Identifier
- St000828: Permutations ⟶ ℤ
Values
=>
[1]=>0
[1,2]=>0
[2,1]=>2
[1,2,3]=>0
[1,3,2]=>2
[2,1,3]=>2
[2,3,1]=>6
[3,1,2]=>6
[3,2,1]=>8
[1,2,3,4]=>0
[1,2,4,3]=>2
[1,3,2,4]=>2
[1,3,4,2]=>6
[1,4,2,3]=>6
[1,4,3,2]=>8
[2,1,3,4]=>2
[2,1,4,3]=>4
[2,3,1,4]=>6
[2,3,4,1]=>12
[2,4,1,3]=>10
[2,4,3,1]=>14
[3,1,2,4]=>6
[3,1,4,2]=>10
[3,2,1,4]=>8
[3,2,4,1]=>14
[3,4,1,2]=>16
[3,4,2,1]=>18
[4,1,2,3]=>12
[4,1,3,2]=>14
[4,2,1,3]=>14
[4,2,3,1]=>18
[4,3,1,2]=>18
[4,3,2,1]=>20
[1,2,3,4,5]=>0
[1,2,3,5,4]=>2
[1,2,4,3,5]=>2
[1,2,4,5,3]=>6
[1,2,5,3,4]=>6
[1,2,5,4,3]=>8
[1,3,2,4,5]=>2
[1,3,2,5,4]=>4
[1,3,4,2,5]=>6
[1,3,4,5,2]=>12
[1,3,5,2,4]=>10
[1,3,5,4,2]=>14
[1,4,2,3,5]=>6
[1,4,2,5,3]=>10
[1,4,3,2,5]=>8
[1,4,3,5,2]=>14
[1,4,5,2,3]=>16
[1,4,5,3,2]=>18
[1,5,2,3,4]=>12
[1,5,2,4,3]=>14
[1,5,3,2,4]=>14
[1,5,3,4,2]=>18
[1,5,4,2,3]=>18
[1,5,4,3,2]=>20
[2,1,3,4,5]=>2
[2,1,3,5,4]=>4
[2,1,4,3,5]=>4
[2,1,4,5,3]=>8
[2,1,5,3,4]=>8
[2,1,5,4,3]=>10
[2,3,1,4,5]=>6
[2,3,1,5,4]=>8
[2,3,4,1,5]=>12
[2,3,4,5,1]=>20
[2,3,5,1,4]=>16
[2,3,5,4,1]=>22
[2,4,1,3,5]=>10
[2,4,1,5,3]=>14
[2,4,3,1,5]=>14
[2,4,3,5,1]=>22
[2,4,5,1,3]=>22
[2,4,5,3,1]=>26
[2,5,1,3,4]=>16
[2,5,1,4,3]=>18
[2,5,3,1,4]=>20
[2,5,3,4,1]=>26
[2,5,4,1,3]=>24
[2,5,4,3,1]=>28
[3,1,2,4,5]=>6
[3,1,2,5,4]=>8
[3,1,4,2,5]=>10
[3,1,4,5,2]=>16
[3,1,5,2,4]=>14
[3,1,5,4,2]=>18
[3,2,1,4,5]=>8
[3,2,1,5,4]=>10
[3,2,4,1,5]=>14
[3,2,4,5,1]=>22
[3,2,5,1,4]=>18
[3,2,5,4,1]=>24
[3,4,1,2,5]=>16
[3,4,1,5,2]=>22
[3,4,2,1,5]=>18
[3,4,2,5,1]=>26
[3,4,5,1,2]=>30
[3,4,5,2,1]=>32
[3,5,1,2,4]=>22
[3,5,1,4,2]=>26
[3,5,2,1,4]=>24
[3,5,2,4,1]=>30
[3,5,4,1,2]=>32
[3,5,4,2,1]=>34
[4,1,2,3,5]=>12
[4,1,2,5,3]=>16
[4,1,3,2,5]=>14
[4,1,3,5,2]=>20
[4,1,5,2,3]=>22
[4,1,5,3,2]=>24
[4,2,1,3,5]=>14
[4,2,1,5,3]=>18
[4,2,3,1,5]=>18
[4,2,3,5,1]=>26
[4,2,5,1,3]=>26
[4,2,5,3,1]=>30
[4,3,1,2,5]=>18
[4,3,1,5,2]=>24
[4,3,2,1,5]=>20
[4,3,2,5,1]=>28
[4,3,5,1,2]=>32
[4,3,5,2,1]=>34
[4,5,1,2,3]=>30
[4,5,1,3,2]=>32
[4,5,2,1,3]=>32
[4,5,2,3,1]=>36
[4,5,3,1,2]=>36
[4,5,3,2,1]=>38
[5,1,2,3,4]=>20
[5,1,2,4,3]=>22
[5,1,3,2,4]=>22
[5,1,3,4,2]=>26
[5,1,4,2,3]=>26
[5,1,4,3,2]=>28
[5,2,1,3,4]=>22
[5,2,1,4,3]=>24
[5,2,3,1,4]=>26
[5,2,3,4,1]=>32
[5,2,4,1,3]=>30
[5,2,4,3,1]=>34
[5,3,1,2,4]=>26
[5,3,1,4,2]=>30
[5,3,2,1,4]=>28
[5,3,2,4,1]=>34
[5,3,4,1,2]=>36
[5,3,4,2,1]=>38
[5,4,1,2,3]=>32
[5,4,1,3,2]=>34
[5,4,2,1,3]=>34
[5,4,2,3,1]=>38
[5,4,3,1,2]=>38
[5,4,3,2,1]=>40
[1,2,3,4,5,6]=>0
[1,2,3,4,6,5]=>2
[1,2,3,5,4,6]=>2
[1,2,3,5,6,4]=>6
[1,2,3,6,4,5]=>6
[1,2,3,6,5,4]=>8
[1,2,4,3,5,6]=>2
[1,2,4,3,6,5]=>4
[1,2,4,5,3,6]=>6
[1,2,4,5,6,3]=>12
[1,2,4,6,3,5]=>10
[1,2,4,6,5,3]=>14
[1,2,5,3,4,6]=>6
[1,2,5,3,6,4]=>10
[1,2,5,4,3,6]=>8
[1,2,5,4,6,3]=>14
[1,2,5,6,3,4]=>16
[1,2,5,6,4,3]=>18
[1,2,6,3,4,5]=>12
[1,2,6,3,5,4]=>14
[1,2,6,4,3,5]=>14
[1,2,6,4,5,3]=>18
[1,2,6,5,3,4]=>18
[1,2,6,5,4,3]=>20
[1,3,2,4,5,6]=>2
[1,3,2,4,6,5]=>4
[1,3,2,5,4,6]=>4
[1,3,2,5,6,4]=>8
[1,3,2,6,4,5]=>8
[1,3,2,6,5,4]=>10
[1,3,4,2,5,6]=>6
[1,3,4,2,6,5]=>8
[1,3,4,5,2,6]=>12
[1,3,4,5,6,2]=>20
[1,3,4,6,2,5]=>16
[1,3,4,6,5,2]=>22
[1,3,5,2,4,6]=>10
[1,3,5,2,6,4]=>14
[1,3,5,4,2,6]=>14
[1,3,5,4,6,2]=>22
[1,3,5,6,2,4]=>22
[1,3,5,6,4,2]=>26
[1,3,6,2,4,5]=>16
[1,3,6,2,5,4]=>18
[1,3,6,4,2,5]=>20
[1,3,6,4,5,2]=>26
[1,3,6,5,2,4]=>24
[1,3,6,5,4,2]=>28
[1,4,2,3,5,6]=>6
[1,4,2,3,6,5]=>8
[1,4,2,5,3,6]=>10
[1,4,2,5,6,3]=>16
[1,4,2,6,3,5]=>14
[1,4,2,6,5,3]=>18
[1,4,3,2,5,6]=>8
[1,4,3,2,6,5]=>10
[1,4,3,5,2,6]=>14
[1,4,3,5,6,2]=>22
[1,4,3,6,2,5]=>18
[1,4,3,6,5,2]=>24
[1,4,5,2,3,6]=>16
[1,4,5,2,6,3]=>22
[1,4,5,3,2,6]=>18
[1,4,5,3,6,2]=>26
[1,4,5,6,2,3]=>30
[1,4,5,6,3,2]=>32
[1,4,6,2,3,5]=>22
[1,4,6,2,5,3]=>26
[1,4,6,3,2,5]=>24
[1,4,6,3,5,2]=>30
[1,4,6,5,2,3]=>32
[1,4,6,5,3,2]=>34
[1,5,2,3,4,6]=>12
[1,5,2,3,6,4]=>16
[1,5,2,4,3,6]=>14
[1,5,2,4,6,3]=>20
[1,5,2,6,3,4]=>22
[1,5,2,6,4,3]=>24
[1,5,3,2,4,6]=>14
[1,5,3,2,6,4]=>18
[1,5,3,4,2,6]=>18
[1,5,3,4,6,2]=>26
[1,5,3,6,2,4]=>26
[1,5,3,6,4,2]=>30
[1,5,4,2,3,6]=>18
[1,5,4,2,6,3]=>24
[1,5,4,3,2,6]=>20
[1,5,4,3,6,2]=>28
[1,5,4,6,2,3]=>32
[1,5,4,6,3,2]=>34
[1,5,6,2,3,4]=>30
[1,5,6,2,4,3]=>32
[1,5,6,3,2,4]=>32
[1,5,6,3,4,2]=>36
[1,5,6,4,2,3]=>36
[1,5,6,4,3,2]=>38
[1,6,2,3,4,5]=>20
[1,6,2,3,5,4]=>22
[1,6,2,4,3,5]=>22
[1,6,2,4,5,3]=>26
[1,6,2,5,3,4]=>26
[1,6,2,5,4,3]=>28
[1,6,3,2,4,5]=>22
[1,6,3,2,5,4]=>24
[1,6,3,4,2,5]=>26
[1,6,3,4,5,2]=>32
[1,6,3,5,2,4]=>30
[1,6,3,5,4,2]=>34
[1,6,4,2,3,5]=>26
[1,6,4,2,5,3]=>30
[1,6,4,3,2,5]=>28
[1,6,4,3,5,2]=>34
[1,6,4,5,2,3]=>36
[1,6,4,5,3,2]=>38
[1,6,5,2,3,4]=>32
[1,6,5,2,4,3]=>34
[1,6,5,3,2,4]=>34
[1,6,5,3,4,2]=>38
[1,6,5,4,2,3]=>38
[1,6,5,4,3,2]=>40
[2,1,3,4,5,6]=>2
[2,1,3,4,6,5]=>4
[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]=>10
[2,1,4,3,5,6]=>4
[2,1,4,3,6,5]=>6
[2,1,4,5,3,6]=>8
[2,1,4,5,6,3]=>14
[2,1,4,6,3,5]=>12
[2,1,4,6,5,3]=>16
[2,1,5,3,4,6]=>8
[2,1,5,3,6,4]=>12
[2,1,5,4,3,6]=>10
[2,1,5,4,6,3]=>16
[2,1,5,6,3,4]=>18
[2,1,5,6,4,3]=>20
[2,1,6,3,4,5]=>14
[2,1,6,3,5,4]=>16
[2,1,6,4,3,5]=>16
[2,1,6,4,5,3]=>20
[2,1,6,5,3,4]=>20
[2,1,6,5,4,3]=>22
[2,3,1,4,5,6]=>6
[2,3,1,4,6,5]=>8
[2,3,1,5,4,6]=>8
[2,3,1,5,6,4]=>12
[2,3,1,6,4,5]=>12
[2,3,1,6,5,4]=>14
[2,3,4,1,5,6]=>12
[2,3,4,1,6,5]=>14
[2,3,4,5,1,6]=>20
[2,3,4,5,6,1]=>30
[2,3,4,6,1,5]=>24
[2,3,4,6,5,1]=>32
[2,3,5,1,4,6]=>16
[2,3,5,1,6,4]=>20
[2,3,5,4,1,6]=>22
[2,3,5,4,6,1]=>32
[2,3,5,6,1,4]=>30
[2,3,5,6,4,1]=>36
[2,3,6,1,4,5]=>22
[2,3,6,1,5,4]=>24
[2,3,6,4,1,5]=>28
[2,3,6,4,5,1]=>36
[2,3,6,5,1,4]=>32
[2,3,6,5,4,1]=>38
[2,4,1,3,5,6]=>10
[2,4,1,3,6,5]=>12
[2,4,1,5,3,6]=>14
[2,4,1,5,6,3]=>20
[2,4,1,6,3,5]=>18
[2,4,1,6,5,3]=>22
[2,4,3,1,5,6]=>14
[2,4,3,1,6,5]=>16
[2,4,3,5,1,6]=>22
[2,4,3,5,6,1]=>32
[2,4,3,6,1,5]=>26
[2,4,3,6,5,1]=>34
[2,4,5,1,3,6]=>22
[2,4,5,1,6,3]=>28
[2,4,5,3,1,6]=>26
[2,4,5,3,6,1]=>36
[2,4,5,6,1,3]=>38
[2,4,5,6,3,1]=>42
[2,4,6,1,3,5]=>28
[2,4,6,1,5,3]=>32
[2,4,6,3,1,5]=>32
[2,4,6,3,5,1]=>40
[2,4,6,5,1,3]=>40
[2,4,6,5,3,1]=>44
[2,5,1,3,4,6]=>16
[2,5,1,3,6,4]=>20
[2,5,1,4,3,6]=>18
[2,5,1,4,6,3]=>24
[2,5,1,6,3,4]=>26
[2,5,1,6,4,3]=>28
[2,5,3,1,4,6]=>20
[2,5,3,1,6,4]=>24
[2,5,3,4,1,6]=>26
[2,5,3,4,6,1]=>36
[2,5,3,6,1,4]=>34
[2,5,3,6,4,1]=>40
[2,5,4,1,3,6]=>24
[2,5,4,1,6,3]=>30
[2,5,4,3,1,6]=>28
[2,5,4,3,6,1]=>38
[2,5,4,6,1,3]=>40
[2,5,4,6,3,1]=>44
[2,5,6,1,3,4]=>36
[2,5,6,1,4,3]=>38
[2,5,6,3,1,4]=>40
[2,5,6,3,4,1]=>46
[2,5,6,4,1,3]=>44
[2,5,6,4,3,1]=>48
[2,6,1,3,4,5]=>24
[2,6,1,3,5,4]=>26
[2,6,1,4,3,5]=>26
[2,6,1,4,5,3]=>30
[2,6,1,5,3,4]=>30
[2,6,1,5,4,3]=>32
[2,6,3,1,4,5]=>28
[2,6,3,1,5,4]=>30
[2,6,3,4,1,5]=>34
[2,6,3,4,5,1]=>42
[2,6,3,5,1,4]=>38
[2,6,3,5,4,1]=>44
[2,6,4,1,3,5]=>32
[2,6,4,1,5,3]=>36
[2,6,4,3,1,5]=>36
[2,6,4,3,5,1]=>44
[2,6,4,5,1,3]=>44
[2,6,4,5,3,1]=>48
[2,6,5,1,3,4]=>38
[2,6,5,1,4,3]=>40
[2,6,5,3,1,4]=>42
[2,6,5,3,4,1]=>48
[2,6,5,4,1,3]=>46
[2,6,5,4,3,1]=>50
[3,1,2,4,5,6]=>6
[3,1,2,4,6,5]=>8
[3,1,2,5,4,6]=>8
[3,1,2,5,6,4]=>12
[3,1,2,6,4,5]=>12
[3,1,2,6,5,4]=>14
[3,1,4,2,5,6]=>10
[3,1,4,2,6,5]=>12
[3,1,4,5,2,6]=>16
[3,1,4,5,6,2]=>24
[3,1,4,6,2,5]=>20
[3,1,4,6,5,2]=>26
[3,1,5,2,4,6]=>14
[3,1,5,2,6,4]=>18
[3,1,5,4,2,6]=>18
[3,1,5,4,6,2]=>26
[3,1,5,6,2,4]=>26
[3,1,5,6,4,2]=>30
[3,1,6,2,4,5]=>20
[3,1,6,2,5,4]=>22
[3,1,6,4,2,5]=>24
[3,1,6,4,5,2]=>30
[3,1,6,5,2,4]=>28
[3,1,6,5,4,2]=>32
[3,2,1,4,5,6]=>8
[3,2,1,4,6,5]=>10
[3,2,1,5,4,6]=>10
[3,2,1,5,6,4]=>14
[3,2,1,6,4,5]=>14
[3,2,1,6,5,4]=>16
[3,2,4,1,5,6]=>14
[3,2,4,1,6,5]=>16
[3,2,4,5,1,6]=>22
[3,2,4,5,6,1]=>32
[3,2,4,6,1,5]=>26
[3,2,4,6,5,1]=>34
[3,2,5,1,4,6]=>18
[3,2,5,1,6,4]=>22
[3,2,5,4,1,6]=>24
[3,2,5,4,6,1]=>34
[3,2,5,6,1,4]=>32
[3,2,5,6,4,1]=>38
[3,2,6,1,4,5]=>24
[3,2,6,1,5,4]=>26
[3,2,6,4,1,5]=>30
[3,2,6,4,5,1]=>38
[3,2,6,5,1,4]=>34
[3,2,6,5,4,1]=>40
[3,4,1,2,5,6]=>16
[3,4,1,2,6,5]=>18
[3,4,1,5,2,6]=>22
[3,4,1,5,6,2]=>30
[3,4,1,6,2,5]=>26
[3,4,1,6,5,2]=>32
[3,4,2,1,5,6]=>18
[3,4,2,1,6,5]=>20
[3,4,2,5,1,6]=>26
[3,4,2,5,6,1]=>36
[3,4,2,6,1,5]=>30
[3,4,2,6,5,1]=>38
[3,4,5,1,2,6]=>30
[3,4,5,1,6,2]=>38
[3,4,5,2,1,6]=>32
[3,4,5,2,6,1]=>42
[3,4,5,6,1,2]=>48
[3,4,5,6,2,1]=>50
[3,4,6,1,2,5]=>36
[3,4,6,1,5,2]=>42
[3,4,6,2,1,5]=>38
[3,4,6,2,5,1]=>46
[3,4,6,5,1,2]=>50
[3,4,6,5,2,1]=>52
[3,5,1,2,4,6]=>22
[3,5,1,2,6,4]=>26
[3,5,1,4,2,6]=>26
[3,5,1,4,6,2]=>34
[3,5,1,6,2,4]=>34
[3,5,1,6,4,2]=>38
[3,5,2,1,4,6]=>24
[3,5,2,1,6,4]=>28
[3,5,2,4,1,6]=>30
[3,5,2,4,6,1]=>40
[3,5,2,6,1,4]=>38
[3,5,2,6,4,1]=>44
[3,5,4,1,2,6]=>32
[3,5,4,1,6,2]=>40
[3,5,4,2,1,6]=>34
[3,5,4,2,6,1]=>44
[3,5,4,6,1,2]=>50
[3,5,4,6,2,1]=>52
[3,5,6,1,2,4]=>44
[3,5,6,1,4,2]=>48
[3,5,6,2,1,4]=>46
[3,5,6,2,4,1]=>52
[3,5,6,4,1,2]=>54
[3,5,6,4,2,1]=>56
[3,6,1,2,4,5]=>30
[3,6,1,2,5,4]=>32
[3,6,1,4,2,5]=>34
[3,6,1,4,5,2]=>40
[3,6,1,5,2,4]=>38
[3,6,1,5,4,2]=>42
[3,6,2,1,4,5]=>32
[3,6,2,1,5,4]=>34
[3,6,2,4,1,5]=>38
[3,6,2,4,5,1]=>46
[3,6,2,5,1,4]=>42
[3,6,2,5,4,1]=>48
[3,6,4,1,2,5]=>40
[3,6,4,1,5,2]=>46
[3,6,4,2,1,5]=>42
[3,6,4,2,5,1]=>50
[3,6,4,5,1,2]=>54
[3,6,4,5,2,1]=>56
[3,6,5,1,2,4]=>46
[3,6,5,1,4,2]=>50
[3,6,5,2,1,4]=>48
[3,6,5,2,4,1]=>54
[3,6,5,4,1,2]=>56
[3,6,5,4,2,1]=>58
[4,1,2,3,5,6]=>12
[4,1,2,3,6,5]=>14
[4,1,2,5,3,6]=>16
[4,1,2,5,6,3]=>22
[4,1,2,6,3,5]=>20
[4,1,2,6,5,3]=>24
[4,1,3,2,5,6]=>14
[4,1,3,2,6,5]=>16
[4,1,3,5,2,6]=>20
[4,1,3,5,6,2]=>28
[4,1,3,6,2,5]=>24
[4,1,3,6,5,2]=>30
[4,1,5,2,3,6]=>22
[4,1,5,2,6,3]=>28
[4,1,5,3,2,6]=>24
[4,1,5,3,6,2]=>32
[4,1,5,6,2,3]=>36
[4,1,5,6,3,2]=>38
[4,1,6,2,3,5]=>28
[4,1,6,2,5,3]=>32
[4,1,6,3,2,5]=>30
[4,1,6,3,5,2]=>36
[4,1,6,5,2,3]=>38
[4,1,6,5,3,2]=>40
[4,2,1,3,5,6]=>14
[4,2,1,3,6,5]=>16
[4,2,1,5,3,6]=>18
[4,2,1,5,6,3]=>24
[4,2,1,6,3,5]=>22
[4,2,1,6,5,3]=>26
[4,2,3,1,5,6]=>18
[4,2,3,1,6,5]=>20
[4,2,3,5,1,6]=>26
[4,2,3,5,6,1]=>36
[4,2,3,6,1,5]=>30
[4,2,3,6,5,1]=>38
[4,2,5,1,3,6]=>26
[4,2,5,1,6,3]=>32
[4,2,5,3,1,6]=>30
[4,2,5,3,6,1]=>40
[4,2,5,6,1,3]=>42
[4,2,5,6,3,1]=>46
[4,2,6,1,3,5]=>32
[4,2,6,1,5,3]=>36
[4,2,6,3,1,5]=>36
[4,2,6,3,5,1]=>44
[4,2,6,5,1,3]=>44
[4,2,6,5,3,1]=>48
[4,3,1,2,5,6]=>18
[4,3,1,2,6,5]=>20
[4,3,1,5,2,6]=>24
[4,3,1,5,6,2]=>32
[4,3,1,6,2,5]=>28
[4,3,1,6,5,2]=>34
[4,3,2,1,5,6]=>20
[4,3,2,1,6,5]=>22
[4,3,2,5,1,6]=>28
[4,3,2,5,6,1]=>38
[4,3,2,6,1,5]=>32
[4,3,2,6,5,1]=>40
[4,3,5,1,2,6]=>32
[4,3,5,1,6,2]=>40
[4,3,5,2,1,6]=>34
[4,3,5,2,6,1]=>44
[4,3,5,6,1,2]=>50
[4,3,5,6,2,1]=>52
[4,3,6,1,2,5]=>38
[4,3,6,1,5,2]=>44
[4,3,6,2,1,5]=>40
[4,3,6,2,5,1]=>48
[4,3,6,5,1,2]=>52
[4,3,6,5,2,1]=>54
[4,5,1,2,3,6]=>30
[4,5,1,2,6,3]=>36
[4,5,1,3,2,6]=>32
[4,5,1,3,6,2]=>40
[4,5,1,6,2,3]=>44
[4,5,1,6,3,2]=>46
[4,5,2,1,3,6]=>32
[4,5,2,1,6,3]=>38
[4,5,2,3,1,6]=>36
[4,5,2,3,6,1]=>46
[4,5,2,6,1,3]=>48
[4,5,2,6,3,1]=>52
[4,5,3,1,2,6]=>36
[4,5,3,1,6,2]=>44
[4,5,3,2,1,6]=>38
[4,5,3,2,6,1]=>48
[4,5,3,6,1,2]=>54
[4,5,3,6,2,1]=>56
[4,5,6,1,2,3]=>54
[4,5,6,1,3,2]=>56
[4,5,6,2,1,3]=>56
[4,5,6,2,3,1]=>60
[4,5,6,3,1,2]=>60
[4,5,6,3,2,1]=>62
[4,6,1,2,3,5]=>38
[4,6,1,2,5,3]=>42
[4,6,1,3,2,5]=>40
[4,6,1,3,5,2]=>46
[4,6,1,5,2,3]=>48
[4,6,1,5,3,2]=>50
[4,6,2,1,3,5]=>40
[4,6,2,1,5,3]=>44
[4,6,2,3,1,5]=>44
[4,6,2,3,5,1]=>52
[4,6,2,5,1,3]=>52
[4,6,2,5,3,1]=>56
[4,6,3,1,2,5]=>44
[4,6,3,1,5,2]=>50
[4,6,3,2,1,5]=>46
[4,6,3,2,5,1]=>54
[4,6,3,5,1,2]=>58
[4,6,3,5,2,1]=>60
[4,6,5,1,2,3]=>56
[4,6,5,1,3,2]=>58
[4,6,5,2,1,3]=>58
[4,6,5,2,3,1]=>62
[4,6,5,3,1,2]=>62
[4,6,5,3,2,1]=>64
[5,1,2,3,4,6]=>20
[5,1,2,3,6,4]=>24
[5,1,2,4,3,6]=>22
[5,1,2,4,6,3]=>28
[5,1,2,6,3,4]=>30
[5,1,2,6,4,3]=>32
[5,1,3,2,4,6]=>22
[5,1,3,2,6,4]=>26
[5,1,3,4,2,6]=>26
[5,1,3,4,6,2]=>34
[5,1,3,6,2,4]=>34
[5,1,3,6,4,2]=>38
[5,1,4,2,3,6]=>26
[5,1,4,2,6,3]=>32
[5,1,4,3,2,6]=>28
[5,1,4,3,6,2]=>36
[5,1,4,6,2,3]=>40
[5,1,4,6,3,2]=>42
[5,1,6,2,3,4]=>38
[5,1,6,2,4,3]=>40
[5,1,6,3,2,4]=>40
[5,1,6,3,4,2]=>44
[5,1,6,4,2,3]=>44
[5,1,6,4,3,2]=>46
[5,2,1,3,4,6]=>22
[5,2,1,3,6,4]=>26
[5,2,1,4,3,6]=>24
[5,2,1,4,6,3]=>30
[5,2,1,6,3,4]=>32
[5,2,1,6,4,3]=>34
[5,2,3,1,4,6]=>26
[5,2,3,1,6,4]=>30
[5,2,3,4,1,6]=>32
[5,2,3,4,6,1]=>42
[5,2,3,6,1,4]=>40
[5,2,3,6,4,1]=>46
[5,2,4,1,3,6]=>30
[5,2,4,1,6,3]=>36
[5,2,4,3,1,6]=>34
[5,2,4,3,6,1]=>44
[5,2,4,6,1,3]=>46
[5,2,4,6,3,1]=>50
[5,2,6,1,3,4]=>42
[5,2,6,1,4,3]=>44
[5,2,6,3,1,4]=>46
[5,2,6,3,4,1]=>52
[5,2,6,4,1,3]=>50
[5,2,6,4,3,1]=>54
[5,3,1,2,4,6]=>26
[5,3,1,2,6,4]=>30
[5,3,1,4,2,6]=>30
[5,3,1,4,6,2]=>38
[5,3,1,6,2,4]=>38
[5,3,1,6,4,2]=>42
[5,3,2,1,4,6]=>28
[5,3,2,1,6,4]=>32
[5,3,2,4,1,6]=>34
[5,3,2,4,6,1]=>44
[5,3,2,6,1,4]=>42
[5,3,2,6,4,1]=>48
[5,3,4,1,2,6]=>36
[5,3,4,1,6,2]=>44
[5,3,4,2,1,6]=>38
[5,3,4,2,6,1]=>48
[5,3,4,6,1,2]=>54
[5,3,4,6,2,1]=>56
[5,3,6,1,2,4]=>48
[5,3,6,1,4,2]=>52
[5,3,6,2,1,4]=>50
[5,3,6,2,4,1]=>56
[5,3,6,4,1,2]=>58
[5,3,6,4,2,1]=>60
[5,4,1,2,3,6]=>32
[5,4,1,2,6,3]=>38
[5,4,1,3,2,6]=>34
[5,4,1,3,6,2]=>42
[5,4,1,6,2,3]=>46
[5,4,1,6,3,2]=>48
[5,4,2,1,3,6]=>34
[5,4,2,1,6,3]=>40
[5,4,2,3,1,6]=>38
[5,4,2,3,6,1]=>48
[5,4,2,6,1,3]=>50
[5,4,2,6,3,1]=>54
[5,4,3,1,2,6]=>38
[5,4,3,1,6,2]=>46
[5,4,3,2,1,6]=>40
[5,4,3,2,6,1]=>50
[5,4,3,6,1,2]=>56
[5,4,3,6,2,1]=>58
[5,4,6,1,2,3]=>56
[5,4,6,1,3,2]=>58
[5,4,6,2,1,3]=>58
[5,4,6,2,3,1]=>62
[5,4,6,3,1,2]=>62
[5,4,6,3,2,1]=>64
[5,6,1,2,3,4]=>48
[5,6,1,2,4,3]=>50
[5,6,1,3,2,4]=>50
[5,6,1,3,4,2]=>54
[5,6,1,4,2,3]=>54
[5,6,1,4,3,2]=>56
[5,6,2,1,3,4]=>50
[5,6,2,1,4,3]=>52
[5,6,2,3,1,4]=>54
[5,6,2,3,4,1]=>60
[5,6,2,4,1,3]=>58
[5,6,2,4,3,1]=>62
[5,6,3,1,2,4]=>54
[5,6,3,1,4,2]=>58
[5,6,3,2,1,4]=>56
[5,6,3,2,4,1]=>62
[5,6,3,4,1,2]=>64
[5,6,3,4,2,1]=>66
[5,6,4,1,2,3]=>60
[5,6,4,1,3,2]=>62
[5,6,4,2,1,3]=>62
[5,6,4,2,3,1]=>66
[5,6,4,3,1,2]=>66
[5,6,4,3,2,1]=>68
[6,1,2,3,4,5]=>30
[6,1,2,3,5,4]=>32
[6,1,2,4,3,5]=>32
[6,1,2,4,5,3]=>36
[6,1,2,5,3,4]=>36
[6,1,2,5,4,3]=>38
[6,1,3,2,4,5]=>32
[6,1,3,2,5,4]=>34
[6,1,3,4,2,5]=>36
[6,1,3,4,5,2]=>42
[6,1,3,5,2,4]=>40
[6,1,3,5,4,2]=>44
[6,1,4,2,3,5]=>36
[6,1,4,2,5,3]=>40
[6,1,4,3,2,5]=>38
[6,1,4,3,5,2]=>44
[6,1,4,5,2,3]=>46
[6,1,4,5,3,2]=>48
[6,1,5,2,3,4]=>42
[6,1,5,2,4,3]=>44
[6,1,5,3,2,4]=>44
[6,1,5,3,4,2]=>48
[6,1,5,4,2,3]=>48
[6,1,5,4,3,2]=>50
[6,2,1,3,4,5]=>32
[6,2,1,3,5,4]=>34
[6,2,1,4,3,5]=>34
[6,2,1,4,5,3]=>38
[6,2,1,5,3,4]=>38
[6,2,1,5,4,3]=>40
[6,2,3,1,4,5]=>36
[6,2,3,1,5,4]=>38
[6,2,3,4,1,5]=>42
[6,2,3,4,5,1]=>50
[6,2,3,5,1,4]=>46
[6,2,3,5,4,1]=>52
[6,2,4,1,3,5]=>40
[6,2,4,1,5,3]=>44
[6,2,4,3,1,5]=>44
[6,2,4,3,5,1]=>52
[6,2,4,5,1,3]=>52
[6,2,4,5,3,1]=>56
[6,2,5,1,3,4]=>46
[6,2,5,1,4,3]=>48
[6,2,5,3,1,4]=>50
[6,2,5,3,4,1]=>56
[6,2,5,4,1,3]=>54
[6,2,5,4,3,1]=>58
[6,3,1,2,4,5]=>36
[6,3,1,2,5,4]=>38
[6,3,1,4,2,5]=>40
[6,3,1,4,5,2]=>46
[6,3,1,5,2,4]=>44
[6,3,1,5,4,2]=>48
[6,3,2,1,4,5]=>38
[6,3,2,1,5,4]=>40
[6,3,2,4,1,5]=>44
[6,3,2,4,5,1]=>52
[6,3,2,5,1,4]=>48
[6,3,2,5,4,1]=>54
[6,3,4,1,2,5]=>46
[6,3,4,1,5,2]=>52
[6,3,4,2,1,5]=>48
[6,3,4,2,5,1]=>56
[6,3,4,5,1,2]=>60
[6,3,4,5,2,1]=>62
[6,3,5,1,2,4]=>52
[6,3,5,1,4,2]=>56
[6,3,5,2,1,4]=>54
[6,3,5,2,4,1]=>60
[6,3,5,4,1,2]=>62
[6,3,5,4,2,1]=>64
[6,4,1,2,3,5]=>42
[6,4,1,2,5,3]=>46
[6,4,1,3,2,5]=>44
[6,4,1,3,5,2]=>50
[6,4,1,5,2,3]=>52
[6,4,1,5,3,2]=>54
[6,4,2,1,3,5]=>44
[6,4,2,1,5,3]=>48
[6,4,2,3,1,5]=>48
[6,4,2,3,5,1]=>56
[6,4,2,5,1,3]=>56
[6,4,2,5,3,1]=>60
[6,4,3,1,2,5]=>48
[6,4,3,1,5,2]=>54
[6,4,3,2,1,5]=>50
[6,4,3,2,5,1]=>58
[6,4,3,5,1,2]=>62
[6,4,3,5,2,1]=>64
[6,4,5,1,2,3]=>60
[6,4,5,1,3,2]=>62
[6,4,5,2,1,3]=>62
[6,4,5,2,3,1]=>66
[6,4,5,3,1,2]=>66
[6,4,5,3,2,1]=>68
[6,5,1,2,3,4]=>50
[6,5,1,2,4,3]=>52
[6,5,1,3,2,4]=>52
[6,5,1,3,4,2]=>56
[6,5,1,4,2,3]=>56
[6,5,1,4,3,2]=>58
[6,5,2,1,3,4]=>52
[6,5,2,1,4,3]=>54
[6,5,2,3,1,4]=>56
[6,5,2,3,4,1]=>62
[6,5,2,4,1,3]=>60
[6,5,2,4,3,1]=>64
[6,5,3,1,2,4]=>56
[6,5,3,1,4,2]=>60
[6,5,3,2,1,4]=>58
[6,5,3,2,4,1]=>64
[6,5,3,4,1,2]=>66
[6,5,3,4,2,1]=>68
[6,5,4,1,2,3]=>62
[6,5,4,1,3,2]=>64
[6,5,4,2,1,3]=>64
[6,5,4,2,3,1]=>68
[6,5,4,3,1,2]=>68
[6,5,4,3,2,1]=>70
[1,2,3,4,5,6,7]=>0
[1,2,3,4,5,7,6]=>2
[1,2,3,4,6,5,7]=>2
[1,2,3,4,6,7,5]=>6
[1,2,3,4,7,5,6]=>6
[1,2,3,4,7,6,5]=>8
[1,2,3,5,4,6,7]=>2
[1,2,3,5,4,7,6]=>4
[1,2,3,5,6,4,7]=>6
[1,2,3,5,6,7,4]=>12
[1,2,3,5,7,4,6]=>10
[1,2,3,5,7,6,4]=>14
[1,2,3,6,4,5,7]=>6
[1,2,3,6,4,7,5]=>10
[1,2,3,6,5,4,7]=>8
[1,2,3,6,5,7,4]=>14
[1,2,3,6,7,4,5]=>16
[1,2,3,6,7,5,4]=>18
[1,2,3,7,4,5,6]=>12
[1,2,3,7,4,6,5]=>14
[1,2,3,7,5,4,6]=>14
[1,2,3,7,5,6,4]=>18
[1,2,3,7,6,4,5]=>18
[1,2,3,7,6,5,4]=>20
[1,2,4,3,5,6,7]=>2
[1,2,4,3,5,7,6]=>4
[1,2,4,3,6,5,7]=>4
[1,2,4,3,6,7,5]=>8
[1,2,4,3,7,5,6]=>8
[1,2,4,3,7,6,5]=>10
[1,2,4,5,3,6,7]=>6
[1,2,4,5,3,7,6]=>8
[1,2,4,5,6,3,7]=>12
[1,2,4,5,6,7,3]=>20
[1,2,4,5,7,3,6]=>16
[1,2,4,5,7,6,3]=>22
[1,2,4,6,3,5,7]=>10
[1,2,4,6,3,7,5]=>14
[1,2,4,6,5,3,7]=>14
[1,2,4,6,5,7,3]=>22
[1,2,4,6,7,3,5]=>22
[1,2,4,6,7,5,3]=>26
[1,2,4,7,3,5,6]=>16
[1,2,4,7,3,6,5]=>18
[1,2,4,7,5,3,6]=>20
[1,2,4,7,5,6,3]=>26
[1,2,4,7,6,3,5]=>24
[1,2,4,7,6,5,3]=>28
[1,2,5,3,4,6,7]=>6
[1,2,5,3,4,7,6]=>8
[1,2,5,3,6,4,7]=>10
[1,2,5,3,6,7,4]=>16
[1,2,5,3,7,4,6]=>14
[1,2,5,3,7,6,4]=>18
[1,2,5,4,3,6,7]=>8
[1,2,5,4,3,7,6]=>10
[1,2,5,4,6,3,7]=>14
[1,2,5,4,6,7,3]=>22
[1,2,5,4,7,3,6]=>18
[1,2,5,4,7,6,3]=>24
[1,2,5,6,3,4,7]=>16
[1,2,5,6,3,7,4]=>22
[1,2,5,6,4,3,7]=>18
[1,2,5,6,4,7,3]=>26
[1,2,5,6,7,3,4]=>30
[1,2,5,6,7,4,3]=>32
[1,2,5,7,3,4,6]=>22
[1,2,5,7,3,6,4]=>26
[1,2,5,7,4,3,6]=>24
[1,2,5,7,4,6,3]=>30
[1,2,5,7,6,3,4]=>32
[1,2,5,7,6,4,3]=>34
[1,2,6,3,4,5,7]=>12
[1,2,6,3,4,7,5]=>16
[1,2,6,3,5,4,7]=>14
[1,2,6,3,5,7,4]=>20
[1,2,6,3,7,4,5]=>22
[1,2,6,3,7,5,4]=>24
[1,2,6,4,3,5,7]=>14
[1,2,6,4,3,7,5]=>18
[1,2,6,4,5,3,7]=>18
[1,2,6,4,5,7,3]=>26
[1,2,6,4,7,3,5]=>26
[1,2,6,4,7,5,3]=>30
[1,2,6,5,3,4,7]=>18
[1,2,6,5,3,7,4]=>24
[1,2,6,5,4,3,7]=>20
[1,2,6,5,4,7,3]=>28
[1,2,6,5,7,3,4]=>32
[1,2,6,5,7,4,3]=>34
[1,2,6,7,3,4,5]=>30
[1,2,6,7,3,5,4]=>32
[1,2,6,7,4,3,5]=>32
[1,2,6,7,4,5,3]=>36
[1,2,6,7,5,3,4]=>36
[1,2,6,7,5,4,3]=>38
[1,2,7,3,4,5,6]=>20
[1,2,7,3,4,6,5]=>22
[1,2,7,3,5,4,6]=>22
[1,2,7,3,5,6,4]=>26
[1,2,7,3,6,4,5]=>26
[1,2,7,3,6,5,4]=>28
[1,2,7,4,3,5,6]=>22
[1,2,7,4,3,6,5]=>24
[1,2,7,4,5,3,6]=>26
[1,2,7,4,5,6,3]=>32
[1,2,7,4,6,3,5]=>30
[1,2,7,4,6,5,3]=>34
[1,2,7,5,3,4,6]=>26
[1,2,7,5,3,6,4]=>30
[1,2,7,5,4,3,6]=>28
[1,2,7,5,4,6,3]=>34
[1,2,7,5,6,3,4]=>36
[1,2,7,5,6,4,3]=>38
[1,2,7,6,3,4,5]=>32
[1,2,7,6,3,5,4]=>34
[1,2,7,6,4,3,5]=>34
[1,2,7,6,4,5,3]=>38
[1,2,7,6,5,3,4]=>38
[1,2,7,6,5,4,3]=>40
[1,3,2,4,5,6,7]=>2
[1,3,2,4,5,7,6]=>4
[1,3,2,4,6,5,7]=>4
[1,3,2,4,6,7,5]=>8
[1,3,2,4,7,5,6]=>8
[1,3,2,4,7,6,5]=>10
[1,3,2,5,4,6,7]=>4
[1,3,2,5,4,7,6]=>6
[1,3,2,5,6,4,7]=>8
[1,3,2,5,6,7,4]=>14
[1,3,2,5,7,4,6]=>12
[1,3,2,5,7,6,4]=>16
[1,3,2,6,4,5,7]=>8
[1,3,2,6,4,7,5]=>12
[1,3,2,6,5,4,7]=>10
[1,3,2,6,5,7,4]=>16
[1,3,2,6,7,4,5]=>18
[1,3,2,6,7,5,4]=>20
[1,3,2,7,4,5,6]=>14
[1,3,2,7,4,6,5]=>16
[1,3,2,7,5,4,6]=>16
[1,3,2,7,5,6,4]=>20
[1,3,2,7,6,4,5]=>20
[1,3,2,7,6,5,4]=>22
[1,3,4,2,5,6,7]=>6
[1,3,4,2,5,7,6]=>8
[1,3,4,2,6,5,7]=>8
[1,3,4,2,6,7,5]=>12
[1,3,4,2,7,5,6]=>12
[1,3,4,2,7,6,5]=>14
[1,3,4,5,2,6,7]=>12
[1,3,4,5,2,7,6]=>14
[1,3,4,5,6,2,7]=>20
[1,3,4,5,6,7,2]=>30
[1,3,4,5,7,2,6]=>24
[1,3,4,5,7,6,2]=>32
[1,3,4,6,2,5,7]=>16
[1,3,4,6,2,7,5]=>20
[1,3,4,6,5,2,7]=>22
[1,3,4,6,5,7,2]=>32
[1,3,4,6,7,2,5]=>30
[1,3,4,6,7,5,2]=>36
[1,3,4,7,2,5,6]=>22
[1,3,4,7,2,6,5]=>24
[1,3,4,7,5,2,6]=>28
[1,3,4,7,5,6,2]=>36
[1,3,4,7,6,2,5]=>32
[1,3,4,7,6,5,2]=>38
[1,3,5,2,4,6,7]=>10
[1,3,5,2,4,7,6]=>12
[1,3,5,2,6,4,7]=>14
[1,3,5,2,6,7,4]=>20
[1,3,5,2,7,4,6]=>18
[1,3,5,2,7,6,4]=>22
[1,3,5,4,2,6,7]=>14
[1,3,5,4,2,7,6]=>16
[1,3,5,4,6,2,7]=>22
[1,3,5,4,6,7,2]=>32
[1,3,5,4,7,2,6]=>26
[1,3,5,4,7,6,2]=>34
[1,3,5,6,2,4,7]=>22
[1,3,5,6,2,7,4]=>28
[1,3,5,6,4,2,7]=>26
[1,3,5,6,4,7,2]=>36
[1,3,5,6,7,2,4]=>38
[1,3,5,6,7,4,2]=>42
[1,3,5,7,2,4,6]=>28
[1,3,5,7,2,6,4]=>32
[1,3,5,7,4,2,6]=>32
[1,3,5,7,4,6,2]=>40
[1,3,5,7,6,2,4]=>40
[1,3,5,7,6,4,2]=>44
[1,3,6,2,4,5,7]=>16
[1,3,6,2,4,7,5]=>20
[1,3,6,2,5,4,7]=>18
[1,3,6,2,5,7,4]=>24
[1,3,6,2,7,4,5]=>26
[1,3,6,2,7,5,4]=>28
[1,3,6,4,2,5,7]=>20
[1,3,6,4,2,7,5]=>24
[1,3,6,4,5,2,7]=>26
[1,3,6,4,5,7,2]=>36
[1,3,6,4,7,2,5]=>34
[1,3,6,4,7,5,2]=>40
[1,3,6,5,2,4,7]=>24
[1,3,6,5,2,7,4]=>30
[1,3,6,5,4,2,7]=>28
[1,3,6,5,4,7,2]=>38
[1,3,6,5,7,2,4]=>40
[1,3,6,5,7,4,2]=>44
[1,3,6,7,2,4,5]=>36
[1,3,6,7,2,5,4]=>38
[1,3,6,7,4,2,5]=>40
[1,3,6,7,4,5,2]=>46
[1,3,6,7,5,2,4]=>44
[1,3,6,7,5,4,2]=>48
[1,3,7,2,4,5,6]=>24
[1,3,7,2,4,6,5]=>26
[1,3,7,2,5,4,6]=>26
[1,3,7,2,5,6,4]=>30
[1,3,7,2,6,4,5]=>30
[1,3,7,2,6,5,4]=>32
[1,3,7,4,2,5,6]=>28
[1,3,7,4,2,6,5]=>30
[1,3,7,4,5,2,6]=>34
[1,3,7,4,5,6,2]=>42
[1,3,7,4,6,2,5]=>38
[1,3,7,4,6,5,2]=>44
[1,3,7,5,2,4,6]=>32
[1,3,7,5,2,6,4]=>36
[1,3,7,5,4,2,6]=>36
[1,3,7,5,4,6,2]=>44
[1,3,7,5,6,2,4]=>44
[1,3,7,5,6,4,2]=>48
[1,3,7,6,2,4,5]=>38
[1,3,7,6,2,5,4]=>40
[1,3,7,6,4,2,5]=>42
[1,3,7,6,4,5,2]=>48
[1,3,7,6,5,2,4]=>46
[1,3,7,6,5,4,2]=>50
[1,4,2,3,5,6,7]=>6
[1,4,2,3,5,7,6]=>8
[1,4,2,3,6,5,7]=>8
[1,4,2,3,6,7,5]=>12
[1,4,2,3,7,5,6]=>12
[1,4,2,3,7,6,5]=>14
[1,4,2,5,3,6,7]=>10
[1,4,2,5,3,7,6]=>12
[1,4,2,5,6,3,7]=>16
[1,4,2,5,6,7,3]=>24
[1,4,2,5,7,3,6]=>20
[1,4,2,5,7,6,3]=>26
[1,4,2,6,3,5,7]=>14
[1,4,2,6,3,7,5]=>18
[1,4,2,6,5,3,7]=>18
[1,4,2,6,5,7,3]=>26
[1,4,2,6,7,3,5]=>26
[1,4,2,6,7,5,3]=>30
[1,4,2,7,3,5,6]=>20
[1,4,2,7,3,6,5]=>22
[1,4,2,7,5,3,6]=>24
[1,4,2,7,5,6,3]=>30
[1,4,2,7,6,3,5]=>28
[1,4,2,7,6,5,3]=>32
[1,4,3,2,5,6,7]=>8
[1,4,3,2,5,7,6]=>10
[1,4,3,2,6,5,7]=>10
[1,4,3,2,6,7,5]=>14
[1,4,3,2,7,5,6]=>14
[1,4,3,2,7,6,5]=>16
[1,4,3,5,2,6,7]=>14
[1,4,3,5,2,7,6]=>16
[1,4,3,5,6,2,7]=>22
[1,4,3,5,6,7,2]=>32
[1,4,3,5,7,2,6]=>26
[1,4,3,5,7,6,2]=>34
[1,4,3,6,2,5,7]=>18
[1,4,3,6,2,7,5]=>22
[1,4,3,6,5,2,7]=>24
[1,4,3,6,5,7,2]=>34
[1,4,3,6,7,2,5]=>32
[1,4,3,6,7,5,2]=>38
[1,4,3,7,2,5,6]=>24
[1,4,3,7,2,6,5]=>26
[1,4,3,7,5,2,6]=>30
[1,4,3,7,5,6,2]=>38
[1,4,3,7,6,2,5]=>34
[1,4,3,7,6,5,2]=>40
[1,4,5,2,3,6,7]=>16
[1,4,5,2,3,7,6]=>18
[1,4,5,2,6,3,7]=>22
[1,4,5,2,6,7,3]=>30
[1,4,5,2,7,3,6]=>26
[1,4,5,2,7,6,3]=>32
[1,4,5,3,2,6,7]=>18
[1,4,5,3,2,7,6]=>20
[1,4,5,3,6,2,7]=>26
[1,4,5,3,6,7,2]=>36
[1,4,5,3,7,2,6]=>30
[1,4,5,3,7,6,2]=>38
[1,4,5,6,2,3,7]=>30
[1,4,5,6,2,7,3]=>38
[1,4,5,6,3,2,7]=>32
[1,4,5,6,3,7,2]=>42
[1,4,5,6,7,2,3]=>48
[1,4,5,6,7,3,2]=>50
[1,4,5,7,2,3,6]=>36
[1,4,5,7,2,6,3]=>42
[1,4,5,7,3,2,6]=>38
[1,4,5,7,3,6,2]=>46
[1,4,5,7,6,2,3]=>50
[1,4,5,7,6,3,2]=>52
[1,4,6,2,3,5,7]=>22
[1,4,6,2,3,7,5]=>26
[1,4,6,2,5,3,7]=>26
[1,4,6,2,5,7,3]=>34
[1,4,6,2,7,3,5]=>34
[1,4,6,2,7,5,3]=>38
[1,4,6,3,2,5,7]=>24
[1,4,6,3,2,7,5]=>28
[1,4,6,3,5,2,7]=>30
[1,4,6,3,5,7,2]=>40
[1,4,6,3,7,2,5]=>38
[1,4,6,3,7,5,2]=>44
[1,4,6,5,2,3,7]=>32
[1,4,6,5,2,7,3]=>40
[1,4,6,5,3,2,7]=>34
[1,4,6,5,3,7,2]=>44
[1,4,6,7,2,3,5]=>44
[1,4,6,7,5,3,2]=>56
[1,4,7,2,3,5,6]=>30
[1,4,7,6,5,3,2]=>58
[1,5,2,3,4,7,6]=>14
[1,5,2,7,3,4,6]=>28
[1,5,4,7,6,3,2]=>54
[1,5,6,2,7,3,4]=>44
[1,5,6,4,7,3,2]=>56
[1,5,6,7,2,3,4]=>54
[1,5,6,7,4,3,2]=>62
[1,5,7,2,3,4,6]=>38
[1,5,7,6,4,3,2]=>64
[1,6,2,3,4,7,5]=>24
[1,6,2,3,7,4,5]=>30
[1,6,2,7,3,4,5]=>38
[1,6,5,4,3,7,2]=>50
[1,6,5,4,7,3,2]=>58
[1,6,5,7,4,3,2]=>64
[1,6,7,2,3,4,5]=>48
[1,6,7,5,4,3,2]=>68
[1,7,2,3,4,5,6]=>30
[1,7,3,5,6,4,2]=>56
[1,7,3,6,5,4,2]=>58
[1,7,4,3,6,5,2]=>54
[1,7,4,5,3,6,2]=>56
[1,7,4,5,6,3,2]=>62
[1,7,4,6,5,3,2]=>64
[1,7,5,4,3,6,2]=>58
[1,7,5,4,6,3,2]=>64
[1,7,6,4,5,3,2]=>68
[1,7,6,5,4,3,2]=>70
[2,1,3,4,5,6,7]=>2
[2,1,3,4,7,5,6]=>8
[2,1,3,7,4,5,6]=>14
[2,1,6,3,4,5,7]=>14
[2,1,7,3,4,5,6]=>22
[2,1,7,6,5,4,3]=>42
[2,3,1,4,5,6,7]=>6
[2,3,4,1,5,6,7]=>12
[2,3,4,1,5,7,6]=>14
[2,3,4,5,1,6,7]=>20
[2,3,4,5,1,7,6]=>22
[2,3,4,5,6,1,7]=>30
[2,3,4,5,6,7,1]=>42
[2,3,4,5,7,1,6]=>34
[2,3,4,6,1,7,5]=>28
[2,3,4,6,7,1,5]=>40
[2,3,4,7,1,5,6]=>30
[2,3,5,6,7,1,4]=>48
[2,4,1,3,5,6,7]=>10
[2,5,1,3,4,6,7]=>16
[2,5,7,1,3,4,6]=>44
[2,6,1,3,4,5,7]=>24
[2,6,1,7,3,4,5]=>42
[2,6,5,4,3,1,7]=>50
[2,6,7,1,3,4,5]=>54
[2,7,1,3,4,5,6]=>34
[3,1,2,4,5,6,7]=>6
[3,1,2,4,5,7,6]=>8
[3,2,1,4,5,6,7]=>8
[3,2,4,5,6,7,1]=>44
[3,4,1,2,5,6,7]=>16
[3,4,2,5,6,7,1]=>48
[3,4,5,2,6,7,1]=>54
[3,4,5,6,2,7,1]=>62
[3,4,5,6,7,1,2]=>70
[3,5,6,1,2,4,7]=>44
[3,5,6,4,2,1,7]=>56
[3,6,1,2,4,5,7]=>30
[3,6,5,4,2,1,7]=>58
[4,1,2,3,5,6,7]=>12
[4,1,2,3,5,7,6]=>14
[4,1,6,2,3,5,7]=>28
[4,2,3,5,6,7,1]=>48
[4,2,5,1,3,6,7]=>26
[4,3,2,1,5,6,7]=>20
[4,3,2,5,6,7,1]=>50
[4,3,5,2,6,7,1]=>56
[4,3,6,5,2,1,7]=>54
[4,5,1,6,2,3,7]=>44
[4,5,2,3,6,7,1]=>58
[4,5,3,6,2,1,7]=>56
[4,5,6,1,2,3,7]=>54
[4,5,6,3,2,1,7]=>62
[4,6,1,2,3,5,7]=>38
[4,6,1,2,3,7,5]=>42
[4,6,5,3,2,1,7]=>64
[5,1,2,3,4,6,7]=>20
[5,1,2,3,4,7,6]=>22
[5,1,2,3,6,4,7]=>24
[5,1,2,3,6,7,4]=>30
[5,1,2,3,7,4,6]=>28
[5,1,2,6,3,4,7]=>30
[5,1,6,2,3,4,7]=>38
[5,1,6,2,3,7,4]=>44
[5,2,3,4,6,7,1]=>54
[5,2,6,7,1,3,4]=>68
[5,3,2,4,6,7,1]=>56
[5,3,2,6,1,4,7]=>42
[5,4,3,2,1,6,7]=>40
[5,4,3,2,1,7,6]=>42
[5,4,3,2,6,1,7]=>50
[5,4,3,6,2,1,7]=>58
[5,4,6,3,2,1,7]=>64
[5,6,1,2,3,4,7]=>48
[5,6,1,2,3,7,4]=>54
[5,6,3,4,1,2,7]=>64
[5,6,4,3,2,1,7]=>68
[5,6,7,1,2,3,4]=>84
[6,1,2,3,4,5,7]=>30
[6,1,2,3,4,7,5]=>34
[6,1,2,3,7,4,5]=>40
[6,1,2,7,3,4,5]=>48
[6,2,3,4,5,7,1]=>62
[6,2,4,5,3,1,7]=>56
[6,2,5,4,3,1,7]=>58
[6,3,2,5,4,1,7]=>54
[6,3,4,2,5,1,7]=>56
[6,3,4,5,2,1,7]=>62
[6,3,5,4,2,1,7]=>64
[6,4,3,2,5,1,7]=>58
[6,4,3,2,7,1,5]=>66
[6,4,3,5,2,1,7]=>64
[6,4,7,2,5,1,3]=>90
[6,5,3,4,2,1,7]=>68
[6,5,4,3,2,1,7]=>70
[6,7,1,2,3,4,5]=>70
[6,7,4,5,1,2,3]=>100
[7,1,2,3,4,5,6]=>42
[7,2,1,3,4,5,6]=>44
[7,2,3,1,4,5,6]=>48
[7,2,3,4,1,5,6]=>54
[7,2,3,4,5,1,6]=>62
[7,3,1,2,4,5,6]=>48
[7,3,2,1,4,5,6]=>50
[7,3,2,4,1,5,6]=>56
[7,3,4,1,2,5,6]=>58
[7,4,1,2,3,5,6]=>54
[7,4,2,1,3,5,6]=>56
[7,4,5,6,1,2,3]=>96
[7,5,1,2,3,4,6]=>62
[7,5,6,1,2,3,4]=>90
[7,5,6,3,4,1,2]=>106
[7,6,1,2,3,4,5]=>72
[7,6,4,5,1,2,3]=>102
[7,6,5,1,2,3,4]=>92
[7,6,5,3,4,1,2]=>108
[7,6,5,4,1,2,3]=>104
[7,6,5,4,3,1,2]=>110
[7,6,5,4,3,2,1]=>112
[8,7,6,5,4,3,2,1]=>168
[7,6,8,5,4,3,2,1]=>162
[7,8,5,6,4,3,2,1]=>164
[7,8,6,4,5,3,2,1]=>164
[8,6,7,4,5,3,2,1]=>164
[7,6,5,4,8,3,2,1]=>148
[6,5,7,4,8,3,2,1]=>142
[7,8,6,5,3,4,2,1]=>164
[8,6,7,5,3,4,2,1]=>164
[8,7,5,6,3,4,2,1]=>164
[6,7,8,3,4,5,2,1]=>152
[7,8,6,5,4,2,3,1]=>164
[8,6,7,5,4,2,3,1]=>164
[8,7,5,6,4,2,3,1]=>164
[8,7,6,4,5,2,3,1]=>164
[8,6,5,7,3,2,4,1]=>156
[6,7,8,5,2,3,4,1]=>152
[8,5,6,7,2,3,4,1]=>152
[7,8,3,2,4,5,6,1]=>128
[7,6,5,4,3,2,8,1]=>126
[6,5,7,4,3,2,8,1]=>120
[6,5,4,3,7,2,8,1]=>106
[5,4,6,3,7,2,8,1]=>100
[3,4,5,2,6,7,8,1]=>68
[5,2,3,4,6,7,8,1]=>68
[4,3,2,5,6,7,8,1]=>64
[3,4,2,5,6,7,8,1]=>62
[4,2,3,5,6,7,8,1]=>62
[3,2,4,5,6,7,8,1]=>58
[2,3,4,5,6,7,8,1]=>56
[8,7,6,5,4,3,1,2]=>166
[7,8,6,5,4,3,1,2]=>164
[8,6,7,5,4,3,1,2]=>164
[8,7,5,6,4,3,1,2]=>164
[8,7,6,4,5,3,1,2]=>164
[8,7,6,5,3,4,1,2]=>164
[8,7,5,6,3,4,1,2]=>162
[7,8,5,6,3,4,1,2]=>160
[5,6,7,8,3,4,1,2]=>144
[7,8,3,4,5,6,1,2]=>144
[3,4,5,6,7,8,1,2]=>96
[8,7,6,5,4,2,1,3]=>162
[7,6,8,5,4,2,1,3]=>156
[8,7,6,5,4,1,2,3]=>160
[6,7,8,5,4,1,2,3]=>152
[8,5,6,7,4,1,2,3]=>152
[8,7,6,4,5,1,2,3]=>158
[8,6,7,4,5,1,2,3]=>156
[8,7,4,5,6,1,2,3]=>152
[7,8,4,5,6,1,2,3]=>150
[7,6,5,8,3,2,1,4]=>144
[7,5,6,8,2,3,1,4]=>140
[6,7,5,8,3,1,2,4]=>140
[6,5,7,8,2,1,3,4]=>132
[8,7,6,5,1,2,3,4]=>148
[8,7,5,6,1,2,3,4]=>146
[7,8,5,6,1,2,3,4]=>144
[8,5,6,7,1,2,3,4]=>140
[5,6,7,8,1,2,3,4]=>128
[8,7,6,4,3,2,1,5]=>148
[8,7,6,4,2,1,3,5]=>142
[8,7,6,1,2,3,4,5]=>128
[8,6,7,1,2,3,4,5]=>126
[6,7,8,1,2,3,4,5]=>120
[7,8,5,4,2,1,3,6]=>130
[7,8,5,4,1,2,3,6]=>128
[8,7,1,2,3,4,5,6]=>98
[7,8,1,2,3,4,5,6]=>96
[8,6,5,4,3,2,1,7]=>126
[8,6,5,4,3,1,2,7]=>124
[8,5,6,3,4,1,2,7]=>120
[8,6,5,4,2,1,3,7]=>120
[8,6,4,3,2,1,5,7]=>106
[8,6,4,2,1,3,5,7]=>100
[8,2,3,4,1,5,6,7]=>68
[8,4,1,2,3,5,6,7]=>68
[8,3,2,1,4,5,6,7]=>64
[8,2,3,1,4,5,6,7]=>62
[8,3,1,2,4,5,6,7]=>62
[8,2,1,3,4,5,6,7]=>58
[8,1,2,3,4,5,6,7]=>56
[7,6,5,4,3,2,1,8]=>112
[6,7,5,4,3,2,1,8]=>110
[6,5,7,4,3,2,1,8]=>106
[5,6,7,4,3,2,1,8]=>104
[7,6,4,5,3,2,1,8]=>110
[6,5,4,7,3,2,1,8]=>100
[7,5,6,3,4,2,1,8]=>108
[7,6,4,3,5,2,1,8]=>106
[7,6,3,4,5,2,1,8]=>104
[7,5,4,3,6,2,1,8]=>100
[6,7,5,4,2,3,1,8]=>108
[6,5,7,3,2,4,1,8]=>100
[5,6,7,2,3,4,1,8]=>96
[2,3,4,5,6,7,1,8]=>42
[5,6,7,1,2,3,4,8]=>84
[6,7,1,2,3,4,5,8]=>70
[7,1,2,3,4,5,6,8]=>42
[6,5,4,3,2,1,7,8]=>70
[2,3,4,5,6,1,7,8]=>30
[5,6,3,4,1,2,7,8]=>64
[4,5,6,1,2,3,7,8]=>54
[6,1,2,3,4,5,7,8]=>30
[5,4,3,2,1,6,7,8]=>40
[2,3,4,5,1,6,7,8]=>20
[5,1,2,3,4,6,7,8]=>20
[4,3,2,1,5,6,7,8]=>20
[3,4,1,2,5,6,7,8]=>16
[3,2,1,4,5,6,7,8]=>8
[2,1,3,4,5,6,7,8]=>2
[1,2,3,4,5,6,7,8]=>0
[6,5,8,7,4,3,2,1]=>152
[3,5,8,7,6,4,2,1]=>126
[4,3,6,5,8,7,2,1]=>104
[2,6,8,7,5,4,3,1]=>120
[2,3,5,6,8,7,4,1]=>78
[3,2,6,5,4,8,7,1]=>68
[4,3,6,5,7,2,8,1]=>90
[3,2,6,5,7,4,8,1]=>72
[4,3,5,2,7,6,8,1]=>72
[3,2,5,4,7,6,8,1]=>62
[1,8,7,6,5,4,3,2]=>112
[1,7,8,6,5,4,3,2]=>110
[1,6,8,7,5,4,3,2]=>106
[1,7,6,8,5,4,3,2]=>106
[1,6,7,8,5,4,3,2]=>104
[1,5,8,7,6,4,3,2]=>100
[1,7,6,5,8,4,3,2]=>100
[1,3,5,7,8,6,4,2]=>68
[1,4,3,8,7,6,5,2]=>64
[1,6,5,4,3,8,7,2]=>64
[1,4,3,6,5,8,7,2]=>48
[2,1,8,7,6,5,4,3]=>72
[2,1,6,5,7,4,8,3]=>46
[2,1,5,4,7,6,8,3]=>36
[1,2,6,7,8,5,4,3]=>62
[3,2,1,8,7,6,5,4]=>48
[3,2,1,6,5,8,7,4]=>32
[1,2,3,5,6,7,8,4]=>20
[4,3,2,1,8,7,6,5]=>40
[3,4,2,1,7,8,6,5]=>36
[2,4,3,1,6,8,7,5]=>28
[2,4,3,1,7,6,8,5]=>28
[3,2,4,1,6,8,7,5]=>28
[3,2,4,1,7,6,8,5]=>28
[2,3,4,1,6,7,8,5]=>24
[2,1,4,3,8,7,6,5]=>24
[2,1,4,3,6,8,7,5]=>18
[2,1,4,3,7,6,8,5]=>18
[5,4,3,2,1,8,7,6]=>48
[3,2,5,4,1,8,7,6]=>32
[3,2,1,4,5,8,7,6]=>16
[2,3,1,4,5,7,8,6]=>12
[6,5,4,3,2,1,8,7]=>72
[4,3,5,2,6,1,8,7]=>46
[3,2,5,4,6,1,8,7]=>36
[2,3,4,5,6,1,8,7]=>32
[2,1,6,5,4,3,8,7]=>24
[2,1,4,6,5,3,8,7]=>18
[2,1,5,4,6,3,8,7]=>18
[4,3,2,1,6,5,8,7]=>24
[2,4,3,1,6,5,8,7]=>18
[3,2,4,1,6,5,8,7]=>18
[2,1,4,3,6,5,8,7]=>8
[2,1,3,4,5,6,8,7]=>4
[1,2,3,4,5,6,8,7]=>2
[5,7,6,4,3,2,1,8]=>106
[4,7,6,5,3,2,1,8]=>100
[3,2,7,6,5,4,1,8]=>64
[5,4,3,2,7,6,1,8]=>64
[3,2,5,4,7,6,1,8]=>48
[1,4,3,2,7,6,5,8]=>16
[1,3,4,2,6,7,5,8]=>12
[1,3,2,5,4,7,6,8]=>6
[1,2,3,5,4,7,6,8]=>4
[1,3,2,4,5,7,6,8]=>4
[1,2,3,4,5,7,6,8]=>2
[1,2,4,3,6,5,7,8]=>4
[1,3,2,5,4,6,7,8]=>4
[1,2,3,5,4,6,7,8]=>2
[1,3,2,4,5,6,7,8]=>2
[1,8,4,7,6,5,3,2]=>100
[1,8,5,4,7,6,3,2]=>96
[1,8,7,4,5,6,3,2]=>104
[1,8,7,4,6,5,3,2]=>106
[1,8,6,5,4,7,3,2]=>100
[1,8,7,5,4,6,3,2]=>106
[1,8,7,5,6,4,3,2]=>110
[2,1,4,5,8,6,7,3]=>38
[2,1,8,5,4,7,6,3]=>56
[2,3,4,8,5,6,7,1]=>68
[2,3,6,4,5,1,8,7]=>38
[2,3,7,4,5,6,8,1]=>68
[2,8,4,3,5,7,6,1]=>90
[4,2,3,1,8,6,7,5]=>36
[8,2,7,4,6,5,3,1]=>132
[4,3,2,7,5,6,8,1]=>70
[4,3,2,8,5,7,6,1]=>78
[6,3,2,5,4,1,8,7]=>56
[8,3,2,5,4,7,6,1]=>104
[8,3,2,7,6,5,4,1]=>120
[8,3,7,4,6,5,2,1]=>142
[7,3,6,5,4,2,1,8]=>100
[7,4,3,6,5,2,1,8]=>96
[7,6,3,5,4,2,1,8]=>106
[8,5,4,3,2,7,6,1]=>120
[8,7,4,3,6,5,2,1]=>152
[2,4,6,8,1,3,5,7]=>60
[2,4,6,1,7,3,8,5]=>46
[2,1,4,3,7,5,8,6]=>14
[2,4,1,3,7,5,8,6]=>20
[2,1,4,3,7,8,5,6]=>20
[2,4,7,8,1,3,5,6]=>70
[2,1,4,3,8,5,6,7]=>16
[2,4,5,6,7,1,8,3]=>68
[2,1,5,3,6,4,8,7]=>14
[2,1,5,6,3,4,8,7]=>20
[2,5,6,8,1,3,4,7]=>70
[2,1,5,3,7,4,8,6]=>20
[2,5,1,7,3,4,8,6]=>36
[2,1,5,7,3,8,4,6]=>36
[2,5,7,8,1,3,4,6]=>80
[2,3,5,6,1,7,8,4]=>44
[2,1,6,3,7,4,8,5]=>30
[2,6,7,1,3,4,8,5]=>60
[2,1,6,7,8,3,4,5]=>56
[2,6,7,8,1,3,4,5]=>92
[2,1,6,3,4,7,8,5]=>24
[2,1,6,3,4,5,8,7]=>16
[2,6,1,3,4,5,7,8]=>24
[2,7,8,1,3,4,5,6]=>76
[2,7,1,3,4,5,6,8]=>34
[2,3,4,5,7,8,1,6]=>52
[2,1,8,3,4,5,6,7]=>32
[2,8,1,3,4,5,6,7]=>46
[2,1,3,8,4,5,6,7]=>22
[2,3,4,5,6,8,1,7]=>46
[3,1,4,2,6,5,8,7]=>14
[3,4,1,2,6,5,8,7]=>20
[3,1,4,2,6,8,5,7]=>20
[3,4,6,8,1,2,5,7]=>70
[3,1,4,2,7,5,8,6]=>20
[3,4,1,2,7,8,5,6]=>32
[3,4,7,8,1,2,5,6]=>80
[3,1,5,2,6,4,8,7]=>20
[3,5,1,6,2,4,8,7]=>36
[3,1,5,6,2,8,4,7]=>36
[3,5,6,8,1,2,4,7]=>80
[3,1,5,2,7,4,8,6]=>26
[3,5,1,7,2,8,4,6]=>52
[3,5,7,8,1,2,4,6]=>90
[1,3,2,5,4,8,6,7]=>10
[1,3,5,8,2,4,6,7]=>36
[1,3,5,6,2,7,4,8]=>28
[3,1,6,2,7,4,8,5]=>36
[3,6,7,1,2,8,4,5]=>76
[3,6,1,7,8,2,4,5]=>76
[3,6,7,8,1,2,4,5]=>102
[1,3,2,6,4,7,5,8]=>12
[3,1,2,6,7,4,8,5]=>28
[1,3,2,6,4,8,5,7]=>16
[1,3,2,6,4,5,7,8]=>8
[1,3,2,7,4,8,5,6]=>24
[1,3,2,7,4,5,6,8]=>14
[1,3,2,8,4,5,6,7]=>22
[3,1,2,4,5,8,6,7]=>12
[1,3,2,4,5,8,6,7]=>8
[4,1,5,2,6,3,8,7]=>30
[4,5,6,1,2,3,8,7]=>56
[4,1,5,6,8,2,3,7]=>60
[4,5,6,8,1,2,3,7]=>92
[4,1,5,2,7,3,8,6]=>36
[4,1,5,2,7,8,3,6]=>46
[4,5,7,1,2,8,3,6]=>76
[4,5,1,7,8,2,3,6]=>76
[4,5,7,8,1,2,3,6]=>102
[1,4,2,5,3,7,6,8]=>12
[1,4,2,5,3,8,6,7]=>16
[1,4,2,5,3,6,7,8]=>10
[1,4,5,6,7,2,3,8]=>48
[4,1,6,2,7,3,8,5]=>46
[4,6,7,1,8,2,3,5]=>100
[4,6,7,8,1,2,3,5]=>114
[1,4,2,6,3,7,5,8]=>18
[1,4,2,6,7,8,3,5]=>42
[1,4,2,6,3,8,5,7]=>22
[4,1,2,3,6,5,8,7]=>16
[1,4,2,6,3,5,7,8]=>14
[1,4,2,7,3,8,5,6]=>30
[4,7,1,2,3,5,6,8]=>48
[1,4,2,7,3,5,6,8]=>20
[1,4,2,3,7,5,6,8]=>12
[1,4,2,3,5,7,6,8]=>8
[1,4,2,8,3,5,6,7]=>28
[4,1,2,3,8,5,6,7]=>24
[1,4,2,3,5,8,6,7]=>12
[1,4,2,3,5,6,7,8]=>6
[5,1,6,2,7,3,8,4]=>60
[1,5,2,6,3,7,4,8]=>28
[1,5,2,6,3,8,4,7]=>32
[1,5,2,6,3,4,7,8]=>22
[1,2,5,6,3,4,7,8]=>16
[1,5,2,7,3,8,4,6]=>40
[5,7,1,2,3,4,6,8]=>58
[1,5,2,7,3,4,6,8]=>28
[1,5,2,3,4,7,6,8]=>14
[5,1,2,8,3,4,6,7]=>44
[1,5,2,8,3,4,6,7]=>36
[1,5,8,2,3,4,6,7]=>48
[1,5,2,3,4,8,6,7]=>18
[1,2,3,5,4,8,6,7]=>8
[5,1,2,3,4,6,8,7]=>22
[1,5,2,3,4,6,7,8]=>12
[1,6,2,7,3,8,4,5]=>52
[1,6,7,8,2,3,4,5]=>84
[6,7,1,2,3,4,8,5]=>76
[6,1,7,2,3,4,5,8]=>58
[6,1,2,7,3,4,5,8]=>48
[1,6,2,7,3,4,5,8]=>38
[1,6,7,2,3,4,5,8]=>48
[1,6,2,3,4,7,5,8]=>24
[1,2,3,6,4,7,5,8]=>10
[6,1,8,2,3,4,5,7]=>68
[1,6,2,8,3,4,5,7]=>46
[1,6,8,2,3,4,5,7]=>58
[1,6,2,3,4,8,5,7]=>28
[1,2,3,6,4,8,5,7]=>14
[6,1,2,3,4,5,8,7]=>32
[1,6,2,3,4,5,7,8]=>20
[1,2,3,6,4,5,7,8]=>6
[1,7,2,8,3,4,5,6]=>58
[1,7,8,2,3,4,5,6]=>70
[1,7,2,3,8,4,5,6]=>48
[7,1,2,3,4,8,5,6]=>52
[1,7,2,3,4,8,5,6]=>40
[1,2,3,7,4,8,5,6]=>22
[7,1,2,3,4,5,8,6]=>46
[1,7,2,3,4,5,8,6]=>34
[1,2,7,3,4,5,8,6]=>24
[1,7,2,3,4,5,6,8]=>30
[1,2,3,7,4,5,6,8]=>12
[1,8,2,3,4,5,6,7]=>42
[1,2,3,8,4,5,6,7]=>20
[1,2,3,4,5,8,6,7]=>6
[5,3,2,6,1,4,8,7]=>44
[7,3,2,5,4,8,1,6]=>84
[8,4,5,2,3,7,6,1]=>116
[7,4,5,2,3,8,1,6]=>96
[6,4,5,2,3,1,8,7]=>68
[5,4,6,2,1,3,8,7]=>60
[3,6,1,5,4,2,8,7]=>44
[4,6,5,1,3,2,8,7]=>60
[5,6,4,3,1,2,8,7]=>68
[7,5,4,3,2,8,1,6]=>100
[8,6,4,3,7,2,5,1]=>140
[7,6,4,3,8,2,1,5]=>124
[6,7,4,3,8,1,2,5]=>120
[5,7,4,3,1,8,2,6]=>92
[4,7,5,1,3,8,2,6]=>84
[3,7,1,5,4,8,2,6]=>68
[2,1,7,5,4,8,3,6]=>44
[3,8,1,5,4,7,6,2]=>84
[4,8,5,1,3,7,6,2]=>100
[5,8,4,3,1,7,6,2]=>108
[6,8,4,3,7,1,5,2]=>132
[7,8,4,3,6,5,1,2]=>148
[6,8,5,7,3,1,4,2]=>148
[5,8,6,7,1,3,4,2]=>140
[4,8,6,1,7,3,5,2]=>116
[3,8,1,6,7,4,5,2]=>96
[2,1,8,6,7,4,5,3]=>68
[2,1,7,6,8,4,3,5]=>60
[3,7,1,6,8,4,2,5]=>84
[4,7,6,1,8,3,2,5]=>104
[5,7,6,8,1,3,2,4]=>132
[5,4,7,2,1,8,3,6]=>80
[6,4,7,2,8,1,3,5]=>108
[7,4,6,2,8,3,1,5]=>116
[8,4,6,2,7,3,5,1]=>132
[8,3,2,6,7,4,5,1]=>116
[7,3,2,6,8,4,1,5]=>100
[6,3,2,7,8,1,4,5]=>88
[5,3,2,7,1,8,4,6]=>60
[4,3,2,1,7,8,5,6]=>36
[3,4,1,2,8,7,6,5]=>36
[5,3,2,8,1,7,6,4]=>68
[6,3,2,8,7,1,5,4]=>92
[7,3,2,8,6,5,1,4]=>108
[8,4,7,2,6,5,3,1]=>140
[7,4,8,2,6,5,1,3]=>132
[6,4,8,2,7,1,5,3]=>116
[5,4,8,2,1,7,6,3]=>92
[4,5,8,1,2,7,6,3]=>88
[3,5,1,8,2,7,6,4]=>60
[2,1,5,8,3,7,6,4]=>44
[2,1,6,8,7,3,5,4]=>60
[3,6,1,8,7,2,5,4]=>80
[4,6,8,1,7,2,5,3]=>108
[5,6,8,7,1,2,4,3]=>132
[6,5,8,7,2,1,4,3]=>136
[7,5,8,6,2,4,1,3]=>148
[8,5,7,6,2,4,3,1]=>156
[5,7,8,6,1,4,2,3]=>140
[4,7,8,1,6,5,2,3]=>120
[3,7,1,8,6,5,2,4]=>92
[2,1,7,8,6,5,3,4]=>68
[3,8,1,7,6,5,4,2]=>100
[4,8,7,1,6,5,3,2]=>124
[5,8,7,6,1,4,3,2]=>144
[6,8,7,5,4,1,3,2]=>156
[4,2,5,1,3,6,7,8]=>26
[5,2,6,7,1,3,4,8]=>68
[3,2,7,8,1,4,5,6]=>64
[5,3,2,6,1,4,7,8]=>42
[7,4,3,8,1,2,5,6]=>96
[4,7,3,6,8,1,2,5]=>106
[6,7,3,4,8,1,2,5]=>118
[5,4,2,7,8,1,3,6]=>84
[6,4,7,2,5,1,3,8]=>90
[6,4,3,2,7,1,5,8]=>66
[5,4,3,2,8,1,6,7]=>60
[7,5,3,8,2,6,1,4]=>122
[8,5,4,7,2,6,1,3]=>138
[8,5,4,7,3,6,1,2]=>144
[8,1,2,7,6,3,4,5]=>88
[8,1,4,2,6,3,5,7]=>70
[8,3,1,2,4,7,5,6]=>68
[8,3,1,5,6,2,4,7]=>82
[6,3,8,1,2,7,4,5]=>88
[7,8,4,1,6,2,3,5]=>124
[8,3,4,1,6,7,2,5]=>96
[2,7,6,5,1,3,8,4]=>78
[8,3,6,5,1,7,2,4]=>118
[4,6,7,3,8,5,1,2]=>124
[3,5,2,7,1,8,6,4]=>60
[4,6,7,2,8,1,5,3]=>108
[5,6,7,8,2,1,4,3]=>132
[6,5,8,7,3,4,1,2]=>148
[3,6,7,4,5,8,1,2]=>112
[2,6,7,4,5,1,8,3]=>84
[1,6,7,4,5,2,3,8]=>64
[1,5,4,7,6,2,3,8]=>52
[2,5,4,7,6,1,8,3]=>72
[3,5,4,7,6,8,1,2]=>100
[4,5,3,7,8,6,1,2]=>108
[5,4,3,8,7,6,1,2]=>112
[6,4,8,3,7,5,1,2]=>132
[6,3,8,4,5,7,1,2]=>124
[5,3,4,8,6,7,1,2]=>108
[4,3,5,6,8,7,1,2]=>100
[3,2,5,6,1,8,7,4]=>48
[4,2,5,6,8,1,7,3]=>76
[5,2,4,8,6,1,7,3]=>84
[6,2,8,4,5,1,7,3]=>100
[7,8,2,4,5,1,6,3]=>124
[7,8,1,4,5,2,3,6]=>112
[6,1,8,4,5,2,3,7]=>84
[5,1,4,8,6,2,3,7]=>68
[4,1,3,2,8,6,5,7]=>28
[5,1,3,8,2,6,4,7]=>52
[6,1,8,3,2,5,4,7]=>72
[7,8,1,3,2,5,4,6]=>100
[7,8,2,3,1,5,6,4]=>108
[6,2,8,3,1,5,7,4]=>84
[5,2,3,8,1,6,7,4]=>64
[6,3,8,2,1,7,5,4]=>92
[7,8,3,2,1,6,5,4]=>112
[7,8,4,2,6,1,5,3]=>132
[5,4,2,8,7,1,6,3]=>92
[4,5,2,7,8,1,6,3]=>88
[2,5,3,7,1,6,8,4]=>52
[1,5,3,7,2,6,4,8]=>36
[1,6,7,3,2,5,4,8]=>52
[2,6,7,3,1,5,8,4]=>68
[3,6,7,2,1,8,5,4]=>80
[7,8,5,6,2,1,4,3]=>148
[6,5,8,7,1,2,3,4]=>132
[5,4,1,8,7,2,3,6]=>80
[6,4,8,1,7,2,3,5]=>108
[7,8,3,1,2,6,4,5]=>108
[5,3,1,8,2,7,4,6]=>60
[4,3,1,2,8,7,5,6]=>36
[4,2,1,3,8,5,7,6]=>28
[5,2,1,8,3,4,7,6]=>48
[6,2,8,1,3,4,7,5]=>76
[7,8,2,1,3,4,6,5]=>100
[6,3,1,5,2,4,8,7]=>46
[2,1,8,5,3,7,4,6]=>46
[8,2,6,1,4,3,7,5]=>86
[4,7,1,5,8,3,2,6]=>86
[8,6,1,3,4,2,5,7]=>92
[8,1,2,4,5,6,3,7]=>68
[8,2,5,1,3,6,4,7]=>76
[4,1,5,3,7,2,8,6]=>40
[5,2,7,1,3,8,4,6]=>62
[5,3,1,7,8,2,4,6]=>68
[1,7,3,4,2,5,8,6]=>40
[4,7,2,1,3,5,8,6]=>54
[4,5,2,3,7,6,1,8]=>60
[6,4,3,7,2,5,1,8]=>84
[8,4,3,6,5,1,2,7]=>108
[1,5,6,3,4,8,7,2]=>60
[4,6,2,7,3,5,1,8]=>76
[3,2,6,7,4,5,1,8]=>60
[4,7,2,6,5,3,1,8]=>84
[5,7,6,2,4,3,1,8]=>100
[1,7,5,4,8,3,6,2]=>84
[8,7,5,4,1,3,2,6]=>132
[6,8,5,4,2,1,3,7]=>116
[5,8,6,2,4,1,3,7]=>108
[4,8,2,6,5,1,3,7]=>92
[3,2,8,6,5,1,4,7]=>68
[4,1,2,6,5,8,7,3]=>44
[5,1,6,2,4,8,7,3]=>60
[6,1,5,4,2,8,7,3]=>68
[7,1,5,4,8,2,6,3]=>92
[8,1,5,4,7,6,2,3]=>108
[1,8,6,7,4,5,3,2]=>108
[8,1,6,7,4,5,2,3]=>120
[7,1,6,8,4,2,5,3]=>108
[6,1,7,8,2,4,5,3]=>100
[5,1,7,2,8,4,6,3]=>76
[4,1,2,7,8,5,6,3]=>56
[3,2,1,7,8,5,6,4]=>44
[3,2,8,7,1,5,4,6]=>68
[4,8,2,7,1,5,3,6]=>92
[5,8,7,2,1,4,3,6]=>112
[6,8,7,1,2,4,3,5]=>124
[7,8,6,1,4,2,3,5]=>132
[8,7,6,1,4,3,2,5]=>136
[1,7,6,8,4,3,5,2]=>100
[1,6,7,8,3,4,5,2]=>96
[8,6,7,1,3,4,2,5]=>132
[7,6,8,1,3,2,4,5]=>124
[5,7,8,2,1,3,4,6]=>108
[4,7,2,8,1,3,5,6]=>84
[3,2,6,8,4,1,5,7]=>60
[4,6,2,8,3,1,5,7]=>76
[5,6,8,2,3,1,4,7]=>100
[6,5,8,3,2,1,4,7]=>104
[7,5,8,3,1,2,4,6]=>116
[8,5,7,3,1,4,2,6]=>124
[1,5,7,3,8,4,6,2]=>76
[1,4,3,7,8,5,6,2]=>60
[8,4,3,7,1,5,2,6]=>108
[6,4,3,8,2,1,5,7]=>84
[4,5,2,3,8,1,6,7]=>56
[3,2,5,4,8,1,6,7]=>44
[4,5,2,3,1,8,7,6]=>44
[6,4,3,1,2,8,7,5]=>60
[7,4,3,1,8,2,6,5]=>84
[8,4,3,1,7,6,2,5]=>100
[1,5,8,3,7,6,4,2]=>84
[8,5,1,3,7,6,2,4]=>108
[7,5,1,3,8,2,6,4]=>92
[6,5,1,3,2,8,7,4]=>68
[5,6,1,2,3,8,7,4]=>64
[4,6,2,1,3,8,7,5]=>52
[3,2,6,1,4,8,7,5]=>36
[3,2,7,1,8,4,6,5]=>52
[4,7,2,1,8,3,6,5]=>72
[5,7,1,2,8,3,6,4]=>84
[6,7,1,8,2,3,5,4]=>108
[7,6,1,8,3,2,5,4]=>112
[8,6,1,7,3,5,2,4]=>124
[1,6,8,7,3,5,4,2]=>100
[1,7,8,6,5,3,4,2]=>108
[8,7,1,6,5,3,2,4]=>132
[7,8,1,6,5,2,3,4]=>128
[6,8,1,7,2,5,3,4]=>116
[5,8,1,2,7,6,3,4]=>96
[4,8,2,1,7,6,3,5]=>84
[3,2,8,1,7,6,4,5]=>60
[4,1,2,8,7,6,5,3]=>60
[5,1,8,2,7,6,4,3]=>84
[6,1,8,7,2,5,4,3]=>104
[7,1,8,6,5,2,4,3]=>116
[8,1,7,6,5,4,2,3]=>124
[1,4,3,8,7,5,6,2]=>62
[4,1,2,8,7,5,6,3]=>58
[3,2,5,1,6,4,8,7]=>24
[3,2,5,4,7,1,8,6]=>42
[4,2,5,3,7,6,8,1]=>68
[4,2,5,3,7,1,8,6]=>48
[4,2,5,3,6,1,8,7]=>42
[4,2,5,1,6,3,8,7]=>34
[3,1,5,4,6,2,8,7]=>28
[4,1,5,3,6,2,8,7]=>34
[4,3,5,1,6,2,8,7]=>42
[4,3,5,2,7,1,8,6]=>52
[4,3,6,2,7,5,8,1]=>78
[4,3,6,2,7,1,8,5]=>62
[4,3,6,1,7,2,8,5]=>58
[4,3,5,1,7,2,8,6]=>48
[3,1,5,4,7,2,8,6]=>34
[2,1,5,4,7,3,8,6]=>24
[3,1,5,4,7,6,8,2]=>50
[4,1,5,3,7,6,8,2]=>56
[4,3,5,1,7,6,8,2]=>64
[4,3,6,1,7,5,8,2]=>70
[4,3,6,5,7,1,8,2]=>86
[5,3,6,4,7,2,8,1]=>96
[5,3,6,4,7,1,8,2]=>92
[5,3,6,1,7,4,8,2]=>80
[5,1,6,3,7,4,8,2]=>72
[4,1,6,3,7,5,8,2]=>62
[3,1,6,4,7,5,8,2]=>56
[2,1,6,4,7,5,8,3]=>42
[2,1,6,4,7,3,8,5]=>34
[3,1,6,4,7,2,8,5]=>44
[4,1,6,3,7,2,8,5]=>50
[5,1,6,3,7,2,8,4]=>64
[5,3,6,1,7,2,8,4]=>72
[5,3,6,2,7,1,8,4]=>76
[5,3,6,2,7,4,8,1]=>88
[5,2,6,3,7,4,8,1]=>84
[5,2,6,3,7,1,8,4]=>72
[5,2,6,1,7,3,8,4]=>64
[4,2,5,1,7,3,8,6]=>40
[4,2,6,1,7,3,8,5]=>50
[4,2,6,3,7,1,8,5]=>58
[4,2,6,3,7,5,8,1]=>74
[3,2,6,4,7,5,8,1]=>68
[3,2,6,4,7,1,8,5]=>52
[3,2,6,1,7,4,8,5]=>40
[3,2,5,1,7,4,8,6]=>30
[3,2,4,1,7,5,8,6]=>24
[3,1,4,2,7,6,8,5]=>24
[3,2,5,1,7,6,8,4]=>38
[3,2,6,1,7,5,8,4]=>44
[3,2,6,5,7,1,8,4]=>60
[4,2,6,5,7,3,8,1]=>82
[4,2,6,5,7,1,8,3]=>74
[4,2,6,1,7,5,8,3]=>58
[4,2,5,1,7,6,8,3]=>52
[4,1,5,2,7,6,8,3]=>48
[3,1,5,2,7,6,8,4]=>34
[2,1,5,3,7,6,8,4]=>28
[2,1,6,3,7,5,8,4]=>34
[3,1,6,2,7,5,8,4]=>40
[4,1,6,2,7,5,8,3]=>54
[5,1,6,2,7,4,8,3]=>64
[5,2,6,1,7,4,8,3]=>68
[5,2,6,4,7,1,8,3]=>80
[5,2,6,4,7,3,8,1]=>88
[5,4,6,2,7,3,8,1]=>96
[5,4,6,2,7,1,8,3]=>88
[5,4,6,1,7,2,8,3]=>84
[5,1,6,4,7,2,8,3]=>72
[4,1,6,5,7,2,8,3]=>66
[3,1,6,5,7,2,8,4]=>52
[2,1,6,5,7,3,8,4]=>42
[3,1,6,5,7,4,8,2]=>60
[4,1,6,5,7,3,8,2]=>70
[5,1,6,4,7,3,8,2]=>76
[5,4,6,1,7,3,8,2]=>88
[5,4,6,3,7,1,8,2]=>96
[8,3,5,2,1,6,4,7]=>84
[8,6,3,5,2,4,1,7]=>116
[3,7,5,2,4,1,8,6]=>68
[8,3,7,5,2,4,6,1]=>130
[8,2,4,5,7,3,6,1]=>114
[2,4,5,7,3,1,8,6]=>52
[8,2,4,6,5,3,1,7]=>100
[8,2,5,4,6,1,3,7]=>96
[8,6,3,5,1,4,2,7]=>112
[8,6,1,4,5,3,2,7]=>104
[8,1,5,6,4,3,2,7]=>94
[5,7,4,3,2,1,8,6]=>82
[8,5,7,4,3,2,6,1]=>144
[4,6,8,3,2,7,5,1]=>114
[4,7,6,3,2,8,1,5]=>102
[1,4,6,7,3,2,8,5]=>52
[5,4,7,3,1,8,2,6]=>86
[1,7,4,5,3,2,8,6]=>52
[3,7,5,1,4,2,8,6]=>64
[5,7,4,2,1,3,8,6]=>76
[8,5,7,4,2,1,6,3]=>134
[8,3,7,5,1,4,6,2]=>124
[8,4,1,7,5,3,6,2]=>112
[4,6,3,8,7,1,5,2]=>110
[1,7,4,8,6,3,5,2]=>92
[8,4,7,6,3,5,2,1]=>152
[3,6,5,8,7,4,1,2]=>120
[3,1,5,8,6,7,4,2]=>72
[4,8,1,6,7,3,5,2]=>106
[3,6,4,1,8,7,5,2]=>80
[8,2,6,1,4,7,5,3]=>98
[2,7,6,8,1,4,3,5]=>96
[3,7,1,6,4,8,2,5]=>76
[1,7,3,5,6,8,2,4]=>72
[1,3,6,7,5,8,2,4]=>64
[3,7,6,5,8,2,1,4]=>116
[3,6,8,5,7,2,4,1]=>124
[2,3,5,7,6,8,1,4]=>72
[2,1,6,5,7,8,3,4]=>52
[4,2,7,6,8,3,1,5]=>92
[4,2,6,8,7,3,5,1]=>100
[3,8,2,4,6,7,5,1]=>96
[3,7,2,6,4,8,1,5]=>84
[3,2,6,1,4,7,8,5]=>34
[5,3,7,2,1,8,4,6]=>70
[4,7,3,2,1,5,8,6]=>60
[8,7,6,1,3,4,2,5]=>134
[8,5,7,3,2,1,6,4]=>126
[8,3,6,7,2,1,5,4]=>122
[3,7,8,6,2,1,5,4]=>112
[8,7,6,3,5,2,4,1]=>158
[2,7,4,8,1,6,5,3]=>88
[4,6,8,2,1,7,5,3]=>100
[8,4,1,5,7,2,6,3]=>104
[8,5,3,7,1,6,2,4]=>124
[8,5,7,2,1,3,6,4]=>120
[8,2,6,7,1,3,5,4]=>112
[8,3,6,1,7,5,2,4]=>114
[4,6,1,8,7,2,5,3]=>94
[8,1,2,5,6,7,4,3]=>88
[8,2,6,5,7,4,1,3]=>128
[2,1,7,8,5,6,4,3]=>68
[8,2,5,7,6,4,3,1]=>132
[2,7,6,8,5,4,1,3]=>116
[1,7,2,5,8,6,4,3]=>70
[1,7,4,8,2,6,5,3]=>80
[3,7,8,1,6,5,2,4]=>106
[2,7,8,6,1,3,5,4]=>100
[8,7,6,3,5,1,4,2]=>154
[8,4,7,6,5,1,3,2]=>150
[8,7,1,5,6,4,3,2]=>136
[8,1,6,7,5,4,3,2]=>124
[5,4,3,6,1,2,8,7]=>58
[2,7,6,4,5,8,1,3]=>100
[5,7,3,6,1,8,2,4]=>106
[2,1,7,6,5,8,3,4]=>58
[6,4,3,5,8,1,7,2]=>100
[7,3,5,4,8,6,1,2]=>122
[5,4,3,2,7,1,8,6]=>58
[4,3,6,2,8,7,5,1]=>86
[4,3,7,6,2,1,8,5]=>74
[6,4,3,1,7,2,8,5]=>68
[4,3,7,1,8,6,5,2]=>84
[5,3,8,7,6,4,2,1]=>130
[7,5,3,1,8,6,4,2]=>108
[1,8,6,5,3,7,4,2]=>96
[6,1,7,5,3,2,8,4]=>80
[7,6,5,3,2,1,8,4]=>108
[6,5,3,2,8,7,4,1]=>106
[5,2,6,3,8,7,4,1]=>94
[5,2,7,6,3,1,8,4]=>82
[6,5,2,1,7,3,8,4]=>74
[5,2,7,1,8,6,4,3]=>84
[6,2,8,7,5,4,3,1]=>128
[7,6,2,1,8,5,4,3]=>106
[6,1,7,2,8,5,4,3]=>90
[7,1,8,6,5,4,3,2]=>122
[4,5,2,6,3,1,8,7]=>54
[6,5,2,1,4,3,8,7]=>56
[6,5,2,7,4,8,3,1]=>114
[8,5,2,7,4,1,6,3]=>120
[8,3,7,5,2,1,6,4]=>118
[6,3,7,5,2,8,4,1]=>114
[3,1,6,5,4,2,8,7]=>34
[5,6,3,2,4,1,8,7]=>64
[3,6,2,4,1,5,8,7]=>40
[2,6,1,3,5,4,8,7]=>28
[6,7,2,3,4,8,5,1]=>110
[8,7,2,3,4,1,6,5]=>112
[5,1,7,3,8,4,6,2]=>84
[2,5,7,3,8,6,4,1]=>94
[7,6,1,3,5,8,4,2]=>106
[3,6,7,4,1,8,5,2]=>96
[5,6,3,7,4,8,1,2]=>118
[2,1,6,7,4,8,5,3]=>54
[2,1,8,7,4,3,6,5]=>56
[5,8,3,7,4,2,6,1]=>128
[3,8,7,4,1,2,6,5]=>98
[7,8,1,3,5,2,6,4]=>110
[5,8,7,3,2,6,1,4]=>130
[2,8,6,3,1,5,7,4]=>80
[8,1,6,3,2,5,4,7]=>80
[2,8,4,1,6,3,7,5]=>66
[4,8,1,2,7,6,3,5]=>82
[3,8,4,2,5,7,1,6]=>86
[6,8,3,5,2,7,4,1]=>130
[2,1,5,3,8,7,6,4]=>34
[6,5,3,2,8,7,1,4]=>100
[7,5,2,4,8,1,6,3]=>106
[3,4,2,8,5,7,6,1]=>76
[2,4,1,8,7,6,5,3]=>58
[8,4,2,1,7,5,3,6]=>88
[4,3,1,8,6,7,5,2]=>72
[3,1,4,8,6,5,7,2]=>60
[7,1,6,5,4,8,2,3]=>102
[3,7,5,6,8,4,2,1]=>124
[5,7,1,6,8,2,4,3]=>108
[8,6,2,5,1,7,4,3]=>118
[5,6,2,1,8,7,3,4]=>84
[4,6,2,5,8,3,7,1]=>94
[7,5,2,6,3,8,1,4]=>110
[4,1,2,3,6,8,7,5]=>26
[2,4,3,1,8,5,6,7]=>26
[7,5,2,8,3,4,6,1]=>120
[5,6,2,8,4,3,1,7]=>96
[4,7,2,8,1,5,3,6]=>88
[8,7,2,1,4,5,6,3]=>112
[3,6,8,7,1,5,4,2]=>116
[5,7,8,6,3,4,1,2]=>150
[7,1,8,5,4,3,6,2]=>110
[2,7,8,4,5,3,6,1]=>110
[5,7,3,8,1,4,6,2]=>114
[2,1,7,8,5,4,6,3]=>64
[2,1,5,8,4,6,3,7]=>40
[6,5,3,8,4,1,2,7]=>102
[7,5,8,4,3,6,2,1]=>148
[2,4,8,3,5,6,1,7]=>68
[4,1,8,3,6,5,2,7]=>64
[3,4,8,1,7,2,5,6]=>70
[8,4,1,3,7,2,6,5]=>88
[3,1,8,2,4,7,6,5]=>46
[2,3,8,1,4,6,7,5]=>46
[4,3,8,2,5,1,7,6]=>68
[6,3,8,4,2,5,7,1]=>110
[7,4,3,8,2,5,1,6]=>106
[2,1,4,8,3,5,7,6]=>28
[6,8,2,4,3,5,1,7]=>104
[4,8,2,3,5,1,6,7]=>74
[3,8,2,1,4,6,5,7]=>56
[2,8,1,3,4,5,7,6]=>48
[7,1,6,8,4,3,2,5]=>106
[7,1,6,5,8,3,2,4]=>106
[3,7,6,1,4,8,2,5]=>86
[2,7,8,4,1,6,5,3]=>96
[3,6,4,5,7,2,8,1]=>92
[1,8,2,7,3,4,5,6]=>62
[3,2,1,5,8,4,6,7]=>24
[5,4,3,2,1,8,6,7]=>46
[1,8,2,4,3,5,6,7]=>44
[1,7,2,4,3,5,6,8]=>32
[1,6,2,4,3,5,7,8]=>22
[1,5,2,4,3,6,7,8]=>14
[1,6,2,5,3,4,7,8]=>26
[1,7,2,5,3,4,6,8]=>36
[1,8,2,5,3,4,6,7]=>48
[1,8,2,6,3,4,5,7]=>54
[1,7,2,6,3,4,5,8]=>42
[1,8,2,7,3,5,4,6]=>64
[1,7,2,8,3,5,4,6]=>60
[1,6,2,8,3,5,4,7]=>48
[1,5,2,8,3,6,4,7]=>40
[1,4,2,8,3,6,5,7]=>30
[1,3,2,8,4,6,5,7]=>24
[1,2,3,8,4,6,5,7]=>22
[1,2,3,7,4,6,5,8]=>14
[1,3,2,7,4,6,5,8]=>16
[1,4,2,7,3,6,5,8]=>22
[1,5,2,7,3,6,4,8]=>32
[1,6,2,7,3,5,4,8]=>40
[1,7,2,6,3,5,4,8]=>44
[1,8,2,6,3,5,4,7]=>56
[1,8,2,5,3,6,4,7]=>52
[1,7,2,5,3,6,4,8]=>40
[1,6,2,5,3,7,4,8]=>32
[1,5,2,4,3,7,6,8]=>16
[1,6,2,4,3,7,5,8]=>26
[1,7,2,4,3,6,5,8]=>34
[1,8,2,4,3,6,5,7]=>46
[1,8,2,3,4,6,5,7]=>44
[1,7,2,3,4,6,5,8]=>32
[1,8,2,3,4,7,5,6]=>48
[1,8,2,4,3,7,5,6]=>50
[1,7,2,4,3,8,5,6]=>42
[1,6,2,4,3,8,5,7]=>30
[1,5,2,4,3,8,6,7]=>20
[1,6,2,5,3,8,4,7]=>36
[1,7,2,5,3,8,4,6]=>48
[1,8,2,5,3,7,4,6]=>56
[1,8,2,6,3,7,4,5]=>64
[1,7,2,6,3,8,4,5]=>56
[1,2,3,8,4,7,5,6]=>26
[1,3,2,8,4,7,5,6]=>28
[1,4,2,8,3,7,5,6]=>34
[1,5,2,8,3,7,4,6]=>44
[1,6,2,8,3,7,4,5]=>56
[1,7,2,8,3,6,4,5]=>64
[1,8,2,7,3,6,4,5]=>68
[6,7,8,1,4,3,2,5]=>128
[2,8,4,1,6,7,5,3]=>78
[4,8,5,7,1,6,2,3]=>124
[8,7,6,5,2,1,4,3]=>152
[8,3,1,5,4,7,2,6]=>86
[8,7,6,5,1,4,2,3]=>154
[7,5,1,3,8,4,2,6]=>92
[7,6,1,4,8,3,2,5]=>108
[7,1,3,5,8,2,4,6]=>76
[7,5,3,6,4,2,8,1]=>116
[8,2,6,3,4,7,5,1]=>114
[7,2,6,3,5,4,8,1]=>100
[6,2,7,4,3,5,8,1]=>96
[3,7,6,4,5,2,8,1]=>104
[2,7,6,5,3,4,8,1]=>94
[8,6,5,4,2,7,3,1]=>144
[6,5,8,4,2,7,3,1]=>134
[1,8,6,3,7,5,2,4]=>92
[8,7,5,2,6,4,3,1]=>152
[8,7,1,6,2,5,4,3]=>126
[1,7,2,8,5,3,4,6]=>64
[7,6,1,8,4,3,2,5]=>116
[8,6,1,7,4,2,5,3]=>124
[8,1,2,7,3,4,6,5]=>78
[7,1,2,8,3,5,4,6]=>72
[8,2,6,1,7,3,5,4]=>100
[4,7,5,6,8,3,2,1]=>134
[8,6,4,7,5,3,2,1]=>158
[5,4,8,1,7,2,6,3]=>100
[2,3,8,7,4,5,6,1]=>88
[7,2,8,6,4,3,5,1]=>128
[8,2,7,6,3,5,4,1]=>132
[8,1,7,6,5,2,4,3]=>120
[7,1,8,6,5,3,2,4]=>116
[1,2,8,7,6,3,4,5]=>62
[3,8,7,6,4,5,2,1]=>136
[2,8,7,6,5,3,4,1]=>124
[1,8,7,6,5,4,2,3]=>110
[3,8,6,7,1,5,2,4]=>116
[5,4,7,1,3,8,2,6]=>82
[5,6,2,1,4,8,3,7]=>64
[2,1,8,4,7,5,6,3]=>58
[4,1,3,2,8,5,6,7]=>26
[3,2,1,4,8,5,6,7]=>20
[1,8,4,2,5,3,6,7]=>52
[8,1,5,3,2,4,6,7]=>70
[3,8,1,5,2,4,6,7]=>60
[1,6,7,2,8,4,3,5]=>74
[6,7,1,4,2,8,3,5]=>92
[6,3,7,1,4,8,2,5]=>90
[3,7,8,1,5,2,4,6]=>92
[7,1,2,8,5,3,4,6]=>76
[1,7,2,8,4,5,3,6]=>64
[1,2,7,5,8,3,4,6]=>48
[2,8,1,7,4,3,6,5]=>70
[4,2,6,5,8,3,7,1]=>86
[5,2,4,7,3,6,8,1]=>80
[5,1,2,4,8,3,6,7]=>38
[4,3,6,1,5,8,2,7]=>58
[2,6,1,4,5,8,3,7]=>42
[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]=>68
[2,8,1,7,5,6,3,4]=>82
[5,3,6,8,4,7,2,1]=>118
[3,7,2,5,4,8,6,1]=>86
[8,4,2,5,7,3,6,1]=>118
[4,7,2,5,8,3,6,1]=>104
[5,2,6,8,4,3,7,1]=>100
[3,1,6,5,4,8,2,7]=>46
[4,1,6,5,8,3,2,7]=>64
[5,1,6,8,4,3,2,7]=>78
[8,5,4,7,6,3,2,1]=>152
[5,7,1,8,4,3,2,6]=>100
[2,7,1,5,4,3,8,6]=>46
[8,2,1,5,4,3,7,6]=>68
[8,4,1,5,7,3,2,6]=>100
[8,5,6,7,1,3,2,4]=>142
[8,4,6,1,7,3,2,5]=>118
[8,3,6,1,4,7,2,5]=>104
[2,7,6,1,4,3,8,5]=>64
[6,7,8,5,1,3,2,4]=>142
[5,7,6,8,2,3,4,1]=>142
[5,7,2,8,4,3,6,1]=>118
[6,7,8,2,4,3,5,1]=>142
[4,7,6,2,8,3,5,1]=>118
[8,3,6,2,4,7,5,1]=>118
[3,7,6,2,4,8,5,1]=>100
[5,7,3,8,4,6,2,1]=>132
[4,7,3,5,8,6,2,1]=>118
[8,7,2,1,4,3,6,5]=>104
[8,7,3,1,4,6,2,5]=>118
[8,7,6,3,2,5,4,1]=>152
[8,7,3,5,1,6,2,4]=>132
[8,7,2,5,1,3,6,4]=>118
[8,2,6,5,1,3,7,4]=>100
[8,4,6,5,7,1,2,3]=>142
[5,7,6,8,4,1,2,3]=>142
[4,7,6,5,8,1,2,3]=>128
[3,7,6,5,1,8,2,4]=>100
[2,6,5,7,3,4,8,1]=>88
[1,6,4,7,5,8,2,3]=>80
[8,5,3,6,2,7,4,1]=>130
[1,3,7,4,6,8,2,5]=>56
[4,7,5,6,3,2,8,1]=>112
[1,7,6,5,4,8,2,3]=>90
[8,1,6,5,7,2,4,3]=>114
[1,2,7,6,8,3,4,5]=>56
[6,1,7,5,3,8,2,4]=>92
[2,1,7,5,6,8,3,4]=>56
[5,4,1,7,6,8,2,3]=>88
[4,8,5,6,2,7,3,1]=>128
[3,8,6,4,2,7,5,1]=>112
[7,8,5,2,4,6,3,1]=>146
[2,8,6,3,7,4,5,1]=>108
[7,8,1,6,2,4,5,3]=>122
[6,8,1,4,7,2,5,3]=>114
[3,8,4,1,7,2,6,5]=>80
[5,4,7,1,8,3,2,6]=>92
[3,7,4,1,8,5,2,6]=>78
[6,7,1,4,8,3,2,5]=>106
[2,7,1,8,4,5,3,6]=>68
[6,1,2,8,4,3,5,7]=>58
[6,5,1,4,3,8,2,7]=>72
[1,6,2,5,8,3,4,7]=>46
[8,5,1,3,7,2,6,4]=>100
[8,4,2,1,7,3,6,5]=>86
[7,4,2,1,8,5,3,6]=>80
[1,5,4,2,8,3,6,7]=>34
[6,4,3,1,5,8,2,7]=>68
[3,7,6,8,4,5,2,1]=>130
[2,7,6,8,5,3,4,1]=>118
[1,7,6,8,5,4,2,3]=>104
[1,4,8,6,7,5,2,3]=>88
[2,4,8,6,7,3,5,1]=>100
[7,3,8,5,4,6,2,1]=>138
[3,4,8,5,6,7,2,1]=>110
[6,3,5,8,4,7,2,1]=>122
[5,4,3,8,6,7,2,1]=>112
[5,4,2,8,7,3,6,1]=>100
[6,2,5,8,7,3,4,1]=>116
[3,2,8,5,7,4,6,1]=>88
[1,3,8,7,5,6,2,4]=>76
[2,1,8,7,4,6,3,5]=>62
[3,1,8,5,7,6,2,4]=>76
[6,1,5,8,7,4,2,3]=>104
[5,4,1,8,7,6,2,3]=>94
[5,8,6,7,4,3,2,1]=>154
[4,8,7,5,6,3,2,1]=>146
[2,8,3,1,5,4,6,7]=>52
[2,5,3,4,7,1,8,6]=>44
[2,4,8,3,5,7,6,1]=>82
[4,2,5,3,1,8,6,7]=>36
[4,2,1,8,5,3,6,7]=>40
[5,4,1,3,8,2,6,7]=>52
[5,1,4,8,3,2,6,7]=>56
[1,5,8,4,3,2,6,7]=>56
[1,8,5,4,3,2,6,7]=>62
[1,7,4,3,8,5,2,6]=>66
[1,5,7,3,8,4,2,6]=>68
[5,1,4,7,8,3,2,6]=>74
[4,8,1,5,7,3,6,2]=>100
[8,1,5,3,7,4,6,2]=>100
[3,8,4,7,6,5,2,1]=>126
[1,6,8,5,3,7,4,2]=>92
[6,8,1,7,4,3,5,2]=>124
[6,4,8,1,7,3,5,2]=>116
[6,4,8,7,1,5,2,3]=>130
[7,6,4,1,3,8,2,5]=>104
[1,7,5,6,3,2,8,4]=>70
[4,2,1,7,8,5,3,6]=>52
[2,7,4,6,3,1,8,5]=>70
[2,6,8,4,3,7,5,1]=>100
[6,2,4,8,3,7,5,1]=>100
[7,2,6,3,4,1,8,5]=>82
[2,6,7,3,1,4,8,5]=>64
[2,7,1,8,3,5,4,6]=>64
[2,1,7,3,5,8,4,6]=>36
[8,7,1,3,6,2,4,5]=>114
[8,2,1,7,3,5,6,4]=>84
[7,8,2,6,3,1,5,4]=>126
[8,7,2,6,3,5,4,1]=>142
[1,2,8,7,4,5,6,3]=>62
[8,3,7,1,5,6,2,4]=>116
[8,6,1,2,7,5,3,4]=>110
[8,1,6,2,7,4,5,3]=>100
[1,8,5,2,6,7,4,3]=>80
[5,2,1,8,6,7,4,3]=>72
[2,8,5,7,6,4,3,1]=>120
[1,7,8,5,2,6,4,3]=>94
[7,8,1,6,4,2,5,3]=>126
[7,8,6,1,5,3,2,4]=>140
[7,3,8,6,1,5,2,4]=>124
[8,7,6,1,5,3,4,2]=>146
[8,7,1,6,4,5,3,2]=>136
[8,1,7,5,6,4,3,2]=>124
[1,8,6,7,5,4,3,2]=>110
[9,1,2,3,4,5,6,7,8]=>72
[8,1,2,3,4,5,6,9,7]=>60
[2,9,1,3,4,5,6,7,8]=>60
[9,3,1,2,4,5,6,7,8]=>78
[8,9,1,2,3,4,5,6,7]=>126
[9,7,8,1,2,3,4,5,6]=>168
[2,3,4,5,6,7,9,1,8]=>60
[2,3,4,5,6,7,8,9,1]=>72
[2,3,4,5,6,7,8,1,9]=>56
[2,3,4,5,6,7,1,8,9]=>42
[1,2,3,4,5,6,7,9,8]=>2
[2,1,3,4,5,6,7,8,9]=>2
[1,8,2,3,4,5,6,9,7]=>46
[7,1,2,3,4,5,6,9,8]=>44
[2,1,9,3,4,5,6,7,8]=>44
[2,8,1,3,4,5,6,7,9]=>46
[1,2,3,4,5,6,7,8,9]=>0
[3,2,4,5,6,7,8,9,1]=>74
[9,8,7,6,5,4,3,2,1]=>240
[8,7,6,5,4,3,2,1,9]=>168
[1,9,8,7,6,5,4,3,2]=>168
[8,7,6,4,5,3,2,1,9]=>166
[1,9,8,7,5,6,4,3,2]=>166
[8,7,5,4,6,3,2,1,9]=>162
[8,7,4,6,5,3,2,1,9]=>162
[1,9,8,6,5,7,4,3,2]=>162
[1,9,8,5,7,6,4,3,2]=>162
[9,2,1,3,4,5,6,7,8]=>74
[9,2,3,1,4,5,6,7,8]=>78
[4,2,3,5,6,7,8,9,1]=>78
[3,4,2,5,6,7,8,9,1]=>78
[9,8,1,2,3,4,5,6,7]=>128
[7,8,9,1,2,3,4,5,6]=>162
[9,8,7,1,2,3,4,5,6]=>170
[6,7,8,9,1,2,3,4,5]=>180
[9,6,7,8,1,2,3,4,5]=>192
[8,9,6,7,1,2,3,4,5]=>196
[9,8,6,7,1,2,3,4,5]=>198
[9,8,7,6,1,2,3,4,5]=>200
[9,5,6,7,8,1,2,3,4]=>200
[8,9,5,6,7,1,2,3,4]=>210
[9,8,5,6,7,1,2,3,4]=>212
[9,7,8,5,6,1,2,3,4]=>216
[9,8,7,5,6,1,2,3,4]=>218
[9,8,7,6,5,1,2,3,4]=>220
[7,8,9,4,5,6,1,2,3]=>216
[9,7,8,4,5,6,1,2,3]=>222
[9,8,7,4,5,6,1,2,3]=>224
[8,9,6,7,4,5,1,2,3]=>226
[9,8,6,7,4,5,1,2,3]=>228
[9,8,7,6,4,5,1,2,3]=>230
[9,8,7,6,5,4,1,2,3]=>232
[9,7,8,5,6,3,4,1,2]=>232
[9,8,7,5,6,3,4,1,2]=>234
[9,8,7,6,5,3,4,1,2]=>236
[9,8,7,6,5,4,3,1,2]=>238
[7,8,6,5,4,3,2,1,9]=>166
[1,8,9,7,6,5,4,3,2]=>166
[7,6,8,5,4,3,2,1,9]=>162
[6,8,7,5,4,3,2,1,9]=>162
[1,8,7,9,6,5,4,3,2]=>162
[1,7,9,8,6,5,4,3,2]=>162
[8,1,2,3,4,5,6,7,9]=>56
[1,9,2,3,4,5,6,7,8]=>56
[7,8,1,2,3,4,5,6,9]=>96
[1,8,9,2,3,4,5,6,7]=>96
[7,1,8,2,3,4,5,6,9]=>82
[6,8,1,2,3,4,5,7,9]=>82
[1,8,2,9,3,4,5,6,7]=>82
[1,7,9,2,3,4,5,6,8]=>82
[7,1,2,3,4,5,6,8,9]=>42
[3,4,1,2,5,6,7,8,9]=>16
[3,2,1,4,5,6,7,8,9]=>8
[4,5,6,1,2,3,7,8,9]=>54
[4,2,5,1,3,6,7,8,9]=>26
[4,3,2,1,5,6,7,8,9]=>20
[5,6,7,8,1,2,3,4,9]=>128
[5,2,6,7,1,3,4,8,9]=>68
[5,6,3,4,1,2,7,8,9]=>64
[5,3,2,6,1,4,7,8,9]=>42
[5,4,3,2,1,6,7,8,9]=>40
[6,2,7,8,9,1,3,4,5]=>146
[6,7,3,4,8,1,2,5,9]=>118
[6,3,2,7,8,1,4,5,9]=>88
[6,4,7,2,5,1,3,8,9]=>90
[6,4,3,2,7,1,5,8,9]=>66
[6,5,4,3,2,1,7,8,9]=>70
[7,4,8,2,5,9,1,3,6]=>148
[7,4,3,2,8,9,1,5,6]=>116
[7,8,5,6,3,4,1,2,9]=>160
[7,5,3,8,2,6,1,4,9]=>122
[7,5,4,3,2,8,1,6,9]=>100
[7,6,5,4,3,2,1,8,9]=>112
[8,6,9,4,7,2,5,1,3]=>210
[8,6,4,3,9,2,7,1,5]=>164
[8,6,5,4,3,2,9,1,7]=>146
[2,1,4,3,6,5,8,7,10,9]=>10
[4,3,2,1,6,5,8,7,10,9]=>26
[6,3,2,5,4,1,8,7,10,9]=>58
[8,3,2,5,4,7,6,1,10,9]=>106
[10,3,2,5,4,7,6,9,8,1]=>170
[2,1,6,5,4,3,8,7,10,9]=>26
[6,5,4,3,2,1,8,7,10,9]=>74
[8,5,4,3,2,7,6,1,10,9]=>122
[10,5,4,3,2,7,6,9,8,1]=>186
[2,1,8,5,4,7,6,3,10,9]=>58
[8,7,4,3,6,5,2,1,10,9]=>154
[10,7,4,3,6,5,2,9,8,1]=>218
[2,1,10,5,4,7,6,9,8,3]=>106
[10,9,4,3,6,5,8,7,2,1]=>266
[8,9,5,6,3,4,10,1,2,7]=>230
[2,1,4,3,8,7,6,5,10,9]=>26
[4,3,2,1,8,7,6,5,10,9]=>42
[8,3,2,7,6,5,4,1,10,9]=>122
[10,3,2,7,6,5,4,9,8,1]=>186
[2,1,8,7,6,5,4,3,10,9]=>74
[8,7,6,5,4,3,2,1,10,9]=>170
[9,7,6,5,4,3,2,10,1,8]=>206
[10,7,6,5,4,3,2,9,8,1]=>234
[2,1,10,7,6,5,4,9,8,3]=>122
[10,9,6,5,4,3,8,7,2,1]=>282
[2,1,4,3,10,7,6,9,8,5]=>58
[4,3,2,1,10,7,6,9,8,5]=>74
[10,3,2,9,6,5,8,7,4,1]=>218
[2,1,10,9,6,5,8,7,4,3]=>154
[10,9,8,5,4,7,6,3,2,1]=>314
[6,7,8,9,10,1,2,3,4,5]=>250
[7,3,2,8,9,10,1,4,5,6]=>170
[8,5,4,3,2,9,10,1,6,7]=>154
[2,1,4,3,6,5,10,9,8,7]=>26
[4,3,2,1,6,5,10,9,8,7]=>42
[6,3,2,5,4,1,10,9,8,7]=>74
[10,3,2,5,4,9,8,7,6,1]=>186
[2,1,6,5,4,3,10,9,8,7]=>42
[6,5,4,3,2,1,10,9,8,7]=>90
[10,5,4,3,2,9,8,7,6,1]=>202
[2,1,10,5,4,9,8,7,6,3]=>122
[10,9,4,3,8,7,6,5,2,1]=>282
[9,7,5,10,3,8,2,6,1,4]=>266
[2,1,4,3,10,9,8,7,6,5]=>74
[4,3,2,1,10,9,8,7,6,5]=>90
[10,3,2,9,8,7,6,5,4,1]=>234
[2,1,10,9,8,7,6,5,4,3]=>170
[10,9,8,7,6,5,4,3,2,1]=>330
[2,3,4,5,6,7,8,9,10,1]=>90
[2,3,4,5,6,7,8,9,1,10]=>72
[10,8,9,5,6,7,1,2,3,4]=>300
[10,8,9,4,5,6,1,2,3,7]=>270
[10,7,8,5,6,9,1,2,3,4]=>286
[10,7,8,4,5,9,1,2,3,6]=>264
[10,6,7,4,5,8,1,2,3,9]=>226
[10,7,8,3,4,9,1,2,5,6]=>246
[10,6,7,3,4,8,1,2,5,9]=>208
[9,8,10,5,6,7,1,2,3,4]=>296
[9,8,10,4,5,6,1,2,3,7]=>266
[9,7,10,5,6,8,1,2,3,4]=>288
[9,7,10,4,5,8,1,2,3,6]=>266
[9,6,10,4,5,7,1,2,3,8]=>242
[9,7,10,3,4,8,1,2,5,6]=>248
[9,6,10,3,4,7,1,2,5,8]=>224
[8,7,9,5,6,10,1,2,3,4]=>272
[8,7,9,4,5,10,1,2,3,6]=>250
[8,6,9,4,5,10,1,2,3,7]=>234
[7,6,8,4,5,9,1,2,3,10]=>194
[8,7,9,3,4,10,1,2,5,6]=>232
[8,6,9,3,4,10,1,2,5,7]=>216
[7,6,8,3,4,9,1,2,5,10]=>176
[9,6,10,5,7,8,1,2,3,4]=>282
[9,6,10,4,7,8,1,2,3,5]=>270
[9,5,10,4,6,7,1,2,3,8]=>236
[9,6,10,3,7,8,1,2,4,5]=>260
[9,5,10,3,6,7,1,2,4,8]=>226
[8,6,9,5,7,10,1,2,3,4]=>266
[8,6,9,4,7,10,1,2,3,5]=>254
[8,5,9,4,6,10,1,2,3,7]=>228
[7,5,8,4,6,9,1,2,3,10]=>188
[8,6,9,3,7,10,1,2,4,5]=>244
[8,5,9,3,6,10,1,2,4,7]=>218
[7,5,8,3,6,9,1,2,4,10]=>178
[8,4,9,3,5,10,1,2,6,7]=>196
[7,4,8,3,5,9,1,2,6,10]=>156
[9,6,10,2,7,8,1,3,4,5]=>252
[9,5,10,2,6,7,1,3,4,8]=>218
[8,6,9,2,7,10,1,3,4,5]=>236
[8,5,9,2,6,10,1,3,4,7]=>210
[7,5,8,2,6,9,1,3,4,10]=>170
[8,4,9,2,5,10,1,3,6,7]=>188
[7,4,8,2,5,9,1,3,6,10]=>148
[1,2,3,4,5,6,7,8,10,9]=>2
[2,1,3,4,5,6,7,8,9,10]=>2
[9,1,2,3,4,5,6,7,10,8]=>76
[2,10,1,3,4,5,6,7,8,9]=>76
[1,2,3,4,5,6,7,8,9,10]=>0
[9,8,7,6,5,4,3,2,1,10]=>240
[10,1,2,3,4,5,6,7,8,9]=>90
[10,9,1,2,3,4,5,6,7,8]=>162
[1,10,9,8,7,6,5,4,3,2]=>240
[9,8,7,5,6,4,3,2,1,10]=>238
[1,10,9,8,6,7,5,4,3,2]=>238
[10,2,1,3,4,5,6,7,8,9]=>92
[3,2,4,5,6,7,8,9,10,1]=>92
[2,4,6,8,10,1,3,5,7,9]=>110
[2,4,6,9,10,1,3,5,7,8]=>122
[2,4,7,8,10,1,3,5,6,9]=>122
[2,4,7,9,10,1,3,5,6,8]=>134
[2,4,8,9,10,1,3,5,6,7]=>148
[2,5,6,8,10,1,3,4,7,9]=>122
[2,5,6,9,10,1,3,4,7,8]=>134
[2,5,7,8,10,1,3,4,6,9]=>134
[2,5,7,9,10,1,3,4,6,8]=>146
[2,5,8,9,10,1,3,4,6,7]=>160
[2,6,7,8,10,1,3,4,5,9]=>148
[2,6,7,9,10,1,3,4,5,8]=>160
[2,6,8,9,10,1,3,4,5,7]=>174
[2,7,8,9,10,1,3,4,5,6]=>190
[3,4,6,8,10,1,2,5,7,9]=>122
[3,4,6,9,10,1,2,5,7,8]=>134
[3,4,7,8,10,1,2,5,6,9]=>134
[3,4,7,9,10,1,2,5,6,8]=>146
[3,4,8,9,10,1,2,5,6,7]=>160
[3,5,6,8,10,1,2,4,7,9]=>134
[3,5,6,9,10,1,2,4,7,8]=>146
[3,5,7,8,10,1,2,4,6,9]=>146
[3,5,7,9,10,1,2,4,6,8]=>158
[3,5,8,9,10,1,2,4,6,7]=>172
[3,6,7,8,10,1,2,4,5,9]=>160
[3,6,7,9,10,1,2,4,5,8]=>172
[3,6,8,9,10,1,2,4,5,7]=>186
[3,7,8,9,10,1,2,4,5,6]=>202
[4,5,6,8,10,1,2,3,7,9]=>148
[4,5,6,9,10,1,2,3,7,8]=>160
[4,5,7,8,10,1,2,3,6,9]=>160
[4,5,7,9,10,1,2,3,6,8]=>172
[4,5,8,9,10,1,2,3,6,7]=>186
[4,6,7,8,10,1,2,3,5,9]=>174
[4,6,7,9,10,1,2,3,5,8]=>186
[4,6,8,9,10,1,2,3,5,7]=>200
[4,7,8,9,10,1,2,3,5,6]=>216
[5,6,7,8,10,1,2,3,4,9]=>190
[5,6,7,9,10,1,2,3,4,8]=>202
[5,6,8,9,10,1,2,3,4,7]=>216
[5,7,8,9,10,1,2,3,4,6]=>232
[9,10,1,2,3,4,5,6,7,8]=>160
[8,9,10,1,2,3,4,5,6,7]=>210
[10,8,9,1,2,3,4,5,6,7]=>216
[10,9,8,1,2,3,4,5,6,7]=>218
[7,8,9,10,1,2,3,4,5,6]=>240
[10,7,8,9,1,2,3,4,5,6]=>252
[9,10,7,8,1,2,3,4,5,6]=>256
[10,9,7,8,1,2,3,4,5,6]=>258
[10,9,8,7,1,2,3,4,5,6]=>260
[10,6,7,8,9,1,2,3,4,5]=>270
[9,10,6,7,8,1,2,3,4,5]=>280
[10,9,6,7,8,1,2,3,4,5]=>282
[10,8,9,6,7,1,2,3,4,5]=>286
[10,9,8,6,7,1,2,3,4,5]=>288
[10,9,8,7,6,1,2,3,4,5]=>290
[9,10,5,6,7,8,1,2,3,4]=>288
[10,9,5,6,7,8,1,2,3,4]=>290
[8,9,10,5,6,7,1,2,3,4]=>294
[10,9,8,5,6,7,1,2,3,4]=>302
[9,10,7,8,5,6,1,2,3,4]=>304
[10,9,7,8,5,6,1,2,3,4]=>306
[10,9,8,7,5,6,1,2,3,4]=>308
[10,9,8,7,6,5,1,2,3,4]=>310
[10,7,8,9,4,5,6,1,2,3]=>306
[9,10,7,8,4,5,6,1,2,3]=>310
[10,9,7,8,4,5,6,1,2,3]=>312
[10,9,8,7,4,5,6,1,2,3]=>314
[10,8,9,6,7,4,5,1,2,3]=>316
[10,9,8,6,7,4,5,1,2,3]=>318
[10,9,8,7,6,4,5,1,2,3]=>320
[10,9,8,7,6,5,4,1,2,3]=>322
[9,10,7,8,5,6,3,4,1,2]=>320
[10,9,7,8,5,6,3,4,1,2]=>322
[10,9,8,7,5,6,3,4,1,2]=>324
[10,9,8,7,6,5,3,4,1,2]=>326
[10,9,8,7,6,5,4,3,1,2]=>328
[8,9,7,6,5,4,3,2,1,10]=>238
[1,9,10,8,7,6,5,4,3,2]=>238
[9,1,2,3,4,5,6,7,8,10]=>72
[1,10,2,3,4,5,6,7,8,9]=>72
[8,9,1,2,3,4,5,6,7,10]=>126
[1,9,10,2,3,4,5,6,7,8]=>126
[3,4,1,2,5,6,7,8,9,10]=>16
[3,2,1,4,5,6,7,8,9,10]=>8
[4,5,6,1,2,3,7,8,9,10]=>54
[4,2,5,1,3,6,7,8,9,10]=>26
[4,3,2,1,5,6,7,8,9,10]=>20
[5,6,7,8,1,2,3,4,9,10]=>128
[5,2,6,7,1,3,4,8,9,10]=>68
[5,6,3,4,1,2,7,8,9,10]=>64
[5,3,2,6,1,4,7,8,9,10]=>42
[5,4,3,2,1,6,7,8,9,10]=>40
[6,2,7,8,9,1,3,4,5,10]=>146
[6,7,3,4,8,1,2,5,9,10]=>118
[6,3,2,7,8,1,4,5,9,10]=>88
[6,4,7,2,5,1,3,8,9,10]=>90
[6,4,3,2,7,1,5,8,9,10]=>66
[6,5,4,3,2,1,7,8,9,10]=>70
[7,8,3,4,9,10,1,2,5,6]=>208
[7,8,9,4,5,6,1,2,3,10]=>216
[7,4,3,2,8,9,1,5,6,10]=>116
[7,8,5,6,3,4,1,2,9,10]=>160
[7,5,3,8,2,6,1,4,9,10]=>122
[7,5,4,3,2,8,1,6,9,10]=>100
[7,6,5,4,3,2,1,8,9,10]=>112
[8,5,9,10,2,6,7,1,3,4]=>260
[8,5,3,9,2,6,10,1,4,7]=>184
[8,6,9,4,7,2,5,1,3,10]=>210
[8,6,4,3,9,2,7,1,5,10]=>164
[8,6,5,4,3,2,9,1,7,10]=>146
[8,7,6,5,4,3,2,1,9,10]=>168
[9,7,5,4,3,10,2,8,1,6]=>218
[1,2,3,4,5,6,7,8,9,11,10]=>2
[2,1,3,4,5,6,7,8,9,10,11]=>2
[11,1,2,3,4,5,6,7,8,9,10]=>110
[10,9,8,7,6,5,4,3,2,1,11]=>330
[1,11,10,9,8,7,6,5,4,3,2]=>330
[2,3,4,5,6,7,8,9,10,11,1]=>110
[10,1,2,3,4,5,6,7,8,9,11]=>90
[1,11,2,3,4,5,6,7,8,9,10]=>90
[2,1,4,3,6,5,8,7,10,9,12,11]=>12
[2,1,4,3,6,5,8,7,12,11,10,9]=>28
[2,1,4,3,6,5,10,9,8,7,12,11]=>28
[2,1,4,3,6,5,12,9,8,11,10,7]=>60
[2,1,4,3,6,5,12,11,10,9,8,7]=>76
[2,1,4,3,8,7,6,5,10,9,12,11]=>28
[2,1,4,3,8,7,6,5,12,11,10,9]=>44
[2,1,4,3,10,7,6,9,8,5,12,11]=>60
[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]=>124
[2,1,4,3,10,9,8,7,6,5,12,11]=>76
[2,1,4,3,12,9,8,7,6,11,10,5]=>124
[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]=>172
[2,1,6,5,4,3,8,7,10,9,12,11]=>28
[2,1,6,5,4,3,8,7,12,11,10,9]=>44
[2,1,6,5,4,3,10,9,8,7,12,11]=>44
[2,1,6,5,4,3,12,9,8,11,10,7]=>76
[2,1,6,5,4,3,12,11,10,9,8,7]=>92
[2,1,8,5,4,7,6,3,10,9,12,11]=>60
[2,1,8,5,4,7,6,3,12,11,10,9]=>76
[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]=>172
[2,1,12,5,4,7,6,11,10,9,8,3]=>188
[2,1,10,5,4,9,8,7,6,3,12,11]=>124
[2,1,12,5,4,9,8,7,6,11,10,3]=>188
[2,1,12,5,4,11,8,7,10,9,6,3]=>220
[2,1,12,5,4,11,10,9,8,7,6,3]=>236
[2,1,8,7,6,5,4,3,10,9,12,11]=>76
[2,1,8,7,6,5,4,3,12,11,10,9]=>92
[2,1,10,7,6,5,4,9,8,3,12,11]=>124
[2,1,12,7,6,5,4,9,8,11,10,3]=>188
[2,1,12,7,6,5,4,11,10,9,8,3]=>204
[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]=>220
[2,1,12,11,6,5,8,7,10,9,4,3]=>268
[2,1,12,11,6,5,10,9,8,7,4,3]=>284
[2,1,10,9,8,7,6,5,4,3,12,11]=>172
[2,1,12,9,8,7,6,5,4,11,10,3]=>236
[2,1,12,11,8,7,6,5,10,9,4,3]=>284
[2,1,12,11,10,7,6,9,8,5,4,3]=>316
[2,1,12,11,10,9,8,7,6,5,4,3]=>332
[4,3,2,1,6,5,8,7,10,9,12,11]=>28
[4,3,2,1,6,5,8,7,12,11,10,9]=>44
[4,3,2,1,6,5,10,9,8,7,12,11]=>44
[4,3,2,1,6,5,12,9,8,11,10,7]=>76
[4,3,2,1,6,5,12,11,10,9,8,7]=>92
[4,3,2,1,8,7,6,5,10,9,12,11]=>44
[4,3,2,1,8,7,6,5,12,11,10,9]=>60
[4,3,2,1,10,7,6,9,8,5,12,11]=>76
[4,3,2,1,12,7,6,9,8,11,10,5]=>124
[4,3,2,1,12,7,6,11,10,9,8,5]=>140
[4,3,2,1,10,9,8,7,6,5,12,11]=>92
[4,3,2,1,12,9,8,7,6,11,10,5]=>140
[4,3,2,1,12,11,8,7,10,9,6,5]=>172
[4,3,2,1,12,11,10,9,8,7,6,5]=>188
[6,3,2,5,4,1,8,7,10,9,12,11]=>60
[6,3,2,5,4,1,8,7,12,11,10,9]=>76
[6,3,2,5,4,1,10,9,8,7,12,11]=>76
[6,3,2,5,4,1,12,9,8,11,10,7]=>108
[6,3,2,5,4,1,12,11,10,9,8,7]=>124
[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]=>124
[10,3,2,5,4,7,6,9,8,1,12,11]=>172
[12,3,2,5,4,7,6,9,8,11,10,1]=>252
[12,3,2,5,4,7,6,11,10,9,8,1]=>268
[10,3,2,5,4,9,8,7,6,1,12,11]=>188
[12,3,2,5,4,9,8,7,6,11,10,1]=>268
[12,3,2,5,4,11,8,7,10,9,6,1]=>300
[12,3,2,5,4,11,10,9,8,7,6,1]=>316
[8,3,2,7,6,5,4,1,10,9,12,11]=>124
[8,3,2,7,6,5,4,1,12,11,10,9]=>140
[10,3,2,7,6,5,4,9,8,1,12,11]=>188
[12,3,2,7,6,5,4,9,8,11,10,1]=>268
[12,3,2,7,6,5,4,11,10,9,8,1]=>284
[10,3,2,9,6,5,8,7,4,1,12,11]=>220
[12,3,2,9,6,5,8,7,4,11,10,1]=>300
[12,3,2,11,6,5,8,7,10,9,4,1]=>348
[12,3,2,11,6,5,10,9,8,7,4,1]=>364
[10,3,2,9,8,7,6,5,4,1,12,11]=>236
[12,3,2,9,8,7,6,5,4,11,10,1]=>316
[12,3,2,11,8,7,6,5,10,9,4,1]=>364
[12,3,2,11,10,7,6,9,8,5,4,1]=>396
[12,3,2,11,10,9,8,7,6,5,4,1]=>412
[6,5,4,3,2,1,8,7,10,9,12,11]=>76
[6,5,4,3,2,1,8,7,12,11,10,9]=>92
[6,5,4,3,2,1,10,9,8,7,12,11]=>92
[6,5,4,3,2,1,12,9,8,11,10,7]=>124
[6,5,4,3,2,1,12,11,10,9,8,7]=>140
[8,5,4,3,2,7,6,1,10,9,12,11]=>124
[8,5,4,3,2,7,6,1,12,11,10,9]=>140
[10,5,4,3,2,7,6,9,8,1,12,11]=>188
[12,5,4,3,2,7,6,9,8,11,10,1]=>268
[12,5,4,3,2,7,6,11,10,9,8,1]=>284
[10,5,4,3,2,9,8,7,6,1,12,11]=>204
[12,5,4,3,2,9,8,7,6,11,10,1]=>284
[12,5,4,3,2,11,8,7,10,9,6,1]=>316
[12,5,4,3,2,11,10,9,8,7,6,1]=>332
[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]=>172
[10,7,4,3,6,5,2,9,8,1,12,11]=>220
[12,7,4,3,6,5,2,9,8,11,10,1]=>300
[12,7,4,3,6,5,2,11,10,9,8,1]=>316
[10,9,4,3,6,5,8,7,2,1,12,11]=>268
[12,9,4,3,6,5,8,7,2,11,10,1]=>348
[12,11,4,3,6,5,8,7,10,9,2,1]=>412
[12,11,4,3,6,5,10,9,8,7,2,1]=>428
[10,9,4,3,8,7,6,5,2,1,12,11]=>284
[12,9,4,3,8,7,6,5,2,11,10,1]=>364
[12,11,4,3,8,7,6,5,10,9,2,1]=>428
[12,11,4,3,10,7,6,9,8,5,2,1]=>460
[12,11,4,3,10,9,8,7,6,5,2,1]=>476
[8,7,6,5,4,3,2,1,10,9,12,11]=>172
[8,7,6,5,4,3,2,1,12,11,10,9]=>188
[10,7,6,5,4,3,2,9,8,1,12,11]=>236
[12,7,6,5,4,3,2,9,8,11,10,1]=>316
[12,7,6,5,4,3,2,11,10,9,8,1]=>332
[10,9,6,5,4,3,8,7,2,1,12,11]=>284
[12,9,6,5,4,3,8,7,2,11,10,1]=>364
[12,11,6,5,4,3,8,7,10,9,2,1]=>428
[12,11,6,5,4,3,10,9,8,7,2,1]=>444
[10,9,8,5,4,7,6,3,2,1,12,11]=>316
[12,9,8,5,4,7,6,3,2,11,10,1]=>396
[12,11,8,5,4,7,6,3,10,9,2,1]=>460
[12,11,10,5,4,7,6,9,8,3,2,1]=>508
[12,11,10,5,4,9,8,7,6,3,2,1]=>524
[10,9,8,7,6,5,4,3,2,1,12,11]=>332
[12,9,8,7,6,5,4,3,2,11,10,1]=>412
[12,11,8,7,6,5,4,3,10,9,2,1]=>476
[12,11,10,7,6,5,4,9,8,3,2,1]=>524
[12,11,10,9,6,5,8,7,4,3,2,1]=>556
[12,11,10,9,8,7,6,5,4,3,2,1]=>572
[2,4,6,8,10,12,1,3,5,7,9,11]=>182
[2,4,6,8,11,12,1,3,5,7,9,10]=>196
[2,4,6,9,10,12,1,3,5,7,8,11]=>196
[2,4,6,9,11,12,1,3,5,7,8,10]=>210
[2,4,6,10,11,12,1,3,5,7,8,9]=>226
[2,4,7,8,10,12,1,3,5,6,9,11]=>196
[2,4,7,8,11,12,1,3,5,6,9,10]=>210
[2,4,7,9,10,12,1,3,5,6,8,11]=>210
[2,4,7,9,11,12,1,3,5,6,8,10]=>224
[2,4,7,10,11,12,1,3,5,6,8,9]=>240
[2,4,8,9,10,12,1,3,5,6,7,11]=>226
[2,4,8,9,11,12,1,3,5,6,7,10]=>240
[2,4,8,10,11,12,1,3,5,6,7,9]=>256
[2,4,9,10,11,12,1,3,5,6,7,8]=>274
[2,5,6,8,10,12,1,3,4,7,9,11]=>196
[2,5,6,8,11,12,1,3,4,7,9,10]=>210
[2,5,6,9,10,12,1,3,4,7,8,11]=>210
[2,5,6,9,11,12,1,3,4,7,8,10]=>224
[2,5,6,10,11,12,1,3,4,7,8,9]=>240
[2,5,7,8,10,12,1,3,4,6,9,11]=>210
[2,5,7,8,11,12,1,3,4,6,9,10]=>224
[2,5,7,9,10,12,1,3,4,6,8,11]=>224
[2,5,7,9,11,12,1,3,4,6,8,10]=>238
[2,5,7,10,11,12,1,3,4,6,8,9]=>254
[2,5,8,9,10,12,1,3,4,6,7,11]=>240
[2,5,8,9,11,12,1,3,4,6,7,10]=>254
[2,5,8,10,11,12,1,3,4,6,7,9]=>270
[2,5,9,10,11,12,1,3,4,6,7,8]=>288
[2,6,7,8,10,12,1,3,4,5,9,11]=>226
[2,6,7,8,11,12,1,3,4,5,9,10]=>240
[2,6,7,9,10,12,1,3,4,5,8,11]=>240
[2,6,7,9,11,12,1,3,4,5,8,10]=>254
[2,6,7,10,11,12,1,3,4,5,8,9]=>270
[2,6,8,9,10,12,1,3,4,5,7,11]=>256
[2,6,8,9,11,12,1,3,4,5,7,10]=>270
[2,6,8,10,11,12,1,3,4,5,7,9]=>286
[2,6,9,10,11,12,1,3,4,5,7,8]=>304
[2,7,8,9,10,12,1,3,4,5,6,11]=>274
[2,7,8,9,11,12,1,3,4,5,6,10]=>288
[2,7,8,10,11,12,1,3,4,5,6,9]=>304
[2,7,9,10,11,12,1,3,4,5,6,8]=>322
[2,8,9,10,11,12,1,3,4,5,6,7]=>342
[3,4,6,8,10,12,1,2,5,7,9,11]=>196
[3,4,6,8,11,12,1,2,5,7,9,10]=>210
[3,4,6,9,10,12,1,2,5,7,8,11]=>210
[3,4,6,9,11,12,1,2,5,7,8,10]=>224
[3,4,6,10,11,12,1,2,5,7,8,9]=>240
[3,4,7,8,10,12,1,2,5,6,9,11]=>210
[3,4,7,8,11,12,1,2,5,6,9,10]=>224
[3,4,7,9,10,12,1,2,5,6,8,11]=>224
[3,4,7,9,11,12,1,2,5,6,8,10]=>238
[3,4,7,10,11,12,1,2,5,6,8,9]=>254
[3,4,8,9,10,12,1,2,5,6,7,11]=>240
[3,4,8,9,11,12,1,2,5,6,7,10]=>254
[3,4,8,10,11,12,1,2,5,6,7,9]=>270
[3,4,9,10,11,12,1,2,5,6,7,8]=>288
[3,5,6,8,10,12,1,2,4,7,9,11]=>210
[3,5,6,8,11,12,1,2,4,7,9,10]=>224
[3,5,6,9,10,12,1,2,4,7,8,11]=>224
[3,5,6,9,11,12,1,2,4,7,8,10]=>238
[3,5,6,10,11,12,1,2,4,7,8,9]=>254
[3,5,7,8,10,12,1,2,4,6,9,11]=>224
[3,5,7,8,11,12,1,2,4,6,9,10]=>238
[3,5,7,9,10,12,1,2,4,6,8,11]=>238
[3,5,7,9,11,12,1,2,4,6,8,10]=>252
[3,5,7,10,11,12,1,2,4,6,8,9]=>268
[3,5,8,9,10,12,1,2,4,6,7,11]=>254
[3,5,8,9,11,12,1,2,4,6,7,10]=>268
[3,5,8,10,11,12,1,2,4,6,7,9]=>284
[3,5,9,10,11,12,1,2,4,6,7,8]=>302
[3,6,7,8,10,12,1,2,4,5,9,11]=>240
[3,6,7,8,11,12,1,2,4,5,9,10]=>254
[3,6,7,9,10,12,1,2,4,5,8,11]=>254
[3,6,7,9,11,12,1,2,4,5,8,10]=>268
[3,6,7,10,11,12,1,2,4,5,8,9]=>284
[3,6,8,9,10,12,1,2,4,5,7,11]=>270
[3,6,8,9,11,12,1,2,4,5,7,10]=>284
[3,6,8,10,11,12,1,2,4,5,7,9]=>300
[3,6,9,10,11,12,1,2,4,5,7,8]=>318
[3,7,8,9,10,12,1,2,4,5,6,11]=>288
[3,7,8,9,11,12,1,2,4,5,6,10]=>302
[3,7,8,10,11,12,1,2,4,5,6,9]=>318
[3,7,9,10,11,12,1,2,4,5,6,8]=>336
[3,8,9,10,11,12,1,2,4,5,6,7]=>356
[4,5,6,8,10,12,1,2,3,7,9,11]=>226
[4,5,6,8,11,12,1,2,3,7,9,10]=>240
[4,5,6,9,10,12,1,2,3,7,8,11]=>240
[4,5,6,9,11,12,1,2,3,7,8,10]=>254
[4,5,6,10,11,12,1,2,3,7,8,9]=>270
[4,5,7,8,10,12,1,2,3,6,9,11]=>240
[4,5,7,8,11,12,1,2,3,6,9,10]=>254
[4,5,7,9,10,12,1,2,3,6,8,11]=>254
[4,5,7,9,11,12,1,2,3,6,8,10]=>268
[4,5,7,10,11,12,1,2,3,6,8,9]=>284
[4,5,8,9,10,12,1,2,3,6,7,11]=>270
[4,5,8,9,11,12,1,2,3,6,7,10]=>284
[4,5,8,10,11,12,1,2,3,6,7,9]=>300
[4,5,9,10,11,12,1,2,3,6,7,8]=>318
[4,6,7,8,10,12,1,2,3,5,9,11]=>256
[4,6,7,8,11,12,1,2,3,5,9,10]=>270
[4,6,7,9,10,12,1,2,3,5,8,11]=>270
[4,6,7,9,11,12,1,2,3,5,8,10]=>284
[4,6,7,10,11,12,1,2,3,5,8,9]=>300
[4,6,8,9,10,12,1,2,3,5,7,11]=>286
[4,6,8,9,11,12,1,2,3,5,7,10]=>300
[4,6,8,10,11,12,1,2,3,5,7,9]=>316
[4,6,9,10,11,12,1,2,3,5,7,8]=>334
[4,7,8,9,10,12,1,2,3,5,6,11]=>304
[4,7,8,9,11,12,1,2,3,5,6,10]=>318
[4,7,8,10,11,12,1,2,3,5,6,9]=>334
[4,7,9,10,11,12,1,2,3,5,6,8]=>352
[4,8,9,10,11,12,1,2,3,5,6,7]=>372
[5,6,7,8,10,12,1,2,3,4,9,11]=>274
[5,6,7,8,11,12,1,2,3,4,9,10]=>288
[5,6,7,9,10,12,1,2,3,4,8,11]=>288
[5,6,7,9,11,12,1,2,3,4,8,10]=>302
[5,6,7,10,11,12,1,2,3,4,8,9]=>318
[5,6,8,9,10,12,1,2,3,4,7,11]=>304
[5,6,8,9,11,12,1,2,3,4,7,10]=>318
[5,6,8,10,11,12,1,2,3,4,7,9]=>334
[5,6,9,10,11,12,1,2,3,4,7,8]=>352
[5,7,8,9,10,12,1,2,3,4,6,11]=>322
[5,7,8,9,11,12,1,2,3,4,6,10]=>336
[5,7,8,10,11,12,1,2,3,4,6,9]=>352
[5,7,9,10,11,12,1,2,3,4,6,8]=>370
[5,8,9,10,11,12,1,2,3,4,6,7]=>390
[6,7,8,9,10,12,1,2,3,4,5,11]=>342
[6,7,8,9,11,12,1,2,3,4,5,10]=>356
[6,7,8,10,11,12,1,2,3,4,5,9]=>372
[6,7,9,10,11,12,1,2,3,4,5,8]=>390
[6,8,9,10,11,12,1,2,3,4,5,7]=>410
[7,8,9,10,11,12,1,2,3,4,5,6]=>432
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Description
The spearman's rho of a permutation and the identity permutation.
This is, for a permutation $\pi$ of $n$, given by $\sum_{i=1}^n (\pi(i)−i)^2$.
This is, for a permutation $\pi$ of $n$, given by $\sum_{i=1}^n (\pi(i)−i)^2$.
References
[1] Chatterjee, S., Diaconis, P. A central limit theorem for a new statistic on permutations arXiv:1608.01666
Code
def statistic(pi):
return sum( (pi(i) - i)^2 for i in [1 .. len(pi)])
Created
May 31, 2017 at 10:52 by Christian Stump
Updated
May 12, 2020 at 15:34 by Martin Rubey
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