Identifier
Values
[1,0] => [1] => 0
[1,0,1,0] => [1,2] => 0
[1,1,0,0] => [2,1] => 2
[1,0,1,0,1,0] => [1,2,3] => 0
[1,0,1,1,0,0] => [1,3,2] => 4
[1,1,0,0,1,0] => [2,1,3] => 2
[1,1,0,1,0,0] => [2,3,1] => 3
[1,1,1,0,0,0] => [3,2,1] => 6
[1,0,1,0,1,0,1,0] => [1,2,3,4] => 0
[1,0,1,0,1,1,0,0] => [1,2,4,3] => 6
[1,0,1,1,0,0,1,0] => [1,3,2,4] => 4
[1,0,1,1,0,1,0,0] => [1,3,4,2] => 5
[1,0,1,1,1,0,0,0] => [1,4,3,2] => 10
[1,1,0,0,1,0,1,0] => [2,1,3,4] => 2
[1,1,0,0,1,1,0,0] => [2,1,4,3] => 8
[1,1,0,1,0,0,1,0] => [2,3,1,4] => 3
[1,1,0,1,0,1,0,0] => [2,3,4,1] => 4
[1,1,0,1,1,0,0,0] => [2,4,3,1] => 9
[1,1,1,0,0,0,1,0] => [3,2,1,4] => 6
[1,1,1,0,0,1,0,0] => [3,2,4,1] => 7
[1,1,1,0,1,0,0,0] => [3,4,2,1] => 8
[1,1,1,1,0,0,0,0] => [4,3,2,1] => 12
[1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 0
[1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 8
[1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 6
[1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 7
[1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 14
[1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 4
[1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 12
[1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 5
[1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 6
[1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 13
[1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 10
[1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 11
[1,0,1,1,1,0,1,0,0,0] => [1,4,5,3,2] => 12
[1,0,1,1,1,1,0,0,0,0] => [1,5,4,3,2] => 18
[1,1,0,0,1,0,1,0,1,0] => [2,1,3,4,5] => 2
[1,1,0,0,1,0,1,1,0,0] => [2,1,3,5,4] => 10
[1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 8
[1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 9
[1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 16
[1,1,0,1,0,0,1,0,1,0] => [2,3,1,4,5] => 3
[1,1,0,1,0,0,1,1,0,0] => [2,3,1,5,4] => 11
[1,1,0,1,0,1,0,0,1,0] => [2,3,4,1,5] => 4
[1,1,0,1,0,1,0,1,0,0] => [2,3,4,5,1] => 5
[1,1,0,1,0,1,1,0,0,0] => [2,3,5,4,1] => 12
[1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 9
[1,1,0,1,1,0,0,1,0,0] => [2,4,3,5,1] => 10
[1,1,0,1,1,0,1,0,0,0] => [2,4,5,3,1] => 11
[1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 17
[1,1,1,0,0,0,1,0,1,0] => [3,2,1,4,5] => 6
[1,1,1,0,0,0,1,1,0,0] => [3,2,1,5,4] => 14
[1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 7
[1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 8
[1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 15
[1,1,1,0,1,0,0,0,1,0] => [3,4,2,1,5] => 8
[1,1,1,0,1,0,0,1,0,0] => [3,4,2,5,1] => 9
[1,1,1,0,1,0,1,0,0,0] => [3,4,5,2,1] => 10
[1,1,1,0,1,1,0,0,0,0] => [3,5,4,2,1] => 16
[1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 12
[1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 13
[1,1,1,1,0,0,1,0,0,0] => [4,3,5,2,1] => 14
[1,1,1,1,0,1,0,0,0,0] => [4,5,3,2,1] => 15
[1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 20
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => 0
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => 10
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => 8
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => 9
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 18
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => 6
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => 16
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => 7
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 8
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => 17
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 14
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => 15
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 16
[1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,6,5,4,3] => 24
[1,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,4,5,6] => 4
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => 14
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 12
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 13
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => 22
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 5
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 15
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 6
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => 7
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 16
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => 13
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 14
[1,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,6,4,2] => 15
[1,0,1,1,0,1,1,1,0,0,0,0] => [1,3,6,5,4,2] => 23
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 10
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => 20
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => 11
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 12
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 21
[1,0,1,1,1,0,1,0,0,0,1,0] => [1,4,5,3,2,6] => 12
[1,0,1,1,1,0,1,0,0,1,0,0] => [1,4,5,3,6,2] => 13
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 14
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 22
>>> Load all 502 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 18
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 19
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,4,6,3,2] => 20
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,4,3,2] => 21
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 28
[1,1,0,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6] => 2
[1,1,0,0,1,0,1,0,1,1,0,0] => [2,1,3,4,6,5] => 12
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 10
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 11
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => 20
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 8
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 18
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 9
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => 10
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 19
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => 16
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 17
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,4,3] => 18
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => 26
[1,1,0,1,0,0,1,0,1,0,1,0] => [2,3,1,4,5,6] => 3
[1,1,0,1,0,0,1,0,1,1,0,0] => [2,3,1,4,6,5] => 13
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 11
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 12
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => 21
[1,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,1,5,6] => 4
[1,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,1,6,5] => 14
[1,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,1,6] => 5
[1,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,1] => 6
[1,1,0,1,0,1,0,1,1,0,0,0] => [2,3,4,6,5,1] => 15
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 12
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => 13
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,6,4,1] => 14
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 22
[1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => 9
[1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 19
[1,1,0,1,1,0,0,1,0,0,1,0] => [2,4,3,5,1,6] => 10
[1,1,0,1,1,0,0,1,0,1,0,0] => [2,4,3,5,6,1] => 11
[1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 20
[1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 11
[1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,3,6,1] => 12
[1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,6,3,1] => 13
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,5,3,1] => 21
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 17
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 18
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,5,4,6,3,1] => 19
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,5,6,4,3,1] => 20
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 27
[1,1,1,0,0,0,1,0,1,0,1,0] => [3,2,1,4,5,6] => 6
[1,1,1,0,0,0,1,0,1,1,0,0] => [3,2,1,4,6,5] => 16
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => 14
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 15
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 24
[1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => 7
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 17
[1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 8
[1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 9
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 18
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 15
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 16
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,5,6,4,1] => 17
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 25
[1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => 8
[1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,2,1,6,5] => 18
[1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => 9
[1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,2,5,6,1] => 10
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,2,6,5,1] => 19
[1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => 10
[1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,2,6,1] => 11
[1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,2,1] => 12
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,6,5,2,1] => 20
[1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,4,2,1,6] => 16
[1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,4,2,6,1] => 17
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,5,4,6,2,1] => 18
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,5,6,4,2,1] => 19
[1,1,1,0,1,1,1,0,0,0,0,0] => [3,6,5,4,2,1] => 26
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 12
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 22
[1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 13
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 14
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 23
[1,1,1,1,0,0,1,0,0,0,1,0] => [4,3,5,2,1,6] => 14
[1,1,1,1,0,0,1,0,0,1,0,0] => [4,3,5,2,6,1] => 15
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,5,6,2,1] => 16
[1,1,1,1,0,0,1,1,0,0,0,0] => [4,3,6,5,2,1] => 24
[1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,3,2,1,6] => 15
[1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,3,2,6,1] => 16
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,5,3,6,2,1] => 17
[1,1,1,1,0,1,0,1,0,0,0,0] => [4,5,6,3,2,1] => 18
[1,1,1,1,0,1,1,0,0,0,0,0] => [4,6,5,3,2,1] => 25
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 20
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 21
[1,1,1,1,1,0,0,0,1,0,0,0] => [5,4,3,6,2,1] => 22
[1,1,1,1,1,0,0,1,0,0,0,0] => [5,4,6,3,2,1] => 23
[1,1,1,1,1,0,1,0,0,0,0,0] => [5,6,4,3,2,1] => 24
[1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 30
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,6] => 12
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => 10
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,4,6,7,5] => 11
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,4,7,6,5] => 22
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,3,5,4,6,7] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,3,5,4,7,6] => 20
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,3,5,6,4,7] => 9
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,3,5,6,7,4] => 10
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,3,5,7,6,4] => 21
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,3,6,5,4,7] => 18
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,3,6,5,7,4] => 19
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,3,6,7,5,4] => 20
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [1,2,3,7,6,5,4] => 30
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,4,3,5,6,7] => 6
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [1,2,4,3,5,7,6] => 18
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5,7] => 16
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [1,2,4,3,6,7,5] => 17
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [1,2,4,3,7,6,5] => 28
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [1,2,4,5,3,6,7] => 7
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [1,2,4,5,3,7,6] => 19
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [1,2,4,5,6,3,7] => 8
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,4,5,6,7,3] => 9
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [1,2,4,5,7,6,3] => 20
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [1,2,4,6,5,3,7] => 17
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [1,2,4,6,5,7,3] => 18
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [1,2,4,6,7,5,3] => 19
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [1,2,4,7,6,5,3] => 29
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [1,2,5,4,3,6,7] => 14
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [1,2,5,4,3,7,6] => 26
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [1,2,5,4,6,3,7] => 15
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [1,2,5,4,6,7,3] => 16
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [1,2,5,4,7,6,3] => 27
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [1,2,5,6,4,3,7] => 16
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [1,2,5,6,4,7,3] => 17
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [1,2,5,6,7,4,3] => 18
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [1,2,5,7,6,4,3] => 28
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [1,2,6,5,4,3,7] => 24
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [1,2,6,5,4,7,3] => 25
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [1,2,6,5,7,4,3] => 26
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [1,2,6,7,5,4,3] => 27
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [1,2,7,6,5,4,3] => 36
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,2,4,5,7,6] => 16
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,2,4,6,5,7] => 14
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,2,4,6,7,5] => 15
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,2,4,7,6,5] => 26
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,4,6,7] => 12
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,7,6] => 24
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,2,5,6,4,7] => 13
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,2,5,6,7,4] => 14
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,2,5,7,6,4] => 25
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,6,5,4,7] => 22
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,5,7,4] => 23
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,2,6,7,5,4] => 24
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,7,6,5,4] => 34
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [1,3,4,2,5,6,7] => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5,7,6] => 17
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [1,3,4,2,6,5,7] => 15
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [1,3,4,2,6,7,5] => 16
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [1,3,4,2,7,6,5] => 27
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [1,3,4,5,2,6,7] => 6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [1,3,4,5,2,7,6] => 18
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [1,3,4,5,6,2,7] => 7
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,7,2] => 8
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [1,3,4,5,7,6,2] => 19
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [1,3,4,6,5,2,7] => 16
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [1,3,4,6,5,7,2] => 17
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [1,3,4,6,7,5,2] => 18
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [1,3,4,7,6,5,2] => 28
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [1,3,5,4,2,6,7] => 13
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [1,3,5,4,2,7,6] => 25
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [1,3,5,4,6,2,7] => 14
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [1,3,5,4,6,7,2] => 15
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [1,3,5,4,7,6,2] => 26
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [1,3,5,6,4,2,7] => 15
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [1,3,5,6,4,7,2] => 16
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [1,3,5,6,7,4,2] => 17
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [1,3,5,7,6,4,2] => 27
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [1,3,6,5,4,2,7] => 23
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [1,3,6,5,4,7,2] => 24
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [1,3,6,5,7,4,2] => 25
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [1,3,6,7,5,4,2] => 26
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 35
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [1,4,3,2,5,6,7] => 10
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [1,4,3,2,5,7,6] => 22
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [1,4,3,2,6,5,7] => 20
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [1,4,3,2,6,7,5] => 21
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [1,4,3,2,7,6,5] => 32
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,3,5,2,6,7] => 11
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,3,5,2,7,6] => 23
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,3,5,6,2,7] => 12
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [1,4,3,5,6,7,2] => 13
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [1,4,3,5,7,6,2] => 24
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,3,6,5,2,7] => 21
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [1,4,3,6,5,7,2] => 22
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [1,4,3,6,7,5,2] => 23
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [1,4,3,7,6,5,2] => 33
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [1,4,5,3,2,6,7] => 12
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [1,4,5,3,2,7,6] => 24
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [1,4,5,3,6,2,7] => 13
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [1,4,5,3,6,7,2] => 14
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [1,4,5,3,7,6,2] => 25
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [1,4,5,6,3,2,7] => 14
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [1,4,5,6,3,7,2] => 15
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [1,4,5,6,7,3,2] => 16
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [1,4,5,7,6,3,2] => 26
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [1,4,6,5,3,2,7] => 22
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [1,4,6,5,3,7,2] => 23
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,4,6,7,5,3,2] => 25
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,4,7,6,5,3,2] => 34
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,4,7,6,3,2] => 32
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,5,6,4,7,3,2] => 23
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,5,6,7,4,3,2] => 24
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,5,7,6,4,3,2] => 33
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 29
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6,5,4,7,3,2] => 30
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,5,7,4,3,2] => 31
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6,7,5,4,3,2] => 32
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 40
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7] => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [2,1,7,6,5,4,3] => 38
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [2,3,1,4,5,6,7] => 3
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,1,5,6,7] => 4
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [2,3,4,1,5,7,6] => 16
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,1,6,7] => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,1,7,6] => 17
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,1,7] => 6
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,1] => 7
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [2,6,5,4,3,1,7] => 27
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7] => 6
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,1] => 10
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,4,2,5,6,7,1] => 11
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,4,5,2,6,7,1] => 12
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,4,5,6,2,7,1] => 13
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,4,2,1,7] => 19
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,5,4,2,1,7] => 26
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 12
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 15
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,3,5,2,6,7,1] => 16
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,3,6,5,2,1,7] => 24
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,3,6,2,1,7] => 17
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,3,2,1,7] => 18
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,5,3,2,1,7] => 25
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 20
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 32
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 21
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,4,3,6,2,1,7] => 22
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,4,6,3,2,1,7] => 23
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,4,3,2,1,7] => 24
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 30
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 42
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,8,7] => 14
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,5,7,6,8] => 12
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [1,2,3,5,4,6,7,8] => 8
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6,8] => 20
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,4] => 11
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,5,7,8] => 16
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,6,7,8,5,4,3] => 30
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7,8] => 4
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [1,3,2,4,5,7,6,8] => 16
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [1,3,2,5,4,6,7,8] => 12
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,7,6,8] => 24
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [1,3,4,2,6,7,5,8] => 16
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,5,7,8,6,4,2] => 30
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,4,3,2,7,6,5,8] => 32
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 36
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 47
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,5,8,7,6,4,3,2] => 47
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 43
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,6,7,8,5,4,3,2] => 36
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,6,8,7,5,4,3,2] => 46
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7,6,5,8,4,3,2] => 43
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,6,8,5,4,3,2] => 44
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,7,8,6,5,4,3,2] => 45
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 54
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8] => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [2,1,3,4,5,6,8,7] => 16
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7] => 32
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,8,7,5] => 33
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,6,8,5] => 31
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,7,6,5] => 44
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [2,1,4,6,5,3,8,7] => 33
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [2,1,5,4,6,3,8,7] => 31
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 30
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [2,1,6,5,4,3,8,7] => 40
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,5,7,4,8,3] => 29
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 52
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 16
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] => [2,3,4,1,6,7,8,5] => 16
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [2,3,4,5,1,6,7,8] => 5
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,1,7,8] => 6
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [2,3,4,5,6,1,8,7] => 20
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,1,8] => 7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,1] => 8
[1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0] => [2,3,5,6,8,7,4,1] => 30
[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0] => [2,4,3,1,6,5,8,7] => 33
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => 34
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 32
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,6,8,7,5,4,3,1] => 45
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8] => 6
[1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0] => [3,2,1,4,5,8,7,6] => 32
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 39
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 50
[1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0] => [3,2,4,1,6,5,8,7] => 31
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 32
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 30
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => 11
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 41
[1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0] => [3,2,5,4,6,1,8,7] => 30
[1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,7,6,1,8] => 28
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 29
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 40
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,2,6,5,7,4,8,1] => 28
[1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0] => [3,2,7,6,5,4,1,8] => 37
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,2,1,7,8,6,5] => 32
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,4,2,5,6,7,8,1] => 12
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,4,5,2,6,7,8,1] => 13
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [3,5,8,7,6,4,2,1] => 45
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 12
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7] => 36
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 48
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 16
[1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0] => [4,3,5,2,6,1,8,7] => 29
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,3,5,2,7,6,8,1] => 28
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,3,6,5,7,2,8,1] => 27
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,3,6,5,8,7,2,1] => 40
[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0] => [4,7,6,5,3,2,1,8] => 37
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 20
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 46
[1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0] => [5,4,3,2,7,6,1,8] => 33
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,4,6,3,7,2,8,1] => 26
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,4,3,2,1,8] => 28
[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0] => [5,7,6,4,3,2,1,8] => 36
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 30
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 44
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,5,4,3,7,2,8,1] => 33
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,5,4,7,3,2,1,8] => 33
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,5,7,4,3,2,1,8] => 34
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,5,7,4,3,2,8,1] => 35
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [6,5,7,4,8,3,2,1] => 37
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,5,8,7,4,3,2,1] => 48
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,5,4,3,2,1,8] => 35
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 42
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 43
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [7,6,5,4,8,3,2,1] => 45
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [7,6,8,5,4,3,2,1] => 47
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 56
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0] => [8,7,6,5,4,3,2,1,9] => 56
[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [1,9,8,7,6,5,4,3,2] => 70
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0] => [9,8,7,6,5,4,3,2,1,10] => 72
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0] => [7,8,6,5,4,3,2,1,9] => 48
[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [1,8,9,7,6,5,4,3,2] => 60
[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [1,10,9,8,7,6,5,4,3,2] => 88
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0] => [10,9,8,7,6,5,4,3,2,1,11] => 90
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0] => [8,9,7,6,5,4,3,2,1,10] => 63
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0] => [7,6,8,5,4,3,2,1,9] => 47
[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0] => [6,8,7,5,4,3,2,1,9] => 49
[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [1,8,7,9,6,5,4,3,2] => 59
[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0] => [1,7,9,8,6,5,4,3,2] => 61
[1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0] => [1,9,10,8,7,6,5,4,3,2] => 77
[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [1,11,10,9,8,7,6,5,4,3,2] => 108
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0] => [7,6,5,4,3,2,1,8,9] => 42
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0] => [8,7,6,5,4,3,2,1,10,9] => 74
[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [2,1,10,9,8,7,6,5,4,3] => 86
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0] => [8,7,6,5,4,3,2,1,9,10] => 56
[] => [] => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,1] => 9
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,1] => 12
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,4,2,5,6,7,8,9,1] => 13
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => [9,8,7,6,5,4,3,2,1] => 72
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,9,8] => 16
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8,9,10] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,8,10,9] => 18
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,1] => 10
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,6,7,8,9,11,10] => 20
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,9,10,1] => 13
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [2,3,4,5,6,7,8,9,10,11,1] => 11
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9] => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9] => 6
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9] => 12
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9] => 20
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0] => [6,5,4,3,2,1,7,8,9] => 30
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10] => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9] => 50
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3,10,9,8,7] => 74
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [2,1,8,7,6,5,4,3,10,9] => 70
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [3,2,1,4,5,6,7,8,9,10] => 6
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8,9,10] => 12
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [4,3,2,1,6,5,8,7,10,9] => 54
[1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,6,5,10,9,8,7] => 70
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,8,7,6,5,10,9] => 66
[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [4,3,2,1,10,9,8,7,6,5] => 82
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8,9,10] => 20
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0] => [6,5,4,3,2,1,7,8,9,10] => 30
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0] => [6,5,4,3,2,1,10,9,8,7] => 78
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0] => [7,6,5,4,3,2,1,8,9,10] => 42
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0] => [10,9,8,7,6,5,4,3,2,1] => 90
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [2,3,4,5,6,7,1,8,9] => 7
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,1,9] => 8
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [2,3,4,5,6,7,8,9,1,10] => 9
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [2,1,3,4,5,6,7,8,9,10,11] => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5,8,7,10,9,12,11] => 72
[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0] => [10,9,8,7,6,5,4,3,2,1,12,11] => 112
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The sum of the major and the inverse major index of a permutation.
This statistic is the sum of St000004The major index of a permutation. and St000305The inverse major index of a permutation..
Map
to 312-avoiding permutation
Description
Sends a Dyck path to the 312-avoiding permutation according to Bandlow-Killpatrick.
This map is defined in [1] and sends the area (St000012The area of a Dyck path.) to the inversion number (St000018The number of inversions of a permutation.).