Identifier
- St001766: Permutations ⟶ ℤ
Values
=>
[1]=>0
[1,2]=>0
[2,1]=>0
[1,2,3]=>0
[1,3,2]=>2
[2,1,3]=>0
[2,3,1]=>0
[3,1,2]=>0
[3,2,1]=>0
[1,2,3,4]=>0
[1,2,4,3]=>3
[1,3,2,4]=>2
[1,3,4,2]=>4
[1,4,2,3]=>4
[1,4,3,2]=>5
[2,1,3,4]=>0
[2,1,4,3]=>3
[2,3,1,4]=>0
[2,3,4,1]=>0
[2,4,1,3]=>2
[2,4,3,1]=>2
[3,1,2,4]=>0
[3,1,4,2]=>2
[3,2,1,4]=>0
[3,2,4,1]=>0
[3,4,1,2]=>0
[3,4,2,1]=>0
[4,1,2,3]=>0
[4,1,3,2]=>2
[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]=>0
[1,2,3,5,4]=>4
[1,2,4,3,5]=>3
[1,2,4,5,3]=>6
[1,2,5,3,4]=>6
[1,2,5,4,3]=>7
[1,3,2,4,5]=>2
[1,3,2,5,4]=>6
[1,3,4,2,5]=>4
[1,3,4,5,2]=>6
[1,3,5,2,4]=>7
[1,3,5,4,2]=>8
[1,4,2,3,5]=>4
[1,4,2,5,3]=>7
[1,4,3,2,5]=>5
[1,4,3,5,2]=>7
[1,4,5,2,3]=>7
[1,4,5,3,2]=>8
[1,5,2,3,4]=>6
[1,5,2,4,3]=>8
[1,5,3,2,4]=>7
[1,5,3,4,2]=>9
[1,5,4,2,3]=>8
[1,5,4,3,2]=>9
[2,1,3,4,5]=>0
[2,1,3,5,4]=>4
[2,1,4,3,5]=>3
[2,1,4,5,3]=>6
[2,1,5,3,4]=>6
[2,1,5,4,3]=>7
[2,3,1,4,5]=>0
[2,3,1,5,4]=>4
[2,3,4,1,5]=>0
[2,3,4,5,1]=>0
[2,3,5,1,4]=>3
[2,3,5,4,1]=>3
[2,4,1,3,5]=>2
[2,4,1,5,3]=>5
[2,4,3,1,5]=>2
[2,4,3,5,1]=>2
[2,4,5,1,3]=>4
[2,4,5,3,1]=>4
[2,5,1,3,4]=>4
[2,5,1,4,3]=>6
[2,5,3,1,4]=>4
[2,5,3,4,1]=>4
[2,5,4,1,3]=>5
[2,5,4,3,1]=>5
[3,1,2,4,5]=>0
[3,1,2,5,4]=>4
[3,1,4,2,5]=>2
[3,1,4,5,2]=>4
[3,1,5,2,4]=>5
[3,1,5,4,2]=>6
[3,2,1,4,5]=>0
[3,2,1,5,4]=>4
[3,2,4,1,5]=>0
[3,2,4,5,1]=>0
[3,2,5,1,4]=>3
[3,2,5,4,1]=>3
[3,4,1,2,5]=>0
[3,4,1,5,2]=>2
[3,4,2,1,5]=>0
[3,4,2,5,1]=>0
[3,4,5,1,2]=>0
[3,4,5,2,1]=>0
[3,5,1,2,4]=>2
[3,5,1,4,2]=>4
[3,5,2,1,4]=>2
[3,5,2,4,1]=>2
[3,5,4,1,2]=>2
[3,5,4,2,1]=>2
[4,1,2,3,5]=>0
[4,1,2,5,3]=>3
[4,1,3,2,5]=>2
[4,1,3,5,2]=>4
[4,1,5,2,3]=>4
[4,1,5,3,2]=>5
[4,2,1,3,5]=>0
[4,2,1,5,3]=>3
[4,2,3,1,5]=>0
[4,2,3,5,1]=>0
[4,2,5,1,3]=>2
[4,2,5,3,1]=>2
[4,3,1,2,5]=>0
[4,3,1,5,2]=>2
[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]=>0
[4,5,1,3,2]=>2
[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]=>0
[5,1,2,4,3]=>3
[5,1,3,2,4]=>2
[5,1,3,4,2]=>4
[5,1,4,2,3]=>4
[5,1,4,3,2]=>5
[5,2,1,3,4]=>0
[5,2,1,4,3]=>3
[5,2,3,1,4]=>0
[5,2,3,4,1]=>0
[5,2,4,1,3]=>2
[5,2,4,3,1]=>2
[5,3,1,2,4]=>0
[5,3,1,4,2]=>2
[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]=>0
[5,4,1,3,2]=>2
[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]=>0
[1,2,3,4,6,5]=>5
[1,2,3,5,4,6]=>4
[1,2,3,5,6,4]=>8
[1,2,3,6,4,5]=>8
[1,2,3,6,5,4]=>9
[1,2,4,3,5,6]=>3
[1,2,4,3,6,5]=>8
[1,2,4,5,3,6]=>6
[1,2,4,5,6,3]=>9
[1,2,4,6,3,5]=>10
[1,2,4,6,5,3]=>11
[1,2,5,3,4,6]=>6
[1,2,5,3,6,4]=>10
[1,2,5,4,3,6]=>7
[1,2,5,4,6,3]=>10
[1,2,5,6,3,4]=>10
[1,2,5,6,4,3]=>11
[1,2,6,3,4,5]=>9
[1,2,6,3,5,4]=>11
[1,2,6,4,3,5]=>10
[1,2,6,4,5,3]=>12
[1,2,6,5,3,4]=>11
[1,2,6,5,4,3]=>12
[1,3,2,4,5,6]=>2
[1,3,2,4,6,5]=>7
[1,3,2,5,4,6]=>6
[1,3,2,5,6,4]=>10
[1,3,2,6,4,5]=>10
[1,3,2,6,5,4]=>11
[1,3,4,2,5,6]=>4
[1,3,4,2,6,5]=>9
[1,3,4,5,2,6]=>6
[1,3,4,5,6,2]=>8
[1,3,4,6,2,5]=>10
[1,3,4,6,5,2]=>11
[1,3,5,2,4,6]=>7
[1,3,5,2,6,4]=>11
[1,3,5,4,2,6]=>8
[1,3,5,4,6,2]=>10
[1,3,5,6,2,4]=>11
[1,3,5,6,4,2]=>12
[1,3,6,2,4,5]=>10
[1,3,6,2,5,4]=>12
[1,3,6,4,2,5]=>11
[1,3,6,4,5,2]=>13
[1,3,6,5,2,4]=>12
[1,3,6,5,4,2]=>13
[1,4,2,3,5,6]=>4
[1,4,2,3,6,5]=>9
[1,4,2,5,3,6]=>7
[1,4,2,5,6,3]=>10
[1,4,2,6,3,5]=>11
[1,4,2,6,5,3]=>12
[1,4,3,2,5,6]=>5
[1,4,3,2,6,5]=>10
[1,4,3,5,2,6]=>7
[1,4,3,5,6,2]=>9
[1,4,3,6,2,5]=>11
[1,4,3,6,5,2]=>12
[1,4,5,2,3,6]=>7
[1,4,5,2,6,3]=>10
[1,4,5,3,2,6]=>8
[1,4,5,3,6,2]=>10
[1,4,5,6,2,3]=>10
[1,4,5,6,3,2]=>11
[1,4,6,2,3,5]=>10
[1,4,6,2,5,3]=>12
[1,4,6,3,2,5]=>11
[1,4,6,3,5,2]=>13
[1,4,6,5,2,3]=>12
[1,4,6,5,3,2]=>13
[1,5,2,3,4,6]=>6
[1,5,2,3,6,4]=>10
[1,5,2,4,3,6]=>8
[1,5,2,4,6,3]=>11
[1,5,2,6,3,4]=>11
[1,5,2,6,4,3]=>12
[1,5,3,2,4,6]=>7
[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]=>12
[1,5,3,6,4,2]=>13
[1,5,4,2,3,6]=>8
[1,5,4,2,6,3]=>11
[1,5,4,3,2,6]=>9
[1,5,4,3,6,2]=>11
[1,5,4,6,2,3]=>11
[1,5,4,6,3,2]=>12
[1,5,6,2,3,4]=>10
[1,5,6,2,4,3]=>12
[1,5,6,3,2,4]=>11
[1,5,6,3,4,2]=>13
[1,5,6,4,2,3]=>12
[1,5,6,4,3,2]=>13
[1,6,2,3,4,5]=>8
[1,6,2,3,5,4]=>11
[1,6,2,4,3,5]=>10
[1,6,2,4,5,3]=>13
[1,6,2,5,3,4]=>12
[1,6,2,5,4,3]=>13
[1,6,3,2,4,5]=>9
[1,6,3,2,5,4]=>12
[1,6,3,4,2,5]=>11
[1,6,3,4,5,2]=>13
[1,6,3,5,2,4]=>13
[1,6,3,5,4,2]=>14
[1,6,4,2,3,5]=>10
[1,6,4,2,5,3]=>13
[1,6,4,3,2,5]=>11
[1,6,4,3,5,2]=>13
[1,6,4,5,2,3]=>13
[1,6,4,5,3,2]=>14
[1,6,5,2,3,4]=>11
[1,6,5,2,4,3]=>13
[1,6,5,3,2,4]=>12
[1,6,5,3,4,2]=>14
[1,6,5,4,2,3]=>13
[1,6,5,4,3,2]=>14
[2,1,3,4,5,6]=>0
[2,1,3,4,6,5]=>5
[2,1,3,5,4,6]=>4
[2,1,3,5,6,4]=>8
[2,1,3,6,4,5]=>8
[2,1,3,6,5,4]=>9
[2,1,4,3,5,6]=>3
[2,1,4,3,6,5]=>8
[2,1,4,5,3,6]=>6
[2,1,4,5,6,3]=>9
[2,1,4,6,3,5]=>10
[2,1,4,6,5,3]=>11
[2,1,5,3,4,6]=>6
[2,1,5,3,6,4]=>10
[2,1,5,4,3,6]=>7
[2,1,5,4,6,3]=>10
[2,1,5,6,3,4]=>10
[2,1,5,6,4,3]=>11
[2,1,6,3,4,5]=>9
[2,1,6,3,5,4]=>11
[2,1,6,4,3,5]=>10
[2,1,6,4,5,3]=>12
[2,1,6,5,3,4]=>11
[2,1,6,5,4,3]=>12
[2,3,1,4,5,6]=>0
[2,3,1,4,6,5]=>5
[2,3,1,5,4,6]=>4
[2,3,1,5,6,4]=>8
[2,3,1,6,4,5]=>8
[2,3,1,6,5,4]=>9
[2,3,4,1,5,6]=>0
[2,3,4,1,6,5]=>5
[2,3,4,5,1,6]=>0
[2,3,4,5,6,1]=>0
[2,3,4,6,1,5]=>4
[2,3,4,6,5,1]=>4
[2,3,5,1,4,6]=>3
[2,3,5,1,6,4]=>7
[2,3,5,4,1,6]=>3
[2,3,5,4,6,1]=>3
[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]=>8
[2,3,6,4,1,5]=>6
[2,3,6,4,5,1]=>6
[2,3,6,5,1,4]=>7
[2,3,6,5,4,1]=>7
[2,4,1,3,5,6]=>2
[2,4,1,3,6,5]=>7
[2,4,1,5,3,6]=>5
[2,4,1,5,6,3]=>8
[2,4,1,6,3,5]=>9
[2,4,1,6,5,3]=>10
[2,4,3,1,5,6]=>2
[2,4,3,1,6,5]=>7
[2,4,3,5,1,6]=>2
[2,4,3,5,6,1]=>2
[2,4,3,6,1,5]=>6
[2,4,3,6,5,1]=>6
[2,4,5,1,3,6]=>4
[2,4,5,1,6,3]=>7
[2,4,5,3,1,6]=>4
[2,4,5,3,6,1]=>4
[2,4,5,6,1,3]=>6
[2,4,5,6,3,1]=>6
[2,4,6,1,3,5]=>7
[2,4,6,1,5,3]=>9
[2,4,6,3,1,5]=>7
[2,4,6,3,5,1]=>7
[2,4,6,5,1,3]=>8
[2,4,6,5,3,1]=>8
[2,5,1,3,4,6]=>4
[2,5,1,3,6,4]=>8
[2,5,1,4,3,6]=>6
[2,5,1,4,6,3]=>9
[2,5,1,6,3,4]=>9
[2,5,1,6,4,3]=>10
[2,5,3,1,4,6]=>4
[2,5,3,1,6,4]=>8
[2,5,3,4,1,6]=>4
[2,5,3,4,6,1]=>4
[2,5,3,6,1,4]=>7
[2,5,3,6,4,1]=>7
[2,5,4,1,3,6]=>5
[2,5,4,1,6,3]=>8
[2,5,4,3,1,6]=>5
[2,5,4,3,6,1]=>5
[2,5,4,6,1,3]=>7
[2,5,4,6,3,1]=>7
[2,5,6,1,3,4]=>7
[2,5,6,1,4,3]=>9
[2,5,6,3,1,4]=>7
[2,5,6,3,4,1]=>7
[2,5,6,4,1,3]=>8
[2,5,6,4,3,1]=>8
[2,6,1,3,4,5]=>6
[2,6,1,3,5,4]=>9
[2,6,1,4,3,5]=>8
[2,6,1,4,5,3]=>11
[2,6,1,5,3,4]=>10
[2,6,1,5,4,3]=>11
[2,6,3,1,4,5]=>6
[2,6,3,1,5,4]=>9
[2,6,3,4,1,5]=>6
[2,6,3,4,5,1]=>6
[2,6,3,5,1,4]=>8
[2,6,3,5,4,1]=>8
[2,6,4,1,3,5]=>7
[2,6,4,1,5,3]=>10
[2,6,4,3,1,5]=>7
[2,6,4,3,5,1]=>7
[2,6,4,5,1,3]=>9
[2,6,4,5,3,1]=>9
[2,6,5,1,3,4]=>8
[2,6,5,1,4,3]=>10
[2,6,5,3,1,4]=>8
[2,6,5,3,4,1]=>8
[2,6,5,4,1,3]=>9
[2,6,5,4,3,1]=>9
[3,1,2,4,5,6]=>0
[3,1,2,4,6,5]=>5
[3,1,2,5,4,6]=>4
[3,1,2,5,6,4]=>8
[3,1,2,6,4,5]=>8
[3,1,2,6,5,4]=>9
[3,1,4,2,5,6]=>2
[3,1,4,2,6,5]=>7
[3,1,4,5,2,6]=>4
[3,1,4,5,6,2]=>6
[3,1,4,6,2,5]=>8
[3,1,4,6,5,2]=>9
[3,1,5,2,4,6]=>5
[3,1,5,2,6,4]=>9
[3,1,5,4,2,6]=>6
[3,1,5,4,6,2]=>8
[3,1,5,6,2,4]=>9
[3,1,5,6,4,2]=>10
[3,1,6,2,4,5]=>8
[3,1,6,2,5,4]=>10
[3,1,6,4,2,5]=>9
[3,1,6,4,5,2]=>11
[3,1,6,5,2,4]=>10
[3,1,6,5,4,2]=>11
[3,2,1,4,5,6]=>0
[3,2,1,4,6,5]=>5
[3,2,1,5,4,6]=>4
[3,2,1,5,6,4]=>8
[3,2,1,6,4,5]=>8
[3,2,1,6,5,4]=>9
[3,2,4,1,5,6]=>0
[3,2,4,1,6,5]=>5
[3,2,4,5,1,6]=>0
[3,2,4,5,6,1]=>0
[3,2,4,6,1,5]=>4
[3,2,4,6,5,1]=>4
[3,2,5,1,4,6]=>3
[3,2,5,1,6,4]=>7
[3,2,5,4,1,6]=>3
[3,2,5,4,6,1]=>3
[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]=>8
[3,2,6,4,1,5]=>6
[3,2,6,4,5,1]=>6
[3,2,6,5,1,4]=>7
[3,2,6,5,4,1]=>7
[3,4,1,2,5,6]=>0
[3,4,1,2,6,5]=>5
[3,4,1,5,2,6]=>2
[3,4,1,5,6,2]=>4
[3,4,1,6,2,5]=>6
[3,4,1,6,5,2]=>7
[3,4,2,1,5,6]=>0
[3,4,2,1,6,5]=>5
[3,4,2,5,1,6]=>0
[3,4,2,5,6,1]=>0
[3,4,2,6,1,5]=>4
[3,4,2,6,5,1]=>4
[3,4,5,1,2,6]=>0
[3,4,5,1,6,2]=>2
[3,4,5,2,1,6]=>0
[3,4,5,2,6,1]=>0
[3,4,5,6,1,2]=>0
[3,4,5,6,2,1]=>0
[3,4,6,1,2,5]=>3
[3,4,6,1,5,2]=>5
[3,4,6,2,1,5]=>3
[3,4,6,2,5,1]=>3
[3,4,6,5,1,2]=>3
[3,4,6,5,2,1]=>3
[3,5,1,2,4,6]=>2
[3,5,1,2,6,4]=>6
[3,5,1,4,2,6]=>4
[3,5,1,4,6,2]=>6
[3,5,1,6,2,4]=>7
[3,5,1,6,4,2]=>8
[3,5,2,1,4,6]=>2
[3,5,2,1,6,4]=>6
[3,5,2,4,1,6]=>2
[3,5,2,4,6,1]=>2
[3,5,2,6,1,4]=>5
[3,5,2,6,4,1]=>5
[3,5,4,1,2,6]=>2
[3,5,4,1,6,2]=>4
[3,5,4,2,1,6]=>2
[3,5,4,2,6,1]=>2
[3,5,4,6,1,2]=>2
[3,5,4,6,2,1]=>2
[3,5,6,1,2,4]=>4
[3,5,6,1,4,2]=>6
[3,5,6,2,1,4]=>4
[3,5,6,2,4,1]=>4
[3,5,6,4,1,2]=>4
[3,5,6,4,2,1]=>4
[3,6,1,2,4,5]=>4
[3,6,1,2,5,4]=>7
[3,6,1,4,2,5]=>6
[3,6,1,4,5,2]=>8
[3,6,1,5,2,4]=>8
[3,6,1,5,4,2]=>9
[3,6,2,1,4,5]=>4
[3,6,2,1,5,4]=>7
[3,6,2,4,1,5]=>4
[3,6,2,4,5,1]=>4
[3,6,2,5,1,4]=>6
[3,6,2,5,4,1]=>6
[3,6,4,1,2,5]=>4
[3,6,4,1,5,2]=>6
[3,6,4,2,1,5]=>4
[3,6,4,2,5,1]=>4
[3,6,4,5,1,2]=>4
[3,6,4,5,2,1]=>4
[3,6,5,1,2,4]=>5
[3,6,5,1,4,2]=>7
[3,6,5,2,1,4]=>5
[3,6,5,2,4,1]=>5
[3,6,5,4,1,2]=>5
[3,6,5,4,2,1]=>5
[4,1,2,3,5,6]=>0
[4,1,2,3,6,5]=>5
[4,1,2,5,3,6]=>3
[4,1,2,5,6,3]=>6
[4,1,2,6,3,5]=>7
[4,1,2,6,5,3]=>8
[4,1,3,2,5,6]=>2
[4,1,3,2,6,5]=>7
[4,1,3,5,2,6]=>4
[4,1,3,5,6,2]=>6
[4,1,3,6,2,5]=>8
[4,1,3,6,5,2]=>9
[4,1,5,2,3,6]=>4
[4,1,5,2,6,3]=>7
[4,1,5,3,2,6]=>5
[4,1,5,3,6,2]=>7
[4,1,5,6,2,3]=>7
[4,1,5,6,3,2]=>8
[4,1,6,2,3,5]=>7
[4,1,6,2,5,3]=>9
[4,1,6,3,2,5]=>8
[4,1,6,3,5,2]=>10
[4,1,6,5,2,3]=>9
[4,1,6,5,3,2]=>10
[4,2,1,3,5,6]=>0
[4,2,1,3,6,5]=>5
[4,2,1,5,3,6]=>3
[4,2,1,5,6,3]=>6
[4,2,1,6,3,5]=>7
[4,2,1,6,5,3]=>8
[4,2,3,1,5,6]=>0
[4,2,3,1,6,5]=>5
[4,2,3,5,1,6]=>0
[4,2,3,5,6,1]=>0
[4,2,3,6,1,5]=>4
[4,2,3,6,5,1]=>4
[4,2,5,1,3,6]=>2
[4,2,5,1,6,3]=>5
[4,2,5,3,1,6]=>2
[4,2,5,3,6,1]=>2
[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]=>7
[4,2,6,3,1,5]=>5
[4,2,6,3,5,1]=>5
[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]=>5
[4,3,1,5,2,6]=>2
[4,3,1,5,6,2]=>4
[4,3,1,6,2,5]=>6
[4,3,1,6,5,2]=>7
[4,3,2,1,5,6]=>0
[4,3,2,1,6,5]=>5
[4,3,2,5,1,6]=>0
[4,3,2,5,6,1]=>0
[4,3,2,6,1,5]=>4
[4,3,2,6,5,1]=>4
[4,3,5,1,2,6]=>0
[4,3,5,1,6,2]=>2
[4,3,5,2,1,6]=>0
[4,3,5,2,6,1]=>0
[4,3,5,6,1,2]=>0
[4,3,5,6,2,1]=>0
[4,3,6,1,2,5]=>3
[4,3,6,1,5,2]=>5
[4,3,6,2,1,5]=>3
[4,3,6,2,5,1]=>3
[4,3,6,5,1,2]=>3
[4,3,6,5,2,1]=>3
[4,5,1,2,3,6]=>0
[4,5,1,2,6,3]=>3
[4,5,1,3,2,6]=>2
[4,5,1,3,6,2]=>4
[4,5,1,6,2,3]=>4
[4,5,1,6,3,2]=>5
[4,5,2,1,3,6]=>0
[4,5,2,1,6,3]=>3
[4,5,2,3,1,6]=>0
[4,5,2,3,6,1]=>0
[4,5,2,6,1,3]=>2
[4,5,2,6,3,1]=>2
[4,5,3,1,2,6]=>0
[4,5,3,1,6,2]=>2
[4,5,3,2,1,6]=>0
[4,5,3,2,6,1]=>0
[4,5,3,6,1,2]=>0
[4,5,3,6,2,1]=>0
[4,5,6,1,2,3]=>0
[4,5,6,1,3,2]=>2
[4,5,6,2,1,3]=>0
[4,5,6,2,3,1]=>0
[4,5,6,3,1,2]=>0
[4,5,6,3,2,1]=>0
[4,6,1,2,3,5]=>2
[4,6,1,2,5,3]=>5
[4,6,1,3,2,5]=>4
[4,6,1,3,5,2]=>6
[4,6,1,5,2,3]=>6
[4,6,1,5,3,2]=>7
[4,6,2,1,3,5]=>2
[4,6,2,1,5,3]=>5
[4,6,2,3,1,5]=>2
[4,6,2,3,5,1]=>2
[4,6,2,5,1,3]=>4
[4,6,2,5,3,1]=>4
[4,6,3,1,2,5]=>2
[4,6,3,1,5,2]=>4
[4,6,3,2,1,5]=>2
[4,6,3,2,5,1]=>2
[4,6,3,5,1,2]=>2
[4,6,3,5,2,1]=>2
[4,6,5,1,2,3]=>2
[4,6,5,1,3,2]=>4
[4,6,5,2,1,3]=>2
[4,6,5,2,3,1]=>2
[4,6,5,3,1,2]=>2
[4,6,5,3,2,1]=>2
[5,1,2,3,4,6]=>0
[5,1,2,3,6,4]=>4
[5,1,2,4,3,6]=>3
[5,1,2,4,6,3]=>6
[5,1,2,6,3,4]=>6
[5,1,2,6,4,3]=>7
[5,1,3,2,4,6]=>2
[5,1,3,2,6,4]=>6
[5,1,3,4,2,6]=>4
[5,1,3,4,6,2]=>6
[5,1,3,6,2,4]=>7
[5,1,3,6,4,2]=>8
[5,1,4,2,3,6]=>4
[5,1,4,2,6,3]=>7
[5,1,4,3,2,6]=>5
[5,1,4,3,6,2]=>7
[5,1,4,6,2,3]=>7
[5,1,4,6,3,2]=>8
[5,1,6,2,3,4]=>6
[5,1,6,2,4,3]=>8
[5,1,6,3,2,4]=>7
[5,1,6,3,4,2]=>9
[5,1,6,4,2,3]=>8
[5,1,6,4,3,2]=>9
[5,2,1,3,4,6]=>0
[5,2,1,3,6,4]=>4
[5,2,1,4,3,6]=>3
[5,2,1,4,6,3]=>6
[5,2,1,6,3,4]=>6
[5,2,1,6,4,3]=>7
[5,2,3,1,4,6]=>0
[5,2,3,1,6,4]=>4
[5,2,3,4,1,6]=>0
[5,2,3,4,6,1]=>0
[5,2,3,6,1,4]=>3
[5,2,3,6,4,1]=>3
[5,2,4,1,3,6]=>2
[5,2,4,1,6,3]=>5
[5,2,4,3,1,6]=>2
[5,2,4,3,6,1]=>2
[5,2,4,6,1,3]=>4
[5,2,4,6,3,1]=>4
[5,2,6,1,3,4]=>4
[5,2,6,1,4,3]=>6
[5,2,6,3,1,4]=>4
[5,2,6,3,4,1]=>4
[5,2,6,4,1,3]=>5
[5,2,6,4,3,1]=>5
[5,3,1,2,4,6]=>0
[5,3,1,2,6,4]=>4
[5,3,1,4,2,6]=>2
[5,3,1,4,6,2]=>4
[5,3,1,6,2,4]=>5
[5,3,1,6,4,2]=>6
[5,3,2,1,4,6]=>0
[5,3,2,1,6,4]=>4
[5,3,2,4,1,6]=>0
[5,3,2,4,6,1]=>0
[5,3,2,6,1,4]=>3
[5,3,2,6,4,1]=>3
[5,3,4,1,2,6]=>0
[5,3,4,1,6,2]=>2
[5,3,4,2,1,6]=>0
[5,3,4,2,6,1]=>0
[5,3,4,6,1,2]=>0
[5,3,4,6,2,1]=>0
[5,3,6,1,2,4]=>2
[5,3,6,1,4,2]=>4
[5,3,6,2,1,4]=>2
[5,3,6,2,4,1]=>2
[5,3,6,4,1,2]=>2
[5,3,6,4,2,1]=>2
[5,4,1,2,3,6]=>0
[5,4,1,2,6,3]=>3
[5,4,1,3,2,6]=>2
[5,4,1,3,6,2]=>4
[5,4,1,6,2,3]=>4
[5,4,1,6,3,2]=>5
[5,4,2,1,3,6]=>0
[5,4,2,1,6,3]=>3
[5,4,2,3,1,6]=>0
[5,4,2,3,6,1]=>0
[5,4,2,6,1,3]=>2
[5,4,2,6,3,1]=>2
[5,4,3,1,2,6]=>0
[5,4,3,1,6,2]=>2
[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]=>0
[5,4,6,1,3,2]=>2
[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]=>0
[5,6,1,2,4,3]=>3
[5,6,1,3,2,4]=>2
[5,6,1,3,4,2]=>4
[5,6,1,4,2,3]=>4
[5,6,1,4,3,2]=>5
[5,6,2,1,3,4]=>0
[5,6,2,1,4,3]=>3
[5,6,2,3,1,4]=>0
[5,6,2,3,4,1]=>0
[5,6,2,4,1,3]=>2
[5,6,2,4,3,1]=>2
[5,6,3,1,2,4]=>0
[5,6,3,1,4,2]=>2
[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]=>0
[5,6,4,1,3,2]=>2
[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]=>0
[6,1,2,3,5,4]=>4
[6,1,2,4,3,5]=>3
[6,1,2,4,5,3]=>6
[6,1,2,5,3,4]=>6
[6,1,2,5,4,3]=>7
[6,1,3,2,4,5]=>2
[6,1,3,2,5,4]=>6
[6,1,3,4,2,5]=>4
[6,1,3,4,5,2]=>6
[6,1,3,5,2,4]=>7
[6,1,3,5,4,2]=>8
[6,1,4,2,3,5]=>4
[6,1,4,2,5,3]=>7
[6,1,4,3,2,5]=>5
[6,1,4,3,5,2]=>7
[6,1,4,5,2,3]=>7
[6,1,4,5,3,2]=>8
[6,1,5,2,3,4]=>6
[6,1,5,2,4,3]=>8
[6,1,5,3,2,4]=>7
[6,1,5,3,4,2]=>9
[6,1,5,4,2,3]=>8
[6,1,5,4,3,2]=>9
[6,2,1,3,4,5]=>0
[6,2,1,3,5,4]=>4
[6,2,1,4,3,5]=>3
[6,2,1,4,5,3]=>6
[6,2,1,5,3,4]=>6
[6,2,1,5,4,3]=>7
[6,2,3,1,4,5]=>0
[6,2,3,1,5,4]=>4
[6,2,3,4,1,5]=>0
[6,2,3,4,5,1]=>0
[6,2,3,5,1,4]=>3
[6,2,3,5,4,1]=>3
[6,2,4,1,3,5]=>2
[6,2,4,1,5,3]=>5
[6,2,4,3,1,5]=>2
[6,2,4,3,5,1]=>2
[6,2,4,5,1,3]=>4
[6,2,4,5,3,1]=>4
[6,2,5,1,3,4]=>4
[6,2,5,1,4,3]=>6
[6,2,5,3,1,4]=>4
[6,2,5,3,4,1]=>4
[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]=>4
[6,3,1,4,2,5]=>2
[6,3,1,4,5,2]=>4
[6,3,1,5,2,4]=>5
[6,3,1,5,4,2]=>6
[6,3,2,1,4,5]=>0
[6,3,2,1,5,4]=>4
[6,3,2,4,1,5]=>0
[6,3,2,4,5,1]=>0
[6,3,2,5,1,4]=>3
[6,3,2,5,4,1]=>3
[6,3,4,1,2,5]=>0
[6,3,4,1,5,2]=>2
[6,3,4,2,1,5]=>0
[6,3,4,2,5,1]=>0
[6,3,4,5,1,2]=>0
[6,3,4,5,2,1]=>0
[6,3,5,1,2,4]=>2
[6,3,5,1,4,2]=>4
[6,3,5,2,1,4]=>2
[6,3,5,2,4,1]=>2
[6,3,5,4,1,2]=>2
[6,3,5,4,2,1]=>2
[6,4,1,2,3,5]=>0
[6,4,1,2,5,3]=>3
[6,4,1,3,2,5]=>2
[6,4,1,3,5,2]=>4
[6,4,1,5,2,3]=>4
[6,4,1,5,3,2]=>5
[6,4,2,1,3,5]=>0
[6,4,2,1,5,3]=>3
[6,4,2,3,1,5]=>0
[6,4,2,3,5,1]=>0
[6,4,2,5,1,3]=>2
[6,4,2,5,3,1]=>2
[6,4,3,1,2,5]=>0
[6,4,3,1,5,2]=>2
[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]=>0
[6,4,5,1,3,2]=>2
[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]=>0
[6,5,1,2,4,3]=>3
[6,5,1,3,2,4]=>2
[6,5,1,3,4,2]=>4
[6,5,1,4,2,3]=>4
[6,5,1,4,3,2]=>5
[6,5,2,1,3,4]=>0
[6,5,2,1,4,3]=>3
[6,5,2,3,1,4]=>0
[6,5,2,3,4,1]=>0
[6,5,2,4,1,3]=>2
[6,5,2,4,3,1]=>2
[6,5,3,1,2,4]=>0
[6,5,3,1,4,2]=>2
[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]=>0
[6,5,4,1,3,2]=>2
[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]=>0
[1,2,3,4,5,7,6]=>6
[1,2,3,4,6,5,7]=>5
[1,2,3,4,6,7,5]=>10
[1,2,3,4,7,5,6]=>10
[1,2,3,4,7,6,5]=>11
[1,2,3,5,4,6,7]=>4
[1,2,3,5,4,7,6]=>10
[1,2,3,5,6,4,7]=>8
[1,2,3,5,6,7,4]=>12
[1,2,3,5,7,4,6]=>13
[1,2,3,5,7,6,4]=>14
[1,2,3,6,4,5,7]=>8
[1,2,3,6,4,7,5]=>13
[1,2,3,6,5,4,7]=>9
[1,2,3,6,5,7,4]=>13
[1,2,3,6,7,4,5]=>13
[1,2,3,6,7,5,4]=>14
[1,2,3,7,4,5,6]=>12
[1,2,3,7,4,6,5]=>14
[1,2,3,7,5,4,6]=>13
[1,2,3,7,5,6,4]=>15
[1,2,3,7,6,4,5]=>14
[1,2,3,7,6,5,4]=>15
[1,2,4,3,5,6,7]=>3
[1,2,4,3,5,7,6]=>9
[1,2,4,3,6,5,7]=>8
[1,2,4,3,6,7,5]=>13
[1,2,4,3,7,5,6]=>13
[1,2,4,3,7,6,5]=>14
[1,2,4,5,3,6,7]=>6
[1,2,4,5,3,7,6]=>12
[1,2,4,5,6,3,7]=>9
[1,2,4,5,6,7,3]=>12
[1,2,4,5,7,3,6]=>14
[1,2,4,5,7,6,3]=>15
[1,2,4,6,3,5,7]=>10
[1,2,4,6,3,7,5]=>15
[1,2,4,6,5,3,7]=>11
[1,2,4,6,5,7,3]=>14
[1,2,4,6,7,3,5]=>15
[1,2,4,6,7,5,3]=>16
[1,2,4,7,3,5,6]=>14
[1,2,4,7,3,6,5]=>16
[1,2,4,7,5,3,6]=>15
[1,2,4,7,5,6,3]=>17
[1,2,4,7,6,3,5]=>16
[1,2,4,7,6,5,3]=>17
[1,2,5,3,4,6,7]=>6
[1,2,5,3,4,7,6]=>12
[1,2,5,3,6,4,7]=>10
[1,2,5,3,6,7,4]=>14
[1,2,5,3,7,4,6]=>15
[1,2,5,3,7,6,4]=>16
[1,2,5,4,3,6,7]=>7
[1,2,5,4,3,7,6]=>13
[1,2,5,4,6,3,7]=>10
[1,2,5,4,6,7,3]=>13
[1,2,5,4,7,3,6]=>15
[1,2,5,4,7,6,3]=>16
[1,2,5,6,3,4,7]=>10
[1,2,5,6,3,7,4]=>14
[1,2,5,6,4,3,7]=>11
[1,2,5,6,4,7,3]=>14
[1,2,5,6,7,3,4]=>14
[1,2,5,6,7,4,3]=>15
[1,2,5,7,3,4,6]=>14
[1,2,5,7,3,6,4]=>16
[1,2,5,7,4,3,6]=>15
[1,2,5,7,4,6,3]=>17
[1,2,5,7,6,3,4]=>16
[1,2,5,7,6,4,3]=>17
[1,2,6,3,4,5,7]=>9
[1,2,6,3,4,7,5]=>14
[1,2,6,3,5,4,7]=>11
[1,2,6,3,5,7,4]=>15
[1,2,6,3,7,4,5]=>15
[1,2,6,3,7,5,4]=>16
[1,2,6,4,3,5,7]=>10
[1,2,6,4,3,7,5]=>15
[1,2,6,4,5,3,7]=>12
[1,2,6,4,5,7,3]=>15
[1,2,6,4,7,3,5]=>16
[1,2,6,4,7,5,3]=>17
[1,2,6,5,3,4,7]=>11
[1,2,6,5,3,7,4]=>15
[1,2,6,5,4,3,7]=>12
[1,2,6,5,4,7,3]=>15
[1,2,6,5,7,3,4]=>15
[1,2,6,5,7,4,3]=>16
[1,2,6,7,3,4,5]=>14
[1,2,6,7,3,5,4]=>16
[1,2,6,7,4,3,5]=>15
[1,2,6,7,4,5,3]=>17
[1,2,6,7,5,3,4]=>16
[1,2,6,7,5,4,3]=>17
[1,2,7,3,4,5,6]=>12
[1,2,7,3,4,6,5]=>15
[1,2,7,3,5,4,6]=>14
[1,2,7,3,5,6,4]=>17
[1,2,7,3,6,4,5]=>16
[1,2,7,3,6,5,4]=>17
[1,2,7,4,3,5,6]=>13
[1,2,7,4,3,6,5]=>16
[1,2,7,4,5,3,6]=>15
[1,2,7,4,5,6,3]=>18
[1,2,7,4,6,3,5]=>17
[1,2,7,4,6,5,3]=>18
[1,2,7,5,3,4,6]=>14
[1,2,7,5,3,6,4]=>17
[1,2,7,5,4,3,6]=>15
[1,2,7,5,4,6,3]=>18
[1,2,7,5,6,3,4]=>17
[1,2,7,5,6,4,3]=>18
[1,2,7,6,3,4,5]=>15
[1,2,7,6,3,5,4]=>17
[1,2,7,6,4,3,5]=>16
[1,2,7,6,4,5,3]=>18
[1,2,7,6,5,3,4]=>17
[1,2,7,6,5,4,3]=>18
[1,3,2,4,5,6,7]=>2
[1,3,2,4,5,7,6]=>8
[1,3,2,4,6,5,7]=>7
[1,3,2,4,6,7,5]=>12
[1,3,2,4,7,5,6]=>12
[1,3,2,4,7,6,5]=>13
[1,3,2,5,4,6,7]=>6
[1,3,2,5,4,7,6]=>12
[1,3,2,5,6,4,7]=>10
[1,3,2,5,6,7,4]=>14
[1,3,2,5,7,4,6]=>15
[1,3,2,5,7,6,4]=>16
[1,3,2,6,4,5,7]=>10
[1,3,2,6,4,7,5]=>15
[1,3,2,6,5,4,7]=>11
[1,3,2,6,5,7,4]=>15
[1,3,2,6,7,4,5]=>15
[1,3,2,6,7,5,4]=>16
[1,3,2,7,4,5,6]=>14
[1,3,2,7,4,6,5]=>16
[1,3,2,7,5,4,6]=>15
[1,3,2,7,5,6,4]=>17
[1,3,2,7,6,4,5]=>16
[1,3,2,7,6,5,4]=>17
[1,3,4,2,5,6,7]=>4
[1,3,4,2,5,7,6]=>10
[1,3,4,2,6,5,7]=>9
[1,3,4,2,6,7,5]=>14
[1,3,4,2,7,5,6]=>14
[1,3,4,2,7,6,5]=>15
[1,3,4,5,2,6,7]=>6
[1,3,4,5,2,7,6]=>12
[1,3,4,5,6,2,7]=>8
[1,3,4,5,6,7,2]=>10
[1,3,4,5,7,2,6]=>13
[1,3,4,5,7,6,2]=>14
[1,3,4,6,2,5,7]=>10
[1,3,4,6,2,7,5]=>15
[1,3,4,6,5,2,7]=>11
[1,3,4,6,5,7,2]=>13
[1,3,4,6,7,2,5]=>15
[1,3,4,6,7,5,2]=>16
[1,3,4,7,2,5,6]=>14
[1,3,4,7,2,6,5]=>16
[1,3,4,7,5,2,6]=>15
[1,3,4,7,5,6,2]=>17
[1,3,4,7,6,2,5]=>16
[1,3,4,7,6,5,2]=>17
[1,3,5,2,4,6,7]=>7
[1,3,5,2,4,7,6]=>13
[1,3,5,2,6,4,7]=>11
[1,3,5,2,6,7,4]=>15
[1,3,5,2,7,4,6]=>16
[1,3,5,2,7,6,4]=>17
[1,3,5,4,2,6,7]=>8
[1,3,5,4,2,7,6]=>14
[1,3,5,4,6,2,7]=>10
[1,3,5,4,6,7,2]=>12
[1,3,5,4,7,2,6]=>15
[1,3,5,4,7,6,2]=>16
[1,3,5,6,2,4,7]=>11
[1,3,5,6,2,7,4]=>15
[1,3,5,6,4,2,7]=>12
[1,3,5,6,4,7,2]=>14
[1,3,5,6,7,2,4]=>15
[1,3,5,6,7,4,2]=>16
[1,3,5,7,2,4,6]=>15
[1,3,5,7,2,6,4]=>17
[1,3,5,7,4,2,6]=>16
[1,3,5,7,4,6,2]=>18
[1,3,5,7,6,2,4]=>17
[1,3,5,7,6,4,2]=>18
[1,3,6,2,4,5,7]=>10
[1,3,6,2,4,7,5]=>15
[1,3,6,2,5,4,7]=>12
[1,3,6,2,5,7,4]=>16
[1,3,6,2,7,4,5]=>16
[1,3,6,2,7,5,4]=>17
[1,3,6,4,2,5,7]=>11
[1,3,6,4,2,7,5]=>16
[1,3,6,4,5,2,7]=>13
[1,3,6,4,5,7,2]=>15
[1,3,6,4,7,2,5]=>17
[1,3,6,4,7,5,2]=>18
[1,3,6,5,2,4,7]=>12
[1,3,6,5,2,7,4]=>16
[1,3,6,5,4,2,7]=>13
[1,3,6,5,4,7,2]=>15
[1,3,6,5,7,2,4]=>16
[1,3,6,5,7,4,2]=>17
[1,3,6,7,2,4,5]=>15
[1,3,6,7,2,5,4]=>17
[1,3,6,7,4,2,5]=>16
[1,3,6,7,4,5,2]=>18
[1,3,6,7,5,2,4]=>17
[1,3,6,7,5,4,2]=>18
[1,3,7,2,4,5,6]=>13
[1,3,7,2,4,6,5]=>16
[1,3,7,2,5,4,6]=>15
[1,3,7,2,5,6,4]=>18
[1,3,7,2,6,4,5]=>17
[1,3,7,2,6,5,4]=>18
[1,3,7,4,2,5,6]=>14
[1,3,7,4,2,6,5]=>17
[1,3,7,4,5,2,6]=>16
[1,3,7,4,5,6,2]=>18
[1,3,7,4,6,2,5]=>18
[1,3,7,4,6,5,2]=>19
[1,3,7,5,2,4,6]=>15
[1,3,7,5,2,6,4]=>18
[1,3,7,5,4,2,6]=>16
[1,3,7,5,4,6,2]=>18
[1,3,7,5,6,2,4]=>18
[1,3,7,5,6,4,2]=>19
[1,3,7,6,2,4,5]=>16
[1,3,7,6,2,5,4]=>18
[1,3,7,6,4,2,5]=>17
[1,3,7,6,4,5,2]=>19
[1,3,7,6,5,2,4]=>18
[1,3,7,6,5,4,2]=>19
[1,4,2,3,5,6,7]=>4
[1,4,2,3,5,7,6]=>10
[1,4,2,3,6,5,7]=>9
[1,4,2,3,6,7,5]=>14
[1,4,2,3,7,5,6]=>14
[1,4,2,3,7,6,5]=>15
[1,4,2,5,3,6,7]=>7
[1,4,2,5,3,7,6]=>13
[1,4,2,5,6,3,7]=>10
[1,4,2,5,6,7,3]=>13
[1,4,2,5,7,3,6]=>15
[1,4,2,5,7,6,3]=>16
[1,4,2,6,3,5,7]=>11
[1,4,2,6,3,7,5]=>16
[1,4,2,6,5,3,7]=>12
[1,4,2,6,5,7,3]=>15
[1,4,2,6,7,3,5]=>16
[1,4,2,6,7,5,3]=>17
[1,4,2,7,3,5,6]=>15
[1,4,2,7,3,6,5]=>17
[1,4,2,7,5,3,6]=>16
[1,4,2,7,5,6,3]=>18
[1,4,2,7,6,3,5]=>17
[1,4,2,7,6,5,3]=>18
[1,4,3,2,5,6,7]=>5
[1,4,3,2,5,7,6]=>11
[1,4,3,2,6,5,7]=>10
[1,4,3,2,6,7,5]=>15
[1,4,3,2,7,5,6]=>15
[1,4,3,2,7,6,5]=>16
[1,4,3,5,2,6,7]=>7
[1,4,3,5,2,7,6]=>13
[1,4,3,5,6,2,7]=>9
[1,4,3,5,6,7,2]=>11
[1,4,3,5,7,2,6]=>14
[1,4,3,5,7,6,2]=>15
[1,4,3,6,2,5,7]=>11
[1,4,3,6,2,7,5]=>16
[1,4,3,6,5,2,7]=>12
[1,4,3,6,5,7,2]=>14
[1,4,3,6,7,2,5]=>16
[1,4,3,6,7,5,2]=>17
[1,4,3,7,2,5,6]=>15
[1,4,3,7,2,6,5]=>17
[1,4,3,7,5,2,6]=>16
[1,4,3,7,5,6,2]=>18
[1,4,3,7,6,2,5]=>17
[1,4,3,7,6,5,2]=>18
[1,4,5,2,3,6,7]=>7
[1,4,5,2,3,7,6]=>13
[1,4,5,2,6,3,7]=>10
[1,4,5,2,6,7,3]=>13
[1,4,5,2,7,3,6]=>15
[1,4,5,2,7,6,3]=>16
[1,4,5,3,2,6,7]=>8
[1,4,5,3,2,7,6]=>14
[1,4,5,3,6,2,7]=>10
[1,4,5,3,6,7,2]=>12
[1,4,5,3,7,2,6]=>15
[1,4,5,3,7,6,2]=>16
[1,4,5,6,2,3,7]=>10
[1,4,5,6,2,7,3]=>13
[1,4,5,6,3,2,7]=>11
[1,4,5,6,3,7,2]=>13
[1,4,5,6,7,2,3]=>13
[1,4,5,6,7,3,2]=>14
[1,4,5,7,2,3,6]=>14
[1,4,5,7,2,6,3]=>16
[1,4,5,7,3,2,6]=>15
[1,4,5,7,3,6,2]=>17
[1,4,5,7,6,2,3]=>16
[1,4,5,7,6,3,2]=>17
[1,4,6,2,3,5,7]=>10
[1,4,6,2,3,7,5]=>15
[1,4,6,2,5,3,7]=>12
[1,4,6,2,5,7,3]=>15
[1,4,6,2,7,3,5]=>16
[1,4,6,2,7,5,3]=>17
[1,4,6,3,2,5,7]=>11
[1,4,6,3,2,7,5]=>16
[1,4,6,3,5,2,7]=>13
[1,4,6,3,5,7,2]=>15
[1,4,6,3,7,2,5]=>17
[1,4,6,3,7,5,2]=>18
[1,4,6,5,2,3,7]=>12
[1,4,6,5,2,7,3]=>15
[1,4,6,5,3,2,7]=>13
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Description
The number of cells which are not occupied by the same tile in all reduced pipe dreams corresponding to a permutation.
Precisely the 132-avoiding permutations have only one associated reduced pipe dream.
Precisely the 132-avoiding permutations have only one associated reduced pipe dream.
References
[1] Bergeron, N., Billey, S. RC-graphs and Schubert polynomials MathSciNet:1281474
Created
Jan 22, 2022 at 12:00 by Martin Rubey
Updated
Jan 22, 2022 at 12:10 by Martin Rubey
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