Identifier
- St000423: Permutations ⟶ ℤ
Values
=>
[1]=>0
[1,2]=>0
[2,1]=>0
[1,2,3]=>1
[1,3,2]=>1
[2,1,3]=>0
[2,3,1]=>0
[3,1,2]=>0
[3,2,1]=>0
[1,2,3,4]=>4
[1,2,4,3]=>4
[1,3,2,4]=>3
[1,3,4,2]=>3
[1,4,2,3]=>3
[1,4,3,2]=>3
[2,1,3,4]=>2
[2,1,4,3]=>2
[2,3,1,4]=>1
[2,3,4,1]=>1
[2,4,1,3]=>1
[2,4,3,1]=>1
[3,1,2,4]=>1
[3,1,4,2]=>1
[3,2,1,4]=>0
[3,2,4,1]=>0
[3,4,1,2]=>0
[3,4,2,1]=>0
[4,1,2,3]=>1
[4,1,3,2]=>1
[4,2,1,3]=>0
[4,2,3,1]=>0
[4,3,1,2]=>0
[4,3,2,1]=>0
[1,2,3,4,5]=>10
[1,2,3,5,4]=>10
[1,2,4,3,5]=>9
[1,2,4,5,3]=>9
[1,2,5,3,4]=>9
[1,2,5,4,3]=>9
[1,3,2,4,5]=>8
[1,3,2,5,4]=>8
[1,3,4,2,5]=>7
[1,3,4,5,2]=>7
[1,3,5,2,4]=>7
[1,3,5,4,2]=>7
[1,4,2,3,5]=>7
[1,4,2,5,3]=>7
[1,4,3,2,5]=>6
[1,4,3,5,2]=>6
[1,4,5,2,3]=>6
[1,4,5,3,2]=>6
[1,5,2,3,4]=>7
[1,5,2,4,3]=>7
[1,5,3,2,4]=>6
[1,5,3,4,2]=>6
[1,5,4,2,3]=>6
[1,5,4,3,2]=>6
[2,1,3,4,5]=>7
[2,1,3,5,4]=>7
[2,1,4,3,5]=>6
[2,1,4,5,3]=>6
[2,1,5,3,4]=>6
[2,1,5,4,3]=>6
[2,3,1,4,5]=>5
[2,3,1,5,4]=>5
[2,3,4,1,5]=>4
[2,3,4,5,1]=>4
[2,3,5,1,4]=>4
[2,3,5,4,1]=>4
[2,4,1,3,5]=>4
[2,4,1,5,3]=>4
[2,4,3,1,5]=>3
[2,4,3,5,1]=>3
[2,4,5,1,3]=>3
[2,4,5,3,1]=>3
[2,5,1,3,4]=>4
[2,5,1,4,3]=>4
[2,5,3,1,4]=>3
[2,5,3,4,1]=>3
[2,5,4,1,3]=>3
[2,5,4,3,1]=>3
[3,1,2,4,5]=>5
[3,1,2,5,4]=>5
[3,1,4,2,5]=>4
[3,1,4,5,2]=>4
[3,1,5,2,4]=>4
[3,1,5,4,2]=>4
[3,2,1,4,5]=>3
[3,2,1,5,4]=>3
[3,2,4,1,5]=>2
[3,2,4,5,1]=>2
[3,2,5,1,4]=>2
[3,2,5,4,1]=>2
[3,4,1,2,5]=>2
[3,4,1,5,2]=>2
[3,4,2,1,5]=>1
[3,4,2,5,1]=>1
[3,4,5,1,2]=>1
[3,4,5,2,1]=>1
[3,5,1,2,4]=>2
[3,5,1,4,2]=>2
[3,5,2,1,4]=>1
[3,5,2,4,1]=>1
[3,5,4,1,2]=>1
[3,5,4,2,1]=>1
[4,1,2,3,5]=>4
[4,1,2,5,3]=>4
[4,1,3,2,5]=>3
[4,1,3,5,2]=>3
[4,1,5,2,3]=>3
[4,1,5,3,2]=>3
[4,2,1,3,5]=>2
[4,2,1,5,3]=>2
[4,2,3,1,5]=>1
[4,2,3,5,1]=>1
[4,2,5,1,3]=>1
[4,2,5,3,1]=>1
[4,3,1,2,5]=>1
[4,3,1,5,2]=>1
[4,3,2,1,5]=>0
[4,3,2,5,1]=>0
[4,3,5,1,2]=>0
[4,3,5,2,1]=>0
[4,5,1,2,3]=>1
[4,5,1,3,2]=>1
[4,5,2,1,3]=>0
[4,5,2,3,1]=>0
[4,5,3,1,2]=>0
[4,5,3,2,1]=>0
[5,1,2,3,4]=>4
[5,1,2,4,3]=>4
[5,1,3,2,4]=>3
[5,1,3,4,2]=>3
[5,1,4,2,3]=>3
[5,1,4,3,2]=>3
[5,2,1,3,4]=>2
[5,2,1,4,3]=>2
[5,2,3,1,4]=>1
[5,2,3,4,1]=>1
[5,2,4,1,3]=>1
[5,2,4,3,1]=>1
[5,3,1,2,4]=>1
[5,3,1,4,2]=>1
[5,3,2,1,4]=>0
[5,3,2,4,1]=>0
[5,3,4,1,2]=>0
[5,3,4,2,1]=>0
[5,4,1,2,3]=>1
[5,4,1,3,2]=>1
[5,4,2,1,3]=>0
[5,4,2,3,1]=>0
[5,4,3,1,2]=>0
[5,4,3,2,1]=>0
[1,2,3,4,5,6]=>20
[1,2,3,4,6,5]=>20
[1,2,3,5,4,6]=>19
[1,2,3,5,6,4]=>19
[1,2,3,6,4,5]=>19
[1,2,3,6,5,4]=>19
[1,2,4,3,5,6]=>18
[1,2,4,3,6,5]=>18
[1,2,4,5,3,6]=>17
[1,2,4,5,6,3]=>17
[1,2,4,6,3,5]=>17
[1,2,4,6,5,3]=>17
[1,2,5,3,4,6]=>17
[1,2,5,3,6,4]=>17
[1,2,5,4,3,6]=>16
[1,2,5,4,6,3]=>16
[1,2,5,6,3,4]=>16
[1,2,5,6,4,3]=>16
[1,2,6,3,4,5]=>17
[1,2,6,3,5,4]=>17
[1,2,6,4,3,5]=>16
[1,2,6,4,5,3]=>16
[1,2,6,5,3,4]=>16
[1,2,6,5,4,3]=>16
[1,3,2,4,5,6]=>17
[1,3,2,4,6,5]=>17
[1,3,2,5,4,6]=>16
[1,3,2,5,6,4]=>16
[1,3,2,6,4,5]=>16
[1,3,2,6,5,4]=>16
[1,3,4,2,5,6]=>15
[1,3,4,2,6,5]=>15
[1,3,4,5,2,6]=>14
[1,3,4,5,6,2]=>14
[1,3,4,6,2,5]=>14
[1,3,4,6,5,2]=>14
[1,3,5,2,4,6]=>14
[1,3,5,2,6,4]=>14
[1,3,5,4,2,6]=>13
[1,3,5,4,6,2]=>13
[1,3,5,6,2,4]=>13
[1,3,5,6,4,2]=>13
[1,3,6,2,4,5]=>14
[1,3,6,2,5,4]=>14
[1,3,6,4,2,5]=>13
[1,3,6,4,5,2]=>13
[1,3,6,5,2,4]=>13
[1,3,6,5,4,2]=>13
[1,4,2,3,5,6]=>15
[1,4,2,3,6,5]=>15
[1,4,2,5,3,6]=>14
[1,4,2,5,6,3]=>14
[1,4,2,6,3,5]=>14
[1,4,2,6,5,3]=>14
[1,4,3,2,5,6]=>13
[1,4,3,2,6,5]=>13
[1,4,3,5,2,6]=>12
[1,4,3,5,6,2]=>12
[1,4,3,6,2,5]=>12
[1,4,3,6,5,2]=>12
[1,4,5,2,3,6]=>12
[1,4,5,2,6,3]=>12
[1,4,5,3,2,6]=>11
[1,4,5,3,6,2]=>11
[1,4,5,6,2,3]=>11
[1,4,5,6,3,2]=>11
[1,4,6,2,3,5]=>12
[1,4,6,2,5,3]=>12
[1,4,6,3,2,5]=>11
[1,4,6,3,5,2]=>11
[1,4,6,5,2,3]=>11
[1,4,6,5,3,2]=>11
[1,5,2,3,4,6]=>14
[1,5,2,3,6,4]=>14
[1,5,2,4,3,6]=>13
[1,5,2,4,6,3]=>13
[1,5,2,6,3,4]=>13
[1,5,2,6,4,3]=>13
[1,5,3,2,4,6]=>12
[1,5,3,2,6,4]=>12
[1,5,3,4,2,6]=>11
[1,5,3,4,6,2]=>11
[1,5,3,6,2,4]=>11
[1,5,3,6,4,2]=>11
[1,5,4,2,3,6]=>11
[1,5,4,2,6,3]=>11
[1,5,4,3,2,6]=>10
[1,5,4,3,6,2]=>10
[1,5,4,6,2,3]=>10
[1,5,4,6,3,2]=>10
[1,5,6,2,3,4]=>11
[1,5,6,2,4,3]=>11
[1,5,6,3,2,4]=>10
[1,5,6,3,4,2]=>10
[1,5,6,4,2,3]=>10
[1,5,6,4,3,2]=>10
[1,6,2,3,4,5]=>14
[1,6,2,3,5,4]=>14
[1,6,2,4,3,5]=>13
[1,6,2,4,5,3]=>13
[1,6,2,5,3,4]=>13
[1,6,2,5,4,3]=>13
[1,6,3,2,4,5]=>12
[1,6,3,2,5,4]=>12
[1,6,3,4,2,5]=>11
[1,6,3,4,5,2]=>11
[1,6,3,5,2,4]=>11
[1,6,3,5,4,2]=>11
[1,6,4,2,3,5]=>11
[1,6,4,2,5,3]=>11
[1,6,4,3,2,5]=>10
[1,6,4,3,5,2]=>10
[1,6,4,5,2,3]=>10
[1,6,4,5,3,2]=>10
[1,6,5,2,3,4]=>11
[1,6,5,2,4,3]=>11
[1,6,5,3,2,4]=>10
[1,6,5,3,4,2]=>10
[1,6,5,4,2,3]=>10
[1,6,5,4,3,2]=>10
[2,1,3,4,5,6]=>16
[2,1,3,4,6,5]=>16
[2,1,3,5,4,6]=>15
[2,1,3,5,6,4]=>15
[2,1,3,6,4,5]=>15
[2,1,3,6,5,4]=>15
[2,1,4,3,5,6]=>14
[2,1,4,3,6,5]=>14
[2,1,4,5,3,6]=>13
[2,1,4,5,6,3]=>13
[2,1,4,6,3,5]=>13
[2,1,4,6,5,3]=>13
[2,1,5,3,4,6]=>13
[2,1,5,3,6,4]=>13
[2,1,5,4,3,6]=>12
[2,1,5,4,6,3]=>12
[2,1,5,6,3,4]=>12
[2,1,5,6,4,3]=>12
[2,1,6,3,4,5]=>13
[2,1,6,3,5,4]=>13
[2,1,6,4,3,5]=>12
[2,1,6,4,5,3]=>12
[2,1,6,5,3,4]=>12
[2,1,6,5,4,3]=>12
[2,3,1,4,5,6]=>13
[2,3,1,4,6,5]=>13
[2,3,1,5,4,6]=>12
[2,3,1,5,6,4]=>12
[2,3,1,6,4,5]=>12
[2,3,1,6,5,4]=>12
[2,3,4,1,5,6]=>11
[2,3,4,1,6,5]=>11
[2,3,4,5,1,6]=>10
[2,3,4,5,6,1]=>10
[2,3,4,6,1,5]=>10
[2,3,4,6,5,1]=>10
[2,3,5,1,4,6]=>10
[2,3,5,1,6,4]=>10
[2,3,5,4,1,6]=>9
[2,3,5,4,6,1]=>9
[2,3,5,6,1,4]=>9
[2,3,5,6,4,1]=>9
[2,3,6,1,4,5]=>10
[2,3,6,1,5,4]=>10
[2,3,6,4,1,5]=>9
[2,3,6,4,5,1]=>9
[2,3,6,5,1,4]=>9
[2,3,6,5,4,1]=>9
[2,4,1,3,5,6]=>11
[2,4,1,3,6,5]=>11
[2,4,1,5,3,6]=>10
[2,4,1,5,6,3]=>10
[2,4,1,6,3,5]=>10
[2,4,1,6,5,3]=>10
[2,4,3,1,5,6]=>9
[2,4,3,1,6,5]=>9
[2,4,3,5,1,6]=>8
[2,4,3,5,6,1]=>8
[2,4,3,6,1,5]=>8
[2,4,3,6,5,1]=>8
[2,4,5,1,3,6]=>8
[2,4,5,1,6,3]=>8
[2,4,5,3,1,6]=>7
[2,4,5,3,6,1]=>7
[2,4,5,6,1,3]=>7
[2,4,5,6,3,1]=>7
[2,4,6,1,3,5]=>8
[2,4,6,1,5,3]=>8
[2,4,6,3,1,5]=>7
[2,4,6,3,5,1]=>7
[2,4,6,5,1,3]=>7
[2,4,6,5,3,1]=>7
[2,5,1,3,4,6]=>10
[2,5,1,3,6,4]=>10
[2,5,1,4,3,6]=>9
[2,5,1,4,6,3]=>9
[2,5,1,6,3,4]=>9
[2,5,1,6,4,3]=>9
[2,5,3,1,4,6]=>8
[2,5,3,1,6,4]=>8
[2,5,3,4,1,6]=>7
[2,5,3,4,6,1]=>7
[2,5,3,6,1,4]=>7
[2,5,3,6,4,1]=>7
[2,5,4,1,3,6]=>7
[2,5,4,1,6,3]=>7
[2,5,4,3,1,6]=>6
[2,5,4,3,6,1]=>6
[2,5,4,6,1,3]=>6
[2,5,4,6,3,1]=>6
[2,5,6,1,3,4]=>7
[2,5,6,1,4,3]=>7
[2,5,6,3,1,4]=>6
[2,5,6,3,4,1]=>6
[2,5,6,4,1,3]=>6
[2,5,6,4,3,1]=>6
[2,6,1,3,4,5]=>10
[2,6,1,3,5,4]=>10
[2,6,1,4,3,5]=>9
[2,6,1,4,5,3]=>9
[2,6,1,5,3,4]=>9
[2,6,1,5,4,3]=>9
[2,6,3,1,4,5]=>8
[2,6,3,1,5,4]=>8
[2,6,3,4,1,5]=>7
[2,6,3,4,5,1]=>7
[2,6,3,5,1,4]=>7
[2,6,3,5,4,1]=>7
[2,6,4,1,3,5]=>7
[2,6,4,1,5,3]=>7
[2,6,4,3,1,5]=>6
[2,6,4,3,5,1]=>6
[2,6,4,5,1,3]=>6
[2,6,4,5,3,1]=>6
[2,6,5,1,3,4]=>7
[2,6,5,1,4,3]=>7
[2,6,5,3,1,4]=>6
[2,6,5,3,4,1]=>6
[2,6,5,4,1,3]=>6
[2,6,5,4,3,1]=>6
[3,1,2,4,5,6]=>13
[3,1,2,4,6,5]=>13
[3,1,2,5,4,6]=>12
[3,1,2,5,6,4]=>12
[3,1,2,6,4,5]=>12
[3,1,2,6,5,4]=>12
[3,1,4,2,5,6]=>11
[3,1,4,2,6,5]=>11
[3,1,4,5,2,6]=>10
[3,1,4,5,6,2]=>10
[3,1,4,6,2,5]=>10
[3,1,4,6,5,2]=>10
[3,1,5,2,4,6]=>10
[3,1,5,2,6,4]=>10
[3,1,5,4,2,6]=>9
[3,1,5,4,6,2]=>9
[3,1,5,6,2,4]=>9
[3,1,5,6,4,2]=>9
[3,1,6,2,4,5]=>10
[3,1,6,2,5,4]=>10
[3,1,6,4,2,5]=>9
[3,1,6,4,5,2]=>9
[3,1,6,5,2,4]=>9
[3,1,6,5,4,2]=>9
[3,2,1,4,5,6]=>10
[3,2,1,4,6,5]=>10
[3,2,1,5,4,6]=>9
[3,2,1,5,6,4]=>9
[3,2,1,6,4,5]=>9
[3,2,1,6,5,4]=>9
[3,2,4,1,5,6]=>8
[3,2,4,1,6,5]=>8
[3,2,4,5,1,6]=>7
[3,2,4,5,6,1]=>7
[3,2,4,6,1,5]=>7
[3,2,4,6,5,1]=>7
[3,2,5,1,4,6]=>7
[3,2,5,1,6,4]=>7
[3,2,5,4,1,6]=>6
[3,2,5,4,6,1]=>6
[3,2,5,6,1,4]=>6
[3,2,5,6,4,1]=>6
[3,2,6,1,4,5]=>7
[3,2,6,1,5,4]=>7
[3,2,6,4,1,5]=>6
[3,2,6,4,5,1]=>6
[3,2,6,5,1,4]=>6
[3,2,6,5,4,1]=>6
[3,4,1,2,5,6]=>8
[3,4,1,2,6,5]=>8
[3,4,1,5,2,6]=>7
[3,4,1,5,6,2]=>7
[3,4,1,6,2,5]=>7
[3,4,1,6,5,2]=>7
[3,4,2,1,5,6]=>6
[3,4,2,1,6,5]=>6
[3,4,2,5,1,6]=>5
[3,4,2,5,6,1]=>5
[3,4,2,6,1,5]=>5
[3,4,2,6,5,1]=>5
[3,4,5,1,2,6]=>5
[3,4,5,1,6,2]=>5
[3,4,5,2,1,6]=>4
[3,4,5,2,6,1]=>4
[3,4,5,6,1,2]=>4
[3,4,5,6,2,1]=>4
[3,4,6,1,2,5]=>5
[3,4,6,1,5,2]=>5
[3,4,6,2,1,5]=>4
[3,4,6,2,5,1]=>4
[3,4,6,5,1,2]=>4
[3,4,6,5,2,1]=>4
[3,5,1,2,4,6]=>7
[3,5,1,2,6,4]=>7
[3,5,1,4,2,6]=>6
[3,5,1,4,6,2]=>6
[3,5,1,6,2,4]=>6
[3,5,1,6,4,2]=>6
[3,5,2,1,4,6]=>5
[3,5,2,1,6,4]=>5
[3,5,2,4,1,6]=>4
[3,5,2,4,6,1]=>4
[3,5,2,6,1,4]=>4
[3,5,2,6,4,1]=>4
[3,5,4,1,2,6]=>4
[3,5,4,1,6,2]=>4
[3,5,4,2,1,6]=>3
[3,5,4,2,6,1]=>3
[3,5,4,6,1,2]=>3
[3,5,4,6,2,1]=>3
[3,5,6,1,2,4]=>4
[3,5,6,1,4,2]=>4
[3,5,6,2,1,4]=>3
[3,5,6,2,4,1]=>3
[3,5,6,4,1,2]=>3
[3,5,6,4,2,1]=>3
[3,6,1,2,4,5]=>7
[3,6,1,2,5,4]=>7
[3,6,1,4,2,5]=>6
[3,6,1,4,5,2]=>6
[3,6,1,5,2,4]=>6
[3,6,1,5,4,2]=>6
[3,6,2,1,4,5]=>5
[3,6,2,1,5,4]=>5
[3,6,2,4,1,5]=>4
[3,6,2,4,5,1]=>4
[3,6,2,5,1,4]=>4
[3,6,2,5,4,1]=>4
[3,6,4,1,2,5]=>4
[3,6,4,1,5,2]=>4
[3,6,4,2,1,5]=>3
[3,6,4,2,5,1]=>3
[3,6,4,5,1,2]=>3
[3,6,4,5,2,1]=>3
[3,6,5,1,2,4]=>4
[3,6,5,1,4,2]=>4
[3,6,5,2,1,4]=>3
[3,6,5,2,4,1]=>3
[3,6,5,4,1,2]=>3
[3,6,5,4,2,1]=>3
[4,1,2,3,5,6]=>11
[4,1,2,3,6,5]=>11
[4,1,2,5,3,6]=>10
[4,1,2,5,6,3]=>10
[4,1,2,6,3,5]=>10
[4,1,2,6,5,3]=>10
[4,1,3,2,5,6]=>9
[4,1,3,2,6,5]=>9
[4,1,3,5,2,6]=>8
[4,1,3,5,6,2]=>8
[4,1,3,6,2,5]=>8
[4,1,3,6,5,2]=>8
[4,1,5,2,3,6]=>8
[4,1,5,2,6,3]=>8
[4,1,5,3,2,6]=>7
[4,1,5,3,6,2]=>7
[4,1,5,6,2,3]=>7
[4,1,5,6,3,2]=>7
[4,1,6,2,3,5]=>8
[4,1,6,2,5,3]=>8
[4,1,6,3,2,5]=>7
[4,1,6,3,5,2]=>7
[4,1,6,5,2,3]=>7
[4,1,6,5,3,2]=>7
[4,2,1,3,5,6]=>8
[4,2,1,3,6,5]=>8
[4,2,1,5,3,6]=>7
[4,2,1,5,6,3]=>7
[4,2,1,6,3,5]=>7
[4,2,1,6,5,3]=>7
[4,2,3,1,5,6]=>6
[4,2,3,1,6,5]=>6
[4,2,3,5,1,6]=>5
[4,2,3,5,6,1]=>5
[4,2,3,6,1,5]=>5
[4,2,3,6,5,1]=>5
[4,2,5,1,3,6]=>5
[4,2,5,1,6,3]=>5
[4,2,5,3,1,6]=>4
[4,2,5,3,6,1]=>4
[4,2,5,6,1,3]=>4
[4,2,5,6,3,1]=>4
[4,2,6,1,3,5]=>5
[4,2,6,1,5,3]=>5
[4,2,6,3,1,5]=>4
[4,2,6,3,5,1]=>4
[4,2,6,5,1,3]=>4
[4,2,6,5,3,1]=>4
[4,3,1,2,5,6]=>6
[4,3,1,2,6,5]=>6
[4,3,1,5,2,6]=>5
[4,3,1,5,6,2]=>5
[4,3,1,6,2,5]=>5
[4,3,1,6,5,2]=>5
[4,3,2,1,5,6]=>4
[4,3,2,1,6,5]=>4
[4,3,2,5,1,6]=>3
[4,3,2,5,6,1]=>3
[4,3,2,6,1,5]=>3
[4,3,2,6,5,1]=>3
[4,3,5,1,2,6]=>3
[4,3,5,1,6,2]=>3
[4,3,5,2,1,6]=>2
[4,3,5,2,6,1]=>2
[4,3,5,6,1,2]=>2
[4,3,5,6,2,1]=>2
[4,3,6,1,2,5]=>3
[4,3,6,1,5,2]=>3
[4,3,6,2,1,5]=>2
[4,3,6,2,5,1]=>2
[4,3,6,5,1,2]=>2
[4,3,6,5,2,1]=>2
[4,5,1,2,3,6]=>5
[4,5,1,2,6,3]=>5
[4,5,1,3,2,6]=>4
[4,5,1,3,6,2]=>4
[4,5,1,6,2,3]=>4
[4,5,1,6,3,2]=>4
[4,5,2,1,3,6]=>3
[4,5,2,1,6,3]=>3
[4,5,2,3,1,6]=>2
[4,5,2,3,6,1]=>2
[4,5,2,6,1,3]=>2
[4,5,2,6,3,1]=>2
[4,5,3,1,2,6]=>2
[4,5,3,1,6,2]=>2
[4,5,3,2,1,6]=>1
[4,5,3,2,6,1]=>1
[4,5,3,6,1,2]=>1
[4,5,3,6,2,1]=>1
[4,5,6,1,2,3]=>2
[4,5,6,1,3,2]=>2
[4,5,6,2,1,3]=>1
[4,5,6,2,3,1]=>1
[4,5,6,3,1,2]=>1
[4,5,6,3,2,1]=>1
[4,6,1,2,3,5]=>5
[4,6,1,2,5,3]=>5
[4,6,1,3,2,5]=>4
[4,6,1,3,5,2]=>4
[4,6,1,5,2,3]=>4
[4,6,1,5,3,2]=>4
[4,6,2,1,3,5]=>3
[4,6,2,1,5,3]=>3
[4,6,2,3,1,5]=>2
[4,6,2,3,5,1]=>2
[4,6,2,5,1,3]=>2
[4,6,2,5,3,1]=>2
[4,6,3,1,2,5]=>2
[4,6,3,1,5,2]=>2
[4,6,3,2,1,5]=>1
[4,6,3,2,5,1]=>1
[4,6,3,5,1,2]=>1
[4,6,3,5,2,1]=>1
[4,6,5,1,2,3]=>2
[4,6,5,1,3,2]=>2
[4,6,5,2,1,3]=>1
[4,6,5,2,3,1]=>1
[4,6,5,3,1,2]=>1
[4,6,5,3,2,1]=>1
[5,1,2,3,4,6]=>10
[5,1,2,3,6,4]=>10
[5,1,2,4,3,6]=>9
[5,1,2,4,6,3]=>9
[5,1,2,6,3,4]=>9
[5,1,2,6,4,3]=>9
[5,1,3,2,4,6]=>8
[5,1,3,2,6,4]=>8
[5,1,3,4,2,6]=>7
[5,1,3,4,6,2]=>7
[5,1,3,6,2,4]=>7
[5,1,3,6,4,2]=>7
[5,1,4,2,3,6]=>7
[5,1,4,2,6,3]=>7
[5,1,4,3,2,6]=>6
[5,1,4,3,6,2]=>6
[5,1,4,6,2,3]=>6
[5,1,4,6,3,2]=>6
[5,1,6,2,3,4]=>7
[5,1,6,2,4,3]=>7
[5,1,6,3,2,4]=>6
[5,1,6,3,4,2]=>6
[5,1,6,4,2,3]=>6
[5,1,6,4,3,2]=>6
[5,2,1,3,4,6]=>7
[5,2,1,3,6,4]=>7
[5,2,1,4,3,6]=>6
[5,2,1,4,6,3]=>6
[5,2,1,6,3,4]=>6
[5,2,1,6,4,3]=>6
[5,2,3,1,4,6]=>5
[5,2,3,1,6,4]=>5
[5,2,3,4,1,6]=>4
[5,2,3,4,6,1]=>4
[5,2,3,6,1,4]=>4
[5,2,3,6,4,1]=>4
[5,2,4,1,3,6]=>4
[5,2,4,1,6,3]=>4
[5,2,4,3,1,6]=>3
[5,2,4,3,6,1]=>3
[5,2,4,6,1,3]=>3
[5,2,4,6,3,1]=>3
[5,2,6,1,3,4]=>4
[5,2,6,1,4,3]=>4
[5,2,6,3,1,4]=>3
[5,2,6,3,4,1]=>3
[5,2,6,4,1,3]=>3
[5,2,6,4,3,1]=>3
[5,3,1,2,4,6]=>5
[5,3,1,2,6,4]=>5
[5,3,1,4,2,6]=>4
[5,3,1,4,6,2]=>4
[5,3,1,6,2,4]=>4
[5,3,1,6,4,2]=>4
[5,3,2,1,4,6]=>3
[5,3,2,1,6,4]=>3
[5,3,2,4,1,6]=>2
[5,3,2,4,6,1]=>2
[5,3,2,6,1,4]=>2
[5,3,2,6,4,1]=>2
[5,3,4,1,2,6]=>2
[5,3,4,1,6,2]=>2
[5,3,4,2,1,6]=>1
[5,3,4,2,6,1]=>1
[5,3,4,6,1,2]=>1
[5,3,4,6,2,1]=>1
[5,3,6,1,2,4]=>2
[5,3,6,1,4,2]=>2
[5,3,6,2,1,4]=>1
[5,3,6,2,4,1]=>1
[5,3,6,4,1,2]=>1
[5,3,6,4,2,1]=>1
[5,4,1,2,3,6]=>4
[5,4,1,2,6,3]=>4
[5,4,1,3,2,6]=>3
[5,4,1,3,6,2]=>3
[5,4,1,6,2,3]=>3
[5,4,1,6,3,2]=>3
[5,4,2,1,3,6]=>2
[5,4,2,1,6,3]=>2
[5,4,2,3,1,6]=>1
[5,4,2,3,6,1]=>1
[5,4,2,6,1,3]=>1
[5,4,2,6,3,1]=>1
[5,4,3,1,2,6]=>1
[5,4,3,1,6,2]=>1
[5,4,3,2,1,6]=>0
[5,4,3,2,6,1]=>0
[5,4,3,6,1,2]=>0
[5,4,3,6,2,1]=>0
[5,4,6,1,2,3]=>1
[5,4,6,1,3,2]=>1
[5,4,6,2,1,3]=>0
[5,4,6,2,3,1]=>0
[5,4,6,3,1,2]=>0
[5,4,6,3,2,1]=>0
[5,6,1,2,3,4]=>4
[5,6,1,2,4,3]=>4
[5,6,1,3,2,4]=>3
[5,6,1,3,4,2]=>3
[5,6,1,4,2,3]=>3
[5,6,1,4,3,2]=>3
[5,6,2,1,3,4]=>2
[5,6,2,1,4,3]=>2
[5,6,2,3,1,4]=>1
[5,6,2,3,4,1]=>1
[5,6,2,4,1,3]=>1
[5,6,2,4,3,1]=>1
[5,6,3,1,2,4]=>1
[5,6,3,1,4,2]=>1
[5,6,3,2,1,4]=>0
[5,6,3,2,4,1]=>0
[5,6,3,4,1,2]=>0
[5,6,3,4,2,1]=>0
[5,6,4,1,2,3]=>1
[5,6,4,1,3,2]=>1
[5,6,4,2,1,3]=>0
[5,6,4,2,3,1]=>0
[5,6,4,3,1,2]=>0
[5,6,4,3,2,1]=>0
[6,1,2,3,4,5]=>10
[6,1,2,3,5,4]=>10
[6,1,2,4,3,5]=>9
[6,1,2,4,5,3]=>9
[6,1,2,5,3,4]=>9
[6,1,2,5,4,3]=>9
[6,1,3,2,4,5]=>8
[6,1,3,2,5,4]=>8
[6,1,3,4,2,5]=>7
[6,1,3,4,5,2]=>7
[6,1,3,5,2,4]=>7
[6,1,3,5,4,2]=>7
[6,1,4,2,3,5]=>7
[6,1,4,2,5,3]=>7
[6,1,4,3,2,5]=>6
[6,1,4,3,5,2]=>6
[6,1,4,5,2,3]=>6
[6,1,4,5,3,2]=>6
[6,1,5,2,3,4]=>7
[6,1,5,2,4,3]=>7
[6,1,5,3,2,4]=>6
[6,1,5,3,4,2]=>6
[6,1,5,4,2,3]=>6
[6,1,5,4,3,2]=>6
[6,2,1,3,4,5]=>7
[6,2,1,3,5,4]=>7
[6,2,1,4,3,5]=>6
[6,2,1,4,5,3]=>6
[6,2,1,5,3,4]=>6
[6,2,1,5,4,3]=>6
[6,2,3,1,4,5]=>5
[6,2,3,1,5,4]=>5
[6,2,3,4,1,5]=>4
[6,2,3,4,5,1]=>4
[6,2,3,5,1,4]=>4
[6,2,3,5,4,1]=>4
[6,2,4,1,3,5]=>4
[6,2,4,1,5,3]=>4
[6,2,4,3,1,5]=>3
[6,2,4,3,5,1]=>3
[6,2,4,5,1,3]=>3
[6,2,4,5,3,1]=>3
[6,2,5,1,3,4]=>4
[6,2,5,1,4,3]=>4
[6,2,5,3,1,4]=>3
[6,2,5,3,4,1]=>3
[6,2,5,4,1,3]=>3
[6,2,5,4,3,1]=>3
[6,3,1,2,4,5]=>5
[6,3,1,2,5,4]=>5
[6,3,1,4,2,5]=>4
[6,3,1,4,5,2]=>4
[6,3,1,5,2,4]=>4
[6,3,1,5,4,2]=>4
[6,3,2,1,4,5]=>3
[6,3,2,1,5,4]=>3
[6,3,2,4,1,5]=>2
[6,3,2,4,5,1]=>2
[6,3,2,5,1,4]=>2
[6,3,2,5,4,1]=>2
[6,3,4,1,2,5]=>2
[6,3,4,1,5,2]=>2
[6,3,4,2,1,5]=>1
[6,3,4,2,5,1]=>1
[6,3,4,5,1,2]=>1
[6,3,4,5,2,1]=>1
[6,3,5,1,2,4]=>2
[6,3,5,1,4,2]=>2
[6,3,5,2,1,4]=>1
[6,3,5,2,4,1]=>1
[6,3,5,4,1,2]=>1
[6,3,5,4,2,1]=>1
[6,4,1,2,3,5]=>4
[6,4,1,2,5,3]=>4
[6,4,1,3,2,5]=>3
[6,4,1,3,5,2]=>3
[6,4,1,5,2,3]=>3
[6,4,1,5,3,2]=>3
[6,4,2,1,3,5]=>2
[6,4,2,1,5,3]=>2
[6,4,2,3,1,5]=>1
[6,4,2,3,5,1]=>1
[6,4,2,5,1,3]=>1
[6,4,2,5,3,1]=>1
[6,4,3,1,2,5]=>1
[6,4,3,1,5,2]=>1
[6,4,3,2,1,5]=>0
[6,4,3,2,5,1]=>0
[6,4,3,5,1,2]=>0
[6,4,3,5,2,1]=>0
[6,4,5,1,2,3]=>1
[6,4,5,1,3,2]=>1
[6,4,5,2,1,3]=>0
[6,4,5,2,3,1]=>0
[6,4,5,3,1,2]=>0
[6,4,5,3,2,1]=>0
[6,5,1,2,3,4]=>4
[6,5,1,2,4,3]=>4
[6,5,1,3,2,4]=>3
[6,5,1,3,4,2]=>3
[6,5,1,4,2,3]=>3
[6,5,1,4,3,2]=>3
[6,5,2,1,3,4]=>2
[6,5,2,1,4,3]=>2
[6,5,2,3,1,4]=>1
[6,5,2,3,4,1]=>1
[6,5,2,4,1,3]=>1
[6,5,2,4,3,1]=>1
[6,5,3,1,2,4]=>1
[6,5,3,1,4,2]=>1
[6,5,3,2,1,4]=>0
[6,5,3,2,4,1]=>0
[6,5,3,4,1,2]=>0
[6,5,3,4,2,1]=>0
[6,5,4,1,2,3]=>1
[6,5,4,1,3,2]=>1
[6,5,4,2,1,3]=>0
[6,5,4,2,3,1]=>0
[6,5,4,3,1,2]=>0
[6,5,4,3,2,1]=>0
[1,2,3,4,5,6,7]=>35
[1,2,3,4,5,7,6]=>35
[1,2,3,4,6,5,7]=>34
[1,2,3,4,6,7,5]=>34
[1,2,3,4,7,5,6]=>34
[1,2,3,4,7,6,5]=>34
[1,2,3,5,4,6,7]=>33
[1,2,3,5,4,7,6]=>33
[1,2,3,5,6,4,7]=>32
[1,2,3,5,6,7,4]=>32
[1,2,3,5,7,4,6]=>32
[1,2,3,5,7,6,4]=>32
[1,2,3,6,4,5,7]=>32
[1,2,3,6,4,7,5]=>32
[1,2,3,6,5,4,7]=>31
[1,2,3,6,5,7,4]=>31
[1,2,3,6,7,4,5]=>31
[1,2,3,6,7,5,4]=>31
[1,2,3,7,4,5,6]=>32
[1,2,3,7,4,6,5]=>32
[1,2,3,7,5,4,6]=>31
[1,2,3,7,5,6,4]=>31
[1,2,3,7,6,4,5]=>31
[1,2,3,7,6,5,4]=>31
[1,2,4,3,5,6,7]=>32
[1,2,4,3,5,7,6]=>32
[1,2,4,3,6,5,7]=>31
[1,2,4,3,6,7,5]=>31
[1,2,4,3,7,5,6]=>31
[1,2,4,3,7,6,5]=>31
[1,2,4,5,3,6,7]=>30
[1,2,4,5,3,7,6]=>30
[1,2,4,5,6,3,7]=>29
[1,2,4,5,6,7,3]=>29
[1,2,4,5,7,3,6]=>29
[1,2,4,5,7,6,3]=>29
[1,2,4,6,3,5,7]=>29
[1,2,4,6,3,7,5]=>29
[1,2,4,6,5,3,7]=>28
[1,2,4,6,5,7,3]=>28
[1,2,4,6,7,3,5]=>28
[1,2,4,6,7,5,3]=>28
[1,2,4,7,3,5,6]=>29
[1,2,4,7,3,6,5]=>29
[1,2,4,7,5,3,6]=>28
[1,2,4,7,5,6,3]=>28
[1,2,4,7,6,3,5]=>28
[1,2,4,7,6,5,3]=>28
[1,2,5,3,4,6,7]=>30
[1,2,5,3,4,7,6]=>30
[1,2,5,3,6,4,7]=>29
[1,2,5,3,6,7,4]=>29
[1,2,5,3,7,4,6]=>29
[1,2,5,3,7,6,4]=>29
[1,2,5,4,3,6,7]=>28
[1,2,5,4,3,7,6]=>28
[1,2,5,4,6,3,7]=>27
[1,2,5,4,6,7,3]=>27
[1,2,5,4,7,3,6]=>27
[1,2,5,4,7,6,3]=>27
[1,2,5,6,3,4,7]=>27
[1,2,5,6,3,7,4]=>27
[1,2,5,6,4,3,7]=>26
[1,2,5,6,4,7,3]=>26
[1,2,5,6,7,3,4]=>26
[1,2,5,6,7,4,3]=>26
[1,2,5,7,3,4,6]=>27
[1,2,5,7,3,6,4]=>27
[1,2,5,7,4,3,6]=>26
[1,2,5,7,4,6,3]=>26
[1,2,5,7,6,3,4]=>26
[1,2,5,7,6,4,3]=>26
[1,2,6,3,4,5,7]=>29
[1,2,6,3,4,7,5]=>29
[1,2,6,3,5,4,7]=>28
[1,2,6,3,5,7,4]=>28
[1,2,6,3,7,4,5]=>28
[1,2,6,3,7,5,4]=>28
[1,2,6,4,3,5,7]=>27
[1,2,6,4,3,7,5]=>27
[1,2,6,4,5,3,7]=>26
[1,2,6,4,5,7,3]=>26
[1,2,6,4,7,3,5]=>26
[1,2,6,4,7,5,3]=>26
[1,2,6,5,3,4,7]=>26
[1,2,6,5,3,7,4]=>26
[1,2,6,5,4,3,7]=>25
[1,2,6,5,4,7,3]=>25
[1,2,6,5,7,3,4]=>25
[1,2,6,5,7,4,3]=>25
[1,2,6,7,3,4,5]=>26
[1,2,6,7,3,5,4]=>26
[1,2,6,7,4,3,5]=>25
[1,2,6,7,4,5,3]=>25
[1,2,6,7,5,3,4]=>25
[1,2,6,7,5,4,3]=>25
[1,2,7,3,4,5,6]=>29
[1,2,7,3,4,6,5]=>29
[1,2,7,3,5,4,6]=>28
[1,2,7,3,5,6,4]=>28
[1,2,7,3,6,4,5]=>28
[1,2,7,3,6,5,4]=>28
[1,2,7,4,3,5,6]=>27
[1,2,7,4,3,6,5]=>27
[1,2,7,4,5,3,6]=>26
[1,2,7,4,5,6,3]=>26
[1,2,7,4,6,3,5]=>26
[1,2,7,4,6,5,3]=>26
[1,2,7,5,3,4,6]=>26
[1,2,7,5,3,6,4]=>26
[1,2,7,5,4,3,6]=>25
[1,2,7,5,4,6,3]=>25
[1,2,7,5,6,3,4]=>25
[1,2,7,5,6,4,3]=>25
[1,2,7,6,3,4,5]=>26
[1,2,7,6,3,5,4]=>26
[1,2,7,6,4,3,5]=>25
[1,2,7,6,4,5,3]=>25
[1,2,7,6,5,3,4]=>25
[1,2,7,6,5,4,3]=>25
[1,3,2,4,5,6,7]=>31
[1,3,2,4,5,7,6]=>31
[1,3,2,4,6,5,7]=>30
[1,3,2,4,6,7,5]=>30
[1,3,2,4,7,5,6]=>30
[1,3,2,4,7,6,5]=>30
[1,3,2,5,4,6,7]=>29
[1,3,2,5,4,7,6]=>29
[1,3,2,5,6,4,7]=>28
[1,3,2,5,6,7,4]=>28
[1,3,2,5,7,4,6]=>28
[1,3,2,5,7,6,4]=>28
[1,3,2,6,4,5,7]=>28
[1,3,2,6,4,7,5]=>28
[1,3,2,6,5,4,7]=>27
[1,3,2,6,5,7,4]=>27
[1,3,2,6,7,4,5]=>27
[1,3,2,6,7,5,4]=>27
[1,3,2,7,4,5,6]=>28
[1,3,2,7,4,6,5]=>28
[1,3,2,7,5,4,6]=>27
[1,3,2,7,5,6,4]=>27
[1,3,2,7,6,4,5]=>27
[1,3,2,7,6,5,4]=>27
[1,3,4,2,5,6,7]=>28
[1,3,4,2,5,7,6]=>28
[1,3,4,2,6,5,7]=>27
[1,3,4,2,6,7,5]=>27
[1,3,4,2,7,5,6]=>27
[1,3,4,2,7,6,5]=>27
[1,3,4,5,2,6,7]=>26
[1,3,4,5,2,7,6]=>26
[1,3,4,5,6,2,7]=>25
[1,3,4,5,6,7,2]=>25
[1,3,4,5,7,2,6]=>25
[1,3,4,5,7,6,2]=>25
[1,3,4,6,2,5,7]=>25
[1,3,4,6,2,7,5]=>25
[1,3,4,6,5,2,7]=>24
[1,3,4,6,5,7,2]=>24
[1,3,4,6,7,2,5]=>24
[1,3,4,6,7,5,2]=>24
[1,3,4,7,2,5,6]=>25
[1,3,4,7,2,6,5]=>25
[1,3,4,7,5,2,6]=>24
[1,3,4,7,5,6,2]=>24
[1,3,4,7,6,2,5]=>24
[1,3,4,7,6,5,2]=>24
[1,3,5,2,4,6,7]=>26
[1,3,5,2,4,7,6]=>26
[1,3,5,2,6,4,7]=>25
[1,3,5,2,6,7,4]=>25
[1,3,5,2,7,4,6]=>25
[1,3,5,2,7,6,4]=>25
[1,3,5,4,2,6,7]=>24
[1,3,5,4,2,7,6]=>24
[1,3,5,4,6,2,7]=>23
[1,3,5,4,6,7,2]=>23
[1,3,5,4,7,2,6]=>23
[1,3,5,4,7,6,2]=>23
[1,3,5,6,2,4,7]=>23
[1,3,5,6,2,7,4]=>23
[1,3,5,6,4,2,7]=>22
[1,3,5,6,4,7,2]=>22
[1,3,5,6,7,2,4]=>22
[1,3,5,6,7,4,2]=>22
[1,3,5,7,2,4,6]=>23
[1,3,5,7,2,6,4]=>23
[1,3,5,7,4,2,6]=>22
[1,3,5,7,4,6,2]=>22
[1,3,5,7,6,2,4]=>22
[1,3,5,7,6,4,2]=>22
[1,3,6,2,4,5,7]=>25
[1,3,6,2,4,7,5]=>25
[1,3,6,2,5,4,7]=>24
[1,3,6,2,5,7,4]=>24
[1,3,6,2,7,4,5]=>24
[1,3,6,2,7,5,4]=>24
[1,3,6,4,2,5,7]=>23
[1,3,6,4,2,7,5]=>23
[1,3,6,4,5,2,7]=>22
[1,3,6,4,5,7,2]=>22
[1,3,6,4,7,2,5]=>22
[1,3,6,4,7,5,2]=>22
[1,3,6,5,2,4,7]=>22
[1,3,6,5,2,7,4]=>22
[1,3,6,5,4,2,7]=>21
[1,3,6,5,4,7,2]=>21
[1,3,6,5,7,2,4]=>21
[1,3,6,5,7,4,2]=>21
[1,3,6,7,2,4,5]=>22
[1,3,6,7,2,5,4]=>22
[1,3,6,7,4,2,5]=>21
[1,3,6,7,4,5,2]=>21
[1,3,6,7,5,2,4]=>21
[1,3,6,7,5,4,2]=>21
[1,3,7,2,4,5,6]=>25
[1,3,7,2,4,6,5]=>25
[1,3,7,2,5,4,6]=>24
[1,3,7,2,5,6,4]=>24
[1,3,7,2,6,4,5]=>24
[1,3,7,2,6,5,4]=>24
[1,3,7,4,2,5,6]=>23
[1,3,7,4,2,6,5]=>23
[1,3,7,4,5,2,6]=>22
[1,3,7,4,5,6,2]=>22
[1,3,7,4,6,2,5]=>22
[1,3,7,4,6,5,2]=>22
[1,3,7,5,2,4,6]=>22
[1,3,7,5,2,6,4]=>22
[1,3,7,5,4,2,6]=>21
[1,3,7,5,4,6,2]=>21
[1,3,7,5,6,2,4]=>21
[1,3,7,5,6,4,2]=>21
[1,3,7,6,2,4,5]=>22
[1,3,7,6,2,5,4]=>22
[1,3,7,6,4,2,5]=>21
[1,3,7,6,4,5,2]=>21
[1,3,7,6,5,2,4]=>21
[1,3,7,6,5,4,2]=>21
[1,4,2,3,5,6,7]=>28
[1,4,2,3,5,7,6]=>28
[1,4,2,3,6,5,7]=>27
[1,4,2,3,6,7,5]=>27
[1,4,2,3,7,5,6]=>27
[1,4,2,3,7,6,5]=>27
[1,4,2,5,3,6,7]=>26
[1,4,2,5,3,7,6]=>26
[1,4,2,5,6,3,7]=>25
[1,4,2,5,6,7,3]=>25
[1,4,2,5,7,3,6]=>25
[1,4,2,5,7,6,3]=>25
[1,4,2,6,3,5,7]=>25
[1,4,2,6,3,7,5]=>25
[1,4,2,6,5,3,7]=>24
[1,4,2,6,5,7,3]=>24
[1,4,2,6,7,3,5]=>24
[1,4,2,6,7,5,3]=>24
[1,4,2,7,3,5,6]=>25
[1,4,2,7,3,6,5]=>25
[1,4,2,7,5,3,6]=>24
[1,4,2,7,5,6,3]=>24
[1,4,2,7,6,3,5]=>24
[1,4,2,7,6,5,3]=>24
[1,4,3,2,5,6,7]=>25
[1,4,3,2,5,7,6]=>25
[1,4,3,2,6,5,7]=>24
[1,4,3,2,6,7,5]=>24
[1,4,3,2,7,5,6]=>24
[1,4,3,2,7,6,5]=>24
[1,4,3,5,2,6,7]=>23
[1,4,3,5,2,7,6]=>23
[1,4,3,5,6,2,7]=>22
[1,4,3,5,6,7,2]=>22
[1,4,3,5,7,2,6]=>22
[1,4,3,5,7,6,2]=>22
[1,4,3,6,2,5,7]=>22
[1,4,3,6,2,7,5]=>22
[1,4,3,6,5,2,7]=>21
[1,4,3,6,5,7,2]=>21
[1,4,3,6,7,2,5]=>21
[1,4,3,6,7,5,2]=>21
[1,4,3,7,2,5,6]=>22
[1,4,3,7,2,6,5]=>22
[1,4,3,7,5,2,6]=>21
[1,4,3,7,5,6,2]=>21
[1,4,3,7,6,2,5]=>21
[1,4,3,7,6,5,2]=>21
[1,4,5,2,3,6,7]=>23
[1,4,5,2,3,7,6]=>23
[1,4,5,2,6,3,7]=>22
[1,4,5,2,6,7,3]=>22
[1,4,5,2,7,3,6]=>22
[1,4,5,2,7,6,3]=>22
[1,4,5,3,2,6,7]=>21
[1,4,5,3,2,7,6]=>21
[1,4,5,3,6,2,7]=>20
[1,4,5,3,6,7,2]=>20
[1,4,5,3,7,2,6]=>20
[1,4,5,3,7,6,2]=>20
[1,4,5,6,2,3,7]=>20
[1,4,5,6,2,7,3]=>20
[1,4,5,6,3,2,7]=>19
[1,4,5,6,3,7,2]=>19
[1,4,5,6,7,2,3]=>19
[1,4,5,6,7,3,2]=>19
[1,4,5,7,2,3,6]=>20
[1,4,5,7,2,6,3]=>20
[1,4,5,7,3,2,6]=>19
[1,4,5,7,3,6,2]=>19
[1,4,5,7,6,2,3]=>19
[1,4,5,7,6,3,2]=>19
[1,4,6,2,3,5,7]=>22
[1,4,6,2,3,7,5]=>22
[1,4,6,2,5,3,7]=>21
[1,4,6,2,5,7,3]=>21
[1,4,6,2,7,3,5]=>21
[1,4,6,2,7,5,3]=>21
[1,4,6,3,2,5,7]=>20
[1,4,6,3,2,7,5]=>20
[1,4,6,3,5,2,7]=>19
[1,4,6,3,5,7,2]=>19
[1,4,6,3,7,2,5]=>19
[1,4,6,3,7,5,2]=>19
[1,4,6,5,2,3,7]=>19
[1,4,6,5,2,7,3]=>19
[1,4,6,5,3,2,7]=>18
[1,4,6,5,3,7,2]=>18
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Description
The number of occurrences of the pattern 123 or of the pattern 132 in a permutation.
Code
def statistic(pi):
return len(pi.pattern_positions([1, 2, 3]))+len(pi.pattern_positions([1, 3, 2]))
Created
Feb 26, 2016 at 12:42 by Martin Rubey
Updated
May 10, 2019 at 17:32 by Henning Ulfarsson
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