Identifier
- St000740: Permutations ⟶ ℤ
Values
[1] => 1
[1,2] => 2
[2,1] => 1
[1,2,3] => 3
[1,3,2] => 2
[2,1,3] => 3
[2,3,1] => 1
[3,1,2] => 2
[3,2,1] => 1
[1,2,3,4] => 4
[1,2,4,3] => 3
[1,3,2,4] => 4
[1,3,4,2] => 2
[1,4,2,3] => 3
[1,4,3,2] => 2
[2,1,3,4] => 4
[2,1,4,3] => 3
[2,3,1,4] => 4
[2,3,4,1] => 1
[2,4,1,3] => 3
[2,4,3,1] => 1
[3,1,2,4] => 4
[3,1,4,2] => 2
[3,2,1,4] => 4
[3,2,4,1] => 1
[3,4,1,2] => 2
[3,4,2,1] => 1
[4,1,2,3] => 3
[4,1,3,2] => 2
[4,2,1,3] => 3
[4,2,3,1] => 1
[4,3,1,2] => 2
[4,3,2,1] => 1
[1,2,3,4,5] => 5
[1,2,3,5,4] => 4
[1,2,4,3,5] => 5
[1,2,4,5,3] => 3
[1,2,5,3,4] => 4
[1,2,5,4,3] => 3
[1,3,2,4,5] => 5
[1,3,2,5,4] => 4
[1,3,4,2,5] => 5
[1,3,4,5,2] => 2
[1,3,5,2,4] => 4
[1,3,5,4,2] => 2
[1,4,2,3,5] => 5
[1,4,2,5,3] => 3
[1,4,3,2,5] => 5
[1,4,3,5,2] => 2
[1,4,5,2,3] => 3
[1,4,5,3,2] => 2
[1,5,2,3,4] => 4
[1,5,2,4,3] => 3
[1,5,3,2,4] => 4
[1,5,3,4,2] => 2
[1,5,4,2,3] => 3
[1,5,4,3,2] => 2
[2,1,3,4,5] => 5
[2,1,3,5,4] => 4
[2,1,4,3,5] => 5
[2,1,4,5,3] => 3
[2,1,5,3,4] => 4
[2,1,5,4,3] => 3
[2,3,1,4,5] => 5
[2,3,1,5,4] => 4
[2,3,4,1,5] => 5
[2,3,4,5,1] => 1
[2,3,5,1,4] => 4
[2,3,5,4,1] => 1
[2,4,1,3,5] => 5
[2,4,1,5,3] => 3
[2,4,3,1,5] => 5
[2,4,3,5,1] => 1
[2,4,5,1,3] => 3
[2,4,5,3,1] => 1
[2,5,1,3,4] => 4
[2,5,1,4,3] => 3
[2,5,3,1,4] => 4
[2,5,3,4,1] => 1
[2,5,4,1,3] => 3
[2,5,4,3,1] => 1
[3,1,2,4,5] => 5
[3,1,2,5,4] => 4
[3,1,4,2,5] => 5
[3,1,4,5,2] => 2
[3,1,5,2,4] => 4
[3,1,5,4,2] => 2
[3,2,1,4,5] => 5
[3,2,1,5,4] => 4
[3,2,4,1,5] => 5
[3,2,4,5,1] => 1
[3,2,5,1,4] => 4
[3,2,5,4,1] => 1
[3,4,1,2,5] => 5
[3,4,1,5,2] => 2
[3,4,2,1,5] => 5
[3,4,2,5,1] => 1
[3,4,5,1,2] => 2
[3,4,5,2,1] => 1
[3,5,1,2,4] => 4
[3,5,1,4,2] => 2
>>> Load all 1201 entries. <<<[3,5,2,1,4] => 4
[3,5,2,4,1] => 1
[3,5,4,1,2] => 2
[3,5,4,2,1] => 1
[4,1,2,3,5] => 5
[4,1,2,5,3] => 3
[4,1,3,2,5] => 5
[4,1,3,5,2] => 2
[4,1,5,2,3] => 3
[4,1,5,3,2] => 2
[4,2,1,3,5] => 5
[4,2,1,5,3] => 3
[4,2,3,1,5] => 5
[4,2,3,5,1] => 1
[4,2,5,1,3] => 3
[4,2,5,3,1] => 1
[4,3,1,2,5] => 5
[4,3,1,5,2] => 2
[4,3,2,1,5] => 5
[4,3,2,5,1] => 1
[4,3,5,1,2] => 2
[4,3,5,2,1] => 1
[4,5,1,2,3] => 3
[4,5,1,3,2] => 2
[4,5,2,1,3] => 3
[4,5,2,3,1] => 1
[4,5,3,1,2] => 2
[4,5,3,2,1] => 1
[5,1,2,3,4] => 4
[5,1,2,4,3] => 3
[5,1,3,2,4] => 4
[5,1,3,4,2] => 2
[5,1,4,2,3] => 3
[5,1,4,3,2] => 2
[5,2,1,3,4] => 4
[5,2,1,4,3] => 3
[5,2,3,1,4] => 4
[5,2,3,4,1] => 1
[5,2,4,1,3] => 3
[5,2,4,3,1] => 1
[5,3,1,2,4] => 4
[5,3,1,4,2] => 2
[5,3,2,1,4] => 4
[5,3,2,4,1] => 1
[5,3,4,1,2] => 2
[5,3,4,2,1] => 1
[5,4,1,2,3] => 3
[5,4,1,3,2] => 2
[5,4,2,1,3] => 3
[5,4,2,3,1] => 1
[5,4,3,1,2] => 2
[5,4,3,2,1] => 1
[1,2,3,4,5,6] => 6
[1,2,3,4,6,5] => 5
[1,2,3,5,4,6] => 6
[1,2,3,5,6,4] => 4
[1,2,3,6,4,5] => 5
[1,2,3,6,5,4] => 4
[1,2,4,3,5,6] => 6
[1,2,4,3,6,5] => 5
[1,2,4,5,3,6] => 6
[1,2,4,5,6,3] => 3
[1,2,4,6,3,5] => 5
[1,2,4,6,5,3] => 3
[1,2,5,3,4,6] => 6
[1,2,5,3,6,4] => 4
[1,2,5,4,3,6] => 6
[1,2,5,4,6,3] => 3
[1,2,5,6,3,4] => 4
[1,2,5,6,4,3] => 3
[1,2,6,3,4,5] => 5
[1,2,6,3,5,4] => 4
[1,2,6,4,3,5] => 5
[1,2,6,4,5,3] => 3
[1,2,6,5,3,4] => 4
[1,2,6,5,4,3] => 3
[1,3,2,4,5,6] => 6
[1,3,2,4,6,5] => 5
[1,3,2,5,4,6] => 6
[1,3,2,5,6,4] => 4
[1,3,2,6,4,5] => 5
[1,3,2,6,5,4] => 4
[1,3,4,2,5,6] => 6
[1,3,4,2,6,5] => 5
[1,3,4,5,2,6] => 6
[1,3,4,5,6,2] => 2
[1,3,4,6,2,5] => 5
[1,3,4,6,5,2] => 2
[1,3,5,2,4,6] => 6
[1,3,5,2,6,4] => 4
[1,3,5,4,2,6] => 6
[1,3,5,4,6,2] => 2
[1,3,5,6,2,4] => 4
[1,3,5,6,4,2] => 2
[1,3,6,2,4,5] => 5
[1,3,6,2,5,4] => 4
[1,3,6,4,2,5] => 5
[1,3,6,4,5,2] => 2
[1,3,6,5,2,4] => 4
[1,3,6,5,4,2] => 2
[1,4,2,3,5,6] => 6
[1,4,2,3,6,5] => 5
[1,4,2,5,3,6] => 6
[1,4,2,5,6,3] => 3
[1,4,2,6,3,5] => 5
[1,4,2,6,5,3] => 3
[1,4,3,2,5,6] => 6
[1,4,3,2,6,5] => 5
[1,4,3,5,2,6] => 6
[1,4,3,5,6,2] => 2
[1,4,3,6,2,5] => 5
[1,4,3,6,5,2] => 2
[1,4,5,2,3,6] => 6
[1,4,5,2,6,3] => 3
[1,4,5,3,2,6] => 6
[1,4,5,3,6,2] => 2
[1,4,5,6,2,3] => 3
[1,4,5,6,3,2] => 2
[1,4,6,2,3,5] => 5
[1,4,6,2,5,3] => 3
[1,4,6,3,2,5] => 5
[1,4,6,3,5,2] => 2
[1,4,6,5,2,3] => 3
[1,4,6,5,3,2] => 2
[1,5,2,3,4,6] => 6
[1,5,2,3,6,4] => 4
[1,5,2,4,3,6] => 6
[1,5,2,4,6,3] => 3
[1,5,2,6,3,4] => 4
[1,5,2,6,4,3] => 3
[1,5,3,2,4,6] => 6
[1,5,3,2,6,4] => 4
[1,5,3,4,2,6] => 6
[1,5,3,4,6,2] => 2
[1,5,3,6,2,4] => 4
[1,5,3,6,4,2] => 2
[1,5,4,2,3,6] => 6
[1,5,4,2,6,3] => 3
[1,5,4,3,2,6] => 6
[1,5,4,3,6,2] => 2
[1,5,4,6,2,3] => 3
[1,5,4,6,3,2] => 2
[1,5,6,2,3,4] => 4
[1,5,6,2,4,3] => 3
[1,5,6,3,2,4] => 4
[1,5,6,3,4,2] => 2
[1,5,6,4,2,3] => 3
[1,5,6,4,3,2] => 2
[1,6,2,3,4,5] => 5
[1,6,2,3,5,4] => 4
[1,6,2,4,3,5] => 5
[1,6,2,4,5,3] => 3
[1,6,2,5,3,4] => 4
[1,6,2,5,4,3] => 3
[1,6,3,2,4,5] => 5
[1,6,3,2,5,4] => 4
[1,6,3,4,2,5] => 5
[1,6,3,4,5,2] => 2
[1,6,3,5,2,4] => 4
[1,6,3,5,4,2] => 2
[1,6,4,2,3,5] => 5
[1,6,4,2,5,3] => 3
[1,6,4,3,2,5] => 5
[1,6,4,3,5,2] => 2
[1,6,4,5,2,3] => 3
[1,6,4,5,3,2] => 2
[1,6,5,2,3,4] => 4
[1,6,5,2,4,3] => 3
[1,6,5,3,2,4] => 4
[1,6,5,3,4,2] => 2
[1,6,5,4,2,3] => 3
[1,6,5,4,3,2] => 2
[2,1,3,4,5,6] => 6
[2,1,3,4,6,5] => 5
[2,1,3,5,4,6] => 6
[2,1,3,5,6,4] => 4
[2,1,3,6,4,5] => 5
[2,1,3,6,5,4] => 4
[2,1,4,3,5,6] => 6
[2,1,4,3,6,5] => 5
[2,1,4,5,3,6] => 6
[2,1,4,5,6,3] => 3
[2,1,4,6,3,5] => 5
[2,1,4,6,5,3] => 3
[2,1,5,3,4,6] => 6
[2,1,5,3,6,4] => 4
[2,1,5,4,3,6] => 6
[2,1,5,4,6,3] => 3
[2,1,5,6,3,4] => 4
[2,1,5,6,4,3] => 3
[2,1,6,3,4,5] => 5
[2,1,6,3,5,4] => 4
[2,1,6,4,3,5] => 5
[2,1,6,4,5,3] => 3
[2,1,6,5,3,4] => 4
[2,1,6,5,4,3] => 3
[2,3,1,4,5,6] => 6
[2,3,1,4,6,5] => 5
[2,3,1,5,4,6] => 6
[2,3,1,5,6,4] => 4
[2,3,1,6,4,5] => 5
[2,3,1,6,5,4] => 4
[2,3,4,1,5,6] => 6
[2,3,4,1,6,5] => 5
[2,3,4,5,1,6] => 6
[2,3,4,5,6,1] => 1
[2,3,4,6,1,5] => 5
[2,3,4,6,5,1] => 1
[2,3,5,1,4,6] => 6
[2,3,5,1,6,4] => 4
[2,3,5,4,1,6] => 6
[2,3,5,4,6,1] => 1
[2,3,5,6,1,4] => 4
[2,3,5,6,4,1] => 1
[2,3,6,1,4,5] => 5
[2,3,6,1,5,4] => 4
[2,3,6,4,1,5] => 5
[2,3,6,4,5,1] => 1
[2,3,6,5,1,4] => 4
[2,3,6,5,4,1] => 1
[2,4,1,3,5,6] => 6
[2,4,1,3,6,5] => 5
[2,4,1,5,3,6] => 6
[2,4,1,5,6,3] => 3
[2,4,1,6,3,5] => 5
[2,4,1,6,5,3] => 3
[2,4,3,1,5,6] => 6
[2,4,3,1,6,5] => 5
[2,4,3,5,1,6] => 6
[2,4,3,5,6,1] => 1
[2,4,3,6,1,5] => 5
[2,4,3,6,5,1] => 1
[2,4,5,1,3,6] => 6
[2,4,5,1,6,3] => 3
[2,4,5,3,1,6] => 6
[2,4,5,3,6,1] => 1
[2,4,5,6,1,3] => 3
[2,4,5,6,3,1] => 1
[2,4,6,1,3,5] => 5
[2,4,6,1,5,3] => 3
[2,4,6,3,1,5] => 5
[2,4,6,3,5,1] => 1
[2,4,6,5,1,3] => 3
[2,4,6,5,3,1] => 1
[2,5,1,3,4,6] => 6
[2,5,1,3,6,4] => 4
[2,5,1,4,3,6] => 6
[2,5,1,4,6,3] => 3
[2,5,1,6,3,4] => 4
[2,5,1,6,4,3] => 3
[2,5,3,1,4,6] => 6
[2,5,3,1,6,4] => 4
[2,5,3,4,1,6] => 6
[2,5,3,4,6,1] => 1
[2,5,3,6,1,4] => 4
[2,5,3,6,4,1] => 1
[2,5,4,1,3,6] => 6
[2,5,4,1,6,3] => 3
[2,5,4,3,1,6] => 6
[2,5,4,3,6,1] => 1
[2,5,4,6,1,3] => 3
[2,5,4,6,3,1] => 1
[2,5,6,1,3,4] => 4
[2,5,6,1,4,3] => 3
[2,5,6,3,1,4] => 4
[2,5,6,3,4,1] => 1
[2,5,6,4,1,3] => 3
[2,5,6,4,3,1] => 1
[2,6,1,3,4,5] => 5
[2,6,1,3,5,4] => 4
[2,6,1,4,3,5] => 5
[2,6,1,4,5,3] => 3
[2,6,1,5,3,4] => 4
[2,6,1,5,4,3] => 3
[2,6,3,1,4,5] => 5
[2,6,3,1,5,4] => 4
[2,6,3,4,1,5] => 5
[2,6,3,4,5,1] => 1
[2,6,3,5,1,4] => 4
[2,6,3,5,4,1] => 1
[2,6,4,1,3,5] => 5
[2,6,4,1,5,3] => 3
[2,6,4,3,1,5] => 5
[2,6,4,3,5,1] => 1
[2,6,4,5,1,3] => 3
[2,6,4,5,3,1] => 1
[2,6,5,1,3,4] => 4
[2,6,5,1,4,3] => 3
[2,6,5,3,1,4] => 4
[2,6,5,3,4,1] => 1
[2,6,5,4,1,3] => 3
[2,6,5,4,3,1] => 1
[3,1,2,4,5,6] => 6
[3,1,2,4,6,5] => 5
[3,1,2,5,4,6] => 6
[3,1,2,5,6,4] => 4
[3,1,2,6,4,5] => 5
[3,1,2,6,5,4] => 4
[3,1,4,2,5,6] => 6
[3,1,4,2,6,5] => 5
[3,1,4,5,2,6] => 6
[3,1,4,5,6,2] => 2
[3,1,4,6,2,5] => 5
[3,1,4,6,5,2] => 2
[3,1,5,2,4,6] => 6
[3,1,5,2,6,4] => 4
[3,1,5,4,2,6] => 6
[3,1,5,4,6,2] => 2
[3,1,5,6,2,4] => 4
[3,1,5,6,4,2] => 2
[3,1,6,2,4,5] => 5
[3,1,6,2,5,4] => 4
[3,1,6,4,2,5] => 5
[3,1,6,4,5,2] => 2
[3,1,6,5,2,4] => 4
[3,1,6,5,4,2] => 2
[3,2,1,4,5,6] => 6
[3,2,1,4,6,5] => 5
[3,2,1,5,4,6] => 6
[3,2,1,5,6,4] => 4
[3,2,1,6,4,5] => 5
[3,2,1,6,5,4] => 4
[3,2,4,1,5,6] => 6
[3,2,4,1,6,5] => 5
[3,2,4,5,1,6] => 6
[3,2,4,5,6,1] => 1
[3,2,4,6,1,5] => 5
[3,2,4,6,5,1] => 1
[3,2,5,1,4,6] => 6
[3,2,5,1,6,4] => 4
[3,2,5,4,1,6] => 6
[3,2,5,4,6,1] => 1
[3,2,5,6,1,4] => 4
[3,2,5,6,4,1] => 1
[3,2,6,1,4,5] => 5
[3,2,6,1,5,4] => 4
[3,2,6,4,1,5] => 5
[3,2,6,4,5,1] => 1
[3,2,6,5,1,4] => 4
[3,2,6,5,4,1] => 1
[3,4,1,2,5,6] => 6
[3,4,1,2,6,5] => 5
[3,4,1,5,2,6] => 6
[3,4,1,5,6,2] => 2
[3,4,1,6,2,5] => 5
[3,4,1,6,5,2] => 2
[3,4,2,1,5,6] => 6
[3,4,2,1,6,5] => 5
[3,4,2,5,1,6] => 6
[3,4,2,5,6,1] => 1
[3,4,2,6,1,5] => 5
[3,4,2,6,5,1] => 1
[3,4,5,1,2,6] => 6
[3,4,5,1,6,2] => 2
[3,4,5,2,1,6] => 6
[3,4,5,2,6,1] => 1
[3,4,5,6,1,2] => 2
[3,4,5,6,2,1] => 1
[3,4,6,1,2,5] => 5
[3,4,6,1,5,2] => 2
[3,4,6,2,1,5] => 5
[3,4,6,2,5,1] => 1
[3,4,6,5,1,2] => 2
[3,4,6,5,2,1] => 1
[3,5,1,2,4,6] => 6
[3,5,1,2,6,4] => 4
[3,5,1,4,2,6] => 6
[3,5,1,4,6,2] => 2
[3,5,1,6,2,4] => 4
[3,5,1,6,4,2] => 2
[3,5,2,1,4,6] => 6
[3,5,2,1,6,4] => 4
[3,5,2,4,1,6] => 6
[3,5,2,4,6,1] => 1
[3,5,2,6,1,4] => 4
[3,5,2,6,4,1] => 1
[3,5,4,1,2,6] => 6
[3,5,4,1,6,2] => 2
[3,5,4,2,1,6] => 6
[3,5,4,2,6,1] => 1
[3,5,4,6,1,2] => 2
[3,5,4,6,2,1] => 1
[3,5,6,1,2,4] => 4
[3,5,6,1,4,2] => 2
[3,5,6,2,1,4] => 4
[3,5,6,2,4,1] => 1
[3,5,6,4,1,2] => 2
[3,5,6,4,2,1] => 1
[3,6,1,2,4,5] => 5
[3,6,1,2,5,4] => 4
[3,6,1,4,2,5] => 5
[3,6,1,4,5,2] => 2
[3,6,1,5,2,4] => 4
[3,6,1,5,4,2] => 2
[3,6,2,1,4,5] => 5
[3,6,2,1,5,4] => 4
[3,6,2,4,1,5] => 5
[3,6,2,4,5,1] => 1
[3,6,2,5,1,4] => 4
[3,6,2,5,4,1] => 1
[3,6,4,1,2,5] => 5
[3,6,4,1,5,2] => 2
[3,6,4,2,1,5] => 5
[3,6,4,2,5,1] => 1
[3,6,4,5,1,2] => 2
[3,6,4,5,2,1] => 1
[3,6,5,1,2,4] => 4
[3,6,5,1,4,2] => 2
[3,6,5,2,1,4] => 4
[3,6,5,2,4,1] => 1
[3,6,5,4,1,2] => 2
[3,6,5,4,2,1] => 1
[4,1,2,3,5,6] => 6
[4,1,2,3,6,5] => 5
[4,1,2,5,3,6] => 6
[4,1,2,5,6,3] => 3
[4,1,2,6,3,5] => 5
[4,1,2,6,5,3] => 3
[4,1,3,2,5,6] => 6
[4,1,3,2,6,5] => 5
[4,1,3,5,2,6] => 6
[4,1,3,5,6,2] => 2
[4,1,3,6,2,5] => 5
[4,1,3,6,5,2] => 2
[4,1,5,2,3,6] => 6
[4,1,5,2,6,3] => 3
[4,1,5,3,2,6] => 6
[4,1,5,3,6,2] => 2
[4,1,5,6,2,3] => 3
[4,1,5,6,3,2] => 2
[4,1,6,2,3,5] => 5
[4,1,6,2,5,3] => 3
[4,1,6,3,2,5] => 5
[4,1,6,3,5,2] => 2
[4,1,6,5,2,3] => 3
[4,1,6,5,3,2] => 2
[4,2,1,3,5,6] => 6
[4,2,1,3,6,5] => 5
[4,2,1,5,3,6] => 6
[4,2,1,5,6,3] => 3
[4,2,1,6,3,5] => 5
[4,2,1,6,5,3] => 3
[4,2,3,1,5,6] => 6
[4,2,3,1,6,5] => 5
[4,2,3,5,1,6] => 6
[4,2,3,5,6,1] => 1
[4,2,3,6,1,5] => 5
[4,2,3,6,5,1] => 1
[4,2,5,1,3,6] => 6
[4,2,5,1,6,3] => 3
[4,2,5,3,1,6] => 6
[4,2,5,3,6,1] => 1
[4,2,5,6,1,3] => 3
[4,2,5,6,3,1] => 1
[4,2,6,1,3,5] => 5
[4,2,6,1,5,3] => 3
[4,2,6,3,1,5] => 5
[4,2,6,3,5,1] => 1
[4,2,6,5,1,3] => 3
[4,2,6,5,3,1] => 1
[4,3,1,2,5,6] => 6
[4,3,1,2,6,5] => 5
[4,3,1,5,2,6] => 6
[4,3,1,5,6,2] => 2
[4,3,1,6,2,5] => 5
[4,3,1,6,5,2] => 2
[4,3,2,1,5,6] => 6
[4,3,2,1,6,5] => 5
[4,3,2,5,1,6] => 6
[4,3,2,5,6,1] => 1
[4,3,2,6,1,5] => 5
[4,3,2,6,5,1] => 1
[4,3,5,1,2,6] => 6
[4,3,5,1,6,2] => 2
[4,3,5,2,1,6] => 6
[4,3,5,2,6,1] => 1
[4,3,5,6,1,2] => 2
[4,3,5,6,2,1] => 1
[4,3,6,1,2,5] => 5
[4,3,6,1,5,2] => 2
[4,3,6,2,1,5] => 5
[4,3,6,2,5,1] => 1
[4,3,6,5,1,2] => 2
[4,3,6,5,2,1] => 1
[4,5,1,2,3,6] => 6
[4,5,1,2,6,3] => 3
[4,5,1,3,2,6] => 6
[4,5,1,3,6,2] => 2
[4,5,1,6,2,3] => 3
[4,5,1,6,3,2] => 2
[4,5,2,1,3,6] => 6
[4,5,2,1,6,3] => 3
[4,5,2,3,1,6] => 6
[4,5,2,3,6,1] => 1
[4,5,2,6,1,3] => 3
[4,5,2,6,3,1] => 1
[4,5,3,1,2,6] => 6
[4,5,3,1,6,2] => 2
[4,5,3,2,1,6] => 6
[4,5,3,2,6,1] => 1
[4,5,3,6,1,2] => 2
[4,5,3,6,2,1] => 1
[4,5,6,1,2,3] => 3
[4,5,6,1,3,2] => 2
[4,5,6,2,1,3] => 3
[4,5,6,2,3,1] => 1
[4,5,6,3,1,2] => 2
[4,5,6,3,2,1] => 1
[4,6,1,2,3,5] => 5
[4,6,1,2,5,3] => 3
[4,6,1,3,2,5] => 5
[4,6,1,3,5,2] => 2
[4,6,1,5,2,3] => 3
[4,6,1,5,3,2] => 2
[4,6,2,1,3,5] => 5
[4,6,2,1,5,3] => 3
[4,6,2,3,1,5] => 5
[4,6,2,3,5,1] => 1
[4,6,2,5,1,3] => 3
[4,6,2,5,3,1] => 1
[4,6,3,1,2,5] => 5
[4,6,3,1,5,2] => 2
[4,6,3,2,1,5] => 5
[4,6,3,2,5,1] => 1
[4,6,3,5,1,2] => 2
[4,6,3,5,2,1] => 1
[4,6,5,1,2,3] => 3
[4,6,5,1,3,2] => 2
[4,6,5,2,1,3] => 3
[4,6,5,2,3,1] => 1
[4,6,5,3,1,2] => 2
[4,6,5,3,2,1] => 1
[5,1,2,3,4,6] => 6
[5,1,2,3,6,4] => 4
[5,1,2,4,3,6] => 6
[5,1,2,4,6,3] => 3
[5,1,2,6,3,4] => 4
[5,1,2,6,4,3] => 3
[5,1,3,2,4,6] => 6
[5,1,3,2,6,4] => 4
[5,1,3,4,2,6] => 6
[5,1,3,4,6,2] => 2
[5,1,3,6,2,4] => 4
[5,1,3,6,4,2] => 2
[5,1,4,2,3,6] => 6
[5,1,4,2,6,3] => 3
[5,1,4,3,2,6] => 6
[5,1,4,3,6,2] => 2
[5,1,4,6,2,3] => 3
[5,1,4,6,3,2] => 2
[5,1,6,2,3,4] => 4
[5,1,6,2,4,3] => 3
[5,1,6,3,2,4] => 4
[5,1,6,3,4,2] => 2
[5,1,6,4,2,3] => 3
[5,1,6,4,3,2] => 2
[5,2,1,3,4,6] => 6
[5,2,1,3,6,4] => 4
[5,2,1,4,3,6] => 6
[5,2,1,4,6,3] => 3
[5,2,1,6,3,4] => 4
[5,2,1,6,4,3] => 3
[5,2,3,1,4,6] => 6
[5,2,3,1,6,4] => 4
[5,2,3,4,1,6] => 6
[5,2,3,4,6,1] => 1
[5,2,3,6,1,4] => 4
[5,2,3,6,4,1] => 1
[5,2,4,1,3,6] => 6
[5,2,4,1,6,3] => 3
[5,2,4,3,1,6] => 6
[5,2,4,3,6,1] => 1
[5,2,4,6,1,3] => 3
[5,2,4,6,3,1] => 1
[5,2,6,1,3,4] => 4
[5,2,6,1,4,3] => 3
[5,2,6,3,1,4] => 4
[5,2,6,3,4,1] => 1
[5,2,6,4,1,3] => 3
[5,2,6,4,3,1] => 1
[5,3,1,2,4,6] => 6
[5,3,1,2,6,4] => 4
[5,3,1,4,2,6] => 6
[5,3,1,4,6,2] => 2
[5,3,1,6,2,4] => 4
[5,3,1,6,4,2] => 2
[5,3,2,1,4,6] => 6
[5,3,2,1,6,4] => 4
[5,3,2,4,1,6] => 6
[5,3,2,4,6,1] => 1
[5,3,2,6,1,4] => 4
[5,3,2,6,4,1] => 1
[5,3,4,1,2,6] => 6
[5,3,4,1,6,2] => 2
[5,3,4,2,1,6] => 6
[5,3,4,2,6,1] => 1
[5,3,4,6,1,2] => 2
[5,3,4,6,2,1] => 1
[5,3,6,1,2,4] => 4
[5,3,6,1,4,2] => 2
[5,3,6,2,1,4] => 4
[5,3,6,2,4,1] => 1
[5,3,6,4,1,2] => 2
[5,3,6,4,2,1] => 1
[5,4,1,2,3,6] => 6
[5,4,1,2,6,3] => 3
[5,4,1,3,2,6] => 6
[5,4,1,3,6,2] => 2
[5,4,1,6,2,3] => 3
[5,4,1,6,3,2] => 2
[5,4,2,1,3,6] => 6
[5,4,2,1,6,3] => 3
[5,4,2,3,1,6] => 6
[5,4,2,3,6,1] => 1
[5,4,2,6,1,3] => 3
[5,4,2,6,3,1] => 1
[5,4,3,1,2,6] => 6
[5,4,3,1,6,2] => 2
[5,4,3,2,1,6] => 6
[5,4,3,2,6,1] => 1
[5,4,3,6,1,2] => 2
[5,4,3,6,2,1] => 1
[5,4,6,1,2,3] => 3
[5,4,6,1,3,2] => 2
[5,4,6,2,1,3] => 3
[5,4,6,2,3,1] => 1
[5,4,6,3,1,2] => 2
[5,4,6,3,2,1] => 1
[5,6,1,2,3,4] => 4
[5,6,1,2,4,3] => 3
[5,6,1,3,2,4] => 4
[5,6,1,3,4,2] => 2
[5,6,1,4,2,3] => 3
[5,6,1,4,3,2] => 2
[5,6,2,1,3,4] => 4
[5,6,2,1,4,3] => 3
[5,6,2,3,1,4] => 4
[5,6,2,3,4,1] => 1
[5,6,2,4,1,3] => 3
[5,6,2,4,3,1] => 1
[5,6,3,1,2,4] => 4
[5,6,3,1,4,2] => 2
[5,6,3,2,1,4] => 4
[5,6,3,2,4,1] => 1
[5,6,3,4,1,2] => 2
[5,6,3,4,2,1] => 1
[5,6,4,1,2,3] => 3
[5,6,4,1,3,2] => 2
[5,6,4,2,1,3] => 3
[5,6,4,2,3,1] => 1
[5,6,4,3,1,2] => 2
[5,6,4,3,2,1] => 1
[6,1,2,3,4,5] => 5
[6,1,2,3,5,4] => 4
[6,1,2,4,3,5] => 5
[6,1,2,4,5,3] => 3
[6,1,2,5,3,4] => 4
[6,1,2,5,4,3] => 3
[6,1,3,2,4,5] => 5
[6,1,3,2,5,4] => 4
[6,1,3,4,2,5] => 5
[6,1,3,4,5,2] => 2
[6,1,3,5,2,4] => 4
[6,1,3,5,4,2] => 2
[6,1,4,2,3,5] => 5
[6,1,4,2,5,3] => 3
[6,1,4,3,2,5] => 5
[6,1,4,3,5,2] => 2
[6,1,4,5,2,3] => 3
[6,1,4,5,3,2] => 2
[6,1,5,2,3,4] => 4
[6,1,5,2,4,3] => 3
[6,1,5,3,2,4] => 4
[6,1,5,3,4,2] => 2
[6,1,5,4,2,3] => 3
[6,1,5,4,3,2] => 2
[6,2,1,3,4,5] => 5
[6,2,1,3,5,4] => 4
[6,2,1,4,3,5] => 5
[6,2,1,4,5,3] => 3
[6,2,1,5,3,4] => 4
[6,2,1,5,4,3] => 3
[6,2,3,1,4,5] => 5
[6,2,3,1,5,4] => 4
[6,2,3,4,1,5] => 5
[6,2,3,4,5,1] => 1
[6,2,3,5,1,4] => 4
[6,2,3,5,4,1] => 1
[6,2,4,1,3,5] => 5
[6,2,4,1,5,3] => 3
[6,2,4,3,1,5] => 5
[6,2,4,3,5,1] => 1
[6,2,4,5,1,3] => 3
[6,2,4,5,3,1] => 1
[6,2,5,1,3,4] => 4
[6,2,5,1,4,3] => 3
[6,2,5,3,1,4] => 4
[6,2,5,3,4,1] => 1
[6,2,5,4,1,3] => 3
[6,2,5,4,3,1] => 1
[6,3,1,2,4,5] => 5
[6,3,1,2,5,4] => 4
[6,3,1,4,2,5] => 5
[6,3,1,4,5,2] => 2
[6,3,1,5,2,4] => 4
[6,3,1,5,4,2] => 2
[6,3,2,1,4,5] => 5
[6,3,2,1,5,4] => 4
[6,3,2,4,1,5] => 5
[6,3,2,4,5,1] => 1
[6,3,2,5,1,4] => 4
[6,3,2,5,4,1] => 1
[6,3,4,1,2,5] => 5
[6,3,4,1,5,2] => 2
[6,3,4,2,1,5] => 5
[6,3,4,2,5,1] => 1
[6,3,4,5,1,2] => 2
[6,3,4,5,2,1] => 1
[6,3,5,1,2,4] => 4
[6,3,5,1,4,2] => 2
[6,3,5,2,1,4] => 4
[6,3,5,2,4,1] => 1
[6,3,5,4,1,2] => 2
[6,3,5,4,2,1] => 1
[6,4,1,2,3,5] => 5
[6,4,1,2,5,3] => 3
[6,4,1,3,2,5] => 5
[6,4,1,3,5,2] => 2
[6,4,1,5,2,3] => 3
[6,4,1,5,3,2] => 2
[6,4,2,1,3,5] => 5
[6,4,2,1,5,3] => 3
[6,4,2,3,1,5] => 5
[6,4,2,3,5,1] => 1
[6,4,2,5,1,3] => 3
[6,4,2,5,3,1] => 1
[6,4,3,1,2,5] => 5
[6,4,3,1,5,2] => 2
[6,4,3,2,1,5] => 5
[6,4,3,2,5,1] => 1
[6,4,3,5,1,2] => 2
[6,4,3,5,2,1] => 1
[6,4,5,1,2,3] => 3
[6,4,5,1,3,2] => 2
[6,4,5,2,1,3] => 3
[6,4,5,2,3,1] => 1
[6,4,5,3,1,2] => 2
[6,4,5,3,2,1] => 1
[6,5,1,2,3,4] => 4
[6,5,1,2,4,3] => 3
[6,5,1,3,2,4] => 4
[6,5,1,3,4,2] => 2
[6,5,1,4,2,3] => 3
[6,5,1,4,3,2] => 2
[6,5,2,1,3,4] => 4
[6,5,2,1,4,3] => 3
[6,5,2,3,1,4] => 4
[6,5,2,3,4,1] => 1
[6,5,2,4,1,3] => 3
[6,5,2,4,3,1] => 1
[6,5,3,1,2,4] => 4
[6,5,3,1,4,2] => 2
[6,5,3,2,1,4] => 4
[6,5,3,2,4,1] => 1
[6,5,3,4,1,2] => 2
[6,5,3,4,2,1] => 1
[6,5,4,1,2,3] => 3
[6,5,4,1,3,2] => 2
[6,5,4,2,1,3] => 3
[6,5,4,2,3,1] => 1
[6,5,4,3,1,2] => 2
[6,5,4,3,2,1] => 1
[1,2,3,4,5,6,7] => 7
[1,2,3,4,5,7,6] => 6
[1,2,3,4,6,5,7] => 7
[1,2,3,4,6,7,5] => 5
[1,2,3,4,7,5,6] => 6
[1,2,3,4,7,6,5] => 5
[1,2,3,5,4,6,7] => 7
[1,2,3,5,4,7,6] => 6
[1,2,3,5,6,4,7] => 7
[1,2,3,5,6,7,4] => 4
[1,2,3,5,7,4,6] => 6
[1,2,3,5,7,6,4] => 4
[1,2,3,6,4,5,7] => 7
[1,2,3,6,4,7,5] => 5
[1,2,3,6,5,4,7] => 7
[1,2,3,6,5,7,4] => 4
[1,2,3,6,7,4,5] => 5
[1,2,3,6,7,5,4] => 4
[1,2,3,7,4,5,6] => 6
[1,2,3,7,4,6,5] => 5
[1,2,3,7,5,4,6] => 6
[1,2,3,7,5,6,4] => 4
[1,2,3,7,6,4,5] => 5
[1,2,3,7,6,5,4] => 4
[1,2,4,3,5,6,7] => 7
[1,2,4,3,5,7,6] => 6
[1,2,4,3,6,5,7] => 7
[1,2,4,3,6,7,5] => 5
[1,2,4,3,7,5,6] => 6
[1,2,4,3,7,6,5] => 5
[1,2,4,5,3,6,7] => 7
[1,2,4,5,3,7,6] => 6
[1,2,4,5,6,3,7] => 7
[1,2,4,5,6,7,3] => 3
[1,2,4,5,7,3,6] => 6
[1,2,4,5,7,6,3] => 3
[1,2,4,6,3,5,7] => 7
[1,2,4,6,3,7,5] => 5
[1,2,4,6,5,3,7] => 7
[1,2,4,6,5,7,3] => 3
[1,2,4,6,7,3,5] => 5
[1,2,4,6,7,5,3] => 3
[1,2,4,7,3,5,6] => 6
[1,2,4,7,3,6,5] => 5
[1,2,4,7,5,3,6] => 6
[1,2,4,7,5,6,3] => 3
[1,2,4,7,6,3,5] => 5
[1,2,4,7,6,5,3] => 3
[1,2,5,3,4,6,7] => 7
[1,2,5,3,4,7,6] => 6
[1,2,5,3,6,4,7] => 7
[1,2,5,3,6,7,4] => 4
[1,2,5,3,7,4,6] => 6
[1,2,5,3,7,6,4] => 4
[1,2,5,4,3,6,7] => 7
[1,2,5,4,3,7,6] => 6
[1,2,5,4,6,3,7] => 7
[1,2,5,4,6,7,3] => 3
[1,2,5,4,7,3,6] => 6
[1,2,5,4,7,6,3] => 3
[1,2,5,6,3,4,7] => 7
[1,2,5,6,3,7,4] => 4
[1,2,5,6,4,3,7] => 7
[1,2,5,6,4,7,3] => 3
[1,2,5,6,7,3,4] => 4
[1,2,5,6,7,4,3] => 3
[1,2,5,7,3,4,6] => 6
[1,2,5,7,3,6,4] => 4
[1,2,5,7,4,3,6] => 6
[1,2,5,7,4,6,3] => 3
[1,2,5,7,6,3,4] => 4
[1,2,5,7,6,4,3] => 3
[1,2,6,3,4,5,7] => 7
[1,2,6,3,4,7,5] => 5
[1,2,6,3,5,4,7] => 7
[1,2,6,3,5,7,4] => 4
[1,2,6,3,7,4,5] => 5
[1,2,6,3,7,5,4] => 4
[1,2,6,4,3,5,7] => 7
[1,2,6,4,3,7,5] => 5
[1,2,6,4,5,3,7] => 7
[1,2,6,4,5,7,3] => 3
[1,2,6,4,7,3,5] => 5
[1,2,6,4,7,5,3] => 3
[1,2,6,5,3,4,7] => 7
[1,2,6,5,3,7,4] => 4
[1,2,6,5,4,3,7] => 7
[1,2,6,5,4,7,3] => 3
[1,2,6,5,7,3,4] => 4
[1,2,6,5,7,4,3] => 3
[1,2,6,7,3,4,5] => 5
[1,2,6,7,3,5,4] => 4
[1,2,6,7,4,3,5] => 5
[1,2,6,7,4,5,3] => 3
[1,2,6,7,5,3,4] => 4
[1,2,6,7,5,4,3] => 3
[1,2,7,3,4,5,6] => 6
[1,2,7,3,4,6,5] => 5
[1,2,7,3,5,4,6] => 6
[1,2,7,3,5,6,4] => 4
[1,2,7,3,6,4,5] => 5
[1,2,7,3,6,5,4] => 4
[1,2,7,4,3,5,6] => 6
[1,2,7,4,3,6,5] => 5
[1,2,7,4,5,3,6] => 6
[1,2,7,4,5,6,3] => 3
[1,2,7,4,6,3,5] => 5
[1,2,7,4,6,5,3] => 3
[1,2,7,5,3,4,6] => 6
[1,2,7,5,3,6,4] => 4
[1,2,7,5,4,3,6] => 6
[1,2,7,5,4,6,3] => 3
[1,2,7,5,6,3,4] => 4
[1,2,7,5,6,4,3] => 3
[1,2,7,6,3,4,5] => 5
[1,2,7,6,3,5,4] => 4
[1,2,7,6,4,3,5] => 5
[1,2,7,6,4,5,3] => 3
[1,2,7,6,5,3,4] => 4
[1,2,7,6,5,4,3] => 3
[1,3,2,4,5,6,7] => 7
[1,3,2,4,5,7,6] => 6
[1,3,2,4,6,5,7] => 7
[1,3,2,4,6,7,5] => 5
[1,3,2,4,7,5,6] => 6
[1,3,2,4,7,6,5] => 5
[1,3,2,5,4,6,7] => 7
[1,3,2,5,4,7,6] => 6
[1,3,2,5,6,4,7] => 7
[1,3,2,5,6,7,4] => 4
[1,3,2,5,7,4,6] => 6
[1,3,2,5,7,6,4] => 4
[1,3,2,6,4,5,7] => 7
[1,3,2,6,4,7,5] => 5
[1,3,2,6,5,4,7] => 7
[1,3,2,6,5,7,4] => 4
[1,3,2,6,7,4,5] => 5
[1,3,2,6,7,5,4] => 4
[1,3,2,7,4,5,6] => 6
[1,3,2,7,4,6,5] => 5
[1,3,2,7,5,4,6] => 6
[1,3,2,7,5,6,4] => 4
[1,3,2,7,6,4,5] => 5
[1,3,2,7,6,5,4] => 4
[1,3,4,2,5,6,7] => 7
[1,3,4,2,5,7,6] => 6
[1,3,4,2,6,5,7] => 7
[1,3,4,2,6,7,5] => 5
[1,3,4,2,7,5,6] => 6
[1,3,4,2,7,6,5] => 5
[1,3,4,5,2,6,7] => 7
[1,3,4,5,2,7,6] => 6
[1,3,4,5,6,2,7] => 7
[1,3,4,5,6,7,2] => 2
[1,3,4,5,7,2,6] => 6
[1,3,4,5,7,6,2] => 2
[1,3,4,6,2,5,7] => 7
[1,3,4,6,2,7,5] => 5
[1,3,4,6,5,2,7] => 7
[1,3,4,6,5,7,2] => 2
[1,3,4,6,7,2,5] => 5
[1,3,4,6,7,5,2] => 2
[1,3,4,7,2,5,6] => 6
[1,3,4,7,2,6,5] => 5
[1,3,4,7,5,2,6] => 6
[1,3,4,7,5,6,2] => 2
[1,3,4,7,6,2,5] => 5
[1,3,4,7,6,5,2] => 2
[1,3,5,2,4,6,7] => 7
[1,3,5,2,4,7,6] => 6
[1,3,5,2,6,4,7] => 7
[1,3,5,2,6,7,4] => 4
[1,3,5,2,7,4,6] => 6
[1,3,5,2,7,6,4] => 4
[1,3,5,4,2,6,7] => 7
[1,3,5,4,2,7,6] => 6
[1,3,5,4,6,2,7] => 7
[1,3,5,4,6,7,2] => 2
[1,3,5,4,7,2,6] => 6
[1,3,5,4,7,6,2] => 2
[1,3,5,6,2,4,7] => 7
[1,3,5,6,2,7,4] => 4
[1,3,5,6,4,2,7] => 7
[1,3,5,6,4,7,2] => 2
[1,3,5,6,7,2,4] => 4
[1,3,5,6,7,4,2] => 2
[1,3,5,7,2,4,6] => 6
[1,3,5,7,2,6,4] => 4
[1,3,5,7,4,2,6] => 6
[1,3,5,7,4,6,2] => 2
[1,3,5,7,6,2,4] => 4
[1,3,5,7,6,4,2] => 2
[1,3,6,2,4,5,7] => 7
[1,3,6,2,4,7,5] => 5
[1,3,6,2,5,4,7] => 7
[1,3,6,2,5,7,4] => 4
[1,3,6,2,7,4,5] => 5
[1,3,6,2,7,5,4] => 4
[1,3,6,4,2,5,7] => 7
[1,3,6,4,2,7,5] => 5
[1,3,6,4,5,2,7] => 7
[1,3,6,4,5,7,2] => 2
[1,3,6,4,7,2,5] => 5
[1,3,6,4,7,5,2] => 2
[1,3,6,5,2,4,7] => 7
[1,3,6,5,2,7,4] => 4
[1,3,6,5,4,2,7] => 7
[1,3,6,5,4,7,2] => 2
[1,3,6,5,7,2,4] => 4
[1,3,6,5,7,4,2] => 2
[1,3,6,7,2,4,5] => 5
[1,3,6,7,2,5,4] => 4
[1,3,6,7,4,2,5] => 5
[1,3,6,7,4,5,2] => 2
[1,3,6,7,5,2,4] => 4
[1,3,6,7,5,4,2] => 2
[1,3,7,2,4,5,6] => 6
[1,3,7,2,4,6,5] => 5
[1,3,7,2,5,4,6] => 6
[1,3,7,2,5,6,4] => 4
[1,3,7,2,6,4,5] => 5
[1,3,7,2,6,5,4] => 4
[1,3,7,4,2,5,6] => 6
[1,3,7,4,2,6,5] => 5
[1,3,7,4,5,2,6] => 6
[1,3,7,4,5,6,2] => 2
[1,3,7,4,6,2,5] => 5
[1,3,7,4,6,5,2] => 2
[1,3,7,5,2,4,6] => 6
[1,3,7,5,2,6,4] => 4
[1,3,7,5,4,2,6] => 6
[1,3,7,5,4,6,2] => 2
[1,3,7,5,6,2,4] => 4
[1,3,7,5,6,4,2] => 2
[1,3,7,6,2,4,5] => 5
[1,3,7,6,2,5,4] => 4
[1,3,7,6,4,2,5] => 5
[1,3,7,6,4,5,2] => 2
[1,3,7,6,5,2,4] => 4
[1,3,7,6,5,4,2] => 2
[1,4,2,3,5,6,7] => 7
[1,4,2,3,5,7,6] => 6
[1,4,2,3,6,5,7] => 7
[1,4,2,3,6,7,5] => 5
[1,4,2,3,7,5,6] => 6
[1,4,2,3,7,6,5] => 5
[1,4,2,5,3,6,7] => 7
[1,4,2,5,3,7,6] => 6
[1,4,2,5,6,3,7] => 7
[1,4,2,5,6,7,3] => 3
[1,4,2,5,7,3,6] => 6
[1,4,2,5,7,6,3] => 3
[1,4,2,6,3,5,7] => 7
[1,4,2,6,3,7,5] => 5
[1,4,2,6,5,3,7] => 7
[1,4,2,6,5,7,3] => 3
[1,4,2,6,7,3,5] => 5
[1,4,2,6,7,5,3] => 3
[1,4,2,7,3,5,6] => 6
[1,4,2,7,3,6,5] => 5
[1,4,2,7,5,3,6] => 6
[1,4,2,7,5,6,3] => 3
[1,4,2,7,6,3,5] => 5
[1,4,2,7,6,5,3] => 3
[1,4,3,2,5,6,7] => 7
[1,4,3,2,5,7,6] => 6
[1,4,3,2,6,5,7] => 7
[1,4,3,2,6,7,5] => 5
[1,4,3,2,7,5,6] => 6
[1,4,3,2,7,6,5] => 5
[1,4,3,5,2,6,7] => 7
[1,4,3,5,2,7,6] => 6
[1,4,3,5,6,2,7] => 7
[1,4,3,5,6,7,2] => 2
[1,4,3,5,7,2,6] => 6
[1,4,3,5,7,6,2] => 2
[1,4,3,6,2,5,7] => 7
[1,4,3,6,2,7,5] => 5
[1,4,3,6,5,2,7] => 7
[1,4,3,6,5,7,2] => 2
[1,4,3,6,7,2,5] => 5
[1,4,3,6,7,5,2] => 2
[1,4,3,7,2,5,6] => 6
[1,4,3,7,2,6,5] => 5
[1,4,3,7,5,2,6] => 6
[1,4,3,7,5,6,2] => 2
[1,4,3,7,6,2,5] => 5
[1,4,3,7,6,5,2] => 2
[1,4,5,2,3,6,7] => 7
[1,4,5,2,3,7,6] => 6
[1,4,5,2,6,3,7] => 7
[1,4,5,2,6,7,3] => 3
[1,4,5,2,7,3,6] => 6
[1,4,5,2,7,6,3] => 3
[1,4,5,3,2,6,7] => 7
[1,4,5,3,2,7,6] => 6
[1,4,5,3,6,2,7] => 7
[1,4,5,3,6,7,2] => 2
[1,4,5,3,7,2,6] => 6
[1,4,5,3,7,6,2] => 2
[1,4,5,6,2,3,7] => 7
[1,4,5,6,2,7,3] => 3
[1,4,5,6,3,2,7] => 7
[1,4,5,6,3,7,2] => 2
[1,4,5,6,7,2,3] => 3
[1,4,5,6,7,3,2] => 2
[1,4,5,7,2,3,6] => 6
[1,4,5,7,2,6,3] => 3
[1,4,5,7,3,2,6] => 6
[1,4,5,7,3,6,2] => 2
[1,4,5,7,6,2,3] => 3
[1,4,5,7,6,3,2] => 2
[1,4,6,2,3,5,7] => 7
[1,4,6,2,3,7,5] => 5
[1,4,6,2,5,3,7] => 7
[1,4,6,2,5,7,3] => 3
[1,4,6,2,7,3,5] => 5
[1,4,6,2,7,5,3] => 3
[1,4,6,3,2,5,7] => 7
[1,4,6,3,2,7,5] => 5
[1,4,6,3,5,2,7] => 7
[1,4,6,3,5,7,2] => 2
[1,4,6,3,7,2,5] => 5
[1,4,6,3,7,5,2] => 2
[1,4,6,5,2,3,7] => 7
[1,4,6,5,2,7,3] => 3
[1,4,6,5,3,2,7] => 7
[1,4,6,5,3,7,2] => 2
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Generating function
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Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 2,2,2 6,6,6,6 24,24,24,24,24 120,120,120,120,120,120
$F_{1} = q$
$F_{2} = q + q^{2}$
$F_{3} = 2\ q + 2\ q^{2} + 2\ q^{3}$
$F_{4} = 6\ q + 6\ q^{2} + 6\ q^{3} + 6\ q^{4}$
$F_{5} = 24\ q + 24\ q^{2} + 24\ q^{3} + 24\ q^{4} + 24\ q^{5}$
$F_{6} = 120\ q + 120\ q^{2} + 120\ q^{3} + 120\ q^{4} + 120\ q^{5} + 120\ q^{6}$
Description
The last entry of a permutation.
This statistic is undefined for the empty permutation.
This statistic is undefined for the empty permutation.
Code
def statistic(pi):
if pi:
return pi[-1]
Created
Mar 29, 2017 at 11:01 by Christian Stump
Updated
Jan 07, 2021 at 21:38 by Martin Rubey
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