2,6,7,1] => 9
[3,4,5,6,2,7,1] => 8
[3,4,5,6,7,1,2] => 0
[3,5,6,1,2,4,7] => 12
[3,5,6,4,2,1,7] => 21
[3,6,1,2,4,5,7] => 12
[3,6,5,4,2,1,7] => 26
[4,1,2,3,5,6,7] => 9
[4,1,2,3,5,7,6] => 14
[4,1,6,2,3,5,7] => 14
[4,2,3,5,6,7,1] => 8
[4,2,5,1,3,6,7] => 16
[4,3,2,1,5,6,7] => 22
[4,3,2,5,6,7,1] => 13
[4,3,5,2,6,7,1] => 14
[4,3,6,5,2,1,7] => 23
[4,5,1,6,2,3,7] => 12
[4,5,2,3,6,7,1] => 12
[4,5,3,6,2,1,7] => 21
[4,5,6,1,2,3,7] => 9
[4,5,6,3,2,1,7] => 22
[4,6,1,2,3,5,7] => 11
[4,6,1,2,3,7,5] => 14
[4,6,5,3,2,1,7] => 27
[5,1,2,3,4,6,7] => 8
[5,1,2,3,4,7,6] => 13
[5,1,2,3,6,4,7] => 11
[5,1,2,3,6,7,4] => 12
[5,1,2,3,7,4,6] => 14
[5,1,2,6,3,4,7] => 12
[5,1,6,2,3,4,7] => 11
[5,1,6,2,3,7,4] => 12
[5,2,3,4,6,7,1] => 9
[5,2,6,7,1,3,4] => 9
[5,3,2,4,6,7,1] => 14
[5,3,2,6,1,4,7] => 21
[5,4,3,2,1,6,7] => 30
[5,4,3,2,1,7,6] => 35
[5,4,3,2,6,1,7] => 27
[5,4,3,6,2,1,7] => 26
[5,4,6,3,2,1,7] => 27
[5,6,1,2,3,4,7] => 8
[5,6,1,2,3,7,4] => 9
[5,6,3,4,1,2,7] => 20
[5,6,4,3,2,1,7] => 30
[5,6,7,1,2,3,4] => 0
[6,1,2,3,4,5,7] => 5
[6,1,2,3,4,7,5] => 8
[6,1,2,3,7,4,5] => 9
[6,1,2,7,3,4,5] => 8
[6,2,3,4,5,7,1] => 8
[6,2,4,5,3,1,7] => 21
[6,2,5,4,3,1,7] => 26
[6,3,2,5,4,1,7] => 23
[6,3,4,2,5,1,7] => 21
[6,3,4,5,2,1,7] => 22
[6,3,5,4,2,1,7] => 27
[6,4,3,2,5,1,7] => 26
[6,4,3,2,7,1,5] => 25
[6,4,3,5,2,1,7] => 27
[6,4,7,2,5,1,3] => 15
[6,5,3,4,2,1,7] => 30
[6,5,4,3,2,1,7] => 35
[6,7,1,2,3,4,5] => 0
[6,7,4,5,1,2,3] => 12
[7,1,2,3,4,5,6] => 0
[7,2,1,3,4,5,6] => 5
[7,2,3,1,4,5,6] => 8
[7,2,3,4,1,5,6] => 9
[7,2,3,4,5,1,6] => 8
[7,3,1,2,4,5,6] => 8
[7,3,2,1,4,5,6] => 13
[7,3,2,4,1,5,6] => 14
[7,3,4,1,2,5,6] => 12
[7,4,1,2,3,5,6] => 9
[7,4,2,1,3,5,6] => 14
[7,4,5,6,1,2,3] => 9
[7,5,1,2,3,4,6] => 8
[7,5,6,1,2,3,4] => 8
[7,5,6,3,4,1,2] => 20
[7,6,1,2,3,4,5] => 5
[7,6,4,5,1,2,3] => 17
[7,6,5,1,2,3,4] => 13
[7,6,5,3,4,1,2] => 25
[7,6,5,4,1,2,3] => 22
[7,6,5,4,3,1,2] => 30
[7,6,5,4,3,2,1] => 35
[8,7,6,5,4,3,2,1] => 56
[7,6,8,5,4,3,2,1] => 46
[7,8,5,6,4,3,2,1] => 44
[7,8,6,4,5,3,2,1] => 44
[8,6,7,4,5,3,2,1] => 44
[7,6,5,4,8,3,2,1] => 44
[6,5,7,4,8,3,2,1] => 34
[7,8,6,5,3,4,2,1] => 44
[8,6,7,5,3,4,2,1] => 44
[8,7,5,6,3,4,2,1] => 44
[6,7,8,3,4,5,2,1] => 24
[7,8,6,5,4,2,3,1] => 44
[8,6,7,5,4,2,3,1] => 44
[8,7,5,6,4,2,3,1] => 44
[8,7,6,4,5,2,3,1] => 44
[8,6,5,7,3,2,4,1] => 36
[6,7,8,5,2,3,4,1] => 24
[8,5,6,7,2,3,4,1] => 24
[7,8,3,2,4,5,6,1] => 16
[7,6,5,4,3,2,8,1] => 50
[6,5,7,4,3,2,8,1] => 40
[6,5,4,3,7,2,8,1] => 38
[5,4,6,3,7,2,8,1] => 28
[3,4,5,2,6,7,8,1] => 12
[5,2,3,4,6,7,8,1] => 12
[4,3,2,5,6,7,8,1] => 16
[3,4,2,5,6,7,8,1] => 10
[4,2,3,5,6,7,8,1] => 10
[3,2,4,5,6,7,8,1] => 6
[2,3,4,5,6,7,8,1] => 0
[8,7,6,5,4,3,1,2] => 50
[7,8,6,5,4,3,1,2] => 44
[8,6,7,5,4,3,1,2] => 44
[8,7,5,6,4,3,1,2] => 44
[8,7,6,4,5,3,1,2] => 44
[8,7,6,5,3,4,1,2] => 44
[8,7,5,6,3,4,1,2] => 38
[7,8,5,6,3,4,1,2] => 32
[5,6,7,8,3,4,1,2] => 16
[7,8,3,4,5,6,1,2] => 16
[3,4,5,6,7,8,1,2] => 0
[8,7,6,5,4,2,1,3] => 46
[7,6,8,5,4,2,1,3] => 36
[8,7,6,5,4,1,2,3] => 40
[6,7,8,5,4,1,2,3] => 24
[8,5,6,7,4,1,2,3] => 24
[8,7,6,4,5,1,2,3] => 34
[8,6,7,4,5,1,2,3] => 28
[8,7,4,5,6,1,2,3] => 24
[7,8,4,5,6,1,2,3] => 18
[7,6,5,8,3,2,1,4] => 32
[7,5,6,8,2,3,1,4] => 20
[6,7,5,8,3,1,2,4] => 20
[6,5,7,8,2,1,3,4] => 12
[8,7,6,5,1,2,3,4] => 28
[8,7,5,6,1,2,3,4] => 22
[7,8,5,6,1,2,3,4] => 16
[8,5,6,7,1,2,3,4] => 12
[5,6,7,8,1,2,3,4] => 0
[8,7,6,4,3,2,1,5] => 44
[8,7,6,4,2,1,3,5] => 34
[8,7,6,1,2,3,4,5] => 16
[8,6,7,1,2,3,4,5] => 10
[6,7,8,1,2,3,4,5] => 0
[7,8,5,4,2,1,3,6] => 30
[7,8,5,4,1,2,3,6] => 24
[8,7,1,2,3,4,5,6] => 6
[7,8,1,2,3,4,5,6] => 0
[8,6,5,4,3,2,1,7] => 50
[8,6,5,4,3,1,2,7] => 44
[8,5,6,3,4,1,2,7] => 32
[8,6,5,4,2,1,3,7] => 40
[8,6,4,3,2,1,5,7] => 38
[8,6,4,2,1,3,5,7] => 28
[8,2,3,4,1,5,6,7] => 12
[8,4,1,2,3,5,6,7] => 12
[8,3,2,1,4,5,6,7] => 16
[8,2,3,1,4,5,6,7] => 10
[8,3,1,2,4,5,6,7] => 10
[8,2,1,3,4,5,6,7] => 6
[8,1,2,3,4,5,6,7] => 0
[7,6,5,4,3,2,1,8] => 56
[6,7,5,4,3,2,1,8] => 50
[6,5,7,4,3,2,1,8] => 46
[5,6,7,4,3,2,1,8] => 40
[7,6,4,5,3,2,1,8] => 50
[6,5,4,7,3,2,1,8] => 44
[7,5,6,3,4,2,1,8] => 44
[7,6,4,3,5,2,1,8] => 46
[7,6,3,4,5,2,1,8] => 40
[7,5,4,3,6,2,1,8] => 44
[6,7,5,4,2,3,1,8] => 44
[6,5,7,3,2,4,1,8] => 36
[5,6,7,2,3,4,1,8] => 24
[2,3,4,5,6,7,1,8] => 6
[5,6,7,1,2,3,4,8] => 12
[6,7,1,2,3,4,5,8] => 10
[7,1,2,3,4,5,6,8] => 6
[6,5,4,3,2,1,7,8] => 50
[2,3,4,5,6,1,7,8] => 10
[5,6,3,4,1,2,7,8] => 32
[4,5,6,1,2,3,7,8] => 18
[6,1,2,3,4,5,7,8] => 10
[5,4,3,2,1,6,7,8] => 40
[2,3,4,5,1,6,7,8] => 12
[5,1,2,3,4,6,7,8] => 12
[4,3,2,1,5,6,7,8] => 28
[3,4,1,2,5,6,7,8] => 16
[3,2,1,4,5,6,7,8] => 16
[2,1,3,4,5,6,7,8] => 6
[1,2,3,4,5,6,7,8] => 0
[6,5,8,7,4,3,2,1] => 40
[3,5,8,7,6,4,2,1] => 34
[4,3,6,5,8,7,2,1] => 24
[2,6,8,7,5,4,3,1] => 40
[2,3,5,6,8,7,4,1] => 18
[3,2,6,5,4,8,7,1] => 28
[4,3,6,5,7,2,8,1] => 22
[3,2,6,5,7,4,8,1] => 24
[4,3,5,2,7,6,8,1] => 24
[3,2,5,4,7,6,8,1] => 18
[1,8,7,6,5,4,3,2] => 56
[1,7,8,6,5,4,3,2] => 50
[1,6,8,7,5,4,3,2] => 46
[1,7,6,8,5,4,3,2] => 46
[1,6,7,8,5,4,3,2] => 40
[1,5,8,7,6,4,3,2] => 44
[1,7,6,5,8,4,3,2] => 44
[1,3,5,7,8,6,4,2] => 28
[1,4,3,8,7,6,5,2] => 40
[1,6,5,4,3,8,7,2] => 40
[1,4,3,6,5,8,7,2] => 24
[2,1,8,7,6,5,4,3] => 56
[2,1,6,5,7,4,8,3] => 34
[2,1,5,4,7,6,8,3] => 28
[1,2,6,7,8,5,4,3] => 34
[3,2,1,8,7,6,5,4] => 56
[3,2,1,6,5,8,7,4] => 40
[1,2,3,5,6,7,8,4] => 12
[4,3,2,1,8,7,6,5] => 56
[3,4,2,1,7,8,6,5] => 44
[2,4,3,1,6,8,7,5] => 36
[2,4,3,1,7,6,8,5] => 36
[3,2,4,1,6,8,7,5] => 36
[3,2,4,1,7,6,8,5] => 36
[2,3,4,1,6,7,8,5] => 24
[2,1,4,3,8,7,6,5] => 40
[2,1,4,3,6,8,7,5] => 30
[2,1,4,3,7,6,8,5] => 30
[5,4,3,2,1,8,7,6] => 56
[3,2,5,4,1,8,7,6] => 40
[3,2,1,4,5,8,7,6] => 32
[2,3,1,4,5,7,8,6] => 20
[6,5,4,3,2,1,8,7] => 56
[4,3,5,2,6,1,8,7] => 34
[3,2,5,4,6,1,8,7] => 28
[2,3,4,5,6,1,8,7] => 16
[2,1,6,5,4,3,8,7] => 40
[2,1,4,6,5,3,8,7] => 30
[2,1,5,4,6,3,8,7] => 30
[4,3,2,1,6,5,8,7] => 40
[2,4,3,1,6,5,8,7] => 30
[3,2,4,1,6,5,8,7] => 30
[2,1,4,3,6,5,8,7] => 24
[2,1,3,4,5,6,8,7] => 12
[1,2,3,4,5,6,8,7] => 6
[5,7,6,4,3,2,1,8] => 46
[4,7,6,5,3,2,1,8] => 44
[3,2,7,6,5,4,1,8] => 40
[5,4,3,2,7,6,1,8] => 40
[3,2,5,4,7,6,1,8] => 24
[1,4,3,2,7,6,5,8] => 32
[1,3,4,2,6,7,5,8] => 20
[1,3,2,5,4,7,6,8] => 18
[1,2,3,5,4,7,6,8] => 12
[1,3,2,4,5,7,6,8] => 12
[1,2,3,4,5,7,6,8] => 6
[1,2,4,3,6,5,7,8] => 12
[1,3,2,5,4,6,7,8] => 12
[1,2,3,5,4,6,7,8] => 6
[1,3,2,4,5,6,7,8] => 6
[1,8,4,7,6,5,3,2] => 44
[1,8,5,4,7,6,3,2] => 40
[1,8,7,4,5,6,3,2] => 40
[1,8,7,4,6,5,3,2] => 46
[1,8,6,5,4,7,3,2] => 44
[1,8,7,5,4,6,3,2] => 46
[1,8,7,5,6,4,3,2] => 50
[2,1,4,5,8,6,7,3] => 26
[2,1,8,5,4,7,6,3] => 40
[2,3,4,8,5,6,7,1] => 12
[2,3,6,4,5,1,8,7] => 26
[2,3,7,4,5,6,8,1] => 12
[2,8,4,3,5,7,6,1] => 22
[4,2,3,1,8,6,7,5] => 44
[8,2,7,4,6,5,3,1] => 36
[4,3,2,7,5,6,8,1] => 26
[4,3,2,8,5,7,6,1] => 34
[6,3,2,5,4,1,8,7] => 40
[8,3,2,5,4,7,6,1] => 24
[8,3,2,7,6,5,4,1] => 40
[8,3,7,4,6,5,2,1] => 34
[7,3,6,5,4,2,1,8] => 44
[7,4,3,6,5,2,1,8] => 40
[7,6,3,5,4,2,1,8] => 46
[8,5,4,3,2,7,6,1] => 40
[8,7,4,3,6,5,2,1] => 40
[2,4,6,8,1,3,5,7] => 20
[2,4,6,1,7,3,8,5] => 26
[2,1,4,3,7,5,8,6] => 26
[2,4,1,3,7,5,8,6] => 28
[2,1,4,3,7,8,5,6] => 28
[2,4,7,8,1,3,5,6] => 18
[2,1,4,3,8,5,6,7] => 24
[2,4,5,6,7,1,8,3] => 12
[2,1,5,3,6,4,8,7] => 26
[2,1,5,6,3,4,8,7] => 28
[2,5,6,8,1,3,4,7] => 18
[2,1,5,3,7,4,8,6] => 28
[2,5,1,7,3,4,8,6] => 28
[2,1,5,7,3,8,4,6] => 28
[2,5,7,8,1,3,4,6] => 16
[2,3,5,6,1,7,8,4] => 20
[2,1,6,3,7,4,8,5] => 26
[2,6,7,1,3,4,8,5] => 20
[2,1,6,7,8,3,4,5] => 24
[2,6,7,8,1,3,4,5] => 12
[2,1,6,3,4,7,8,5] => 24
[2,1,6,3,4,5,8,7] => 24
[2,6,1,3,4,5,7,8] => 16
[2,7,8,1,3,4,5,6] => 12
[2,7,1,3,4,5,6,8] => 14
[2,3,4,5,7,8,1,6] => 12
[2,1,8,3,4,5,6,7] => 16
[2,8,1,3,4,5,6,7] => 10
[2,1,3,8,4,5,6,7] => 18
[2,3,4,5,6,8,1,7] => 10
[3,1,4,2,6,5,8,7] => 26
[3,4,1,2,6,5,8,7] => 28
[3,1,4,2,6,8,5,7] => 28
[3,4,6,8,1,2,5,7] => 18
[3,1,4,2,7,5,8,6] => 28
[3,4,1,2,7,8,5,6] => 32
[3,4,7,8,1,2,5,6] => 16
[3,1,5,2,6,4,8,7] => 28
[3,5,1,6,2,4,8,7] => 28
[3,1,5,6,2,8,4,7] => 28
[3,5,6,8,1,2,4,7] => 16
[3,1,5,2,7,4,8,6] => 30
[3,5,1,7,2,8,4,6] => 28
[3,5,7,8,1,2,4,6] => 14
[1,3,2,5,4,8,6,7] => 22
[1,3,5,8,2,4,6,7] => 20
[1,3,5,6,2,7,4,8] => 20
[3,1,6,2,7,4,8,5] => 28
[3,6,7,1,2,8,4,5] => 20
[3,6,1,7,8,2,4,5] => 20
[3,6,7,8,1,2,4,5] => 10
[1,3,2,6,4,7,5,8] => 20
[3,1,2,6,7,4,8,5] => 28
[1,3,2,6,4,8,5,7] => 24
[1,3,2,6,4,5,7,8] => 16
[1,3,2,7,4,8,5,6] => 24
[1,3,2,7,4,5,6,8] => 18
[1,3,2,8,4,5,6,7] => 18
[3,1,2,4,5,8,6,7] => 20
[1,3,2,4,5,8,6,7] => 16
[4,1,5,2,6,3,8,7] => 26
[4,5,6,1,2,3,8,7] => 24
[4,1,5,6,8,2,3,7] => 20
[4,5,6,8,1,2,3,7] => 12
[4,1,5,2,7,3,8,6] => 28
[4,1,5,2,7,8,3,6] => 26
[4,5,7,1,2,8,3,6] => 20
[4,5,1,7,8,2,3,6] => 20
[4,5,7,8,1,2,3,6] => 10
[1,4,2,5,3,7,6,8] => 20
[1,4,2,5,3,8,6,7] => 24
[1,4,2,5,3,6,7,8] => 14
[1,4,5,6,7,2,3,8] => 16
[4,1,6,2,7,3,8,5] => 26
[4,6,7,1,8,2,3,5] => 12
[4,6,7,8,1,2,3,5] => 6
[1,4,2,6,3,7,5,8] => 22
[1,4,2,6,7,8,3,5] => 22
[1,4,2,6,3,8,5,7] => 26
[4,1,2,3,6,5,8,7] => 24
[1,4,2,6,3,5,7,8] => 18
[1,4,2,7,3,8,5,6] => 26
[4,7,1,2,3,5,6,8] => 16
[1,4,2,7,3,5,6,8] => 20
[1,4,2,3,7,5,6,8] => 20
[1,4,2,3,5,7,6,8] => 16
[1,4,2,8,3,5,6,7] => 20
[4,1,2,3,8,5,6,7] => 24
[1,4,2,3,5,8,6,7] => 20
[1,4,2,3,5,6,7,8] => 10
[5,1,6,2,7,3,8,4] => 20
[1,5,2,6,3,7,4,8] => 20
[1,5,2,6,3,8,4,7] => 24
[1,5,2,6,3,4,7,8] => 18
[1,2,5,6,3,4,7,8] => 16
[1,5,2,7,3,8,4,6] => 24
[5,7,1,2,3,4,6,8] => 14
[1,5,2,7,3,4,6,8] => 20
[1,5,2,3,4,7,6,8] => 18
[5,1,2,8,3,4,6,7] => 20
[1,5,2,8,3,4,6,7] => 20
[1,5,8,2,3,4,6,7] => 16
[1,5,2,3,4,8,6,7] => 22
[1,2,3,5,4,8,6,7] => 16
[5,1,2,3,4,6,8,7] => 18
[1,5,2,3,4,6,7,8] => 12
[1,6,2,7,3,8,4,5] => 20
[1,6,7,8,2,3,4,5] => 12
[6,7,1,2,3,4,8,5] => 12
[6,1,7,2,3,4,5,8] => 14
[6,1,2,7,3,4,5,8] => 16
[1,6,2,7,3,4,5,8] => 18
[1,6,7,2,3,4,5,8] => 16
[1,6,2,3,4,7,5,8] => 16
[1,2,3,6,4,7,5,8] => 14
[6,1,8,2,3,4,5,7] => 12
[1,6,2,8,3,4,5,7] => 18
[1,6,8,2,3,4,5,7] => 14
[1,6,2,3,4,8,5,7] => 20
[1,2,3,6,4,8,5,7] => 18
[6,1,2,3,4,5,8,7] => 16
[1,6,2,3,4,5,7,8] => 12
[1,2,3,6,4,5,7,8] => 10
[1,7,2,8,3,4,5,6] => 14
[1,7,8,2,3,4,5,6] => 10
[1,7,2,3,8,4,5,6] => 16
[7,1,2,3,4,8,5,6] => 12
[1,7,2,3,4,8,5,6] => 16
[1,2,3,7,4,8,5,6] => 18
[7,1,2,3,4,5,8,6] => 10
[1,7,2,3,4,5,8,6] => 14
[1,2,7,3,4,5,8,6] => 16
[1,7,2,3,4,5,6,8] => 10
[1,2,3,7,4,5,6,8] => 12
[1,8,2,3,4,5,6,7] => 6
[1,2,3,8,4,5,6,7] => 12
[1,2,3,4,5,8,6,7] => 10
[5,3,2,6,1,4,8,7] => 36
[7,3,2,5,4,8,1,6] => 28
[8,4,5,2,3,7,6,1] => 28
[7,4,5,2,3,8,1,6] => 32
[6,4,5,2,3,1,8,7] => 44
[5,4,6,2,1,3,8,7] => 36
[3,6,1,5,4,2,8,7] => 36
[4,6,5,1,3,2,8,7] => 36
[5,6,4,3,1,2,8,7] => 44
[7,5,4,3,2,8,1,6] => 44
[8,6,4,3,7,2,5,1] => 36
[7,6,4,3,8,2,1,5] => 36
[6,7,4,3,8,1,2,5] => 24
[5,7,4,3,1,8,2,6] => 36
[4,7,5,1,3,8,2,6] => 28
[3,7,1,5,4,8,2,6] => 28
[2,1,7,5,4,8,3,6] => 36
[3,8,1,5,4,7,6,2] => 28
[4,8,5,1,3,7,6,2] => 28
[5,8,4,3,1,7,6,2] => 36
[6,8,4,3,7,1,5,2] => 28
[7,8,4,3,6,5,1,2] => 28
[6,8,5,7,3,1,4,2] => 28
[5,8,6,7,1,3,4,2] => 20
[4,8,6,1,7,3,5,2] => 28
[3,8,1,6,7,4,5,2] => 32
[2,1,8,6,7,4,5,3] => 44
[2,1,7,6,8,4,3,5] => 36
[3,7,1,6,8,4,2,5] => 28
[4,7,6,1,8,3,2,5] => 24
[5,7,6,8,1,3,2,4] => 12
[5,4,7,2,1,8,3,6] => 32
[6,4,7,2,8,1,3,5] => 20
[7,4,6,2,8,3,1,5] => 28
[8,4,6,2,7,3,5,1] => 28
[8,3,2,6,7,4,5,1] => 28
[7,3,2,6,8,4,1,5] => 28
[6,3,2,7,8,1,4,5] => 24
[5,3,2,7,1,8,4,6] => 36
[4,3,2,1,7,8,5,6] => 44
[3,4,1,2,8,7,6,5] => 44
[5,3,2,8,1,7,6,4] => 44
[6,3,2,8,7,1,5,4] => 36
[7,3,2,8,6,5,1,4] => 36
[8,4,7,2,6,5,3,1] => 36
[7,4,8,2,6,5,1,3] => 28
[6,4,8,2,7,1,5,3] => 28
[5,4,8,2,1,7,6,3] => 36
[4,5,8,1,2,7,6,3] => 24
[3,5,1,8,2,7,6,4] => 36
[2,1,5,8,3,7,6,4] => 36
[2,1,6,8,7,3,5,4] => 36
[3,6,1,8,7,2,5,4] => 32
[4,6,8,1,7,2,5,3] => 20
[5,6,8,7,1,2,4,3] => 12
[6,5,8,7,2,1,4,3] => 24
[7,5,8,6,2,4,1,3] => 28
[8,5,7,6,2,4,3,1] => 36
[5,7,8,6,1,4,2,3] => 20
[4,7,8,1,6,5,2,3] => 24
[3,7,1,8,6,5,2,4] => 36
[2,1,7,8,6,5,3,4] => 44
[3,8,1,7,6,5,4,2] => 44
[4,8,7,1,6,5,3,2] => 36
[5,8,7,6,1,4,3,2] => 32
[6,8,7,5,4,1,3,2] => 36
[4,2,5,1,3,6,7,8] => 22
[5,2,6,7,1,3,4,8] => 20
[3,2,7,8,1,4,5,6] => 24
[5,3,2,6,1,4,7,8] => 30
[7,4,3,8,1,2,5,6] => 24
[4,7,3,6,8,1,2,5] => 22
[6,7,3,4,8,1,2,5] => 18
[5,4,2,7,8,1,3,6] => 28
[6,4,7,2,5,1,3,8] => 30
[6,4,3,2,7,1,5,8] => 38
[5,4,3,2,8,1,6,7] => 44
[7,5,3,8,2,6,1,4] => 30
[8,5,4,7,2,6,1,3] => 30
[8,5,4,7,3,6,1,2] => 32
[7,5,3,1,8,6,4,2] => 36
[8,7,1,3,6,2,4,5] => 22
[5,4,1,3,8,2,6,7] => 36
[4,8,5,7,1,6,2,3] => 20
[8,7,6,5,1,4,2,3] => 38
[3,2,1,5,8,4,6,7] => 32
[1,8,2,7,3,6,4,5] => 28
[2,5,3,4,1,8,6,7] => 32
[2,4,8,3,5,7,6,1] => 22
[8,7,2,6,3,5,4,1] => 34
[5,4,3,2,1,8,6,7] => 50
[3,8,4,7,6,5,2,1] => 34
[3,6,7,4,5,8,1,2] => 16
[7,8,1,4,5,2,3,6] => 16
[1,6,7,4,5,2,3,8] => 32
[8,5,7,4,2,1,6,3] => 34
[8,6,3,5,2,4,1,7] => 36
[8,3,7,5,2,4,6,1] => 30
[8,7,6,3,5,2,4,1] => 42
[8,5,7,4,3,2,6,1] => 40
[8,4,7,6,3,5,2,1] => 40
[6,5,8,4,2,7,3,1] => 34
[7,5,3,6,4,2,8,1] => 36
[8,5,3,6,2,7,4,1] => 30
[8,6,4,7,5,3,2,1] => 42
[8,6,5,4,2,7,3,1] => 40
[8,7,5,2,6,4,3,1] => 40
[2,1,8,7,4,3,6,5] => 40
[6,5,2,1,4,3,8,7] => 40
[8,5,2,7,4,1,6,3] => 32
[8,7,2,1,4,5,6,3] => 24
[8,7,2,3,4,1,6,5] => 24
[8,1,6,3,2,5,4,7] => 24
[1,2,3,8,4,7,5,6] => 22
[1,8,2,3,4,7,5,6] => 16
[1,6,2,5,3,4,7,8] => 22
[1,8,2,5,3,4,6,7] => 16
[1,8,2,7,3,4,5,6] => 18
[8,7,2,1,4,3,6,5] => 24
[8,2,1,5,4,3,7,6] => 28
[8,7,6,5,2,1,4,3] => 40
[8,7,6,3,2,5,4,1] => 40
[8,5,4,7,6,3,2,1] => 40
[5,4,3,8,7,6,1,2] => 32
[8,1,2,4,5,6,3,7] => 12
[1,8,2,6,3,5,4,7] => 24
[1,7,2,6,3,5,4,8] => 28
[1,7,2,6,3,4,5,8] => 22
[8,7,6,1,4,3,2,5] => 32
[7,1,8,6,5,4,3,2] => 46
[1,8,7,6,5,4,2,3] => 50
[3,2,1,4,8,5,6,7] => 28
[1,8,2,3,4,6,5,7] => 12
[1,6,2,7,3,5,4,8] => 24
[1,6,2,5,3,7,4,8] => 24
[1,5,3,7,2,6,4,8] => 28
[2,8,4,1,6,3,7,5] => 30
[5,3,6,4,7,1,8,2] => 20
[8,1,6,7,5,4,3,2] => 44
[8,1,6,7,4,5,2,3] => 32
[1,8,2,7,3,5,4,6] => 24
[1,7,2,8,3,5,4,6] => 20
[5,4,3,2,7,1,8,6] => 46
[3,5,2,7,1,8,6,4] => 36
[2,6,7,3,1,4,8,5] => 24
[5,4,1,8,7,2,3,6] => 32
[8,4,3,1,7,6,2,5] => 36
[5,7,4,3,2,1,8,6] => 46
[3,2,6,1,4,7,8,5] => 30
[3,6,7,2,1,8,5,4] => 32
[1,7,6,5,4,8,2,3] => 38
[1,5,4,2,8,3,6,7] => 30
[6,7,2,3,4,8,5,1] => 18
[4,6,2,5,8,3,7,1] => 26
[4,3,5,2,7,1,8,6] => 36
[3,2,6,1,7,4,8,5] => 32
[1,7,2,5,3,4,6,8] => 20
[1,6,2,4,3,5,7,8] => 18
[1,5,2,4,3,6,7,8] => 18
[1,6,2,4,3,7,5,8] => 22
[8,1,2,5,6,7,4,3] => 24
[7,8,3,2,1,6,5,4] => 32
[1,2,3,8,4,6,5,7] => 18
[8,7,1,6,4,5,3,2] => 40
[8,7,6,1,5,3,4,2] => 38
[4,8,7,5,6,3,2,1] => 38
[4,3,7,6,2,1,8,5] => 38
[4,7,6,3,2,8,1,5] => 34
[7,1,6,5,8,3,2,4] => 30
[7,1,6,5,4,8,2,3] => 34
[5,1,7,3,8,4,6,2] => 28
[4,3,6,2,7,1,8,5] => 34
[8,7,5,4,1,3,2,6] => 36
[6,4,3,8,2,1,5,7] => 36
[5,3,8,7,6,4,2,1] => 38
[8,4,7,6,5,1,3,2] => 34
[2,3,8,7,4,5,6,1] => 24
[7,6,5,3,2,1,8,4] => 44
[1,7,2,8,3,6,4,5] => 24
[1,5,2,8,3,7,4,6] => 28
[3,2,4,1,7,5,8,6] => 32
[4,3,6,1,7,2,8,5] => 30
[3,7,5,6,8,4,2,1] => 28
[5,4,6,3,7,1,8,2] => 24
[1,2,8,7,4,5,6,3] => 34
[2,8,6,3,7,4,5,1] => 28
[5,4,6,1,7,3,8,2] => 24
[1,8,2,6,3,4,5,7] => 18
[6,3,8,4,2,5,7,1] => 26
[8,7,1,6,2,5,4,3] => 34
[8,2,7,6,3,5,4,1] => 36
[1,2,3,7,4,6,5,8] => 18
[4,5,2,3,8,1,6,7] => 32
[8,1,7,6,5,4,2,3] => 44
[1,8,6,7,5,4,3,2] => 50
[6,2,8,7,5,4,3,1] => 40
[7,1,3,5,8,2,4,6] => 20
[4,6,2,7,3,5,1,8] => 28
[1,5,7,3,8,4,6,2] => 28
[8,1,7,6,5,2,4,3] => 40
[1,3,2,8,4,7,5,6] => 28
[5,2,3,8,1,6,7,4] => 32
[1,8,2,4,3,5,6,7] => 12
[2,4,1,8,7,6,5,3] => 46
[1,8,5,4,3,2,6,7] => 34
[8,2,6,1,7,3,5,4] => 28
[7,1,8,6,5,3,2,4] => 36
[1,7,2,5,3,6,4,8] => 24
[1,8,2,6,3,7,4,5] => 24
[5,1,2,4,8,3,6,7] => 26
[1,6,2,8,3,7,4,5] => 24
[2,8,7,6,5,3,4,1] => 44
[2,1,8,4,7,5,6,3] => 38
[5,7,3,8,4,6,2,1] => 28
[8,7,3,5,1,6,2,4] => 28
[6,4,8,1,7,2,3,5] => 20
[6,1,7,2,8,5,4,3] => 30
[7,1,2,8,3,5,4,6] => 16
[1,6,2,5,8,3,4,7] => 26
[8,1,7,5,6,4,3,2] => 44
[1,7,2,8,4,5,3,6] => 24
[1,7,3,4,2,5,8,6] => 24
[8,2,5,1,3,6,4,7] => 20
[7,1,2,8,5,3,4,6] => 20
[5,2,6,3,7,4,8,1] => 20
[1,6,2,8,3,5,4,7] => 24
[8,1,5,3,2,4,6,7] => 18
[7,8,5,6,2,1,4,3] => 28
[7,8,4,2,6,1,5,3] => 28
[8,6,1,3,4,2,5,7] => 20
[8,3,1,5,6,2,4,7] => 22
[6,5,8,7,3,4,1,2] => 28
[6,4,8,3,7,5,1,2] => 28
[3,6,4,5,7,2,8,1] => 20
[5,2,4,7,3,6,8,1] => 24
[4,2,5,1,6,3,8,7] => 30
[5,4,3,6,1,2,8,7] => 38
[4,5,2,3,7,6,1,8] => 28
[4,1,2,6,5,8,7,3] => 28
[5,1,6,2,4,8,7,3] => 28
[7,6,2,1,8,5,4,3] => 38
[2,7,6,8,5,4,1,3] => 36
[8,7,1,6,5,3,2,4] => 36
[2,8,1,3,4,5,7,6] => 16
[3,1,8,2,4,7,6,5] => 34
[5,4,8,1,7,2,6,3] => 28
[5,4,6,2,7,1,8,3] => 24
[1,7,6,8,5,4,2,3] => 40
[6,8,5,4,2,1,3,7] => 36
[1,7,2,6,3,8,4,5] => 24
[8,5,7,3,2,1,6,4] => 34
[4,2,5,3,7,6,8,1] => 20
[3,2,6,4,7,5,8,1] => 20
[4,2,6,3,7,5,8,1] => 22
[2,7,6,5,3,4,8,1] => 34
[5,8,6,7,4,3,2,1] => 38
[4,2,5,1,7,6,8,3] => 28
[4,2,6,1,7,3,8,5] => 30
[4,3,1,2,8,7,5,6] => 44
[4,1,5,2,7,6,8,3] => 24
[4,1,6,2,7,5,8,3] => 26
[1,7,2,4,3,5,6,8] => 16
[6,2,8,4,5,1,7,3] => 28
[8,1,4,2,6,3,5,7] => 18
[4,3,5,1,6,2,8,7] => 30
[3,1,5,4,7,6,8,2] => 22
[4,1,5,3,7,6,8,2] => 24
[4,1,6,3,7,5,8,2] => 26
[8,3,6,1,4,7,2,5] => 24
[1,7,2,3,4,6,5,8] => 16
[6,3,7,1,4,8,2,5] => 22
[2,1,7,5,6,8,3,4] => 32
[2,1,5,3,8,7,6,4] => 38
[1,6,7,8,3,4,5,2] => 24
[1,8,4,2,5,3,6,7] => 20
[3,1,6,5,4,2,8,7] => 38
[5,6,1,2,3,8,7,4] => 24
[1,3,2,7,4,6,5,8] => 24
[1,2,7,6,8,3,4,5] => 24
[8,7,1,5,6,4,3,2] => 40
[3,8,7,6,4,5,2,1] => 40
[4,8,2,3,5,1,6,7] => 22
[5,1,6,4,7,3,8,2] => 28
[6,1,8,7,2,5,4,3] => 32
[1,8,2,5,3,7,4,6] => 24
[2,6,8,4,3,7,5,1] => 28
[4,2,6,8,7,3,5,1] => 28
[8,5,1,3,7,2,6,4] => 28
[8,3,1,2,4,7,5,6] => 20
[1,8,2,4,3,7,5,6] => 22
[1,8,2,4,3,6,5,7] => 18
[4,7,2,5,8,3,6,1] => 24
[5,4,6,2,7,3,8,1] => 24
[6,1,8,3,2,5,4,7] => 24
[1,7,2,5,3,8,4,6] => 24
[8,4,1,5,7,2,6,3] => 24
[8,7,6,3,5,1,4,2] => 38
[3,4,8,5,6,7,2,1] => 18
[2,7,8,4,5,3,6,1] => 26
[3,1,6,5,7,4,8,2] => 28
[4,1,2,8,7,6,5,3] => 44
[5,8,1,2,7,6,3,4] => 24
[5,3,1,8,2,7,4,6] => 36
[4,1,2,3,6,8,7,5] => 30
[7,5,1,3,8,2,6,4] => 28
[3,6,8,5,7,2,4,1] => 28
[8,2,1,7,3,5,6,4] => 28
[2,8,4,1,6,7,5,3] => 34
[3,6,8,7,1,5,4,2] => 28
[8,3,6,7,2,1,5,4] => 30
[4,6,8,2,1,7,5,3] => 28
[3,7,6,8,4,5,2,1] => 30
[2,7,6,8,5,3,4,1] => 34
[2,4,8,6,7,3,5,1] => 28
[6,8,2,4,3,5,1,7] => 24
[7,5,2,8,3,4,6,1] => 24
[5,6,2,8,4,3,1,7] => 32
[5,7,8,6,3,4,1,2] => 26
[4,1,6,5,7,3,8,2] => 26
[3,2,5,1,7,6,8,4] => 34
[3,2,6,1,7,5,8,4] => 36
[4,2,6,1,7,5,8,3] => 30
[5,1,8,2,7,6,4,3] => 36
[6,4,3,1,2,8,7,5] => 44
[7,4,3,1,8,2,6,5] => 36
[3,2,8,1,7,6,4,5] => 44
[3,2,8,7,1,5,4,6] => 36
[4,8,2,7,1,5,3,6] => 28
[1,4,2,8,3,7,5,6] => 30
[1,6,2,4,3,8,5,7] => 26
[6,3,8,2,1,7,5,4] => 36
[7,5,1,3,8,4,2,6] => 28
[8,1,6,2,7,4,5,3] => 28
[6,8,1,7,2,5,3,4] => 20
[4,2,1,3,8,5,7,6] => 36
[3,2,5,1,6,4,8,7] => 32
[5,8,7,2,1,4,3,6] => 24
[3,2,8,6,5,1,4,7] => 36
[6,1,5,8,7,4,2,3] => 32
[3,8,6,7,1,5,2,4] => 28
[3,2,6,1,4,8,7,5] => 36
[5,7,2,8,4,3,6,1] => 26
[3,7,4,1,8,5,2,6] => 26
[5,2,6,1,7,3,8,4] => 24
[7,8,1,3,2,5,4,6] => 12
[6,1,2,8,4,3,5,7] => 22
[3,2,5,1,7,4,8,6] => 34
[5,4,6,1,7,2,8,3] => 20
[1,6,8,5,3,7,4,2] => 36
[8,6,1,7,4,2,5,3] => 28
[3,2,8,5,7,4,6,1] => 32
[3,6,5,8,7,4,1,2] => 24
[4,3,6,1,5,8,2,7] => 30
[1,3,6,7,5,8,2,4] => 24
[3,8,1,5,2,4,6,7] => 20
[3,7,8,1,5,2,4,6] => 20
[1,2,7,5,8,3,4,6] => 24
[6,7,1,4,2,8,3,5] => 20
[1,6,7,2,8,4,3,5] => 22
[5,4,2,8,7,1,6,3] => 36
[4,7,2,1,3,5,8,6] => 26
[5,2,7,1,3,8,4,6] => 26
[5,3,1,7,8,2,4,6] => 28
[4,3,5,2,1,8,6,7] => 40
[5,6,2,1,4,8,3,7] => 32
[4,1,3,2,8,5,6,7] => 30
[2,6,1,4,5,8,3,7] => 30
[2,1,7,6,5,8,3,4] => 38
[5,7,3,6,1,8,2,4] => 22
[6,4,3,5,8,1,7,2] => 28
[2,7,6,4,5,8,1,3] => 28
[7,3,5,4,8,6,1,2] => 22
[3,2,5,4,8,1,6,7] => 28
[3,2,6,7,4,5,1,8] => 28
[3,2,6,8,4,1,5,7] => 28
[4,6,2,8,3,1,5,7] => 28
[4,7,2,8,1,3,5,6] => 20
[5,6,8,2,3,1,4,7] => 20
[5,7,8,2,1,3,4,6] => 12
[1,4,3,7,8,5,6,2] => 28
[1,5,6,3,4,8,7,2] => 28
[4,1,2,7,8,5,6,3] => 32
[5,1,7,2,8,4,6,3] => 28
[6,1,7,8,2,4,5,3] => 20
[5,7,1,2,8,3,6,4] => 20
[6,7,1,8,2,3,5,4] => 12
[1,8,6,5,3,7,4,2] => 40
[5,8,7,3,2,6,1,4] => 30
[2,5,3,7,1,6,8,4] => 28
[2,6,1,3,5,4,8,7] => 28
[1,5,2,4,3,7,6,8] => 24
[1,3,2,8,4,6,5,7] => 24
[1,7,2,4,3,6,5,8] => 22
[2,8,3,1,5,4,6,7] => 20
[2,5,3,4,7,1,8,6] => 28
[4,2,5,3,7,1,8,6] => 32
[4,2,5,3,1,8,6,7] => 36
[4,2,1,8,5,3,6,7] => 32
[5,1,4,8,3,2,6,7] => 32
[1,5,8,4,3,2,6,7] => 32
[4,3,6,2,8,7,5,1] => 34
[6,4,3,1,7,2,8,5] => 36
[1,7,4,3,8,5,2,6] => 30
[1,5,7,3,8,4,2,6] => 28
[5,1,4,7,8,3,2,6] => 30
[5,4,7,1,3,8,2,6] => 30
[4,8,1,5,7,3,6,2] => 28
[8,1,5,3,7,4,6,2] => 28
[1,4,3,8,7,5,6,2] => 34
[4,3,1,8,6,7,5,2] => 40
[4,3,7,1,8,6,5,2] => 36
[6,8,1,7,4,3,5,2] => 28
[6,4,8,1,7,3,5,2] => 28
[6,4,8,7,1,5,2,3] => 22
[7,6,4,1,3,8,2,5] => 32
[7,6,1,4,8,3,2,5] => 28
[7,1,6,8,4,3,2,5] => 30
[1,7,5,6,3,2,8,4] => 34
[6,1,7,5,3,2,8,4] => 32
[6,5,3,2,8,7,4,1] => 38
[5,2,6,3,8,7,4,1] => 26
[5,2,7,6,3,1,8,4] => 30
[6,5,2,1,7,3,8,4] => 30
[4,2,1,7,8,5,3,6] => 36
[2,7,4,6,3,1,8,5] => 34
[6,2,4,8,3,7,5,1] => 28
[7,2,6,3,4,1,8,5] => 30
[2,7,1,8,3,5,4,6] => 24
[2,1,7,3,5,8,4,6] => 28
[8,1,2,7,6,3,4,5] => 24
[7,8,2,6,3,1,5,4] => 26
[2,7,8,4,1,6,5,3] => 32
[2,8,1,7,5,6,3,4] => 38
[8,3,7,1,5,6,2,4] => 28
[8,6,1,2,7,5,3,4] => 26
[1,8,5,2,6,7,4,3] => 32
[5,2,1,8,6,7,4,3] => 40
[5,2,7,1,8,6,4,3] => 36
[2,8,5,7,6,4,3,1] => 40
[1,7,8,5,2,6,4,3] => 34
[7,8,1,6,4,2,5,3] => 26
[7,8,6,1,5,3,2,4] => 28
[7,3,8,6,1,5,2,4] => 28
[2,7,6,8,1,4,3,5] => 24
[8,2,5,7,6,4,3,1] => 36
[6,5,8,7,1,2,3,4] => 12
[4,1,5,3,7,2,8,6] => 32
[7,5,8,4,3,6,2,1] => 36
[4,7,3,2,1,5,8,6] => 36
[5,6,7,8,2,1,4,3] => 12
[8,5,6,7,1,3,2,4] => 18
[5,8,6,2,4,1,3,7] => 28
[5,1,6,2,7,4,8,3] => 24
[8,3,5,2,1,6,4,7] => 28
[5,7,3,8,1,4,6,2] => 22
[6,8,1,4,7,2,5,3] => 22
[3,2,1,7,8,5,6,4] => 44
[4,7,3,5,8,6,2,1] => 26
[4,3,6,5,7,1,8,2] => 18
[8,4,2,1,7,3,6,5] => 34
[3,7,5,1,4,2,8,6] => 32
[1,8,6,3,7,5,2,4] => 36
[6,2,8,1,3,4,7,5] => 20
[4,8,2,1,7,6,3,5] => 36
[2,7,4,8,1,6,5,3] => 32
[3,8,2,1,4,6,5,7] => 24
[1,4,2,8,3,6,5,7] => 26
[4,7,2,8,1,5,3,6] => 24
[5,2,1,8,3,4,7,6] => 32
[4,1,3,2,8,6,5,7] => 36
[3,1,6,7,5,8,2,4] => 28
[2,4,5,7,3,1,8,6] => 28
[4,6,8,3,2,7,5,1] => 30
[1,4,6,7,3,2,8,5] => 28
[1,7,4,8,6,3,5,2] => 36
[3,7,6,5,8,2,1,4] => 28
[2,3,5,7,6,8,1,4] => 16
[2,1,6,5,7,8,3,4] => 28
[2,1,7,8,5,6,4,3] => 44
[2,5,4,7,6,1,8,3] => 24
[3,2,5,6,1,8,7,4] => 32
[6,3,1,5,2,4,8,7] => 34
[1,3,7,4,6,8,2,5] => 24
[8,1,6,5,7,2,4,3] => 30
[7,8,1,6,2,4,5,3] => 22
[1,7,2,8,5,3,4,6] => 24
[7,6,1,8,4,3,2,5] => 28
[8,1,2,7,3,4,6,5] => 18
[1,3,8,7,5,6,2,4] => 36
[1,2,8,7,6,3,4,5] => 34
[6,3,7,5,2,8,4,1] => 30
[8,5,7,3,1,4,2,6] => 28
[2,5,7,3,8,6,4,1] => 26
[2,8,6,3,1,5,7,4] => 32
[4,8,1,2,7,6,3,5] => 30
[4,1,2,8,7,5,6,3] => 38
[8,4,2,1,7,5,3,6] => 32
[8,3,4,1,6,7,2,5] => 24
[3,1,4,8,6,5,7,2] => 28
[3,4,8,1,7,2,5,6] => 26
[2,3,8,1,4,6,7,5] => 26
[4,3,6,2,7,5,8,1] => 26
[5,3,6,4,7,2,8,1] => 24
[5,3,6,1,7,4,8,2] => 24
[5,3,6,1,7,2,8,4] => 24
[5,3,6,2,7,1,8,4] => 28
[5,3,6,2,7,4,8,1] => 24
[5,2,6,3,7,1,8,4] => 24
[5,2,6,4,7,1,8,3] => 24
[1,7,5,4,8,3,6,2] => 36
[8,1,5,4,7,6,2,3] => 28
[1,8,6,7,4,5,3,2] => 44
[7,1,6,8,4,2,5,3] => 28
[7,8,6,1,4,2,3,5] => 20
[1,7,6,8,4,3,5,2] => 36
[8,6,7,1,3,4,2,5] => 20
[7,6,8,1,3,2,4,5] => 12
[7,5,8,3,1,2,4,6] => 20
[8,6,1,7,3,5,2,4] => 28
[1,7,8,6,5,3,4,2] => 44
[7,8,1,6,5,2,3,4] => 24
[6,4,3,7,2,5,1,8] => 36
[8,4,3,6,5,1,2,7] => 28
[6,5,8,3,2,1,4,7] => 32
[1,8,2,5,3,6,4,7] => 20
[1,5,2,8,3,6,4,7] => 24
[6,7,8,1,4,3,2,5] => 16
[6,7,8,5,1,3,2,4] => 18
[5,7,6,8,2,3,4,1] => 18
[6,7,8,2,4,3,5,1] => 18
[7,8,2,1,3,4,6,5] => 12
[1,5,2,4,3,8,6,7] => 28
[3,2,7,1,8,4,6,5] => 36
[7,8,4,1,6,2,3,5] => 20
[6,1,8,4,5,2,3,7] => 28
[1,6,7,3,2,5,4,8] => 28
[7,8,3,1,2,6,4,5] => 20
[7,8,2,4,5,1,6,3] => 20
[7,8,2,3,1,5,6,4] => 20
[6,2,8,3,1,5,7,4] => 28
[6,3,8,4,5,7,1,2] => 20
[2,6,7,4,5,1,8,3] => 28
[2,6,7,3,1,5,8,4] => 28
[3,5,4,7,6,8,1,2] => 12
[5,3,4,8,6,7,1,2] => 20
[5,2,4,8,6,1,7,3] => 28
[6,3,8,1,2,7,4,5] => 24
[5,1,3,8,2,6,4,7] => 28
[1,5,4,7,6,2,3,8] => 28
[5,1,4,8,6,2,3,7] => 28
[4,6,7,2,8,1,5,3] => 20
[4,6,7,3,8,5,1,2] => 20
[4,5,3,7,8,6,1,2] => 20
[4,5,2,7,8,1,6,3] => 24
[4,2,5,6,8,1,7,3] => 20
[4,3,5,6,8,7,1,2] => 12
[3,7,5,2,4,1,8,6] => 36
[8,2,4,5,7,3,6,1] => 22
[8,2,4,6,5,3,1,7] => 28
[8,2,5,4,6,1,3,7] => 24
[8,6,3,5,1,4,2,7] => 32
[8,6,1,4,5,3,2,7] => 32
[8,1,5,6,4,3,2,7] => 34
[5,4,7,3,1,8,2,6] => 34
[1,7,4,5,3,2,8,6] => 36
[5,7,4,2,1,3,8,6] => 36
[8,3,7,5,1,4,6,2] => 28
[8,4,1,7,5,3,6,2] => 32
[4,6,3,8,7,1,5,2] => 26
[3,1,5,8,6,7,4,2] => 32
[4,8,1,6,7,3,5,2] => 30
[3,6,4,1,8,7,5,2] => 32
[8,2,6,1,4,7,5,3] => 30
[3,7,1,6,4,8,2,5] => 28
[1,7,3,5,6,8,2,4] => 24
[4,2,7,6,8,3,1,5] => 28
[3,8,2,4,6,7,5,1] => 24
[3,7,2,6,4,8,1,5] => 28
[5,3,7,2,1,8,4,6] => 34
[8,7,6,1,3,4,2,5] => 26
[3,7,8,6,2,1,5,4] => 32
[8,5,3,7,1,6,2,4] => 28
[8,5,7,2,1,3,6,4] => 24
[8,2,6,7,1,3,5,4] => 24
[8,3,6,1,7,5,2,4] => 30
[4,6,1,8,7,2,5,3] => 26
[8,2,6,5,7,4,1,3] => 32
[1,7,2,5,8,6,4,3] => 34
[1,7,4,8,2,6,5,3] => 32
[3,7,8,1,6,5,2,4] => 30
[2,7,8,6,1,3,5,4] => 28
[2,6,5,7,3,4,8,1] => 24
[1,6,4,7,5,8,2,3] => 24
[8,2,6,3,4,7,5,1] => 22
[7,2,6,3,5,4,8,1] => 28
[6,2,7,4,3,5,8,1] => 24
[4,7,5,6,3,2,8,1] => 32
[3,7,6,4,5,2,8,1] => 32
[6,1,7,5,3,8,2,4] => 28
[5,4,1,7,6,8,2,3] => 24
[4,8,5,6,2,7,3,1] => 24
[3,8,6,4,2,7,5,1] => 32
[7,8,5,2,4,6,3,1] => 30
[2,8,1,7,4,3,6,5] => 34
[3,8,4,1,7,2,6,5] => 32
[5,4,7,1,8,3,2,6] => 28
[6,7,1,4,8,3,2,5] => 22
[2,7,1,8,4,5,3,6] => 28
[6,5,1,4,3,8,2,7] => 40
[7,4,2,1,8,5,3,6] => 32
[6,4,3,1,5,8,2,7] => 36
[4,7,5,6,8,3,2,1] => 26
[1,4,8,6,7,5,2,3] => 32
[7,3,8,5,4,6,2,1] => 30
[6,3,5,8,4,7,2,1] => 30
[5,4,3,8,6,7,2,1] => 32
[5,4,2,8,7,3,6,1] => 36
[6,2,5,8,7,3,4,1] => 28
[7,2,8,6,4,3,5,1] => 32
[2,1,8,7,4,6,3,5] => 42
[3,1,8,5,7,6,2,4] => 36
[5,4,1,8,7,6,2,3] => 34
[4,5,2,6,3,1,8,7] => 34
[6,5,2,7,4,8,3,1] => 30
[8,3,7,5,2,1,6,4] => 34
[5,6,3,2,4,1,8,7] => 40
[3,6,2,4,1,5,8,7] => 32
[7,6,1,3,5,8,4,2] => 30
[3,6,7,4,1,8,5,2] => 24
[5,6,3,7,4,8,1,2] => 18
[2,1,6,7,4,8,5,3] => 34
[5,8,3,7,4,2,6,1] => 32
[3,8,7,4,1,2,6,5] => 30
[7,8,1,3,5,2,6,4] => 18
[3,8,4,2,5,7,1,6] => 26
[6,8,3,5,2,7,4,1] => 30
[2,1,8,5,3,7,4,6] => 34
[6,5,3,2,8,7,1,4] => 36
[7,5,2,4,8,1,6,3] => 30
[3,4,2,8,5,7,6,1] => 28
[5,7,1,6,8,2,4,3] => 20
[8,6,2,5,1,7,4,3] => 34
[5,6,2,1,8,7,3,4] => 28
[7,5,2,6,3,8,1,4] => 26
[2,4,3,1,8,5,6,7] => 30
[7,1,8,5,4,3,6,2] => 34
[2,1,7,8,5,4,6,3] => 40
[2,1,5,8,4,6,3,7] => 32
[6,5,3,8,4,1,2,7] => 34
[2,4,8,3,5,6,1,7] => 20
[4,1,8,3,6,5,2,7] => 32
[8,4,1,3,7,2,6,5] => 32
[4,3,8,2,5,1,7,6] => 36
[7,4,3,8,2,5,1,6] => 30
[2,1,4,8,3,5,7,6] => 28
[3,2,5,4,7,1,8,6] => 30
[4,2,5,3,6,1,8,7] => 30
[3,1,5,4,6,2,8,7] => 28
[4,1,5,3,6,2,8,7] => 30
[4,3,5,1,7,2,8,6] => 32
[3,1,5,4,7,2,8,6] => 30
[2,1,5,4,7,3,8,6] => 32
[4,3,5,1,7,6,8,2] => 24
[4,3,6,1,7,5,8,2] => 26
[5,1,6,3,7,4,8,2] => 24
[3,1,6,4,7,5,8,2] => 24
[2,1,6,4,7,5,8,3] => 30
[2,1,6,4,7,3,8,5] => 30
[3,1,6,4,7,2,8,5] => 28
[4,1,6,3,7,2,8,5] => 30
[5,1,6,3,7,2,8,4] => 24
[4,2,5,1,7,3,8,6] => 32
[4,2,6,3,7,1,8,5] => 30
[3,2,6,4,7,1,8,5] => 28
[3,1,4,2,7,6,8,5] => 32
[3,2,6,5,7,1,8,4] => 28
[4,2,6,5,7,3,8,1] => 22
[4,2,6,5,7,1,8,3] => 22
[3,1,5,2,7,6,8,4] => 30
[2,1,5,3,7,6,8,4] => 28
[2,1,6,3,7,5,8,4] => 30
[3,1,6,2,7,5,8,4] => 32
[5,2,6,1,7,4,8,3] => 28
[5,2,6,4,7,3,8,1] => 24
[5,1,6,4,7,2,8,3] => 24
[4,1,6,5,7,2,8,3] => 22
[3,1,6,5,7,2,8,4] => 28
[2,1,6,5,7,3,8,4] => 30
[4,7,2,6,5,3,1,8] => 36
[5,7,6,2,4,3,1,8] => 36
[4,8,2,6,5,1,3,7] => 28
[6,1,5,4,2,8,7,3] => 36
[7,1,5,4,8,2,6,3] => 28
[6,8,7,1,2,4,3,5] => 12
[8,4,3,7,1,5,2,6] => 28
[4,5,2,3,1,8,7,6] => 44
[1,5,8,3,7,6,4,2] => 36
[8,5,1,3,7,6,2,4] => 28
[6,5,1,3,2,8,7,4] => 36
[4,6,2,1,3,8,7,5] => 36
[4,7,2,1,8,3,6,5] => 32
[7,6,1,8,3,2,5,4] => 24
[1,6,8,7,3,5,4,2] => 36
[7,1,8,6,5,2,4,3] => 36
[1,4,2,7,3,6,5,8] => 26
[1,5,2,7,3,6,4,8] => 24
[1,7,2,4,3,8,5,6] => 22
[1,6,2,5,3,8,4,7] => 28
[5,3,6,8,4,7,2,1] => 26
[3,7,2,5,4,8,6,1] => 26
[8,4,2,5,7,3,6,1] => 26
[4,2,6,5,8,3,7,1] => 26
[5,2,6,8,4,3,7,1] => 28
[3,1,6,5,4,8,2,7] => 34
[4,1,6,5,8,3,2,7] => 32
[5,1,6,8,4,3,2,7] => 34
[5,7,1,8,4,3,2,6] => 28
[4,7,1,5,8,3,2,6] => 26
[2,7,1,5,4,3,8,6] => 34
[8,3,1,5,4,7,2,6] => 26
[8,4,1,5,7,3,2,6] => 28
[8,4,6,1,7,3,2,5] => 26
[8,2,6,1,4,3,7,5] => 26
[2,7,6,1,4,3,8,5] => 32
[3,7,6,1,4,8,2,5] => 26
[4,7,6,2,8,3,5,1] => 26
[8,3,6,2,4,7,5,1] => 26
[3,7,6,2,4,8,5,1] => 28
[8,7,3,1,4,6,2,5] => 26
[8,7,2,5,1,3,6,4] => 26
[8,2,6,5,1,3,7,4] => 28
[8,3,6,5,1,7,2,4] => 26
[8,4,6,5,7,1,2,3] => 18
[5,7,6,8,4,1,2,3] => 18
[4,7,6,5,8,1,2,3] => 16
[3,7,6,5,1,8,2,4] => 28
[2,7,6,5,1,3,8,4] => 34
[9,7,8,4,5,6,1,2,3] => 39
[9,7,8,5,6,1,2,3,4] => 36
[9,8,5,6,7,1,2,3,4] => 31
[8,9,5,6,7,1,2,3,4] => 24
[7,4,8,2,5,9,1,3,6] => 32
[6,4,7,2,5,1,3,8,9] => 45
[6,3,2,7,8,1,4,5,9] => 38
[6,7,3,4,8,1,2,5,9] => 35
[8,7,6,5,4,3,2,1,9] => 84
[1,9,8,7,6,5,4,3,2] => 84
[8,7,6,4,5,3,2,1,9] => 77
[1,9,8,7,5,6,4,3,2] => 77
[8,7,5,4,6,3,2,1,9] => 72
[8,7,4,6,5,3,2,1,9] => 72
[1,9,8,6,5,7,4,3,2] => 72
[1,9,8,5,7,6,4,3,2] => 72
[9,1,2,3,4,5,6,7,8] => 0
[2,3,4,5,6,7,8,9,1] => 0
[8,1,2,3,4,5,6,7,9] => 7
[2,3,4,5,6,7,8,1,9] => 7
[8,1,2,3,4,5,6,9,7] => 12
[7,1,2,3,4,5,6,8,9] => 12
[2,3,4,5,6,7,1,8,9] => 12
[2,3,4,5,6,7,9,1,8] => 12
[9,2,1,3,4,5,6,7,8] => 7
[3,2,4,5,6,7,8,9,1] => 7
[9,3,1,2,4,5,6,7,8] => 12
[9,2,3,1,4,5,6,7,8] => 12
[4,2,3,5,6,7,8,9,1] => 12
[3,4,2,5,6,7,8,9,1] => 12
[7,8,6,5,4,3,2,1,9] => 77
[1,8,9,7,6,5,4,3,2] => 77
[7,6,8,5,4,3,2,1,9] => 72
[6,8,7,5,4,3,2,1,9] => 72
[1,8,7,9,6,5,4,3,2] => 72
[1,7,9,8,6,5,4,3,2] => 72
[1,9,2,3,4,5,6,7,8] => 7
[7,8,1,2,3,4,5,6,9] => 12
[1,8,9,2,3,4,5,6,7] => 12
[7,1,8,2,3,4,5,6,9] => 17
[6,8,1,2,3,4,5,7,9] => 17
[1,8,2,9,3,4,5,6,7] => 17
[1,7,9,2,3,4,5,6,8] => 17
[1,2,3,4,5,6,7,9,8] => 7
[2,1,3,4,5,6,7,8,9] => 7
[2,9,1,3,4,5,6,7,8] => 12
[1,8,2,3,4,5,6,9,7] => 17
[7,1,2,3,4,5,6,9,8] => 19
[2,1,9,3,4,5,6,7,8] => 19
[2,8,1,3,4,5,6,7,9] => 17
[1,2,3,4,5,6,7,8,9] => 0
[8,9,1,2,3,4,5,6,7] => 0
[9,8,1,2,3,4,5,6,7] => 7
[7,8,9,1,2,3,4,5,6] => 0
[9,7,8,1,2,3,4,5,6] => 12
[9,8,7,1,2,3,4,5,6] => 19
[6,7,8,9,1,2,3,4,5] => 0
[9,6,7,8,1,2,3,4,5] => 15
[8,9,6,7,1,2,3,4,5] => 20
[9,8,6,7,1,2,3,4,5] => 27
[9,8,7,6,1,2,3,4,5] => 34
[9,5,6,7,8,1,2,3,4] => 16
[9,8,7,5,6,1,2,3,4] => 43
[9,8,7,6,5,1,2,3,4] => 50
[7,8,9,4,5,6,1,2,3] => 27
[9,8,7,4,5,6,1,2,3] => 46
[8,9,6,7,4,5,1,2,3] => 44
[9,8,6,7,4,5,1,2,3] => 51
[9,8,7,6,4,5,1,2,3] => 58
[9,8,7,6,5,4,1,2,3] => 65
[9,7,8,5,6,3,4,1,2] => 56
[9,8,7,5,6,3,4,1,2] => 63
[9,8,7,6,5,3,4,1,2] => 70
[9,8,7,6,5,4,3,1,2] => 77
[9,8,7,6,5,4,3,2,1] => 84
[3,4,1,2,5,6,7,8,9] => 20
[3,2,1,4,5,6,7,8,9] => 19
[4,5,6,1,2,3,7,8,9] => 27
[4,2,5,1,3,6,7,8,9] => 28
[4,3,2,1,5,6,7,8,9] => 34
[5,6,7,8,1,2,3,4,9] => 16
[5,2,6,7,1,3,4,8,9] => 31
[5,6,3,4,1,2,7,8,9] => 44
[5,3,2,6,1,4,7,8,9] => 39
[5,4,3,2,1,6,7,8,9] => 50
[6,2,7,8,9,1,3,4,5] => 16
[6,4,3,2,7,1,5,8,9] => 51
[6,5,4,3,2,1,7,8,9] => 65
[7,4,3,2,8,9,1,5,6] => 46
[7,8,5,6,3,4,1,2,9] => 56
[7,5,3,8,2,6,1,4,9] => 49
[7,5,4,3,2,8,1,6,9] => 62
[7,6,5,4,3,2,1,8,9] => 77
[8,6,9,4,7,2,5,1,3] => 42
[8,6,4,3,9,2,7,1,5] => 52
[8,6,5,4,3,2,9,1,7] => 70
[2,1,4,3,6,5,8,7,10,9] => 40
[4,3,2,1,6,5,8,7,10,9] => 64
[6,3,2,5,4,1,8,7,10,9] => 72
[8,3,2,5,4,7,6,1,10,9] => 64
[10,3,2,5,4,7,6,9,8,1] => 40
[2,1,6,5,4,3,8,7,10,9] => 64
[6,5,4,3,2,1,8,7,10,9] => 96
[8,5,4,3,2,7,6,1,10,9] => 88
[10,5,4,3,2,7,6,9,8,1] => 64
[2,1,8,5,4,7,6,3,10,9] => 72
[8,7,4,3,6,5,2,1,10,9] => 96
[10,7,4,3,6,5,2,9,8,1] => 72
[2,1,10,5,4,7,6,9,8,3] => 64
[10,9,4,3,6,5,8,7,2,1] => 64
[8,9,5,6,3,4,10,1,2,7] => 60
[2,1,4,3,8,7,6,5,10,9] => 64
[4,3,2,1,8,7,6,5,10,9] => 88
[8,3,2,7,6,5,4,1,10,9] => 88
[10,3,2,7,6,5,4,9,8,1] => 64
[2,1,8,7,6,5,4,3,10,9] => 96
[8,7,6,5,4,3,2,1,10,9] => 120
[9,7,6,5,4,3,2,10,1,8] => 104
[10,7,6,5,4,3,2,9,8,1] => 96
[2,1,10,7,6,5,4,9,8,3] => 88
[10,9,6,5,4,3,8,7,2,1] => 88
[2,1,4,3,10,7,6,9,8,5] => 72
[4,3,2,1,10,7,6,9,8,5] => 96
[10,3,2,9,6,5,8,7,4,1] => 72
[2,1,10,9,6,5,8,7,4,3] => 96
[10,9,8,5,4,7,6,3,2,1] => 96
[6,7,8,9,10,1,2,3,4,5] => 0
[7,3,2,8,9,10,1,4,5,6] => 40
[8,5,4,3,2,9,10,1,6,7] => 76
[2,1,4,3,6,5,10,9,8,7] => 64
[4,3,2,1,6,5,10,9,8,7] => 88
[6,3,2,5,4,1,10,9,8,7] => 96
[10,3,2,5,4,9,8,7,6,1] => 64
[2,1,6,5,4,3,10,9,8,7] => 88
[6,5,4,3,2,1,10,9,8,7] => 120
[10,5,4,3,2,9,8,7,6,1] => 88
[2,1,10,5,4,9,8,7,6,3] => 88
[10,9,4,3,8,7,6,5,2,1] => 88
[9,7,5,10,3,8,2,6,1,4] => 64
[2,1,4,3,10,9,8,7,6,5] => 96
[4,3,2,1,10,9,8,7,6,5] => 120
[10,3,2,9,8,7,6,5,4,1] => 96
[2,1,10,9,8,7,6,5,4,3] => 120
[10,9,8,7,6,5,4,3,2,1] => 120
[2,4,6,8,10,1,3,5,7,9] => 40
[5,6,7,8,10,1,2,3,4,9] => 20
[4,7,8,9,10,1,2,3,5,6] => 14
[5,7,8,9,10,1,2,3,4,6] => 8
[4,5,6,8,10,1,2,3,7,9] => 32
[3,7,8,9,10,1,2,4,5,6] => 18
[3,6,7,8,10,1,2,4,5,9] => 30
[3,5,8,9,10,1,2,4,6,7] => 28
[3,6,8,9,10,1,2,4,5,7] => 24
[4,6,7,8,10,1,2,3,5,9] => 26
[4,5,8,9,10,1,2,3,6,7] => 24
[5,6,8,9,10,1,2,3,4,7] => 14
[4,6,8,9,10,1,2,3,5,7] => 20
[3,4,6,8,10,1,2,5,7,9] => 38
[2,7,8,9,10,1,3,4,5,6] => 20
[2,6,7,8,10,1,3,4,5,9] => 32
[2,5,8,9,10,1,3,4,6,7] => 30
[2,6,8,9,10,1,3,4,5,7] => 26
[2,5,6,8,10,1,3,4,7,9] => 38
[2,4,8,9,10,1,3,5,6,7] => 32
[2,4,7,8,10,1,3,5,6,9] => 38
[2,4,6,9,10,1,3,5,7,8] => 38
[2,4,7,9,10,1,3,5,6,8] => 36
[2,5,7,8,10,1,3,4,6,9] => 36
[4,5,6,9,10,1,2,3,7,8] => 30
[5,6,7,9,10,1,2,3,4,8] => 18
[2,5,7,9,10,1,3,4,6,8] => 34
[3,5,6,8,10,1,2,4,7,9] => 36
[3,4,8,9,10,1,2,5,6,7] => 30
[3,4,7,8,10,1,2,5,6,9] => 36
[3,4,6,9,10,1,2,5,7,8] => 36
[3,4,7,9,10,1,2,5,6,8] => 34
[4,5,7,8,10,1,2,3,6,9] => 30
[2,5,6,9,10,1,3,4,7,8] => 36
[2,6,7,9,10,1,3,4,5,8] => 30
[4,5,7,9,10,1,2,3,6,8] => 28
[3,5,7,8,10,1,2,4,6,9] => 34
[3,5,6,9,10,1,2,4,7,8] => 34
[3,6,7,9,10,1,2,4,5,8] => 28
[4,6,7,9,10,1,2,3,5,8] => 24
[3,5,7,9,10,1,2,4,6,8] => 32
[10,8,9,5,6,7,1,2,3,4] => 50
[9,6,10,2,7,8,1,3,4,5] => 38
[10,7,8,3,4,9,1,2,5,6] => 44
[9,5,10,4,6,7,1,2,3,8] => 44
[8,4,9,3,5,10,1,2,6,7] => 44
[8,4,9,2,5,10,1,3,6,7] => 42
[10,8,9,4,5,6,1,2,3,7] => 50
[9,6,10,5,7,8,1,2,3,4] => 38
[10,7,8,5,6,9,1,2,3,4] => 44
[9,8,10,5,6,7,1,2,3,4] => 44
[8,7,9,5,6,10,1,2,3,4] => 38
[8,6,9,2,7,10,1,3,4,5] => 34
[10,6,7,4,5,8,1,2,3,9] => 54
[9,5,10,2,6,7,1,3,4,8] => 42
[10,6,7,3,4,8,1,2,5,9] => 52
[9,8,10,4,5,6,1,2,3,7] => 44
[8,7,9,3,4,10,1,2,5,6] => 38
[8,6,9,5,7,10,1,2,3,4] => 34
[7,6,8,4,5,9,1,2,3,10] => 56
[7,5,8,2,6,9,1,3,4,10] => 50
[7,6,8,3,4,9,1,2,5,10] => 54
[7,5,8,4,6,9,1,2,3,10] => 52
[7,4,8,3,5,9,1,2,6,10] => 54
[7,4,8,2,5,9,1,3,6,10] => 52
[7,8,9,10,1,2,3,4,5,6] => 0
[9,10,7,8,5,6,3,4,1,2] => 80
[9,1,2,3,4,5,6,7,8,10] => 8
[1,2,3,4,5,6,7,8,9,10] => 0
[9,10,7,8,5,6,1,2,3,4] => 56
[9,10,5,6,7,8,1,2,3,4] => 32
[9,10,7,8,1,2,3,4,5,6] => 24
[9,10,1,2,3,4,5,6,7,8] => 0
[10,1,2,3,4,5,6,7,8,9] => 0
[9,8,7,6,5,4,3,2,1,10] => 120
[1,10,9,8,7,6,5,4,3,2] => 120
[1,10,2,3,4,5,6,7,8,9] => 8
[9,7,10,5,6,8,1,2,3,4] => 42
[10,7,8,4,5,9,1,2,3,6] => 46
[9,7,10,4,5,8,1,2,3,6] => 44
[8,7,9,4,5,10,1,2,3,6] => 40
[9,6,10,4,5,7,1,2,3,8] => 48
[8,6,9,4,5,10,1,2,3,7] => 46
[8,6,9,4,7,10,1,2,3,5] => 36
[9,6,10,3,4,7,1,2,5,8] => 46
[8,5,9,3,6,10,1,2,4,7] => 42
[9,5,10,3,6,7,1,2,4,8] => 44
[8,6,9,3,4,10,1,2,5,7] => 44
[8,6,9,3,7,10,1,2,4,5] => 36
[9,6,10,3,7,8,1,2,4,5] => 40
[9,7,10,3,4,8,1,2,5,6] => 42
[8,5,9,4,6,10,1,2,3,7] => 42
[9,6,10,4,7,8,1,2,3,5] => 40
[10,8,9,1,2,3,4,5,6,7] => 14
[9,8,7,5,6,4,3,2,1,10] => 112
[1,10,9,8,6,7,5,4,3,2] => 112
[2,3,4,5,6,7,8,9,10,1] => 0
[2,3,4,5,6,7,8,9,1,10] => 8
[10,2,1,3,4,5,6,7,8,9] => 8
[3,2,4,5,6,7,8,9,10,1] => 8
[8,9,7,6,5,4,3,2,1,10] => 112
[1,9,10,8,7,6,5,4,3,2] => 112
[8,9,1,2,3,4,5,6,7,10] => 14
[1,9,10,2,3,4,5,6,7,8] => 14
[1,2,3,4,5,6,7,8,10,9] => 8
[2,1,3,4,5,6,7,8,9,10] => 8
[9,1,2,3,4,5,6,7,10,8] => 14
[2,10,1,3,4,5,6,7,8,9] => 14
[10,9,1,2,3,4,5,6,7,8] => 8
[8,9,10,1,2,3,4,5,6,7] => 0
[10,9,8,1,2,3,4,5,6,7] => 22
[10,7,8,9,1,2,3,4,5,6] => 18
[10,9,7,8,1,2,3,4,5,6] => 32
[10,9,8,7,1,2,3,4,5,6] => 40
[10,6,7,8,9,1,2,3,4,5] => 20
[9,10,6,7,8,1,2,3,4,5] => 30
[10,9,6,7,8,1,2,3,4,5] => 38
[10,8,9,6,7,1,2,3,4,5] => 44
[10,9,8,6,7,1,2,3,4,5] => 52
[10,9,8,7,6,1,2,3,4,5] => 60
[10,9,5,6,7,8,1,2,3,4] => 40
[8,9,10,5,6,7,1,2,3,4] => 36
[10,9,8,5,6,7,1,2,3,4] => 58
[10,9,7,8,5,6,1,2,3,4] => 64
[10,9,8,7,5,6,1,2,3,4] => 72
[10,9,8,7,6,5,1,2,3,4] => 80
[10,7,8,9,4,5,6,1,2,3] => 54
[9,10,7,8,4,5,6,1,2,3] => 60
[10,9,7,8,4,5,6,1,2,3] => 68
[10,9,8,7,4,5,6,1,2,3] => 76
[10,8,9,6,7,4,5,1,2,3] => 74
[10,9,8,6,7,4,5,1,2,3] => 82
[10,9,8,7,6,4,5,1,2,3] => 90
[10,9,8,7,6,5,4,1,2,3] => 98
[10,9,7,8,5,6,3,4,1,2] => 88
[10,9,8,7,5,6,3,4,1,2] => 96
[10,9,8,7,6,5,3,4,1,2] => 104
[10,9,8,7,6,5,4,3,1,2] => 112
[3,4,1,2,5,6,7,8,9,10] => 24
[3,2,1,4,5,6,7,8,9,10] => 22
[4,5,6,1,2,3,7,8,9,10] => 36
[4,2,5,1,3,6,7,8,9,10] => 34
[4,3,2,1,5,6,7,8,9,10] => 40
[5,6,7,8,1,2,3,4,9,10] => 32
[5,2,6,7,1,3,4,8,9,10] => 42
[5,6,3,4,1,2,7,8,9,10] => 56
[5,3,2,6,1,4,7,8,9,10] => 48
[5,4,3,2,1,6,7,8,9,10] => 60
[6,2,7,8,9,1,3,4,5,10] => 34
[6,7,3,4,8,1,2,5,9,10] => 52
[6,3,2,7,8,1,4,5,9,10] => 52
[6,4,7,2,5,1,3,8,9,10] => 60
[6,4,3,2,7,1,5,8,9,10] => 64
[6,5,4,3,2,1,7,8,9,10] => 80
[7,8,3,4,9,10,1,2,5,6] => 32
[7,8,9,4,5,6,1,2,3,10] => 54
[7,4,3,2,8,9,1,5,6,10] => 64
[7,8,5,6,3,4,1,2,9,10] => 80
[7,5,3,8,2,6,1,4,9,10] => 68
[7,5,4,3,2,8,1,6,9,10] => 80
[7,6,5,4,3,2,1,8,9,10] => 98
[8,5,9,10,2,6,7,1,3,4] => 40
[8,5,3,9,2,6,10,1,4,7] => 56
[8,6,9,4,7,2,5,1,3,10] => 70
[8,6,4,3,9,2,7,1,5,10] => 76
[8,6,5,4,3,2,9,1,7,10] => 94
[8,7,6,5,4,3,2,1,9,10] => 112
[9,7,5,4,3,10,2,8,1,6] => 82
[7,5,8,3,6,9,1,2,4,10] => 52
[8,5,9,2,6,10,1,3,4,7] => 40
[10,9,8,7,6,5,4,3,2,1,11] => 165
[1,11,10,9,8,7,6,5,4,3,2] => 165
[11,1,2,3,4,5,6,7,8,9,10] => 0
[2,3,4,5,6,7,8,9,10,11,1] => 0
[10,1,2,3,4,5,6,7,8,9,11] => 9
[1,11,2,3,4,5,6,7,8,9,10] => 9
[1,2,3,4,5,6,7,8,9,11,10] => 9
[2,1,3,4,5,6,7,8,9,10,11] => 9
[6,7,8,9,10,12,1,2,3,4,5,11] => 30
[2,8,9,10,11,12,1,3,4,5,6,7] => 30
[10,9,8,7,6,5,4,3,2,1,12,11] => 220
[2,1,12,11,10,9,8,7,6,5,4,3] => 220
[2,7,9,10,11,12,1,3,4,5,6,8] => 38
[5,7,8,9,10,12,1,2,3,4,6,11] => 38
[2,6,9,10,11,12,1,3,4,5,7,8] => 44
[2,7,8,10,11,12,1,3,4,5,6,9] => 44
[4,7,8,9,10,12,1,2,3,5,6,11] => 44
[5,6,8,9,10,12,1,2,3,4,7,11] => 44
[2,5,9,10,11,12,1,3,4,6,7,8] => 48
[2,6,8,10,11,12,1,3,4,5,7,9] => 50
[2,7,8,9,11,12,1,3,4,5,6,10] => 48
[3,4,9,10,11,12,1,2,5,6,7,8] => 48
[3,7,8,9,10,12,1,2,4,5,6,11] => 48
[4,6,8,9,10,12,1,2,3,5,7,11] => 50
[5,6,7,8,11,12,1,2,3,4,9,10] => 48
[5,6,7,9,10,12,1,2,3,4,8,11] => 48
[2,4,9,10,11,12,1,3,5,6,7,8] => 50
[2,5,8,10,11,12,1,3,4,6,7,9] => 54
[2,6,7,10,11,12,1,3,4,5,8,9] => 54
[2,6,8,9,11,12,1,3,4,5,7,10] => 54
[2,7,8,9,10,12,1,3,4,5,6,11] => 50
[3,4,8,10,11,12,1,2,5,6,7,9] => 54
[3,6,8,9,10,12,1,2,4,5,7,11] => 54
[4,5,6,10,11,12,1,2,3,7,8,9] => 54
[4,5,8,9,10,12,1,2,3,6,7,11] => 54
[4,6,7,8,11,12,1,2,3,5,9,10] => 54
[4,6,7,9,10,12,1,2,3,5,8,11] => 54
[5,6,7,8,10,12,1,2,3,4,9,11] => 50
[2,4,8,10,11,12,1,3,5,6,7,9] => 56
[2,5,7,10,11,12,1,3,4,6,8,9] => 58
[2,5,8,9,11,12,1,3,4,6,7,10] => 58
[2,6,7,9,11,12,1,3,4,5,8,10] => 58
[2,6,8,9,10,12,1,3,4,5,7,11] => 56
[3,4,7,10,11,12,1,2,5,6,8,9] => 58
[3,4,8,9,11,12,1,2,5,6,7,10] => 58
[3,5,6,10,11,12,1,2,4,7,8,9] => 58
[3,5,8,9,10,12,1,2,4,6,7,11] => 58
[3,6,7,8,11,12,1,2,4,5,9,10] => 58
[3,6,7,9,10,12,1,2,4,5,8,11] => 58
[4,5,6,9,11,12,1,2,3,7,8,10] => 58
[4,5,7,8,11,12,1,2,3,6,9,10] => 58
[4,5,7,9,10,12,1,2,3,6,8,11] => 58
[4,6,7,8,10,12,1,2,3,5,9,11] => 56
[2,1,12,11,10,7,6,9,8,5,4,3] => 188
[10,9,8,5,4,7,6,3,2,1,12,11] => 188
[2,1,12,11,6,5,10,9,8,7,4,3] => 172
[2,1,12,11,8,7,6,5,10,9,4,3] => 172
[10,9,4,3,8,7,6,5,2,1,12,11] => 172
[10,9,6,5,4,3,8,7,2,1,12,11] => 172
[2,1,12,5,4,11,10,9,8,7,6,3] => 172
[2,1,12,11,6,5,8,7,10,9,4,3] => 140
[2,1,12,9,8,7,6,5,4,11,10,3] => 172
[4,3,2,1,12,11,10,9,8,7,6,5] => 220
[10,3,2,9,8,7,6,5,4,1,12,11] => 172
[10,9,4,3,6,5,8,7,2,1,12,11] => 140
[8,7,6,5,4,3,2,1,12,11,10,9] => 220
[10,7,6,5,4,3,2,9,8,1,12,11] => 172
[2,1,4,3,12,11,10,9,8,7,6,5] => 188
[2,1,12,5,4,11,8,7,10,9,6,3] => 140
[2,1,12,7,6,5,4,11,10,9,8,3] => 156
[2,1,12,9,6,5,8,7,4,11,10,3] => 140
[2,1,10,9,8,7,6,5,4,3,12,11] => 188
[4,3,2,1,12,11,8,7,10,9,6,5] => 188
[10,3,2,9,6,5,8,7,4,1,12,11] => 140
[6,5,4,3,2,1,12,11,10,9,8,7] => 220
[10,5,4,3,2,9,8,7,6,1,12,11] => 156
[8,7,4,3,6,5,2,1,12,11,10,9] => 188
[10,7,4,3,6,5,2,9,8,1,12,11] => 140
[8,7,6,5,4,3,2,1,10,9,12,11] => 188
[2,1,4,3,12,11,8,7,10,9,6,5] => 156
[2,1,12,5,4,7,6,11,10,9,8,3] => 124
[2,1,12,5,4,9,8,7,6,11,10,3] => 124
[2,1,12,7,6,5,4,9,8,11,10,3] => 124
[2,1,10,9,6,5,8,7,4,3,12,11] => 156
[4,3,2,1,12,7,6,11,10,9,8,5] => 172
[4,3,2,1,12,9,8,7,6,11,10,5] => 172
[6,3,2,5,4,1,12,11,10,9,8,7] => 188
[10,3,2,5,4,9,8,7,6,1,12,11] => 124
[8,3,2,7,6,5,4,1,12,11,10,9] => 172
[10,3,2,7,6,5,4,9,8,1,12,11] => 124
[6,5,4,3,2,1,12,9,8,11,10,7] => 188
[8,5,4,3,2,7,6,1,12,11,10,9] => 172
[10,5,4,3,2,7,6,9,8,1,12,11] => 124
[8,7,4,3,6,5,2,1,10,9,12,11] => 156
[2,4,6,9,11,12,1,3,5,7,8,10] => 66
[2,4,6,8,11,12,1,3,5,7,9,10] => 68
[3,4,6,9,11,12,1,2,5,7,8,10] => 64
[3,4,6,8,11,12,1,2,5,7,9,10] => 66
[3,5,6,9,11,12,1,2,4,7,8,10] => 62
[2,5,6,9,11,12,1,3,4,7,8,10] => 64
[3,5,6,8,11,12,1,2,4,7,9,10] => 64
[2,5,6,8,11,12,1,3,4,7,9,10] => 66
[2,4,8,9,11,12,1,3,5,6,7,10] => 60
[2,5,7,9,11,12,1,3,4,6,8,10] => 62
[2,5,7,8,11,12,1,3,4,6,9,10] => 64
[4,5,6,8,11,12,1,2,3,7,9,10] => 60
[2,4,7,9,11,12,1,3,5,6,8,10] => 64
[2,4,7,8,11,12,1,3,5,6,9,10] => 66
[4,5,8,9,11,12,1,2,3,6,7,10] => 52
[3,5,8,9,11,12,1,2,4,6,7,10] => 56
[2,4,7,10,11,12,1,3,5,6,8,9] => 60
[4,5,7,9,11,12,1,2,3,6,8,10] => 56
[3,5,7,9,11,12,1,2,4,6,8,10] => 60
[3,5,7,8,11,12,1,2,4,6,9,10] => 62
[3,4,7,9,11,12,1,2,5,6,8,10] => 62
[3,4,7,8,11,12,1,2,5,6,9,10] => 64
[2,4,6,10,11,12,1,3,5,7,8,9] => 62
[4,7,8,9,11,12,1,2,3,5,6,10] => 42
[3,7,8,9,11,12,1,2,4,5,6,10] => 46
[4,6,8,9,11,12,1,2,3,5,7,10] => 48
[3,6,8,9,11,12,1,2,4,5,7,10] => 52
[4,6,7,9,11,12,1,2,3,5,8,10] => 52
[3,6,7,9,11,12,1,2,4,5,8,10] => 56
[2,6,7,8,11,12,1,3,4,5,9,10] => 60
[3,4,6,10,11,12,1,2,5,7,8,9] => 60
[4,5,6,8,10,12,1,2,3,7,9,11] => 62
[3,6,7,8,10,12,1,2,4,5,9,11] => 60
[2,6,7,8,10,12,1,3,4,5,9,11] => 62
[3,4,8,9,10,12,1,2,5,6,7,11] => 60
[2,4,8,9,10,12,1,3,5,6,7,11] => 62
[4,6,8,10,11,12,1,2,3,5,7,9] => 44
[4,6,7,10,11,12,1,2,3,5,8,9] => 48
[4,5,7,10,11,12,1,2,3,6,8,9] => 52
[3,5,7,10,11,12,1,2,4,6,8,9] => 56
[2,5,8,9,10,12,1,3,4,6,7,11] => 60
[5,6,8,10,11,12,1,2,3,4,7,9] => 38
[4,5,8,10,11,12,1,2,3,6,7,9] => 48
[5,6,8,9,11,12,1,2,3,4,7,10] => 42
[3,6,7,10,11,12,1,2,4,5,8,9] => 52
[5,6,7,9,11,12,1,2,3,4,8,10] => 46
[2,5,6,10,11,12,1,3,4,7,8,9] => 60
[4,5,6,9,10,12,1,2,3,7,8,11] => 60
[2,5,6,9,10,12,1,3,4,7,8,11] => 66
[3,4,6,8,10,12,1,2,5,7,9,11] => 68
[3,4,6,9,10,12,1,2,5,7,8,11] => 66
[3,5,8,10,11,12,1,2,4,6,7,9] => 52
[3,4,7,8,10,12,1,2,5,6,9,11] => 66
[3,5,6,8,10,12,1,2,4,7,9,11] => 66
[3,5,9,10,11,12,1,2,4,6,7,8] => 46
[3,5,7,9,10,12,1,2,4,6,8,11] => 62
[3,6,8,10,11,12,1,2,4,5,7,9] => 48
[3,4,7,9,10,12,1,2,5,6,8,11] => 64
[3,5,7,8,10,12,1,2,4,6,9,11] => 64
[3,6,9,10,11,12,1,2,4,5,7,8] => 42
[3,5,6,9,10,12,1,2,4,7,8,11] => 64
[3,7,8,10,11,12,1,2,4,5,6,9] => 42
[3,7,9,10,11,12,1,2,4,5,6,8] => 36
[4,6,9,10,11,12,1,2,3,5,7,8] => 38
[2,5,7,8,10,12,1,3,4,6,9,11] => 66
[2,4,7,9,10,12,1,3,5,6,8,11] => 66
[2,5,6,8,10,12,1,3,4,7,9,11] => 68
[2,4,7,8,10,12,1,3,5,6,9,11] => 68
[2,4,6,9,10,12,1,3,5,7,8,11] => 68
[2,4,6,8,10,12,1,3,5,7,9,11] => 70
[6,7,8,9,11,12,1,2,3,4,5,10] => 28
[5,7,8,9,11,12,1,2,3,4,6,10] => 36
[5,6,7,10,11,12,1,2,3,4,8,9] => 42
[6,7,8,10,11,12,1,2,3,4,5,9] => 24
[5,7,8,10,11,12,1,2,3,4,6,9] => 32
[4,5,7,8,10,12,1,2,3,6,9,11] => 60
[2,6,7,9,10,12,1,3,4,5,8,11] => 60
[6,7,9,10,11,12,1,2,3,4,5,8] => 18
[6,8,9,10,11,12,1,2,3,4,5,7] => 10
[4,7,8,10,11,12,1,2,3,5,6,9] => 38
[5,6,9,10,11,12,1,2,3,4,7,8] => 32
[4,7,9,10,11,12,1,2,3,5,6,8] => 32
[5,7,9,10,11,12,1,2,3,4,6,8] => 26
[4,8,9,10,11,12,1,2,3,5,6,7] => 24
[7,8,9,10,11,12,1,2,3,4,5,6] => 0
[5,8,9,10,11,12,1,2,3,4,6,7] => 18
[3,8,9,10,11,12,1,2,4,5,6,7] => 28
[4,5,9,10,11,12,1,2,3,6,7,8] => 42
[2,1,4,3,6,5,12,9,8,11,10,7] => 108
[2,1,4,3,6,5,8,7,12,11,10,9] => 92
[4,3,2,1,6,5,12,9,8,11,10,7] => 140
[4,3,2,1,6,5,8,7,12,11,10,9] => 124
[6,3,2,5,4,1,12,9,8,11,10,7] => 156
[2,1,6,5,4,3,12,9,8,11,10,7] => 140
[6,3,2,5,4,1,8,7,12,11,10,9] => 140
[2,1,6,5,4,3,8,7,12,11,10,9] => 124
[2,1,4,3,12,9,8,7,6,11,10,5] => 140
[2,1,12,5,4,7,6,9,8,11,10,3] => 92
[2,1,8,5,4,7,6,3,12,11,10,9] => 140
[6,5,4,3,2,1,8,7,12,11,10,9] => 172
[2,1,4,3,12,7,6,9,8,11,10,5] => 108
[2,1,4,3,8,7,6,5,12,11,10,9] => 124
[12,5,4,3,2,9,8,7,6,11,10,1] => 124
[12,3,2,5,4,9,8,7,6,11,10,1] => 92
[2,1,4,3,12,7,6,11,10,9,8,5] => 140
[12,5,4,3,2,7,6,9,8,11,10,1] => 92
[12,3,2,5,4,7,6,9,8,11,10,1] => 60
[8,3,2,5,4,7,6,1,12,11,10,9] => 140
[4,3,2,1,12,7,6,9,8,11,10,5] => 140
[4,3,2,1,8,7,6,5,12,11,10,9] => 156
[2,1,4,3,6,5,12,11,10,9,8,7] => 140
[12,9,4,3,8,7,6,5,2,11,10,1] => 140
[12,3,2,9,8,7,6,5,4,11,10,1] => 140
[12,9,4,3,6,5,8,7,2,11,10,1] => 108
[12,3,2,9,6,5,8,7,4,11,10,1] => 108
[12,7,4,3,6,5,2,9,8,11,10,1] => 108
[12,3,2,7,6,5,4,9,8,11,10,1] => 92
[2,1,8,7,6,5,4,3,12,11,10,9] => 172
[4,3,2,1,6,5,12,11,10,9,8,7] => 172
[6,5,4,3,2,1,8,7,10,9,12,11] => 140
[8,3,2,7,6,5,4,1,10,9,12,11] => 140
[2,1,8,7,6,5,4,3,10,9,12,11] => 140
[4,3,2,1,10,9,8,7,6,5,12,11] => 172
[2,1,4,3,10,9,8,7,6,5,12,11] => 140
[12,11,4,3,6,5,8,7,10,9,2,1] => 92
[12,7,4,3,6,5,2,11,10,9,8,1] => 140
[12,5,4,3,2,7,6,11,10,9,8,1] => 124
[12,3,2,5,4,7,6,11,10,9,8,1] => 92
[2,1,10,5,4,9,8,7,6,3,12,11] => 140
[12,11,6,5,4,3,8,7,10,9,2,1] => 124
[12,5,4,3,2,11,8,7,10,9,6,1] => 140
[12,9,6,5,4,3,8,7,2,11,10,1] => 140
[12,3,2,7,6,5,4,11,10,9,8,1] => 124
[12,7,6,5,4,3,2,9,8,11,10,1] => 140
[2,1,6,5,4,3,12,11,10,9,8,7] => 172
[6,5,4,3,2,1,10,9,8,7,12,11] => 172
[2,1,6,5,4,3,10,9,8,7,12,11] => 124
[4,3,2,1,6,5,8,7,10,9,12,11] => 92
[4,3,2,1,6,5,10,9,8,7,12,11] => 124
[12,3,2,5,4,11,8,7,10,9,6,1] => 108
[4,3,2,1,8,7,6,5,10,9,12,11] => 124
[6,3,2,5,4,1,8,7,10,9,12,11] => 108
[12,3,2,5,4,11,10,9,8,7,6,1] => 140
[10,3,2,5,4,7,6,9,8,1,12,11] => 92
[12,3,2,11,6,5,8,7,10,9,4,1] => 108
[4,3,2,1,10,7,6,9,8,5,12,11] => 140
[8,3,2,5,4,7,6,1,10,9,12,11] => 108
[12,3,2,11,6,5,10,9,8,7,4,1] => 140
[6,3,2,5,4,1,10,9,8,7,12,11] => 140
[12,3,2,11,8,7,6,5,10,9,4,1] => 140
[12,3,2,11,10,7,6,9,8,5,4,1] => 156
[12,11,4,3,6,5,10,9,8,7,2,1] => 124
[2,1,8,5,4,7,6,3,10,9,12,11] => 108
[2,1,4,3,10,7,6,9,8,5,12,11] => 108
[2,1,6,5,4,3,8,7,10,9,12,11] => 92
[2,1,4,3,8,7,6,5,10,9,12,11] => 92
[2,1,4,3,6,5,10,9,8,7,12,11] => 92
[2,1,4,3,6,5,8,7,10,9,12,11] => 60
[12,9,8,7,6,5,4,3,2,11,10,1] => 188
[12,9,8,5,4,7,6,3,2,11,10,1] => 156
[12,7,6,5,4,3,2,11,10,9,8,1] => 172
[12,11,8,7,6,5,4,3,10,9,2,1] => 172
[12,11,8,5,4,7,6,3,10,9,2,1] => 140
[8,5,4,3,2,7,6,1,10,9,12,11] => 140
[2,1,10,7,6,5,4,9,8,3,12,11] => 140
[12,11,10,7,6,5,4,9,8,3,2,1] => 172
[12,11,10,9,6,5,8,7,4,3,2,1] => 188
[12,11,4,3,8,7,6,5,10,9,2,1] => 124
[12,11,6,5,4,3,10,9,8,7,2,1] => 156
[12,11,4,3,10,7,6,9,8,5,2,1] => 140
[12,11,10,5,4,7,6,9,8,3,2,1] => 140
[12,11,4,3,10,9,8,7,6,5,2,1] => 172
[12,11,10,9,8,7,6,5,4,3,2,1] => 220
[12,11,10,5,4,9,8,7,6,3,2,1] => 172
[12,3,2,11,10,9,8,7,6,5,4,1] => 188
[12,5,4,3,2,11,10,9,8,7,6,1] => 172
[2,1,10,5,4,7,6,9,8,3,12,11] => 108
[2,5,7,9,10,12,1,3,4,6,8,11] => 64
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Description
The number of occurrences of one of the patterns 132, 213 or 321 in a permutation.
According to [1], this statistic was studied by Doron Gepner in the context of conformal field theory.
References
[1] Zeilberger, D. Doron Gepner's Statistics on Words in $\{$1,2,3$\}$ is (most probably) Asymptotically Logistic arXiv:1604.00663
Code
def statistic(pi):
    return len(pi.pattern_positions([1,3,2])) + len(pi.pattern_positions([2,1,3])) + len(pi.pattern_positions([3,2,1]))

Created
Apr 05, 2016 at 08:32 by Martin Rubey
Updated
May 12, 2020 at 15:15 by Martin Rubey