Identifier
Values
[1,0] => [1] => 1
[1,0,1,0] => [2,1] => 1
[1,1,0,0] => [1,2] => 2
[1,0,1,0,1,0] => [2,3,1] => 1
[1,0,1,1,0,0] => [2,1,3] => 2
[1,1,0,0,1,0] => [1,3,2] => 2
[1,1,0,1,0,0] => [3,1,2] => 1
[1,1,1,0,0,0] => [1,2,3] => 3
[1,0,1,0,1,0,1,0] => [2,3,4,1] => 1
[1,0,1,0,1,1,0,0] => [2,3,1,4] => 2
[1,0,1,1,0,0,1,0] => [2,1,4,3] => 2
[1,0,1,1,0,1,0,0] => [2,4,1,3] => 1
[1,0,1,1,1,0,0,0] => [2,1,3,4] => 3
[1,1,0,0,1,0,1,0] => [1,3,4,2] => 2
[1,1,0,0,1,1,0,0] => [1,3,2,4] => 3
[1,1,0,1,0,0,1,0] => [3,1,4,2] => 1
[1,1,0,1,0,1,0,0] => [3,4,1,2] => 1
[1,1,0,1,1,0,0,0] => [3,1,2,4] => 2
[1,1,1,0,0,0,1,0] => [1,2,4,3] => 3
[1,1,1,0,0,1,0,0] => [1,4,2,3] => 2
[1,1,1,0,1,0,0,0] => [4,1,2,3] => 1
[1,1,1,1,0,0,0,0] => [1,2,3,4] => 4
[1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1] => 1
[1,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5] => 2
[1,0,1,0,1,1,0,0,1,0] => [2,3,1,5,4] => 2
[1,0,1,0,1,1,0,1,0,0] => [2,3,5,1,4] => 1
[1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] => 3
[1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3] => 2
[1,0,1,1,0,0,1,1,0,0] => [2,1,4,3,5] => 3
[1,0,1,1,0,1,0,0,1,0] => [2,4,1,5,3] => 1
[1,0,1,1,0,1,0,1,0,0] => [2,4,5,1,3] => 1
[1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] => 2
[1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] => 3
[1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] => 2
[1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] => 1
[1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => 4
[1,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2] => 2
[1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5] => 3
[1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4] => 3
[1,1,0,0,1,1,0,1,0,0] => [1,3,5,2,4] => 2
[1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] => 4
[1,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2] => 1
[1,1,0,1,0,0,1,1,0,0] => [3,1,4,2,5] => 2
[1,1,0,1,0,1,0,0,1,0] => [3,4,1,5,2] => 1
[1,1,0,1,0,1,0,1,0,0] => [3,4,5,1,2] => 1
[1,1,0,1,0,1,1,0,0,0] => [3,4,1,2,5] => 2
[1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] => 2
[1,1,0,1,1,0,0,1,0,0] => [3,1,5,2,4] => 1
[1,1,0,1,1,0,1,0,0,0] => [3,5,1,2,4] => 1
[1,1,0,1,1,1,0,0,0,0] => [3,1,2,4,5] => 3
[1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] => 3
[1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] => 4
[1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] => 2
[1,1,1,0,0,1,0,1,0,0] => [1,4,5,2,3] => 2
[1,1,1,0,0,1,1,0,0,0] => [1,4,2,3,5] => 3
[1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] => 1
[1,1,1,0,1,0,0,1,0,0] => [4,1,5,2,3] => 1
[1,1,1,0,1,0,1,0,0,0] => [4,5,1,2,3] => 1
[1,1,1,0,1,1,0,0,0,0] => [4,1,2,3,5] => 2
[1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => 4
[1,1,1,1,0,0,0,1,0,0] => [1,2,5,3,4] => 3
[1,1,1,1,0,0,1,0,0,0] => [1,5,2,3,4] => 2
[1,1,1,1,0,1,0,0,0,0] => [5,1,2,3,4] => 1
[1,1,1,1,1,0,0,0,0,0] => [1,2,3,4,5] => 5
[1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1] => 1
[1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6] => 2
[1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,1,6,5] => 2
[1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,6,1,5] => 1
[1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,6] => 3
[1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,1,5,6,4] => 2
[1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,6] => 3
[1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,5,1,6,4] => 1
[1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,5,6,1,4] => 1
[1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4,6] => 2
[1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,1,4,6,5] => 3
[1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,5] => 2
[1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,6,1,4,5] => 1
[1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => 4
[1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,5,6,3] => 2
[1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6] => 3
[1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5] => 3
[1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,6,3,5] => 2
[1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,5,6] => 4
[1,0,1,1,0,1,0,0,1,0,1,0] => [2,4,1,5,6,3] => 1
[1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,5,3,6] => 2
[1,0,1,1,0,1,0,1,0,0,1,0] => [2,4,5,1,6,3] => 1
[1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,5,6,1,3] => 1
[1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,6] => 2
[1,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,6,5] => 2
[1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,3,5] => 1
[1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,3,5] => 1
[1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => 3
[1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,5,6,4] => 3
[1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,5,4,6] => 4
[1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4] => 2
[1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,6,3,4] => 2
[1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => 3
[1,0,1,1,1,0,1,0,0,0,1,0] => [2,5,1,3,6,4] => 1
[1,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,3,4] => 1
[1,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,3,4] => 1
[1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => 2
>>> Load all 306 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => 4
[1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => 3
[1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => 2
[1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => 1
[1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => 5
[1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,2] => 2
[1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,5,2,6] => 3
[1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,6,5] => 3
[1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,6,2,5] => 2
[1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,6] => 4
[1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,6,4] => 3
[1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,6] => 4
[1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,5,2,6,4] => 2
[1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,5,6,2,4] => 2
[1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4,6] => 3
[1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,4,6,5] => 4
[1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,5] => 3
[1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,6,2,4,5] => 2
[1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => 5
[1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,5,6,2] => 1
[1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,4,5,2,6] => 2
[1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5] => 2
[1,1,0,1,0,0,1,1,0,1,0,0] => [3,1,4,6,2,5] => 1
[1,1,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,5,6] => 3
[1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,5,6,2] => 1
[1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,5,2,6] => 2
[1,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,1,6,2] => 1
[1,1,0,1,0,1,0,1,0,1,0,0] => [3,4,5,6,1,2] => 1
[1,1,0,1,0,1,0,1,1,0,0,0] => [3,4,5,1,2,6] => 2
[1,1,0,1,0,1,1,0,0,0,1,0] => [3,4,1,2,6,5] => 2
[1,1,0,1,0,1,1,0,0,1,0,0] => [3,4,1,6,2,5] => 1
[1,1,0,1,0,1,1,0,1,0,0,0] => [3,4,6,1,2,5] => 1
[1,1,0,1,0,1,1,1,0,0,0,0] => [3,4,1,2,5,6] => 3
[1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,5,6,4] => 2
[1,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4,6] => 3
[1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4] => 1
[1,1,0,1,1,0,0,1,0,1,0,0] => [3,1,5,6,2,4] => 1
[1,1,0,1,1,0,0,1,1,0,0,0] => [3,1,5,2,4,6] => 2
[1,1,0,1,1,0,1,0,0,0,1,0] => [3,5,1,2,6,4] => 1
[1,1,0,1,1,0,1,0,0,1,0,0] => [3,5,1,6,2,4] => 1
[1,1,0,1,1,0,1,0,1,0,0,0] => [3,5,6,1,2,4] => 1
[1,1,0,1,1,0,1,1,0,0,0,0] => [3,5,1,2,4,6] => 2
[1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => 3
[1,1,0,1,1,1,0,0,0,1,0,0] => [3,1,2,6,4,5] => 2
[1,1,0,1,1,1,0,0,1,0,0,0] => [3,1,6,2,4,5] => 1
[1,1,0,1,1,1,0,1,0,0,0,0] => [3,6,1,2,4,5] => 1
[1,1,0,1,1,1,1,0,0,0,0,0] => [3,1,2,4,5,6] => 4
[1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,5,6,3] => 3
[1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6] => 4
[1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5] => 4
[1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,4,6,3,5] => 3
[1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => 5
[1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,6,3] => 2
[1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,6] => 3
[1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,5,2,6,3] => 2
[1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,5,6,2,3] => 2
[1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,5,2,3,6] => 3
[1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => 3
[1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,2,6,3,5] => 2
[1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,6,2,3,5] => 2
[1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,2,3,5,6] => 4
[1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,2,5,6,3] => 1
[1,1,1,0,1,0,0,0,1,1,0,0] => [4,1,2,5,3,6] => 2
[1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3] => 1
[1,1,1,0,1,0,0,1,0,1,0,0] => [4,1,5,6,2,3] => 1
[1,1,1,0,1,0,0,1,1,0,0,0] => [4,1,5,2,3,6] => 2
[1,1,1,0,1,0,1,0,0,0,1,0] => [4,5,1,2,6,3] => 1
[1,1,1,0,1,0,1,0,0,1,0,0] => [4,5,1,6,2,3] => 1
[1,1,1,0,1,0,1,0,1,0,0,0] => [4,5,6,1,2,3] => 1
[1,1,1,0,1,0,1,1,0,0,0,0] => [4,5,1,2,3,6] => 2
[1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => 2
[1,1,1,0,1,1,0,0,0,1,0,0] => [4,1,2,6,3,5] => 1
[1,1,1,0,1,1,0,0,1,0,0,0] => [4,1,6,2,3,5] => 1
[1,1,1,0,1,1,0,1,0,0,0,0] => [4,6,1,2,3,5] => 1
[1,1,1,0,1,1,1,0,0,0,0,0] => [4,1,2,3,5,6] => 3
[1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => 4
[1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => 5
[1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => 3
[1,1,1,1,0,0,0,1,0,1,0,0] => [1,2,5,6,3,4] => 3
[1,1,1,1,0,0,0,1,1,0,0,0] => [1,2,5,3,4,6] => 4
[1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => 2
[1,1,1,1,0,0,1,0,0,1,0,0] => [1,5,2,6,3,4] => 2
[1,1,1,1,0,0,1,0,1,0,0,0] => [1,5,6,2,3,4] => 2
[1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,2,3,4,6] => 3
[1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => 1
[1,1,1,1,0,1,0,0,0,1,0,0] => [5,1,2,6,3,4] => 1
[1,1,1,1,0,1,0,0,1,0,0,0] => [5,1,6,2,3,4] => 1
[1,1,1,1,0,1,0,1,0,0,0,0] => [5,6,1,2,3,4] => 1
[1,1,1,1,0,1,1,0,0,0,0,0] => [5,1,2,3,4,6] => 2
[1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => 5
[1,1,1,1,1,0,0,0,0,1,0,0] => [1,2,3,6,4,5] => 4
[1,1,1,1,1,0,0,0,1,0,0,0] => [1,2,6,3,4,5] => 3
[1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,2,3,4,5] => 2
[1,1,1,1,1,0,1,0,0,0,0,0] => [6,1,2,3,4,5] => 1
[1,1,1,1,1,1,0,0,0,0,0,0] => [1,2,3,4,5,6] => 6
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,7,2] => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [1,3,4,5,6,2,7] => 3
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,4,5,2,7,6] => 3
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [1,3,4,5,7,2,6] => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,2,6,7] => 4
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [1,3,4,2,6,7,5] => 3
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [1,3,4,2,6,5,7] => 4
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [1,3,4,6,2,7,5] => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,4,6,7,2,5] => 2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,4,6,2,5,7] => 3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,4,2,5,7,6] => 4
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,4,2,7,5,6] => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,4,7,2,5,6] => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,6,7,4] => 3
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,5,6,4,7] => 4
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6] => 4
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,7,4,6] => 3
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,6,7] => 5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [1,3,5,2,6,7,4] => 2
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,3,5,2,6,4,7] => 3
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,5,6,2,7,4] => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,5,6,7,2,4] => 2
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,3,5,6,2,4,7] => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,7,6] => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,7,4,6] => 2
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,7,2,4,6] => 2
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,4,6,7,5] => 4
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2,4,6,5,7] => 5
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5] => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,3,2,6,7,4,5] => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,5,7] => 4
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,3,6,2,4,7,5] => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,6,2,7,4,5] => 2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,3,6,7,2,4,5] => 2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => 3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => 5
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => 4
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => 3
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [1,2,4,5,6,7,3] => 3
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,2,4,5,6,3,7] => 4
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6] => 4
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,2,4,5,7,3,6] => 3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,2,4,5,3,6,7] => 5
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,7,5] => 4
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,7] => 5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,2,4,6,3,7,5] => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,2,4,6,7,3,5] => 3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5,7] => 4
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,5,7,6] => 5
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,5,6] => 4
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,2,4,7,3,5,6] => 3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => 6
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,6,7,3] => 2
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,2,5,6,3,7] => 3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6] => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,2,5,7,3,6] => 2
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,6,7] => 4
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,4,5,2,6,7,3] => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,4,5,2,6,3,7] => 3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,4,5,6,2,7,3] => 2
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [1,4,5,6,7,2,3] => 2
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [1,4,5,6,2,3,7] => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,5,2,3,7,6] => 3
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [1,4,5,2,7,3,6] => 2
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [1,4,5,7,2,3,6] => 2
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [1,4,5,2,3,6,7] => 4
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,3,6,7,5] => 3
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5,7] => 4
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5] => 2
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [1,4,2,6,7,3,5] => 2
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,2,6,3,5,7] => 3
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,6,2,3,7,5] => 2
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [1,4,6,2,7,3,5] => 2
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [1,4,6,2,3,5,7] => 3
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => 4
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [1,4,2,3,7,5,6] => 3
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [1,4,2,7,3,5,6] => 2
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,2,3,5,6,7] => 5
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => 5
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => 5
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => 4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => 6
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => 3
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => 4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => 3
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [1,2,5,6,7,3,4] => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [1,2,5,6,3,4,7] => 4
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => 4
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [1,2,5,3,7,4,6] => 3
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [1,2,5,7,3,4,6] => 3
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [1,2,5,3,4,6,7] => 5
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => 5
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => 6
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => 4
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [1,2,3,6,7,4,5] => 4
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,2,3,6,4,5,7] => 5
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => 3
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [1,2,6,3,7,4,5] => 3
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [1,2,6,7,3,4,5] => 3
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [1,2,6,3,4,5,7] => 4
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => 6
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [1,2,3,4,7,5,6] => 5
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [1,2,3,7,4,5,6] => 4
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,2,7,3,4,5,6] => 3
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,2,3,4,5,6,7] => 7
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Description
The number of topologically connected components of the chord diagram of a permutation.
The chord diagram of a permutation $\pi\in\mathfrak S_n$ is obtained by placing labels $1,\dots,n$ in cyclic order on a cycle and drawing a (straight) arc from $i$ to $\pi(i)$ for every label $i$.
This statistic records the number of topologically connected components in the chord diagram. In particular, if two arcs cross, all four labels connected by the two arcs are in the same component.
The permutation $\pi\in\mathfrak S_n$ stabilizes an interval $I=\{a,a+1,\dots,b\}$ if $\pi(I)=I$. It is stabilized-interval-free, if the only interval $\pi$ stablizes is $\{1,\dots,n\}$. Thus, this statistic is $1$ if $\pi$ is stabilized-interval-free.
Map
to 321-avoiding permutation (Billey-Jockusch-Stanley)
Description
The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.