Identifier
- St000110: Permutations ⟶ ℤ
Values
=>
[1]=>1
[1,2]=>1
[2,1]=>2
[1,2,3]=>1
[1,3,2]=>2
[2,1,3]=>2
[2,3,1]=>3
[3,1,2]=>3
[3,2,1]=>6
[1,2,3,4]=>1
[1,2,4,3]=>2
[1,3,2,4]=>2
[1,3,4,2]=>3
[1,4,2,3]=>3
[1,4,3,2]=>6
[2,1,3,4]=>2
[2,1,4,3]=>4
[2,3,1,4]=>3
[2,3,4,1]=>4
[2,4,1,3]=>5
[2,4,3,1]=>8
[3,1,2,4]=>3
[3,1,4,2]=>5
[3,2,1,4]=>6
[3,2,4,1]=>8
[3,4,1,2]=>6
[3,4,2,1]=>12
[4,1,2,3]=>4
[4,1,3,2]=>8
[4,2,1,3]=>8
[4,2,3,1]=>12
[4,3,1,2]=>12
[4,3,2,1]=>24
[1,2,3,4,5]=>1
[1,2,3,5,4]=>2
[1,2,4,3,5]=>2
[1,2,4,5,3]=>3
[1,2,5,3,4]=>3
[1,2,5,4,3]=>6
[1,3,2,4,5]=>2
[1,3,2,5,4]=>4
[1,3,4,2,5]=>3
[1,3,4,5,2]=>4
[1,3,5,2,4]=>5
[1,3,5,4,2]=>8
[1,4,2,3,5]=>3
[1,4,2,5,3]=>5
[1,4,3,2,5]=>6
[1,4,3,5,2]=>8
[1,4,5,2,3]=>6
[1,4,5,3,2]=>12
[1,5,2,3,4]=>4
[1,5,2,4,3]=>8
[1,5,3,2,4]=>8
[1,5,3,4,2]=>12
[1,5,4,2,3]=>12
[1,5,4,3,2]=>24
[2,1,3,4,5]=>2
[2,1,3,5,4]=>4
[2,1,4,3,5]=>4
[2,1,4,5,3]=>6
[2,1,5,3,4]=>6
[2,1,5,4,3]=>12
[2,3,1,4,5]=>3
[2,3,1,5,4]=>6
[2,3,4,1,5]=>4
[2,3,4,5,1]=>5
[2,3,5,1,4]=>7
[2,3,5,4,1]=>10
[2,4,1,3,5]=>5
[2,4,1,5,3]=>8
[2,4,3,1,5]=>8
[2,4,3,5,1]=>10
[2,4,5,1,3]=>9
[2,4,5,3,1]=>15
[2,5,1,3,4]=>7
[2,5,1,4,3]=>14
[2,5,3,1,4]=>11
[2,5,3,4,1]=>15
[2,5,4,1,3]=>18
[2,5,4,3,1]=>30
[3,1,2,4,5]=>3
[3,1,2,5,4]=>6
[3,1,4,2,5]=>5
[3,1,4,5,2]=>7
[3,1,5,2,4]=>8
[3,1,5,4,2]=>14
[3,2,1,4,5]=>6
[3,2,1,5,4]=>12
[3,2,4,1,5]=>8
[3,2,4,5,1]=>10
[3,2,5,1,4]=>14
[3,2,5,4,1]=>20
[3,4,1,2,5]=>6
[3,4,1,5,2]=>9
[3,4,2,1,5]=>12
[3,4,2,5,1]=>15
[3,4,5,1,2]=>10
[3,4,5,2,1]=>20
[3,5,1,2,4]=>9
[3,5,1,4,2]=>16
[3,5,2,1,4]=>18
[3,5,2,4,1]=>25
[3,5,4,1,2]=>20
[3,5,4,2,1]=>40
[4,1,2,3,5]=>4
[4,1,2,5,3]=>7
[4,1,3,2,5]=>8
[4,1,3,5,2]=>11
[4,1,5,2,3]=>9
[4,1,5,3,2]=>18
[4,2,1,3,5]=>8
[4,2,1,5,3]=>14
[4,2,3,1,5]=>12
[4,2,3,5,1]=>15
[4,2,5,1,3]=>16
[4,2,5,3,1]=>25
[4,3,1,2,5]=>12
[4,3,1,5,2]=>18
[4,3,2,1,5]=>24
[4,3,2,5,1]=>30
[4,3,5,1,2]=>20
[4,3,5,2,1]=>40
[4,5,1,2,3]=>10
[4,5,1,3,2]=>20
[4,5,2,1,3]=>20
[4,5,2,3,1]=>30
[4,5,3,1,2]=>30
[4,5,3,2,1]=>60
[5,1,2,3,4]=>5
[5,1,2,4,3]=>10
[5,1,3,2,4]=>10
[5,1,3,4,2]=>15
[5,1,4,2,3]=>15
[5,1,4,3,2]=>30
[5,2,1,3,4]=>10
[5,2,1,4,3]=>20
[5,2,3,1,4]=>15
[5,2,3,4,1]=>20
[5,2,4,1,3]=>25
[5,2,4,3,1]=>40
[5,3,1,2,4]=>15
[5,3,1,4,2]=>25
[5,3,2,1,4]=>30
[5,3,2,4,1]=>40
[5,3,4,1,2]=>30
[5,3,4,2,1]=>60
[5,4,1,2,3]=>20
[5,4,1,3,2]=>40
[5,4,2,1,3]=>40
[5,4,2,3,1]=>60
[5,4,3,1,2]=>60
[5,4,3,2,1]=>120
[1,2,3,4,5,6]=>1
[1,2,3,4,6,5]=>2
[1,2,3,5,4,6]=>2
[1,2,3,5,6,4]=>3
[1,2,3,6,4,5]=>3
[1,2,3,6,5,4]=>6
[1,2,4,3,5,6]=>2
[1,2,4,3,6,5]=>4
[1,2,4,5,3,6]=>3
[1,2,4,5,6,3]=>4
[1,2,4,6,3,5]=>5
[1,2,4,6,5,3]=>8
[1,2,5,3,4,6]=>3
[1,2,5,3,6,4]=>5
[1,2,5,4,3,6]=>6
[1,2,5,4,6,3]=>8
[1,2,5,6,3,4]=>6
[1,2,5,6,4,3]=>12
[1,2,6,3,4,5]=>4
[1,2,6,3,5,4]=>8
[1,2,6,4,3,5]=>8
[1,2,6,4,5,3]=>12
[1,2,6,5,3,4]=>12
[1,2,6,5,4,3]=>24
[1,3,2,4,5,6]=>2
[1,3,2,4,6,5]=>4
[1,3,2,5,4,6]=>4
[1,3,2,5,6,4]=>6
[1,3,2,6,4,5]=>6
[1,3,2,6,5,4]=>12
[1,3,4,2,5,6]=>3
[1,3,4,2,6,5]=>6
[1,3,4,5,2,6]=>4
[1,3,4,5,6,2]=>5
[1,3,4,6,2,5]=>7
[1,3,4,6,5,2]=>10
[1,3,5,2,4,6]=>5
[1,3,5,2,6,4]=>8
[1,3,5,4,2,6]=>8
[1,3,5,4,6,2]=>10
[1,3,5,6,2,4]=>9
[1,3,5,6,4,2]=>15
[1,3,6,2,4,5]=>7
[1,3,6,2,5,4]=>14
[1,3,6,4,2,5]=>11
[1,3,6,4,5,2]=>15
[1,3,6,5,2,4]=>18
[1,3,6,5,4,2]=>30
[1,4,2,3,5,6]=>3
[1,4,2,3,6,5]=>6
[1,4,2,5,3,6]=>5
[1,4,2,5,6,3]=>7
[1,4,2,6,3,5]=>8
[1,4,2,6,5,3]=>14
[1,4,3,2,5,6]=>6
[1,4,3,2,6,5]=>12
[1,4,3,5,2,6]=>8
[1,4,3,5,6,2]=>10
[1,4,3,6,2,5]=>14
[1,4,3,6,5,2]=>20
[1,4,5,2,3,6]=>6
[1,4,5,2,6,3]=>9
[1,4,5,3,2,6]=>12
[1,4,5,3,6,2]=>15
[1,4,5,6,2,3]=>10
[1,4,5,6,3,2]=>20
[1,4,6,2,3,5]=>9
[1,4,6,2,5,3]=>16
[1,4,6,3,2,5]=>18
[1,4,6,3,5,2]=>25
[1,4,6,5,2,3]=>20
[1,4,6,5,3,2]=>40
[1,5,2,3,4,6]=>4
[1,5,2,3,6,4]=>7
[1,5,2,4,3,6]=>8
[1,5,2,4,6,3]=>11
[1,5,2,6,3,4]=>9
[1,5,2,6,4,3]=>18
[1,5,3,2,4,6]=>8
[1,5,3,2,6,4]=>14
[1,5,3,4,2,6]=>12
[1,5,3,4,6,2]=>15
[1,5,3,6,2,4]=>16
[1,5,3,6,4,2]=>25
[1,5,4,2,3,6]=>12
[1,5,4,2,6,3]=>18
[1,5,4,3,2,6]=>24
[1,5,4,3,6,2]=>30
[1,5,4,6,2,3]=>20
[1,5,4,6,3,2]=>40
[1,5,6,2,3,4]=>10
[1,5,6,2,4,3]=>20
[1,5,6,3,2,4]=>20
[1,5,6,3,4,2]=>30
[1,5,6,4,2,3]=>30
[1,5,6,4,3,2]=>60
[1,6,2,3,4,5]=>5
[1,6,2,3,5,4]=>10
[1,6,2,4,3,5]=>10
[1,6,2,4,5,3]=>15
[1,6,2,5,3,4]=>15
[1,6,2,5,4,3]=>30
[1,6,3,2,4,5]=>10
[1,6,3,2,5,4]=>20
[1,6,3,4,2,5]=>15
[1,6,3,4,5,2]=>20
[1,6,3,5,2,4]=>25
[1,6,3,5,4,2]=>40
[1,6,4,2,3,5]=>15
[1,6,4,2,5,3]=>25
[1,6,4,3,2,5]=>30
[1,6,4,3,5,2]=>40
[1,6,4,5,2,3]=>30
[1,6,4,5,3,2]=>60
[1,6,5,2,3,4]=>20
[1,6,5,2,4,3]=>40
[1,6,5,3,2,4]=>40
[1,6,5,3,4,2]=>60
[1,6,5,4,2,3]=>60
[1,6,5,4,3,2]=>120
[2,1,3,4,5,6]=>2
[2,1,3,4,6,5]=>4
[2,1,3,5,4,6]=>4
[2,1,3,5,6,4]=>6
[2,1,3,6,4,5]=>6
[2,1,3,6,5,4]=>12
[2,1,4,3,5,6]=>4
[2,1,4,3,6,5]=>8
[2,1,4,5,3,6]=>6
[2,1,4,5,6,3]=>8
[2,1,4,6,3,5]=>10
[2,1,4,6,5,3]=>16
[2,1,5,3,4,6]=>6
[2,1,5,3,6,4]=>10
[2,1,5,4,3,6]=>12
[2,1,5,4,6,3]=>16
[2,1,5,6,3,4]=>12
[2,1,5,6,4,3]=>24
[2,1,6,3,4,5]=>8
[2,1,6,3,5,4]=>16
[2,1,6,4,3,5]=>16
[2,1,6,4,5,3]=>24
[2,1,6,5,3,4]=>24
[2,1,6,5,4,3]=>48
[2,3,1,4,5,6]=>3
[2,3,1,4,6,5]=>6
[2,3,1,5,4,6]=>6
[2,3,1,5,6,4]=>9
[2,3,1,6,4,5]=>9
[2,3,1,6,5,4]=>18
[2,3,4,1,5,6]=>4
[2,3,4,1,6,5]=>8
[2,3,4,5,1,6]=>5
[2,3,4,5,6,1]=>6
[2,3,4,6,1,5]=>9
[2,3,4,6,5,1]=>12
[2,3,5,1,4,6]=>7
[2,3,5,1,6,4]=>11
[2,3,5,4,1,6]=>10
[2,3,5,4,6,1]=>12
[2,3,5,6,1,4]=>12
[2,3,5,6,4,1]=>18
[2,3,6,1,4,5]=>10
[2,3,6,1,5,4]=>20
[2,3,6,4,1,5]=>14
[2,3,6,4,5,1]=>18
[2,3,6,5,1,4]=>24
[2,3,6,5,4,1]=>36
[2,4,1,3,5,6]=>5
[2,4,1,3,6,5]=>10
[2,4,1,5,3,6]=>8
[2,4,1,5,6,3]=>11
[2,4,1,6,3,5]=>13
[2,4,1,6,5,3]=>22
[2,4,3,1,5,6]=>8
[2,4,3,1,6,5]=>16
[2,4,3,5,1,6]=>10
[2,4,3,5,6,1]=>12
[2,4,3,6,1,5]=>18
[2,4,3,6,5,1]=>24
[2,4,5,1,3,6]=>9
[2,4,5,1,6,3]=>13
[2,4,5,3,1,6]=>15
[2,4,5,3,6,1]=>18
[2,4,5,6,1,3]=>14
[2,4,5,6,3,1]=>24
[2,4,6,1,3,5]=>14
[2,4,6,1,5,3]=>24
[2,4,6,3,1,5]=>23
[2,4,6,3,5,1]=>30
[2,4,6,5,1,3]=>28
[2,4,6,5,3,1]=>48
[2,5,1,3,4,6]=>7
[2,5,1,3,6,4]=>12
[2,5,1,4,3,6]=>14
[2,5,1,4,6,3]=>19
[2,5,1,6,3,4]=>15
[2,5,1,6,4,3]=>30
[2,5,3,1,4,6]=>11
[2,5,3,1,6,4]=>19
[2,5,3,4,1,6]=>15
[2,5,3,4,6,1]=>18
[2,5,3,6,1,4]=>21
[2,5,3,6,4,1]=>30
[2,5,4,1,3,6]=>18
[2,5,4,1,6,3]=>26
[2,5,4,3,1,6]=>30
[2,5,4,3,6,1]=>36
[2,5,4,6,1,3]=>28
[2,5,4,6,3,1]=>48
[2,5,6,1,3,4]=>16
[2,5,6,1,4,3]=>32
[2,5,6,3,1,4]=>26
[2,5,6,3,4,1]=>36
[2,5,6,4,1,3]=>42
[2,5,6,4,3,1]=>72
[2,6,1,3,4,5]=>9
[2,6,1,3,5,4]=>18
[2,6,1,4,3,5]=>18
[2,6,1,4,5,3]=>27
[2,6,1,5,3,4]=>27
[2,6,1,5,4,3]=>54
[2,6,3,1,4,5]=>14
[2,6,3,1,5,4]=>28
[2,6,3,4,1,5]=>19
[2,6,3,4,5,1]=>24
[2,6,3,5,1,4]=>33
[2,6,3,5,4,1]=>48
[2,6,4,1,3,5]=>23
[2,6,4,1,5,3]=>37
[2,6,4,3,1,5]=>38
[2,6,4,3,5,1]=>48
[2,6,4,5,1,3]=>42
[2,6,4,5,3,1]=>72
[2,6,5,1,3,4]=>32
[2,6,5,1,4,3]=>64
[2,6,5,3,1,4]=>52
[2,6,5,3,4,1]=>72
[2,6,5,4,1,3]=>84
[2,6,5,4,3,1]=>144
[3,1,2,4,5,6]=>3
[3,1,2,4,6,5]=>6
[3,1,2,5,4,6]=>6
[3,1,2,5,6,4]=>9
[3,1,2,6,4,5]=>9
[3,1,2,6,5,4]=>18
[3,1,4,2,5,6]=>5
[3,1,4,2,6,5]=>10
[3,1,4,5,2,6]=>7
[3,1,4,5,6,2]=>9
[3,1,4,6,2,5]=>12
[3,1,4,6,5,2]=>18
[3,1,5,2,4,6]=>8
[3,1,5,2,6,4]=>13
[3,1,5,4,2,6]=>14
[3,1,5,4,6,2]=>18
[3,1,5,6,2,4]=>15
[3,1,5,6,4,2]=>27
[3,1,6,2,4,5]=>11
[3,1,6,2,5,4]=>22
[3,1,6,4,2,5]=>19
[3,1,6,4,5,2]=>27
[3,1,6,5,2,4]=>30
[3,1,6,5,4,2]=>54
[3,2,1,4,5,6]=>6
[3,2,1,4,6,5]=>12
[3,2,1,5,4,6]=>12
[3,2,1,5,6,4]=>18
[3,2,1,6,4,5]=>18
[3,2,1,6,5,4]=>36
[3,2,4,1,5,6]=>8
[3,2,4,1,6,5]=>16
[3,2,4,5,1,6]=>10
[3,2,4,5,6,1]=>12
[3,2,4,6,1,5]=>18
[3,2,4,6,5,1]=>24
[3,2,5,1,4,6]=>14
[3,2,5,1,6,4]=>22
[3,2,5,4,1,6]=>20
[3,2,5,4,6,1]=>24
[3,2,5,6,1,4]=>24
[3,2,5,6,4,1]=>36
[3,2,6,1,4,5]=>20
[3,2,6,1,5,4]=>40
[3,2,6,4,1,5]=>28
[3,2,6,4,5,1]=>36
[3,2,6,5,1,4]=>48
[3,2,6,5,4,1]=>72
[3,4,1,2,5,6]=>6
[3,4,1,2,6,5]=>12
[3,4,1,5,2,6]=>9
[3,4,1,5,6,2]=>12
[3,4,1,6,2,5]=>15
[3,4,1,6,5,2]=>24
[3,4,2,1,5,6]=>12
[3,4,2,1,6,5]=>24
[3,4,2,5,1,6]=>15
[3,4,2,5,6,1]=>18
[3,4,2,6,1,5]=>27
[3,4,2,6,5,1]=>36
[3,4,5,1,2,6]=>10
[3,4,5,1,6,2]=>14
[3,4,5,2,1,6]=>20
[3,4,5,2,6,1]=>24
[3,4,5,6,1,2]=>15
[3,4,5,6,2,1]=>30
[3,4,6,1,2,5]=>16
[3,4,6,1,5,2]=>26
[3,4,6,2,1,5]=>32
[3,4,6,2,5,1]=>42
[3,4,6,5,1,2]=>30
[3,4,6,5,2,1]=>60
[3,5,1,2,4,6]=>9
[3,5,1,2,6,4]=>15
[3,5,1,4,2,6]=>16
[3,5,1,4,6,2]=>21
[3,5,1,6,2,4]=>18
[3,5,1,6,4,2]=>33
[3,5,2,1,4,6]=>18
[3,5,2,1,6,4]=>30
[3,5,2,4,1,6]=>25
[3,5,2,4,6,1]=>30
[3,5,2,6,1,4]=>33
[3,5,2,6,4,1]=>48
[3,5,4,1,2,6]=>20
[3,5,4,1,6,2]=>28
[3,5,4,2,1,6]=>40
[3,5,4,2,6,1]=>48
[3,5,4,6,1,2]=>30
[3,5,4,6,2,1]=>60
[3,5,6,1,2,4]=>19
[3,5,6,1,4,2]=>35
[3,5,6,2,1,4]=>38
[3,5,6,2,4,1]=>54
[3,5,6,4,1,2]=>45
[3,5,6,4,2,1]=>90
[3,6,1,2,4,5]=>12
[3,6,1,2,5,4]=>24
[3,6,1,4,2,5]=>21
[3,6,1,4,5,2]=>30
[3,6,1,5,2,4]=>33
[3,6,1,5,4,2]=>60
[3,6,2,1,4,5]=>24
[3,6,2,1,5,4]=>48
[3,6,2,4,1,5]=>33
[3,6,2,4,5,1]=>42
[3,6,2,5,1,4]=>57
[3,6,2,5,4,1]=>84
[3,6,4,1,2,5]=>26
[3,6,4,1,5,2]=>40
[3,6,4,2,1,5]=>52
[3,6,4,2,5,1]=>66
[3,6,4,5,1,2]=>45
[3,6,4,5,2,1]=>90
[3,6,5,1,2,4]=>38
[3,6,5,1,4,2]=>70
[3,6,5,2,1,4]=>76
[3,6,5,2,4,1]=>108
[3,6,5,4,1,2]=>90
[3,6,5,4,2,1]=>180
[4,1,2,3,5,6]=>4
[4,1,2,3,6,5]=>8
[4,1,2,5,3,6]=>7
[4,1,2,5,6,3]=>10
[4,1,2,6,3,5]=>11
[4,1,2,6,5,3]=>20
[4,1,3,2,5,6]=>8
[4,1,3,2,6,5]=>16
[4,1,3,5,2,6]=>11
[4,1,3,5,6,2]=>14
[4,1,3,6,2,5]=>19
[4,1,3,6,5,2]=>28
[4,1,5,2,3,6]=>9
[4,1,5,2,6,3]=>14
[4,1,5,3,2,6]=>18
[4,1,5,3,6,2]=>23
[4,1,5,6,2,3]=>16
[4,1,5,6,3,2]=>32
[4,1,6,2,3,5]=>13
[4,1,6,2,5,3]=>24
[4,1,6,3,2,5]=>26
[4,1,6,3,5,2]=>37
[4,1,6,5,2,3]=>32
[4,1,6,5,3,2]=>64
[4,2,1,3,5,6]=>8
[4,2,1,3,6,5]=>16
[4,2,1,5,3,6]=>14
[4,2,1,5,6,3]=>20
[4,2,1,6,3,5]=>22
[4,2,1,6,5,3]=>40
[4,2,3,1,5,6]=>12
[4,2,3,1,6,5]=>24
[4,2,3,5,1,6]=>15
[4,2,3,5,6,1]=>18
[4,2,3,6,1,5]=>27
[4,2,3,6,5,1]=>36
[4,2,5,1,3,6]=>16
[4,2,5,1,6,3]=>24
[4,2,5,3,1,6]=>25
[4,2,5,3,6,1]=>30
[4,2,5,6,1,3]=>26
[4,2,5,6,3,1]=>42
[4,2,6,1,3,5]=>24
[4,2,6,1,5,3]=>44
[4,2,6,3,1,5]=>37
[4,2,6,3,5,1]=>48
[4,2,6,5,1,3]=>52
[4,2,6,5,3,1]=>84
[4,3,1,2,5,6]=>12
[4,3,1,2,6,5]=>24
[4,3,1,5,2,6]=>18
[4,3,1,5,6,2]=>24
[4,3,1,6,2,5]=>30
[4,3,1,6,5,2]=>48
[4,3,2,1,5,6]=>24
[4,3,2,1,6,5]=>48
[4,3,2,5,1,6]=>30
[4,3,2,5,6,1]=>36
[4,3,2,6,1,5]=>54
[4,3,2,6,5,1]=>72
[4,3,5,1,2,6]=>20
[4,3,5,1,6,2]=>28
[4,3,5,2,1,6]=>40
[4,3,5,2,6,1]=>48
[4,3,5,6,1,2]=>30
[4,3,5,6,2,1]=>60
[4,3,6,1,2,5]=>32
[4,3,6,1,5,2]=>52
[4,3,6,2,1,5]=>64
[4,3,6,2,5,1]=>84
[4,3,6,5,1,2]=>60
[4,3,6,5,2,1]=>120
[4,5,1,2,3,6]=>10
[4,5,1,2,6,3]=>16
[4,5,1,3,2,6]=>20
[4,5,1,3,6,2]=>26
[4,5,1,6,2,3]=>19
[4,5,1,6,3,2]=>38
[4,5,2,1,3,6]=>20
[4,5,2,1,6,3]=>32
[4,5,2,3,1,6]=>30
[4,5,2,3,6,1]=>36
[4,5,2,6,1,3]=>35
[4,5,2,6,3,1]=>54
[4,5,3,1,2,6]=>30
[4,5,3,1,6,2]=>42
[4,5,3,2,1,6]=>60
[4,5,3,2,6,1]=>72
[4,5,3,6,1,2]=>45
[4,5,3,6,2,1]=>90
[4,5,6,1,2,3]=>20
[4,5,6,1,3,2]=>40
[4,5,6,2,1,3]=>40
[4,5,6,2,3,1]=>60
[4,5,6,3,1,2]=>60
[4,5,6,3,2,1]=>120
[4,6,1,2,3,5]=>14
[4,6,1,2,5,3]=>26
[4,6,1,3,2,5]=>28
[4,6,1,3,5,2]=>40
[4,6,1,5,2,3]=>35
[4,6,1,5,3,2]=>70
[4,6,2,1,3,5]=>28
[4,6,2,1,5,3]=>52
[4,6,2,3,1,5]=>42
[4,6,2,3,5,1]=>54
[4,6,2,5,1,3]=>61
[4,6,2,5,3,1]=>96
[4,6,3,1,2,5]=>42
[4,6,3,1,5,2]=>66
[4,6,3,2,1,5]=>84
[4,6,3,2,5,1]=>108
[4,6,3,5,1,2]=>75
[4,6,3,5,2,1]=>150
[4,6,5,1,2,3]=>40
[4,6,5,1,3,2]=>80
[4,6,5,2,1,3]=>80
[4,6,5,2,3,1]=>120
[4,6,5,3,1,2]=>120
[4,6,5,3,2,1]=>240
[5,1,2,3,4,6]=>5
[5,1,2,3,6,4]=>9
[5,1,2,4,3,6]=>10
[5,1,2,4,6,3]=>14
[5,1,2,6,3,4]=>12
[5,1,2,6,4,3]=>24
[5,1,3,2,4,6]=>10
[5,1,3,2,6,4]=>18
[5,1,3,4,2,6]=>15
[5,1,3,4,6,2]=>19
[5,1,3,6,2,4]=>21
[5,1,3,6,4,2]=>33
[5,1,4,2,3,6]=>15
[5,1,4,2,6,3]=>23
[5,1,4,3,2,6]=>30
[5,1,4,3,6,2]=>38
[5,1,4,6,2,3]=>26
[5,1,4,6,3,2]=>52
[5,1,6,2,3,4]=>14
[5,1,6,2,4,3]=>28
[5,1,6,3,2,4]=>28
[5,1,6,3,4,2]=>42
[5,1,6,4,2,3]=>42
[5,1,6,4,3,2]=>84
[5,2,1,3,4,6]=>10
[5,2,1,3,6,4]=>18
[5,2,1,4,3,6]=>20
[5,2,1,4,6,3]=>28
[5,2,1,6,3,4]=>24
[5,2,1,6,4,3]=>48
[5,2,3,1,4,6]=>15
[5,2,3,1,6,4]=>27
[5,2,3,4,1,6]=>20
[5,2,3,4,6,1]=>24
[5,2,3,6,1,4]=>30
[5,2,3,6,4,1]=>42
[5,2,4,1,3,6]=>25
[5,2,4,1,6,3]=>37
[5,2,4,3,1,6]=>40
[5,2,4,3,6,1]=>48
[5,2,4,6,1,3]=>40
[5,2,4,6,3,1]=>66
[5,2,6,1,3,4]=>26
[5,2,6,1,4,3]=>52
[5,2,6,3,1,4]=>40
[5,2,6,3,4,1]=>54
[5,2,6,4,1,3]=>66
[5,2,6,4,3,1]=>108
[5,3,1,2,4,6]=>15
[5,3,1,2,6,4]=>27
[5,3,1,4,2,6]=>25
[5,3,1,4,6,2]=>33
[5,3,1,6,2,4]=>33
[5,3,1,6,4,2]=>57
[5,3,2,1,4,6]=>30
[5,3,2,1,6,4]=>54
[5,3,2,4,1,6]=>40
[5,3,2,4,6,1]=>48
[5,3,2,6,1,4]=>60
[5,3,2,6,4,1]=>84
[5,3,4,1,2,6]=>30
[5,3,4,1,6,2]=>42
[5,3,4,2,1,6]=>60
[5,3,4,2,6,1]=>72
[5,3,4,6,1,2]=>45
[5,3,4,6,2,1]=>90
[5,3,6,1,2,4]=>35
[5,3,6,1,4,2]=>61
[5,3,6,2,1,4]=>70
[5,3,6,2,4,1]=>96
[5,3,6,4,1,2]=>75
[5,3,6,4,2,1]=>150
[5,4,1,2,3,6]=>20
[5,4,1,2,6,3]=>32
[5,4,1,3,2,6]=>40
[5,4,1,3,6,2]=>52
[5,4,1,6,2,3]=>38
[5,4,1,6,3,2]=>76
[5,4,2,1,3,6]=>40
[5,4,2,1,6,3]=>64
[5,4,2,3,1,6]=>60
[5,4,2,3,6,1]=>72
[5,4,2,6,1,3]=>70
[5,4,2,6,3,1]=>108
[5,4,3,1,2,6]=>60
[5,4,3,1,6,2]=>84
[5,4,3,2,1,6]=>120
[5,4,3,2,6,1]=>144
[5,4,3,6,1,2]=>90
[5,4,3,6,2,1]=>180
[5,4,6,1,2,3]=>40
[5,4,6,1,3,2]=>80
[5,4,6,2,1,3]=>80
[5,4,6,2,3,1]=>120
[5,4,6,3,1,2]=>120
[5,4,6,3,2,1]=>240
[5,6,1,2,3,4]=>15
[5,6,1,2,4,3]=>30
[5,6,1,3,2,4]=>30
[5,6,1,3,4,2]=>45
[5,6,1,4,2,3]=>45
[5,6,1,4,3,2]=>90
[5,6,2,1,3,4]=>30
[5,6,2,1,4,3]=>60
[5,6,2,3,1,4]=>45
[5,6,2,3,4,1]=>60
[5,6,2,4,1,3]=>75
[5,6,2,4,3,1]=>120
[5,6,3,1,2,4]=>45
[5,6,3,1,4,2]=>75
[5,6,3,2,1,4]=>90
[5,6,3,2,4,1]=>120
[5,6,3,4,1,2]=>90
[5,6,3,4,2,1]=>180
[5,6,4,1,2,3]=>60
[5,6,4,1,3,2]=>120
[5,6,4,2,1,3]=>120
[5,6,4,2,3,1]=>180
[5,6,4,3,1,2]=>180
[5,6,4,3,2,1]=>360
[6,1,2,3,4,5]=>6
[6,1,2,3,5,4]=>12
[6,1,2,4,3,5]=>12
[6,1,2,4,5,3]=>18
[6,1,2,5,3,4]=>18
[6,1,2,5,4,3]=>36
[6,1,3,2,4,5]=>12
[6,1,3,2,5,4]=>24
[6,1,3,4,2,5]=>18
[6,1,3,4,5,2]=>24
[6,1,3,5,2,4]=>30
[6,1,3,5,4,2]=>48
[6,1,4,2,3,5]=>18
[6,1,4,2,5,3]=>30
[6,1,4,3,2,5]=>36
[6,1,4,3,5,2]=>48
[6,1,4,5,2,3]=>36
[6,1,4,5,3,2]=>72
[6,1,5,2,3,4]=>24
[6,1,5,2,4,3]=>48
[6,1,5,3,2,4]=>48
[6,1,5,3,4,2]=>72
[6,1,5,4,2,3]=>72
[6,1,5,4,3,2]=>144
[6,2,1,3,4,5]=>12
[6,2,1,3,5,4]=>24
[6,2,1,4,3,5]=>24
[6,2,1,4,5,3]=>36
[6,2,1,5,3,4]=>36
[6,2,1,5,4,3]=>72
[6,2,3,1,4,5]=>18
[6,2,3,1,5,4]=>36
[6,2,3,4,1,5]=>24
[6,2,3,4,5,1]=>30
[6,2,3,5,1,4]=>42
[6,2,3,5,4,1]=>60
[6,2,4,1,3,5]=>30
[6,2,4,1,5,3]=>48
[6,2,4,3,1,5]=>48
[6,2,4,3,5,1]=>60
[6,2,4,5,1,3]=>54
[6,2,4,5,3,1]=>90
[6,2,5,1,3,4]=>42
[6,2,5,1,4,3]=>84
[6,2,5,3,1,4]=>66
[6,2,5,3,4,1]=>90
[6,2,5,4,1,3]=>108
[6,2,5,4,3,1]=>180
[6,3,1,2,4,5]=>18
[6,3,1,2,5,4]=>36
[6,3,1,4,2,5]=>30
[6,3,1,4,5,2]=>42
[6,3,1,5,2,4]=>48
[6,3,1,5,4,2]=>84
[6,3,2,1,4,5]=>36
[6,3,2,1,5,4]=>72
[6,3,2,4,1,5]=>48
[6,3,2,4,5,1]=>60
[6,3,2,5,1,4]=>84
[6,3,2,5,4,1]=>120
[6,3,4,1,2,5]=>36
[6,3,4,1,5,2]=>54
[6,3,4,2,1,5]=>72
[6,3,4,2,5,1]=>90
[6,3,4,5,1,2]=>60
[6,3,4,5,2,1]=>120
[6,3,5,1,2,4]=>54
[6,3,5,1,4,2]=>96
[6,3,5,2,1,4]=>108
[6,3,5,2,4,1]=>150
[6,3,5,4,1,2]=>120
[6,3,5,4,2,1]=>240
[6,4,1,2,3,5]=>24
[6,4,1,2,5,3]=>42
[6,4,1,3,2,5]=>48
[6,4,1,3,5,2]=>66
[6,4,1,5,2,3]=>54
[6,4,1,5,3,2]=>108
[6,4,2,1,3,5]=>48
[6,4,2,1,5,3]=>84
[6,4,2,3,1,5]=>72
[6,4,2,3,5,1]=>90
[6,4,2,5,1,3]=>96
[6,4,2,5,3,1]=>150
[6,4,3,1,2,5]=>72
[6,4,3,1,5,2]=>108
[6,4,3,2,1,5]=>144
[6,4,3,2,5,1]=>180
[6,4,3,5,1,2]=>120
[6,4,3,5,2,1]=>240
[6,4,5,1,2,3]=>60
[6,4,5,1,3,2]=>120
[6,4,5,2,1,3]=>120
[6,4,5,2,3,1]=>180
[6,4,5,3,1,2]=>180
[6,4,5,3,2,1]=>360
[6,5,1,2,3,4]=>30
[6,5,1,2,4,3]=>60
[6,5,1,3,2,4]=>60
[6,5,1,3,4,2]=>90
[6,5,1,4,2,3]=>90
[6,5,1,4,3,2]=>180
[6,5,2,1,3,4]=>60
[6,5,2,1,4,3]=>120
[6,5,2,3,1,4]=>90
[6,5,2,3,4,1]=>120
[6,5,2,4,1,3]=>150
[6,5,2,4,3,1]=>240
[6,5,3,1,2,4]=>90
[6,5,3,1,4,2]=>150
[6,5,3,2,1,4]=>180
[6,5,3,2,4,1]=>240
[6,5,3,4,1,2]=>180
[6,5,3,4,2,1]=>360
[6,5,4,1,2,3]=>120
[6,5,4,1,3,2]=>240
[6,5,4,2,1,3]=>240
[6,5,4,2,3,1]=>360
[6,5,4,3,1,2]=>360
[6,5,4,3,2,1]=>720
[1,2,3,4,5,6,7]=>1
[1,2,3,4,5,7,6]=>2
[1,2,3,4,6,5,7]=>2
[1,2,3,6,4,7,5]=>5
[1,2,6,3,4,7,5]=>7
[1,3,2,4,5,6,7]=>2
[1,3,7,2,4,5,6]=>9
[1,3,7,6,5,4,2]=>144
[1,4,6,7,2,3,5]=>19
[1,4,6,7,5,3,2]=>90
[1,4,7,2,3,5,6]=>12
[1,4,7,6,5,3,2]=>180
[1,5,2,3,4,7,6]=>8
[1,5,2,7,3,4,6]=>13
[1,5,4,7,6,3,2]=>120
[1,5,6,2,7,3,4]=>19
[1,5,6,4,7,3,2]=>90
[1,5,6,7,2,3,4]=>20
[1,5,6,7,4,3,2]=>120
[1,5,7,2,3,4,6]=>14
[1,5,7,6,4,3,2]=>240
[1,6,2,3,4,7,5]=>9
[1,6,2,3,7,4,5]=>12
[1,6,2,7,3,4,5]=>14
[1,6,5,4,3,7,2]=>144
[1,6,5,4,7,3,2]=>180
[1,6,5,7,4,3,2]=>240
[1,6,7,2,3,4,5]=>15
[1,6,7,5,4,3,2]=>360
[1,7,2,3,4,5,6]=>6
[1,7,3,5,6,4,2]=>90
[1,7,3,6,5,4,2]=>180
[1,7,4,3,6,5,2]=>120
[1,7,4,5,3,6,2]=>90
[1,7,4,5,6,3,2]=>120
[1,7,4,6,5,3,2]=>240
[1,7,5,4,3,6,2]=>180
[1,7,5,4,6,3,2]=>240
[1,7,6,4,5,3,2]=>360
[1,7,6,5,4,3,2]=>720
[2,1,3,4,5,6,7]=>2
[2,1,3,4,7,5,6]=>6
[2,1,3,7,4,5,6]=>8
[2,1,6,3,4,5,7]=>8
[2,1,7,3,4,5,6]=>10
[2,1,7,6,5,4,3]=>240
[2,3,1,4,5,6,7]=>3
[2,3,4,1,5,6,7]=>4
[2,3,4,1,5,7,6]=>8
[2,3,4,5,1,6,7]=>5
[2,3,4,5,1,7,6]=>10
[2,3,4,5,6,1,7]=>6
[2,3,4,5,6,7,1]=>7
[2,3,4,5,7,1,6]=>11
[2,3,4,6,1,7,5]=>14
[2,3,4,6,7,1,5]=>15
[2,3,4,7,1,5,6]=>13
[2,3,5,6,7,1,4]=>18
[2,4,1,3,5,6,7]=>5
[2,5,1,3,4,6,7]=>7
[2,5,7,1,3,4,6]=>23
[2,6,1,3,4,5,7]=>9
[2,6,1,7,3,4,5]=>24
[2,6,5,4,3,1,7]=>144
[2,6,7,1,3,4,5]=>25
[2,7,1,3,4,5,6]=>11
[3,1,2,4,5,6,7]=>3
[3,1,2,4,5,7,6]=>6
[3,2,1,4,5,6,7]=>6
[3,2,4,5,6,7,1]=>14
[3,4,1,2,5,6,7]=>6
[3,4,2,5,6,7,1]=>21
[3,4,5,2,6,7,1]=>28
[3,4,5,6,2,7,1]=>35
[3,4,5,6,7,1,2]=>21
[3,5,6,1,2,4,7]=>19
[3,5,6,4,2,1,7]=>90
[3,6,1,2,4,5,7]=>12
[3,6,5,4,2,1,7]=>180
[4,1,2,3,5,6,7]=>4
[4,1,2,3,5,7,6]=>8
[4,1,6,2,3,5,7]=>13
[4,2,3,5,6,7,1]=>21
[4,2,5,1,3,6,7]=>16
[4,3,2,1,5,6,7]=>24
[4,3,2,5,6,7,1]=>42
[4,3,5,2,6,7,1]=>56
[4,3,6,5,2,1,7]=>120
[4,5,1,6,2,3,7]=>19
[4,5,2,3,6,7,1]=>42
[4,5,3,6,2,1,7]=>90
[4,5,6,1,2,3,7]=>20
[4,5,6,3,2,1,7]=>120
[4,6,1,2,3,5,7]=>14
[4,6,1,2,3,7,5]=>24
[4,6,5,3,2,1,7]=>240
[5,1,2,3,4,6,7]=>5
[5,1,2,3,4,7,6]=>10
[5,1,2,3,6,4,7]=>9
[5,1,2,3,6,7,4]=>13
[5,1,2,3,7,4,6]=>14
[5,1,2,6,3,4,7]=>12
[5,1,6,2,3,4,7]=>14
[5,1,6,2,3,7,4]=>23
[5,2,3,4,6,7,1]=>28
[5,2,6,7,1,3,4]=>52
[5,3,2,4,6,7,1]=>56
[5,3,2,6,1,4,7]=>60
[5,3,6,7,1,2,4]=>65
[5,4,3,2,1,6,7]=>120
[5,4,3,2,1,7,6]=>240
[5,4,3,2,6,1,7]=>144
[5,4,3,6,2,1,7]=>180
[5,4,6,3,2,1,7]=>240
[5,4,6,7,1,2,3]=>70
[5,6,1,2,3,4,7]=>15
[5,6,1,2,3,7,4]=>25
[5,6,3,4,1,2,7]=>90
[5,6,4,3,2,1,7]=>360
[5,6,7,1,2,3,4]=>35
[6,1,2,3,4,5,7]=>6
[6,1,2,3,4,7,5]=>11
[6,1,2,3,7,4,5]=>15
[6,1,2,7,3,4,5]=>18
[6,2,3,4,5,7,1]=>35
[6,2,4,5,3,1,7]=>90
[6,2,5,4,3,1,7]=>180
[6,3,2,5,4,1,7]=>120
[6,3,4,2,5,1,7]=>90
[6,3,4,5,2,1,7]=>120
[6,3,4,7,1,2,5]=>81
[6,3,5,4,2,1,7]=>240
[6,4,3,2,5,1,7]=>180
[6,4,3,2,7,1,5]=>288
[6,4,3,5,2,1,7]=>240
[6,4,5,7,1,2,3]=>105
[6,4,7,2,5,1,3]=>272
[6,4,7,3,5,1,2]=>336
[6,5,3,4,2,1,7]=>360
[6,5,4,3,2,1,7]=>720
[6,5,7,3,4,1,2]=>420
[6,7,1,2,3,4,5]=>21
[6,7,3,4,1,2,5]=>126
[6,7,4,5,1,2,3]=>210
[7,1,2,3,4,5,6]=>7
[7,2,1,3,4,5,6]=>14
[7,2,3,1,4,5,6]=>21
[7,2,3,4,1,5,6]=>28
[7,2,3,4,5,1,6]=>35
[7,3,1,2,4,5,6]=>21
[7,3,2,1,4,5,6]=>42
[7,3,2,4,1,5,6]=>56
[7,3,4,1,2,5,6]=>42
[7,4,1,2,3,5,6]=>28
[7,4,2,1,3,5,6]=>56
[7,4,5,6,1,2,3]=>140
[7,5,1,2,3,4,6]=>35
[7,5,6,1,2,3,4]=>105
[7,5,6,3,4,1,2]=>630
[7,6,1,2,3,4,5]=>42
[7,6,4,5,1,2,3]=>420
[7,6,5,1,2,3,4]=>210
[7,6,5,3,4,1,2]=>1260
[7,6,5,4,1,2,3]=>840
[7,6,5,4,3,1,2]=>2520
[7,6,5,4,3,2,1]=>5040
[8,7,6,5,4,3,2,1]=>40320
[7,6,8,5,4,3,2,1]=>13440
[7,8,5,6,4,3,2,1]=>10080
[7,8,6,4,5,3,2,1]=>10080
[8,6,7,4,5,3,2,1]=>10080
[7,6,5,4,8,3,2,1]=>8064
[6,5,7,4,8,3,2,1]=>2688
[7,8,6,5,3,4,2,1]=>10080
[8,6,7,5,3,4,2,1]=>10080
[8,7,5,6,3,4,2,1]=>10080
[6,7,8,3,4,5,2,1]=>1120
[7,8,6,5,4,2,3,1]=>10080
[8,6,7,5,4,2,3,1]=>10080
[8,7,5,6,4,2,3,1]=>10080
[8,7,6,4,5,2,3,1]=>10080
[8,6,5,7,3,2,4,1]=>4480
[6,7,8,5,2,3,4,1]=>1120
[8,5,6,7,2,3,4,1]=>1120
[7,8,3,2,4,5,6,1]=>336
[7,6,5,4,3,2,8,1]=>5760
[6,5,7,4,3,2,8,1]=>1920
[6,5,4,3,7,2,8,1]=>1152
[5,4,6,3,7,2,8,1]=>384
[3,4,5,2,6,7,8,1]=>32
[5,2,3,4,6,7,8,1]=>32
[4,3,2,5,6,7,8,1]=>48
[3,4,2,5,6,7,8,1]=>24
[4,2,3,5,6,7,8,1]=>24
[3,2,4,5,6,7,8,1]=>16
[2,3,4,5,6,7,8,1]=>8
[8,7,6,5,4,3,1,2]=>20160
[7,8,6,5,4,3,1,2]=>10080
[8,6,7,5,4,3,1,2]=>10080
[8,7,5,6,4,3,1,2]=>10080
[8,7,6,4,5,3,1,2]=>10080
[8,7,6,5,3,4,1,2]=>10080
[8,7,5,6,3,4,1,2]=>5040
[7,8,5,6,3,4,1,2]=>2520
[5,6,7,8,3,4,1,2]=>420
[7,8,3,4,5,6,1,2]=>420
[3,4,5,6,7,8,1,2]=>28
[8,7,6,5,4,2,1,3]=>13440
[7,6,8,5,4,2,1,3]=>4480
[8,7,6,5,4,1,2,3]=>6720
[6,7,8,5,4,1,2,3]=>1120
[8,5,6,7,4,1,2,3]=>1120
[8,7,6,4,5,1,2,3]=>3360
[8,6,7,4,5,1,2,3]=>1680
[8,7,4,5,6,1,2,3]=>1120
[7,8,4,5,6,1,2,3]=>560
[6,7,4,5,8,1,2,3]=>336
[7,6,5,8,3,2,1,4]=>2520
[7,5,6,8,2,3,1,4]=>630
[6,7,5,8,3,1,2,4]=>630
[6,5,7,8,2,1,3,4]=>280
[8,7,6,5,1,2,3,4]=>1680
[8,7,5,6,1,2,3,4]=>840
[7,8,5,6,1,2,3,4]=>420
[8,5,6,7,1,2,3,4]=>280
[5,6,7,8,1,2,3,4]=>70
[8,7,6,4,3,2,1,5]=>8064
[8,7,6,4,2,1,3,5]=>2688
[8,7,6,1,2,3,4,5]=>336
[8,6,7,1,2,3,4,5]=>168
[6,7,8,1,2,3,4,5]=>56
[7,8,5,4,2,1,3,6]=>1120
[7,8,5,4,1,2,3,6]=>560
[8,7,1,2,3,4,5,6]=>56
[7,8,1,2,3,4,5,6]=>28
[8,6,5,4,3,2,1,7]=>5760
[8,6,5,4,3,1,2,7]=>2880
[8,5,6,3,4,1,2,7]=>720
[8,6,5,4,2,1,3,7]=>1920
[8,6,4,3,2,1,5,7]=>1152
[8,6,4,2,1,3,5,7]=>384
[8,2,3,4,1,5,6,7]=>32
[8,4,1,2,3,5,6,7]=>32
[8,3,2,1,4,5,6,7]=>48
[8,2,3,1,4,5,6,7]=>24
[8,3,1,2,4,5,6,7]=>24
[8,2,1,3,4,5,6,7]=>16
[8,1,2,3,4,5,6,7]=>8
[7,6,5,4,3,2,1,8]=>5040
[6,7,5,4,3,2,1,8]=>2520
[6,5,7,4,3,2,1,8]=>1680
[5,6,7,4,3,2,1,8]=>840
[7,6,4,5,3,2,1,8]=>2520
[6,5,4,7,3,2,1,8]=>1260
[7,5,6,3,4,2,1,8]=>1260
[7,6,4,3,5,2,1,8]=>1680
[7,6,3,4,5,2,1,8]=>840
[7,5,4,3,6,2,1,8]=>1260
[6,7,5,4,2,3,1,8]=>1260
[6,5,7,3,2,4,1,8]=>560
[5,6,7,2,3,4,1,8]=>140
[2,3,4,5,6,7,1,8]=>7
[5,6,7,1,2,3,4,8]=>35
[6,7,1,2,3,4,5,8]=>21
[7,1,2,3,4,5,6,8]=>7
[6,5,4,3,2,1,7,8]=>720
[2,3,4,5,6,1,7,8]=>6
[5,6,3,4,1,2,7,8]=>90
[4,5,6,1,2,3,7,8]=>20
[6,1,2,3,4,5,7,8]=>6
[5,4,3,2,1,6,7,8]=>120
[2,3,4,5,1,6,7,8]=>5
[5,1,2,3,4,6,7,8]=>5
[4,3,2,1,5,6,7,8]=>24
[3,4,1,2,5,6,7,8]=>6
[3,2,1,4,5,6,7,8]=>6
[2,1,3,4,5,6,7,8]=>2
[1,2,3,4,5,6,7,8]=>1
[6,5,8,7,4,3,2,1]=>6720
[3,5,8,7,6,4,2,1]=>1680
[4,3,6,5,8,7,2,1]=>448
[2,6,8,7,5,4,3,1]=>1920
[2,3,5,6,8,7,4,1]=>80
[3,2,6,5,4,8,7,1]=>192
[4,3,6,5,7,2,8,1]=>192
[3,2,6,5,7,4,8,1]=>128
[4,3,5,2,7,6,8,1]=>128
[3,2,5,4,7,6,8,1]=>64
[1,8,7,6,5,4,3,2]=>5040
[1,7,8,6,5,4,3,2]=>2520
[1,6,8,7,5,4,3,2]=>1680
[1,7,6,8,5,4,3,2]=>1680
[1,6,7,8,5,4,3,2]=>840
[1,5,8,7,6,4,3,2]=>1260
[1,7,6,5,8,4,3,2]=>1260
[1,3,5,7,8,6,4,2]=>105
[1,4,3,8,7,6,5,2]=>336
[1,6,5,4,3,8,7,2]=>336
[1,4,3,6,5,8,7,2]=>56
[2,1,8,7,6,5,4,3]=>1440
[2,1,6,5,7,4,8,3]=>96
[2,1,5,4,7,6,8,3]=>48
[1,2,6,7,8,5,4,3]=>120
[3,2,1,8,7,6,5,4]=>720
[3,2,1,6,5,8,7,4]=>120
[1,2,3,5,6,7,8,4]=>5
[4,3,2,1,8,7,6,5]=>576
[3,4,2,1,7,8,6,5]=>144
[2,4,3,1,6,8,7,5]=>64
[2,4,3,1,7,6,8,5]=>64
[3,2,4,1,6,8,7,5]=>64
[3,2,4,1,7,6,8,5]=>64
[2,3,4,1,6,7,8,5]=>16
[2,1,4,3,8,7,6,5]=>96
[2,1,4,3,6,8,7,5]=>32
[2,1,4,3,7,6,8,5]=>32
[5,4,3,2,1,8,7,6]=>720
[3,2,5,4,1,8,7,6]=>120
[3,2,1,4,5,8,7,6]=>36
[2,3,1,4,5,7,8,6]=>9
[6,5,4,3,2,1,8,7]=>1440
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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.
This is the same as the number of permutations less than or equal to the given permutation in right weak order.
Code
def statistic(pi):
return sum(1 for y in Permutations(pi.size()) if y.permutohedron_lequal(pi))
Created
Jun 15, 2013 at 13:28 by Chris Berg
Updated
Mar 31, 2019 at 21:46 by Martin Rubey
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