Identifier
Identifier
Values
[1,2] => 1
[2,1] => 1
[1,2,3] => 1
[1,3,2] => 1
[2,1,3] => 1
[2,3,1] => 1
[3,1,2] => 1
[3,2,1] => 1
[1,2,3,4] => 1
[1,2,4,3] => 1
[1,3,2,4] => 1
[1,3,4,2] => 1
[1,4,2,3] => 1
[1,4,3,2] => 1
[2,1,3,4] => 1
[2,1,4,3] => 1
[2,3,1,4] => 1
[2,3,4,1] => 1
[2,4,1,3] => 1
[2,4,3,1] => 1
[3,1,2,4] => 1
[3,1,4,2] => 1
[3,2,1,4] => 1
[3,2,4,1] => 1
[3,4,1,2] => 1
[3,4,2,1] => 1
[4,1,2,3] => 1
[4,1,3,2] => 1
[4,2,1,3] => 1
[4,2,3,1] => 1
[4,3,1,2] => 1
[4,3,2,1] => 1
[1,2,3,4,5] => 1
[1,2,3,5,4] => 1
[1,2,4,3,5] => 1
[1,2,4,5,3] => 1
[1,2,5,3,4] => 1
[1,2,5,4,3] => 1
[1,3,2,4,5] => 1
[1,3,2,5,4] => 1
[1,3,4,2,5] => 1
[1,3,4,5,2] => 1
[1,3,5,2,4] => 2
[1,3,5,4,2] => 1
[1,4,2,3,5] => 1
[1,4,2,5,3] => 2
[1,4,3,2,5] => 1
[1,4,3,5,2] => 1
[1,4,5,2,3] => 1
[1,4,5,3,2] => 1
[1,5,2,3,4] => 1
[1,5,2,4,3] => 1
[1,5,3,2,4] => 1
[1,5,3,4,2] => 1
[1,5,4,2,3] => 1
[1,5,4,3,2] => 1
[2,1,3,4,5] => 1
[2,1,3,5,4] => 1
[2,1,4,3,5] => 1
[2,1,4,5,3] => 1
[2,1,5,3,4] => 1
[2,1,5,4,3] => 1
[2,3,1,4,5] => 1
[2,3,1,5,4] => 1
[2,3,4,1,5] => 1
[2,3,4,5,1] => 1
[2,3,5,1,4] => 1
[2,3,5,4,1] => 1
[2,4,1,3,5] => 2
[2,4,1,5,3] => 1
[2,4,3,1,5] => 1
[2,4,3,5,1] => 1
[2,4,5,1,3] => 1
[2,4,5,3,1] => 1
[2,5,1,3,4] => 1
[2,5,1,4,3] => 1
[2,5,3,1,4] => 2
[2,5,3,4,1] => 1
[2,5,4,1,3] => 1
[2,5,4,3,1] => 1
[3,1,2,4,5] => 1
[3,1,2,5,4] => 1
[3,1,4,2,5] => 2
[3,1,4,5,2] => 1
[3,1,5,2,4] => 1
[3,1,5,4,2] => 1
[3,2,1,4,5] => 1
[3,2,1,5,4] => 1
[3,2,4,1,5] => 1
[3,2,4,5,1] => 1
[3,2,5,1,4] => 1
[3,2,5,4,1] => 1
[3,4,1,2,5] => 1
[3,4,1,5,2] => 1
[3,4,2,1,5] => 1
[3,4,2,5,1] => 1
[3,4,5,1,2] => 1
[3,4,5,2,1] => 1
[3,5,1,2,4] => 1
[3,5,1,4,2] => 1
[3,5,2,1,4] => 1
[3,5,2,4,1] => 2
[3,5,4,1,2] => 1
[3,5,4,2,1] => 1
[4,1,2,3,5] => 1
[4,1,2,5,3] => 1
[4,1,3,2,5] => 1
[4,1,3,5,2] => 2
[4,1,5,2,3] => 1
[4,1,5,3,2] => 1
[4,2,1,3,5] => 1
[4,2,1,5,3] => 1
[4,2,3,1,5] => 1
[4,2,3,5,1] => 1
[4,2,5,1,3] => 1
[4,2,5,3,1] => 2
[4,3,1,2,5] => 1
[4,3,1,5,2] => 1
[4,3,2,1,5] => 1
[4,3,2,5,1] => 1
[4,3,5,1,2] => 1
[4,3,5,2,1] => 1
[4,5,1,2,3] => 1
[4,5,1,3,2] => 1
[4,5,2,1,3] => 1
[4,5,2,3,1] => 1
[4,5,3,1,2] => 1
[4,5,3,2,1] => 1
[5,1,2,3,4] => 1
[5,1,2,4,3] => 1
[5,1,3,2,4] => 1
[5,1,3,4,2] => 1
[5,1,4,2,3] => 1
[5,1,4,3,2] => 1
[5,2,1,3,4] => 1
[5,2,1,4,3] => 1
[5,2,3,1,4] => 1
[5,2,3,4,1] => 1
[5,2,4,1,3] => 2
[5,2,4,3,1] => 1
[5,3,1,2,4] => 1
[5,3,1,4,2] => 2
[5,3,2,1,4] => 1
[5,3,2,4,1] => 1
[5,3,4,1,2] => 1
[5,3,4,2,1] => 1
[5,4,1,2,3] => 1
[5,4,1,3,2] => 1
[5,4,2,1,3] => 1
[5,4,2,3,1] => 1
[5,4,3,1,2] => 1
[5,4,3,2,1] => 1
[1,2,3,4,5,6] => 1
[1,2,3,4,6,5] => 1
[1,2,3,5,4,6] => 1
[1,2,3,5,6,4] => 1
[1,2,3,6,4,5] => 1
[1,2,3,6,5,4] => 1
[1,2,4,3,5,6] => 1
[1,2,4,3,6,5] => 1
[1,2,4,5,3,6] => 1
[1,2,4,5,6,3] => 1
[1,2,4,6,3,5] => 1
[1,2,4,6,5,3] => 1
[1,2,5,3,4,6] => 1
[1,2,5,3,6,4] => 1
[1,2,5,4,3,6] => 1
[1,2,5,4,6,3] => 1
[1,2,5,6,3,4] => 1
[1,2,5,6,4,3] => 1
[1,2,6,3,4,5] => 1
[1,2,6,3,5,4] => 1
[1,2,6,4,3,5] => 1
[1,2,6,4,5,3] => 1
[1,2,6,5,3,4] => 1
[1,2,6,5,4,3] => 1
[1,3,2,4,5,6] => 1
[1,3,2,4,6,5] => 1
[1,3,2,5,4,6] => 1
[1,3,2,5,6,4] => 1
[1,3,2,6,4,5] => 1
[1,3,2,6,5,4] => 1
[1,3,4,2,5,6] => 1
[1,3,4,2,6,5] => 1
[1,3,4,5,2,6] => 1
[1,3,4,5,6,2] => 1
[1,3,4,6,2,5] => 1
[1,3,4,6,5,2] => 1
[1,3,5,2,4,6] => 2
[1,3,5,2,6,4] => 2
[1,3,5,4,2,6] => 1
[1,3,5,4,6,2] => 1
[1,3,5,6,2,4] => 1
[1,3,5,6,4,2] => 1
[1,3,6,2,4,5] => 1
[1,3,6,2,5,4] => 1
[1,3,6,4,2,5] => 2
[1,3,6,4,5,2] => 1
[1,3,6,5,2,4] => 1
[1,3,6,5,4,2] => 1
[1,4,2,3,5,6] => 1
[1,4,2,3,6,5] => 1
[1,4,2,5,3,6] => 2
[1,4,2,5,6,3] => 1
[1,4,2,6,3,5] => 2
[1,4,2,6,5,3] => 1
[1,4,3,2,5,6] => 1
[1,4,3,2,6,5] => 1
[1,4,3,5,2,6] => 1
[1,4,3,5,6,2] => 1
[1,4,3,6,2,5] => 1
[1,4,3,6,5,2] => 1
[1,4,5,2,3,6] => 1
[1,4,5,2,6,3] => 1
[1,4,5,3,2,6] => 1
[1,4,5,3,6,2] => 1
[1,4,5,6,2,3] => 1
[1,4,5,6,3,2] => 1
[1,4,6,2,3,5] => 1
[1,4,6,2,5,3] => 2
[1,4,6,3,2,5] => 1
[1,4,6,3,5,2] => 1
[1,4,6,5,2,3] => 1
[1,4,6,5,3,2] => 1
[1,5,2,3,4,6] => 1
[1,5,2,3,6,4] => 1
[1,5,2,4,3,6] => 1
[1,5,2,4,6,3] => 2
[1,5,2,6,3,4] => 1
[1,5,2,6,4,3] => 1
[1,5,3,2,4,6] => 1
[1,5,3,2,6,4] => 1
[1,5,3,4,2,6] => 1
[1,5,3,4,6,2] => 1
[1,5,3,6,2,4] => 2
[1,5,3,6,4,2] => 1
[1,5,4,2,3,6] => 1
[1,5,4,2,6,3] => 1
[1,5,4,3,2,6] => 1
[1,5,4,3,6,2] => 1
[1,5,4,6,2,3] => 1
[1,5,4,6,3,2] => 1
[1,5,6,2,3,4] => 1
[1,5,6,2,4,3] => 1
[1,5,6,3,2,4] => 1
[1,5,6,3,4,2] => 1
[1,5,6,4,2,3] => 1
[1,5,6,4,3,2] => 1
[1,6,2,3,4,5] => 1
[1,6,2,3,5,4] => 1
[1,6,2,4,3,5] => 1
[1,6,2,4,5,3] => 1
[1,6,2,5,3,4] => 1
[1,6,2,5,4,3] => 1
[1,6,3,2,4,5] => 1
[1,6,3,2,5,4] => 1
[1,6,3,4,2,5] => 1
[1,6,3,4,5,2] => 1
[1,6,3,5,2,4] => 2
[1,6,3,5,4,2] => 1
[1,6,4,2,3,5] => 1
[1,6,4,2,5,3] => 2
[1,6,4,3,2,5] => 1
[1,6,4,3,5,2] => 1
[1,6,4,5,2,3] => 1
[1,6,4,5,3,2] => 1
[1,6,5,2,3,4] => 1
[1,6,5,2,4,3] => 1
[1,6,5,3,2,4] => 1
[1,6,5,3,4,2] => 1
[1,6,5,4,2,3] => 1
[1,6,5,4,3,2] => 1
[2,1,3,4,5,6] => 1
[2,1,3,4,6,5] => 1
[2,1,3,5,4,6] => 1
[2,1,3,5,6,4] => 1
[2,1,3,6,4,5] => 1
[2,1,3,6,5,4] => 1
[2,1,4,3,5,6] => 1
[2,1,4,3,6,5] => 1
[2,1,4,5,3,6] => 1
[2,1,4,5,6,3] => 1
[2,1,4,6,3,5] => 1
[2,1,4,6,5,3] => 1
[2,1,5,3,4,6] => 1
[2,1,5,3,6,4] => 1
[2,1,5,4,3,6] => 1
[2,1,5,4,6,3] => 1
[2,1,5,6,3,4] => 1
[2,1,5,6,4,3] => 1
[2,1,6,3,4,5] => 1
[2,1,6,3,5,4] => 1
[2,1,6,4,3,5] => 1
[2,1,6,4,5,3] => 1
[2,1,6,5,3,4] => 1
[2,1,6,5,4,3] => 1
[2,3,1,4,5,6] => 1
[2,3,1,4,6,5] => 1
[2,3,1,5,4,6] => 1
[2,3,1,5,6,4] => 1
[2,3,1,6,4,5] => 1
[2,3,1,6,5,4] => 1
[2,3,4,1,5,6] => 1
[2,3,4,1,6,5] => 1
[2,3,4,5,1,6] => 1
[2,3,4,5,6,1] => 1
[2,3,4,6,1,5] => 1
[2,3,4,6,5,1] => 1
[2,3,5,1,4,6] => 1
[2,3,5,1,6,4] => 1
[2,3,5,4,1,6] => 1
[2,3,5,4,6,1] => 1
[2,3,5,6,1,4] => 1
[2,3,5,6,4,1] => 1
[2,3,6,1,4,5] => 1
[2,3,6,1,5,4] => 1
[2,3,6,4,1,5] => 1
[2,3,6,4,5,1] => 1
[2,3,6,5,1,4] => 1
[2,3,6,5,4,1] => 1
[2,4,1,3,5,6] => 1
[2,4,1,3,6,5] => 1
[2,4,1,5,3,6] => 2
[2,4,1,5,6,3] => 1
[2,4,1,6,3,5] => 2
[2,4,1,6,5,3] => 1
[2,4,3,1,5,6] => 1
[2,4,3,1,6,5] => 1
[2,4,3,5,1,6] => 1
[2,4,3,5,6,1] => 1
[2,4,3,6,1,5] => 1
[2,4,3,6,5,1] => 1
[2,4,5,1,3,6] => 1
[2,4,5,1,6,3] => 1
[2,4,5,3,1,6] => 1
[2,4,5,3,6,1] => 1
[2,4,5,6,1,3] => 1
[2,4,5,6,3,1] => 1
[2,4,6,1,3,5] => 2
[2,4,6,1,5,3] => 1
[2,4,6,3,1,5] => 2
[2,4,6,3,5,1] => 1
[2,4,6,5,1,3] => 1
[2,4,6,5,3,1] => 1
[2,5,1,3,4,6] => 1
[2,5,1,3,6,4] => 2
[2,5,1,4,3,6] => 1
[2,5,1,4,6,3] => 1
[2,5,1,6,3,4] => 1
[2,5,1,6,4,3] => 1
[2,5,3,1,4,6] => 2
[2,5,3,1,6,4] => 2
[2,5,3,4,1,6] => 1
[2,5,3,4,6,1] => 1
[2,5,3,6,1,4] => 2
[2,5,3,6,4,1] => 1
[2,5,4,1,3,6] => 1
[2,5,4,1,6,3] => 1
[2,5,4,3,1,6] => 1
[2,5,4,3,6,1] => 1
[2,5,4,6,1,3] => 1
[2,5,4,6,3,1] => 1
[2,5,6,1,3,4] => 1
[2,5,6,1,4,3] => 1
[2,5,6,3,1,4] => 1
[2,5,6,3,4,1] => 1
[2,5,6,4,1,3] => 1
[2,5,6,4,3,1] => 1
[2,6,1,3,4,5] => 1
[2,6,1,3,5,4] => 1
[2,6,1,4,3,5] => 1
[2,6,1,4,5,3] => 1
[2,6,1,5,3,4] => 1
[2,6,1,5,4,3] => 1
[2,6,3,1,4,5] => 1
[2,6,3,1,5,4] => 1
[2,6,3,4,1,5] => 1
[2,6,3,4,5,1] => 1
[2,6,3,5,1,4] => 2
[2,6,3,5,4,1] => 1
[2,6,4,1,3,5] => 2
[2,6,4,1,5,3] => 1
[2,6,4,3,1,5] => 1
[2,6,4,3,5,1] => 1
[2,6,4,5,1,3] => 1
[2,6,4,5,3,1] => 1
[2,6,5,1,3,4] => 1
[2,6,5,1,4,3] => 1
[2,6,5,3,1,4] => 1
[2,6,5,3,4,1] => 1
[2,6,5,4,1,3] => 1
[2,6,5,4,3,1] => 1
[3,1,2,4,5,6] => 1
[3,1,2,4,6,5] => 1
[3,1,2,5,4,6] => 1
[3,1,2,5,6,4] => 1
[3,1,2,6,4,5] => 1
[3,1,2,6,5,4] => 1
[3,1,4,2,5,6] => 1
[3,1,4,2,6,5] => 1
[3,1,4,5,2,6] => 1
[3,1,4,5,6,2] => 1
[3,1,4,6,2,5] => 2
[3,1,4,6,5,2] => 1
[3,1,5,2,4,6] => 2
[3,1,5,2,6,4] => 1
[3,1,5,4,2,6] => 1
[3,1,5,4,6,2] => 1
[3,1,5,6,2,4] => 1
[3,1,5,6,4,2] => 1
[3,1,6,2,4,5] => 1
[3,1,6,2,5,4] => 1
[3,1,6,4,2,5] => 2
[3,1,6,4,5,2] => 1
[3,1,6,5,2,4] => 1
[3,1,6,5,4,2] => 1
[3,2,1,4,5,6] => 1
[3,2,1,4,6,5] => 1
[3,2,1,5,4,6] => 1
[3,2,1,5,6,4] => 1
[3,2,1,6,4,5] => 1
[3,2,1,6,5,4] => 1
[3,2,4,1,5,6] => 1
[3,2,4,1,6,5] => 1
[3,2,4,5,1,6] => 1
[3,2,4,5,6,1] => 1
[3,2,4,6,1,5] => 1
[3,2,4,6,5,1] => 1
[3,2,5,1,4,6] => 1
[3,2,5,1,6,4] => 1
[3,2,5,4,1,6] => 1
[3,2,5,4,6,1] => 1
[3,2,5,6,1,4] => 1
[3,2,5,6,4,1] => 1
[3,2,6,1,4,5] => 1
[3,2,6,1,5,4] => 1
[3,2,6,4,1,5] => 1
[3,2,6,4,5,1] => 1
[3,2,6,5,1,4] => 1
[3,2,6,5,4,1] => 1
[3,4,1,2,5,6] => 1
[3,4,1,2,6,5] => 1
[3,4,1,5,2,6] => 1
[3,4,1,5,6,2] => 1
[3,4,1,6,2,5] => 1
[3,4,1,6,5,2] => 1
[3,4,2,1,5,6] => 1
[3,4,2,1,6,5] => 1
[3,4,2,5,1,6] => 1
[3,4,2,5,6,1] => 1
[3,4,2,6,1,5] => 1
[3,4,2,6,5,1] => 1
[3,4,5,1,2,6] => 1
[3,4,5,1,6,2] => 1
[3,4,5,2,1,6] => 1
[3,4,5,2,6,1] => 1
[3,4,5,6,1,2] => 1
[3,4,5,6,2,1] => 1
[3,4,6,1,2,5] => 1
[3,4,6,1,5,2] => 1
[3,4,6,2,1,5] => 1
[3,4,6,2,5,1] => 1
[3,4,6,5,1,2] => 1
[3,4,6,5,2,1] => 1
[3,5,1,2,4,6] => 1
[3,5,1,2,6,4] => 1
[3,5,1,4,2,6] => 2
[3,5,1,4,6,2] => 1
[3,5,1,6,2,4] => 1
[3,5,1,6,4,2] => 1
[3,5,2,1,4,6] => 1
[3,5,2,1,6,4] => 1
[3,5,2,4,1,6] => 2
[3,5,2,4,6,1] => 2
[3,5,2,6,1,4] => 1
[3,5,2,6,4,1] => 2
[3,5,4,1,2,6] => 1
[3,5,4,1,6,2] => 1
[3,5,4,2,1,6] => 1
[3,5,4,2,6,1] => 1
[3,5,4,6,1,2] => 1
[3,5,4,6,2,1] => 1
[3,5,6,1,2,4] => 1
[3,5,6,1,4,2] => 1
[3,5,6,2,1,4] => 1
[3,5,6,2,4,1] => 1
[3,5,6,4,1,2] => 1
[3,5,6,4,2,1] => 1
[3,6,1,2,4,5] => 1
[3,6,1,2,5,4] => 1
[3,6,1,4,2,5] => 2
[3,6,1,4,5,2] => 1
[3,6,1,5,2,4] => 1
[3,6,1,5,4,2] => 1
[3,6,2,1,4,5] => 1
[3,6,2,1,5,4] => 1
[3,6,2,4,1,5] => 2
[3,6,2,4,5,1] => 1
[3,6,2,5,1,4] => 1
[3,6,2,5,4,1] => 1
[3,6,4,1,2,5] => 1
[3,6,4,1,5,2] => 1
[3,6,4,2,1,5] => 1
[3,6,4,2,5,1] => 2
[3,6,4,5,1,2] => 1
[3,6,4,5,2,1] => 1
[3,6,5,1,2,4] => 1
[3,6,5,1,4,2] => 1
[3,6,5,2,1,4] => 1
[3,6,5,2,4,1] => 1
[3,6,5,4,1,2] => 1
[3,6,5,4,2,1] => 1
[4,1,2,3,5,6] => 1
[4,1,2,3,6,5] => 1
[4,1,2,5,3,6] => 1
[4,1,2,5,6,3] => 1
[4,1,2,6,3,5] => 1
[4,1,2,6,5,3] => 1
[4,1,3,2,5,6] => 1
[4,1,3,2,6,5] => 1
[4,1,3,5,2,6] => 2
[4,1,3,5,6,2] => 1
[4,1,3,6,2,5] => 1
[4,1,3,6,5,2] => 1
[4,1,5,2,3,6] => 1
[4,1,5,2,6,3] => 1
[4,1,5,3,2,6] => 1
[4,1,5,3,6,2] => 2
[4,1,5,6,2,3] => 1
[4,1,5,6,3,2] => 1
[4,1,6,2,3,5] => 1
[4,1,6,2,5,3] => 1
[4,1,6,3,2,5] => 1
[4,1,6,3,5,2] => 2
[4,1,6,5,2,3] => 1
[4,1,6,5,3,2] => 1
[4,2,1,3,5,6] => 1
[4,2,1,3,6,5] => 1
[4,2,1,5,3,6] => 1
[4,2,1,5,6,3] => 1
[4,2,1,6,3,5] => 1
[4,2,1,6,5,3] => 1
[4,2,3,1,5,6] => 1
[4,2,3,1,6,5] => 1
[4,2,3,5,1,6] => 1
[4,2,3,5,6,1] => 1
[4,2,3,6,1,5] => 1
[4,2,3,6,5,1] => 1
[4,2,5,1,3,6] => 2
[4,2,5,1,6,3] => 1
[4,2,5,3,1,6] => 2
[4,2,5,3,6,1] => 2
[4,2,5,6,1,3] => 1
[4,2,5,6,3,1] => 1
[4,2,6,1,3,5] => 1
[4,2,6,1,5,3] => 1
[4,2,6,3,1,5] => 1
[4,2,6,3,5,1] => 2
[4,2,6,5,1,3] => 1
[4,2,6,5,3,1] => 1
[4,3,1,2,5,6] => 1
[4,3,1,2,6,5] => 1
[4,3,1,5,2,6] => 1
[4,3,1,5,6,2] => 1
[4,3,1,6,2,5] => 1
[4,3,1,6,5,2] => 1
[4,3,2,1,5,6] => 1
[4,3,2,1,6,5] => 1
[4,3,2,5,1,6] => 1
[4,3,2,5,6,1] => 1
[4,3,2,6,1,5] => 1
[4,3,2,6,5,1] => 1
[4,3,5,1,2,6] => 1
[4,3,5,1,6,2] => 1
[4,3,5,2,1,6] => 1
[4,3,5,2,6,1] => 1
[4,3,5,6,1,2] => 1
[4,3,5,6,2,1] => 1
[4,3,6,1,2,5] => 1
[4,3,6,1,5,2] => 1
[4,3,6,2,1,5] => 1
[4,3,6,2,5,1] => 1
[4,3,6,5,1,2] => 1
[4,3,6,5,2,1] => 1
[4,5,1,2,3,6] => 1
[4,5,1,2,6,3] => 1
[4,5,1,3,2,6] => 1
[4,5,1,3,6,2] => 1
[4,5,1,6,2,3] => 1
[4,5,1,6,3,2] => 1
[4,5,2,1,3,6] => 1
[4,5,2,1,6,3] => 1
[4,5,2,3,1,6] => 1
[4,5,2,3,6,1] => 1
[4,5,2,6,1,3] => 1
[4,5,2,6,3,1] => 1
[4,5,3,1,2,6] => 1
[4,5,3,1,6,2] => 1
[4,5,3,2,1,6] => 1
[4,5,3,2,6,1] => 1
[4,5,3,6,1,2] => 1
[4,5,3,6,2,1] => 1
[4,5,6,1,2,3] => 1
[4,5,6,1,3,2] => 1
[4,5,6,2,1,3] => 1
[4,5,6,2,3,1] => 1
[4,5,6,3,1,2] => 1
[4,5,6,3,2,1] => 1
[4,6,1,2,3,5] => 1
[4,6,1,2,5,3] => 1
[4,6,1,3,2,5] => 1
[4,6,1,3,5,2] => 2
[4,6,1,5,2,3] => 1
[4,6,1,5,3,2] => 1
[4,6,2,1,3,5] => 1
[4,6,2,1,5,3] => 1
[4,6,2,3,1,5] => 1
[4,6,2,3,5,1] => 1
[4,6,2,5,1,3] => 1
[4,6,2,5,3,1] => 2
[4,6,3,1,2,5] => 1
[4,6,3,1,5,2] => 2
[4,6,3,2,1,5] => 1
[4,6,3,2,5,1] => 1
[4,6,3,5,1,2] => 1
[4,6,3,5,2,1] => 1
[4,6,5,1,2,3] => 1
[4,6,5,1,3,2] => 1
[4,6,5,2,1,3] => 1
[4,6,5,2,3,1] => 1
[4,6,5,3,1,2] => 1
[4,6,5,3,2,1] => 1
[5,1,2,3,4,6] => 1
[5,1,2,3,6,4] => 1
[5,1,2,4,3,6] => 1
[5,1,2,4,6,3] => 1
[5,1,2,6,3,4] => 1
[5,1,2,6,4,3] => 1
[5,1,3,2,4,6] => 1
[5,1,3,2,6,4] => 1
[5,1,3,4,2,6] => 1
[5,1,3,4,6,2] => 1
[5,1,3,6,2,4] => 1
[5,1,3,6,4,2] => 2
[5,1,4,2,3,6] => 1
[5,1,4,2,6,3] => 2
[5,1,4,3,2,6] => 1
[5,1,4,3,6,2] => 1
[5,1,4,6,2,3] => 1
[5,1,4,6,3,2] => 1
[5,1,6,2,3,4] => 1
[5,1,6,2,4,3] => 1
[5,1,6,3,2,4] => 1
[5,1,6,3,4,2] => 1
[5,1,6,4,2,3] => 1
[5,1,6,4,3,2] => 1
[5,2,1,3,4,6] => 1
[5,2,1,3,6,4] => 1
[5,2,1,4,3,6] => 1
[5,2,1,4,6,3] => 1
[5,2,1,6,3,4] => 1
[5,2,1,6,4,3] => 1
[5,2,3,1,4,6] => 1
[5,2,3,1,6,4] => 1
[5,2,3,4,1,6] => 1
[5,2,3,4,6,1] => 1
[5,2,3,6,1,4] => 1
[5,2,3,6,4,1] => 1
[5,2,4,1,3,6] => 1
[5,2,4,1,6,3] => 2
[5,2,4,3,1,6] => 1
[5,2,4,3,6,1] => 1
[5,2,4,6,1,3] => 2
[5,2,4,6,3,1] => 2
[5,2,6,1,3,4] => 1
[5,2,6,1,4,3] => 1
[5,2,6,3,1,4] => 1
[5,2,6,3,4,1] => 1
[5,2,6,4,1,3] => 2
[5,2,6,4,3,1] => 1
[5,3,1,2,4,6] => 1
[5,3,1,2,6,4] => 1
[5,3,1,4,2,6] => 1
[5,3,1,4,6,2] => 2
[5,3,1,6,2,4] => 1
[5,3,1,6,4,2] => 2
[5,3,2,1,4,6] => 1
[5,3,2,1,6,4] => 1
[5,3,2,4,1,6] => 1
[5,3,2,4,6,1] => 1
[5,3,2,6,1,4] => 1
[5,3,2,6,4,1] => 1
[5,3,4,1,2,6] => 1
[5,3,4,1,6,2] => 1
[5,3,4,2,1,6] => 1
[5,3,4,2,6,1] => 1
[5,3,4,6,1,2] => 1
[5,3,4,6,2,1] => 1
[5,3,6,1,2,4] => 1
[5,3,6,1,4,2] => 2
[5,3,6,2,1,4] => 1
[5,3,6,2,4,1] => 2
[5,3,6,4,1,2] => 1
[5,3,6,4,2,1] => 1
[5,4,1,2,3,6] => 1
[5,4,1,2,6,3] => 1
[5,4,1,3,2,6] => 1
[5,4,1,3,6,2] => 1
[5,4,1,6,2,3] => 1
[5,4,1,6,3,2] => 1
[5,4,2,1,3,6] => 1
[5,4,2,1,6,3] => 1
[5,4,2,3,1,6] => 1
[5,4,2,3,6,1] => 1
[5,4,2,6,1,3] => 1
[5,4,2,6,3,1] => 1
[5,4,3,1,2,6] => 1
[5,4,3,1,6,2] => 1
[5,4,3,2,1,6] => 1
[5,4,3,2,6,1] => 1
[5,4,3,6,1,2] => 1
[5,4,3,6,2,1] => 1
[5,4,6,1,2,3] => 1
[5,4,6,1,3,2] => 1
[5,4,6,2,1,3] => 1
[5,4,6,2,3,1] => 1
[5,4,6,3,1,2] => 1
[5,4,6,3,2,1] => 1
[5,6,1,2,3,4] => 1
[5,6,1,2,4,3] => 1
[5,6,1,3,2,4] => 1
[5,6,1,3,4,2] => 1
[5,6,1,4,2,3] => 1
[5,6,1,4,3,2] => 1
[5,6,2,1,3,4] => 1
[5,6,2,1,4,3] => 1
[5,6,2,3,1,4] => 1
[5,6,2,3,4,1] => 1
[5,6,2,4,1,3] => 1
[5,6,2,4,3,1] => 1
[5,6,3,1,2,4] => 1
[5,6,3,1,4,2] => 1
[5,6,3,2,1,4] => 1
[5,6,3,2,4,1] => 1
[5,6,3,4,1,2] => 1
[5,6,3,4,2,1] => 1
[5,6,4,1,2,3] => 1
[5,6,4,1,3,2] => 1
[5,6,4,2,1,3] => 1
[5,6,4,2,3,1] => 1
[5,6,4,3,1,2] => 1
[5,6,4,3,2,1] => 1
[6,1,2,3,4,5] => 1
[6,1,2,3,5,4] => 1
[6,1,2,4,3,5] => 1
[6,1,2,4,5,3] => 1
[6,1,2,5,3,4] => 1
[6,1,2,5,4,3] => 1
[6,1,3,2,4,5] => 1
[6,1,3,2,5,4] => 1
[6,1,3,4,2,5] => 1
[6,1,3,4,5,2] => 1
[6,1,3,5,2,4] => 2
[6,1,3,5,4,2] => 1
[6,1,4,2,3,5] => 1
[6,1,4,2,5,3] => 2
[6,1,4,3,2,5] => 1
[6,1,4,3,5,2] => 1
[6,1,4,5,2,3] => 1
[6,1,4,5,3,2] => 1
[6,1,5,2,3,4] => 1
[6,1,5,2,4,3] => 1
[6,1,5,3,2,4] => 1
[6,1,5,3,4,2] => 1
[6,1,5,4,2,3] => 1
[6,1,5,4,3,2] => 1
[6,2,1,3,4,5] => 1
[6,2,1,3,5,4] => 1
[6,2,1,4,3,5] => 1
[6,2,1,4,5,3] => 1
[6,2,1,5,3,4] => 1
[6,2,1,5,4,3] => 1
[6,2,3,1,4,5] => 1
[6,2,3,1,5,4] => 1
[6,2,3,4,1,5] => 1
[6,2,3,4,5,1] => 1
[6,2,3,5,1,4] => 1
[6,2,3,5,4,1] => 1
[6,2,4,1,3,5] => 1
[6,2,4,1,5,3] => 2
[6,2,4,3,1,5] => 1
[6,2,4,3,5,1] => 1
[6,2,4,5,1,3] => 1
[6,2,4,5,3,1] => 1
[6,2,5,1,3,4] => 1
[6,2,5,1,4,3] => 1
[6,2,5,3,1,4] => 2
[6,2,5,3,4,1] => 1
[6,2,5,4,1,3] => 1
[6,2,5,4,3,1] => 1
[6,3,1,2,4,5] => 1
[6,3,1,2,5,4] => 1
[6,3,1,4,2,5] => 1
[6,3,1,4,5,2] => 1
[6,3,1,5,2,4] => 2
[6,3,1,5,4,2] => 1
[6,3,2,1,4,5] => 1
[6,3,2,1,5,4] => 1
[6,3,2,4,1,5] => 1
[6,3,2,4,5,1] => 1
[6,3,2,5,1,4] => 1
[6,3,2,5,4,1] => 1
[6,3,4,1,2,5] => 1
[6,3,4,1,5,2] => 1
[6,3,4,2,1,5] => 1
[6,3,4,2,5,1] => 1
[6,3,4,5,1,2] => 1
[6,3,4,5,2,1] => 1
[6,3,5,1,2,4] => 1
[6,3,5,1,4,2] => 2
[6,3,5,2,1,4] => 1
[6,3,5,2,4,1] => 2
[6,3,5,4,1,2] => 1
[6,3,5,4,2,1] => 1
[6,4,1,2,3,5] => 1
[6,4,1,2,5,3] => 1
[6,4,1,3,2,5] => 1
[6,4,1,3,5,2] => 2
[6,4,1,5,2,3] => 1
[6,4,1,5,3,2] => 1
[6,4,2,1,3,5] => 1
[6,4,2,1,5,3] => 1
[6,4,2,3,1,5] => 1
[6,4,2,3,5,1] => 1
[6,4,2,5,1,3] => 2
[6,4,2,5,3,1] => 2
[6,4,3,1,2,5] => 1
[6,4,3,1,5,2] => 1
[6,4,3,2,1,5] => 1
[6,4,3,2,5,1] => 1
[6,4,3,5,1,2] => 1
[6,4,3,5,2,1] => 1
[6,4,5,1,2,3] => 1
[6,4,5,1,3,2] => 1
[6,4,5,2,1,3] => 1
[6,4,5,2,3,1] => 1
[6,4,5,3,1,2] => 1
[6,4,5,3,2,1] => 1
[6,5,1,2,3,4] => 1
[6,5,1,2,4,3] => 1
[6,5,1,3,2,4] => 1
[6,5,1,3,4,2] => 1
[6,5,1,4,2,3] => 1
[6,5,1,4,3,2] => 1
[6,5,2,1,3,4] => 1
[6,5,2,1,4,3] => 1
[6,5,2,3,1,4] => 1
[6,5,2,3,4,1] => 1
[6,5,2,4,1,3] => 1
[6,5,2,4,3,1] => 1
[6,5,3,1,2,4] => 1
[6,5,3,1,4,2] => 1
[6,5,3,2,1,4] => 1
[6,5,3,2,4,1] => 1
[6,5,3,4,1,2] => 1
[6,5,3,4,2,1] => 1
[6,5,4,1,2,3] => 1
[6,5,4,1,3,2] => 1
[6,5,4,2,1,3] => 1
[6,5,4,2,3,1] => 1
[6,5,4,3,1,2] => 1
[6,5,4,3,2,1] => 1
[1,2,3,4,5,6,7] => 1
[1,2,3,4,5,7,6] => 1
[1,2,3,4,6,5,7] => 1
[1,2,3,4,6,7,5] => 1
[1,2,3,4,7,5,6] => 1
[1,2,3,4,7,6,5] => 1
[1,2,3,5,4,6,7] => 1
[1,2,3,5,4,7,6] => 1
[1,2,3,5,6,4,7] => 1
[1,2,3,5,6,7,4] => 1
[1,2,3,5,7,4,6] => 1
[1,2,3,5,7,6,4] => 1
[1,2,3,6,4,5,7] => 1
[1,2,3,6,4,7,5] => 1
[1,2,3,6,5,4,7] => 1
[1,2,3,6,5,7,4] => 1
[1,2,3,6,7,4,5] => 1
[1,2,3,6,7,5,4] => 1
[1,2,3,7,4,5,6] => 1
[1,2,3,7,4,6,5] => 1
[1,2,3,7,5,4,6] => 1
[1,2,3,7,5,6,4] => 1
[1,2,3,7,6,4,5] => 1
[1,2,3,7,6,5,4] => 1
[1,2,4,3,5,6,7] => 1
[1,2,4,3,5,7,6] => 1
[1,2,4,3,6,5,7] => 1
[1,2,4,3,6,7,5] => 1
[1,2,4,3,7,5,6] => 1
[1,2,4,3,7,6,5] => 1
[1,2,4,5,3,6,7] => 1
[1,2,4,5,3,7,6] => 1
[1,2,4,5,6,3,7] => 1
[1,2,4,5,6,7,3] => 1
[1,2,4,5,7,3,6] => 1
[1,2,4,5,7,6,3] => 1
[1,2,4,6,3,5,7] => 1
[1,2,4,6,3,7,5] => 1
[1,2,4,6,5,3,7] => 1
[1,2,4,6,5,7,3] => 1
[1,2,4,6,7,3,5] => 1
[1,2,4,6,7,5,3] => 1
[1,2,4,7,3,5,6] => 1
[1,2,4,7,3,6,5] => 1
[1,2,4,7,5,3,6] => 1
[1,2,4,7,5,6,3] => 1
[1,2,4,7,6,3,5] => 1
[1,2,4,7,6,5,3] => 1
[1,2,5,3,4,6,7] => 1
[1,2,5,3,4,7,6] => 1
[1,2,5,3,6,4,7] => 1
[1,2,5,3,6,7,4] => 1
[1,2,5,3,7,4,6] => 1
[1,2,5,3,7,6,4] => 1
[1,2,5,4,3,6,7] => 1
[1,2,5,4,3,7,6] => 1
[1,2,5,4,6,3,7] => 1
[1,2,5,4,6,7,3] => 1
[1,2,5,4,7,3,6] => 1
[1,2,5,4,7,6,3] => 1
[1,2,5,6,3,4,7] => 1
[1,2,5,6,3,7,4] => 1
[1,2,5,6,4,3,7] => 1
[1,2,5,6,4,7,3] => 1
[1,2,5,6,7,3,4] => 1
[1,2,5,6,7,4,3] => 1
[1,2,5,7,3,4,6] => 1
[1,2,5,7,3,6,4] => 1
[1,2,5,7,4,3,6] => 1
[1,2,5,7,4,6,3] => 1
[1,2,5,7,6,3,4] => 1
[1,2,5,7,6,4,3] => 1
[1,2,6,3,4,5,7] => 1
[1,2,6,3,4,7,5] => 1
[1,2,6,3,5,4,7] => 1
[1,2,6,3,5,7,4] => 1
[1,2,6,3,7,4,5] => 1
[1,2,6,3,7,5,4] => 1
[1,2,6,4,3,5,7] => 1
[1,2,6,4,3,7,5] => 1
[1,2,6,4,5,3,7] => 1
[1,2,6,4,5,7,3] => 1
[1,2,6,4,7,3,5] => 1
[1,2,6,4,7,5,3] => 1
[1,2,6,5,3,4,7] => 1
[1,2,6,5,3,7,4] => 1
[1,2,6,5,4,3,7] => 1
[1,2,6,5,4,7,3] => 1
[1,2,6,5,7,3,4] => 1
[1,2,6,5,7,4,3] => 1
[1,2,6,7,3,4,5] => 1
[1,2,6,7,3,5,4] => 1
[1,2,6,7,4,3,5] => 1
[1,2,6,7,4,5,3] => 1
[1,2,6,7,5,3,4] => 1
[1,2,6,7,5,4,3] => 1
[1,2,7,3,4,5,6] => 1
[1,2,7,3,4,6,5] => 1
[1,2,7,3,5,4,6] => 1
[1,2,7,3,5,6,4] => 1
[1,2,7,3,6,4,5] => 1
[1,2,7,3,6,5,4] => 1
[1,2,7,4,3,5,6] => 1
[1,2,7,4,3,6,5] => 1
[1,2,7,4,5,3,6] => 1
[1,2,7,4,5,6,3] => 1
[1,2,7,4,6,3,5] => 1
[1,2,7,4,6,5,3] => 1
[1,2,7,5,3,4,6] => 1
[1,2,7,5,3,6,4] => 1
[1,2,7,5,4,3,6] => 1
[1,2,7,5,4,6,3] => 1
[1,2,7,5,6,3,4] => 1
[1,2,7,5,6,4,3] => 1
[1,2,7,6,3,4,5] => 1
[1,2,7,6,3,5,4] => 1
[1,2,7,6,4,3,5] => 1
[1,2,7,6,4,5,3] => 1
[1,2,7,6,5,3,4] => 1
[1,2,7,6,5,4,3] => 1
[1,3,2,4,5,6,7] => 1
[1,3,2,4,5,7,6] => 1
[1,3,2,4,6,5,7] => 1
[1,3,2,4,6,7,5] => 1
[1,3,2,4,7,5,6] => 1
[1,3,2,4,7,6,5] => 1
[1,3,2,5,4,6,7] => 1
[1,3,2,5,4,7,6] => 1
[1,3,2,5,6,4,7] => 1
[1,3,2,5,6,7,4] => 1
[1,3,2,5,7,4,6] => 1
[1,3,2,5,7,6,4] => 1
[1,3,2,6,4,5,7] => 1
[1,3,2,6,4,7,5] => 1
[1,3,2,6,5,4,7] => 1
[1,3,2,6,5,7,4] => 1
[1,3,2,6,7,4,5] => 1
[1,3,2,6,7,5,4] => 1
[1,3,2,7,4,5,6] => 1
[1,3,2,7,4,6,5] => 1
[1,3,2,7,5,4,6] => 1
[1,3,2,7,5,6,4] => 1
[1,3,2,7,6,4,5] => 1
[1,3,2,7,6,5,4] => 1
[1,3,4,2,5,6,7] => 1
[1,3,4,2,5,7,6] => 1
[1,3,4,2,6,5,7] => 1
[1,3,4,2,6,7,5] => 1
[1,3,4,2,7,5,6] => 1
[1,3,4,2,7,6,5] => 1
[1,3,4,5,2,6,7] => 1
[1,3,4,5,2,7,6] => 1
[1,3,4,5,6,2,7] => 1
[1,3,4,5,6,7,2] => 1
[1,3,4,5,7,2,6] => 1
[1,3,4,5,7,6,2] => 1
[1,3,4,6,2,5,7] => 1
[1,3,4,6,2,7,5] => 1
[1,3,4,6,5,2,7] => 1
[1,3,4,6,5,7,2] => 1
[1,3,4,6,7,2,5] => 1
[1,3,4,6,7,5,2] => 1
[1,3,4,7,2,5,6] => 1
[1,3,4,7,2,6,5] => 1
[1,3,4,7,5,2,6] => 1
[1,3,4,7,5,6,2] => 1
[1,3,4,7,6,2,5] => 1
[1,3,4,7,6,5,2] => 1
[1,3,5,2,4,6,7] => 1
[1,3,5,2,4,7,6] => 1
[1,3,5,2,6,4,7] => 2
[1,3,5,2,6,7,4] => 1
[1,3,5,2,7,4,6] => 2
[1,3,5,2,7,6,4] => 1
[1,3,5,4,2,6,7] => 1
[1,3,5,4,2,7,6] => 1
[1,3,5,4,6,2,7] => 1
[1,3,5,4,6,7,2] => 1
[1,3,5,4,7,2,6] => 1
[1,3,5,4,7,6,2] => 1
[1,3,5,6,2,4,7] => 1
[1,3,5,6,2,7,4] => 1
[1,3,5,6,4,2,7] => 1
[1,3,5,6,4,7,2] => 1
[1,3,5,6,7,2,4] => 1
[1,3,5,6,7,4,2] => 1
[1,3,5,7,2,4,6] => 2
[1,3,5,7,2,6,4] => 2
[1,3,5,7,4,2,6] => 2
[1,3,5,7,4,6,2] => 1
[1,3,5,7,6,2,4] => 1
[1,3,5,7,6,4,2] => 1
[1,3,6,2,4,5,7] => 1
[1,3,6,2,4,7,5] => 2
[1,3,6,2,5,4,7] => 1
[1,3,6,2,5,7,4] => 2
[1,3,6,2,7,4,5] => 1
[1,3,6,2,7,5,4] => 1
[1,3,6,4,2,5,7] => 2
[1,3,6,4,2,7,5] => 2
[1,3,6,4,5,2,7] => 1
[1,3,6,4,5,7,2] => 1
[1,3,6,4,7,2,5] => 2
[1,3,6,4,7,5,2] => 1
[1,3,6,5,2,4,7] => 1
[1,3,6,5,2,7,4] => 1
[1,3,6,5,4,2,7] => 1
[1,3,6,5,4,7,2] => 1
[1,3,6,5,7,2,4] => 1
[1,3,6,5,7,4,2] => 1
[1,3,6,7,2,4,5] => 1
[1,3,6,7,2,5,4] => 1
[1,3,6,7,4,2,5] => 1
[1,3,6,7,4,5,2] => 1
[1,3,6,7,5,2,4] => 1
[1,3,6,7,5,4,2] => 1
[1,3,7,2,4,5,6] => 1
[1,3,7,2,4,6,5] => 1
[1,3,7,2,5,4,6] => 1
[1,3,7,2,5,6,4] => 1
[1,3,7,2,6,4,5] => 1
[1,3,7,2,6,5,4] => 1
[1,3,7,4,2,5,6] => 1
[1,3,7,4,2,6,5] => 1
[1,3,7,4,5,2,6] => 1
[1,3,7,4,5,6,2] => 1
[1,3,7,4,6,2,5] => 2
[1,3,7,4,6,5,2] => 1
[1,3,7,5,2,4,6] => 2
[1,3,7,5,2,6,4] => 2
[1,3,7,5,4,2,6] => 1
[1,3,7,5,4,6,2] => 1
[1,3,7,5,6,2,4] => 1
[1,3,7,5,6,4,2] => 1
[1,3,7,6,2,4,5] => 1
[1,3,7,6,2,5,4] => 1
[1,3,7,6,4,2,5] => 1
[1,3,7,6,4,5,2] => 1
[1,3,7,6,5,2,4] => 1
[1,3,7,6,5,4,2] => 1
[1,4,2,3,5,6,7] => 1
[1,4,2,3,5,7,6] => 1
[1,4,2,3,6,5,7] => 1
[1,4,2,3,6,7,5] => 1
[1,4,2,3,7,5,6] => 1
[1,4,2,3,7,6,5] => 1
[1,4,2,5,3,6,7] => 1
[1,4,2,5,3,7,6] => 1
[1,4,2,5,6,3,7] => 1
[1,4,2,5,6,7,3] => 1
[1,4,2,5,7,3,6] => 2
[1,4,2,5,7,6,3] => 1
[1,4,2,6,3,5,7] => 2
[1,4,2,6,3,7,5] => 2
[1,4,2,6,5,3,7] => 1
[1,4,2,6,5,7,3] => 1
[1,4,2,6,7,3,5] => 1
[1,4,2,6,7,5,3] => 1
[1,4,2,7,3,5,6] => 1
[1,4,2,7,3,6,5] => 1
[1,4,2,7,5,3,6] => 2
[1,4,2,7,5,6,3] => 1
[1,4,2,7,6,3,5] => 1
[1,4,2,7,6,5,3] => 1
[1,4,3,2,5,6,7] => 1
[1,4,3,2,5,7,6] => 1
[1,4,3,2,6,5,7] => 1
[1,4,3,2,6,7,5] => 1
[1,4,3,2,7,5,6] => 1
[1,4,3,2,7,6,5] => 1
[1,4,3,5,2,6,7] => 1
[1,4,3,5,2,7,6] => 1
[1,4,3,5,6,2,7] => 1
[1,4,3,5,6,7,2] => 1
[1,4,3,5,7,2,6] => 1
[1,4,3,5,7,6,2] => 1
[1,4,3,6,2,5,7] => 1
[1,4,3,6,2,7,5] => 1
[1,4,3,6,5,2,7] => 1
[1,4,3,6,5,7,2] => 1
[1,4,3,6,7,2,5] => 1
[1,4,3,6,7,5,2] => 1
[1,4,3,7,2,5,6] => 1
[1,4,3,7,2,6,5] => 1
[1,4,3,7,5,2,6] => 1
[1,4,3,7,5,6,2] => 1
[1,4,3,7,6,2,5] => 1
[1,4,3,7,6,5,2] => 1
[1,4,5,2,3,6,7] => 1
[1,4,5,2,3,7,6] => 1
[1,4,5,2,6,3,7] => 1
[1,4,5,2,6,7,3] => 1
[1,4,5,2,7,3,6] => 1
[1,4,5,2,7,6,3] => 1
[1,4,5,3,2,6,7] => 1
[1,4,5,3,2,7,6] => 1
[1,4,5,3,6,2,7] => 1
[1,4,5,3,6,7,2] => 1
[1,4,5,3,7,2,6] => 1
[1,4,5,3,7,6,2] => 1
[1,4,5,6,2,3,7] => 1
[1,4,5,6,2,7,3] => 1
[1,4,5,6,3,2,7] => 1
[1,4,5,6,3,7,2] => 1
[1,4,5,6,7,2,3] => 1
[1,4,5,6,7,3,2] => 1
[1,4,5,7,2,3,6] => 1
[1,4,5,7,2,6,3] => 1
[1,4,5,7,3,2,6] => 1
[1,4,5,7,3,6,2] => 1
[1,4,5,7,6,2,3] => 1
[1,4,5,7,6,3,2] => 1
[1,4,6,2,3,5,7] => 1
[1,4,6,2,3,7,5] => 1
[1,4,6,2,5,3,7] => 2
[1,4,6,2,5,7,3] => 2
[1,4,6,2,7,3,5] => 2
[1,4,6,2,7,5,3] => 2
[1,4,6,3,2,5,7] => 1
[1,4,6,3,2,7,5] => 1
[1,4,6,3,5,2,7] => 2
[1,4,6,3,5,7,2] => 1
[1,4,6,3,7,2,5] => 2
[1,4,6,3,7,5,2] => 1
[1,4,6,5,2,3,7] => 1
[1,4,6,5,2,7,3] => 1
[1,4,6,5,3,2,7] => 1
click to show generating function       
Description
The neighbouring number of a permutation.
For a permutation $\pi$, this is
$$\min \big(\big\{|\pi(k)-\pi(k+1)|:k\in\{1,\ldots,n-1\}\big\}\cup \big\{|\pi(1) - \pi(n)|\big\}\big).$$
References
[1] van der Zypen, D. Neighboring number of a permutation MathOverflow:320452
Code
def statistic(pi):
    return min([abs(pi[i]-pi[i+1]) for i in range(len(pi)-1)] + [abs(pi[0]-pi[-1])])

Created
Jan 09, 2019 at 14:34 by Martin Rubey
Updated
Jan 09, 2019 at 14:34 by Martin Rubey