edit this statistic or download as text // json
Identifier
Values
[1,2] => 1
[2,1] => 1
[1,2,3] => 1
[1,3,2] => 3
[2,1,3] => 3
[2,3,1] => 2
[3,1,2] => 2
[3,2,1] => 3
[1,2,3,4] => 1
[1,2,4,3] => 6
[1,3,2,4] => 6
[1,3,4,2] => 8
[1,4,2,3] => 8
[1,4,3,2] => 6
[2,1,3,4] => 6
[2,1,4,3] => 3
[2,3,1,4] => 8
[2,3,4,1] => 6
[2,4,1,3] => 6
[2,4,3,1] => 8
[3,1,2,4] => 8
[3,1,4,2] => 6
[3,2,1,4] => 6
[3,2,4,1] => 8
[3,4,1,2] => 3
[3,4,2,1] => 6
[4,1,2,3] => 6
[4,1,3,2] => 8
[4,2,1,3] => 8
[4,2,3,1] => 6
[4,3,1,2] => 6
[4,3,2,1] => 3
[1,2,3,4,5] => 1
[1,2,3,5,4] => 10
[1,2,4,3,5] => 10
[1,2,4,5,3] => 20
[1,2,5,3,4] => 20
[1,2,5,4,3] => 10
[1,3,2,4,5] => 10
[1,3,2,5,4] => 15
[1,3,4,2,5] => 20
[1,3,4,5,2] => 30
[1,3,5,2,4] => 30
[1,3,5,4,2] => 20
[1,4,2,3,5] => 20
[1,4,2,5,3] => 30
[1,4,3,2,5] => 10
[1,4,3,5,2] => 20
[1,4,5,2,3] => 15
[1,4,5,3,2] => 30
[1,5,2,3,4] => 30
[1,5,2,4,3] => 20
[1,5,3,2,4] => 20
[1,5,3,4,2] => 10
[1,5,4,2,3] => 30
[1,5,4,3,2] => 15
[2,1,3,4,5] => 10
[2,1,3,5,4] => 15
[2,1,4,3,5] => 15
[2,1,4,5,3] => 20
[2,1,5,3,4] => 20
[2,1,5,4,3] => 15
[2,3,1,4,5] => 20
[2,3,1,5,4] => 20
[2,3,4,1,5] => 30
[2,3,4,5,1] => 24
[2,3,5,1,4] => 24
[2,3,5,4,1] => 30
[2,4,1,3,5] => 30
[2,4,1,5,3] => 24
[2,4,3,1,5] => 20
[2,4,3,5,1] => 30
[2,4,5,1,3] => 20
[2,4,5,3,1] => 24
[2,5,1,3,4] => 24
[2,5,1,4,3] => 30
[2,5,3,1,4] => 30
[2,5,3,4,1] => 20
[2,5,4,1,3] => 24
[2,5,4,3,1] => 20
[3,1,2,4,5] => 20
[3,1,2,5,4] => 20
[3,1,4,2,5] => 30
[3,1,4,5,2] => 24
[3,1,5,2,4] => 24
[3,1,5,4,2] => 30
[3,2,1,4,5] => 10
[3,2,1,5,4] => 15
[3,2,4,1,5] => 20
[3,2,4,5,1] => 30
[3,2,5,1,4] => 30
[3,2,5,4,1] => 20
[3,4,1,2,5] => 15
[3,4,1,5,2] => 20
[3,4,2,1,5] => 30
[3,4,2,5,1] => 24
[3,4,5,1,2] => 24
[3,4,5,2,1] => 20
[3,5,1,2,4] => 20
[3,5,1,4,2] => 15
[3,5,2,1,4] => 24
>>> Load all 1200 entries. <<<
[3,5,2,4,1] => 30
[3,5,4,1,2] => 20
[3,5,4,2,1] => 24
[4,1,2,3,5] => 30
[4,1,2,5,3] => 24
[4,1,3,2,5] => 20
[4,1,3,5,2] => 30
[4,1,5,2,3] => 20
[4,1,5,3,2] => 24
[4,2,1,3,5] => 20
[4,2,1,5,3] => 30
[4,2,3,1,5] => 10
[4,2,3,5,1] => 20
[4,2,5,1,3] => 15
[4,2,5,3,1] => 30
[4,3,1,2,5] => 30
[4,3,1,5,2] => 24
[4,3,2,1,5] => 15
[4,3,2,5,1] => 20
[4,3,5,1,2] => 20
[4,3,5,2,1] => 24
[4,5,1,2,3] => 24
[4,5,1,3,2] => 20
[4,5,2,1,3] => 20
[4,5,2,3,1] => 24
[4,5,3,1,2] => 15
[4,5,3,2,1] => 30
[5,1,2,3,4] => 24
[5,1,2,4,3] => 30
[5,1,3,2,4] => 30
[5,1,3,4,2] => 20
[5,1,4,2,3] => 24
[5,1,4,3,2] => 20
[5,2,1,3,4] => 30
[5,2,1,4,3] => 20
[5,2,3,1,4] => 20
[5,2,3,4,1] => 10
[5,2,4,1,3] => 30
[5,2,4,3,1] => 15
[5,3,1,2,4] => 24
[5,3,1,4,2] => 30
[5,3,2,1,4] => 20
[5,3,2,4,1] => 15
[5,3,4,1,2] => 24
[5,3,4,2,1] => 20
[5,4,1,2,3] => 20
[5,4,1,3,2] => 24
[5,4,2,1,3] => 24
[5,4,2,3,1] => 20
[5,4,3,1,2] => 30
[5,4,3,2,1] => 15
[1,2,3,4,5,6] => 1
[1,2,3,4,6,5] => 15
[1,2,3,5,4,6] => 15
[1,2,3,5,6,4] => 40
[1,2,3,6,4,5] => 40
[1,2,3,6,5,4] => 15
[1,2,4,3,5,6] => 15
[1,2,4,3,6,5] => 45
[1,2,4,5,3,6] => 40
[1,2,4,5,6,3] => 90
[1,2,4,6,3,5] => 90
[1,2,4,6,5,3] => 40
[1,2,5,3,4,6] => 40
[1,2,5,3,6,4] => 90
[1,2,5,4,3,6] => 15
[1,2,5,4,6,3] => 40
[1,2,5,6,3,4] => 45
[1,2,5,6,4,3] => 90
[1,2,6,3,4,5] => 90
[1,2,6,3,5,4] => 40
[1,2,6,4,3,5] => 40
[1,2,6,4,5,3] => 15
[1,2,6,5,3,4] => 90
[1,2,6,5,4,3] => 45
[1,3,2,4,5,6] => 15
[1,3,2,4,6,5] => 45
[1,3,2,5,4,6] => 45
[1,3,2,5,6,4] => 120
[1,3,2,6,4,5] => 120
[1,3,2,6,5,4] => 45
[1,3,4,2,5,6] => 40
[1,3,4,2,6,5] => 120
[1,3,4,5,2,6] => 90
[1,3,4,5,6,2] => 144
[1,3,4,6,2,5] => 144
[1,3,4,6,5,2] => 90
[1,3,5,2,4,6] => 90
[1,3,5,2,6,4] => 144
[1,3,5,4,2,6] => 40
[1,3,5,4,6,2] => 90
[1,3,5,6,2,4] => 120
[1,3,5,6,4,2] => 144
[1,3,6,2,4,5] => 144
[1,3,6,2,5,4] => 90
[1,3,6,4,2,5] => 90
[1,3,6,4,5,2] => 40
[1,3,6,5,2,4] => 144
[1,3,6,5,4,2] => 120
[1,4,2,3,5,6] => 40
[1,4,2,3,6,5] => 120
[1,4,2,5,3,6] => 90
[1,4,2,5,6,3] => 144
[1,4,2,6,3,5] => 144
[1,4,2,6,5,3] => 90
[1,4,3,2,5,6] => 15
[1,4,3,2,6,5] => 45
[1,4,3,5,2,6] => 40
[1,4,3,5,6,2] => 90
[1,4,3,6,2,5] => 90
[1,4,3,6,5,2] => 40
[1,4,5,2,3,6] => 45
[1,4,5,2,6,3] => 120
[1,4,5,3,2,6] => 90
[1,4,5,3,6,2] => 144
[1,4,5,6,2,3] => 144
[1,4,5,6,3,2] => 120
[1,4,6,2,3,5] => 120
[1,4,6,2,5,3] => 45
[1,4,6,3,2,5] => 144
[1,4,6,3,5,2] => 90
[1,4,6,5,2,3] => 120
[1,4,6,5,3,2] => 144
[1,5,2,3,4,6] => 90
[1,5,2,3,6,4] => 144
[1,5,2,4,3,6] => 40
[1,5,2,4,6,3] => 90
[1,5,2,6,3,4] => 120
[1,5,2,6,4,3] => 144
[1,5,3,2,4,6] => 40
[1,5,3,2,6,4] => 90
[1,5,3,4,2,6] => 15
[1,5,3,4,6,2] => 40
[1,5,3,6,2,4] => 45
[1,5,3,6,4,2] => 90
[1,5,4,2,3,6] => 90
[1,5,4,2,6,3] => 144
[1,5,4,3,2,6] => 45
[1,5,4,3,6,2] => 120
[1,5,4,6,2,3] => 120
[1,5,4,6,3,2] => 144
[1,5,6,2,3,4] => 144
[1,5,6,2,4,3] => 120
[1,5,6,3,2,4] => 120
[1,5,6,3,4,2] => 144
[1,5,6,4,2,3] => 45
[1,5,6,4,3,2] => 90
[1,6,2,3,4,5] => 144
[1,6,2,3,5,4] => 90
[1,6,2,4,3,5] => 90
[1,6,2,4,5,3] => 40
[1,6,2,5,3,4] => 144
[1,6,2,5,4,3] => 120
[1,6,3,2,4,5] => 90
[1,6,3,2,5,4] => 40
[1,6,3,4,2,5] => 40
[1,6,3,4,5,2] => 15
[1,6,3,5,2,4] => 90
[1,6,3,5,4,2] => 45
[1,6,4,2,3,5] => 144
[1,6,4,2,5,3] => 90
[1,6,4,3,2,5] => 120
[1,6,4,3,5,2] => 45
[1,6,4,5,2,3] => 144
[1,6,4,5,3,2] => 120
[1,6,5,2,3,4] => 120
[1,6,5,2,4,3] => 144
[1,6,5,3,2,4] => 144
[1,6,5,3,4,2] => 120
[1,6,5,4,2,3] => 90
[1,6,5,4,3,2] => 45
[2,1,3,4,5,6] => 15
[2,1,3,4,6,5] => 45
[2,1,3,5,4,6] => 45
[2,1,3,5,6,4] => 120
[2,1,3,6,4,5] => 120
[2,1,3,6,5,4] => 45
[2,1,4,3,5,6] => 45
[2,1,4,3,6,5] => 15
[2,1,4,5,3,6] => 120
[2,1,4,5,6,3] => 90
[2,1,4,6,3,5] => 90
[2,1,4,6,5,3] => 120
[2,1,5,3,4,6] => 120
[2,1,5,3,6,4] => 90
[2,1,5,4,3,6] => 45
[2,1,5,4,6,3] => 120
[2,1,5,6,3,4] => 15
[2,1,5,6,4,3] => 90
[2,1,6,3,4,5] => 90
[2,1,6,3,5,4] => 120
[2,1,6,4,3,5] => 120
[2,1,6,4,5,3] => 45
[2,1,6,5,3,4] => 90
[2,1,6,5,4,3] => 15
[2,3,1,4,5,6] => 40
[2,3,1,4,6,5] => 120
[2,3,1,5,4,6] => 120
[2,3,1,5,6,4] => 40
[2,3,1,6,4,5] => 40
[2,3,1,6,5,4] => 120
[2,3,4,1,5,6] => 90
[2,3,4,1,6,5] => 90
[2,3,4,5,1,6] => 144
[2,3,4,5,6,1] => 120
[2,3,4,6,1,5] => 120
[2,3,4,6,5,1] => 144
[2,3,5,1,4,6] => 144
[2,3,5,1,6,4] => 120
[2,3,5,4,1,6] => 90
[2,3,5,4,6,1] => 144
[2,3,5,6,1,4] => 90
[2,3,5,6,4,1] => 120
[2,3,6,1,4,5] => 120
[2,3,6,1,5,4] => 144
[2,3,6,4,1,5] => 144
[2,3,6,4,5,1] => 90
[2,3,6,5,1,4] => 120
[2,3,6,5,4,1] => 90
[2,4,1,3,5,6] => 90
[2,4,1,3,6,5] => 90
[2,4,1,5,3,6] => 144
[2,4,1,5,6,3] => 120
[2,4,1,6,3,5] => 120
[2,4,1,6,5,3] => 144
[2,4,3,1,5,6] => 40
[2,4,3,1,6,5] => 120
[2,4,3,5,1,6] => 90
[2,4,3,5,6,1] => 144
[2,4,3,6,1,5] => 144
[2,4,3,6,5,1] => 90
[2,4,5,1,3,6] => 120
[2,4,5,1,6,3] => 40
[2,4,5,3,1,6] => 144
[2,4,5,3,6,1] => 120
[2,4,5,6,1,3] => 120
[2,4,5,6,3,1] => 90
[2,4,6,1,3,5] => 40
[2,4,6,1,5,3] => 120
[2,4,6,3,1,5] => 120
[2,4,6,3,5,1] => 144
[2,4,6,5,1,3] => 90
[2,4,6,5,3,1] => 120
[2,5,1,3,4,6] => 144
[2,5,1,3,6,4] => 120
[2,5,1,4,3,6] => 90
[2,5,1,4,6,3] => 144
[2,5,1,6,3,4] => 90
[2,5,1,6,4,3] => 120
[2,5,3,1,4,6] => 90
[2,5,3,1,6,4] => 144
[2,5,3,4,1,6] => 40
[2,5,3,4,6,1] => 90
[2,5,3,6,1,4] => 120
[2,5,3,6,4,1] => 144
[2,5,4,1,3,6] => 144
[2,5,4,1,6,3] => 120
[2,5,4,3,1,6] => 120
[2,5,4,3,6,1] => 90
[2,5,4,6,1,3] => 40
[2,5,4,6,3,1] => 120
[2,5,6,1,3,4] => 120
[2,5,6,1,4,3] => 90
[2,5,6,3,1,4] => 40
[2,5,6,3,4,1] => 120
[2,5,6,4,1,3] => 120
[2,5,6,4,3,1] => 144
[2,6,1,3,4,5] => 120
[2,6,1,3,5,4] => 144
[2,6,1,4,3,5] => 144
[2,6,1,4,5,3] => 90
[2,6,1,5,3,4] => 120
[2,6,1,5,4,3] => 90
[2,6,3,1,4,5] => 144
[2,6,3,1,5,4] => 90
[2,6,3,4,1,5] => 90
[2,6,3,4,5,1] => 40
[2,6,3,5,1,4] => 144
[2,6,3,5,4,1] => 120
[2,6,4,1,3,5] => 120
[2,6,4,1,5,3] => 144
[2,6,4,3,1,5] => 90
[2,6,4,3,5,1] => 120
[2,6,4,5,1,3] => 120
[2,6,4,5,3,1] => 40
[2,6,5,1,3,4] => 90
[2,6,5,1,4,3] => 120
[2,6,5,3,1,4] => 120
[2,6,5,3,4,1] => 40
[2,6,5,4,1,3] => 144
[2,6,5,4,3,1] => 120
[3,1,2,4,5,6] => 40
[3,1,2,4,6,5] => 120
[3,1,2,5,4,6] => 120
[3,1,2,5,6,4] => 40
[3,1,2,6,4,5] => 40
[3,1,2,6,5,4] => 120
[3,1,4,2,5,6] => 90
[3,1,4,2,6,5] => 90
[3,1,4,5,2,6] => 144
[3,1,4,5,6,2] => 120
[3,1,4,6,2,5] => 120
[3,1,4,6,5,2] => 144
[3,1,5,2,4,6] => 144
[3,1,5,2,6,4] => 120
[3,1,5,4,2,6] => 90
[3,1,5,4,6,2] => 144
[3,1,5,6,2,4] => 90
[3,1,5,6,4,2] => 120
[3,1,6,2,4,5] => 120
[3,1,6,2,5,4] => 144
[3,1,6,4,2,5] => 144
[3,1,6,4,5,2] => 90
[3,1,6,5,2,4] => 120
[3,1,6,5,4,2] => 90
[3,2,1,4,5,6] => 15
[3,2,1,4,6,5] => 45
[3,2,1,5,4,6] => 45
[3,2,1,5,6,4] => 120
[3,2,1,6,4,5] => 120
[3,2,1,6,5,4] => 45
[3,2,4,1,5,6] => 40
[3,2,4,1,6,5] => 120
[3,2,4,5,1,6] => 90
[3,2,4,5,6,1] => 144
[3,2,4,6,1,5] => 144
[3,2,4,6,5,1] => 90
[3,2,5,1,4,6] => 90
[3,2,5,1,6,4] => 144
[3,2,5,4,1,6] => 40
[3,2,5,4,6,1] => 90
[3,2,5,6,1,4] => 120
[3,2,5,6,4,1] => 144
[3,2,6,1,4,5] => 144
[3,2,6,1,5,4] => 90
[3,2,6,4,1,5] => 90
[3,2,6,4,5,1] => 40
[3,2,6,5,1,4] => 144
[3,2,6,5,4,1] => 120
[3,4,1,2,5,6] => 45
[3,4,1,2,6,5] => 15
[3,4,1,5,2,6] => 120
[3,4,1,5,6,2] => 90
[3,4,1,6,2,5] => 90
[3,4,1,6,5,2] => 120
[3,4,2,1,5,6] => 90
[3,4,2,1,6,5] => 90
[3,4,2,5,1,6] => 144
[3,4,2,5,6,1] => 120
[3,4,2,6,1,5] => 120
[3,4,2,6,5,1] => 144
[3,4,5,1,2,6] => 144
[3,4,5,1,6,2] => 120
[3,4,5,2,1,6] => 120
[3,4,5,2,6,1] => 90
[3,4,5,6,1,2] => 40
[3,4,5,6,2,1] => 120
[3,4,6,1,2,5] => 120
[3,4,6,1,5,2] => 144
[3,4,6,2,1,5] => 90
[3,4,6,2,5,1] => 120
[3,4,6,5,1,2] => 120
[3,4,6,5,2,1] => 40
[3,5,1,2,4,6] => 120
[3,5,1,2,6,4] => 90
[3,5,1,4,2,6] => 45
[3,5,1,4,6,2] => 120
[3,5,1,6,2,4] => 15
[3,5,1,6,4,2] => 90
[3,5,2,1,4,6] => 144
[3,5,2,1,6,4] => 120
[3,5,2,4,1,6] => 90
[3,5,2,4,6,1] => 144
[3,5,2,6,1,4] => 90
[3,5,2,6,4,1] => 120
[3,5,4,1,2,6] => 120
[3,5,4,1,6,2] => 40
[3,5,4,2,1,6] => 144
[3,5,4,2,6,1] => 120
[3,5,4,6,1,2] => 120
[3,5,4,6,2,1] => 90
[3,5,6,1,2,4] => 90
[3,5,6,1,4,2] => 120
[3,5,6,2,1,4] => 120
[3,5,6,2,4,1] => 40
[3,5,6,4,1,2] => 144
[3,5,6,4,2,1] => 120
[3,6,1,2,4,5] => 90
[3,6,1,2,5,4] => 120
[3,6,1,4,2,5] => 120
[3,6,1,4,5,2] => 45
[3,6,1,5,2,4] => 90
[3,6,1,5,4,2] => 15
[3,6,2,1,4,5] => 120
[3,6,2,1,5,4] => 144
[3,6,2,4,1,5] => 144
[3,6,2,4,5,1] => 90
[3,6,2,5,1,4] => 120
[3,6,2,5,4,1] => 90
[3,6,4,1,2,5] => 40
[3,6,4,1,5,2] => 120
[3,6,4,2,1,5] => 120
[3,6,4,2,5,1] => 144
[3,6,4,5,1,2] => 90
[3,6,4,5,2,1] => 120
[3,6,5,1,2,4] => 120
[3,6,5,1,4,2] => 90
[3,6,5,2,1,4] => 40
[3,6,5,2,4,1] => 120
[3,6,5,4,1,2] => 120
[3,6,5,4,2,1] => 144
[4,1,2,3,5,6] => 90
[4,1,2,3,6,5] => 90
[4,1,2,5,3,6] => 144
[4,1,2,5,6,3] => 120
[4,1,2,6,3,5] => 120
[4,1,2,6,5,3] => 144
[4,1,3,2,5,6] => 40
[4,1,3,2,6,5] => 120
[4,1,3,5,2,6] => 90
[4,1,3,5,6,2] => 144
[4,1,3,6,2,5] => 144
[4,1,3,6,5,2] => 90
[4,1,5,2,3,6] => 120
[4,1,5,2,6,3] => 40
[4,1,5,3,2,6] => 144
[4,1,5,3,6,2] => 120
[4,1,5,6,2,3] => 120
[4,1,5,6,3,2] => 90
[4,1,6,2,3,5] => 40
[4,1,6,2,5,3] => 120
[4,1,6,3,2,5] => 120
[4,1,6,3,5,2] => 144
[4,1,6,5,2,3] => 90
[4,1,6,5,3,2] => 120
[4,2,1,3,5,6] => 40
[4,2,1,3,6,5] => 120
[4,2,1,5,3,6] => 90
[4,2,1,5,6,3] => 144
[4,2,1,6,3,5] => 144
[4,2,1,6,5,3] => 90
[4,2,3,1,5,6] => 15
[4,2,3,1,6,5] => 45
[4,2,3,5,1,6] => 40
[4,2,3,5,6,1] => 90
[4,2,3,6,1,5] => 90
[4,2,3,6,5,1] => 40
[4,2,5,1,3,6] => 45
[4,2,5,1,6,3] => 120
[4,2,5,3,1,6] => 90
[4,2,5,3,6,1] => 144
[4,2,5,6,1,3] => 144
[4,2,5,6,3,1] => 120
[4,2,6,1,3,5] => 120
[4,2,6,1,5,3] => 45
[4,2,6,3,1,5] => 144
[4,2,6,3,5,1] => 90
[4,2,6,5,1,3] => 120
[4,2,6,5,3,1] => 144
[4,3,1,2,5,6] => 90
[4,3,1,2,6,5] => 90
[4,3,1,5,2,6] => 144
[4,3,1,5,6,2] => 120
[4,3,1,6,2,5] => 120
[4,3,1,6,5,2] => 144
[4,3,2,1,5,6] => 45
[4,3,2,1,6,5] => 15
[4,3,2,5,1,6] => 120
[4,3,2,5,6,1] => 90
[4,3,2,6,1,5] => 90
[4,3,2,6,5,1] => 120
[4,3,5,1,2,6] => 120
[4,3,5,1,6,2] => 90
[4,3,5,2,1,6] => 144
[4,3,5,2,6,1] => 120
[4,3,5,6,1,2] => 120
[4,3,5,6,2,1] => 40
[4,3,6,1,2,5] => 90
[4,3,6,1,5,2] => 120
[4,3,6,2,1,5] => 120
[4,3,6,2,5,1] => 144
[4,3,6,5,1,2] => 40
[4,3,6,5,2,1] => 120
[4,5,1,2,3,6] => 144
[4,5,1,2,6,3] => 120
[4,5,1,3,2,6] => 120
[4,5,1,3,6,2] => 40
[4,5,1,6,2,3] => 90
[4,5,1,6,3,2] => 120
[4,5,2,1,3,6] => 120
[4,5,2,1,6,3] => 90
[4,5,2,3,1,6] => 144
[4,5,2,3,6,1] => 120
[4,5,2,6,1,3] => 120
[4,5,2,6,3,1] => 40
[4,5,3,1,2,6] => 45
[4,5,3,1,6,2] => 120
[4,5,3,2,1,6] => 90
[4,5,3,2,6,1] => 144
[4,5,3,6,1,2] => 144
[4,5,3,6,2,1] => 120
[4,5,6,1,2,3] => 15
[4,5,6,1,3,2] => 90
[4,5,6,2,1,3] => 90
[4,5,6,2,3,1] => 120
[4,5,6,3,1,2] => 120
[4,5,6,3,2,1] => 90
[4,6,1,2,3,5] => 120
[4,6,1,2,5,3] => 144
[4,6,1,3,2,5] => 40
[4,6,1,3,5,2] => 120
[4,6,1,5,2,3] => 120
[4,6,1,5,3,2] => 90
[4,6,2,1,3,5] => 90
[4,6,2,1,5,3] => 120
[4,6,2,3,1,5] => 120
[4,6,2,3,5,1] => 144
[4,6,2,5,1,3] => 40
[4,6,2,5,3,1] => 120
[4,6,3,1,2,5] => 120
[4,6,3,1,5,2] => 45
[4,6,3,2,1,5] => 144
[4,6,3,2,5,1] => 90
[4,6,3,5,1,2] => 120
[4,6,3,5,2,1] => 144
[4,6,5,1,2,3] => 90
[4,6,5,1,3,2] => 15
[4,6,5,2,1,3] => 120
[4,6,5,2,3,1] => 90
[4,6,5,3,1,2] => 90
[4,6,5,3,2,1] => 120
[5,1,2,3,4,6] => 144
[5,1,2,3,6,4] => 120
[5,1,2,4,3,6] => 90
[5,1,2,4,6,3] => 144
[5,1,2,6,3,4] => 90
[5,1,2,6,4,3] => 120
[5,1,3,2,4,6] => 90
[5,1,3,2,6,4] => 144
[5,1,3,4,2,6] => 40
[5,1,3,4,6,2] => 90
[5,1,3,6,2,4] => 120
[5,1,3,6,4,2] => 144
[5,1,4,2,3,6] => 144
[5,1,4,2,6,3] => 120
[5,1,4,3,2,6] => 120
[5,1,4,3,6,2] => 90
[5,1,4,6,2,3] => 40
[5,1,4,6,3,2] => 120
[5,1,6,2,3,4] => 120
[5,1,6,2,4,3] => 90
[5,1,6,3,2,4] => 40
[5,1,6,3,4,2] => 120
[5,1,6,4,2,3] => 120
[5,1,6,4,3,2] => 144
[5,2,1,3,4,6] => 90
[5,2,1,3,6,4] => 144
[5,2,1,4,3,6] => 40
[5,2,1,4,6,3] => 90
[5,2,1,6,3,4] => 120
[5,2,1,6,4,3] => 144
[5,2,3,1,4,6] => 40
[5,2,3,1,6,4] => 90
[5,2,3,4,1,6] => 15
[5,2,3,4,6,1] => 40
[5,2,3,6,1,4] => 45
[5,2,3,6,4,1] => 90
[5,2,4,1,3,6] => 90
[5,2,4,1,6,3] => 144
[5,2,4,3,1,6] => 45
[5,2,4,3,6,1] => 120
[5,2,4,6,1,3] => 120
[5,2,4,6,3,1] => 144
[5,2,6,1,3,4] => 144
[5,2,6,1,4,3] => 120
[5,2,6,3,1,4] => 120
[5,2,6,3,4,1] => 144
[5,2,6,4,1,3] => 45
[5,2,6,4,3,1] => 90
[5,3,1,2,4,6] => 144
[5,3,1,2,6,4] => 120
[5,3,1,4,2,6] => 90
[5,3,1,4,6,2] => 144
[5,3,1,6,2,4] => 90
[5,3,1,6,4,2] => 120
[5,3,2,1,4,6] => 120
[5,3,2,1,6,4] => 90
[5,3,2,4,1,6] => 45
[5,3,2,4,6,1] => 120
[5,3,2,6,1,4] => 15
[5,3,2,6,4,1] => 90
[5,3,4,1,2,6] => 144
[5,3,4,1,6,2] => 120
[5,3,4,2,1,6] => 120
[5,3,4,2,6,1] => 40
[5,3,4,6,1,2] => 90
[5,3,4,6,2,1] => 120
[5,3,6,1,2,4] => 120
[5,3,6,1,4,2] => 40
[5,3,6,2,1,4] => 90
[5,3,6,2,4,1] => 120
[5,3,6,4,1,2] => 120
[5,3,6,4,2,1] => 144
[5,4,1,2,3,6] => 120
[5,4,1,2,6,3] => 90
[5,4,1,3,2,6] => 144
[5,4,1,3,6,2] => 120
[5,4,1,6,2,3] => 120
[5,4,1,6,3,2] => 40
[5,4,2,1,3,6] => 144
[5,4,2,1,6,3] => 120
[5,4,2,3,1,6] => 120
[5,4,2,3,6,1] => 40
[5,4,2,6,1,3] => 90
[5,4,2,6,3,1] => 120
[5,4,3,1,2,6] => 90
[5,4,3,1,6,2] => 144
[5,4,3,2,1,6] => 45
[5,4,3,2,6,1] => 120
[5,4,3,6,1,2] => 120
[5,4,3,6,2,1] => 144
[5,4,6,1,2,3] => 90
[5,4,6,1,3,2] => 120
[5,4,6,2,1,3] => 15
[5,4,6,2,3,1] => 90
[5,4,6,3,1,2] => 90
[5,4,6,3,2,1] => 120
[5,6,1,2,3,4] => 40
[5,6,1,2,4,3] => 120
[5,6,1,3,2,4] => 120
[5,6,1,3,4,2] => 90
[5,6,1,4,2,3] => 144
[5,6,1,4,3,2] => 120
[5,6,2,1,3,4] => 120
[5,6,2,1,4,3] => 40
[5,6,2,3,1,4] => 90
[5,6,2,3,4,1] => 120
[5,6,2,4,1,3] => 120
[5,6,2,4,3,1] => 144
[5,6,3,1,2,4] => 144
[5,6,3,1,4,2] => 120
[5,6,3,2,1,4] => 120
[5,6,3,2,4,1] => 144
[5,6,3,4,1,2] => 45
[5,6,3,4,2,1] => 90
[5,6,4,1,2,3] => 120
[5,6,4,1,3,2] => 90
[5,6,4,2,1,3] => 90
[5,6,4,2,3,1] => 120
[5,6,4,3,1,2] => 15
[5,6,4,3,2,1] => 90
[6,1,2,3,4,5] => 120
[6,1,2,3,5,4] => 144
[6,1,2,4,3,5] => 144
[6,1,2,4,5,3] => 90
[6,1,2,5,3,4] => 120
[6,1,2,5,4,3] => 90
[6,1,3,2,4,5] => 144
[6,1,3,2,5,4] => 90
[6,1,3,4,2,5] => 90
[6,1,3,4,5,2] => 40
[6,1,3,5,2,4] => 144
[6,1,3,5,4,2] => 120
[6,1,4,2,3,5] => 120
[6,1,4,2,5,3] => 144
[6,1,4,3,2,5] => 90
[6,1,4,3,5,2] => 120
[6,1,4,5,2,3] => 120
[6,1,4,5,3,2] => 40
[6,1,5,2,3,4] => 90
[6,1,5,2,4,3] => 120
[6,1,5,3,2,4] => 120
[6,1,5,3,4,2] => 40
[6,1,5,4,2,3] => 144
[6,1,5,4,3,2] => 120
[6,2,1,3,4,5] => 144
[6,2,1,3,5,4] => 90
[6,2,1,4,3,5] => 90
[6,2,1,4,5,3] => 40
[6,2,1,5,3,4] => 144
[6,2,1,5,4,3] => 120
[6,2,3,1,4,5] => 90
[6,2,3,1,5,4] => 40
[6,2,3,4,1,5] => 40
[6,2,3,4,5,1] => 15
[6,2,3,5,1,4] => 90
[6,2,3,5,4,1] => 45
[6,2,4,1,3,5] => 144
[6,2,4,1,5,3] => 90
[6,2,4,3,1,5] => 120
[6,2,4,3,5,1] => 45
[6,2,4,5,1,3] => 144
[6,2,4,5,3,1] => 120
[6,2,5,1,3,4] => 120
[6,2,5,1,4,3] => 144
[6,2,5,3,1,4] => 144
[6,2,5,3,4,1] => 120
[6,2,5,4,1,3] => 90
[6,2,5,4,3,1] => 45
[6,3,1,2,4,5] => 120
[6,3,1,2,5,4] => 144
[6,3,1,4,2,5] => 144
[6,3,1,4,5,2] => 90
[6,3,1,5,2,4] => 120
[6,3,1,5,4,2] => 90
[6,3,2,1,4,5] => 90
[6,3,2,1,5,4] => 120
[6,3,2,4,1,5] => 120
[6,3,2,4,5,1] => 45
[6,3,2,5,1,4] => 90
[6,3,2,5,4,1] => 15
[6,3,4,1,2,5] => 120
[6,3,4,1,5,2] => 144
[6,3,4,2,1,5] => 40
[6,3,4,2,5,1] => 120
[6,3,4,5,1,2] => 120
[6,3,4,5,2,1] => 90
[6,3,5,1,2,4] => 40
[6,3,5,1,4,2] => 120
[6,3,5,2,1,4] => 120
[6,3,5,2,4,1] => 90
[6,3,5,4,1,2] => 144
[6,3,5,4,2,1] => 120
[6,4,1,2,3,5] => 90
[6,4,1,2,5,3] => 120
[6,4,1,3,2,5] => 120
[6,4,1,3,5,2] => 144
[6,4,1,5,2,3] => 40
[6,4,1,5,3,2] => 120
[6,4,2,1,3,5] => 120
[6,4,2,1,5,3] => 144
[6,4,2,3,1,5] => 40
[6,4,2,3,5,1] => 120
[6,4,2,5,1,3] => 120
[6,4,2,5,3,1] => 90
[6,4,3,1,2,5] => 144
[6,4,3,1,5,2] => 90
[6,4,3,2,1,5] => 120
[6,4,3,2,5,1] => 45
[6,4,3,5,1,2] => 144
[6,4,3,5,2,1] => 120
[6,4,5,1,2,3] => 120
[6,4,5,1,3,2] => 90
[6,4,5,2,1,3] => 90
[6,4,5,2,3,1] => 15
[6,4,5,3,1,2] => 120
[6,4,5,3,2,1] => 90
[6,5,1,2,3,4] => 120
[6,5,1,2,4,3] => 40
[6,5,1,3,2,4] => 90
[6,5,1,3,4,2] => 120
[6,5,1,4,2,3] => 120
[6,5,1,4,3,2] => 144
[6,5,2,1,3,4] => 40
[6,5,2,1,4,3] => 120
[6,5,2,3,1,4] => 120
[6,5,2,3,4,1] => 90
[6,5,2,4,1,3] => 144
[6,5,2,4,3,1] => 120
[6,5,3,1,2,4] => 120
[6,5,3,1,4,2] => 144
[6,5,3,2,1,4] => 144
[6,5,3,2,4,1] => 120
[6,5,3,4,1,2] => 90
[6,5,3,4,2,1] => 45
[6,5,4,1,2,3] => 90
[6,5,4,1,3,2] => 120
[6,5,4,2,1,3] => 120
[6,5,4,2,3,1] => 90
[6,5,4,3,1,2] => 90
[6,5,4,3,2,1] => 15
[1,2,3,4,5,6,7] => 1
[1,2,3,4,5,7,6] => 21
[1,2,3,4,6,5,7] => 21
[1,2,3,4,6,7,5] => 70
[1,2,3,4,7,5,6] => 70
[1,2,3,4,7,6,5] => 21
[1,2,3,5,4,6,7] => 21
[1,2,3,5,4,7,6] => 105
[1,2,3,5,6,4,7] => 70
[1,2,3,5,6,7,4] => 210
[1,2,3,5,7,4,6] => 210
[1,2,3,5,7,6,4] => 70
[1,2,3,6,4,5,7] => 70
[1,2,3,6,4,7,5] => 210
[1,2,3,6,5,4,7] => 21
[1,2,3,6,5,7,4] => 70
[1,2,3,6,7,4,5] => 105
[1,2,3,6,7,5,4] => 210
[1,2,3,7,4,5,6] => 210
[1,2,3,7,4,6,5] => 70
[1,2,3,7,5,4,6] => 70
[1,2,3,7,5,6,4] => 21
[1,2,3,7,6,4,5] => 210
[1,2,3,7,6,5,4] => 105
[1,2,4,3,5,6,7] => 21
[1,2,4,3,5,7,6] => 105
[1,2,4,3,6,5,7] => 105
[1,2,4,3,6,7,5] => 420
[1,2,4,3,7,5,6] => 420
[1,2,4,3,7,6,5] => 105
[1,2,4,5,3,6,7] => 70
[1,2,4,5,3,7,6] => 420
[1,2,4,5,6,3,7] => 210
[1,2,4,5,6,7,3] => 504
[1,2,4,5,7,3,6] => 504
[1,2,4,5,7,6,3] => 210
[1,2,4,6,3,5,7] => 210
[1,2,4,6,3,7,5] => 504
[1,2,4,6,5,3,7] => 70
[1,2,4,6,5,7,3] => 210
[1,2,4,6,7,3,5] => 420
[1,2,4,6,7,5,3] => 504
[1,2,4,7,3,5,6] => 504
[1,2,4,7,3,6,5] => 210
[1,2,4,7,5,3,6] => 210
[1,2,4,7,5,6,3] => 70
[1,2,4,7,6,3,5] => 504
[1,2,4,7,6,5,3] => 420
[1,2,5,3,4,6,7] => 70
[1,2,5,3,4,7,6] => 420
[1,2,5,3,6,4,7] => 210
[1,2,5,3,6,7,4] => 504
[1,2,5,3,7,4,6] => 504
[1,2,5,3,7,6,4] => 210
[1,2,5,4,3,6,7] => 21
[1,2,5,4,3,7,6] => 105
[1,2,5,4,6,3,7] => 70
[1,2,5,4,6,7,3] => 210
[1,2,5,4,7,3,6] => 210
[1,2,5,4,7,6,3] => 70
[1,2,5,6,3,4,7] => 105
[1,2,5,6,3,7,4] => 420
[1,2,5,6,4,3,7] => 210
[1,2,5,6,4,7,3] => 504
[1,2,5,6,7,3,4] => 504
[1,2,5,6,7,4,3] => 420
[1,2,5,7,3,4,6] => 420
[1,2,5,7,3,6,4] => 105
[1,2,5,7,4,3,6] => 504
[1,2,5,7,4,6,3] => 210
[1,2,5,7,6,3,4] => 420
[1,2,5,7,6,4,3] => 504
[1,2,6,3,4,5,7] => 210
[1,2,6,3,4,7,5] => 504
[1,2,6,3,5,4,7] => 70
[1,2,6,3,5,7,4] => 210
[1,2,6,3,7,4,5] => 420
[1,2,6,3,7,5,4] => 504
[1,2,6,4,3,5,7] => 70
[1,2,6,4,3,7,5] => 210
[1,2,6,4,5,3,7] => 21
[1,2,6,4,5,7,3] => 70
[1,2,6,4,7,3,5] => 105
[1,2,6,4,7,5,3] => 210
[1,2,6,5,3,4,7] => 210
[1,2,6,5,3,7,4] => 504
[1,2,6,5,4,3,7] => 105
[1,2,6,5,4,7,3] => 420
[1,2,6,5,7,3,4] => 420
[1,2,6,5,7,4,3] => 504
[1,2,6,7,3,4,5] => 504
[1,2,6,7,3,5,4] => 420
[1,2,6,7,4,3,5] => 420
[1,2,6,7,4,5,3] => 504
[1,2,6,7,5,3,4] => 105
[1,2,6,7,5,4,3] => 210
[1,2,7,3,4,5,6] => 504
[1,2,7,3,4,6,5] => 210
[1,2,7,3,5,4,6] => 210
[1,2,7,3,5,6,4] => 70
[1,2,7,3,6,4,5] => 504
[1,2,7,3,6,5,4] => 420
[1,2,7,4,3,5,6] => 210
[1,2,7,4,3,6,5] => 70
[1,2,7,4,5,3,6] => 70
[1,2,7,4,5,6,3] => 21
[1,2,7,4,6,3,5] => 210
[1,2,7,4,6,5,3] => 105
[1,2,7,5,3,4,6] => 504
[1,2,7,5,3,6,4] => 210
[1,2,7,5,4,3,6] => 420
[1,2,7,5,4,6,3] => 105
[1,2,7,5,6,3,4] => 504
[1,2,7,5,6,4,3] => 420
[1,2,7,6,3,4,5] => 420
[1,2,7,6,3,5,4] => 504
[1,2,7,6,4,3,5] => 504
[1,2,7,6,4,5,3] => 420
[1,2,7,6,5,3,4] => 210
[1,2,7,6,5,4,3] => 105
[1,3,2,4,5,6,7] => 21
[1,3,2,4,5,7,6] => 105
[1,3,2,4,6,5,7] => 105
[1,3,2,4,6,7,5] => 420
[1,3,2,4,7,5,6] => 420
[1,3,2,4,7,6,5] => 105
[1,3,2,5,4,6,7] => 105
[1,3,2,5,4,7,6] => 105
[1,3,2,5,6,4,7] => 420
[1,3,2,5,6,7,4] => 630
[1,3,2,5,7,4,6] => 630
[1,3,2,5,7,6,4] => 420
[1,3,2,6,4,5,7] => 420
[1,3,2,6,4,7,5] => 630
[1,3,2,6,5,4,7] => 105
[1,3,2,6,5,7,4] => 420
[1,3,2,6,7,4,5] => 105
[1,3,2,6,7,5,4] => 630
[1,3,2,7,4,5,6] => 630
[1,3,2,7,4,6,5] => 420
[1,3,2,7,5,4,6] => 420
[1,3,2,7,5,6,4] => 105
[1,3,2,7,6,4,5] => 630
[1,3,2,7,6,5,4] => 105
[1,3,4,2,5,6,7] => 70
[1,3,4,2,5,7,6] => 420
[1,3,4,2,6,5,7] => 420
[1,3,4,2,6,7,5] => 280
[1,3,4,2,7,5,6] => 280
[1,3,4,2,7,6,5] => 420
[1,3,4,5,2,6,7] => 210
[1,3,4,5,2,7,6] => 630
[1,3,4,5,6,2,7] => 504
[1,3,4,5,6,7,2] => 840
[1,3,4,5,7,2,6] => 840
[1,3,4,5,7,6,2] => 504
[1,3,4,6,2,5,7] => 504
[1,3,4,6,2,7,5] => 840
[1,3,4,6,5,2,7] => 210
[1,3,4,6,5,7,2] => 504
[1,3,4,6,7,2,5] => 630
[1,3,4,6,7,5,2] => 840
[1,3,4,7,2,5,6] => 840
[1,3,4,7,2,6,5] => 504
[1,3,4,7,5,2,6] => 504
[1,3,4,7,5,6,2] => 210
[1,3,4,7,6,2,5] => 840
[1,3,4,7,6,5,2] => 630
[1,3,5,2,4,6,7] => 210
[1,3,5,2,4,7,6] => 630
[1,3,5,2,6,4,7] => 504
[1,3,5,2,6,7,4] => 840
[1,3,5,2,7,4,6] => 840
[1,3,5,2,7,6,4] => 504
[1,3,5,4,2,6,7] => 70
[1,3,5,4,2,7,6] => 420
[1,3,5,4,6,2,7] => 210
[1,3,5,4,6,7,2] => 504
[1,3,5,4,7,2,6] => 504
[1,3,5,4,7,6,2] => 210
[1,3,5,6,2,4,7] => 420
[1,3,5,6,2,7,4] => 280
[1,3,5,6,4,2,7] => 504
[1,3,5,6,4,7,2] => 840
[1,3,5,6,7,2,4] => 840
[1,3,5,6,7,4,2] => 630
[1,3,5,7,2,4,6] => 280
[1,3,5,7,2,6,4] => 420
[1,3,5,7,4,2,6] => 840
[1,3,5,7,4,6,2] => 504
[1,3,5,7,6,2,4] => 630
[1,3,5,7,6,4,2] => 840
[1,3,6,2,4,5,7] => 504
[1,3,6,2,4,7,5] => 840
[1,3,6,2,5,4,7] => 210
[1,3,6,2,5,7,4] => 504
[1,3,6,2,7,4,5] => 630
[1,3,6,2,7,5,4] => 840
[1,3,6,4,2,5,7] => 210
[1,3,6,4,2,7,5] => 504
[1,3,6,4,5,2,7] => 70
[1,3,6,4,5,7,2] => 210
[1,3,6,4,7,2,5] => 420
[1,3,6,4,7,5,2] => 504
[1,3,6,5,2,4,7] => 504
[1,3,6,5,2,7,4] => 840
[1,3,6,5,4,2,7] => 420
[1,3,6,5,4,7,2] => 630
[1,3,6,5,7,2,4] => 280
[1,3,6,5,7,4,2] => 840
[1,3,6,7,2,4,5] => 840
[1,3,6,7,2,5,4] => 630
[1,3,6,7,4,2,5] => 280
[1,3,6,7,4,5,2] => 840
[1,3,6,7,5,2,4] => 420
[1,3,6,7,5,4,2] => 504
[1,3,7,2,4,5,6] => 840
[1,3,7,2,4,6,5] => 504
[1,3,7,2,5,4,6] => 504
[1,3,7,2,5,6,4] => 210
[1,3,7,2,6,4,5] => 840
[1,3,7,2,6,5,4] => 630
[1,3,7,4,2,5,6] => 504
[1,3,7,4,2,6,5] => 210
[1,3,7,4,5,2,6] => 210
[1,3,7,4,5,6,2] => 70
[1,3,7,4,6,2,5] => 504
[1,3,7,4,6,5,2] => 420
[1,3,7,5,2,4,6] => 840
[1,3,7,5,2,6,4] => 504
[1,3,7,5,4,2,6] => 630
[1,3,7,5,4,6,2] => 420
[1,3,7,5,6,2,4] => 840
[1,3,7,5,6,4,2] => 280
[1,3,7,6,2,4,5] => 630
[1,3,7,6,2,5,4] => 840
[1,3,7,6,4,2,5] => 840
[1,3,7,6,4,5,2] => 280
[1,3,7,6,5,2,4] => 504
[1,3,7,6,5,4,2] => 420
[1,4,2,3,5,6,7] => 70
[1,4,2,3,5,7,6] => 420
[1,4,2,3,6,5,7] => 420
[1,4,2,3,6,7,5] => 280
[1,4,2,3,7,5,6] => 280
[1,4,2,3,7,6,5] => 420
[1,4,2,5,3,6,7] => 210
[1,4,2,5,3,7,6] => 630
[1,4,2,5,6,3,7] => 504
[1,4,2,5,6,7,3] => 840
[1,4,2,5,7,3,6] => 840
[1,4,2,5,7,6,3] => 504
[1,4,2,6,3,5,7] => 504
[1,4,2,6,3,7,5] => 840
[1,4,2,6,5,3,7] => 210
[1,4,2,6,5,7,3] => 504
[1,4,2,6,7,3,5] => 630
[1,4,2,6,7,5,3] => 840
[1,4,2,7,3,5,6] => 840
[1,4,2,7,3,6,5] => 504
[1,4,2,7,5,3,6] => 504
[1,4,2,7,5,6,3] => 210
[1,4,2,7,6,3,5] => 840
[1,4,2,7,6,5,3] => 630
[1,4,3,2,5,6,7] => 21
[1,4,3,2,5,7,6] => 105
[1,4,3,2,6,5,7] => 105
[1,4,3,2,6,7,5] => 420
[1,4,3,2,7,5,6] => 420
[1,4,3,2,7,6,5] => 105
[1,4,3,5,2,6,7] => 70
[1,4,3,5,2,7,6] => 420
[1,4,3,5,6,2,7] => 210
[1,4,3,5,6,7,2] => 504
[1,4,3,5,7,2,6] => 504
[1,4,3,5,7,6,2] => 210
[1,4,3,6,2,5,7] => 210
[1,4,3,6,2,7,5] => 504
[1,4,3,6,5,2,7] => 70
[1,4,3,6,5,7,2] => 210
[1,4,3,6,7,2,5] => 420
[1,4,3,6,7,5,2] => 504
[1,4,3,7,2,5,6] => 504
[1,4,3,7,2,6,5] => 210
[1,4,3,7,5,2,6] => 210
[1,4,3,7,5,6,2] => 70
[1,4,3,7,6,2,5] => 504
[1,4,3,7,6,5,2] => 420
[1,4,5,2,3,6,7] => 105
[1,4,5,2,3,7,6] => 105
[1,4,5,2,6,3,7] => 420
[1,4,5,2,6,7,3] => 630
[1,4,5,2,7,3,6] => 630
[1,4,5,2,7,6,3] => 420
[1,4,5,3,2,6,7] => 210
[1,4,5,3,2,7,6] => 630
[1,4,5,3,6,2,7] => 504
[1,4,5,3,6,7,2] => 840
[1,4,5,3,7,2,6] => 840
[1,4,5,3,7,6,2] => 504
[1,4,5,6,2,3,7] => 504
[1,4,5,6,2,7,3] => 840
[1,4,5,6,3,2,7] => 420
[1,4,5,6,3,7,2] => 630
[1,4,5,6,7,2,3] => 280
[1,4,5,6,7,3,2] => 840
[1,4,5,7,2,3,6] => 840
[1,4,5,7,2,6,3] => 504
[1,4,5,7,3,2,6] => 630
[1,4,5,7,3,6,2] => 420
[1,4,5,7,6,2,3] => 840
[1,4,5,7,6,3,2] => 280
[1,4,6,2,3,5,7] => 420
[1,4,6,2,3,7,5] => 630
[1,4,6,2,5,3,7] => 105
[1,4,6,2,5,7,3] => 420
[1,4,6,2,7,3,5] => 105
[1,4,6,2,7,5,3] => 630
[1,4,6,3,2,5,7] => 504
[1,4,6,3,2,7,5] => 840
[1,4,6,3,5,2,7] => 210
[1,4,6,3,5,7,2] => 504
[1,4,6,3,7,2,5] => 630
[1,4,6,3,7,5,2] => 840
[1,4,6,5,2,3,7] => 420
[1,4,6,5,2,7,3] => 280
[1,4,6,5,3,2,7] => 504
[1,4,6,5,3,7,2] => 840
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Description
The size of the conjugacy class of a permutation.
Two permutations are conjugate if and only if they have the same cycle type, this statistic is then computed as described in St000182The number of permutations whose cycle type is the given integer partition..
Code
def statistic(pi):
     la = list(pi.cycle_type())
     return factorial(sum(la))/prod(la)/prod(factorial(la.count(j)) for j in [1..la[0]+1])

def statistic_alternative(pi):
    return len(pi.conjugacy_class())
Created
Jan 22, 2017 at 19:17 by Christian Stump
Updated
Jan 22, 2017 at 20:34 by Christian Stump