Identifier
Values
[1] => [1] => [1,0,1,0] => [3,1,2] => 0
[1,2] => [1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 0
[2,1] => [2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[1,2,3] => [1,1,1] => [1,0,1,1,1,0,0,0] => [3,1,4,5,2] => 0
[1,3,2] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 0
[2,1,3] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 0
[2,3,1] => [3] => [1,1,1,0,0,0,1,0] => [2,3,5,1,4] => 1
[3,1,2] => [3] => [1,1,1,0,0,0,1,0] => [2,3,5,1,4] => 1
[3,2,1] => [2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 0
[1,2,4,3] => [2,1,1] => [1,0,1,1,0,1,0,0] => [5,1,4,2,3] => 0
[1,3,2,4] => [2,1,1] => [1,0,1,1,0,1,0,0] => [5,1,4,2,3] => 0
[1,3,4,2] => [3,1] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 2
[1,4,2,3] => [3,1] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 2
[1,4,3,2] => [2,1,1] => [1,0,1,1,0,1,0,0] => [5,1,4,2,3] => 0
[2,1,3,4] => [2,1,1] => [1,0,1,1,0,1,0,0] => [5,1,4,2,3] => 0
[2,1,4,3] => [2,2] => [1,1,0,0,1,1,0,0] => [2,4,1,5,3] => 2
[2,3,1,4] => [3,1] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 2
[2,4,3,1] => [3,1] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 2
[3,1,2,4] => [3,1] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 2
[3,2,1,4] => [2,1,1] => [1,0,1,1,0,1,0,0] => [5,1,4,2,3] => 0
[3,2,4,1] => [3,1] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 2
[3,4,1,2] => [2,2] => [1,1,0,0,1,1,0,0] => [2,4,1,5,3] => 2
[4,1,3,2] => [3,1] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 2
[4,2,1,3] => [3,1] => [1,1,0,1,0,0,1,0] => [5,3,1,2,4] => 2
[4,2,3,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [5,1,4,2,3] => 0
[4,3,2,1] => [2,2] => [1,1,0,0,1,1,0,0] => [2,4,1,5,3] => 2
[1,2,4,5,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[1,2,5,3,4] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[1,3,2,5,4] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[1,3,4,2,5] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[1,3,5,4,2] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[1,4,2,3,5] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[1,4,3,5,2] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[1,4,5,2,3] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[1,5,2,4,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[1,5,3,2,4] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[1,5,4,3,2] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[2,1,3,5,4] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[2,1,4,3,5] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[2,1,4,5,3] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[2,1,5,3,4] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[2,1,5,4,3] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[2,3,1,4,5] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[2,3,1,5,4] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[2,4,3,1,5] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[2,4,5,1,3] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[2,5,3,4,1] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[2,5,4,3,1] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[3,1,2,4,5] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[3,1,2,5,4] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[3,2,1,5,4] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[3,2,4,1,5] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[3,2,5,4,1] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[3,4,1,2,5] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[3,4,1,5,2] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[3,4,5,2,1] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[3,5,1,2,4] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[3,5,1,4,2] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[3,5,4,1,2] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[4,1,3,2,5] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[4,1,5,2,3] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[4,2,1,3,5] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[4,2,3,5,1] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[4,2,5,1,3] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[4,3,2,1,5] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[4,3,2,5,1] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[4,3,5,1,2] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[4,5,1,3,2] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[4,5,2,1,3] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[4,5,3,1,2] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[5,1,3,4,2] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[5,1,4,3,2] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[5,2,1,4,3] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[5,2,3,1,4] => [3,1,1] => [1,0,1,1,0,0,1,0] => [3,1,5,2,4] => 0
[5,2,4,3,1] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[5,3,2,1,4] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[5,3,2,4,1] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[5,3,4,2,1] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[5,4,1,2,3] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[5,4,2,3,1] => [3,2] => [1,1,0,0,1,0,1,0] => [2,5,1,3,4] => 3
[5,4,3,2,1] => [2,2,1] => [1,0,1,0,1,1,0,0] => [4,1,2,5,3] => 0
[1,3,2,5,6,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,3,2,6,4,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,3,4,2,6,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,3,5,6,2,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,3,6,5,4,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,4,2,3,6,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,4,5,2,6,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,4,5,6,3,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,4,6,2,3,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,4,6,5,2,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,5,2,6,3,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,5,4,3,6,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,5,4,6,2,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,5,6,2,4,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,5,6,3,2,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,6,2,5,4,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,6,4,3,2,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,6,4,5,3,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,6,5,2,3,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[1,6,5,3,4,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
>>> Load all 201 entries. <<<
[2,1,3,5,6,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,1,3,6,4,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,1,4,5,3,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,1,4,6,5,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,1,5,3,4,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,1,5,4,6,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,1,6,3,5,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,1,6,4,3,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,3,1,4,6,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,3,1,5,4,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,3,1,6,5,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,4,3,1,6,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,4,5,1,3,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,4,6,1,5,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,5,3,6,1,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,5,4,3,1,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,5,6,4,1,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,6,3,5,4,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,6,4,3,5,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[2,6,5,4,3,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,1,2,4,6,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,1,2,5,4,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,1,2,6,5,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,2,1,5,6,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,2,1,6,4,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,2,4,1,6,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,2,5,6,1,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,2,6,5,4,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,4,1,5,2,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,4,1,6,5,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,4,5,2,1,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,4,6,2,5,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,5,1,2,4,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,5,1,4,6,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,5,4,1,2,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,5,6,4,2,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,6,1,2,5,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,6,1,4,2,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,6,4,1,5,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[3,6,5,4,1,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,1,3,2,6,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,1,5,2,3,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,1,6,2,5,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,2,1,3,6,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,2,5,1,6,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,2,5,6,3,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,2,6,1,3,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,2,6,5,1,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,3,2,5,1,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,3,2,6,5,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,3,5,1,2,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,3,6,1,5,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,5,1,3,2,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,5,2,1,3,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,5,3,1,6,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,5,3,6,2,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,6,1,3,5,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,6,2,1,5,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,6,3,1,2,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[4,6,3,5,1,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,1,3,6,2,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,1,4,3,2,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,1,6,4,2,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,2,1,6,3,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,2,4,3,6,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,2,4,6,1,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,2,6,1,4,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,2,6,3,1,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,3,2,1,4,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,3,2,4,6,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,3,4,2,1,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,3,6,4,1,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,4,1,2,3,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,4,2,3,1,6] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,4,3,2,6,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,4,3,6,1,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,6,1,4,3,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,6,2,4,1,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,6,3,1,4,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[5,6,3,2,1,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,1,3,5,4,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,1,4,3,5,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,1,5,4,3,2] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,2,1,5,4,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,2,4,3,1,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,2,4,5,3,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,2,5,1,3,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,2,5,3,4,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,3,2,1,5,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,3,2,4,1,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,3,4,2,5,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,3,5,4,2,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,4,1,2,5,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,4,2,3,5,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,4,3,2,1,5] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,4,3,5,2,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,5,1,4,2,3] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,5,2,4,3,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,5,3,1,2,4] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
[6,5,3,2,4,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [5,1,2,3,4] => 0
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Description
The number of inversions of the second entry of a permutation.
This is, for a permutation $\pi$ of length $n$,
$$\# \{2 < k \leq n \mid \pi(2) > \pi(k)\}.$$
The number of inversions of the first entry is St000054The first entry of the permutation. and the number of inversions of the third entry is St001556The number of inversions of the third entry of a permutation.. The sequence of inversions of all the entries define the Lehmer code of a permutation.
Map
cycle type
Description
The cycle type of a permutation as a partition.
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.