Identifier
- St000133: Permutations ⟶ ℤ
Values
=>
[1]=>0
[1,2]=>1
[2,1]=>0
[1,2,3]=>3
[1,3,2]=>2
[2,1,3]=>1
[2,3,1]=>0
[3,1,2]=>1
[3,2,1]=>0
[1,2,3,4]=>6
[1,2,4,3]=>5
[1,3,2,4]=>4
[1,3,4,2]=>3
[1,4,2,3]=>4
[1,4,3,2]=>3
[2,1,3,4]=>3
[2,1,4,3]=>2
[2,3,1,4]=>1
[2,3,4,1]=>0
[2,4,1,3]=>1
[2,4,3,1]=>0
[3,1,2,4]=>3
[3,1,4,2]=>2
[3,2,1,4]=>1
[3,2,4,1]=>0
[3,4,1,2]=>1
[3,4,2,1]=>0
[4,1,2,3]=>2
[4,1,3,2]=>2
[4,2,1,3]=>1
[4,2,3,1]=>0
[4,3,1,2]=>1
[4,3,2,1]=>0
[1,2,3,4,5]=>10
[1,2,3,5,4]=>9
[1,2,4,3,5]=>8
[1,2,4,5,3]=>7
[1,2,5,3,4]=>8
[1,2,5,4,3]=>7
[1,3,2,4,5]=>7
[1,3,2,5,4]=>6
[1,3,4,2,5]=>5
[1,3,4,5,2]=>4
[1,3,5,2,4]=>5
[1,3,5,4,2]=>4
[1,4,2,3,5]=>7
[1,4,2,5,3]=>6
[1,4,3,2,5]=>5
[1,4,3,5,2]=>4
[1,4,5,2,3]=>5
[1,4,5,3,2]=>4
[1,5,2,3,4]=>6
[1,5,2,4,3]=>6
[1,5,3,2,4]=>5
[1,5,3,4,2]=>4
[1,5,4,2,3]=>5
[1,5,4,3,2]=>4
[2,1,3,4,5]=>6
[2,1,3,5,4]=>5
[2,1,4,3,5]=>4
[2,1,4,5,3]=>3
[2,1,5,3,4]=>4
[2,1,5,4,3]=>3
[2,3,1,4,5]=>3
[2,3,1,5,4]=>2
[2,3,4,1,5]=>1
[2,3,4,5,1]=>0
[2,3,5,1,4]=>1
[2,3,5,4,1]=>0
[2,4,1,3,5]=>3
[2,4,1,5,3]=>2
[2,4,3,1,5]=>1
[2,4,3,5,1]=>0
[2,4,5,1,3]=>1
[2,4,5,3,1]=>0
[2,5,1,3,4]=>2
[2,5,1,4,3]=>2
[2,5,3,1,4]=>1
[2,5,3,4,1]=>0
[2,5,4,1,3]=>1
[2,5,4,3,1]=>0
[3,1,2,4,5]=>6
[3,1,2,5,4]=>5
[3,1,4,2,5]=>4
[3,1,4,5,2]=>3
[3,1,5,2,4]=>4
[3,1,5,4,2]=>3
[3,2,1,4,5]=>3
[3,2,1,5,4]=>2
[3,2,4,1,5]=>1
[3,2,4,5,1]=>0
[3,2,5,1,4]=>1
[3,2,5,4,1]=>0
[3,4,1,2,5]=>3
[3,4,1,5,2]=>2
[3,4,2,1,5]=>1
[3,4,2,5,1]=>0
[3,4,5,1,2]=>1
[3,4,5,2,1]=>0
[3,5,1,2,4]=>2
[3,5,1,4,2]=>2
[3,5,2,1,4]=>1
[3,5,2,4,1]=>0
[3,5,4,1,2]=>1
[3,5,4,2,1]=>0
[4,1,2,3,5]=>4
[4,1,2,5,3]=>3
[4,1,3,2,5]=>4
[4,1,3,5,2]=>3
[4,1,5,2,3]=>3
[4,1,5,3,2]=>3
[4,2,1,3,5]=>3
[4,2,1,5,3]=>2
[4,2,3,1,5]=>1
[4,2,3,5,1]=>0
[4,2,5,1,3]=>1
[4,2,5,3,1]=>0
[4,3,1,2,5]=>3
[4,3,1,5,2]=>2
[4,3,2,1,5]=>1
[4,3,2,5,1]=>0
[4,3,5,1,2]=>1
[4,3,5,2,1]=>0
[4,5,1,2,3]=>2
[4,5,1,3,2]=>2
[4,5,2,1,3]=>1
[4,5,2,3,1]=>0
[4,5,3,1,2]=>1
[4,5,3,2,1]=>0
[5,1,2,3,4]=>4
[5,1,2,4,3]=>3
[5,1,3,2,4]=>4
[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]=>0
[5,2,4,1,3]=>1
[5,2,4,3,1]=>0
[5,3,1,2,4]=>2
[5,3,1,4,2]=>2
[5,3,2,1,4]=>1
[5,3,2,4,1]=>0
[5,3,4,1,2]=>1
[5,3,4,2,1]=>0
[5,4,1,2,3]=>2
[5,4,1,3,2]=>2
[5,4,2,1,3]=>1
[5,4,2,3,1]=>0
[5,4,3,1,2]=>1
[5,4,3,2,1]=>0
[1,2,3,4,5,6]=>15
[1,2,3,4,6,5]=>14
[1,2,3,5,4,6]=>13
[1,2,3,5,6,4]=>12
[1,2,3,6,4,5]=>13
[1,2,3,6,5,4]=>12
[1,2,4,3,5,6]=>12
[1,2,4,3,6,5]=>11
[1,2,4,5,3,6]=>10
[1,2,4,5,6,3]=>9
[1,2,4,6,3,5]=>10
[1,2,4,6,5,3]=>9
[1,2,5,3,4,6]=>12
[1,2,5,3,6,4]=>11
[1,2,5,4,3,6]=>10
[1,2,5,4,6,3]=>9
[1,2,5,6,3,4]=>10
[1,2,5,6,4,3]=>9
[1,2,6,3,4,5]=>11
[1,2,6,3,5,4]=>11
[1,2,6,4,3,5]=>10
[1,2,6,4,5,3]=>9
[1,2,6,5,3,4]=>10
[1,2,6,5,4,3]=>9
[1,3,2,4,5,6]=>11
[1,3,2,4,6,5]=>10
[1,3,2,5,4,6]=>9
[1,3,2,5,6,4]=>8
[1,3,2,6,4,5]=>9
[1,3,2,6,5,4]=>8
[1,3,4,2,5,6]=>8
[1,3,4,2,6,5]=>7
[1,3,4,5,2,6]=>6
[1,3,4,5,6,2]=>5
[1,3,4,6,2,5]=>6
[1,3,4,6,5,2]=>5
[1,3,5,2,4,6]=>8
[1,3,5,2,6,4]=>7
[1,3,5,4,2,6]=>6
[1,3,5,4,6,2]=>5
[1,3,5,6,2,4]=>6
[1,3,5,6,4,2]=>5
[1,3,6,2,4,5]=>7
[1,3,6,2,5,4]=>7
[1,3,6,4,2,5]=>6
[1,3,6,4,5,2]=>5
[1,3,6,5,2,4]=>6
[1,3,6,5,4,2]=>5
[1,4,2,3,5,6]=>11
[1,4,2,3,6,5]=>10
[1,4,2,5,3,6]=>9
[1,4,2,5,6,3]=>8
[1,4,2,6,3,5]=>9
[1,4,2,6,5,3]=>8
[1,4,3,2,5,6]=>8
[1,4,3,2,6,5]=>7
[1,4,3,5,2,6]=>6
[1,4,3,5,6,2]=>5
[1,4,3,6,2,5]=>6
[1,4,3,6,5,2]=>5
[1,4,5,2,3,6]=>8
[1,4,5,2,6,3]=>7
[1,4,5,3,2,6]=>6
[1,4,5,3,6,2]=>5
[1,4,5,6,2,3]=>6
[1,4,5,6,3,2]=>5
[1,4,6,2,3,5]=>7
[1,4,6,2,5,3]=>7
[1,4,6,3,2,5]=>6
[1,4,6,3,5,2]=>5
[1,4,6,5,2,3]=>6
[1,4,6,5,3,2]=>5
[1,5,2,3,4,6]=>9
[1,5,2,3,6,4]=>8
[1,5,2,4,3,6]=>9
[1,5,2,4,6,3]=>8
[1,5,2,6,3,4]=>8
[1,5,2,6,4,3]=>8
[1,5,3,2,4,6]=>8
[1,5,3,2,6,4]=>7
[1,5,3,4,2,6]=>6
[1,5,3,4,6,2]=>5
[1,5,3,6,2,4]=>6
[1,5,3,6,4,2]=>5
[1,5,4,2,3,6]=>8
[1,5,4,2,6,3]=>7
[1,5,4,3,2,6]=>6
[1,5,4,3,6,2]=>5
[1,5,4,6,2,3]=>6
[1,5,4,6,3,2]=>5
[1,5,6,2,3,4]=>7
[1,5,6,2,4,3]=>7
[1,5,6,3,2,4]=>6
[1,5,6,3,4,2]=>5
[1,5,6,4,2,3]=>6
[1,5,6,4,3,2]=>5
[1,6,2,3,4,5]=>9
[1,6,2,3,5,4]=>8
[1,6,2,4,3,5]=>9
[1,6,2,4,5,3]=>8
[1,6,2,5,3,4]=>8
[1,6,2,5,4,3]=>8
[1,6,3,2,4,5]=>7
[1,6,3,2,5,4]=>7
[1,6,3,4,2,5]=>6
[1,6,3,4,5,2]=>5
[1,6,3,5,2,4]=>6
[1,6,3,5,4,2]=>5
[1,6,4,2,3,5]=>7
[1,6,4,2,5,3]=>7
[1,6,4,3,2,5]=>6
[1,6,4,3,5,2]=>5
[1,6,4,5,2,3]=>6
[1,6,4,5,3,2]=>5
[1,6,5,2,3,4]=>7
[1,6,5,2,4,3]=>7
[1,6,5,3,2,4]=>6
[1,6,5,3,4,2]=>5
[1,6,5,4,2,3]=>6
[1,6,5,4,3,2]=>5
[2,1,3,4,5,6]=>10
[2,1,3,4,6,5]=>9
[2,1,3,5,4,6]=>8
[2,1,3,5,6,4]=>7
[2,1,3,6,4,5]=>8
[2,1,3,6,5,4]=>7
[2,1,4,3,5,6]=>7
[2,1,4,3,6,5]=>6
[2,1,4,5,3,6]=>5
[2,1,4,5,6,3]=>4
[2,1,4,6,3,5]=>5
[2,1,4,6,5,3]=>4
[2,1,5,3,4,6]=>7
[2,1,5,3,6,4]=>6
[2,1,5,4,3,6]=>5
[2,1,5,4,6,3]=>4
[2,1,5,6,3,4]=>5
[2,1,5,6,4,3]=>4
[2,1,6,3,4,5]=>6
[2,1,6,3,5,4]=>6
[2,1,6,4,3,5]=>5
[2,1,6,4,5,3]=>4
[2,1,6,5,3,4]=>5
[2,1,6,5,4,3]=>4
[2,3,1,4,5,6]=>6
[2,3,1,4,6,5]=>5
[2,3,1,5,4,6]=>4
[2,3,1,5,6,4]=>3
[2,3,1,6,4,5]=>4
[2,3,1,6,5,4]=>3
[2,3,4,1,5,6]=>3
[2,3,4,1,6,5]=>2
[2,3,4,5,1,6]=>1
[2,3,4,5,6,1]=>0
[2,3,4,6,1,5]=>1
[2,3,4,6,5,1]=>0
[2,3,5,1,4,6]=>3
[2,3,5,1,6,4]=>2
[2,3,5,4,1,6]=>1
[2,3,5,4,6,1]=>0
[2,3,5,6,1,4]=>1
[2,3,5,6,4,1]=>0
[2,3,6,1,4,5]=>2
[2,3,6,1,5,4]=>2
[2,3,6,4,1,5]=>1
[2,3,6,4,5,1]=>0
[2,3,6,5,1,4]=>1
[2,3,6,5,4,1]=>0
[2,4,1,3,5,6]=>6
[2,4,1,3,6,5]=>5
[2,4,1,5,3,6]=>4
[2,4,1,5,6,3]=>3
[2,4,1,6,3,5]=>4
[2,4,1,6,5,3]=>3
[2,4,3,1,5,6]=>3
[2,4,3,1,6,5]=>2
[2,4,3,5,1,6]=>1
[2,4,3,5,6,1]=>0
[2,4,3,6,1,5]=>1
[2,4,3,6,5,1]=>0
[2,4,5,1,3,6]=>3
[2,4,5,1,6,3]=>2
[2,4,5,3,1,6]=>1
[2,4,5,3,6,1]=>0
[2,4,5,6,1,3]=>1
[2,4,5,6,3,1]=>0
[2,4,6,1,3,5]=>2
[2,4,6,1,5,3]=>2
[2,4,6,3,1,5]=>1
[2,4,6,3,5,1]=>0
[2,4,6,5,1,3]=>1
[2,4,6,5,3,1]=>0
[2,5,1,3,4,6]=>4
[2,5,1,3,6,4]=>3
[2,5,1,4,3,6]=>4
[2,5,1,4,6,3]=>3
[2,5,1,6,3,4]=>3
[2,5,1,6,4,3]=>3
[2,5,3,1,4,6]=>3
[2,5,3,1,6,4]=>2
[2,5,3,4,1,6]=>1
[2,5,3,4,6,1]=>0
[2,5,3,6,1,4]=>1
[2,5,3,6,4,1]=>0
[2,5,4,1,3,6]=>3
[2,5,4,1,6,3]=>2
[2,5,4,3,1,6]=>1
[2,5,4,3,6,1]=>0
[2,5,4,6,1,3]=>1
[2,5,4,6,3,1]=>0
[2,5,6,1,3,4]=>2
[2,5,6,1,4,3]=>2
[2,5,6,3,1,4]=>1
[2,5,6,3,4,1]=>0
[2,5,6,4,1,3]=>1
[2,5,6,4,3,1]=>0
[2,6,1,3,4,5]=>4
[2,6,1,3,5,4]=>3
[2,6,1,4,3,5]=>4
[2,6,1,4,5,3]=>3
[2,6,1,5,3,4]=>3
[2,6,1,5,4,3]=>3
[2,6,3,1,4,5]=>2
[2,6,3,1,5,4]=>2
[2,6,3,4,1,5]=>1
[2,6,3,4,5,1]=>0
[2,6,3,5,1,4]=>1
[2,6,3,5,4,1]=>0
[2,6,4,1,3,5]=>2
[2,6,4,1,5,3]=>2
[2,6,4,3,1,5]=>1
[2,6,4,3,5,1]=>0
[2,6,4,5,1,3]=>1
[2,6,4,5,3,1]=>0
[2,6,5,1,3,4]=>2
[2,6,5,1,4,3]=>2
[2,6,5,3,1,4]=>1
[2,6,5,3,4,1]=>0
[2,6,5,4,1,3]=>1
[2,6,5,4,3,1]=>0
[3,1,2,4,5,6]=>10
[3,1,2,4,6,5]=>9
[3,1,2,5,4,6]=>8
[3,1,2,5,6,4]=>7
[3,1,2,6,4,5]=>8
[3,1,2,6,5,4]=>7
[3,1,4,2,5,6]=>7
[3,1,4,2,6,5]=>6
[3,1,4,5,2,6]=>5
[3,1,4,5,6,2]=>4
[3,1,4,6,2,5]=>5
[3,1,4,6,5,2]=>4
[3,1,5,2,4,6]=>7
[3,1,5,2,6,4]=>6
[3,1,5,4,2,6]=>5
[3,1,5,4,6,2]=>4
[3,1,5,6,2,4]=>5
[3,1,5,6,4,2]=>4
[3,1,6,2,4,5]=>6
[3,1,6,2,5,4]=>6
[3,1,6,4,2,5]=>5
[3,1,6,4,5,2]=>4
[3,1,6,5,2,4]=>5
[3,1,6,5,4,2]=>4
[3,2,1,4,5,6]=>6
[3,2,1,4,6,5]=>5
[3,2,1,5,4,6]=>4
[3,2,1,5,6,4]=>3
[3,2,1,6,4,5]=>4
[3,2,1,6,5,4]=>3
[3,2,4,1,5,6]=>3
[3,2,4,1,6,5]=>2
[3,2,4,5,1,6]=>1
[3,2,4,5,6,1]=>0
[3,2,4,6,1,5]=>1
[3,2,4,6,5,1]=>0
[3,2,5,1,4,6]=>3
[3,2,5,1,6,4]=>2
[3,2,5,4,1,6]=>1
[3,2,5,4,6,1]=>0
[3,2,5,6,1,4]=>1
[3,2,5,6,4,1]=>0
[3,2,6,1,4,5]=>2
[3,2,6,1,5,4]=>2
[3,2,6,4,1,5]=>1
[3,2,6,4,5,1]=>0
[3,2,6,5,1,4]=>1
[3,2,6,5,4,1]=>0
[3,4,1,2,5,6]=>6
[3,4,1,2,6,5]=>5
[3,4,1,5,2,6]=>4
[3,4,1,5,6,2]=>3
[3,4,1,6,2,5]=>4
[3,4,1,6,5,2]=>3
[3,4,2,1,5,6]=>3
[3,4,2,1,6,5]=>2
[3,4,2,5,1,6]=>1
[3,4,2,5,6,1]=>0
[3,4,2,6,1,5]=>1
[3,4,2,6,5,1]=>0
[3,4,5,1,2,6]=>3
[3,4,5,1,6,2]=>2
[3,4,5,2,1,6]=>1
[3,4,5,2,6,1]=>0
[3,4,5,6,1,2]=>1
[3,4,5,6,2,1]=>0
[3,4,6,1,2,5]=>2
[3,4,6,1,5,2]=>2
[3,4,6,2,1,5]=>1
[3,4,6,2,5,1]=>0
[3,4,6,5,1,2]=>1
[3,4,6,5,2,1]=>0
[3,5,1,2,4,6]=>4
[3,5,1,2,6,4]=>3
[3,5,1,4,2,6]=>4
[3,5,1,4,6,2]=>3
[3,5,1,6,2,4]=>3
[3,5,1,6,4,2]=>3
[3,5,2,1,4,6]=>3
[3,5,2,1,6,4]=>2
[3,5,2,4,1,6]=>1
[3,5,2,4,6,1]=>0
[3,5,2,6,1,4]=>1
[3,5,2,6,4,1]=>0
[3,5,4,1,2,6]=>3
[3,5,4,1,6,2]=>2
[3,5,4,2,1,6]=>1
[3,5,4,2,6,1]=>0
[3,5,4,6,1,2]=>1
[3,5,4,6,2,1]=>0
[3,5,6,1,2,4]=>2
[3,5,6,1,4,2]=>2
[3,5,6,2,1,4]=>1
[3,5,6,2,4,1]=>0
[3,5,6,4,1,2]=>1
[3,5,6,4,2,1]=>0
[3,6,1,2,4,5]=>4
[3,6,1,2,5,4]=>3
[3,6,1,4,2,5]=>4
[3,6,1,4,5,2]=>3
[3,6,1,5,2,4]=>3
[3,6,1,5,4,2]=>3
[3,6,2,1,4,5]=>2
[3,6,2,1,5,4]=>2
[3,6,2,4,1,5]=>1
[3,6,2,4,5,1]=>0
[3,6,2,5,1,4]=>1
[3,6,2,5,4,1]=>0
[3,6,4,1,2,5]=>2
[3,6,4,1,5,2]=>2
[3,6,4,2,1,5]=>1
[3,6,4,2,5,1]=>0
[3,6,4,5,1,2]=>1
[3,6,4,5,2,1]=>0
[3,6,5,1,2,4]=>2
[3,6,5,1,4,2]=>2
[3,6,5,2,1,4]=>1
[3,6,5,2,4,1]=>0
[3,6,5,4,1,2]=>1
[3,6,5,4,2,1]=>0
[4,1,2,3,5,6]=>7
[4,1,2,3,6,5]=>6
[4,1,2,5,3,6]=>5
[4,1,2,5,6,3]=>4
[4,1,2,6,3,5]=>5
[4,1,2,6,5,3]=>4
[4,1,3,2,5,6]=>7
[4,1,3,2,6,5]=>6
[4,1,3,5,2,6]=>5
[4,1,3,5,6,2]=>4
[4,1,3,6,2,5]=>5
[4,1,3,6,5,2]=>4
[4,1,5,2,3,6]=>5
[4,1,5,2,6,3]=>4
[4,1,5,3,2,6]=>5
[4,1,5,3,6,2]=>4
[4,1,5,6,2,3]=>4
[4,1,5,6,3,2]=>4
[4,1,6,2,3,5]=>5
[4,1,6,2,5,3]=>4
[4,1,6,3,2,5]=>5
[4,1,6,3,5,2]=>4
[4,1,6,5,2,3]=>4
[4,1,6,5,3,2]=>4
[4,2,1,3,5,6]=>6
[4,2,1,3,6,5]=>5
[4,2,1,5,3,6]=>4
[4,2,1,5,6,3]=>3
[4,2,1,6,3,5]=>4
[4,2,1,6,5,3]=>3
[4,2,3,1,5,6]=>3
[4,2,3,1,6,5]=>2
[4,2,3,5,1,6]=>1
[4,2,3,5,6,1]=>0
[4,2,3,6,1,5]=>1
[4,2,3,6,5,1]=>0
[4,2,5,1,3,6]=>3
[4,2,5,1,6,3]=>2
[4,2,5,3,1,6]=>1
[4,2,5,3,6,1]=>0
[4,2,5,6,1,3]=>1
[4,2,5,6,3,1]=>0
[4,2,6,1,3,5]=>2
[4,2,6,1,5,3]=>2
[4,2,6,3,1,5]=>1
[4,2,6,3,5,1]=>0
[4,2,6,5,1,3]=>1
[4,2,6,5,3,1]=>0
[4,3,1,2,5,6]=>6
[4,3,1,2,6,5]=>5
[4,3,1,5,2,6]=>4
[4,3,1,5,6,2]=>3
[4,3,1,6,2,5]=>4
[4,3,1,6,5,2]=>3
[4,3,2,1,5,6]=>3
[4,3,2,1,6,5]=>2
[4,3,2,5,1,6]=>1
[4,3,2,5,6,1]=>0
[4,3,2,6,1,5]=>1
[4,3,2,6,5,1]=>0
[4,3,5,1,2,6]=>3
[4,3,5,1,6,2]=>2
[4,3,5,2,1,6]=>1
[4,3,5,2,6,1]=>0
[4,3,5,6,1,2]=>1
[4,3,5,6,2,1]=>0
[4,3,6,1,2,5]=>2
[4,3,6,1,5,2]=>2
[4,3,6,2,1,5]=>1
[4,3,6,2,5,1]=>0
[4,3,6,5,1,2]=>1
[4,3,6,5,2,1]=>0
[4,5,1,2,3,6]=>4
[4,5,1,2,6,3]=>3
[4,5,1,3,2,6]=>4
[4,5,1,3,6,2]=>3
[4,5,1,6,2,3]=>3
[4,5,1,6,3,2]=>3
[4,5,2,1,3,6]=>3
[4,5,2,1,6,3]=>2
[4,5,2,3,1,6]=>1
[4,5,2,3,6,1]=>0
[4,5,2,6,1,3]=>1
[4,5,2,6,3,1]=>0
[4,5,3,1,2,6]=>3
[4,5,3,1,6,2]=>2
[4,5,3,2,1,6]=>1
[4,5,3,2,6,1]=>0
[4,5,3,6,1,2]=>1
[4,5,3,6,2,1]=>0
[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]=>0
[4,5,6,3,1,2]=>1
[4,5,6,3,2,1]=>0
[4,6,1,2,3,5]=>4
[4,6,1,2,5,3]=>3
[4,6,1,3,2,5]=>4
[4,6,1,3,5,2]=>3
[4,6,1,5,2,3]=>3
[4,6,1,5,3,2]=>3
[4,6,2,1,3,5]=>2
[4,6,2,1,5,3]=>2
[4,6,2,3,1,5]=>1
[4,6,2,3,5,1]=>0
[4,6,2,5,1,3]=>1
[4,6,2,5,3,1]=>0
[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]=>0
[4,6,3,5,1,2]=>1
[4,6,3,5,2,1]=>0
[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]=>0
[4,6,5,3,1,2]=>1
[4,6,5,3,2,1]=>0
[5,1,2,3,4,6]=>7
[5,1,2,3,6,4]=>6
[5,1,2,4,3,6]=>5
[5,1,2,4,6,3]=>4
[5,1,2,6,3,4]=>5
[5,1,2,6,4,3]=>4
[5,1,3,2,4,6]=>7
[5,1,3,2,6,4]=>6
[5,1,3,4,2,6]=>5
[5,1,3,4,6,2]=>4
[5,1,3,6,2,4]=>5
[5,1,3,6,4,2]=>4
[5,1,4,2,3,6]=>5
[5,1,4,2,6,3]=>4
[5,1,4,3,2,6]=>5
[5,1,4,3,6,2]=>4
[5,1,4,6,2,3]=>4
[5,1,4,6,3,2]=>4
[5,1,6,2,3,4]=>5
[5,1,6,2,4,3]=>4
[5,1,6,3,2,4]=>5
[5,1,6,3,4,2]=>4
[5,1,6,4,2,3]=>4
[5,1,6,4,3,2]=>4
[5,2,1,3,4,6]=>4
[5,2,1,3,6,4]=>3
[5,2,1,4,3,6]=>4
[5,2,1,4,6,3]=>3
[5,2,1,6,3,4]=>3
[5,2,1,6,4,3]=>3
[5,2,3,1,4,6]=>3
[5,2,3,1,6,4]=>2
[5,2,3,4,1,6]=>1
[5,2,3,4,6,1]=>0
[5,2,3,6,1,4]=>1
[5,2,3,6,4,1]=>0
[5,2,4,1,3,6]=>3
[5,2,4,1,6,3]=>2
[5,2,4,3,1,6]=>1
[5,2,4,3,6,1]=>0
[5,2,4,6,1,3]=>1
[5,2,4,6,3,1]=>0
[5,2,6,1,3,4]=>2
[5,2,6,1,4,3]=>2
[5,2,6,3,1,4]=>1
[5,2,6,3,4,1]=>0
[5,2,6,4,1,3]=>1
[5,2,6,4,3,1]=>0
[5,3,1,2,4,6]=>4
[5,3,1,2,6,4]=>3
[5,3,1,4,2,6]=>4
[5,3,1,4,6,2]=>3
[5,3,1,6,2,4]=>3
[5,3,1,6,4,2]=>3
[5,3,2,1,4,6]=>3
[5,3,2,1,6,4]=>2
[5,3,2,4,1,6]=>1
[5,3,2,4,6,1]=>0
[5,3,2,6,1,4]=>1
[5,3,2,6,4,1]=>0
[5,3,4,1,2,6]=>3
[5,3,4,1,6,2]=>2
[5,3,4,2,1,6]=>1
[5,3,4,2,6,1]=>0
[5,3,4,6,1,2]=>1
[5,3,4,6,2,1]=>0
[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]=>0
[5,3,6,4,1,2]=>1
[5,3,6,4,2,1]=>0
[5,4,1,2,3,6]=>4
[5,4,1,2,6,3]=>3
[5,4,1,3,2,6]=>4
[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]=>3
[5,4,2,1,6,3]=>2
[5,4,2,3,1,6]=>1
[5,4,2,3,6,1]=>0
[5,4,2,6,1,3]=>1
[5,4,2,6,3,1]=>0
[5,4,3,1,2,6]=>3
[5,4,3,1,6,2]=>2
[5,4,3,2,1,6]=>1
[5,4,3,2,6,1]=>0
[5,4,3,6,1,2]=>1
[5,4,3,6,2,1]=>0
[5,4,6,1,2,3]=>2
[5,4,6,1,3,2]=>2
[5,4,6,2,1,3]=>1
[5,4,6,2,3,1]=>0
[5,4,6,3,1,2]=>1
[5,4,6,3,2,1]=>0
[5,6,1,2,3,4]=>3
[5,6,1,2,4,3]=>3
[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]=>0
[5,6,2,4,1,3]=>1
[5,6,2,4,3,1]=>0
[5,6,3,1,2,4]=>2
[5,6,3,1,4,2]=>2
[5,6,3,2,1,4]=>1
[5,6,3,2,4,1]=>0
[5,6,3,4,1,2]=>1
[5,6,3,4,2,1]=>0
[5,6,4,1,2,3]=>2
[5,6,4,1,3,2]=>2
[5,6,4,2,1,3]=>1
[5,6,4,2,3,1]=>0
[5,6,4,3,1,2]=>1
[5,6,4,3,2,1]=>0
[6,1,2,3,4,5]=>6
[6,1,2,3,5,4]=>6
[6,1,2,4,3,5]=>5
[6,1,2,4,5,3]=>4
[6,1,2,5,3,4]=>5
[6,1,2,5,4,3]=>4
[6,1,3,2,4,5]=>6
[6,1,3,2,5,4]=>6
[6,1,3,4,2,5]=>5
[6,1,3,4,5,2]=>4
[6,1,3,5,2,4]=>5
[6,1,3,5,4,2]=>4
[6,1,4,2,3,5]=>5
[6,1,4,2,5,3]=>4
[6,1,4,3,2,5]=>5
[6,1,4,3,5,2]=>4
[6,1,4,5,2,3]=>4
[6,1,4,5,3,2]=>4
[6,1,5,2,3,4]=>5
[6,1,5,2,4,3]=>4
[6,1,5,3,2,4]=>5
[6,1,5,3,4,2]=>4
[6,1,5,4,2,3]=>4
[6,1,5,4,3,2]=>4
[6,2,1,3,4,5]=>4
[6,2,1,3,5,4]=>3
[6,2,1,4,3,5]=>4
[6,2,1,4,5,3]=>3
[6,2,1,5,3,4]=>3
[6,2,1,5,4,3]=>3
[6,2,3,1,4,5]=>2
[6,2,3,1,5,4]=>2
[6,2,3,4,1,5]=>1
[6,2,3,4,5,1]=>0
[6,2,3,5,1,4]=>1
[6,2,3,5,4,1]=>0
[6,2,4,1,3,5]=>2
[6,2,4,1,5,3]=>2
[6,2,4,3,1,5]=>1
[6,2,4,3,5,1]=>0
[6,2,4,5,1,3]=>1
[6,2,4,5,3,1]=>0
[6,2,5,1,3,4]=>2
[6,2,5,1,4,3]=>2
[6,2,5,3,1,4]=>1
[6,2,5,3,4,1]=>0
[6,2,5,4,1,3]=>1
[6,2,5,4,3,1]=>0
[6,3,1,2,4,5]=>4
[6,3,1,2,5,4]=>3
[6,3,1,4,2,5]=>4
[6,3,1,4,5,2]=>3
[6,3,1,5,2,4]=>3
[6,3,1,5,4,2]=>3
[6,3,2,1,4,5]=>2
[6,3,2,1,5,4]=>2
[6,3,2,4,1,5]=>1
[6,3,2,4,5,1]=>0
[6,3,2,5,1,4]=>1
[6,3,2,5,4,1]=>0
[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]=>0
[6,3,4,5,1,2]=>1
[6,3,4,5,2,1]=>0
[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]=>0
[6,3,5,4,1,2]=>1
[6,3,5,4,2,1]=>0
[6,4,1,2,3,5]=>4
[6,4,1,2,5,3]=>3
[6,4,1,3,2,5]=>4
[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]=>0
[6,4,2,5,1,3]=>1
[6,4,2,5,3,1]=>0
[6,4,3,1,2,5]=>2
[6,4,3,1,5,2]=>2
[6,4,3,2,1,5]=>1
[6,4,3,2,5,1]=>0
[6,4,3,5,1,2]=>1
[6,4,3,5,2,1]=>0
[6,4,5,1,2,3]=>2
[6,4,5,1,3,2]=>2
[6,4,5,2,1,3]=>1
[6,4,5,2,3,1]=>0
[6,4,5,3,1,2]=>1
[6,4,5,3,2,1]=>0
[6,5,1,2,3,4]=>3
[6,5,1,2,4,3]=>3
[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]=>0
[6,5,2,4,1,3]=>1
[6,5,2,4,3,1]=>0
[6,5,3,1,2,4]=>2
[6,5,3,1,4,2]=>2
[6,5,3,2,1,4]=>1
[6,5,3,2,4,1]=>0
[6,5,3,4,1,2]=>1
[6,5,3,4,2,1]=>0
[6,5,4,1,2,3]=>2
[6,5,4,1,3,2]=>2
[6,5,4,2,1,3]=>1
[6,5,4,2,3,1]=>0
[6,5,4,3,1,2]=>1
[6,5,4,3,2,1]=>0
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Description
The "bounce" of a permutation.
Code
def statistic(w):
n = len(w)
v = w.inverse()
bounces = [v[0]]
while bounces[-1] < n:
bounces.append(max(v[:bounces[-1] + 1]))
return sum([n - i for i in bounces])
Created
Jun 19, 2013 at 15:40 by Sam Clearman
Updated
Mar 28, 2015 at 22:46 by Martin Rubey
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