Identifier
- St001519: Permutations ⟶ ℤ
Values
=>
[1]=>0
[1,2]=>0
[2,1]=>0
[1,2,3]=>0
[1,3,2]=>3
[2,1,3]=>0
[2,3,1]=>3
[3,1,2]=>0
[3,2,1]=>0
[1,2,3,4]=>0
[1,2,4,3]=>4
[1,3,2,4]=>3
[1,3,4,2]=>4
[1,4,2,3]=>4
[1,4,3,2]=>4
[2,1,3,4]=>0
[2,1,4,3]=>4
[2,3,1,4]=>3
[2,3,4,1]=>4
[2,4,1,3]=>4
[2,4,3,1]=>4
[3,1,2,4]=>0
[3,1,4,2]=>4
[3,2,1,4]=>0
[3,2,4,1]=>4
[3,4,1,2]=>4
[3,4,2,1]=>4
[4,1,2,3]=>0
[4,1,3,2]=>3
[4,2,1,3]=>0
[4,2,3,1]=>3
[4,3,1,2]=>0
[4,3,2,1]=>0
[1,2,3,4,5]=>0
[1,2,3,5,4]=>5
[1,2,4,3,5]=>4
[1,2,4,5,3]=>5
[1,2,5,3,4]=>5
[1,2,5,4,3]=>5
[1,3,2,4,5]=>3
[1,3,2,5,4]=>8
[1,3,4,2,5]=>4
[1,3,4,5,2]=>5
[1,3,5,2,4]=>5
[1,3,5,4,2]=>5
[1,4,2,3,5]=>4
[1,4,2,5,3]=>9
[1,4,3,2,5]=>4
[1,4,3,5,2]=>9
[1,4,5,2,3]=>5
[1,4,5,3,2]=>5
[1,5,2,3,4]=>5
[1,5,2,4,3]=>9
[1,5,3,2,4]=>5
[1,5,3,4,2]=>9
[1,5,4,2,3]=>5
[1,5,4,3,2]=>5
[2,1,3,4,5]=>0
[2,1,3,5,4]=>5
[2,1,4,3,5]=>4
[2,1,4,5,3]=>5
[2,1,5,3,4]=>5
[2,1,5,4,3]=>5
[2,3,1,4,5]=>3
[2,3,1,5,4]=>8
[2,3,4,1,5]=>4
[2,3,4,5,1]=>5
[2,3,5,1,4]=>5
[2,3,5,4,1]=>5
[2,4,1,3,5]=>4
[2,4,1,5,3]=>9
[2,4,3,1,5]=>4
[2,4,3,5,1]=>9
[2,4,5,1,3]=>5
[2,4,5,3,1]=>5
[2,5,1,3,4]=>5
[2,5,1,4,3]=>9
[2,5,3,1,4]=>5
[2,5,3,4,1]=>9
[2,5,4,1,3]=>5
[2,5,4,3,1]=>5
[3,1,2,4,5]=>0
[3,1,2,5,4]=>5
[3,1,4,2,5]=>4
[3,1,4,5,2]=>5
[3,1,5,2,4]=>5
[3,1,5,4,2]=>5
[3,2,1,4,5]=>0
[3,2,1,5,4]=>5
[3,2,4,1,5]=>4
[3,2,4,5,1]=>5
[3,2,5,1,4]=>5
[3,2,5,4,1]=>5
[3,4,1,2,5]=>4
[3,4,1,5,2]=>9
[3,4,2,1,5]=>4
[3,4,2,5,1]=>9
[3,4,5,1,2]=>5
[3,4,5,2,1]=>5
[3,5,1,2,4]=>5
[3,5,1,4,2]=>9
[3,5,2,1,4]=>5
[3,5,2,4,1]=>9
[3,5,4,1,2]=>5
[3,5,4,2,1]=>5
[4,1,2,3,5]=>0
[4,1,2,5,3]=>5
[4,1,3,2,5]=>3
[4,1,3,5,2]=>5
[4,1,5,2,3]=>5
[4,1,5,3,2]=>5
[4,2,1,3,5]=>0
[4,2,1,5,3]=>5
[4,2,3,1,5]=>3
[4,2,3,5,1]=>5
[4,2,5,1,3]=>5
[4,2,5,3,1]=>5
[4,3,1,2,5]=>0
[4,3,1,5,2]=>5
[4,3,2,1,5]=>0
[4,3,2,5,1]=>5
[4,3,5,1,2]=>5
[4,3,5,2,1]=>5
[4,5,1,2,3]=>5
[4,5,1,3,2]=>8
[4,5,2,1,3]=>5
[4,5,2,3,1]=>8
[4,5,3,1,2]=>5
[4,5,3,2,1]=>5
[5,1,2,3,4]=>0
[5,1,2,4,3]=>4
[5,1,3,2,4]=>3
[5,1,3,4,2]=>4
[5,1,4,2,3]=>4
[5,1,4,3,2]=>4
[5,2,1,3,4]=>0
[5,2,1,4,3]=>4
[5,2,3,1,4]=>3
[5,2,3,4,1]=>4
[5,2,4,1,3]=>4
[5,2,4,3,1]=>4
[5,3,1,2,4]=>0
[5,3,1,4,2]=>4
[5,3,2,1,4]=>0
[5,3,2,4,1]=>4
[5,3,4,1,2]=>4
[5,3,4,2,1]=>4
[5,4,1,2,3]=>0
[5,4,1,3,2]=>3
[5,4,2,1,3]=>0
[5,4,2,3,1]=>3
[5,4,3,1,2]=>0
[5,4,3,2,1]=>0
[1,2,3,4,5,6]=>0
[1,2,3,4,6,5]=>6
[1,2,3,5,4,6]=>5
[1,2,3,5,6,4]=>6
[1,2,3,6,4,5]=>6
[1,2,3,6,5,4]=>6
[1,2,4,3,5,6]=>4
[1,2,4,3,6,5]=>10
[1,2,4,5,3,6]=>5
[1,2,4,5,6,3]=>6
[1,2,4,6,3,5]=>6
[1,2,4,6,5,3]=>6
[1,2,5,3,4,6]=>5
[1,2,5,3,6,4]=>11
[1,2,5,4,3,6]=>5
[1,2,5,4,6,3]=>11
[1,2,5,6,3,4]=>6
[1,2,5,6,4,3]=>6
[1,2,6,3,4,5]=>6
[1,2,6,3,5,4]=>11
[1,2,6,4,3,5]=>6
[1,2,6,4,5,3]=>11
[1,2,6,5,3,4]=>6
[1,2,6,5,4,3]=>6
[1,3,2,4,5,6]=>3
[1,3,2,4,6,5]=>9
[1,3,2,5,4,6]=>8
[1,3,2,5,6,4]=>9
[1,3,2,6,4,5]=>9
[1,3,2,6,5,4]=>9
[1,3,4,2,5,6]=>4
[1,3,4,2,6,5]=>10
[1,3,4,5,2,6]=>5
[1,3,4,5,6,2]=>6
[1,3,4,6,2,5]=>6
[1,3,4,6,5,2]=>6
[1,3,5,2,4,6]=>5
[1,3,5,2,6,4]=>11
[1,3,5,4,2,6]=>5
[1,3,5,4,6,2]=>11
[1,3,5,6,2,4]=>6
[1,3,5,6,4,2]=>6
[1,3,6,2,4,5]=>6
[1,3,6,2,5,4]=>11
[1,3,6,4,2,5]=>6
[1,3,6,4,5,2]=>11
[1,3,6,5,2,4]=>6
[1,3,6,5,4,2]=>6
[1,4,2,3,5,6]=>4
[1,4,2,3,6,5]=>10
[1,4,2,5,3,6]=>9
[1,4,2,5,6,3]=>10
[1,4,2,6,3,5]=>10
[1,4,2,6,5,3]=>10
[1,4,3,2,5,6]=>4
[1,4,3,2,6,5]=>10
[1,4,3,5,2,6]=>9
[1,4,3,5,6,2]=>10
[1,4,3,6,2,5]=>10
[1,4,3,6,5,2]=>10
[1,4,5,2,3,6]=>5
[1,4,5,2,6,3]=>11
[1,4,5,3,2,6]=>5
[1,4,5,3,6,2]=>11
[1,4,5,6,2,3]=>6
[1,4,5,6,3,2]=>6
[1,4,6,2,3,5]=>6
[1,4,6,2,5,3]=>11
[1,4,6,3,2,5]=>6
[1,4,6,3,5,2]=>11
[1,4,6,5,2,3]=>6
[1,4,6,5,3,2]=>6
[1,5,2,3,4,6]=>5
[1,5,2,3,6,4]=>11
[1,5,2,4,3,6]=>9
[1,5,2,4,6,3]=>11
[1,5,2,6,3,4]=>11
[1,5,2,6,4,3]=>11
[1,5,3,2,4,6]=>5
[1,5,3,2,6,4]=>11
[1,5,3,4,2,6]=>9
[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]=>5
[1,5,4,2,6,3]=>11
[1,5,4,3,2,6]=>5
[1,5,4,3,6,2]=>11
[1,5,4,6,2,3]=>11
[1,5,4,6,3,2]=>11
[1,5,6,2,3,4]=>6
[1,5,6,2,4,3]=>10
[1,5,6,3,2,4]=>6
[1,5,6,3,4,2]=>10
[1,5,6,4,2,3]=>6
[1,5,6,4,3,2]=>6
[1,6,2,3,4,5]=>6
[1,6,2,3,5,4]=>11
[1,6,2,4,3,5]=>10
[1,6,2,4,5,3]=>11
[1,6,2,5,3,4]=>11
[1,6,2,5,4,3]=>11
[1,6,3,2,4,5]=>6
[1,6,3,2,5,4]=>11
[1,6,3,4,2,5]=>10
[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]=>6
[1,6,4,2,5,3]=>11
[1,6,4,3,2,5]=>6
[1,6,4,3,5,2]=>11
[1,6,4,5,2,3]=>11
[1,6,4,5,3,2]=>11
[1,6,5,2,3,4]=>6
[1,6,5,2,4,3]=>10
[1,6,5,3,2,4]=>6
[1,6,5,3,4,2]=>10
[1,6,5,4,2,3]=>6
[1,6,5,4,3,2]=>6
[2,1,3,4,5,6]=>0
[2,1,3,4,6,5]=>6
[2,1,3,5,4,6]=>5
[2,1,3,5,6,4]=>6
[2,1,3,6,4,5]=>6
[2,1,3,6,5,4]=>6
[2,1,4,3,5,6]=>4
[2,1,4,3,6,5]=>10
[2,1,4,5,3,6]=>5
[2,1,4,5,6,3]=>6
[2,1,4,6,3,5]=>6
[2,1,4,6,5,3]=>6
[2,1,5,3,4,6]=>5
[2,1,5,3,6,4]=>11
[2,1,5,4,3,6]=>5
[2,1,5,4,6,3]=>11
[2,1,5,6,3,4]=>6
[2,1,5,6,4,3]=>6
[2,1,6,3,4,5]=>6
[2,1,6,3,5,4]=>11
[2,1,6,4,3,5]=>6
[2,1,6,4,5,3]=>11
[2,1,6,5,3,4]=>6
[2,1,6,5,4,3]=>6
[2,3,1,4,5,6]=>3
[2,3,1,4,6,5]=>9
[2,3,1,5,4,6]=>8
[2,3,1,5,6,4]=>9
[2,3,1,6,4,5]=>9
[2,3,1,6,5,4]=>9
[2,3,4,1,5,6]=>4
[2,3,4,1,6,5]=>10
[2,3,4,5,1,6]=>5
[2,3,4,5,6,1]=>6
[2,3,4,6,1,5]=>6
[2,3,4,6,5,1]=>6
[2,3,5,1,4,6]=>5
[2,3,5,1,6,4]=>11
[2,3,5,4,1,6]=>5
[2,3,5,4,6,1]=>11
[2,3,5,6,1,4]=>6
[2,3,5,6,4,1]=>6
[2,3,6,1,4,5]=>6
[2,3,6,1,5,4]=>11
[2,3,6,4,1,5]=>6
[2,3,6,4,5,1]=>11
[2,3,6,5,1,4]=>6
[2,3,6,5,4,1]=>6
[2,4,1,3,5,6]=>4
[2,4,1,3,6,5]=>10
[2,4,1,5,3,6]=>9
[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]=>4
[2,4,3,1,6,5]=>10
[2,4,3,5,1,6]=>9
[2,4,3,5,6,1]=>10
[2,4,3,6,1,5]=>10
[2,4,3,6,5,1]=>10
[2,4,5,1,3,6]=>5
[2,4,5,1,6,3]=>11
[2,4,5,3,1,6]=>5
[2,4,5,3,6,1]=>11
[2,4,5,6,1,3]=>6
[2,4,5,6,3,1]=>6
[2,4,6,1,3,5]=>6
[2,4,6,1,5,3]=>11
[2,4,6,3,1,5]=>6
[2,4,6,3,5,1]=>11
[2,4,6,5,1,3]=>6
[2,4,6,5,3,1]=>6
[2,5,1,3,4,6]=>5
[2,5,1,3,6,4]=>11
[2,5,1,4,3,6]=>9
[2,5,1,4,6,3]=>11
[2,5,1,6,3,4]=>11
[2,5,1,6,4,3]=>11
[2,5,3,1,4,6]=>5
[2,5,3,1,6,4]=>11
[2,5,3,4,1,6]=>9
[2,5,3,4,6,1]=>11
[2,5,3,6,1,4]=>11
[2,5,3,6,4,1]=>11
[2,5,4,1,3,6]=>5
[2,5,4,1,6,3]=>11
[2,5,4,3,1,6]=>5
[2,5,4,3,6,1]=>11
[2,5,4,6,1,3]=>11
[2,5,4,6,3,1]=>11
[2,5,6,1,3,4]=>6
[2,5,6,1,4,3]=>10
[2,5,6,3,1,4]=>6
[2,5,6,3,4,1]=>10
[2,5,6,4,1,3]=>6
[2,5,6,4,3,1]=>6
[2,6,1,3,4,5]=>6
[2,6,1,3,5,4]=>11
[2,6,1,4,3,5]=>10
[2,6,1,4,5,3]=>11
[2,6,1,5,3,4]=>11
[2,6,1,5,4,3]=>11
[2,6,3,1,4,5]=>6
[2,6,3,1,5,4]=>11
[2,6,3,4,1,5]=>10
[2,6,3,4,5,1]=>11
[2,6,3,5,1,4]=>11
[2,6,3,5,4,1]=>11
[2,6,4,1,3,5]=>6
[2,6,4,1,5,3]=>11
[2,6,4,3,1,5]=>6
[2,6,4,3,5,1]=>11
[2,6,4,5,1,3]=>11
[2,6,4,5,3,1]=>11
[2,6,5,1,3,4]=>6
[2,6,5,1,4,3]=>10
[2,6,5,3,1,4]=>6
[2,6,5,3,4,1]=>10
[2,6,5,4,1,3]=>6
[2,6,5,4,3,1]=>6
[3,1,2,4,5,6]=>0
[3,1,2,4,6,5]=>6
[3,1,2,5,4,6]=>5
[3,1,2,5,6,4]=>6
[3,1,2,6,4,5]=>6
[3,1,2,6,5,4]=>6
[3,1,4,2,5,6]=>4
[3,1,4,2,6,5]=>10
[3,1,4,5,2,6]=>5
[3,1,4,5,6,2]=>6
[3,1,4,6,2,5]=>6
[3,1,4,6,5,2]=>6
[3,1,5,2,4,6]=>5
[3,1,5,2,6,4]=>11
[3,1,5,4,2,6]=>5
[3,1,5,4,6,2]=>11
[3,1,5,6,2,4]=>6
[3,1,5,6,4,2]=>6
[3,1,6,2,4,5]=>6
[3,1,6,2,5,4]=>11
[3,1,6,4,2,5]=>6
[3,1,6,4,5,2]=>11
[3,1,6,5,2,4]=>6
[3,1,6,5,4,2]=>6
[3,2,1,4,5,6]=>0
[3,2,1,4,6,5]=>6
[3,2,1,5,4,6]=>5
[3,2,1,5,6,4]=>6
[3,2,1,6,4,5]=>6
[3,2,1,6,5,4]=>6
[3,2,4,1,5,6]=>4
[3,2,4,1,6,5]=>10
[3,2,4,5,1,6]=>5
[3,2,4,5,6,1]=>6
[3,2,4,6,1,5]=>6
[3,2,4,6,5,1]=>6
[3,2,5,1,4,6]=>5
[3,2,5,1,6,4]=>11
[3,2,5,4,1,6]=>5
[3,2,5,4,6,1]=>11
[3,2,5,6,1,4]=>6
[3,2,5,6,4,1]=>6
[3,2,6,1,4,5]=>6
[3,2,6,1,5,4]=>11
[3,2,6,4,1,5]=>6
[3,2,6,4,5,1]=>11
[3,2,6,5,1,4]=>6
[3,2,6,5,4,1]=>6
[3,4,1,2,5,6]=>4
[3,4,1,2,6,5]=>10
[3,4,1,5,2,6]=>9
[3,4,1,5,6,2]=>10
[3,4,1,6,2,5]=>10
[3,4,1,6,5,2]=>10
[3,4,2,1,5,6]=>4
[3,4,2,1,6,5]=>10
[3,4,2,5,1,6]=>9
[3,4,2,5,6,1]=>10
[3,4,2,6,1,5]=>10
[3,4,2,6,5,1]=>10
[3,4,5,1,2,6]=>5
[3,4,5,1,6,2]=>11
[3,4,5,2,1,6]=>5
[3,4,5,2,6,1]=>11
[3,4,5,6,1,2]=>6
[3,4,5,6,2,1]=>6
[3,4,6,1,2,5]=>6
[3,4,6,1,5,2]=>11
[3,4,6,2,1,5]=>6
[3,4,6,2,5,1]=>11
[3,4,6,5,1,2]=>6
[3,4,6,5,2,1]=>6
[3,5,1,2,4,6]=>5
[3,5,1,2,6,4]=>11
[3,5,1,4,2,6]=>9
[3,5,1,4,6,2]=>11
[3,5,1,6,2,4]=>11
[3,5,1,6,4,2]=>11
[3,5,2,1,4,6]=>5
[3,5,2,1,6,4]=>11
[3,5,2,4,1,6]=>9
[3,5,2,4,6,1]=>11
[3,5,2,6,1,4]=>11
[3,5,2,6,4,1]=>11
[3,5,4,1,2,6]=>5
[3,5,4,1,6,2]=>11
[3,5,4,2,1,6]=>5
[3,5,4,2,6,1]=>11
[3,5,4,6,1,2]=>11
[3,5,4,6,2,1]=>11
[3,5,6,1,2,4]=>6
[3,5,6,1,4,2]=>10
[3,5,6,2,1,4]=>6
[3,5,6,2,4,1]=>10
[3,5,6,4,1,2]=>6
[3,5,6,4,2,1]=>6
[3,6,1,2,4,5]=>6
[3,6,1,2,5,4]=>11
[3,6,1,4,2,5]=>10
[3,6,1,4,5,2]=>11
[3,6,1,5,2,4]=>11
[3,6,1,5,4,2]=>11
[3,6,2,1,4,5]=>6
[3,6,2,1,5,4]=>11
[3,6,2,4,1,5]=>10
[3,6,2,4,5,1]=>11
[3,6,2,5,1,4]=>11
[3,6,2,5,4,1]=>11
[3,6,4,1,2,5]=>6
[3,6,4,1,5,2]=>11
[3,6,4,2,1,5]=>6
[3,6,4,2,5,1]=>11
[3,6,4,5,1,2]=>11
[3,6,4,5,2,1]=>11
[3,6,5,1,2,4]=>6
[3,6,5,1,4,2]=>10
[3,6,5,2,1,4]=>6
[3,6,5,2,4,1]=>10
[3,6,5,4,1,2]=>6
[3,6,5,4,2,1]=>6
[4,1,2,3,5,6]=>0
[4,1,2,3,6,5]=>6
[4,1,2,5,3,6]=>5
[4,1,2,5,6,3]=>6
[4,1,2,6,3,5]=>6
[4,1,2,6,5,3]=>6
[4,1,3,2,5,6]=>3
[4,1,3,2,6,5]=>9
[4,1,3,5,2,6]=>5
[4,1,3,5,6,2]=>6
[4,1,3,6,2,5]=>6
[4,1,3,6,5,2]=>6
[4,1,5,2,3,6]=>5
[4,1,5,2,6,3]=>11
[4,1,5,3,2,6]=>5
[4,1,5,3,6,2]=>11
[4,1,5,6,2,3]=>6
[4,1,5,6,3,2]=>6
[4,1,6,2,3,5]=>6
[4,1,6,2,5,3]=>11
[4,1,6,3,2,5]=>6
[4,1,6,3,5,2]=>11
[4,1,6,5,2,3]=>6
[4,1,6,5,3,2]=>6
[4,2,1,3,5,6]=>0
[4,2,1,3,6,5]=>6
[4,2,1,5,3,6]=>5
[4,2,1,5,6,3]=>6
[4,2,1,6,3,5]=>6
[4,2,1,6,5,3]=>6
[4,2,3,1,5,6]=>3
[4,2,3,1,6,5]=>9
[4,2,3,5,1,6]=>5
[4,2,3,5,6,1]=>6
[4,2,3,6,1,5]=>6
[4,2,3,6,5,1]=>6
[4,2,5,1,3,6]=>5
[4,2,5,1,6,3]=>11
[4,2,5,3,1,6]=>5
[4,2,5,3,6,1]=>11
[4,2,5,6,1,3]=>6
[4,2,5,6,3,1]=>6
[4,2,6,1,3,5]=>6
[4,2,6,1,5,3]=>11
[4,2,6,3,1,5]=>6
[4,2,6,3,5,1]=>11
[4,2,6,5,1,3]=>6
[4,2,6,5,3,1]=>6
[4,3,1,2,5,6]=>0
[4,3,1,2,6,5]=>6
[4,3,1,5,2,6]=>5
[4,3,1,5,6,2]=>6
[4,3,1,6,2,5]=>6
[4,3,1,6,5,2]=>6
[4,3,2,1,5,6]=>0
[4,3,2,1,6,5]=>6
[4,3,2,5,1,6]=>5
[4,3,2,5,6,1]=>6
[4,3,2,6,1,5]=>6
[4,3,2,6,5,1]=>6
[4,3,5,1,2,6]=>5
[4,3,5,1,6,2]=>11
[4,3,5,2,1,6]=>5
[4,3,5,2,6,1]=>11
[4,3,5,6,1,2]=>6
[4,3,5,6,2,1]=>6
[4,3,6,1,2,5]=>6
[4,3,6,1,5,2]=>11
[4,3,6,2,1,5]=>6
[4,3,6,2,5,1]=>11
[4,3,6,5,1,2]=>6
[4,3,6,5,2,1]=>6
[4,5,1,2,3,6]=>5
[4,5,1,2,6,3]=>11
[4,5,1,3,2,6]=>8
[4,5,1,3,6,2]=>11
[4,5,1,6,2,3]=>11
[4,5,1,6,3,2]=>11
[4,5,2,1,3,6]=>5
[4,5,2,1,6,3]=>11
[4,5,2,3,1,6]=>8
[4,5,2,3,6,1]=>11
[4,5,2,6,1,3]=>11
[4,5,2,6,3,1]=>11
[4,5,3,1,2,6]=>5
[4,5,3,1,6,2]=>11
[4,5,3,2,1,6]=>5
[4,5,3,2,6,1]=>11
[4,5,3,6,1,2]=>11
[4,5,3,6,2,1]=>11
[4,5,6,1,2,3]=>6
[4,5,6,1,3,2]=>9
[4,5,6,2,1,3]=>6
[4,5,6,2,3,1]=>9
[4,5,6,3,1,2]=>6
[4,5,6,3,2,1]=>6
[4,6,1,2,3,5]=>6
[4,6,1,2,5,3]=>11
[4,6,1,3,2,5]=>9
[4,6,1,3,5,2]=>11
[4,6,1,5,2,3]=>11
[4,6,1,5,3,2]=>11
[4,6,2,1,3,5]=>6
[4,6,2,1,5,3]=>11
[4,6,2,3,1,5]=>9
[4,6,2,3,5,1]=>11
[4,6,2,5,1,3]=>11
[4,6,2,5,3,1]=>11
[4,6,3,1,2,5]=>6
[4,6,3,1,5,2]=>11
[4,6,3,2,1,5]=>6
[4,6,3,2,5,1]=>11
[4,6,3,5,1,2]=>11
[4,6,3,5,2,1]=>11
[4,6,5,1,2,3]=>6
[4,6,5,1,3,2]=>9
[4,6,5,2,1,3]=>6
[4,6,5,2,3,1]=>9
[4,6,5,3,1,2]=>6
[4,6,5,3,2,1]=>6
[5,1,2,3,4,6]=>0
[5,1,2,3,6,4]=>6
[5,1,2,4,3,6]=>4
[5,1,2,4,6,3]=>6
[5,1,2,6,3,4]=>6
[5,1,2,6,4,3]=>6
[5,1,3,2,4,6]=>3
[5,1,3,2,6,4]=>9
[5,1,3,4,2,6]=>4
[5,1,3,4,6,2]=>6
[5,1,3,6,2,4]=>6
[5,1,3,6,4,2]=>6
[5,1,4,2,3,6]=>4
[5,1,4,2,6,3]=>10
[5,1,4,3,2,6]=>4
[5,1,4,3,6,2]=>10
[5,1,4,6,2,3]=>6
[5,1,4,6,3,2]=>6
[5,1,6,2,3,4]=>6
[5,1,6,2,4,3]=>10
[5,1,6,3,2,4]=>6
[5,1,6,3,4,2]=>10
[5,1,6,4,2,3]=>6
[5,1,6,4,3,2]=>6
[5,2,1,3,4,6]=>0
[5,2,1,3,6,4]=>6
[5,2,1,4,3,6]=>4
[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]=>3
[5,2,3,1,6,4]=>9
[5,2,3,4,1,6]=>4
[5,2,3,4,6,1]=>6
[5,2,3,6,1,4]=>6
[5,2,3,6,4,1]=>6
[5,2,4,1,3,6]=>4
[5,2,4,1,6,3]=>10
[5,2,4,3,1,6]=>4
[5,2,4,3,6,1]=>10
[5,2,4,6,1,3]=>6
[5,2,4,6,3,1]=>6
[5,2,6,1,3,4]=>6
[5,2,6,1,4,3]=>10
[5,2,6,3,1,4]=>6
[5,2,6,3,4,1]=>10
[5,2,6,4,1,3]=>6
[5,2,6,4,3,1]=>6
[5,3,1,2,4,6]=>0
[5,3,1,2,6,4]=>6
[5,3,1,4,2,6]=>4
[5,3,1,4,6,2]=>6
[5,3,1,6,2,4]=>6
[5,3,1,6,4,2]=>6
[5,3,2,1,4,6]=>0
[5,3,2,1,6,4]=>6
[5,3,2,4,1,6]=>4
[5,3,2,4,6,1]=>6
[5,3,2,6,1,4]=>6
[5,3,2,6,4,1]=>6
[5,3,4,1,2,6]=>4
[5,3,4,1,6,2]=>10
[5,3,4,2,1,6]=>4
[5,3,4,2,6,1]=>10
[5,3,4,6,1,2]=>6
[5,3,4,6,2,1]=>6
[5,3,6,1,2,4]=>6
[5,3,6,1,4,2]=>10
[5,3,6,2,1,4]=>6
[5,3,6,2,4,1]=>10
[5,3,6,4,1,2]=>6
[5,3,6,4,2,1]=>6
[5,4,1,2,3,6]=>0
[5,4,1,2,6,3]=>6
[5,4,1,3,2,6]=>3
[5,4,1,3,6,2]=>6
[5,4,1,6,2,3]=>6
[5,4,1,6,3,2]=>6
[5,4,2,1,3,6]=>0
[5,4,2,1,6,3]=>6
[5,4,2,3,1,6]=>3
[5,4,2,3,6,1]=>6
[5,4,2,6,1,3]=>6
[5,4,2,6,3,1]=>6
[5,4,3,1,2,6]=>0
[5,4,3,1,6,2]=>6
[5,4,3,2,1,6]=>0
[5,4,3,2,6,1]=>6
[5,4,3,6,1,2]=>6
[5,4,3,6,2,1]=>6
[5,4,6,1,2,3]=>6
[5,4,6,1,3,2]=>9
[5,4,6,2,1,3]=>6
[5,4,6,2,3,1]=>9
[5,4,6,3,1,2]=>6
[5,4,6,3,2,1]=>6
[5,6,1,2,3,4]=>6
[5,6,1,2,4,3]=>10
[5,6,1,3,2,4]=>9
[5,6,1,3,4,2]=>10
[5,6,1,4,2,3]=>10
[5,6,1,4,3,2]=>10
[5,6,2,1,3,4]=>6
[5,6,2,1,4,3]=>10
[5,6,2,3,1,4]=>9
[5,6,2,3,4,1]=>10
[5,6,2,4,1,3]=>10
[5,6,2,4,3,1]=>10
[5,6,3,1,2,4]=>6
[5,6,3,1,4,2]=>10
[5,6,3,2,1,4]=>6
[5,6,3,2,4,1]=>10
[5,6,3,4,1,2]=>10
[5,6,3,4,2,1]=>10
[5,6,4,1,2,3]=>6
[5,6,4,1,3,2]=>9
[5,6,4,2,1,3]=>6
[5,6,4,2,3,1]=>9
[5,6,4,3,1,2]=>6
[5,6,4,3,2,1]=>6
[6,1,2,3,4,5]=>0
[6,1,2,3,5,4]=>5
[6,1,2,4,3,5]=>4
[6,1,2,4,5,3]=>5
[6,1,2,5,3,4]=>5
[6,1,2,5,4,3]=>5
[6,1,3,2,4,5]=>3
[6,1,3,2,5,4]=>8
[6,1,3,4,2,5]=>4
[6,1,3,4,5,2]=>5
[6,1,3,5,2,4]=>5
[6,1,3,5,4,2]=>5
[6,1,4,2,3,5]=>4
[6,1,4,2,5,3]=>9
[6,1,4,3,2,5]=>4
[6,1,4,3,5,2]=>9
[6,1,4,5,2,3]=>5
[6,1,4,5,3,2]=>5
[6,1,5,2,3,4]=>5
[6,1,5,2,4,3]=>9
[6,1,5,3,2,4]=>5
[6,1,5,3,4,2]=>9
[6,1,5,4,2,3]=>5
[6,1,5,4,3,2]=>5
[6,2,1,3,4,5]=>0
[6,2,1,3,5,4]=>5
[6,2,1,4,3,5]=>4
[6,2,1,4,5,3]=>5
[6,2,1,5,3,4]=>5
[6,2,1,5,4,3]=>5
[6,2,3,1,4,5]=>3
[6,2,3,1,5,4]=>8
[6,2,3,4,1,5]=>4
[6,2,3,4,5,1]=>5
[6,2,3,5,1,4]=>5
[6,2,3,5,4,1]=>5
[6,2,4,1,3,5]=>4
[6,2,4,1,5,3]=>9
[6,2,4,3,1,5]=>4
[6,2,4,3,5,1]=>9
[6,2,4,5,1,3]=>5
[6,2,4,5,3,1]=>5
[6,2,5,1,3,4]=>5
[6,2,5,1,4,3]=>9
[6,2,5,3,1,4]=>5
[6,2,5,3,4,1]=>9
[6,2,5,4,1,3]=>5
[6,2,5,4,3,1]=>5
[6,3,1,2,4,5]=>0
[6,3,1,2,5,4]=>5
[6,3,1,4,2,5]=>4
[6,3,1,4,5,2]=>5
[6,3,1,5,2,4]=>5
[6,3,1,5,4,2]=>5
[6,3,2,1,4,5]=>0
[6,3,2,1,5,4]=>5
[6,3,2,4,1,5]=>4
[6,3,2,4,5,1]=>5
[6,3,2,5,1,4]=>5
[6,3,2,5,4,1]=>5
[6,3,4,1,2,5]=>4
[6,3,4,1,5,2]=>9
[6,3,4,2,1,5]=>4
[6,3,4,2,5,1]=>9
[6,3,4,5,1,2]=>5
[6,3,4,5,2,1]=>5
[6,3,5,1,2,4]=>5
[6,3,5,1,4,2]=>9
[6,3,5,2,1,4]=>5
[6,3,5,2,4,1]=>9
[6,3,5,4,1,2]=>5
[6,3,5,4,2,1]=>5
[6,4,1,2,3,5]=>0
[6,4,1,2,5,3]=>5
[6,4,1,3,2,5]=>3
[6,4,1,3,5,2]=>5
[6,4,1,5,2,3]=>5
[6,4,1,5,3,2]=>5
[6,4,2,1,3,5]=>0
[6,4,2,1,5,3]=>5
[6,4,2,3,1,5]=>3
[6,4,2,3,5,1]=>5
[6,4,2,5,1,3]=>5
[6,4,2,5,3,1]=>5
[6,4,3,1,2,5]=>0
[6,4,3,1,5,2]=>5
[6,4,3,2,1,5]=>0
[6,4,3,2,5,1]=>5
[6,4,3,5,1,2]=>5
[6,4,3,5,2,1]=>5
[6,4,5,1,2,3]=>5
[6,4,5,1,3,2]=>8
[6,4,5,2,1,3]=>5
[6,4,5,2,3,1]=>8
[6,4,5,3,1,2]=>5
[6,4,5,3,2,1]=>5
[6,5,1,2,3,4]=>0
[6,5,1,2,4,3]=>4
[6,5,1,3,2,4]=>3
[6,5,1,3,4,2]=>4
[6,5,1,4,2,3]=>4
[6,5,1,4,3,2]=>4
[6,5,2,1,3,4]=>0
[6,5,2,1,4,3]=>4
[6,5,2,3,1,4]=>3
[6,5,2,3,4,1]=>4
[6,5,2,4,1,3]=>4
[6,5,2,4,3,1]=>4
[6,5,3,1,2,4]=>0
[6,5,3,1,4,2]=>4
[6,5,3,2,1,4]=>0
[6,5,3,2,4,1]=>4
[6,5,3,4,1,2]=>4
[6,5,3,4,2,1]=>4
[6,5,4,1,2,3]=>0
[6,5,4,1,3,2]=>3
[6,5,4,2,1,3]=>0
[6,5,4,2,3,1]=>3
[6,5,4,3,1,2]=>0
[6,5,4,3,2,1]=>0
[1,2,3,4,5,6,7]=>0
[1,2,3,4,5,7,6]=>7
[1,2,3,4,6,5,7]=>6
[1,2,3,4,6,7,5]=>7
[1,2,3,4,7,5,6]=>7
[1,2,3,4,7,6,5]=>7
[1,2,3,5,4,6,7]=>5
[1,2,3,5,4,7,6]=>12
[1,2,3,5,6,4,7]=>6
[1,2,3,5,6,7,4]=>7
[1,2,3,5,7,4,6]=>7
[1,2,3,5,7,6,4]=>7
[1,2,3,6,4,5,7]=>6
[1,2,3,6,4,7,5]=>13
[1,2,3,6,5,4,7]=>6
[1,2,3,6,5,7,4]=>13
[1,2,3,6,7,4,5]=>7
[1,2,3,6,7,5,4]=>7
[1,2,3,7,4,5,6]=>7
[1,2,3,7,4,6,5]=>13
[1,2,3,7,5,4,6]=>7
[1,2,3,7,5,6,4]=>13
[1,2,3,7,6,4,5]=>7
[1,2,3,7,6,5,4]=>7
[1,2,4,3,5,6,7]=>4
[1,2,4,3,5,7,6]=>11
[1,2,4,3,6,5,7]=>10
[1,2,4,3,6,7,5]=>11
[1,2,4,3,7,5,6]=>11
[1,2,4,3,7,6,5]=>11
[1,2,4,5,3,6,7]=>5
[1,2,4,5,3,7,6]=>12
[1,2,4,5,6,3,7]=>6
[1,2,4,5,6,7,3]=>7
[1,2,4,5,7,3,6]=>7
[1,2,4,5,7,6,3]=>7
[1,2,4,6,3,5,7]=>6
[1,2,4,6,3,7,5]=>13
[1,2,4,6,5,3,7]=>6
[1,2,4,6,5,7,3]=>13
[1,2,4,6,7,3,5]=>7
[1,2,4,6,7,5,3]=>7
[1,2,4,7,3,5,6]=>7
[1,2,4,7,3,6,5]=>13
[1,2,4,7,5,3,6]=>7
[1,2,4,7,5,6,3]=>13
[1,2,4,7,6,3,5]=>7
[1,2,4,7,6,5,3]=>7
[1,2,5,3,4,6,7]=>5
[1,2,5,3,4,7,6]=>12
[1,2,5,3,6,4,7]=>11
[1,2,5,3,6,7,4]=>12
[1,2,5,3,7,4,6]=>12
[1,2,5,3,7,6,4]=>12
[1,2,5,4,3,6,7]=>5
[1,2,5,4,3,7,6]=>12
[1,2,5,4,6,3,7]=>11
[1,2,5,4,6,7,3]=>12
[1,2,5,4,7,3,6]=>12
[1,2,5,4,7,6,3]=>12
[1,2,5,6,3,4,7]=>6
[1,2,5,6,3,7,4]=>13
[1,2,5,6,4,3,7]=>6
[1,2,5,6,4,7,3]=>13
[1,2,5,6,7,3,4]=>7
[1,2,5,6,7,4,3]=>7
[1,2,5,7,3,4,6]=>7
[1,2,5,7,3,6,4]=>13
[1,2,5,7,4,3,6]=>7
[1,2,5,7,4,6,3]=>13
[1,2,5,7,6,3,4]=>7
[1,2,5,7,6,4,3]=>7
[1,2,6,3,4,5,7]=>6
[1,2,6,3,4,7,5]=>13
[1,2,6,3,5,4,7]=>11
[1,2,6,3,5,7,4]=>13
[1,2,6,3,7,4,5]=>13
[1,2,6,3,7,5,4]=>13
[1,2,6,4,3,5,7]=>6
[1,2,6,4,3,7,5]=>13
[1,2,6,4,5,3,7]=>11
[1,2,6,4,5,7,3]=>13
[1,2,6,4,7,3,5]=>13
[1,2,6,4,7,5,3]=>13
[1,2,6,5,3,4,7]=>6
[1,2,6,5,3,7,4]=>13
[1,2,6,5,4,3,7]=>6
[1,2,6,5,4,7,3]=>13
[1,2,6,5,7,3,4]=>13
[1,2,6,5,7,4,3]=>13
[1,2,6,7,3,4,5]=>7
[1,2,6,7,3,5,4]=>12
[1,2,6,7,4,3,5]=>7
[1,2,6,7,4,5,3]=>12
[1,2,6,7,5,3,4]=>7
[1,2,6,7,5,4,3]=>7
[1,2,7,3,4,5,6]=>7
[1,2,7,3,4,6,5]=>13
[1,2,7,3,5,4,6]=>12
[1,2,7,3,5,6,4]=>13
[1,2,7,3,6,4,5]=>13
[1,2,7,3,6,5,4]=>13
[1,2,7,4,3,5,6]=>7
[1,2,7,4,3,6,5]=>13
[1,2,7,4,5,3,6]=>12
[1,2,7,4,5,6,3]=>13
[1,2,7,4,6,3,5]=>13
[1,2,7,4,6,5,3]=>13
[1,2,7,5,3,4,6]=>7
[1,2,7,5,3,6,4]=>13
[1,2,7,5,4,3,6]=>7
[1,2,7,5,4,6,3]=>13
[1,2,7,5,6,3,4]=>13
[1,2,7,5,6,4,3]=>13
[1,2,7,6,3,4,5]=>7
[1,2,7,6,3,5,4]=>12
[1,2,7,6,4,3,5]=>7
[1,2,7,6,4,5,3]=>12
[1,2,7,6,5,3,4]=>7
[1,2,7,6,5,4,3]=>7
[1,3,2,4,5,6,7]=>3
[1,3,2,4,5,7,6]=>10
[1,3,2,4,6,5,7]=>9
[1,3,2,4,6,7,5]=>10
[1,3,2,4,7,5,6]=>10
[1,3,2,4,7,6,5]=>10
[1,3,2,5,4,6,7]=>8
[1,3,2,5,4,7,6]=>15
[1,3,2,5,6,4,7]=>9
[1,3,2,5,6,7,4]=>10
[1,3,2,5,7,4,6]=>10
[1,3,2,5,7,6,4]=>10
[1,3,2,6,4,5,7]=>9
[1,3,2,6,4,7,5]=>16
[1,3,2,6,5,4,7]=>9
[1,3,2,6,5,7,4]=>16
[1,3,2,6,7,4,5]=>10
[1,3,2,6,7,5,4]=>10
[1,3,2,7,4,5,6]=>10
[1,3,2,7,4,6,5]=>16
[1,3,2,7,5,4,6]=>10
[1,3,2,7,5,6,4]=>16
[1,3,2,7,6,4,5]=>10
[1,3,2,7,6,5,4]=>10
[1,3,4,2,5,6,7]=>4
[1,3,4,2,5,7,6]=>11
[1,3,4,2,6,5,7]=>10
[1,3,4,2,6,7,5]=>11
[1,3,4,2,7,5,6]=>11
[1,3,4,2,7,6,5]=>11
[1,3,4,5,2,6,7]=>5
[1,3,4,5,2,7,6]=>12
[1,3,4,5,6,2,7]=>6
[1,3,4,5,6,7,2]=>7
[1,3,4,5,7,2,6]=>7
[1,3,4,5,7,6,2]=>7
[1,3,4,6,2,5,7]=>6
[1,3,4,6,2,7,5]=>13
[1,3,4,6,5,2,7]=>6
[1,3,4,6,5,7,2]=>13
[1,3,4,6,7,2,5]=>7
[1,3,4,6,7,5,2]=>7
[1,3,4,7,2,5,6]=>7
[1,3,4,7,2,6,5]=>13
[1,3,4,7,5,2,6]=>7
[1,3,4,7,5,6,2]=>13
[1,3,4,7,6,2,5]=>7
[1,3,4,7,6,5,2]=>7
[1,3,5,2,4,6,7]=>5
[1,3,5,2,4,7,6]=>12
[1,3,5,2,6,4,7]=>11
[1,3,5,2,6,7,4]=>12
[1,3,5,2,7,4,6]=>12
[1,3,5,2,7,6,4]=>12
[1,3,5,4,2,6,7]=>5
[1,3,5,4,2,7,6]=>12
[1,3,5,4,6,2,7]=>11
[1,3,5,4,6,7,2]=>12
[1,3,5,4,7,2,6]=>12
[1,3,5,4,7,6,2]=>12
[1,3,5,6,2,4,7]=>6
[1,3,5,6,2,7,4]=>13
[1,3,5,6,4,2,7]=>6
[1,3,5,6,4,7,2]=>13
[1,3,5,6,7,2,4]=>7
[1,3,5,6,7,4,2]=>7
[1,3,5,7,2,4,6]=>7
[1,3,5,7,2,6,4]=>13
[1,3,5,7,4,2,6]=>7
[1,3,5,7,4,6,2]=>13
[1,3,5,7,6,2,4]=>7
[1,3,5,7,6,4,2]=>7
[1,3,6,2,4,5,7]=>6
[1,3,6,2,4,7,5]=>13
[1,3,6,2,5,4,7]=>11
[1,3,6,2,5,7,4]=>13
[1,3,6,2,7,4,5]=>13
[1,3,6,2,7,5,4]=>13
[1,3,6,4,2,5,7]=>6
[1,3,6,4,2,7,5]=>13
[1,3,6,4,5,2,7]=>11
[1,3,6,4,5,7,2]=>13
[1,3,6,4,7,2,5]=>13
[1,3,6,4,7,5,2]=>13
[1,3,6,5,2,4,7]=>6
[1,3,6,5,2,7,4]=>13
[1,3,6,5,4,2,7]=>6
[1,3,6,5,4,7,2]=>13
[1,3,6,5,7,2,4]=>13
[1,3,6,5,7,4,2]=>13
[1,3,6,7,2,4,5]=>7
[1,3,6,7,2,5,4]=>12
[1,3,6,7,4,2,5]=>7
[1,3,6,7,4,5,2]=>12
[1,3,6,7,5,2,4]=>7
[1,3,6,7,5,4,2]=>7
[1,3,7,2,4,5,6]=>7
[1,3,7,2,4,6,5]=>13
[1,3,7,2,5,4,6]=>12
[1,3,7,2,5,6,4]=>13
[1,3,7,2,6,4,5]=>13
[1,3,7,2,6,5,4]=>13
[1,3,7,4,2,5,6]=>7
[1,3,7,4,2,6,5]=>13
[1,3,7,4,5,2,6]=>12
[1,3,7,4,5,6,2]=>13
[1,3,7,4,6,2,5]=>13
[1,3,7,4,6,5,2]=>13
[1,3,7,5,2,4,6]=>7
[1,3,7,5,2,6,4]=>13
[1,3,7,5,4,2,6]=>7
[1,3,7,5,4,6,2]=>13
[1,3,7,5,6,2,4]=>13
[1,3,7,5,6,4,2]=>13
[1,3,7,6,2,4,5]=>7
[1,3,7,6,2,5,4]=>12
[1,3,7,6,4,2,5]=>7
[1,3,7,6,4,5,2]=>12
[1,3,7,6,5,2,4]=>7
[1,3,7,6,5,4,2]=>7
[1,4,2,3,5,6,7]=>4
[1,4,2,3,5,7,6]=>11
[1,4,2,3,6,5,7]=>10
[1,4,2,3,6,7,5]=>11
[1,4,2,3,7,5,6]=>11
[1,4,2,3,7,6,5]=>11
[1,4,2,5,3,6,7]=>9
[1,4,2,5,3,7,6]=>16
[1,4,2,5,6,3,7]=>10
[1,4,2,5,6,7,3]=>11
[1,4,2,5,7,3,6]=>11
[1,4,2,5,7,6,3]=>11
[1,4,2,6,3,5,7]=>10
[1,4,2,6,3,7,5]=>17
[1,4,2,6,5,3,7]=>10
[1,4,2,6,5,7,3]=>17
[1,4,2,6,7,3,5]=>11
[1,4,2,6,7,5,3]=>11
[1,4,2,7,3,5,6]=>11
[1,4,2,7,3,6,5]=>17
[1,4,2,7,5,3,6]=>11
[1,4,2,7,5,6,3]=>17
[1,4,2,7,6,3,5]=>11
[1,4,2,7,6,5,3]=>11
[1,4,3,2,5,6,7]=>4
[1,4,3,2,5,7,6]=>11
[1,4,3,2,6,5,7]=>10
[1,4,3,2,6,7,5]=>11
[1,4,3,2,7,5,6]=>11
[1,4,3,2,7,6,5]=>11
[1,4,3,5,2,6,7]=>9
[1,4,3,5,2,7,6]=>16
[1,4,3,5,6,2,7]=>10
[1,4,3,5,6,7,2]=>11
[1,4,3,5,7,2,6]=>11
[1,4,3,5,7,6,2]=>11
[1,4,3,6,2,5,7]=>10
[1,4,3,6,2,7,5]=>17
[1,4,3,6,5,2,7]=>10
[1,4,3,6,5,7,2]=>17
[1,4,3,6,7,2,5]=>11
[1,4,3,6,7,5,2]=>11
[1,4,3,7,2,5,6]=>11
[1,4,3,7,2,6,5]=>17
[1,4,3,7,5,2,6]=>11
[1,4,3,7,5,6,2]=>17
[1,4,3,7,6,2,5]=>11
[1,4,3,7,6,5,2]=>11
[1,4,5,2,3,6,7]=>5
[1,4,5,2,3,7,6]=>12
[1,4,5,2,6,3,7]=>11
[1,4,5,2,6,7,3]=>12
[1,4,5,2,7,3,6]=>12
[1,4,5,2,7,6,3]=>12
[1,4,5,3,2,6,7]=>5
[1,4,5,3,2,7,6]=>12
[1,4,5,3,6,2,7]=>11
[1,4,5,3,6,7,2]=>12
[1,4,5,3,7,2,6]=>12
[1,4,5,3,7,6,2]=>12
[1,4,5,6,2,3,7]=>6
[1,4,5,6,2,7,3]=>13
[1,4,5,6,3,2,7]=>6
[1,4,5,6,3,7,2]=>13
[1,4,5,6,7,2,3]=>7
[1,4,5,6,7,3,2]=>7
[1,4,5,7,2,3,6]=>7
[1,4,5,7,2,6,3]=>13
[1,4,5,7,3,2,6]=>7
[1,4,5,7,3,6,2]=>13
[1,4,5,7,6,2,3]=>7
[1,4,5,7,6,3,2]=>7
[1,4,6,2,3,5,7]=>6
[1,4,6,2,3,7,5]=>13
[1,4,6,2,5,3,7]=>11
[1,4,6,2,5,7,3]=>13
[1,4,6,2,7,3,5]=>13
[1,4,6,2,7,5,3]=>13
[1,4,6,3,2,5,7]=>6
[1,4,6,3,2,7,5]=>13
[1,4,6,3,5,2,7]=>11
[1,4,6,3,5,7,2]=>13
[1,4,6,3,7,2,5]=>13
[1,4,6,3,7,5,2]=>13
[1,4,6,5,2,3,7]=>6
[1,4,6,5,2,7,3]=>13
[1,4,6,5,3,2,7]=>6
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Description
The pinnacle sum of a permutation.
This is, the sum of the pinnacles (peak values) given by
$$\sum_{i \text{ peak of } \sigma} \sigma(i).$$
This is, the sum of the pinnacles (peak values) given by
$$\sum_{i \text{ peak of } \sigma} \sigma(i).$$
References
[1] Davis, R., Nelson, S. A., Petersen, T. K., Tenner, B. E. The pinnacle set of a permutation arXiv:1704.05494
Code
def statistic(pi):
return sum( pi[i] for i in pi.peaks() )
Created
Feb 17, 2020 at 09:20 by Christian Stump
Updated
Feb 17, 2020 at 09:20 by Christian Stump
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