Identifier
Values
[1,0] => [1] => 1
[1,0,1,0] => [1,2] => 1
[1,1,0,0] => [2,1] => 2
[1,0,1,0,1,0] => [1,2,3] => 1
[1,0,1,1,0,0] => [1,3,2] => 2
[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] => 1
[1,0,1,0,1,1,0,0] => [1,2,4,3] => 2
[1,0,1,1,0,0,1,0] => [1,3,2,4] => 2
[1,0,1,1,0,1,0,0] => [1,3,4,2] => 3
[1,0,1,1,1,0,0,0] => [1,4,3,2] => 6
[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] => 4
[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] => 8
[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] => 8
[1,1,1,0,1,0,0,0] => [3,4,2,1] => 12
[1,1,1,1,0,0,0,0] => [4,3,2,1] => 24
[1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5] => 1
[1,0,1,0,1,0,1,1,0,0] => [1,2,3,5,4] => 2
[1,0,1,0,1,1,0,0,1,0] => [1,2,4,3,5] => 2
[1,0,1,0,1,1,0,1,0,0] => [1,2,4,5,3] => 3
[1,0,1,0,1,1,1,0,0,0] => [1,2,5,4,3] => 6
[1,0,1,1,0,0,1,0,1,0] => [1,3,2,4,5] => 2
[1,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4] => 4
[1,0,1,1,0,1,0,0,1,0] => [1,3,4,2,5] => 3
[1,0,1,1,0,1,0,1,0,0] => [1,3,4,5,2] => 4
[1,0,1,1,0,1,1,0,0,0] => [1,3,5,4,2] => 8
[1,0,1,1,1,0,0,0,1,0] => [1,4,3,2,5] => 6
[1,0,1,1,1,0,0,1,0,0] => [1,4,3,5,2] => 8
[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] => 24
[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] => 4
[1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,5] => 4
[1,1,0,0,1,1,0,1,0,0] => [2,1,4,5,3] => 6
[1,1,0,0,1,1,1,0,0,0] => [2,1,5,4,3] => 12
[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] => 6
[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] => 10
[1,1,0,1,1,0,0,0,1,0] => [2,4,3,1,5] => 8
[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] => 15
[1,1,0,1,1,1,0,0,0,0] => [2,5,4,3,1] => 30
[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] => 12
[1,1,1,0,0,1,0,0,1,0] => [3,2,4,1,5] => 8
[1,1,1,0,0,1,0,1,0,0] => [3,2,4,5,1] => 10
[1,1,1,0,0,1,1,0,0,0] => [3,2,5,4,1] => 20
[1,1,1,0,1,0,0,0,1,0] => [3,4,2,1,5] => 12
[1,1,1,0,1,0,0,1,0,0] => [3,4,2,5,1] => 15
[1,1,1,0,1,0,1,0,0,0] => [3,4,5,2,1] => 20
[1,1,1,0,1,1,0,0,0,0] => [3,5,4,2,1] => 40
[1,1,1,1,0,0,0,0,1,0] => [4,3,2,1,5] => 24
[1,1,1,1,0,0,0,1,0,0] => [4,3,2,5,1] => 30
[1,1,1,1,0,0,1,0,0,0] => [4,3,5,2,1] => 40
[1,1,1,1,0,1,0,0,0,0] => [4,5,3,2,1] => 60
[1,1,1,1,1,0,0,0,0,0] => [5,4,3,2,1] => 120
[1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6] => 1
[1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,6,5] => 2
[1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,5,4,6] => 2
[1,0,1,0,1,0,1,1,0,1,0,0] => [1,2,3,5,6,4] => 3
[1,0,1,0,1,0,1,1,1,0,0,0] => [1,2,3,6,5,4] => 6
[1,0,1,0,1,1,0,0,1,0,1,0] => [1,2,4,3,5,6] => 2
[1,0,1,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5] => 4
[1,0,1,0,1,1,0,1,0,0,1,0] => [1,2,4,5,3,6] => 3
[1,0,1,0,1,1,0,1,0,1,0,0] => [1,2,4,5,6,3] => 4
[1,0,1,0,1,1,0,1,1,0,0,0] => [1,2,4,6,5,3] => 8
[1,0,1,0,1,1,1,0,0,0,1,0] => [1,2,5,4,3,6] => 6
[1,0,1,0,1,1,1,0,0,1,0,0] => [1,2,5,4,6,3] => 8
[1,0,1,0,1,1,1,0,1,0,0,0] => [1,2,5,6,4,3] => 12
[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] => 2
[1,0,1,1,0,0,1,0,1,1,0,0] => [1,3,2,4,6,5] => 4
[1,0,1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4,6] => 4
[1,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,6,4] => 6
[1,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,6,5,4] => 12
[1,0,1,1,0,1,0,0,1,0,1,0] => [1,3,4,2,5,6] => 3
[1,0,1,1,0,1,0,0,1,1,0,0] => [1,3,4,2,6,5] => 6
[1,0,1,1,0,1,0,1,0,0,1,0] => [1,3,4,5,2,6] => 4
[1,0,1,1,0,1,0,1,0,1,0,0] => [1,3,4,5,6,2] => 5
[1,0,1,1,0,1,0,1,1,0,0,0] => [1,3,4,6,5,2] => 10
[1,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,4,2,6] => 8
[1,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,4,6,2] => 10
[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] => 30
[1,0,1,1,1,0,0,0,1,0,1,0] => [1,4,3,2,5,6] => 6
[1,0,1,1,1,0,0,0,1,1,0,0] => [1,4,3,2,6,5] => 12
[1,0,1,1,1,0,0,1,0,0,1,0] => [1,4,3,5,2,6] => 8
[1,0,1,1,1,0,0,1,0,1,0,0] => [1,4,3,5,6,2] => 10
[1,0,1,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,2] => 20
[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] => 15
[1,0,1,1,1,0,1,0,1,0,0,0] => [1,4,5,6,3,2] => 20
[1,0,1,1,1,0,1,1,0,0,0,0] => [1,4,6,5,3,2] => 40
>>> Load all 314 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => [1,5,4,3,2,6] => 24
[1,0,1,1,1,1,0,0,0,1,0,0] => [1,5,4,3,6,2] => 30
[1,0,1,1,1,1,0,0,1,0,0,0] => [1,5,4,6,3,2] => 40
[1,0,1,1,1,1,0,1,0,0,0,0] => [1,5,6,4,3,2] => 60
[1,0,1,1,1,1,1,0,0,0,0,0] => [1,6,5,4,3,2] => 120
[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] => 4
[1,1,0,0,1,0,1,1,0,0,1,0] => [2,1,3,5,4,6] => 4
[1,1,0,0,1,0,1,1,0,1,0,0] => [2,1,3,5,6,4] => 6
[1,1,0,0,1,0,1,1,1,0,0,0] => [2,1,3,6,5,4] => 12
[1,1,0,0,1,1,0,0,1,0,1,0] => [2,1,4,3,5,6] => 4
[1,1,0,0,1,1,0,0,1,1,0,0] => [2,1,4,3,6,5] => 8
[1,1,0,0,1,1,0,1,0,0,1,0] => [2,1,4,5,3,6] => 6
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,1,4,5,6,3] => 8
[1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,6,5,3] => 16
[1,1,0,0,1,1,1,0,0,0,1,0] => [2,1,5,4,3,6] => 12
[1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,5,4,6,3] => 16
[1,1,0,0,1,1,1,0,1,0,0,0] => [2,1,5,6,4,3] => 24
[1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,6,5,4,3] => 48
[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] => 6
[1,1,0,1,0,0,1,1,0,0,1,0] => [2,3,1,5,4,6] => 6
[1,1,0,1,0,0,1,1,0,1,0,0] => [2,3,1,5,6,4] => 9
[1,1,0,1,0,0,1,1,1,0,0,0] => [2,3,1,6,5,4] => 18
[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] => 8
[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] => 12
[1,1,0,1,0,1,1,0,0,0,1,0] => [2,3,5,4,1,6] => 10
[1,1,0,1,0,1,1,0,0,1,0,0] => [2,3,5,4,6,1] => 12
[1,1,0,1,0,1,1,0,1,0,0,0] => [2,3,5,6,4,1] => 18
[1,1,0,1,0,1,1,1,0,0,0,0] => [2,3,6,5,4,1] => 36
[1,1,0,1,1,0,0,0,1,0,1,0] => [2,4,3,1,5,6] => 8
[1,1,0,1,1,0,0,0,1,1,0,0] => [2,4,3,1,6,5] => 16
[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] => 12
[1,1,0,1,1,0,0,1,1,0,0,0] => [2,4,3,6,5,1] => 24
[1,1,0,1,1,0,1,0,0,0,1,0] => [2,4,5,3,1,6] => 15
[1,1,0,1,1,0,1,0,0,1,0,0] => [2,4,5,3,6,1] => 18
[1,1,0,1,1,0,1,0,1,0,0,0] => [2,4,5,6,3,1] => 24
[1,1,0,1,1,0,1,1,0,0,0,0] => [2,4,6,5,3,1] => 48
[1,1,0,1,1,1,0,0,0,0,1,0] => [2,5,4,3,1,6] => 30
[1,1,0,1,1,1,0,0,0,1,0,0] => [2,5,4,3,6,1] => 36
[1,1,0,1,1,1,0,0,1,0,0,0] => [2,5,4,6,3,1] => 48
[1,1,0,1,1,1,0,1,0,0,0,0] => [2,5,6,4,3,1] => 72
[1,1,0,1,1,1,1,0,0,0,0,0] => [2,6,5,4,3,1] => 144
[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] => 12
[1,1,1,0,0,0,1,1,0,0,1,0] => [3,2,1,5,4,6] => 12
[1,1,1,0,0,0,1,1,0,1,0,0] => [3,2,1,5,6,4] => 18
[1,1,1,0,0,0,1,1,1,0,0,0] => [3,2,1,6,5,4] => 36
[1,1,1,0,0,1,0,0,1,0,1,0] => [3,2,4,1,5,6] => 8
[1,1,1,0,0,1,0,0,1,1,0,0] => [3,2,4,1,6,5] => 16
[1,1,1,0,0,1,0,1,0,0,1,0] => [3,2,4,5,1,6] => 10
[1,1,1,0,0,1,0,1,0,1,0,0] => [3,2,4,5,6,1] => 12
[1,1,1,0,0,1,0,1,1,0,0,0] => [3,2,4,6,5,1] => 24
[1,1,1,0,0,1,1,0,0,0,1,0] => [3,2,5,4,1,6] => 20
[1,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,6,1] => 24
[1,1,1,0,0,1,1,0,1,0,0,0] => [3,2,5,6,4,1] => 36
[1,1,1,0,0,1,1,1,0,0,0,0] => [3,2,6,5,4,1] => 72
[1,1,1,0,1,0,0,0,1,0,1,0] => [3,4,2,1,5,6] => 12
[1,1,1,0,1,0,0,0,1,1,0,0] => [3,4,2,1,6,5] => 24
[1,1,1,0,1,0,0,1,0,0,1,0] => [3,4,2,5,1,6] => 15
[1,1,1,0,1,0,0,1,0,1,0,0] => [3,4,2,5,6,1] => 18
[1,1,1,0,1,0,0,1,1,0,0,0] => [3,4,2,6,5,1] => 36
[1,1,1,0,1,0,1,0,0,0,1,0] => [3,4,5,2,1,6] => 20
[1,1,1,0,1,0,1,0,0,1,0,0] => [3,4,5,2,6,1] => 24
[1,1,1,0,1,0,1,0,1,0,0,0] => [3,4,5,6,2,1] => 30
[1,1,1,0,1,0,1,1,0,0,0,0] => [3,4,6,5,2,1] => 60
[1,1,1,0,1,1,0,0,0,0,1,0] => [3,5,4,2,1,6] => 40
[1,1,1,0,1,1,0,0,0,1,0,0] => [3,5,4,2,6,1] => 48
[1,1,1,0,1,1,0,0,1,0,0,0] => [3,5,4,6,2,1] => 60
[1,1,1,0,1,1,0,1,0,0,0,0] => [3,5,6,4,2,1] => 90
[1,1,1,0,1,1,1,0,0,0,0,0] => [3,6,5,4,2,1] => 180
[1,1,1,1,0,0,0,0,1,0,1,0] => [4,3,2,1,5,6] => 24
[1,1,1,1,0,0,0,0,1,1,0,0] => [4,3,2,1,6,5] => 48
[1,1,1,1,0,0,0,1,0,0,1,0] => [4,3,2,5,1,6] => 30
[1,1,1,1,0,0,0,1,0,1,0,0] => [4,3,2,5,6,1] => 36
[1,1,1,1,0,0,0,1,1,0,0,0] => [4,3,2,6,5,1] => 72
[1,1,1,1,0,0,1,0,0,0,1,0] => [4,3,5,2,1,6] => 40
[1,1,1,1,0,0,1,0,0,1,0,0] => [4,3,5,2,6,1] => 48
[1,1,1,1,0,0,1,0,1,0,0,0] => [4,3,5,6,2,1] => 60
[1,1,1,1,0,0,1,1,0,0,0,0] => [4,3,6,5,2,1] => 120
[1,1,1,1,0,1,0,0,0,0,1,0] => [4,5,3,2,1,6] => 60
[1,1,1,1,0,1,0,0,0,1,0,0] => [4,5,3,2,6,1] => 72
[1,1,1,1,0,1,0,0,1,0,0,0] => [4,5,3,6,2,1] => 90
[1,1,1,1,0,1,0,1,0,0,0,0] => [4,5,6,3,2,1] => 120
[1,1,1,1,0,1,1,0,0,0,0,0] => [4,6,5,3,2,1] => 240
[1,1,1,1,1,0,0,0,0,0,1,0] => [5,4,3,2,1,6] => 120
[1,1,1,1,1,0,0,0,0,1,0,0] => [5,4,3,2,6,1] => 144
[1,1,1,1,1,0,0,0,1,0,0,0] => [5,4,3,6,2,1] => 180
[1,1,1,1,1,0,0,1,0,0,0,0] => [5,4,6,3,2,1] => 240
[1,1,1,1,1,0,1,0,0,0,0,0] => [5,6,4,3,2,1] => 360
[1,1,1,1,1,1,0,0,0,0,0,0] => [6,5,4,3,2,1] => 720
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7] => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [1,2,3,4,5,7,6] => 2
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [1,2,3,4,6,5,7] => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,2,4,5,6,7] => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [1,3,7,6,5,4,2] => 144
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [1,4,6,7,5,3,2] => 90
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [1,4,7,6,5,3,2] => 180
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [1,5,4,7,6,3,2] => 120
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [1,5,6,4,7,3,2] => 90
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,5,6,7,4,3,2] => 120
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [1,5,7,6,4,3,2] => 240
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [1,6,5,4,3,7,2] => 144
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [1,6,5,4,7,3,2] => 180
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [1,6,5,7,4,3,2] => 240
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [1,6,7,5,4,3,2] => 360
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [1,7,6,5,4,3,2] => 720
[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] => 240
[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] => 8
[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] => 10
[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] => 144
[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] => 14
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [3,4,2,5,6,7,1] => 21
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [3,4,5,2,6,7,1] => 28
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [3,4,5,6,2,7,1] => 35
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [3,5,6,4,2,1,7] => 90
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [3,6,5,4,2,1,7] => 180
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7] => 24
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,1] => 42
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [4,3,5,2,6,7,1] => 56
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [4,3,6,5,2,1,7] => 120
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [4,5,3,6,2,1,7] => 90
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [4,5,6,3,2,1,7] => 120
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [4,6,5,3,2,1,7] => 240
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [5,4,3,2,1,6,7] => 120
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [5,4,3,2,1,7,6] => 240
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [5,4,3,2,6,1,7] => 144
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [5,4,3,6,2,1,7] => 180
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [5,4,6,3,2,1,7] => 240
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [5,6,4,3,2,1,7] => 360
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [6,5,4,3,2,1,7] => 720
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [7,6,5,4,3,2,1] => 5040
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [1,2,3,4,5,6,7,8] => 1
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [1,2,3,5,6,7,8,4] => 5
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [1,2,6,7,8,5,4,3] => 120
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [1,3,5,7,8,6,4,2] => 105
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [1,4,3,6,5,8,7,2] => 56
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [1,4,3,8,7,6,5,2] => 336
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [1,5,8,7,6,4,3,2] => 1260
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [1,6,5,4,3,8,7,2] => 336
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [1,6,7,8,5,4,3,2] => 840
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [1,6,8,7,5,4,3,2] => 1680
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [1,7,6,5,8,4,3,2] => 1260
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [1,7,6,8,5,4,3,2] => 1680
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [1,7,8,6,5,4,3,2] => 2520
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [1,8,7,6,5,4,3,2] => 5040
[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
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [2,1,4,3,6,8,7,5] => 32
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [2,1,4,3,7,6,8,5] => 32
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [2,1,4,3,8,7,6,5] => 96
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [2,1,5,4,7,6,8,3] => 48
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [2,1,6,5,7,4,8,3] => 96
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [2,1,8,7,6,5,4,3] => 1440
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [2,3,1,4,5,7,8,6] => 9
[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
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] => [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] => 80
[1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0] => [2,4,3,1,6,8,7,5] => 64
[1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0] => [2,4,3,1,7,6,8,5] => 64
[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0] => [2,6,8,7,5,4,3,1] => 1920
[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] => 36
[1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0] => [3,2,1,6,5,8,7,4] => 120
[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0] => [3,2,1,8,7,6,5,4] => 720
[1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0] => [3,2,4,1,6,8,7,5] => 64
[1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0] => [3,2,4,1,7,6,8,5] => 64
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] => [3,2,4,5,6,7,8,1] => 16
[1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0] => [3,2,5,4,1,8,7,6] => 120
[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0] => [3,2,5,4,7,6,8,1] => 64
[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0] => [3,2,6,5,4,8,7,1] => 192
[1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0] => [3,2,6,5,7,4,8,1] => 128
[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0] => [3,4,2,1,7,8,6,5] => 144
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [3,4,2,5,6,7,8,1] => 24
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] => [3,4,5,2,6,7,8,1] => 32
[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0] => [3,5,8,7,6,4,2,1] => 1680
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] => [4,3,2,1,5,6,7,8] => 24
[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0] => [4,3,2,1,8,7,6,5] => 576
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [4,3,2,5,6,7,8,1] => 48
[1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0] => [4,3,5,2,7,6,8,1] => 128
[1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0] => [4,3,6,5,7,2,8,1] => 192
[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0] => [4,3,6,5,8,7,2,1] => 448
[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0] => [5,4,3,2,1,6,7,8] => 120
[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0] => [5,4,3,2,1,8,7,6] => 720
[1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0] => [5,4,6,3,7,2,8,1] => 384
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [5,6,7,4,3,2,1,8] => 840
[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0] => [6,5,4,3,2,1,7,8] => 720
[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0] => [6,5,4,3,2,1,8,7] => 1440
[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0] => [6,5,4,3,7,2,8,1] => 1152
[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0] => [6,5,4,7,3,2,1,8] => 1260
[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0] => [6,5,7,4,3,2,1,8] => 1680
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [6,5,7,4,3,2,8,1] => 1920
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [6,5,7,4,8,3,2,1] => 2688
[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0] => [6,5,8,7,4,3,2,1] => 6720
[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0] => [6,7,5,4,3,2,1,8] => 2520
[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0] => [7,6,5,4,3,2,1,8] => 5040
[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0] => [7,6,5,4,3,2,8,1] => 5760
[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0] => [7,6,5,4,8,3,2,1] => 8064
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0] => [7,6,8,5,4,3,2,1] => 13440
[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0] => [8,7,6,5,4,3,2,1] => 40320
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 number of permutations less than or equal to a permutation in left weak order.
This is the same as the number of permutations less than or equal to the given permutation in right weak order.
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.).