Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
St000078: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>1
[1,2]=>[1,2]=>1
[2,1]=>[1,2]=>1
[1,2,3]=>[1,2,3]=>1
[1,3,2]=>[1,2,3]=>1
[2,1,3]=>[1,2,3]=>1
[2,3,1]=>[1,2,3]=>1
[3,1,2]=>[1,3,2]=>2
[3,2,1]=>[1,3,2]=>2
[1,2,3,4]=>[1,2,3,4]=>1
[1,2,4,3]=>[1,2,3,4]=>1
[1,3,2,4]=>[1,2,3,4]=>1
[1,3,4,2]=>[1,2,3,4]=>1
[1,4,2,3]=>[1,2,4,3]=>3
[1,4,3,2]=>[1,2,4,3]=>3
[2,1,3,4]=>[1,2,3,4]=>1
[2,1,4,3]=>[1,2,3,4]=>1
[2,3,1,4]=>[1,2,3,4]=>1
[2,3,4,1]=>[1,2,3,4]=>1
[2,4,1,3]=>[1,2,4,3]=>3
[2,4,3,1]=>[1,2,4,3]=>3
[3,1,2,4]=>[1,3,2,4]=>2
[3,1,4,2]=>[1,3,4,2]=>3
[3,2,1,4]=>[1,3,2,4]=>2
[3,2,4,1]=>[1,3,4,2]=>3
[3,4,1,2]=>[1,3,2,4]=>2
[3,4,2,1]=>[1,3,2,4]=>2
[4,1,2,3]=>[1,4,3,2]=>5
[4,1,3,2]=>[1,4,2,3]=>3
[4,2,1,3]=>[1,4,3,2]=>5
[4,2,3,1]=>[1,4,2,3]=>3
[4,3,1,2]=>[1,4,2,3]=>3
[4,3,2,1]=>[1,4,2,3]=>3
[1,2,3,4,5]=>[1,2,3,4,5]=>1
[1,2,3,5,4]=>[1,2,3,4,5]=>1
[1,2,4,3,5]=>[1,2,3,4,5]=>1
[1,2,4,5,3]=>[1,2,3,4,5]=>1
[1,2,5,3,4]=>[1,2,3,5,4]=>4
[1,2,5,4,3]=>[1,2,3,5,4]=>4
[1,3,2,4,5]=>[1,2,3,4,5]=>1
[1,3,2,5,4]=>[1,2,3,4,5]=>1
[1,3,4,2,5]=>[1,2,3,4,5]=>1
[1,3,4,5,2]=>[1,2,3,4,5]=>1
[1,3,5,2,4]=>[1,2,3,5,4]=>4
[1,3,5,4,2]=>[1,2,3,5,4]=>4
[1,4,2,3,5]=>[1,2,4,3,5]=>3
[1,4,2,5,3]=>[1,2,4,5,3]=>6
[1,4,3,2,5]=>[1,2,4,3,5]=>3
[1,4,3,5,2]=>[1,2,4,5,3]=>6
[1,4,5,2,3]=>[1,2,4,3,5]=>3
[1,4,5,3,2]=>[1,2,4,3,5]=>3
[1,5,2,3,4]=>[1,2,5,4,3]=>14
[1,5,2,4,3]=>[1,2,5,3,4]=>6
[1,5,3,2,4]=>[1,2,5,4,3]=>14
[1,5,3,4,2]=>[1,2,5,3,4]=>6
[1,5,4,2,3]=>[1,2,5,3,4]=>6
[1,5,4,3,2]=>[1,2,5,3,4]=>6
[2,1,3,4,5]=>[1,2,3,4,5]=>1
[2,1,3,5,4]=>[1,2,3,4,5]=>1
[2,1,4,3,5]=>[1,2,3,4,5]=>1
[2,1,4,5,3]=>[1,2,3,4,5]=>1
[2,1,5,3,4]=>[1,2,3,5,4]=>4
[2,1,5,4,3]=>[1,2,3,5,4]=>4
[2,3,1,4,5]=>[1,2,3,4,5]=>1
[2,3,1,5,4]=>[1,2,3,4,5]=>1
[2,3,4,1,5]=>[1,2,3,4,5]=>1
[2,3,4,5,1]=>[1,2,3,4,5]=>1
[2,3,5,1,4]=>[1,2,3,5,4]=>4
[2,3,5,4,1]=>[1,2,3,5,4]=>4
[2,4,1,3,5]=>[1,2,4,3,5]=>3
[2,4,1,5,3]=>[1,2,4,5,3]=>6
[2,4,3,1,5]=>[1,2,4,3,5]=>3
[2,4,3,5,1]=>[1,2,4,5,3]=>6
[2,4,5,1,3]=>[1,2,4,3,5]=>3
[2,4,5,3,1]=>[1,2,4,3,5]=>3
[2,5,1,3,4]=>[1,2,5,4,3]=>14
[2,5,1,4,3]=>[1,2,5,3,4]=>6
[2,5,3,1,4]=>[1,2,5,4,3]=>14
[2,5,3,4,1]=>[1,2,5,3,4]=>6
[2,5,4,1,3]=>[1,2,5,3,4]=>6
[2,5,4,3,1]=>[1,2,5,3,4]=>6
[3,1,2,4,5]=>[1,3,2,4,5]=>2
[3,1,2,5,4]=>[1,3,2,4,5]=>2
[3,1,4,2,5]=>[1,3,4,2,5]=>3
[3,1,4,5,2]=>[1,3,4,5,2]=>4
[3,1,5,2,4]=>[1,3,5,4,2]=>11
[3,1,5,4,2]=>[1,3,5,2,4]=>8
[3,2,1,4,5]=>[1,3,2,4,5]=>2
[3,2,1,5,4]=>[1,3,2,4,5]=>2
[3,2,4,1,5]=>[1,3,4,2,5]=>3
[3,2,4,5,1]=>[1,3,4,5,2]=>4
[3,2,5,1,4]=>[1,3,5,4,2]=>11
[3,2,5,4,1]=>[1,3,5,2,4]=>8
[3,4,1,2,5]=>[1,3,2,4,5]=>2
[3,4,1,5,2]=>[1,3,2,4,5]=>2
[3,4,2,1,5]=>[1,3,2,4,5]=>2
[3,4,2,5,1]=>[1,3,2,4,5]=>2
[3,4,5,1,2]=>[1,3,5,2,4]=>8
[3,4,5,2,1]=>[1,3,5,2,4]=>8
[3,5,1,2,4]=>[1,3,2,5,4]=>13
[3,5,1,4,2]=>[1,3,2,5,4]=>13
[3,5,2,1,4]=>[1,3,2,5,4]=>13
[3,5,2,4,1]=>[1,3,2,5,4]=>13
[3,5,4,1,2]=>[1,3,4,2,5]=>3
[3,5,4,2,1]=>[1,3,4,2,5]=>3
[4,1,2,3,5]=>[1,4,3,2,5]=>5
[4,1,2,5,3]=>[1,4,5,3,2]=>9
[4,1,3,2,5]=>[1,4,2,3,5]=>3
[4,1,3,5,2]=>[1,4,5,2,3]=>6
[4,1,5,2,3]=>[1,4,2,3,5]=>3
[4,1,5,3,2]=>[1,4,3,5,2]=>7
[4,2,1,3,5]=>[1,4,3,2,5]=>5
[4,2,1,5,3]=>[1,4,5,3,2]=>9
[4,2,3,1,5]=>[1,4,2,3,5]=>3
[4,2,3,5,1]=>[1,4,5,2,3]=>6
[4,2,5,1,3]=>[1,4,2,3,5]=>3
[4,2,5,3,1]=>[1,4,3,5,2]=>7
[4,3,1,2,5]=>[1,4,2,3,5]=>3
[4,3,1,5,2]=>[1,4,5,2,3]=>6
[4,3,2,1,5]=>[1,4,2,3,5]=>3
[4,3,2,5,1]=>[1,4,5,2,3]=>6
[4,3,5,1,2]=>[1,4,2,3,5]=>3
[4,3,5,2,1]=>[1,4,2,3,5]=>3
[4,5,1,2,3]=>[1,4,2,5,3]=>8
[4,5,1,3,2]=>[1,4,3,2,5]=>5
[4,5,2,1,3]=>[1,4,2,5,3]=>8
[4,5,2,3,1]=>[1,4,3,2,5]=>5
[4,5,3,1,2]=>[1,4,2,5,3]=>8
[4,5,3,2,1]=>[1,4,2,5,3]=>8
[5,1,2,3,4]=>[1,5,4,3,2]=>14
[5,1,2,4,3]=>[1,5,3,2,4]=>7
[5,1,3,2,4]=>[1,5,4,2,3]=>9
[5,1,3,4,2]=>[1,5,2,3,4]=>4
[5,1,4,2,3]=>[1,5,3,4,2]=>10
[5,1,4,3,2]=>[1,5,2,3,4]=>4
[5,2,1,3,4]=>[1,5,4,3,2]=>14
[5,2,1,4,3]=>[1,5,3,2,4]=>7
[5,2,3,1,4]=>[1,5,4,2,3]=>9
[5,2,3,4,1]=>[1,5,2,3,4]=>4
[5,2,4,1,3]=>[1,5,3,4,2]=>10
[5,2,4,3,1]=>[1,5,2,3,4]=>4
[5,3,1,2,4]=>[1,5,4,2,3]=>9
[5,3,1,4,2]=>[1,5,2,3,4]=>4
[5,3,2,1,4]=>[1,5,4,2,3]=>9
[5,3,2,4,1]=>[1,5,2,3,4]=>4
[5,3,4,1,2]=>[1,5,2,3,4]=>4
[5,3,4,2,1]=>[1,5,2,3,4]=>4
[5,4,1,2,3]=>[1,5,3,2,4]=>7
[5,4,1,3,2]=>[1,5,2,4,3]=>11
[5,4,2,1,3]=>[1,5,3,2,4]=>7
[5,4,2,3,1]=>[1,5,2,4,3]=>11
[5,4,3,1,2]=>[1,5,2,4,3]=>11
[5,4,3,2,1]=>[1,5,2,4,3]=>11
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>1
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>1
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>1
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>1
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>5
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>5
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>1
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>1
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>1
[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>1
[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>5
[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>5
[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>4
[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>10
[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>4
[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>10
[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>4
[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>4
[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>30
[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>10
[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>30
[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>10
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>10
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>10
[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>1
[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>1
[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>1
[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>1
[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>5
[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>5
[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>1
[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>1
[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>1
[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>1
[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>5
[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>5
[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>4
[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>10
[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>4
[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>10
[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>4
[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>4
[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>30
[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>10
[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>30
[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>10
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>10
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>10
[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>3
[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>3
[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>6
[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>10
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>35
[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>20
[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>3
[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>3
[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>6
[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>10
[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>35
[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>20
[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>3
[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>3
[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>3
[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>3
[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>20
[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>20
[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>29
[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>29
[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>29
[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>29
[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>6
[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>6
[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>14
[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>40
[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>6
[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>20
[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>6
[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>25
[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>14
[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>40
[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>6
[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>20
[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>6
[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>25
[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>6
[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>20
[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>6
[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>20
[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>6
[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>6
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>20
[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>14
[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>20
[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>14
[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>20
[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>20
[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>84
[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>25
[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>40
[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>10
[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>46
[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>10
[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>84
[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>25
[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>40
[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>10
[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>46
[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>10
[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>40
[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>10
[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>40
[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>10
[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>10
[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>10
[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>25
[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>35
[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>25
[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>35
[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>35
[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>35
[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>1
[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>1
[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>1
[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>1
[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>5
[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>5
[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>1
[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>1
[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>1
[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>1
[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>5
[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>5
[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>4
[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>10
[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>4
[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>10
[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>4
[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>4
[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>30
[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>10
[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>30
[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>10
[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>10
[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>10
[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>1
[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>1
[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>1
[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>1
[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>5
[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>5
[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>1
[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>1
[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>1
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>1
[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>5
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>5
[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>4
[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>10
[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>4
[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>10
[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>4
[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>4
[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>30
[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>10
[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>30
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>10
[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>10
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>10
[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>3
[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>3
[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>6
[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>10
[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>35
[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>20
[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>3
[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>3
[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>6
[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>10
[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>35
[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>20
[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>3
[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>3
[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>3
[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>3
[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>20
[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>20
[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>29
[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>29
[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>29
[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>29
[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>6
[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>6
[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>14
[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>40
[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>6
[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>20
[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>6
[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>25
[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>14
[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>40
[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>6
[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>20
[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>6
[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>25
[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>6
[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>20
[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>6
[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>20
[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>6
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>6
[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>20
[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>14
[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>20
[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>14
[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>20
[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>20
[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>84
[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>25
[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>40
[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>10
[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>46
[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>10
[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>84
[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>25
[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>40
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>10
[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>46
[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>10
[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>40
[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>10
[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>40
[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>10
[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>10
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>10
[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>25
[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>35
[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>25
[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>35
[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>35
[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>35
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>2
[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>2
[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>2
[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>2
[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>15
[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>15
[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>3
[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>3
[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>4
[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>5
[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>19
[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>15
[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>11
[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>26
[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>8
[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>20
[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>8
[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>14
[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>58
[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>21
[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>44
[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>15
[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>27
[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>15
[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>2
[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>2
[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>2
[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>2
[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>15
[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>15
[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>3
[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>3
[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>4
[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>5
[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>19
[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>15
[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>11
[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>26
[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>8
[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>20
[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>8
[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>14
[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>58
[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>21
[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>44
[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>15
[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>27
[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>15
[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>2
[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>2
[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>2
[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>2
[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>15
[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>15
[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>2
[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>2
[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>2
[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>2
[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>15
[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>15
[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>8
[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>20
[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>8
[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>20
[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>8
[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>8
[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>44
[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>15
[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>44
[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>15
[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>15
[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>15
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>13
[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>32
[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>13
[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>32
[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>13
[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>13
[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>13
[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>32
[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>13
[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>32
[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>13
[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>13
[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>3
[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>3
[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>3
[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>3
[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>15
[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>15
[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>21
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>74
[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>21
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>74
[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>74
[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>74
[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>121
[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>32
[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>121
[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>32
[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>32
[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>32
[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>121
[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>32
[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>121
[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>32
[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>32
[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>32
[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>26
[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>26
[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>26
[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>26
[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>4
[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>4
[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>34
[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>11
[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>34
[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>11
[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>34
[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>34
[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>5
[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>5
[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>9
[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>14
[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>37
[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>23
[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>3
[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>3
[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>6
[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>10
[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>26
[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>15
[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>3
[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>3
[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>7
[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>9
[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>31
[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>15
[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>26
[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>26
[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>53
[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>40
[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>6
[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>12
[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>5
[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>5
[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>9
[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>14
[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>37
[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>23
[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>3
[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>3
[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>6
[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>10
[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>26
[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>15
[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>3
[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>3
[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>7
[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>9
[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>31
[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>15
[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>26
[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>26
[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>53
[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>40
[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>6
[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>12
[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>3
[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>3
[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>6
[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>10
[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>26
[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>15
[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>3
[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>3
[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>6
[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>10
[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>26
[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>15
[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>3
[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>3
[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>3
[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>3
[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>15
[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>15
[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>26
[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>26
[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>26
[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>26
[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>6
[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>6
[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>8
[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>15
[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>5
[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>5
[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>23
[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>38
[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>8
[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>15
[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>5
[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>5
[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>23
[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>38
[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>8
[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>15
[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>8
[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>15
[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>38
[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>38
[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>8
[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>8
[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>8
[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>8
[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>40
[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>40
[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>74
[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>34
[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>67
[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>67
[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>15
[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>9
[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>74
[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>34
[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>67
[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>67
[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>15
[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>9
[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>74
[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>34
[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>74
[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>34
[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>15
[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>15
[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>34
[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>34
[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>34
[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>34
[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>7
[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>7
[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>14
[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>28
[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>7
[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>16
[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>7
[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>23
[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>9
[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>19
[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>4
[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>10
[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>4
[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>16
[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>10
[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>22
[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>4
[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>10
[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>4
[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>13
[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>32
[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>9
[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>15
[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>19
[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>15
[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>24
[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>14
[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>28
[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>7
[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>16
[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>7
[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>23
[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>9
[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>19
[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>4
[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>10
[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>4
[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>16
[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>10
[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>22
[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>4
[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>10
[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>4
[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>13
[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>32
[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>9
[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>15
[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>19
[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>15
[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>24
[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>9
[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>19
[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>4
[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>10
[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>4
[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>16
[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>9
[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>19
[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>4
[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>10
[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>4
[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>16
[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>4
[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>10
[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>4
[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>10
[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>4
[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>4
[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>15
[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>9
[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>15
[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>9
[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>15
[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>15
[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>7
[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>16
[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>11
[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>26
[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>21
[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>7
[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>7
[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>16
[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>11
[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>26
[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>21
[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>7
[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>11
[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>26
[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>11
[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>26
[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>21
[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>21
[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>11
[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>24
[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>11
[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>24
[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>11
[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>11
[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>40
[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>23
[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>44
[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>14
[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>20
[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>40
[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>40
[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>23
[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>44
[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>14
[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>20
[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>40
[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>44
[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>23
[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>44
[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>23
[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>20
[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>20
[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>20
[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>10
[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>20
[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>10
[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>20
[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>20
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>42
[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>19
[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>23
[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>9
[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>32
[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>9
[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>28
[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>12
[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>14
[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>5
[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>22
[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>5
[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>32
[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>13
[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>14
[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>5
[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>17
[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>5
[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>12
[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>43
[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>26
[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>19
[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>32
[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>19
[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>42
[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>19
[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>23
[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>9
[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>32
[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>9
[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>28
[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>12
[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>14
[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>5
[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>22
[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>5
[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>32
[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>13
[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>14
[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>5
[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>17
[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>5
[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>12
[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>43
[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>26
[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>19
[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>32
[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>19
[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>28
[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>12
[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>14
[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>5
[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>22
[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>5
[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>28
[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>12
[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>14
[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>5
[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>22
[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>5
[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>14
[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>5
[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>14
[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>5
[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>5
[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>5
[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>12
[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>19
[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>12
[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>19
[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>19
[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>19
[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>23
[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>9
[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>37
[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>14
[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>9
[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>27
[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>23
[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>9
[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>37
[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>14
[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>9
[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>27
[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>37
[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>14
[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>37
[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>14
[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>27
[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>27
[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>32
[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>14
[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>32
[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>14
[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>14
[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>14
[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>31
[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>53
[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>19
[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>58
[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>53
[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>26
[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>31
[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>53
[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>19
[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>58
[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>53
[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>26
[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>31
[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>58
[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>31
[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>58
[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>26
[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>26
[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>13
[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>26
[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>13
[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>26
[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>26
[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>26
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>6
[1,2,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>6
[1,2,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>1
[1,2,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>1
[1,2,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>6
[1,2,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>6
[1,2,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>5
[1,2,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>15
[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>5
[1,2,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>15
[1,2,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>5
[1,2,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>5
[1,2,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>55
[1,2,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>15
[1,2,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>55
[1,2,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>15
[1,2,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>15
[1,2,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>15
[1,2,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>1
[1,2,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>1
[1,2,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>1
[1,2,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>6
[1,2,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>6
[1,2,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>1
[1,2,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>1
[1,2,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>1
[1,2,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>6
[1,2,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>6
[1,2,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>5
[1,2,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>15
[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>5
[1,2,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>15
[1,2,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>5
[1,2,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>5
[1,2,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>55
[1,2,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>15
[1,2,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>55
[1,2,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>15
[1,2,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>15
[1,2,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>15
[1,2,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>4
[1,2,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>4
[1,2,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>10
[1,2,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>20
[1,2,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>85
[1,2,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>40
[1,2,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>4
[1,2,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>4
[1,2,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>10
[1,2,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>20
[1,2,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>85
[1,2,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>40
[1,2,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>4
[1,2,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>4
[1,2,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>4
[1,2,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>4
[1,2,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>40
[1,2,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>40
[1,2,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>54
[1,2,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>54
[1,2,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>54
[1,2,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>54
[1,2,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>10
[1,2,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>10
[1,2,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>30
[1,2,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>125
[1,2,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>10
[1,2,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>50
[1,2,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>10
[1,2,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>65
[1,2,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>30
[1,2,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>125
[1,2,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>10
[1,2,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>50
[1,2,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>10
[1,2,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>65
[1,2,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>10
[1,2,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>50
[1,2,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>10
[1,2,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>50
[1,2,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>10
[1,2,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>10
[1,2,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>40
[1,2,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>30
[1,2,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>40
[1,2,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>30
[1,2,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>40
[1,2,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>40
[1,2,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>330
[1,2,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>65
[1,2,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>125
[1,2,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>20
[1,2,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>146
[1,2,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>20
[1,2,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>330
[1,2,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>65
[1,2,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>125
[1,2,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>20
[1,2,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>146
[1,2,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>20
[1,2,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>125
[1,2,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>20
[1,2,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>125
[1,2,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>20
[1,2,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>20
[1,2,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>20
[1,2,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>65
[1,2,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>85
[1,2,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>65
[1,2,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>85
[1,2,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>85
[1,2,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>85
[1,3,2,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,3,2,4,5,7,6]=>[1,2,3,4,5,6,7]=>1
[1,3,2,4,6,5,7]=>[1,2,3,4,5,6,7]=>1
[1,3,2,4,6,7,5]=>[1,2,3,4,5,6,7]=>1
[1,3,2,4,7,5,6]=>[1,2,3,4,5,7,6]=>6
[1,3,2,4,7,6,5]=>[1,2,3,4,5,7,6]=>6
[1,3,2,5,4,6,7]=>[1,2,3,4,5,6,7]=>1
[1,3,2,5,4,7,6]=>[1,2,3,4,5,6,7]=>1
[1,3,2,5,6,4,7]=>[1,2,3,4,5,6,7]=>1
[1,3,2,5,6,7,4]=>[1,2,3,4,5,6,7]=>1
[1,3,2,5,7,4,6]=>[1,2,3,4,5,7,6]=>6
[1,3,2,5,7,6,4]=>[1,2,3,4,5,7,6]=>6
[1,3,2,6,4,5,7]=>[1,2,3,4,6,5,7]=>5
[1,3,2,6,4,7,5]=>[1,2,3,4,6,7,5]=>15
[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>5
[1,3,2,6,5,7,4]=>[1,2,3,4,6,7,5]=>15
[1,3,2,6,7,4,5]=>[1,2,3,4,6,5,7]=>5
[1,3,2,6,7,5,4]=>[1,2,3,4,6,5,7]=>5
[1,3,2,7,4,5,6]=>[1,2,3,4,7,6,5]=>55
[1,3,2,7,4,6,5]=>[1,2,3,4,7,5,6]=>15
[1,3,2,7,5,4,6]=>[1,2,3,4,7,6,5]=>55
[1,3,2,7,5,6,4]=>[1,2,3,4,7,5,6]=>15
[1,3,2,7,6,4,5]=>[1,2,3,4,7,5,6]=>15
[1,3,2,7,6,5,4]=>[1,2,3,4,7,5,6]=>15
[1,3,4,2,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,3,4,2,5,7,6]=>[1,2,3,4,5,6,7]=>1
[1,3,4,2,6,5,7]=>[1,2,3,4,5,6,7]=>1
[1,3,4,2,6,7,5]=>[1,2,3,4,5,6,7]=>1
[1,3,4,2,7,5,6]=>[1,2,3,4,5,7,6]=>6
[1,3,4,2,7,6,5]=>[1,2,3,4,5,7,6]=>6
[1,3,4,5,2,6,7]=>[1,2,3,4,5,6,7]=>1
[1,3,4,5,2,7,6]=>[1,2,3,4,5,6,7]=>1
[1,3,4,5,6,2,7]=>[1,2,3,4,5,6,7]=>1
[1,3,4,5,6,7,2]=>[1,2,3,4,5,6,7]=>1
[1,3,4,5,7,2,6]=>[1,2,3,4,5,7,6]=>6
[1,3,4,5,7,6,2]=>[1,2,3,4,5,7,6]=>6
[1,3,4,6,2,5,7]=>[1,2,3,4,6,5,7]=>5
[1,3,4,6,2,7,5]=>[1,2,3,4,6,7,5]=>15
[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>5
[1,3,4,6,5,7,2]=>[1,2,3,4,6,7,5]=>15
[1,3,4,6,7,2,5]=>[1,2,3,4,6,5,7]=>5
[1,3,4,6,7,5,2]=>[1,2,3,4,6,5,7]=>5
[1,3,4,7,2,5,6]=>[1,2,3,4,7,6,5]=>55
[1,3,4,7,2,6,5]=>[1,2,3,4,7,5,6]=>15
[1,3,4,7,5,2,6]=>[1,2,3,4,7,6,5]=>55
[1,3,4,7,5,6,2]=>[1,2,3,4,7,5,6]=>15
[1,3,4,7,6,2,5]=>[1,2,3,4,7,5,6]=>15
[1,3,4,7,6,5,2]=>[1,2,3,4,7,5,6]=>15
[1,3,5,2,4,6,7]=>[1,2,3,5,4,6,7]=>4
[1,3,5,2,4,7,6]=>[1,2,3,5,4,6,7]=>4
[1,3,5,2,6,4,7]=>[1,2,3,5,6,4,7]=>10
[1,3,5,2,6,7,4]=>[1,2,3,5,6,7,4]=>20
[1,3,5,2,7,4,6]=>[1,2,3,5,7,6,4]=>85
[1,3,5,2,7,6,4]=>[1,2,3,5,7,4,6]=>40
[1,3,5,4,2,6,7]=>[1,2,3,5,4,6,7]=>4
[1,3,5,4,2,7,6]=>[1,2,3,5,4,6,7]=>4
[1,3,5,4,6,2,7]=>[1,2,3,5,6,4,7]=>10
[1,3,5,4,6,7,2]=>[1,2,3,5,6,7,4]=>20
[1,3,5,4,7,2,6]=>[1,2,3,5,7,6,4]=>85
[1,3,5,4,7,6,2]=>[1,2,3,5,7,4,6]=>40
[1,3,5,6,2,4,7]=>[1,2,3,5,4,6,7]=>4
[1,3,5,6,2,7,4]=>[1,2,3,5,4,6,7]=>4
[1,3,5,6,4,2,7]=>[1,2,3,5,4,6,7]=>4
[1,3,5,6,4,7,2]=>[1,2,3,5,4,6,7]=>4
[1,3,5,6,7,2,4]=>[1,2,3,5,7,4,6]=>40
[1,3,5,6,7,4,2]=>[1,2,3,5,7,4,6]=>40
[1,3,5,7,2,4,6]=>[1,2,3,5,4,7,6]=>54
[1,3,5,7,2,6,4]=>[1,2,3,5,4,7,6]=>54
[1,3,5,7,4,2,6]=>[1,2,3,5,4,7,6]=>54
[1,3,5,7,4,6,2]=>[1,2,3,5,4,7,6]=>54
[1,3,5,7,6,2,4]=>[1,2,3,5,6,4,7]=>10
[1,3,5,7,6,4,2]=>[1,2,3,5,6,4,7]=>10
[1,3,6,2,4,5,7]=>[1,2,3,6,5,4,7]=>30
[1,3,6,2,4,7,5]=>[1,2,3,6,7,5,4]=>125
[1,3,6,2,5,4,7]=>[1,2,3,6,4,5,7]=>10
[1,3,6,2,5,7,4]=>[1,2,3,6,7,4,5]=>50
[1,3,6,2,7,4,5]=>[1,2,3,6,4,5,7]=>10
[1,3,6,2,7,5,4]=>[1,2,3,6,5,7,4]=>65
[1,3,6,4,2,5,7]=>[1,2,3,6,5,4,7]=>30
[1,3,6,4,2,7,5]=>[1,2,3,6,7,5,4]=>125
[1,3,6,4,5,2,7]=>[1,2,3,6,4,5,7]=>10
[1,3,6,4,5,7,2]=>[1,2,3,6,7,4,5]=>50
[1,3,6,4,7,2,5]=>[1,2,3,6,4,5,7]=>10
[1,3,6,4,7,5,2]=>[1,2,3,6,5,7,4]=>65
[1,3,6,5,2,4,7]=>[1,2,3,6,4,5,7]=>10
[1,3,6,5,2,7,4]=>[1,2,3,6,7,4,5]=>50
[1,3,6,5,4,2,7]=>[1,2,3,6,4,5,7]=>10
[1,3,6,5,4,7,2]=>[1,2,3,6,7,4,5]=>50
[1,3,6,5,7,2,4]=>[1,2,3,6,4,5,7]=>10
[1,3,6,5,7,4,2]=>[1,2,3,6,4,5,7]=>10
[1,3,6,7,2,4,5]=>[1,2,3,6,4,7,5]=>40
[1,3,6,7,2,5,4]=>[1,2,3,6,5,4,7]=>30
[1,3,6,7,4,2,5]=>[1,2,3,6,4,7,5]=>40
[1,3,6,7,4,5,2]=>[1,2,3,6,5,4,7]=>30
[1,3,6,7,5,2,4]=>[1,2,3,6,4,7,5]=>40
[1,3,6,7,5,4,2]=>[1,2,3,6,4,7,5]=>40
[1,3,7,2,4,5,6]=>[1,2,3,7,6,5,4]=>330
[1,3,7,2,4,6,5]=>[1,2,3,7,5,4,6]=>65
[1,3,7,2,5,4,6]=>[1,2,3,7,6,4,5]=>125
[1,3,7,2,5,6,4]=>[1,2,3,7,4,5,6]=>20
[1,3,7,2,6,4,5]=>[1,2,3,7,5,6,4]=>146
[1,3,7,2,6,5,4]=>[1,2,3,7,4,5,6]=>20
[1,3,7,4,2,5,6]=>[1,2,3,7,6,5,4]=>330
[1,3,7,4,2,6,5]=>[1,2,3,7,5,4,6]=>65
[1,3,7,4,5,2,6]=>[1,2,3,7,6,4,5]=>125
[1,3,7,4,5,6,2]=>[1,2,3,7,4,5,6]=>20
[1,3,7,4,6,2,5]=>[1,2,3,7,5,6,4]=>146
[1,3,7,4,6,5,2]=>[1,2,3,7,4,5,6]=>20
[1,3,7,5,2,4,6]=>[1,2,3,7,6,4,5]=>125
[1,3,7,5,2,6,4]=>[1,2,3,7,4,5,6]=>20
[1,3,7,5,4,2,6]=>[1,2,3,7,6,4,5]=>125
[1,3,7,5,4,6,2]=>[1,2,3,7,4,5,6]=>20
[1,3,7,5,6,2,4]=>[1,2,3,7,4,5,6]=>20
[1,3,7,5,6,4,2]=>[1,2,3,7,4,5,6]=>20
[1,3,7,6,2,4,5]=>[1,2,3,7,5,4,6]=>65
[1,3,7,6,2,5,4]=>[1,2,3,7,4,6,5]=>85
[1,3,7,6,4,2,5]=>[1,2,3,7,5,4,6]=>65
[1,3,7,6,4,5,2]=>[1,2,3,7,4,6,5]=>85
[1,3,7,6,5,2,4]=>[1,2,3,7,4,6,5]=>85
[1,3,7,6,5,4,2]=>[1,2,3,7,4,6,5]=>85
[1,4,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>3
[1,4,2,3,5,7,6]=>[1,2,4,3,5,6,7]=>3
[1,4,2,3,6,5,7]=>[1,2,4,3,5,6,7]=>3
[1,4,2,3,6,7,5]=>[1,2,4,3,5,6,7]=>3
[1,4,2,3,7,5,6]=>[1,2,4,3,5,7,6]=>32
[1,4,2,3,7,6,5]=>[1,2,4,3,5,7,6]=>32
[1,4,2,5,3,6,7]=>[1,2,4,5,3,6,7]=>6
[1,4,2,5,3,7,6]=>[1,2,4,5,3,6,7]=>6
[1,4,2,5,6,3,7]=>[1,2,4,5,6,3,7]=>10
[1,4,2,5,6,7,3]=>[1,2,4,5,6,7,3]=>15
[1,4,2,5,7,3,6]=>[1,2,4,5,7,6,3]=>69
[1,4,2,5,7,6,3]=>[1,2,4,5,7,3,6]=>45
[1,4,2,6,3,5,7]=>[1,2,4,6,5,3,7]=>35
[1,4,2,6,3,7,5]=>[1,2,4,6,7,5,3]=>120
[1,4,2,6,5,3,7]=>[1,2,4,6,3,5,7]=>20
[1,4,2,6,5,7,3]=>[1,2,4,6,7,3,5]=>75
[1,4,2,6,7,3,5]=>[1,2,4,6,3,5,7]=>20
[1,4,2,6,7,5,3]=>[1,2,4,6,5,7,3]=>54
[1,4,2,7,3,5,6]=>[1,2,4,7,6,5,3]=>335
[1,4,2,7,3,6,5]=>[1,2,4,7,5,3,6]=>81
[1,4,2,7,5,3,6]=>[1,2,4,7,6,3,5]=>205
[1,4,2,7,5,6,3]=>[1,2,4,7,3,5,6]=>45
[1,4,2,7,6,3,5]=>[1,2,4,7,5,6,3]=>127
[1,4,2,7,6,5,3]=>[1,2,4,7,3,5,6]=>45
[1,4,3,2,5,6,7]=>[1,2,4,3,5,6,7]=>3
[1,4,3,2,5,7,6]=>[1,2,4,3,5,6,7]=>3
[1,4,3,2,6,5,7]=>[1,2,4,3,5,6,7]=>3
[1,4,3,2,6,7,5]=>[1,2,4,3,5,6,7]=>3
[1,4,3,2,7,5,6]=>[1,2,4,3,5,7,6]=>32
[1,4,3,2,7,6,5]=>[1,2,4,3,5,7,6]=>32
[1,4,3,5,2,6,7]=>[1,2,4,5,3,6,7]=>6
[1,4,3,5,2,7,6]=>[1,2,4,5,3,6,7]=>6
[1,4,3,5,6,2,7]=>[1,2,4,5,6,3,7]=>10
[1,4,3,5,6,7,2]=>[1,2,4,5,6,7,3]=>15
[1,4,3,5,7,2,6]=>[1,2,4,5,7,6,3]=>69
[1,4,3,5,7,6,2]=>[1,2,4,5,7,3,6]=>45
[1,4,3,6,2,5,7]=>[1,2,4,6,5,3,7]=>35
[1,4,3,6,2,7,5]=>[1,2,4,6,7,5,3]=>120
[1,4,3,6,5,2,7]=>[1,2,4,6,3,5,7]=>20
[1,4,3,6,5,7,2]=>[1,2,4,6,7,3,5]=>75
[1,4,3,6,7,2,5]=>[1,2,4,6,3,5,7]=>20
[1,4,3,6,7,5,2]=>[1,2,4,6,5,7,3]=>54
[1,4,3,7,2,5,6]=>[1,2,4,7,6,5,3]=>335
[1,4,3,7,2,6,5]=>[1,2,4,7,5,3,6]=>81
[1,4,3,7,5,2,6]=>[1,2,4,7,6,3,5]=>205
[1,4,3,7,5,6,2]=>[1,2,4,7,3,5,6]=>45
[1,4,3,7,6,2,5]=>[1,2,4,7,5,6,3]=>127
[1,4,3,7,6,5,2]=>[1,2,4,7,3,5,6]=>45
[1,4,5,2,3,6,7]=>[1,2,4,3,5,6,7]=>3
[1,4,5,2,3,7,6]=>[1,2,4,3,5,6,7]=>3
[1,4,5,2,6,3,7]=>[1,2,4,3,5,6,7]=>3
[1,4,5,2,6,7,3]=>[1,2,4,3,5,6,7]=>3
[1,4,5,2,7,3,6]=>[1,2,4,3,5,7,6]=>32
[1,4,5,2,7,6,3]=>[1,2,4,3,5,7,6]=>32
[1,4,5,3,2,6,7]=>[1,2,4,3,5,6,7]=>3
[1,4,5,3,2,7,6]=>[1,2,4,3,5,6,7]=>3
[1,4,5,3,6,2,7]=>[1,2,4,3,5,6,7]=>3
[1,4,5,3,6,7,2]=>[1,2,4,3,5,6,7]=>3
[1,4,5,3,7,2,6]=>[1,2,4,3,5,7,6]=>32
[1,4,5,3,7,6,2]=>[1,2,4,3,5,7,6]=>32
[1,4,5,6,2,3,7]=>[1,2,4,6,3,5,7]=>20
[1,4,5,6,2,7,3]=>[1,2,4,6,7,3,5]=>75
[1,4,5,6,3,2,7]=>[1,2,4,6,3,5,7]=>20
[1,4,5,6,3,7,2]=>[1,2,4,6,7,3,5]=>75
[1,4,5,6,7,2,3]=>[1,2,4,6,3,5,7]=>20
[1,4,5,6,7,3,2]=>[1,2,4,6,3,5,7]=>20
[1,4,5,7,2,3,6]=>[1,2,4,7,6,3,5]=>205
[1,4,5,7,2,6,3]=>[1,2,4,7,3,5,6]=>45
[1,4,5,7,3,2,6]=>[1,2,4,7,6,3,5]=>205
[1,4,5,7,3,6,2]=>[1,2,4,7,3,5,6]=>45
[1,4,5,7,6,2,3]=>[1,2,4,7,3,5,6]=>45
[1,4,5,7,6,3,2]=>[1,2,4,7,3,5,6]=>45
[1,4,6,2,3,5,7]=>[1,2,4,3,6,5,7]=>29
[1,4,6,2,3,7,5]=>[1,2,4,3,6,7,5]=>84
[1,4,6,2,5,3,7]=>[1,2,4,3,6,5,7]=>29
[1,4,6,2,5,7,3]=>[1,2,4,3,6,7,5]=>84
[1,4,6,2,7,3,5]=>[1,2,4,3,6,5,7]=>29
[1,4,6,2,7,5,3]=>[1,2,4,3,6,5,7]=>29
[1,4,6,3,2,5,7]=>[1,2,4,3,6,5,7]=>29
[1,4,6,3,2,7,5]=>[1,2,4,3,6,7,5]=>84
[1,4,6,3,5,2,7]=>[1,2,4,3,6,5,7]=>29
[1,4,6,3,5,7,2]=>[1,2,4,3,6,7,5]=>84
[1,4,6,3,7,2,5]=>[1,2,4,3,6,5,7]=>29
[1,4,6,3,7,5,2]=>[1,2,4,3,6,5,7]=>29
[1,4,6,5,2,3,7]=>[1,2,4,5,3,6,7]=>6
[1,4,6,5,2,7,3]=>[1,2,4,5,3,6,7]=>6
[1,4,6,5,3,2,7]=>[1,2,4,5,3,6,7]=>6
[1,4,6,5,3,7,2]=>[1,2,4,5,3,6,7]=>6
[1,4,6,5,7,2,3]=>[1,2,4,5,7,3,6]=>45
[1,4,6,5,7,3,2]=>[1,2,4,5,7,3,6]=>45
[1,4,6,7,2,3,5]=>[1,2,4,7,5,3,6]=>81
[1,4,6,7,2,5,3]=>[1,2,4,7,3,6,5]=>310
[1,4,6,7,3,2,5]=>[1,2,4,7,5,3,6]=>81
[1,4,6,7,3,5,2]=>[1,2,4,7,3,6,5]=>310
[1,4,6,7,5,2,3]=>[1,2,4,7,3,6,5]=>310
[1,4,6,7,5,3,2]=>[1,2,4,7,3,6,5]=>310
[1,4,7,2,3,5,6]=>[1,2,4,3,7,6,5]=>439
[1,4,7,2,3,6,5]=>[1,2,4,3,7,5,6]=>84
[1,4,7,2,5,3,6]=>[1,2,4,3,7,6,5]=>439
[1,4,7,2,5,6,3]=>[1,2,4,3,7,5,6]=>84
[1,4,7,2,6,3,5]=>[1,2,4,3,7,5,6]=>84
[1,4,7,2,6,5,3]=>[1,2,4,3,7,5,6]=>84
[1,4,7,3,2,5,6]=>[1,2,4,3,7,6,5]=>439
[1,4,7,3,2,6,5]=>[1,2,4,3,7,5,6]=>84
[1,4,7,3,5,2,6]=>[1,2,4,3,7,6,5]=>439
[1,4,7,3,5,6,2]=>[1,2,4,3,7,5,6]=>84
[1,4,7,3,6,2,5]=>[1,2,4,3,7,5,6]=>84
[1,4,7,3,6,5,2]=>[1,2,4,3,7,5,6]=>84
[1,4,7,5,2,3,6]=>[1,2,4,5,3,7,6]=>71
[1,4,7,5,2,6,3]=>[1,2,4,5,3,7,6]=>71
[1,4,7,5,3,2,6]=>[1,2,4,5,3,7,6]=>71
[1,4,7,5,3,6,2]=>[1,2,4,5,3,7,6]=>71
[1,4,7,5,6,2,3]=>[1,2,4,5,6,3,7]=>10
[1,4,7,5,6,3,2]=>[1,2,4,5,6,3,7]=>10
[1,4,7,6,2,3,5]=>[1,2,4,6,3,7,5]=>115
[1,4,7,6,2,5,3]=>[1,2,4,6,5,3,7]=>35
[1,4,7,6,3,2,5]=>[1,2,4,6,3,7,5]=>115
[1,4,7,6,3,5,2]=>[1,2,4,6,5,3,7]=>35
[1,4,7,6,5,2,3]=>[1,2,4,6,3,7,5]=>115
[1,4,7,6,5,3,2]=>[1,2,4,6,3,7,5]=>115
[1,5,2,3,4,6,7]=>[1,2,5,4,3,6,7]=>14
[1,5,2,3,4,7,6]=>[1,2,5,4,3,6,7]=>14
[1,5,2,3,6,4,7]=>[1,2,5,6,4,3,7]=>40
[1,5,2,3,6,7,4]=>[1,2,5,6,7,4,3]=>90
[1,5,2,3,7,4,6]=>[1,2,5,7,6,4,3]=>295
[1,5,2,3,7,6,4]=>[1,2,5,7,4,3,6]=>124
[1,5,2,4,3,6,7]=>[1,2,5,3,4,6,7]=>6
[1,5,2,4,3,7,6]=>[1,2,5,3,4,6,7]=>6
[1,5,2,4,6,3,7]=>[1,2,5,6,3,4,7]=>20
[1,5,2,4,6,7,3]=>[1,2,5,6,7,3,4]=>50
[1,5,2,4,7,3,6]=>[1,2,5,7,6,3,4]=>160
[1,5,2,4,7,6,3]=>[1,2,5,7,3,4,6]=>60
[1,5,2,6,3,4,7]=>[1,2,5,3,4,6,7]=>6
[1,5,2,6,3,7,4]=>[1,2,5,3,4,6,7]=>6
[1,5,2,6,4,3,7]=>[1,2,5,4,6,3,7]=>25
[1,5,2,6,4,7,3]=>[1,2,5,4,6,7,3]=>39
[1,5,2,6,7,3,4]=>[1,2,5,7,4,6,3]=>208
[1,5,2,6,7,4,3]=>[1,2,5,7,3,4,6]=>60
[1,5,2,7,3,4,6]=>[1,2,5,3,4,7,6]=>71
[1,5,2,7,3,6,4]=>[1,2,5,3,4,7,6]=>71
[1,5,2,7,4,3,6]=>[1,2,5,4,7,6,3]=>320
[1,5,2,7,4,6,3]=>[1,2,5,4,7,3,6]=>195
[1,5,2,7,6,3,4]=>[1,2,5,6,3,4,7]=>20
[1,5,2,7,6,4,3]=>[1,2,5,6,4,7,3]=>66
[1,5,3,2,4,6,7]=>[1,2,5,4,3,6,7]=>14
[1,5,3,2,4,7,6]=>[1,2,5,4,3,6,7]=>14
[1,5,3,2,6,4,7]=>[1,2,5,6,4,3,7]=>40
[1,5,3,2,6,7,4]=>[1,2,5,6,7,4,3]=>90
[1,5,3,2,7,4,6]=>[1,2,5,7,6,4,3]=>295
[1,5,3,2,7,6,4]=>[1,2,5,7,4,3,6]=>124
[1,5,3,4,2,6,7]=>[1,2,5,3,4,6,7]=>6
[1,5,3,4,2,7,6]=>[1,2,5,3,4,6,7]=>6
[1,5,3,4,6,2,7]=>[1,2,5,6,3,4,7]=>20
[1,5,3,4,6,7,2]=>[1,2,5,6,7,3,4]=>50
[1,5,3,4,7,2,6]=>[1,2,5,7,6,3,4]=>160
[1,5,3,4,7,6,2]=>[1,2,5,7,3,4,6]=>60
[1,5,3,6,2,4,7]=>[1,2,5,3,4,6,7]=>6
[1,5,3,6,2,7,4]=>[1,2,5,3,4,6,7]=>6
[1,5,3,6,4,2,7]=>[1,2,5,4,6,3,7]=>25
[1,5,3,6,4,7,2]=>[1,2,5,4,6,7,3]=>39
[1,5,3,6,7,2,4]=>[1,2,5,7,4,6,3]=>208
[1,5,3,6,7,4,2]=>[1,2,5,7,3,4,6]=>60
[1,5,3,7,2,4,6]=>[1,2,5,3,4,7,6]=>71
[1,5,3,7,2,6,4]=>[1,2,5,3,4,7,6]=>71
[1,5,3,7,4,2,6]=>[1,2,5,4,7,6,3]=>320
[1,5,3,7,4,6,2]=>[1,2,5,4,7,3,6]=>195
[1,5,3,7,6,2,4]=>[1,2,5,6,3,4,7]=>20
[1,5,3,7,6,4,2]=>[1,2,5,6,4,7,3]=>66
[1,5,4,2,3,6,7]=>[1,2,5,3,4,6,7]=>6
[1,5,4,2,3,7,6]=>[1,2,5,3,4,6,7]=>6
[1,5,4,2,6,3,7]=>[1,2,5,6,3,4,7]=>20
[1,5,4,2,6,7,3]=>[1,2,5,6,7,3,4]=>50
[1,5,4,2,7,3,6]=>[1,2,5,7,6,3,4]=>160
[1,5,4,2,7,6,3]=>[1,2,5,7,3,4,6]=>60
[1,5,4,3,2,6,7]=>[1,2,5,3,4,6,7]=>6
[1,5,4,3,2,7,6]=>[1,2,5,3,4,6,7]=>6
[1,5,4,3,6,2,7]=>[1,2,5,6,3,4,7]=>20
[1,5,4,3,6,7,2]=>[1,2,5,6,7,3,4]=>50
[1,5,4,3,7,2,6]=>[1,2,5,7,6,3,4]=>160
[1,5,4,3,7,6,2]=>[1,2,5,7,3,4,6]=>60
[1,5,4,6,2,3,7]=>[1,2,5,3,4,6,7]=>6
[1,5,4,6,2,7,3]=>[1,2,5,3,4,6,7]=>6
[1,5,4,6,3,2,7]=>[1,2,5,3,4,6,7]=>6
[1,5,4,6,3,7,2]=>[1,2,5,3,4,6,7]=>6
[1,5,4,6,7,2,3]=>[1,2,5,7,3,4,6]=>60
[1,5,4,6,7,3,2]=>[1,2,5,7,3,4,6]=>60
[1,5,4,7,2,3,6]=>[1,2,5,3,4,7,6]=>71
[1,5,4,7,2,6,3]=>[1,2,5,3,4,7,6]=>71
[1,5,4,7,3,2,6]=>[1,2,5,3,4,7,6]=>71
[1,5,4,7,3,6,2]=>[1,2,5,3,4,7,6]=>71
[1,5,4,7,6,2,3]=>[1,2,5,6,3,4,7]=>20
[1,5,4,7,6,3,2]=>[1,2,5,6,3,4,7]=>20
[1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]=>20
[1,5,6,2,3,7,4]=>[1,2,5,3,6,7,4]=>45
[1,5,6,2,4,3,7]=>[1,2,5,4,3,6,7]=>14
[1,5,6,2,4,7,3]=>[1,2,5,4,3,6,7]=>14
[1,5,6,2,7,3,4]=>[1,2,5,7,4,3,6]=>124
[1,5,6,2,7,4,3]=>[1,2,5,7,3,6,4]=>184
[1,5,6,3,2,4,7]=>[1,2,5,3,6,4,7]=>20
[1,5,6,3,2,7,4]=>[1,2,5,3,6,7,4]=>45
[1,5,6,3,4,2,7]=>[1,2,5,4,3,6,7]=>14
[1,5,6,3,4,7,2]=>[1,2,5,4,3,6,7]=>14
[1,5,6,3,7,2,4]=>[1,2,5,7,4,3,6]=>124
[1,5,6,3,7,4,2]=>[1,2,5,7,3,6,4]=>184
[1,5,6,4,2,3,7]=>[1,2,5,3,6,4,7]=>20
[1,5,6,4,2,7,3]=>[1,2,5,3,6,7,4]=>45
[1,5,6,4,3,2,7]=>[1,2,5,3,6,4,7]=>20
[1,5,6,4,3,7,2]=>[1,2,5,3,6,7,4]=>45
[1,5,6,4,7,2,3]=>[1,2,5,7,3,6,4]=>184
[1,5,6,4,7,3,2]=>[1,2,5,7,3,6,4]=>184
[1,5,6,7,2,3,4]=>[1,2,5,3,6,4,7]=>20
[1,5,6,7,2,4,3]=>[1,2,5,3,6,4,7]=>20
[1,5,6,7,3,2,4]=>[1,2,5,3,6,4,7]=>20
[1,5,6,7,3,4,2]=>[1,2,5,3,6,4,7]=>20
[1,5,6,7,4,2,3]=>[1,2,5,4,7,3,6]=>195
[1,5,6,7,4,3,2]=>[1,2,5,4,7,3,6]=>195
[1,5,7,2,3,4,6]=>[1,2,5,3,7,6,4]=>310
[1,5,7,2,3,6,4]=>[1,2,5,3,7,4,6]=>115
[1,5,7,2,4,3,6]=>[1,2,5,4,3,7,6]=>294
[1,5,7,2,4,6,3]=>[1,2,5,4,3,7,6]=>294
[1,5,7,2,6,3,4]=>[1,2,5,6,3,7,4]=>60
[1,5,7,2,6,4,3]=>[1,2,5,6,4,3,7]=>40
[1,5,7,3,2,4,6]=>[1,2,5,3,7,6,4]=>310
[1,5,7,3,2,6,4]=>[1,2,5,3,7,4,6]=>115
[1,5,7,3,4,2,6]=>[1,2,5,4,3,7,6]=>294
[1,5,7,3,4,6,2]=>[1,2,5,4,3,7,6]=>294
[1,5,7,3,6,2,4]=>[1,2,5,6,3,7,4]=>60
[1,5,7,3,6,4,2]=>[1,2,5,6,4,3,7]=>40
[1,5,7,4,2,3,6]=>[1,2,5,3,7,6,4]=>310
[1,5,7,4,2,6,3]=>[1,2,5,3,7,4,6]=>115
[1,5,7,4,3,2,6]=>[1,2,5,3,7,6,4]=>310
[1,5,7,4,3,6,2]=>[1,2,5,3,7,4,6]=>115
[1,5,7,4,6,2,3]=>[1,2,5,6,3,7,4]=>60
[1,5,7,4,6,3,2]=>[1,2,5,6,3,7,4]=>60
[1,5,7,6,2,3,4]=>[1,2,5,3,7,4,6]=>115
[1,5,7,6,2,4,3]=>[1,2,5,3,7,4,6]=>115
[1,5,7,6,3,2,4]=>[1,2,5,3,7,4,6]=>115
[1,5,7,6,3,4,2]=>[1,2,5,3,7,4,6]=>115
[1,5,7,6,4,2,3]=>[1,2,5,4,6,3,7]=>25
[1,5,7,6,4,3,2]=>[1,2,5,4,6,3,7]=>25
[1,6,2,3,4,5,7]=>[1,2,6,5,4,3,7]=>84
[1,6,2,3,4,7,5]=>[1,2,6,7,5,4,3]=>300
[1,6,2,3,5,4,7]=>[1,2,6,4,3,5,7]=>25
[1,6,2,3,5,7,4]=>[1,2,6,7,4,3,5]=>110
[1,6,2,3,7,4,5]=>[1,2,6,4,3,5,7]=>25
[1,6,2,3,7,5,4]=>[1,2,6,5,7,4,3]=>205
[1,6,2,4,3,5,7]=>[1,2,6,5,3,4,7]=>40
[1,6,2,4,3,7,5]=>[1,2,6,7,5,3,4]=>155
[1,6,2,4,5,3,7]=>[1,2,6,3,4,5,7]=>10
[1,6,2,4,5,7,3]=>[1,2,6,7,3,4,5]=>50
[1,6,2,4,7,3,5]=>[1,2,6,3,4,5,7]=>10
[1,6,2,4,7,5,3]=>[1,2,6,5,7,3,4]=>110
[1,6,2,5,3,4,7]=>[1,2,6,4,5,3,7]=>46
[1,6,2,5,3,7,4]=>[1,2,6,7,4,5,3]=>190
[1,6,2,5,4,3,7]=>[1,2,6,3,4,5,7]=>10
[1,6,2,5,4,7,3]=>[1,2,6,7,3,4,5]=>50
[1,6,2,5,7,3,4]=>[1,2,6,3,4,5,7]=>10
[1,6,2,5,7,4,3]=>[1,2,6,4,5,7,3]=>73
[1,6,2,7,3,4,5]=>[1,2,6,4,7,5,3]=>215
[1,6,2,7,3,5,4]=>[1,2,6,5,3,4,7]=>40
[1,6,2,7,4,3,5]=>[1,2,6,3,4,7,5]=>45
[1,6,2,7,4,5,3]=>[1,2,6,5,4,7,3]=>142
[1,6,2,7,5,3,4]=>[1,2,6,3,4,7,5]=>45
[1,6,2,7,5,4,3]=>[1,2,6,4,7,3,5]=>130
[1,6,3,2,4,5,7]=>[1,2,6,5,4,3,7]=>84
[1,6,3,2,4,7,5]=>[1,2,6,7,5,4,3]=>300
[1,6,3,2,5,4,7]=>[1,2,6,4,3,5,7]=>25
[1,6,3,2,5,7,4]=>[1,2,6,7,4,3,5]=>110
[1,6,3,2,7,4,5]=>[1,2,6,4,3,5,7]=>25
[1,6,3,2,7,5,4]=>[1,2,6,5,7,4,3]=>205
[1,6,3,4,2,5,7]=>[1,2,6,5,3,4,7]=>40
[1,6,3,4,2,7,5]=>[1,2,6,7,5,3,4]=>155
[1,6,3,4,5,2,7]=>[1,2,6,3,4,5,7]=>10
[1,6,3,4,5,7,2]=>[1,2,6,7,3,4,5]=>50
[1,6,3,4,7,2,5]=>[1,2,6,3,4,5,7]=>10
[1,6,3,4,7,5,2]=>[1,2,6,5,7,3,4]=>110
[1,6,3,5,2,4,7]=>[1,2,6,4,5,3,7]=>46
[1,6,3,5,2,7,4]=>[1,2,6,7,4,5,3]=>190
[1,6,3,5,4,2,7]=>[1,2,6,3,4,5,7]=>10
[1,6,3,5,4,7,2]=>[1,2,6,7,3,4,5]=>50
[1,6,3,5,7,2,4]=>[1,2,6,3,4,5,7]=>10
[1,6,3,5,7,4,2]=>[1,2,6,4,5,7,3]=>73
[1,6,3,7,2,4,5]=>[1,2,6,4,7,5,3]=>215
[1,6,3,7,2,5,4]=>[1,2,6,5,3,4,7]=>40
[1,6,3,7,4,2,5]=>[1,2,6,3,4,7,5]=>45
[1,6,3,7,4,5,2]=>[1,2,6,5,4,7,3]=>142
[1,6,3,7,5,2,4]=>[1,2,6,3,4,7,5]=>45
[1,6,3,7,5,4,2]=>[1,2,6,4,7,3,5]=>130
[1,6,4,2,3,5,7]=>[1,2,6,5,3,4,7]=>40
[1,6,4,2,3,7,5]=>[1,2,6,7,5,3,4]=>155
[1,6,4,2,5,3,7]=>[1,2,6,3,4,5,7]=>10
[1,6,4,2,5,7,3]=>[1,2,6,7,3,4,5]=>50
[1,6,4,2,7,3,5]=>[1,2,6,3,4,5,7]=>10
[1,6,4,2,7,5,3]=>[1,2,6,5,7,3,4]=>110
[1,6,4,3,2,5,7]=>[1,2,6,5,3,4,7]=>40
[1,6,4,3,2,7,5]=>[1,2,6,7,5,3,4]=>155
[1,6,4,3,5,2,7]=>[1,2,6,3,4,5,7]=>10
[1,6,4,3,5,7,2]=>[1,2,6,7,3,4,5]=>50
[1,6,4,3,7,2,5]=>[1,2,6,3,4,5,7]=>10
[1,6,4,3,7,5,2]=>[1,2,6,5,7,3,4]=>110
[1,6,4,5,2,3,7]=>[1,2,6,3,4,5,7]=>10
[1,6,4,5,2,7,3]=>[1,2,6,7,3,4,5]=>50
[1,6,4,5,3,2,7]=>[1,2,6,3,4,5,7]=>10
[1,6,4,5,3,7,2]=>[1,2,6,7,3,4,5]=>50
[1,6,4,5,7,2,3]=>[1,2,6,3,4,5,7]=>10
[1,6,4,5,7,3,2]=>[1,2,6,3,4,5,7]=>10
[1,6,4,7,2,3,5]=>[1,2,6,3,4,7,5]=>45
[1,6,4,7,2,5,3]=>[1,2,6,5,3,4,7]=>40
[1,6,4,7,3,2,5]=>[1,2,6,3,4,7,5]=>45
[1,6,4,7,3,5,2]=>[1,2,6,5,3,4,7]=>40
[1,6,4,7,5,2,3]=>[1,2,6,3,4,7,5]=>45
[1,6,4,7,5,3,2]=>[1,2,6,3,4,7,5]=>45
[1,6,5,2,3,4,7]=>[1,2,6,4,3,5,7]=>25
[1,6,5,2,3,7,4]=>[1,2,6,7,4,3,5]=>110
[1,6,5,2,4,3,7]=>[1,2,6,3,5,4,7]=>35
[1,6,5,2,4,7,3]=>[1,2,6,7,3,5,4]=>160
[1,6,5,2,7,3,4]=>[1,2,6,3,5,7,4]=>81
[1,6,5,2,7,4,3]=>[1,2,6,4,3,5,7]=>25
[1,6,5,3,2,4,7]=>[1,2,6,4,3,5,7]=>25
[1,6,5,3,2,7,4]=>[1,2,6,7,4,3,5]=>110
[1,6,5,3,4,2,7]=>[1,2,6,3,5,4,7]=>35
[1,6,5,3,4,7,2]=>[1,2,6,7,3,5,4]=>160
[1,6,5,3,7,2,4]=>[1,2,6,3,5,7,4]=>81
[1,6,5,3,7,4,2]=>[1,2,6,4,3,5,7]=>25
[1,6,5,4,2,3,7]=>[1,2,6,3,5,4,7]=>35
[1,6,5,4,2,7,3]=>[1,2,6,7,3,5,4]=>160
[1,6,5,4,3,2,7]=>[1,2,6,3,5,4,7]=>35
[1,6,5,4,3,7,2]=>[1,2,6,7,3,5,4]=>160
[1,6,5,4,7,2,3]=>[1,2,6,3,5,7,4]=>81
[1,6,5,4,7,3,2]=>[1,2,6,3,5,7,4]=>81
[1,6,5,7,2,3,4]=>[1,2,6,3,5,4,7]=>35
[1,6,5,7,2,4,3]=>[1,2,6,4,7,3,5]=>130
[1,6,5,7,3,2,4]=>[1,2,6,3,5,4,7]=>35
[1,6,5,7,3,4,2]=>[1,2,6,4,7,3,5]=>130
[1,6,5,7,4,2,3]=>[1,2,6,3,5,4,7]=>35
[1,6,5,7,4,3,2]=>[1,2,6,3,5,4,7]=>35
[1,6,7,2,3,4,5]=>[1,2,6,4,3,7,5]=>195
[1,6,7,2,3,5,4]=>[1,2,6,5,3,7,4]=>124
[1,6,7,2,4,3,5]=>[1,2,6,3,7,5,4]=>205
[1,6,7,2,4,5,3]=>[1,2,6,5,4,3,7]=>84
[1,6,7,2,5,3,4]=>[1,2,6,3,7,4,5]=>75
[1,6,7,2,5,4,3]=>[1,2,6,4,3,7,5]=>195
[1,6,7,3,2,4,5]=>[1,2,6,4,3,7,5]=>195
[1,6,7,3,2,5,4]=>[1,2,6,5,3,7,4]=>124
[1,6,7,3,4,2,5]=>[1,2,6,3,7,5,4]=>205
[1,6,7,3,4,5,2]=>[1,2,6,5,4,3,7]=>84
[1,6,7,3,5,2,4]=>[1,2,6,3,7,4,5]=>75
[1,6,7,3,5,4,2]=>[1,2,6,4,3,7,5]=>195
[1,6,7,4,2,3,5]=>[1,2,6,3,7,5,4]=>205
[1,6,7,4,2,5,3]=>[1,2,6,5,3,7,4]=>124
[1,6,7,4,3,2,5]=>[1,2,6,3,7,5,4]=>205
[1,6,7,4,3,5,2]=>[1,2,6,5,3,7,4]=>124
[1,6,7,4,5,2,3]=>[1,2,6,3,7,4,5]=>75
[1,6,7,4,5,3,2]=>[1,2,6,3,7,4,5]=>75
[1,6,7,5,2,3,4]=>[1,2,6,3,7,4,5]=>75
[1,6,7,5,2,4,3]=>[1,2,6,4,5,3,7]=>46
[1,6,7,5,3,2,4]=>[1,2,6,3,7,4,5]=>75
[1,6,7,5,3,4,2]=>[1,2,6,4,5,3,7]=>46
[1,6,7,5,4,2,3]=>[1,2,6,3,7,4,5]=>75
[1,6,7,5,4,3,2]=>[1,2,6,3,7,4,5]=>75
[1,7,2,3,4,5,6]=>[1,2,7,6,5,4,3]=>594
[1,7,2,3,4,6,5]=>[1,2,7,5,4,3,6]=>142
[1,7,2,3,5,4,6]=>[1,2,7,6,4,3,5]=>205
[1,7,2,3,5,6,4]=>[1,2,7,4,3,5,6]=>39
[1,7,2,3,6,4,5]=>[1,2,7,5,6,4,3]=>360
[1,7,2,3,6,5,4]=>[1,2,7,4,3,5,6]=>39
[1,7,2,4,3,5,6]=>[1,2,7,6,5,3,4]=>300
[1,7,2,4,3,6,5]=>[1,2,7,5,3,4,6]=>66
[1,7,2,4,5,3,6]=>[1,2,7,6,3,4,5]=>90
[1,7,2,4,5,6,3]=>[1,2,7,3,4,5,6]=>15
[1,7,2,4,6,3,5]=>[1,2,7,5,6,3,4]=>190
[1,7,2,4,6,5,3]=>[1,2,7,3,4,5,6]=>15
[1,7,2,5,3,4,6]=>[1,2,7,6,4,5,3]=>360
[1,7,2,5,3,6,4]=>[1,2,7,4,5,3,6]=>73
[1,7,2,5,4,3,6]=>[1,2,7,6,3,4,5]=>90
[1,7,2,5,4,6,3]=>[1,2,7,3,4,5,6]=>15
[1,7,2,5,6,3,4]=>[1,2,7,4,5,6,3]=>117
[1,7,2,5,6,4,3]=>[1,2,7,3,4,5,6]=>15
[1,7,2,6,3,4,5]=>[1,2,7,5,3,4,6]=>66
[1,7,2,6,3,5,4]=>[1,2,7,4,6,5,3]=>360
[1,7,2,6,4,3,5]=>[1,2,7,5,4,6,3]=>243
[1,7,2,6,4,5,3]=>[1,2,7,3,4,6,5]=>69
[1,7,2,6,5,3,4]=>[1,2,7,4,6,3,5]=>215
[1,7,2,6,5,4,3]=>[1,2,7,3,4,6,5]=>69
[1,7,3,2,4,5,6]=>[1,2,7,6,5,4,3]=>594
[1,7,3,2,4,6,5]=>[1,2,7,5,4,3,6]=>142
[1,7,3,2,5,4,6]=>[1,2,7,6,4,3,5]=>205
[1,7,3,2,5,6,4]=>[1,2,7,4,3,5,6]=>39
[1,7,3,2,6,4,5]=>[1,2,7,5,6,4,3]=>360
[1,7,3,2,6,5,4]=>[1,2,7,4,3,5,6]=>39
[1,7,3,4,2,5,6]=>[1,2,7,6,5,3,4]=>300
[1,7,3,4,2,6,5]=>[1,2,7,5,3,4,6]=>66
[1,7,3,4,5,2,6]=>[1,2,7,6,3,4,5]=>90
[1,7,3,4,5,6,2]=>[1,2,7,3,4,5,6]=>15
[1,7,3,4,6,2,5]=>[1,2,7,5,6,3,4]=>190
[1,7,3,4,6,5,2]=>[1,2,7,3,4,5,6]=>15
[1,7,3,5,2,4,6]=>[1,2,7,6,4,5,3]=>360
[1,7,3,5,2,6,4]=>[1,2,7,4,5,3,6]=>73
[1,7,3,5,4,2,6]=>[1,2,7,6,3,4,5]=>90
[1,7,3,5,4,6,2]=>[1,2,7,3,4,5,6]=>15
[1,7,3,5,6,2,4]=>[1,2,7,4,5,6,3]=>117
[1,7,3,5,6,4,2]=>[1,2,7,3,4,5,6]=>15
[1,7,3,6,2,4,5]=>[1,2,7,5,3,4,6]=>66
[1,7,3,6,2,5,4]=>[1,2,7,4,6,5,3]=>360
[1,7,3,6,4,2,5]=>[1,2,7,5,4,6,3]=>243
[1,7,3,6,4,5,2]=>[1,2,7,3,4,6,5]=>69
[1,7,3,6,5,2,4]=>[1,2,7,4,6,3,5]=>215
[1,7,3,6,5,4,2]=>[1,2,7,3,4,6,5]=>69
[1,7,4,2,3,5,6]=>[1,2,7,6,5,3,4]=>300
[1,7,4,2,3,6,5]=>[1,2,7,5,3,4,6]=>66
[1,7,4,2,5,3,6]=>[1,2,7,6,3,4,5]=>90
[1,7,4,2,5,6,3]=>[1,2,7,3,4,5,6]=>15
[1,7,4,2,6,3,5]=>[1,2,7,5,6,3,4]=>190
[1,7,4,2,6,5,3]=>[1,2,7,3,4,5,6]=>15
[1,7,4,3,2,5,6]=>[1,2,7,6,5,3,4]=>300
[1,7,4,3,2,6,5]=>[1,2,7,5,3,4,6]=>66
[1,7,4,3,5,2,6]=>[1,2,7,6,3,4,5]=>90
[1,7,4,3,5,6,2]=>[1,2,7,3,4,5,6]=>15
[1,7,4,3,6,2,5]=>[1,2,7,5,6,3,4]=>190
[1,7,4,3,6,5,2]=>[1,2,7,3,4,5,6]=>15
[1,7,4,5,2,3,6]=>[1,2,7,6,3,4,5]=>90
[1,7,4,5,2,6,3]=>[1,2,7,3,4,5,6]=>15
[1,7,4,5,3,2,6]=>[1,2,7,6,3,4,5]=>90
[1,7,4,5,3,6,2]=>[1,2,7,3,4,5,6]=>15
[1,7,4,5,6,2,3]=>[1,2,7,3,4,5,6]=>15
[1,7,4,5,6,3,2]=>[1,2,7,3,4,5,6]=>15
[1,7,4,6,2,3,5]=>[1,2,7,5,3,4,6]=>66
[1,7,4,6,2,5,3]=>[1,2,7,3,4,6,5]=>69
[1,7,4,6,3,2,5]=>[1,2,7,5,3,4,6]=>66
[1,7,4,6,3,5,2]=>[1,2,7,3,4,6,5]=>69
[1,7,4,6,5,2,3]=>[1,2,7,3,4,6,5]=>69
[1,7,4,6,5,3,2]=>[1,2,7,3,4,6,5]=>69
[1,7,5,2,3,4,6]=>[1,2,7,6,4,3,5]=>205
[1,7,5,2,3,6,4]=>[1,2,7,4,3,5,6]=>39
[1,7,5,2,4,3,6]=>[1,2,7,6,3,5,4]=>295
[1,7,5,2,4,6,3]=>[1,2,7,3,5,4,6]=>54
[1,7,5,2,6,3,4]=>[1,2,7,4,3,5,6]=>39
[1,7,5,2,6,4,3]=>[1,2,7,3,5,6,4]=>127
[1,7,5,3,2,4,6]=>[1,2,7,6,4,3,5]=>205
[1,7,5,3,2,6,4]=>[1,2,7,4,3,5,6]=>39
[1,7,5,3,4,2,6]=>[1,2,7,6,3,5,4]=>295
[1,7,5,3,4,6,2]=>[1,2,7,3,5,4,6]=>54
[1,7,5,3,6,2,4]=>[1,2,7,4,3,5,6]=>39
[1,7,5,3,6,4,2]=>[1,2,7,3,5,6,4]=>127
[1,7,5,4,2,3,6]=>[1,2,7,6,3,5,4]=>295
[1,7,5,4,2,6,3]=>[1,2,7,3,5,4,6]=>54
[1,7,5,4,3,2,6]=>[1,2,7,6,3,5,4]=>295
[1,7,5,4,3,6,2]=>[1,2,7,3,5,4,6]=>54
[1,7,5,4,6,2,3]=>[1,2,7,3,5,6,4]=>127
[1,7,5,4,6,3,2]=>[1,2,7,3,5,6,4]=>127
[1,7,5,6,2,3,4]=>[1,2,7,4,6,3,5]=>215
[1,7,5,6,2,4,3]=>[1,2,7,3,5,4,6]=>54
[1,7,5,6,3,2,4]=>[1,2,7,4,6,3,5]=>215
[1,7,5,6,3,4,2]=>[1,2,7,3,5,4,6]=>54
[1,7,5,6,4,2,3]=>[1,2,7,3,5,4,6]=>54
[1,7,5,6,4,3,2]=>[1,2,7,3,5,4,6]=>54
[1,7,6,2,3,4,5]=>[1,2,7,5,3,6,4]=>208
[1,7,6,2,3,5,4]=>[1,2,7,4,3,6,5]=>320
[1,7,6,2,4,3,5]=>[1,2,7,5,4,3,6]=>142
[1,7,6,2,4,5,3]=>[1,2,7,3,6,5,4]=>335
[1,7,6,2,5,3,4]=>[1,2,7,4,3,6,5]=>320
[1,7,6,2,5,4,3]=>[1,2,7,3,6,4,5]=>120
[1,7,6,3,2,4,5]=>[1,2,7,5,3,6,4]=>208
[1,7,6,3,2,5,4]=>[1,2,7,4,3,6,5]=>320
[1,7,6,3,4,2,5]=>[1,2,7,5,4,3,6]=>142
[1,7,6,3,4,5,2]=>[1,2,7,3,6,5,4]=>335
[1,7,6,3,5,2,4]=>[1,2,7,4,3,6,5]=>320
[1,7,6,3,5,4,2]=>[1,2,7,3,6,4,5]=>120
[1,7,6,4,2,3,5]=>[1,2,7,5,3,6,4]=>208
[1,7,6,4,2,5,3]=>[1,2,7,3,6,5,4]=>335
[1,7,6,4,3,2,5]=>[1,2,7,5,3,6,4]=>208
[1,7,6,4,3,5,2]=>[1,2,7,3,6,5,4]=>335
[1,7,6,4,5,2,3]=>[1,2,7,3,6,4,5]=>120
[1,7,6,4,5,3,2]=>[1,2,7,3,6,4,5]=>120
[1,7,6,5,2,3,4]=>[1,2,7,4,5,3,6]=>73
[1,7,6,5,2,4,3]=>[1,2,7,3,6,4,5]=>120
[1,7,6,5,3,2,4]=>[1,2,7,4,5,3,6]=>73
[1,7,6,5,3,4,2]=>[1,2,7,3,6,4,5]=>120
[1,7,6,5,4,2,3]=>[1,2,7,3,6,4,5]=>120
[1,7,6,5,4,3,2]=>[1,2,7,3,6,4,5]=>120
[2,1,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[2,1,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>1
[2,1,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>1
[2,1,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>1
[2,1,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>6
[2,1,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>6
[2,1,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>1
[2,1,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>1
[2,1,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>1
[2,1,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>1
[2,1,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>6
[2,1,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>6
[2,1,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>5
[2,1,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>15
[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>5
[2,1,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>15
[2,1,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>5
[2,1,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>5
[2,1,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>55
[2,1,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>15
[2,1,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>55
[2,1,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>15
[2,1,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>15
[2,1,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>15
[2,1,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>1
[2,1,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>1
[2,1,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>1
[2,1,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>1
[2,1,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>6
[2,1,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>6
[2,1,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>1
[2,1,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>1
[2,1,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>1
[2,1,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>1
[2,1,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>6
[2,1,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>6
[2,1,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>5
[2,1,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>15
[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>5
[2,1,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>15
[2,1,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>5
[2,1,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>5
[2,1,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>55
[2,1,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>15
[2,1,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>55
[2,1,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>15
[2,1,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>15
[2,1,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>15
[2,1,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>4
[2,1,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>4
[2,1,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>10
[2,1,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>20
[2,1,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>85
[2,1,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>40
[2,1,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>4
[2,1,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>4
[2,1,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>10
[2,1,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>20
[2,1,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>85
[2,1,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>40
[2,1,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>4
[2,1,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>4
[2,1,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>4
[2,1,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>4
[2,1,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>40
[2,1,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>40
[2,1,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>54
[2,1,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>54
[2,1,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>54
[2,1,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>54
[2,1,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>10
[2,1,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>10
[2,1,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>30
[2,1,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>125
[2,1,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>10
[2,1,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>50
[2,1,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>10
[2,1,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>65
[2,1,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>30
[2,1,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>125
[2,1,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>10
[2,1,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>50
[2,1,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>10
[2,1,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>65
[2,1,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>10
[2,1,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>50
[2,1,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>10
[2,1,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>50
[2,1,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>10
[2,1,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>10
[2,1,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>40
[2,1,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>30
[2,1,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>40
[2,1,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>30
[2,1,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>40
[2,1,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>40
[2,1,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>330
[2,1,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>65
[2,1,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>125
[2,1,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>20
[2,1,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>146
[2,1,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>20
[2,1,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>330
[2,1,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>65
[2,1,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>125
[2,1,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>20
[2,1,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>146
[2,1,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>20
[2,1,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>125
[2,1,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>20
[2,1,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>125
[2,1,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>20
[2,1,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>20
[2,1,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>20
[2,1,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>65
[2,1,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>85
[2,1,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>65
[2,1,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>85
[2,1,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>85
[2,1,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>85
[2,3,1,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[2,3,1,4,5,7,6]=>[1,2,3,4,5,6,7]=>1
[2,3,1,4,6,5,7]=>[1,2,3,4,5,6,7]=>1
[2,3,1,4,6,7,5]=>[1,2,3,4,5,6,7]=>1
[2,3,1,4,7,5,6]=>[1,2,3,4,5,7,6]=>6
[2,3,1,4,7,6,5]=>[1,2,3,4,5,7,6]=>6
[2,3,1,5,4,6,7]=>[1,2,3,4,5,6,7]=>1
[2,3,1,5,4,7,6]=>[1,2,3,4,5,6,7]=>1
[2,3,1,5,6,4,7]=>[1,2,3,4,5,6,7]=>1
[2,3,1,5,6,7,4]=>[1,2,3,4,5,6,7]=>1
[2,3,1,5,7,4,6]=>[1,2,3,4,5,7,6]=>6
[2,3,1,5,7,6,4]=>[1,2,3,4,5,7,6]=>6
[2,3,1,6,4,5,7]=>[1,2,3,4,6,5,7]=>5
[2,3,1,6,4,7,5]=>[1,2,3,4,6,7,5]=>15
[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>5
[2,3,1,6,5,7,4]=>[1,2,3,4,6,7,5]=>15
[2,3,1,6,7,4,5]=>[1,2,3,4,6,5,7]=>5
[2,3,1,6,7,5,4]=>[1,2,3,4,6,5,7]=>5
[2,3,1,7,4,5,6]=>[1,2,3,4,7,6,5]=>55
[2,3,1,7,4,6,5]=>[1,2,3,4,7,5,6]=>15
[2,3,1,7,5,4,6]=>[1,2,3,4,7,6,5]=>55
[2,3,1,7,5,6,4]=>[1,2,3,4,7,5,6]=>15
[2,3,1,7,6,4,5]=>[1,2,3,4,7,5,6]=>15
[2,3,1,7,6,5,4]=>[1,2,3,4,7,5,6]=>15
[2,3,4,1,5,6,7]=>[1,2,3,4,5,6,7]=>1
[2,3,4,1,5,7,6]=>[1,2,3,4,5,6,7]=>1
[2,3,4,1,6,5,7]=>[1,2,3,4,5,6,7]=>1
[2,3,4,1,6,7,5]=>[1,2,3,4,5,6,7]=>1
[2,3,4,1,7,5,6]=>[1,2,3,4,5,7,6]=>6
[2,3,4,1,7,6,5]=>[1,2,3,4,5,7,6]=>6
[2,3,4,5,1,6,7]=>[1,2,3,4,5,6,7]=>1
[2,3,4,5,1,7,6]=>[1,2,3,4,5,6,7]=>1
[2,3,4,5,6,1,7]=>[1,2,3,4,5,6,7]=>1
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>1
[2,3,4,5,7,1,6]=>[1,2,3,4,5,7,6]=>6
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>6
[2,3,4,6,1,5,7]=>[1,2,3,4,6,5,7]=>5
[2,3,4,6,1,7,5]=>[1,2,3,4,6,7,5]=>15
[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>5
[2,3,4,6,5,7,1]=>[1,2,3,4,6,7,5]=>15
[2,3,4,6,7,1,5]=>[1,2,3,4,6,5,7]=>5
[2,3,4,6,7,5,1]=>[1,2,3,4,6,5,7]=>5
[2,3,4,7,1,5,6]=>[1,2,3,4,7,6,5]=>55
[2,3,4,7,1,6,5]=>[1,2,3,4,7,5,6]=>15
[2,3,4,7,5,1,6]=>[1,2,3,4,7,6,5]=>55
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>15
[2,3,4,7,6,1,5]=>[1,2,3,4,7,5,6]=>15
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>15
[2,3,5,1,4,6,7]=>[1,2,3,5,4,6,7]=>4
[2,3,5,1,4,7,6]=>[1,2,3,5,4,6,7]=>4
[2,3,5,1,6,4,7]=>[1,2,3,5,6,4,7]=>10
[2,3,5,1,6,7,4]=>[1,2,3,5,6,7,4]=>20
[2,3,5,1,7,4,6]=>[1,2,3,5,7,6,4]=>85
[2,3,5,1,7,6,4]=>[1,2,3,5,7,4,6]=>40
[2,3,5,4,1,6,7]=>[1,2,3,5,4,6,7]=>4
[2,3,5,4,1,7,6]=>[1,2,3,5,4,6,7]=>4
[2,3,5,4,6,1,7]=>[1,2,3,5,6,4,7]=>10
[2,3,5,4,6,7,1]=>[1,2,3,5,6,7,4]=>20
[2,3,5,4,7,1,6]=>[1,2,3,5,7,6,4]=>85
[2,3,5,4,7,6,1]=>[1,2,3,5,7,4,6]=>40
[2,3,5,6,1,4,7]=>[1,2,3,5,4,6,7]=>4
[2,3,5,6,1,7,4]=>[1,2,3,5,4,6,7]=>4
[2,3,5,6,4,1,7]=>[1,2,3,5,4,6,7]=>4
[2,3,5,6,4,7,1]=>[1,2,3,5,4,6,7]=>4
[2,3,5,6,7,1,4]=>[1,2,3,5,7,4,6]=>40
[2,3,5,6,7,4,1]=>[1,2,3,5,7,4,6]=>40
[2,3,5,7,1,4,6]=>[1,2,3,5,4,7,6]=>54
[2,3,5,7,1,6,4]=>[1,2,3,5,4,7,6]=>54
[2,3,5,7,4,1,6]=>[1,2,3,5,4,7,6]=>54
[2,3,5,7,4,6,1]=>[1,2,3,5,4,7,6]=>54
[2,3,5,7,6,1,4]=>[1,2,3,5,6,4,7]=>10
[2,3,5,7,6,4,1]=>[1,2,3,5,6,4,7]=>10
[2,3,6,1,4,5,7]=>[1,2,3,6,5,4,7]=>30
[2,3,6,1,4,7,5]=>[1,2,3,6,7,5,4]=>125
[2,3,6,1,5,4,7]=>[1,2,3,6,4,5,7]=>10
[2,3,6,1,5,7,4]=>[1,2,3,6,7,4,5]=>50
[2,3,6,1,7,4,5]=>[1,2,3,6,4,5,7]=>10
[2,3,6,1,7,5,4]=>[1,2,3,6,5,7,4]=>65
[2,3,6,4,1,5,7]=>[1,2,3,6,5,4,7]=>30
[2,3,6,4,1,7,5]=>[1,2,3,6,7,5,4]=>125
[2,3,6,4,5,1,7]=>[1,2,3,6,4,5,7]=>10
[2,3,6,4,5,7,1]=>[1,2,3,6,7,4,5]=>50
[2,3,6,4,7,1,5]=>[1,2,3,6,4,5,7]=>10
[2,3,6,4,7,5,1]=>[1,2,3,6,5,7,4]=>65
[2,3,6,5,1,4,7]=>[1,2,3,6,4,5,7]=>10
[2,3,6,5,1,7,4]=>[1,2,3,6,7,4,5]=>50
[2,3,6,5,4,1,7]=>[1,2,3,6,4,5,7]=>10
[2,3,6,5,4,7,1]=>[1,2,3,6,7,4,5]=>50
[2,3,6,5,7,1,4]=>[1,2,3,6,4,5,7]=>10
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>10
[2,3,6,7,1,4,5]=>[1,2,3,6,4,7,5]=>40
[2,3,6,7,1,5,4]=>[1,2,3,6,5,4,7]=>30
[2,3,6,7,4,1,5]=>[1,2,3,6,4,7,5]=>40
[2,3,6,7,4,5,1]=>[1,2,3,6,5,4,7]=>30
[2,3,6,7,5,1,4]=>[1,2,3,6,4,7,5]=>40
[2,3,6,7,5,4,1]=>[1,2,3,6,4,7,5]=>40
[2,3,7,1,4,5,6]=>[1,2,3,7,6,5,4]=>330
[2,3,7,1,4,6,5]=>[1,2,3,7,5,4,6]=>65
[2,3,7,1,5,4,6]=>[1,2,3,7,6,4,5]=>125
[2,3,7,1,5,6,4]=>[1,2,3,7,4,5,6]=>20
[2,3,7,1,6,4,5]=>[1,2,3,7,5,6,4]=>146
[2,3,7,1,6,5,4]=>[1,2,3,7,4,5,6]=>20
[2,3,7,4,1,5,6]=>[1,2,3,7,6,5,4]=>330
[2,3,7,4,1,6,5]=>[1,2,3,7,5,4,6]=>65
[2,3,7,4,5,1,6]=>[1,2,3,7,6,4,5]=>125
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>20
[2,3,7,4,6,1,5]=>[1,2,3,7,5,6,4]=>146
[2,3,7,4,6,5,1]=>[1,2,3,7,4,5,6]=>20
[2,3,7,5,1,4,6]=>[1,2,3,7,6,4,5]=>125
[2,3,7,5,1,6,4]=>[1,2,3,7,4,5,6]=>20
[2,3,7,5,4,1,6]=>[1,2,3,7,6,4,5]=>125
[2,3,7,5,4,6,1]=>[1,2,3,7,4,5,6]=>20
[2,3,7,5,6,1,4]=>[1,2,3,7,4,5,6]=>20
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>20
[2,3,7,6,1,4,5]=>[1,2,3,7,5,4,6]=>65
[2,3,7,6,1,5,4]=>[1,2,3,7,4,6,5]=>85
[2,3,7,6,4,1,5]=>[1,2,3,7,5,4,6]=>65
[2,3,7,6,4,5,1]=>[1,2,3,7,4,6,5]=>85
[2,3,7,6,5,1,4]=>[1,2,3,7,4,6,5]=>85
[2,3,7,6,5,4,1]=>[1,2,3,7,4,6,5]=>85
[2,4,1,3,5,6,7]=>[1,2,4,3,5,6,7]=>3
[2,4,1,3,5,7,6]=>[1,2,4,3,5,6,7]=>3
[2,4,1,3,6,5,7]=>[1,2,4,3,5,6,7]=>3
[2,4,1,3,6,7,5]=>[1,2,4,3,5,6,7]=>3
[2,4,1,3,7,5,6]=>[1,2,4,3,5,7,6]=>32
[2,4,1,3,7,6,5]=>[1,2,4,3,5,7,6]=>32
[2,4,1,5,3,6,7]=>[1,2,4,5,3,6,7]=>6
[2,4,1,5,3,7,6]=>[1,2,4,5,3,6,7]=>6
[2,4,1,5,6,3,7]=>[1,2,4,5,6,3,7]=>10
[2,4,1,5,6,7,3]=>[1,2,4,5,6,7,3]=>15
[2,4,1,5,7,3,6]=>[1,2,4,5,7,6,3]=>69
[2,4,1,5,7,6,3]=>[1,2,4,5,7,3,6]=>45
[2,4,1,6,3,5,7]=>[1,2,4,6,5,3,7]=>35
[2,4,1,6,3,7,5]=>[1,2,4,6,7,5,3]=>120
[2,4,1,6,5,3,7]=>[1,2,4,6,3,5,7]=>20
[2,4,1,6,5,7,3]=>[1,2,4,6,7,3,5]=>75
[2,4,1,6,7,3,5]=>[1,2,4,6,3,5,7]=>20
[2,4,1,6,7,5,3]=>[1,2,4,6,5,7,3]=>54
[2,4,1,7,3,5,6]=>[1,2,4,7,6,5,3]=>335
[2,4,1,7,3,6,5]=>[1,2,4,7,5,3,6]=>81
[2,4,1,7,5,3,6]=>[1,2,4,7,6,3,5]=>205
[2,4,1,7,5,6,3]=>[1,2,4,7,3,5,6]=>45
[2,4,1,7,6,3,5]=>[1,2,4,7,5,6,3]=>127
[2,4,1,7,6,5,3]=>[1,2,4,7,3,5,6]=>45
[2,4,3,1,5,6,7]=>[1,2,4,3,5,6,7]=>3
[2,4,3,1,5,7,6]=>[1,2,4,3,5,6,7]=>3
[2,4,3,1,6,5,7]=>[1,2,4,3,5,6,7]=>3
[2,4,3,1,6,7,5]=>[1,2,4,3,5,6,7]=>3
[2,4,3,1,7,5,6]=>[1,2,4,3,5,7,6]=>32
[2,4,3,1,7,6,5]=>[1,2,4,3,5,7,6]=>32
[2,4,3,5,1,6,7]=>[1,2,4,5,3,6,7]=>6
[2,4,3,5,1,7,6]=>[1,2,4,5,3,6,7]=>6
[2,4,3,5,6,1,7]=>[1,2,4,5,6,3,7]=>10
[2,4,3,5,6,7,1]=>[1,2,4,5,6,7,3]=>15
[2,4,3,5,7,1,6]=>[1,2,4,5,7,6,3]=>69
[2,4,3,5,7,6,1]=>[1,2,4,5,7,3,6]=>45
[2,4,3,6,1,5,7]=>[1,2,4,6,5,3,7]=>35
[2,4,3,6,1,7,5]=>[1,2,4,6,7,5,3]=>120
[2,4,3,6,5,1,7]=>[1,2,4,6,3,5,7]=>20
[2,4,3,6,5,7,1]=>[1,2,4,6,7,3,5]=>75
[2,4,3,6,7,1,5]=>[1,2,4,6,3,5,7]=>20
[2,4,3,6,7,5,1]=>[1,2,4,6,5,7,3]=>54
[2,4,3,7,1,5,6]=>[1,2,4,7,6,5,3]=>335
[2,4,3,7,1,6,5]=>[1,2,4,7,5,3,6]=>81
[2,4,3,7,5,1,6]=>[1,2,4,7,6,3,5]=>205
[2,4,3,7,5,6,1]=>[1,2,4,7,3,5,6]=>45
[2,4,3,7,6,1,5]=>[1,2,4,7,5,6,3]=>127
[2,4,3,7,6,5,1]=>[1,2,4,7,3,5,6]=>45
[2,4,5,1,3,6,7]=>[1,2,4,3,5,6,7]=>3
[2,4,5,1,3,7,6]=>[1,2,4,3,5,6,7]=>3
[2,4,5,1,6,3,7]=>[1,2,4,3,5,6,7]=>3
[2,4,5,1,6,7,3]=>[1,2,4,3,5,6,7]=>3
[2,4,5,1,7,3,6]=>[1,2,4,3,5,7,6]=>32
[2,4,5,1,7,6,3]=>[1,2,4,3,5,7,6]=>32
[2,4,5,3,1,6,7]=>[1,2,4,3,5,6,7]=>3
[2,4,5,3,1,7,6]=>[1,2,4,3,5,6,7]=>3
[2,4,5,3,6,1,7]=>[1,2,4,3,5,6,7]=>3
[2,4,5,3,6,7,1]=>[1,2,4,3,5,6,7]=>3
[2,4,5,3,7,1,6]=>[1,2,4,3,5,7,6]=>32
[2,4,5,3,7,6,1]=>[1,2,4,3,5,7,6]=>32
[2,4,5,6,1,3,7]=>[1,2,4,6,3,5,7]=>20
[2,4,5,6,1,7,3]=>[1,2,4,6,7,3,5]=>75
[2,4,5,6,3,1,7]=>[1,2,4,6,3,5,7]=>20
[2,4,5,6,3,7,1]=>[1,2,4,6,7,3,5]=>75
[2,4,5,6,7,1,3]=>[1,2,4,6,3,5,7]=>20
[2,4,5,6,7,3,1]=>[1,2,4,6,3,5,7]=>20
[2,4,5,7,1,3,6]=>[1,2,4,7,6,3,5]=>205
[2,4,5,7,1,6,3]=>[1,2,4,7,3,5,6]=>45
[2,4,5,7,3,1,6]=>[1,2,4,7,6,3,5]=>205
[2,4,5,7,3,6,1]=>[1,2,4,7,3,5,6]=>45
[2,4,5,7,6,1,3]=>[1,2,4,7,3,5,6]=>45
[2,4,5,7,6,3,1]=>[1,2,4,7,3,5,6]=>45
[2,4,6,1,3,5,7]=>[1,2,4,3,6,5,7]=>29
[2,4,6,1,3,7,5]=>[1,2,4,3,6,7,5]=>84
[2,4,6,1,5,3,7]=>[1,2,4,3,6,5,7]=>29
[2,4,6,1,5,7,3]=>[1,2,4,3,6,7,5]=>84
[2,4,6,1,7,3,5]=>[1,2,4,3,6,5,7]=>29
[2,4,6,1,7,5,3]=>[1,2,4,3,6,5,7]=>29
[2,4,6,3,1,5,7]=>[1,2,4,3,6,5,7]=>29
[2,4,6,3,1,7,5]=>[1,2,4,3,6,7,5]=>84
[2,4,6,3,5,1,7]=>[1,2,4,3,6,5,7]=>29
[2,4,6,3,5,7,1]=>[1,2,4,3,6,7,5]=>84
[2,4,6,3,7,1,5]=>[1,2,4,3,6,5,7]=>29
[2,4,6,3,7,5,1]=>[1,2,4,3,6,5,7]=>29
[2,4,6,5,1,3,7]=>[1,2,4,5,3,6,7]=>6
[2,4,6,5,1,7,3]=>[1,2,4,5,3,6,7]=>6
[2,4,6,5,3,1,7]=>[1,2,4,5,3,6,7]=>6
[2,4,6,5,3,7,1]=>[1,2,4,5,3,6,7]=>6
[2,4,6,5,7,1,3]=>[1,2,4,5,7,3,6]=>45
[2,4,6,5,7,3,1]=>[1,2,4,5,7,3,6]=>45
[2,4,6,7,1,3,5]=>[1,2,4,7,5,3,6]=>81
[2,4,6,7,1,5,3]=>[1,2,4,7,3,6,5]=>310
[2,4,6,7,3,1,5]=>[1,2,4,7,5,3,6]=>81
[2,4,6,7,3,5,1]=>[1,2,4,7,3,6,5]=>310
[2,4,6,7,5,1,3]=>[1,2,4,7,3,6,5]=>310
[2,4,6,7,5,3,1]=>[1,2,4,7,3,6,5]=>310
[2,4,7,1,3,5,6]=>[1,2,4,3,7,6,5]=>439
[2,4,7,1,3,6,5]=>[1,2,4,3,7,5,6]=>84
[2,4,7,1,5,3,6]=>[1,2,4,3,7,6,5]=>439
[2,4,7,1,5,6,3]=>[1,2,4,3,7,5,6]=>84
[2,4,7,1,6,3,5]=>[1,2,4,3,7,5,6]=>84
[2,4,7,1,6,5,3]=>[1,2,4,3,7,5,6]=>84
[2,4,7,3,1,5,6]=>[1,2,4,3,7,6,5]=>439
[2,4,7,3,1,6,5]=>[1,2,4,3,7,5,6]=>84
[2,4,7,3,5,1,6]=>[1,2,4,3,7,6,5]=>439
[2,4,7,3,5,6,1]=>[1,2,4,3,7,5,6]=>84
[2,4,7,3,6,1,5]=>[1,2,4,3,7,5,6]=>84
[2,4,7,3,6,5,1]=>[1,2,4,3,7,5,6]=>84
[2,4,7,5,1,3,6]=>[1,2,4,5,3,7,6]=>71
[2,4,7,5,1,6,3]=>[1,2,4,5,3,7,6]=>71
[2,4,7,5,3,1,6]=>[1,2,4,5,3,7,6]=>71
[2,4,7,5,3,6,1]=>[1,2,4,5,3,7,6]=>71
[2,4,7,5,6,1,3]=>[1,2,4,5,6,3,7]=>10
[2,4,7,5,6,3,1]=>[1,2,4,5,6,3,7]=>10
[2,4,7,6,1,3,5]=>[1,2,4,6,3,7,5]=>115
[2,4,7,6,1,5,3]=>[1,2,4,6,5,3,7]=>35
[2,4,7,6,3,1,5]=>[1,2,4,6,3,7,5]=>115
[2,4,7,6,3,5,1]=>[1,2,4,6,5,3,7]=>35
[2,4,7,6,5,1,3]=>[1,2,4,6,3,7,5]=>115
[2,4,7,6,5,3,1]=>[1,2,4,6,3,7,5]=>115
[2,5,1,3,4,6,7]=>[1,2,5,4,3,6,7]=>14
[2,5,1,3,4,7,6]=>[1,2,5,4,3,6,7]=>14
[2,5,1,3,6,4,7]=>[1,2,5,6,4,3,7]=>40
[2,5,1,3,6,7,4]=>[1,2,5,6,7,4,3]=>90
[2,5,1,3,7,4,6]=>[1,2,5,7,6,4,3]=>295
[2,5,1,3,7,6,4]=>[1,2,5,7,4,3,6]=>124
[2,5,1,4,3,6,7]=>[1,2,5,3,4,6,7]=>6
[2,5,1,4,3,7,6]=>[1,2,5,3,4,6,7]=>6
[2,5,1,4,6,3,7]=>[1,2,5,6,3,4,7]=>20
[2,5,1,4,6,7,3]=>[1,2,5,6,7,3,4]=>50
[2,5,1,4,7,3,6]=>[1,2,5,7,6,3,4]=>160
[2,5,1,4,7,6,3]=>[1,2,5,7,3,4,6]=>60
[2,5,1,6,3,4,7]=>[1,2,5,3,4,6,7]=>6
[2,5,1,6,3,7,4]=>[1,2,5,3,4,6,7]=>6
[2,5,1,6,4,3,7]=>[1,2,5,4,6,3,7]=>25
[2,5,1,6,4,7,3]=>[1,2,5,4,6,7,3]=>39
[2,5,1,6,7,3,4]=>[1,2,5,7,4,6,3]=>208
[2,5,1,6,7,4,3]=>[1,2,5,7,3,4,6]=>60
[2,5,1,7,3,4,6]=>[1,2,5,3,4,7,6]=>71
[2,5,1,7,3,6,4]=>[1,2,5,3,4,7,6]=>71
[2,5,1,7,4,3,6]=>[1,2,5,4,7,6,3]=>320
[2,5,1,7,4,6,3]=>[1,2,5,4,7,3,6]=>195
[2,5,1,7,6,3,4]=>[1,2,5,6,3,4,7]=>20
[2,5,1,7,6,4,3]=>[1,2,5,6,4,7,3]=>66
[2,5,3,1,4,6,7]=>[1,2,5,4,3,6,7]=>14
[2,5,3,1,4,7,6]=>[1,2,5,4,3,6,7]=>14
[2,5,3,1,6,4,7]=>[1,2,5,6,4,3,7]=>40
[2,5,3,1,6,7,4]=>[1,2,5,6,7,4,3]=>90
[2,5,3,1,7,4,6]=>[1,2,5,7,6,4,3]=>295
[2,5,3,1,7,6,4]=>[1,2,5,7,4,3,6]=>124
[2,5,3,4,1,6,7]=>[1,2,5,3,4,6,7]=>6
[2,5,3,4,1,7,6]=>[1,2,5,3,4,6,7]=>6
[2,5,3,4,6,1,7]=>[1,2,5,6,3,4,7]=>20
[2,5,3,4,6,7,1]=>[1,2,5,6,7,3,4]=>50
[2,5,3,4,7,1,6]=>[1,2,5,7,6,3,4]=>160
[2,5,3,4,7,6,1]=>[1,2,5,7,3,4,6]=>60
[2,5,3,6,1,4,7]=>[1,2,5,3,4,6,7]=>6
[2,5,3,6,1,7,4]=>[1,2,5,3,4,6,7]=>6
[2,5,3,6,4,1,7]=>[1,2,5,4,6,3,7]=>25
[2,5,3,6,4,7,1]=>[1,2,5,4,6,7,3]=>39
[2,5,3,6,7,1,4]=>[1,2,5,7,4,6,3]=>208
[2,5,3,6,7,4,1]=>[1,2,5,7,3,4,6]=>60
[2,5,3,7,1,4,6]=>[1,2,5,3,4,7,6]=>71
[2,5,3,7,1,6,4]=>[1,2,5,3,4,7,6]=>71
[2,5,3,7,4,1,6]=>[1,2,5,4,7,6,3]=>320
[2,5,3,7,4,6,1]=>[1,2,5,4,7,3,6]=>195
[2,5,3,7,6,1,4]=>[1,2,5,6,3,4,7]=>20
[2,5,3,7,6,4,1]=>[1,2,5,6,4,7,3]=>66
[2,5,4,1,3,6,7]=>[1,2,5,3,4,6,7]=>6
[2,5,4,1,3,7,6]=>[1,2,5,3,4,6,7]=>6
[2,5,4,1,6,3,7]=>[1,2,5,6,3,4,7]=>20
[2,5,4,1,6,7,3]=>[1,2,5,6,7,3,4]=>50
[2,5,4,1,7,3,6]=>[1,2,5,7,6,3,4]=>160
[2,5,4,1,7,6,3]=>[1,2,5,7,3,4,6]=>60
[2,5,4,3,1,6,7]=>[1,2,5,3,4,6,7]=>6
[2,5,4,3,1,7,6]=>[1,2,5,3,4,6,7]=>6
[2,5,4,3,6,1,7]=>[1,2,5,6,3,4,7]=>20
[2,5,4,3,6,7,1]=>[1,2,5,6,7,3,4]=>50
[2,5,4,3,7,1,6]=>[1,2,5,7,6,3,4]=>160
[2,5,4,3,7,6,1]=>[1,2,5,7,3,4,6]=>60
[2,5,4,6,1,3,7]=>[1,2,5,3,4,6,7]=>6
[2,5,4,6,1,7,3]=>[1,2,5,3,4,6,7]=>6
[2,5,4,6,3,1,7]=>[1,2,5,3,4,6,7]=>6
[2,5,4,6,3,7,1]=>[1,2,5,3,4,6,7]=>6
[2,5,4,6,7,1,3]=>[1,2,5,7,3,4,6]=>60
[2,5,4,6,7,3,1]=>[1,2,5,7,3,4,6]=>60
[2,5,4,7,1,3,6]=>[1,2,5,3,4,7,6]=>71
[2,5,4,7,1,6,3]=>[1,2,5,3,4,7,6]=>71
[2,5,4,7,3,1,6]=>[1,2,5,3,4,7,6]=>71
[2,5,4,7,3,6,1]=>[1,2,5,3,4,7,6]=>71
[2,5,4,7,6,1,3]=>[1,2,5,6,3,4,7]=>20
[2,5,4,7,6,3,1]=>[1,2,5,6,3,4,7]=>20
[2,5,6,1,3,4,7]=>[1,2,5,3,6,4,7]=>20
[2,5,6,1,3,7,4]=>[1,2,5,3,6,7,4]=>45
[2,5,6,1,4,3,7]=>[1,2,5,4,3,6,7]=>14
[2,5,6,1,4,7,3]=>[1,2,5,4,3,6,7]=>14
[2,5,6,1,7,3,4]=>[1,2,5,7,4,3,6]=>124
[2,5,6,1,7,4,3]=>[1,2,5,7,3,6,4]=>184
[2,5,6,3,1,4,7]=>[1,2,5,3,6,4,7]=>20
[2,5,6,3,1,7,4]=>[1,2,5,3,6,7,4]=>45
[2,5,6,3,4,1,7]=>[1,2,5,4,3,6,7]=>14
[2,5,6,3,4,7,1]=>[1,2,5,4,3,6,7]=>14
[2,5,6,3,7,1,4]=>[1,2,5,7,4,3,6]=>124
[2,5,6,3,7,4,1]=>[1,2,5,7,3,6,4]=>184
[2,5,6,4,1,3,7]=>[1,2,5,3,6,4,7]=>20
[2,5,6,4,1,7,3]=>[1,2,5,3,6,7,4]=>45
[2,5,6,4,3,1,7]=>[1,2,5,3,6,4,7]=>20
[2,5,6,4,3,7,1]=>[1,2,5,3,6,7,4]=>45
[2,5,6,4,7,1,3]=>[1,2,5,7,3,6,4]=>184
[2,5,6,4,7,3,1]=>[1,2,5,7,3,6,4]=>184
[2,5,6,7,1,3,4]=>[1,2,5,3,6,4,7]=>20
[2,5,6,7,1,4,3]=>[1,2,5,3,6,4,7]=>20
[2,5,6,7,3,1,4]=>[1,2,5,3,6,4,7]=>20
[2,5,6,7,3,4,1]=>[1,2,5,3,6,4,7]=>20
[2,5,6,7,4,1,3]=>[1,2,5,4,7,3,6]=>195
[2,5,6,7,4,3,1]=>[1,2,5,4,7,3,6]=>195
[2,5,7,1,3,4,6]=>[1,2,5,3,7,6,4]=>310
[2,5,7,1,3,6,4]=>[1,2,5,3,7,4,6]=>115
[2,5,7,1,4,3,6]=>[1,2,5,4,3,7,6]=>294
[2,5,7,1,4,6,3]=>[1,2,5,4,3,7,6]=>294
[2,5,7,1,6,3,4]=>[1,2,5,6,3,7,4]=>60
[2,5,7,1,6,4,3]=>[1,2,5,6,4,3,7]=>40
[2,5,7,3,1,4,6]=>[1,2,5,3,7,6,4]=>310
[2,5,7,3,1,6,4]=>[1,2,5,3,7,4,6]=>115
[2,5,7,3,4,1,6]=>[1,2,5,4,3,7,6]=>294
[2,5,7,3,4,6,1]=>[1,2,5,4,3,7,6]=>294
[2,5,7,3,6,1,4]=>[1,2,5,6,3,7,4]=>60
[2,5,7,3,6,4,1]=>[1,2,5,6,4,3,7]=>40
[2,5,7,4,1,3,6]=>[1,2,5,3,7,6,4]=>310
[2,5,7,4,1,6,3]=>[1,2,5,3,7,4,6]=>115
[2,5,7,4,3,1,6]=>[1,2,5,3,7,6,4]=>310
[2,5,7,4,3,6,1]=>[1,2,5,3,7,4,6]=>115
[2,5,7,4,6,1,3]=>[1,2,5,6,3,7,4]=>60
[2,5,7,4,6,3,1]=>[1,2,5,6,3,7,4]=>60
[2,5,7,6,1,3,4]=>[1,2,5,3,7,4,6]=>115
[2,5,7,6,1,4,3]=>[1,2,5,3,7,4,6]=>115
[2,5,7,6,3,1,4]=>[1,2,5,3,7,4,6]=>115
[2,5,7,6,3,4,1]=>[1,2,5,3,7,4,6]=>115
[2,5,7,6,4,1,3]=>[1,2,5,4,6,3,7]=>25
[2,5,7,6,4,3,1]=>[1,2,5,4,6,3,7]=>25
[2,6,1,3,4,5,7]=>[1,2,6,5,4,3,7]=>84
[2,6,1,3,4,7,5]=>[1,2,6,7,5,4,3]=>300
[2,6,1,3,5,4,7]=>[1,2,6,4,3,5,7]=>25
[2,6,1,3,5,7,4]=>[1,2,6,7,4,3,5]=>110
[2,6,1,3,7,4,5]=>[1,2,6,4,3,5,7]=>25
[2,6,1,3,7,5,4]=>[1,2,6,5,7,4,3]=>205
[2,6,1,4,3,5,7]=>[1,2,6,5,3,4,7]=>40
[2,6,1,4,3,7,5]=>[1,2,6,7,5,3,4]=>155
[2,6,1,4,5,3,7]=>[1,2,6,3,4,5,7]=>10
[2,6,1,4,5,7,3]=>[1,2,6,7,3,4,5]=>50
[2,6,1,4,7,3,5]=>[1,2,6,3,4,5,7]=>10
[2,6,1,4,7,5,3]=>[1,2,6,5,7,3,4]=>110
[2,6,1,5,3,4,7]=>[1,2,6,4,5,3,7]=>46
[2,6,1,5,3,7,4]=>[1,2,6,7,4,5,3]=>190
[2,6,1,5,4,3,7]=>[1,2,6,3,4,5,7]=>10
[2,6,1,5,4,7,3]=>[1,2,6,7,3,4,5]=>50
[2,6,1,5,7,3,4]=>[1,2,6,3,4,5,7]=>10
[2,6,1,5,7,4,3]=>[1,2,6,4,5,7,3]=>73
[2,6,1,7,3,4,5]=>[1,2,6,4,7,5,3]=>215
[2,6,1,7,3,5,4]=>[1,2,6,5,3,4,7]=>40
[2,6,1,7,4,3,5]=>[1,2,6,3,4,7,5]=>45
[2,6,1,7,4,5,3]=>[1,2,6,5,4,7,3]=>142
[2,6,1,7,5,3,4]=>[1,2,6,3,4,7,5]=>45
[2,6,1,7,5,4,3]=>[1,2,6,4,7,3,5]=>130
[2,6,3,1,4,5,7]=>[1,2,6,5,4,3,7]=>84
[2,6,3,1,4,7,5]=>[1,2,6,7,5,4,3]=>300
[2,6,3,1,5,4,7]=>[1,2,6,4,3,5,7]=>25
[2,6,3,1,5,7,4]=>[1,2,6,7,4,3,5]=>110
[2,6,3,1,7,4,5]=>[1,2,6,4,3,5,7]=>25
[2,6,3,1,7,5,4]=>[1,2,6,5,7,4,3]=>205
[2,6,3,4,1,5,7]=>[1,2,6,5,3,4,7]=>40
[2,6,3,4,1,7,5]=>[1,2,6,7,5,3,4]=>155
[2,6,3,4,5,1,7]=>[1,2,6,3,4,5,7]=>10
[2,6,3,4,5,7,1]=>[1,2,6,7,3,4,5]=>50
[2,6,3,4,7,1,5]=>[1,2,6,3,4,5,7]=>10
[2,6,3,4,7,5,1]=>[1,2,6,5,7,3,4]=>110
[2,6,3,5,1,4,7]=>[1,2,6,4,5,3,7]=>46
[2,6,3,5,1,7,4]=>[1,2,6,7,4,5,3]=>190
[2,6,3,5,4,1,7]=>[1,2,6,3,4,5,7]=>10
[2,6,3,5,4,7,1]=>[1,2,6,7,3,4,5]=>50
[2,6,3,5,7,1,4]=>[1,2,6,3,4,5,7]=>10
[2,6,3,5,7,4,1]=>[1,2,6,4,5,7,3]=>73
[2,6,3,7,1,4,5]=>[1,2,6,4,7,5,3]=>215
[2,6,3,7,1,5,4]=>[1,2,6,5,3,4,7]=>40
[2,6,3,7,4,1,5]=>[1,2,6,3,4,7,5]=>45
[2,6,3,7,4,5,1]=>[1,2,6,5,4,7,3]=>142
[2,6,3,7,5,1,4]=>[1,2,6,3,4,7,5]=>45
[2,6,3,7,5,4,1]=>[1,2,6,4,7,3,5]=>130
[2,6,4,1,3,5,7]=>[1,2,6,5,3,4,7]=>40
[2,6,4,1,3,7,5]=>[1,2,6,7,5,3,4]=>155
[2,6,4,1,5,3,7]=>[1,2,6,3,4,5,7]=>10
[2,6,4,1,5,7,3]=>[1,2,6,7,3,4,5]=>50
[2,6,4,1,7,3,5]=>[1,2,6,3,4,5,7]=>10
[2,6,4,1,7,5,3]=>[1,2,6,5,7,3,4]=>110
[2,6,4,3,1,5,7]=>[1,2,6,5,3,4,7]=>40
[2,6,4,3,1,7,5]=>[1,2,6,7,5,3,4]=>155
[2,6,4,3,5,1,7]=>[1,2,6,3,4,5,7]=>10
[2,6,4,3,5,7,1]=>[1,2,6,7,3,4,5]=>50
[2,6,4,3,7,1,5]=>[1,2,6,3,4,5,7]=>10
[2,6,4,3,7,5,1]=>[1,2,6,5,7,3,4]=>110
[2,6,4,5,1,3,7]=>[1,2,6,3,4,5,7]=>10
[2,6,4,5,1,7,3]=>[1,2,6,7,3,4,5]=>50
[2,6,4,5,3,1,7]=>[1,2,6,3,4,5,7]=>10
[2,6,4,5,3,7,1]=>[1,2,6,7,3,4,5]=>50
[2,6,4,5,7,1,3]=>[1,2,6,3,4,5,7]=>10
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>10
[2,6,4,7,1,3,5]=>[1,2,6,3,4,7,5]=>45
[2,6,4,7,1,5,3]=>[1,2,6,5,3,4,7]=>40
[2,6,4,7,3,1,5]=>[1,2,6,3,4,7,5]=>45
[2,6,4,7,3,5,1]=>[1,2,6,5,3,4,7]=>40
[2,6,4,7,5,1,3]=>[1,2,6,3,4,7,5]=>45
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>45
[2,6,5,1,3,4,7]=>[1,2,6,4,3,5,7]=>25
[2,6,5,1,3,7,4]=>[1,2,6,7,4,3,5]=>110
[2,6,5,1,4,3,7]=>[1,2,6,3,5,4,7]=>35
[2,6,5,1,4,7,3]=>[1,2,6,7,3,5,4]=>160
[2,6,5,1,7,3,4]=>[1,2,6,3,5,7,4]=>81
[2,6,5,1,7,4,3]=>[1,2,6,4,3,5,7]=>25
[2,6,5,3,1,4,7]=>[1,2,6,4,3,5,7]=>25
[2,6,5,3,1,7,4]=>[1,2,6,7,4,3,5]=>110
[2,6,5,3,4,1,7]=>[1,2,6,3,5,4,7]=>35
[2,6,5,3,4,7,1]=>[1,2,6,7,3,5,4]=>160
[2,6,5,3,7,1,4]=>[1,2,6,3,5,7,4]=>81
[2,6,5,3,7,4,1]=>[1,2,6,4,3,5,7]=>25
[2,6,5,4,1,3,7]=>[1,2,6,3,5,4,7]=>35
[2,6,5,4,1,7,3]=>[1,2,6,7,3,5,4]=>160
[2,6,5,4,3,1,7]=>[1,2,6,3,5,4,7]=>35
[2,6,5,4,3,7,1]=>[1,2,6,7,3,5,4]=>160
[2,6,5,4,7,1,3]=>[1,2,6,3,5,7,4]=>81
[2,6,5,4,7,3,1]=>[1,2,6,3,5,7,4]=>81
[2,6,5,7,1,3,4]=>[1,2,6,3,5,4,7]=>35
[2,6,5,7,1,4,3]=>[1,2,6,4,7,3,5]=>130
[2,6,5,7,3,1,4]=>[1,2,6,3,5,4,7]=>35
[2,6,5,7,3,4,1]=>[1,2,6,4,7,3,5]=>130
[2,6,5,7,4,1,3]=>[1,2,6,3,5,4,7]=>35
[2,6,5,7,4,3,1]=>[1,2,6,3,5,4,7]=>35
[2,6,7,1,3,4,5]=>[1,2,6,4,3,7,5]=>195
[2,6,7,1,3,5,4]=>[1,2,6,5,3,7,4]=>124
[2,6,7,1,4,3,5]=>[1,2,6,3,7,5,4]=>205
[2,6,7,1,4,5,3]=>[1,2,6,5,4,3,7]=>84
[2,6,7,1,5,3,4]=>[1,2,6,3,7,4,5]=>75
[2,6,7,1,5,4,3]=>[1,2,6,4,3,7,5]=>195
[2,6,7,3,1,4,5]=>[1,2,6,4,3,7,5]=>195
[2,6,7,3,1,5,4]=>[1,2,6,5,3,7,4]=>124
[2,6,7,3,4,1,5]=>[1,2,6,3,7,5,4]=>205
[2,6,7,3,4,5,1]=>[1,2,6,5,4,3,7]=>84
[2,6,7,3,5,1,4]=>[1,2,6,3,7,4,5]=>75
[2,6,7,3,5,4,1]=>[1,2,6,4,3,7,5]=>195
[2,6,7,4,1,3,5]=>[1,2,6,3,7,5,4]=>205
[2,6,7,4,1,5,3]=>[1,2,6,5,3,7,4]=>124
[2,6,7,4,3,1,5]=>[1,2,6,3,7,5,4]=>205
[2,6,7,4,3,5,1]=>[1,2,6,5,3,7,4]=>124
[2,6,7,4,5,1,3]=>[1,2,6,3,7,4,5]=>75
[2,6,7,4,5,3,1]=>[1,2,6,3,7,4,5]=>75
[2,6,7,5,1,3,4]=>[1,2,6,3,7,4,5]=>75
[2,6,7,5,1,4,3]=>[1,2,6,4,5,3,7]=>46
[2,6,7,5,3,1,4]=>[1,2,6,3,7,4,5]=>75
[2,6,7,5,3,4,1]=>[1,2,6,4,5,3,7]=>46
[2,6,7,5,4,1,3]=>[1,2,6,3,7,4,5]=>75
[2,6,7,5,4,3,1]=>[1,2,6,3,7,4,5]=>75
[2,7,1,3,4,5,6]=>[1,2,7,6,5,4,3]=>594
[2,7,1,3,4,6,5]=>[1,2,7,5,4,3,6]=>142
[2,7,1,3,5,4,6]=>[1,2,7,6,4,3,5]=>205
[2,7,1,3,5,6,4]=>[1,2,7,4,3,5,6]=>39
[2,7,1,3,6,4,5]=>[1,2,7,5,6,4,3]=>360
[2,7,1,3,6,5,4]=>[1,2,7,4,3,5,6]=>39
[2,7,1,4,3,5,6]=>[1,2,7,6,5,3,4]=>300
[2,7,1,4,3,6,5]=>[1,2,7,5,3,4,6]=>66
[2,7,1,4,5,3,6]=>[1,2,7,6,3,4,5]=>90
[2,7,1,4,5,6,3]=>[1,2,7,3,4,5,6]=>15
[2,7,1,4,6,3,5]=>[1,2,7,5,6,3,4]=>190
[2,7,1,4,6,5,3]=>[1,2,7,3,4,5,6]=>15
[2,7,1,5,3,4,6]=>[1,2,7,6,4,5,3]=>360
[2,7,1,5,3,6,4]=>[1,2,7,4,5,3,6]=>73
[2,7,1,5,4,3,6]=>[1,2,7,6,3,4,5]=>90
[2,7,1,5,4,6,3]=>[1,2,7,3,4,5,6]=>15
[2,7,1,5,6,3,4]=>[1,2,7,4,5,6,3]=>117
[2,7,1,5,6,4,3]=>[1,2,7,3,4,5,6]=>15
[2,7,1,6,3,4,5]=>[1,2,7,5,3,4,6]=>66
[2,7,1,6,3,5,4]=>[1,2,7,4,6,5,3]=>360
[2,7,1,6,4,3,5]=>[1,2,7,5,4,6,3]=>243
[2,7,1,6,4,5,3]=>[1,2,7,3,4,6,5]=>69
[2,7,1,6,5,3,4]=>[1,2,7,4,6,3,5]=>215
[2,7,1,6,5,4,3]=>[1,2,7,3,4,6,5]=>69
[2,7,3,1,4,5,6]=>[1,2,7,6,5,4,3]=>594
[2,7,3,1,4,6,5]=>[1,2,7,5,4,3,6]=>142
[2,7,3,1,5,4,6]=>[1,2,7,6,4,3,5]=>205
[2,7,3,1,5,6,4]=>[1,2,7,4,3,5,6]=>39
[2,7,3,1,6,4,5]=>[1,2,7,5,6,4,3]=>360
[2,7,3,1,6,5,4]=>[1,2,7,4,3,5,6]=>39
[2,7,3,4,1,5,6]=>[1,2,7,6,5,3,4]=>300
[2,7,3,4,1,6,5]=>[1,2,7,5,3,4,6]=>66
[2,7,3,4,5,1,6]=>[1,2,7,6,3,4,5]=>90
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>15
[2,7,3,4,6,1,5]=>[1,2,7,5,6,3,4]=>190
[2,7,3,4,6,5,1]=>[1,2,7,3,4,5,6]=>15
[2,7,3,5,1,4,6]=>[1,2,7,6,4,5,3]=>360
[2,7,3,5,1,6,4]=>[1,2,7,4,5,3,6]=>73
[2,7,3,5,4,1,6]=>[1,2,7,6,3,4,5]=>90
[2,7,3,5,4,6,1]=>[1,2,7,3,4,5,6]=>15
[2,7,3,5,6,1,4]=>[1,2,7,4,5,6,3]=>117
[2,7,3,5,6,4,1]=>[1,2,7,3,4,5,6]=>15
[2,7,3,6,1,4,5]=>[1,2,7,5,3,4,6]=>66
[2,7,3,6,1,5,4]=>[1,2,7,4,6,5,3]=>360
[2,7,3,6,4,1,5]=>[1,2,7,5,4,6,3]=>243
[2,7,3,6,4,5,1]=>[1,2,7,3,4,6,5]=>69
[2,7,3,6,5,1,4]=>[1,2,7,4,6,3,5]=>215
[2,7,3,6,5,4,1]=>[1,2,7,3,4,6,5]=>69
[2,7,4,1,3,5,6]=>[1,2,7,6,5,3,4]=>300
[2,7,4,1,3,6,5]=>[1,2,7,5,3,4,6]=>66
[2,7,4,1,5,3,6]=>[1,2,7,6,3,4,5]=>90
[2,7,4,1,5,6,3]=>[1,2,7,3,4,5,6]=>15
[2,7,4,1,6,3,5]=>[1,2,7,5,6,3,4]=>190
[2,7,4,1,6,5,3]=>[1,2,7,3,4,5,6]=>15
[2,7,4,3,1,5,6]=>[1,2,7,6,5,3,4]=>300
[2,7,4,3,1,6,5]=>[1,2,7,5,3,4,6]=>66
[2,7,4,3,5,1,6]=>[1,2,7,6,3,4,5]=>90
[2,7,4,3,5,6,1]=>[1,2,7,3,4,5,6]=>15
[2,7,4,3,6,1,5]=>[1,2,7,5,6,3,4]=>190
[2,7,4,3,6,5,1]=>[1,2,7,3,4,5,6]=>15
[2,7,4,5,1,3,6]=>[1,2,7,6,3,4,5]=>90
[2,7,4,5,1,6,3]=>[1,2,7,3,4,5,6]=>15
[2,7,4,5,3,1,6]=>[1,2,7,6,3,4,5]=>90
[2,7,4,5,3,6,1]=>[1,2,7,3,4,5,6]=>15
[2,7,4,5,6,1,3]=>[1,2,7,3,4,5,6]=>15
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>15
[2,7,4,6,1,3,5]=>[1,2,7,5,3,4,6]=>66
[2,7,4,6,1,5,3]=>[1,2,7,3,4,6,5]=>69
[2,7,4,6,3,1,5]=>[1,2,7,5,3,4,6]=>66
[2,7,4,6,3,5,1]=>[1,2,7,3,4,6,5]=>69
[2,7,4,6,5,1,3]=>[1,2,7,3,4,6,5]=>69
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>69
[2,7,5,1,3,4,6]=>[1,2,7,6,4,3,5]=>205
[2,7,5,1,3,6,4]=>[1,2,7,4,3,5,6]=>39
[2,7,5,1,4,3,6]=>[1,2,7,6,3,5,4]=>295
[2,7,5,1,4,6,3]=>[1,2,7,3,5,4,6]=>54
[2,7,5,1,6,3,4]=>[1,2,7,4,3,5,6]=>39
[2,7,5,1,6,4,3]=>[1,2,7,3,5,6,4]=>127
[2,7,5,3,1,4,6]=>[1,2,7,6,4,3,5]=>205
[2,7,5,3,1,6,4]=>[1,2,7,4,3,5,6]=>39
[2,7,5,3,4,1,6]=>[1,2,7,6,3,5,4]=>295
[2,7,5,3,4,6,1]=>[1,2,7,3,5,4,6]=>54
[2,7,5,3,6,1,4]=>[1,2,7,4,3,5,6]=>39
[2,7,5,3,6,4,1]=>[1,2,7,3,5,6,4]=>127
[2,7,5,4,1,3,6]=>[1,2,7,6,3,5,4]=>295
[2,7,5,4,1,6,3]=>[1,2,7,3,5,4,6]=>54
[2,7,5,4,3,1,6]=>[1,2,7,6,3,5,4]=>295
[2,7,5,4,3,6,1]=>[1,2,7,3,5,4,6]=>54
[2,7,5,4,6,1,3]=>[1,2,7,3,5,6,4]=>127
[2,7,5,4,6,3,1]=>[1,2,7,3,5,6,4]=>127
[2,7,5,6,1,3,4]=>[1,2,7,4,6,3,5]=>215
[2,7,5,6,1,4,3]=>[1,2,7,3,5,4,6]=>54
[2,7,5,6,3,1,4]=>[1,2,7,4,6,3,5]=>215
[2,7,5,6,3,4,1]=>[1,2,7,3,5,4,6]=>54
[2,7,5,6,4,1,3]=>[1,2,7,3,5,4,6]=>54
[2,7,5,6,4,3,1]=>[1,2,7,3,5,4,6]=>54
[2,7,6,1,3,4,5]=>[1,2,7,5,3,6,4]=>208
[2,7,6,1,3,5,4]=>[1,2,7,4,3,6,5]=>320
[2,7,6,1,4,3,5]=>[1,2,7,5,4,3,6]=>142
[2,7,6,1,4,5,3]=>[1,2,7,3,6,5,4]=>335
[2,7,6,1,5,3,4]=>[1,2,7,4,3,6,5]=>320
[2,7,6,1,5,4,3]=>[1,2,7,3,6,4,5]=>120
[2,7,6,3,1,4,5]=>[1,2,7,5,3,6,4]=>208
[2,7,6,3,1,5,4]=>[1,2,7,4,3,6,5]=>320
[2,7,6,3,4,1,5]=>[1,2,7,5,4,3,6]=>142
[2,7,6,3,4,5,1]=>[1,2,7,3,6,5,4]=>335
[2,7,6,3,5,1,4]=>[1,2,7,4,3,6,5]=>320
[2,7,6,3,5,4,1]=>[1,2,7,3,6,4,5]=>120
[2,7,6,4,1,3,5]=>[1,2,7,5,3,6,4]=>208
[2,7,6,4,1,5,3]=>[1,2,7,3,6,5,4]=>335
[2,7,6,4,3,1,5]=>[1,2,7,5,3,6,4]=>208
[2,7,6,4,3,5,1]=>[1,2,7,3,6,5,4]=>335
[2,7,6,4,5,1,3]=>[1,2,7,3,6,4,5]=>120
[2,7,6,4,5,3,1]=>[1,2,7,3,6,4,5]=>120
[2,7,6,5,1,3,4]=>[1,2,7,4,5,3,6]=>73
[2,7,6,5,1,4,3]=>[1,2,7,3,6,4,5]=>120
[2,7,6,5,3,1,4]=>[1,2,7,4,5,3,6]=>73
[2,7,6,5,3,4,1]=>[1,2,7,3,6,4,5]=>120
[2,7,6,5,4,1,3]=>[1,2,7,3,6,4,5]=>120
[2,7,6,5,4,3,1]=>[1,2,7,3,6,4,5]=>120
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>2
[3,1,2,4,5,7,6]=>[1,3,2,4,5,6,7]=>2
[3,1,2,4,6,5,7]=>[1,3,2,4,5,6,7]=>2
[3,1,2,4,6,7,5]=>[1,3,2,4,5,6,7]=>2
[3,1,2,4,7,5,6]=>[1,3,2,4,5,7,6]=>17
[3,1,2,4,7,6,5]=>[1,3,2,4,5,7,6]=>17
[3,1,2,5,4,6,7]=>[1,3,2,4,5,6,7]=>2
[3,1,2,5,4,7,6]=>[1,3,2,4,5,6,7]=>2
[3,1,2,5,6,4,7]=>[1,3,2,4,5,6,7]=>2
[3,1,2,5,6,7,4]=>[1,3,2,4,5,6,7]=>2
[3,1,2,5,7,4,6]=>[1,3,2,4,5,7,6]=>17
[3,1,2,5,7,6,4]=>[1,3,2,4,5,7,6]=>17
[3,1,2,6,4,5,7]=>[1,3,2,4,6,5,7]=>15
[3,1,2,6,4,7,5]=>[1,3,2,4,6,7,5]=>47
[3,1,2,6,5,4,7]=>[1,3,2,4,6,5,7]=>15
[3,1,2,6,5,7,4]=>[1,3,2,4,6,7,5]=>47
[3,1,2,6,7,4,5]=>[1,3,2,4,6,5,7]=>15
[3,1,2,6,7,5,4]=>[1,3,2,4,6,5,7]=>15
[3,1,2,7,4,5,6]=>[1,3,2,4,7,6,5]=>200
[3,1,2,7,4,6,5]=>[1,3,2,4,7,5,6]=>47
[3,1,2,7,5,4,6]=>[1,3,2,4,7,6,5]=>200
[3,1,2,7,5,6,4]=>[1,3,2,4,7,5,6]=>47
[3,1,2,7,6,4,5]=>[1,3,2,4,7,5,6]=>47
[3,1,2,7,6,5,4]=>[1,3,2,4,7,5,6]=>47
[3,1,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>3
[3,1,4,2,5,7,6]=>[1,3,4,2,5,6,7]=>3
[3,1,4,2,6,5,7]=>[1,3,4,2,5,6,7]=>3
[3,1,4,2,6,7,5]=>[1,3,4,2,5,6,7]=>3
[3,1,4,2,7,5,6]=>[1,3,4,2,5,7,6]=>29
[3,1,4,2,7,6,5]=>[1,3,4,2,5,7,6]=>29
[3,1,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>4
[3,1,4,5,2,7,6]=>[1,3,4,5,2,6,7]=>4
[3,1,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>5
[3,1,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>6
[3,1,4,5,7,2,6]=>[1,3,4,5,7,6,2]=>29
[3,1,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>24
[3,1,4,6,2,5,7]=>[1,3,4,6,5,2,7]=>19
[3,1,4,6,2,7,5]=>[1,3,4,6,7,5,2]=>55
[3,1,4,6,5,2,7]=>[1,3,4,6,2,5,7]=>15
[3,1,4,6,5,7,2]=>[1,3,4,6,7,2,5]=>45
[3,1,4,6,7,2,5]=>[1,3,4,6,2,5,7]=>15
[3,1,4,6,7,5,2]=>[1,3,4,6,5,7,2]=>23
[3,1,4,7,2,5,6]=>[1,3,4,7,6,5,2]=>160
[3,1,4,7,2,6,5]=>[1,3,4,7,5,2,6]=>46
[3,1,4,7,5,2,6]=>[1,3,4,7,6,2,5]=>130
[3,1,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>36
[3,1,4,7,6,2,5]=>[1,3,4,7,5,6,2]=>56
[3,1,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>36
[3,1,5,2,4,6,7]=>[1,3,5,4,2,6,7]=>11
[3,1,5,2,4,7,6]=>[1,3,5,4,2,6,7]=>11
[3,1,5,2,6,4,7]=>[1,3,5,6,4,2,7]=>26
[3,1,5,2,6,7,4]=>[1,3,5,6,7,4,2]=>50
[3,1,5,2,7,4,6]=>[1,3,5,7,6,4,2]=>170
[3,1,5,2,7,6,4]=>[1,3,5,7,4,2,6]=>84
[3,1,5,4,2,6,7]=>[1,3,5,2,4,6,7]=>8
[3,1,5,4,2,7,6]=>[1,3,5,2,4,6,7]=>8
[3,1,5,4,6,2,7]=>[1,3,5,6,2,4,7]=>20
[3,1,5,4,6,7,2]=>[1,3,5,6,7,2,4]=>40
[3,1,5,4,7,2,6]=>[1,3,5,7,6,2,4]=>135
[3,1,5,4,7,6,2]=>[1,3,5,7,2,4,6]=>64
[3,1,5,6,2,4,7]=>[1,3,5,2,4,6,7]=>8
[3,1,5,6,2,7,4]=>[1,3,5,2,4,6,7]=>8
[3,1,5,6,4,2,7]=>[1,3,5,4,6,2,7]=>14
[3,1,5,6,4,7,2]=>[1,3,5,4,6,7,2]=>17
[3,1,5,6,7,2,4]=>[1,3,5,7,4,6,2]=>104
[3,1,5,6,7,4,2]=>[1,3,5,7,2,4,6]=>64
[3,1,5,7,2,4,6]=>[1,3,5,2,4,7,6]=>131
[3,1,5,7,2,6,4]=>[1,3,5,2,4,7,6]=>131
[3,1,5,7,4,2,6]=>[1,3,5,4,7,6,2]=>154
[3,1,5,7,4,6,2]=>[1,3,5,4,7,2,6]=>125
[3,1,5,7,6,2,4]=>[1,3,5,6,2,4,7]=>20
[3,1,5,7,6,4,2]=>[1,3,5,6,4,7,2]=>32
[3,1,6,2,4,5,7]=>[1,3,6,5,4,2,7]=>58
[3,1,6,2,4,7,5]=>[1,3,6,7,5,4,2]=>185
[3,1,6,2,5,4,7]=>[1,3,6,4,2,5,7]=>21
[3,1,6,2,5,7,4]=>[1,3,6,7,4,2,5]=>80
[3,1,6,2,7,4,5]=>[1,3,6,4,2,5,7]=>21
[3,1,6,2,7,5,4]=>[1,3,6,5,7,4,2]=>120
[3,1,6,4,2,5,7]=>[1,3,6,5,2,4,7]=>44
[3,1,6,4,2,7,5]=>[1,3,6,7,5,2,4]=>145
[3,1,6,4,5,2,7]=>[1,3,6,2,4,5,7]=>15
[3,1,6,4,5,7,2]=>[1,3,6,7,2,4,5]=>60
[3,1,6,4,7,2,5]=>[1,3,6,2,4,5,7]=>15
[3,1,6,4,7,5,2]=>[1,3,6,5,7,2,4]=>95
[3,1,6,5,2,4,7]=>[1,3,6,4,5,2,7]=>27
[3,1,6,5,2,7,4]=>[1,3,6,7,4,5,2]=>100
[3,1,6,5,4,2,7]=>[1,3,6,2,4,5,7]=>15
[3,1,6,5,4,7,2]=>[1,3,6,7,2,4,5]=>60
[3,1,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>15
[3,1,6,5,7,4,2]=>[1,3,6,4,5,7,2]=>33
[3,1,6,7,2,4,5]=>[1,3,6,4,7,5,2]=>105
[3,1,6,7,2,5,4]=>[1,3,6,5,2,4,7]=>44
[3,1,6,7,4,2,5]=>[1,3,6,2,4,7,5]=>89
[3,1,6,7,4,5,2]=>[1,3,6,5,4,7,2]=>72
[3,1,6,7,5,2,4]=>[1,3,6,2,4,7,5]=>89
[3,1,6,7,5,4,2]=>[1,3,6,4,7,2,5]=>85
[3,1,7,2,4,5,6]=>[1,3,7,6,5,4,2]=>378
[3,1,7,2,4,6,5]=>[1,3,7,5,4,2,6]=>101
[3,1,7,2,5,4,6]=>[1,3,7,6,4,2,5]=>155
[3,1,7,2,5,6,4]=>[1,3,7,4,2,5,6]=>34
[3,1,7,2,6,4,5]=>[1,3,7,5,6,4,2]=>216
[3,1,7,2,6,5,4]=>[1,3,7,4,2,5,6]=>34
[3,1,7,4,2,5,6]=>[1,3,7,6,5,2,4]=>294
[3,1,7,4,2,6,5]=>[1,3,7,5,2,4,6]=>76
[3,1,7,4,5,2,6]=>[1,3,7,6,2,4,5]=>115
[3,1,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>24
[3,1,7,4,6,2,5]=>[1,3,7,5,6,2,4]=>170
[3,1,7,4,6,5,2]=>[1,3,7,2,4,5,6]=>24
[3,1,7,5,2,4,6]=>[1,3,7,6,4,5,2]=>195
[3,1,7,5,2,6,4]=>[1,3,7,4,5,2,6]=>44
[3,1,7,5,4,2,6]=>[1,3,7,6,2,4,5]=>115
[3,1,7,5,4,6,2]=>[1,3,7,2,4,5,6]=>24
[3,1,7,5,6,2,4]=>[1,3,7,4,5,6,2]=>54
[3,1,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>24
[3,1,7,6,2,4,5]=>[1,3,7,5,2,4,6]=>76
[3,1,7,6,2,5,4]=>[1,3,7,4,6,5,2]=>180
[3,1,7,6,4,2,5]=>[1,3,7,5,4,6,2]=>126
[3,1,7,6,4,5,2]=>[1,3,7,2,4,6,5]=>151
[3,1,7,6,5,2,4]=>[1,3,7,4,6,2,5]=>145
[3,1,7,6,5,4,2]=>[1,3,7,2,4,6,5]=>151
[3,2,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>2
[3,2,1,4,5,7,6]=>[1,3,2,4,5,6,7]=>2
[3,2,1,4,6,5,7]=>[1,3,2,4,5,6,7]=>2
[3,2,1,4,6,7,5]=>[1,3,2,4,5,6,7]=>2
[3,2,1,4,7,5,6]=>[1,3,2,4,5,7,6]=>17
[3,2,1,4,7,6,5]=>[1,3,2,4,5,7,6]=>17
[3,2,1,5,4,6,7]=>[1,3,2,4,5,6,7]=>2
[3,2,1,5,4,7,6]=>[1,3,2,4,5,6,7]=>2
[3,2,1,5,6,4,7]=>[1,3,2,4,5,6,7]=>2
[3,2,1,5,6,7,4]=>[1,3,2,4,5,6,7]=>2
[3,2,1,5,7,4,6]=>[1,3,2,4,5,7,6]=>17
[3,2,1,5,7,6,4]=>[1,3,2,4,5,7,6]=>17
[3,2,1,6,4,5,7]=>[1,3,2,4,6,5,7]=>15
[3,2,1,6,4,7,5]=>[1,3,2,4,6,7,5]=>47
[3,2,1,6,5,4,7]=>[1,3,2,4,6,5,7]=>15
[3,2,1,6,5,7,4]=>[1,3,2,4,6,7,5]=>47
[3,2,1,6,7,4,5]=>[1,3,2,4,6,5,7]=>15
[3,2,1,6,7,5,4]=>[1,3,2,4,6,5,7]=>15
[3,2,1,7,4,5,6]=>[1,3,2,4,7,6,5]=>200
[3,2,1,7,4,6,5]=>[1,3,2,4,7,5,6]=>47
[3,2,1,7,5,4,6]=>[1,3,2,4,7,6,5]=>200
[3,2,1,7,5,6,4]=>[1,3,2,4,7,5,6]=>47
[3,2,1,7,6,4,5]=>[1,3,2,4,7,5,6]=>47
[3,2,1,7,6,5,4]=>[1,3,2,4,7,5,6]=>47
[3,2,4,1,5,6,7]=>[1,3,4,2,5,6,7]=>3
[3,2,4,1,5,7,6]=>[1,3,4,2,5,6,7]=>3
[3,2,4,1,6,5,7]=>[1,3,4,2,5,6,7]=>3
[3,2,4,1,6,7,5]=>[1,3,4,2,5,6,7]=>3
[3,2,4,1,7,5,6]=>[1,3,4,2,5,7,6]=>29
[3,2,4,1,7,6,5]=>[1,3,4,2,5,7,6]=>29
[3,2,4,5,1,6,7]=>[1,3,4,5,2,6,7]=>4
[3,2,4,5,1,7,6]=>[1,3,4,5,2,6,7]=>4
[3,2,4,5,6,1,7]=>[1,3,4,5,6,2,7]=>5
[3,2,4,5,6,7,1]=>[1,3,4,5,6,7,2]=>6
[3,2,4,5,7,1,6]=>[1,3,4,5,7,6,2]=>29
[3,2,4,5,7,6,1]=>[1,3,4,5,7,2,6]=>24
[3,2,4,6,1,5,7]=>[1,3,4,6,5,2,7]=>19
[3,2,4,6,1,7,5]=>[1,3,4,6,7,5,2]=>55
[3,2,4,6,5,1,7]=>[1,3,4,6,2,5,7]=>15
[3,2,4,6,5,7,1]=>[1,3,4,6,7,2,5]=>45
[3,2,4,6,7,1,5]=>[1,3,4,6,2,5,7]=>15
[3,2,4,6,7,5,1]=>[1,3,4,6,5,7,2]=>23
[3,2,4,7,1,5,6]=>[1,3,4,7,6,5,2]=>160
[3,2,4,7,1,6,5]=>[1,3,4,7,5,2,6]=>46
[3,2,4,7,5,1,6]=>[1,3,4,7,6,2,5]=>130
[3,2,4,7,5,6,1]=>[1,3,4,7,2,5,6]=>36
[3,2,4,7,6,1,5]=>[1,3,4,7,5,6,2]=>56
[3,2,4,7,6,5,1]=>[1,3,4,7,2,5,6]=>36
[3,2,5,1,4,6,7]=>[1,3,5,4,2,6,7]=>11
[3,2,5,1,4,7,6]=>[1,3,5,4,2,6,7]=>11
[3,2,5,1,6,4,7]=>[1,3,5,6,4,2,7]=>26
[3,2,5,1,6,7,4]=>[1,3,5,6,7,4,2]=>50
[3,2,5,1,7,4,6]=>[1,3,5,7,6,4,2]=>170
[3,2,5,1,7,6,4]=>[1,3,5,7,4,2,6]=>84
[3,2,5,4,1,6,7]=>[1,3,5,2,4,6,7]=>8
[3,2,5,4,1,7,6]=>[1,3,5,2,4,6,7]=>8
[3,2,5,4,6,1,7]=>[1,3,5,6,2,4,7]=>20
[3,2,5,4,6,7,1]=>[1,3,5,6,7,2,4]=>40
[3,2,5,4,7,1,6]=>[1,3,5,7,6,2,4]=>135
[3,2,5,4,7,6,1]=>[1,3,5,7,2,4,6]=>64
[3,2,5,6,1,4,7]=>[1,3,5,2,4,6,7]=>8
[3,2,5,6,1,7,4]=>[1,3,5,2,4,6,7]=>8
[3,2,5,6,4,1,7]=>[1,3,5,4,6,2,7]=>14
[3,2,5,6,4,7,1]=>[1,3,5,4,6,7,2]=>17
[3,2,5,6,7,1,4]=>[1,3,5,7,4,6,2]=>104
[3,2,5,6,7,4,1]=>[1,3,5,7,2,4,6]=>64
[3,2,5,7,1,4,6]=>[1,3,5,2,4,7,6]=>131
[3,2,5,7,1,6,4]=>[1,3,5,2,4,7,6]=>131
[3,2,5,7,4,1,6]=>[1,3,5,4,7,6,2]=>154
[3,2,5,7,4,6,1]=>[1,3,5,4,7,2,6]=>125
[3,2,5,7,6,1,4]=>[1,3,5,6,2,4,7]=>20
[3,2,5,7,6,4,1]=>[1,3,5,6,4,7,2]=>32
[3,2,6,1,4,5,7]=>[1,3,6,5,4,2,7]=>58
[3,2,6,1,4,7,5]=>[1,3,6,7,5,4,2]=>185
[3,2,6,1,5,4,7]=>[1,3,6,4,2,5,7]=>21
[3,2,6,1,5,7,4]=>[1,3,6,7,4,2,5]=>80
[3,2,6,1,7,4,5]=>[1,3,6,4,2,5,7]=>21
[3,2,6,1,7,5,4]=>[1,3,6,5,7,4,2]=>120
[3,2,6,4,1,5,7]=>[1,3,6,5,2,4,7]=>44
[3,2,6,4,1,7,5]=>[1,3,6,7,5,2,4]=>145
[3,2,6,4,5,1,7]=>[1,3,6,2,4,5,7]=>15
[3,2,6,4,5,7,1]=>[1,3,6,7,2,4,5]=>60
[3,2,6,4,7,1,5]=>[1,3,6,2,4,5,7]=>15
[3,2,6,4,7,5,1]=>[1,3,6,5,7,2,4]=>95
[3,2,6,5,1,4,7]=>[1,3,6,4,5,2,7]=>27
[3,2,6,5,1,7,4]=>[1,3,6,7,4,5,2]=>100
[3,2,6,5,4,1,7]=>[1,3,6,2,4,5,7]=>15
[3,2,6,5,4,7,1]=>[1,3,6,7,2,4,5]=>60
[3,2,6,5,7,1,4]=>[1,3,6,2,4,5,7]=>15
[3,2,6,5,7,4,1]=>[1,3,6,4,5,7,2]=>33
[3,2,6,7,1,4,5]=>[1,3,6,4,7,5,2]=>105
[3,2,6,7,1,5,4]=>[1,3,6,5,2,4,7]=>44
[3,2,6,7,4,1,5]=>[1,3,6,2,4,7,5]=>89
[3,2,6,7,4,5,1]=>[1,3,6,5,4,7,2]=>72
[3,2,6,7,5,1,4]=>[1,3,6,2,4,7,5]=>89
[3,2,6,7,5,4,1]=>[1,3,6,4,7,2,5]=>85
[3,2,7,1,4,5,6]=>[1,3,7,6,5,4,2]=>378
[3,2,7,1,4,6,5]=>[1,3,7,5,4,2,6]=>101
[3,2,7,1,5,4,6]=>[1,3,7,6,4,2,5]=>155
[3,2,7,1,5,6,4]=>[1,3,7,4,2,5,6]=>34
[3,2,7,1,6,4,5]=>[1,3,7,5,6,4,2]=>216
[3,2,7,1,6,5,4]=>[1,3,7,4,2,5,6]=>34
[3,2,7,4,1,5,6]=>[1,3,7,6,5,2,4]=>294
[3,2,7,4,1,6,5]=>[1,3,7,5,2,4,6]=>76
[3,2,7,4,5,1,6]=>[1,3,7,6,2,4,5]=>115
[3,2,7,4,5,6,1]=>[1,3,7,2,4,5,6]=>24
[3,2,7,4,6,1,5]=>[1,3,7,5,6,2,4]=>170
[3,2,7,4,6,5,1]=>[1,3,7,2,4,5,6]=>24
[3,2,7,5,1,4,6]=>[1,3,7,6,4,5,2]=>195
[3,2,7,5,1,6,4]=>[1,3,7,4,5,2,6]=>44
[3,2,7,5,4,1,6]=>[1,3,7,6,2,4,5]=>115
[3,2,7,5,4,6,1]=>[1,3,7,2,4,5,6]=>24
[3,2,7,5,6,1,4]=>[1,3,7,4,5,6,2]=>54
[3,2,7,5,6,4,1]=>[1,3,7,2,4,5,6]=>24
[3,2,7,6,1,4,5]=>[1,3,7,5,2,4,6]=>76
[3,2,7,6,1,5,4]=>[1,3,7,4,6,5,2]=>180
[3,2,7,6,4,1,5]=>[1,3,7,5,4,6,2]=>126
[3,2,7,6,4,5,1]=>[1,3,7,2,4,6,5]=>151
[3,2,7,6,5,1,4]=>[1,3,7,4,6,2,5]=>145
[3,2,7,6,5,4,1]=>[1,3,7,2,4,6,5]=>151
[3,4,1,2,5,6,7]=>[1,3,2,4,5,6,7]=>2
[3,4,1,2,5,7,6]=>[1,3,2,4,5,6,7]=>2
[3,4,1,2,6,5,7]=>[1,3,2,4,5,6,7]=>2
[3,4,1,2,6,7,5]=>[1,3,2,4,5,6,7]=>2
[3,4,1,2,7,5,6]=>[1,3,2,4,5,7,6]=>17
[3,4,1,2,7,6,5]=>[1,3,2,4,5,7,6]=>17
[3,4,1,5,2,6,7]=>[1,3,2,4,5,6,7]=>2
[3,4,1,5,2,7,6]=>[1,3,2,4,5,6,7]=>2
[3,4,1,5,6,2,7]=>[1,3,2,4,5,6,7]=>2
[3,4,1,5,6,7,2]=>[1,3,2,4,5,6,7]=>2
[3,4,1,5,7,2,6]=>[1,3,2,4,5,7,6]=>17
[3,4,1,5,7,6,2]=>[1,3,2,4,5,7,6]=>17
[3,4,1,6,2,5,7]=>[1,3,2,4,6,5,7]=>15
[3,4,1,6,2,7,5]=>[1,3,2,4,6,7,5]=>47
[3,4,1,6,5,2,7]=>[1,3,2,4,6,5,7]=>15
[3,4,1,6,5,7,2]=>[1,3,2,4,6,7,5]=>47
[3,4,1,6,7,2,5]=>[1,3,2,4,6,5,7]=>15
[3,4,1,6,7,5,2]=>[1,3,2,4,6,5,7]=>15
[3,4,1,7,2,5,6]=>[1,3,2,4,7,6,5]=>200
[3,4,1,7,2,6,5]=>[1,3,2,4,7,5,6]=>47
[3,4,1,7,5,2,6]=>[1,3,2,4,7,6,5]=>200
[3,4,1,7,5,6,2]=>[1,3,2,4,7,5,6]=>47
[3,4,1,7,6,2,5]=>[1,3,2,4,7,5,6]=>47
[3,4,1,7,6,5,2]=>[1,3,2,4,7,5,6]=>47
[3,4,2,1,5,6,7]=>[1,3,2,4,5,6,7]=>2
[3,4,2,1,5,7,6]=>[1,3,2,4,5,6,7]=>2
[3,4,2,1,6,5,7]=>[1,3,2,4,5,6,7]=>2
[3,4,2,1,6,7,5]=>[1,3,2,4,5,6,7]=>2
[3,4,2,1,7,5,6]=>[1,3,2,4,5,7,6]=>17
[3,4,2,1,7,6,5]=>[1,3,2,4,5,7,6]=>17
[3,4,2,5,1,6,7]=>[1,3,2,4,5,6,7]=>2
[3,4,2,5,1,7,6]=>[1,3,2,4,5,6,7]=>2
[3,4,2,5,6,1,7]=>[1,3,2,4,5,6,7]=>2
[3,4,2,5,6,7,1]=>[1,3,2,4,5,6,7]=>2
[3,4,2,5,7,1,6]=>[1,3,2,4,5,7,6]=>17
[3,4,2,5,7,6,1]=>[1,3,2,4,5,7,6]=>17
[3,4,2,6,1,5,7]=>[1,3,2,4,6,5,7]=>15
[3,4,2,6,1,7,5]=>[1,3,2,4,6,7,5]=>47
[3,4,2,6,5,1,7]=>[1,3,2,4,6,5,7]=>15
[3,4,2,6,5,7,1]=>[1,3,2,4,6,7,5]=>47
[3,4,2,6,7,1,5]=>[1,3,2,4,6,5,7]=>15
[3,4,2,6,7,5,1]=>[1,3,2,4,6,5,7]=>15
[3,4,2,7,1,5,6]=>[1,3,2,4,7,6,5]=>200
[3,4,2,7,1,6,5]=>[1,3,2,4,7,5,6]=>47
[3,4,2,7,5,1,6]=>[1,3,2,4,7,6,5]=>200
[3,4,2,7,5,6,1]=>[1,3,2,4,7,5,6]=>47
[3,4,2,7,6,1,5]=>[1,3,2,4,7,5,6]=>47
[3,4,2,7,6,5,1]=>[1,3,2,4,7,5,6]=>47
[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7]=>8
[3,4,5,1,2,7,6]=>[1,3,5,2,4,6,7]=>8
[3,4,5,1,6,2,7]=>[1,3,5,6,2,4,7]=>20
[3,4,5,1,6,7,2]=>[1,3,5,6,7,2,4]=>40
[3,4,5,1,7,2,6]=>[1,3,5,7,6,2,4]=>135
[3,4,5,1,7,6,2]=>[1,3,5,7,2,4,6]=>64
[3,4,5,2,1,6,7]=>[1,3,5,2,4,6,7]=>8
[3,4,5,2,1,7,6]=>[1,3,5,2,4,6,7]=>8
[3,4,5,2,6,1,7]=>[1,3,5,6,2,4,7]=>20
[3,4,5,2,6,7,1]=>[1,3,5,6,7,2,4]=>40
[3,4,5,2,7,1,6]=>[1,3,5,7,6,2,4]=>135
[3,4,5,2,7,6,1]=>[1,3,5,7,2,4,6]=>64
[3,4,5,6,1,2,7]=>[1,3,5,2,4,6,7]=>8
[3,4,5,6,1,7,2]=>[1,3,5,2,4,6,7]=>8
[3,4,5,6,2,1,7]=>[1,3,5,2,4,6,7]=>8
[3,4,5,6,2,7,1]=>[1,3,5,2,4,6,7]=>8
[3,4,5,6,7,1,2]=>[1,3,5,7,2,4,6]=>64
[3,4,5,6,7,2,1]=>[1,3,5,7,2,4,6]=>64
[3,4,5,7,1,2,6]=>[1,3,5,2,4,7,6]=>131
[3,4,5,7,1,6,2]=>[1,3,5,2,4,7,6]=>131
[3,4,5,7,2,1,6]=>[1,3,5,2,4,7,6]=>131
[3,4,5,7,2,6,1]=>[1,3,5,2,4,7,6]=>131
[3,4,5,7,6,1,2]=>[1,3,5,6,2,4,7]=>20
[3,4,5,7,6,2,1]=>[1,3,5,6,2,4,7]=>20
[3,4,6,1,2,5,7]=>[1,3,6,5,2,4,7]=>44
[3,4,6,1,2,7,5]=>[1,3,6,7,5,2,4]=>145
[3,4,6,1,5,2,7]=>[1,3,6,2,4,5,7]=>15
[3,4,6,1,5,7,2]=>[1,3,6,7,2,4,5]=>60
[3,4,6,1,7,2,5]=>[1,3,6,2,4,5,7]=>15
[3,4,6,1,7,5,2]=>[1,3,6,5,7,2,4]=>95
[3,4,6,2,1,5,7]=>[1,3,6,5,2,4,7]=>44
[3,4,6,2,1,7,5]=>[1,3,6,7,5,2,4]=>145
[3,4,6,2,5,1,7]=>[1,3,6,2,4,5,7]=>15
[3,4,6,2,5,7,1]=>[1,3,6,7,2,4,5]=>60
[3,4,6,2,7,1,5]=>[1,3,6,2,4,5,7]=>15
[3,4,6,2,7,5,1]=>[1,3,6,5,7,2,4]=>95
[3,4,6,5,1,2,7]=>[1,3,6,2,4,5,7]=>15
[3,4,6,5,1,7,2]=>[1,3,6,7,2,4,5]=>60
[3,4,6,5,2,1,7]=>[1,3,6,2,4,5,7]=>15
[3,4,6,5,2,7,1]=>[1,3,6,7,2,4,5]=>60
[3,4,6,5,7,1,2]=>[1,3,6,2,4,5,7]=>15
[3,4,6,5,7,2,1]=>[1,3,6,2,4,5,7]=>15
[3,4,6,7,1,2,5]=>[1,3,6,2,4,7,5]=>89
[3,4,6,7,1,5,2]=>[1,3,6,5,2,4,7]=>44
[3,4,6,7,2,1,5]=>[1,3,6,2,4,7,5]=>89
[3,4,6,7,2,5,1]=>[1,3,6,5,2,4,7]=>44
[3,4,6,7,5,1,2]=>[1,3,6,2,4,7,5]=>89
[3,4,6,7,5,2,1]=>[1,3,6,2,4,7,5]=>89
[3,4,7,1,2,5,6]=>[1,3,7,6,5,2,4]=>294
[3,4,7,1,2,6,5]=>[1,3,7,5,2,4,6]=>76
[3,4,7,1,5,2,6]=>[1,3,7,6,2,4,5]=>115
[3,4,7,1,5,6,2]=>[1,3,7,2,4,5,6]=>24
[3,4,7,1,6,2,5]=>[1,3,7,5,6,2,4]=>170
[3,4,7,1,6,5,2]=>[1,3,7,2,4,5,6]=>24
[3,4,7,2,1,5,6]=>[1,3,7,6,5,2,4]=>294
[3,4,7,2,1,6,5]=>[1,3,7,5,2,4,6]=>76
[3,4,7,2,5,1,6]=>[1,3,7,6,2,4,5]=>115
[3,4,7,2,5,6,1]=>[1,3,7,2,4,5,6]=>24
[3,4,7,2,6,1,5]=>[1,3,7,5,6,2,4]=>170
[3,4,7,2,6,5,1]=>[1,3,7,2,4,5,6]=>24
[3,4,7,5,1,2,6]=>[1,3,7,6,2,4,5]=>115
[3,4,7,5,1,6,2]=>[1,3,7,2,4,5,6]=>24
[3,4,7,5,2,1,6]=>[1,3,7,6,2,4,5]=>115
[3,4,7,5,2,6,1]=>[1,3,7,2,4,5,6]=>24
[3,4,7,5,6,1,2]=>[1,3,7,2,4,5,6]=>24
[3,4,7,5,6,2,1]=>[1,3,7,2,4,5,6]=>24
[3,4,7,6,1,2,5]=>[1,3,7,5,2,4,6]=>76
[3,4,7,6,1,5,2]=>[1,3,7,2,4,6,5]=>151
[3,4,7,6,2,1,5]=>[1,3,7,5,2,4,6]=>76
[3,4,7,6,2,5,1]=>[1,3,7,2,4,6,5]=>151
[3,4,7,6,5,1,2]=>[1,3,7,2,4,6,5]=>151
[3,4,7,6,5,2,1]=>[1,3,7,2,4,6,5]=>151
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>13
[3,5,1,2,4,7,6]=>[1,3,2,5,4,6,7]=>13
[3,5,1,2,6,4,7]=>[1,3,2,5,6,4,7]=>32
[3,5,1,2,6,7,4]=>[1,3,2,5,6,7,4]=>61
[3,5,1,2,7,4,6]=>[1,3,2,5,7,6,4]=>328
[3,5,1,2,7,6,4]=>[1,3,2,5,7,4,6]=>153
[3,5,1,4,2,6,7]=>[1,3,2,5,4,6,7]=>13
[3,5,1,4,2,7,6]=>[1,3,2,5,4,6,7]=>13
[3,5,1,4,6,2,7]=>[1,3,2,5,6,4,7]=>32
[3,5,1,4,6,7,2]=>[1,3,2,5,6,7,4]=>61
[3,5,1,4,7,2,6]=>[1,3,2,5,7,6,4]=>328
[3,5,1,4,7,6,2]=>[1,3,2,5,7,4,6]=>153
[3,5,1,6,2,4,7]=>[1,3,2,5,4,6,7]=>13
[3,5,1,6,2,7,4]=>[1,3,2,5,4,6,7]=>13
[3,5,1,6,4,2,7]=>[1,3,2,5,4,6,7]=>13
[3,5,1,6,4,7,2]=>[1,3,2,5,4,6,7]=>13
[3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>153
[3,5,1,6,7,4,2]=>[1,3,2,5,7,4,6]=>153
[3,5,1,7,2,4,6]=>[1,3,2,5,4,7,6]=>198
[3,5,1,7,2,6,4]=>[1,3,2,5,4,7,6]=>198
[3,5,1,7,4,2,6]=>[1,3,2,5,4,7,6]=>198
[3,5,1,7,4,6,2]=>[1,3,2,5,4,7,6]=>198
[3,5,1,7,6,2,4]=>[1,3,2,5,6,4,7]=>32
[3,5,1,7,6,4,2]=>[1,3,2,5,6,4,7]=>32
[3,5,2,1,4,6,7]=>[1,3,2,5,4,6,7]=>13
[3,5,2,1,4,7,6]=>[1,3,2,5,4,6,7]=>13
[3,5,2,1,6,4,7]=>[1,3,2,5,6,4,7]=>32
[3,5,2,1,6,7,4]=>[1,3,2,5,6,7,4]=>61
[3,5,2,1,7,4,6]=>[1,3,2,5,7,6,4]=>328
[3,5,2,1,7,6,4]=>[1,3,2,5,7,4,6]=>153
[3,5,2,4,1,6,7]=>[1,3,2,5,4,6,7]=>13
[3,5,2,4,1,7,6]=>[1,3,2,5,4,6,7]=>13
[3,5,2,4,6,1,7]=>[1,3,2,5,6,4,7]=>32
[3,5,2,4,6,7,1]=>[1,3,2,5,6,7,4]=>61
[3,5,2,4,7,1,6]=>[1,3,2,5,7,6,4]=>328
[3,5,2,4,7,6,1]=>[1,3,2,5,7,4,6]=>153
[3,5,2,6,1,4,7]=>[1,3,2,5,4,6,7]=>13
[3,5,2,6,1,7,4]=>[1,3,2,5,4,6,7]=>13
[3,5,2,6,4,1,7]=>[1,3,2,5,4,6,7]=>13
[3,5,2,6,4,7,1]=>[1,3,2,5,4,6,7]=>13
[3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>153
[3,5,2,6,7,4,1]=>[1,3,2,5,7,4,6]=>153
[3,5,2,7,1,4,6]=>[1,3,2,5,4,7,6]=>198
[3,5,2,7,1,6,4]=>[1,3,2,5,4,7,6]=>198
[3,5,2,7,4,1,6]=>[1,3,2,5,4,7,6]=>198
[3,5,2,7,4,6,1]=>[1,3,2,5,4,7,6]=>198
[3,5,2,7,6,1,4]=>[1,3,2,5,6,4,7]=>32
[3,5,2,7,6,4,1]=>[1,3,2,5,6,4,7]=>32
[3,5,4,1,2,6,7]=>[1,3,4,2,5,6,7]=>3
[3,5,4,1,2,7,6]=>[1,3,4,2,5,6,7]=>3
[3,5,4,1,6,2,7]=>[1,3,4,2,5,6,7]=>3
[3,5,4,1,6,7,2]=>[1,3,4,2,5,6,7]=>3
[3,5,4,1,7,2,6]=>[1,3,4,2,5,7,6]=>29
[3,5,4,1,7,6,2]=>[1,3,4,2,5,7,6]=>29
[3,5,4,2,1,6,7]=>[1,3,4,2,5,6,7]=>3
[3,5,4,2,1,7,6]=>[1,3,4,2,5,6,7]=>3
[3,5,4,2,6,1,7]=>[1,3,4,2,5,6,7]=>3
[3,5,4,2,6,7,1]=>[1,3,4,2,5,6,7]=>3
[3,5,4,2,7,1,6]=>[1,3,4,2,5,7,6]=>29
[3,5,4,2,7,6,1]=>[1,3,4,2,5,7,6]=>29
[3,5,4,6,1,2,7]=>[1,3,4,6,2,5,7]=>15
[3,5,4,6,1,7,2]=>[1,3,4,6,7,2,5]=>45
[3,5,4,6,2,1,7]=>[1,3,4,6,2,5,7]=>15
[3,5,4,6,2,7,1]=>[1,3,4,6,7,2,5]=>45
[3,5,4,6,7,1,2]=>[1,3,4,6,2,5,7]=>15
[3,5,4,6,7,2,1]=>[1,3,4,6,2,5,7]=>15
[3,5,4,7,1,2,6]=>[1,3,4,7,6,2,5]=>130
[3,5,4,7,1,6,2]=>[1,3,4,7,2,5,6]=>36
[3,5,4,7,2,1,6]=>[1,3,4,7,6,2,5]=>130
[3,5,4,7,2,6,1]=>[1,3,4,7,2,5,6]=>36
[3,5,4,7,6,1,2]=>[1,3,4,7,2,5,6]=>36
[3,5,4,7,6,2,1]=>[1,3,4,7,2,5,6]=>36
[3,5,6,1,2,4,7]=>[1,3,6,4,2,5,7]=>21
[3,5,6,1,2,7,4]=>[1,3,6,7,4,2,5]=>80
[3,5,6,1,4,2,7]=>[1,3,6,2,5,4,7]=>74
[3,5,6,1,4,7,2]=>[1,3,6,7,2,5,4]=>250
[3,5,6,1,7,2,4]=>[1,3,6,2,5,7,4]=>170
[3,5,6,1,7,4,2]=>[1,3,6,4,2,5,7]=>21
[3,5,6,2,1,4,7]=>[1,3,6,4,2,5,7]=>21
[3,5,6,2,1,7,4]=>[1,3,6,7,4,2,5]=>80
[3,5,6,2,4,1,7]=>[1,3,6,2,5,4,7]=>74
[3,5,6,2,4,7,1]=>[1,3,6,7,2,5,4]=>250
[3,5,6,2,7,1,4]=>[1,3,6,2,5,7,4]=>170
[3,5,6,2,7,4,1]=>[1,3,6,4,2,5,7]=>21
[3,5,6,4,1,2,7]=>[1,3,6,2,5,4,7]=>74
[3,5,6,4,1,7,2]=>[1,3,6,7,2,5,4]=>250
[3,5,6,4,2,1,7]=>[1,3,6,2,5,4,7]=>74
[3,5,6,4,2,7,1]=>[1,3,6,7,2,5,4]=>250
[3,5,6,4,7,1,2]=>[1,3,6,2,5,7,4]=>170
[3,5,6,4,7,2,1]=>[1,3,6,2,5,7,4]=>170
[3,5,6,7,1,2,4]=>[1,3,6,2,5,4,7]=>74
[3,5,6,7,1,4,2]=>[1,3,6,4,7,2,5]=>85
[3,5,6,7,2,1,4]=>[1,3,6,2,5,4,7]=>74
[3,5,6,7,2,4,1]=>[1,3,6,4,7,2,5]=>85
[3,5,6,7,4,1,2]=>[1,3,6,2,5,4,7]=>74
[3,5,6,7,4,2,1]=>[1,3,6,2,5,4,7]=>74
[3,5,7,1,2,4,6]=>[1,3,7,6,4,2,5]=>155
[3,5,7,1,2,6,4]=>[1,3,7,4,2,5,6]=>34
[3,5,7,1,4,2,6]=>[1,3,7,6,2,5,4]=>504
[3,5,7,1,4,6,2]=>[1,3,7,2,5,4,6]=>127
[3,5,7,1,6,2,4]=>[1,3,7,4,2,5,6]=>34
[3,5,7,1,6,4,2]=>[1,3,7,2,5,6,4]=>297
[3,5,7,2,1,4,6]=>[1,3,7,6,4,2,5]=>155
[3,5,7,2,1,6,4]=>[1,3,7,4,2,5,6]=>34
[3,5,7,2,4,1,6]=>[1,3,7,6,2,5,4]=>504
[3,5,7,2,4,6,1]=>[1,3,7,2,5,4,6]=>127
[3,5,7,2,6,1,4]=>[1,3,7,4,2,5,6]=>34
[3,5,7,2,6,4,1]=>[1,3,7,2,5,6,4]=>297
[3,5,7,4,1,2,6]=>[1,3,7,6,2,5,4]=>504
[3,5,7,4,1,6,2]=>[1,3,7,2,5,4,6]=>127
[3,5,7,4,2,1,6]=>[1,3,7,6,2,5,4]=>504
[3,5,7,4,2,6,1]=>[1,3,7,2,5,4,6]=>127
[3,5,7,4,6,1,2]=>[1,3,7,2,5,6,4]=>297
[3,5,7,4,6,2,1]=>[1,3,7,2,5,6,4]=>297
[3,5,7,6,1,2,4]=>[1,3,7,4,6,2,5]=>145
[3,5,7,6,1,4,2]=>[1,3,7,2,5,4,6]=>127
[3,5,7,6,2,1,4]=>[1,3,7,4,6,2,5]=>145
[3,5,7,6,2,4,1]=>[1,3,7,2,5,4,6]=>127
[3,5,7,6,4,1,2]=>[1,3,7,2,5,4,6]=>127
[3,5,7,6,4,2,1]=>[1,3,7,2,5,4,6]=>127
[3,6,1,2,4,5,7]=>[1,3,2,6,5,4,7]=>121
[3,6,1,2,4,7,5]=>[1,3,2,6,7,5,4]=>496
[3,6,1,2,5,4,7]=>[1,3,2,6,4,5,7]=>32
[3,6,1,2,5,7,4]=>[1,3,2,6,7,4,5]=>185
[3,6,1,2,7,4,5]=>[1,3,2,6,4,5,7]=>32
[3,6,1,2,7,5,4]=>[1,3,2,6,5,7,4]=>267
[3,6,1,4,2,5,7]=>[1,3,2,6,5,4,7]=>121
[3,6,1,4,2,7,5]=>[1,3,2,6,7,5,4]=>496
[3,6,1,4,5,2,7]=>[1,3,2,6,4,5,7]=>32
[3,6,1,4,5,7,2]=>[1,3,2,6,7,4,5]=>185
[3,6,1,4,7,2,5]=>[1,3,2,6,4,5,7]=>32
[3,6,1,4,7,5,2]=>[1,3,2,6,5,7,4]=>267
[3,6,1,5,2,4,7]=>[1,3,2,6,4,5,7]=>32
[3,6,1,5,2,7,4]=>[1,3,2,6,7,4,5]=>185
[3,6,1,5,4,2,7]=>[1,3,2,6,4,5,7]=>32
[3,6,1,5,4,7,2]=>[1,3,2,6,7,4,5]=>185
[3,6,1,5,7,2,4]=>[1,3,2,6,4,5,7]=>32
[3,6,1,5,7,4,2]=>[1,3,2,6,4,5,7]=>32
[3,6,1,7,2,4,5]=>[1,3,2,6,4,7,5]=>153
[3,6,1,7,2,5,4]=>[1,3,2,6,5,4,7]=>121
[3,6,1,7,4,2,5]=>[1,3,2,6,4,7,5]=>153
[3,6,1,7,4,5,2]=>[1,3,2,6,5,4,7]=>121
[3,6,1,7,5,2,4]=>[1,3,2,6,4,7,5]=>153
[3,6,1,7,5,4,2]=>[1,3,2,6,4,7,5]=>153
[3,6,2,1,4,5,7]=>[1,3,2,6,5,4,7]=>121
[3,6,2,1,4,7,5]=>[1,3,2,6,7,5,4]=>496
[3,6,2,1,5,4,7]=>[1,3,2,6,4,5,7]=>32
[3,6,2,1,5,7,4]=>[1,3,2,6,7,4,5]=>185
[3,6,2,1,7,4,5]=>[1,3,2,6,4,5,7]=>32
[3,6,2,1,7,5,4]=>[1,3,2,6,5,7,4]=>267
[3,6,2,4,1,5,7]=>[1,3,2,6,5,4,7]=>121
[3,6,2,4,1,7,5]=>[1,3,2,6,7,5,4]=>496
[3,6,2,4,5,1,7]=>[1,3,2,6,4,5,7]=>32
[3,6,2,4,5,7,1]=>[1,3,2,6,7,4,5]=>185
[3,6,2,4,7,1,5]=>[1,3,2,6,4,5,7]=>32
[3,6,2,4,7,5,1]=>[1,3,2,6,5,7,4]=>267
[3,6,2,5,1,4,7]=>[1,3,2,6,4,5,7]=>32
[3,6,2,5,1,7,4]=>[1,3,2,6,7,4,5]=>185
[3,6,2,5,4,1,7]=>[1,3,2,6,4,5,7]=>32
[3,6,2,5,4,7,1]=>[1,3,2,6,7,4,5]=>185
[3,6,2,5,7,1,4]=>[1,3,2,6,4,5,7]=>32
[3,6,2,5,7,4,1]=>[1,3,2,6,4,5,7]=>32
[3,6,2,7,1,4,5]=>[1,3,2,6,4,7,5]=>153
[3,6,2,7,1,5,4]=>[1,3,2,6,5,4,7]=>121
[3,6,2,7,4,1,5]=>[1,3,2,6,4,7,5]=>153
[3,6,2,7,4,5,1]=>[1,3,2,6,5,4,7]=>121
[3,6,2,7,5,1,4]=>[1,3,2,6,4,7,5]=>153
[3,6,2,7,5,4,1]=>[1,3,2,6,4,7,5]=>153
[3,6,4,1,2,5,7]=>[1,3,4,2,6,5,7]=>26
[3,6,4,1,2,7,5]=>[1,3,4,2,6,7,5]=>79
[3,6,4,1,5,2,7]=>[1,3,4,2,6,5,7]=>26
[3,6,4,1,5,7,2]=>[1,3,4,2,6,7,5]=>79
[3,6,4,1,7,2,5]=>[1,3,4,2,6,5,7]=>26
[3,6,4,1,7,5,2]=>[1,3,4,2,6,5,7]=>26
[3,6,4,2,1,5,7]=>[1,3,4,2,6,5,7]=>26
[3,6,4,2,1,7,5]=>[1,3,4,2,6,7,5]=>79
[3,6,4,2,5,1,7]=>[1,3,4,2,6,5,7]=>26
[3,6,4,2,5,7,1]=>[1,3,4,2,6,7,5]=>79
[3,6,4,2,7,1,5]=>[1,3,4,2,6,5,7]=>26
[3,6,4,2,7,5,1]=>[1,3,4,2,6,5,7]=>26
[3,6,4,5,1,2,7]=>[1,3,4,5,2,6,7]=>4
[3,6,4,5,1,7,2]=>[1,3,4,5,2,6,7]=>4
[3,6,4,5,2,1,7]=>[1,3,4,5,2,6,7]=>4
[3,6,4,5,2,7,1]=>[1,3,4,5,2,6,7]=>4
[3,6,4,5,7,1,2]=>[1,3,4,5,7,2,6]=>24
[3,6,4,5,7,2,1]=>[1,3,4,5,7,2,6]=>24
[3,6,4,7,1,2,5]=>[1,3,4,7,5,2,6]=>46
[3,6,4,7,1,5,2]=>[1,3,4,7,2,6,5]=>230
[3,6,4,7,2,1,5]=>[1,3,4,7,5,2,6]=>46
[3,6,4,7,2,5,1]=>[1,3,4,7,2,6,5]=>230
[3,6,4,7,5,1,2]=>[1,3,4,7,2,6,5]=>230
[3,6,4,7,5,2,1]=>[1,3,4,7,2,6,5]=>230
[3,6,5,1,2,4,7]=>[1,3,5,2,6,4,7]=>34
[3,6,5,1,2,7,4]=>[1,3,5,2,6,7,4]=>75
[3,6,5,1,4,2,7]=>[1,3,5,4,2,6,7]=>11
[3,6,5,1,4,7,2]=>[1,3,5,4,2,6,7]=>11
[3,6,5,1,7,2,4]=>[1,3,5,7,4,2,6]=>84
[3,6,5,1,7,4,2]=>[1,3,5,7,2,6,4]=>235
[3,6,5,2,1,4,7]=>[1,3,5,2,6,4,7]=>34
[3,6,5,2,1,7,4]=>[1,3,5,2,6,7,4]=>75
[3,6,5,2,4,1,7]=>[1,3,5,4,2,6,7]=>11
[3,6,5,2,4,7,1]=>[1,3,5,4,2,6,7]=>11
[3,6,5,2,7,1,4]=>[1,3,5,7,4,2,6]=>84
[3,6,5,2,7,4,1]=>[1,3,5,7,2,6,4]=>235
[3,6,5,4,1,2,7]=>[1,3,5,2,6,4,7]=>34
[3,6,5,4,1,7,2]=>[1,3,5,2,6,7,4]=>75
[3,6,5,4,2,1,7]=>[1,3,5,2,6,4,7]=>34
[3,6,5,4,2,7,1]=>[1,3,5,2,6,7,4]=>75
[3,6,5,4,7,1,2]=>[1,3,5,7,2,6,4]=>235
[3,6,5,4,7,2,1]=>[1,3,5,7,2,6,4]=>235
[3,6,5,7,1,2,4]=>[1,3,5,2,6,4,7]=>34
[3,6,5,7,1,4,2]=>[1,3,5,2,6,4,7]=>34
[3,6,5,7,2,1,4]=>[1,3,5,2,6,4,7]=>34
[3,6,5,7,2,4,1]=>[1,3,5,2,6,4,7]=>34
[3,6,5,7,4,1,2]=>[1,3,5,4,7,2,6]=>125
[3,6,5,7,4,2,1]=>[1,3,5,4,7,2,6]=>125
[3,6,7,1,2,4,5]=>[1,3,7,5,2,6,4]=>294
[3,6,7,1,2,5,4]=>[1,3,7,4,2,6,5]=>255
[3,6,7,1,4,2,5]=>[1,3,7,5,4,2,6]=>101
[3,6,7,1,4,5,2]=>[1,3,7,2,6,5,4]=>888
[3,6,7,1,5,2,4]=>[1,3,7,4,2,6,5]=>255
[3,6,7,1,5,4,2]=>[1,3,7,2,6,4,5]=>266
[3,6,7,2,1,4,5]=>[1,3,7,5,2,6,4]=>294
[3,6,7,2,1,5,4]=>[1,3,7,4,2,6,5]=>255
[3,6,7,2,4,1,5]=>[1,3,7,5,4,2,6]=>101
[3,6,7,2,4,5,1]=>[1,3,7,2,6,5,4]=>888
[3,6,7,2,5,1,4]=>[1,3,7,4,2,6,5]=>255
[3,6,7,2,5,4,1]=>[1,3,7,2,6,4,5]=>266
[3,6,7,4,1,2,5]=>[1,3,7,5,2,6,4]=>294
[3,6,7,4,1,5,2]=>[1,3,7,2,6,5,4]=>888
[3,6,7,4,2,1,5]=>[1,3,7,5,2,6,4]=>294
[3,6,7,4,2,5,1]=>[1,3,7,2,6,5,4]=>888
[3,6,7,4,5,1,2]=>[1,3,7,2,6,4,5]=>266
[3,6,7,4,5,2,1]=>[1,3,7,2,6,4,5]=>266
[3,6,7,5,1,2,4]=>[1,3,7,4,5,2,6]=>44
[3,6,7,5,1,4,2]=>[1,3,7,2,6,4,5]=>266
[3,6,7,5,2,1,4]=>[1,3,7,4,5,2,6]=>44
[3,6,7,5,2,4,1]=>[1,3,7,2,6,4,5]=>266
[3,6,7,5,4,1,2]=>[1,3,7,2,6,4,5]=>266
[3,6,7,5,4,2,1]=>[1,3,7,2,6,4,5]=>266
[3,7,1,2,4,5,6]=>[1,3,2,7,6,5,4]=>1514
[3,7,1,2,4,6,5]=>[1,3,2,7,5,4,6]=>267
[3,7,1,2,5,4,6]=>[1,3,2,7,6,4,5]=>496
[3,7,1,2,5,6,4]=>[1,3,2,7,4,5,6]=>61
[3,7,1,2,6,4,5]=>[1,3,2,7,5,6,4]=>610
[3,7,1,2,6,5,4]=>[1,3,2,7,4,5,6]=>61
[3,7,1,4,2,5,6]=>[1,3,2,7,6,5,4]=>1514
[3,7,1,4,2,6,5]=>[1,3,2,7,5,4,6]=>267
[3,7,1,4,5,2,6]=>[1,3,2,7,6,4,5]=>496
[3,7,1,4,5,6,2]=>[1,3,2,7,4,5,6]=>61
[3,7,1,4,6,2,5]=>[1,3,2,7,5,6,4]=>610
[3,7,1,4,6,5,2]=>[1,3,2,7,4,5,6]=>61
[3,7,1,5,2,4,6]=>[1,3,2,7,6,4,5]=>496
[3,7,1,5,2,6,4]=>[1,3,2,7,4,5,6]=>61
[3,7,1,5,4,2,6]=>[1,3,2,7,6,4,5]=>496
[3,7,1,5,4,6,2]=>[1,3,2,7,4,5,6]=>61
[3,7,1,5,6,2,4]=>[1,3,2,7,4,5,6]=>61
[3,7,1,5,6,4,2]=>[1,3,2,7,4,5,6]=>61
[3,7,1,6,2,4,5]=>[1,3,2,7,5,4,6]=>267
[3,7,1,6,2,5,4]=>[1,3,2,7,4,6,5]=>328
[3,7,1,6,4,2,5]=>[1,3,2,7,5,4,6]=>267
[3,7,1,6,4,5,2]=>[1,3,2,7,4,6,5]=>328
[3,7,1,6,5,2,4]=>[1,3,2,7,4,6,5]=>328
[3,7,1,6,5,4,2]=>[1,3,2,7,4,6,5]=>328
[3,7,2,1,4,5,6]=>[1,3,2,7,6,5,4]=>1514
[3,7,2,1,4,6,5]=>[1,3,2,7,5,4,6]=>267
[3,7,2,1,5,4,6]=>[1,3,2,7,6,4,5]=>496
[3,7,2,1,5,6,4]=>[1,3,2,7,4,5,6]=>61
[3,7,2,1,6,4,5]=>[1,3,2,7,5,6,4]=>610
[3,7,2,1,6,5,4]=>[1,3,2,7,4,5,6]=>61
[3,7,2,4,1,5,6]=>[1,3,2,7,6,5,4]=>1514
[3,7,2,4,1,6,5]=>[1,3,2,7,5,4,6]=>267
[3,7,2,4,5,1,6]=>[1,3,2,7,6,4,5]=>496
[3,7,2,4,5,6,1]=>[1,3,2,7,4,5,6]=>61
[3,7,2,4,6,1,5]=>[1,3,2,7,5,6,4]=>610
[3,7,2,4,6,5,1]=>[1,3,2,7,4,5,6]=>61
[3,7,2,5,1,4,6]=>[1,3,2,7,6,4,5]=>496
[3,7,2,5,1,6,4]=>[1,3,2,7,4,5,6]=>61
[3,7,2,5,4,1,6]=>[1,3,2,7,6,4,5]=>496
[3,7,2,5,4,6,1]=>[1,3,2,7,4,5,6]=>61
[3,7,2,5,6,1,4]=>[1,3,2,7,4,5,6]=>61
[3,7,2,5,6,4,1]=>[1,3,2,7,4,5,6]=>61
[3,7,2,6,1,4,5]=>[1,3,2,7,5,4,6]=>267
[3,7,2,6,1,5,4]=>[1,3,2,7,4,6,5]=>328
[3,7,2,6,4,1,5]=>[1,3,2,7,5,4,6]=>267
[3,7,2,6,4,5,1]=>[1,3,2,7,4,6,5]=>328
[3,7,2,6,5,1,4]=>[1,3,2,7,4,6,5]=>328
[3,7,2,6,5,4,1]=>[1,3,2,7,4,6,5]=>328
[3,7,4,1,2,5,6]=>[1,3,4,2,7,6,5]=>398
[3,7,4,1,2,6,5]=>[1,3,4,2,7,5,6]=>77
[3,7,4,1,5,2,6]=>[1,3,4,2,7,6,5]=>398
[3,7,4,1,5,6,2]=>[1,3,4,2,7,5,6]=>77
[3,7,4,1,6,2,5]=>[1,3,4,2,7,5,6]=>77
[3,7,4,1,6,5,2]=>[1,3,4,2,7,5,6]=>77
[3,7,4,2,1,5,6]=>[1,3,4,2,7,6,5]=>398
[3,7,4,2,1,6,5]=>[1,3,4,2,7,5,6]=>77
[3,7,4,2,5,1,6]=>[1,3,4,2,7,6,5]=>398
[3,7,4,2,5,6,1]=>[1,3,4,2,7,5,6]=>77
[3,7,4,2,6,1,5]=>[1,3,4,2,7,5,6]=>77
[3,7,4,2,6,5,1]=>[1,3,4,2,7,5,6]=>77
[3,7,4,5,1,2,6]=>[1,3,4,5,2,7,6]=>43
[3,7,4,5,1,6,2]=>[1,3,4,5,2,7,6]=>43
[3,7,4,5,2,1,6]=>[1,3,4,5,2,7,6]=>43
[3,7,4,5,2,6,1]=>[1,3,4,5,2,7,6]=>43
[3,7,4,5,6,1,2]=>[1,3,4,5,6,2,7]=>5
[3,7,4,5,6,2,1]=>[1,3,4,5,6,2,7]=>5
[3,7,4,6,1,2,5]=>[1,3,4,6,2,7,5]=>80
[3,7,4,6,1,5,2]=>[1,3,4,6,5,2,7]=>19
[3,7,4,6,2,1,5]=>[1,3,4,6,2,7,5]=>80
[3,7,4,6,2,5,1]=>[1,3,4,6,5,2,7]=>19
[3,7,4,6,5,1,2]=>[1,3,4,6,2,7,5]=>80
[3,7,4,6,5,2,1]=>[1,3,4,6,2,7,5]=>80
[3,7,5,1,2,4,6]=>[1,3,5,2,7,6,4]=>480
[3,7,5,1,2,6,4]=>[1,3,5,2,7,4,6]=>172
[3,7,5,1,4,2,6]=>[1,3,5,4,2,7,6]=>221
[3,7,5,1,4,6,2]=>[1,3,5,4,2,7,6]=>221
[3,7,5,1,6,2,4]=>[1,3,5,6,2,7,4]=>70
[3,7,5,1,6,4,2]=>[1,3,5,6,4,2,7]=>26
[3,7,5,2,1,4,6]=>[1,3,5,2,7,6,4]=>480
[3,7,5,2,1,6,4]=>[1,3,5,2,7,4,6]=>172
[3,7,5,2,4,1,6]=>[1,3,5,4,2,7,6]=>221
[3,7,5,2,4,6,1]=>[1,3,5,4,2,7,6]=>221
[3,7,5,2,6,1,4]=>[1,3,5,6,2,7,4]=>70
[3,7,5,2,6,4,1]=>[1,3,5,6,4,2,7]=>26
[3,7,5,4,1,2,6]=>[1,3,5,2,7,6,4]=>480
[3,7,5,4,1,6,2]=>[1,3,5,2,7,4,6]=>172
[3,7,5,4,2,1,6]=>[1,3,5,2,7,6,4]=>480
[3,7,5,4,2,6,1]=>[1,3,5,2,7,4,6]=>172
[3,7,5,4,6,1,2]=>[1,3,5,6,2,7,4]=>70
[3,7,5,4,6,2,1]=>[1,3,5,6,2,7,4]=>70
[3,7,5,6,1,2,4]=>[1,3,5,2,7,4,6]=>172
[3,7,5,6,1,4,2]=>[1,3,5,2,7,4,6]=>172
[3,7,5,6,2,1,4]=>[1,3,5,2,7,4,6]=>172
[3,7,5,6,2,4,1]=>[1,3,5,2,7,4,6]=>172
[3,7,5,6,4,1,2]=>[1,3,5,4,6,2,7]=>14
[3,7,5,6,4,2,1]=>[1,3,5,4,6,2,7]=>14
[3,7,6,1,2,4,5]=>[1,3,6,4,2,7,5]=>150
[3,7,6,1,2,5,4]=>[1,3,6,5,2,7,4]=>165
[3,7,6,1,4,2,5]=>[1,3,6,2,7,5,4]=>456
[3,7,6,1,4,5,2]=>[1,3,6,5,4,2,7]=>58
[3,7,6,1,5,2,4]=>[1,3,6,2,7,4,5]=>144
[3,7,6,1,5,4,2]=>[1,3,6,4,2,7,5]=>150
[3,7,6,2,1,4,5]=>[1,3,6,4,2,7,5]=>150
[3,7,6,2,1,5,4]=>[1,3,6,5,2,7,4]=>165
[3,7,6,2,4,1,5]=>[1,3,6,2,7,5,4]=>456
[3,7,6,2,4,5,1]=>[1,3,6,5,4,2,7]=>58
[3,7,6,2,5,1,4]=>[1,3,6,2,7,4,5]=>144
[3,7,6,2,5,4,1]=>[1,3,6,4,2,7,5]=>150
[3,7,6,4,1,2,5]=>[1,3,6,2,7,5,4]=>456
[3,7,6,4,1,5,2]=>[1,3,6,5,2,7,4]=>165
[3,7,6,4,2,1,5]=>[1,3,6,2,7,5,4]=>456
[3,7,6,4,2,5,1]=>[1,3,6,5,2,7,4]=>165
[3,7,6,4,5,1,2]=>[1,3,6,2,7,4,5]=>144
[3,7,6,4,5,2,1]=>[1,3,6,2,7,4,5]=>144
[3,7,6,5,1,2,4]=>[1,3,6,2,7,4,5]=>144
[3,7,6,5,1,4,2]=>[1,3,6,4,5,2,7]=>27
[3,7,6,5,2,1,4]=>[1,3,6,2,7,4,5]=>144
[3,7,6,5,2,4,1]=>[1,3,6,4,5,2,7]=>27
[3,7,6,5,4,1,2]=>[1,3,6,2,7,4,5]=>144
[3,7,6,5,4,2,1]=>[1,3,6,2,7,4,5]=>144
[4,1,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>5
[4,1,2,3,5,7,6]=>[1,4,3,2,5,6,7]=>5
[4,1,2,3,6,5,7]=>[1,4,3,2,5,6,7]=>5
[4,1,2,3,6,7,5]=>[1,4,3,2,5,6,7]=>5
[4,1,2,3,7,5,6]=>[1,4,3,2,5,7,6]=>72
[4,1,2,3,7,6,5]=>[1,4,3,2,5,7,6]=>72
[4,1,2,5,3,6,7]=>[1,4,5,3,2,6,7]=>9
[4,1,2,5,3,7,6]=>[1,4,5,3,2,6,7]=>9
[4,1,2,5,6,3,7]=>[1,4,5,6,3,2,7]=>14
[4,1,2,5,6,7,3]=>[1,4,5,6,7,3,2]=>20
[4,1,2,5,7,3,6]=>[1,4,5,7,6,3,2]=>74
[4,1,2,5,7,6,3]=>[1,4,5,7,3,2,6]=>51
[4,1,2,6,3,5,7]=>[1,4,6,5,3,2,7]=>37
[4,1,2,6,3,7,5]=>[1,4,6,7,5,3,2]=>97
[4,1,2,6,5,3,7]=>[1,4,6,3,2,5,7]=>23
[4,1,2,6,5,7,3]=>[1,4,6,7,3,2,5]=>65
[4,1,2,6,7,3,5]=>[1,4,6,3,2,5,7]=>23
[4,1,2,6,7,5,3]=>[1,4,6,5,7,3,2]=>54
[4,1,2,7,3,5,6]=>[1,4,7,6,5,3,2]=>211
[4,1,2,7,3,6,5]=>[1,4,7,5,3,2,6]=>69
[4,1,2,7,5,3,6]=>[1,4,7,6,3,2,5]=>139
[4,1,2,7,5,6,3]=>[1,4,7,3,2,5,6]=>42
[4,1,2,7,6,3,5]=>[1,4,7,5,6,3,2]=>102
[4,1,2,7,6,5,3]=>[1,4,7,3,2,5,6]=>42
[4,1,3,2,5,6,7]=>[1,4,2,3,5,6,7]=>3
[4,1,3,2,5,7,6]=>[1,4,2,3,5,6,7]=>3
[4,1,3,2,6,5,7]=>[1,4,2,3,5,6,7]=>3
[4,1,3,2,6,7,5]=>[1,4,2,3,5,6,7]=>3
[4,1,3,2,7,5,6]=>[1,4,2,3,5,7,6]=>29
[4,1,3,2,7,6,5]=>[1,4,2,3,5,7,6]=>29
[4,1,3,5,2,6,7]=>[1,4,5,2,3,6,7]=>6
[4,1,3,5,2,7,6]=>[1,4,5,2,3,6,7]=>6
[4,1,3,5,6,2,7]=>[1,4,5,6,2,3,7]=>10
[4,1,3,5,6,7,2]=>[1,4,5,6,7,2,3]=>15
[4,1,3,5,7,2,6]=>[1,4,5,7,6,2,3]=>55
[4,1,3,5,7,6,2]=>[1,4,5,7,2,3,6]=>36
[4,1,3,6,2,5,7]=>[1,4,6,5,2,3,7]=>26
[4,1,3,6,2,7,5]=>[1,4,6,7,5,2,3]=>71
[4,1,3,6,5,2,7]=>[1,4,6,2,3,5,7]=>15
[4,1,3,6,5,7,2]=>[1,4,6,7,2,3,5]=>45
[4,1,3,6,7,2,5]=>[1,4,6,2,3,5,7]=>15
[4,1,3,6,7,5,2]=>[1,4,6,5,7,2,3]=>40
[4,1,3,7,2,5,6]=>[1,4,7,6,5,2,3]=>153
[4,1,3,7,2,6,5]=>[1,4,7,5,2,3,6]=>48
[4,1,3,7,5,2,6]=>[1,4,7,6,2,3,5]=>95
[4,1,3,7,5,6,2]=>[1,4,7,2,3,5,6]=>27
[4,1,3,7,6,2,5]=>[1,4,7,5,6,2,3]=>75
[4,1,3,7,6,5,2]=>[1,4,7,2,3,5,6]=>27
[4,1,5,2,3,6,7]=>[1,4,2,3,5,6,7]=>3
[4,1,5,2,3,7,6]=>[1,4,2,3,5,6,7]=>3
[4,1,5,2,6,3,7]=>[1,4,2,3,5,6,7]=>3
[4,1,5,2,6,7,3]=>[1,4,2,3,5,6,7]=>3
[4,1,5,2,7,3,6]=>[1,4,2,3,5,7,6]=>29
[4,1,5,2,7,6,3]=>[1,4,2,3,5,7,6]=>29
[4,1,5,3,2,6,7]=>[1,4,3,5,2,6,7]=>7
[4,1,5,3,2,7,6]=>[1,4,3,5,2,6,7]=>7
[4,1,5,3,6,2,7]=>[1,4,3,5,6,2,7]=>9
[4,1,5,3,6,7,2]=>[1,4,3,5,6,7,2]=>11
[4,1,5,3,7,2,6]=>[1,4,3,5,7,6,2]=>77
[4,1,5,3,7,6,2]=>[1,4,3,5,7,2,6]=>62
[4,1,5,6,2,3,7]=>[1,4,6,3,5,2,7]=>31
[4,1,5,6,2,7,3]=>[1,4,6,7,3,5,2]=>85
[4,1,5,6,3,2,7]=>[1,4,6,2,3,5,7]=>15
[4,1,5,6,3,7,2]=>[1,4,6,7,2,3,5]=>45
[4,1,5,6,7,2,3]=>[1,4,6,2,3,5,7]=>15
[4,1,5,6,7,3,2]=>[1,4,6,3,5,7,2]=>39
[4,1,5,7,2,3,6]=>[1,4,7,6,3,5,2]=>183
[4,1,5,7,2,6,3]=>[1,4,7,3,5,2,6]=>57
[4,1,5,7,3,2,6]=>[1,4,7,6,2,3,5]=>95
[4,1,5,7,3,6,2]=>[1,4,7,2,3,5,6]=>27
[4,1,5,7,6,2,3]=>[1,4,7,3,5,6,2]=>72
[4,1,5,7,6,3,2]=>[1,4,7,2,3,5,6]=>27
[4,1,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>26
[4,1,6,2,3,7,5]=>[1,4,2,3,6,7,5]=>77
[4,1,6,2,5,3,7]=>[1,4,2,3,6,5,7]=>26
[4,1,6,2,5,7,3]=>[1,4,2,3,6,7,5]=>77
[4,1,6,2,7,3,5]=>[1,4,2,3,6,5,7]=>26
[4,1,6,2,7,5,3]=>[1,4,2,3,6,5,7]=>26
[4,1,6,3,2,5,7]=>[1,4,3,6,5,2,7]=>53
[4,1,6,3,2,7,5]=>[1,4,3,6,7,5,2]=>154
[4,1,6,3,5,2,7]=>[1,4,3,6,2,5,7]=>40
[4,1,6,3,5,7,2]=>[1,4,3,6,7,2,5]=>122
[4,1,6,3,7,2,5]=>[1,4,3,6,2,5,7]=>40
[4,1,6,3,7,5,2]=>[1,4,3,6,5,7,2]=>66
[4,1,6,5,2,3,7]=>[1,4,5,2,3,6,7]=>6
[4,1,6,5,2,7,3]=>[1,4,5,2,3,6,7]=>6
[4,1,6,5,3,2,7]=>[1,4,5,3,6,2,7]=>12
[4,1,6,5,3,7,2]=>[1,4,5,3,6,7,2]=>15
[4,1,6,5,7,2,3]=>[1,4,5,7,3,6,2]=>66
[4,1,6,5,7,3,2]=>[1,4,5,7,2,3,6]=>36
[4,1,6,7,2,3,5]=>[1,4,7,5,2,3,6]=>48
[4,1,6,7,2,5,3]=>[1,4,7,3,6,5,2]=>324
[4,1,6,7,3,2,5]=>[1,4,7,5,3,6,2]=>90
[4,1,6,7,3,5,2]=>[1,4,7,2,3,6,5]=>183
[4,1,6,7,5,2,3]=>[1,4,7,3,6,2,5]=>250
[4,1,6,7,5,3,2]=>[1,4,7,2,3,6,5]=>183
[4,1,7,2,3,5,6]=>[1,4,2,3,7,6,5]=>398
[4,1,7,2,3,6,5]=>[1,4,2,3,7,5,6]=>79
[4,1,7,2,5,3,6]=>[1,4,2,3,7,6,5]=>398
[4,1,7,2,5,6,3]=>[1,4,2,3,7,5,6]=>79
[4,1,7,2,6,3,5]=>[1,4,2,3,7,5,6]=>79
[4,1,7,2,6,5,3]=>[1,4,2,3,7,5,6]=>79
[4,1,7,3,2,5,6]=>[1,4,3,7,6,5,2]=>553
[4,1,7,3,2,6,5]=>[1,4,3,7,5,2,6]=>127
[4,1,7,3,5,2,6]=>[1,4,3,7,6,2,5]=>432
[4,1,7,3,5,6,2]=>[1,4,3,7,2,5,6]=>95
[4,1,7,3,6,2,5]=>[1,4,3,7,5,6,2]=>159
[4,1,7,3,6,5,2]=>[1,4,3,7,2,5,6]=>95
[4,1,7,5,2,3,6]=>[1,4,5,2,3,7,6]=>74
[4,1,7,5,2,6,3]=>[1,4,5,2,3,7,6]=>74
[4,1,7,5,3,2,6]=>[1,4,5,3,7,6,2]=>120
[4,1,7,5,3,6,2]=>[1,4,5,3,7,2,6]=>94
[4,1,7,5,6,2,3]=>[1,4,5,6,2,3,7]=>10
[4,1,7,5,6,3,2]=>[1,4,5,6,3,7,2]=>18
[4,1,7,6,2,3,5]=>[1,4,6,3,7,5,2]=>152
[4,1,7,6,2,5,3]=>[1,4,6,5,2,3,7]=>26
[4,1,7,6,3,2,5]=>[1,4,6,2,3,7,5]=>89
[4,1,7,6,3,5,2]=>[1,4,6,5,3,7,2]=>48
[4,1,7,6,5,2,3]=>[1,4,6,2,3,7,5]=>89
[4,1,7,6,5,3,2]=>[1,4,6,3,7,2,5]=>118
[4,2,1,3,5,6,7]=>[1,4,3,2,5,6,7]=>5
[4,2,1,3,5,7,6]=>[1,4,3,2,5,6,7]=>5
[4,2,1,3,6,5,7]=>[1,4,3,2,5,6,7]=>5
[4,2,1,3,6,7,5]=>[1,4,3,2,5,6,7]=>5
[4,2,1,3,7,5,6]=>[1,4,3,2,5,7,6]=>72
[4,2,1,3,7,6,5]=>[1,4,3,2,5,7,6]=>72
[4,2,1,5,3,6,7]=>[1,4,5,3,2,6,7]=>9
[4,2,1,5,3,7,6]=>[1,4,5,3,2,6,7]=>9
[4,2,1,5,6,3,7]=>[1,4,5,6,3,2,7]=>14
[4,2,1,5,6,7,3]=>[1,4,5,6,7,3,2]=>20
[4,2,1,5,7,3,6]=>[1,4,5,7,6,3,2]=>74
[4,2,1,5,7,6,3]=>[1,4,5,7,3,2,6]=>51
[4,2,1,6,3,5,7]=>[1,4,6,5,3,2,7]=>37
[4,2,1,6,3,7,5]=>[1,4,6,7,5,3,2]=>97
[4,2,1,6,5,3,7]=>[1,4,6,3,2,5,7]=>23
[4,2,1,6,5,7,3]=>[1,4,6,7,3,2,5]=>65
[4,2,1,6,7,3,5]=>[1,4,6,3,2,5,7]=>23
[4,2,1,6,7,5,3]=>[1,4,6,5,7,3,2]=>54
[4,2,1,7,3,5,6]=>[1,4,7,6,5,3,2]=>211
[4,2,1,7,3,6,5]=>[1,4,7,5,3,2,6]=>69
[4,2,1,7,5,3,6]=>[1,4,7,6,3,2,5]=>139
[4,2,1,7,5,6,3]=>[1,4,7,3,2,5,6]=>42
[4,2,1,7,6,3,5]=>[1,4,7,5,6,3,2]=>102
[4,2,1,7,6,5,3]=>[1,4,7,3,2,5,6]=>42
[4,2,3,1,5,6,7]=>[1,4,2,3,5,6,7]=>3
[4,2,3,1,5,7,6]=>[1,4,2,3,5,6,7]=>3
[4,2,3,1,6,5,7]=>[1,4,2,3,5,6,7]=>3
[4,2,3,1,6,7,5]=>[1,4,2,3,5,6,7]=>3
[4,2,3,1,7,5,6]=>[1,4,2,3,5,7,6]=>29
[4,2,3,1,7,6,5]=>[1,4,2,3,5,7,6]=>29
[4,2,3,5,1,6,7]=>[1,4,5,2,3,6,7]=>6
[4,2,3,5,1,7,6]=>[1,4,5,2,3,6,7]=>6
[4,2,3,5,6,1,7]=>[1,4,5,6,2,3,7]=>10
[4,2,3,5,6,7,1]=>[1,4,5,6,7,2,3]=>15
[4,2,3,5,7,1,6]=>[1,4,5,7,6,2,3]=>55
[4,2,3,5,7,6,1]=>[1,4,5,7,2,3,6]=>36
[4,2,3,6,1,5,7]=>[1,4,6,5,2,3,7]=>26
[4,2,3,6,1,7,5]=>[1,4,6,7,5,2,3]=>71
[4,2,3,6,5,1,7]=>[1,4,6,2,3,5,7]=>15
[4,2,3,6,5,7,1]=>[1,4,6,7,2,3,5]=>45
[4,2,3,6,7,1,5]=>[1,4,6,2,3,5,7]=>15
[4,2,3,6,7,5,1]=>[1,4,6,5,7,2,3]=>40
[4,2,3,7,1,5,6]=>[1,4,7,6,5,2,3]=>153
[4,2,3,7,1,6,5]=>[1,4,7,5,2,3,6]=>48
[4,2,3,7,5,1,6]=>[1,4,7,6,2,3,5]=>95
[4,2,3,7,5,6,1]=>[1,4,7,2,3,5,6]=>27
[4,2,3,7,6,1,5]=>[1,4,7,5,6,2,3]=>75
[4,2,3,7,6,5,1]=>[1,4,7,2,3,5,6]=>27
[4,2,5,1,3,6,7]=>[1,4,2,3,5,6,7]=>3
[4,2,5,1,3,7,6]=>[1,4,2,3,5,6,7]=>3
[4,2,5,1,6,3,7]=>[1,4,2,3,5,6,7]=>3
[4,2,5,1,6,7,3]=>[1,4,2,3,5,6,7]=>3
[4,2,5,1,7,3,6]=>[1,4,2,3,5,7,6]=>29
[4,2,5,1,7,6,3]=>[1,4,2,3,5,7,6]=>29
[4,2,5,3,1,6,7]=>[1,4,3,5,2,6,7]=>7
[4,2,5,3,1,7,6]=>[1,4,3,5,2,6,7]=>7
[4,2,5,3,6,1,7]=>[1,4,3,5,6,2,7]=>9
[4,2,5,3,6,7,1]=>[1,4,3,5,6,7,2]=>11
[4,2,5,3,7,1,6]=>[1,4,3,5,7,6,2]=>77
[4,2,5,3,7,6,1]=>[1,4,3,5,7,2,6]=>62
[4,2,5,6,1,3,7]=>[1,4,6,3,5,2,7]=>31
[4,2,5,6,1,7,3]=>[1,4,6,7,3,5,2]=>85
[4,2,5,6,3,1,7]=>[1,4,6,2,3,5,7]=>15
[4,2,5,6,3,7,1]=>[1,4,6,7,2,3,5]=>45
[4,2,5,6,7,1,3]=>[1,4,6,2,3,5,7]=>15
[4,2,5,6,7,3,1]=>[1,4,6,3,5,7,2]=>39
[4,2,5,7,1,3,6]=>[1,4,7,6,3,5,2]=>183
[4,2,5,7,1,6,3]=>[1,4,7,3,5,2,6]=>57
[4,2,5,7,3,1,6]=>[1,4,7,6,2,3,5]=>95
[4,2,5,7,3,6,1]=>[1,4,7,2,3,5,6]=>27
[4,2,5,7,6,1,3]=>[1,4,7,3,5,6,2]=>72
[4,2,5,7,6,3,1]=>[1,4,7,2,3,5,6]=>27
[4,2,6,1,3,5,7]=>[1,4,2,3,6,5,7]=>26
[4,2,6,1,3,7,5]=>[1,4,2,3,6,7,5]=>77
[4,2,6,1,5,3,7]=>[1,4,2,3,6,5,7]=>26
[4,2,6,1,5,7,3]=>[1,4,2,3,6,7,5]=>77
[4,2,6,1,7,3,5]=>[1,4,2,3,6,5,7]=>26
[4,2,6,1,7,5,3]=>[1,4,2,3,6,5,7]=>26
[4,2,6,3,1,5,7]=>[1,4,3,6,5,2,7]=>53
[4,2,6,3,1,7,5]=>[1,4,3,6,7,5,2]=>154
[4,2,6,3,5,1,7]=>[1,4,3,6,2,5,7]=>40
[4,2,6,3,5,7,1]=>[1,4,3,6,7,2,5]=>122
[4,2,6,3,7,1,5]=>[1,4,3,6,2,5,7]=>40
[4,2,6,3,7,5,1]=>[1,4,3,6,5,7,2]=>66
[4,2,6,5,1,3,7]=>[1,4,5,2,3,6,7]=>6
[4,2,6,5,1,7,3]=>[1,4,5,2,3,6,7]=>6
[4,2,6,5,3,1,7]=>[1,4,5,3,6,2,7]=>12
[4,2,6,5,3,7,1]=>[1,4,5,3,6,7,2]=>15
[4,2,6,5,7,1,3]=>[1,4,5,7,3,6,2]=>66
[4,2,6,5,7,3,1]=>[1,4,5,7,2,3,6]=>36
[4,2,6,7,1,3,5]=>[1,4,7,5,2,3,6]=>48
[4,2,6,7,1,5,3]=>[1,4,7,3,6,5,2]=>324
[4,2,6,7,3,1,5]=>[1,4,7,5,3,6,2]=>90
[4,2,6,7,3,5,1]=>[1,4,7,2,3,6,5]=>183
[4,2,6,7,5,1,3]=>[1,4,7,3,6,2,5]=>250
[4,2,6,7,5,3,1]=>[1,4,7,2,3,6,5]=>183
[4,2,7,1,3,5,6]=>[1,4,2,3,7,6,5]=>398
[4,2,7,1,3,6,5]=>[1,4,2,3,7,5,6]=>79
[4,2,7,1,5,3,6]=>[1,4,2,3,7,6,5]=>398
[4,2,7,1,5,6,3]=>[1,4,2,3,7,5,6]=>79
[4,2,7,1,6,3,5]=>[1,4,2,3,7,5,6]=>79
[4,2,7,1,6,5,3]=>[1,4,2,3,7,5,6]=>79
[4,2,7,3,1,5,6]=>[1,4,3,7,6,5,2]=>553
[4,2,7,3,1,6,5]=>[1,4,3,7,5,2,6]=>127
[4,2,7,3,5,1,6]=>[1,4,3,7,6,2,5]=>432
[4,2,7,3,5,6,1]=>[1,4,3,7,2,5,6]=>95
[4,2,7,3,6,1,5]=>[1,4,3,7,5,6,2]=>159
[4,2,7,3,6,5,1]=>[1,4,3,7,2,5,6]=>95
[4,2,7,5,1,3,6]=>[1,4,5,2,3,7,6]=>74
[4,2,7,5,1,6,3]=>[1,4,5,2,3,7,6]=>74
[4,2,7,5,3,1,6]=>[1,4,5,3,7,6,2]=>120
[4,2,7,5,3,6,1]=>[1,4,5,3,7,2,6]=>94
[4,2,7,5,6,1,3]=>[1,4,5,6,2,3,7]=>10
[4,2,7,5,6,3,1]=>[1,4,5,6,3,7,2]=>18
[4,2,7,6,1,3,5]=>[1,4,6,3,7,5,2]=>152
[4,2,7,6,1,5,3]=>[1,4,6,5,2,3,7]=>26
[4,2,7,6,3,1,5]=>[1,4,6,2,3,7,5]=>89
[4,2,7,6,3,5,1]=>[1,4,6,5,3,7,2]=>48
[4,2,7,6,5,1,3]=>[1,4,6,2,3,7,5]=>89
[4,2,7,6,5,3,1]=>[1,4,6,3,7,2,5]=>118
[4,3,1,2,5,6,7]=>[1,4,2,3,5,6,7]=>3
[4,3,1,2,5,7,6]=>[1,4,2,3,5,6,7]=>3
[4,3,1,2,6,5,7]=>[1,4,2,3,5,6,7]=>3
[4,3,1,2,6,7,5]=>[1,4,2,3,5,6,7]=>3
[4,3,1,2,7,5,6]=>[1,4,2,3,5,7,6]=>29
[4,3,1,2,7,6,5]=>[1,4,2,3,5,7,6]=>29
[4,3,1,5,2,6,7]=>[1,4,5,2,3,6,7]=>6
[4,3,1,5,2,7,6]=>[1,4,5,2,3,6,7]=>6
[4,3,1,5,6,2,7]=>[1,4,5,6,2,3,7]=>10
[4,3,1,5,6,7,2]=>[1,4,5,6,7,2,3]=>15
[4,3,1,5,7,2,6]=>[1,4,5,7,6,2,3]=>55
[4,3,1,5,7,6,2]=>[1,4,5,7,2,3,6]=>36
[4,3,1,6,2,5,7]=>[1,4,6,5,2,3,7]=>26
[4,3,1,6,2,7,5]=>[1,4,6,7,5,2,3]=>71
[4,3,1,6,5,2,7]=>[1,4,6,2,3,5,7]=>15
[4,3,1,6,5,7,2]=>[1,4,6,7,2,3,5]=>45
[4,3,1,6,7,2,5]=>[1,4,6,2,3,5,7]=>15
[4,3,1,6,7,5,2]=>[1,4,6,5,7,2,3]=>40
[4,3,1,7,2,5,6]=>[1,4,7,6,5,2,3]=>153
[4,3,1,7,2,6,5]=>[1,4,7,5,2,3,6]=>48
[4,3,1,7,5,2,6]=>[1,4,7,6,2,3,5]=>95
[4,3,1,7,5,6,2]=>[1,4,7,2,3,5,6]=>27
[4,3,1,7,6,2,5]=>[1,4,7,5,6,2,3]=>75
[4,3,1,7,6,5,2]=>[1,4,7,2,3,5,6]=>27
[4,3,2,1,5,6,7]=>[1,4,2,3,5,6,7]=>3
[4,3,2,1,5,7,6]=>[1,4,2,3,5,6,7]=>3
[4,3,2,1,6,5,7]=>[1,4,2,3,5,6,7]=>3
[4,3,2,1,6,7,5]=>[1,4,2,3,5,6,7]=>3
[4,3,2,1,7,5,6]=>[1,4,2,3,5,7,6]=>29
[4,3,2,1,7,6,5]=>[1,4,2,3,5,7,6]=>29
[4,3,2,5,1,6,7]=>[1,4,5,2,3,6,7]=>6
[4,3,2,5,1,7,6]=>[1,4,5,2,3,6,7]=>6
[4,3,2,5,6,1,7]=>[1,4,5,6,2,3,7]=>10
[4,3,2,5,6,7,1]=>[1,4,5,6,7,2,3]=>15
[4,3,2,5,7,1,6]=>[1,4,5,7,6,2,3]=>55
[4,3,2,5,7,6,1]=>[1,4,5,7,2,3,6]=>36
[4,3,2,6,1,5,7]=>[1,4,6,5,2,3,7]=>26
[4,3,2,6,1,7,5]=>[1,4,6,7,5,2,3]=>71
[4,3,2,6,5,1,7]=>[1,4,6,2,3,5,7]=>15
[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>45
[4,3,2,6,7,1,5]=>[1,4,6,2,3,5,7]=>15
[4,3,2,6,7,5,1]=>[1,4,6,5,7,2,3]=>40
[4,3,2,7,1,5,6]=>[1,4,7,6,5,2,3]=>153
[4,3,2,7,1,6,5]=>[1,4,7,5,2,3,6]=>48
[4,3,2,7,5,1,6]=>[1,4,7,6,2,3,5]=>95
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>27
[4,3,2,7,6,1,5]=>[1,4,7,5,6,2,3]=>75
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>27
[4,3,5,1,2,6,7]=>[1,4,2,3,5,6,7]=>3
[4,3,5,1,2,7,6]=>[1,4,2,3,5,6,7]=>3
[4,3,5,1,6,2,7]=>[1,4,2,3,5,6,7]=>3
[4,3,5,1,6,7,2]=>[1,4,2,3,5,6,7]=>3
[4,3,5,1,7,2,6]=>[1,4,2,3,5,7,6]=>29
[4,3,5,1,7,6,2]=>[1,4,2,3,5,7,6]=>29
[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>3
[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>3
[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>3
[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>3
[4,3,5,2,7,1,6]=>[1,4,2,3,5,7,6]=>29
[4,3,5,2,7,6,1]=>[1,4,2,3,5,7,6]=>29
[4,3,5,6,1,2,7]=>[1,4,6,2,3,5,7]=>15
[4,3,5,6,1,7,2]=>[1,4,6,7,2,3,5]=>45
[4,3,5,6,2,1,7]=>[1,4,6,2,3,5,7]=>15
[4,3,5,6,2,7,1]=>[1,4,6,7,2,3,5]=>45
[4,3,5,6,7,1,2]=>[1,4,6,2,3,5,7]=>15
[4,3,5,6,7,2,1]=>[1,4,6,2,3,5,7]=>15
[4,3,5,7,1,2,6]=>[1,4,7,6,2,3,5]=>95
[4,3,5,7,1,6,2]=>[1,4,7,2,3,5,6]=>27
[4,3,5,7,2,1,6]=>[1,4,7,6,2,3,5]=>95
[4,3,5,7,2,6,1]=>[1,4,7,2,3,5,6]=>27
[4,3,5,7,6,1,2]=>[1,4,7,2,3,5,6]=>27
[4,3,5,7,6,2,1]=>[1,4,7,2,3,5,6]=>27
[4,3,6,1,2,5,7]=>[1,4,2,3,6,5,7]=>26
[4,3,6,1,2,7,5]=>[1,4,2,3,6,7,5]=>77
[4,3,6,1,5,2,7]=>[1,4,2,3,6,5,7]=>26
[4,3,6,1,5,7,2]=>[1,4,2,3,6,7,5]=>77
[4,3,6,1,7,2,5]=>[1,4,2,3,6,5,7]=>26
[4,3,6,1,7,5,2]=>[1,4,2,3,6,5,7]=>26
[4,3,6,2,1,5,7]=>[1,4,2,3,6,5,7]=>26
[4,3,6,2,1,7,5]=>[1,4,2,3,6,7,5]=>77
[4,3,6,2,5,1,7]=>[1,4,2,3,6,5,7]=>26
[4,3,6,2,5,7,1]=>[1,4,2,3,6,7,5]=>77
[4,3,6,2,7,1,5]=>[1,4,2,3,6,5,7]=>26
[4,3,6,2,7,5,1]=>[1,4,2,3,6,5,7]=>26
[4,3,6,5,1,2,7]=>[1,4,5,2,3,6,7]=>6
[4,3,6,5,1,7,2]=>[1,4,5,2,3,6,7]=>6
[4,3,6,5,2,1,7]=>[1,4,5,2,3,6,7]=>6
[4,3,6,5,2,7,1]=>[1,4,5,2,3,6,7]=>6
[4,3,6,5,7,1,2]=>[1,4,5,7,2,3,6]=>36
[4,3,6,5,7,2,1]=>[1,4,5,7,2,3,6]=>36
[4,3,6,7,1,2,5]=>[1,4,7,5,2,3,6]=>48
[4,3,6,7,1,5,2]=>[1,4,7,2,3,6,5]=>183
[4,3,6,7,2,1,5]=>[1,4,7,5,2,3,6]=>48
[4,3,6,7,2,5,1]=>[1,4,7,2,3,6,5]=>183
[4,3,6,7,5,1,2]=>[1,4,7,2,3,6,5]=>183
[4,3,6,7,5,2,1]=>[1,4,7,2,3,6,5]=>183
[4,3,7,1,2,5,6]=>[1,4,2,3,7,6,5]=>398
[4,3,7,1,2,6,5]=>[1,4,2,3,7,5,6]=>79
[4,3,7,1,5,2,6]=>[1,4,2,3,7,6,5]=>398
[4,3,7,1,5,6,2]=>[1,4,2,3,7,5,6]=>79
[4,3,7,1,6,2,5]=>[1,4,2,3,7,5,6]=>79
[4,3,7,1,6,5,2]=>[1,4,2,3,7,5,6]=>79
[4,3,7,2,1,5,6]=>[1,4,2,3,7,6,5]=>398
[4,3,7,2,1,6,5]=>[1,4,2,3,7,5,6]=>79
[4,3,7,2,5,1,6]=>[1,4,2,3,7,6,5]=>398
[4,3,7,2,5,6,1]=>[1,4,2,3,7,5,6]=>79
[4,3,7,2,6,1,5]=>[1,4,2,3,7,5,6]=>79
[4,3,7,2,6,5,1]=>[1,4,2,3,7,5,6]=>79
[4,3,7,5,1,2,6]=>[1,4,5,2,3,7,6]=>74
[4,3,7,5,1,6,2]=>[1,4,5,2,3,7,6]=>74
[4,3,7,5,2,1,6]=>[1,4,5,2,3,7,6]=>74
[4,3,7,5,2,6,1]=>[1,4,5,2,3,7,6]=>74
[4,3,7,5,6,1,2]=>[1,4,5,6,2,3,7]=>10
[4,3,7,5,6,2,1]=>[1,4,5,6,2,3,7]=>10
[4,3,7,6,1,2,5]=>[1,4,6,2,3,7,5]=>89
[4,3,7,6,1,5,2]=>[1,4,6,5,2,3,7]=>26
[4,3,7,6,2,1,5]=>[1,4,6,2,3,7,5]=>89
[4,3,7,6,2,5,1]=>[1,4,6,5,2,3,7]=>26
[4,3,7,6,5,1,2]=>[1,4,6,2,3,7,5]=>89
[4,3,7,6,5,2,1]=>[1,4,6,2,3,7,5]=>89
[4,5,1,2,3,6,7]=>[1,4,2,5,3,6,7]=>8
[4,5,1,2,3,7,6]=>[1,4,2,5,3,6,7]=>8
[4,5,1,2,6,3,7]=>[1,4,2,5,6,3,7]=>15
[4,5,1,2,6,7,3]=>[1,4,2,5,6,7,3]=>24
[4,5,1,2,7,3,6]=>[1,4,2,5,7,6,3]=>151
[4,5,1,2,7,6,3]=>[1,4,2,5,7,3,6]=>89
[4,5,1,3,2,6,7]=>[1,4,3,2,5,6,7]=>5
[4,5,1,3,2,7,6]=>[1,4,3,2,5,6,7]=>5
[4,5,1,3,6,2,7]=>[1,4,3,2,5,6,7]=>5
[4,5,1,3,6,7,2]=>[1,4,3,2,5,6,7]=>5
[4,5,1,3,7,2,6]=>[1,4,3,2,5,7,6]=>72
[4,5,1,3,7,6,2]=>[1,4,3,2,5,7,6]=>72
[4,5,1,6,2,3,7]=>[1,4,6,3,2,5,7]=>23
[4,5,1,6,2,7,3]=>[1,4,6,7,3,2,5]=>65
[4,5,1,6,3,2,7]=>[1,4,6,2,5,3,7]=>38
[4,5,1,6,3,7,2]=>[1,4,6,7,2,5,3]=>110
[4,5,1,6,7,2,3]=>[1,4,6,2,5,7,3]=>69
[4,5,1,6,7,3,2]=>[1,4,6,3,2,5,7]=>23
[4,5,1,7,2,3,6]=>[1,4,7,6,3,2,5]=>139
[4,5,1,7,2,6,3]=>[1,4,7,3,2,5,6]=>42
[4,5,1,7,3,2,6]=>[1,4,7,6,2,5,3]=>234
[4,5,1,7,3,6,2]=>[1,4,7,2,5,3,6]=>69
[4,5,1,7,6,2,3]=>[1,4,7,3,2,5,6]=>42
[4,5,1,7,6,3,2]=>[1,4,7,2,5,6,3]=>126
[4,5,2,1,3,6,7]=>[1,4,2,5,3,6,7]=>8
[4,5,2,1,3,7,6]=>[1,4,2,5,3,6,7]=>8
[4,5,2,1,6,3,7]=>[1,4,2,5,6,3,7]=>15
[4,5,2,1,6,7,3]=>[1,4,2,5,6,7,3]=>24
[4,5,2,1,7,3,6]=>[1,4,2,5,7,6,3]=>151
[4,5,2,1,7,6,3]=>[1,4,2,5,7,3,6]=>89
[4,5,2,3,1,6,7]=>[1,4,3,2,5,6,7]=>5
[4,5,2,3,1,7,6]=>[1,4,3,2,5,6,7]=>5
[4,5,2,3,6,1,7]=>[1,4,3,2,5,6,7]=>5
[4,5,2,3,6,7,1]=>[1,4,3,2,5,6,7]=>5
[4,5,2,3,7,1,6]=>[1,4,3,2,5,7,6]=>72
[4,5,2,3,7,6,1]=>[1,4,3,2,5,7,6]=>72
[4,5,2,6,1,3,7]=>[1,4,6,3,2,5,7]=>23
[4,5,2,6,1,7,3]=>[1,4,6,7,3,2,5]=>65
[4,5,2,6,3,1,7]=>[1,4,6,2,5,3,7]=>38
[4,5,2,6,3,7,1]=>[1,4,6,7,2,5,3]=>110
[4,5,2,6,7,1,3]=>[1,4,6,2,5,7,3]=>69
[4,5,2,6,7,3,1]=>[1,4,6,3,2,5,7]=>23
[4,5,2,7,1,3,6]=>[1,4,7,6,3,2,5]=>139
[4,5,2,7,1,6,3]=>[1,4,7,3,2,5,6]=>42
[4,5,2,7,3,1,6]=>[1,4,7,6,2,5,3]=>234
[4,5,2,7,3,6,1]=>[1,4,7,2,5,3,6]=>69
[4,5,2,7,6,1,3]=>[1,4,7,3,2,5,6]=>42
[4,5,2,7,6,3,1]=>[1,4,7,2,5,6,3]=>126
[4,5,3,1,2,6,7]=>[1,4,2,5,3,6,7]=>8
[4,5,3,1,2,7,6]=>[1,4,2,5,3,6,7]=>8
[4,5,3,1,6,2,7]=>[1,4,2,5,6,3,7]=>15
[4,5,3,1,6,7,2]=>[1,4,2,5,6,7,3]=>24
[4,5,3,1,7,2,6]=>[1,4,2,5,7,6,3]=>151
[4,5,3,1,7,6,2]=>[1,4,2,5,7,3,6]=>89
[4,5,3,2,1,6,7]=>[1,4,2,5,3,6,7]=>8
[4,5,3,2,1,7,6]=>[1,4,2,5,3,6,7]=>8
[4,5,3,2,6,1,7]=>[1,4,2,5,6,3,7]=>15
[4,5,3,2,6,7,1]=>[1,4,2,5,6,7,3]=>24
[4,5,3,2,7,1,6]=>[1,4,2,5,7,6,3]=>151
[4,5,3,2,7,6,1]=>[1,4,2,5,7,3,6]=>89
[4,5,3,6,1,2,7]=>[1,4,6,2,5,3,7]=>38
[4,5,3,6,1,7,2]=>[1,4,6,7,2,5,3]=>110
[4,5,3,6,2,1,7]=>[1,4,6,2,5,3,7]=>38
[4,5,3,6,2,7,1]=>[1,4,6,7,2,5,3]=>110
[4,5,3,6,7,1,2]=>[1,4,6,2,5,7,3]=>69
[4,5,3,6,7,2,1]=>[1,4,6,2,5,7,3]=>69
[4,5,3,7,1,2,6]=>[1,4,7,6,2,5,3]=>234
[4,5,3,7,1,6,2]=>[1,4,7,2,5,3,6]=>69
[4,5,3,7,2,1,6]=>[1,4,7,6,2,5,3]=>234
[4,5,3,7,2,6,1]=>[1,4,7,2,5,3,6]=>69
[4,5,3,7,6,1,2]=>[1,4,7,2,5,6,3]=>126
[4,5,3,7,6,2,1]=>[1,4,7,2,5,6,3]=>126
[4,5,6,1,2,3,7]=>[1,4,2,5,3,6,7]=>8
[4,5,6,1,2,7,3]=>[1,4,2,5,3,6,7]=>8
[4,5,6,1,3,2,7]=>[1,4,2,5,3,6,7]=>8
[4,5,6,1,3,7,2]=>[1,4,2,5,3,6,7]=>8
[4,5,6,1,7,2,3]=>[1,4,2,5,7,3,6]=>89
[4,5,6,1,7,3,2]=>[1,4,2,5,7,3,6]=>89
[4,5,6,2,1,3,7]=>[1,4,2,5,3,6,7]=>8
[4,5,6,2,1,7,3]=>[1,4,2,5,3,6,7]=>8
[4,5,6,2,3,1,7]=>[1,4,2,5,3,6,7]=>8
[4,5,6,2,3,7,1]=>[1,4,2,5,3,6,7]=>8
[4,5,6,2,7,1,3]=>[1,4,2,5,7,3,6]=>89
[4,5,6,2,7,3,1]=>[1,4,2,5,7,3,6]=>89
[4,5,6,3,1,2,7]=>[1,4,3,6,2,5,7]=>40
[4,5,6,3,1,7,2]=>[1,4,3,6,7,2,5]=>122
[4,5,6,3,2,1,7]=>[1,4,3,6,2,5,7]=>40
[4,5,6,3,2,7,1]=>[1,4,3,6,7,2,5]=>122
[4,5,6,3,7,1,2]=>[1,4,3,6,2,5,7]=>40
[4,5,6,3,7,2,1]=>[1,4,3,6,2,5,7]=>40
[4,5,6,7,1,2,3]=>[1,4,7,3,6,2,5]=>250
[4,5,6,7,1,3,2]=>[1,4,7,2,5,3,6]=>69
[4,5,6,7,2,1,3]=>[1,4,7,3,6,2,5]=>250
[4,5,6,7,2,3,1]=>[1,4,7,2,5,3,6]=>69
[4,5,6,7,3,1,2]=>[1,4,7,2,5,3,6]=>69
[4,5,6,7,3,2,1]=>[1,4,7,2,5,3,6]=>69
[4,5,7,1,2,3,6]=>[1,4,2,5,3,7,6]=>131
[4,5,7,1,2,6,3]=>[1,4,2,5,3,7,6]=>131
[4,5,7,1,3,2,6]=>[1,4,2,5,3,7,6]=>131
[4,5,7,1,3,6,2]=>[1,4,2,5,3,7,6]=>131
[4,5,7,1,6,2,3]=>[1,4,2,5,6,3,7]=>15
[4,5,7,1,6,3,2]=>[1,4,2,5,6,3,7]=>15
[4,5,7,2,1,3,6]=>[1,4,2,5,3,7,6]=>131
[4,5,7,2,1,6,3]=>[1,4,2,5,3,7,6]=>131
[4,5,7,2,3,1,6]=>[1,4,2,5,3,7,6]=>131
[4,5,7,2,3,6,1]=>[1,4,2,5,3,7,6]=>131
[4,5,7,2,6,1,3]=>[1,4,2,5,6,3,7]=>15
[4,5,7,2,6,3,1]=>[1,4,2,5,6,3,7]=>15
[4,5,7,3,1,2,6]=>[1,4,3,7,6,2,5]=>432
[4,5,7,3,1,6,2]=>[1,4,3,7,2,5,6]=>95
[4,5,7,3,2,1,6]=>[1,4,3,7,6,2,5]=>432
[4,5,7,3,2,6,1]=>[1,4,3,7,2,5,6]=>95
[4,5,7,3,6,1,2]=>[1,4,3,7,2,5,6]=>95
[4,5,7,3,6,2,1]=>[1,4,3,7,2,5,6]=>95
[4,5,7,6,1,2,3]=>[1,4,6,2,5,3,7]=>38
[4,5,7,6,1,3,2]=>[1,4,6,3,7,2,5]=>118
[4,5,7,6,2,1,3]=>[1,4,6,2,5,3,7]=>38
[4,5,7,6,2,3,1]=>[1,4,6,3,7,2,5]=>118
[4,5,7,6,3,1,2]=>[1,4,6,2,5,3,7]=>38
[4,5,7,6,3,2,1]=>[1,4,6,2,5,3,7]=>38
[4,6,1,2,3,5,7]=>[1,4,2,6,5,3,7]=>74
[4,6,1,2,3,7,5]=>[1,4,2,6,7,5,3]=>266
[4,6,1,2,5,3,7]=>[1,4,2,6,3,5,7]=>34
[4,6,1,2,5,7,3]=>[1,4,2,6,7,3,5]=>144
[4,6,1,2,7,3,5]=>[1,4,2,6,3,5,7]=>34
[4,6,1,2,7,5,3]=>[1,4,2,6,5,7,3]=>127
[4,6,1,3,2,5,7]=>[1,4,3,2,6,5,7]=>67
[4,6,1,3,2,7,5]=>[1,4,3,2,6,7,5]=>198
[4,6,1,3,5,2,7]=>[1,4,3,2,6,5,7]=>67
[4,6,1,3,5,7,2]=>[1,4,3,2,6,7,5]=>198
[4,6,1,3,7,2,5]=>[1,4,3,2,6,5,7]=>67
[4,6,1,3,7,5,2]=>[1,4,3,2,6,5,7]=>67
[4,6,1,5,2,3,7]=>[1,4,5,2,6,3,7]=>15
[4,6,1,5,2,7,3]=>[1,4,5,2,6,7,3]=>27
[4,6,1,5,3,2,7]=>[1,4,5,3,2,6,7]=>9
[4,6,1,5,3,7,2]=>[1,4,5,3,2,6,7]=>9
[4,6,1,5,7,2,3]=>[1,4,5,7,3,2,6]=>51
[4,6,1,5,7,3,2]=>[1,4,5,7,2,6,3]=>87
[4,6,1,7,2,3,5]=>[1,4,7,5,2,6,3]=>117
[4,6,1,7,2,5,3]=>[1,4,7,3,2,6,5]=>426
[4,6,1,7,3,2,5]=>[1,4,7,5,3,2,6]=>69
[4,6,1,7,3,5,2]=>[1,4,7,2,6,5,3]=>477
[4,6,1,7,5,2,3]=>[1,4,7,3,2,6,5]=>426
[4,6,1,7,5,3,2]=>[1,4,7,2,6,3,5]=>227
[4,6,2,1,3,5,7]=>[1,4,2,6,5,3,7]=>74
[4,6,2,1,3,7,5]=>[1,4,2,6,7,5,3]=>266
[4,6,2,1,5,3,7]=>[1,4,2,6,3,5,7]=>34
[4,6,2,1,5,7,3]=>[1,4,2,6,7,3,5]=>144
[4,6,2,1,7,3,5]=>[1,4,2,6,3,5,7]=>34
[4,6,2,1,7,5,3]=>[1,4,2,6,5,7,3]=>127
[4,6,2,3,1,5,7]=>[1,4,3,2,6,5,7]=>67
[4,6,2,3,1,7,5]=>[1,4,3,2,6,7,5]=>198
[4,6,2,3,5,1,7]=>[1,4,3,2,6,5,7]=>67
[4,6,2,3,5,7,1]=>[1,4,3,2,6,7,5]=>198
[4,6,2,3,7,1,5]=>[1,4,3,2,6,5,7]=>67
[4,6,2,3,7,5,1]=>[1,4,3,2,6,5,7]=>67
[4,6,2,5,1,3,7]=>[1,4,5,2,6,3,7]=>15
[4,6,2,5,1,7,3]=>[1,4,5,2,6,7,3]=>27
[4,6,2,5,3,1,7]=>[1,4,5,3,2,6,7]=>9
[4,6,2,5,3,7,1]=>[1,4,5,3,2,6,7]=>9
[4,6,2,5,7,1,3]=>[1,4,5,7,3,2,6]=>51
[4,6,2,5,7,3,1]=>[1,4,5,7,2,6,3]=>87
[4,6,2,7,1,3,5]=>[1,4,7,5,2,6,3]=>117
[4,6,2,7,1,5,3]=>[1,4,7,3,2,6,5]=>426
[4,6,2,7,3,1,5]=>[1,4,7,5,3,2,6]=>69
[4,6,2,7,3,5,1]=>[1,4,7,2,6,5,3]=>477
[4,6,2,7,5,1,3]=>[1,4,7,3,2,6,5]=>426
[4,6,2,7,5,3,1]=>[1,4,7,2,6,3,5]=>227
[4,6,3,1,2,5,7]=>[1,4,2,6,5,3,7]=>74
[4,6,3,1,2,7,5]=>[1,4,2,6,7,5,3]=>266
[4,6,3,1,5,2,7]=>[1,4,2,6,3,5,7]=>34
[4,6,3,1,5,7,2]=>[1,4,2,6,7,3,5]=>144
[4,6,3,1,7,2,5]=>[1,4,2,6,3,5,7]=>34
[4,6,3,1,7,5,2]=>[1,4,2,6,5,7,3]=>127
[4,6,3,2,1,5,7]=>[1,4,2,6,5,3,7]=>74
[4,6,3,2,1,7,5]=>[1,4,2,6,7,5,3]=>266
[4,6,3,2,5,1,7]=>[1,4,2,6,3,5,7]=>34
[4,6,3,2,5,7,1]=>[1,4,2,6,7,3,5]=>144
[4,6,3,2,7,1,5]=>[1,4,2,6,3,5,7]=>34
[4,6,3,2,7,5,1]=>[1,4,2,6,5,7,3]=>127
[4,6,3,5,1,2,7]=>[1,4,5,2,6,3,7]=>15
[4,6,3,5,1,7,2]=>[1,4,5,2,6,7,3]=>27
[4,6,3,5,2,1,7]=>[1,4,5,2,6,3,7]=>15
[4,6,3,5,2,7,1]=>[1,4,5,2,6,7,3]=>27
[4,6,3,5,7,1,2]=>[1,4,5,7,2,6,3]=>87
[4,6,3,5,7,2,1]=>[1,4,5,7,2,6,3]=>87
[4,6,3,7,1,2,5]=>[1,4,7,5,2,6,3]=>117
[4,6,3,7,1,5,2]=>[1,4,7,2,6,5,3]=>477
[4,6,3,7,2,1,5]=>[1,4,7,5,2,6,3]=>117
[4,6,3,7,2,5,1]=>[1,4,7,2,6,5,3]=>477
[4,6,3,7,5,1,2]=>[1,4,7,2,6,3,5]=>227
[4,6,3,7,5,2,1]=>[1,4,7,2,6,3,5]=>227
[4,6,5,1,2,3,7]=>[1,4,2,6,3,5,7]=>34
[4,6,5,1,2,7,3]=>[1,4,2,6,7,3,5]=>144
[4,6,5,1,3,2,7]=>[1,4,2,6,3,5,7]=>34
[4,6,5,1,3,7,2]=>[1,4,2,6,7,3,5]=>144
[4,6,5,1,7,2,3]=>[1,4,2,6,3,5,7]=>34
[4,6,5,1,7,3,2]=>[1,4,2,6,3,5,7]=>34
[4,6,5,2,1,3,7]=>[1,4,2,6,3,5,7]=>34
[4,6,5,2,1,7,3]=>[1,4,2,6,7,3,5]=>144
[4,6,5,2,3,1,7]=>[1,4,2,6,3,5,7]=>34
[4,6,5,2,3,7,1]=>[1,4,2,6,7,3,5]=>144
[4,6,5,2,7,1,3]=>[1,4,2,6,3,5,7]=>34
[4,6,5,2,7,3,1]=>[1,4,2,6,3,5,7]=>34
[4,6,5,3,1,2,7]=>[1,4,3,5,2,6,7]=>7
[4,6,5,3,1,7,2]=>[1,4,3,5,2,6,7]=>7
[4,6,5,3,2,1,7]=>[1,4,3,5,2,6,7]=>7
[4,6,5,3,2,7,1]=>[1,4,3,5,2,6,7]=>7
[4,6,5,3,7,1,2]=>[1,4,3,5,7,2,6]=>62
[4,6,5,3,7,2,1]=>[1,4,3,5,7,2,6]=>62
[4,6,5,7,1,2,3]=>[1,4,7,3,5,2,6]=>57
[4,6,5,7,1,3,2]=>[1,4,7,2,6,3,5]=>227
[4,6,5,7,2,1,3]=>[1,4,7,3,5,2,6]=>57
[4,6,5,7,2,3,1]=>[1,4,7,2,6,3,5]=>227
[4,6,5,7,3,1,2]=>[1,4,7,2,6,3,5]=>227
[4,6,5,7,3,2,1]=>[1,4,7,2,6,3,5]=>227
[4,6,7,1,2,3,5]=>[1,4,2,6,3,7,5]=>172
[4,6,7,1,2,5,3]=>[1,4,2,6,5,3,7]=>74
[4,6,7,1,3,2,5]=>[1,4,2,6,3,7,5]=>172
[4,6,7,1,3,5,2]=>[1,4,2,6,5,3,7]=>74
[4,6,7,1,5,2,3]=>[1,4,2,6,3,7,5]=>172
[4,6,7,1,5,3,2]=>[1,4,2,6,3,7,5]=>172
[4,6,7,2,1,3,5]=>[1,4,2,6,3,7,5]=>172
[4,6,7,2,1,5,3]=>[1,4,2,6,5,3,7]=>74
[4,6,7,2,3,1,5]=>[1,4,2,6,3,7,5]=>172
[4,6,7,2,3,5,1]=>[1,4,2,6,5,3,7]=>74
[4,6,7,2,5,1,3]=>[1,4,2,6,3,7,5]=>172
[4,6,7,2,5,3,1]=>[1,4,2,6,3,7,5]=>172
[4,6,7,3,1,2,5]=>[1,4,3,7,5,2,6]=>127
[4,6,7,3,1,5,2]=>[1,4,3,7,2,6,5]=>743
[4,6,7,3,2,1,5]=>[1,4,3,7,5,2,6]=>127
[4,6,7,3,2,5,1]=>[1,4,3,7,2,6,5]=>743
[4,6,7,3,5,1,2]=>[1,4,3,7,2,6,5]=>743
[4,6,7,3,5,2,1]=>[1,4,3,7,2,6,5]=>743
[4,6,7,5,1,2,3]=>[1,4,5,2,6,3,7]=>15
[4,6,7,5,1,3,2]=>[1,4,5,2,6,3,7]=>15
[4,6,7,5,2,1,3]=>[1,4,5,2,6,3,7]=>15
[4,6,7,5,2,3,1]=>[1,4,5,2,6,3,7]=>15
[4,6,7,5,3,1,2]=>[1,4,5,3,7,2,6]=>94
[4,6,7,5,3,2,1]=>[1,4,5,3,7,2,6]=>94
[4,7,1,2,3,5,6]=>[1,4,2,7,6,5,3]=>888
[4,7,1,2,3,6,5]=>[1,4,2,7,5,3,6]=>170
[4,7,1,2,5,3,6]=>[1,4,2,7,6,3,5]=>456
[4,7,1,2,5,6,3]=>[1,4,2,7,3,5,6]=>75
[4,7,1,2,6,3,5]=>[1,4,2,7,5,6,3]=>297
[4,7,1,2,6,5,3]=>[1,4,2,7,3,5,6]=>75
[4,7,1,3,2,5,6]=>[1,4,3,2,7,6,5]=>1186
[4,7,1,3,2,6,5]=>[1,4,3,2,7,5,6]=>198
[4,7,1,3,5,2,6]=>[1,4,3,2,7,6,5]=>1186
[4,7,1,3,5,6,2]=>[1,4,3,2,7,5,6]=>198
[4,7,1,3,6,2,5]=>[1,4,3,2,7,5,6]=>198
[4,7,1,3,6,5,2]=>[1,4,3,2,7,5,6]=>198
[4,7,1,5,2,3,6]=>[1,4,5,2,7,6,3]=>183
[4,7,1,5,2,6,3]=>[1,4,5,2,7,3,6]=>89
[4,7,1,5,3,2,6]=>[1,4,5,3,2,7,6]=>162
[4,7,1,5,3,6,2]=>[1,4,5,3,2,7,6]=>162
[4,7,1,5,6,2,3]=>[1,4,5,6,2,7,3]=>24
[4,7,1,5,6,3,2]=>[1,4,5,6,3,2,7]=>14
[4,7,1,6,2,3,5]=>[1,4,6,3,2,7,5]=>202
[4,7,1,6,2,5,3]=>[1,4,6,5,2,7,3]=>63
[4,7,1,6,3,2,5]=>[1,4,6,2,7,5,3]=>227
[4,7,1,6,3,5,2]=>[1,4,6,5,3,2,7]=>37
[4,7,1,6,5,2,3]=>[1,4,6,2,7,3,5]=>109
[4,7,1,6,5,3,2]=>[1,4,6,3,2,7,5]=>202
[4,7,2,1,3,5,6]=>[1,4,2,7,6,5,3]=>888
[4,7,2,1,3,6,5]=>[1,4,2,7,5,3,6]=>170
[4,7,2,1,5,3,6]=>[1,4,2,7,6,3,5]=>456
[4,7,2,1,5,6,3]=>[1,4,2,7,3,5,6]=>75
[4,7,2,1,6,3,5]=>[1,4,2,7,5,6,3]=>297
[4,7,2,1,6,5,3]=>[1,4,2,7,3,5,6]=>75
[4,7,2,3,1,5,6]=>[1,4,3,2,7,6,5]=>1186
[4,7,2,3,1,6,5]=>[1,4,3,2,7,5,6]=>198
[4,7,2,3,5,1,6]=>[1,4,3,2,7,6,5]=>1186
[4,7,2,3,5,6,1]=>[1,4,3,2,7,5,6]=>198
[4,7,2,3,6,1,5]=>[1,4,3,2,7,5,6]=>198
[4,7,2,3,6,5,1]=>[1,4,3,2,7,5,6]=>198
[4,7,2,5,1,3,6]=>[1,4,5,2,7,6,3]=>183
[4,7,2,5,1,6,3]=>[1,4,5,2,7,3,6]=>89
[4,7,2,5,3,1,6]=>[1,4,5,3,2,7,6]=>162
[4,7,2,5,3,6,1]=>[1,4,5,3,2,7,6]=>162
[4,7,2,5,6,1,3]=>[1,4,5,6,2,7,3]=>24
[4,7,2,5,6,3,1]=>[1,4,5,6,3,2,7]=>14
[4,7,2,6,1,3,5]=>[1,4,6,3,2,7,5]=>202
[4,7,2,6,1,5,3]=>[1,4,6,5,2,7,3]=>63
[4,7,2,6,3,1,5]=>[1,4,6,2,7,5,3]=>227
[4,7,2,6,3,5,1]=>[1,4,6,5,3,2,7]=>37
[4,7,2,6,5,1,3]=>[1,4,6,2,7,3,5]=>109
[4,7,2,6,5,3,1]=>[1,4,6,3,2,7,5]=>202
[4,7,3,1,2,5,6]=>[1,4,2,7,6,5,3]=>888
[4,7,3,1,2,6,5]=>[1,4,2,7,5,3,6]=>170
[4,7,3,1,5,2,6]=>[1,4,2,7,6,3,5]=>456
[4,7,3,1,5,6,2]=>[1,4,2,7,3,5,6]=>75
[4,7,3,1,6,2,5]=>[1,4,2,7,5,6,3]=>297
[4,7,3,1,6,5,2]=>[1,4,2,7,3,5,6]=>75
[4,7,3,2,1,5,6]=>[1,4,2,7,6,5,3]=>888
[4,7,3,2,1,6,5]=>[1,4,2,7,5,3,6]=>170
[4,7,3,2,5,1,6]=>[1,4,2,7,6,3,5]=>456
[4,7,3,2,5,6,1]=>[1,4,2,7,3,5,6]=>75
[4,7,3,2,6,1,5]=>[1,4,2,7,5,6,3]=>297
[4,7,3,2,6,5,1]=>[1,4,2,7,3,5,6]=>75
[4,7,3,5,1,2,6]=>[1,4,5,2,7,6,3]=>183
[4,7,3,5,1,6,2]=>[1,4,5,2,7,3,6]=>89
[4,7,3,5,2,1,6]=>[1,4,5,2,7,6,3]=>183
[4,7,3,5,2,6,1]=>[1,4,5,2,7,3,6]=>89
[4,7,3,5,6,1,2]=>[1,4,5,6,2,7,3]=>24
[4,7,3,5,6,2,1]=>[1,4,5,6,2,7,3]=>24
[4,7,3,6,1,2,5]=>[1,4,6,2,7,5,3]=>227
[4,7,3,6,1,5,2]=>[1,4,6,5,2,7,3]=>63
[4,7,3,6,2,1,5]=>[1,4,6,2,7,5,3]=>227
[4,7,3,6,2,5,1]=>[1,4,6,5,2,7,3]=>63
[4,7,3,6,5,1,2]=>[1,4,6,2,7,3,5]=>109
[4,7,3,6,5,2,1]=>[1,4,6,2,7,3,5]=>109
[4,7,5,1,2,3,6]=>[1,4,2,7,6,3,5]=>456
[4,7,5,1,2,6,3]=>[1,4,2,7,3,5,6]=>75
[4,7,5,1,3,2,6]=>[1,4,2,7,6,3,5]=>456
[4,7,5,1,3,6,2]=>[1,4,2,7,3,5,6]=>75
[4,7,5,1,6,2,3]=>[1,4,2,7,3,5,6]=>75
[4,7,5,1,6,3,2]=>[1,4,2,7,3,5,6]=>75
[4,7,5,2,1,3,6]=>[1,4,2,7,6,3,5]=>456
[4,7,5,2,1,6,3]=>[1,4,2,7,3,5,6]=>75
[4,7,5,2,3,1,6]=>[1,4,2,7,6,3,5]=>456
[4,7,5,2,3,6,1]=>[1,4,2,7,3,5,6]=>75
[4,7,5,2,6,1,3]=>[1,4,2,7,3,5,6]=>75
[4,7,5,2,6,3,1]=>[1,4,2,7,3,5,6]=>75
[4,7,5,3,1,2,6]=>[1,4,3,5,2,7,6]=>109
[4,7,5,3,1,6,2]=>[1,4,3,5,2,7,6]=>109
[4,7,5,3,2,1,6]=>[1,4,3,5,2,7,6]=>109
[4,7,5,3,2,6,1]=>[1,4,3,5,2,7,6]=>109
[4,7,5,3,6,1,2]=>[1,4,3,5,6,2,7]=>9
[4,7,5,3,6,2,1]=>[1,4,3,5,6,2,7]=>9
[4,7,5,6,1,2,3]=>[1,4,6,2,7,3,5]=>109
[4,7,5,6,1,3,2]=>[1,4,6,3,5,2,7]=>31
[4,7,5,6,2,1,3]=>[1,4,6,2,7,3,5]=>109
[4,7,5,6,2,3,1]=>[1,4,6,3,5,2,7]=>31
[4,7,5,6,3,1,2]=>[1,4,6,2,7,3,5]=>109
[4,7,5,6,3,2,1]=>[1,4,6,2,7,3,5]=>109
[4,7,6,1,2,3,5]=>[1,4,2,7,5,3,6]=>170
[4,7,6,1,2,5,3]=>[1,4,2,7,3,6,5]=>480
[4,7,6,1,3,2,5]=>[1,4,2,7,5,3,6]=>170
[4,7,6,1,3,5,2]=>[1,4,2,7,3,6,5]=>480
[4,7,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>480
[4,7,6,1,5,3,2]=>[1,4,2,7,3,6,5]=>480
[4,7,6,2,1,3,5]=>[1,4,2,7,5,3,6]=>170
[4,7,6,2,1,5,3]=>[1,4,2,7,3,6,5]=>480
[4,7,6,2,3,1,5]=>[1,4,2,7,5,3,6]=>170
[4,7,6,2,3,5,1]=>[1,4,2,7,3,6,5]=>480
[4,7,6,2,5,1,3]=>[1,4,2,7,3,6,5]=>480
[4,7,6,2,5,3,1]=>[1,4,2,7,3,6,5]=>480
[4,7,6,3,1,2,5]=>[1,4,3,6,2,7,5]=>212
[4,7,6,3,1,5,2]=>[1,4,3,6,5,2,7]=>53
[4,7,6,3,2,1,5]=>[1,4,3,6,2,7,5]=>212
[4,7,6,3,2,5,1]=>[1,4,3,6,5,2,7]=>53
[4,7,6,3,5,1,2]=>[1,4,3,6,2,7,5]=>212
[4,7,6,3,5,2,1]=>[1,4,3,6,2,7,5]=>212
[4,7,6,5,1,2,3]=>[1,4,5,2,7,3,6]=>89
[4,7,6,5,1,3,2]=>[1,4,5,2,7,3,6]=>89
[4,7,6,5,2,1,3]=>[1,4,5,2,7,3,6]=>89
[4,7,6,5,2,3,1]=>[1,4,5,2,7,3,6]=>89
[4,7,6,5,3,1,2]=>[1,4,5,3,6,2,7]=>12
[4,7,6,5,3,2,1]=>[1,4,5,3,6,2,7]=>12
[5,1,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>14
[5,1,2,3,4,7,6]=>[1,5,4,3,2,6,7]=>14
[5,1,2,3,6,4,7]=>[1,5,6,4,3,2,7]=>28
[5,1,2,3,6,7,4]=>[1,5,6,7,4,3,2]=>48
[5,1,2,3,7,4,6]=>[1,5,7,6,4,3,2]=>124
[5,1,2,3,7,6,4]=>[1,5,7,4,3,2,6]=>70
[5,1,2,4,3,6,7]=>[1,5,3,2,4,6,7]=>7
[5,1,2,4,3,7,6]=>[1,5,3,2,4,6,7]=>7
[5,1,2,4,6,3,7]=>[1,5,6,3,2,4,7]=>16
[5,1,2,4,6,7,3]=>[1,5,6,7,3,2,4]=>30
[5,1,2,4,7,3,6]=>[1,5,7,6,3,2,4]=>76
[5,1,2,4,7,6,3]=>[1,5,7,3,2,4,6]=>39
[5,1,2,6,3,4,7]=>[1,5,3,2,4,6,7]=>7
[5,1,2,6,3,7,4]=>[1,5,3,2,4,6,7]=>7
[5,1,2,6,4,3,7]=>[1,5,4,6,3,2,7]=>23
[5,1,2,6,4,7,3]=>[1,5,4,6,7,3,2]=>34
[5,1,2,6,7,3,4]=>[1,5,7,4,6,3,2]=>109
[5,1,2,6,7,4,3]=>[1,5,7,3,2,4,6]=>39
[5,1,2,7,3,4,6]=>[1,5,3,2,4,7,6]=>109
[5,1,2,7,3,6,4]=>[1,5,3,2,4,7,6]=>109
[5,1,2,7,4,3,6]=>[1,5,4,7,6,3,2]=>191
[5,1,2,7,4,6,3]=>[1,5,4,7,3,2,6]=>125
[5,1,2,7,6,3,4]=>[1,5,6,3,2,4,7]=>16
[5,1,2,7,6,4,3]=>[1,5,6,4,7,3,2]=>43
[5,1,3,2,4,6,7]=>[1,5,4,2,3,6,7]=>9
[5,1,3,2,4,7,6]=>[1,5,4,2,3,6,7]=>9
[5,1,3,2,6,4,7]=>[1,5,6,4,2,3,7]=>19
[5,1,3,2,6,7,4]=>[1,5,6,7,4,2,3]=>34
[5,1,3,2,7,4,6]=>[1,5,7,6,4,2,3]=>87
[5,1,3,2,7,6,4]=>[1,5,7,4,2,3,6]=>47
[5,1,3,4,2,6,7]=>[1,5,2,3,4,6,7]=>4
[5,1,3,4,2,7,6]=>[1,5,2,3,4,6,7]=>4
[5,1,3,4,6,2,7]=>[1,5,6,2,3,4,7]=>10
[5,1,3,4,6,7,2]=>[1,5,6,7,2,3,4]=>20
[5,1,3,4,7,2,6]=>[1,5,7,6,2,3,4]=>50
[5,1,3,4,7,6,2]=>[1,5,7,2,3,4,6]=>24
[5,1,3,6,2,4,7]=>[1,5,2,3,4,6,7]=>4
[5,1,3,6,2,7,4]=>[1,5,2,3,4,6,7]=>4
[5,1,3,6,4,2,7]=>[1,5,4,6,2,3,7]=>16
[5,1,3,6,4,7,2]=>[1,5,4,6,7,2,3]=>25
[5,1,3,6,7,2,4]=>[1,5,7,4,6,2,3]=>78
[5,1,3,6,7,4,2]=>[1,5,7,2,3,4,6]=>24
[5,1,3,7,2,4,6]=>[1,5,2,3,4,7,6]=>43
[5,1,3,7,2,6,4]=>[1,5,2,3,4,7,6]=>43
[5,1,3,7,4,2,6]=>[1,5,4,7,6,2,3]=>138
[5,1,3,7,4,6,2]=>[1,5,4,7,2,3,6]=>85
[5,1,3,7,6,2,4]=>[1,5,6,2,3,4,7]=>10
[5,1,3,7,6,4,2]=>[1,5,6,4,7,2,3]=>31
[5,1,4,2,3,6,7]=>[1,5,3,4,2,6,7]=>10
[5,1,4,2,3,7,6]=>[1,5,3,4,2,6,7]=>10
[5,1,4,2,6,3,7]=>[1,5,6,3,4,2,7]=>22
[5,1,4,2,6,7,3]=>[1,5,6,7,3,4,2]=>40
[5,1,4,2,7,3,6]=>[1,5,7,6,3,4,2]=>102
[5,1,4,2,7,6,3]=>[1,5,7,3,4,2,6]=>54
[5,1,4,3,2,6,7]=>[1,5,2,3,4,6,7]=>4
[5,1,4,3,2,7,6]=>[1,5,2,3,4,6,7]=>4
[5,1,4,3,6,2,7]=>[1,5,6,2,3,4,7]=>10
[5,1,4,3,6,7,2]=>[1,5,6,7,2,3,4]=>20
[5,1,4,3,7,2,6]=>[1,5,7,6,2,3,4]=>50
[5,1,4,3,7,6,2]=>[1,5,7,2,3,4,6]=>24
[5,1,4,6,2,3,7]=>[1,5,2,3,4,6,7]=>4
[5,1,4,6,2,7,3]=>[1,5,2,3,4,6,7]=>4
[5,1,4,6,3,2,7]=>[1,5,3,4,6,2,7]=>13
[5,1,4,6,3,7,2]=>[1,5,3,4,6,7,2]=>16
[5,1,4,6,7,2,3]=>[1,5,7,3,4,6,2]=>69
[5,1,4,6,7,3,2]=>[1,5,7,2,3,4,6]=>24
[5,1,4,7,2,3,6]=>[1,5,2,3,4,7,6]=>43
[5,1,4,7,2,6,3]=>[1,5,2,3,4,7,6]=>43
[5,1,4,7,3,2,6]=>[1,5,3,4,7,6,2]=>131
[5,1,4,7,3,6,2]=>[1,5,3,4,7,2,6]=>105
[5,1,4,7,6,2,3]=>[1,5,6,2,3,4,7]=>10
[5,1,4,7,6,3,2]=>[1,5,6,3,4,7,2]=>28
[5,1,6,2,3,4,7]=>[1,5,3,6,4,2,7]=>32
[5,1,6,2,3,7,4]=>[1,5,3,6,7,4,2]=>70
[5,1,6,2,4,3,7]=>[1,5,4,2,3,6,7]=>9
[5,1,6,2,4,7,3]=>[1,5,4,2,3,6,7]=>9
[5,1,6,2,7,3,4]=>[1,5,7,4,2,3,6]=>47
[5,1,6,2,7,4,3]=>[1,5,7,3,6,4,2]=>162
[5,1,6,3,2,4,7]=>[1,5,2,3,6,4,7]=>15
[5,1,6,3,2,7,4]=>[1,5,2,3,6,7,4]=>36
[5,1,6,3,4,2,7]=>[1,5,4,3,6,2,7]=>19
[5,1,6,3,4,7,2]=>[1,5,4,3,6,7,2]=>24
[5,1,6,3,7,2,4]=>[1,5,7,4,3,6,2]=>93
[5,1,6,3,7,4,2]=>[1,5,7,2,3,6,4]=>87
[5,1,6,4,2,3,7]=>[1,5,2,3,6,4,7]=>15
[5,1,6,4,2,7,3]=>[1,5,2,3,6,7,4]=>36
[5,1,6,4,3,2,7]=>[1,5,3,6,2,4,7]=>24
[5,1,6,4,3,7,2]=>[1,5,3,6,7,2,4]=>55
[5,1,6,4,7,2,3]=>[1,5,7,3,6,2,4]=>124
[5,1,6,4,7,3,2]=>[1,5,7,2,3,6,4]=>87
[5,1,6,7,2,3,4]=>[1,5,2,3,6,4,7]=>15
[5,1,6,7,2,4,3]=>[1,5,2,3,6,4,7]=>15
[5,1,6,7,3,2,4]=>[1,5,3,6,2,4,7]=>24
[5,1,6,7,3,4,2]=>[1,5,3,6,4,7,2]=>40
[5,1,6,7,4,2,3]=>[1,5,4,7,3,6,2]=>165
[5,1,6,7,4,3,2]=>[1,5,4,7,2,3,6]=>85
[5,1,7,2,3,4,6]=>[1,5,3,7,6,4,2]=>328
[5,1,7,2,3,6,4]=>[1,5,3,7,4,2,6]=>129
[5,1,7,2,4,3,6]=>[1,5,4,2,3,7,6]=>162
[5,1,7,2,4,6,3]=>[1,5,4,2,3,7,6]=>162
[5,1,7,2,6,3,4]=>[1,5,6,3,7,4,2]=>65
[5,1,7,2,6,4,3]=>[1,5,6,4,2,3,7]=>19
[5,1,7,3,2,4,6]=>[1,5,2,3,7,6,4]=>230
[5,1,7,3,2,6,4]=>[1,5,2,3,7,4,6]=>80
[5,1,7,3,4,2,6]=>[1,5,4,3,7,6,2]=>291
[5,1,7,3,4,6,2]=>[1,5,4,3,7,2,6]=>224
[5,1,7,3,6,2,4]=>[1,5,6,2,3,7,4]=>36
[5,1,7,3,6,4,2]=>[1,5,6,4,3,7,2]=>37
[5,1,7,4,2,3,6]=>[1,5,2,3,7,6,4]=>230
[5,1,7,4,2,6,3]=>[1,5,2,3,7,4,6]=>80
[5,1,7,4,3,2,6]=>[1,5,3,7,6,2,4]=>254
[5,1,7,4,3,6,2]=>[1,5,3,7,2,4,6]=>95
[5,1,7,4,6,2,3]=>[1,5,6,2,3,7,4]=>36
[5,1,7,4,6,3,2]=>[1,5,6,3,7,2,4]=>50
[5,1,7,6,2,3,4]=>[1,5,2,3,7,4,6]=>80
[5,1,7,6,2,4,3]=>[1,5,2,3,7,4,6]=>80
[5,1,7,6,3,2,4]=>[1,5,3,7,4,6,2]=>163
[5,1,7,6,3,4,2]=>[1,5,3,7,2,4,6]=>95
[5,1,7,6,4,2,3]=>[1,5,4,6,2,3,7]=>16
[5,1,7,6,4,3,2]=>[1,5,4,6,3,7,2]=>30
[5,2,1,3,4,6,7]=>[1,5,4,3,2,6,7]=>14
[5,2,1,3,4,7,6]=>[1,5,4,3,2,6,7]=>14
[5,2,1,3,6,4,7]=>[1,5,6,4,3,2,7]=>28
[5,2,1,3,6,7,4]=>[1,5,6,7,4,3,2]=>48
[5,2,1,3,7,4,6]=>[1,5,7,6,4,3,2]=>124
[5,2,1,3,7,6,4]=>[1,5,7,4,3,2,6]=>70
[5,2,1,4,3,6,7]=>[1,5,3,2,4,6,7]=>7
[5,2,1,4,3,7,6]=>[1,5,3,2,4,6,7]=>7
[5,2,1,4,6,3,7]=>[1,5,6,3,2,4,7]=>16
[5,2,1,4,6,7,3]=>[1,5,6,7,3,2,4]=>30
[5,2,1,4,7,3,6]=>[1,5,7,6,3,2,4]=>76
[5,2,1,4,7,6,3]=>[1,5,7,3,2,4,6]=>39
[5,2,1,6,3,4,7]=>[1,5,3,2,4,6,7]=>7
[5,2,1,6,3,7,4]=>[1,5,3,2,4,6,7]=>7
[5,2,1,6,4,3,7]=>[1,5,4,6,3,2,7]=>23
[5,2,1,6,4,7,3]=>[1,5,4,6,7,3,2]=>34
[5,2,1,6,7,3,4]=>[1,5,7,4,6,3,2]=>109
[5,2,1,6,7,4,3]=>[1,5,7,3,2,4,6]=>39
[5,2,1,7,3,4,6]=>[1,5,3,2,4,7,6]=>109
[5,2,1,7,3,6,4]=>[1,5,3,2,4,7,6]=>109
[5,2,1,7,4,3,6]=>[1,5,4,7,6,3,2]=>191
[5,2,1,7,4,6,3]=>[1,5,4,7,3,2,6]=>125
[5,2,1,7,6,3,4]=>[1,5,6,3,2,4,7]=>16
[5,2,1,7,6,4,3]=>[1,5,6,4,7,3,2]=>43
[5,2,3,1,4,6,7]=>[1,5,4,2,3,6,7]=>9
[5,2,3,1,4,7,6]=>[1,5,4,2,3,6,7]=>9
[5,2,3,1,6,4,7]=>[1,5,6,4,2,3,7]=>19
[5,2,3,1,6,7,4]=>[1,5,6,7,4,2,3]=>34
[5,2,3,1,7,4,6]=>[1,5,7,6,4,2,3]=>87
[5,2,3,1,7,6,4]=>[1,5,7,4,2,3,6]=>47
[5,2,3,4,1,6,7]=>[1,5,2,3,4,6,7]=>4
[5,2,3,4,1,7,6]=>[1,5,2,3,4,6,7]=>4
[5,2,3,4,6,1,7]=>[1,5,6,2,3,4,7]=>10
[5,2,3,4,6,7,1]=>[1,5,6,7,2,3,4]=>20
[5,2,3,4,7,1,6]=>[1,5,7,6,2,3,4]=>50
[5,2,3,4,7,6,1]=>[1,5,7,2,3,4,6]=>24
[5,2,3,6,1,4,7]=>[1,5,2,3,4,6,7]=>4
[5,2,3,6,1,7,4]=>[1,5,2,3,4,6,7]=>4
[5,2,3,6,4,1,7]=>[1,5,4,6,2,3,7]=>16
[5,2,3,6,4,7,1]=>[1,5,4,6,7,2,3]=>25
[5,2,3,6,7,1,4]=>[1,5,7,4,6,2,3]=>78
[5,2,3,6,7,4,1]=>[1,5,7,2,3,4,6]=>24
[5,2,3,7,1,4,6]=>[1,5,2,3,4,7,6]=>43
[5,2,3,7,1,6,4]=>[1,5,2,3,4,7,6]=>43
[5,2,3,7,4,1,6]=>[1,5,4,7,6,2,3]=>138
[5,2,3,7,4,6,1]=>[1,5,4,7,2,3,6]=>85
[5,2,3,7,6,1,4]=>[1,5,6,2,3,4,7]=>10
[5,2,3,7,6,4,1]=>[1,5,6,4,7,2,3]=>31
[5,2,4,1,3,6,7]=>[1,5,3,4,2,6,7]=>10
[5,2,4,1,3,7,6]=>[1,5,3,4,2,6,7]=>10
[5,2,4,1,6,3,7]=>[1,5,6,3,4,2,7]=>22
[5,2,4,1,6,7,3]=>[1,5,6,7,3,4,2]=>40
[5,2,4,1,7,3,6]=>[1,5,7,6,3,4,2]=>102
[5,2,4,1,7,6,3]=>[1,5,7,3,4,2,6]=>54
[5,2,4,3,1,6,7]=>[1,5,2,3,4,6,7]=>4
[5,2,4,3,1,7,6]=>[1,5,2,3,4,6,7]=>4
[5,2,4,3,6,1,7]=>[1,5,6,2,3,4,7]=>10
[5,2,4,3,6,7,1]=>[1,5,6,7,2,3,4]=>20
[5,2,4,3,7,1,6]=>[1,5,7,6,2,3,4]=>50
[5,2,4,3,7,6,1]=>[1,5,7,2,3,4,6]=>24
[5,2,4,6,1,3,7]=>[1,5,2,3,4,6,7]=>4
[5,2,4,6,1,7,3]=>[1,5,2,3,4,6,7]=>4
[5,2,4,6,3,1,7]=>[1,5,3,4,6,2,7]=>13
[5,2,4,6,3,7,1]=>[1,5,3,4,6,7,2]=>16
[5,2,4,6,7,1,3]=>[1,5,7,3,4,6,2]=>69
[5,2,4,6,7,3,1]=>[1,5,7,2,3,4,6]=>24
[5,2,4,7,1,3,6]=>[1,5,2,3,4,7,6]=>43
[5,2,4,7,1,6,3]=>[1,5,2,3,4,7,6]=>43
[5,2,4,7,3,1,6]=>[1,5,3,4,7,6,2]=>131
[5,2,4,7,3,6,1]=>[1,5,3,4,7,2,6]=>105
[5,2,4,7,6,1,3]=>[1,5,6,2,3,4,7]=>10
[5,2,4,7,6,3,1]=>[1,5,6,3,4,7,2]=>28
[5,2,6,1,3,4,7]=>[1,5,3,6,4,2,7]=>32
[5,2,6,1,3,7,4]=>[1,5,3,6,7,4,2]=>70
[5,2,6,1,4,3,7]=>[1,5,4,2,3,6,7]=>9
[5,2,6,1,4,7,3]=>[1,5,4,2,3,6,7]=>9
[5,2,6,1,7,3,4]=>[1,5,7,4,2,3,6]=>47
[5,2,6,1,7,4,3]=>[1,5,7,3,6,4,2]=>162
[5,2,6,3,1,4,7]=>[1,5,2,3,6,4,7]=>15
[5,2,6,3,1,7,4]=>[1,5,2,3,6,7,4]=>36
[5,2,6,3,4,1,7]=>[1,5,4,3,6,2,7]=>19
[5,2,6,3,4,7,1]=>[1,5,4,3,6,7,2]=>24
[5,2,6,3,7,1,4]=>[1,5,7,4,3,6,2]=>93
[5,2,6,3,7,4,1]=>[1,5,7,2,3,6,4]=>87
[5,2,6,4,1,3,7]=>[1,5,2,3,6,4,7]=>15
[5,2,6,4,1,7,3]=>[1,5,2,3,6,7,4]=>36
[5,2,6,4,3,1,7]=>[1,5,3,6,2,4,7]=>24
[5,2,6,4,3,7,1]=>[1,5,3,6,7,2,4]=>55
[5,2,6,4,7,1,3]=>[1,5,7,3,6,2,4]=>124
[5,2,6,4,7,3,1]=>[1,5,7,2,3,6,4]=>87
[5,2,6,7,1,3,4]=>[1,5,2,3,6,4,7]=>15
[5,2,6,7,1,4,3]=>[1,5,2,3,6,4,7]=>15
[5,2,6,7,3,1,4]=>[1,5,3,6,2,4,7]=>24
[5,2,6,7,3,4,1]=>[1,5,3,6,4,7,2]=>40
[5,2,6,7,4,1,3]=>[1,5,4,7,3,6,2]=>165
[5,2,6,7,4,3,1]=>[1,5,4,7,2,3,6]=>85
[5,2,7,1,3,4,6]=>[1,5,3,7,6,4,2]=>328
[5,2,7,1,3,6,4]=>[1,5,3,7,4,2,6]=>129
[5,2,7,1,4,3,6]=>[1,5,4,2,3,7,6]=>162
[5,2,7,1,4,6,3]=>[1,5,4,2,3,7,6]=>162
[5,2,7,1,6,3,4]=>[1,5,6,3,7,4,2]=>65
[5,2,7,1,6,4,3]=>[1,5,6,4,2,3,7]=>19
[5,2,7,3,1,4,6]=>[1,5,2,3,7,6,4]=>230
[5,2,7,3,1,6,4]=>[1,5,2,3,7,4,6]=>80
[5,2,7,3,4,1,6]=>[1,5,4,3,7,6,2]=>291
[5,2,7,3,4,6,1]=>[1,5,4,3,7,2,6]=>224
[5,2,7,3,6,1,4]=>[1,5,6,2,3,7,4]=>36
[5,2,7,3,6,4,1]=>[1,5,6,4,3,7,2]=>37
[5,2,7,4,1,3,6]=>[1,5,2,3,7,6,4]=>230
[5,2,7,4,1,6,3]=>[1,5,2,3,7,4,6]=>80
[5,2,7,4,3,1,6]=>[1,5,3,7,6,2,4]=>254
[5,2,7,4,3,6,1]=>[1,5,3,7,2,4,6]=>95
[5,2,7,4,6,1,3]=>[1,5,6,2,3,7,4]=>36
[5,2,7,4,6,3,1]=>[1,5,6,3,7,2,4]=>50
[5,2,7,6,1,3,4]=>[1,5,2,3,7,4,6]=>80
[5,2,7,6,1,4,3]=>[1,5,2,3,7,4,6]=>80
[5,2,7,6,3,1,4]=>[1,5,3,7,4,6,2]=>163
[5,2,7,6,3,4,1]=>[1,5,3,7,2,4,6]=>95
[5,2,7,6,4,1,3]=>[1,5,4,6,2,3,7]=>16
[5,2,7,6,4,3,1]=>[1,5,4,6,3,7,2]=>30
[5,3,1,2,4,6,7]=>[1,5,4,2,3,6,7]=>9
[5,3,1,2,4,7,6]=>[1,5,4,2,3,6,7]=>9
[5,3,1,2,6,4,7]=>[1,5,6,4,2,3,7]=>19
[5,3,1,2,6,7,4]=>[1,5,6,7,4,2,3]=>34
[5,3,1,2,7,4,6]=>[1,5,7,6,4,2,3]=>87
[5,3,1,2,7,6,4]=>[1,5,7,4,2,3,6]=>47
[5,3,1,4,2,6,7]=>[1,5,2,3,4,6,7]=>4
[5,3,1,4,2,7,6]=>[1,5,2,3,4,6,7]=>4
[5,3,1,4,6,2,7]=>[1,5,6,2,3,4,7]=>10
[5,3,1,4,6,7,2]=>[1,5,6,7,2,3,4]=>20
[5,3,1,4,7,2,6]=>[1,5,7,6,2,3,4]=>50
[5,3,1,4,7,6,2]=>[1,5,7,2,3,4,6]=>24
[5,3,1,6,2,4,7]=>[1,5,2,3,4,6,7]=>4
[5,3,1,6,2,7,4]=>[1,5,2,3,4,6,7]=>4
[5,3,1,6,4,2,7]=>[1,5,4,6,2,3,7]=>16
[5,3,1,6,4,7,2]=>[1,5,4,6,7,2,3]=>25
[5,3,1,6,7,2,4]=>[1,5,7,4,6,2,3]=>78
[5,3,1,6,7,4,2]=>[1,5,7,2,3,4,6]=>24
[5,3,1,7,2,4,6]=>[1,5,2,3,4,7,6]=>43
[5,3,1,7,2,6,4]=>[1,5,2,3,4,7,6]=>43
[5,3,1,7,4,2,6]=>[1,5,4,7,6,2,3]=>138
[5,3,1,7,4,6,2]=>[1,5,4,7,2,3,6]=>85
[5,3,1,7,6,2,4]=>[1,5,6,2,3,4,7]=>10
[5,3,1,7,6,4,2]=>[1,5,6,4,7,2,3]=>31
[5,3,2,1,4,6,7]=>[1,5,4,2,3,6,7]=>9
[5,3,2,1,4,7,6]=>[1,5,4,2,3,6,7]=>9
[5,3,2,1,6,4,7]=>[1,5,6,4,2,3,7]=>19
[5,3,2,1,6,7,4]=>[1,5,6,7,4,2,3]=>34
[5,3,2,1,7,4,6]=>[1,5,7,6,4,2,3]=>87
[5,3,2,1,7,6,4]=>[1,5,7,4,2,3,6]=>47
[5,3,2,4,1,6,7]=>[1,5,2,3,4,6,7]=>4
[5,3,2,4,1,7,6]=>[1,5,2,3,4,6,7]=>4
[5,3,2,4,6,1,7]=>[1,5,6,2,3,4,7]=>10
[5,3,2,4,6,7,1]=>[1,5,6,7,2,3,4]=>20
[5,3,2,4,7,1,6]=>[1,5,7,6,2,3,4]=>50
[5,3,2,4,7,6,1]=>[1,5,7,2,3,4,6]=>24
[5,3,2,6,1,4,7]=>[1,5,2,3,4,6,7]=>4
[5,3,2,6,1,7,4]=>[1,5,2,3,4,6,7]=>4
[5,3,2,6,4,1,7]=>[1,5,4,6,2,3,7]=>16
[5,3,2,6,4,7,1]=>[1,5,4,6,7,2,3]=>25
[5,3,2,6,7,1,4]=>[1,5,7,4,6,2,3]=>78
[5,3,2,6,7,4,1]=>[1,5,7,2,3,4,6]=>24
[5,3,2,7,1,4,6]=>[1,5,2,3,4,7,6]=>43
[5,3,2,7,1,6,4]=>[1,5,2,3,4,7,6]=>43
[5,3,2,7,4,1,6]=>[1,5,4,7,6,2,3]=>138
[5,3,2,7,4,6,1]=>[1,5,4,7,2,3,6]=>85
[5,3,2,7,6,1,4]=>[1,5,6,2,3,4,7]=>10
[5,3,2,7,6,4,1]=>[1,5,6,4,7,2,3]=>31
[5,3,4,1,2,6,7]=>[1,5,2,3,4,6,7]=>4
[5,3,4,1,2,7,6]=>[1,5,2,3,4,6,7]=>4
[5,3,4,1,6,2,7]=>[1,5,6,2,3,4,7]=>10
[5,3,4,1,6,7,2]=>[1,5,6,7,2,3,4]=>20
[5,3,4,1,7,2,6]=>[1,5,7,6,2,3,4]=>50
[5,3,4,1,7,6,2]=>[1,5,7,2,3,4,6]=>24
[5,3,4,2,1,6,7]=>[1,5,2,3,4,6,7]=>4
[5,3,4,2,1,7,6]=>[1,5,2,3,4,6,7]=>4
[5,3,4,2,6,1,7]=>[1,5,6,2,3,4,7]=>10
[5,3,4,2,6,7,1]=>[1,5,6,7,2,3,4]=>20
[5,3,4,2,7,1,6]=>[1,5,7,6,2,3,4]=>50
[5,3,4,2,7,6,1]=>[1,5,7,2,3,4,6]=>24
[5,3,4,6,1,2,7]=>[1,5,2,3,4,6,7]=>4
[5,3,4,6,1,7,2]=>[1,5,2,3,4,6,7]=>4
[5,3,4,6,2,1,7]=>[1,5,2,3,4,6,7]=>4
[5,3,4,6,2,7,1]=>[1,5,2,3,4,6,7]=>4
[5,3,4,6,7,1,2]=>[1,5,7,2,3,4,6]=>24
[5,3,4,6,7,2,1]=>[1,5,7,2,3,4,6]=>24
[5,3,4,7,1,2,6]=>[1,5,2,3,4,7,6]=>43
[5,3,4,7,1,6,2]=>[1,5,2,3,4,7,6]=>43
[5,3,4,7,2,1,6]=>[1,5,2,3,4,7,6]=>43
[5,3,4,7,2,6,1]=>[1,5,2,3,4,7,6]=>43
[5,3,4,7,6,1,2]=>[1,5,6,2,3,4,7]=>10
[5,3,4,7,6,2,1]=>[1,5,6,2,3,4,7]=>10
[5,3,6,1,2,4,7]=>[1,5,2,3,6,4,7]=>15
[5,3,6,1,2,7,4]=>[1,5,2,3,6,7,4]=>36
[5,3,6,1,4,2,7]=>[1,5,4,2,3,6,7]=>9
[5,3,6,1,4,7,2]=>[1,5,4,2,3,6,7]=>9
[5,3,6,1,7,2,4]=>[1,5,7,4,2,3,6]=>47
[5,3,6,1,7,4,2]=>[1,5,7,2,3,6,4]=>87
[5,3,6,2,1,4,7]=>[1,5,2,3,6,4,7]=>15
[5,3,6,2,1,7,4]=>[1,5,2,3,6,7,4]=>36
[5,3,6,2,4,1,7]=>[1,5,4,2,3,6,7]=>9
[5,3,6,2,4,7,1]=>[1,5,4,2,3,6,7]=>9
[5,3,6,2,7,1,4]=>[1,5,7,4,2,3,6]=>47
[5,3,6,2,7,4,1]=>[1,5,7,2,3,6,4]=>87
[5,3,6,4,1,2,7]=>[1,5,2,3,6,4,7]=>15
[5,3,6,4,1,7,2]=>[1,5,2,3,6,7,4]=>36
[5,3,6,4,2,1,7]=>[1,5,2,3,6,4,7]=>15
[5,3,6,4,2,7,1]=>[1,5,2,3,6,7,4]=>36
[5,3,6,4,7,1,2]=>[1,5,7,2,3,6,4]=>87
[5,3,6,4,7,2,1]=>[1,5,7,2,3,6,4]=>87
[5,3,6,7,1,2,4]=>[1,5,2,3,6,4,7]=>15
[5,3,6,7,1,4,2]=>[1,5,2,3,6,4,7]=>15
[5,3,6,7,2,1,4]=>[1,5,2,3,6,4,7]=>15
[5,3,6,7,2,4,1]=>[1,5,2,3,6,4,7]=>15
[5,3,6,7,4,1,2]=>[1,5,4,7,2,3,6]=>85
[5,3,6,7,4,2,1]=>[1,5,4,7,2,3,6]=>85
[5,3,7,1,2,4,6]=>[1,5,2,3,7,6,4]=>230
[5,3,7,1,2,6,4]=>[1,5,2,3,7,4,6]=>80
[5,3,7,1,4,2,6]=>[1,5,4,2,3,7,6]=>162
[5,3,7,1,4,6,2]=>[1,5,4,2,3,7,6]=>162
[5,3,7,1,6,2,4]=>[1,5,6,2,3,7,4]=>36
[5,3,7,1,6,4,2]=>[1,5,6,4,2,3,7]=>19
[5,3,7,2,1,4,6]=>[1,5,2,3,7,6,4]=>230
[5,3,7,2,1,6,4]=>[1,5,2,3,7,4,6]=>80
[5,3,7,2,4,1,6]=>[1,5,4,2,3,7,6]=>162
[5,3,7,2,4,6,1]=>[1,5,4,2,3,7,6]=>162
[5,3,7,2,6,1,4]=>[1,5,6,2,3,7,4]=>36
[5,3,7,2,6,4,1]=>[1,5,6,4,2,3,7]=>19
[5,3,7,4,1,2,6]=>[1,5,2,3,7,6,4]=>230
[5,3,7,4,1,6,2]=>[1,5,2,3,7,4,6]=>80
[5,3,7,4,2,1,6]=>[1,5,2,3,7,6,4]=>230
[5,3,7,4,2,6,1]=>[1,5,2,3,7,4,6]=>80
[5,3,7,4,6,1,2]=>[1,5,6,2,3,7,4]=>36
[5,3,7,4,6,2,1]=>[1,5,6,2,3,7,4]=>36
[5,3,7,6,1,2,4]=>[1,5,2,3,7,4,6]=>80
[5,3,7,6,1,4,2]=>[1,5,2,3,7,4,6]=>80
[5,3,7,6,2,1,4]=>[1,5,2,3,7,4,6]=>80
[5,3,7,6,2,4,1]=>[1,5,2,3,7,4,6]=>80
[5,3,7,6,4,1,2]=>[1,5,4,6,2,3,7]=>16
[5,3,7,6,4,2,1]=>[1,5,4,6,2,3,7]=>16
[5,4,1,2,3,6,7]=>[1,5,3,2,4,6,7]=>7
[5,4,1,2,3,7,6]=>[1,5,3,2,4,6,7]=>7
[5,4,1,2,6,3,7]=>[1,5,6,3,2,4,7]=>16
[5,4,1,2,6,7,3]=>[1,5,6,7,3,2,4]=>30
[5,4,1,2,7,3,6]=>[1,5,7,6,3,2,4]=>76
[5,4,1,2,7,6,3]=>[1,5,7,3,2,4,6]=>39
[5,4,1,3,2,6,7]=>[1,5,2,4,3,6,7]=>11
[5,4,1,3,2,7,6]=>[1,5,2,4,3,6,7]=>11
[5,4,1,3,6,2,7]=>[1,5,6,2,4,3,7]=>26
[5,4,1,3,6,7,2]=>[1,5,6,7,2,4,3]=>50
[5,4,1,3,7,2,6]=>[1,5,7,6,2,4,3]=>126
[5,4,1,3,7,6,2]=>[1,5,7,2,4,3,6]=>63
[5,4,1,6,2,3,7]=>[1,5,2,4,6,3,7]=>21
[5,4,1,6,2,7,3]=>[1,5,2,4,6,7,3]=>34
[5,4,1,6,3,2,7]=>[1,5,3,2,4,6,7]=>7
[5,4,1,6,3,7,2]=>[1,5,3,2,4,6,7]=>7
[5,4,1,6,7,2,3]=>[1,5,7,3,2,4,6]=>39
[5,4,1,6,7,3,2]=>[1,5,7,2,4,6,3]=>117
[5,4,1,7,2,3,6]=>[1,5,2,4,7,6,3]=>255
[5,4,1,7,2,6,3]=>[1,5,2,4,7,3,6]=>150
[5,4,1,7,3,2,6]=>[1,5,3,2,4,7,6]=>109
[5,4,1,7,3,6,2]=>[1,5,3,2,4,7,6]=>109
[5,4,1,7,6,2,3]=>[1,5,6,2,4,7,3]=>48
[5,4,1,7,6,3,2]=>[1,5,6,3,2,4,7]=>16
[5,4,2,1,3,6,7]=>[1,5,3,2,4,6,7]=>7
[5,4,2,1,3,7,6]=>[1,5,3,2,4,6,7]=>7
[5,4,2,1,6,3,7]=>[1,5,6,3,2,4,7]=>16
[5,4,2,1,6,7,3]=>[1,5,6,7,3,2,4]=>30
[5,4,2,1,7,3,6]=>[1,5,7,6,3,2,4]=>76
[5,4,2,1,7,6,3]=>[1,5,7,3,2,4,6]=>39
[5,4,2,3,1,6,7]=>[1,5,2,4,3,6,7]=>11
[5,4,2,3,1,7,6]=>[1,5,2,4,3,6,7]=>11
[5,4,2,3,6,1,7]=>[1,5,6,2,4,3,7]=>26
[5,4,2,3,6,7,1]=>[1,5,6,7,2,4,3]=>50
[5,4,2,3,7,1,6]=>[1,5,7,6,2,4,3]=>126
[5,4,2,3,7,6,1]=>[1,5,7,2,4,3,6]=>63
[5,4,2,6,1,3,7]=>[1,5,2,4,6,3,7]=>21
[5,4,2,6,1,7,3]=>[1,5,2,4,6,7,3]=>34
[5,4,2,6,3,1,7]=>[1,5,3,2,4,6,7]=>7
[5,4,2,6,3,7,1]=>[1,5,3,2,4,6,7]=>7
[5,4,2,6,7,1,3]=>[1,5,7,3,2,4,6]=>39
[5,4,2,6,7,3,1]=>[1,5,7,2,4,6,3]=>117
[5,4,2,7,1,3,6]=>[1,5,2,4,7,6,3]=>255
[5,4,2,7,1,6,3]=>[1,5,2,4,7,3,6]=>150
[5,4,2,7,3,1,6]=>[1,5,3,2,4,7,6]=>109
[5,4,2,7,3,6,1]=>[1,5,3,2,4,7,6]=>109
[5,4,2,7,6,1,3]=>[1,5,6,2,4,7,3]=>48
[5,4,2,7,6,3,1]=>[1,5,6,3,2,4,7]=>16
[5,4,3,1,2,6,7]=>[1,5,2,4,3,6,7]=>11
[5,4,3,1,2,7,6]=>[1,5,2,4,3,6,7]=>11
[5,4,3,1,6,2,7]=>[1,5,6,2,4,3,7]=>26
[5,4,3,1,6,7,2]=>[1,5,6,7,2,4,3]=>50
[5,4,3,1,7,2,6]=>[1,5,7,6,2,4,3]=>126
[5,4,3,1,7,6,2]=>[1,5,7,2,4,3,6]=>63
[5,4,3,2,1,6,7]=>[1,5,2,4,3,6,7]=>11
[5,4,3,2,1,7,6]=>[1,5,2,4,3,6,7]=>11
[5,4,3,2,6,1,7]=>[1,5,6,2,4,3,7]=>26
[5,4,3,2,6,7,1]=>[1,5,6,7,2,4,3]=>50
[5,4,3,2,7,1,6]=>[1,5,7,6,2,4,3]=>126
[5,4,3,2,7,6,1]=>[1,5,7,2,4,3,6]=>63
[5,4,3,6,1,2,7]=>[1,5,2,4,6,3,7]=>21
[5,4,3,6,1,7,2]=>[1,5,2,4,6,7,3]=>34
[5,4,3,6,2,1,7]=>[1,5,2,4,6,3,7]=>21
[5,4,3,6,2,7,1]=>[1,5,2,4,6,7,3]=>34
[5,4,3,6,7,1,2]=>[1,5,7,2,4,6,3]=>117
[5,4,3,6,7,2,1]=>[1,5,7,2,4,6,3]=>117
[5,4,3,7,1,2,6]=>[1,5,2,4,7,6,3]=>255
[5,4,3,7,1,6,2]=>[1,5,2,4,7,3,6]=>150
[5,4,3,7,2,1,6]=>[1,5,2,4,7,6,3]=>255
[5,4,3,7,2,6,1]=>[1,5,2,4,7,3,6]=>150
[5,4,3,7,6,1,2]=>[1,5,6,2,4,7,3]=>48
[5,4,3,7,6,2,1]=>[1,5,6,2,4,7,3]=>48
[5,4,6,1,2,3,7]=>[1,5,2,4,3,6,7]=>11
[5,4,6,1,2,7,3]=>[1,5,2,4,3,6,7]=>11
[5,4,6,1,3,2,7]=>[1,5,3,6,2,4,7]=>24
[5,4,6,1,3,7,2]=>[1,5,3,6,7,2,4]=>55
[5,4,6,1,7,2,3]=>[1,5,7,3,6,2,4]=>124
[5,4,6,1,7,3,2]=>[1,5,7,2,4,3,6]=>63
[5,4,6,2,1,3,7]=>[1,5,2,4,3,6,7]=>11
[5,4,6,2,1,7,3]=>[1,5,2,4,3,6,7]=>11
[5,4,6,2,3,1,7]=>[1,5,3,6,2,4,7]=>24
[5,4,6,2,3,7,1]=>[1,5,3,6,7,2,4]=>55
[5,4,6,2,7,1,3]=>[1,5,7,3,6,2,4]=>124
[5,4,6,2,7,3,1]=>[1,5,7,2,4,3,6]=>63
[5,4,6,3,1,2,7]=>[1,5,2,4,3,6,7]=>11
[5,4,6,3,1,7,2]=>[1,5,2,4,3,6,7]=>11
[5,4,6,3,2,1,7]=>[1,5,2,4,3,6,7]=>11
[5,4,6,3,2,7,1]=>[1,5,2,4,3,6,7]=>11
[5,4,6,3,7,1,2]=>[1,5,7,2,4,3,6]=>63
[5,4,6,3,7,2,1]=>[1,5,7,2,4,3,6]=>63
[5,4,6,7,1,2,3]=>[1,5,2,4,7,3,6]=>150
[5,4,6,7,1,3,2]=>[1,5,2,4,7,3,6]=>150
[5,4,6,7,2,1,3]=>[1,5,2,4,7,3,6]=>150
[5,4,6,7,2,3,1]=>[1,5,2,4,7,3,6]=>150
[5,4,6,7,3,1,2]=>[1,5,3,6,2,4,7]=>24
[5,4,6,7,3,2,1]=>[1,5,3,6,2,4,7]=>24
[5,4,7,1,2,3,6]=>[1,5,2,4,3,7,6]=>221
[5,4,7,1,2,6,3]=>[1,5,2,4,3,7,6]=>221
[5,4,7,1,3,2,6]=>[1,5,3,7,6,2,4]=>254
[5,4,7,1,3,6,2]=>[1,5,3,7,2,4,6]=>95
[5,4,7,1,6,2,3]=>[1,5,6,2,4,3,7]=>26
[5,4,7,1,6,3,2]=>[1,5,6,3,7,2,4]=>50
[5,4,7,2,1,3,6]=>[1,5,2,4,3,7,6]=>221
[5,4,7,2,1,6,3]=>[1,5,2,4,3,7,6]=>221
[5,4,7,2,3,1,6]=>[1,5,3,7,6,2,4]=>254
[5,4,7,2,3,6,1]=>[1,5,3,7,2,4,6]=>95
[5,4,7,2,6,1,3]=>[1,5,6,2,4,3,7]=>26
[5,4,7,2,6,3,1]=>[1,5,6,3,7,2,4]=>50
[5,4,7,3,1,2,6]=>[1,5,2,4,3,7,6]=>221
[5,4,7,3,1,6,2]=>[1,5,2,4,3,7,6]=>221
[5,4,7,3,2,1,6]=>[1,5,2,4,3,7,6]=>221
[5,4,7,3,2,6,1]=>[1,5,2,4,3,7,6]=>221
[5,4,7,3,6,1,2]=>[1,5,6,2,4,3,7]=>26
[5,4,7,3,6,2,1]=>[1,5,6,2,4,3,7]=>26
[5,4,7,6,1,2,3]=>[1,5,2,4,6,3,7]=>21
[5,4,7,6,1,3,2]=>[1,5,2,4,6,3,7]=>21
[5,4,7,6,2,1,3]=>[1,5,2,4,6,3,7]=>21
[5,4,7,6,2,3,1]=>[1,5,2,4,6,3,7]=>21
[5,4,7,6,3,1,2]=>[1,5,3,7,2,4,6]=>95
[5,4,7,6,3,2,1]=>[1,5,3,7,2,4,6]=>95
[5,6,1,2,3,4,7]=>[1,5,3,2,6,4,7]=>40
[5,6,1,2,3,7,4]=>[1,5,3,2,6,7,4]=>95
[5,6,1,2,4,3,7]=>[1,5,4,2,6,3,7]=>23
[5,6,1,2,4,7,3]=>[1,5,4,2,6,7,3]=>42
[5,6,1,2,7,3,4]=>[1,5,7,4,2,6,3]=>117
[5,6,1,2,7,4,3]=>[1,5,7,3,2,6,4]=>210
[5,6,1,3,2,4,7]=>[1,5,2,6,4,3,7]=>44
[5,6,1,3,2,7,4]=>[1,5,2,6,7,4,3]=>115
[5,6,1,3,4,2,7]=>[1,5,4,3,2,6,7]=>14
[5,6,1,3,4,7,2]=>[1,5,4,3,2,6,7]=>14
[5,6,1,3,7,2,4]=>[1,5,7,4,3,2,6]=>70
[5,6,1,3,7,4,2]=>[1,5,7,2,6,4,3]=>234
[5,6,1,4,2,3,7]=>[1,5,2,6,3,4,7]=>20
[5,6,1,4,2,7,3]=>[1,5,2,6,7,3,4]=>60
[5,6,1,4,3,2,7]=>[1,5,3,2,6,4,7]=>40
[5,6,1,4,3,7,2]=>[1,5,3,2,6,7,4]=>95
[5,6,1,4,7,2,3]=>[1,5,7,3,2,6,4]=>210
[5,6,1,4,7,3,2]=>[1,5,7,2,6,3,4]=>110
[5,6,1,7,2,3,4]=>[1,5,2,6,3,4,7]=>20
[5,6,1,7,2,4,3]=>[1,5,2,6,4,7,3]=>76
[5,6,1,7,3,2,4]=>[1,5,3,2,6,4,7]=>40
[5,6,1,7,3,4,2]=>[1,5,3,2,6,4,7]=>40
[5,6,1,7,4,2,3]=>[1,5,4,7,3,2,6]=>125
[5,6,1,7,4,3,2]=>[1,5,4,7,2,6,3]=>210
[5,6,2,1,3,4,7]=>[1,5,3,2,6,4,7]=>40
[5,6,2,1,3,7,4]=>[1,5,3,2,6,7,4]=>95
[5,6,2,1,4,3,7]=>[1,5,4,2,6,3,7]=>23
[5,6,2,1,4,7,3]=>[1,5,4,2,6,7,3]=>42
[5,6,2,1,7,3,4]=>[1,5,7,4,2,6,3]=>117
[5,6,2,1,7,4,3]=>[1,5,7,3,2,6,4]=>210
[5,6,2,3,1,4,7]=>[1,5,2,6,4,3,7]=>44
[5,6,2,3,1,7,4]=>[1,5,2,6,7,4,3]=>115
[5,6,2,3,4,1,7]=>[1,5,4,3,2,6,7]=>14
[5,6,2,3,4,7,1]=>[1,5,4,3,2,6,7]=>14
[5,6,2,3,7,1,4]=>[1,5,7,4,3,2,6]=>70
[5,6,2,3,7,4,1]=>[1,5,7,2,6,4,3]=>234
[5,6,2,4,1,3,7]=>[1,5,2,6,3,4,7]=>20
[5,6,2,4,1,7,3]=>[1,5,2,6,7,3,4]=>60
[5,6,2,4,3,1,7]=>[1,5,3,2,6,4,7]=>40
[5,6,2,4,3,7,1]=>[1,5,3,2,6,7,4]=>95
[5,6,2,4,7,1,3]=>[1,5,7,3,2,6,4]=>210
[5,6,2,4,7,3,1]=>[1,5,7,2,6,3,4]=>110
[5,6,2,7,1,3,4]=>[1,5,2,6,3,4,7]=>20
[5,6,2,7,1,4,3]=>[1,5,2,6,4,7,3]=>76
[5,6,2,7,3,1,4]=>[1,5,3,2,6,4,7]=>40
[5,6,2,7,3,4,1]=>[1,5,3,2,6,4,7]=>40
[5,6,2,7,4,1,3]=>[1,5,4,7,3,2,6]=>125
[5,6,2,7,4,3,1]=>[1,5,4,7,2,6,3]=>210
[5,6,3,1,2,4,7]=>[1,5,2,6,4,3,7]=>44
[5,6,3,1,2,7,4]=>[1,5,2,6,7,4,3]=>115
[5,6,3,1,4,2,7]=>[1,5,4,2,6,3,7]=>23
[5,6,3,1,4,7,2]=>[1,5,4,2,6,7,3]=>42
[5,6,3,1,7,2,4]=>[1,5,7,4,2,6,3]=>117
[5,6,3,1,7,4,2]=>[1,5,7,2,6,4,3]=>234
[5,6,3,2,1,4,7]=>[1,5,2,6,4,3,7]=>44
[5,6,3,2,1,7,4]=>[1,5,2,6,7,4,3]=>115
[5,6,3,2,4,1,7]=>[1,5,4,2,6,3,7]=>23
[5,6,3,2,4,7,1]=>[1,5,4,2,6,7,3]=>42
[5,6,3,2,7,1,4]=>[1,5,7,4,2,6,3]=>117
[5,6,3,2,7,4,1]=>[1,5,7,2,6,4,3]=>234
[5,6,3,4,1,2,7]=>[1,5,2,6,3,4,7]=>20
[5,6,3,4,1,7,2]=>[1,5,2,6,7,3,4]=>60
[5,6,3,4,2,1,7]=>[1,5,2,6,3,4,7]=>20
[5,6,3,4,2,7,1]=>[1,5,2,6,7,3,4]=>60
[5,6,3,4,7,1,2]=>[1,5,7,2,6,3,4]=>110
[5,6,3,4,7,2,1]=>[1,5,7,2,6,3,4]=>110
[5,6,3,7,1,2,4]=>[1,5,2,6,3,4,7]=>20
[5,6,3,7,1,4,2]=>[1,5,2,6,4,7,3]=>76
[5,6,3,7,2,1,4]=>[1,5,2,6,3,4,7]=>20
[5,6,3,7,2,4,1]=>[1,5,2,6,4,7,3]=>76
[5,6,3,7,4,1,2]=>[1,5,4,7,2,6,3]=>210
[5,6,3,7,4,2,1]=>[1,5,4,7,2,6,3]=>210
[5,6,4,1,2,3,7]=>[1,5,2,6,3,4,7]=>20
[5,6,4,1,2,7,3]=>[1,5,2,6,7,3,4]=>60
[5,6,4,1,3,2,7]=>[1,5,3,4,2,6,7]=>10
[5,6,4,1,3,7,2]=>[1,5,3,4,2,6,7]=>10
[5,6,4,1,7,2,3]=>[1,5,7,3,4,2,6]=>54
[5,6,4,1,7,3,2]=>[1,5,7,2,6,3,4]=>110
[5,6,4,2,1,3,7]=>[1,5,2,6,3,4,7]=>20
[5,6,4,2,1,7,3]=>[1,5,2,6,7,3,4]=>60
[5,6,4,2,3,1,7]=>[1,5,3,4,2,6,7]=>10
[5,6,4,2,3,7,1]=>[1,5,3,4,2,6,7]=>10
[5,6,4,2,7,1,3]=>[1,5,7,3,4,2,6]=>54
[5,6,4,2,7,3,1]=>[1,5,7,2,6,3,4]=>110
[5,6,4,3,1,2,7]=>[1,5,2,6,3,4,7]=>20
[5,6,4,3,1,7,2]=>[1,5,2,6,7,3,4]=>60
[5,6,4,3,2,1,7]=>[1,5,2,6,3,4,7]=>20
[5,6,4,3,2,7,1]=>[1,5,2,6,7,3,4]=>60
[5,6,4,3,7,1,2]=>[1,5,7,2,6,3,4]=>110
[5,6,4,3,7,2,1]=>[1,5,7,2,6,3,4]=>110
[5,6,4,7,1,2,3]=>[1,5,2,6,3,4,7]=>20
[5,6,4,7,1,3,2]=>[1,5,2,6,3,4,7]=>20
[5,6,4,7,2,1,3]=>[1,5,2,6,3,4,7]=>20
[5,6,4,7,2,3,1]=>[1,5,2,6,3,4,7]=>20
[5,6,4,7,3,1,2]=>[1,5,3,4,7,2,6]=>105
[5,6,4,7,3,2,1]=>[1,5,3,4,7,2,6]=>105
[5,6,7,1,2,3,4]=>[1,5,2,6,3,7,4]=>64
[5,6,7,1,2,4,3]=>[1,5,2,6,4,3,7]=>44
[5,6,7,1,3,2,4]=>[1,5,3,7,4,2,6]=>129
[5,6,7,1,3,4,2]=>[1,5,3,7,2,6,4]=>434
[5,6,7,1,4,2,3]=>[1,5,4,2,6,3,7]=>23
[5,6,7,1,4,3,2]=>[1,5,4,2,6,3,7]=>23
[5,6,7,2,1,3,4]=>[1,5,2,6,3,7,4]=>64
[5,6,7,2,1,4,3]=>[1,5,2,6,4,3,7]=>44
[5,6,7,2,3,1,4]=>[1,5,3,7,4,2,6]=>129
[5,6,7,2,3,4,1]=>[1,5,3,7,2,6,4]=>434
[5,6,7,2,4,1,3]=>[1,5,4,2,6,3,7]=>23
[5,6,7,2,4,3,1]=>[1,5,4,2,6,3,7]=>23
[5,6,7,3,1,2,4]=>[1,5,2,6,3,7,4]=>64
[5,6,7,3,1,4,2]=>[1,5,2,6,4,3,7]=>44
[5,6,7,3,2,1,4]=>[1,5,2,6,3,7,4]=>64
[5,6,7,3,2,4,1]=>[1,5,2,6,4,3,7]=>44
[5,6,7,3,4,1,2]=>[1,5,4,3,7,2,6]=>224
[5,6,7,3,4,2,1]=>[1,5,4,3,7,2,6]=>224
[5,6,7,4,1,2,3]=>[1,5,2,6,3,7,4]=>64
[5,6,7,4,1,3,2]=>[1,5,2,6,3,7,4]=>64
[5,6,7,4,2,1,3]=>[1,5,2,6,3,7,4]=>64
[5,6,7,4,2,3,1]=>[1,5,2,6,3,7,4]=>64
[5,6,7,4,3,1,2]=>[1,5,3,7,2,6,4]=>434
[5,6,7,4,3,2,1]=>[1,5,3,7,2,6,4]=>434
[5,7,1,2,3,4,6]=>[1,5,3,2,7,6,4]=>743
[5,7,1,2,3,6,4]=>[1,5,3,2,7,4,6]=>212
[5,7,1,2,4,3,6]=>[1,5,4,2,7,6,3]=>426
[5,7,1,2,4,6,3]=>[1,5,4,2,7,3,6]=>202
[5,7,1,2,6,3,4]=>[1,5,6,3,2,7,4]=>85
[5,7,1,2,6,4,3]=>[1,5,6,4,2,7,3]=>47
[5,7,1,3,2,4,6]=>[1,5,2,7,6,4,3]=>504
[5,7,1,3,2,6,4]=>[1,5,2,7,4,3,6]=>165
[5,7,1,3,4,2,6]=>[1,5,4,3,2,7,6]=>381
[5,7,1,3,4,6,2]=>[1,5,4,3,2,7,6]=>381
[5,7,1,3,6,2,4]=>[1,5,6,2,7,4,3]=>95
[5,7,1,3,6,4,2]=>[1,5,6,4,3,2,7]=>28
[5,7,1,4,2,3,6]=>[1,5,2,7,6,3,4]=>250
[5,7,1,4,2,6,3]=>[1,5,2,7,3,4,6]=>70
[5,7,1,4,3,2,6]=>[1,5,3,2,7,6,4]=>743
[5,7,1,4,3,6,2]=>[1,5,3,2,7,4,6]=>212
[5,7,1,4,6,2,3]=>[1,5,6,2,7,3,4]=>45
[5,7,1,4,6,3,2]=>[1,5,6,3,2,7,4]=>85
[5,7,1,6,2,3,4]=>[1,5,2,7,4,6,3]=>294
[5,7,1,6,2,4,3]=>[1,5,2,7,3,4,6]=>70
[5,7,1,6,3,2,4]=>[1,5,3,2,7,4,6]=>212
[5,7,1,6,3,4,2]=>[1,5,3,2,7,4,6]=>212
[5,7,1,6,4,2,3]=>[1,5,4,6,2,7,3]=>39
[5,7,1,6,4,3,2]=>[1,5,4,6,3,2,7]=>23
[5,7,2,1,3,4,6]=>[1,5,3,2,7,6,4]=>743
[5,7,2,1,3,6,4]=>[1,5,3,2,7,4,6]=>212
[5,7,2,1,4,3,6]=>[1,5,4,2,7,6,3]=>426
[5,7,2,1,4,6,3]=>[1,5,4,2,7,3,6]=>202
[5,7,2,1,6,3,4]=>[1,5,6,3,2,7,4]=>85
[5,7,2,1,6,4,3]=>[1,5,6,4,2,7,3]=>47
[5,7,2,3,1,4,6]=>[1,5,2,7,6,4,3]=>504
[5,7,2,3,1,6,4]=>[1,5,2,7,4,3,6]=>165
[5,7,2,3,4,1,6]=>[1,5,4,3,2,7,6]=>381
[5,7,2,3,4,6,1]=>[1,5,4,3,2,7,6]=>381
[5,7,2,3,6,1,4]=>[1,5,6,2,7,4,3]=>95
[5,7,2,3,6,4,1]=>[1,5,6,4,3,2,7]=>28
[5,7,2,4,1,3,6]=>[1,5,2,7,6,3,4]=>250
[5,7,2,4,1,6,3]=>[1,5,2,7,3,4,6]=>70
[5,7,2,4,3,1,6]=>[1,5,3,2,7,6,4]=>743
[5,7,2,4,3,6,1]=>[1,5,3,2,7,4,6]=>212
[5,7,2,4,6,1,3]=>[1,5,6,2,7,3,4]=>45
[5,7,2,4,6,3,1]=>[1,5,6,3,2,7,4]=>85
[5,7,2,6,1,3,4]=>[1,5,2,7,4,6,3]=>294
[5,7,2,6,1,4,3]=>[1,5,2,7,3,4,6]=>70
[5,7,2,6,3,1,4]=>[1,5,3,2,7,4,6]=>212
[5,7,2,6,3,4,1]=>[1,5,3,2,7,4,6]=>212
[5,7,2,6,4,1,3]=>[1,5,4,6,2,7,3]=>39
[5,7,2,6,4,3,1]=>[1,5,4,6,3,2,7]=>23
[5,7,3,1,2,4,6]=>[1,5,2,7,6,4,3]=>504
[5,7,3,1,2,6,4]=>[1,5,2,7,4,3,6]=>165
[5,7,3,1,4,2,6]=>[1,5,4,2,7,6,3]=>426
[5,7,3,1,4,6,2]=>[1,5,4,2,7,3,6]=>202
[5,7,3,1,6,2,4]=>[1,5,6,2,7,4,3]=>95
[5,7,3,1,6,4,2]=>[1,5,6,4,2,7,3]=>47
[5,7,3,2,1,4,6]=>[1,5,2,7,6,4,3]=>504
[5,7,3,2,1,6,4]=>[1,5,2,7,4,3,6]=>165
[5,7,3,2,4,1,6]=>[1,5,4,2,7,6,3]=>426
[5,7,3,2,4,6,1]=>[1,5,4,2,7,3,6]=>202
[5,7,3,2,6,1,4]=>[1,5,6,2,7,4,3]=>95
[5,7,3,2,6,4,1]=>[1,5,6,4,2,7,3]=>47
[5,7,3,4,1,2,6]=>[1,5,2,7,6,3,4]=>250
[5,7,3,4,1,6,2]=>[1,5,2,7,3,4,6]=>70
[5,7,3,4,2,1,6]=>[1,5,2,7,6,3,4]=>250
[5,7,3,4,2,6,1]=>[1,5,2,7,3,4,6]=>70
[5,7,3,4,6,1,2]=>[1,5,6,2,7,3,4]=>45
[5,7,3,4,6,2,1]=>[1,5,6,2,7,3,4]=>45
[5,7,3,6,1,2,4]=>[1,5,2,7,4,6,3]=>294
[5,7,3,6,1,4,2]=>[1,5,2,7,3,4,6]=>70
[5,7,3,6,2,1,4]=>[1,5,2,7,4,6,3]=>294
[5,7,3,6,2,4,1]=>[1,5,2,7,3,4,6]=>70
[5,7,3,6,4,1,2]=>[1,5,4,6,2,7,3]=>39
[5,7,3,6,4,2,1]=>[1,5,4,6,2,7,3]=>39
[5,7,4,1,2,3,6]=>[1,5,2,7,6,3,4]=>250
[5,7,4,1,2,6,3]=>[1,5,2,7,3,4,6]=>70
[5,7,4,1,3,2,6]=>[1,5,3,4,2,7,6]=>184
[5,7,4,1,3,6,2]=>[1,5,3,4,2,7,6]=>184
[5,7,4,1,6,2,3]=>[1,5,6,2,7,3,4]=>45
[5,7,4,1,6,3,2]=>[1,5,6,3,4,2,7]=>22
[5,7,4,2,1,3,6]=>[1,5,2,7,6,3,4]=>250
[5,7,4,2,1,6,3]=>[1,5,2,7,3,4,6]=>70
[5,7,4,2,3,1,6]=>[1,5,3,4,2,7,6]=>184
[5,7,4,2,3,6,1]=>[1,5,3,4,2,7,6]=>184
[5,7,4,2,6,1,3]=>[1,5,6,2,7,3,4]=>45
[5,7,4,2,6,3,1]=>[1,5,6,3,4,2,7]=>22
[5,7,4,3,1,2,6]=>[1,5,2,7,6,3,4]=>250
[5,7,4,3,1,6,2]=>[1,5,2,7,3,4,6]=>70
[5,7,4,3,2,1,6]=>[1,5,2,7,6,3,4]=>250
[5,7,4,3,2,6,1]=>[1,5,2,7,3,4,6]=>70
[5,7,4,3,6,1,2]=>[1,5,6,2,7,3,4]=>45
[5,7,4,3,6,2,1]=>[1,5,6,2,7,3,4]=>45
[5,7,4,6,1,2,3]=>[1,5,2,7,3,4,6]=>70
[5,7,4,6,1,3,2]=>[1,5,2,7,3,4,6]=>70
[5,7,4,6,2,1,3]=>[1,5,2,7,3,4,6]=>70
[5,7,4,6,2,3,1]=>[1,5,2,7,3,4,6]=>70
[5,7,4,6,3,1,2]=>[1,5,3,4,6,2,7]=>13
[5,7,4,6,3,2,1]=>[1,5,3,4,6,2,7]=>13
[5,7,6,1,2,3,4]=>[1,5,2,7,4,3,6]=>165
[5,7,6,1,2,4,3]=>[1,5,2,7,3,6,4]=>235
[5,7,6,1,3,2,4]=>[1,5,3,6,2,7,4]=>95
[5,7,6,1,3,4,2]=>[1,5,3,6,4,2,7]=>32
[5,7,6,1,4,2,3]=>[1,5,4,2,7,3,6]=>202
[5,7,6,1,4,3,2]=>[1,5,4,2,7,3,6]=>202
[5,7,6,2,1,3,4]=>[1,5,2,7,4,3,6]=>165
[5,7,6,2,1,4,3]=>[1,5,2,7,3,6,4]=>235
[5,7,6,2,3,1,4]=>[1,5,3,6,2,7,4]=>95
[5,7,6,2,3,4,1]=>[1,5,3,6,4,2,7]=>32
[5,7,6,2,4,1,3]=>[1,5,4,2,7,3,6]=>202
[5,7,6,2,4,3,1]=>[1,5,4,2,7,3,6]=>202
[5,7,6,3,1,2,4]=>[1,5,2,7,4,3,6]=>165
[5,7,6,3,1,4,2]=>[1,5,2,7,3,6,4]=>235
[5,7,6,3,2,1,4]=>[1,5,2,7,4,3,6]=>165
[5,7,6,3,2,4,1]=>[1,5,2,7,3,6,4]=>235
[5,7,6,3,4,1,2]=>[1,5,4,3,6,2,7]=>19
[5,7,6,3,4,2,1]=>[1,5,4,3,6,2,7]=>19
[5,7,6,4,1,2,3]=>[1,5,2,7,3,6,4]=>235
[5,7,6,4,1,3,2]=>[1,5,2,7,3,6,4]=>235
[5,7,6,4,2,1,3]=>[1,5,2,7,3,6,4]=>235
[5,7,6,4,2,3,1]=>[1,5,2,7,3,6,4]=>235
[5,7,6,4,3,1,2]=>[1,5,3,6,2,7,4]=>95
[5,7,6,4,3,2,1]=>[1,5,3,6,2,7,4]=>95
[6,1,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>42
[6,1,2,3,4,7,5]=>[1,6,7,5,4,3,2]=>90
[6,1,2,3,5,4,7]=>[1,6,4,3,2,5,7]=>19
[6,1,2,3,5,7,4]=>[1,6,7,4,3,2,5]=>47
[6,1,2,3,7,4,5]=>[1,6,4,3,2,5,7]=>19
[6,1,2,3,7,5,4]=>[1,6,5,7,4,3,2]=>76
[6,1,2,4,3,5,7]=>[1,6,5,3,2,4,7]=>23
[6,1,2,4,3,7,5]=>[1,6,7,5,3,2,4]=>53
[6,1,2,4,5,3,7]=>[1,6,3,2,4,5,7]=>9
[6,1,2,4,5,7,3]=>[1,6,7,3,2,4,5]=>25
[6,1,2,4,7,3,5]=>[1,6,3,2,4,5,7]=>9
[6,1,2,4,7,5,3]=>[1,6,5,7,3,2,4]=>46
[6,1,2,5,3,4,7]=>[1,6,4,5,3,2,7]=>32
[6,1,2,5,3,7,4]=>[1,6,7,4,5,3,2]=>75
[6,1,2,5,4,3,7]=>[1,6,3,2,4,5,7]=>9
[6,1,2,5,4,7,3]=>[1,6,7,3,2,4,5]=>25
[6,1,2,5,7,3,4]=>[1,6,3,2,4,5,7]=>9
[6,1,2,5,7,4,3]=>[1,6,4,5,7,3,2]=>48
[6,1,2,7,3,4,5]=>[1,6,4,7,5,3,2]=>114
[6,1,2,7,3,5,4]=>[1,6,5,3,2,4,7]=>23
[6,1,2,7,4,3,5]=>[1,6,3,2,4,7,5]=>62
[6,1,2,7,4,5,3]=>[1,6,5,4,7,3,2]=>66
[6,1,2,7,5,3,4]=>[1,6,3,2,4,7,5]=>62
[6,1,2,7,5,4,3]=>[1,6,4,7,3,2,5]=>74
[6,1,3,2,4,5,7]=>[1,6,5,4,2,3,7]=>28
[6,1,3,2,4,7,5]=>[1,6,7,5,4,2,3]=>62
[6,1,3,2,5,4,7]=>[1,6,4,2,3,5,7]=>12
[6,1,3,2,5,7,4]=>[1,6,7,4,2,3,5]=>31
[6,1,3,2,7,4,5]=>[1,6,4,2,3,5,7]=>12
[6,1,3,2,7,5,4]=>[1,6,5,7,4,2,3]=>53
[6,1,3,4,2,5,7]=>[1,6,5,2,3,4,7]=>14
[6,1,3,4,2,7,5]=>[1,6,7,5,2,3,4]=>34
[6,1,3,4,5,2,7]=>[1,6,2,3,4,5,7]=>5
[6,1,3,4,5,7,2]=>[1,6,7,2,3,4,5]=>15
[6,1,3,4,7,2,5]=>[1,6,2,3,4,5,7]=>5
[6,1,3,4,7,5,2]=>[1,6,5,7,2,3,4]=>30
[6,1,3,5,2,4,7]=>[1,6,4,5,2,3,7]=>22
[6,1,3,5,2,7,4]=>[1,6,7,4,5,2,3]=>53
[6,1,3,5,4,2,7]=>[1,6,2,3,4,5,7]=>5
[6,1,3,5,4,7,2]=>[1,6,7,2,3,4,5]=>15
[6,1,3,5,7,2,4]=>[1,6,2,3,4,5,7]=>5
[6,1,3,5,7,4,2]=>[1,6,4,5,7,2,3]=>35
[6,1,3,7,2,4,5]=>[1,6,4,7,5,2,3]=>82
[6,1,3,7,2,5,4]=>[1,6,5,2,3,4,7]=>14
[6,1,3,7,4,2,5]=>[1,6,2,3,4,7,5]=>24
[6,1,3,7,4,5,2]=>[1,6,5,4,7,2,3]=>47
[6,1,3,7,5,2,4]=>[1,6,2,3,4,7,5]=>24
[6,1,3,7,5,4,2]=>[1,6,4,7,2,3,5]=>50
[6,1,4,2,3,5,7]=>[1,6,5,3,4,2,7]=>32
[6,1,4,2,3,7,5]=>[1,6,7,5,3,4,2]=>72
[6,1,4,2,5,3,7]=>[1,6,3,4,2,5,7]=>13
[6,1,4,2,5,7,3]=>[1,6,7,3,4,2,5]=>35
[6,1,4,2,7,3,5]=>[1,6,3,4,2,5,7]=>13
[6,1,4,2,7,5,3]=>[1,6,5,7,3,4,2]=>62
[6,1,4,3,2,5,7]=>[1,6,5,2,3,4,7]=>14
[6,1,4,3,2,7,5]=>[1,6,7,5,2,3,4]=>34
[6,1,4,3,5,2,7]=>[1,6,2,3,4,5,7]=>5
[6,1,4,3,5,7,2]=>[1,6,7,2,3,4,5]=>15
[6,1,4,3,7,2,5]=>[1,6,2,3,4,5,7]=>5
[6,1,4,3,7,5,2]=>[1,6,5,7,2,3,4]=>30
[6,1,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>17
[6,1,4,5,2,7,3]=>[1,6,7,3,4,5,2]=>45
[6,1,4,5,3,2,7]=>[1,6,2,3,4,5,7]=>5
[6,1,4,5,3,7,2]=>[1,6,7,2,3,4,5]=>15
[6,1,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>5
[6,1,4,5,7,3,2]=>[1,6,3,4,5,7,2]=>21
[6,1,4,7,2,3,5]=>[1,6,3,4,7,5,2]=>75
[6,1,4,7,2,5,3]=>[1,6,5,2,3,4,7]=>14
[6,1,4,7,3,2,5]=>[1,6,2,3,4,7,5]=>24
[6,1,4,7,3,5,2]=>[1,6,5,3,4,7,2]=>41
[6,1,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>24
[6,1,4,7,5,3,2]=>[1,6,3,4,7,2,5]=>60
[6,1,5,2,3,4,7]=>[1,6,4,2,3,5,7]=>12
[6,1,5,2,3,7,4]=>[1,6,7,4,2,3,5]=>31
[6,1,5,2,4,3,7]=>[1,6,3,5,4,2,7]=>43
[6,1,5,2,4,7,3]=>[1,6,7,3,5,4,2]=>108
[6,1,5,2,7,3,4]=>[1,6,3,5,7,4,2]=>96
[6,1,5,2,7,4,3]=>[1,6,4,2,3,5,7]=>12
[6,1,5,3,2,4,7]=>[1,6,4,3,5,2,7]=>26
[6,1,5,3,2,7,4]=>[1,6,7,4,3,5,2]=>63
[6,1,5,3,4,2,7]=>[1,6,2,3,5,4,7]=>19
[6,1,5,3,4,7,2]=>[1,6,7,2,3,5,4]=>55
[6,1,5,3,7,2,4]=>[1,6,2,3,5,7,4]=>46
[6,1,5,3,7,4,2]=>[1,6,4,3,5,7,2]=>33
[6,1,5,4,2,3,7]=>[1,6,3,5,2,4,7]=>32
[6,1,5,4,2,7,3]=>[1,6,7,3,5,2,4]=>82
[6,1,5,4,3,2,7]=>[1,6,2,3,5,4,7]=>19
[6,1,5,4,3,7,2]=>[1,6,7,2,3,5,4]=>55
[6,1,5,4,7,2,3]=>[1,6,2,3,5,7,4]=>46
[6,1,5,4,7,3,2]=>[1,6,3,5,7,2,4]=>75
[6,1,5,7,2,3,4]=>[1,6,3,5,2,4,7]=>32
[6,1,5,7,2,4,3]=>[1,6,4,7,3,5,2]=>98
[6,1,5,7,3,2,4]=>[1,6,2,3,5,4,7]=>19
[6,1,5,7,3,4,2]=>[1,6,4,7,2,3,5]=>50
[6,1,5,7,4,2,3]=>[1,6,2,3,5,4,7]=>19
[6,1,5,7,4,3,2]=>[1,6,3,5,4,7,2]=>54
[6,1,7,2,3,4,5]=>[1,6,4,2,3,7,5]=>94
[6,1,7,2,3,5,4]=>[1,6,5,3,7,4,2]=>97
[6,1,7,2,4,3,5]=>[1,6,3,7,5,4,2]=>193
[6,1,7,2,4,5,3]=>[1,6,5,4,2,3,7]=>28
[6,1,7,2,5,3,4]=>[1,6,3,7,4,2,5]=>75
[6,1,7,2,5,4,3]=>[1,6,4,2,3,7,5]=>94
[6,1,7,3,2,4,5]=>[1,6,4,3,7,5,2]=>172
[6,1,7,3,2,5,4]=>[1,6,5,2,3,7,4]=>51
[6,1,7,3,4,2,5]=>[1,6,2,3,7,5,4]=>130
[6,1,7,3,4,5,2]=>[1,6,5,4,3,7,2]=>56
[6,1,7,3,5,2,4]=>[1,6,2,3,7,4,5]=>45
[6,1,7,3,5,4,2]=>[1,6,4,3,7,2,5]=>132
[6,1,7,4,2,3,5]=>[1,6,3,7,5,2,4]=>149
[6,1,7,4,2,5,3]=>[1,6,5,2,3,7,4]=>51
[6,1,7,4,3,2,5]=>[1,6,2,3,7,5,4]=>130
[6,1,7,4,3,5,2]=>[1,6,5,3,7,2,4]=>74
[6,1,7,4,5,2,3]=>[1,6,2,3,7,4,5]=>45
[6,1,7,4,5,3,2]=>[1,6,3,7,2,4,5]=>55
[6,1,7,5,2,3,4]=>[1,6,3,7,4,5,2]=>95
[6,1,7,5,2,4,3]=>[1,6,4,5,2,3,7]=>22
[6,1,7,5,3,2,4]=>[1,6,2,3,7,4,5]=>45
[6,1,7,5,3,4,2]=>[1,6,4,5,3,7,2]=>42
[6,1,7,5,4,2,3]=>[1,6,2,3,7,4,5]=>45
[6,1,7,5,4,3,2]=>[1,6,3,7,2,4,5]=>55
[6,2,1,3,4,5,7]=>[1,6,5,4,3,2,7]=>42
[6,2,1,3,4,7,5]=>[1,6,7,5,4,3,2]=>90
[6,2,1,3,5,4,7]=>[1,6,4,3,2,5,7]=>19
[6,2,1,3,5,7,4]=>[1,6,7,4,3,2,5]=>47
[6,2,1,3,7,4,5]=>[1,6,4,3,2,5,7]=>19
[6,2,1,3,7,5,4]=>[1,6,5,7,4,3,2]=>76
[6,2,1,4,3,5,7]=>[1,6,5,3,2,4,7]=>23
[6,2,1,4,3,7,5]=>[1,6,7,5,3,2,4]=>53
[6,2,1,4,5,3,7]=>[1,6,3,2,4,5,7]=>9
[6,2,1,4,5,7,3]=>[1,6,7,3,2,4,5]=>25
[6,2,1,4,7,3,5]=>[1,6,3,2,4,5,7]=>9
[6,2,1,4,7,5,3]=>[1,6,5,7,3,2,4]=>46
[6,2,1,5,3,4,7]=>[1,6,4,5,3,2,7]=>32
[6,2,1,5,3,7,4]=>[1,6,7,4,5,3,2]=>75
[6,2,1,5,4,3,7]=>[1,6,3,2,4,5,7]=>9
[6,2,1,5,4,7,3]=>[1,6,7,3,2,4,5]=>25
[6,2,1,5,7,3,4]=>[1,6,3,2,4,5,7]=>9
[6,2,1,5,7,4,3]=>[1,6,4,5,7,3,2]=>48
[6,2,1,7,3,4,5]=>[1,6,4,7,5,3,2]=>114
[6,2,1,7,3,5,4]=>[1,6,5,3,2,4,7]=>23
[6,2,1,7,4,3,5]=>[1,6,3,2,4,7,5]=>62
[6,2,1,7,4,5,3]=>[1,6,5,4,7,3,2]=>66
[6,2,1,7,5,3,4]=>[1,6,3,2,4,7,5]=>62
[6,2,1,7,5,4,3]=>[1,6,4,7,3,2,5]=>74
[6,2,3,1,4,5,7]=>[1,6,5,4,2,3,7]=>28
[6,2,3,1,4,7,5]=>[1,6,7,5,4,2,3]=>62
[6,2,3,1,5,4,7]=>[1,6,4,2,3,5,7]=>12
[6,2,3,1,5,7,4]=>[1,6,7,4,2,3,5]=>31
[6,2,3,1,7,4,5]=>[1,6,4,2,3,5,7]=>12
[6,2,3,1,7,5,4]=>[1,6,5,7,4,2,3]=>53
[6,2,3,4,1,5,7]=>[1,6,5,2,3,4,7]=>14
[6,2,3,4,1,7,5]=>[1,6,7,5,2,3,4]=>34
[6,2,3,4,5,1,7]=>[1,6,2,3,4,5,7]=>5
[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>15
[6,2,3,4,7,1,5]=>[1,6,2,3,4,5,7]=>5
[6,2,3,4,7,5,1]=>[1,6,5,7,2,3,4]=>30
[6,2,3,5,1,4,7]=>[1,6,4,5,2,3,7]=>22
[6,2,3,5,1,7,4]=>[1,6,7,4,5,2,3]=>53
[6,2,3,5,4,1,7]=>[1,6,2,3,4,5,7]=>5
[6,2,3,5,4,7,1]=>[1,6,7,2,3,4,5]=>15
[6,2,3,5,7,1,4]=>[1,6,2,3,4,5,7]=>5
[6,2,3,5,7,4,1]=>[1,6,4,5,7,2,3]=>35
[6,2,3,7,1,4,5]=>[1,6,4,7,5,2,3]=>82
[6,2,3,7,1,5,4]=>[1,6,5,2,3,4,7]=>14
[6,2,3,7,4,1,5]=>[1,6,2,3,4,7,5]=>24
[6,2,3,7,4,5,1]=>[1,6,5,4,7,2,3]=>47
[6,2,3,7,5,1,4]=>[1,6,2,3,4,7,5]=>24
[6,2,3,7,5,4,1]=>[1,6,4,7,2,3,5]=>50
[6,2,4,1,3,5,7]=>[1,6,5,3,4,2,7]=>32
[6,2,4,1,3,7,5]=>[1,6,7,5,3,4,2]=>72
[6,2,4,1,5,3,7]=>[1,6,3,4,2,5,7]=>13
[6,2,4,1,5,7,3]=>[1,6,7,3,4,2,5]=>35
[6,2,4,1,7,3,5]=>[1,6,3,4,2,5,7]=>13
[6,2,4,1,7,5,3]=>[1,6,5,7,3,4,2]=>62
[6,2,4,3,1,5,7]=>[1,6,5,2,3,4,7]=>14
[6,2,4,3,1,7,5]=>[1,6,7,5,2,3,4]=>34
[6,2,4,3,5,1,7]=>[1,6,2,3,4,5,7]=>5
[6,2,4,3,5,7,1]=>[1,6,7,2,3,4,5]=>15
[6,2,4,3,7,1,5]=>[1,6,2,3,4,5,7]=>5
[6,2,4,3,7,5,1]=>[1,6,5,7,2,3,4]=>30
[6,2,4,5,1,3,7]=>[1,6,3,4,5,2,7]=>17
[6,2,4,5,1,7,3]=>[1,6,7,3,4,5,2]=>45
[6,2,4,5,3,1,7]=>[1,6,2,3,4,5,7]=>5
[6,2,4,5,3,7,1]=>[1,6,7,2,3,4,5]=>15
[6,2,4,5,7,1,3]=>[1,6,2,3,4,5,7]=>5
[6,2,4,5,7,3,1]=>[1,6,3,4,5,7,2]=>21
[6,2,4,7,1,3,5]=>[1,6,3,4,7,5,2]=>75
[6,2,4,7,1,5,3]=>[1,6,5,2,3,4,7]=>14
[6,2,4,7,3,1,5]=>[1,6,2,3,4,7,5]=>24
[6,2,4,7,3,5,1]=>[1,6,5,3,4,7,2]=>41
[6,2,4,7,5,1,3]=>[1,6,2,3,4,7,5]=>24
[6,2,4,7,5,3,1]=>[1,6,3,4,7,2,5]=>60
[6,2,5,1,3,4,7]=>[1,6,4,2,3,5,7]=>12
[6,2,5,1,3,7,4]=>[1,6,7,4,2,3,5]=>31
[6,2,5,1,4,3,7]=>[1,6,3,5,4,2,7]=>43
[6,2,5,1,4,7,3]=>[1,6,7,3,5,4,2]=>108
[6,2,5,1,7,3,4]=>[1,6,3,5,7,4,2]=>96
[6,2,5,1,7,4,3]=>[1,6,4,2,3,5,7]=>12
[6,2,5,3,1,4,7]=>[1,6,4,3,5,2,7]=>26
[6,2,5,3,1,7,4]=>[1,6,7,4,3,5,2]=>63
[6,2,5,3,4,1,7]=>[1,6,2,3,5,4,7]=>19
[6,2,5,3,4,7,1]=>[1,6,7,2,3,5,4]=>55
[6,2,5,3,7,1,4]=>[1,6,2,3,5,7,4]=>46
[6,2,5,3,7,4,1]=>[1,6,4,3,5,7,2]=>33
[6,2,5,4,1,3,7]=>[1,6,3,5,2,4,7]=>32
[6,2,5,4,1,7,3]=>[1,6,7,3,5,2,4]=>82
[6,2,5,4,3,1,7]=>[1,6,2,3,5,4,7]=>19
[6,2,5,4,3,7,1]=>[1,6,7,2,3,5,4]=>55
[6,2,5,4,7,1,3]=>[1,6,2,3,5,7,4]=>46
[6,2,5,4,7,3,1]=>[1,6,3,5,7,2,4]=>75
[6,2,5,7,1,3,4]=>[1,6,3,5,2,4,7]=>32
[6,2,5,7,1,4,3]=>[1,6,4,7,3,5,2]=>98
[6,2,5,7,3,1,4]=>[1,6,2,3,5,4,7]=>19
[6,2,5,7,3,4,1]=>[1,6,4,7,2,3,5]=>50
[6,2,5,7,4,1,3]=>[1,6,2,3,5,4,7]=>19
[6,2,5,7,4,3,1]=>[1,6,3,5,4,7,2]=>54
[6,2,7,1,3,4,5]=>[1,6,4,2,3,7,5]=>94
[6,2,7,1,3,5,4]=>[1,6,5,3,7,4,2]=>97
[6,2,7,1,4,3,5]=>[1,6,3,7,5,4,2]=>193
[6,2,7,1,4,5,3]=>[1,6,5,4,2,3,7]=>28
[6,2,7,1,5,3,4]=>[1,6,3,7,4,2,5]=>75
[6,2,7,1,5,4,3]=>[1,6,4,2,3,7,5]=>94
[6,2,7,3,1,4,5]=>[1,6,4,3,7,5,2]=>172
[6,2,7,3,1,5,4]=>[1,6,5,2,3,7,4]=>51
[6,2,7,3,4,1,5]=>[1,6,2,3,7,5,4]=>130
[6,2,7,3,4,5,1]=>[1,6,5,4,3,7,2]=>56
[6,2,7,3,5,1,4]=>[1,6,2,3,7,4,5]=>45
[6,2,7,3,5,4,1]=>[1,6,4,3,7,2,5]=>132
[6,2,7,4,1,3,5]=>[1,6,3,7,5,2,4]=>149
[6,2,7,4,1,5,3]=>[1,6,5,2,3,7,4]=>51
[6,2,7,4,3,1,5]=>[1,6,2,3,7,5,4]=>130
[6,2,7,4,3,5,1]=>[1,6,5,3,7,2,4]=>74
[6,2,7,4,5,1,3]=>[1,6,2,3,7,4,5]=>45
[6,2,7,4,5,3,1]=>[1,6,3,7,2,4,5]=>55
[6,2,7,5,1,3,4]=>[1,6,3,7,4,5,2]=>95
[6,2,7,5,1,4,3]=>[1,6,4,5,2,3,7]=>22
[6,2,7,5,3,1,4]=>[1,6,2,3,7,4,5]=>45
[6,2,7,5,3,4,1]=>[1,6,4,5,3,7,2]=>42
[6,2,7,5,4,1,3]=>[1,6,2,3,7,4,5]=>45
[6,2,7,5,4,3,1]=>[1,6,3,7,2,4,5]=>55
[6,3,1,2,4,5,7]=>[1,6,5,4,2,3,7]=>28
[6,3,1,2,4,7,5]=>[1,6,7,5,4,2,3]=>62
[6,3,1,2,5,4,7]=>[1,6,4,2,3,5,7]=>12
[6,3,1,2,5,7,4]=>[1,6,7,4,2,3,5]=>31
[6,3,1,2,7,4,5]=>[1,6,4,2,3,5,7]=>12
[6,3,1,2,7,5,4]=>[1,6,5,7,4,2,3]=>53
[6,3,1,4,2,5,7]=>[1,6,5,2,3,4,7]=>14
[6,3,1,4,2,7,5]=>[1,6,7,5,2,3,4]=>34
[6,3,1,4,5,2,7]=>[1,6,2,3,4,5,7]=>5
[6,3,1,4,5,7,2]=>[1,6,7,2,3,4,5]=>15
[6,3,1,4,7,2,5]=>[1,6,2,3,4,5,7]=>5
[6,3,1,4,7,5,2]=>[1,6,5,7,2,3,4]=>30
[6,3,1,5,2,4,7]=>[1,6,4,5,2,3,7]=>22
[6,3,1,5,2,7,4]=>[1,6,7,4,5,2,3]=>53
[6,3,1,5,4,2,7]=>[1,6,2,3,4,5,7]=>5
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>15
[6,3,1,5,7,2,4]=>[1,6,2,3,4,5,7]=>5
[6,3,1,5,7,4,2]=>[1,6,4,5,7,2,3]=>35
[6,3,1,7,2,4,5]=>[1,6,4,7,5,2,3]=>82
[6,3,1,7,2,5,4]=>[1,6,5,2,3,4,7]=>14
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>24
[6,3,1,7,4,5,2]=>[1,6,5,4,7,2,3]=>47
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>24
[6,3,1,7,5,4,2]=>[1,6,4,7,2,3,5]=>50
[6,3,2,1,4,5,7]=>[1,6,5,4,2,3,7]=>28
[6,3,2,1,4,7,5]=>[1,6,7,5,4,2,3]=>62
[6,3,2,1,5,4,7]=>[1,6,4,2,3,5,7]=>12
[6,3,2,1,5,7,4]=>[1,6,7,4,2,3,5]=>31
[6,3,2,1,7,4,5]=>[1,6,4,2,3,5,7]=>12
[6,3,2,1,7,5,4]=>[1,6,5,7,4,2,3]=>53
[6,3,2,4,1,5,7]=>[1,6,5,2,3,4,7]=>14
[6,3,2,4,1,7,5]=>[1,6,7,5,2,3,4]=>34
[6,3,2,4,5,1,7]=>[1,6,2,3,4,5,7]=>5
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>15
[6,3,2,4,7,1,5]=>[1,6,2,3,4,5,7]=>5
[6,3,2,4,7,5,1]=>[1,6,5,7,2,3,4]=>30
[6,3,2,5,1,4,7]=>[1,6,4,5,2,3,7]=>22
[6,3,2,5,1,7,4]=>[1,6,7,4,5,2,3]=>53
[6,3,2,5,4,1,7]=>[1,6,2,3,4,5,7]=>5
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>15
[6,3,2,5,7,1,4]=>[1,6,2,3,4,5,7]=>5
[6,3,2,5,7,4,1]=>[1,6,4,5,7,2,3]=>35
[6,3,2,7,1,4,5]=>[1,6,4,7,5,2,3]=>82
[6,3,2,7,1,5,4]=>[1,6,5,2,3,4,7]=>14
[6,3,2,7,4,1,5]=>[1,6,2,3,4,7,5]=>24
[6,3,2,7,4,5,1]=>[1,6,5,4,7,2,3]=>47
[6,3,2,7,5,1,4]=>[1,6,2,3,4,7,5]=>24
[6,3,2,7,5,4,1]=>[1,6,4,7,2,3,5]=>50
[6,3,4,1,2,5,7]=>[1,6,5,2,3,4,7]=>14
[6,3,4,1,2,7,5]=>[1,6,7,5,2,3,4]=>34
[6,3,4,1,5,2,7]=>[1,6,2,3,4,5,7]=>5
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>15
[6,3,4,1,7,2,5]=>[1,6,2,3,4,5,7]=>5
[6,3,4,1,7,5,2]=>[1,6,5,7,2,3,4]=>30
[6,3,4,2,1,5,7]=>[1,6,5,2,3,4,7]=>14
[6,3,4,2,1,7,5]=>[1,6,7,5,2,3,4]=>34
[6,3,4,2,5,1,7]=>[1,6,2,3,4,5,7]=>5
[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>15
[6,3,4,2,7,1,5]=>[1,6,2,3,4,5,7]=>5
[6,3,4,2,7,5,1]=>[1,6,5,7,2,3,4]=>30
[6,3,4,5,1,2,7]=>[1,6,2,3,4,5,7]=>5
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>15
[6,3,4,5,2,1,7]=>[1,6,2,3,4,5,7]=>5
[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>15
[6,3,4,5,7,1,2]=>[1,6,2,3,4,5,7]=>5
[6,3,4,5,7,2,1]=>[1,6,2,3,4,5,7]=>5
[6,3,4,7,1,2,5]=>[1,6,2,3,4,7,5]=>24
[6,3,4,7,1,5,2]=>[1,6,5,2,3,4,7]=>14
[6,3,4,7,2,1,5]=>[1,6,2,3,4,7,5]=>24
[6,3,4,7,2,5,1]=>[1,6,5,2,3,4,7]=>14
[6,3,4,7,5,1,2]=>[1,6,2,3,4,7,5]=>24
[6,3,4,7,5,2,1]=>[1,6,2,3,4,7,5]=>24
[6,3,5,1,2,4,7]=>[1,6,4,2,3,5,7]=>12
[6,3,5,1,2,7,4]=>[1,6,7,4,2,3,5]=>31
[6,3,5,1,4,2,7]=>[1,6,2,3,5,4,7]=>19
[6,3,5,1,4,7,2]=>[1,6,7,2,3,5,4]=>55
[6,3,5,1,7,2,4]=>[1,6,2,3,5,7,4]=>46
[6,3,5,1,7,4,2]=>[1,6,4,2,3,5,7]=>12
[6,3,5,2,1,4,7]=>[1,6,4,2,3,5,7]=>12
[6,3,5,2,1,7,4]=>[1,6,7,4,2,3,5]=>31
[6,3,5,2,4,1,7]=>[1,6,2,3,5,4,7]=>19
[6,3,5,2,4,7,1]=>[1,6,7,2,3,5,4]=>55
[6,3,5,2,7,1,4]=>[1,6,2,3,5,7,4]=>46
[6,3,5,2,7,4,1]=>[1,6,4,2,3,5,7]=>12
[6,3,5,4,1,2,7]=>[1,6,2,3,5,4,7]=>19
[6,3,5,4,1,7,2]=>[1,6,7,2,3,5,4]=>55
[6,3,5,4,2,1,7]=>[1,6,2,3,5,4,7]=>19
[6,3,5,4,2,7,1]=>[1,6,7,2,3,5,4]=>55
[6,3,5,4,7,1,2]=>[1,6,2,3,5,7,4]=>46
[6,3,5,4,7,2,1]=>[1,6,2,3,5,7,4]=>46
[6,3,5,7,1,2,4]=>[1,6,2,3,5,4,7]=>19
[6,3,5,7,1,4,2]=>[1,6,4,7,2,3,5]=>50
[6,3,5,7,2,1,4]=>[1,6,2,3,5,4,7]=>19
[6,3,5,7,2,4,1]=>[1,6,4,7,2,3,5]=>50
[6,3,5,7,4,1,2]=>[1,6,2,3,5,4,7]=>19
[6,3,5,7,4,2,1]=>[1,6,2,3,5,4,7]=>19
[6,3,7,1,2,4,5]=>[1,6,4,2,3,7,5]=>94
[6,3,7,1,2,5,4]=>[1,6,5,2,3,7,4]=>51
[6,3,7,1,4,2,5]=>[1,6,2,3,7,5,4]=>130
[6,3,7,1,4,5,2]=>[1,6,5,4,2,3,7]=>28
[6,3,7,1,5,2,4]=>[1,6,2,3,7,4,5]=>45
[6,3,7,1,5,4,2]=>[1,6,4,2,3,7,5]=>94
[6,3,7,2,1,4,5]=>[1,6,4,2,3,7,5]=>94
[6,3,7,2,1,5,4]=>[1,6,5,2,3,7,4]=>51
[6,3,7,2,4,1,5]=>[1,6,2,3,7,5,4]=>130
[6,3,7,2,4,5,1]=>[1,6,5,4,2,3,7]=>28
[6,3,7,2,5,1,4]=>[1,6,2,3,7,4,5]=>45
[6,3,7,2,5,4,1]=>[1,6,4,2,3,7,5]=>94
[6,3,7,4,1,2,5]=>[1,6,2,3,7,5,4]=>130
[6,3,7,4,1,5,2]=>[1,6,5,2,3,7,4]=>51
[6,3,7,4,2,1,5]=>[1,6,2,3,7,5,4]=>130
[6,3,7,4,2,5,1]=>[1,6,5,2,3,7,4]=>51
[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>45
[6,3,7,4,5,2,1]=>[1,6,2,3,7,4,5]=>45
[6,3,7,5,1,2,4]=>[1,6,2,3,7,4,5]=>45
[6,3,7,5,1,4,2]=>[1,6,4,5,2,3,7]=>22
[6,3,7,5,2,1,4]=>[1,6,2,3,7,4,5]=>45
[6,3,7,5,2,4,1]=>[1,6,4,5,2,3,7]=>22
[6,3,7,5,4,1,2]=>[1,6,2,3,7,4,5]=>45
[6,3,7,5,4,2,1]=>[1,6,2,3,7,4,5]=>45
[6,4,1,2,3,5,7]=>[1,6,5,3,2,4,7]=>23
[6,4,1,2,3,7,5]=>[1,6,7,5,3,2,4]=>53
[6,4,1,2,5,3,7]=>[1,6,3,2,4,5,7]=>9
[6,4,1,2,5,7,3]=>[1,6,7,3,2,4,5]=>25
[6,4,1,2,7,3,5]=>[1,6,3,2,4,5,7]=>9
[6,4,1,2,7,5,3]=>[1,6,5,7,3,2,4]=>46
[6,4,1,3,2,5,7]=>[1,6,5,2,4,3,7]=>37
[6,4,1,3,2,7,5]=>[1,6,7,5,2,4,3]=>87
[6,4,1,3,5,2,7]=>[1,6,2,4,3,5,7]=>14
[6,4,1,3,5,7,2]=>[1,6,7,2,4,3,5]=>40
[6,4,1,3,7,2,5]=>[1,6,2,4,3,5,7]=>14
[6,4,1,3,7,5,2]=>[1,6,5,7,2,4,3]=>76
[6,4,1,5,2,3,7]=>[1,6,3,2,4,5,7]=>9
[6,4,1,5,2,7,3]=>[1,6,7,3,2,4,5]=>25
[6,4,1,5,3,2,7]=>[1,6,2,4,5,3,7]=>27
[6,4,1,5,3,7,2]=>[1,6,7,2,4,5,3]=>75
[6,4,1,5,7,2,3]=>[1,6,2,4,5,7,3]=>44
[6,4,1,5,7,3,2]=>[1,6,3,2,4,5,7]=>9
[6,4,1,7,2,3,5]=>[1,6,3,2,4,7,5]=>62
[6,4,1,7,2,5,3]=>[1,6,5,2,4,7,3]=>69
[6,4,1,7,3,2,5]=>[1,6,2,4,7,5,3]=>145
[6,4,1,7,3,5,2]=>[1,6,5,3,2,4,7]=>23
[6,4,1,7,5,2,3]=>[1,6,2,4,7,3,5]=>85
[6,4,1,7,5,3,2]=>[1,6,3,2,4,7,5]=>62
[6,4,2,1,3,5,7]=>[1,6,5,3,2,4,7]=>23
[6,4,2,1,3,7,5]=>[1,6,7,5,3,2,4]=>53
[6,4,2,1,5,3,7]=>[1,6,3,2,4,5,7]=>9
[6,4,2,1,5,7,3]=>[1,6,7,3,2,4,5]=>25
[6,4,2,1,7,3,5]=>[1,6,3,2,4,5,7]=>9
[6,4,2,1,7,5,3]=>[1,6,5,7,3,2,4]=>46
[6,4,2,3,1,5,7]=>[1,6,5,2,4,3,7]=>37
[6,4,2,3,1,7,5]=>[1,6,7,5,2,4,3]=>87
[6,4,2,3,5,1,7]=>[1,6,2,4,3,5,7]=>14
[6,4,2,3,5,7,1]=>[1,6,7,2,4,3,5]=>40
[6,4,2,3,7,1,5]=>[1,6,2,4,3,5,7]=>14
[6,4,2,3,7,5,1]=>[1,6,5,7,2,4,3]=>76
[6,4,2,5,1,3,7]=>[1,6,3,2,4,5,7]=>9
[6,4,2,5,1,7,3]=>[1,6,7,3,2,4,5]=>25
[6,4,2,5,3,1,7]=>[1,6,2,4,5,3,7]=>27
[6,4,2,5,3,7,1]=>[1,6,7,2,4,5,3]=>75
[6,4,2,5,7,1,3]=>[1,6,2,4,5,7,3]=>44
[6,4,2,5,7,3,1]=>[1,6,3,2,4,5,7]=>9
[6,4,2,7,1,3,5]=>[1,6,3,2,4,7,5]=>62
[6,4,2,7,1,5,3]=>[1,6,5,2,4,7,3]=>69
[6,4,2,7,3,1,5]=>[1,6,2,4,7,5,3]=>145
[6,4,2,7,3,5,1]=>[1,6,5,3,2,4,7]=>23
[6,4,2,7,5,1,3]=>[1,6,2,4,7,3,5]=>85
[6,4,2,7,5,3,1]=>[1,6,3,2,4,7,5]=>62
[6,4,3,1,2,5,7]=>[1,6,5,2,4,3,7]=>37
[6,4,3,1,2,7,5]=>[1,6,7,5,2,4,3]=>87
[6,4,3,1,5,2,7]=>[1,6,2,4,3,5,7]=>14
[6,4,3,1,5,7,2]=>[1,6,7,2,4,3,5]=>40
[6,4,3,1,7,2,5]=>[1,6,2,4,3,5,7]=>14
[6,4,3,1,7,5,2]=>[1,6,5,7,2,4,3]=>76
[6,4,3,2,1,5,7]=>[1,6,5,2,4,3,7]=>37
[6,4,3,2,1,7,5]=>[1,6,7,5,2,4,3]=>87
[6,4,3,2,5,1,7]=>[1,6,2,4,3,5,7]=>14
[6,4,3,2,5,7,1]=>[1,6,7,2,4,3,5]=>40
[6,4,3,2,7,1,5]=>[1,6,2,4,3,5,7]=>14
[6,4,3,2,7,5,1]=>[1,6,5,7,2,4,3]=>76
[6,4,3,5,1,2,7]=>[1,6,2,4,5,3,7]=>27
[6,4,3,5,1,7,2]=>[1,6,7,2,4,5,3]=>75
[6,4,3,5,2,1,7]=>[1,6,2,4,5,3,7]=>27
[6,4,3,5,2,7,1]=>[1,6,7,2,4,5,3]=>75
[6,4,3,5,7,1,2]=>[1,6,2,4,5,7,3]=>44
[6,4,3,5,7,2,1]=>[1,6,2,4,5,7,3]=>44
[6,4,3,7,1,2,5]=>[1,6,2,4,7,5,3]=>145
[6,4,3,7,1,5,2]=>[1,6,5,2,4,7,3]=>69
[6,4,3,7,2,1,5]=>[1,6,2,4,7,5,3]=>145
[6,4,3,7,2,5,1]=>[1,6,5,2,4,7,3]=>69
[6,4,3,7,5,1,2]=>[1,6,2,4,7,3,5]=>85
[6,4,3,7,5,2,1]=>[1,6,2,4,7,3,5]=>85
[6,4,5,1,2,3,7]=>[1,6,3,5,2,4,7]=>32
[6,4,5,1,2,7,3]=>[1,6,7,3,5,2,4]=>82
[6,4,5,1,3,2,7]=>[1,6,2,4,3,5,7]=>14
[6,4,5,1,3,7,2]=>[1,6,7,2,4,3,5]=>40
[6,4,5,1,7,2,3]=>[1,6,2,4,3,5,7]=>14
[6,4,5,1,7,3,2]=>[1,6,3,5,7,2,4]=>75
[6,4,5,2,1,3,7]=>[1,6,3,5,2,4,7]=>32
[6,4,5,2,1,7,3]=>[1,6,7,3,5,2,4]=>82
[6,4,5,2,3,1,7]=>[1,6,2,4,3,5,7]=>14
[6,4,5,2,3,7,1]=>[1,6,7,2,4,3,5]=>40
[6,4,5,2,7,1,3]=>[1,6,2,4,3,5,7]=>14
[6,4,5,2,7,3,1]=>[1,6,3,5,7,2,4]=>75
[6,4,5,3,1,2,7]=>[1,6,2,4,3,5,7]=>14
[6,4,5,3,1,7,2]=>[1,6,7,2,4,3,5]=>40
[6,4,5,3,2,1,7]=>[1,6,2,4,3,5,7]=>14
[6,4,5,3,2,7,1]=>[1,6,7,2,4,3,5]=>40
[6,4,5,3,7,1,2]=>[1,6,2,4,3,5,7]=>14
[6,4,5,3,7,2,1]=>[1,6,2,4,3,5,7]=>14
[6,4,5,7,1,2,3]=>[1,6,2,4,7,3,5]=>85
[6,4,5,7,1,3,2]=>[1,6,3,5,2,4,7]=>32
[6,4,5,7,2,1,3]=>[1,6,2,4,7,3,5]=>85
[6,4,5,7,2,3,1]=>[1,6,3,5,2,4,7]=>32
[6,4,5,7,3,1,2]=>[1,6,2,4,7,3,5]=>85
[6,4,5,7,3,2,1]=>[1,6,2,4,7,3,5]=>85
[6,4,7,1,2,3,5]=>[1,6,3,7,5,2,4]=>149
[6,4,7,1,2,5,3]=>[1,6,5,2,4,3,7]=>37
[6,4,7,1,3,2,5]=>[1,6,2,4,3,7,5]=>125
[6,4,7,1,3,5,2]=>[1,6,5,3,7,2,4]=>74
[6,4,7,1,5,2,3]=>[1,6,2,4,3,7,5]=>125
[6,4,7,1,5,3,2]=>[1,6,3,7,2,4,5]=>55
[6,4,7,2,1,3,5]=>[1,6,3,7,5,2,4]=>149
[6,4,7,2,1,5,3]=>[1,6,5,2,4,3,7]=>37
[6,4,7,2,3,1,5]=>[1,6,2,4,3,7,5]=>125
[6,4,7,2,3,5,1]=>[1,6,5,3,7,2,4]=>74
[6,4,7,2,5,1,3]=>[1,6,2,4,3,7,5]=>125
[6,4,7,2,5,3,1]=>[1,6,3,7,2,4,5]=>55
[6,4,7,3,1,2,5]=>[1,6,2,4,3,7,5]=>125
[6,4,7,3,1,5,2]=>[1,6,5,2,4,3,7]=>37
[6,4,7,3,2,1,5]=>[1,6,2,4,3,7,5]=>125
[6,4,7,3,2,5,1]=>[1,6,5,2,4,3,7]=>37
[6,4,7,3,5,1,2]=>[1,6,2,4,3,7,5]=>125
[6,4,7,3,5,2,1]=>[1,6,2,4,3,7,5]=>125
[6,4,7,5,1,2,3]=>[1,6,2,4,5,3,7]=>27
[6,4,7,5,1,3,2]=>[1,6,3,7,2,4,5]=>55
[6,4,7,5,2,1,3]=>[1,6,2,4,5,3,7]=>27
[6,4,7,5,2,3,1]=>[1,6,3,7,2,4,5]=>55
[6,4,7,5,3,1,2]=>[1,6,2,4,5,3,7]=>27
[6,4,7,5,3,2,1]=>[1,6,2,4,5,3,7]=>27
[6,5,1,2,3,4,7]=>[1,6,4,2,5,3,7]=>31
[6,5,1,2,3,7,4]=>[1,6,7,4,2,5,3]=>78
[6,5,1,2,4,3,7]=>[1,6,3,2,5,4,7]=>53
[6,5,1,2,4,7,3]=>[1,6,7,3,2,5,4]=>138
[6,5,1,2,7,3,4]=>[1,6,3,2,5,7,4]=>127
[6,5,1,2,7,4,3]=>[1,6,4,2,5,7,3]=>57
[6,5,1,3,2,4,7]=>[1,6,4,3,2,5,7]=>19
[6,5,1,3,2,7,4]=>[1,6,7,4,3,2,5]=>47
[6,5,1,3,4,2,7]=>[1,6,2,5,4,3,7]=>58
[6,5,1,3,4,7,2]=>[1,6,7,2,5,4,3]=>153
[6,5,1,3,7,2,4]=>[1,6,2,5,7,4,3]=>155
[6,5,1,3,7,4,2]=>[1,6,4,3,2,5,7]=>19
[6,5,1,4,2,3,7]=>[1,6,3,2,5,4,7]=>53
[6,5,1,4,2,7,3]=>[1,6,7,3,2,5,4]=>138
[6,5,1,4,3,2,7]=>[1,6,2,5,3,4,7]=>26
[6,5,1,4,3,7,2]=>[1,6,7,2,5,3,4]=>71
[6,5,1,4,7,2,3]=>[1,6,2,5,7,3,4]=>80
[6,5,1,4,7,3,2]=>[1,6,3,2,5,7,4]=>127
[6,5,1,7,2,3,4]=>[1,6,3,2,5,4,7]=>53
[6,5,1,7,2,4,3]=>[1,6,4,7,3,2,5]=>74
[6,5,1,7,3,2,4]=>[1,6,2,5,3,4,7]=>26
[6,5,1,7,3,4,2]=>[1,6,4,7,2,5,3]=>124
[6,5,1,7,4,2,3]=>[1,6,2,5,4,7,3]=>101
[6,5,1,7,4,3,2]=>[1,6,3,2,5,4,7]=>53
[6,5,2,1,3,4,7]=>[1,6,4,2,5,3,7]=>31
[6,5,2,1,3,7,4]=>[1,6,7,4,2,5,3]=>78
[6,5,2,1,4,3,7]=>[1,6,3,2,5,4,7]=>53
[6,5,2,1,4,7,3]=>[1,6,7,3,2,5,4]=>138
[6,5,2,1,7,3,4]=>[1,6,3,2,5,7,4]=>127
[6,5,2,1,7,4,3]=>[1,6,4,2,5,7,3]=>57
[6,5,2,3,1,4,7]=>[1,6,4,3,2,5,7]=>19
[6,5,2,3,1,7,4]=>[1,6,7,4,3,2,5]=>47
[6,5,2,3,4,1,7]=>[1,6,2,5,4,3,7]=>58
[6,5,2,3,4,7,1]=>[1,6,7,2,5,4,3]=>153
[6,5,2,3,7,1,4]=>[1,6,2,5,7,4,3]=>155
[6,5,2,3,7,4,1]=>[1,6,4,3,2,5,7]=>19
[6,5,2,4,1,3,7]=>[1,6,3,2,5,4,7]=>53
[6,5,2,4,1,7,3]=>[1,6,7,3,2,5,4]=>138
[6,5,2,4,3,1,7]=>[1,6,2,5,3,4,7]=>26
[6,5,2,4,3,7,1]=>[1,6,7,2,5,3,4]=>71
[6,5,2,4,7,1,3]=>[1,6,2,5,7,3,4]=>80
[6,5,2,4,7,3,1]=>[1,6,3,2,5,7,4]=>127
[6,5,2,7,1,3,4]=>[1,6,3,2,5,4,7]=>53
[6,5,2,7,1,4,3]=>[1,6,4,7,3,2,5]=>74
[6,5,2,7,3,1,4]=>[1,6,2,5,3,4,7]=>26
[6,5,2,7,3,4,1]=>[1,6,4,7,2,5,3]=>124
[6,5,2,7,4,1,3]=>[1,6,2,5,4,7,3]=>101
[6,5,2,7,4,3,1]=>[1,6,3,2,5,4,7]=>53
[6,5,3,1,2,4,7]=>[1,6,4,2,5,3,7]=>31
[6,5,3,1,2,7,4]=>[1,6,7,4,2,5,3]=>78
[6,5,3,1,4,2,7]=>[1,6,2,5,4,3,7]=>58
[6,5,3,1,4,7,2]=>[1,6,7,2,5,4,3]=>153
[6,5,3,1,7,2,4]=>[1,6,2,5,7,4,3]=>155
[6,5,3,1,7,4,2]=>[1,6,4,2,5,7,3]=>57
[6,5,3,2,1,4,7]=>[1,6,4,2,5,3,7]=>31
[6,5,3,2,1,7,4]=>[1,6,7,4,2,5,3]=>78
[6,5,3,2,4,1,7]=>[1,6,2,5,4,3,7]=>58
[6,5,3,2,4,7,1]=>[1,6,7,2,5,4,3]=>153
[6,5,3,2,7,1,4]=>[1,6,2,5,7,4,3]=>155
[6,5,3,2,7,4,1]=>[1,6,4,2,5,7,3]=>57
[6,5,3,4,1,2,7]=>[1,6,2,5,3,4,7]=>26
[6,5,3,4,1,7,2]=>[1,6,7,2,5,3,4]=>71
[6,5,3,4,2,1,7]=>[1,6,2,5,3,4,7]=>26
[6,5,3,4,2,7,1]=>[1,6,7,2,5,3,4]=>71
[6,5,3,4,7,1,2]=>[1,6,2,5,7,3,4]=>80
[6,5,3,4,7,2,1]=>[1,6,2,5,7,3,4]=>80
[6,5,3,7,1,2,4]=>[1,6,2,5,3,4,7]=>26
[6,5,3,7,1,4,2]=>[1,6,4,7,2,5,3]=>124
[6,5,3,7,2,1,4]=>[1,6,2,5,3,4,7]=>26
[6,5,3,7,2,4,1]=>[1,6,4,7,2,5,3]=>124
[6,5,3,7,4,1,2]=>[1,6,2,5,4,7,3]=>101
[6,5,3,7,4,2,1]=>[1,6,2,5,4,7,3]=>101
[6,5,4,1,2,3,7]=>[1,6,3,4,2,5,7]=>13
[6,5,4,1,2,7,3]=>[1,6,7,3,4,2,5]=>35
[6,5,4,1,3,2,7]=>[1,6,2,5,3,4,7]=>26
[6,5,4,1,3,7,2]=>[1,6,7,2,5,3,4]=>71
[6,5,4,1,7,2,3]=>[1,6,2,5,7,3,4]=>80
[6,5,4,1,7,3,2]=>[1,6,3,4,2,5,7]=>13
[6,5,4,2,1,3,7]=>[1,6,3,4,2,5,7]=>13
[6,5,4,2,1,7,3]=>[1,6,7,3,4,2,5]=>35
[6,5,4,2,3,1,7]=>[1,6,2,5,3,4,7]=>26
[6,5,4,2,3,7,1]=>[1,6,7,2,5,3,4]=>71
[6,5,4,2,7,1,3]=>[1,6,2,5,7,3,4]=>80
[6,5,4,2,7,3,1]=>[1,6,3,4,2,5,7]=>13
[6,5,4,3,1,2,7]=>[1,6,2,5,3,4,7]=>26
[6,5,4,3,1,7,2]=>[1,6,7,2,5,3,4]=>71
[6,5,4,3,2,1,7]=>[1,6,2,5,3,4,7]=>26
[6,5,4,3,2,7,1]=>[1,6,7,2,5,3,4]=>71
[6,5,4,3,7,1,2]=>[1,6,2,5,7,3,4]=>80
[6,5,4,3,7,2,1]=>[1,6,2,5,7,3,4]=>80
[6,5,4,7,1,2,3]=>[1,6,2,5,3,4,7]=>26
[6,5,4,7,1,3,2]=>[1,6,3,4,7,2,5]=>60
[6,5,4,7,2,1,3]=>[1,6,2,5,3,4,7]=>26
[6,5,4,7,2,3,1]=>[1,6,3,4,7,2,5]=>60
[6,5,4,7,3,1,2]=>[1,6,2,5,3,4,7]=>26
[6,5,4,7,3,2,1]=>[1,6,2,5,3,4,7]=>26
[6,5,7,1,2,3,4]=>[1,6,3,7,4,2,5]=>75
[6,5,7,1,2,4,3]=>[1,6,4,2,5,3,7]=>31
[6,5,7,1,3,2,4]=>[1,6,2,5,3,7,4]=>84
[6,5,7,1,3,4,2]=>[1,6,4,2,5,3,7]=>31
[6,5,7,1,4,2,3]=>[1,6,2,5,4,3,7]=>58
[6,5,7,1,4,3,2]=>[1,6,3,7,2,5,4]=>254
[6,5,7,2,1,3,4]=>[1,6,3,7,4,2,5]=>75
[6,5,7,2,1,4,3]=>[1,6,4,2,5,3,7]=>31
[6,5,7,2,3,1,4]=>[1,6,2,5,3,7,4]=>84
[6,5,7,2,3,4,1]=>[1,6,4,2,5,3,7]=>31
[6,5,7,2,4,1,3]=>[1,6,2,5,4,3,7]=>58
[6,5,7,2,4,3,1]=>[1,6,3,7,2,5,4]=>254
[6,5,7,3,1,2,4]=>[1,6,2,5,3,7,4]=>84
[6,5,7,3,1,4,2]=>[1,6,4,3,7,2,5]=>132
[6,5,7,3,2,1,4]=>[1,6,2,5,3,7,4]=>84
[6,5,7,3,2,4,1]=>[1,6,4,3,7,2,5]=>132
[6,5,7,3,4,1,2]=>[1,6,2,5,4,3,7]=>58
[6,5,7,3,4,2,1]=>[1,6,2,5,4,3,7]=>58
[6,5,7,4,1,2,3]=>[1,6,2,5,3,7,4]=>84
[6,5,7,4,1,3,2]=>[1,6,3,7,2,5,4]=>254
[6,5,7,4,2,1,3]=>[1,6,2,5,3,7,4]=>84
[6,5,7,4,2,3,1]=>[1,6,3,7,2,5,4]=>254
[6,5,7,4,3,1,2]=>[1,6,2,5,3,7,4]=>84
[6,5,7,4,3,2,1]=>[1,6,2,5,3,7,4]=>84
[6,7,1,2,3,4,5]=>[1,6,4,2,7,5,3]=>250
[6,7,1,2,3,5,4]=>[1,6,5,3,2,7,4]=>125
[6,7,1,2,4,3,5]=>[1,6,3,2,7,5,4]=>432
[6,7,1,2,4,5,3]=>[1,6,5,4,2,7,3]=>70
[6,7,1,2,5,3,4]=>[1,6,3,2,7,4,5]=>122
[6,7,1,2,5,4,3]=>[1,6,4,2,7,3,5]=>118
[6,7,1,3,2,4,5]=>[1,6,4,3,2,7,5]=>224
[6,7,1,3,2,5,4]=>[1,6,5,2,7,4,3]=>139
[6,7,1,3,4,2,5]=>[1,6,2,7,5,4,3]=>294
[6,7,1,3,4,5,2]=>[1,6,5,4,3,2,7]=>42
[6,7,1,3,5,2,4]=>[1,6,2,7,4,3,5]=>95
[6,7,1,3,5,4,2]=>[1,6,4,3,2,7,5]=>224
[6,7,1,4,2,3,5]=>[1,6,3,2,7,5,4]=>432
[6,7,1,4,2,5,3]=>[1,6,5,2,7,3,4]=>65
[6,7,1,4,3,2,5]=>[1,6,2,7,5,3,4]=>145
[6,7,1,4,3,5,2]=>[1,6,5,3,2,7,4]=>125
[6,7,1,4,5,2,3]=>[1,6,2,7,3,4,5]=>40
[6,7,1,4,5,3,2]=>[1,6,3,2,7,4,5]=>122
[6,7,1,5,2,3,4]=>[1,6,3,2,7,4,5]=>122
[6,7,1,5,2,4,3]=>[1,6,4,5,2,7,3]=>54
[6,7,1,5,3,2,4]=>[1,6,2,7,4,5,3]=>170
[6,7,1,5,3,4,2]=>[1,6,4,5,3,2,7]=>32
[6,7,1,5,4,2,3]=>[1,6,2,7,3,4,5]=>40
[6,7,1,5,4,3,2]=>[1,6,3,2,7,4,5]=>122
[6,7,2,1,3,4,5]=>[1,6,4,2,7,5,3]=>250
[6,7,2,1,3,5,4]=>[1,6,5,3,2,7,4]=>125
[6,7,2,1,4,3,5]=>[1,6,3,2,7,5,4]=>432
[6,7,2,1,4,5,3]=>[1,6,5,4,2,7,3]=>70
[6,7,2,1,5,3,4]=>[1,6,3,2,7,4,5]=>122
[6,7,2,1,5,4,3]=>[1,6,4,2,7,3,5]=>118
[6,7,2,3,1,4,5]=>[1,6,4,3,2,7,5]=>224
[6,7,2,3,1,5,4]=>[1,6,5,2,7,4,3]=>139
[6,7,2,3,4,1,5]=>[1,6,2,7,5,4,3]=>294
[6,7,2,3,4,5,1]=>[1,6,5,4,3,2,7]=>42
[6,7,2,3,5,1,4]=>[1,6,2,7,4,3,5]=>95
[6,7,2,3,5,4,1]=>[1,6,4,3,2,7,5]=>224
[6,7,2,4,1,3,5]=>[1,6,3,2,7,5,4]=>432
[6,7,2,4,1,5,3]=>[1,6,5,2,7,3,4]=>65
[6,7,2,4,3,1,5]=>[1,6,2,7,5,3,4]=>145
[6,7,2,4,3,5,1]=>[1,6,5,3,2,7,4]=>125
[6,7,2,4,5,1,3]=>[1,6,2,7,3,4,5]=>40
[6,7,2,4,5,3,1]=>[1,6,3,2,7,4,5]=>122
[6,7,2,5,1,3,4]=>[1,6,3,2,7,4,5]=>122
[6,7,2,5,1,4,3]=>[1,6,4,5,2,7,3]=>54
[6,7,2,5,3,1,4]=>[1,6,2,7,4,5,3]=>170
[6,7,2,5,3,4,1]=>[1,6,4,5,3,2,7]=>32
[6,7,2,5,4,1,3]=>[1,6,2,7,3,4,5]=>40
[6,7,2,5,4,3,1]=>[1,6,3,2,7,4,5]=>122
[6,7,3,1,2,4,5]=>[1,6,4,2,7,5,3]=>250
[6,7,3,1,2,5,4]=>[1,6,5,2,7,4,3]=>139
[6,7,3,1,4,2,5]=>[1,6,2,7,5,4,3]=>294
[6,7,3,1,4,5,2]=>[1,6,5,4,2,7,3]=>70
[6,7,3,1,5,2,4]=>[1,6,2,7,4,3,5]=>95
[6,7,3,1,5,4,2]=>[1,6,4,2,7,3,5]=>118
[6,7,3,2,1,4,5]=>[1,6,4,2,7,5,3]=>250
[6,7,3,2,1,5,4]=>[1,6,5,2,7,4,3]=>139
[6,7,3,2,4,1,5]=>[1,6,2,7,5,4,3]=>294
[6,7,3,2,4,5,1]=>[1,6,5,4,2,7,3]=>70
[6,7,3,2,5,1,4]=>[1,6,2,7,4,3,5]=>95
[6,7,3,2,5,4,1]=>[1,6,4,2,7,3,5]=>118
[6,7,3,4,1,2,5]=>[1,6,2,7,5,3,4]=>145
[6,7,3,4,1,5,2]=>[1,6,5,2,7,3,4]=>65
[6,7,3,4,2,1,5]=>[1,6,2,7,5,3,4]=>145
[6,7,3,4,2,5,1]=>[1,6,5,2,7,3,4]=>65
[6,7,3,4,5,1,2]=>[1,6,2,7,3,4,5]=>40
[6,7,3,4,5,2,1]=>[1,6,2,7,3,4,5]=>40
[6,7,3,5,1,2,4]=>[1,6,2,7,4,5,3]=>170
[6,7,3,5,1,4,2]=>[1,6,4,5,2,7,3]=>54
[6,7,3,5,2,1,4]=>[1,6,2,7,4,5,3]=>170
[6,7,3,5,2,4,1]=>[1,6,4,5,2,7,3]=>54
[6,7,3,5,4,1,2]=>[1,6,2,7,3,4,5]=>40
[6,7,3,5,4,2,1]=>[1,6,2,7,3,4,5]=>40
[6,7,4,1,2,3,5]=>[1,6,3,4,2,7,5]=>105
[6,7,4,1,2,5,3]=>[1,6,5,2,7,3,4]=>65
[6,7,4,1,3,2,5]=>[1,6,2,7,5,3,4]=>145
[6,7,4,1,3,5,2]=>[1,6,5,3,4,2,7]=>32
[6,7,4,1,5,2,3]=>[1,6,2,7,3,4,5]=>40
[6,7,4,1,5,3,2]=>[1,6,3,4,2,7,5]=>105
[6,7,4,2,1,3,5]=>[1,6,3,4,2,7,5]=>105
[6,7,4,2,1,5,3]=>[1,6,5,2,7,3,4]=>65
[6,7,4,2,3,1,5]=>[1,6,2,7,5,3,4]=>145
[6,7,4,2,3,5,1]=>[1,6,5,3,4,2,7]=>32
[6,7,4,2,5,1,3]=>[1,6,2,7,3,4,5]=>40
[6,7,4,2,5,3,1]=>[1,6,3,4,2,7,5]=>105
[6,7,4,3,1,2,5]=>[1,6,2,7,5,3,4]=>145
[6,7,4,3,1,5,2]=>[1,6,5,2,7,3,4]=>65
[6,7,4,3,2,1,5]=>[1,6,2,7,5,3,4]=>145
[6,7,4,3,2,5,1]=>[1,6,5,2,7,3,4]=>65
[6,7,4,3,5,1,2]=>[1,6,2,7,3,4,5]=>40
[6,7,4,3,5,2,1]=>[1,6,2,7,3,4,5]=>40
[6,7,4,5,1,2,3]=>[1,6,2,7,3,4,5]=>40
[6,7,4,5,1,3,2]=>[1,6,3,4,5,2,7]=>17
[6,7,4,5,2,1,3]=>[1,6,2,7,3,4,5]=>40
[6,7,4,5,2,3,1]=>[1,6,3,4,5,2,7]=>17
[6,7,4,5,3,1,2]=>[1,6,2,7,3,4,5]=>40
[6,7,4,5,3,2,1]=>[1,6,2,7,3,4,5]=>40
[6,7,5,1,2,3,4]=>[1,6,3,5,2,7,4]=>129
[6,7,5,1,2,4,3]=>[1,6,4,2,7,3,5]=>118
[6,7,5,1,3,2,4]=>[1,6,2,7,4,3,5]=>95
[6,7,5,1,3,4,2]=>[1,6,4,2,7,3,5]=>118
[6,7,5,1,4,2,3]=>[1,6,2,7,3,5,4]=>135
[6,7,5,1,4,3,2]=>[1,6,3,5,4,2,7]=>43
[6,7,5,2,1,3,4]=>[1,6,3,5,2,7,4]=>129
[6,7,5,2,1,4,3]=>[1,6,4,2,7,3,5]=>118
[6,7,5,2,3,1,4]=>[1,6,2,7,4,3,5]=>95
[6,7,5,2,3,4,1]=>[1,6,4,2,7,3,5]=>118
[6,7,5,2,4,1,3]=>[1,6,2,7,3,5,4]=>135
[6,7,5,2,4,3,1]=>[1,6,3,5,4,2,7]=>43
[6,7,5,3,1,2,4]=>[1,6,2,7,4,3,5]=>95
[6,7,5,3,1,4,2]=>[1,6,4,3,5,2,7]=>26
[6,7,5,3,2,1,4]=>[1,6,2,7,4,3,5]=>95
[6,7,5,3,2,4,1]=>[1,6,4,3,5,2,7]=>26
[6,7,5,3,4,1,2]=>[1,6,2,7,3,5,4]=>135
[6,7,5,3,4,2,1]=>[1,6,2,7,3,5,4]=>135
[6,7,5,4,1,2,3]=>[1,6,2,7,3,5,4]=>135
[6,7,5,4,1,3,2]=>[1,6,3,5,2,7,4]=>129
[6,7,5,4,2,1,3]=>[1,6,2,7,3,5,4]=>135
[6,7,5,4,2,3,1]=>[1,6,3,5,2,7,4]=>129
[6,7,5,4,3,1,2]=>[1,6,2,7,3,5,4]=>135
[6,7,5,4,3,2,1]=>[1,6,2,7,3,5,4]=>135
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>132
[7,1,2,3,4,6,5]=>[1,7,5,4,3,2,6]=>56
[7,1,2,3,5,4,6]=>[1,7,6,4,3,2,5]=>66
[7,1,2,3,5,6,4]=>[1,7,4,3,2,5,6]=>24
[7,1,2,3,6,4,5]=>[1,7,5,6,4,3,2]=>104
[7,1,2,3,6,5,4]=>[1,7,4,3,2,5,6]=>24
[7,1,2,4,3,5,6]=>[1,7,6,5,3,2,4]=>76
[7,1,2,4,3,6,5]=>[1,7,5,3,2,4,6]=>30
[7,1,2,4,5,3,6]=>[1,7,6,3,2,4,5]=>34
[7,1,2,4,5,6,3]=>[1,7,3,2,4,5,6]=>11
[7,1,2,4,6,3,5]=>[1,7,5,6,3,2,4]=>62
[7,1,2,4,6,5,3]=>[1,7,3,2,4,5,6]=>11
[7,1,2,5,3,4,6]=>[1,7,6,4,5,3,2]=>107
[7,1,2,5,3,6,4]=>[1,7,4,5,3,2,6]=>41
[7,1,2,5,4,3,6]=>[1,7,6,3,2,4,5]=>34
[7,1,2,5,4,6,3]=>[1,7,3,2,4,5,6]=>11
[7,1,2,5,6,3,4]=>[1,7,4,5,6,3,2]=>62
[7,1,2,5,6,4,3]=>[1,7,3,2,4,5,6]=>11
[7,1,2,6,3,4,5]=>[1,7,5,3,2,4,6]=>30
[7,1,2,6,3,5,4]=>[1,7,4,6,5,3,2]=>151
[7,1,2,6,4,3,5]=>[1,7,5,4,6,3,2]=>89
[7,1,2,6,4,5,3]=>[1,7,3,2,4,6,5]=>77
[7,1,2,6,5,3,4]=>[1,7,4,6,3,2,5]=>97
[7,1,2,6,5,4,3]=>[1,7,3,2,4,6,5]=>77
[7,1,3,2,4,5,6]=>[1,7,6,5,4,2,3]=>90
[7,1,3,2,4,6,5]=>[1,7,5,4,2,3,6]=>37
[7,1,3,2,5,4,6]=>[1,7,6,4,2,3,5]=>43
[7,1,3,2,5,6,4]=>[1,7,4,2,3,5,6]=>15
[7,1,3,2,6,4,5]=>[1,7,5,6,4,2,3]=>72
[7,1,3,2,6,5,4]=>[1,7,4,2,3,5,6]=>15
[7,1,3,4,2,5,6]=>[1,7,6,5,2,3,4]=>48
[7,1,3,4,2,6,5]=>[1,7,5,2,3,4,6]=>18
[7,1,3,4,5,2,6]=>[1,7,6,2,3,4,5]=>20
[7,1,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>6
[7,1,3,4,6,2,5]=>[1,7,5,6,2,3,4]=>40
[7,1,3,4,6,5,2]=>[1,7,2,3,4,5,6]=>6
[7,1,3,5,2,4,6]=>[1,7,6,4,5,2,3]=>75
[7,1,3,5,2,6,4]=>[1,7,4,5,2,3,6]=>28
[7,1,3,5,4,2,6]=>[1,7,6,2,3,4,5]=>20
[7,1,3,5,4,6,2]=>[1,7,2,3,4,5,6]=>6
[7,1,3,5,6,2,4]=>[1,7,4,5,6,2,3]=>45
[7,1,3,5,6,4,2]=>[1,7,2,3,4,5,6]=>6
[7,1,3,6,2,4,5]=>[1,7,5,2,3,4,6]=>18
[7,1,3,6,2,5,4]=>[1,7,4,6,5,2,3]=>108
[7,1,3,6,4,2,5]=>[1,7,5,4,6,2,3]=>63
[7,1,3,6,4,5,2]=>[1,7,2,3,4,6,5]=>29
[7,1,3,6,5,2,4]=>[1,7,4,6,2,3,5]=>65
[7,1,3,6,5,4,2]=>[1,7,2,3,4,6,5]=>29
[7,1,4,2,3,5,6]=>[1,7,6,5,3,4,2]=>104
[7,1,4,2,3,6,5]=>[1,7,5,3,4,2,6]=>42
[7,1,4,2,5,3,6]=>[1,7,6,3,4,2,5]=>48
[7,1,4,2,5,6,3]=>[1,7,3,4,2,5,6]=>16
[7,1,4,2,6,3,5]=>[1,7,5,6,3,4,2]=>84
[7,1,4,2,6,5,3]=>[1,7,3,4,2,5,6]=>16
[7,1,4,3,2,5,6]=>[1,7,6,5,2,3,4]=>48
[7,1,4,3,2,6,5]=>[1,7,5,2,3,4,6]=>18
[7,1,4,3,5,2,6]=>[1,7,6,2,3,4,5]=>20
[7,1,4,3,5,6,2]=>[1,7,2,3,4,5,6]=>6
[7,1,4,3,6,2,5]=>[1,7,5,6,2,3,4]=>40
[7,1,4,3,6,5,2]=>[1,7,2,3,4,5,6]=>6
[7,1,4,5,2,3,6]=>[1,7,6,3,4,5,2]=>62
[7,1,4,5,2,6,3]=>[1,7,3,4,5,2,6]=>21
[7,1,4,5,3,2,6]=>[1,7,6,2,3,4,5]=>20
[7,1,4,5,3,6,2]=>[1,7,2,3,4,5,6]=>6
[7,1,4,5,6,2,3]=>[1,7,3,4,5,6,2]=>26
[7,1,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>6
[7,1,4,6,2,3,5]=>[1,7,5,2,3,4,6]=>18
[7,1,4,6,2,5,3]=>[1,7,3,4,6,5,2]=>94
[7,1,4,6,3,2,5]=>[1,7,5,3,4,6,2]=>54
[7,1,4,6,3,5,2]=>[1,7,2,3,4,6,5]=>29
[7,1,4,6,5,2,3]=>[1,7,3,4,6,2,5]=>75
[7,1,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>29
[7,1,5,2,3,4,6]=>[1,7,6,4,2,3,5]=>43
[7,1,5,2,3,6,4]=>[1,7,4,2,3,5,6]=>15
[7,1,5,2,4,3,6]=>[1,7,6,3,5,4,2]=>151
[7,1,5,2,4,6,3]=>[1,7,3,5,4,2,6]=>54
[7,1,5,2,6,3,4]=>[1,7,4,2,3,5,6]=>15
[7,1,5,2,6,4,3]=>[1,7,3,5,6,4,2]=>122
[7,1,5,3,2,4,6]=>[1,7,6,4,3,5,2]=>89
[7,1,5,3,2,6,4]=>[1,7,4,3,5,2,6]=>33
[7,1,5,3,4,2,6]=>[1,7,6,2,3,5,4]=>74
[7,1,5,3,4,6,2]=>[1,7,2,3,5,4,6]=>23
[7,1,5,3,6,2,4]=>[1,7,4,3,5,6,2]=>42
[7,1,5,3,6,4,2]=>[1,7,2,3,5,6,4]=>56
[7,1,5,4,2,3,6]=>[1,7,6,3,5,2,4]=>114
[7,1,5,4,2,6,3]=>[1,7,3,5,2,4,6]=>40
[7,1,5,4,3,2,6]=>[1,7,6,2,3,5,4]=>74
[7,1,5,4,3,6,2]=>[1,7,2,3,5,4,6]=>23
[7,1,5,4,6,2,3]=>[1,7,3,5,6,2,4]=>95
[7,1,5,4,6,3,2]=>[1,7,2,3,5,6,4]=>56
[7,1,5,6,2,3,4]=>[1,7,4,6,3,5,2]=>129
[7,1,5,6,2,4,3]=>[1,7,3,5,2,4,6]=>40
[7,1,5,6,3,2,4]=>[1,7,4,6,2,3,5]=>65
[7,1,5,6,3,4,2]=>[1,7,2,3,5,4,6]=>23
[7,1,5,6,4,2,3]=>[1,7,3,5,4,6,2]=>68
[7,1,5,6,4,3,2]=>[1,7,2,3,5,4,6]=>23
[7,1,6,2,3,4,5]=>[1,7,5,3,6,4,2]=>129
[7,1,6,2,3,5,4]=>[1,7,4,2,3,6,5]=>120
[7,1,6,2,4,3,5]=>[1,7,5,4,2,3,6]=>37
[7,1,6,2,4,5,3]=>[1,7,3,6,5,4,2]=>251
[7,1,6,2,5,3,4]=>[1,7,4,2,3,6,5]=>120
[7,1,6,2,5,4,3]=>[1,7,3,6,4,2,5]=>96
[7,1,6,3,2,4,5]=>[1,7,5,2,3,6,4]=>66
[7,1,6,3,2,5,4]=>[1,7,4,3,6,5,2]=>225
[7,1,6,3,4,2,5]=>[1,7,5,4,3,6,2]=>75
[7,1,6,3,4,5,2]=>[1,7,2,3,6,5,4]=>160
[7,1,6,3,5,2,4]=>[1,7,4,3,6,2,5]=>172
[7,1,6,3,5,4,2]=>[1,7,2,3,6,4,5]=>55
[7,1,6,4,2,3,5]=>[1,7,5,2,3,6,4]=>66
[7,1,6,4,2,5,3]=>[1,7,3,6,5,2,4]=>193
[7,1,6,4,3,2,5]=>[1,7,5,3,6,2,4]=>98
[7,1,6,4,3,5,2]=>[1,7,2,3,6,5,4]=>160
[7,1,6,4,5,2,3]=>[1,7,3,6,2,4,5]=>70
[7,1,6,4,5,3,2]=>[1,7,2,3,6,4,5]=>55
[7,1,6,5,2,3,4]=>[1,7,4,5,2,3,6]=>28
[7,1,6,5,2,4,3]=>[1,7,3,6,4,5,2]=>122
[7,1,6,5,3,2,4]=>[1,7,4,5,3,6,2]=>54
[7,1,6,5,3,4,2]=>[1,7,2,3,6,4,5]=>55
[7,1,6,5,4,2,3]=>[1,7,3,6,2,4,5]=>70
[7,1,6,5,4,3,2]=>[1,7,2,3,6,4,5]=>55
[7,2,1,3,4,5,6]=>[1,7,6,5,4,3,2]=>132
[7,2,1,3,4,6,5]=>[1,7,5,4,3,2,6]=>56
[7,2,1,3,5,4,6]=>[1,7,6,4,3,2,5]=>66
[7,2,1,3,5,6,4]=>[1,7,4,3,2,5,6]=>24
[7,2,1,3,6,4,5]=>[1,7,5,6,4,3,2]=>104
[7,2,1,3,6,5,4]=>[1,7,4,3,2,5,6]=>24
[7,2,1,4,3,5,6]=>[1,7,6,5,3,2,4]=>76
[7,2,1,4,3,6,5]=>[1,7,5,3,2,4,6]=>30
[7,2,1,4,5,3,6]=>[1,7,6,3,2,4,5]=>34
[7,2,1,4,5,6,3]=>[1,7,3,2,4,5,6]=>11
[7,2,1,4,6,3,5]=>[1,7,5,6,3,2,4]=>62
[7,2,1,4,6,5,3]=>[1,7,3,2,4,5,6]=>11
[7,2,1,5,3,4,6]=>[1,7,6,4,5,3,2]=>107
[7,2,1,5,3,6,4]=>[1,7,4,5,3,2,6]=>41
[7,2,1,5,4,3,6]=>[1,7,6,3,2,4,5]=>34
[7,2,1,5,4,6,3]=>[1,7,3,2,4,5,6]=>11
[7,2,1,5,6,3,4]=>[1,7,4,5,6,3,2]=>62
[7,2,1,5,6,4,3]=>[1,7,3,2,4,5,6]=>11
[7,2,1,6,3,4,5]=>[1,7,5,3,2,4,6]=>30
[7,2,1,6,3,5,4]=>[1,7,4,6,5,3,2]=>151
[7,2,1,6,4,3,5]=>[1,7,5,4,6,3,2]=>89
[7,2,1,6,4,5,3]=>[1,7,3,2,4,6,5]=>77
[7,2,1,6,5,3,4]=>[1,7,4,6,3,2,5]=>97
[7,2,1,6,5,4,3]=>[1,7,3,2,4,6,5]=>77
[7,2,3,1,4,5,6]=>[1,7,6,5,4,2,3]=>90
[7,2,3,1,4,6,5]=>[1,7,5,4,2,3,6]=>37
[7,2,3,1,5,4,6]=>[1,7,6,4,2,3,5]=>43
[7,2,3,1,5,6,4]=>[1,7,4,2,3,5,6]=>15
[7,2,3,1,6,4,5]=>[1,7,5,6,4,2,3]=>72
[7,2,3,1,6,5,4]=>[1,7,4,2,3,5,6]=>15
[7,2,3,4,1,5,6]=>[1,7,6,5,2,3,4]=>48
[7,2,3,4,1,6,5]=>[1,7,5,2,3,4,6]=>18
[7,2,3,4,5,1,6]=>[1,7,6,2,3,4,5]=>20
[7,2,3,4,5,6,1]=>[1,7,2,3,4,5,6]=>6
[7,2,3,4,6,1,5]=>[1,7,5,6,2,3,4]=>40
[7,2,3,4,6,5,1]=>[1,7,2,3,4,5,6]=>6
[7,2,3,5,1,4,6]=>[1,7,6,4,5,2,3]=>75
[7,2,3,5,1,6,4]=>[1,7,4,5,2,3,6]=>28
[7,2,3,5,4,1,6]=>[1,7,6,2,3,4,5]=>20
[7,2,3,5,4,6,1]=>[1,7,2,3,4,5,6]=>6
[7,2,3,5,6,1,4]=>[1,7,4,5,6,2,3]=>45
[7,2,3,5,6,4,1]=>[1,7,2,3,4,5,6]=>6
[7,2,3,6,1,4,5]=>[1,7,5,2,3,4,6]=>18
[7,2,3,6,1,5,4]=>[1,7,4,6,5,2,3]=>108
[7,2,3,6,4,1,5]=>[1,7,5,4,6,2,3]=>63
[7,2,3,6,4,5,1]=>[1,7,2,3,4,6,5]=>29
[7,2,3,6,5,1,4]=>[1,7,4,6,2,3,5]=>65
[7,2,3,6,5,4,1]=>[1,7,2,3,4,6,5]=>29
[7,2,4,1,3,5,6]=>[1,7,6,5,3,4,2]=>104
[7,2,4,1,3,6,5]=>[1,7,5,3,4,2,6]=>42
[7,2,4,1,5,3,6]=>[1,7,6,3,4,2,5]=>48
[7,2,4,1,5,6,3]=>[1,7,3,4,2,5,6]=>16
[7,2,4,1,6,3,5]=>[1,7,5,6,3,4,2]=>84
[7,2,4,1,6,5,3]=>[1,7,3,4,2,5,6]=>16
[7,2,4,3,1,5,6]=>[1,7,6,5,2,3,4]=>48
[7,2,4,3,1,6,5]=>[1,7,5,2,3,4,6]=>18
[7,2,4,3,5,1,6]=>[1,7,6,2,3,4,5]=>20
[7,2,4,3,5,6,1]=>[1,7,2,3,4,5,6]=>6
[7,2,4,3,6,1,5]=>[1,7,5,6,2,3,4]=>40
[7,2,4,3,6,5,1]=>[1,7,2,3,4,5,6]=>6
[7,2,4,5,1,3,6]=>[1,7,6,3,4,5,2]=>62
[7,2,4,5,1,6,3]=>[1,7,3,4,5,2,6]=>21
[7,2,4,5,3,1,6]=>[1,7,6,2,3,4,5]=>20
[7,2,4,5,3,6,1]=>[1,7,2,3,4,5,6]=>6
[7,2,4,5,6,1,3]=>[1,7,3,4,5,6,2]=>26
[7,2,4,5,6,3,1]=>[1,7,2,3,4,5,6]=>6
[7,2,4,6,1,3,5]=>[1,7,5,2,3,4,6]=>18
[7,2,4,6,1,5,3]=>[1,7,3,4,6,5,2]=>94
[7,2,4,6,3,1,5]=>[1,7,5,3,4,6,2]=>54
[7,2,4,6,3,5,1]=>[1,7,2,3,4,6,5]=>29
[7,2,4,6,5,1,3]=>[1,7,3,4,6,2,5]=>75
[7,2,4,6,5,3,1]=>[1,7,2,3,4,6,5]=>29
[7,2,5,1,3,4,6]=>[1,7,6,4,2,3,5]=>43
[7,2,5,1,3,6,4]=>[1,7,4,2,3,5,6]=>15
[7,2,5,1,4,3,6]=>[1,7,6,3,5,4,2]=>151
[7,2,5,1,4,6,3]=>[1,7,3,5,4,2,6]=>54
[7,2,5,1,6,3,4]=>[1,7,4,2,3,5,6]=>15
[7,2,5,1,6,4,3]=>[1,7,3,5,6,4,2]=>122
[7,2,5,3,1,4,6]=>[1,7,6,4,3,5,2]=>89
[7,2,5,3,1,6,4]=>[1,7,4,3,5,2,6]=>33
[7,2,5,3,4,1,6]=>[1,7,6,2,3,5,4]=>74
[7,2,5,3,4,6,1]=>[1,7,2,3,5,4,6]=>23
[7,2,5,3,6,1,4]=>[1,7,4,3,5,6,2]=>42
[7,2,5,3,6,4,1]=>[1,7,2,3,5,6,4]=>56
[7,2,5,4,1,3,6]=>[1,7,6,3,5,2,4]=>114
[7,2,5,4,1,6,3]=>[1,7,3,5,2,4,6]=>40
[7,2,5,4,3,1,6]=>[1,7,6,2,3,5,4]=>74
[7,2,5,4,3,6,1]=>[1,7,2,3,5,4,6]=>23
[7,2,5,4,6,1,3]=>[1,7,3,5,6,2,4]=>95
[7,2,5,4,6,3,1]=>[1,7,2,3,5,6,4]=>56
[7,2,5,6,1,3,4]=>[1,7,4,6,3,5,2]=>129
[7,2,5,6,1,4,3]=>[1,7,3,5,2,4,6]=>40
[7,2,5,6,3,1,4]=>[1,7,4,6,2,3,5]=>65
[7,2,5,6,3,4,1]=>[1,7,2,3,5,4,6]=>23
[7,2,5,6,4,1,3]=>[1,7,3,5,4,6,2]=>68
[7,2,5,6,4,3,1]=>[1,7,2,3,5,4,6]=>23
[7,2,6,1,3,4,5]=>[1,7,5,3,6,4,2]=>129
[7,2,6,1,3,5,4]=>[1,7,4,2,3,6,5]=>120
[7,2,6,1,4,3,5]=>[1,7,5,4,2,3,6]=>37
[7,2,6,1,4,5,3]=>[1,7,3,6,5,4,2]=>251
[7,2,6,1,5,3,4]=>[1,7,4,2,3,6,5]=>120
[7,2,6,1,5,4,3]=>[1,7,3,6,4,2,5]=>96
[7,2,6,3,1,4,5]=>[1,7,5,2,3,6,4]=>66
[7,2,6,3,1,5,4]=>[1,7,4,3,6,5,2]=>225
[7,2,6,3,4,1,5]=>[1,7,5,4,3,6,2]=>75
[7,2,6,3,4,5,1]=>[1,7,2,3,6,5,4]=>160
[7,2,6,3,5,1,4]=>[1,7,4,3,6,2,5]=>172
[7,2,6,3,5,4,1]=>[1,7,2,3,6,4,5]=>55
[7,2,6,4,1,3,5]=>[1,7,5,2,3,6,4]=>66
[7,2,6,4,1,5,3]=>[1,7,3,6,5,2,4]=>193
[7,2,6,4,3,1,5]=>[1,7,5,3,6,2,4]=>98
[7,2,6,4,3,5,1]=>[1,7,2,3,6,5,4]=>160
[7,2,6,4,5,1,3]=>[1,7,3,6,2,4,5]=>70
[7,2,6,4,5,3,1]=>[1,7,2,3,6,4,5]=>55
[7,2,6,5,1,3,4]=>[1,7,4,5,2,3,6]=>28
[7,2,6,5,1,4,3]=>[1,7,3,6,4,5,2]=>122
[7,2,6,5,3,1,4]=>[1,7,4,5,3,6,2]=>54
[7,2,6,5,3,4,1]=>[1,7,2,3,6,4,5]=>55
[7,2,6,5,4,1,3]=>[1,7,3,6,2,4,5]=>70
[7,2,6,5,4,3,1]=>[1,7,2,3,6,4,5]=>55
[7,3,1,2,4,5,6]=>[1,7,6,5,4,2,3]=>90
[7,3,1,2,4,6,5]=>[1,7,5,4,2,3,6]=>37
[7,3,1,2,5,4,6]=>[1,7,6,4,2,3,5]=>43
[7,3,1,2,5,6,4]=>[1,7,4,2,3,5,6]=>15
[7,3,1,2,6,4,5]=>[1,7,5,6,4,2,3]=>72
[7,3,1,2,6,5,4]=>[1,7,4,2,3,5,6]=>15
[7,3,1,4,2,5,6]=>[1,7,6,5,2,3,4]=>48
[7,3,1,4,2,6,5]=>[1,7,5,2,3,4,6]=>18
[7,3,1,4,5,2,6]=>[1,7,6,2,3,4,5]=>20
[7,3,1,4,5,6,2]=>[1,7,2,3,4,5,6]=>6
[7,3,1,4,6,2,5]=>[1,7,5,6,2,3,4]=>40
[7,3,1,4,6,5,2]=>[1,7,2,3,4,5,6]=>6
[7,3,1,5,2,4,6]=>[1,7,6,4,5,2,3]=>75
[7,3,1,5,2,6,4]=>[1,7,4,5,2,3,6]=>28
[7,3,1,5,4,2,6]=>[1,7,6,2,3,4,5]=>20
[7,3,1,5,4,6,2]=>[1,7,2,3,4,5,6]=>6
[7,3,1,5,6,2,4]=>[1,7,4,5,6,2,3]=>45
[7,3,1,5,6,4,2]=>[1,7,2,3,4,5,6]=>6
[7,3,1,6,2,4,5]=>[1,7,5,2,3,4,6]=>18
[7,3,1,6,2,5,4]=>[1,7,4,6,5,2,3]=>108
[7,3,1,6,4,2,5]=>[1,7,5,4,6,2,3]=>63
[7,3,1,6,4,5,2]=>[1,7,2,3,4,6,5]=>29
[7,3,1,6,5,2,4]=>[1,7,4,6,2,3,5]=>65
[7,3,1,6,5,4,2]=>[1,7,2,3,4,6,5]=>29
[7,3,2,1,4,5,6]=>[1,7,6,5,4,2,3]=>90
[7,3,2,1,4,6,5]=>[1,7,5,4,2,3,6]=>37
[7,3,2,1,5,4,6]=>[1,7,6,4,2,3,5]=>43
[7,3,2,1,5,6,4]=>[1,7,4,2,3,5,6]=>15
[7,3,2,1,6,4,5]=>[1,7,5,6,4,2,3]=>72
[7,3,2,1,6,5,4]=>[1,7,4,2,3,5,6]=>15
[7,3,2,4,1,5,6]=>[1,7,6,5,2,3,4]=>48
[7,3,2,4,1,6,5]=>[1,7,5,2,3,4,6]=>18
[7,3,2,4,5,1,6]=>[1,7,6,2,3,4,5]=>20
[7,3,2,4,5,6,1]=>[1,7,2,3,4,5,6]=>6
[7,3,2,4,6,1,5]=>[1,7,5,6,2,3,4]=>40
[7,3,2,4,6,5,1]=>[1,7,2,3,4,5,6]=>6
[7,3,2,5,1,4,6]=>[1,7,6,4,5,2,3]=>75
[7,3,2,5,1,6,4]=>[1,7,4,5,2,3,6]=>28
[7,3,2,5,4,1,6]=>[1,7,6,2,3,4,5]=>20
[7,3,2,5,4,6,1]=>[1,7,2,3,4,5,6]=>6
[7,3,2,5,6,1,4]=>[1,7,4,5,6,2,3]=>45
[7,3,2,5,6,4,1]=>[1,7,2,3,4,5,6]=>6
[7,3,2,6,1,4,5]=>[1,7,5,2,3,4,6]=>18
[7,3,2,6,1,5,4]=>[1,7,4,6,5,2,3]=>108
[7,3,2,6,4,1,5]=>[1,7,5,4,6,2,3]=>63
[7,3,2,6,4,5,1]=>[1,7,2,3,4,6,5]=>29
[7,3,2,6,5,1,4]=>[1,7,4,6,2,3,5]=>65
[7,3,2,6,5,4,1]=>[1,7,2,3,4,6,5]=>29
[7,3,4,1,2,5,6]=>[1,7,6,5,2,3,4]=>48
[7,3,4,1,2,6,5]=>[1,7,5,2,3,4,6]=>18
[7,3,4,1,5,2,6]=>[1,7,6,2,3,4,5]=>20
[7,3,4,1,5,6,2]=>[1,7,2,3,4,5,6]=>6
[7,3,4,1,6,2,5]=>[1,7,5,6,2,3,4]=>40
[7,3,4,1,6,5,2]=>[1,7,2,3,4,5,6]=>6
[7,3,4,2,1,5,6]=>[1,7,6,5,2,3,4]=>48
[7,3,4,2,1,6,5]=>[1,7,5,2,3,4,6]=>18
[7,3,4,2,5,1,6]=>[1,7,6,2,3,4,5]=>20
[7,3,4,2,5,6,1]=>[1,7,2,3,4,5,6]=>6
[7,3,4,2,6,1,5]=>[1,7,5,6,2,3,4]=>40
[7,3,4,2,6,5,1]=>[1,7,2,3,4,5,6]=>6
[7,3,4,5,1,2,6]=>[1,7,6,2,3,4,5]=>20
[7,3,4,5,1,6,2]=>[1,7,2,3,4,5,6]=>6
[7,3,4,5,2,1,6]=>[1,7,6,2,3,4,5]=>20
[7,3,4,5,2,6,1]=>[1,7,2,3,4,5,6]=>6
[7,3,4,5,6,1,2]=>[1,7,2,3,4,5,6]=>6
[7,3,4,5,6,2,1]=>[1,7,2,3,4,5,6]=>6
[7,3,4,6,1,2,5]=>[1,7,5,2,3,4,6]=>18
[7,3,4,6,1,5,2]=>[1,7,2,3,4,6,5]=>29
[7,3,4,6,2,1,5]=>[1,7,5,2,3,4,6]=>18
[7,3,4,6,2,5,1]=>[1,7,2,3,4,6,5]=>29
[7,3,4,6,5,1,2]=>[1,7,2,3,4,6,5]=>29
[7,3,4,6,5,2,1]=>[1,7,2,3,4,6,5]=>29
[7,3,5,1,2,4,6]=>[1,7,6,4,2,3,5]=>43
[7,3,5,1,2,6,4]=>[1,7,4,2,3,5,6]=>15
[7,3,5,1,4,2,6]=>[1,7,6,2,3,5,4]=>74
[7,3,5,1,4,6,2]=>[1,7,2,3,5,4,6]=>23
[7,3,5,1,6,2,4]=>[1,7,4,2,3,5,6]=>15
[7,3,5,1,6,4,2]=>[1,7,2,3,5,6,4]=>56
[7,3,5,2,1,4,6]=>[1,7,6,4,2,3,5]=>43
[7,3,5,2,1,6,4]=>[1,7,4,2,3,5,6]=>15
[7,3,5,2,4,1,6]=>[1,7,6,2,3,5,4]=>74
[7,3,5,2,4,6,1]=>[1,7,2,3,5,4,6]=>23
[7,3,5,2,6,1,4]=>[1,7,4,2,3,5,6]=>15
[7,3,5,2,6,4,1]=>[1,7,2,3,5,6,4]=>56
[7,3,5,4,1,2,6]=>[1,7,6,2,3,5,4]=>74
[7,3,5,4,1,6,2]=>[1,7,2,3,5,4,6]=>23
[7,3,5,4,2,1,6]=>[1,7,6,2,3,5,4]=>74
[7,3,5,4,2,6,1]=>[1,7,2,3,5,4,6]=>23
[7,3,5,4,6,1,2]=>[1,7,2,3,5,6,4]=>56
[7,3,5,4,6,2,1]=>[1,7,2,3,5,6,4]=>56
[7,3,5,6,1,2,4]=>[1,7,4,6,2,3,5]=>65
[7,3,5,6,1,4,2]=>[1,7,2,3,5,4,6]=>23
[7,3,5,6,2,1,4]=>[1,7,4,6,2,3,5]=>65
[7,3,5,6,2,4,1]=>[1,7,2,3,5,4,6]=>23
[7,3,5,6,4,1,2]=>[1,7,2,3,5,4,6]=>23
[7,3,5,6,4,2,1]=>[1,7,2,3,5,4,6]=>23
[7,3,6,1,2,4,5]=>[1,7,5,2,3,6,4]=>66
[7,3,6,1,2,5,4]=>[1,7,4,2,3,6,5]=>120
[7,3,6,1,4,2,5]=>[1,7,5,4,2,3,6]=>37
[7,3,6,1,4,5,2]=>[1,7,2,3,6,5,4]=>160
[7,3,6,1,5,2,4]=>[1,7,4,2,3,6,5]=>120
[7,3,6,1,5,4,2]=>[1,7,2,3,6,4,5]=>55
[7,3,6,2,1,4,5]=>[1,7,5,2,3,6,4]=>66
[7,3,6,2,1,5,4]=>[1,7,4,2,3,6,5]=>120
[7,3,6,2,4,1,5]=>[1,7,5,4,2,3,6]=>37
[7,3,6,2,4,5,1]=>[1,7,2,3,6,5,4]=>160
[7,3,6,2,5,1,4]=>[1,7,4,2,3,6,5]=>120
[7,3,6,2,5,4,1]=>[1,7,2,3,6,4,5]=>55
[7,3,6,4,1,2,5]=>[1,7,5,2,3,6,4]=>66
[7,3,6,4,1,5,2]=>[1,7,2,3,6,5,4]=>160
[7,3,6,4,2,1,5]=>[1,7,5,2,3,6,4]=>66
[7,3,6,4,2,5,1]=>[1,7,2,3,6,5,4]=>160
[7,3,6,4,5,1,2]=>[1,7,2,3,6,4,5]=>55
[7,3,6,4,5,2,1]=>[1,7,2,3,6,4,5]=>55
[7,3,6,5,1,2,4]=>[1,7,4,5,2,3,6]=>28
[7,3,6,5,1,4,2]=>[1,7,2,3,6,4,5]=>55
[7,3,6,5,2,1,4]=>[1,7,4,5,2,3,6]=>28
[7,3,6,5,2,4,1]=>[1,7,2,3,6,4,5]=>55
[7,3,6,5,4,1,2]=>[1,7,2,3,6,4,5]=>55
[7,3,6,5,4,2,1]=>[1,7,2,3,6,4,5]=>55
[7,4,1,2,3,5,6]=>[1,7,6,5,3,2,4]=>76
[7,4,1,2,3,6,5]=>[1,7,5,3,2,4,6]=>30
[7,4,1,2,5,3,6]=>[1,7,6,3,2,4,5]=>34
[7,4,1,2,5,6,3]=>[1,7,3,2,4,5,6]=>11
[7,4,1,2,6,3,5]=>[1,7,5,6,3,2,4]=>62
[7,4,1,2,6,5,3]=>[1,7,3,2,4,5,6]=>11
[7,4,1,3,2,5,6]=>[1,7,6,5,2,4,3]=>124
[7,4,1,3,2,6,5]=>[1,7,5,2,4,3,6]=>48
[7,4,1,3,5,2,6]=>[1,7,6,2,4,3,5]=>54
[7,4,1,3,5,6,2]=>[1,7,2,4,3,5,6]=>17
[7,4,1,3,6,2,5]=>[1,7,5,6,2,4,3]=>102
[7,4,1,3,6,5,2]=>[1,7,2,4,3,5,6]=>17
[7,4,1,5,2,3,6]=>[1,7,6,3,2,4,5]=>34
[7,4,1,5,2,6,3]=>[1,7,3,2,4,5,6]=>11
[7,4,1,5,3,2,6]=>[1,7,6,2,4,5,3]=>102
[7,4,1,5,3,6,2]=>[1,7,2,4,5,3,6]=>33
[7,4,1,5,6,2,3]=>[1,7,3,2,4,5,6]=>11
[7,4,1,5,6,3,2]=>[1,7,2,4,5,6,3]=>54
[7,4,1,6,2,3,5]=>[1,7,5,2,4,6,3]=>90
[7,4,1,6,2,5,3]=>[1,7,3,2,4,6,5]=>77
[7,4,1,6,3,2,5]=>[1,7,5,3,2,4,6]=>30
[7,4,1,6,3,5,2]=>[1,7,2,4,6,5,3]=>180
[7,4,1,6,5,2,3]=>[1,7,3,2,4,6,5]=>77
[7,4,1,6,5,3,2]=>[1,7,2,4,6,3,5]=>105
[7,4,2,1,3,5,6]=>[1,7,6,5,3,2,4]=>76
[7,4,2,1,3,6,5]=>[1,7,5,3,2,4,6]=>30
[7,4,2,1,5,3,6]=>[1,7,6,3,2,4,5]=>34
[7,4,2,1,5,6,3]=>[1,7,3,2,4,5,6]=>11
[7,4,2,1,6,3,5]=>[1,7,5,6,3,2,4]=>62
[7,4,2,1,6,5,3]=>[1,7,3,2,4,5,6]=>11
[7,4,2,3,1,5,6]=>[1,7,6,5,2,4,3]=>124
[7,4,2,3,1,6,5]=>[1,7,5,2,4,3,6]=>48
[7,4,2,3,5,1,6]=>[1,7,6,2,4,3,5]=>54
[7,4,2,3,5,6,1]=>[1,7,2,4,3,5,6]=>17
[7,4,2,3,6,1,5]=>[1,7,5,6,2,4,3]=>102
[7,4,2,3,6,5,1]=>[1,7,2,4,3,5,6]=>17
[7,4,2,5,1,3,6]=>[1,7,6,3,2,4,5]=>34
[7,4,2,5,1,6,3]=>[1,7,3,2,4,5,6]=>11
[7,4,2,5,3,1,6]=>[1,7,6,2,4,5,3]=>102
[7,4,2,5,3,6,1]=>[1,7,2,4,5,3,6]=>33
[7,4,2,5,6,1,3]=>[1,7,3,2,4,5,6]=>11
[7,4,2,5,6,3,1]=>[1,7,2,4,5,6,3]=>54
[7,4,2,6,1,3,5]=>[1,7,5,2,4,6,3]=>90
[7,4,2,6,1,5,3]=>[1,7,3,2,4,6,5]=>77
[7,4,2,6,3,1,5]=>[1,7,5,3,2,4,6]=>30
[7,4,2,6,3,5,1]=>[1,7,2,4,6,5,3]=>180
[7,4,2,6,5,1,3]=>[1,7,3,2,4,6,5]=>77
[7,4,2,6,5,3,1]=>[1,7,2,4,6,3,5]=>105
[7,4,3,1,2,5,6]=>[1,7,6,5,2,4,3]=>124
[7,4,3,1,2,6,5]=>[1,7,5,2,4,3,6]=>48
[7,4,3,1,5,2,6]=>[1,7,6,2,4,3,5]=>54
[7,4,3,1,5,6,2]=>[1,7,2,4,3,5,6]=>17
[7,4,3,1,6,2,5]=>[1,7,5,6,2,4,3]=>102
[7,4,3,1,6,5,2]=>[1,7,2,4,3,5,6]=>17
[7,4,3,2,1,5,6]=>[1,7,6,5,2,4,3]=>124
[7,4,3,2,1,6,5]=>[1,7,5,2,4,3,6]=>48
[7,4,3,2,5,1,6]=>[1,7,6,2,4,3,5]=>54
[7,4,3,2,5,6,1]=>[1,7,2,4,3,5,6]=>17
[7,4,3,2,6,1,5]=>[1,7,5,6,2,4,3]=>102
[7,4,3,2,6,5,1]=>[1,7,2,4,3,5,6]=>17
[7,4,3,5,1,2,6]=>[1,7,6,2,4,5,3]=>102
[7,4,3,5,1,6,2]=>[1,7,2,4,5,3,6]=>33
[7,4,3,5,2,1,6]=>[1,7,6,2,4,5,3]=>102
[7,4,3,5,2,6,1]=>[1,7,2,4,5,3,6]=>33
[7,4,3,5,6,1,2]=>[1,7,2,4,5,6,3]=>54
[7,4,3,5,6,2,1]=>[1,7,2,4,5,6,3]=>54
[7,4,3,6,1,2,5]=>[1,7,5,2,4,6,3]=>90
[7,4,3,6,1,5,2]=>[1,7,2,4,6,5,3]=>180
[7,4,3,6,2,1,5]=>[1,7,5,2,4,6,3]=>90
[7,4,3,6,2,5,1]=>[1,7,2,4,6,5,3]=>180
[7,4,3,6,5,1,2]=>[1,7,2,4,6,3,5]=>105
[7,4,3,6,5,2,1]=>[1,7,2,4,6,3,5]=>105
[7,4,5,1,2,3,6]=>[1,7,6,3,5,2,4]=>114
[7,4,5,1,2,6,3]=>[1,7,3,5,2,4,6]=>40
[7,4,5,1,3,2,6]=>[1,7,6,2,4,3,5]=>54
[7,4,5,1,3,6,2]=>[1,7,2,4,3,5,6]=>17
[7,4,5,1,6,2,3]=>[1,7,3,5,6,2,4]=>95
[7,4,5,1,6,3,2]=>[1,7,2,4,3,5,6]=>17
[7,4,5,2,1,3,6]=>[1,7,6,3,5,2,4]=>114
[7,4,5,2,1,6,3]=>[1,7,3,5,2,4,6]=>40
[7,4,5,2,3,1,6]=>[1,7,6,2,4,3,5]=>54
[7,4,5,2,3,6,1]=>[1,7,2,4,3,5,6]=>17
[7,4,5,2,6,1,3]=>[1,7,3,5,6,2,4]=>95
[7,4,5,2,6,3,1]=>[1,7,2,4,3,5,6]=>17
[7,4,5,3,1,2,6]=>[1,7,6,2,4,3,5]=>54
[7,4,5,3,1,6,2]=>[1,7,2,4,3,5,6]=>17
[7,4,5,3,2,1,6]=>[1,7,6,2,4,3,5]=>54
[7,4,5,3,2,6,1]=>[1,7,2,4,3,5,6]=>17
[7,4,5,3,6,1,2]=>[1,7,2,4,3,5,6]=>17
[7,4,5,3,6,2,1]=>[1,7,2,4,3,5,6]=>17
[7,4,5,6,1,2,3]=>[1,7,3,5,2,4,6]=>40
[7,4,5,6,1,3,2]=>[1,7,2,4,6,3,5]=>105
[7,4,5,6,2,1,3]=>[1,7,3,5,2,4,6]=>40
[7,4,5,6,2,3,1]=>[1,7,2,4,6,3,5]=>105
[7,4,5,6,3,1,2]=>[1,7,2,4,6,3,5]=>105
[7,4,5,6,3,2,1]=>[1,7,2,4,6,3,5]=>105
[7,4,6,1,2,3,5]=>[1,7,5,2,4,3,6]=>48
[7,4,6,1,2,5,3]=>[1,7,3,6,5,2,4]=>193
[7,4,6,1,3,2,5]=>[1,7,5,3,6,2,4]=>98
[7,4,6,1,3,5,2]=>[1,7,2,4,3,6,5]=>154
[7,4,6,1,5,2,3]=>[1,7,3,6,2,4,5]=>70
[7,4,6,1,5,3,2]=>[1,7,2,4,3,6,5]=>154
[7,4,6,2,1,3,5]=>[1,7,5,2,4,3,6]=>48
[7,4,6,2,1,5,3]=>[1,7,3,6,5,2,4]=>193
[7,4,6,2,3,1,5]=>[1,7,5,3,6,2,4]=>98
[7,4,6,2,3,5,1]=>[1,7,2,4,3,6,5]=>154
[7,4,6,2,5,1,3]=>[1,7,3,6,2,4,5]=>70
[7,4,6,2,5,3,1]=>[1,7,2,4,3,6,5]=>154
[7,4,6,3,1,2,5]=>[1,7,5,2,4,3,6]=>48
[7,4,6,3,1,5,2]=>[1,7,2,4,3,6,5]=>154
[7,4,6,3,2,1,5]=>[1,7,5,2,4,3,6]=>48
[7,4,6,3,2,5,1]=>[1,7,2,4,3,6,5]=>154
[7,4,6,3,5,1,2]=>[1,7,2,4,3,6,5]=>154
[7,4,6,3,5,2,1]=>[1,7,2,4,3,6,5]=>154
[7,4,6,5,1,2,3]=>[1,7,3,6,2,4,5]=>70
[7,4,6,5,1,3,2]=>[1,7,2,4,5,3,6]=>33
[7,4,6,5,2,1,3]=>[1,7,3,6,2,4,5]=>70
[7,4,6,5,2,3,1]=>[1,7,2,4,5,3,6]=>33
[7,4,6,5,3,1,2]=>[1,7,2,4,5,3,6]=>33
[7,4,6,5,3,2,1]=>[1,7,2,4,5,3,6]=>33
[7,5,1,2,3,4,6]=>[1,7,6,4,2,5,3]=>109
[7,5,1,2,3,6,4]=>[1,7,4,2,5,3,6]=>39
[7,5,1,2,4,3,6]=>[1,7,6,3,2,5,4]=>191
[7,5,1,2,4,6,3]=>[1,7,3,2,5,4,6]=>66
[7,5,1,2,6,3,4]=>[1,7,4,2,5,6,3]=>72
[7,5,1,2,6,4,3]=>[1,7,3,2,5,6,4]=>159
[7,5,1,3,2,4,6]=>[1,7,6,4,3,2,5]=>66
[7,5,1,3,2,6,4]=>[1,7,4,3,2,5,6]=>24
[7,5,1,3,4,2,6]=>[1,7,6,2,5,4,3]=>211
[7,5,1,3,4,6,2]=>[1,7,2,5,4,3,6]=>72
[7,5,1,3,6,2,4]=>[1,7,4,3,2,5,6]=>24
[7,5,1,3,6,4,2]=>[1,7,2,5,6,4,3]=>195
[7,5,1,4,2,3,6]=>[1,7,6,3,2,5,4]=>191
[7,5,1,4,2,6,3]=>[1,7,3,2,5,4,6]=>66
[7,5,1,4,3,2,6]=>[1,7,6,2,5,3,4]=>97
[7,5,1,4,3,6,2]=>[1,7,2,5,3,4,6]=>32
[7,5,1,4,6,2,3]=>[1,7,3,2,5,6,4]=>159
[7,5,1,4,6,3,2]=>[1,7,2,5,6,3,4]=>100
[7,5,1,6,2,3,4]=>[1,7,4,6,3,2,5]=>97
[7,5,1,6,2,4,3]=>[1,7,3,2,5,4,6]=>66
[7,5,1,6,3,2,4]=>[1,7,4,6,2,5,3]=>162
[7,5,1,6,3,4,2]=>[1,7,2,5,3,4,6]=>32
[7,5,1,6,4,2,3]=>[1,7,3,2,5,4,6]=>66
[7,5,1,6,4,3,2]=>[1,7,2,5,4,6,3]=>126
[7,5,2,1,3,4,6]=>[1,7,6,4,2,5,3]=>109
[7,5,2,1,3,6,4]=>[1,7,4,2,5,3,6]=>39
[7,5,2,1,4,3,6]=>[1,7,6,3,2,5,4]=>191
[7,5,2,1,4,6,3]=>[1,7,3,2,5,4,6]=>66
[7,5,2,1,6,3,4]=>[1,7,4,2,5,6,3]=>72
[7,5,2,1,6,4,3]=>[1,7,3,2,5,6,4]=>159
[7,5,2,3,1,4,6]=>[1,7,6,4,3,2,5]=>66
[7,5,2,3,1,6,4]=>[1,7,4,3,2,5,6]=>24
[7,5,2,3,4,1,6]=>[1,7,6,2,5,4,3]=>211
[7,5,2,3,4,6,1]=>[1,7,2,5,4,3,6]=>72
[7,5,2,3,6,1,4]=>[1,7,4,3,2,5,6]=>24
[7,5,2,3,6,4,1]=>[1,7,2,5,6,4,3]=>195
[7,5,2,4,1,3,6]=>[1,7,6,3,2,5,4]=>191
[7,5,2,4,1,6,3]=>[1,7,3,2,5,4,6]=>66
[7,5,2,4,3,1,6]=>[1,7,6,2,5,3,4]=>97
[7,5,2,4,3,6,1]=>[1,7,2,5,3,4,6]=>32
[7,5,2,4,6,1,3]=>[1,7,3,2,5,6,4]=>159
[7,5,2,4,6,3,1]=>[1,7,2,5,6,3,4]=>100
[7,5,2,6,1,3,4]=>[1,7,4,6,3,2,5]=>97
[7,5,2,6,1,4,3]=>[1,7,3,2,5,4,6]=>66
[7,5,2,6,3,1,4]=>[1,7,4,6,2,5,3]=>162
[7,5,2,6,3,4,1]=>[1,7,2,5,3,4,6]=>32
[7,5,2,6,4,1,3]=>[1,7,3,2,5,4,6]=>66
[7,5,2,6,4,3,1]=>[1,7,2,5,4,6,3]=>126
[7,5,3,1,2,4,6]=>[1,7,6,4,2,5,3]=>109
[7,5,3,1,2,6,4]=>[1,7,4,2,5,3,6]=>39
[7,5,3,1,4,2,6]=>[1,7,6,2,5,4,3]=>211
[7,5,3,1,4,6,2]=>[1,7,2,5,4,3,6]=>72
[7,5,3,1,6,2,4]=>[1,7,4,2,5,6,3]=>72
[7,5,3,1,6,4,2]=>[1,7,2,5,6,4,3]=>195
[7,5,3,2,1,4,6]=>[1,7,6,4,2,5,3]=>109
[7,5,3,2,1,6,4]=>[1,7,4,2,5,3,6]=>39
[7,5,3,2,4,1,6]=>[1,7,6,2,5,4,3]=>211
[7,5,3,2,4,6,1]=>[1,7,2,5,4,3,6]=>72
[7,5,3,2,6,1,4]=>[1,7,4,2,5,6,3]=>72
[7,5,3,2,6,4,1]=>[1,7,2,5,6,4,3]=>195
[7,5,3,4,1,2,6]=>[1,7,6,2,5,3,4]=>97
[7,5,3,4,1,6,2]=>[1,7,2,5,3,4,6]=>32
[7,5,3,4,2,1,6]=>[1,7,6,2,5,3,4]=>97
[7,5,3,4,2,6,1]=>[1,7,2,5,3,4,6]=>32
[7,5,3,4,6,1,2]=>[1,7,2,5,6,3,4]=>100
[7,5,3,4,6,2,1]=>[1,7,2,5,6,3,4]=>100
[7,5,3,6,1,2,4]=>[1,7,4,6,2,5,3]=>162
[7,5,3,6,1,4,2]=>[1,7,2,5,3,4,6]=>32
[7,5,3,6,2,1,4]=>[1,7,4,6,2,5,3]=>162
[7,5,3,6,2,4,1]=>[1,7,2,5,3,4,6]=>32
[7,5,3,6,4,1,2]=>[1,7,2,5,4,6,3]=>126
[7,5,3,6,4,2,1]=>[1,7,2,5,4,6,3]=>126
[7,5,4,1,2,3,6]=>[1,7,6,3,4,2,5]=>48
[7,5,4,1,2,6,3]=>[1,7,3,4,2,5,6]=>16
[7,5,4,1,3,2,6]=>[1,7,6,2,5,3,4]=>97
[7,5,4,1,3,6,2]=>[1,7,2,5,3,4,6]=>32
[7,5,4,1,6,2,3]=>[1,7,3,4,2,5,6]=>16
[7,5,4,1,6,3,2]=>[1,7,2,5,6,3,4]=>100
[7,5,4,2,1,3,6]=>[1,7,6,3,4,2,5]=>48
[7,5,4,2,1,6,3]=>[1,7,3,4,2,5,6]=>16
[7,5,4,2,3,1,6]=>[1,7,6,2,5,3,4]=>97
[7,5,4,2,3,6,1]=>[1,7,2,5,3,4,6]=>32
[7,5,4,2,6,1,3]=>[1,7,3,4,2,5,6]=>16
[7,5,4,2,6,3,1]=>[1,7,2,5,6,3,4]=>100
[7,5,4,3,1,2,6]=>[1,7,6,2,5,3,4]=>97
[7,5,4,3,1,6,2]=>[1,7,2,5,3,4,6]=>32
[7,5,4,3,2,1,6]=>[1,7,6,2,5,3,4]=>97
[7,5,4,3,2,6,1]=>[1,7,2,5,3,4,6]=>32
[7,5,4,3,6,1,2]=>[1,7,2,5,6,3,4]=>100
[7,5,4,3,6,2,1]=>[1,7,2,5,6,3,4]=>100
[7,5,4,6,1,2,3]=>[1,7,3,4,6,2,5]=>75
[7,5,4,6,1,3,2]=>[1,7,2,5,3,4,6]=>32
[7,5,4,6,2,1,3]=>[1,7,3,4,6,2,5]=>75
[7,5,4,6,2,3,1]=>[1,7,2,5,3,4,6]=>32
[7,5,4,6,3,1,2]=>[1,7,2,5,3,4,6]=>32
[7,5,4,6,3,2,1]=>[1,7,2,5,3,4,6]=>32
[7,5,6,1,2,3,4]=>[1,7,4,2,5,3,6]=>39
[7,5,6,1,2,4,3]=>[1,7,3,6,4,2,5]=>96
[7,5,6,1,3,2,4]=>[1,7,4,2,5,3,6]=>39
[7,5,6,1,3,4,2]=>[1,7,2,5,3,6,4]=>104
[7,5,6,1,4,2,3]=>[1,7,3,6,2,5,4]=>328
[7,5,6,1,4,3,2]=>[1,7,2,5,4,3,6]=>72
[7,5,6,2,1,3,4]=>[1,7,4,2,5,3,6]=>39
[7,5,6,2,1,4,3]=>[1,7,3,6,4,2,5]=>96
[7,5,6,2,3,1,4]=>[1,7,4,2,5,3,6]=>39
[7,5,6,2,3,4,1]=>[1,7,2,5,3,6,4]=>104
[7,5,6,2,4,1,3]=>[1,7,3,6,2,5,4]=>328
[7,5,6,2,4,3,1]=>[1,7,2,5,4,3,6]=>72
[7,5,6,3,1,2,4]=>[1,7,4,3,6,2,5]=>172
[7,5,6,3,1,4,2]=>[1,7,2,5,3,6,4]=>104
[7,5,6,3,2,1,4]=>[1,7,4,3,6,2,5]=>172
[7,5,6,3,2,4,1]=>[1,7,2,5,3,6,4]=>104
[7,5,6,3,4,1,2]=>[1,7,2,5,4,3,6]=>72
[7,5,6,3,4,2,1]=>[1,7,2,5,4,3,6]=>72
[7,5,6,4,1,2,3]=>[1,7,3,6,2,5,4]=>328
[7,5,6,4,1,3,2]=>[1,7,2,5,3,6,4]=>104
[7,5,6,4,2,1,3]=>[1,7,3,6,2,5,4]=>328
[7,5,6,4,2,3,1]=>[1,7,2,5,3,6,4]=>104
[7,5,6,4,3,1,2]=>[1,7,2,5,3,6,4]=>104
[7,5,6,4,3,2,1]=>[1,7,2,5,3,6,4]=>104
[7,6,1,2,3,4,5]=>[1,7,5,3,2,6,4]=>165
[7,6,1,2,3,5,4]=>[1,7,4,2,6,5,3]=>324
[7,6,1,2,4,3,5]=>[1,7,5,4,2,6,3]=>93
[7,6,1,2,4,5,3]=>[1,7,3,2,6,5,4]=>553
[7,6,1,2,5,3,4]=>[1,7,4,2,6,3,5]=>152
[7,6,1,2,5,4,3]=>[1,7,3,2,6,4,5]=>154
[7,6,1,3,2,4,5]=>[1,7,5,2,6,4,3]=>183
[7,6,1,3,2,5,4]=>[1,7,4,3,2,6,5]=>291
[7,6,1,3,4,2,5]=>[1,7,5,4,3,2,6]=>56
[7,6,1,3,4,5,2]=>[1,7,2,6,5,4,3]=>378
[7,6,1,3,5,2,4]=>[1,7,4,3,2,6,5]=>291
[7,6,1,3,5,4,2]=>[1,7,2,6,4,3,5]=>120
[7,6,1,4,2,3,5]=>[1,7,5,2,6,3,4]=>85
[7,6,1,4,2,5,3]=>[1,7,3,2,6,5,4]=>553
[7,6,1,4,3,2,5]=>[1,7,5,3,2,6,4]=>165
[7,6,1,4,3,5,2]=>[1,7,2,6,5,3,4]=>185
[7,6,1,4,5,2,3]=>[1,7,3,2,6,4,5]=>154
[7,6,1,4,5,3,2]=>[1,7,2,6,3,4,5]=>50
[7,6,1,5,2,3,4]=>[1,7,4,5,2,6,3]=>69
[7,6,1,5,2,4,3]=>[1,7,3,2,6,4,5]=>154
[7,6,1,5,3,2,4]=>[1,7,4,5,3,2,6]=>41
[7,6,1,5,3,4,2]=>[1,7,2,6,4,5,3]=>216
[7,6,1,5,4,2,3]=>[1,7,3,2,6,4,5]=>154
[7,6,1,5,4,3,2]=>[1,7,2,6,3,4,5]=>50
[7,6,2,1,3,4,5]=>[1,7,5,3,2,6,4]=>165
[7,6,2,1,3,5,4]=>[1,7,4,2,6,5,3]=>324
[7,6,2,1,4,3,5]=>[1,7,5,4,2,6,3]=>93
[7,6,2,1,4,5,3]=>[1,7,3,2,6,5,4]=>553
[7,6,2,1,5,3,4]=>[1,7,4,2,6,3,5]=>152
[7,6,2,1,5,4,3]=>[1,7,3,2,6,4,5]=>154
[7,6,2,3,1,4,5]=>[1,7,5,2,6,4,3]=>183
[7,6,2,3,1,5,4]=>[1,7,4,3,2,6,5]=>291
[7,6,2,3,4,1,5]=>[1,7,5,4,3,2,6]=>56
[7,6,2,3,4,5,1]=>[1,7,2,6,5,4,3]=>378
[7,6,2,3,5,1,4]=>[1,7,4,3,2,6,5]=>291
[7,6,2,3,5,4,1]=>[1,7,2,6,4,3,5]=>120
[7,6,2,4,1,3,5]=>[1,7,5,2,6,3,4]=>85
[7,6,2,4,1,5,3]=>[1,7,3,2,6,5,4]=>553
[7,6,2,4,3,1,5]=>[1,7,5,3,2,6,4]=>165
[7,6,2,4,3,5,1]=>[1,7,2,6,5,3,4]=>185
[7,6,2,4,5,1,3]=>[1,7,3,2,6,4,5]=>154
[7,6,2,4,5,3,1]=>[1,7,2,6,3,4,5]=>50
[7,6,2,5,1,3,4]=>[1,7,4,5,2,6,3]=>69
[7,6,2,5,1,4,3]=>[1,7,3,2,6,4,5]=>154
[7,6,2,5,3,1,4]=>[1,7,4,5,3,2,6]=>41
[7,6,2,5,3,4,1]=>[1,7,2,6,4,5,3]=>216
[7,6,2,5,4,1,3]=>[1,7,3,2,6,4,5]=>154
[7,6,2,5,4,3,1]=>[1,7,2,6,3,4,5]=>50
[7,6,3,1,2,4,5]=>[1,7,5,2,6,4,3]=>183
[7,6,3,1,2,5,4]=>[1,7,4,2,6,5,3]=>324
[7,6,3,1,4,2,5]=>[1,7,5,4,2,6,3]=>93
[7,6,3,1,4,5,2]=>[1,7,2,6,5,4,3]=>378
[7,6,3,1,5,2,4]=>[1,7,4,2,6,3,5]=>152
[7,6,3,1,5,4,2]=>[1,7,2,6,4,3,5]=>120
[7,6,3,2,1,4,5]=>[1,7,5,2,6,4,3]=>183
[7,6,3,2,1,5,4]=>[1,7,4,2,6,5,3]=>324
[7,6,3,2,4,1,5]=>[1,7,5,4,2,6,3]=>93
[7,6,3,2,4,5,1]=>[1,7,2,6,5,4,3]=>378
[7,6,3,2,5,1,4]=>[1,7,4,2,6,3,5]=>152
[7,6,3,2,5,4,1]=>[1,7,2,6,4,3,5]=>120
[7,6,3,4,1,2,5]=>[1,7,5,2,6,3,4]=>85
[7,6,3,4,1,5,2]=>[1,7,2,6,5,3,4]=>185
[7,6,3,4,2,1,5]=>[1,7,5,2,6,3,4]=>85
[7,6,3,4,2,5,1]=>[1,7,2,6,5,3,4]=>185
[7,6,3,4,5,1,2]=>[1,7,2,6,3,4,5]=>50
[7,6,3,4,5,2,1]=>[1,7,2,6,3,4,5]=>50
[7,6,3,5,1,2,4]=>[1,7,4,5,2,6,3]=>69
[7,6,3,5,1,4,2]=>[1,7,2,6,4,5,3]=>216
[7,6,3,5,2,1,4]=>[1,7,4,5,2,6,3]=>69
[7,6,3,5,2,4,1]=>[1,7,2,6,4,5,3]=>216
[7,6,3,5,4,1,2]=>[1,7,2,6,3,4,5]=>50
[7,6,3,5,4,2,1]=>[1,7,2,6,3,4,5]=>50
[7,6,4,1,2,3,5]=>[1,7,5,2,6,3,4]=>85
[7,6,4,1,2,5,3]=>[1,7,3,4,2,6,5]=>131
[7,6,4,1,3,2,5]=>[1,7,5,3,4,2,6]=>42
[7,6,4,1,3,5,2]=>[1,7,2,6,5,3,4]=>185
[7,6,4,1,5,2,3]=>[1,7,3,4,2,6,5]=>131
[7,6,4,1,5,3,2]=>[1,7,2,6,3,4,5]=>50
[7,6,4,2,1,3,5]=>[1,7,5,2,6,3,4]=>85
[7,6,4,2,1,5,3]=>[1,7,3,4,2,6,5]=>131
[7,6,4,2,3,1,5]=>[1,7,5,3,4,2,6]=>42
[7,6,4,2,3,5,1]=>[1,7,2,6,5,3,4]=>185
[7,6,4,2,5,1,3]=>[1,7,3,4,2,6,5]=>131
[7,6,4,2,5,3,1]=>[1,7,2,6,3,4,5]=>50
[7,6,4,3,1,2,5]=>[1,7,5,2,6,3,4]=>85
[7,6,4,3,1,5,2]=>[1,7,2,6,5,3,4]=>185
[7,6,4,3,2,1,5]=>[1,7,5,2,6,3,4]=>85
[7,6,4,3,2,5,1]=>[1,7,2,6,5,3,4]=>185
[7,6,4,3,5,1,2]=>[1,7,2,6,3,4,5]=>50
[7,6,4,3,5,2,1]=>[1,7,2,6,3,4,5]=>50
[7,6,4,5,1,2,3]=>[1,7,3,4,5,2,6]=>21
[7,6,4,5,1,3,2]=>[1,7,2,6,3,4,5]=>50
[7,6,4,5,2,1,3]=>[1,7,3,4,5,2,6]=>21
[7,6,4,5,2,3,1]=>[1,7,2,6,3,4,5]=>50
[7,6,4,5,3,1,2]=>[1,7,2,6,3,4,5]=>50
[7,6,4,5,3,2,1]=>[1,7,2,6,3,4,5]=>50
[7,6,5,1,2,3,4]=>[1,7,4,2,6,3,5]=>152
[7,6,5,1,2,4,3]=>[1,7,3,5,2,6,4]=>163
[7,6,5,1,3,2,4]=>[1,7,4,2,6,3,5]=>152
[7,6,5,1,3,4,2]=>[1,7,2,6,4,3,5]=>120
[7,6,5,1,4,2,3]=>[1,7,3,5,4,2,6]=>54
[7,6,5,1,4,3,2]=>[1,7,2,6,3,5,4]=>170
[7,6,5,2,1,3,4]=>[1,7,4,2,6,3,5]=>152
[7,6,5,2,1,4,3]=>[1,7,3,5,2,6,4]=>163
[7,6,5,2,3,1,4]=>[1,7,4,2,6,3,5]=>152
[7,6,5,2,3,4,1]=>[1,7,2,6,4,3,5]=>120
[7,6,5,2,4,1,3]=>[1,7,3,5,4,2,6]=>54
[7,6,5,2,4,3,1]=>[1,7,2,6,3,5,4]=>170
[7,6,5,3,1,2,4]=>[1,7,4,3,5,2,6]=>33
[7,6,5,3,1,4,2]=>[1,7,2,6,4,3,5]=>120
[7,6,5,3,2,1,4]=>[1,7,4,3,5,2,6]=>33
[7,6,5,3,2,4,1]=>[1,7,2,6,4,3,5]=>120
[7,6,5,3,4,1,2]=>[1,7,2,6,3,5,4]=>170
[7,6,5,3,4,2,1]=>[1,7,2,6,3,5,4]=>170
[7,6,5,4,1,2,3]=>[1,7,3,5,2,6,4]=>163
[7,6,5,4,1,3,2]=>[1,7,2,6,3,5,4]=>170
[7,6,5,4,2,1,3]=>[1,7,3,5,2,6,4]=>163
[7,6,5,4,2,3,1]=>[1,7,2,6,3,5,4]=>170
[7,6,5,4,3,1,2]=>[1,7,2,6,3,5,4]=>170
[7,6,5,4,3,2,1]=>[1,7,2,6,3,5,4]=>170
[]=>[]=>1
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 alternating sign matrices whose left key is the permutation.
The left key of an alternating sign matrix was defined by Lascoux
in [2] and is obtained by successively removing all the `-1`'s until what remains is a permutation matrix. This notion corresponds to the notion of left key for semistandard tableaux.
The left key of an alternating sign matrix was defined by Lascoux
in [2] and is obtained by successively removing all the `-1`'s until what remains is a permutation matrix. This notion corresponds to the notion of left key for semistandard tableaux.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
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