Identifier
- St000520: Permutations ⟶ ℤ
Values
=>
[1,2]=>3
[2,1]=>3
[1,2,3]=>4
[1,3,2]=>5
[2,1,3]=>5
[2,3,1]=>5
[3,1,2]=>5
[3,2,1]=>4
[1,2,3,4]=>5
[1,2,4,3]=>7
[1,3,2,4]=>8
[1,3,4,2]=>8
[1,4,2,3]=>8
[1,4,3,2]=>7
[2,1,3,4]=>7
[2,1,4,3]=>7
[2,3,1,4]=>8
[2,3,4,1]=>7
[2,4,1,3]=>9
[2,4,3,1]=>8
[3,1,2,4]=>8
[3,1,4,2]=>9
[3,2,1,4]=>7
[3,2,4,1]=>8
[3,4,1,2]=>7
[3,4,2,1]=>7
[4,1,2,3]=>7
[4,1,3,2]=>8
[4,2,1,3]=>8
[4,2,3,1]=>8
[4,3,1,2]=>7
[4,3,2,1]=>5
[1,2,3,4,5]=>6
[1,2,3,5,4]=>9
[1,2,4,3,5]=>11
[1,2,4,5,3]=>11
[1,2,5,3,4]=>11
[1,2,5,4,3]=>10
[1,3,2,4,5]=>11
[1,3,2,5,4]=>11
[1,3,4,2,5]=>13
[1,3,4,5,2]=>11
[1,3,5,2,4]=>15
[1,3,5,4,2]=>13
[1,4,2,3,5]=>13
[1,4,2,5,3]=>15
[1,4,3,2,5]=>12
[1,4,3,5,2]=>14
[1,4,5,2,3]=>12
[1,4,5,3,2]=>12
[1,5,2,3,4]=>11
[1,5,2,4,3]=>13
[1,5,3,2,4]=>14
[1,5,3,4,2]=>14
[1,5,4,2,3]=>12
[1,5,4,3,2]=>9
[2,1,3,4,5]=>9
[2,1,3,5,4]=>11
[2,1,4,3,5]=>11
[2,1,4,5,3]=>12
[2,1,5,3,4]=>12
[2,1,5,4,3]=>10
[2,3,1,4,5]=>11
[2,3,1,5,4]=>12
[2,3,4,1,5]=>11
[2,3,4,5,1]=>9
[2,3,5,1,4]=>14
[2,3,5,4,1]=>12
[2,4,1,3,5]=>15
[2,4,1,5,3]=>15
[2,4,3,1,5]=>14
[2,4,3,5,1]=>14
[2,4,5,1,3]=>14
[2,4,5,3,1]=>13
[2,5,1,3,4]=>14
[2,5,1,4,3]=>14
[2,5,3,1,4]=>16
[2,5,3,4,1]=>14
[2,5,4,1,3]=>14
[2,5,4,3,1]=>11
[3,1,2,4,5]=>11
[3,1,2,5,4]=>12
[3,1,4,2,5]=>15
[3,1,4,5,2]=>14
[3,1,5,2,4]=>15
[3,1,5,4,2]=>14
[3,2,1,4,5]=>10
[3,2,1,5,4]=>10
[3,2,4,1,5]=>13
[3,2,4,5,1]=>12
[3,2,5,1,4]=>14
[3,2,5,4,1]=>12
[3,4,1,2,5]=>12
[3,4,1,5,2]=>14
[3,4,2,1,5]=>12
[3,4,2,5,1]=>13
[3,4,5,1,2]=>10
[3,4,5,2,1]=>10
[3,5,1,2,4]=>14
[3,5,1,4,2]=>15
[3,5,2,1,4]=>14
[3,5,2,4,1]=>15
[3,5,4,1,2]=>12
[3,5,4,2,1]=>11
[4,1,2,3,5]=>11
[4,1,2,5,3]=>14
[4,1,3,2,5]=>14
[4,1,3,5,2]=>16
[4,1,5,2,3]=>14
[4,1,5,3,2]=>14
[4,2,1,3,5]=>13
[4,2,1,5,3]=>14
[4,2,3,1,5]=>14
[4,2,3,5,1]=>14
[4,2,5,1,3]=>15
[4,2,5,3,1]=>15
[4,3,1,2,5]=>12
[4,3,1,5,2]=>14
[4,3,2,1,5]=>9
[4,3,2,5,1]=>11
[4,3,5,1,2]=>12
[4,3,5,2,1]=>11
[4,5,1,2,3]=>10
[4,5,1,3,2]=>12
[4,5,2,1,3]=>12
[4,5,2,3,1]=>11
[4,5,3,1,2]=>11
[4,5,3,2,1]=>9
[5,1,2,3,4]=>9
[5,1,2,4,3]=>12
[5,1,3,2,4]=>14
[5,1,3,4,2]=>14
[5,1,4,2,3]=>13
[5,1,4,3,2]=>11
[5,2,1,3,4]=>12
[5,2,1,4,3]=>12
[5,2,3,1,4]=>14
[5,2,3,4,1]=>12
[5,2,4,1,3]=>15
[5,2,4,3,1]=>13
[5,3,1,2,4]=>13
[5,3,1,4,2]=>15
[5,3,2,1,4]=>11
[5,3,2,4,1]=>13
[5,3,4,1,2]=>11
[5,3,4,2,1]=>11
[5,4,1,2,3]=>10
[5,4,1,3,2]=>11
[5,4,2,1,3]=>11
[5,4,2,3,1]=>11
[5,4,3,1,2]=>9
[5,4,3,2,1]=>6
[1,2,3,4,5,6]=>7
[1,2,3,4,6,5]=>11
[1,2,3,5,4,6]=>14
[1,2,3,5,6,4]=>14
[1,2,3,6,4,5]=>14
[1,2,3,6,5,4]=>13
[1,2,4,3,5,6]=>15
[1,2,4,3,6,5]=>15
[1,2,4,5,3,6]=>18
[1,2,4,5,6,3]=>15
[1,2,4,6,3,5]=>21
[1,2,4,6,5,3]=>18
[1,2,5,3,4,6]=>18
[1,2,5,3,6,4]=>21
[1,2,5,4,3,6]=>17
[1,2,5,4,6,3]=>20
[1,2,5,6,3,4]=>17
[1,2,5,6,4,3]=>17
[1,2,6,3,4,5]=>15
[1,2,6,3,5,4]=>18
[1,2,6,4,3,5]=>20
[1,2,6,4,5,3]=>20
[1,2,6,5,3,4]=>17
[1,2,6,5,4,3]=>13
[1,3,2,4,5,6]=>14
[1,3,2,4,6,5]=>17
[1,3,2,5,4,6]=>17
[1,3,2,5,6,4]=>19
[1,3,2,6,4,5]=>19
[1,3,2,6,5,4]=>16
[1,3,4,2,5,6]=>18
[1,3,4,2,6,5]=>19
[1,3,4,5,2,6]=>18
[1,3,4,5,6,2]=>14
[1,3,4,6,2,5]=>23
[1,3,4,6,5,2]=>19
[1,3,5,2,4,6]=>25
[1,3,5,2,6,4]=>25
[1,3,5,4,2,6]=>23
[1,3,5,4,6,2]=>23
[1,3,5,6,2,4]=>23
[1,3,5,6,4,2]=>21
[1,3,6,2,4,5]=>23
[1,3,6,2,5,4]=>24
[1,3,6,4,2,5]=>27
[1,3,6,4,5,2]=>23
[1,3,6,5,2,4]=>24
[1,3,6,5,4,2]=>18
[1,4,2,3,5,6]=>18
[1,4,2,3,6,5]=>19
[1,4,2,5,3,6]=>25
[1,4,2,5,6,3]=>23
[1,4,2,6,3,5]=>25
[1,4,2,6,5,3]=>24
[1,4,3,2,5,6]=>17
[1,4,3,2,6,5]=>17
[1,4,3,5,2,6]=>23
[1,4,3,5,6,2]=>21
[1,4,3,6,2,5]=>25
[1,4,3,6,5,2]=>21
[1,4,5,2,3,6]=>21
[1,4,5,2,6,3]=>24
[1,4,5,3,2,6]=>21
[1,4,5,3,6,2]=>23
[1,4,5,6,2,3]=>17
[1,4,5,6,3,2]=>17
[1,4,6,2,3,5]=>24
[1,4,6,2,5,3]=>27
[1,4,6,3,2,5]=>25
[1,4,6,3,5,2]=>27
[1,4,6,5,2,3]=>21
[1,4,6,5,3,2]=>19
[1,5,2,3,4,6]=>18
[1,5,2,3,6,4]=>23
[1,5,2,4,3,6]=>23
[1,5,2,4,6,3]=>27
[1,5,2,6,3,4]=>23
[1,5,2,6,4,3]=>24
[1,5,3,2,4,6]=>23
[1,5,3,2,6,4]=>25
[1,5,3,4,2,6]=>25
[1,5,3,4,6,2]=>25
[1,5,3,6,2,4]=>27
[1,5,3,6,4,2]=>27
[1,5,4,2,3,6]=>21
[1,5,4,2,6,3]=>25
[1,5,4,3,2,6]=>16
[1,5,4,3,6,2]=>20
[1,5,4,6,2,3]=>22
[1,5,4,6,3,2]=>20
[1,5,6,2,3,4]=>17
[1,5,6,2,4,3]=>21
[1,5,6,3,2,4]=>22
[1,5,6,3,4,2]=>20
[1,5,6,4,2,3]=>20
[1,5,6,4,3,2]=>16
[1,6,2,3,4,5]=>14
[1,6,2,3,5,4]=>19
[1,6,2,4,3,5]=>23
[1,6,2,4,5,3]=>23
[1,6,2,5,3,4]=>21
[1,6,2,5,4,3]=>18
[1,6,3,2,4,5]=>21
[1,6,3,2,5,4]=>21
[1,6,3,4,2,5]=>25
[1,6,3,4,5,2]=>21
[1,6,3,5,2,4]=>27
[1,6,3,5,4,2]=>23
[1,6,4,2,3,5]=>23
[1,6,4,2,5,3]=>27
[1,6,4,3,2,5]=>20
[1,6,4,3,5,2]=>24
[1,6,4,5,2,3]=>20
[1,6,4,5,3,2]=>20
[1,6,5,2,3,4]=>17
[1,6,5,2,4,3]=>19
[1,6,5,3,2,4]=>20
[1,6,5,3,4,2]=>20
[1,6,5,4,2,3]=>16
[1,6,5,4,3,2]=>11
[2,1,3,4,5,6]=>11
[2,1,3,4,6,5]=>15
[2,1,3,5,4,6]=>17
[2,1,3,5,6,4]=>18
[2,1,3,6,4,5]=>18
[2,1,3,6,5,4]=>16
[2,1,4,3,5,6]=>15
[2,1,4,3,6,5]=>15
[2,1,4,5,3,6]=>19
[2,1,4,5,6,3]=>17
[2,1,4,6,3,5]=>22
[2,1,4,6,5,3]=>20
[2,1,5,3,4,6]=>19
[2,1,5,3,6,4]=>22
[2,1,5,4,3,6]=>17
[2,1,5,4,6,3]=>20
[2,1,5,6,3,4]=>18
[2,1,5,6,4,3]=>18
[2,1,6,3,4,5]=>17
[2,1,6,3,5,4]=>20
[2,1,6,4,3,5]=>20
[2,1,6,4,5,3]=>21
[2,1,6,5,3,4]=>18
[2,1,6,5,4,3]=>13
[2,3,1,4,5,6]=>14
[2,3,1,4,6,5]=>18
[2,3,1,5,4,6]=>19
[2,3,1,5,6,4]=>19
[2,3,1,6,4,5]=>20
[2,3,1,6,5,4]=>17
[2,3,4,1,5,6]=>15
[2,3,4,1,6,5]=>17
[2,3,4,5,1,6]=>14
[2,3,4,5,6,1]=>11
[2,3,4,6,1,5]=>19
[2,3,4,6,5,1]=>16
[2,3,5,1,4,6]=>23
[2,3,5,1,6,4]=>23
[2,3,5,4,1,6]=>21
[2,3,5,4,6,1]=>20
[2,3,5,6,1,4]=>21
[2,3,5,6,4,1]=>19
[2,3,6,1,4,5]=>22
[2,3,6,1,5,4]=>22
[2,3,6,4,1,5]=>24
[2,3,6,4,5,1]=>20
[2,3,6,5,1,4]=>22
[2,3,6,5,4,1]=>17
[2,4,1,3,5,6]=>21
[2,4,1,3,6,5]=>22
[2,4,1,5,3,6]=>25
[2,4,1,5,6,3]=>23
[2,4,1,6,3,5]=>26
[2,4,1,6,5,3]=>24
[2,4,3,1,5,6]=>20
[2,4,3,1,6,5]=>20
[2,4,3,5,1,6]=>23
[2,4,3,5,6,1]=>20
[2,4,3,6,1,5]=>25
[2,4,3,6,5,1]=>20
[2,4,5,1,3,6]=>24
[2,4,5,1,6,3]=>23
[2,4,5,3,1,6]=>23
[2,4,5,3,6,1]=>23
[2,4,5,6,1,3]=>19
[2,4,5,6,3,1]=>18
[2,4,6,1,3,5]=>27
[2,4,6,1,5,3]=>28
[2,4,6,3,1,5]=>28
[2,4,6,3,5,1]=>27
[2,4,6,5,1,3]=>24
[2,4,6,5,3,1]=>21
[2,5,1,3,4,6]=>23
[2,5,1,3,6,4]=>27
[2,5,1,4,3,6]=>25
[2,5,1,4,6,3]=>28
[2,5,1,6,3,4]=>24
[2,5,1,6,4,3]=>24
[2,5,3,1,4,6]=>27
[2,5,3,1,6,4]=>28
[2,5,3,4,1,6]=>25
[2,5,3,4,6,1]=>24
[2,5,3,6,1,4]=>29
[2,5,3,6,4,1]=>27
[2,5,4,1,3,6]=>25
[2,5,4,1,6,3]=>27
[2,5,4,3,1,6]=>20
[2,5,4,3,6,1]=>21
[2,5,4,6,1,3]=>25
[2,5,4,6,3,1]=>23
[2,5,6,1,3,4]=>21
[2,5,6,1,4,3]=>23
[2,5,6,3,1,4]=>25
[2,5,6,3,4,1]=>21
[2,5,6,4,1,3]=>24
[2,5,6,4,3,1]=>19
[2,6,1,3,4,5]=>19
[2,6,1,3,5,4]=>24
[2,6,1,4,3,5]=>25
[2,6,1,4,5,3]=>25
[2,6,1,5,3,4]=>24
[2,6,1,5,4,3]=>19
[2,6,3,1,4,5]=>24
[2,6,3,1,5,4]=>25
[2,6,3,4,1,5]=>25
[2,6,3,4,5,1]=>20
[2,6,3,5,1,4]=>28
[2,6,3,5,4,1]=>23
[2,6,4,1,3,5]=>28
[2,6,4,1,5,3]=>29
[2,6,4,3,1,5]=>25
[2,6,4,3,5,1]=>25
[2,6,4,5,1,3]=>25
[2,6,4,5,3,1]=>23
[2,6,5,1,3,4]=>22
[2,6,5,1,4,3]=>21
[2,6,5,3,1,4]=>24
[2,6,5,3,4,1]=>21
[2,6,5,4,1,3]=>19
[2,6,5,4,3,1]=>14
[3,1,2,4,5,6]=>14
[3,1,2,4,6,5]=>18
[3,1,2,5,4,6]=>19
[3,1,2,5,6,4]=>20
[3,1,2,6,4,5]=>19
[3,1,2,6,5,4]=>17
[3,1,4,2,5,6]=>21
[3,1,4,2,6,5]=>22
[3,1,4,5,2,6]=>23
[3,1,4,5,6,2]=>19
[3,1,4,6,2,5]=>27
[3,1,4,6,5,2]=>24
[3,1,5,2,4,6]=>25
[3,1,5,2,6,4]=>26
[3,1,5,4,2,6]=>25
[3,1,5,4,6,2]=>25
[3,1,5,6,2,4]=>24
[3,1,5,6,4,2]=>24
[3,1,6,2,4,5]=>23
[3,1,6,2,5,4]=>24
[3,1,6,4,2,5]=>28
[3,1,6,4,5,2]=>25
[3,1,6,5,2,4]=>24
[3,1,6,5,4,2]=>19
[3,2,1,4,5,6]=>13
[3,2,1,4,6,5]=>16
[3,2,1,5,4,6]=>16
[3,2,1,5,6,4]=>17
[3,2,1,6,4,5]=>17
[3,2,1,6,5,4]=>13
[3,2,4,1,5,6]=>18
[3,2,4,1,6,5]=>20
[3,2,4,5,1,6]=>19
[3,2,4,5,6,1]=>16
[3,2,4,6,1,5]=>24
[3,2,4,6,5,1]=>20
[3,2,5,1,4,6]=>24
[3,2,5,1,6,4]=>24
[3,2,5,4,1,6]=>21
[3,2,5,4,6,1]=>20
[3,2,5,6,1,4]=>23
[3,2,5,6,4,1]=>21
[3,2,6,1,4,5]=>22
[3,2,6,1,5,4]=>20
[3,2,6,4,1,5]=>25
[3,2,6,4,5,1]=>22
[3,2,6,5,1,4]=>21
[3,2,6,5,4,1]=>17
[3,4,1,2,5,6]=>17
[3,4,1,2,6,5]=>18
[3,4,1,5,2,6]=>23
[3,4,1,5,6,2]=>21
[3,4,1,6,2,5]=>24
[3,4,1,6,5,2]=>23
[3,4,2,1,5,6]=>17
[3,4,2,1,6,5]=>18
[3,4,2,5,1,6]=>21
[3,4,2,5,6,1]=>19
[3,4,2,6,1,5]=>24
[3,4,2,6,5,1]=>21
[3,4,5,1,2,6]=>17
[3,4,5,1,6,2]=>19
[3,4,5,2,1,6]=>17
[3,4,5,2,6,1]=>18
[3,4,5,6,1,2]=>13
[3,4,5,6,2,1]=>13
[3,4,6,1,2,5]=>21
[3,4,6,1,5,2]=>24
[3,4,6,2,1,5]=>22
[3,4,6,2,5,1]=>24
[3,4,6,5,1,2]=>18
[3,4,6,5,2,1]=>17
[3,5,1,2,4,6]=>23
[3,5,1,2,6,4]=>24
[3,5,1,4,2,6]=>27
[3,5,1,4,6,2]=>29
[3,5,1,6,2,4]=>26
[3,5,1,6,4,2]=>28
[3,5,2,1,4,6]=>24
[3,5,2,1,6,4]=>24
[3,5,2,4,1,6]=>27
[3,5,2,4,6,1]=>27
[3,5,2,6,1,4]=>28
[3,5,2,6,4,1]=>27
[3,5,4,1,2,6]=>22
[3,5,4,1,6,2]=>25
[3,5,4,2,1,6]=>20
[3,5,4,2,6,1]=>23
[3,5,4,6,1,2]=>21
[3,5,4,6,2,1]=>20
[3,5,6,1,2,4]=>20
[3,5,6,1,4,2]=>24
[3,5,6,2,1,4]=>22
[3,5,6,2,4,1]=>24
[3,5,6,4,1,2]=>20
[3,5,6,4,2,1]=>18
[3,6,1,2,4,5]=>21
[3,6,1,2,5,4]=>23
[3,6,1,4,2,5]=>29
[3,6,1,4,5,2]=>27
[3,6,1,5,2,4]=>28
[3,6,1,5,4,2]=>23
[3,6,2,1,4,5]=>22
[3,6,2,1,5,4]=>21
[3,6,2,4,1,5]=>28
[3,6,2,4,5,1]=>25
[3,6,2,5,1,4]=>27
[3,6,2,5,4,1]=>24
[3,6,4,1,2,5]=>25
[3,6,4,1,5,2]=>28
[3,6,4,2,1,5]=>24
[3,6,4,2,5,1]=>27
[3,6,4,5,1,2]=>20
[3,6,4,5,2,1]=>20
[3,6,5,1,2,4]=>22
[3,6,5,1,4,2]=>23
[3,6,5,2,1,4]=>22
[3,6,5,2,4,1]=>23
[3,6,5,4,1,2]=>17
[3,6,5,4,2,1]=>15
[4,1,2,3,5,6]=>15
[4,1,2,3,6,5]=>17
[4,1,2,5,3,6]=>23
[4,1,2,5,6,3]=>22
[4,1,2,6,3,5]=>23
[4,1,2,6,5,3]=>22
[4,1,3,2,5,6]=>20
[4,1,3,2,6,5]=>20
[4,1,3,5,2,6]=>27
[4,1,3,5,6,2]=>24
[4,1,3,6,2,5]=>28
[4,1,3,6,5,2]=>25
[4,1,5,2,3,6]=>24
[4,1,5,2,6,3]=>27
[4,1,5,3,2,6]=>25
[4,1,5,3,6,2]=>28
[4,1,5,6,2,3]=>21
[4,1,5,6,3,2]=>22
[4,1,6,2,3,5]=>23
[4,1,6,2,5,3]=>28
[4,1,6,3,2,5]=>27
[4,1,6,3,5,2]=>29
[4,1,6,5,2,3]=>23
[4,1,6,5,3,2]=>21
[4,2,1,3,5,6]=>18
[4,2,1,3,6,5]=>20
[4,2,1,5,3,6]=>24
[4,2,1,5,6,3]=>22
[4,2,1,6,3,5]=>24
[4,2,1,6,5,3]=>20
[4,2,3,1,5,6]=>20
[4,2,3,1,6,5]=>21
[4,2,3,5,1,6]=>23
[4,2,3,5,6,1]=>20
[4,2,3,6,1,5]=>25
[4,2,3,6,5,1]=>22
[4,2,5,1,3,6]=>27
[4,2,5,1,6,3]=>28
[4,2,5,3,1,6]=>27
[4,2,5,3,6,1]=>27
[4,2,5,6,1,3]=>24
[4,2,5,6,3,1]=>24
[4,2,6,1,3,5]=>28
[4,2,6,1,5,3]=>26
[4,2,6,3,1,5]=>29
[4,2,6,3,5,1]=>27
[4,2,6,5,1,3]=>24
[4,2,6,5,3,1]=>23
[4,3,1,2,5,6]=>17
[4,3,1,2,6,5]=>18
[4,3,1,5,2,6]=>24
[4,3,1,5,6,2]=>22
[4,3,1,6,2,5]=>24
[4,3,1,6,5,2]=>21
[4,3,2,1,5,6]=>13
[4,3,2,1,6,5]=>13
[4,3,2,5,1,6]=>18
[4,3,2,5,6,1]=>17
[4,3,2,6,1,5]=>19
[4,3,2,6,5,1]=>17
[4,3,5,1,2,6]=>21
[4,3,5,1,6,2]=>24
[4,3,5,2,1,6]=>19
[4,3,5,2,6,1]=>21
[4,3,5,6,1,2]=>18
[4,3,5,6,2,1]=>17
[4,3,6,1,2,5]=>23
[4,3,6,1,5,2]=>24
[4,3,6,2,1,5]=>21
[4,3,6,2,5,1]=>23
[4,3,6,5,1,2]=>18
[4,3,6,5,2,1]=>17
[4,5,1,2,3,6]=>17
[4,5,1,2,6,3]=>21
[4,5,1,3,2,6]=>22
[4,5,1,3,6,2]=>25
[4,5,1,6,2,3]=>20
[4,5,1,6,3,2]=>22
[4,5,2,1,3,6]=>21
[4,5,2,1,6,3]=>23
[4,5,2,3,1,6]=>20
[4,5,2,3,6,1]=>21
[4,5,2,6,1,3]=>24
[4,5,2,6,3,1]=>24
[4,5,3,1,2,6]=>20
[4,5,3,1,6,2]=>24
[4,5,3,2,1,6]=>16
[4,5,3,2,6,1]=>19
[4,5,3,6,1,2]=>20
[4,5,3,6,2,1]=>18
[4,5,6,1,2,3]=>13
[4,5,6,1,3,2]=>17
[4,5,6,2,1,3]=>17
[4,5,6,2,3,1]=>16
[4,5,6,3,1,2]=>16
[4,5,6,3,2,1]=>13
[4,6,1,2,3,5]=>19
[4,6,1,2,5,3]=>24
[4,6,1,3,2,5]=>25
[4,6,1,3,5,2]=>28
[4,6,1,5,2,3]=>24
[4,6,1,5,3,2]=>23
[4,6,2,1,3,5]=>24
[4,6,2,1,5,3]=>24
[4,6,2,3,1,5]=>25
[4,6,2,3,5,1]=>25
[4,6,2,5,1,3]=>26
[4,6,2,5,3,1]=>25
[4,6,3,1,2,5]=>24
[4,6,3,1,5,2]=>27
[4,6,3,2,1,5]=>19
[4,6,3,2,5,1]=>23
[4,6,3,5,1,2]=>22
[4,6,3,5,2,1]=>21
[4,6,5,1,2,3]=>17
[4,6,5,1,3,2]=>19
[4,6,5,2,1,3]=>20
[4,6,5,2,3,1]=>19
[4,6,5,3,1,2]=>18
[4,6,5,3,2,1]=>14
[5,1,2,3,4,6]=>14
[5,1,2,3,6,4]=>19
[5,1,2,4,3,6]=>21
[5,1,2,4,6,3]=>24
[5,1,2,6,3,4]=>21
[5,1,2,6,4,3]=>22
[5,1,3,2,4,6]=>23
[5,1,3,2,6,4]=>25
[5,1,3,4,2,6]=>25
[5,1,3,4,6,2]=>25
[5,1,3,6,2,4]=>29
[5,1,3,6,4,2]=>28
[5,1,4,2,3,6]=>23
[5,1,4,2,6,3]=>28
[5,1,4,3,2,6]=>20
[5,1,4,3,6,2]=>25
[5,1,4,6,2,3]=>25
[5,1,4,6,3,2]=>24
[5,1,6,2,3,4]=>19
[5,1,6,2,4,3]=>24
[5,1,6,3,2,4]=>25
[5,1,6,3,4,2]=>25
[5,1,6,4,2,3]=>24
[5,1,6,4,3,2]=>19
[5,2,1,3,4,6]=>19
[5,2,1,3,6,4]=>24
[5,2,1,4,3,6]=>21
[5,2,1,4,6,3]=>25
[5,2,1,6,3,4]=>23
[5,2,1,6,4,3]=>21
[5,2,3,1,4,6]=>23
[5,2,3,1,6,4]=>25
[5,2,3,4,1,6]=>21
[5,2,3,4,6,1]=>20
[5,2,3,6,1,4]=>27
[5,2,3,6,4,1]=>25
[5,2,4,1,3,6]=>27
[5,2,4,1,6,3]=>29
[5,2,4,3,1,6]=>24
[5,2,4,3,6,1]=>25
[5,2,4,6,1,3]=>28
[5,2,4,6,3,1]=>27
[5,2,6,1,3,4]=>24
[5,2,6,1,4,3]=>24
[5,2,6,3,1,4]=>28
[5,2,6,3,4,1]=>25
[5,2,6,4,1,3]=>27
[5,2,6,4,3,1]=>23
[5,3,1,2,4,6]=>21
[5,3,1,2,6,4]=>24
[5,3,1,4,2,6]=>27
[5,3,1,4,6,2]=>28
[5,3,1,6,2,4]=>28
[5,3,1,6,4,2]=>27
[5,3,2,1,4,6]=>18
[5,3,2,1,6,4]=>19
[5,3,2,4,1,6]=>23
[5,3,2,4,6,1]=>23
[5,3,2,6,1,4]=>23
[5,3,2,6,4,1]=>24
[5,3,4,1,2,6]=>20
[5,3,4,1,6,2]=>25
[5,3,4,2,1,6]=>20
[5,3,4,2,6,1]=>23
[5,3,4,6,1,2]=>20
[5,3,4,6,2,1]=>20
[5,3,6,1,2,4]=>24
[5,3,6,1,4,2]=>26
[5,3,6,2,1,4]=>23
[5,3,6,2,4,1]=>25
[5,3,6,4,1,2]=>22
[5,3,6,4,2,1]=>21
[5,4,1,2,3,6]=>17
[5,4,1,2,6,3]=>22
[5,4,1,3,2,6]=>20
[5,4,1,3,6,2]=>24
[5,4,1,6,2,3]=>22
[5,4,1,6,3,2]=>22
[5,4,2,1,3,6]=>19
[5,4,2,1,6,3]=>21
[5,4,2,3,1,6]=>20
[5,4,2,3,6,1]=>21
[5,4,2,6,1,3]=>23
[5,4,2,6,3,1]=>23
[5,4,3,1,2,6]=>16
[5,4,3,1,6,2]=>19
[5,4,3,2,1,6]=>11
[5,4,3,2,6,1]=>14
[5,4,3,6,1,2]=>17
[5,4,3,6,2,1]=>15
[5,4,6,1,2,3]=>17
[5,4,6,1,3,2]=>20
[5,4,6,2,1,3]=>19
[5,4,6,2,3,1]=>19
[5,4,6,3,1,2]=>18
[5,4,6,3,2,1]=>14
[5,6,1,2,3,4]=>13
[5,6,1,2,4,3]=>18
[5,6,1,3,2,4]=>21
[5,6,1,3,4,2]=>20
[5,6,1,4,2,3]=>20
[5,6,1,4,3,2]=>17
[5,6,2,1,3,4]=>18
[5,6,2,1,4,3]=>18
[5,6,2,3,1,4]=>20
[5,6,2,3,4,1]=>17
[5,6,2,4,1,3]=>22
[5,6,2,4,3,1]=>19
[5,6,3,1,2,4]=>20
[5,6,3,1,4,2]=>22
[5,6,3,2,1,4]=>17
[5,6,3,2,4,1]=>19
[5,6,3,4,1,2]=>15
[5,6,3,4,2,1]=>15
[5,6,4,1,2,3]=>16
[5,6,4,1,3,2]=>18
[5,6,4,2,1,3]=>18
[5,6,4,2,3,1]=>17
[5,6,4,3,1,2]=>15
[5,6,4,3,2,1]=>11
[6,1,2,3,4,5]=>11
[6,1,2,3,5,4]=>16
[6,1,2,4,3,5]=>20
[6,1,2,4,5,3]=>20
[6,1,2,5,3,4]=>19
[6,1,2,5,4,3]=>17
[6,1,3,2,4,5]=>20
[6,1,3,2,5,4]=>20
[6,1,3,4,2,5]=>24
[6,1,3,4,5,2]=>20
[6,1,3,5,2,4]=>27
[6,1,3,5,4,2]=>23
[6,1,4,2,3,5]=>23
[6,1,4,2,5,3]=>27
[6,1,4,3,2,5]=>21
[6,1,4,3,5,2]=>25
[6,1,4,5,2,3]=>21
[6,1,4,5,3,2]=>21
[6,1,5,2,3,4]=>18
[6,1,5,2,4,3]=>21
[6,1,5,3,2,4]=>23
[6,1,5,3,4,2]=>23
[6,1,5,4,2,3]=>19
[6,1,5,4,3,2]=>14
[6,2,1,3,4,5]=>16
[6,2,1,3,5,4]=>20
[6,2,1,4,3,5]=>20
[6,2,1,4,5,3]=>22
[6,2,1,5,3,4]=>21
[6,2,1,5,4,3]=>17
[6,2,3,1,4,5]=>20
[6,2,3,1,5,4]=>22
[6,2,3,4,1,5]=>20
[6,2,3,4,5,1]=>16
[6,2,3,5,1,4]=>25
[6,2,3,5,4,1]=>21
[6,2,4,1,3,5]=>27
[6,2,4,1,5,3]=>27
[6,2,4,3,1,5]=>25
[6,2,4,3,5,1]=>25
[6,2,4,5,1,3]=>25
[6,2,4,5,3,1]=>23
[6,2,5,1,3,4]=>24
[6,2,5,1,4,3]=>23
[6,2,5,3,1,4]=>27
[6,2,5,3,4,1]=>23
[6,2,5,4,1,3]=>23
[6,2,5,4,3,1]=>18
[6,3,1,2,4,5]=>19
[6,3,1,2,5,4]=>21
[6,3,1,4,2,5]=>27
[6,3,1,4,5,2]=>25
[6,3,1,5,2,4]=>27
[6,3,1,5,4,2]=>24
[6,3,2,1,4,5]=>17
[6,3,2,1,5,4]=>17
[6,3,2,4,1,5]=>23
[6,3,2,4,5,1]=>21
[6,3,2,5,1,4]=>24
[6,3,2,5,4,1]=>21
[6,3,4,1,2,5]=>21
[6,3,4,1,5,2]=>25
[6,3,4,2,1,5]=>21
[6,3,4,2,5,1]=>23
[6,3,4,5,1,2]=>17
[6,3,4,5,2,1]=>17
[6,3,5,1,2,4]=>24
[6,3,5,1,4,2]=>25
[6,3,5,2,1,4]=>23
[6,3,5,2,4,1]=>25
[6,3,5,4,1,2]=>19
[6,3,5,4,2,1]=>18
[6,4,1,2,3,5]=>18
[6,4,1,2,5,3]=>24
[6,4,1,3,2,5]=>23
[6,4,1,3,5,2]=>27
[6,4,1,5,2,3]=>24
[6,4,1,5,3,2]=>23
[6,4,2,1,3,5]=>21
[6,4,2,1,5,3]=>23
[6,4,2,3,1,5]=>23
[6,4,2,3,5,1]=>23
[6,4,2,5,1,3]=>25
[6,4,2,5,3,1]=>25
[6,4,3,1,2,5]=>19
[6,4,3,1,5,2]=>23
[6,4,3,2,1,5]=>14
[6,4,3,2,5,1]=>18
[6,4,3,5,1,2]=>19
[6,4,3,5,2,1]=>18
[6,4,5,1,2,3]=>16
[6,4,5,1,3,2]=>19
[6,4,5,2,1,3]=>19
[6,4,5,2,3,1]=>17
[6,4,5,3,1,2]=>17
[6,4,5,3,2,1]=>14
[6,5,1,2,3,4]=>13
[6,5,1,2,4,3]=>17
[6,5,1,3,2,4]=>20
[6,5,1,3,4,2]=>20
[6,5,1,4,2,3]=>18
[6,5,1,4,3,2]=>15
[6,5,2,1,3,4]=>17
[6,5,2,1,4,3]=>17
[6,5,2,3,1,4]=>20
[6,5,2,3,4,1]=>17
[6,5,2,4,1,3]=>21
[6,5,2,4,3,1]=>18
[6,5,3,1,2,4]=>18
[6,5,3,1,4,2]=>21
[6,5,3,2,1,4]=>15
[6,5,3,2,4,1]=>18
[6,5,3,4,1,2]=>15
[6,5,3,4,2,1]=>15
[6,5,4,1,2,3]=>13
[6,5,4,1,3,2]=>14
[6,5,4,2,1,3]=>14
[6,5,4,2,3,1]=>14
[6,5,4,3,1,2]=>11
[6,5,4,3,2,1]=>7
[1,2,3,4,5,6,7]=>8
[1,2,3,4,5,7,6]=>13
[1,2,3,4,6,5,7]=>17
[1,2,3,4,6,7,5]=>17
[1,2,3,4,7,5,6]=>17
[1,2,3,4,7,6,5]=>16
[1,2,3,5,4,6,7]=>19
[1,2,3,5,4,7,6]=>19
[1,2,3,5,6,4,7]=>23
[1,2,3,5,6,7,4]=>19
[1,2,3,5,7,4,6]=>27
[1,2,3,5,7,6,4]=>23
[1,2,3,6,4,5,7]=>23
[1,2,3,6,4,7,5]=>27
[1,2,3,6,5,4,7]=>22
[1,2,3,6,5,7,4]=>26
[1,2,3,6,7,4,5]=>22
[1,2,3,6,7,5,4]=>22
[1,2,3,7,4,5,6]=>19
[1,2,3,7,4,6,5]=>23
[1,2,3,7,5,4,6]=>26
[1,2,3,7,5,6,4]=>26
[1,2,3,7,6,4,5]=>22
[1,2,3,7,6,5,4]=>17
[1,2,4,3,5,6,7]=>19
[1,2,4,3,5,7,6]=>23
[1,2,4,3,6,5,7]=>23
[1,2,4,3,6,7,5]=>26
[1,2,4,3,7,5,6]=>26
[1,2,4,3,7,6,5]=>22
[1,2,4,5,3,6,7]=>25
[1,2,4,5,3,7,6]=>26
[1,2,4,5,6,3,7]=>25
[1,2,4,5,6,7,3]=>19
[1,2,4,5,7,3,6]=>32
[1,2,4,5,7,6,3]=>26
[1,2,4,6,3,5,7]=>35
[1,2,4,6,3,7,5]=>35
[1,2,4,6,5,3,7]=>32
[1,2,4,6,5,7,3]=>32
[1,2,4,6,7,3,5]=>32
[1,2,4,6,7,5,3]=>29
[1,2,4,7,3,5,6]=>32
[1,2,4,7,3,6,5]=>34
[1,2,4,7,5,3,6]=>38
[1,2,4,7,5,6,3]=>32
[1,2,4,7,6,3,5]=>34
[1,2,4,7,6,5,3]=>25
[1,2,5,3,4,6,7]=>25
[1,2,5,3,4,7,6]=>26
[1,2,5,3,6,4,7]=>35
[1,2,5,3,6,7,4]=>32
[1,2,5,3,7,4,6]=>35
[1,2,5,3,7,6,4]=>34
[1,2,5,4,3,6,7]=>24
[1,2,5,4,3,7,6]=>24
[1,2,5,4,6,3,7]=>33
[1,2,5,4,6,7,3]=>30
[1,2,5,4,7,3,6]=>36
[1,2,5,4,7,6,3]=>30
[1,2,5,6,3,4,7]=>30
[1,2,5,6,3,7,4]=>34
[1,2,5,6,4,3,7]=>30
[1,2,5,6,4,7,3]=>33
[1,2,5,6,7,3,4]=>24
[1,2,5,6,7,4,3]=>24
[1,2,5,7,3,4,6]=>34
[1,2,5,7,3,6,4]=>39
[1,2,5,7,4,3,6]=>36
[1,2,5,7,4,6,3]=>39
[1,2,5,7,6,3,4]=>30
[1,2,5,7,6,4,3]=>27
[1,2,6,3,4,5,7]=>25
[1,2,6,3,4,7,5]=>32
[1,2,6,3,5,4,7]=>32
[1,2,6,3,5,7,4]=>38
[1,2,6,3,7,4,5]=>32
[1,2,6,3,7,5,4]=>34
[1,2,6,4,3,5,7]=>33
[1,2,6,4,3,7,5]=>36
[1,2,6,4,5,3,7]=>36
[1,2,6,4,5,7,3]=>36
[1,2,6,4,7,3,5]=>39
[1,2,6,4,7,5,3]=>39
[1,2,6,5,3,4,7]=>30
[1,2,6,5,3,7,4]=>36
[1,2,6,5,4,3,7]=>23
[1,2,6,5,4,7,3]=>29
[1,2,6,5,7,3,4]=>32
[1,2,6,5,7,4,3]=>29
[1,2,6,7,3,4,5]=>24
[1,2,6,7,3,5,4]=>30
[1,2,6,7,4,3,5]=>32
[1,2,6,7,4,5,3]=>29
[1,2,6,7,5,3,4]=>29
[1,2,6,7,5,4,3]=>23
[1,2,7,3,4,5,6]=>19
[1,2,7,3,4,6,5]=>26
[1,2,7,3,5,4,6]=>32
[1,2,7,3,5,6,4]=>32
[1,2,7,3,6,4,5]=>29
[1,2,7,3,6,5,4]=>25
[1,2,7,4,3,5,6]=>30
[1,2,7,4,3,6,5]=>30
[1,2,7,4,5,3,6]=>36
[1,2,7,4,5,6,3]=>30
[1,2,7,4,6,3,5]=>39
[1,2,7,4,6,5,3]=>33
[1,2,7,5,3,4,6]=>33
[1,2,7,5,3,6,4]=>39
[1,2,7,5,4,3,6]=>29
[1,2,7,5,4,6,3]=>35
[1,2,7,5,6,3,4]=>29
[1,2,7,5,6,4,3]=>29
[1,2,7,6,3,4,5]=>24
[1,2,7,6,3,5,4]=>27
[1,2,7,6,4,3,5]=>29
[1,2,7,6,4,5,3]=>29
[1,2,7,6,5,3,4]=>23
[1,2,7,6,5,4,3]=>16
[1,3,2,4,5,6,7]=>17
[1,3,2,4,5,7,6]=>23
[1,3,2,4,6,5,7]=>26
[1,3,2,4,6,7,5]=>28
[1,3,2,4,7,5,6]=>28
[1,3,2,4,7,6,5]=>25
[1,3,2,5,4,6,7]=>23
[1,3,2,5,4,7,6]=>23
[1,3,2,5,6,4,7]=>30
[1,3,2,5,6,7,4]=>27
[1,3,2,5,7,4,6]=>35
[1,3,2,5,7,6,4]=>32
[1,3,2,6,4,5,7]=>30
[1,3,2,6,4,7,5]=>35
[1,3,2,6,5,4,7]=>27
[1,3,2,6,5,7,4]=>32
[1,3,2,6,7,4,5]=>29
[1,3,2,6,7,5,4]=>29
[1,3,2,7,4,5,6]=>27
[1,3,2,7,4,6,5]=>32
[1,3,2,7,5,4,6]=>32
[1,3,2,7,5,6,4]=>34
[1,3,2,7,6,4,5]=>29
[1,3,2,7,6,5,4]=>21
[1,3,4,2,5,6,7]=>23
[1,3,4,2,5,7,6]=>29
[1,3,4,2,6,5,7]=>30
[1,3,4,2,6,7,5]=>30
[1,3,4,2,7,5,6]=>32
[1,3,4,2,7,6,5]=>27
[1,3,4,5,2,6,7]=>25
[1,3,4,5,2,7,6]=>27
[1,3,4,5,6,2,7]=>23
[1,3,4,5,6,7,2]=>17
[1,3,4,5,7,2,6]=>31
[1,3,4,5,7,6,2]=>25
[1,3,4,6,2,5,7]=>38
[1,3,4,6,2,7,5]=>38
[1,3,4,6,5,2,7]=>34
[1,3,4,6,5,7,2]=>32
[1,3,4,6,7,2,5]=>34
[1,3,4,6,7,5,2]=>30
[1,3,4,7,2,5,6]=>36
[1,3,4,7,2,6,5]=>37
[1,3,4,7,5,2,6]=>40
[1,3,4,7,5,6,2]=>32
[1,3,4,7,6,2,5]=>37
[1,3,4,7,6,5,2]=>27
[1,3,5,2,4,6,7]=>35
[1,3,5,2,4,7,6]=>37
[1,3,5,2,6,4,7]=>42
[1,3,5,2,6,7,4]=>39
[1,3,5,2,7,4,6]=>43
[1,3,5,2,7,6,4]=>40
[1,3,5,4,2,6,7]=>33
[1,3,5,4,2,7,6]=>33
[1,3,5,4,6,2,7]=>39
[1,3,5,4,6,7,2]=>33
[1,3,5,4,7,2,6]=>43
[1,3,5,4,7,6,2]=>33
[1,3,5,6,2,4,7]=>40
[1,3,5,6,2,7,4]=>39
[1,3,5,6,4,2,7]=>38
[1,3,5,6,4,7,2]=>38
[1,3,5,6,7,2,4]=>31
[1,3,5,6,7,4,2]=>29
[1,3,5,7,2,4,6]=>45
[1,3,5,7,2,6,4]=>48
[1,3,5,7,4,2,6]=>47
[1,3,5,7,4,6,2]=>45
[1,3,5,7,6,2,4]=>40
[1,3,5,7,6,4,2]=>34
[1,3,6,2,4,5,7]=>38
[1,3,6,2,4,7,5]=>45
[1,3,6,2,5,4,7]=>43
[1,3,6,2,5,7,4]=>48
[1,3,6,2,7,4,5]=>41
[1,3,6,2,7,5,4]=>41
[1,3,6,4,2,5,7]=>46
[1,3,6,4,2,7,5]=>47
[1,3,6,4,5,2,7]=>42
[1,3,6,4,5,7,2]=>40
[1,3,6,4,7,2,5]=>49
[1,3,6,4,7,5,2]=>45
[1,3,6,5,2,4,7]=>43
[1,3,6,5,2,7,4]=>46
[1,3,6,5,4,2,7]=>33
[1,3,6,5,4,7,2]=>35
[1,3,6,5,7,2,4]=>42
[1,3,6,5,7,4,2]=>38
[1,3,6,7,2,4,5]=>35
[1,3,6,7,2,5,4]=>39
[1,3,6,7,4,2,5]=>43
[1,3,6,7,4,5,2]=>35
[1,3,6,7,5,2,4]=>41
[1,3,6,7,5,4,2]=>31
[1,3,7,2,4,5,6]=>31
[1,3,7,2,4,6,5]=>40
[1,3,7,2,5,4,6]=>42
[1,3,7,2,5,6,4]=>42
[1,3,7,2,6,4,5]=>41
[1,3,7,2,6,5,4]=>33
[1,3,7,4,2,5,6]=>41
[1,3,7,4,2,6,5]=>42
[1,3,7,4,5,2,6]=>43
[1,3,7,4,5,6,2]=>33
[1,3,7,4,6,2,5]=>48
[1,3,7,4,6,5,2]=>38
[1,3,7,5,2,4,6]=>48
[1,3,7,5,2,6,4]=>50
[1,3,7,5,4,2,6]=>42
[1,3,7,5,4,6,2]=>42
[1,3,7,5,6,2,4]=>42
[1,3,7,5,6,4,2]=>38
[1,3,7,6,2,4,5]=>37
[1,3,7,6,2,5,4]=>37
[1,3,7,6,4,2,5]=>41
[1,3,7,6,4,5,2]=>35
[1,3,7,6,5,2,4]=>33
[1,3,7,6,5,4,2]=>23
[1,4,2,3,5,6,7]=>23
[1,4,2,3,5,7,6]=>29
[1,4,2,3,6,5,7]=>30
[1,4,2,3,6,7,5]=>32
[1,4,2,3,7,5,6]=>30
[1,4,2,3,7,6,5]=>27
[1,4,2,5,3,6,7]=>35
[1,4,2,5,3,7,6]=>37
[1,4,2,5,6,3,7]=>38
[1,4,2,5,6,7,3]=>31
[1,4,2,5,7,3,6]=>45
[1,4,2,5,7,6,3]=>40
[1,4,2,6,3,5,7]=>42
[1,4,2,6,3,7,5]=>43
[1,4,2,6,5,3,7]=>43
[1,4,2,6,5,7,3]=>42
[1,4,2,6,7,3,5]=>41
[1,4,2,6,7,5,3]=>41
[1,4,2,7,3,5,6]=>39
[1,4,2,7,3,6,5]=>40
[1,4,2,7,5,3,6]=>48
[1,4,2,7,5,6,3]=>42
[1,4,2,7,6,3,5]=>41
[1,4,2,7,6,5,3]=>33
[1,4,3,2,5,6,7]=>22
[1,4,3,2,5,7,6]=>27
[1,4,3,2,6,5,7]=>27
[1,4,3,2,6,7,5]=>29
[1,4,3,2,7,5,6]=>29
[1,4,3,2,7,6,5]=>22
[1,4,3,5,2,6,7]=>32
[1,4,3,5,2,7,6]=>35
[1,4,3,5,6,2,7]=>34
[1,4,3,5,6,7,2]=>28
[1,4,3,5,7,2,6]=>43
[1,4,3,5,7,6,2]=>35
[1,4,3,6,2,5,7]=>43
[1,4,3,6,2,7,5]=>43
[1,4,3,6,5,2,7]=>37
[1,4,3,6,5,7,2]=>35
[1,4,3,6,7,2,5]=>41
[1,4,3,6,7,5,2]=>37
[1,4,3,7,2,5,6]=>39
[1,4,3,7,2,6,5]=>36
[1,4,3,7,5,2,6]=>45
[1,4,3,7,5,6,2]=>39
[1,4,3,7,6,2,5]=>38
[1,4,3,7,6,5,2]=>30
[1,4,5,2,3,6,7]=>30
[1,4,5,2,3,7,6]=>31
[1,4,5,2,6,3,7]=>40
[1,4,5,2,6,7,3]=>36
[1,4,5,2,7,3,6]=>42
[1,4,5,2,7,6,3]=>40
[1,4,5,3,2,6,7]=>30
[1,4,5,3,2,7,6]=>31
[1,4,5,3,6,2,7]=>38
[1,4,5,3,6,7,2]=>34
[1,4,5,3,7,2,6]=>43
[1,4,5,3,7,6,2]=>37
[1,4,5,6,2,3,7]=>30
[1,4,5,6,2,7,3]=>33
[1,4,5,6,3,2,7]=>30
[1,4,5,6,3,7,2]=>32
[1,4,5,6,7,2,3]=>22
[1,4,5,6,7,3,2]=>22
[1,4,5,7,2,3,6]=>37
[1,4,5,7,2,6,3]=>43
[1,4,5,7,3,2,6]=>39
[1,4,5,7,3,6,2]=>43
[1,4,5,7,6,2,3]=>31
[1,4,5,7,6,3,2]=>29
[1,4,6,2,3,5,7]=>40
[1,4,6,2,3,7,5]=>42
[1,4,6,2,5,3,7]=>49
[1,4,6,2,5,7,3]=>52
[1,4,6,2,7,3,5]=>46
[1,4,6,2,7,5,3]=>50
[1,4,6,3,2,5,7]=>43
[1,4,6,3,2,7,5]=>43
[1,4,6,3,5,2,7]=>49
[1,4,6,3,5,7,2]=>49
[1,4,6,3,7,2,5]=>51
[1,4,6,3,7,5,2]=>49
[1,4,6,5,2,3,7]=>39
[1,4,6,5,2,7,3]=>45
[1,4,6,5,3,2,7]=>35
[1,4,6,5,3,7,2]=>41
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Description
The number of patterns in a permutation.
In other words, this is the number of subsequences which are not order-isomorphic.
In other words, this is the number of subsequences which are not order-isomorphic.
Code
def statistic(pi):
res = []
for w in Subwords(pi):
dom = sorted(w)
res += [Permutation([dom.index(e)+1 for e in w])]
return len(set(res))
#alternative faster code
@cached_function
def reduce_word(w):
dom = { j:i for i,j in enumerate(sorted(w)) }
return tuple(dom[j] for j in w)
def statistic_alternative(pi):
res = set()
for w in Subwords(pi):
res.add(reduce_word(tuple(w)))
return len(res)
Created
Jun 01, 2016 at 14:50 by Martin Rubey
Updated
Oct 17, 2017 at 11:00 by Christian Stump
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