Identifier
- St000457: Permutations ⟶ ℤ
Values
=>
[1]=>0
[1,2]=>0
[2,1]=>0
[1,2,3]=>0
[1,3,2]=>1
[2,1,3]=>1
[2,3,1]=>0
[3,1,2]=>0
[3,2,1]=>1
[1,2,3,4]=>0
[1,2,4,3]=>2
[1,3,2,4]=>2
[1,3,4,2]=>2
[1,4,2,3]=>2
[1,4,3,2]=>4
[2,1,3,4]=>2
[2,1,4,3]=>4
[2,3,1,4]=>2
[2,3,4,1]=>0
[2,4,1,3]=>2
[2,4,3,1]=>2
[3,1,2,4]=>2
[3,1,4,2]=>2
[3,2,1,4]=>4
[3,2,4,1]=>2
[3,4,1,2]=>0
[3,4,2,1]=>2
[4,1,2,3]=>0
[4,1,3,2]=>2
[4,2,1,3]=>2
[4,2,3,1]=>2
[4,3,1,2]=>2
[4,3,2,1]=>4
[1,2,3,4,5]=>0
[1,2,3,5,4]=>3
[1,2,4,3,5]=>3
[1,2,4,5,3]=>4
[1,2,5,3,4]=>4
[1,2,5,4,3]=>7
[1,3,2,4,5]=>3
[1,3,2,5,4]=>6
[1,3,4,2,5]=>4
[1,3,4,5,2]=>3
[1,3,5,2,4]=>5
[1,3,5,4,2]=>6
[1,4,2,3,5]=>4
[1,4,2,5,3]=>5
[1,4,3,2,5]=>7
[1,4,3,5,2]=>6
[1,4,5,2,3]=>4
[1,4,5,3,2]=>7
[1,5,2,3,4]=>3
[1,5,2,4,3]=>6
[1,5,3,2,4]=>6
[1,5,3,4,2]=>7
[1,5,4,2,3]=>7
[1,5,4,3,2]=>10
[2,1,3,4,5]=>3
[2,1,3,5,4]=>6
[2,1,4,3,5]=>6
[2,1,4,5,3]=>7
[2,1,5,3,4]=>7
[2,1,5,4,3]=>10
[2,3,1,4,5]=>4
[2,3,1,5,4]=>7
[2,3,4,1,5]=>3
[2,3,4,5,1]=>0
[2,3,5,1,4]=>4
[2,3,5,4,1]=>3
[2,4,1,3,5]=>5
[2,4,1,5,3]=>6
[2,4,3,1,5]=>6
[2,4,3,5,1]=>3
[2,4,5,1,3]=>3
[2,4,5,3,1]=>4
[2,5,1,3,4]=>4
[2,5,1,4,3]=>7
[2,5,3,1,4]=>5
[2,5,3,4,1]=>4
[2,5,4,1,3]=>6
[2,5,4,3,1]=>7
[3,1,2,4,5]=>4
[3,1,2,5,4]=>7
[3,1,4,2,5]=>5
[3,1,4,5,2]=>4
[3,1,5,2,4]=>6
[3,1,5,4,2]=>7
[3,2,1,4,5]=>7
[3,2,1,5,4]=>10
[3,2,4,1,5]=>6
[3,2,4,5,1]=>3
[3,2,5,1,4]=>7
[3,2,5,4,1]=>6
[3,4,1,2,5]=>4
[3,4,1,5,2]=>3
[3,4,2,1,5]=>7
[3,4,2,5,1]=>4
[3,4,5,1,2]=>0
[3,4,5,2,1]=>3
[3,5,1,2,4]=>3
[3,5,1,4,2]=>4
[3,5,2,1,4]=>6
[3,5,2,4,1]=>5
[3,5,4,1,2]=>3
[3,5,4,2,1]=>6
[4,1,2,3,5]=>3
[4,1,2,5,3]=>4
[4,1,3,2,5]=>6
[4,1,3,5,2]=>5
[4,1,5,2,3]=>3
[4,1,5,3,2]=>6
[4,2,1,3,5]=>6
[4,2,1,5,3]=>7
[4,2,3,1,5]=>7
[4,2,3,5,1]=>4
[4,2,5,1,3]=>4
[4,2,5,3,1]=>5
[4,3,1,2,5]=>7
[4,3,1,5,2]=>6
[4,3,2,1,5]=>10
[4,3,2,5,1]=>7
[4,3,5,1,2]=>3
[4,3,5,2,1]=>6
[4,5,1,2,3]=>0
[4,5,1,3,2]=>3
[4,5,2,1,3]=>3
[4,5,2,3,1]=>4
[4,5,3,1,2]=>4
[4,5,3,2,1]=>7
[5,1,2,3,4]=>0
[5,1,2,4,3]=>3
[5,1,3,2,4]=>3
[5,1,3,4,2]=>4
[5,1,4,2,3]=>4
[5,1,4,3,2]=>7
[5,2,1,3,4]=>3
[5,2,1,4,3]=>6
[5,2,3,1,4]=>4
[5,2,3,4,1]=>3
[5,2,4,1,3]=>5
[5,2,4,3,1]=>6
[5,3,1,2,4]=>4
[5,3,1,4,2]=>5
[5,3,2,1,4]=>7
[5,3,2,4,1]=>6
[5,3,4,1,2]=>4
[5,3,4,2,1]=>7
[5,4,1,2,3]=>3
[5,4,1,3,2]=>6
[5,4,2,1,3]=>6
[5,4,2,3,1]=>7
[5,4,3,1,2]=>7
[5,4,3,2,1]=>10
[1,2,3,4,5,6]=>0
[1,2,3,4,6,5]=>4
[1,2,3,5,4,6]=>4
[1,2,3,5,6,4]=>6
[1,2,3,6,4,5]=>6
[1,2,3,6,5,4]=>10
[1,2,4,3,5,6]=>4
[1,2,4,3,6,5]=>8
[1,2,4,5,3,6]=>6
[1,2,4,5,6,3]=>6
[1,2,4,6,3,5]=>8
[1,2,4,6,5,3]=>10
[1,2,5,3,4,6]=>6
[1,2,5,3,6,4]=>8
[1,2,5,4,3,6]=>10
[1,2,5,4,6,3]=>10
[1,2,5,6,3,4]=>8
[1,2,5,6,4,3]=>12
[1,2,6,3,4,5]=>6
[1,2,6,3,5,4]=>10
[1,2,6,4,3,5]=>10
[1,2,6,4,5,3]=>12
[1,2,6,5,3,4]=>12
[1,2,6,5,4,3]=>16
[1,3,2,4,5,6]=>4
[1,3,2,4,6,5]=>8
[1,3,2,5,4,6]=>8
[1,3,2,5,6,4]=>10
[1,3,2,6,4,5]=>10
[1,3,2,6,5,4]=>14
[1,3,4,2,5,6]=>6
[1,3,4,2,6,5]=>10
[1,3,4,5,2,6]=>6
[1,3,4,5,6,2]=>4
[1,3,4,6,2,5]=>8
[1,3,4,6,5,2]=>8
[1,3,5,2,4,6]=>8
[1,3,5,2,6,4]=>10
[1,3,5,4,2,6]=>10
[1,3,5,4,6,2]=>8
[1,3,5,6,2,4]=>8
[1,3,5,6,4,2]=>10
[1,3,6,2,4,5]=>8
[1,3,6,2,5,4]=>12
[1,3,6,4,2,5]=>10
[1,3,6,4,5,2]=>10
[1,3,6,5,2,4]=>12
[1,3,6,5,4,2]=>14
[1,4,2,3,5,6]=>6
[1,4,2,3,6,5]=>10
[1,4,2,5,3,6]=>8
[1,4,2,5,6,3]=>8
[1,4,2,6,3,5]=>10
[1,4,2,6,5,3]=>12
[1,4,3,2,5,6]=>10
[1,4,3,2,6,5]=>14
[1,4,3,5,2,6]=>10
[1,4,3,5,6,2]=>8
[1,4,3,6,2,5]=>12
[1,4,3,6,5,2]=>12
[1,4,5,2,3,6]=>8
[1,4,5,2,6,3]=>8
[1,4,5,3,2,6]=>12
[1,4,5,3,6,2]=>10
[1,4,5,6,2,3]=>6
[1,4,5,6,3,2]=>10
[1,4,6,2,3,5]=>8
[1,4,6,2,5,3]=>10
[1,4,6,3,2,5]=>12
[1,4,6,3,5,2]=>12
[1,4,6,5,2,3]=>10
[1,4,6,5,3,2]=>14
[1,5,2,3,4,6]=>6
[1,5,2,3,6,4]=>8
[1,5,2,4,3,6]=>10
[1,5,2,4,6,3]=>10
[1,5,2,6,3,4]=>8
[1,5,2,6,4,3]=>12
[1,5,3,2,4,6]=>10
[1,5,3,2,6,4]=>12
[1,5,3,4,2,6]=>12
[1,5,3,4,6,2]=>10
[1,5,3,6,2,4]=>10
[1,5,3,6,4,2]=>12
[1,5,4,2,3,6]=>12
[1,5,4,2,6,3]=>12
[1,5,4,3,2,6]=>16
[1,5,4,3,6,2]=>14
[1,5,4,6,2,3]=>10
[1,5,4,6,3,2]=>14
[1,5,6,2,3,4]=>6
[1,5,6,2,4,3]=>10
[1,5,6,3,2,4]=>10
[1,5,6,3,4,2]=>12
[1,5,6,4,2,3]=>12
[1,5,6,4,3,2]=>16
[1,6,2,3,4,5]=>4
[1,6,2,3,5,4]=>8
[1,6,2,4,3,5]=>8
[1,6,2,4,5,3]=>10
[1,6,2,5,3,4]=>10
[1,6,2,5,4,3]=>14
[1,6,3,2,4,5]=>8
[1,6,3,2,5,4]=>12
[1,6,3,4,2,5]=>10
[1,6,3,4,5,2]=>10
[1,6,3,5,2,4]=>12
[1,6,3,5,4,2]=>14
[1,6,4,2,3,5]=>10
[1,6,4,2,5,3]=>12
[1,6,4,3,2,5]=>14
[1,6,4,3,5,2]=>14
[1,6,4,5,2,3]=>12
[1,6,4,5,3,2]=>16
[1,6,5,2,3,4]=>10
[1,6,5,2,4,3]=>14
[1,6,5,3,2,4]=>14
[1,6,5,3,4,2]=>16
[1,6,5,4,2,3]=>16
[1,6,5,4,3,2]=>20
[2,1,3,4,5,6]=>4
[2,1,3,4,6,5]=>8
[2,1,3,5,4,6]=>8
[2,1,3,5,6,4]=>10
[2,1,3,6,4,5]=>10
[2,1,3,6,5,4]=>14
[2,1,4,3,5,6]=>8
[2,1,4,3,6,5]=>12
[2,1,4,5,3,6]=>10
[2,1,4,5,6,3]=>10
[2,1,4,6,3,5]=>12
[2,1,4,6,5,3]=>14
[2,1,5,3,4,6]=>10
[2,1,5,3,6,4]=>12
[2,1,5,4,3,6]=>14
[2,1,5,4,6,3]=>14
[2,1,5,6,3,4]=>12
[2,1,5,6,4,3]=>16
[2,1,6,3,4,5]=>10
[2,1,6,3,5,4]=>14
[2,1,6,4,3,5]=>14
[2,1,6,4,5,3]=>16
[2,1,6,5,3,4]=>16
[2,1,6,5,4,3]=>20
[2,3,1,4,5,6]=>6
[2,3,1,4,6,5]=>10
[2,3,1,5,4,6]=>10
[2,3,1,5,6,4]=>12
[2,3,1,6,4,5]=>12
[2,3,1,6,5,4]=>16
[2,3,4,1,5,6]=>6
[2,3,4,1,6,5]=>10
[2,3,4,5,1,6]=>4
[2,3,4,5,6,1]=>0
[2,3,4,6,1,5]=>6
[2,3,4,6,5,1]=>4
[2,3,5,1,4,6]=>8
[2,3,5,1,6,4]=>10
[2,3,5,4,1,6]=>8
[2,3,5,4,6,1]=>4
[2,3,5,6,1,4]=>6
[2,3,5,6,4,1]=>6
[2,3,6,1,4,5]=>8
[2,3,6,1,5,4]=>12
[2,3,6,4,1,5]=>8
[2,3,6,4,5,1]=>6
[2,3,6,5,1,4]=>10
[2,3,6,5,4,1]=>10
[2,4,1,3,5,6]=>8
[2,4,1,3,6,5]=>12
[2,4,1,5,3,6]=>10
[2,4,1,5,6,3]=>10
[2,4,1,6,3,5]=>12
[2,4,1,6,5,3]=>14
[2,4,3,1,5,6]=>10
[2,4,3,1,6,5]=>14
[2,4,3,5,1,6]=>8
[2,4,3,5,6,1]=>4
[2,4,3,6,1,5]=>10
[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]=>10
[2,4,5,3,6,1]=>6
[2,4,5,6,1,3]=>4
[2,4,5,6,3,1]=>6
[2,4,6,1,3,5]=>8
[2,4,6,1,5,3]=>10
[2,4,6,3,1,5]=>10
[2,4,6,3,5,1]=>8
[2,4,6,5,1,3]=>8
[2,4,6,5,3,1]=>10
[2,5,1,3,4,6]=>8
[2,5,1,3,6,4]=>10
[2,5,1,4,3,6]=>12
[2,5,1,4,6,3]=>12
[2,5,1,6,3,4]=>10
[2,5,1,6,4,3]=>14
[2,5,3,1,4,6]=>10
[2,5,3,1,6,4]=>12
[2,5,3,4,1,6]=>10
[2,5,3,4,6,1]=>6
[2,5,3,6,1,4]=>8
[2,5,3,6,4,1]=>8
[2,5,4,1,3,6]=>12
[2,5,4,1,6,3]=>12
[2,5,4,3,1,6]=>14
[2,5,4,3,6,1]=>10
[2,5,4,6,1,3]=>8
[2,5,4,6,3,1]=>10
[2,5,6,1,3,4]=>6
[2,5,6,1,4,3]=>10
[2,5,6,3,1,4]=>8
[2,5,6,3,4,1]=>8
[2,5,6,4,1,3]=>10
[2,5,6,4,3,1]=>12
[2,6,1,3,4,5]=>6
[2,6,1,3,5,4]=>10
[2,6,1,4,3,5]=>10
[2,6,1,4,5,3]=>12
[2,6,1,5,3,4]=>12
[2,6,1,5,4,3]=>16
[2,6,3,1,4,5]=>8
[2,6,3,1,5,4]=>12
[2,6,3,4,1,5]=>8
[2,6,3,4,5,1]=>6
[2,6,3,5,1,4]=>10
[2,6,3,5,4,1]=>10
[2,6,4,1,3,5]=>10
[2,6,4,1,5,3]=>12
[2,6,4,3,1,5]=>12
[2,6,4,3,5,1]=>10
[2,6,4,5,1,3]=>10
[2,6,4,5,3,1]=>12
[2,6,5,1,3,4]=>10
[2,6,5,1,4,3]=>14
[2,6,5,3,1,4]=>12
[2,6,5,3,4,1]=>12
[2,6,5,4,1,3]=>14
[2,6,5,4,3,1]=>16
[3,1,2,4,5,6]=>6
[3,1,2,4,6,5]=>10
[3,1,2,5,4,6]=>10
[3,1,2,5,6,4]=>12
[3,1,2,6,4,5]=>12
[3,1,2,6,5,4]=>16
[3,1,4,2,5,6]=>8
[3,1,4,2,6,5]=>12
[3,1,4,5,2,6]=>8
[3,1,4,5,6,2]=>6
[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]=>12
[3,1,5,4,2,6]=>12
[3,1,5,4,6,2]=>10
[3,1,5,6,2,4]=>10
[3,1,5,6,4,2]=>12
[3,1,6,2,4,5]=>10
[3,1,6,2,5,4]=>14
[3,1,6,4,2,5]=>12
[3,1,6,4,5,2]=>12
[3,1,6,5,2,4]=>14
[3,1,6,5,4,2]=>16
[3,2,1,4,5,6]=>10
[3,2,1,4,6,5]=>14
[3,2,1,5,4,6]=>14
[3,2,1,5,6,4]=>16
[3,2,1,6,4,5]=>16
[3,2,1,6,5,4]=>20
[3,2,4,1,5,6]=>10
[3,2,4,1,6,5]=>14
[3,2,4,5,1,6]=>8
[3,2,4,5,6,1]=>4
[3,2,4,6,1,5]=>10
[3,2,4,6,5,1]=>8
[3,2,5,1,4,6]=>12
[3,2,5,1,6,4]=>14
[3,2,5,4,1,6]=>12
[3,2,5,4,6,1]=>8
[3,2,5,6,1,4]=>10
[3,2,5,6,4,1]=>10
[3,2,6,1,4,5]=>12
[3,2,6,1,5,4]=>16
[3,2,6,4,1,5]=>12
[3,2,6,4,5,1]=>10
[3,2,6,5,1,4]=>14
[3,2,6,5,4,1]=>14
[3,4,1,2,5,6]=>8
[3,4,1,2,6,5]=>12
[3,4,1,5,2,6]=>8
[3,4,1,5,6,2]=>6
[3,4,1,6,2,5]=>10
[3,4,1,6,5,2]=>10
[3,4,2,1,5,6]=>12
[3,4,2,1,6,5]=>16
[3,4,2,5,1,6]=>10
[3,4,2,5,6,1]=>6
[3,4,2,6,1,5]=>12
[3,4,2,6,5,1]=>10
[3,4,5,1,2,6]=>6
[3,4,5,1,6,2]=>4
[3,4,5,2,1,6]=>10
[3,4,5,2,6,1]=>6
[3,4,5,6,1,2]=>0
[3,4,5,6,2,1]=>4
[3,4,6,1,2,5]=>6
[3,4,6,1,5,2]=>6
[3,4,6,2,1,5]=>10
[3,4,6,2,5,1]=>8
[3,4,6,5,1,2]=>4
[3,4,6,5,2,1]=>8
[3,5,1,2,4,6]=>8
[3,5,1,2,6,4]=>10
[3,5,1,4,2,6]=>10
[3,5,1,4,6,2]=>8
[3,5,1,6,2,4]=>8
[3,5,1,6,4,2]=>10
[3,5,2,1,4,6]=>12
[3,5,2,1,6,4]=>14
[3,5,2,4,1,6]=>12
[3,5,2,4,6,1]=>8
[3,5,2,6,1,4]=>10
[3,5,2,6,4,1]=>10
[3,5,4,1,2,6]=>10
[3,5,4,1,6,2]=>8
[3,5,4,2,1,6]=>14
[3,5,4,2,6,1]=>10
[3,5,4,6,1,2]=>4
[3,5,4,6,2,1]=>8
[3,5,6,1,2,4]=>4
[3,5,6,1,4,2]=>6
[3,5,6,2,1,4]=>8
[3,5,6,2,4,1]=>8
[3,5,6,4,1,2]=>6
[3,5,6,4,2,1]=>10
[3,6,1,2,4,5]=>6
[3,6,1,2,5,4]=>10
[3,6,1,4,2,5]=>8
[3,6,1,4,5,2]=>8
[3,6,1,5,2,4]=>10
[3,6,1,5,4,2]=>12
[3,6,2,1,4,5]=>10
[3,6,2,1,5,4]=>14
[3,6,2,4,1,5]=>10
[3,6,2,4,5,1]=>8
[3,6,2,5,1,4]=>12
[3,6,2,5,4,1]=>12
[3,6,4,1,2,5]=>8
[3,6,4,1,5,2]=>8
[3,6,4,2,1,5]=>12
[3,6,4,2,5,1]=>10
[3,6,4,5,1,2]=>6
[3,6,4,5,2,1]=>10
[3,6,5,1,2,4]=>8
[3,6,5,1,4,2]=>10
[3,6,5,2,1,4]=>12
[3,6,5,2,4,1]=>12
[3,6,5,4,1,2]=>10
[3,6,5,4,2,1]=>14
[4,1,2,3,5,6]=>6
[4,1,2,3,6,5]=>10
[4,1,2,5,3,6]=>8
[4,1,2,5,6,3]=>8
[4,1,2,6,3,5]=>10
[4,1,2,6,5,3]=>12
[4,1,3,2,5,6]=>10
[4,1,3,2,6,5]=>14
[4,1,3,5,2,6]=>10
[4,1,3,5,6,2]=>8
[4,1,3,6,2,5]=>12
[4,1,3,6,5,2]=>12
[4,1,5,2,3,6]=>8
[4,1,5,2,6,3]=>8
[4,1,5,3,2,6]=>12
[4,1,5,3,6,2]=>10
[4,1,5,6,2,3]=>6
[4,1,5,6,3,2]=>10
[4,1,6,2,3,5]=>8
[4,1,6,2,5,3]=>10
[4,1,6,3,2,5]=>12
[4,1,6,3,5,2]=>12
[4,1,6,5,2,3]=>10
[4,1,6,5,3,2]=>14
[4,2,1,3,5,6]=>10
[4,2,1,3,6,5]=>14
[4,2,1,5,3,6]=>12
[4,2,1,5,6,3]=>12
[4,2,1,6,3,5]=>14
[4,2,1,6,5,3]=>16
[4,2,3,1,5,6]=>12
[4,2,3,1,6,5]=>16
[4,2,3,5,1,6]=>10
[4,2,3,5,6,1]=>6
[4,2,3,6,1,5]=>12
[4,2,3,6,5,1]=>10
[4,2,5,1,3,6]=>10
[4,2,5,1,6,3]=>10
[4,2,5,3,1,6]=>12
[4,2,5,3,6,1]=>8
[4,2,5,6,1,3]=>6
[4,2,5,6,3,1]=>8
[4,2,6,1,3,5]=>10
[4,2,6,1,5,3]=>12
[4,2,6,3,1,5]=>12
[4,2,6,3,5,1]=>10
[4,2,6,5,1,3]=>10
[4,2,6,5,3,1]=>12
[4,3,1,2,5,6]=>12
[4,3,1,2,6,5]=>16
[4,3,1,5,2,6]=>12
[4,3,1,5,6,2]=>10
[4,3,1,6,2,5]=>14
[4,3,1,6,5,2]=>14
[4,3,2,1,5,6]=>16
[4,3,2,1,6,5]=>20
[4,3,2,5,1,6]=>14
[4,3,2,5,6,1]=>10
[4,3,2,6,1,5]=>16
[4,3,2,6,5,1]=>14
[4,3,5,1,2,6]=>10
[4,3,5,1,6,2]=>8
[4,3,5,2,1,6]=>14
[4,3,5,2,6,1]=>10
[4,3,5,6,1,2]=>4
[4,3,5,6,2,1]=>8
[4,3,6,1,2,5]=>10
[4,3,6,1,5,2]=>10
[4,3,6,2,1,5]=>14
[4,3,6,2,5,1]=>12
[4,3,6,5,1,2]=>8
[4,3,6,5,2,1]=>12
[4,5,1,2,3,6]=>6
[4,5,1,2,6,3]=>6
[4,5,1,3,2,6]=>10
[4,5,1,3,6,2]=>8
[4,5,1,6,2,3]=>4
[4,5,1,6,3,2]=>8
[4,5,2,1,3,6]=>10
[4,5,2,1,6,3]=>10
[4,5,2,3,1,6]=>12
[4,5,2,3,6,1]=>8
[4,5,2,6,1,3]=>6
[4,5,2,6,3,1]=>8
[4,5,3,1,2,6]=>12
[4,5,3,1,6,2]=>10
[4,5,3,2,1,6]=>16
[4,5,3,2,6,1]=>12
[4,5,3,6,1,2]=>6
[4,5,3,6,2,1]=>10
[4,5,6,1,2,3]=>0
[4,5,6,1,3,2]=>4
[4,5,6,2,1,3]=>4
[4,5,6,2,3,1]=>6
[4,5,6,3,1,2]=>6
[4,5,6,3,2,1]=>10
[4,6,1,2,3,5]=>4
[4,6,1,2,5,3]=>6
[4,6,1,3,2,5]=>8
[4,6,1,3,5,2]=>8
[4,6,1,5,2,3]=>6
[4,6,1,5,3,2]=>10
[4,6,2,1,3,5]=>8
[4,6,2,1,5,3]=>10
[4,6,2,3,1,5]=>10
[4,6,2,3,5,1]=>8
[4,6,2,5,1,3]=>8
[4,6,2,5,3,1]=>10
[4,6,3,1,2,5]=>10
[4,6,3,1,5,2]=>10
[4,6,3,2,1,5]=>14
[4,6,3,2,5,1]=>12
[4,6,3,5,1,2]=>8
[4,6,3,5,2,1]=>12
[4,6,5,1,2,3]=>4
[4,6,5,1,3,2]=>8
[4,6,5,2,1,3]=>8
[4,6,5,2,3,1]=>10
[4,6,5,3,1,2]=>10
[4,6,5,3,2,1]=>14
[5,1,2,3,4,6]=>4
[5,1,2,3,6,4]=>6
[5,1,2,4,3,6]=>8
[5,1,2,4,6,3]=>8
[5,1,2,6,3,4]=>6
[5,1,2,6,4,3]=>10
[5,1,3,2,4,6]=>8
[5,1,3,2,6,4]=>10
[5,1,3,4,2,6]=>10
[5,1,3,4,6,2]=>8
[5,1,3,6,2,4]=>8
[5,1,3,6,4,2]=>10
[5,1,4,2,3,6]=>10
[5,1,4,2,6,3]=>10
[5,1,4,3,2,6]=>14
[5,1,4,3,6,2]=>12
[5,1,4,6,2,3]=>8
[5,1,4,6,3,2]=>12
[5,1,6,2,3,4]=>4
[5,1,6,2,4,3]=>8
[5,1,6,3,2,4]=>8
[5,1,6,3,4,2]=>10
[5,1,6,4,2,3]=>10
[5,1,6,4,3,2]=>14
[5,2,1,3,4,6]=>8
[5,2,1,3,6,4]=>10
[5,2,1,4,3,6]=>12
[5,2,1,4,6,3]=>12
[5,2,1,6,3,4]=>10
[5,2,1,6,4,3]=>14
[5,2,3,1,4,6]=>10
[5,2,3,1,6,4]=>12
[5,2,3,4,1,6]=>10
[5,2,3,4,6,1]=>6
[5,2,3,6,1,4]=>8
[5,2,3,6,4,1]=>8
[5,2,4,1,3,6]=>12
[5,2,4,1,6,3]=>12
[5,2,4,3,1,6]=>14
[5,2,4,3,6,1]=>10
[5,2,4,6,1,3]=>8
[5,2,4,6,3,1]=>10
[5,2,6,1,3,4]=>6
[5,2,6,1,4,3]=>10
[5,2,6,3,1,4]=>8
[5,2,6,3,4,1]=>8
[5,2,6,4,1,3]=>10
[5,2,6,4,3,1]=>12
[5,3,1,2,4,6]=>10
[5,3,1,2,6,4]=>12
[5,3,1,4,2,6]=>12
[5,3,1,4,6,2]=>10
[5,3,1,6,2,4]=>10
[5,3,1,6,4,2]=>12
[5,3,2,1,4,6]=>14
[5,3,2,1,6,4]=>16
[5,3,2,4,1,6]=>14
[5,3,2,4,6,1]=>10
[5,3,2,6,1,4]=>12
[5,3,2,6,4,1]=>12
[5,3,4,1,2,6]=>12
[5,3,4,1,6,2]=>10
[5,3,4,2,1,6]=>16
[5,3,4,2,6,1]=>12
[5,3,4,6,1,2]=>6
[5,3,4,6,2,1]=>10
[5,3,6,1,2,4]=>6
[5,3,6,1,4,2]=>8
[5,3,6,2,1,4]=>10
[5,3,6,2,4,1]=>10
[5,3,6,4,1,2]=>8
[5,3,6,4,2,1]=>12
[5,4,1,2,3,6]=>10
[5,4,1,2,6,3]=>10
[5,4,1,3,2,6]=>14
[5,4,1,3,6,2]=>12
[5,4,1,6,2,3]=>8
[5,4,1,6,3,2]=>12
[5,4,2,1,3,6]=>14
[5,4,2,1,6,3]=>14
[5,4,2,3,1,6]=>16
[5,4,2,3,6,1]=>12
[5,4,2,6,1,3]=>10
[5,4,2,6,3,1]=>12
[5,4,3,1,2,6]=>16
[5,4,3,1,6,2]=>14
[5,4,3,2,1,6]=>20
[5,4,3,2,6,1]=>16
[5,4,3,6,1,2]=>10
[5,4,3,6,2,1]=>14
[5,4,6,1,2,3]=>4
[5,4,6,1,3,2]=>8
[5,4,6,2,1,3]=>8
[5,4,6,2,3,1]=>10
[5,4,6,3,1,2]=>10
[5,4,6,3,2,1]=>14
[5,6,1,2,3,4]=>0
[5,6,1,2,4,3]=>4
[5,6,1,3,2,4]=>4
[5,6,1,3,4,2]=>6
[5,6,1,4,2,3]=>6
[5,6,1,4,3,2]=>10
[5,6,2,1,3,4]=>4
[5,6,2,1,4,3]=>8
[5,6,2,3,1,4]=>6
[5,6,2,3,4,1]=>6
[5,6,2,4,1,3]=>8
[5,6,2,4,3,1]=>10
[5,6,3,1,2,4]=>6
[5,6,3,1,4,2]=>8
[5,6,3,2,1,4]=>10
[5,6,3,2,4,1]=>10
[5,6,3,4,1,2]=>8
[5,6,3,4,2,1]=>12
[5,6,4,1,2,3]=>6
[5,6,4,1,3,2]=>10
[5,6,4,2,1,3]=>10
[5,6,4,2,3,1]=>12
[5,6,4,3,1,2]=>12
[5,6,4,3,2,1]=>16
[6,1,2,3,4,5]=>0
[6,1,2,3,5,4]=>4
[6,1,2,4,3,5]=>4
[6,1,2,4,5,3]=>6
[6,1,2,5,3,4]=>6
[6,1,2,5,4,3]=>10
[6,1,3,2,4,5]=>4
[6,1,3,2,5,4]=>8
[6,1,3,4,2,5]=>6
[6,1,3,4,5,2]=>6
[6,1,3,5,2,4]=>8
[6,1,3,5,4,2]=>10
[6,1,4,2,3,5]=>6
[6,1,4,2,5,3]=>8
[6,1,4,3,2,5]=>10
[6,1,4,3,5,2]=>10
[6,1,4,5,2,3]=>8
[6,1,4,5,3,2]=>12
[6,1,5,2,3,4]=>6
[6,1,5,2,4,3]=>10
[6,1,5,3,2,4]=>10
[6,1,5,3,4,2]=>12
[6,1,5,4,2,3]=>12
[6,1,5,4,3,2]=>16
[6,2,1,3,4,5]=>4
[6,2,1,3,5,4]=>8
[6,2,1,4,3,5]=>8
[6,2,1,4,5,3]=>10
[6,2,1,5,3,4]=>10
[6,2,1,5,4,3]=>14
[6,2,3,1,4,5]=>6
[6,2,3,1,5,4]=>10
[6,2,3,4,1,5]=>6
[6,2,3,4,5,1]=>4
[6,2,3,5,1,4]=>8
[6,2,3,5,4,1]=>8
[6,2,4,1,3,5]=>8
[6,2,4,1,5,3]=>10
[6,2,4,3,1,5]=>10
[6,2,4,3,5,1]=>8
[6,2,4,5,1,3]=>8
[6,2,4,5,3,1]=>10
[6,2,5,1,3,4]=>8
[6,2,5,1,4,3]=>12
[6,2,5,3,1,4]=>10
[6,2,5,3,4,1]=>10
[6,2,5,4,1,3]=>12
[6,2,5,4,3,1]=>14
[6,3,1,2,4,5]=>6
[6,3,1,2,5,4]=>10
[6,3,1,4,2,5]=>8
[6,3,1,4,5,2]=>8
[6,3,1,5,2,4]=>10
[6,3,1,5,4,2]=>12
[6,3,2,1,4,5]=>10
[6,3,2,1,5,4]=>14
[6,3,2,4,1,5]=>10
[6,3,2,4,5,1]=>8
[6,3,2,5,1,4]=>12
[6,3,2,5,4,1]=>12
[6,3,4,1,2,5]=>8
[6,3,4,1,5,2]=>8
[6,3,4,2,1,5]=>12
[6,3,4,2,5,1]=>10
[6,3,4,5,1,2]=>6
[6,3,4,5,2,1]=>10
[6,3,5,1,2,4]=>8
[6,3,5,1,4,2]=>10
[6,3,5,2,1,4]=>12
[6,3,5,2,4,1]=>12
[6,3,5,4,1,2]=>10
[6,3,5,4,2,1]=>14
[6,4,1,2,3,5]=>6
[6,4,1,2,5,3]=>8
[6,4,1,3,2,5]=>10
[6,4,1,3,5,2]=>10
[6,4,1,5,2,3]=>8
[6,4,1,5,3,2]=>12
[6,4,2,1,3,5]=>10
[6,4,2,1,5,3]=>12
[6,4,2,3,1,5]=>12
[6,4,2,3,5,1]=>10
[6,4,2,5,1,3]=>10
[6,4,2,5,3,1]=>12
[6,4,3,1,2,5]=>12
[6,4,3,1,5,2]=>12
[6,4,3,2,1,5]=>16
[6,4,3,2,5,1]=>14
[6,4,3,5,1,2]=>10
[6,4,3,5,2,1]=>14
[6,4,5,1,2,3]=>6
[6,4,5,1,3,2]=>10
[6,4,5,2,1,3]=>10
[6,4,5,2,3,1]=>12
[6,4,5,3,1,2]=>12
[6,4,5,3,2,1]=>16
[6,5,1,2,3,4]=>4
[6,5,1,2,4,3]=>8
[6,5,1,3,2,4]=>8
[6,5,1,3,4,2]=>10
[6,5,1,4,2,3]=>10
[6,5,1,4,3,2]=>14
[6,5,2,1,3,4]=>8
[6,5,2,1,4,3]=>12
[6,5,2,3,1,4]=>10
[6,5,2,3,4,1]=>10
[6,5,2,4,1,3]=>12
[6,5,2,4,3,1]=>14
[6,5,3,1,2,4]=>10
[6,5,3,1,4,2]=>12
[6,5,3,2,1,4]=>14
[6,5,3,2,4,1]=>14
[6,5,3,4,1,2]=>12
[6,5,3,4,2,1]=>16
[6,5,4,1,2,3]=>10
[6,5,4,1,3,2]=>14
[6,5,4,2,1,3]=>14
[6,5,4,2,3,1]=>16
[6,5,4,3,1,2]=>16
[6,5,4,3,2,1]=>20
[1,2,3,4,5,6,7]=>0
[1,2,3,4,5,7,6]=>5
[1,2,3,4,6,5,7]=>5
[1,2,3,4,6,7,5]=>8
[1,2,3,4,7,5,6]=>8
[1,2,3,4,7,6,5]=>13
[1,2,3,5,4,6,7]=>5
[1,2,3,5,4,7,6]=>10
[1,2,3,5,6,4,7]=>8
[1,2,3,5,6,7,4]=>9
[1,2,3,5,7,4,6]=>11
[1,2,3,5,7,6,4]=>14
[1,2,3,6,4,5,7]=>8
[1,2,3,6,4,7,5]=>11
[1,2,3,6,5,4,7]=>13
[1,2,3,6,5,7,4]=>14
[1,2,3,6,7,4,5]=>12
[1,2,3,6,7,5,4]=>17
[1,2,3,7,4,5,6]=>9
[1,2,3,7,4,6,5]=>14
[1,2,3,7,5,4,6]=>14
[1,2,3,7,5,6,4]=>17
[1,2,3,7,6,4,5]=>17
[1,2,3,7,6,5,4]=>22
[1,2,4,3,5,6,7]=>5
[1,2,4,3,5,7,6]=>10
[1,2,4,3,6,5,7]=>10
[1,2,4,3,6,7,5]=>13
[1,2,4,3,7,5,6]=>13
[1,2,4,3,7,6,5]=>18
[1,2,4,5,3,6,7]=>8
[1,2,4,5,3,7,6]=>13
[1,2,4,5,6,3,7]=>9
[1,2,4,5,6,7,3]=>8
[1,2,4,5,7,3,6]=>12
[1,2,4,5,7,6,3]=>13
[1,2,4,6,3,5,7]=>11
[1,2,4,6,3,7,5]=>14
[1,2,4,6,5,3,7]=>14
[1,2,4,6,5,7,3]=>13
[1,2,4,6,7,3,5]=>13
[1,2,4,6,7,5,3]=>16
[1,2,4,7,3,5,6]=>12
[1,2,4,7,3,6,5]=>17
[1,2,4,7,5,3,6]=>15
[1,2,4,7,5,6,3]=>16
[1,2,4,7,6,3,5]=>18
[1,2,4,7,6,5,3]=>21
[1,2,5,3,4,6,7]=>8
[1,2,5,3,4,7,6]=>13
[1,2,5,3,6,4,7]=>11
[1,2,5,3,6,7,4]=>12
[1,2,5,3,7,4,6]=>14
[1,2,5,3,7,6,4]=>17
[1,2,5,4,3,6,7]=>13
[1,2,5,4,3,7,6]=>18
[1,2,5,4,6,3,7]=>14
[1,2,5,4,6,7,3]=>13
[1,2,5,4,7,3,6]=>17
[1,2,5,4,7,6,3]=>18
[1,2,5,6,3,4,7]=>12
[1,2,5,6,3,7,4]=>13
[1,2,5,6,4,3,7]=>17
[1,2,5,6,4,7,3]=>16
[1,2,5,6,7,3,4]=>12
[1,2,5,6,7,4,3]=>17
[1,2,5,7,3,4,6]=>13
[1,2,5,7,3,6,4]=>16
[1,2,5,7,4,3,6]=>18
[1,2,5,7,4,6,3]=>19
[1,2,5,7,6,3,4]=>17
[1,2,5,7,6,4,3]=>22
[1,2,6,3,4,5,7]=>9
[1,2,6,3,4,7,5]=>12
[1,2,6,3,5,4,7]=>14
[1,2,6,3,5,7,4]=>15
[1,2,6,3,7,4,5]=>13
[1,2,6,3,7,5,4]=>18
[1,2,6,4,3,5,7]=>14
[1,2,6,4,3,7,5]=>17
[1,2,6,4,5,3,7]=>17
[1,2,6,4,5,7,3]=>16
[1,2,6,4,7,3,5]=>16
[1,2,6,4,7,5,3]=>19
[1,2,6,5,3,4,7]=>17
[1,2,6,5,3,7,4]=>18
[1,2,6,5,4,3,7]=>22
[1,2,6,5,4,7,3]=>21
[1,2,6,5,7,3,4]=>17
[1,2,6,5,7,4,3]=>22
[1,2,6,7,3,4,5]=>12
[1,2,6,7,3,5,4]=>17
[1,2,6,7,4,3,5]=>17
[1,2,6,7,4,5,3]=>20
[1,2,6,7,5,3,4]=>20
[1,2,6,7,5,4,3]=>25
[1,2,7,3,4,5,6]=>8
[1,2,7,3,4,6,5]=>13
[1,2,7,3,5,4,6]=>13
[1,2,7,3,5,6,4]=>16
[1,2,7,3,6,4,5]=>16
[1,2,7,3,6,5,4]=>21
[1,2,7,4,3,5,6]=>13
[1,2,7,4,3,6,5]=>18
[1,2,7,4,5,3,6]=>16
[1,2,7,4,5,6,3]=>17
[1,2,7,4,6,3,5]=>19
[1,2,7,4,6,5,3]=>22
[1,2,7,5,3,4,6]=>16
[1,2,7,5,3,6,4]=>19
[1,2,7,5,4,3,6]=>21
[1,2,7,5,4,6,3]=>22
[1,2,7,5,6,3,4]=>20
[1,2,7,5,6,4,3]=>25
[1,2,7,6,3,4,5]=>17
[1,2,7,6,3,5,4]=>22
[1,2,7,6,4,3,5]=>22
[1,2,7,6,4,5,3]=>25
[1,2,7,6,5,3,4]=>25
[1,2,7,6,5,4,3]=>30
[1,3,2,4,5,6,7]=>5
[1,3,2,4,5,7,6]=>10
[1,3,2,4,6,5,7]=>10
[1,3,2,4,6,7,5]=>13
[1,3,2,4,7,5,6]=>13
[1,3,2,4,7,6,5]=>18
[1,3,2,5,4,6,7]=>10
[1,3,2,5,4,7,6]=>15
[1,3,2,5,6,4,7]=>13
[1,3,2,5,6,7,4]=>14
[1,3,2,5,7,4,6]=>16
[1,3,2,5,7,6,4]=>19
[1,3,2,6,4,5,7]=>13
[1,3,2,6,4,7,5]=>16
[1,3,2,6,5,4,7]=>18
[1,3,2,6,5,7,4]=>19
[1,3,2,6,7,4,5]=>17
[1,3,2,6,7,5,4]=>22
[1,3,2,7,4,5,6]=>14
[1,3,2,7,4,6,5]=>19
[1,3,2,7,5,4,6]=>19
[1,3,2,7,5,6,4]=>22
[1,3,2,7,6,4,5]=>22
[1,3,2,7,6,5,4]=>27
[1,3,4,2,5,6,7]=>8
[1,3,4,2,5,7,6]=>13
[1,3,4,2,6,5,7]=>13
[1,3,4,2,6,7,5]=>16
[1,3,4,2,7,5,6]=>16
[1,3,4,2,7,6,5]=>21
[1,3,4,5,2,6,7]=>9
[1,3,4,5,2,7,6]=>14
[1,3,4,5,6,2,7]=>8
[1,3,4,5,6,7,2]=>5
[1,3,4,5,7,2,6]=>11
[1,3,4,5,7,6,2]=>10
[1,3,4,6,2,5,7]=>12
[1,3,4,6,2,7,5]=>15
[1,3,4,6,5,2,7]=>13
[1,3,4,6,5,7,2]=>10
[1,3,4,6,7,2,5]=>12
[1,3,4,6,7,5,2]=>13
[1,3,4,7,2,5,6]=>13
[1,3,4,7,2,6,5]=>18
[1,3,4,7,5,2,6]=>14
[1,3,4,7,5,6,2]=>13
[1,3,4,7,6,2,5]=>17
[1,3,4,7,6,5,2]=>18
[1,3,5,2,4,6,7]=>11
[1,3,5,2,4,7,6]=>16
[1,3,5,2,6,4,7]=>14
[1,3,5,2,6,7,4]=>15
[1,3,5,2,7,4,6]=>17
[1,3,5,2,7,6,4]=>20
[1,3,5,4,2,6,7]=>14
[1,3,5,4,2,7,6]=>19
[1,3,5,4,6,2,7]=>13
[1,3,5,4,6,7,2]=>10
[1,3,5,4,7,2,6]=>16
[1,3,5,4,7,6,2]=>15
[1,3,5,6,2,4,7]=>13
[1,3,5,6,2,7,4]=>14
[1,3,5,6,4,2,7]=>16
[1,3,5,6,4,7,2]=>13
[1,3,5,6,7,2,4]=>11
[1,3,5,6,7,4,2]=>14
[1,3,5,7,2,4,6]=>14
[1,3,5,7,2,6,4]=>17
[1,3,5,7,4,2,6]=>17
[1,3,5,7,4,6,2]=>16
[1,3,5,7,6,2,4]=>16
[1,3,5,7,6,4,2]=>19
[1,3,6,2,4,5,7]=>12
[1,3,6,2,4,7,5]=>15
[1,3,6,2,5,4,7]=>17
[1,3,6,2,5,7,4]=>18
[1,3,6,2,7,4,5]=>16
[1,3,6,2,7,5,4]=>21
[1,3,6,4,2,5,7]=>15
[1,3,6,4,2,7,5]=>18
[1,3,6,4,5,2,7]=>16
[1,3,6,4,5,7,2]=>13
[1,3,6,4,7,2,5]=>15
[1,3,6,4,7,5,2]=>16
[1,3,6,5,2,4,7]=>18
[1,3,6,5,2,7,4]=>19
[1,3,6,5,4,2,7]=>21
[1,3,6,5,4,7,2]=>18
[1,3,6,5,7,2,4]=>16
[1,3,6,5,7,4,2]=>19
[1,3,6,7,2,4,5]=>13
[1,3,6,7,2,5,4]=>18
[1,3,6,7,4,2,5]=>16
[1,3,6,7,4,5,2]=>17
[1,3,6,7,5,2,4]=>19
[1,3,6,7,5,4,2]=>22
[1,3,7,2,4,5,6]=>11
[1,3,7,2,4,6,5]=>16
[1,3,7,2,5,4,6]=>16
[1,3,7,2,5,6,4]=>19
[1,3,7,2,6,4,5]=>19
[1,3,7,2,6,5,4]=>24
[1,3,7,4,2,5,6]=>14
[1,3,7,4,2,6,5]=>19
[1,3,7,4,5,2,6]=>15
[1,3,7,4,5,6,2]=>14
[1,3,7,4,6,2,5]=>18
[1,3,7,4,6,5,2]=>19
[1,3,7,5,2,4,6]=>17
[1,3,7,5,2,6,4]=>20
[1,3,7,5,4,2,6]=>20
[1,3,7,5,4,6,2]=>19
[1,3,7,5,6,2,4]=>19
[1,3,7,5,6,4,2]=>22
[1,3,7,6,2,4,5]=>18
[1,3,7,6,2,5,4]=>23
[1,3,7,6,4,2,5]=>21
[1,3,7,6,4,5,2]=>22
[1,3,7,6,5,2,4]=>24
[1,3,7,6,5,4,2]=>27
[1,4,2,3,5,6,7]=>8
[1,4,2,3,5,7,6]=>13
[1,4,2,3,6,5,7]=>13
[1,4,2,3,6,7,5]=>16
[1,4,2,3,7,5,6]=>16
[1,4,2,3,7,6,5]=>21
[1,4,2,5,3,6,7]=>11
[1,4,2,5,3,7,6]=>16
[1,4,2,5,6,3,7]=>12
[1,4,2,5,6,7,3]=>11
[1,4,2,5,7,3,6]=>15
[1,4,2,5,7,6,3]=>16
[1,4,2,6,3,5,7]=>14
[1,4,2,6,3,7,5]=>17
[1,4,2,6,5,3,7]=>17
[1,4,2,6,5,7,3]=>16
[1,4,2,6,7,3,5]=>16
[1,4,2,6,7,5,3]=>19
[1,4,2,7,3,5,6]=>15
[1,4,2,7,3,6,5]=>20
[1,4,2,7,5,3,6]=>18
[1,4,2,7,5,6,3]=>19
[1,4,2,7,6,3,5]=>21
[1,4,2,7,6,5,3]=>24
[1,4,3,2,5,6,7]=>13
[1,4,3,2,5,7,6]=>18
[1,4,3,2,6,5,7]=>18
[1,4,3,2,6,7,5]=>21
[1,4,3,2,7,5,6]=>21
[1,4,3,2,7,6,5]=>26
[1,4,3,5,2,6,7]=>14
[1,4,3,5,2,7,6]=>19
[1,4,3,5,6,2,7]=>13
[1,4,3,5,6,7,2]=>10
[1,4,3,5,7,2,6]=>16
[1,4,3,5,7,6,2]=>15
[1,4,3,6,2,5,7]=>17
[1,4,3,6,2,7,5]=>20
[1,4,3,6,5,2,7]=>18
[1,4,3,6,5,7,2]=>15
[1,4,3,6,7,2,5]=>17
[1,4,3,6,7,5,2]=>18
[1,4,3,7,2,5,6]=>18
[1,4,3,7,2,6,5]=>23
[1,4,3,7,5,2,6]=>19
[1,4,3,7,5,6,2]=>18
[1,4,3,7,6,2,5]=>22
[1,4,3,7,6,5,2]=>23
[1,4,5,2,3,6,7]=>12
[1,4,5,2,3,7,6]=>17
[1,4,5,2,6,3,7]=>13
[1,4,5,2,6,7,3]=>12
[1,4,5,2,7,3,6]=>16
[1,4,5,2,7,6,3]=>17
[1,4,5,3,2,6,7]=>17
[1,4,5,3,2,7,6]=>22
[1,4,5,3,6,2,7]=>16
[1,4,5,3,6,7,2]=>13
[1,4,5,3,7,2,6]=>19
[1,4,5,3,7,6,2]=>18
[1,4,5,6,2,3,7]=>12
[1,4,5,6,2,7,3]=>11
[1,4,5,6,3,2,7]=>17
[1,4,5,6,3,7,2]=>14
[1,4,5,6,7,2,3]=>8
[1,4,5,6,7,3,2]=>13
[1,4,5,7,2,3,6]=>13
[1,4,5,7,2,6,3]=>14
[1,4,5,7,3,2,6]=>18
[1,4,5,7,3,6,2]=>17
[1,4,5,7,6,2,3]=>13
[1,4,5,7,6,3,2]=>18
[1,4,6,2,3,5,7]=>13
[1,4,6,2,3,7,5]=>16
[1,4,6,2,5,3,7]=>16
[1,4,6,2,5,7,3]=>15
[1,4,6,2,7,3,5]=>15
[1,4,6,2,7,5,3]=>18
[1,4,6,3,2,5,7]=>18
[1,4,6,3,2,7,5]=>21
[1,4,6,3,5,2,7]=>19
[1,4,6,3,5,7,2]=>16
[1,4,6,3,7,2,5]=>18
[1,4,6,3,7,5,2]=>19
[1,4,6,5,2,3,7]=>17
[1,4,6,5,2,7,3]=>16
[1,4,6,5,3,2,7]=>22
[1,4,6,5,3,7,2]=>19
[1,4,6,7,2,3,5]=>12
[1,4,6,7,5,3,2]=>21
[1,4,7,2,3,5,6]=>12
[1,4,7,6,5,3,2]=>26
[1,5,2,3,4,7,6]=>14
[1,5,2,7,3,4,6]=>14
[1,5,4,7,6,3,2]=>23
[1,5,6,2,7,3,4]=>12
[1,5,6,4,7,3,2]=>21
[1,5,6,7,2,3,4]=>9
[1,5,6,7,4,3,2]=>22
[1,5,7,2,3,4,6]=>11
[1,5,7,6,4,3,2]=>27
[1,6,2,3,4,7,5]=>11
[1,6,2,3,7,4,5]=>12
[1,6,2,7,3,4,5]=>11
[1,6,5,4,3,7,2]=>27
[1,6,5,4,7,3,2]=>26
[1,6,5,7,4,3,2]=>27
[1,6,7,2,3,4,5]=>8
[1,6,7,5,4,3,2]=>30
[1,7,2,3,4,5,6]=>5
[1,7,3,5,6,4,2]=>21
[1,7,3,6,5,4,2]=>26
[1,7,4,3,6,5,2]=>23
[1,7,4,5,3,6,2]=>21
[1,7,4,5,6,3,2]=>22
[1,7,4,6,5,3,2]=>27
[1,7,5,4,3,6,2]=>26
[1,7,5,4,6,3,2]=>27
[1,7,6,4,5,3,2]=>30
[1,7,6,5,4,3,2]=>35
[2,1,3,4,5,6,7]=>5
[2,1,3,4,7,5,6]=>13
[2,1,3,7,4,5,6]=>14
[2,1,6,3,4,5,7]=>14
[2,1,7,3,4,5,6]=>13
[2,1,7,6,5,4,3]=>35
[2,3,1,4,5,6,7]=>8
[2,3,4,1,5,6,7]=>9
[2,3,4,1,5,7,6]=>14
[2,3,4,5,1,6,7]=>8
[2,3,4,5,1,7,6]=>13
[2,3,4,5,6,1,7]=>5
[2,3,4,5,6,7,1]=>0
[2,3,4,5,7,1,6]=>8
[2,3,4,6,1,7,5]=>14
[2,3,4,6,7,1,5]=>9
[2,3,4,7,1,5,6]=>12
[2,3,5,6,7,1,4]=>8
[2,4,1,3,5,6,7]=>11
[2,5,1,3,4,6,7]=>12
[2,5,7,1,3,4,6]=>12
[2,6,1,3,4,5,7]=>11
[2,6,1,7,3,4,5]=>14
[2,6,5,4,3,1,7]=>27
[2,6,7,1,3,4,5]=>9
[2,7,1,3,4,5,6]=>8
[3,1,2,4,5,6,7]=>8
[3,1,2,4,5,7,6]=>13
[3,2,1,4,5,6,7]=>13
[3,2,4,5,6,7,1]=>5
[3,4,1,2,5,6,7]=>12
[3,4,2,5,6,7,1]=>8
[3,4,5,2,6,7,1]=>9
[3,4,5,6,2,7,1]=>8
[3,4,5,6,7,1,2]=>0
[3,5,6,1,2,4,7]=>12
[3,5,6,4,2,1,7]=>21
[3,6,1,2,4,5,7]=>12
[3,6,5,4,2,1,7]=>26
[4,1,2,3,5,6,7]=>9
[4,1,2,3,5,7,6]=>14
[4,1,6,2,3,5,7]=>14
[4,2,3,5,6,7,1]=>8
[4,2,5,1,3,6,7]=>16
[4,3,2,1,5,6,7]=>22
[4,3,2,5,6,7,1]=>13
[4,3,5,2,6,7,1]=>14
[4,3,6,5,2,1,7]=>23
[4,5,1,6,2,3,7]=>12
[4,5,2,3,6,7,1]=>12
[4,5,3,6,2,1,7]=>21
[4,5,6,1,2,3,7]=>9
[4,5,6,3,2,1,7]=>22
[4,6,1,2,3,5,7]=>11
[4,6,1,2,3,7,5]=>14
[4,6,5,3,2,1,7]=>27
[5,1,2,3,4,6,7]=>8
[5,1,2,3,4,7,6]=>13
[5,1,2,3,6,4,7]=>11
[5,1,2,3,6,7,4]=>12
[5,1,2,3,7,4,6]=>14
[5,1,2,6,3,4,7]=>12
[5,1,6,2,3,4,7]=>11
[5,1,6,2,3,7,4]=>12
[5,2,3,4,6,7,1]=>9
[5,2,6,7,1,3,4]=>9
[5,3,2,4,6,7,1]=>14
[5,3,2,6,1,4,7]=>21
[5,4,3,2,1,6,7]=>30
[5,4,3,2,1,7,6]=>35
[5,4,3,2,6,1,7]=>27
[5,4,3,6,2,1,7]=>26
[5,4,6,3,2,1,7]=>27
[5,6,1,2,3,4,7]=>8
[5,6,1,2,3,7,4]=>9
[5,6,3,4,1,2,7]=>20
[5,6,4,3,2,1,7]=>30
[5,6,7,1,2,3,4]=>0
[6,1,2,3,4,5,7]=>5
[6,1,2,3,4,7,5]=>8
[6,1,2,3,7,4,5]=>9
[6,1,2,7,3,4,5]=>8
[6,2,3,4,5,7,1]=>8
[6,2,4,5,3,1,7]=>21
[6,2,5,4,3,1,7]=>26
[6,3,2,5,4,1,7]=>23
[6,3,4,2,5,1,7]=>21
[6,3,4,5,2,1,7]=>22
[6,3,5,4,2,1,7]=>27
[6,4,3,2,5,1,7]=>26
[6,4,3,2,7,1,5]=>25
[6,4,3,5,2,1,7]=>27
[6,4,7,2,5,1,3]=>15
[6,5,3,4,2,1,7]=>30
[6,5,4,3,2,1,7]=>35
[6,7,1,2,3,4,5]=>0
[6,7,4,5,1,2,3]=>12
[7,1,2,3,4,5,6]=>0
[7,2,1,3,4,5,6]=>5
[7,2,3,1,4,5,6]=>8
[7,2,3,4,1,5,6]=>9
[7,2,3,4,5,1,6]=>8
[7,3,1,2,4,5,6]=>8
[7,3,2,1,4,5,6]=>13
[7,3,2,4,1,5,6]=>14
[7,3,4,1,2,5,6]=>12
[7,4,1,2,3,5,6]=>9
[7,4,2,1,3,5,6]=>14
[7,4,5,6,1,2,3]=>9
[7,5,1,2,3,4,6]=>8
[7,5,6,1,2,3,4]=>8
[7,5,6,3,4,1,2]=>20
[7,6,1,2,3,4,5]=>5
[7,6,4,5,1,2,3]=>17
[7,6,5,1,2,3,4]=>13
[7,6,5,3,4,1,2]=>25
[7,6,5,4,1,2,3]=>22
[7,6,5,4,3,1,2]=>30
[7,6,5,4,3,2,1]=>35
[8,7,6,5,4,3,2,1]=>56
[7,6,8,5,4,3,2,1]=>46
[7,8,5,6,4,3,2,1]=>44
[7,8,6,4,5,3,2,1]=>44
[8,6,7,4,5,3,2,1]=>44
[7,6,5,4,8,3,2,1]=>44
[6,5,7,4,8,3,2,1]=>34
[7,8,6,5,3,4,2,1]=>44
[8,6,7,5,3,4,2,1]=>44
[8,7,5,6,3,4,2,1]=>44
[6,7,8,3,4,5,2,1]=>24
[7,8,6,5,4,2,3,1]=>44
[8,6,7,5,4,2,3,1]=>44
[8,7,5,6,4,2,3,1]=>44
[8,7,6,4,5,2,3,1]=>44
[8,6,5,7,3,2,4,1]=>36
[6,7,8,5,2,3,4,1]=>24
[8,5,6,7,2,3,4,1]=>24
[7,8,3,2,4,5,6,1]=>16
[7,6,5,4,3,2,8,1]=>50
[6,5,7,4,3,2,8,1]=>40
[6,5,4,3,7,2,8,1]=>38
[5,4,6,3,7,2,8,1]=>28
[3,4,5,2,6,7,8,1]=>12
[5,2,3,4,6,7,8,1]=>12
[4,3,2,5,6,7,8,1]=>16
[3,4,2,5,6,7,8,1]=>10
[4,2,3,5,6,7,8,1]=>10
[3,2,4,5,6,7,8,1]=>6
[2,3,4,5,6,7,8,1]=>0
[8,7,6,5,4,3,1,2]=>50
[7,8,6,5,4,3,1,2]=>44
[8,6,7,5,4,3,1,2]=>44
[8,7,5,6,4,3,1,2]=>44
[8,7,6,4,5,3,1,2]=>44
[8,7,6,5,3,4,1,2]=>44
[8,7,5,6,3,4,1,2]=>38
[7,8,5,6,3,4,1,2]=>32
[5,6,7,8,3,4,1,2]=>16
[7,8,3,4,5,6,1,2]=>16
[3,4,5,6,7,8,1,2]=>0
[8,7,6,5,4,2,1,3]=>46
[7,6,8,5,4,2,1,3]=>36
[8,7,6,5,4,1,2,3]=>40
[6,7,8,5,4,1,2,3]=>24
[8,5,6,7,4,1,2,3]=>24
[8,7,6,4,5,1,2,3]=>34
[8,6,7,4,5,1,2,3]=>28
[8,7,4,5,6,1,2,3]=>24
[7,8,4,5,6,1,2,3]=>18
[7,6,5,8,3,2,1,4]=>32
[7,5,6,8,2,3,1,4]=>20
[6,7,5,8,3,1,2,4]=>20
[6,5,7,8,2,1,3,4]=>12
[8,7,6,5,1,2,3,4]=>28
[8,7,5,6,1,2,3,4]=>22
[7,8,5,6,1,2,3,4]=>16
[8,5,6,7,1,2,3,4]=>12
[5,6,7,8,1,2,3,4]=>0
[8,7,6,4,3,2,1,5]=>44
[8,7,6,4,2,1,3,5]=>34
[8,7,6,1,2,3,4,5]=>16
[8,6,7,1,2,3,4,5]=>10
[6,7,8,1,2,3,4,5]=>0
[7,8,5,4,2,1,3,6]=>30
[7,8,5,4,1,2,3,6]=>24
[8,7,1,2,3,4,5,6]=>6
[7,8,1,2,3,4,5,6]=>0
[8,6,5,4,3,2,1,7]=>50
[8,6,5,4,3,1,2,7]=>44
[8,5,6,3,4,1,2,7]=>32
[8,6,5,4,2,1,3,7]=>40
[8,6,4,3,2,1,5,7]=>38
[8,6,4,2,1,3,5,7]=>28
[8,2,3,4,1,5,6,7]=>12
[8,4,1,2,3,5,6,7]=>12
[8,3,2,1,4,5,6,7]=>16
[8,2,3,1,4,5,6,7]=>10
[8,3,1,2,4,5,6,7]=>10
[8,2,1,3,4,5,6,7]=>6
[8,1,2,3,4,5,6,7]=>0
[7,6,5,4,3,2,1,8]=>56
[6,7,5,4,3,2,1,8]=>50
[6,5,7,4,3,2,1,8]=>46
[5,6,7,4,3,2,1,8]=>40
[7,6,4,5,3,2,1,8]=>50
[6,5,4,7,3,2,1,8]=>44
[7,5,6,3,4,2,1,8]=>44
[7,6,4,3,5,2,1,8]=>46
[7,6,3,4,5,2,1,8]=>40
[7,5,4,3,6,2,1,8]=>44
[6,7,5,4,2,3,1,8]=>44
[6,5,7,3,2,4,1,8]=>36
[5,6,7,2,3,4,1,8]=>24
[2,3,4,5,6,7,1,8]=>6
[5,6,7,1,2,3,4,8]=>12
[6,7,1,2,3,4,5,8]=>10
[7,1,2,3,4,5,6,8]=>6
[6,5,4,3,2,1,7,8]=>50
[2,3,4,5,6,1,7,8]=>10
[5,6,3,4,1,2,7,8]=>32
[4,5,6,1,2,3,7,8]=>18
[6,1,2,3,4,5,7,8]=>10
[5,4,3,2,1,6,7,8]=>40
[2,3,4,5,1,6,7,8]=>12
[5,1,2,3,4,6,7,8]=>12
[4,3,2,1,5,6,7,8]=>28
[3,4,1,2,5,6,7,8]=>16
[3,2,1,4,5,6,7,8]=>16
[2,1,3,4,5,6,7,8]=>6
[1,2,3,4,5,6,7,8]=>0
[6,5,8,7,4,3,2,1]=>40
[3,5,8,7,6,4,2,1]=>34
[4,3,6,5,8,7,2,1]=>24
[2,6,8,7,5,4,3,1]=>40
[2,3,5,6,8,7,4,1]=>18
[3,2,6,5,4,8,7,1]=>28
[4,3,6,5,7,2,8,1]=>22
[3,2,6,5,7,4,8,1]=>24
[4,3,5,2,7,6,8,1]=>24
[3,2,5,4,7,6,8,1]=>18
[1,8,7,6,5,4,3,2]=>56
[1,7,8,6,5,4,3,2]=>50
[1,6,8,7,5,4,3,2]=>46
[1,7,6,8,5,4,3,2]=>46
[1,6,7,8,5,4,3,2]=>40
[1,5,8,7,6,4,3,2]=>44
[1,7,6,5,8,4,3,2]=>44
[1,3,5,7,8,6,4,2]=>28
[1,4,3,8,7,6,5,2]=>40
[1,6,5,4,3,8,7,2]=>40
[1,4,3,6,5,8,7,2]=>24
[2,1,8,7,6,5,4,3]=>56
[2,1,6,5,7,4,8,3]=>34
[2,1,5,4,7,6,8,3]=>28
[1,2,6,7,8,5,4,3]=>34
[3,2,1,8,7,6,5,4]=>56
[3,2,1,6,5,8,7,4]=>40
[1,2,3,5,6,7,8,4]=>12
[4,3,2,1,8,7,6,5]=>56
[3,4,2,1,7,8,6,5]=>44
[2,4,3,1,6,8,7,5]=>36
[2,4,3,1,7,6,8,5]=>36
[3,2,4,1,6,8,7,5]=>36
[3,2,4,1,7,6,8,5]=>36
[2,3,4,1,6,7,8,5]=>24
[2,1,4,3,8,7,6,5]=>40
[2,1,4,3,6,8,7,5]=>30
[2,1,4,3,7,6,8,5]=>30
[5,4,3,2,1,8,7,6]=>56
[3,2,5,4,1,8,7,6]=>40
[3,2,1,4,5,8,7,6]=>32
[2,3,1,4,5,7,8,6]=>20
[6,5,4,3,2,1,8,7]=>56
[4,3,5,2,6,1,8,7]=>34
[3,2,5,4,6,1,8,7]=>28
[2,3,4,5,6,1,8,7]=>16
[2,1,6,5,4,3,8,7]=>40
[2,1,4,6,5,3,8,7]=>30
[2,1,5,4,6,3,8,7]=>30
[4,3,2,1,6,5,8,7]=>40
[2,4,3,1,6,5,8,7]=>30
[3,2,4,1,6,5,8,7]=>30
[2,1,4,3,6,5,8,7]=>24
[2,1,3,4,5,6,8,7]=>12
[1,2,3,4,5,6,8,7]=>6
[5,7,6,4,3,2,1,8]=>46
[4,7,6,5,3,2,1,8]=>44
[3,2,7,6,5,4,1,8]=>40
[5,4,3,2,7,6,1,8]=>40
[3,2,5,4,7,6,1,8]=>24
[1,4,3,2,7,6,5,8]=>32
[1,3,4,2,6,7,5,8]=>20
[1,3,2,5,4,7,6,8]=>18
[1,2,3,5,4,7,6,8]=>12
[1,3,2,4,5,7,6,8]=>12
[1,2,3,4,5,7,6,8]=>6
[1,2,4,3,6,5,7,8]=>12
[1,3,2,5,4,6,7,8]=>12
[1,2,3,5,4,6,7,8]=>6
[1,3,2,4,5,6,7,8]=>6
[1,8,4,7,6,5,3,2]=>44
[1,8,5,4,7,6,3,2]=>40
[1,8,7,4,5,6,3,2]=>40
[1,8,7,4,6,5,3,2]=>46
[1,8,6,5,4,7,3,2]=>44
[1,8,7,5,4,6,3,2]=>46
[1,8,7,5,6,4,3,2]=>50
[2,1,4,5,8,6,7,3]=>26
[2,1,8,5,4,7,6,3]=>40
[2,3,4,8,5,6,7,1]=>12
[2,3,6,4,5,1,8,7]=>26
[2,3,7,4,5,6,8,1]=>12
[2,8,4,3,5,7,6,1]=>22
[4,2,3,1,8,6,7,5]=>44
[8,2,7,4,6,5,3,1]=>36
[4,3,2,7,5,6,8,1]=>26
[4,3,2,8,5,7,6,1]=>34
[6,3,2,5,4,1,8,7]=>40
[8,3,2,5,4,7,6,1]=>24
[8,3,2,7,6,5,4,1]=>40
[8,3,7,4,6,5,2,1]=>34
[7,3,6,5,4,2,1,8]=>44
[7,4,3,6,5,2,1,8]=>40
[7,6,3,5,4,2,1,8]=>46
[8,5,4,3,2,7,6,1]=>40
[8,7,4,3,6,5,2,1]=>40
[2,4,6,8,1,3,5,7]=>20
[2,4,6,1,7,3,8,5]=>26
[2,1,4,3,7,5,8,6]=>26
[2,4,1,3,7,5,8,6]=>28
[2,1,4,3,7,8,5,6]=>28
[2,4,7,8,1,3,5,6]=>18
[2,1,4,3,8,5,6,7]=>24
[2,4,5,6,7,1,8,3]=>12
[2,1,5,3,6,4,8,7]=>26
[2,1,5,6,3,4,8,7]=>28
[2,5,6,8,1,3,4,7]=>18
[2,1,5,3,7,4,8,6]=>28
[2,5,1,7,3,4,8,6]=>28
[2,1,5,7,3,8,4,6]=>28
[2,5,7,8,1,3,4,6]=>16
[2,3,5,6,1,7,8,4]=>20
[2,1,6,3,7,4,8,5]=>26
[2,6,7,1,3,4,8,5]=>20
[2,1,6,7,8,3,4,5]=>24
[2,6,7,8,1,3,4,5]=>12
[2,1,6,3,4,7,8,5]=>24
[2,1,6,3,4,5,8,7]=>24
[2,6,1,3,4,5,7,8]=>16
[2,7,8,1,3,4,5,6]=>12
[2,7,1,3,4,5,6,8]=>14
[2,3,4,5,7,8,1,6]=>12
[2,1,8,3,4,5,6,7]=>16
[2,8,1,3,4,5,6,7]=>10
[2,1,3,8,4,5,6,7]=>18
[2,3,4,5,6,8,1,7]=>10
[3,1,4,2,6,5,8,7]=>26
[3,4,1,2,6,5,8,7]=>28
[3,1,4,2,6,8,5,7]=>28
[3,4,6,8,1,2,5,7]=>18
[3,1,4,2,7,5,8,6]=>28
[3,4,1,2,7,8,5,6]=>32
[3,4,7,8,1,2,5,6]=>16
[3,1,5,2,6,4,8,7]=>28
[3,5,1,6,2,4,8,7]=>28
[3,1,5,6,2,8,4,7]=>28
[3,5,6,8,1,2,4,7]=>16
[3,1,5,2,7,4,8,6]=>30
[3,5,1,7,2,8,4,6]=>28
[3,5,7,8,1,2,4,6]=>14
[1,3,2,5,4,8,6,7]=>22
[1,3,5,8,2,4,6,7]=>20
[1,3,5,6,2,7,4,8]=>20
[3,1,6,2,7,4,8,5]=>28
[3,6,7,1,2,8,4,5]=>20
[3,6,1,7,8,2,4,5]=>20
[3,6,7,8,1,2,4,5]=>10
[1,3,2,6,4,7,5,8]=>20
[3,1,2,6,7,4,8,5]=>28
[1,3,2,6,4,8,5,7]=>24
[1,3,2,6,4,5,7,8]=>16
[1,3,2,7,4,8,5,6]=>24
[1,3,2,7,4,5,6,8]=>18
[1,3,2,8,4,5,6,7]=>18
[3,1,2,4,5,8,6,7]=>20
[1,3,2,4,5,8,6,7]=>16
[4,1,5,2,6,3,8,7]=>26
[4,5,6,1,2,3,8,7]=>24
[4,1,5,6,8,2,3,7]=>20
[4,5,6,8,1,2,3,7]=>12
[4,1,5,2,7,3,8,6]=>28
[4,1,5,2,7,8,3,6]=>26
[4,5,7,1,2,8,3,6]=>20
[4,5,1,7,8,2,3,6]=>20
[4,5,7,8,1,2,3,6]=>10
[1,4,2,5,3,7,6,8]=>20
[1,4,2,5,3,8,6,7]=>24
[1,4,2,5,3,6,7,8]=>14
[1,4,5,6,7,2,3,8]=>16
[4,1,6,2,7,3,8,5]=>26
[4,6,7,1,8,2,3,5]=>12
[4,6,7,8,1,2,3,5]=>6
[1,4,2,6,3,7,5,8]=>22
[1,4,2,6,7,8,3,5]=>22
[1,4,2,6,3,8,5,7]=>26
[4,1,2,3,6,5,8,7]=>24
[1,4,2,6,3,5,7,8]=>18
[1,4,2,7,3,8,5,6]=>26
[4,7,1,2,3,5,6,8]=>16
[1,4,2,7,3,5,6,8]=>20
[1,4,2,3,7,5,6,8]=>20
[1,4,2,3,5,7,6,8]=>16
[1,4,2,8,3,5,6,7]=>20
[4,1,2,3,8,5,6,7]=>24
[1,4,2,3,5,8,6,7]=>20
[1,4,2,3,5,6,7,8]=>10
[5,1,6,2,7,3,8,4]=>20
[1,5,2,6,3,7,4,8]=>20
[1,5,2,6,3,8,4,7]=>24
[1,5,2,6,3,4,7,8]=>18
[1,2,5,6,3,4,7,8]=>16
[1,5,2,7,3,8,4,6]=>24
[5,7,1,2,3,4,6,8]=>14
[1,5,2,7,3,4,6,8]=>20
[1,5,2,3,4,7,6,8]=>18
[5,1,2,8,3,4,6,7]=>20
[1,5,2,8,3,4,6,7]=>20
[1,5,8,2,3,4,6,7]=>16
[1,5,2,3,4,8,6,7]=>22
[1,2,3,5,4,8,6,7]=>16
[5,1,2,3,4,6,8,7]=>18
[1,5,2,3,4,6,7,8]=>12
[1,6,2,7,3,8,4,5]=>20
[1,6,7,8,2,3,4,5]=>12
[6,7,1,2,3,4,8,5]=>12
[6,1,7,2,3,4,5,8]=>14
[6,1,2,7,3,4,5,8]=>16
[1,6,2,7,3,4,5,8]=>18
[1,6,7,2,3,4,5,8]=>16
[1,6,2,3,4,7,5,8]=>16
[1,2,3,6,4,7,5,8]=>14
[6,1,8,2,3,4,5,7]=>12
[1,6,2,8,3,4,5,7]=>18
[1,6,8,2,3,4,5,7]=>14
[1,6,2,3,4,8,5,7]=>20
[1,2,3,6,4,8,5,7]=>18
[6,1,2,3,4,5,8,7]=>16
[1,6,2,3,4,5,7,8]=>12
[1,2,3,6,4,5,7,8]=>10
[1,7,2,8,3,4,5,6]=>14
[1,7,8,2,3,4,5,6]=>10
[1,7,2,3,8,4,5,6]=>16
[7,1,2,3,4,8,5,6]=>12
[1,7,2,3,4,8,5,6]=>16
[1,2,3,7,4,8,5,6]=>18
[7,1,2,3,4,5,8,6]=>10
[1,7,2,3,4,5,8,6]=>14
[1,2,7,3,4,5,8,6]=>16
[1,7,2,3,4,5,6,8]=>10
[1,2,3,7,4,5,6,8]=>12
[1,8,2,3,4,5,6,7]=>6
[1,2,3,8,4,5,6,7]=>12
[1,2,3,4,5,8,6,7]=>10
[5,3,2,6,1,4,8,7]=>36
[7,3,2,5,4,8,1,6]=>28
[8,4,5,2,3,7,6,1]=>28
[7,4,5,2,3,8,1,6]=>32
[6,4,5,2,3,1,8,7]=>44
[5,4,6,2,1,3,8,7]=>36
[3,6,1,5,4,2,8,7]=>36
[4,6,5,1,3,2,8,7]=>36
[5,6,4,3,1,2,8,7]=>44
[7,5,4,3,2,8,1,6]=>44
[8,6,4,3,7,2,5,1]=>36
[7,6,4,3,8,2,1,5]=>36
[6,7,4,3,8,1,2,5]=>24
[5,7,4,3,1,8,2,6]=>36
[4,7,5,1,3,8,2,6]=>28
[3,7,1,5,4,8,2,6]=>28
[2,1,7,5,4,8,3,6]=>36
[3,8,1,5,4,7,6,2]=>28
[4,8,5,1,3,7,6,2]=>28
[5,8,4,3,1,7,6,2]=>36
[6,8,4,3,7,1,5,2]=>28
[7,8,4,3,6,5,1,2]=>28
[6,8,5,7,3,1,4,2]=>28
[5,8,6,7,1,3,4,2]=>20
[4,8,6,1,7,3,5,2]=>28
[3,8,1,6,7,4,5,2]=>32
[2,1,8,6,7,4,5,3]=>44
[2,1,7,6,8,4,3,5]=>36
[3,7,1,6,8,4,2,5]=>28
[4,7,6,1,8,3,2,5]=>24
[5,7,6,8,1,3,2,4]=>12
[5,4,7,2,1,8,3,6]=>32
[6,4,7,2,8,1,3,5]=>20
[7,4,6,2,8,3,1,5]=>28
[8,4,6,2,7,3,5,1]=>28
[8,3,2,6,7,4,5,1]=>28
[7,3,2,6,8,4,1,5]=>28
[6,3,2,7,8,1,4,5]=>24
[5,3,2,7,1,8,4,6]=>36
[4,3,2,1,7,8,5,6]=>44
[3,4,1,2,8,7,6,5]=>44
[5,3,2,8,1,7,6,4]=>44
[6,3,2,8,7,1,5,4]=>36
[7,3,2,8,6,5,1,4]=>36
[8,4,7,2,6,5,3,1]=>36
[7,4,8,2,6,5,1,3]=>28
[6,4,8,2,7,1,5,3]=>28
[5,4,8,2,1,7,6,3]=>36
[4,5,8,1,2,7,6,3]=>24
[3,5,1,8,2,7,6,4]=>36
[2,1,5,8,3,7,6,4]=>36
[2,1,6,8,7,3,5,4]=>36
[3,6,1,8,7,2,5,4]=>32
[4,6,8,1,7,2,5,3]=>20
[5,6,8,7,1,2,4,3]=>12
[6,5,8,7,2,1,4,3]=>24
[7,5,8,6,2,4,1,3]=>28
[8,5,7,6,2,4,3,1]=>36
[5,7,8,6,1,4,2,3]=>20
[4,7,8,1,6,5,2,3]=>24
[3,7,1,8,6,5,2,4]=>36
[2,1,7,8,6,5,3,4]=>44
[3,8,1,7,6,5,4,2]=>44
[4,8,7,1,6,5,3,2]=>36
[5,8,7,6,1,4,3,2]=>32
[6,8,7,5,4,1,3,2]=>36
[4,2,5,1,3,6,7,8]=>22
[5,2,6,7,1,3,4,8]=>20
[3,2,7,8,1,4,5,6]=>24
[5,3,2,6,1,4,7,8]=>30
[7,4,3,8,1,2,5,6]=>24
[4,7,3,6,8,1,2,5]=>22
[6,7,3,4,8,1,2,5]=>18
[5,4,2,7,8,1,3,6]=>28
[6,4,7,2,5,1,3,8]=>30
[6,4,3,2,7,1,5,8]=>38
[5,4,3,2,8,1,6,7]=>44
[7,5,3,8,2,6,1,4]=>30
[8,5,4,7,2,6,1,3]=>30
[8,5,4,7,3,6,1,2]=>32
[8,1,2,7,6,3,4,5]=>24
[8,1,4,2,6,3,5,7]=>18
[8,3,1,2,4,7,5,6]=>20
[8,3,1,5,6,2,4,7]=>22
[6,3,8,1,2,7,4,5]=>24
[7,8,4,1,6,2,3,5]=>20
[8,3,4,1,6,7,2,5]=>24
[2,7,6,5,1,3,8,4]=>34
[8,3,6,5,1,7,2,4]=>26
[4,6,7,3,8,5,1,2]=>20
[3,5,2,7,1,8,6,4]=>36
[4,6,7,2,8,1,5,3]=>20
[5,6,7,8,2,1,4,3]=>12
[6,5,8,7,3,4,1,2]=>28
[3,6,7,4,5,8,1,2]=>16
[2,6,7,4,5,1,8,3]=>28
[1,6,7,4,5,2,3,8]=>32
[1,5,4,7,6,2,3,8]=>28
[2,5,4,7,6,1,8,3]=>24
[3,5,4,7,6,8,1,2]=>12
[4,5,3,7,8,6,1,2]=>20
[5,4,3,8,7,6,1,2]=>32
[6,4,8,3,7,5,1,2]=>28
[6,3,8,4,5,7,1,2]=>20
[5,3,4,8,6,7,1,2]=>20
[4,3,5,6,8,7,1,2]=>12
[3,2,5,6,1,8,7,4]=>32
[4,2,5,6,8,1,7,3]=>20
[5,2,4,8,6,1,7,3]=>28
[6,2,8,4,5,1,7,3]=>28
[7,8,2,4,5,1,6,3]=>20
[7,8,1,4,5,2,3,6]=>16
[6,1,8,4,5,2,3,7]=>28
[5,1,4,8,6,2,3,7]=>28
[4,1,3,2,8,6,5,7]=>36
[5,1,3,8,2,6,4,7]=>28
[6,1,8,3,2,5,4,7]=>24
[7,8,1,3,2,5,4,6]=>12
[7,8,2,3,1,5,6,4]=>20
[6,2,8,3,1,5,7,4]=>28
[5,2,3,8,1,6,7,4]=>32
[6,3,8,2,1,7,5,4]=>36
[7,8,3,2,1,6,5,4]=>32
[7,8,4,2,6,1,5,3]=>28
[5,4,2,8,7,1,6,3]=>36
[4,5,2,7,8,1,6,3]=>24
[2,5,3,7,1,6,8,4]=>28
[1,5,3,7,2,6,4,8]=>28
[1,6,7,3,2,5,4,8]=>28
[2,6,7,3,1,5,8,4]=>28
[3,6,7,2,1,8,5,4]=>32
[7,8,5,6,2,1,4,3]=>28
[6,5,8,7,1,2,3,4]=>12
[5,4,1,8,7,2,3,6]=>32
[6,4,8,1,7,2,3,5]=>20
[7,8,3,1,2,6,4,5]=>20
[5,3,1,8,2,7,4,6]=>36
[4,3,1,2,8,7,5,6]=>44
[4,2,1,3,8,5,7,6]=>36
[5,2,1,8,3,4,7,6]=>32
[6,2,8,1,3,4,7,5]=>20
[7,8,2,1,3,4,6,5]=>12
[6,3,1,5,2,4,8,7]=>34
[2,1,8,5,3,7,4,6]=>34
[8,2,6,1,4,3,7,5]=>26
[4,7,1,5,8,3,2,6]=>26
[8,6,1,3,4,2,5,7]=>20
[8,1,2,4,5,6,3,7]=>12
[8,2,5,1,3,6,4,7]=>20
[4,1,5,3,7,2,8,6]=>32
[5,2,7,1,3,8,4,6]=>26
[5,3,1,7,8,2,4,6]=>28
[1,7,3,4,2,5,8,6]=>24
[4,7,2,1,3,5,8,6]=>26
[4,5,2,3,7,6,1,8]=>28
[6,4,3,7,2,5,1,8]=>36
[8,4,3,6,5,1,2,7]=>28
[1,5,6,3,4,8,7,2]=>28
[4,6,2,7,3,5,1,8]=>28
[3,2,6,7,4,5,1,8]=>28
[4,7,2,6,5,3,1,8]=>36
[5,7,6,2,4,3,1,8]=>36
[1,7,5,4,8,3,6,2]=>36
[8,7,5,4,1,3,2,6]=>36
[6,8,5,4,2,1,3,7]=>36
[5,8,6,2,4,1,3,7]=>28
[4,8,2,6,5,1,3,7]=>28
[3,2,8,6,5,1,4,7]=>36
[4,1,2,6,5,8,7,3]=>28
[5,1,6,2,4,8,7,3]=>28
[6,1,5,4,2,8,7,3]=>36
[7,1,5,4,8,2,6,3]=>28
[8,1,5,4,7,6,2,3]=>28
[1,8,6,7,4,5,3,2]=>44
[8,1,6,7,4,5,2,3]=>32
[7,1,6,8,4,2,5,3]=>28
[6,1,7,8,2,4,5,3]=>20
[5,1,7,2,8,4,6,3]=>28
[4,1,2,7,8,5,6,3]=>32
[3,2,1,7,8,5,6,4]=>44
[3,2,8,7,1,5,4,6]=>36
[4,8,2,7,1,5,3,6]=>28
[5,8,7,2,1,4,3,6]=>24
[6,8,7,1,2,4,3,5]=>12
[7,8,6,1,4,2,3,5]=>20
[8,7,6,1,4,3,2,5]=>32
[1,7,6,8,4,3,5,2]=>36
[1,6,7,8,3,4,5,2]=>24
[8,6,7,1,3,4,2,5]=>20
[7,6,8,1,3,2,4,5]=>12
[5,7,8,2,1,3,4,6]=>12
[4,7,2,8,1,3,5,6]=>20
[3,2,6,8,4,1,5,7]=>28
[4,6,2,8,3,1,5,7]=>28
[5,6,8,2,3,1,4,7]=>20
[6,5,8,3,2,1,4,7]=>32
[7,5,8,3,1,2,4,6]=>20
[8,5,7,3,1,4,2,6]=>28
[1,5,7,3,8,4,6,2]=>28
[1,4,3,7,8,5,6,2]=>28
[8,4,3,7,1,5,2,6]=>28
[6,4,3,8,2,1,5,7]=>36
[4,5,2,3,8,1,6,7]=>32
[3,2,5,4,8,1,6,7]=>28
[4,5,2,3,1,8,7,6]=>44
[6,4,3,1,2,8,7,5]=>44
[7,4,3,1,8,2,6,5]=>36
[8,4,3,1,7,6,2,5]=>36
[1,5,8,3,7,6,4,2]=>36
[8,5,1,3,7,6,2,4]=>28
[7,5,1,3,8,2,6,4]=>28
[6,5,1,3,2,8,7,4]=>36
[5,6,1,2,3,8,7,4]=>24
[4,6,2,1,3,8,7,5]=>36
[3,2,6,1,4,8,7,5]=>36
[3,2,7,1,8,4,6,5]=>36
[4,7,2,1,8,3,6,5]=>32
[5,7,1,2,8,3,6,4]=>20
[6,7,1,8,2,3,5,4]=>12
[7,6,1,8,3,2,5,4]=>24
[8,6,1,7,3,5,2,4]=>28
[1,6,8,7,3,5,4,2]=>36
[1,7,8,6,5,3,4,2]=>44
[8,7,1,6,5,3,2,4]=>36
[7,8,1,6,5,2,3,4]=>24
[6,8,1,7,2,5,3,4]=>20
[5,8,1,2,7,6,3,4]=>24
[4,8,2,1,7,6,3,5]=>36
[3,2,8,1,7,6,4,5]=>44
[4,1,2,8,7,6,5,3]=>44
[5,1,8,2,7,6,4,3]=>36
[6,1,8,7,2,5,4,3]=>32
[7,1,8,6,5,2,4,3]=>36
[8,1,7,6,5,4,2,3]=>44
[1,4,3,8,7,5,6,2]=>34
[4,1,2,8,7,5,6,3]=>38
[3,2,5,1,6,4,8,7]=>32
[3,2,5,4,7,1,8,6]=>30
[4,2,5,3,7,6,8,1]=>20
[4,2,5,3,7,1,8,6]=>32
[4,2,5,3,6,1,8,7]=>30
[4,2,5,1,6,3,8,7]=>30
[3,1,5,4,6,2,8,7]=>28
[4,1,5,3,6,2,8,7]=>30
[4,3,5,1,6,2,8,7]=>30
[4,3,5,2,7,1,8,6]=>36
[4,3,6,2,7,5,8,1]=>26
[4,3,6,2,7,1,8,5]=>34
[4,3,6,1,7,2,8,5]=>30
[4,3,5,1,7,2,8,6]=>32
[3,1,5,4,7,2,8,6]=>30
[2,1,5,4,7,3,8,6]=>32
[3,1,5,4,7,6,8,2]=>22
[4,1,5,3,7,6,8,2]=>24
[4,3,5,1,7,6,8,2]=>24
[4,3,6,1,7,5,8,2]=>26
[4,3,6,5,7,1,8,2]=>18
[5,3,6,4,7,2,8,1]=>24
[5,3,6,4,7,1,8,2]=>20
[5,3,6,1,7,4,8,2]=>24
[5,1,6,3,7,4,8,2]=>24
[4,1,6,3,7,5,8,2]=>26
[3,1,6,4,7,5,8,2]=>24
[2,1,6,4,7,5,8,3]=>30
[2,1,6,4,7,3,8,5]=>30
[3,1,6,4,7,2,8,5]=>28
[4,1,6,3,7,2,8,5]=>30
[5,1,6,3,7,2,8,4]=>24
[5,3,6,1,7,2,8,4]=>24
[5,3,6,2,7,1,8,4]=>28
[5,3,6,2,7,4,8,1]=>24
[5,2,6,3,7,4,8,1]=>20
[5,2,6,3,7,1,8,4]=>24
[5,2,6,1,7,3,8,4]=>24
[4,2,5,1,7,3,8,6]=>32
[4,2,6,1,7,3,8,5]=>30
[4,2,6,3,7,1,8,5]=>30
[4,2,6,3,7,5,8,1]=>22
[3,2,6,4,7,5,8,1]=>20
[3,2,6,4,7,1,8,5]=>28
[3,2,6,1,7,4,8,5]=>32
[3,2,5,1,7,4,8,6]=>34
[3,2,4,1,7,5,8,6]=>32
[3,1,4,2,7,6,8,5]=>32
[3,2,5,1,7,6,8,4]=>34
[3,2,6,1,7,5,8,4]=>36
[3,2,6,5,7,1,8,4]=>28
[4,2,6,5,7,3,8,1]=>22
[4,2,6,5,7,1,8,3]=>22
[4,2,6,1,7,5,8,3]=>30
[4,2,5,1,7,6,8,3]=>28
[4,1,5,2,7,6,8,3]=>24
[3,1,5,2,7,6,8,4]=>30
[2,1,5,3,7,6,8,4]=>28
[2,1,6,3,7,5,8,4]=>30
[3,1,6,2,7,5,8,4]=>32
[4,1,6,2,7,5,8,3]=>26
[5,1,6,2,7,4,8,3]=>24
[5,2,6,1,7,4,8,3]=>28
[5,2,6,4,7,1,8,3]=>24
[5,2,6,4,7,3,8,1]=>24
[5,4,6,2,7,3,8,1]=>24
[5,4,6,2,7,1,8,3]=>24
[5,4,6,1,7,2,8,3]=>20
[5,1,6,4,7,2,8,3]=>24
[4,1,6,5,7,2,8,3]=>22
[3,1,6,5,7,2,8,4]=>28
[2,1,6,5,7,3,8,4]=>30
[3,1,6,5,7,4,8,2]=>28
[4,1,6,5,7,3,8,2]=>26
[5,1,6,4,7,3,8,2]=>28
[5,4,6,1,7,3,8,2]=>24
[5,4,6,3,7,1,8,2]=>24
[8,3,5,2,1,6,4,7]=>28
[8,6,3,5,2,4,1,7]=>36
[3,7,5,2,4,1,8,6]=>36
[8,3,7,5,2,4,6,1]=>30
[8,2,4,5,7,3,6,1]=>22
[2,4,5,7,3,1,8,6]=>28
[8,2,4,6,5,3,1,7]=>28
[8,2,5,4,6,1,3,7]=>24
[8,6,3,5,1,4,2,7]=>32
[8,6,1,4,5,3,2,7]=>32
[8,1,5,6,4,3,2,7]=>34
[5,7,4,3,2,1,8,6]=>46
[8,5,7,4,3,2,6,1]=>40
[4,6,8,3,2,7,5,1]=>30
[4,7,6,3,2,8,1,5]=>34
[1,4,6,7,3,2,8,5]=>28
[5,4,7,3,1,8,2,6]=>34
[1,7,4,5,3,2,8,6]=>36
[3,7,5,1,4,2,8,6]=>32
[5,7,4,2,1,3,8,6]=>36
[8,5,7,4,2,1,6,3]=>34
[8,3,7,5,1,4,6,2]=>28
[8,4,1,7,5,3,6,2]=>32
[4,6,3,8,7,1,5,2]=>26
[1,7,4,8,6,3,5,2]=>36
[8,4,7,6,3,5,2,1]=>40
[3,6,5,8,7,4,1,2]=>24
[3,1,5,8,6,7,4,2]=>32
[4,8,1,6,7,3,5,2]=>30
[3,6,4,1,8,7,5,2]=>32
[8,2,6,1,4,7,5,3]=>30
[2,7,6,8,1,4,3,5]=>24
[3,7,1,6,4,8,2,5]=>28
[1,7,3,5,6,8,2,4]=>24
[1,3,6,7,5,8,2,4]=>24
[3,7,6,5,8,2,1,4]=>28
[3,6,8,5,7,2,4,1]=>28
[2,3,5,7,6,8,1,4]=>16
[2,1,6,5,7,8,3,4]=>28
[4,2,7,6,8,3,1,5]=>28
[4,2,6,8,7,3,5,1]=>28
[3,8,2,4,6,7,5,1]=>24
[3,7,2,6,4,8,1,5]=>28
[3,2,6,1,4,7,8,5]=>30
[5,3,7,2,1,8,4,6]=>34
[4,7,3,2,1,5,8,6]=>36
[8,7,6,1,3,4,2,5]=>26
[8,5,7,3,2,1,6,4]=>34
[8,3,6,7,2,1,5,4]=>30
[3,7,8,6,2,1,5,4]=>32
[8,7,6,3,5,2,4,1]=>42
[2,7,4,8,1,6,5,3]=>32
[4,6,8,2,1,7,5,3]=>28
[8,4,1,5,7,2,6,3]=>24
[8,5,3,7,1,6,2,4]=>28
[8,5,7,2,1,3,6,4]=>24
[8,2,6,7,1,3,5,4]=>24
[8,3,6,1,7,5,2,4]=>30
[4,6,1,8,7,2,5,3]=>26
[8,1,2,5,6,7,4,3]=>24
[8,2,6,5,7,4,1,3]=>32
[2,1,7,8,5,6,4,3]=>44
[8,2,5,7,6,4,3,1]=>36
[2,7,6,8,5,4,1,3]=>36
[1,7,2,5,8,6,4,3]=>34
[1,7,4,8,2,6,5,3]=>32
[3,7,8,1,6,5,2,4]=>30
[2,7,8,6,1,3,5,4]=>28
[8,7,6,3,5,1,4,2]=>38
[8,4,7,6,5,1,3,2]=>34
[8,7,1,5,6,4,3,2]=>40
[8,1,6,7,5,4,3,2]=>44
[5,4,3,6,1,2,8,7]=>38
[2,7,6,4,5,8,1,3]=>28
[5,7,3,6,1,8,2,4]=>22
[2,1,7,6,5,8,3,4]=>38
[6,4,3,5,8,1,7,2]=>28
[7,3,5,4,8,6,1,2]=>22
[5,4,3,2,7,1,8,6]=>46
[4,3,6,2,8,7,5,1]=>34
[4,3,7,6,2,1,8,5]=>38
[6,4,3,1,7,2,8,5]=>36
[4,3,7,1,8,6,5,2]=>36
[5,3,8,7,6,4,2,1]=>38
[7,5,3,1,8,6,4,2]=>36
[1,8,6,5,3,7,4,2]=>40
[6,1,7,5,3,2,8,4]=>32
[7,6,5,3,2,1,8,4]=>44
[6,5,3,2,8,7,4,1]=>38
[5,2,6,3,8,7,4,1]=>26
[5,2,7,6,3,1,8,4]=>30
[6,5,2,1,7,3,8,4]=>30
[5,2,7,1,8,6,4,3]=>36
[6,2,8,7,5,4,3,1]=>40
[7,6,2,1,8,5,4,3]=>38
[6,1,7,2,8,5,4,3]=>30
[7,1,8,6,5,4,3,2]=>46
[4,5,2,6,3,1,8,7]=>34
[6,5,2,1,4,3,8,7]=>40
[6,5,2,7,4,8,3,1]=>30
[8,5,2,7,4,1,6,3]=>32
[8,3,7,5,2,1,6,4]=>34
[6,3,7,5,2,8,4,1]=>30
[3,1,6,5,4,2,8,7]=>38
[5,6,3,2,4,1,8,7]=>40
[3,6,2,4,1,5,8,7]=>32
[2,6,1,3,5,4,8,7]=>28
[6,7,2,3,4,8,5,1]=>18
[8,7,2,3,4,1,6,5]=>24
[5,1,7,3,8,4,6,2]=>28
[2,5,7,3,8,6,4,1]=>26
[7,6,1,3,5,8,4,2]=>30
[3,6,7,4,1,8,5,2]=>24
[5,6,3,7,4,8,1,2]=>18
[2,1,6,7,4,8,5,3]=>34
[2,1,8,7,4,3,6,5]=>40
[5,8,3,7,4,2,6,1]=>32
[3,8,7,4,1,2,6,5]=>30
[7,8,1,3,5,2,6,4]=>18
[5,8,7,3,2,6,1,4]=>30
[2,8,6,3,1,5,7,4]=>32
[8,1,6,3,2,5,4,7]=>24
[2,8,4,1,6,3,7,5]=>30
[4,8,1,2,7,6,3,5]=>30
[3,8,4,2,5,7,1,6]=>26
[6,8,3,5,2,7,4,1]=>30
[2,1,5,3,8,7,6,4]=>38
[6,5,3,2,8,7,1,4]=>36
[7,5,2,4,8,1,6,3]=>30
[3,4,2,8,5,7,6,1]=>28
[2,4,1,8,7,6,5,3]=>46
[8,4,2,1,7,5,3,6]=>32
[4,3,1,8,6,7,5,2]=>40
[3,1,4,8,6,5,7,2]=>28
[7,1,6,5,4,8,2,3]=>34
[3,7,5,6,8,4,2,1]=>28
[5,7,1,6,8,2,4,3]=>20
[8,6,2,5,1,7,4,3]=>34
[5,6,2,1,8,7,3,4]=>28
[4,6,2,5,8,3,7,1]=>26
[7,5,2,6,3,8,1,4]=>26
[4,1,2,3,6,8,7,5]=>30
[2,4,3,1,8,5,6,7]=>30
[7,5,2,8,3,4,6,1]=>24
[5,6,2,8,4,3,1,7]=>32
[4,7,2,8,1,5,3,6]=>24
[8,7,2,1,4,5,6,3]=>24
[3,6,8,7,1,5,4,2]=>28
[5,7,8,6,3,4,1,2]=>26
[7,1,8,5,4,3,6,2]=>34
[2,7,8,4,5,3,6,1]=>26
[5,7,3,8,1,4,6,2]=>22
[2,1,7,8,5,4,6,3]=>40
[2,1,5,8,4,6,3,7]=>32
[6,5,3,8,4,1,2,7]=>34
[7,5,8,4,3,6,2,1]=>36
[2,4,8,3,5,6,1,7]=>20
[4,1,8,3,6,5,2,7]=>32
[3,4,8,1,7,2,5,6]=>26
[8,4,1,3,7,2,6,5]=>32
[3,1,8,2,4,7,6,5]=>34
[2,3,8,1,4,6,7,5]=>26
[4,3,8,2,5,1,7,6]=>36
[6,3,8,4,2,5,7,1]=>26
[7,4,3,8,2,5,1,6]=>30
[2,1,4,8,3,5,7,6]=>28
[6,8,2,4,3,5,1,7]=>24
[4,8,2,3,5,1,6,7]=>22
[3,8,2,1,4,6,5,7]=>24
[2,8,1,3,4,5,7,6]=>16
[7,1,6,8,4,3,2,5]=>30
[7,1,6,5,8,3,2,4]=>30
[3,7,6,1,4,8,2,5]=>26
[2,7,8,4,1,6,5,3]=>32
[3,6,4,5,7,2,8,1]=>20
[1,8,2,7,3,4,5,6]=>18
[3,2,1,5,8,4,6,7]=>32
[5,4,3,2,1,8,6,7]=>50
[1,8,2,4,3,5,6,7]=>12
[1,7,2,4,3,5,6,8]=>16
[1,6,2,4,3,5,7,8]=>18
[1,5,2,4,3,6,7,8]=>18
[1,6,2,5,3,4,7,8]=>22
[1,7,2,5,3,4,6,8]=>20
[1,8,2,5,3,4,6,7]=>16
[1,8,2,6,3,4,5,7]=>18
[1,7,2,6,3,4,5,8]=>22
[1,8,2,7,3,5,4,6]=>24
[1,7,2,8,3,5,4,6]=>20
[1,6,2,8,3,5,4,7]=>24
[1,5,2,8,3,6,4,7]=>24
[1,4,2,8,3,6,5,7]=>26
[1,3,2,8,4,6,5,7]=>24
[1,2,3,8,4,6,5,7]=>18
[1,2,3,7,4,6,5,8]=>18
[1,3,2,7,4,6,5,8]=>24
[1,4,2,7,3,6,5,8]=>26
[1,5,2,7,3,6,4,8]=>24
[1,6,2,7,3,5,4,8]=>24
[1,7,2,6,3,5,4,8]=>28
[1,8,2,6,3,5,4,7]=>24
[1,8,2,5,3,6,4,7]=>20
[1,7,2,5,3,6,4,8]=>24
[1,6,2,5,3,7,4,8]=>24
[1,5,2,4,3,7,6,8]=>24
[1,6,2,4,3,7,5,8]=>22
[1,7,2,4,3,6,5,8]=>22
[1,8,2,4,3,6,5,7]=>18
[1,8,2,3,4,6,5,7]=>12
[1,7,2,3,4,6,5,8]=>16
[1,8,2,3,4,7,5,6]=>16
[1,8,2,4,3,7,5,6]=>22
[1,7,2,4,3,8,5,6]=>22
[1,6,2,4,3,8,5,7]=>26
[1,5,2,4,3,8,6,7]=>28
[1,6,2,5,3,8,4,7]=>28
[1,7,2,5,3,8,4,6]=>24
[1,8,2,5,3,7,4,6]=>24
[1,8,2,6,3,7,4,5]=>24
[1,7,2,6,3,8,4,5]=>24
[1,2,3,8,4,7,5,6]=>22
[1,3,2,8,4,7,5,6]=>28
[1,4,2,8,3,7,5,6]=>30
[1,5,2,8,3,7,4,6]=>28
[1,6,2,8,3,7,4,5]=>24
[1,7,2,8,3,6,4,5]=>24
[1,8,2,7,3,6,4,5]=>28
[6,7,8,1,4,3,2,5]=>16
[2,8,4,1,6,7,5,3]=>34
[4,8,5,7,1,6,2,3]=>20
[8,7,6,5,2,1,4,3]=>40
[8,3,1,5,4,7,2,6]=>26
[8,7,6,5,1,4,2,3]=>38
[7,5,1,3,8,4,2,6]=>28
[7,6,1,4,8,3,2,5]=>28
[7,1,3,5,8,2,4,6]=>20
[7,5,3,6,4,2,8,1]=>36
[8,2,6,3,4,7,5,1]=>22
[7,2,6,3,5,4,8,1]=>28
[6,2,7,4,3,5,8,1]=>24
[3,7,6,4,5,2,8,1]=>32
[2,7,6,5,3,4,8,1]=>34
[8,6,5,4,2,7,3,1]=>40
[6,5,8,4,2,7,3,1]=>34
[1,8,6,3,7,5,2,4]=>36
[8,7,5,2,6,4,3,1]=>40
[8,7,1,6,2,5,4,3]=>34
[1,7,2,8,5,3,4,6]=>24
[7,6,1,8,4,3,2,5]=>28
[8,6,1,7,4,2,5,3]=>28
[8,1,2,7,3,4,6,5]=>18
[7,1,2,8,3,5,4,6]=>16
[8,2,6,1,7,3,5,4]=>28
[4,7,5,6,8,3,2,1]=>26
[8,6,4,7,5,3,2,1]=>42
[5,4,8,1,7,2,6,3]=>28
[2,3,8,7,4,5,6,1]=>24
[7,2,8,6,4,3,5,1]=>32
[8,2,7,6,3,5,4,1]=>36
[8,1,7,6,5,2,4,3]=>40
[7,1,8,6,5,3,2,4]=>36
[1,2,8,7,6,3,4,5]=>34
[3,8,7,6,4,5,2,1]=>40
[2,8,7,6,5,3,4,1]=>44
[1,8,7,6,5,4,2,3]=>50
[3,8,6,7,1,5,2,4]=>28
[5,4,7,1,3,8,2,6]=>30
[5,6,2,1,4,8,3,7]=>32
[2,1,8,4,7,5,6,3]=>38
[4,1,3,2,8,5,6,7]=>30
[3,2,1,4,8,5,6,7]=>28
[1,8,4,2,5,3,6,7]=>20
[8,1,5,3,2,4,6,7]=>18
[3,8,1,5,2,4,6,7]=>20
[1,6,7,2,8,4,3,5]=>22
[6,7,1,4,2,8,3,5]=>20
[6,3,7,1,4,8,2,5]=>22
[3,7,8,1,5,2,4,6]=>20
[7,1,2,8,5,3,4,6]=>20
[1,7,2,8,4,5,3,6]=>24
[1,2,7,5,8,3,4,6]=>24
[2,8,1,7,4,3,6,5]=>34
[4,2,6,5,8,3,7,1]=>26
[5,2,4,7,3,6,8,1]=>24
[5,1,2,4,8,3,6,7]=>26
[4,3,6,1,5,8,2,7]=>30
[2,6,1,4,5,8,3,7]=>30
[2,5,3,4,1,8,6,7]=>32
[4,3,5,2,1,8,6,7]=>40
[3,1,6,7,5,8,2,4]=>28
[2,8,1,7,5,6,3,4]=>38
[5,3,6,8,4,7,2,1]=>26
[3,7,2,5,4,8,6,1]=>26
[8,4,2,5,7,3,6,1]=>26
[4,7,2,5,8,3,6,1]=>24
[5,2,6,8,4,3,7,1]=>28
[3,1,6,5,4,8,2,7]=>34
[4,1,6,5,8,3,2,7]=>32
[5,1,6,8,4,3,2,7]=>34
[8,5,4,7,6,3,2,1]=>40
[5,7,1,8,4,3,2,6]=>28
[2,7,1,5,4,3,8,6]=>34
[8,2,1,5,4,3,7,6]=>28
[8,4,1,5,7,3,2,6]=>28
[8,5,6,7,1,3,2,4]=>18
[8,4,6,1,7,3,2,5]=>26
[8,3,6,1,4,7,2,5]=>24
[2,7,6,1,4,3,8,5]=>32
[6,7,8,5,1,3,2,4]=>18
[5,7,6,8,2,3,4,1]=>18
[5,7,2,8,4,3,6,1]=>26
[6,7,8,2,4,3,5,1]=>18
[4,7,6,2,8,3,5,1]=>26
[8,3,6,2,4,7,5,1]=>26
[3,7,6,2,4,8,5,1]=>28
[5,7,3,8,4,6,2,1]=>28
[4,7,3,5,8,6,2,1]=>26
[8,7,2,1,4,3,6,5]=>24
[8,7,3,1,4,6,2,5]=>26
[8,7,6,3,2,5,4,1]=>40
[8,7,3,5,1,6,2,4]=>28
[8,7,2,5,1,3,6,4]=>26
[8,2,6,5,1,3,7,4]=>28
[8,4,6,5,7,1,2,3]=>18
[5,7,6,8,4,1,2,3]=>18
[4,7,6,5,8,1,2,3]=>16
[3,7,6,5,1,8,2,4]=>28
[2,6,5,7,3,4,8,1]=>24
[1,6,4,7,5,8,2,3]=>24
[8,5,3,6,2,7,4,1]=>30
[1,3,7,4,6,8,2,5]=>24
[4,7,5,6,3,2,8,1]=>32
[1,7,6,5,4,8,2,3]=>38
[8,1,6,5,7,2,4,3]=>30
[1,2,7,6,8,3,4,5]=>24
[6,1,7,5,3,8,2,4]=>28
[2,1,7,5,6,8,3,4]=>32
[5,4,1,7,6,8,2,3]=>24
[4,8,5,6,2,7,3,1]=>24
[3,8,6,4,2,7,5,1]=>32
[7,8,5,2,4,6,3,1]=>30
[2,8,6,3,7,4,5,1]=>28
[7,8,1,6,2,4,5,3]=>22
[6,8,1,4,7,2,5,3]=>22
[3,8,4,1,7,2,6,5]=>32
[5,4,7,1,8,3,2,6]=>28
[3,7,4,1,8,5,2,6]=>26
[6,7,1,4,8,3,2,5]=>22
[2,7,1,8,4,5,3,6]=>28
[6,1,2,8,4,3,5,7]=>22
[6,5,1,4,3,8,2,7]=>40
[1,6,2,5,8,3,4,7]=>26
[8,5,1,3,7,2,6,4]=>28
[8,4,2,1,7,3,6,5]=>34
[7,4,2,1,8,5,3,6]=>32
[1,5,4,2,8,3,6,7]=>30
[6,4,3,1,5,8,2,7]=>36
[3,7,6,8,4,5,2,1]=>30
[2,7,6,8,5,3,4,1]=>34
[1,7,6,8,5,4,2,3]=>40
[1,4,8,6,7,5,2,3]=>32
[2,4,8,6,7,3,5,1]=>28
[7,3,8,5,4,6,2,1]=>30
[3,4,8,5,6,7,2,1]=>18
[6,3,5,8,4,7,2,1]=>30
[5,4,3,8,6,7,2,1]=>32
[5,4,2,8,7,3,6,1]=>36
[6,2,5,8,7,3,4,1]=>28
[3,2,8,5,7,4,6,1]=>32
[1,3,8,7,5,6,2,4]=>36
[2,1,8,7,4,6,3,5]=>42
[3,1,8,5,7,6,2,4]=>36
[6,1,5,8,7,4,2,3]=>32
[5,4,1,8,7,6,2,3]=>34
[5,8,6,7,4,3,2,1]=>38
[4,8,7,5,6,3,2,1]=>38
[2,8,3,1,5,4,6,7]=>20
[2,5,3,4,7,1,8,6]=>28
[2,4,8,3,5,7,6,1]=>22
[4,2,5,3,1,8,6,7]=>36
[4,2,1,8,5,3,6,7]=>32
[5,4,1,3,8,2,6,7]=>36
[5,1,4,8,3,2,6,7]=>32
[1,5,8,4,3,2,6,7]=>32
[1,8,5,4,3,2,6,7]=>34
[1,7,4,3,8,5,2,6]=>30
[1,5,7,3,8,4,2,6]=>28
[5,1,4,7,8,3,2,6]=>30
[4,8,1,5,7,3,6,2]=>28
[8,1,5,3,7,4,6,2]=>28
[3,8,4,7,6,5,2,1]=>34
[1,6,8,5,3,7,4,2]=>36
[6,8,1,7,4,3,5,2]=>28
[6,4,8,1,7,3,5,2]=>28
[6,4,8,7,1,5,2,3]=>22
[7,6,4,1,3,8,2,5]=>32
[1,7,5,6,3,2,8,4]=>34
[4,2,1,7,8,5,3,6]=>36
[2,7,4,6,3,1,8,5]=>34
[2,6,8,4,3,7,5,1]=>28
[6,2,4,8,3,7,5,1]=>28
[7,2,6,3,4,1,8,5]=>30
[2,6,7,3,1,4,8,5]=>24
[2,7,1,8,3,5,4,6]=>24
[2,1,7,3,5,8,4,6]=>28
[8,7,1,3,6,2,4,5]=>22
[8,2,1,7,3,5,6,4]=>28
[7,8,2,6,3,1,5,4]=>26
[8,7,2,6,3,5,4,1]=>34
[1,2,8,7,4,5,6,3]=>34
[8,3,7,1,5,6,2,4]=>28
[8,6,1,2,7,5,3,4]=>26
[8,1,6,2,7,4,5,3]=>28
[1,8,5,2,6,7,4,3]=>32
[5,2,1,8,6,7,4,3]=>40
[2,8,5,7,6,4,3,1]=>40
[1,7,8,5,2,6,4,3]=>34
[7,8,1,6,4,2,5,3]=>26
[7,8,6,1,5,3,2,4]=>28
[7,3,8,6,1,5,2,4]=>28
[8,7,6,1,5,3,4,2]=>38
[8,7,1,6,4,5,3,2]=>40
[8,1,7,5,6,4,3,2]=>44
[1,8,6,7,5,4,3,2]=>50
[9,1,2,3,4,5,6,7,8]=>0
[8,1,2,3,4,5,6,9,7]=>12
[2,9,1,3,4,5,6,7,8]=>12
[9,3,1,2,4,5,6,7,8]=>12
[8,9,1,2,3,4,5,6,7]=>0
[9,7,8,1,2,3,4,5,6]=>12
[2,3,4,5,6,7,9,1,8]=>12
[2,3,4,5,6,7,8,9,1]=>0
[2,3,4,5,6,7,8,1,9]=>7
[2,3,4,5,6,7,1,8,9]=>12
[1,2,3,4,5,6,7,9,8]=>7
[2,1,3,4,5,6,7,8,9]=>7
[1,8,2,3,4,5,6,9,7]=>17
[7,1,2,3,4,5,6,9,8]=>19
[2,1,9,3,4,5,6,7,8]=>19
[2,8,1,3,4,5,6,7,9]=>17
[1,2,3,4,5,6,7,8,9]=>0
[3,2,4,5,6,7,8,9,1]=>7
[9,8,7,6,5,4,3,2,1]=>84
[8,7,6,5,4,3,2,1,9]=>84
[1,9,8,7,6,5,4,3,2]=>84
[8,7,6,4,5,3,2,1,9]=>77
[1,9,8,7,5,6,4,3,2]=>77
[8,7,5,4,6,3,2,1,9]=>72
[8,7,4,6,5,3,2,1,9]=>72
[1,9,8,6,5,7,4,3,2]=>72
[1,9,8,5,7,6,4,3,2]=>72
[9,2,1,3,4,5,6,7,8]=>7
[9,2,3,1,4,5,6,7,8]=>12
[4,2,3,5,6,7,8,9,1]=>12
[3,4,2,5,6,7,8,9,1]=>12
[9,8,1,2,3,4,5,6,7]=>7
[7,8,9,1,2,3,4,5,6]=>0
[9,8,7,1,2,3,4,5,6]=>19
[6,7,8,9,1,2,3,4,5]=>0
[9,6,7,8,1,2,3,4,5]=>15
[8,9,6,7,1,2,3,4,5]=>20
[9,8,6,7,1,2,3,4,5]=>27
[9,8,7,6,1,2,3,4,5]=>34
[9,5,6,7,8,1,2,3,4]=>16
[8,9,5,6,7,1,2,3,4]=>24
[9,8,5,6,7,1,2,3,4]=>31
[9,7,8,5,6,1,2,3,4]=>36
[9,8,7,5,6,1,2,3,4]=>43
[9,8,7,6,5,1,2,3,4]=>50
[7,8,9,4,5,6,1,2,3]=>27
[9,7,8,4,5,6,1,2,3]=>39
[9,8,7,4,5,6,1,2,3]=>46
[8,9,6,7,4,5,1,2,3]=>44
[9,8,6,7,4,5,1,2,3]=>51
[9,8,7,6,4,5,1,2,3]=>58
[9,8,7,6,5,4,1,2,3]=>65
[9,7,8,5,6,3,4,1,2]=>56
[9,8,7,5,6,3,4,1,2]=>63
[9,8,7,6,5,3,4,1,2]=>70
[9,8,7,6,5,4,3,1,2]=>77
[7,8,6,5,4,3,2,1,9]=>77
[1,8,9,7,6,5,4,3,2]=>77
[7,6,8,5,4,3,2,1,9]=>72
[6,8,7,5,4,3,2,1,9]=>72
[1,8,7,9,6,5,4,3,2]=>72
[1,7,9,8,6,5,4,3,2]=>72
[8,1,2,3,4,5,6,7,9]=>7
[1,9,2,3,4,5,6,7,8]=>7
[7,8,1,2,3,4,5,6,9]=>12
[1,8,9,2,3,4,5,6,7]=>12
[7,1,8,2,3,4,5,6,9]=>17
[6,8,1,2,3,4,5,7,9]=>17
[1,8,2,9,3,4,5,6,7]=>17
[1,7,9,2,3,4,5,6,8]=>17
[7,1,2,3,4,5,6,8,9]=>12
[3,4,1,2,5,6,7,8,9]=>20
[3,2,1,4,5,6,7,8,9]=>19
[4,5,6,1,2,3,7,8,9]=>27
[4,2,5,1,3,6,7,8,9]=>28
[4,3,2,1,5,6,7,8,9]=>34
[5,6,7,8,1,2,3,4,9]=>16
[5,2,6,7,1,3,4,8,9]=>31
[5,6,3,4,1,2,7,8,9]=>44
[5,3,2,6,1,4,7,8,9]=>39
[5,4,3,2,1,6,7,8,9]=>50
[6,2,7,8,9,1,3,4,5]=>16
[6,7,3,4,8,1,2,5,9]=>35
[6,3,2,7,8,1,4,5,9]=>38
[6,4,7,2,5,1,3,8,9]=>45
[6,4,3,2,7,1,5,8,9]=>51
[6,5,4,3,2,1,7,8,9]=>65
[7,4,8,2,5,9,1,3,6]=>32
[7,4,3,2,8,9,1,5,6]=>46
[7,8,5,6,3,4,1,2,9]=>56
[7,5,3,8,2,6,1,4,9]=>49
[7,5,4,3,2,8,1,6,9]=>62
[7,6,5,4,3,2,1,8,9]=>77
[8,6,9,4,7,2,5,1,3]=>42
[8,6,4,3,9,2,7,1,5]=>52
[8,6,5,4,3,2,9,1,7]=>70
[2,1,4,3,6,5,8,7,10,9]=>40
[4,3,2,1,6,5,8,7,10,9]=>64
[6,3,2,5,4,1,8,7,10,9]=>72
[8,3,2,5,4,7,6,1,10,9]=>64
[10,3,2,5,4,7,6,9,8,1]=>40
[2,1,6,5,4,3,8,7,10,9]=>64
[6,5,4,3,2,1,8,7,10,9]=>96
[8,5,4,3,2,7,6,1,10,9]=>88
[10,5,4,3,2,7,6,9,8,1]=>64
[2,1,8,5,4,7,6,3,10,9]=>72
[8,7,4,3,6,5,2,1,10,9]=>96
[10,7,4,3,6,5,2,9,8,1]=>72
[2,1,10,5,4,7,6,9,8,3]=>64
[10,9,4,3,6,5,8,7,2,1]=>64
[8,9,5,6,3,4,10,1,2,7]=>60
[2,1,4,3,8,7,6,5,10,9]=>64
[4,3,2,1,8,7,6,5,10,9]=>88
[8,3,2,7,6,5,4,1,10,9]=>88
[10,3,2,7,6,5,4,9,8,1]=>64
[2,1,8,7,6,5,4,3,10,9]=>96
[8,7,6,5,4,3,2,1,10,9]=>120
[9,7,6,5,4,3,2,10,1,8]=>104
[10,7,6,5,4,3,2,9,8,1]=>96
[2,1,10,7,6,5,4,9,8,3]=>88
[10,9,6,5,4,3,8,7,2,1]=>88
[2,1,4,3,10,7,6,9,8,5]=>72
[4,3,2,1,10,7,6,9,8,5]=>96
[10,3,2,9,6,5,8,7,4,1]=>72
[2,1,10,9,6,5,8,7,4,3]=>96
[10,9,8,5,4,7,6,3,2,1]=>96
[6,7,8,9,10,1,2,3,4,5]=>0
[7,3,2,8,9,10,1,4,5,6]=>40
[8,5,4,3,2,9,10,1,6,7]=>76
[2,1,4,3,6,5,10,9,8,7]=>64
[4,3,2,1,6,5,10,9,8,7]=>88
[6,3,2,5,4,1,10,9,8,7]=>96
[10,3,2,5,4,9,8,7,6,1]=>64
[2,1,6,5,4,3,10,9,8,7]=>88
[6,5,4,3,2,1,10,9,8,7]=>120
[10,5,4,3,2,9,8,7,6,1]=>88
[2,1,10,5,4,9,8,7,6,3]=>88
[10,9,4,3,8,7,6,5,2,1]=>88
[9,7,5,10,3,8,2,6,1,4]=>64
[2,1,4,3,10,9,8,7,6,5]=>96
[4,3,2,1,10,9,8,7,6,5]=>120
[10,3,2,9,8,7,6,5,4,1]=>96
[2,1,10,9,8,7,6,5,4,3]=>120
[10,9,8,7,6,5,4,3,2,1]=>120
[2,3,4,5,6,7,8,9,10,1]=>0
[2,3,4,5,6,7,8,9,1,10]=>8
[10,8,9,5,6,7,1,2,3,4]=>50
[10,8,9,4,5,6,1,2,3,7]=>50
[10,7,8,5,6,9,1,2,3,4]=>44
[10,7,8,4,5,9,1,2,3,6]=>46
[10,6,7,4,5,8,1,2,3,9]=>54
[10,7,8,3,4,9,1,2,5,6]=>44
[10,6,7,3,4,8,1,2,5,9]=>52
[9,8,10,5,6,7,1,2,3,4]=>44
[9,8,10,4,5,6,1,2,3,7]=>44
[9,7,10,5,6,8,1,2,3,4]=>42
[9,7,10,4,5,8,1,2,3,6]=>44
[9,6,10,4,5,7,1,2,3,8]=>48
[9,7,10,3,4,8,1,2,5,6]=>42
[9,6,10,3,4,7,1,2,5,8]=>46
[8,7,9,5,6,10,1,2,3,4]=>38
[8,7,9,4,5,10,1,2,3,6]=>40
[8,6,9,4,5,10,1,2,3,7]=>46
[7,6,8,4,5,9,1,2,3,10]=>56
[8,7,9,3,4,10,1,2,5,6]=>38
[8,6,9,3,4,10,1,2,5,7]=>44
[7,6,8,3,4,9,1,2,5,10]=>54
[9,6,10,5,7,8,1,2,3,4]=>38
[9,6,10,4,7,8,1,2,3,5]=>40
[9,5,10,4,6,7,1,2,3,8]=>44
[9,6,10,3,7,8,1,2,4,5]=>40
[9,5,10,3,6,7,1,2,4,8]=>44
[8,6,9,5,7,10,1,2,3,4]=>34
[8,6,9,4,7,10,1,2,3,5]=>36
[8,5,9,4,6,10,1,2,3,7]=>42
[7,5,8,4,6,9,1,2,3,10]=>52
[8,6,9,3,7,10,1,2,4,5]=>36
[8,5,9,3,6,10,1,2,4,7]=>42
[7,5,8,3,6,9,1,2,4,10]=>52
[8,4,9,3,5,10,1,2,6,7]=>44
[7,4,8,3,5,9,1,2,6,10]=>54
[9,6,10,2,7,8,1,3,4,5]=>38
[9,5,10,2,6,7,1,3,4,8]=>42
[8,6,9,2,7,10,1,3,4,5]=>34
[8,5,9,2,6,10,1,3,4,7]=>40
[7,5,8,2,6,9,1,3,4,10]=>50
[8,4,9,2,5,10,1,3,6,7]=>42
[7,4,8,2,5,9,1,3,6,10]=>52
[1,2,3,4,5,6,7,8,10,9]=>8
[2,1,3,4,5,6,7,8,9,10]=>8
[9,1,2,3,4,5,6,7,10,8]=>14
[2,10,1,3,4,5,6,7,8,9]=>14
[1,2,3,4,5,6,7,8,9,10]=>0
[9,8,7,6,5,4,3,2,1,10]=>120
[10,1,2,3,4,5,6,7,8,9]=>0
[10,9,1,2,3,4,5,6,7,8]=>8
[1,10,9,8,7,6,5,4,3,2]=>120
[9,8,7,5,6,4,3,2,1,10]=>112
[1,10,9,8,6,7,5,4,3,2]=>112
[10,2,1,3,4,5,6,7,8,9]=>8
[3,2,4,5,6,7,8,9,10,1]=>8
[2,4,6,8,10,1,3,5,7,9]=>40
[2,4,6,9,10,1,3,5,7,8]=>38
[2,4,7,8,10,1,3,5,6,9]=>38
[2,4,7,9,10,1,3,5,6,8]=>36
[2,4,8,9,10,1,3,5,6,7]=>32
[2,5,6,8,10,1,3,4,7,9]=>38
[2,5,6,9,10,1,3,4,7,8]=>36
[2,5,7,8,10,1,3,4,6,9]=>36
[2,5,7,9,10,1,3,4,6,8]=>34
[2,5,8,9,10,1,3,4,6,7]=>30
[2,6,7,8,10,1,3,4,5,9]=>32
[2,6,7,9,10,1,3,4,5,8]=>30
[2,6,8,9,10,1,3,4,5,7]=>26
[2,7,8,9,10,1,3,4,5,6]=>20
[3,4,6,8,10,1,2,5,7,9]=>38
[3,4,6,9,10,1,2,5,7,8]=>36
[3,4,7,8,10,1,2,5,6,9]=>36
[3,4,7,9,10,1,2,5,6,8]=>34
[3,4,8,9,10,1,2,5,6,7]=>30
[3,5,6,8,10,1,2,4,7,9]=>36
[3,5,6,9,10,1,2,4,7,8]=>34
[3,5,7,8,10,1,2,4,6,9]=>34
[3,5,7,9,10,1,2,4,6,8]=>32
[3,5,8,9,10,1,2,4,6,7]=>28
[3,6,7,8,10,1,2,4,5,9]=>30
[3,6,7,9,10,1,2,4,5,8]=>28
[3,6,8,9,10,1,2,4,5,7]=>24
[3,7,8,9,10,1,2,4,5,6]=>18
[4,5,6,8,10,1,2,3,7,9]=>32
[4,5,6,9,10,1,2,3,7,8]=>30
[4,5,7,8,10,1,2,3,6,9]=>30
[4,5,7,9,10,1,2,3,6,8]=>28
[4,5,8,9,10,1,2,3,6,7]=>24
[4,6,7,8,10,1,2,3,5,9]=>26
[4,6,7,9,10,1,2,3,5,8]=>24
[4,6,8,9,10,1,2,3,5,7]=>20
[4,7,8,9,10,1,2,3,5,6]=>14
[5,6,7,8,10,1,2,3,4,9]=>20
[5,6,7,9,10,1,2,3,4,8]=>18
[5,6,8,9,10,1,2,3,4,7]=>14
[5,7,8,9,10,1,2,3,4,6]=>8
[9,10,1,2,3,4,5,6,7,8]=>0
[8,9,10,1,2,3,4,5,6,7]=>0
[10,8,9,1,2,3,4,5,6,7]=>14
[10,9,8,1,2,3,4,5,6,7]=>22
[7,8,9,10,1,2,3,4,5,6]=>0
[10,7,8,9,1,2,3,4,5,6]=>18
[9,10,7,8,1,2,3,4,5,6]=>24
[10,9,7,8,1,2,3,4,5,6]=>32
[10,9,8,7,1,2,3,4,5,6]=>40
[10,6,7,8,9,1,2,3,4,5]=>20
[9,10,6,7,8,1,2,3,4,5]=>30
[10,9,6,7,8,1,2,3,4,5]=>38
[10,8,9,6,7,1,2,3,4,5]=>44
[10,9,8,6,7,1,2,3,4,5]=>52
[10,9,8,7,6,1,2,3,4,5]=>60
[9,10,5,6,7,8,1,2,3,4]=>32
[10,9,5,6,7,8,1,2,3,4]=>40
[8,9,10,5,6,7,1,2,3,4]=>36
[10,9,8,5,6,7,1,2,3,4]=>58
[9,10,7,8,5,6,1,2,3,4]=>56
[10,9,7,8,5,6,1,2,3,4]=>64
[10,9,8,7,5,6,1,2,3,4]=>72
[10,9,8,7,6,5,1,2,3,4]=>80
[10,7,8,9,4,5,6,1,2,3]=>54
[9,10,7,8,4,5,6,1,2,3]=>60
[10,9,7,8,4,5,6,1,2,3]=>68
[10,9,8,7,4,5,6,1,2,3]=>76
[10,8,9,6,7,4,5,1,2,3]=>74
[10,9,8,6,7,4,5,1,2,3]=>82
[10,9,8,7,6,4,5,1,2,3]=>90
[10,9,8,7,6,5,4,1,2,3]=>98
[9,10,7,8,5,6,3,4,1,2]=>80
[10,9,7,8,5,6,3,4,1,2]=>88
[10,9,8,7,5,6,3,4,1,2]=>96
[10,9,8,7,6,5,3,4,1,2]=>104
[10,9,8,7,6,5,4,3,1,2]=>112
[8,9,7,6,5,4,3,2,1,10]=>112
[1,9,10,8,7,6,5,4,3,2]=>112
[9,1,2,3,4,5,6,7,8,10]=>8
[1,10,2,3,4,5,6,7,8,9]=>8
[8,9,1,2,3,4,5,6,7,10]=>14
[1,9,10,2,3,4,5,6,7,8]=>14
[3,4,1,2,5,6,7,8,9,10]=>24
[3,2,1,4,5,6,7,8,9,10]=>22
[4,5,6,1,2,3,7,8,9,10]=>36
[4,2,5,1,3,6,7,8,9,10]=>34
[4,3,2,1,5,6,7,8,9,10]=>40
[5,6,7,8,1,2,3,4,9,10]=>32
[5,2,6,7,1,3,4,8,9,10]=>42
[5,6,3,4,1,2,7,8,9,10]=>56
[5,3,2,6,1,4,7,8,9,10]=>48
[5,4,3,2,1,6,7,8,9,10]=>60
[6,2,7,8,9,1,3,4,5,10]=>34
[6,7,3,4,8,1,2,5,9,10]=>52
[6,3,2,7,8,1,4,5,9,10]=>52
[6,4,7,2,5,1,3,8,9,10]=>60
[6,4,3,2,7,1,5,8,9,10]=>64
[6,5,4,3,2,1,7,8,9,10]=>80
[7,8,3,4,9,10,1,2,5,6]=>32
[7,8,9,4,5,6,1,2,3,10]=>54
[7,4,3,2,8,9,1,5,6,10]=>64
[7,8,5,6,3,4,1,2,9,10]=>80
[7,5,3,8,2,6,1,4,9,10]=>68
[7,5,4,3,2,8,1,6,9,10]=>80
[7,6,5,4,3,2,1,8,9,10]=>98
[8,5,9,10,2,6,7,1,3,4]=>40
[8,5,3,9,2,6,10,1,4,7]=>56
[8,6,9,4,7,2,5,1,3,10]=>70
[8,6,4,3,9,2,7,1,5,10]=>76
[8,6,5,4,3,2,9,1,7,10]=>94
[8,7,6,5,4,3,2,1,9,10]=>112
[9,7,5,4,3,10,2,8,1,6]=>82
[1,2,3,4,5,6,7,8,9,11,10]=>9
[2,1,3,4,5,6,7,8,9,10,11]=>9
[11,1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,6,5,4,3,2,1,11]=>165
[1,11,10,9,8,7,6,5,4,3,2]=>165
[2,3,4,5,6,7,8,9,10,11,1]=>0
[10,1,2,3,4,5,6,7,8,9,11]=>9
[1,11,2,3,4,5,6,7,8,9,10]=>9
[2,1,4,3,6,5,8,7,10,9,12,11]=>60
[2,1,4,3,6,5,8,7,12,11,10,9]=>92
[2,1,4,3,6,5,10,9,8,7,12,11]=>92
[2,1,4,3,6,5,12,9,8,11,10,7]=>108
[2,1,4,3,6,5,12,11,10,9,8,7]=>140
[2,1,4,3,8,7,6,5,10,9,12,11]=>92
[2,1,4,3,8,7,6,5,12,11,10,9]=>124
[2,1,4,3,10,7,6,9,8,5,12,11]=>108
[2,1,4,3,12,7,6,9,8,11,10,5]=>108
[2,1,4,3,12,7,6,11,10,9,8,5]=>140
[2,1,4,3,10,9,8,7,6,5,12,11]=>140
[2,1,4,3,12,9,8,7,6,11,10,5]=>140
[2,1,4,3,12,11,8,7,10,9,6,5]=>156
[2,1,4,3,12,11,10,9,8,7,6,5]=>188
[2,1,6,5,4,3,8,7,10,9,12,11]=>92
[2,1,6,5,4,3,8,7,12,11,10,9]=>124
[2,1,6,5,4,3,10,9,8,7,12,11]=>124
[2,1,6,5,4,3,12,9,8,11,10,7]=>140
[2,1,6,5,4,3,12,11,10,9,8,7]=>172
[2,1,8,5,4,7,6,3,10,9,12,11]=>108
[2,1,8,5,4,7,6,3,12,11,10,9]=>140
[2,1,10,5,4,7,6,9,8,3,12,11]=>108
[2,1,12,5,4,7,6,9,8,11,10,3]=>92
[2,1,12,5,4,7,6,11,10,9,8,3]=>124
[2,1,10,5,4,9,8,7,6,3,12,11]=>140
[2,1,12,5,4,9,8,7,6,11,10,3]=>124
[2,1,12,5,4,11,8,7,10,9,6,3]=>140
[2,1,12,5,4,11,10,9,8,7,6,3]=>172
[2,1,8,7,6,5,4,3,10,9,12,11]=>140
[2,1,8,7,6,5,4,3,12,11,10,9]=>172
[2,1,10,7,6,5,4,9,8,3,12,11]=>140
[2,1,12,7,6,5,4,9,8,11,10,3]=>124
[2,1,12,7,6,5,4,11,10,9,8,3]=>156
[2,1,10,9,6,5,8,7,4,3,12,11]=>156
[2,1,12,9,6,5,8,7,4,11,10,3]=>140
[2,1,12,11,6,5,8,7,10,9,4,3]=>140
[2,1,12,11,6,5,10,9,8,7,4,3]=>172
[2,1,10,9,8,7,6,5,4,3,12,11]=>188
[2,1,12,9,8,7,6,5,4,11,10,3]=>172
[2,1,12,11,8,7,6,5,10,9,4,3]=>172
[2,1,12,11,10,7,6,9,8,5,4,3]=>188
[2,1,12,11,10,9,8,7,6,5,4,3]=>220
[4,3,2,1,6,5,8,7,10,9,12,11]=>92
[4,3,2,1,6,5,8,7,12,11,10,9]=>124
[4,3,2,1,6,5,10,9,8,7,12,11]=>124
[4,3,2,1,6,5,12,9,8,11,10,7]=>140
[4,3,2,1,6,5,12,11,10,9,8,7]=>172
[4,3,2,1,8,7,6,5,10,9,12,11]=>124
[4,3,2,1,8,7,6,5,12,11,10,9]=>156
[4,3,2,1,10,7,6,9,8,5,12,11]=>140
[4,3,2,1,12,7,6,9,8,11,10,5]=>140
[4,3,2,1,12,7,6,11,10,9,8,5]=>172
[4,3,2,1,10,9,8,7,6,5,12,11]=>172
[4,3,2,1,12,9,8,7,6,11,10,5]=>172
[4,3,2,1,12,11,8,7,10,9,6,5]=>188
[4,3,2,1,12,11,10,9,8,7,6,5]=>220
[6,3,2,5,4,1,8,7,10,9,12,11]=>108
[6,3,2,5,4,1,8,7,12,11,10,9]=>140
[6,3,2,5,4,1,10,9,8,7,12,11]=>140
[6,3,2,5,4,1,12,9,8,11,10,7]=>156
[6,3,2,5,4,1,12,11,10,9,8,7]=>188
[8,3,2,5,4,7,6,1,10,9,12,11]=>108
[8,3,2,5,4,7,6,1,12,11,10,9]=>140
[10,3,2,5,4,7,6,9,8,1,12,11]=>92
[12,3,2,5,4,7,6,9,8,11,10,1]=>60
[12,3,2,5,4,7,6,11,10,9,8,1]=>92
[10,3,2,5,4,9,8,7,6,1,12,11]=>124
[12,3,2,5,4,9,8,7,6,11,10,1]=>92
[12,3,2,5,4,11,8,7,10,9,6,1]=>108
[12,3,2,5,4,11,10,9,8,7,6,1]=>140
[8,3,2,7,6,5,4,1,10,9,12,11]=>140
[8,3,2,7,6,5,4,1,12,11,10,9]=>172
[10,3,2,7,6,5,4,9,8,1,12,11]=>124
[12,3,2,7,6,5,4,9,8,11,10,1]=>92
[12,3,2,7,6,5,4,11,10,9,8,1]=>124
[10,3,2,9,6,5,8,7,4,1,12,11]=>140
[12,3,2,9,6,5,8,7,4,11,10,1]=>108
[12,3,2,11,6,5,8,7,10,9,4,1]=>108
[12,3,2,11,6,5,10,9,8,7,4,1]=>140
[10,3,2,9,8,7,6,5,4,1,12,11]=>172
[12,3,2,9,8,7,6,5,4,11,10,1]=>140
[12,3,2,11,8,7,6,5,10,9,4,1]=>140
[12,3,2,11,10,7,6,9,8,5,4,1]=>156
[12,3,2,11,10,9,8,7,6,5,4,1]=>188
[6,5,4,3,2,1,8,7,10,9,12,11]=>140
[6,5,4,3,2,1,8,7,12,11,10,9]=>172
[6,5,4,3,2,1,10,9,8,7,12,11]=>172
[6,5,4,3,2,1,12,9,8,11,10,7]=>188
[6,5,4,3,2,1,12,11,10,9,8,7]=>220
[8,5,4,3,2,7,6,1,10,9,12,11]=>140
[8,5,4,3,2,7,6,1,12,11,10,9]=>172
[10,5,4,3,2,7,6,9,8,1,12,11]=>124
[12,5,4,3,2,7,6,9,8,11,10,1]=>92
[12,5,4,3,2,7,6,11,10,9,8,1]=>124
[10,5,4,3,2,9,8,7,6,1,12,11]=>156
[12,5,4,3,2,9,8,7,6,11,10,1]=>124
[12,5,4,3,2,11,8,7,10,9,6,1]=>140
[12,5,4,3,2,11,10,9,8,7,6,1]=>172
[8,7,4,3,6,5,2,1,10,9,12,11]=>156
[8,7,4,3,6,5,2,1,12,11,10,9]=>188
[10,7,4,3,6,5,2,9,8,1,12,11]=>140
[12,7,4,3,6,5,2,9,8,11,10,1]=>108
[12,7,4,3,6,5,2,11,10,9,8,1]=>140
[10,9,4,3,6,5,8,7,2,1,12,11]=>140
[12,9,4,3,6,5,8,7,2,11,10,1]=>108
[12,11,4,3,6,5,8,7,10,9,2,1]=>92
[12,11,4,3,6,5,10,9,8,7,2,1]=>124
[10,9,4,3,8,7,6,5,2,1,12,11]=>172
[12,9,4,3,8,7,6,5,2,11,10,1]=>140
[12,11,4,3,8,7,6,5,10,9,2,1]=>124
[12,11,4,3,10,7,6,9,8,5,2,1]=>140
[12,11,4,3,10,9,8,7,6,5,2,1]=>172
[8,7,6,5,4,3,2,1,10,9,12,11]=>188
[8,7,6,5,4,3,2,1,12,11,10,9]=>220
[10,7,6,5,4,3,2,9,8,1,12,11]=>172
[12,7,6,5,4,3,2,9,8,11,10,1]=>140
[12,7,6,5,4,3,2,11,10,9,8,1]=>172
[10,9,6,5,4,3,8,7,2,1,12,11]=>172
[12,9,6,5,4,3,8,7,2,11,10,1]=>140
[12,11,6,5,4,3,8,7,10,9,2,1]=>124
[12,11,6,5,4,3,10,9,8,7,2,1]=>156
[10,9,8,5,4,7,6,3,2,1,12,11]=>188
[12,9,8,5,4,7,6,3,2,11,10,1]=>156
[12,11,8,5,4,7,6,3,10,9,2,1]=>140
[12,11,10,5,4,7,6,9,8,3,2,1]=>140
[12,11,10,5,4,9,8,7,6,3,2,1]=>172
[10,9,8,7,6,5,4,3,2,1,12,11]=>220
[12,9,8,7,6,5,4,3,2,11,10,1]=>188
[12,11,8,7,6,5,4,3,10,9,2,1]=>172
[12,11,10,7,6,5,4,9,8,3,2,1]=>172
[12,11,10,9,6,5,8,7,4,3,2,1]=>188
[12,11,10,9,8,7,6,5,4,3,2,1]=>220
[2,4,6,8,10,12,1,3,5,7,9,11]=>70
[2,4,6,8,11,12,1,3,5,7,9,10]=>68
[2,4,6,9,10,12,1,3,5,7,8,11]=>68
[2,4,6,9,11,12,1,3,5,7,8,10]=>66
[2,4,6,10,11,12,1,3,5,7,8,9]=>62
[2,4,7,8,10,12,1,3,5,6,9,11]=>68
[2,4,7,8,11,12,1,3,5,6,9,10]=>66
[2,4,7,9,10,12,1,3,5,6,8,11]=>66
[2,4,7,9,11,12,1,3,5,6,8,10]=>64
[2,4,7,10,11,12,1,3,5,6,8,9]=>60
[2,4,8,9,10,12,1,3,5,6,7,11]=>62
[2,4,8,9,11,12,1,3,5,6,7,10]=>60
[2,4,8,10,11,12,1,3,5,6,7,9]=>56
[2,4,9,10,11,12,1,3,5,6,7,8]=>50
[2,5,6,8,10,12,1,3,4,7,9,11]=>68
[2,5,6,8,11,12,1,3,4,7,9,10]=>66
[2,5,6,9,10,12,1,3,4,7,8,11]=>66
[2,5,6,9,11,12,1,3,4,7,8,10]=>64
[2,5,6,10,11,12,1,3,4,7,8,9]=>60
[2,5,7,8,10,12,1,3,4,6,9,11]=>66
[2,5,7,8,11,12,1,3,4,6,9,10]=>64
[2,5,7,9,10,12,1,3,4,6,8,11]=>64
[2,5,7,9,11,12,1,3,4,6,8,10]=>62
[2,5,7,10,11,12,1,3,4,6,8,9]=>58
[2,5,8,9,10,12,1,3,4,6,7,11]=>60
[2,5,8,9,11,12,1,3,4,6,7,10]=>58
[2,5,8,10,11,12,1,3,4,6,7,9]=>54
[2,5,9,10,11,12,1,3,4,6,7,8]=>48
[2,6,7,8,10,12,1,3,4,5,9,11]=>62
[2,6,7,8,11,12,1,3,4,5,9,10]=>60
[2,6,7,9,10,12,1,3,4,5,8,11]=>60
[2,6,7,9,11,12,1,3,4,5,8,10]=>58
[2,6,7,10,11,12,1,3,4,5,8,9]=>54
[2,6,8,9,10,12,1,3,4,5,7,11]=>56
[2,6,8,9,11,12,1,3,4,5,7,10]=>54
[2,6,8,10,11,12,1,3,4,5,7,9]=>50
[2,6,9,10,11,12,1,3,4,5,7,8]=>44
[2,7,8,9,10,12,1,3,4,5,6,11]=>50
[2,7,8,9,11,12,1,3,4,5,6,10]=>48
[2,7,8,10,11,12,1,3,4,5,6,9]=>44
[2,7,9,10,11,12,1,3,4,5,6,8]=>38
[2,8,9,10,11,12,1,3,4,5,6,7]=>30
[3,4,6,8,10,12,1,2,5,7,9,11]=>68
[3,4,6,8,11,12,1,2,5,7,9,10]=>66
[3,4,6,9,10,12,1,2,5,7,8,11]=>66
[3,4,6,9,11,12,1,2,5,7,8,10]=>64
[3,4,6,10,11,12,1,2,5,7,8,9]=>60
[3,4,7,8,10,12,1,2,5,6,9,11]=>66
[3,4,7,8,11,12,1,2,5,6,9,10]=>64
[3,4,7,9,10,12,1,2,5,6,8,11]=>64
[3,4,7,9,11,12,1,2,5,6,8,10]=>62
[3,4,7,10,11,12,1,2,5,6,8,9]=>58
[3,4,8,9,10,12,1,2,5,6,7,11]=>60
[3,4,8,9,11,12,1,2,5,6,7,10]=>58
[3,4,8,10,11,12,1,2,5,6,7,9]=>54
[3,4,9,10,11,12,1,2,5,6,7,8]=>48
[3,5,6,8,10,12,1,2,4,7,9,11]=>66
[3,5,6,8,11,12,1,2,4,7,9,10]=>64
[3,5,6,9,10,12,1,2,4,7,8,11]=>64
[3,5,6,9,11,12,1,2,4,7,8,10]=>62
[3,5,6,10,11,12,1,2,4,7,8,9]=>58
[3,5,7,8,10,12,1,2,4,6,9,11]=>64
[3,5,7,8,11,12,1,2,4,6,9,10]=>62
[3,5,7,9,10,12,1,2,4,6,8,11]=>62
[3,5,7,9,11,12,1,2,4,6,8,10]=>60
[3,5,7,10,11,12,1,2,4,6,8,9]=>56
[3,5,8,9,10,12,1,2,4,6,7,11]=>58
[3,5,8,9,11,12,1,2,4,6,7,10]=>56
[3,5,8,10,11,12,1,2,4,6,7,9]=>52
[3,5,9,10,11,12,1,2,4,6,7,8]=>46
[3,6,7,8,10,12,1,2,4,5,9,11]=>60
[3,6,7,8,11,12,1,2,4,5,9,10]=>58
[3,6,7,9,10,12,1,2,4,5,8,11]=>58
[3,6,7,9,11,12,1,2,4,5,8,10]=>56
[3,6,7,10,11,12,1,2,4,5,8,9]=>52
[3,6,8,9,10,12,1,2,4,5,7,11]=>54
[3,6,8,9,11,12,1,2,4,5,7,10]=>52
[3,6,8,10,11,12,1,2,4,5,7,9]=>48
[3,6,9,10,11,12,1,2,4,5,7,8]=>42
[3,7,8,9,10,12,1,2,4,5,6,11]=>48
[3,7,8,9,11,12,1,2,4,5,6,10]=>46
[3,7,8,10,11,12,1,2,4,5,6,9]=>42
[3,7,9,10,11,12,1,2,4,5,6,8]=>36
[3,8,9,10,11,12,1,2,4,5,6,7]=>28
[4,5,6,8,10,12,1,2,3,7,9,11]=>62
[4,5,6,8,11,12,1,2,3,7,9,10]=>60
[4,5,6,9,10,12,1,2,3,7,8,11]=>60
[4,5,6,9,11,12,1,2,3,7,8,10]=>58
[4,5,6,10,11,12,1,2,3,7,8,9]=>54
[4,5,7,8,10,12,1,2,3,6,9,11]=>60
[4,5,7,8,11,12,1,2,3,6,9,10]=>58
[4,5,7,9,10,12,1,2,3,6,8,11]=>58
[4,5,7,9,11,12,1,2,3,6,8,10]=>56
[4,5,7,10,11,12,1,2,3,6,8,9]=>52
[4,5,8,9,10,12,1,2,3,6,7,11]=>54
[4,5,8,9,11,12,1,2,3,6,7,10]=>52
[4,5,8,10,11,12,1,2,3,6,7,9]=>48
[4,5,9,10,11,12,1,2,3,6,7,8]=>42
[4,6,7,8,10,12,1,2,3,5,9,11]=>56
[4,6,7,8,11,12,1,2,3,5,9,10]=>54
[4,6,7,9,10,12,1,2,3,5,8,11]=>54
[4,6,7,9,11,12,1,2,3,5,8,10]=>52
[4,6,7,10,11,12,1,2,3,5,8,9]=>48
[4,6,8,9,10,12,1,2,3,5,7,11]=>50
[4,6,8,9,11,12,1,2,3,5,7,10]=>48
[4,6,8,10,11,12,1,2,3,5,7,9]=>44
[4,6,9,10,11,12,1,2,3,5,7,8]=>38
[4,7,8,9,10,12,1,2,3,5,6,11]=>44
[4,7,8,9,11,12,1,2,3,5,6,10]=>42
[4,7,8,10,11,12,1,2,3,5,6,9]=>38
[4,7,9,10,11,12,1,2,3,5,6,8]=>32
[4,8,9,10,11,12,1,2,3,5,6,7]=>24
[5,6,7,8,10,12,1,2,3,4,9,11]=>50
[5,6,7,8,11,12,1,2,3,4,9,10]=>48
[5,6,7,9,10,12,1,2,3,4,8,11]=>48
[5,6,7,9,11,12,1,2,3,4,8,10]=>46
[5,6,7,10,11,12,1,2,3,4,8,9]=>42
[5,6,8,9,10,12,1,2,3,4,7,11]=>44
[5,6,8,9,11,12,1,2,3,4,7,10]=>42
[5,6,8,10,11,12,1,2,3,4,7,9]=>38
[5,6,9,10,11,12,1,2,3,4,7,8]=>32
[5,7,8,9,10,12,1,2,3,4,6,11]=>38
[5,7,8,9,11,12,1,2,3,4,6,10]=>36
[5,7,8,10,11,12,1,2,3,4,6,9]=>32
[5,7,9,10,11,12,1,2,3,4,6,8]=>26
[5,8,9,10,11,12,1,2,3,4,6,7]=>18
[6,7,8,9,10,12,1,2,3,4,5,11]=>30
[6,7,8,9,11,12,1,2,3,4,5,10]=>28
[6,7,8,10,11,12,1,2,3,4,5,9]=>24
[6,7,9,10,11,12,1,2,3,4,5,8]=>18
[6,8,9,10,11,12,1,2,3,4,5,7]=>10
[7,8,9,10,11,12,1,2,3,4,5,6]=>0
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Description
The number of occurrences of one of the patterns 132, 213 or 321 in a permutation.
According to [1], this statistic was studied by Doron Gepner in the context of conformal field theory.
According to [1], this statistic was studied by Doron Gepner in the context of conformal field theory.
References
[1] Zeilberger, D. Doron Gepner's Statistics on Words in $\{$1,2,3$\}$ is (most probably) Asymptotically Logistic arXiv:1604.00663
Code
def statistic(pi):
return len(pi.pattern_positions([1,3,2])) + len(pi.pattern_positions([2,1,3])) + len(pi.pattern_positions([3,2,1]))
Created
Apr 05, 2016 at 08:32 by Martin Rubey
Updated
May 12, 2020 at 15:15 by Martin Rubey
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!