Identifier
Values
[1,0] => [1] => [1] => 0
[1,0,1,0] => [2,1] => [2,1] => 1
[1,1,0,0] => [1,2] => [1,2] => 0
[1,0,1,0,1,0] => [3,2,1] => [3,2,1] => 1
[1,0,1,1,0,0] => [2,3,1] => [2,3,1] => 1
[1,1,0,0,1,0] => [3,1,2] => [2,3,1] => 1
[1,1,0,1,0,0] => [2,1,3] => [2,1,3] => 1
[1,1,1,0,0,0] => [1,2,3] => [1,2,3] => 0
[1,0,1,0,1,0,1,0] => [4,3,2,1] => [4,3,2,1] => 2
[1,0,1,0,1,1,0,0] => [3,4,2,1] => [3,4,2,1] => 2
[1,0,1,1,0,0,1,0] => [4,2,3,1] => [3,4,2,1] => 2
[1,0,1,1,0,1,0,0] => [3,2,4,1] => [3,2,4,1] => 1
[1,0,1,1,1,0,0,0] => [2,3,4,1] => [2,3,4,1] => 1
[1,1,0,0,1,0,1,0] => [4,3,1,2] => [3,4,2,1] => 2
[1,1,0,0,1,1,0,0] => [3,4,1,2] => [4,3,2,1] => 2
[1,1,0,1,0,0,1,0] => [4,2,1,3] => [3,2,4,1] => 1
[1,1,0,1,0,1,0,0] => [3,2,1,4] => [3,2,1,4] => 1
[1,1,0,1,1,0,0,0] => [2,3,1,4] => [2,3,1,4] => 1
[1,1,1,0,0,0,1,0] => [4,1,2,3] => [2,3,4,1] => 1
[1,1,1,0,0,1,0,0] => [3,1,2,4] => [2,3,1,4] => 1
[1,1,1,0,1,0,0,0] => [2,1,3,4] => [2,1,3,4] => 1
[1,1,1,1,0,0,0,0] => [1,2,3,4] => [1,2,3,4] => 0
[1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1] => [5,4,3,2,1] => 2
[1,0,1,0,1,0,1,1,0,0] => [4,5,3,2,1] => [4,5,3,2,1] => 2
[1,0,1,0,1,1,0,0,1,0] => [5,3,4,2,1] => [4,5,3,2,1] => 2
[1,0,1,0,1,1,0,1,0,0] => [4,3,5,2,1] => [4,3,5,2,1] => 2
[1,0,1,0,1,1,1,0,0,0] => [3,4,5,2,1] => [3,4,5,2,1] => 2
[1,0,1,1,0,0,1,0,1,0] => [5,4,2,3,1] => [4,5,3,2,1] => 2
[1,0,1,1,0,0,1,1,0,0] => [4,5,2,3,1] => [5,4,3,2,1] => 2
[1,0,1,1,0,1,0,0,1,0] => [5,3,2,4,1] => [4,3,5,2,1] => 2
[1,0,1,1,0,1,0,1,0,0] => [4,3,2,5,1] => [4,3,2,5,1] => 2
[1,0,1,1,0,1,1,0,0,0] => [3,4,2,5,1] => [3,4,2,5,1] => 2
[1,0,1,1,1,0,0,0,1,0] => [5,2,3,4,1] => [3,4,5,2,1] => 2
[1,0,1,1,1,0,0,1,0,0] => [4,2,3,5,1] => [3,4,2,5,1] => 2
[1,0,1,1,1,0,1,0,0,0] => [3,2,4,5,1] => [3,2,4,5,1] => 1
[1,0,1,1,1,1,0,0,0,0] => [2,3,4,5,1] => [2,3,4,5,1] => 1
[1,1,0,0,1,0,1,0,1,0] => [5,4,3,1,2] => [4,5,3,2,1] => 2
[1,1,0,0,1,0,1,1,0,0] => [4,5,3,1,2] => [5,4,3,2,1] => 2
[1,1,0,0,1,1,0,0,1,0] => [5,3,4,1,2] => [5,4,3,2,1] => 2
[1,1,0,0,1,1,0,1,0,0] => [4,3,5,1,2] => [5,3,4,2,1] => 2
[1,1,0,0,1,1,1,0,0,0] => [3,4,5,1,2] => [3,5,4,2,1] => 2
[1,1,0,1,0,0,1,0,1,0] => [5,4,2,1,3] => [4,3,5,2,1] => 2
[1,1,0,1,0,0,1,1,0,0] => [4,5,2,1,3] => [3,4,5,2,1] => 2
[1,1,0,1,0,1,0,0,1,0] => [5,3,2,1,4] => [4,3,2,5,1] => 2
[1,1,0,1,0,1,0,1,0,0] => [4,3,2,1,5] => [4,3,2,1,5] => 2
[1,1,0,1,0,1,1,0,0,0] => [3,4,2,1,5] => [3,4,2,1,5] => 2
[1,1,0,1,1,0,0,0,1,0] => [5,2,3,1,4] => [3,4,2,5,1] => 2
[1,1,0,1,1,0,0,1,0,0] => [4,2,3,1,5] => [3,4,2,1,5] => 2
[1,1,0,1,1,0,1,0,0,0] => [3,2,4,1,5] => [3,2,4,1,5] => 1
[1,1,0,1,1,1,0,0,0,0] => [2,3,4,1,5] => [2,3,4,1,5] => 1
[1,1,1,0,0,0,1,0,1,0] => [5,4,1,2,3] => [3,4,5,2,1] => 2
[1,1,1,0,0,0,1,1,0,0] => [4,5,1,2,3] => [4,3,5,2,1] => 2
[1,1,1,0,0,1,0,0,1,0] => [5,3,1,2,4] => [3,4,2,5,1] => 2
[1,1,1,0,0,1,0,1,0,0] => [4,3,1,2,5] => [3,4,2,1,5] => 2
[1,1,1,0,0,1,1,0,0,0] => [3,4,1,2,5] => [4,3,2,1,5] => 2
[1,1,1,0,1,0,0,0,1,0] => [5,2,1,3,4] => [3,2,4,5,1] => 1
[1,1,1,0,1,0,0,1,0,0] => [4,2,1,3,5] => [3,2,4,1,5] => 1
[1,1,1,0,1,0,1,0,0,0] => [3,2,1,4,5] => [3,2,1,4,5] => 1
[1,1,1,0,1,1,0,0,0,0] => [2,3,1,4,5] => [2,3,1,4,5] => 1
[1,1,1,1,0,0,0,0,1,0] => [5,1,2,3,4] => [2,3,4,5,1] => 1
[1,1,1,1,0,0,0,1,0,0] => [4,1,2,3,5] => [2,3,4,1,5] => 1
[1,1,1,1,0,0,1,0,0,0] => [3,1,2,4,5] => [2,3,1,4,5] => 1
[1,1,1,1,0,1,0,0,0,0] => [2,1,3,4,5] => [2,1,3,4,5] => 1
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[1,0,1,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => 3
[1,0,1,0,1,0,1,0,1,1,0,0] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => 3
[1,0,1,0,1,0,1,1,0,0,1,0] => [6,4,5,3,2,1] => [5,6,4,3,2,1] => 3
[1,0,1,0,1,0,1,1,0,1,0,0] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => 3
[1,0,1,0,1,0,1,1,1,0,0,0] => [4,5,6,3,2,1] => [4,5,6,3,2,1] => 3
[1,0,1,0,1,1,0,0,1,0,1,0] => [6,5,3,4,2,1] => [5,6,4,3,2,1] => 3
[1,0,1,0,1,1,0,0,1,1,0,0] => [5,6,3,4,2,1] => [6,5,4,3,2,1] => 3
[1,0,1,0,1,1,0,1,0,0,1,0] => [6,4,3,5,2,1] => [5,4,6,3,2,1] => 3
[1,0,1,0,1,1,0,1,0,1,0,0] => [5,4,3,6,2,1] => [5,4,3,6,2,1] => 2
[1,0,1,0,1,1,0,1,1,0,0,0] => [4,5,3,6,2,1] => [4,5,3,6,2,1] => 2
[1,0,1,0,1,1,1,0,0,0,1,0] => [6,3,4,5,2,1] => [4,5,6,3,2,1] => 3
[1,0,1,0,1,1,1,0,0,1,0,0] => [5,3,4,6,2,1] => [4,5,3,6,2,1] => 2
[1,0,1,0,1,1,1,0,1,0,0,0] => [4,3,5,6,2,1] => [4,3,5,6,2,1] => 2
[1,0,1,0,1,1,1,1,0,0,0,0] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => 2
[1,0,1,1,0,0,1,0,1,0,1,0] => [6,5,4,2,3,1] => [5,6,4,3,2,1] => 3
[1,0,1,1,0,0,1,0,1,1,0,0] => [5,6,4,2,3,1] => [6,5,4,3,2,1] => 3
[1,0,1,1,0,0,1,1,0,0,1,0] => [6,4,5,2,3,1] => [6,5,4,3,2,1] => 3
[1,0,1,1,0,0,1,1,0,1,0,0] => [5,4,6,2,3,1] => [6,4,5,3,2,1] => 3
[1,0,1,1,0,0,1,1,1,0,0,0] => [4,5,6,2,3,1] => [4,6,5,3,2,1] => 3
[1,0,1,1,0,1,0,0,1,0,1,0] => [6,5,3,2,4,1] => [5,4,6,3,2,1] => 3
[1,0,1,1,0,1,0,0,1,1,0,0] => [5,6,3,2,4,1] => [4,5,6,3,2,1] => 3
[1,0,1,1,0,1,0,1,0,0,1,0] => [6,4,3,2,5,1] => [5,4,3,6,2,1] => 2
[1,0,1,1,0,1,0,1,0,1,0,0] => [5,4,3,2,6,1] => [5,4,3,2,6,1] => 2
[1,0,1,1,0,1,0,1,1,0,0,0] => [4,5,3,2,6,1] => [4,5,3,2,6,1] => 2
[1,0,1,1,0,1,1,0,0,0,1,0] => [6,3,4,2,5,1] => [4,5,3,6,2,1] => 2
[1,0,1,1,0,1,1,0,0,1,0,0] => [5,3,4,2,6,1] => [4,5,3,2,6,1] => 2
[1,0,1,1,0,1,1,0,1,0,0,0] => [4,3,5,2,6,1] => [4,3,5,2,6,1] => 2
[1,0,1,1,0,1,1,1,0,0,0,0] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => 2
[1,0,1,1,1,0,0,0,1,0,1,0] => [6,5,2,3,4,1] => [4,5,6,3,2,1] => 3
[1,0,1,1,1,0,0,0,1,1,0,0] => [5,6,2,3,4,1] => [5,4,6,3,2,1] => 3
[1,0,1,1,1,0,0,1,0,0,1,0] => [6,4,2,3,5,1] => [4,5,3,6,2,1] => 2
[1,0,1,1,1,0,0,1,0,1,0,0] => [5,4,2,3,6,1] => [4,5,3,2,6,1] => 2
[1,0,1,1,1,0,0,1,1,0,0,0] => [4,5,2,3,6,1] => [5,4,3,2,6,1] => 2
[1,0,1,1,1,0,1,0,0,0,1,0] => [6,3,2,4,5,1] => [4,3,5,6,2,1] => 2
[1,0,1,1,1,0,1,0,0,1,0,0] => [5,3,2,4,6,1] => [4,3,5,2,6,1] => 2
[1,0,1,1,1,0,1,0,1,0,0,0] => [4,3,2,5,6,1] => [4,3,2,5,6,1] => 2
[1,0,1,1,1,0,1,1,0,0,0,0] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => 2
>>> Load all 197 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [6,2,3,4,5,1] => [3,4,5,6,2,1] => 2
[1,0,1,1,1,1,0,0,0,1,0,0] => [5,2,3,4,6,1] => [3,4,5,2,6,1] => 2
[1,0,1,1,1,1,0,0,1,0,0,0] => [4,2,3,5,6,1] => [3,4,2,5,6,1] => 2
[1,0,1,1,1,1,0,1,0,0,0,0] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => 1
[1,0,1,1,1,1,1,0,0,0,0,0] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => 1
[1,1,0,0,1,0,1,0,1,0,1,0] => [6,5,4,3,1,2] => [5,6,4,3,2,1] => 3
[1,1,0,0,1,0,1,0,1,1,0,0] => [5,6,4,3,1,2] => [6,5,4,3,2,1] => 3
[1,1,0,0,1,0,1,1,0,0,1,0] => [6,4,5,3,1,2] => [6,5,4,3,2,1] => 3
[1,1,0,0,1,0,1,1,0,1,0,0] => [5,4,6,3,1,2] => [6,4,5,3,2,1] => 3
[1,1,0,0,1,0,1,1,1,0,0,0] => [4,5,6,3,1,2] => [4,6,5,3,2,1] => 3
[1,1,0,0,1,1,0,0,1,0,1,0] => [6,5,3,4,1,2] => [6,5,4,3,2,1] => 3
[1,1,0,0,1,1,0,0,1,1,0,0] => [5,6,3,4,1,2] => [5,6,4,3,2,1] => 3
[1,1,0,0,1,1,0,1,0,0,1,0] => [6,4,3,5,1,2] => [6,4,5,3,2,1] => 3
[1,1,0,0,1,1,0,1,0,1,0,0] => [5,4,3,6,1,2] => [6,4,3,5,2,1] => 2
[1,1,0,0,1,1,0,1,1,0,0,0] => [4,5,3,6,1,2] => [4,6,3,5,2,1] => 2
[1,1,0,0,1,1,1,0,0,0,1,0] => [6,3,4,5,1,2] => [4,6,5,3,2,1] => 3
[1,1,0,0,1,1,1,0,0,1,0,0] => [5,3,4,6,1,2] => [4,6,3,5,2,1] => 2
[1,1,0,0,1,1,1,0,1,0,0,0] => [4,3,5,6,1,2] => [4,3,6,5,2,1] => 2
[1,1,0,0,1,1,1,1,0,0,0,0] => [3,4,5,6,1,2] => [3,4,6,5,2,1] => 2
[1,1,0,1,0,0,1,0,1,0,1,0] => [6,5,4,2,1,3] => [5,4,6,3,2,1] => 3
[1,1,0,1,0,0,1,0,1,1,0,0] => [5,6,4,2,1,3] => [4,5,6,3,2,1] => 3
[1,1,0,1,0,0,1,1,0,0,1,0] => [6,4,5,2,1,3] => [4,5,6,3,2,1] => 3
[1,1,0,1,0,0,1,1,0,1,0,0] => [5,4,6,2,1,3] => [4,6,5,3,2,1] => 3
[1,1,0,1,0,0,1,1,1,0,0,0] => [4,5,6,2,1,3] => [6,4,5,3,2,1] => 3
[1,1,0,1,0,1,0,0,1,0,1,0] => [6,5,3,2,1,4] => [5,4,3,6,2,1] => 2
[1,1,0,1,0,1,0,0,1,1,0,0] => [5,6,3,2,1,4] => [4,5,3,6,2,1] => 2
[1,1,0,1,0,1,0,1,0,0,1,0] => [6,4,3,2,1,5] => [5,4,3,2,6,1] => 2
[1,1,0,1,0,1,0,1,0,1,0,0] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => 2
[1,1,0,1,0,1,0,1,1,0,0,0] => [4,5,3,2,1,6] => [4,5,3,2,1,6] => 2
[1,1,0,1,0,1,1,0,0,0,1,0] => [6,3,4,2,1,5] => [4,5,3,2,6,1] => 2
[1,1,0,1,0,1,1,0,0,1,0,0] => [5,3,4,2,1,6] => [4,5,3,2,1,6] => 2
[1,1,0,1,0,1,1,0,1,0,0,0] => [4,3,5,2,1,6] => [4,3,5,2,1,6] => 2
[1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => 2
[1,1,0,1,1,0,0,0,1,0,1,0] => [6,5,2,3,1,4] => [4,5,3,6,2,1] => 2
[1,1,0,1,1,0,0,0,1,1,0,0] => [5,6,2,3,1,4] => [5,4,3,6,2,1] => 2
[1,1,0,1,1,0,0,1,0,0,1,0] => [6,4,2,3,1,5] => [4,5,3,2,6,1] => 2
[1,1,0,1,1,0,0,1,0,1,0,0] => [5,4,2,3,1,6] => [4,5,3,2,1,6] => 2
[1,1,0,1,1,0,0,1,1,0,0,0] => [4,5,2,3,1,6] => [5,4,3,2,1,6] => 2
[1,1,0,1,1,0,1,0,0,0,1,0] => [6,3,2,4,1,5] => [4,3,5,2,6,1] => 2
[1,1,0,1,1,0,1,0,0,1,0,0] => [5,3,2,4,1,6] => [4,3,5,2,1,6] => 2
[1,1,0,1,1,0,1,0,1,0,0,0] => [4,3,2,5,1,6] => [4,3,2,5,1,6] => 2
[1,1,0,1,1,0,1,1,0,0,0,0] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => 2
[1,1,0,1,1,1,0,0,0,0,1,0] => [6,2,3,4,1,5] => [3,4,5,2,6,1] => 2
[1,1,0,1,1,1,0,0,0,1,0,0] => [5,2,3,4,1,6] => [3,4,5,2,1,6] => 2
[1,1,0,1,1,1,0,0,1,0,0,0] => [4,2,3,5,1,6] => [3,4,2,5,1,6] => 2
[1,1,0,1,1,1,0,1,0,0,0,0] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => 1
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => 1
[1,1,1,0,0,0,1,0,1,0,1,0] => [6,5,4,1,2,3] => [4,5,6,3,2,1] => 3
[1,1,1,0,0,0,1,0,1,1,0,0] => [5,6,4,1,2,3] => [5,4,6,3,2,1] => 3
[1,1,1,0,0,0,1,1,0,0,1,0] => [6,4,5,1,2,3] => [5,4,6,3,2,1] => 3
[1,1,1,0,0,0,1,1,0,1,0,0] => [5,4,6,1,2,3] => [5,6,4,3,2,1] => 3
[1,1,1,0,0,0,1,1,1,0,0,0] => [4,5,6,1,2,3] => [6,5,4,3,2,1] => 3
[1,1,1,0,0,1,0,0,1,0,1,0] => [6,5,3,1,2,4] => [4,5,3,6,2,1] => 2
[1,1,1,0,0,1,0,0,1,1,0,0] => [5,6,3,1,2,4] => [5,4,3,6,2,1] => 2
[1,1,1,0,0,1,0,1,0,0,1,0] => [6,4,3,1,2,5] => [4,5,3,2,6,1] => 2
[1,1,1,0,0,1,0,1,0,1,0,0] => [5,4,3,1,2,6] => [4,5,3,2,1,6] => 2
[1,1,1,0,0,1,0,1,1,0,0,0] => [4,5,3,1,2,6] => [5,4,3,2,1,6] => 2
[1,1,1,0,0,1,1,0,0,0,1,0] => [6,3,4,1,2,5] => [5,4,3,2,6,1] => 2
[1,1,1,0,0,1,1,0,0,1,0,0] => [5,3,4,1,2,6] => [5,4,3,2,1,6] => 2
[1,1,1,0,0,1,1,0,1,0,0,0] => [4,3,5,1,2,6] => [5,3,4,2,1,6] => 2
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,4,5,1,2,6] => [3,5,4,2,1,6] => 2
[1,1,1,0,1,0,0,0,1,0,1,0] => [6,5,2,1,3,4] => [4,3,5,6,2,1] => 2
[1,1,1,0,1,0,0,0,1,1,0,0] => [5,6,2,1,3,4] => [3,4,5,6,2,1] => 2
[1,1,1,0,1,0,0,1,0,0,1,0] => [6,4,2,1,3,5] => [4,3,5,2,6,1] => 2
[1,1,1,0,1,0,0,1,0,1,0,0] => [5,4,2,1,3,6] => [4,3,5,2,1,6] => 2
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,5,2,1,3,6] => [3,4,5,2,1,6] => 2
[1,1,1,0,1,0,1,0,0,0,1,0] => [6,3,2,1,4,5] => [4,3,2,5,6,1] => 2
[1,1,1,0,1,0,1,0,0,1,0,0] => [5,3,2,1,4,6] => [4,3,2,5,1,6] => 2
[1,1,1,0,1,0,1,0,1,0,0,0] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => 2
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => 2
[1,1,1,0,1,1,0,0,0,0,1,0] => [6,2,3,1,4,5] => [3,4,2,5,6,1] => 2
[1,1,1,0,1,1,0,0,0,1,0,0] => [5,2,3,1,4,6] => [3,4,2,5,1,6] => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => [4,2,3,1,5,6] => [3,4,2,1,5,6] => 2
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => 1
[1,1,1,0,1,1,1,0,0,0,0,0] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => 1
[1,1,1,1,0,0,0,0,1,0,1,0] => [6,5,1,2,3,4] => [3,4,5,6,2,1] => 2
[1,1,1,1,0,0,0,0,1,1,0,0] => [5,6,1,2,3,4] => [4,3,5,6,2,1] => 2
[1,1,1,1,0,0,0,1,0,0,1,0] => [6,4,1,2,3,5] => [3,4,5,2,6,1] => 2
[1,1,1,1,0,0,0,1,0,1,0,0] => [5,4,1,2,3,6] => [3,4,5,2,1,6] => 2
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,5,1,2,3,6] => [4,3,5,2,1,6] => 2
[1,1,1,1,0,0,1,0,0,0,1,0] => [6,3,1,2,4,5] => [3,4,2,5,6,1] => 2
[1,1,1,1,0,0,1,0,0,1,0,0] => [5,3,1,2,4,6] => [3,4,2,5,1,6] => 2
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,1,2,5,6] => [3,4,2,1,5,6] => 2
[1,1,1,1,0,0,1,1,0,0,0,0] => [3,4,1,2,5,6] => [4,3,2,1,5,6] => 2
[1,1,1,1,0,1,0,0,0,0,1,0] => [6,2,1,3,4,5] => [3,2,4,5,6,1] => 1
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,2,1,3,4,6] => [3,2,4,5,1,6] => 1
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,2,1,3,5,6] => [3,2,4,1,5,6] => 1
[1,1,1,1,0,1,0,1,0,0,0,0] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => 1
[1,1,1,1,0,1,1,0,0,0,0,0] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => 1
[1,1,1,1,1,0,0,0,0,0,1,0] => [6,1,2,3,4,5] => [2,3,4,5,6,1] => 1
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,1,2,3,4,6] => [2,3,4,5,1,6] => 1
[1,1,1,1,1,0,0,0,1,0,0,0] => [4,1,2,3,5,6] => [2,3,4,1,5,6] => 1
[1,1,1,1,1,0,0,1,0,0,0,0] => [3,1,2,4,5,6] => [2,3,1,4,5,6] => 1
[1,1,1,1,1,0,1,0,0,0,0,0] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => 1
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => 0
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Description
The sum of the minimum of the number of exceedances and deficiencies in each cycle of a permutation.
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
Map
catalanization
Description
The catalanization of a permutation.
For a permutation $\sigma$, this is the product of the reflections corresponding to the inversions of $\sigma$ in lex-order.
A permutation is $231$-avoiding if and only if it is a fixpoint of this map. Also, for every permutation there exists an index $k$ such that the $k$-fold application of this map is $231$-avoiding.