Identifier
-
Mp00064:
Permutations
—reverse⟶
Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00064: Permutations —reverse⟶ Permutations
St000220: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>[1]=>[1]=>0
[1,2]=>[2,1]=>[2,1]=>[1,2]=>0
[2,1]=>[1,2]=>[1,2]=>[2,1]=>0
[1,2,3]=>[3,2,1]=>[3,2,1]=>[1,2,3]=>0
[1,3,2]=>[2,3,1]=>[3,1,2]=>[2,1,3]=>0
[2,1,3]=>[3,1,2]=>[2,3,1]=>[1,3,2]=>1
[2,3,1]=>[1,3,2]=>[1,3,2]=>[2,3,1]=>0
[3,1,2]=>[2,1,3]=>[2,1,3]=>[3,1,2]=>0
[3,2,1]=>[1,2,3]=>[1,2,3]=>[3,2,1]=>0
[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>0
[1,2,4,3]=>[3,4,2,1]=>[4,3,1,2]=>[2,1,3,4]=>0
[1,3,2,4]=>[4,2,3,1]=>[4,2,3,1]=>[1,3,2,4]=>1
[1,3,4,2]=>[2,4,3,1]=>[4,1,3,2]=>[2,3,1,4]=>0
[1,4,2,3]=>[3,2,4,1]=>[4,2,1,3]=>[3,1,2,4]=>0
[1,4,3,2]=>[2,3,4,1]=>[4,1,2,3]=>[3,2,1,4]=>0
[2,1,3,4]=>[4,3,1,2]=>[3,4,2,1]=>[1,2,4,3]=>2
[2,1,4,3]=>[3,4,1,2]=>[3,4,1,2]=>[2,1,4,3]=>2
[2,3,1,4]=>[4,1,3,2]=>[2,4,3,1]=>[1,3,4,2]=>2
[2,3,4,1]=>[1,4,3,2]=>[1,4,3,2]=>[2,3,4,1]=>0
[2,4,1,3]=>[3,1,4,2]=>[2,4,1,3]=>[3,1,4,2]=>1
[2,4,3,1]=>[1,3,4,2]=>[1,4,2,3]=>[3,2,4,1]=>0
[3,1,2,4]=>[4,2,1,3]=>[3,2,4,1]=>[1,4,2,3]=>2
[3,1,4,2]=>[2,4,1,3]=>[3,1,4,2]=>[2,4,1,3]=>1
[3,2,1,4]=>[4,1,2,3]=>[2,3,4,1]=>[1,4,3,2]=>3
[3,2,4,1]=>[1,4,2,3]=>[1,3,4,2]=>[2,4,3,1]=>1
[3,4,1,2]=>[2,1,4,3]=>[2,1,4,3]=>[3,4,1,2]=>0
[3,4,2,1]=>[1,2,4,3]=>[1,2,4,3]=>[3,4,2,1]=>0
[4,1,2,3]=>[3,2,1,4]=>[3,2,1,4]=>[4,1,2,3]=>0
[4,1,3,2]=>[2,3,1,4]=>[3,1,2,4]=>[4,2,1,3]=>0
[4,2,1,3]=>[3,1,2,4]=>[2,3,1,4]=>[4,1,3,2]=>1
[4,2,3,1]=>[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>0
[4,3,1,2]=>[2,1,3,4]=>[2,1,3,4]=>[4,3,1,2]=>0
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>0
[1,2,3,4,5]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>0
[1,2,3,5,4]=>[4,5,3,2,1]=>[5,4,3,1,2]=>[2,1,3,4,5]=>0
[1,2,4,3,5]=>[5,3,4,2,1]=>[5,4,2,3,1]=>[1,3,2,4,5]=>1
[1,2,4,5,3]=>[3,5,4,2,1]=>[5,4,1,3,2]=>[2,3,1,4,5]=>0
[1,2,5,3,4]=>[4,3,5,2,1]=>[5,4,2,1,3]=>[3,1,2,4,5]=>0
[1,2,5,4,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>[3,2,1,4,5]=>0
[1,3,2,4,5]=>[5,4,2,3,1]=>[5,3,4,2,1]=>[1,2,4,3,5]=>2
[1,3,2,5,4]=>[4,5,2,3,1]=>[5,3,4,1,2]=>[2,1,4,3,5]=>2
[1,3,4,2,5]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[1,3,4,2,5]=>2
[1,3,4,5,2]=>[2,5,4,3,1]=>[5,1,4,3,2]=>[2,3,4,1,5]=>0
[1,3,5,2,4]=>[4,2,5,3,1]=>[5,2,4,1,3]=>[3,1,4,2,5]=>1
[1,3,5,4,2]=>[2,4,5,3,1]=>[5,1,4,2,3]=>[3,2,4,1,5]=>0
[1,4,2,3,5]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[1,4,2,3,5]=>2
[1,4,2,5,3]=>[3,5,2,4,1]=>[5,3,1,4,2]=>[2,4,1,3,5]=>1
[1,4,3,2,5]=>[5,2,3,4,1]=>[5,2,3,4,1]=>[1,4,3,2,5]=>3
[1,4,3,5,2]=>[2,5,3,4,1]=>[5,1,3,4,2]=>[2,4,3,1,5]=>1
[1,4,5,2,3]=>[3,2,5,4,1]=>[5,2,1,4,3]=>[3,4,1,2,5]=>0
[1,4,5,3,2]=>[2,3,5,4,1]=>[5,1,2,4,3]=>[3,4,2,1,5]=>0
[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,2,1,4]=>[4,1,2,3,5]=>0
[1,5,2,4,3]=>[3,4,2,5,1]=>[5,3,1,2,4]=>[4,2,1,3,5]=>0
[1,5,3,2,4]=>[4,2,3,5,1]=>[5,2,3,1,4]=>[4,1,3,2,5]=>1
[1,5,3,4,2]=>[2,4,3,5,1]=>[5,1,3,2,4]=>[4,2,3,1,5]=>0
[1,5,4,2,3]=>[3,2,4,5,1]=>[5,2,1,3,4]=>[4,3,1,2,5]=>0
[1,5,4,3,2]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[4,3,2,1,5]=>0
[2,1,3,4,5]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[1,2,3,5,4]=>3
[2,1,3,5,4]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[2,1,3,5,4]=>3
[2,1,4,3,5]=>[5,3,4,1,2]=>[4,5,2,3,1]=>[1,3,2,5,4]=>4
[2,1,4,5,3]=>[3,5,4,1,2]=>[4,5,1,3,2]=>[2,3,1,5,4]=>3
[2,1,5,3,4]=>[4,3,5,1,2]=>[4,5,2,1,3]=>[3,1,2,5,4]=>3
[2,1,5,4,3]=>[3,4,5,1,2]=>[4,5,1,2,3]=>[3,2,1,5,4]=>3
[2,3,1,4,5]=>[5,4,1,3,2]=>[3,5,4,2,1]=>[1,2,4,5,3]=>4
[2,3,1,5,4]=>[4,5,1,3,2]=>[3,5,4,1,2]=>[2,1,4,5,3]=>4
[2,3,4,1,5]=>[5,1,4,3,2]=>[2,5,4,3,1]=>[1,3,4,5,2]=>3
[2,3,4,5,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[2,3,4,5,1]=>0
[2,3,5,1,4]=>[4,1,5,3,2]=>[2,5,4,1,3]=>[3,1,4,5,2]=>2
[2,3,5,4,1]=>[1,4,5,3,2]=>[1,5,4,2,3]=>[3,2,4,5,1]=>0
[2,4,1,3,5]=>[5,3,1,4,2]=>[3,5,2,4,1]=>[1,4,2,5,3]=>4
[2,4,1,5,3]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[2,4,1,5,3]=>3
[2,4,3,1,5]=>[5,1,3,4,2]=>[2,5,3,4,1]=>[1,4,3,5,2]=>4
[2,4,3,5,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>[2,4,3,5,1]=>1
[2,4,5,1,3]=>[3,1,5,4,2]=>[2,5,1,4,3]=>[3,4,1,5,2]=>1
[2,4,5,3,1]=>[1,3,5,4,2]=>[1,5,2,4,3]=>[3,4,2,5,1]=>0
[2,5,1,3,4]=>[4,3,1,5,2]=>[3,5,2,1,4]=>[4,1,2,5,3]=>2
[2,5,1,4,3]=>[3,4,1,5,2]=>[3,5,1,2,4]=>[4,2,1,5,3]=>2
[2,5,3,1,4]=>[4,1,3,5,2]=>[2,5,3,1,4]=>[4,1,3,5,2]=>2
[2,5,3,4,1]=>[1,4,3,5,2]=>[1,5,3,2,4]=>[4,2,3,5,1]=>0
[2,5,4,1,3]=>[3,1,4,5,2]=>[2,5,1,3,4]=>[4,3,1,5,2]=>1
[2,5,4,3,1]=>[1,3,4,5,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>0
[3,1,2,4,5]=>[5,4,2,1,3]=>[4,3,5,2,1]=>[1,2,5,3,4]=>4
[3,1,2,5,4]=>[4,5,2,1,3]=>[4,3,5,1,2]=>[2,1,5,3,4]=>4
[3,1,4,2,5]=>[5,2,4,1,3]=>[4,2,5,3,1]=>[1,3,5,2,4]=>4
[3,1,4,5,2]=>[2,5,4,1,3]=>[4,1,5,3,2]=>[2,3,5,1,4]=>2
[3,1,5,2,4]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[3,1,5,2,4]=>3
[3,1,5,4,2]=>[2,4,5,1,3]=>[4,1,5,2,3]=>[3,2,5,1,4]=>2
[3,2,1,4,5]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[1,2,5,4,3]=>6
[3,2,1,5,4]=>[4,5,1,2,3]=>[3,4,5,1,2]=>[2,1,5,4,3]=>6
[3,2,4,1,5]=>[5,1,4,2,3]=>[2,4,5,3,1]=>[1,3,5,4,2]=>5
[3,2,4,5,1]=>[1,5,4,2,3]=>[1,4,5,3,2]=>[2,3,5,4,1]=>2
[3,2,5,1,4]=>[4,1,5,2,3]=>[2,4,5,1,3]=>[3,1,5,4,2]=>4
[3,2,5,4,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>[3,2,5,4,1]=>2
[3,4,1,2,5]=>[5,2,1,4,3]=>[3,2,5,4,1]=>[1,4,5,2,3]=>4
[3,4,1,5,2]=>[2,5,1,4,3]=>[3,1,5,4,2]=>[2,4,5,1,3]=>2
[3,4,2,1,5]=>[5,1,2,4,3]=>[2,3,5,4,1]=>[1,4,5,3,2]=>5
[3,4,2,5,1]=>[1,5,2,4,3]=>[1,3,5,4,2]=>[2,4,5,3,1]=>2
[3,4,5,1,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[3,4,5,1,2]=>0
[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>0
[3,5,1,2,4]=>[4,2,1,5,3]=>[3,2,5,1,4]=>[4,1,5,2,3]=>2
[3,5,1,4,2]=>[2,4,1,5,3]=>[3,1,5,2,4]=>[4,2,5,1,3]=>1
[3,5,2,1,4]=>[4,1,2,5,3]=>[2,3,5,1,4]=>[4,1,5,3,2]=>3
[3,5,2,4,1]=>[1,4,2,5,3]=>[1,3,5,2,4]=>[4,2,5,3,1]=>1
[3,5,4,1,2]=>[2,1,4,5,3]=>[2,1,5,3,4]=>[4,3,5,1,2]=>0
[3,5,4,2,1]=>[1,2,4,5,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>0
[4,1,2,3,5]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[1,5,2,3,4]=>3
[4,1,2,5,3]=>[3,5,2,1,4]=>[4,3,1,5,2]=>[2,5,1,3,4]=>2
[4,1,3,2,5]=>[5,2,3,1,4]=>[4,2,3,5,1]=>[1,5,3,2,4]=>4
[4,1,3,5,2]=>[2,5,3,1,4]=>[4,1,3,5,2]=>[2,5,3,1,4]=>2
[4,1,5,2,3]=>[3,2,5,1,4]=>[4,2,1,5,3]=>[3,5,1,2,4]=>1
[4,1,5,3,2]=>[2,3,5,1,4]=>[4,1,2,5,3]=>[3,5,2,1,4]=>1
[4,2,1,3,5]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[1,5,2,4,3]=>5
[4,2,1,5,3]=>[3,5,1,2,4]=>[3,4,1,5,2]=>[2,5,1,4,3]=>4
[4,2,3,1,5]=>[5,1,3,2,4]=>[2,4,3,5,1]=>[1,5,3,4,2]=>5
[4,2,3,5,1]=>[1,5,3,2,4]=>[1,4,3,5,2]=>[2,5,3,4,1]=>2
[4,2,5,1,3]=>[3,1,5,2,4]=>[2,4,1,5,3]=>[3,5,1,4,2]=>2
[4,2,5,3,1]=>[1,3,5,2,4]=>[1,4,2,5,3]=>[3,5,2,4,1]=>1
[4,3,1,2,5]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[1,5,4,2,3]=>5
[4,3,1,5,2]=>[2,5,1,3,4]=>[3,1,4,5,2]=>[2,5,4,1,3]=>3
[4,3,2,1,5]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[1,5,4,3,2]=>6
[4,3,2,5,1]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[2,5,4,3,1]=>3
[4,3,5,1,2]=>[2,1,5,3,4]=>[2,1,4,5,3]=>[3,5,4,1,2]=>1
[4,3,5,2,1]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[3,5,4,2,1]=>1
[4,5,1,2,3]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[4,5,1,2,3]=>0
[4,5,1,3,2]=>[2,3,1,5,4]=>[3,1,2,5,4]=>[4,5,2,1,3]=>0
[4,5,2,1,3]=>[3,1,2,5,4]=>[2,3,1,5,4]=>[4,5,1,3,2]=>1
[4,5,2,3,1]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[4,5,2,3,1]=>0
[4,5,3,1,2]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[4,5,3,1,2]=>0
[4,5,3,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>0
[5,1,2,3,4]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>0
[5,1,2,4,3]=>[3,4,2,1,5]=>[4,3,1,2,5]=>[5,2,1,3,4]=>0
[5,1,3,2,4]=>[4,2,3,1,5]=>[4,2,3,1,5]=>[5,1,3,2,4]=>1
[5,1,3,4,2]=>[2,4,3,1,5]=>[4,1,3,2,5]=>[5,2,3,1,4]=>0
[5,1,4,2,3]=>[3,2,4,1,5]=>[4,2,1,3,5]=>[5,3,1,2,4]=>0
[5,1,4,3,2]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[5,3,2,1,4]=>0
[5,2,1,3,4]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[5,1,2,4,3]=>2
[5,2,1,4,3]=>[3,4,1,2,5]=>[3,4,1,2,5]=>[5,2,1,4,3]=>2
[5,2,3,1,4]=>[4,1,3,2,5]=>[2,4,3,1,5]=>[5,1,3,4,2]=>2
[5,2,3,4,1]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>0
[5,2,4,1,3]=>[3,1,4,2,5]=>[2,4,1,3,5]=>[5,3,1,4,2]=>1
[5,2,4,3,1]=>[1,3,4,2,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>0
[5,3,1,2,4]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[5,1,4,2,3]=>2
[5,3,1,4,2]=>[2,4,1,3,5]=>[3,1,4,2,5]=>[5,2,4,1,3]=>1
[5,3,2,1,4]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[5,1,4,3,2]=>3
[5,3,2,4,1]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[5,2,4,3,1]=>1
[5,3,4,1,2]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[5,3,4,1,2]=>0
[5,3,4,2,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>0
[5,4,1,2,3]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[5,4,1,2,3]=>0
[5,4,1,3,2]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[5,4,2,1,3]=>0
[5,4,2,1,3]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[5,4,1,3,2]=>1
[5,4,2,3,1]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>0
[5,4,3,1,2]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[5,4,3,1,2]=>0
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>0
[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>0
[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>1
[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>0
[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>0
[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>0
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>2
[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>2
[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>2
[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>0
[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>1
[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>0
[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>2
[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>1
[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>3
[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>1
[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>0
[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>0
[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>0
[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>0
[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>1
[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>0
[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>0
[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>0
[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>3
[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>3
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>4
[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>3
[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>3
[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>3
[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>4
[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>4
[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>3
[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>0
[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>2
[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>0
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>4
[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>3
[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>4
[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>1
[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>1
[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>0
[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>2
[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>2
[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>2
[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>0
[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>1
[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>0
[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>4
[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>4
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>4
[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>2
[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>3
[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>2
[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>6
[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>6
[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>5
[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>2
[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>4
[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>2
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>4
[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>2
[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>5
[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>2
[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>0
[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>0
[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>2
[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>1
[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>3
[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>1
[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>0
[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>0
[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>3
[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>2
[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>4
[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>2
[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>1
[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>1
[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>5
[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>4
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>5
[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>2
[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>2
[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>1
[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>5
[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>3
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>6
[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>3
[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>1
[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>1
[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>0
[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>0
[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>1
[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>0
[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>0
[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>0
[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>0
[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>0
[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>1
[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>0
[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>0
[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>0
[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>2
[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>2
[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>2
[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>0
[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>1
[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>0
[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>2
[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>1
[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>3
[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>1
[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>0
[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>0
[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>0
[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>0
[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>1
[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>0
[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>0
[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>0
[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>4
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>4
[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>5
[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>4
[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>4
[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>4
[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>6
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>6
[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>6
[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>4
[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>5
[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>4
[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>6
[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>5
[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>7
[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>5
[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>4
[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>4
[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>4
[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>4
[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>5
[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>4
[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>4
[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>4
[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>6
[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>6
[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>7
[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>6
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>6
[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>6
[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>6
[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>6
[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>4
[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>0
[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>3
[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>0
[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>6
[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>5
[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>5
[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>1
[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>2
[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>0
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>4
[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>4
[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>3
[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>0
[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>2
[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>0
[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>7
[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>7
[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>7
[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>5
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>6
[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>5
[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>8
[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>8
[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>6
[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>2
[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>5
[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>2
[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>6
[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>4
[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>6
[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>2
[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>1
[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>0
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>4
[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>3
[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>4
[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>1
[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>1
[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>0
[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>6
[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>5
[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>7
[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>5
[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>4
[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>4
[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>7
[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>6
[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>6
[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>2
[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>3
[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>1
[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>7
[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>5
[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>7
[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>3
[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>2
[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>1
[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>2
[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>2
[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>2
[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>0
[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>1
[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>0
[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>3
[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>3
[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>4
[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>3
[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>3
[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>3
[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>4
[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>4
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>3
[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>0
[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>2
[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>0
[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>4
[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>3
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>4
[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>1
[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>1
[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>0
[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>2
[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>2
[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>2
[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>0
[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>1
[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>0
[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>6
[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>6
[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>7
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>6
[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>6
[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>6
[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>7
[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>7
[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>6
[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>3
[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>5
[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>3
[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>7
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>6
[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>7
[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>4
[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>4
[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>3
[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>5
[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>5
[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>5
[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>3
[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>4
[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>3
[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>9
[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>9
[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>10
[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>9
[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>9
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>9
[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>9
[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>9
[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>7
[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>3
[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>6
[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>3
[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>9
[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>8
[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>8
[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>4
[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>5
[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>3
[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>7
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>7
[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>6
[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>3
[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>5
[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>3
[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>8
[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>8
[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>7
[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>4
[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>6
[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>4
[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>10
[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>10
[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>8
[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>4
[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>7
[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>4
[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>6
[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>3
[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>7
[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>3
[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>0
[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>0
[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>4
[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>2
[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>5
[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>2
[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>0
[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>0
[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>7
[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>6
[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>7
[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>4
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>4
[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>3
[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>9
[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>8
[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>8
[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>4
[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>5
[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>3
[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>7
[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>4
[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>8
[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>4
[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>1
[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>1
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>2
[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>1
[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>3
[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>1
[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>0
[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>0
[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>4
[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>4
[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>4
[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>2
[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>3
[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>2
[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>6
[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>6
[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>5
[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>2
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>4
[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>2
[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>4
[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>2
[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>5
[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>2
[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>0
[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>0
[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>2
[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>1
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>3
[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>1
[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>0
[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>0
[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>6
[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>6
[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>6
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>4
[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>5
[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>4
[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>8
[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>8
[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>7
[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>4
[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>6
[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>4
[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>6
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>4
[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>7
[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>4
[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>2
[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>2
[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>4
[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>3
[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>5
[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>3
[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>2
[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>2
[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>9
[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>9
[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>9
[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>7
[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>8
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>7
[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>10
[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>10
[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>8
[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>4
[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>7
[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>4
[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>8
[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>6
[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>8
[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>4
[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>3
[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>2
[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>6
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>5
[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>6
[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>3
[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>3
[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>2
[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>10
[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>10
[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>9
[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>6
[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>8
[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>6
[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>12
[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>12
[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>10
[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>6
[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>9
[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>6
[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>8
[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>5
[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>9
[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>5
[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>2
[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>2
[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>6
[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>4
[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>7
[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>4
[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>2
[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>2
[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>6
[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>4
[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>7
[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>4
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>2
[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>2
[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>8
[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>6
[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>8
[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>4
[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>3
[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>2
[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>8
[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>5
[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>9
[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>5
[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>2
[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>2
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>0
[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>0
[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>1
[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>0
[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>0
[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>0
[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>3
[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>2
[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>4
[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>2
[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>1
[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>1
[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>5
[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>4
[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>5
[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>2
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>2
[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>1
[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>5
[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>3
[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>6
[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>3
[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>1
[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>1
[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>0
[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>0
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>1
[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>0
[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>0
[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>0
[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>4
[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>3
[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>5
[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>3
[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>2
[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>2
[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>6
[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>5
[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>6
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>3
[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>3
[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>2
[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>6
[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>4
[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>7
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>4
[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>2
[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>2
[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>1
[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>1
[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>2
[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>1
[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>1
[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>1
[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>7
[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>6
[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>8
[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>6
[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>5
[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>5
[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>8
[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>7
[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>7
[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>3
[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>4
[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>2
[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>8
[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>6
[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>8
[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>4
[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>3
[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>2
[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>3
[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>3
[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>3
[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>1
[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>2
[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>1
[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>8
[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>7
[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>8
[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>5
[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>5
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>4
[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>10
[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>9
[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>9
[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>5
[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>6
[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>4
[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>8
[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>5
[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>9
[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>5
[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>2
[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>2
[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>3
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>2
[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>4
[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>2
[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>1
[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>1
[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>7
[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>5
[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>8
[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>5
[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>3
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>3
[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>9
[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>7
[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>9
[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>5
[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>4
[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>3
[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>9
[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>6
[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>10
[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>6
[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>3
[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>3
[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>1
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>1
[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>2
[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>1
[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>1
[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>1
[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>0
[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>0
[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>1
[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>0
[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>0
[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>0
[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>2
[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>2
[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>2
[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>0
[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>1
[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>0
[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>2
[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>1
[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>3
[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>1
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>0
[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>0
[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>0
[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>0
[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>1
[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>0
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>0
[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>0
[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>0
[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>0
[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>1
[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>0
[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>0
[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>0
[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>2
[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>2
[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>2
[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>0
[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>1
[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>0
[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>2
[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>1
[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>3
[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>1
[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>0
[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>0
[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>0
[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>0
[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>1
[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>0
[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>0
[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>0
[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>3
[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>3
[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>4
[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>3
[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>3
[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>3
[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>4
[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>4
[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>3
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>0
[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>2
[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>0
[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>4
[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>3
[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>4
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>1
[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>1
[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>0
[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>2
[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>2
[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>2
[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>0
[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>1
[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>0
[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>4
[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>4
[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>4
[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>2
[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>3
[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>2
[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>6
[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>6
[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>5
[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>2
[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>4
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>4
[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>2
[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>5
[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>2
[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>0
[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>0
[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>2
[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>1
[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>3
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>1
[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>0
[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>0
[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>3
[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>2
[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>4
[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>2
[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>1
[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>1
[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>5
[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>4
[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>5
[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>2
[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>2
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>1
[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>5
[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>3
[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>6
[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>3
[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>1
[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>1
[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>0
[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>0
[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>1
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>0
[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>0
[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>0
[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>0
[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>0
[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>1
[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>0
[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>0
[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>0
[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>2
[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>2
[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>2
[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>0
[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>1
[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>0
[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>2
[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>1
[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>3
[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>1
[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>0
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>0
[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>0
[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>0
[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>1
[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>0
[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>0
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>0
[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>0
[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>1
[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>0
[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>0
[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>0
[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>0
[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>1
[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>0
[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>0
[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>0
[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>0
[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>1
[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>2
[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>0
[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>0
[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>4
[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>0
[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>3
[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>0
[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>2
[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>0
[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>4
[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>2
[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>0
[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>6
[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>4
[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>2
[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>2
[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>2
[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>0
[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>0
[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>3
[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>0
[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>3
[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>2
[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>1
[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>6
[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>3
[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>1
[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>0
[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>0
[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>0
[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>0
[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>0
[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>0
[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>2
[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>2
[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>0
[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>0
[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>3
[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>1
[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>0
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>0
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>5
[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>5
[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>5
[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>5
[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>5
[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>8
[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>5
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>5
[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>0
[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>0
[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>0
[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>0
[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>0
[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>0
[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>0
[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>0
[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>6
[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>0
[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>0
[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>10
[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>7
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>0
[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>10
[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>6
[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>8
[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>5
[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>11
[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>3
[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>4
[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>0
[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>8
[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>4
[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>7
[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>6
[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>6
[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>0
[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>10
[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>11
[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>10
[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>12
[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>6
[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>3
[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>9
[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>6
[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>10
[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>13
[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>10
[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>13
[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>9
[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>12
[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>4
[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>2
[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>0
[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>10
[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>9
[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>13
[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>6
[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>2
[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>0
[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>8
[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>8
[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>8
[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>8
[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>6
[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>20
[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>17
[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>15
[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>14
[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>8
[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>6
[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>14
[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>0
[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>2
[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>1
[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>0
[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>5
[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>4
[6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]=>[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>11
[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>12
[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>13
[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>13
[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>12
[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>13
[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>15
[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>14
[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>14
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>15
[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>0
[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>0
[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>0
[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>0
[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>0
[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>0
[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>0
[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>0
[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>0
[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>0
[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>0
[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>0
[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>0
[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>0
[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>0
[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>0
[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>0
[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>0
[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>0
[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>0
[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>0
[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>0
[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>0
[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>0
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>0
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>0
[7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>0
[7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]=>[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>2
[7,8,6,4,5,3,2,1]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]=>0
[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>0
[7,6,4,5,8,3,2,1]=>[1,2,3,8,5,4,6,7]=>[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>5
[7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>0
[8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>0
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>0
[6,7,8,3,4,5,2,1]=>[1,2,5,4,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>0
[8,6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6,8]=>[1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]=>5
[6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]=>[1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]=>10
[7,6,5,3,4,8,2,1]=>[1,2,8,4,3,5,6,7]=>[1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]=>9
[7,5,4,3,6,8,2,1]=>[1,2,8,6,3,4,5,7]=>[1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]=>10
[6,3,4,5,7,8,2,1]=>[1,2,8,7,5,4,3,6]=>[1,2,7,6,5,8,4,3]=>[3,4,8,5,6,7,2,1]=>6
[7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>0
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>0
[8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>0
[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>0
[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>2
[6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>0
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>0
[8,7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7,8]=>[1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]=>5
[8,5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5,8]=>[1,3,4,6,7,5,2,8]=>[8,2,5,7,6,4,3,1]=>9
[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]=>9
[8,6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6,8]=>[1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]=>9
[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]=>14
[7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]=>[1,3,4,6,7,5,8,2]=>[2,8,5,7,6,4,3,1]=>14
[7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]=>[1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]=>14
[4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]=>[1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]=>12
[6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]=>[1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]=>14
[5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]=>[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>9
[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>0
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>0
[8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>0
[8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>0
[8,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>0
[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>0
[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>0
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>0
[6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]=>[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>2
[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>0
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>0
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>0
[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>2
[8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8]=>[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>4
[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>0
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>0
[8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>0
[8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>0
[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>0
[8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>0
[7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7]=>[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>0
[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>6
[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>4
[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>2
[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>4
[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>4
[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>0
[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>0
[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>0
[8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>0
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>0
[8,7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7,8]=>[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>5
[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>0
[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>0
[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>0
[8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8]=>[2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>9
[8,7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7,8]=>[2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]=>9
[7,8,5,4,1,2,3,6]=>[6,3,2,1,4,5,8,7]=>[4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]=>7
[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]=>[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>10
[7,8,5,2,3,1,4,6]=>[6,4,1,3,2,5,8,7]=>[3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]=>8
[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>0
[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>0
[8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]=>[2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>14
[8,6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6,8]=>[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>14
[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>14
[8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]=>[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>12
[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>14
[8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]=>[3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>14
[8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]=>[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>14
[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]=>[5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]=>12
[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>0
[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>21
[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>20
[7,5,6,4,3,2,1,8]=>[8,1,2,3,4,6,5,7]=>[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>20
[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>20
[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>18
[7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7]=>[2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>20
[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]=>21
[7,5,6,3,4,2,1,8]=>[8,1,2,4,3,6,5,7]=>[2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]=>19
[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]=>20
[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]=>18
[7,5,4,3,6,2,1,8]=>[8,1,2,6,3,4,5,7]=>[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>21
[6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]=>[2,4,3,5,6,8,7,1]=>[1,7,8,6,5,3,4,2]=>19
[6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]=>[2,4,5,3,7,8,6,1]=>[1,6,8,7,3,5,4,2]=>19
[5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]=>[2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>15
[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>20
[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>20
[6,4,5,3,7,1,2,8]=>[8,2,1,7,3,5,4,6]=>[3,2,5,7,6,8,4,1]=>[1,4,8,6,7,5,2,3]=>20
[5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]=>[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>12
[6,7,1,2,3,4,5,8]=>[8,5,4,3,2,1,7,6]=>[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>10
[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>20
[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>14
[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>14
[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>6
[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>24
[6,5,2,3,4,1,7,8]=>[8,7,1,4,3,2,5,6]=>[3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3]=>24
[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>[5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]=>24
[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>12
[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>20
[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>12
[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>10
[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>6
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>0
[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>0
[6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>2
[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>0
[4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]=>[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]=>0
[4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>6
[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]=>[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>0
[2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]=>[1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]=>0
[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]=>[1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]=>0
[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>0
[2,4,6,5,8,7,3,1]=>[1,3,7,8,5,6,4,2]=>[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]=>2
[2,4,3,6,8,7,5,1]=>[1,5,7,8,6,3,4,2]=>[1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]=>4
[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]=>[1,8,7,6,2,5,4,3]=>[3,4,5,2,6,7,8,1]=>0
[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]=>0
[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]=>0
[2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]=>[1,8,4,7,5,6,2,3]=>[3,2,6,5,7,4,8,1]=>8
[3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>11
[2,4,3,6,5,8,7,1]=>[1,7,8,5,6,3,4,2]=>[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]=>6
[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]=>0
[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>0
[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]=>[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]=>0
[1,6,8,7,5,4,3,2]=>[2,3,4,5,7,8,6,1]=>[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]=>0
[1,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,1]=>[8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]=>1
[1,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,1]=>[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]=>0
[1,5,8,7,6,4,3,2]=>[2,3,4,6,7,8,5,1]=>[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]=>0
[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>3
[1,4,3,8,7,6,5,2]=>[2,5,6,7,8,3,4,1]=>[8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]=>4
[1,6,5,4,3,8,7,2]=>[2,7,8,3,4,5,6,1]=>[8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]=>12
[1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]=>[8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]=>6
[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]=>[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]=>0
[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>6
[2,1,4,6,8,7,5,3]=>[3,5,7,8,6,4,1,2]=>[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]=>6
[2,1,4,6,5,8,7,3]=>[3,7,8,5,6,4,1,2]=>[7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]=>8
[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]=>6
[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>0
[1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]=>[8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8]=>0
[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>15
[3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]=>[6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]=>17
[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>0
[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]=>0
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>24
[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>20
[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>[5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]=>16
[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>17
[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>17
[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>[5,7,8,6,1,3,4,2]=>[2,4,3,1,6,8,7,5]=>18
[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>12
[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>10
[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>[7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]=>10
[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>[7,8,5,6,1,3,4,2]=>[2,4,3,1,6,5,8,7]=>11
[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>0
[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>30
[3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]=>[4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]=>20
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>15
[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>10
[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>0
[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>30
[2,4,6,5,3,1,8,7]=>[7,8,1,3,5,6,4,2]=>[3,8,4,7,5,6,1,2]=>[2,1,6,5,7,4,8,3]=>18
[2,4,3,6,5,1,8,7]=>[7,8,1,5,6,3,4,2]=>[3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]=>16
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>18
[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>[7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]=>14
[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>[7,8,3,5,6,4,1,2]=>[2,1,4,6,5,3,8,7]=>15
[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>26
[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>[5,8,6,7,3,4,1,2]=>[2,1,4,3,7,6,8,5]=>18
[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>[5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]=>19
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>12
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>6
[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>0
[5,7,6,4,3,2,1,8]=>[8,1,2,3,4,6,7,5]=>[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>19
[4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>[2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]=>18
[3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>[2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]=>17
[5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>[2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]=>25
[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>[2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]=>15
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>15
[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>10
[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>9
[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>4
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>6
[1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>1
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>6
[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>8
[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>3
[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>5
[1,8,4,7,6,5,3,2]=>[2,3,5,6,7,4,8,1]=>[8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]=>0
[1,8,5,4,7,6,3,2]=>[2,3,6,7,4,5,8,1]=>[8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]=>2
[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]=>0
[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]=>0
[1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]=>[8,1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1,8]=>3
[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[8,1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1,8]=>1
[1,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,1]=>[8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]=>0
[2,1,6,4,5,7,8,3]=>[3,8,7,5,4,6,1,2]=>[7,8,1,5,4,6,3,2]=>[2,3,6,4,5,1,8,7]=>10
[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]=>8
[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>[1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]=>0
[2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]=>[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]=>0
[2,5,3,4,8,7,6,1]=>[1,6,7,8,4,3,5,2]=>[1,8,6,5,7,2,3,4]=>[4,3,2,7,5,6,8,1]=>6
[2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]=>[1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]=>6
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>20
[4,2,3,5,6,1,8,7]=>[7,8,1,6,5,3,2,4]=>[3,7,6,8,5,4,1,2]=>[2,1,4,5,8,6,7,3]=>18
[5,3,2,4,8,7,6,1]=>[1,6,7,8,4,2,3,5]=>[1,6,7,5,8,2,3,4]=>[4,3,2,8,5,7,6,1]=>13
[7,3,2,4,6,5,8,1]=>[1,8,5,6,4,2,3,7]=>[1,6,7,5,3,4,8,2]=>[2,8,4,3,5,7,6,1]=>10
[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]=>24
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>6
[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>4
[7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]=>[2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]=>18
[7,4,3,6,5,2,1,8]=>[8,1,2,5,6,3,4,7]=>[2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]=>19
[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[2,3,6,4,5,7,8,1]=>[1,8,7,5,4,6,3,2]=>19
[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>12
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>2
[2,4,1,3,6,5,8,7]=>[7,8,5,6,3,1,4,2]=>[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]=>15
[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>13
[2,4,1,6,3,5,8,7]=>[7,8,5,3,6,1,4,2]=>[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]=>16
[2,4,6,1,3,5,8,7]=>[7,8,5,3,1,6,4,2]=>[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>16
[2,1,4,3,6,8,5,7]=>[7,5,8,6,3,4,1,2]=>[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]=>11
[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>14
[2,1,4,6,3,8,5,7]=>[7,5,8,3,6,4,1,2]=>[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]=>12
[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>15
[2,4,6,1,3,8,5,7]=>[7,5,8,3,1,6,4,2]=>[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>15
[2,1,4,6,8,3,5,7]=>[7,5,3,8,6,4,1,2]=>[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>10
[2,4,1,6,8,3,5,7]=>[7,5,3,8,6,1,4,2]=>[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]=>13
[2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]=>[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>13
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>10
[2,4,6,1,7,3,8,5]=>[5,8,3,7,1,6,4,2]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>13
[2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>14
[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]=>10
[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]=>[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>10
[2,4,5,1,3,8,6,7]=>[7,6,8,3,1,5,4,2]=>[5,8,4,7,6,2,1,3]=>[3,1,2,6,7,4,8,5]=>16
[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>6
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>14
[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>14
[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>[7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]=>10
[2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]=>[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>10
[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>10
[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]=>6
[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>12
[2,3,6,1,4,5,8,7]=>[7,8,5,4,1,6,3,2]=>[5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]=>14
[2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]=>[6,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,6]=>13
[2,7,8,1,3,4,5,6]=>[6,5,4,3,1,8,7,2]=>[5,8,4,3,2,1,7,6]=>[6,7,1,2,3,4,8,5]=>4
[2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]=>[6,8,5,4,3,2,7,1]=>[1,7,2,3,4,5,8,6]=>10
[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]=>[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]=>6
[2,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,2]=>[6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>5
[2,1,3,8,4,5,6,7]=>[7,6,5,4,8,3,1,2]=>[7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]=>6
[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>[6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]=>18
[3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]=>[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>14
[3,4,1,6,8,2,5,7]=>[7,5,2,8,6,1,4,3]=>[6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]=>14
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>16
[3,4,5,1,7,2,6,8]=>[8,6,2,7,1,5,4,3]=>[5,3,8,7,6,2,4,1]=>[1,4,2,6,7,8,3,5]=>17
[3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]=>[7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7]=>5
[3,4,1,5,6,7,8,2]=>[2,8,7,6,5,1,4,3]=>[6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6]=>8
[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>[6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]=>18
[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>14
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>14
[3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]=>[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]=>16
[3,5,1,2,7,4,6,8]=>[8,6,4,7,2,1,5,3]=>[6,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,6]=>18
[3,1,5,7,2,4,6,8]=>[8,6,4,2,7,5,1,3]=>[7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]=>15
[3,5,1,7,2,4,6,8]=>[8,6,4,2,7,1,5,3]=>[6,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,6]=>17
[3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3]=>[5,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,5]=>16
[3,1,5,2,4,7,6,8]=>[8,6,7,4,2,5,1,3]=>[7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]=>16
[3,5,1,2,4,7,6,8]=>[8,6,7,4,2,1,5,3]=>[6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]=>18
[3,1,2,5,4,7,6,8]=>[8,6,7,4,5,2,1,3]=>[7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]=>14
[1,3,5,2,4,7,6,8]=>[8,6,7,4,2,5,3,1]=>[8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]=>11
[3,1,2,5,7,4,6,8]=>[8,6,4,7,5,2,1,3]=>[7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]=>14
[1,3,2,5,7,4,6,8]=>[8,6,4,7,5,2,3,1]=>[8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]=>9
[1,3,5,2,7,4,6,8]=>[8,6,4,7,2,5,3,1]=>[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>11
[1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>10
[3,1,5,2,4,6,7,8]=>[8,7,6,4,2,5,1,3]=>[7,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,7]=>15
[3,5,1,2,4,6,7,8]=>[8,7,6,4,2,1,5,3]=>[6,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,6]=>17
[3,1,2,5,4,6,7,8]=>[8,7,6,4,5,2,1,3]=>[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]=>13
[1,3,5,2,4,6,7,8]=>[8,7,6,4,2,5,3,1]=>[8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]=>10
[1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>10
[3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>10
[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>[6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]=>8
[3,1,7,2,4,5,6,8]=>[8,6,5,4,2,7,1,3]=>[7,5,8,4,3,2,6,1]=>[1,6,2,3,4,8,5,7]=>13
[3,7,1,2,4,5,6,8]=>[8,6,5,4,2,1,7,3]=>[6,5,8,4,3,2,7,1]=>[1,7,2,3,4,8,5,6]=>13
[3,1,2,7,4,5,6,8]=>[8,6,5,4,7,2,1,3]=>[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]=>13
[1,3,2,7,4,5,6,8]=>[8,6,5,4,7,2,3,1]=>[8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]=>8
[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>[8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8]=>8
[3,1,2,4,7,5,6,8]=>[8,6,5,7,4,2,1,3]=>[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]=>12
[1,3,2,4,7,5,6,8]=>[8,6,5,7,4,2,3,1]=>[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>7
[3,1,2,4,5,7,6,8]=>[8,6,7,5,4,2,1,3]=>[7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]=>11
[3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3]=>[6,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,6]=>8
[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>10
[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>[5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]=>18
[4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]=>[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>10
[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>[5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]=>12
[4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]=>[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>10
[1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>8
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>6
[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]=>[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>14
[4,7,1,2,3,5,6,8]=>[8,6,5,3,2,1,7,4]=>[6,5,4,8,3,2,7,1]=>[1,7,2,3,8,4,5,6]=>14
[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>10
[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>12
[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>10
[5,6,1,2,7,3,8,4]=>[4,8,3,7,2,1,6,5]=>[6,5,3,1,8,7,4,2]=>[2,4,7,8,1,3,5,6]=>11
[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]=>9
[5,6,1,7,2,3,8,4]=>[4,8,3,2,7,1,6,5]=>[6,4,3,1,8,7,5,2]=>[2,5,7,8,1,3,4,6]=>10
[5,6,7,1,2,3,8,4]=>[4,8,3,2,1,7,6,5]=>[5,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,5]=>9
[5,1,6,2,7,8,3,4]=>[4,3,8,7,2,6,1,5]=>[7,5,2,1,8,6,4,3]=>[3,4,6,8,1,2,5,7]=>7
[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>8
[5,1,6,7,2,8,3,4]=>[4,3,8,2,7,6,1,5]=>[7,4,2,1,8,6,5,3]=>[3,5,6,8,1,2,4,7]=>6
[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>7
[5,6,7,1,2,8,3,4]=>[4,3,8,2,1,7,6,5]=>[5,4,2,1,8,7,6,3]=>[3,6,7,8,1,2,4,5]=>6
[5,1,6,7,8,2,3,4]=>[4,3,2,8,7,6,1,5]=>[7,3,2,1,8,6,5,4]=>[4,5,6,8,1,2,3,7]=>3
[5,6,1,7,8,2,3,4]=>[4,3,2,8,7,1,6,5]=>[6,3,2,1,8,7,5,4]=>[4,5,7,8,1,2,3,6]=>4
[5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]=>[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>3
[5,1,2,6,3,7,4,8]=>[8,4,7,3,6,2,1,5]=>[7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7]=>13
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>8
[5,1,7,2,3,4,6,8]=>[8,6,4,3,2,7,1,5]=>[7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7]=>13
[5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]=>[6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]=>13
[5,1,2,7,3,4,6,8]=>[8,6,4,3,7,2,1,5]=>[7,6,4,3,8,2,5,1]=>[1,5,2,8,3,4,6,7]=>13
[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>10
[1,5,7,2,3,4,6,8]=>[8,6,4,3,2,7,5,1]=>[8,5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5,8]=>10
[5,1,2,3,7,4,6,8]=>[8,6,4,7,3,2,1,5]=>[7,6,5,3,8,2,4,1]=>[1,4,2,8,3,5,6,7]=>13
[1,5,2,3,7,4,6,8]=>[8,6,4,7,3,2,5,1]=>[8,6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6,8]=>10
[1,2,5,3,7,4,6,8]=>[8,6,4,7,3,5,2,1]=>[8,7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7,8]=>7
[1,2,5,7,3,4,6,8]=>[8,6,4,3,7,5,2,1]=>[8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]=>7
[5,1,2,3,4,7,6,8]=>[8,6,7,4,3,2,1,5]=>[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>13
[1,5,2,3,4,7,6,8]=>[8,6,7,4,3,2,5,1]=>[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>10
[1,2,5,3,4,7,6,8]=>[8,6,7,4,3,5,2,1]=>[8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]=>7
[1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]=>[8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]=>4
[5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]=>[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>10
[1,5,8,2,3,4,6,7]=>[7,6,4,3,2,8,5,1]=>[8,5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5,8]=>6
[5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5]=>[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>12
[1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1]=>[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]=>9
[1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]=>[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]=>6
[1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1]=>[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]=>0
[6,7,1,2,3,4,8,5]=>[5,8,4,3,2,1,7,6]=>[6,5,4,3,1,8,7,2]=>[2,7,8,1,3,4,5,6]=>8
[1,2,6,7,8,3,4,5]=>[5,4,3,8,7,6,2,1]=>[8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8]=>0
[6,1,7,2,3,4,5,8]=>[8,5,4,3,2,7,1,6]=>[7,5,4,3,2,8,6,1]=>[1,6,8,2,3,4,5,7]=>10
[6,1,2,7,3,4,5,8]=>[8,5,4,3,7,2,1,6]=>[7,6,4,3,2,8,5,1]=>[1,5,8,2,3,4,6,7]=>10
[1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>8
[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>6
[1,6,8,2,3,4,5,7]=>[7,5,4,3,2,8,6,1]=>[8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]=>4
[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]=>[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>10
[1,7,2,8,3,4,5,6]=>[6,5,4,3,8,2,7,1]=>[8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]=>1
[1,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,1]=>[8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]=>0
[1,7,2,3,8,4,5,6]=>[6,5,4,8,3,2,7,1]=>[8,6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6,8]=>2
[7,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,7]=>[7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7]=>5
[1,7,2,3,4,5,8,6]=>[6,8,5,4,3,2,7,1]=>[8,6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6,8]=>4
[1,2,7,3,4,5,8,6]=>[6,8,5,4,3,7,2,1]=>[8,7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7,8]=>3
[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]=>0
[1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>5
[1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]=>[8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]=>4
[1,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,1]=>[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]=>3
[1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]=>[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>2
[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>0
[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]=>0
[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>0
[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]=>24
[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]=>14
[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>8
[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]=>16
[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]=>26
[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]=>24
[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]=>20
[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]=>22
[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]=>26
[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>20
[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>6
[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]=>12
[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]=>10
[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]=>18
[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]=>14
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>12
[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]=>12
[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]=>6
[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]=>8
[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]=>12
[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>6
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>2
[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]=>2
[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]=>0
[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]=>4
[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]=>4
[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]=>6
[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[7,8,2,3,1,5,6,4]=>[4,6,5,1,3,2,8,7]=>8
[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]=>8
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>8
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>2
[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]=>18
[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]=>10
[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]=>10
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>4
[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]=>4
[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]=>10
[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]=>12
[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]=>20
[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]=>24
[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]=>16
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>18
[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]=>12
[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>8
[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>2
[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>4
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>8
[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]=>14
[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]=>8
[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]=>12
[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>8
[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]=>6
[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>8
[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]=>4
[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>0
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>4
[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]=>2
[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>0
[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]=>0
[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[5,2,1,8,3,4,7,6]=>[6,7,4,3,8,1,2,5]=>2
[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]=>6
[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]=>6
[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>4
[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]=>2
[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>0
[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>0
[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>20
[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>[7,8,9,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,9,8,7]=>42
[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[5,6,7,8,9,10,3,4,1,2]=>[2,1,4,3,10,9,8,7,6,5]=>62
[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>[7,8,9,10,3,4,5,6,1,2]=>[2,1,6,5,4,3,10,9,8,7]=>48
[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[9,10,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,10,9]=>38
[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]=>56
[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>0
[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[5,6,7,8,9,10,1,2,3,4]=>[4,3,2,1,10,9,8,7,6,5]=>60
[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]=>36
[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>8
[3,10,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,10,3]=>[8,1,10,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,10,1,8]=>6
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>0
[5,3,7,1,2,4,6,8]=>[8,6,4,2,1,7,3,5]=>[5,4,7,3,8,2,6,1]=>[1,6,2,8,3,7,4,5]=>19
[7,3,5,1,2,4,6,8]=>[8,6,4,2,1,5,3,7]=>[5,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,5]=>18
[3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]=>[4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]=>11
[7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7]=>[4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]=>13
[7,5,3,6,8,1,2,4]=>[4,2,1,8,6,3,5,7]=>[3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]=>7
[8,4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4,8]=>[3,6,2,7,5,1,4,8]=>[8,4,1,5,7,2,6,3]=>9
[6,5,8,3,7,1,2,4]=>[4,2,1,7,3,8,5,6]=>[3,2,5,1,7,8,4,6]=>[6,4,8,7,1,5,2,3]=>6
[7,4,8,2,5,1,3,6]=>[6,3,1,5,2,8,4,7]=>[3,5,2,7,4,1,8,6]=>[6,8,1,4,7,2,5,3]=>9
[8,5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5,8]=>[3,5,2,4,7,1,6,8]=>[8,6,1,7,4,2,5,3]=>8
[5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]=>[3,5,6,7,8,2,1,4]=>[4,1,2,8,7,6,5,3]=>26
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>10
[8,7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7,8]=>[2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>2
[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]=>[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>0
[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]=>[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>0
[8,1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1,8]=>[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>7
[8,1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1,8]=>[7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]=>6
[8,3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3,8]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>8
[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>10
[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>4
[8,3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3,8]=>[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>8
[2,7,6,5,1,3,8,4]=>[4,8,3,1,5,6,7,2]=>[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>12
[8,3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3,8]=>[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>6
[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>0
[8,1,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,1,9,2]=>[2,9,1,3,4,5,6,7,8]=>6
[9,1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1,9]=>[8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8]=>0
[3,1,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,1,3]=>[8,1,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,1,8]=>6
[2,9,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,9,2]=>[7,9,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,7]=>6
[8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>0
[9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9]=>[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]=>0
[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>0
[]=>[]=>[]=>[]=>0
[4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]=>[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>4
[3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]=>[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>16
[4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]=>[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>7
[5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>2
[6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>2
[3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]=>[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>4
[2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]=>[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>10
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>12
[1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>12
[2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]=>[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>10
[3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]=>[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>4
[4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]=>[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>6
[5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]=>[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>9
[6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]=>[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>5
[6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]=>[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>4
[5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]=>[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>6
[4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]=>[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>4
[3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]=>[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>15
[4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]=>[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>9
[5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]=>[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>11
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>9
[7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]=>[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>4
[7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]=>[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>4
[6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]=>[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>10
[5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]=>[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>12
[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>17
[5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]=>[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>13
[6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>10
[7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]=>[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>4
[7,8,2,3,1,5,6,4]=>[4,6,5,1,3,2,8,7]=>[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>6
[6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]=>[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>11
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>14
[6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]=>[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>13
[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]=>[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>9
[7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]=>[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>5
[5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]=>[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>13
[4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]=>[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>10
[2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]=>[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>13
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>13
[1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]=>[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>12
[2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]=>[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>12
[3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]=>[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>13
[7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>2
[6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>2
[5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]=>[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>13
[6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]=>[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>7
[7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]=>[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>6
[5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]=>[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>16
[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>20
[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>17
[5,2,1,8,3,4,7,6]=>[6,7,4,3,8,1,2,5]=>[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>15
[6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]=>[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>9
[7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]=>[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>4
[6,3,1,5,2,4,8,7]=>[7,8,4,2,5,1,3,6]=>[6,4,7,3,5,8,1,2]=>[2,1,8,5,3,7,4,6]=>21
[2,1,8,5,3,7,4,6]=>[6,4,7,3,5,8,1,2]=>[7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]=>9
[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]=>2
[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8]=>2
[4,5,1,8,7,2,6,3]=>[3,6,2,7,8,1,5,4]=>[6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]=>8
[8,2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2,8]=>[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>9
[7,4,2,5,8,3,1,6]=>[6,1,3,8,5,2,4,7]=>[2,6,3,7,5,1,8,4]=>[4,8,1,5,7,3,6,2]=>12
[4,7,1,5,8,3,2,6]=>[6,2,3,8,5,1,7,4]=>[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>10
[4,5,2,3,7,6,1,8]=>[8,1,6,7,3,2,5,4]=>[2,6,5,8,7,3,4,1]=>[1,4,3,7,8,5,6,2]=>19
[6,4,3,7,2,5,1,8]=>[8,1,5,2,7,3,4,6]=>[2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]=>21
[8,4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4,8]=>[3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]=>12
[1,5,6,3,4,8,7,2]=>[2,7,8,4,3,6,5,1]=>[8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]=>8
[4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]=>[2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]=>17
[3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]=>[2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]=>15
[4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]=>[2,6,3,8,4,5,7,1]=>[1,7,5,4,8,3,6,2]=>17
[5,7,6,2,4,3,1,8]=>[8,1,3,4,2,6,7,5]=>[2,5,3,4,8,6,7,1]=>[1,7,6,8,4,3,5,2]=>17
[1,7,5,4,8,3,6,2]=>[2,6,3,8,4,5,7,1]=>[8,1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1,8]=>6
[8,7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7,8]=>[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>8
[6,8,5,4,2,1,3,7]=>[7,3,1,2,4,5,8,6]=>[3,4,2,5,6,8,1,7]=>[7,1,8,6,5,2,4,3]=>14
[5,8,6,2,4,1,3,7]=>[7,3,1,4,2,6,8,5]=>[3,5,2,4,8,6,1,7]=>[7,1,6,8,4,2,5,3]=>12
[4,8,2,6,5,1,3,7]=>[7,3,1,5,6,2,8,4]=>[3,6,2,8,4,5,1,7]=>[7,1,5,4,8,2,6,3]=>12
[3,2,8,6,5,1,4,7]=>[7,4,1,5,6,8,2,3]=>[3,7,8,2,4,5,1,6]=>[6,1,5,4,2,8,7,3]=>14
[4,1,2,6,5,8,7,3]=>[3,7,8,5,6,2,1,4]=>[7,6,1,8,4,5,2,3]=>[3,2,5,4,8,1,6,7]=>10
[5,1,6,2,4,8,7,3]=>[3,7,8,4,2,6,1,5]=>[7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]=>11
[6,1,5,4,2,8,7,3]=>[3,7,8,2,4,5,1,6]=>[7,4,1,5,6,8,2,3]=>[3,2,8,6,5,1,4,7]=>14
[7,1,5,4,8,2,6,3]=>[3,6,2,8,4,5,1,7]=>[7,3,1,5,6,2,8,4]=>[4,8,2,6,5,1,3,7]=>7
[8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]=>[7,2,1,5,6,3,4,8]=>[8,4,3,6,5,1,2,7]=>2
[1,8,6,7,4,5,3,2]=>[2,3,5,4,7,6,8,1]=>[8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]=>0
[8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]=>[7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]=>0
[7,1,6,8,4,2,5,3]=>[3,5,2,4,8,6,1,7]=>[7,3,1,4,2,6,8,5]=>[5,8,6,2,4,1,3,7]=>3
[6,1,7,8,2,4,5,3]=>[3,5,4,2,8,7,1,6]=>[7,4,1,3,2,8,6,5]=>[5,6,8,2,3,1,4,7]=>2
[5,1,7,2,8,4,6,3]=>[3,6,4,8,2,7,1,5]=>[7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]=>7
[4,1,2,7,8,5,6,3]=>[3,6,5,8,7,2,1,4]=>[7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]=>8
[3,2,1,7,8,5,6,4]=>[4,6,5,8,7,1,2,3]=>[6,7,8,1,3,2,5,4]=>[4,5,2,3,1,8,7,6]=>15
[3,2,8,7,1,5,4,6]=>[6,4,5,1,7,8,2,3]=>[4,7,8,2,3,1,5,6]=>[6,5,1,3,2,8,7,4]=>12
[4,8,2,7,1,5,3,6]=>[6,3,5,1,7,2,8,4]=>[4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]=>10
[5,8,7,2,1,4,3,6]=>[6,3,4,1,2,7,8,5]=>[4,5,2,3,8,1,6,7]=>[7,6,1,8,3,2,5,4]=>8
[6,8,7,1,2,4,3,5]=>[5,3,4,2,1,7,8,6]=>[5,4,2,3,1,8,6,7]=>[7,6,8,1,3,2,4,5]=>1
[7,8,6,1,4,2,3,5]=>[5,3,2,4,1,6,8,7]=>[5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]=>2
[8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>3
[1,7,6,8,4,3,5,2]=>[2,5,3,4,8,6,7,1]=>[8,1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1,8]=>2
[1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1]=>[8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]=>0
[8,6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>2
[7,6,8,1,3,2,4,5]=>[5,4,2,3,1,8,6,7]=>[5,3,4,2,1,7,8,6]=>[6,8,7,1,2,4,3,5]=>3
[5,7,8,2,1,3,4,6]=>[6,4,3,1,2,8,7,5]=>[4,5,3,2,8,1,7,6]=>[6,7,1,8,2,3,5,4]=>7
[4,7,2,8,1,3,5,6]=>[6,5,3,1,8,2,7,4]=>[4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]=>11
[3,2,6,8,4,1,5,7]=>[7,5,1,4,8,6,2,3]=>[3,7,8,4,2,6,1,5]=>[5,1,6,2,4,8,7,3]=>14
[4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]=>[3,6,4,8,2,7,1,5]=>[5,1,7,2,8,4,6,3]=>16
[5,6,8,2,3,1,4,7]=>[7,4,1,3,2,8,6,5]=>[3,5,4,2,8,7,1,6]=>[6,1,7,8,2,4,5,3]=>12
[6,5,8,3,2,1,4,7]=>[7,4,1,2,3,8,5,6]=>[3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]=>16
[7,5,8,3,1,2,4,6]=>[6,4,2,1,3,8,5,7]=>[4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]=>9
[8,5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5,8]=>[4,2,5,3,7,1,6,8]=>[8,6,1,7,3,5,2,4]=>8
[1,5,7,3,8,4,6,2]=>[2,6,4,8,3,7,5,1]=>[8,1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1,8]=>4
[1,4,3,7,8,5,6,2]=>[2,6,5,8,7,3,4,1]=>[8,1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1,8]=>4
[8,4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4,8]=>[4,2,6,7,3,1,5,8]=>[8,5,1,3,7,6,2,4]=>10
[6,4,3,8,2,1,5,7]=>[7,5,1,2,8,3,4,6]=>[3,4,6,7,2,8,1,5]=>[5,1,8,2,7,6,4,3]=>20
[4,5,2,3,8,1,6,7]=>[7,6,1,8,3,2,5,4]=>[3,6,5,8,7,2,1,4]=>[4,1,2,7,8,5,6,3]=>20
[3,2,5,4,8,1,6,7]=>[7,6,1,8,4,5,2,3]=>[3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]=>16
[4,5,2,3,1,8,7,6]=>[6,7,8,1,3,2,5,4]=>[4,6,5,8,7,1,2,3]=>[3,2,1,7,8,5,6,4]=>24
[6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]=>[5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]=>23
[7,4,3,1,8,2,6,5]=>[5,6,2,8,1,3,4,7]=>[5,3,6,7,1,2,8,4]=>[4,8,2,1,7,6,3,5]=>16
[8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]=>[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>11
[1,5,8,3,7,6,4,2]=>[2,4,6,7,3,8,5,1]=>[8,1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1,8]=>2
[8,5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5,8]=>[6,2,5,1,7,3,4,8]=>[8,4,3,7,1,5,2,6]=>5
[7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]=>[6,3,5,1,7,2,8,4]=>[4,8,2,7,1,5,3,6]=>10
[6,5,1,3,2,8,7,4]=>[4,7,8,2,3,1,5,6]=>[6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6]=>17
[5,6,1,2,3,8,7,4]=>[4,7,8,3,2,1,6,5]=>[6,5,4,1,8,7,2,3]=>[3,2,7,8,1,4,5,6]=>12
[4,6,2,1,3,8,7,5]=>[5,7,8,3,1,2,6,4]=>[5,6,4,8,1,7,2,3]=>[3,2,7,1,8,4,6,5]=>19
[3,2,6,1,4,8,7,5]=>[5,7,8,4,1,6,2,3]=>[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>17
[3,2,7,1,8,4,6,5]=>[5,6,4,8,1,7,2,3]=>[5,7,8,3,1,2,6,4]=>[4,6,2,1,3,8,7,5]=>14
[4,7,2,1,8,3,6,5]=>[5,6,3,8,1,2,7,4]=>[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>14
[5,7,1,2,8,3,6,4]=>[4,6,3,8,2,1,7,5]=>[6,5,3,1,8,2,7,4]=>[4,7,2,8,1,3,5,6]=>7
[6,7,1,8,2,3,5,4]=>[4,5,3,2,8,1,7,6]=>[6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]=>2
[7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]=>[6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]=>5
[8,6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6,8]=>[6,2,4,1,3,7,5,8]=>[8,5,7,3,1,4,2,6]=>2
[1,6,8,7,3,5,4,2]=>[2,4,5,3,7,8,6,1]=>[8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]=>0
[1,7,8,6,5,3,4,2]=>[2,4,3,5,6,8,7,1]=>[8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]=>0
[8,7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7,8]=>[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>1
[7,8,1,6,5,2,3,4]=>[4,3,2,5,6,1,8,7]=>[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]=>0
[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>[6,4,2,1,3,8,5,7]=>[7,5,8,3,1,2,4,6]=>1
[5,8,1,2,7,6,3,4]=>[4,3,6,7,2,1,8,5]=>[6,5,2,1,8,3,4,7]=>[7,4,3,8,1,2,5,6]=>4
[4,8,2,1,7,6,3,5]=>[5,3,6,7,1,2,8,4]=>[5,6,2,8,1,3,4,7]=>[7,4,3,1,8,2,6,5]=>11
[3,2,8,1,7,6,4,5]=>[5,4,6,7,1,8,2,3]=>[5,7,8,2,1,3,4,6]=>[6,4,3,1,2,8,7,5]=>13
[4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]=>[7,6,1,8,2,3,4,5]=>[5,4,3,2,8,1,6,7]=>8
[5,1,8,2,7,6,4,3]=>[3,4,6,7,2,8,1,5]=>[7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]=>5
[6,1,8,7,2,5,4,3]=>[3,4,5,2,7,8,1,6]=>[7,4,1,2,3,8,5,6]=>[6,5,8,3,2,1,4,7]=>2
[7,1,8,6,5,2,4,3]=>[3,4,2,5,6,8,1,7]=>[7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]=>1
[8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8]=>[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>0
[8,1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1,8]=>[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>9
[8,7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>2
[8,5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5,8]=>[4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]=>6
[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>[7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]=>0
[5,4,3,2,7,1,8,6]=>[6,8,1,7,2,3,4,5]=>[3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3]=>27
[4,3,6,2,8,7,5,1]=>[1,5,7,8,2,6,3,4]=>[1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]=>12
[5,4,2,3,7,6,1,8]=>[8,1,6,7,3,2,4,5]=>[2,6,5,7,8,3,4,1]=>[1,4,3,8,7,5,6,2]=>22
[5,4,2,3,8,1,6,7]=>[7,6,1,8,3,2,4,5]=>[3,6,5,7,8,2,1,4]=>[4,1,2,8,7,5,6,3]=>23
[6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]=>[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>24
[8,5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5,8]=>[3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]=>7
[8,3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3,8]=>[3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]=>8
[8,7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7,8]=>[3,6,5,4,1,2,7,8]=>[8,7,2,1,4,5,6,3]=>6
[2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]=>[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>8
[8,1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1,8]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>8
[2,4,1,8,7,6,5,3]=>[3,5,6,7,8,1,4,2]=>[6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6]=>9
[8,4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4,8]=>[5,6,2,7,3,1,4,8]=>[8,4,1,3,7,2,6,5]=>12
[8,6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6,8]=>[4,6,1,2,5,7,3,8]=>[8,3,7,5,2,1,6,4]=>7
[8,7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7,8]=>[5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]=>4
[8,4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4,8]=>[6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]=>10
[4,1,2,3,7,6,8,5]=>[5,8,6,7,3,2,1,4]=>[7,6,5,8,1,3,4,2]=>[2,4,3,1,8,5,6,7]=>13
[4,1,2,3,8,6,5,7]=>[7,5,6,8,3,2,1,4]=>[7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]=>13
[4,1,2,3,5,8,7,6]=>[6,7,8,5,3,2,1,4]=>[7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]=>12
[3,7,6,1,4,8,2,5]=>[5,2,8,4,1,6,7,3]=>[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>10
[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>0
[1,7,2,5,3,4,6,8]=>[8,6,4,3,5,2,7,1]=>[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>9
[4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]=>[3,4,6,8,1,7,2,5]=>[5,2,7,1,8,6,4,3]=>17
[6,7,8,1,4,3,2,5]=>[5,2,3,4,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>3
[4,6,3,2,8,7,1,5]=>[5,1,7,8,2,3,6,4]=>[2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]=>16
[2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>30
[2,1,12,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>10
[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>90
[10,9,8,7,6,5,4,3,2,1,12,11]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>90
[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>0
[7,6,2,1,5,8,3,4]=>[4,3,8,5,1,2,6,7]=>[5,6,2,1,4,7,8,3]=>[3,8,7,4,1,2,6,5]=>11
[10,8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8,10]=>[4,3,2,1,7,6,5,9,8,10]=>[10,8,9,5,6,7,1,2,3,4]=>0
[4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]=>[3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]=>0
[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>2
[8,3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3,8]=>[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>9
[8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>0
[3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>[7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>14
[4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>12
[6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]=>[3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3]=>11
[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]=>5
[6,8,5,2,4,3,7,1]=>[1,7,3,4,2,5,8,6]=>[1,5,3,4,6,8,2,7]=>[7,2,8,6,4,3,5,1]=>8
[3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]=>[7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]=>10
[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>0
[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>7
[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]=>0
[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>8
[1,2,3,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,11]=>0
[9,1,2,3,4,5,6,7,10,8]=>[8,10,7,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,3,1,10,2]=>[2,10,1,3,4,5,6,7,8,9]=>7
[1,8,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,8,1]=>[9,7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7,9]=>5
[7,1,2,3,4,5,6,9,8]=>[8,9,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,7,8]=>12
[2,1,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,1,2]=>[8,9,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,9,8]=>7
[2,8,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,8,2]=>[7,9,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,9,7]=>12
[2,10,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,10,2]=>[8,10,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,10,8]=>7
[2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2]=>[10,11,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,11,10]=>9
[8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]=>[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>0
[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>0
[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>0
[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>[8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]=>4
[2,4,1,6,8,7,5,3]=>[3,5,7,8,6,1,4,2]=>[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>9
[5,7,1,3,8,2,6,4]=>[4,6,2,8,3,1,7,5]=>[6,3,5,1,8,2,7,4]=>[4,7,2,8,1,5,3,6]=>9
[2,7,6,5,3,4,8,1]=>[1,8,4,3,5,6,7,2]=>[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>9
[4,8,1,3,7,2,6,5]=>[5,6,2,7,3,1,8,4]=>[6,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,6]=>10
[4,7,5,6,8,3,2,1]=>[1,2,3,8,6,5,7,4]=>[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>2
[8,1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1,8]=>[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>0
[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,2,1]=>[9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9]=>0
[1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1]=>[9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9]=>0
[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>0
[1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1]=>[10,1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1,10]=>0
[3,6,1,8,7,4,2,5]=>[5,2,4,7,8,1,6,3]=>[6,2,8,3,1,7,4,5]=>[5,4,7,1,3,8,2,6]=>8
[1,5,7,3,2,4,6,8]=>[8,6,4,2,3,7,5,1]=>[8,4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4,8]=>13
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>0
[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>28
[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>36
[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>0
[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>0
[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>0
[4,7,3,5,2,1,6,8]=>[8,6,1,2,5,3,7,4]=>[3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]=>22
[4,6,7,1,3,2,5,8]=>[8,5,2,3,1,7,6,4]=>[5,3,4,8,2,7,6,1]=>[1,6,7,2,8,4,3,5]=>16
[2,4,1,6,8,7,3,5]=>[5,3,7,8,6,1,4,2]=>[6,8,2,7,1,5,3,4]=>[4,3,5,1,7,2,8,6]=>10
[2,5,1,6,7,4,8,3]=>[3,8,4,7,6,1,5,2]=>[6,8,1,3,7,5,4,2]=>[2,4,5,7,3,1,8,6]=>11
[3,2,4,1,8,5,6,7]=>[7,6,5,8,1,4,2,3]=>[5,7,8,6,3,2,1,4]=>[4,1,2,3,6,8,7,5]=>17
[4,3,7,2,6,8,1,5]=>[5,1,8,6,2,7,3,4]=>[2,5,7,8,1,4,6,3]=>[3,6,4,1,8,7,5,2]=>15
[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>0
[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[2,3,4,6,5,7,8,9,1]=>[1,9,8,7,5,6,4,3,2]=>27
[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[9,1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1,9]=>0
[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>0
[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>45
[9,8,7,5,6,4,3,2,1,10]=>[10,1,2,3,4,6,5,7,8,9]=>[2,3,4,5,7,6,8,9,10,1]=>[1,10,9,8,6,7,5,4,3,2]=>35
[1,10,9,8,6,7,5,4,3,2]=>[2,3,4,5,7,6,8,9,10,1]=>[10,1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1,10]=>0
[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>0
[6,7,1,4,2,8,3,5]=>[5,3,8,2,4,1,7,6]=>[6,4,2,5,1,8,7,3]=>[3,7,8,1,5,2,4,6]=>9
[3,7,8,1,5,2,4,6]=>[6,4,2,5,1,8,7,3]=>[5,3,8,2,4,1,7,6]=>[6,7,1,4,2,8,3,5]=>7
[4,6,2,8,3,5,1,7]=>[7,1,5,3,8,2,6,4]=>[2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]=>14
[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>0
[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>0
[2,4,6,1,3,8,7,5]=>[5,7,8,3,1,6,4,2]=>[5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]=>14
[2,3,6,1,4,8,7,5]=>[5,7,8,4,1,6,3,2]=>[5,8,7,4,1,6,2,3]=>[3,2,6,1,4,7,8,5]=>12
[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>0
[2,4,3,6,1,5,8,7]=>[7,8,5,1,6,3,4,2]=>[4,8,6,7,3,5,1,2]=>[2,1,5,3,7,6,8,4]=>17
[2,4,3,6,5,8,1,7]=>[7,1,8,5,6,3,4,2]=>[2,8,6,7,4,5,1,3]=>[3,1,5,4,7,6,8,2]=>11
[2,4,6,3,5,8,7,1]=>[1,7,8,5,3,6,4,2]=>[1,8,5,7,4,6,2,3]=>[3,2,6,4,7,5,8,1]=>7
[2,4,6,3,5,8,1,7]=>[7,1,8,5,3,6,4,2]=>[2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2]=>12
[2,4,6,3,5,1,8,7]=>[7,8,1,5,3,6,4,2]=>[3,8,5,7,4,6,1,2]=>[2,1,6,4,7,5,8,3]=>17
[2,4,6,3,1,5,8,7]=>[7,8,5,1,3,6,4,2]=>[4,8,5,7,3,6,1,2]=>[2,1,6,3,7,5,8,4]=>18
[2,4,1,6,5,3,8,7]=>[7,8,3,5,6,1,4,2]=>[6,8,3,7,4,5,1,2]=>[2,1,5,4,7,3,8,6]=>17
[2,4,6,1,5,3,8,7]=>[7,8,3,5,1,6,4,2]=>[5,8,3,7,4,6,1,2]=>[2,1,6,4,7,3,8,5]=>17
[2,4,6,1,5,8,3,7]=>[7,3,8,5,1,6,4,2]=>[5,8,2,7,4,6,1,3]=>[3,1,6,4,7,2,8,5]=>14
[2,4,1,6,5,8,3,7]=>[7,3,8,5,6,1,4,2]=>[6,8,2,7,4,5,1,3]=>[3,1,5,4,7,2,8,6]=>14
[2,1,4,6,5,8,3,7]=>[7,3,8,5,6,4,1,2]=>[7,8,2,6,4,5,1,3]=>[3,1,5,4,6,2,8,7]=>11
[2,4,1,6,5,8,7,3]=>[3,7,8,5,6,1,4,2]=>[6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]=>11
[2,4,6,1,5,8,7,3]=>[3,7,8,5,1,6,4,2]=>[5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]=>11
[4,2,6,5,8,3,7,1]=>[1,7,3,8,5,6,2,4]=>[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>9
[2,4,6,8,1,5,7,3]=>[3,7,5,1,8,6,4,2]=>[4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]=>7
[2,4,6,1,8,5,7,3]=>[3,7,5,8,1,6,4,2]=>[5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]=>10
[2,4,1,6,8,5,7,3]=>[3,7,5,8,6,1,4,2]=>[6,8,1,7,3,5,2,4]=>[4,2,5,3,7,1,8,6]=>10
[2,1,4,6,8,5,7,3]=>[3,7,5,8,6,4,1,2]=>[7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]=>7
[2,1,4,6,8,5,3,7]=>[7,3,5,8,6,4,1,2]=>[7,8,2,6,3,5,1,4]=>[4,1,5,3,6,2,8,7]=>10
[2,4,1,6,8,5,3,7]=>[7,3,5,8,6,1,4,2]=>[6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]=>13
[2,4,6,1,8,5,3,7]=>[7,3,5,8,1,6,4,2]=>[5,8,2,7,3,6,1,4]=>[4,1,6,3,7,2,8,5]=>13
[2,4,6,8,1,5,3,7]=>[7,3,5,1,8,6,4,2]=>[4,8,2,7,3,6,1,5]=>[5,1,6,3,7,2,8,4]=>10
[2,4,6,8,3,5,7,1]=>[1,7,5,3,8,6,4,2]=>[1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]=>4
[2,4,6,8,3,5,1,7]=>[7,1,5,3,8,6,4,2]=>[2,8,4,7,3,6,1,5]=>[5,1,6,3,7,4,8,2]=>9
[2,4,6,8,3,1,5,7]=>[7,5,1,3,8,6,4,2]=>[3,8,4,7,2,6,1,5]=>[5,1,6,2,7,4,8,3]=>11
[2,4,6,3,1,8,5,7]=>[7,5,8,1,3,6,4,2]=>[4,8,5,7,2,6,1,3]=>[3,1,6,2,7,5,8,4]=>17
[2,4,6,3,8,1,5,7]=>[7,5,1,8,3,6,4,2]=>[3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]=>13
[2,4,6,3,8,5,1,7]=>[7,1,5,8,3,6,4,2]=>[2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]=>11
[2,4,6,3,8,5,7,1]=>[1,7,5,8,3,6,4,2]=>[1,8,5,7,3,6,2,4]=>[4,2,6,3,7,5,8,1]=>6
[2,4,3,6,8,5,7,1]=>[1,7,5,8,6,3,4,2]=>[1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]=>5
[2,4,3,6,8,5,1,7]=>[7,1,5,8,6,3,4,2]=>[2,8,6,7,3,5,1,4]=>[4,1,5,3,7,6,8,2]=>10
[2,4,3,6,8,1,5,7]=>[7,5,1,8,6,3,4,2]=>[3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]=>12
[2,4,3,6,1,8,5,7]=>[7,5,8,1,6,3,4,2]=>[4,8,6,7,2,5,1,3]=>[3,1,5,2,7,6,8,4]=>16
[2,4,3,1,6,8,5,7]=>[7,5,8,6,1,3,4,2]=>[5,8,6,7,2,4,1,3]=>[3,1,4,2,7,6,8,5]=>17
[2,4,1,3,6,8,7,5]=>[5,7,8,6,3,1,4,2]=>[6,8,5,7,1,4,2,3]=>[3,2,4,1,7,5,8,6]=>13
[2,4,3,6,1,8,7,5]=>[5,7,8,1,6,3,4,2]=>[4,8,6,7,1,5,2,3]=>[3,2,5,1,7,6,8,4]=>15
[2,4,3,6,8,1,7,5]=>[5,7,1,8,6,3,4,2]=>[3,8,6,7,1,5,2,4]=>[4,2,5,1,7,6,8,3]=>11
[2,4,6,3,8,1,7,5]=>[5,7,1,8,3,6,4,2]=>[3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]=>12
[2,4,6,3,1,8,7,5]=>[5,7,8,1,3,6,4,2]=>[4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]=>16
[2,4,1,6,3,8,7,5]=>[5,7,8,3,6,1,4,2]=>[6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]=>14
[2,1,4,6,3,8,7,5]=>[5,7,8,3,6,4,1,2]=>[7,8,4,6,1,5,2,3]=>[3,2,5,1,6,4,8,7]=>11
[2,1,4,6,8,3,7,5]=>[5,7,3,8,6,4,1,2]=>[7,8,3,6,1,5,2,4]=>[4,2,5,1,6,3,8,7]=>9
[2,4,1,6,8,3,7,5]=>[5,7,3,8,6,1,4,2]=>[6,8,3,7,1,5,2,4]=>[4,2,5,1,7,3,8,6]=>12
[2,4,6,1,8,3,7,5]=>[5,7,3,8,1,6,4,2]=>[5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]=>12
[2,4,6,8,1,3,7,5]=>[5,7,3,1,8,6,4,2]=>[4,8,3,7,1,6,2,5]=>[5,2,6,1,7,3,8,4]=>9
[2,4,6,8,3,1,7,5]=>[5,7,1,3,8,6,4,2]=>[3,8,4,7,1,6,2,5]=>[5,2,6,1,7,4,8,3]=>10
[5,8,7,1,4,3,2,6]=>[6,2,3,4,1,7,8,5]=>[5,2,3,4,8,1,6,7]=>[7,6,1,8,4,3,2,5]=>7
[3,5,6,4,1,8,2,7]=>[7,2,8,1,4,6,5,3]=>[4,2,8,5,7,6,1,3]=>[3,1,6,7,5,8,2,4]=>16
[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>0
[7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>0
[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>0
[6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>0
[9,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,9]=>[5,4,3,2,1,8,7,6,9]=>[9,6,7,8,1,2,3,4,5]=>0
[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>0
[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>0
[7,8,9,4,5,6,1,2,3]=>[3,2,1,6,5,4,9,8,7]=>[3,2,1,6,5,4,9,8,7]=>[7,8,9,4,5,6,1,2,3]=>0
[8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,2,3]=>0
[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>0
[9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2]=>0
[9,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9]=>[9,8,7,5,6,3,4,1,2]=>0
[9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]=>0
[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>0
[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>0
[8,9,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,9,8]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>0
[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>0
[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>0
[10,7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7,10]=>[6,5,4,3,2,1,9,8,7,10]=>[10,7,8,9,1,2,3,4,5,6]=>0
[9,10,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>0
[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>0
[10,6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6,10]=>[5,4,3,2,1,9,8,7,6,10]=>[10,6,7,8,9,1,2,3,4,5]=>0
[9,10,6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6,10,9]=>[5,4,3,2,1,8,7,6,10,9]=>[9,10,6,7,8,1,2,3,4,5]=>0
[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>0
[9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>0
[8,9,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,9,8]=>[4,3,2,1,7,6,5,10,9,8]=>[8,9,10,5,6,7,1,2,3,4]=>0
[9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>0
[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>0
[10,8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,2,3]=>0
[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>0
[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>0
[10,9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10]=>[10,9,7,8,5,6,3,4,1,2]=>0
[10,9,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,9,10]=>[2,1,4,3,6,5,7,8,9,10]=>[10,9,8,7,5,6,3,4,1,2]=>0
[10,9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,1,2]=>0
[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>0
[7,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]=>27
[1,8,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,8,1]=>[9,1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1,9]=>0
[8,9,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,3,2]=>35
[7,6,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,6,7]=>[2,3,4,5,6,8,9,7,1]=>[1,7,9,8,6,5,4,3,2]=>27
[6,8,7,5,4,3,2,1,9]=>[9,1,2,3,4,5,7,8,6]=>[2,3,4,5,6,9,7,8,1]=>[1,8,7,9,6,5,4,3,2]=>26
[1,8,7,9,6,5,4,3,2]=>[2,3,4,5,6,9,7,8,1]=>[9,1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1,9]=>1
[1,7,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,7,1]=>[9,1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1,9]=>0
[1,9,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,9,1]=>[10,1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1,10]=>0
[2,7,6,4,5,8,3,1]=>[1,3,8,5,4,6,7,2]=>[1,8,2,5,4,6,7,3]=>[3,7,6,4,5,2,8,1]=>5
[6,5,3,1,4,2,8,7]=>[7,8,2,4,1,3,5,6]=>[5,3,6,4,7,8,1,2]=>[2,1,8,7,4,6,3,5]=>25
[5,3,6,8,4,7,2,1]=>[1,2,7,4,8,6,3,5]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>5
[3,7,2,5,4,8,6,1]=>[1,6,8,4,5,2,7,3]=>[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>9
[8,4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4,8]=>[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>5
[4,7,2,5,8,3,6,1]=>[1,6,3,8,5,2,7,4]=>[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>7
[5,2,6,8,4,3,7,1]=>[1,7,3,4,8,6,2,5]=>[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>8
[3,1,6,5,4,8,2,7]=>[7,2,8,4,5,6,1,3]=>[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>15
[4,1,6,5,8,3,2,7]=>[7,2,3,8,5,6,1,4]=>[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>13
[5,1,6,8,4,3,2,7]=>[7,2,3,4,8,6,1,5]=>[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>12
[8,5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5,8]=>[1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]=>2
[5,7,1,8,4,3,2,6]=>[6,2,3,4,8,1,7,5]=>[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>9
[2,7,1,5,4,3,8,6]=>[6,8,3,4,5,1,7,2]=>[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>15
[8,2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2,8]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>11
[8,4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4,8]=>[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>8
[8,5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>1
[8,4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4,8]=>[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>6
[8,3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3,8]=>[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>7
[2,7,6,1,4,3,8,5]=>[5,8,3,4,1,6,7,2]=>[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>13
[6,7,8,5,1,3,2,4]=>[4,2,3,1,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>1
[5,7,6,8,2,3,4,1]=>[1,4,3,2,8,6,7,5]=>[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>1
[5,7,2,8,4,3,6,1]=>[1,6,3,4,8,2,7,5]=>[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>6
[6,7,8,2,4,3,5,1]=>[1,5,3,4,2,8,7,6]=>[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>1
[4,7,6,2,8,3,5,1]=>[1,5,3,8,2,6,7,4]=>[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>6
[8,3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3,8]=>[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>5
[3,7,6,2,4,8,5,1]=>[1,5,8,4,2,6,7,3]=>[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>8
[5,7,3,8,4,6,2,1]=>[1,2,6,4,8,3,7,5]=>[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>4
[4,7,3,5,8,6,2,1]=>[1,2,6,8,5,3,7,4]=>[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>5
[8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>6
[8,7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7,8]=>[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>5
[8,7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>2
[8,7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7,8]=>[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>4
[8,7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7,8]=>[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>5
[8,2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2,8]=>[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>8
[8,4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4,8]=>[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>1
[5,7,6,8,4,1,2,3]=>[3,2,1,4,8,6,7,5]=>[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>1
[4,7,6,5,8,1,2,3]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>3
[3,7,6,5,1,8,2,4]=>[4,2,8,1,5,6,7,3]=>[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>9
[8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>7
[1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>0
[9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>8
[7,8,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7]=>12
[1,8,9,2,3,4,5,6,7]=>[7,6,5,4,3,2,9,8,1]=>[9,6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6,9]=>0
[1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>0
[10,1,2,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,2,1,10]=>[10,9,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>9
[8,9,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,9,8]=>[8,7,6,5,4,3,2,10,9,1]=>[1,9,10,2,3,4,5,6,7,8]=>14
[6,8,1,2,3,4,5,7,9]=>[9,7,5,4,3,2,1,8,6]=>[7,6,5,4,3,9,2,8,1]=>[1,8,2,9,3,4,5,6,7]=>16
[1,8,2,9,3,4,5,6,7]=>[7,6,5,4,3,9,2,8,1]=>[9,7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7,9]=>1
[1,7,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,7,1]=>[9,6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6,9]=>5
[1,9,10,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,10,9,1]=>[10,7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7,10]=>0
[1,11,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11]=>0
[8,4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4,8]=>[5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]=>12
[5,4,2,8,7,3,6,1]=>[1,6,3,7,8,2,4,5]=>[1,6,3,7,8,2,4,5]=>[5,4,2,8,7,3,6,1]=>11
[4,8,7,3,2,1,6,5]=>[5,6,1,2,3,7,8,4]=>[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>12
[4,7,6,5,1,8,3,2]=>[2,3,8,1,5,6,7,4]=>[4,1,2,8,5,6,7,3]=>[3,7,6,5,8,2,1,4]=>7
[8,1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1,8]=>[7,2,3,5,4,1,6,8]=>[8,6,1,4,5,3,2,7]=>5
[5,6,2,4,3,1,8,7]=>[7,8,1,3,4,2,6,5]=>[3,6,4,5,8,7,1,2]=>[2,1,7,8,5,4,6,3]=>24
[2,1,4,6,8,7,3,5]=>[5,3,7,8,6,4,1,2]=>[7,8,2,6,1,5,3,4]=>[4,3,5,1,6,2,8,7]=>7
[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>0
[5,3,1,7,2,4,6,8]=>[8,6,4,2,7,1,3,5]=>[6,4,7,3,8,2,5,1]=>[1,5,2,8,3,7,4,6]=>20
[7,5,3,4,1,2,8,6]=>[6,8,2,1,4,3,5,7]=>[4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]=>21
[7,5,6,3,1,8,2,4]=>[4,2,8,1,3,6,5,7]=>[4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]=>11
[2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1]=>0
[3,1,2,6,8,5,7,4]=>[4,7,5,8,6,2,1,3]=>[7,6,8,1,3,5,2,4]=>[4,2,5,3,1,8,6,7]=>11
[3,5,4,8,7,1,2,6]=>[6,2,1,7,8,4,5,3]=>[3,2,8,6,7,1,4,5]=>[5,4,1,7,6,8,2,3]=>9
[6,7,5,2,1,3,8,4]=>[4,8,3,1,2,5,7,6]=>[4,5,3,1,6,8,7,2]=>[2,7,8,6,1,3,5,4]=>14
[6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>15
[4,8,3,6,5,7,1,2]=>[2,1,7,5,6,3,8,4]=>[2,1,6,8,4,5,3,7]=>[7,3,5,4,8,6,1,2]=>4
[4,5,1,8,2,7,3,6]=>[6,3,7,2,8,1,5,4]=>[6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]=>12
[3,6,5,4,1,2,8,7]=>[7,8,2,1,4,5,6,3]=>[4,3,8,5,6,7,1,2]=>[2,1,7,6,5,8,3,4]=>22
[5,8,1,3,7,6,4,2]=>[2,4,6,7,3,1,8,5]=>[6,1,5,2,8,3,4,7]=>[7,4,3,8,2,5,1,6]=>4
[2,1,5,8,7,6,3,4]=>[4,3,6,7,8,5,1,2]=>[7,8,2,1,6,3,4,5]=>[5,4,3,6,1,2,8,7]=>6
[5,1,7,8,4,3,6,2]=>[2,6,3,4,8,7,1,5]=>[7,1,3,4,8,2,6,5]=>[5,6,2,8,4,3,1,7]=>6
[5,7,1,3,4,2,6,8]=>[8,6,2,4,3,1,7,5]=>[6,3,5,4,8,2,7,1]=>[1,7,2,8,4,5,3,6]=>17
[4,3,2,6,1,5,8,7]=>[7,8,5,1,6,2,3,4]=>[4,6,7,8,3,5,1,2]=>[2,1,5,3,8,7,6,4]=>25
[1,7,2,3,5,4,6,8]=>[8,6,4,5,3,2,7,1]=>[8,6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6,8]=>7
[2,4,6,5,8,1,3,7]=>[7,3,1,8,5,6,4,2]=>[3,8,2,7,5,6,1,4]=>[4,1,6,5,7,2,8,3]=>10
[3,7,8,2,4,5,6,1]=>[1,6,5,4,2,8,7,3]=>[1,5,8,4,3,2,7,6]=>[6,7,2,3,4,8,5,1]=>3
[1,7,5,2,3,4,6,8]=>[8,6,4,3,2,5,7,1]=>[8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]=>11
[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]=>0
[5,1,2,4,8,3,7,6]=>[6,7,3,8,4,2,1,5]=>[7,6,3,5,8,1,2,4]=>[4,2,1,8,5,3,6,7]=>13
[1,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,1]=>[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]=>0
[8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]=>[1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]=>1
[8,1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1,8]=>[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>0
[8,3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3,8]=>[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>1
[8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8]=>[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>0
[4,8,1,5,2,6,3,7]=>[7,3,6,2,5,1,8,4]=>[6,4,2,8,5,3,1,7]=>[7,1,3,5,8,2,4,6]=>10
[1,2,7,3,5,4,6,8]=>[8,6,4,5,3,7,2,1]=>[8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]=>6
[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>0
[5,4,7,6,3,8,1,2]=>[2,1,8,3,6,7,4,5]=>[2,1,4,7,8,5,6,3]=>[3,6,5,8,7,4,1,2]=>8
[8,1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1,8]=>[7,4,6,1,2,5,3,8]=>[8,3,5,2,1,6,4,7]=>4
[3,4,6,5,1,2,8,7]=>[7,8,2,1,5,6,4,3]=>[4,3,8,7,5,6,1,2]=>[2,1,6,5,7,8,3,4]=>18
[2,7,1,3,8,6,5,4]=>[4,5,6,8,3,1,7,2]=>[6,8,5,1,2,3,7,4]=>[4,7,3,2,1,5,8,6]=>7
[2,1,7,3,5,8,6,4]=>[4,6,8,5,3,7,1,2]=>[7,8,5,1,4,2,6,3]=>[3,6,2,4,1,5,8,7]=>8
[5,4,7,2,8,1,3,6]=>[6,3,1,8,2,7,4,5]=>[3,5,2,7,8,1,6,4]=>[4,6,1,8,7,2,5,3]=>14
[3,6,1,4,2,5,8,7]=>[7,8,5,2,4,1,6,3]=>[6,4,8,5,3,7,1,2]=>[2,1,7,3,5,8,4,6]=>18
[6,1,4,3,8,5,2,7]=>[7,2,5,8,3,4,1,6]=>[7,2,5,6,3,8,1,4]=>[4,1,8,3,6,5,2,7]=>14
[7,9,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,9,7]=>[3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3]=>3
[2,7,1,6,4,8,3,5]=>[5,3,8,4,6,1,7,2]=>[6,8,2,4,1,5,7,3]=>[3,7,5,1,4,2,8,6]=>10
[8,1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1,8]=>[7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]=>6
[2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2]=>[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>3
[6,1,7,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,7,1,6]=>[9,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,9]=>20
[7,1,8,2,9,3,10,4,11,5,12,6]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>[11,9,7,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>35
[5,4,8,6,2,3,7,1]=>[1,7,3,2,6,8,4,5]=>[1,4,3,7,8,5,2,6]=>[6,2,5,8,7,3,4,1]=>9
[4,6,1,7,3,5,2,8]=>[8,2,5,3,7,1,6,4]=>[6,2,4,8,3,7,5,1]=>[1,5,7,3,8,4,2,6]=>16
[3,7,5,8,1,6,2,4]=>[4,2,6,1,8,5,7,3]=>[4,2,8,1,6,3,7,5]=>[5,7,3,6,1,8,2,4]=>5
[5,3,4,6,2,8,1,7]=>[7,1,8,2,6,4,3,5]=>[2,4,7,6,8,5,1,3]=>[3,1,5,8,6,7,4,2]=>19
[6,3,2,4,7,5,8,1]=>[1,8,5,7,4,2,3,6]=>[1,6,7,5,3,8,4,2]=>[2,4,8,3,5,7,6,1]=>12
[2,4,7,5,6,8,3,1]=>[1,3,8,6,5,7,4,2]=>[1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]=>2
[4,1,2,5,3,8,7,6]=>[6,7,8,3,5,2,1,4]=>[7,6,4,8,5,1,2,3]=>[3,2,1,5,8,4,6,7]=>14
[2,7,1,3,5,6,4,8]=>[8,4,6,5,3,1,7,2]=>[6,8,5,2,4,3,7,1]=>[1,7,3,4,2,5,8,6]=>12
[6,7,5,2,1,8,4,3]=>[3,4,8,1,2,5,7,6]=>[4,5,1,2,6,8,7,3]=>[3,7,8,6,2,1,5,4]=>11
[6,4,2,5,3,8,7,1]=>[1,7,8,3,5,2,4,6]=>[1,6,4,7,5,8,2,3]=>[3,2,8,5,7,4,6,1]=>15
[4,5,1,3,8,2,7,6]=>[6,7,2,8,3,1,5,4]=>[6,3,5,8,7,1,2,4]=>[4,2,1,7,8,5,3,6]=>18
[2,4,6,8,3,7,5,1]=>[1,5,7,3,8,6,4,2]=>[1,8,4,7,2,6,3,5]=>[5,3,6,2,7,4,8,1]=>3
[4,6,8,3,2,1,5,7]=>[7,5,1,2,3,8,6,4]=>[3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]=>16
[3,1,2,7,5,6,8,4]=>[4,8,6,5,7,2,1,3]=>[7,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,7]=>12
[3,6,1,8,7,5,2,4]=>[4,2,5,7,8,1,6,3]=>[6,2,8,1,3,7,4,5]=>[5,4,7,3,1,8,2,6]=>7
[7,4,6,2,3,5,8,1]=>[1,8,5,3,2,6,4,7]=>[1,5,4,7,3,6,8,2]=>[2,8,6,3,7,4,5,1]=>12
[5,7,6,4,3,1,8,2]=>[2,8,1,3,4,6,7,5]=>[3,1,4,5,8,6,7,2]=>[2,7,6,8,5,4,1,3]=>13
[7,8,2,3,4,6,5,1]=>[1,5,6,4,3,2,8,7]=>[1,6,5,4,2,3,8,7]=>[7,8,3,2,4,5,6,1]=>0
[8,1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1,8]=>[7,5,2,4,3,1,6,8]=>[8,6,1,3,4,2,5,7]=>2
[3,6,1,8,2,4,7,5]=>[5,7,4,2,8,1,6,3]=>[6,4,8,3,1,7,2,5]=>[5,2,7,1,3,8,4,6]=>11
[1,7,3,5,2,4,6,8]=>[8,6,4,2,5,3,7,1]=>[8,4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4,8]=>12
[6,5,8,4,3,2,7,1]=>[1,7,2,3,4,8,5,6]=>[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>11
[7,4,3,1,8,2,5,6]=>[6,5,2,8,1,3,4,7]=>[5,3,6,7,2,1,8,4]=>[4,8,1,2,7,6,3,5]=>16
[5,6,3,4,2,1,8,7]=>[7,8,1,2,4,3,6,5]=>[3,4,6,5,8,7,1,2]=>[2,1,7,8,5,6,4,3]=>26
[7,8,5,2,1,4,6,3]=>[3,6,4,1,2,5,8,7]=>[4,5,1,3,6,2,8,7]=>[7,8,2,6,3,1,5,4]=>6
[8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]=>[7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]=>0
[2,6,5,1,8,7,4,3]=>[3,4,7,8,1,5,6,2]=>[5,8,1,2,6,7,3,4]=>[4,3,7,6,2,1,8,5]=>10
[7,3,4,2,6,1,8,5]=>[5,8,1,6,2,4,3,7]=>[3,5,7,6,1,4,8,2]=>[2,8,4,1,6,7,5,3]=>18
[4,6,3,7,2,5,8,1]=>[1,8,5,2,7,3,6,4]=>[1,4,6,8,3,7,5,2]=>[2,5,7,3,8,6,4,1]=>13
[6,7,3,2,5,1,8,4]=>[4,8,1,5,2,3,7,6]=>[3,5,6,1,4,8,7,2]=>[2,7,8,4,1,6,5,3]=>16
[6,4,5,2,7,3,8,1]=>[1,8,3,7,2,5,4,6]=>[1,5,3,7,6,8,4,2]=>[2,4,8,6,7,3,5,1]=>14
[3,5,6,2,4,1,8,7]=>[7,8,1,4,2,6,5,3]=>[3,5,8,4,7,6,1,2]=>[2,1,6,7,4,8,5,3]=>21
[2,1,5,7,8,4,6,3]=>[3,6,4,8,7,5,1,2]=>[7,8,1,3,6,2,5,4]=>[4,5,2,6,3,1,8,7]=>7
[2,4,8,7,1,3,6,5]=>[5,6,3,1,7,8,4,2]=>[4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]=>7
[4,2,8,5,7,6,1,3]=>[3,1,6,7,5,8,2,4]=>[2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]=>5
[3,7,6,4,5,1,8,2]=>[2,8,1,5,4,6,7,3]=>[3,1,8,5,4,6,7,2]=>[2,7,6,4,5,8,1,3]=>10
[2,8,5,7,4,6,3,1]=>[1,3,6,4,7,5,8,2]=>[1,8,2,4,6,3,5,7]=>[7,5,3,6,4,2,8,1]=>1
[8,3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3,8]=>[1,5,7,4,3,6,2,8]=>[8,2,6,3,4,7,5,1]=>6
[2,8,6,4,3,5,7,1]=>[1,7,5,3,4,6,8,2]=>[1,8,4,5,3,6,2,7]=>[7,2,6,3,5,4,8,1]=>5
[2,6,8,3,5,4,7,1]=>[1,7,4,5,3,8,6,2]=>[1,8,5,3,4,7,2,6]=>[6,2,7,4,3,5,8,1]=>4
[6,3,8,7,5,2,4,1]=>[1,4,2,5,7,8,3,6]=>[1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]=>3
[8,7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7,8]=>[1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]=>3
[5,7,1,4,2,3,6,8]=>[8,6,3,2,4,1,7,5]=>[6,4,3,5,8,2,7,1]=>[1,7,2,8,5,3,4,6]=>17
[5,8,1,3,2,4,6,7]=>[7,6,4,2,3,1,8,5]=>[6,4,5,3,8,2,1,7]=>[7,1,2,8,3,5,4,6]=>11
[8,4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4,8]=>[4,5,3,7,1,6,2,8]=>[8,2,6,1,7,3,5,4]=>12
[6,8,5,4,1,3,2,7]=>[7,2,3,1,4,5,8,6]=>[4,2,3,5,6,8,1,7]=>[7,1,8,6,5,3,2,4]=>13
[6,7,4,3,1,8,2,5]=>[5,2,8,1,3,4,7,6]=>[4,2,5,6,1,8,7,3]=>[3,7,8,1,6,5,2,4]=>14
[7,8,2,4,1,5,3,6]=>[6,3,5,1,4,2,8,7]=>[4,6,2,5,3,1,8,7]=>[7,8,1,3,5,2,6,4]=>7
[6,3,7,2,8,5,4,1]=>[1,4,5,8,2,7,3,6]=>[1,5,7,2,3,8,6,4]=>[4,6,8,3,2,7,5,1]=>7
[8,4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4,8]=>[2,6,4,7,3,5,1,8]=>[8,1,5,3,7,4,6,2]=>12
[8,4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4,8]=>[3,4,2,7,5,6,1,8]=>[8,1,6,5,7,2,4,3]=>12
[4,8,1,7,3,5,2,6]=>[6,2,5,3,7,1,8,4]=>[6,2,4,8,3,1,5,7]=>[7,5,1,3,8,4,2,6]=>8
[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>0
[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>0
[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>0
[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>0
[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>0
[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]=>[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>0
[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]=>[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>0
[1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]=>0
[1,2,3,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]=>0
[8,5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5,8]=>[2,6,3,5,7,1,4,8]=>[8,4,1,7,5,3,6,2]=>10
[5,1,7,3,2,4,6,8]=>[8,6,4,2,3,7,1,5]=>[7,4,5,3,8,2,6,1]=>[1,6,2,8,3,5,4,7]=>16
[3,5,8,7,4,2,6,1]=>[1,6,2,4,7,8,5,3]=>[1,3,8,4,7,2,5,6]=>[6,5,2,7,4,8,3,1]=>4
[3,6,8,5,2,7,4,1]=>[1,4,7,2,5,8,6,3]=>[1,4,8,2,5,7,3,6]=>[6,3,7,5,2,8,4,1]=>5
[2,1,6,5,4,8,3,7]=>[7,3,8,4,5,6,1,2]=>[7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]=>15
[2,1,7,8,4,6,5,3]=>[3,5,6,4,8,7,1,2]=>[7,8,1,4,2,3,6,5]=>[5,6,3,2,4,1,8,7]=>6
[2,1,7,4,3,5,8,6]=>[6,8,5,3,4,7,1,2]=>[7,8,4,5,3,1,6,2]=>[2,6,1,3,5,4,8,7]=>12
[3,5,7,8,4,6,1,2]=>[2,1,6,4,8,7,5,3]=>[2,1,8,4,7,3,6,5]=>[5,6,3,7,4,8,1,2]=>1
[7,5,2,8,4,6,3,1]=>[1,3,6,4,8,2,5,7]=>[1,6,2,4,7,3,8,5]=>[5,8,3,7,4,2,6,1]=>5
[7,6,3,8,1,5,4,2]=>[2,4,5,1,8,3,6,7]=>[4,1,6,2,3,7,8,5]=>[5,8,7,3,2,6,1,4]=>5
[7,2,4,1,6,3,8,5]=>[5,8,3,6,1,4,2,7]=>[5,7,3,6,1,4,8,2]=>[2,8,4,1,6,3,7,5]=>15
[7,3,1,4,6,8,5,2]=>[2,5,8,6,4,1,3,7]=>[6,1,7,5,2,4,8,3]=>[3,8,4,2,5,7,1,6]=>8
[7,3,8,5,2,6,4,1]=>[1,4,6,2,5,8,3,7]=>[1,4,7,2,5,3,8,6]=>[6,8,3,5,2,7,4,1]=>4
[4,3,8,7,1,6,5,2]=>[2,5,6,1,7,8,3,4]=>[4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]=>8
[5,3,2,4,7,8,6,1]=>[1,6,8,7,4,2,3,5]=>[1,6,7,5,8,2,4,3]=>[3,4,2,8,5,7,6,1]=>13
[5,3,4,2,8,7,1,6]=>[6,1,7,8,2,4,3,5]=>[2,5,7,6,8,1,3,4]=>[4,3,1,8,6,7,5,2]=>19
[5,2,4,3,6,8,1,7]=>[7,1,8,6,3,4,2,5]=>[2,7,5,6,8,4,1,3]=>[3,1,4,8,6,5,7,2]=>17
[3,8,6,5,4,1,2,7]=>[7,2,1,4,5,6,8,3]=>[3,2,8,4,5,6,1,7]=>[7,1,6,5,4,8,2,3]=>11
[4,7,5,6,3,8,2,1]=>[1,2,8,3,6,5,7,4]=>[1,2,4,8,6,5,7,3]=>[3,7,5,6,8,4,2,1]=>6
[4,2,7,5,8,3,6,1]=>[1,6,3,8,5,7,2,4]=>[1,7,3,8,5,2,6,4]=>[4,6,2,5,8,3,7,1]=>7
[3,8,5,7,1,4,6,2]=>[2,6,4,1,7,5,8,3]=>[4,1,8,3,6,2,5,7]=>[7,5,2,6,3,8,1,4]=>4
[5,8,2,7,3,4,6,1]=>[1,6,4,3,7,2,8,5]=>[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>4
[6,8,2,5,4,3,1,7]=>[7,1,3,4,5,2,8,6]=>[2,6,3,4,5,8,1,7]=>[7,1,8,5,4,3,6,2]=>12
[6,7,2,4,5,3,8,1]=>[1,8,3,5,4,2,7,6]=>[1,6,3,5,4,8,7,2]=>[2,7,8,4,5,3,6,1]=>10
[5,7,2,8,3,6,1,4]=>[4,1,6,3,8,2,7,5]=>[2,6,4,1,8,3,7,5]=>[5,7,3,8,1,4,6,2]=>6
[5,1,3,6,4,2,8,7]=>[7,8,2,4,6,3,1,5]=>[7,3,6,4,8,5,1,2]=>[2,1,5,8,4,6,3,7]=>18
[5,1,8,7,4,6,2,3]=>[3,2,6,4,7,8,1,5]=>[7,2,1,4,8,3,5,6]=>[6,5,3,8,4,1,2,7]=>4
[6,8,3,7,5,4,2,1]=>[1,2,4,5,7,3,8,6]=>[1,2,6,3,4,8,5,7]=>[7,5,8,4,3,6,2,1]=>1
[6,1,3,4,7,5,8,2]=>[2,8,5,7,4,3,1,6]=>[7,1,6,5,3,8,4,2]=>[2,4,8,3,5,6,1,7]=>8
[6,3,2,1,4,8,5,7]=>[7,5,8,4,1,2,3,6]=>[5,6,7,4,2,8,1,3]=>[3,1,8,2,4,7,6,5]=>21
[6,2,3,1,4,7,8,5]=>[5,8,7,4,1,3,2,6]=>[5,7,6,4,1,8,3,2]=>[2,3,8,1,4,6,7,5]=>16
[6,2,1,4,8,7,5,3]=>[3,5,7,8,4,1,2,6]=>[6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]=>11
[6,2,8,3,5,7,4,1]=>[1,4,7,5,3,8,2,6]=>[1,7,5,2,4,8,3,6]=>[6,3,8,4,2,5,7,1]=>4
[5,2,1,3,6,4,8,7]=>[7,8,4,6,3,1,2,5]=>[6,7,5,3,8,4,1,2]=>[2,1,4,8,3,5,7,6]=>18
[7,1,8,3,5,4,6,2]=>[2,6,4,5,3,8,1,7]=>[7,1,5,3,4,2,8,6]=>[6,8,2,4,3,5,1,7]=>2
[7,1,2,4,8,5,6,3]=>[3,6,5,8,4,2,1,7]=>[7,6,1,5,3,2,8,4]=>[4,8,2,3,5,1,6,7]=>3
[7,1,3,2,4,8,6,5]=>[5,6,8,4,2,3,1,7]=>[7,5,6,4,1,2,8,3]=>[3,8,2,1,4,6,5,7]=>8
[7,2,1,3,4,5,8,6]=>[6,8,5,4,3,1,2,7]=>[6,7,5,4,3,1,8,2]=>[2,8,1,3,4,5,7,6]=>10
[4,1,2,8,7,5,3,6]=>[6,3,5,7,8,2,1,4]=>[7,6,2,8,3,1,4,5]=>[5,4,1,3,8,2,6,7]=>10
[4,6,1,8,7,3,2,5]=>[5,2,3,7,8,1,6,4]=>[6,2,3,8,1,7,4,5]=>[5,4,7,1,8,3,2,6]=>8
[4,7,8,1,5,3,2,6]=>[6,2,3,5,1,8,7,4]=>[5,2,3,8,4,1,7,6]=>[6,7,1,4,8,3,2,5]=>7
[9,1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>0
[10,1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]=>0
[9,1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1,9]=>[8,7,6,5,4,1,3,2,9]=>[9,2,3,1,4,5,6,7,8]=>0
[2,3,4,5,6,9,7,8,1]=>[1,8,7,9,6,5,4,3,2]=>[1,9,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,9,1]=>0
[2,3,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,10,1]=>0
[1,2,3,6,8,4,7,5]=>[5,7,4,8,6,3,2,1]=>[8,7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7,8]=>1
[8,6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6,8]=>[4,6,3,1,2,7,5,8]=>[8,5,7,2,1,3,6,4]=>4
[6,1,2,7,5,4,3,8]=>[8,3,4,5,7,2,1,6]=>[7,6,2,3,4,8,5,1]=>[1,5,8,4,3,2,6,7]=>13
[3,5,7,4,6,1,2,8]=>[8,2,1,6,4,7,5,3]=>[3,2,8,5,7,4,6,1]=>[1,6,4,7,5,8,2,3]=>14
[3,7,5,1,4,8,6,2]=>[2,6,8,4,1,5,7,3]=>[5,1,8,4,6,2,7,3]=>[3,7,2,6,4,8,1,5]=>10
[3,7,5,1,4,8,2,6]=>[6,2,8,4,1,5,7,3]=>[5,2,8,4,6,1,7,3]=>[3,7,1,6,4,8,2,5]=>13
[7,3,4,2,5,8,6,1]=>[1,6,8,5,2,4,3,7]=>[1,5,7,6,4,2,8,3]=>[3,8,2,4,6,7,5,1]=>10
[8,5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5,8]=>[4,5,3,1,7,6,2,8]=>[8,2,6,7,1,3,5,4]=>9
[1,5,3,2,4,7,6,8]=>[8,6,7,4,2,3,5,1]=>[8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>14
[1,5,3,2,7,4,6,8]=>[8,6,4,7,2,3,5,1]=>[8,5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5,8]=>14
[5,1,3,2,4,7,6,8]=>[8,6,7,4,2,3,1,5]=>[7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]=>17
[5,1,3,2,7,4,6,8]=>[8,6,4,7,2,3,1,5]=>[7,5,6,3,8,2,4,1]=>[1,4,2,8,3,6,5,7]=>17
[7,1,3,2,5,4,6,8]=>[8,6,4,5,2,3,1,7]=>[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>12
[1,7,3,2,5,4,6,8]=>[8,6,4,5,2,3,7,1]=>[8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]=>11
[7,1,3,5,2,4,6,8]=>[8,6,4,2,5,3,1,7]=>[7,4,6,3,5,2,8,1]=>[1,8,2,5,3,6,4,7]=>13
[5,1,3,7,2,4,6,8]=>[8,6,4,2,7,3,1,5]=>[7,4,6,3,8,2,5,1]=>[1,5,2,8,3,6,4,7]=>16
[3,7,5,1,2,4,6,8]=>[8,6,4,2,1,5,7,3]=>[5,4,8,3,6,2,7,1]=>[1,7,2,6,3,8,4,5]=>17
[5,7,3,1,2,4,6,8]=>[8,6,4,2,1,3,7,5]=>[5,4,6,3,8,2,7,1]=>[1,7,2,8,3,6,4,5]=>19
[1,5,3,7,2,4,6,8]=>[8,6,4,2,7,3,5,1]=>[8,4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4,8]=>13
[1,3,2,7,5,4,6,8]=>[8,6,4,5,7,2,3,1]=>[8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>10
[1,3,7,2,5,4,6,8]=>[8,6,4,5,2,7,3,1]=>[8,5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5,8]=>10
[7,3,1,2,5,4,6,8]=>[8,6,4,5,2,1,3,7]=>[6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>16
[5,3,1,2,7,4,6,8]=>[8,6,4,7,2,1,3,5]=>[6,5,7,3,8,2,4,1]=>[1,4,2,8,3,7,5,6]=>21
[5,3,1,2,4,7,6,8]=>[8,6,7,4,2,1,3,5]=>[6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]=>21
[7,3,1,5,2,4,6,8]=>[8,6,4,2,5,1,3,7]=>[6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]=>17
[1,3,7,5,2,4,6,8]=>[8,6,4,2,5,7,3,1]=>[8,4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4,8]=>11
[7,5,1,3,2,4,6,8]=>[8,6,4,2,3,1,5,7]=>[6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>17
[5,7,1,3,2,4,6,8]=>[8,6,4,2,3,1,7,5]=>[6,4,5,3,8,2,7,1]=>[1,7,2,8,3,5,4,6]=>16
[3,7,1,5,2,4,6,8]=>[8,6,4,2,5,1,7,3]=>[6,4,8,3,5,2,7,1]=>[1,7,2,5,3,8,4,6]=>16
[3,7,1,2,5,4,6,8]=>[8,6,4,5,2,1,7,3]=>[6,5,8,3,4,2,7,1]=>[1,7,2,4,3,8,5,6]=>15
[3,1,2,7,5,4,6,8]=>[8,6,4,5,7,2,1,3]=>[7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]=>15
[3,1,7,2,5,4,6,8]=>[8,6,4,5,2,7,1,3]=>[7,5,8,3,4,2,6,1]=>[1,6,2,4,3,8,5,7]=>15
[3,1,7,5,2,4,6,8]=>[8,6,4,2,5,7,1,3]=>[7,4,8,3,5,2,6,1]=>[1,6,2,5,3,8,4,7]=>16
[7,1,5,3,2,4,6,8]=>[8,6,4,2,3,5,1,7]=>[7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>15
[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>[8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]=>14
[5,1,3,2,4,6,7,8]=>[8,7,6,4,2,3,1,5]=>[7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]=>16
[5,7,4,2,6,3,1,8]=>[8,1,3,6,2,4,7,5]=>[2,5,3,6,8,4,7,1]=>[1,7,4,8,6,3,5,2]=>19
[8,6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6,8]=>[4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]=>4
[6,3,7,2,8,1,5,4]=>[4,5,1,8,2,7,3,6]=>[3,5,7,1,2,8,6,4]=>[4,6,8,2,1,7,5,3]=>11
[8,4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4,8]=>[3,1,4,7,5,6,2,8]=>[8,2,6,5,7,4,1,3]=>8
[3,6,1,8,2,7,5,4]=>[4,5,7,2,8,1,6,3]=>[6,4,8,1,2,7,3,5]=>[5,3,7,2,1,8,4,6]=>10
[4,7,1,3,6,8,2,5]=>[5,2,8,6,3,1,7,4]=>[6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>11
[4,1,7,5,2,3,6,8]=>[8,6,3,2,5,7,1,4]=>[7,4,3,8,5,2,6,1]=>[1,6,2,5,8,3,4,7]=>16
[2,4,6,8,1,7,5,3]=>[3,5,7,1,8,6,4,2]=>[4,8,1,7,2,6,3,5]=>[5,3,6,2,7,1,8,4]=>6
[6,5,7,3,2,8,1,4]=>[4,1,8,2,3,7,5,6]=>[2,4,5,1,7,8,6,3]=>[3,6,8,7,1,5,4,2]=>12
[1,6,7,8,9,2,3,4,5]=>[5,4,3,2,9,8,7,6,1]=>[9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9]=>0
[4,1,2,8,5,3,6,7]=>[7,6,3,5,8,2,1,4]=>[7,6,3,8,4,2,1,5]=>[5,1,2,4,8,3,6,7]=>12
[5,1,8,2,4,3,6,7]=>[7,6,3,4,2,8,1,5]=>[7,5,3,4,8,2,1,6]=>[6,1,2,8,4,3,5,7]=>11
[3,6,7,2,5,8,1,4]=>[4,1,8,5,2,7,6,3]=>[2,5,8,1,4,7,6,3]=>[3,6,7,4,1,8,5,2]=>9
[5,7,1,3,2,4,8,6]=>[6,8,4,2,3,1,7,5]=>[6,4,5,3,8,1,7,2]=>[2,7,1,8,3,5,4,6]=>15
[6,3,7,2,5,4,8,1]=>[1,8,4,5,2,7,3,6]=>[1,5,7,3,4,8,6,2]=>[2,6,8,4,3,7,5,1]=>12
[6,4,7,5,2,8,3,1]=>[1,3,8,2,5,7,4,6]=>[1,4,2,7,5,8,6,3]=>[3,6,8,5,7,2,4,1]=>8
[7,2,6,3,1,5,8,4]=>[4,8,5,1,3,6,2,7]=>[4,7,5,1,3,6,8,2]=>[2,8,6,3,1,5,7,4]=>14
[2,4,6,1,8,7,5,3]=>[3,5,7,8,1,6,4,2]=>[5,8,1,7,2,6,3,4]=>[4,3,6,2,7,1,8,5]=>9
[7,3,6,5,2,4,1,8]=>[8,1,4,2,5,6,3,7]=>[2,4,7,3,5,6,8,1]=>[1,8,6,5,3,7,4,2]=>18
[5,4,8,6,3,1,2,7]=>[7,2,1,3,6,8,4,5]=>[3,2,4,7,8,5,1,6]=>[6,1,5,8,7,4,2,3]=>14
[5,4,6,2,8,3,7,1]=>[1,7,3,8,2,6,4,5]=>[1,5,3,7,8,6,2,4]=>[4,2,6,8,7,3,5,1]=>12
[7,1,2,6,5,4,3,8]=>[8,3,4,5,6,2,1,7]=>[7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]=>12
[8,3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3,8]=>[1,4,7,2,6,3,5,8]=>[8,5,3,6,2,7,4,1]=>3
[2,4,6,8,5,3,7,1]=>[1,7,3,5,8,6,4,2]=>[1,8,3,7,4,6,2,5]=>[5,2,6,4,7,3,8,1]=>4
[5,7,3,2,6,1,8,4]=>[4,8,1,6,2,3,7,5]=>[3,5,6,1,8,4,7,2]=>[2,7,4,8,1,6,5,3]=>17
[8,1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1,8]=>[7,2,4,1,5,3,6,8]=>[8,6,3,5,1,4,2,7]=>2
[6,4,2,3,5,1,8,7]=>[7,8,1,5,3,2,4,6]=>[3,6,5,7,4,8,1,2]=>[2,1,8,4,7,5,6,3]=>24
[3,7,4,5,1,6,2,8]=>[8,2,6,1,5,4,7,3]=>[4,2,8,6,5,3,7,1]=>[1,7,3,5,6,8,2,4]=>15
[4,8,7,1,5,3,2,6]=>[6,2,3,5,1,7,8,4]=>[5,2,3,8,4,1,6,7]=>[7,6,1,4,8,3,2,5]=>7
[2,4,8,1,7,6,3,5]=>[5,3,6,7,1,8,4,2]=>[5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]=>8
[6,5,4,8,3,7,2,1]=>[1,2,7,3,8,4,5,6]=>[1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]=>9
[2,6,8,5,1,4,3,7]=>[7,3,4,1,5,8,6,2]=>[4,8,2,3,5,7,1,6]=>[6,1,7,5,3,2,8,4]=>11
[4,3,8,7,2,6,5,1]=>[1,5,6,2,7,8,3,4]=>[1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]=>8
[4,3,6,8,2,5,7,1]=>[1,7,5,2,8,6,3,4]=>[1,4,7,8,3,6,2,5]=>[5,2,6,3,8,7,4,1]=>10
[2,6,5,8,1,4,7,3]=>[3,7,4,1,8,5,6,2]=>[4,8,1,3,6,7,2,5]=>[5,2,7,6,3,1,8,4]=>9
[5,3,8,6,4,7,2,1]=>[1,2,7,4,6,8,3,5]=>[1,2,7,4,8,5,3,6]=>[6,3,5,8,4,7,2,1]=>5
[8,5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5,8]=>[2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]=>2
[5,8,6,1,4,3,2,7]=>[7,2,3,4,1,6,8,5]=>[5,2,3,4,8,6,1,7]=>[7,1,6,8,4,3,2,5]=>11
[4,7,5,8,2,1,3,6]=>[6,3,1,2,8,5,7,4]=>[3,4,2,8,6,1,7,5]=>[5,7,1,6,8,2,4,3]=>9
[8,1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1,8]=>[7,3,1,6,4,5,2,8]=>[8,2,5,4,6,1,3,7]=>4
[1,2,7,5,3,4,6,8]=>[8,6,4,3,5,7,2,1]=>[8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]=>8
[2,4,6,3,8,7,5,1]=>[1,5,7,8,3,6,4,2]=>[1,8,5,7,2,6,3,4]=>[4,3,6,2,7,5,8,1]=>5
[2,4,6,1,8,7,3,5]=>[5,3,7,8,1,6,4,2]=>[5,8,2,7,1,6,3,4]=>[4,3,6,1,7,2,8,5]=>10
[2,4,3,6,8,7,1,5]=>[5,1,7,8,6,3,4,2]=>[2,8,6,7,1,5,3,4]=>[4,3,5,1,7,6,8,2]=>7
[2,4,6,3,8,7,1,5]=>[5,1,7,8,3,6,4,2]=>[2,8,5,7,1,6,3,4]=>[4,3,6,1,7,5,8,2]=>8
[2,4,6,5,8,7,1,3]=>[3,1,7,8,5,6,4,2]=>[2,8,1,7,5,6,3,4]=>[4,3,6,5,7,1,8,2]=>3
[2,4,6,8,5,7,3,1]=>[1,3,7,5,8,6,4,2]=>[1,8,2,7,4,6,3,5]=>[5,3,6,4,7,2,8,1]=>1
[2,4,6,8,5,7,1,3]=>[3,1,7,5,8,6,4,2]=>[2,8,1,7,4,6,3,5]=>[5,3,6,4,7,1,8,2]=>2
[2,4,6,8,3,7,1,5]=>[5,1,7,3,8,6,4,2]=>[2,8,4,7,1,6,3,5]=>[5,3,6,1,7,4,8,2]=>6
[2,4,6,8,1,7,3,5]=>[5,3,7,1,8,6,4,2]=>[4,8,2,7,1,6,3,5]=>[5,3,6,1,7,2,8,4]=>7
[2,4,6,5,1,8,7,3]=>[3,7,8,1,5,6,4,2]=>[4,8,1,7,5,6,2,3]=>[3,2,6,5,7,1,8,4]=>11
[2,4,6,5,8,3,7,1]=>[1,7,3,8,5,6,4,2]=>[1,8,3,7,5,6,2,4]=>[4,2,6,5,7,3,8,1]=>5
[2,4,6,5,8,1,7,3]=>[3,7,1,8,5,6,4,2]=>[3,8,1,7,5,6,2,4]=>[4,2,6,5,7,1,8,3]=>7
[2,4,6,8,5,1,7,3]=>[3,7,1,5,8,6,4,2]=>[3,8,1,7,4,6,2,5]=>[5,2,6,4,7,1,8,3]=>6
[2,4,6,8,7,3,5,1]=>[1,5,3,7,8,6,4,2]=>[1,8,3,7,2,6,4,5]=>[5,4,6,2,7,3,8,1]=>1
[2,4,6,8,7,1,5,3]=>[3,5,1,7,8,6,4,2]=>[3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]=>3
[2,4,6,8,7,1,3,5]=>[5,3,1,7,8,6,4,2]=>[3,8,2,7,1,6,4,5]=>[5,4,6,1,7,2,8,3]=>4
[2,4,6,8,5,1,3,7]=>[7,3,1,5,8,6,4,2]=>[3,8,2,7,4,6,1,5]=>[5,1,6,4,7,2,8,3]=>9
[2,4,6,5,1,8,3,7]=>[7,3,8,1,5,6,4,2]=>[4,8,2,7,5,6,1,3]=>[3,1,6,5,7,2,8,4]=>14
[2,4,6,5,1,3,8,7]=>[7,8,3,1,5,6,4,2]=>[4,8,3,7,5,6,1,2]=>[2,1,6,5,7,3,8,4]=>17
[2,4,6,5,3,8,1,7]=>[7,1,8,3,5,6,4,2]=>[2,8,4,7,5,6,1,3]=>[3,1,6,5,7,4,8,2]=>13
[2,4,6,5,8,3,1,7]=>[7,1,3,8,5,6,4,2]=>[2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2]=>10
[2,4,6,8,5,3,1,7]=>[7,1,3,5,8,6,4,2]=>[2,8,3,7,4,6,1,5]=>[5,1,6,4,7,3,8,2]=>9
[2,4,6,8,7,3,1,5]=>[5,1,3,7,8,6,4,2]=>[2,8,3,7,1,6,4,5]=>[5,4,6,1,7,3,8,2]=>4
[2,4,6,8,7,5,1,3]=>[3,1,5,7,8,6,4,2]=>[2,8,1,7,3,6,4,5]=>[5,4,6,3,7,1,8,2]=>1
[2,6,7,1,3,5,8,4]=>[4,8,5,3,1,7,6,2]=>[5,8,4,1,3,7,6,2]=>[2,6,7,3,1,4,8,5]=>10
[7,8,5,2,4,1,3,6]=>[6,3,1,4,2,5,8,7]=>[3,5,2,4,6,1,8,7]=>[7,8,1,6,4,2,5,3]=>8
[6,8,5,3,1,7,2,4]=>[4,2,7,1,3,5,8,6]=>[4,2,5,1,6,8,3,7]=>[7,3,8,6,1,5,2,4]=>8
[8,7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7,8]=>[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>1
[7,1,2,3,5,4,6,8]=>[8,6,4,5,3,2,1,7]=>[7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]=>8
[8,4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4,8]=>[4,6,2,7,3,1,5,8]=>[8,5,1,3,7,2,6,4]=>10
[2,7,1,3,8,4,6,5]=>[5,6,4,8,3,1,7,2]=>[6,8,5,3,1,2,7,4]=>[4,7,2,1,3,5,8,6]=>7
[7,3,4,6,2,1,5,8]=>[8,5,1,2,6,4,3,7]=>[3,4,7,6,2,5,8,1]=>[1,8,5,2,6,7,4,3]=>19
[8,7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7,8]=>[5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]=>6
[7,1,2,5,3,4,6,8]=>[8,6,4,3,5,2,1,7]=>[7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>10
[8,5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5,8]=>[3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]=>3
[2,8,6,1,4,5,7,3]=>[3,7,5,4,1,6,8,2]=>[5,8,1,4,3,6,2,7]=>[7,2,6,3,4,1,8,5]=>7
[3,1,6,4,8,7,2,5]=>[5,2,7,8,4,6,1,3]=>[7,2,8,5,1,6,3,4]=>[4,3,6,1,5,8,2,7]=>9
[7,8,6,4,1,3,2,5]=>[5,2,3,1,4,6,8,7]=>[4,2,3,5,1,6,8,7]=>[7,8,6,1,5,3,2,4]=>4
[8,4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4,8]=>[3,5,4,7,2,6,1,8]=>[8,1,6,2,7,4,5,3]=>14
[7,5,2,1,4,3,8,6]=>[6,8,3,4,1,2,5,7]=>[5,6,3,4,7,1,8,2]=>[2,8,1,7,4,3,6,5]=>19
[8,3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3,8]=>[3,5,7,4,1,6,2,8]=>[8,2,6,1,4,7,5,3]=>12
[5,7,1,3,4,2,8,6]=>[6,8,2,4,3,1,7,5]=>[6,3,5,4,8,1,7,2]=>[2,7,1,8,4,5,3,6]=>16
[8,6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6,8]=>[3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]=>3
[8,6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6,8]=>[2,6,4,1,5,7,3,8]=>[8,3,7,5,1,4,6,2]=>6
[8,6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6,8]=>[1,6,4,2,5,7,3,8]=>[8,3,7,5,2,4,6,1]=>4
[2,7,1,8,6,3,5,4]=>[4,5,3,6,8,1,7,2]=>[6,8,3,1,2,4,7,5]=>[5,7,4,2,1,3,8,6]=>6
[5,7,6,1,3,2,8,4]=>[4,8,2,3,1,6,7,5]=>[5,3,4,1,8,6,7,2]=>[2,7,6,8,1,4,3,5]=>12
[5,7,3,2,6,1,4,8]=>[8,4,1,6,2,3,7,5]=>[3,5,6,2,8,4,7,1]=>[1,7,4,8,2,6,5,3]=>20
[8,1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1,8]=>[7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]=>1
[2,7,1,6,4,8,5,3]=>[3,5,8,4,6,1,7,2]=>[6,8,1,4,2,5,7,3]=>[3,7,5,2,4,1,8,6]=>9
[8,6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6,8]=>[1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]=>3
[3,5,4,6,1,7,8,2]=>[2,8,7,1,6,4,5,3]=>[4,1,8,6,7,5,3,2]=>[2,3,5,7,6,8,1,4]=>11
[4,6,5,1,8,3,7,2]=>[2,7,3,8,1,5,6,4]=>[5,1,3,8,6,7,2,4]=>[4,2,7,6,8,3,1,5]=>11
[8,1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1,8]=>[7,1,3,5,6,4,2,8]=>[8,2,4,6,5,3,1,7]=>5
[2,7,1,5,6,4,3,8]=>[8,3,4,6,5,1,7,2]=>[6,8,2,3,5,4,7,1]=>[1,7,4,5,3,2,8,6]=>15
[4,7,5,1,8,6,2,3]=>[3,2,6,8,1,5,7,4]=>[5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]=>6
[7,4,5,2,8,3,1,6]=>[6,1,3,8,2,5,4,7]=>[2,5,3,7,6,1,8,4]=>[4,8,1,6,7,3,5,2]=>13
[8,4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4,8]=>[1,6,3,7,5,4,2,8]=>[8,2,4,5,7,3,6,1]=>6
[8,6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6,8]=>[1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>1
[5,4,7,2,8,6,1,3]=>[3,1,6,8,2,7,4,5]=>[2,5,1,7,8,3,6,4]=>[4,6,3,8,7,1,5,2]=>9
[8,5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5,8]=>[4,5,1,2,7,6,3,8]=>[8,3,6,7,2,1,5,4]=>7
[3,5,6,4,1,7,2,8]=>[8,2,7,1,4,6,5,3]=>[4,2,8,5,7,6,3,1]=>[1,3,6,7,5,8,2,4]=>17
[2,5,6,1,7,4,3,8]=>[8,3,4,7,1,6,5,2]=>[5,8,2,3,7,6,4,1]=>[1,4,6,7,3,2,8,5]=>15
[2,7,1,8,6,5,4,3]=>[3,4,5,6,8,1,7,2]=>[6,8,1,2,3,4,7,5]=>[5,7,4,3,2,1,8,6]=>6
[3,7,6,1,8,5,4,2]=>[2,4,5,8,1,6,7,3]=>[5,1,8,2,3,6,7,4]=>[4,7,6,3,2,8,1,5]=>6
[1,2,3,4,5,6,9,10,7,8]=>[8,7,10,9,6,5,4,3,2,1]=>[10,9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9,10]=>0
[5,1,2,8,6,4,3,7]=>[7,3,4,6,8,2,1,5]=>[7,6,2,3,8,4,1,5]=>[5,1,4,8,3,2,6,7]=>11
[4,7,8,1,5,6,2,3]=>[3,2,6,5,1,8,7,4]=>[5,2,1,8,4,3,7,6]=>[6,7,3,4,8,1,2,5]=>2
[7,8,1,6,5,2,4,3]=>[3,4,2,5,6,1,8,7]=>[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]=>0
[6,4,8,2,7,3,1,5]=>[5,1,3,7,2,8,4,6]=>[2,5,3,7,1,8,4,6]=>[6,4,8,1,7,3,5,2]=>9
[1,7,3,2,4,5,6,8]=>[8,6,5,4,2,3,7,1]=>[8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]=>9
[1,2,3,7,5,4,6,8]=>[8,6,4,5,7,3,2,1]=>[8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]=>5
[7,4,2,1,6,8,3,5]=>[5,3,8,6,1,2,4,7]=>[5,6,2,7,1,4,8,3]=>[3,8,4,1,7,2,6,5]=>15
[5,3,8,2,6,4,7,1]=>[1,7,4,6,2,8,3,5]=>[1,5,7,3,8,4,2,6]=>[6,2,4,8,3,7,5,1]=>10
[3,6,4,1,5,7,2,8]=>[8,2,7,5,1,4,6,3]=>[5,2,8,6,4,7,3,1]=>[1,3,7,4,6,8,2,5]=>17
[6,4,3,5,1,8,2,7]=>[7,2,8,1,5,3,4,6]=>[4,2,6,7,5,8,1,3]=>[3,1,8,5,7,6,2,4]=>21
[1,2,3,4,5,8,9,6,7]=>[7,6,9,8,5,4,3,2,1]=>[9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9]=>0
[1,4,8,2,7,6,5,3]=>[3,5,6,7,2,8,4,1]=>[8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8]=>3
[3,9,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,9,3]=>[7,1,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,1,7]=>5
[1,2,7,8,9,10,3,4,5,6]=>[6,5,4,3,10,9,8,7,2,1]=>[10,9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9,10]=>0
[3,1,7,8,4,2,6,5]=>[5,6,2,4,8,7,1,3]=>[7,3,8,4,1,2,6,5]=>[5,6,2,1,4,8,3,7]=>9
[1,5,3,2,4,6,7,8]=>[8,7,6,4,2,3,5,1]=>[8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]=>13
[5,8,1,4,2,3,6,7]=>[7,6,3,2,4,1,8,5]=>[6,4,3,5,8,2,1,7]=>[7,1,2,8,5,3,4,6]=>12
[6,3,7,5,2,4,1,8]=>[8,1,4,2,5,7,3,6]=>[2,4,7,3,5,8,6,1]=>[1,6,8,5,3,7,4,2]=>18
[5,3,4,8,7,6,2,1]=>[1,2,6,7,8,4,3,5]=>[1,2,7,6,8,3,4,5]=>[5,4,3,8,6,7,2,1]=>6
[7,1,3,2,4,5,6,8]=>[8,6,5,4,2,3,1,7]=>[7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]=>10
[8,6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6,8]=>[4,2,6,5,1,7,3,8]=>[8,3,7,1,5,6,2,4]=>9
[2,7,5,6,8,4,3,1]=>[1,3,4,8,6,5,7,2]=>[1,8,2,3,6,5,7,4]=>[4,7,5,6,3,2,8,1]=>2
[8,1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1,8]=>[7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]=>4
[3,1,2,6,8,7,5,4]=>[4,5,7,8,6,2,1,3]=>[7,6,8,1,2,5,3,4]=>[4,3,5,2,1,8,6,7]=>10
[6,4,1,2,7,8,3,5]=>[5,3,8,7,2,1,4,6]=>[6,5,2,7,1,8,4,3]=>[3,4,8,1,7,2,5,6]=>13
[5,7,6,4,3,1,2,8]=>[8,2,1,3,4,6,7,5]=>[3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]=>18
[5,4,3,8,7,1,2,6]=>[6,2,1,7,8,3,4,5]=>[3,2,6,7,8,1,4,5]=>[5,4,1,8,7,6,2,3]=>15
[4,7,1,3,6,5,2,8]=>[8,2,5,6,3,1,7,4]=>[6,2,5,8,3,4,7,1]=>[1,7,4,3,8,5,2,6]=>16
[3,6,4,5,1,2,8,7]=>[7,8,2,1,5,4,6,3]=>[4,3,8,6,5,7,1,2]=>[2,1,7,5,6,8,3,4]=>20
[6,8,3,5,4,7,2,1]=>[1,2,7,4,5,3,8,6]=>[1,2,6,4,5,8,3,7]=>[7,3,8,5,4,6,2,1]=>4
[3,6,8,1,4,7,2,5]=>[5,2,7,4,1,8,6,3]=>[5,2,8,4,1,7,3,6]=>[6,3,7,1,4,8,2,5]=>7
[7,1,2,4,3,6,8,5]=>[5,8,6,3,4,2,1,7]=>[7,6,4,5,1,3,8,2]=>[2,8,3,1,5,4,6,7]=>8
[4,5,1,8,6,3,2,7]=>[7,2,3,6,8,1,5,4]=>[6,2,3,8,7,4,1,5]=>[5,1,4,7,8,3,2,6]=>13
[6,5,3,4,1,7,2,8]=>[8,2,7,1,4,3,5,6]=>[4,2,6,5,7,8,3,1]=>[1,3,8,7,5,6,2,4]=>23
[4,6,5,1,2,3,7,8]=>[8,7,3,2,1,5,6,4]=>[5,4,3,8,6,7,2,1]=>[1,2,7,6,8,3,4,5]=>20
[7,3,5,6,8,2,4,1]=>[1,4,2,8,6,5,3,7]=>[1,3,7,2,6,5,8,4]=>[4,8,5,6,2,7,3,1]=>4
[3,7,6,5,4,1,2,8]=>[8,2,1,4,5,6,7,3]=>[3,2,8,4,5,6,7,1]=>[1,7,6,5,4,8,2,3]=>16
[8,4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4,8]=>[4,3,5,7,2,1,6,8]=>[8,6,1,2,7,5,3,4]=>10
[3,6,8,5,1,4,2,7]=>[7,2,4,1,5,8,6,3]=>[4,2,8,3,5,7,1,6]=>[6,1,7,5,3,8,2,4]=>11
[7,1,5,2,3,4,6,8]=>[8,6,4,3,2,5,1,7]=>[7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>12
[4,6,1,5,2,3,7,8]=>[8,7,3,2,5,1,6,4]=>[6,4,3,8,5,7,2,1]=>[1,2,7,5,8,3,4,6]=>19
[4,8,6,5,1,3,2,7]=>[7,2,3,1,5,6,8,4]=>[4,2,3,8,5,6,1,7]=>[7,1,6,5,8,3,2,4]=>11
[7,1,2,5,3,8,4,6]=>[6,4,8,3,5,2,1,7]=>[7,6,4,2,5,1,8,3]=>[3,8,1,5,2,4,6,7]=>7
[4,8,2,7,5,1,6,3]=>[3,6,1,5,7,2,8,4]=>[3,6,1,8,4,2,5,7]=>[7,5,2,4,8,1,6,3]=>7
[7,1,2,4,6,3,5,8]=>[8,5,3,6,4,2,1,7]=>[7,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,7]=>10
[7,5,8,2,4,3,1,6]=>[6,1,3,4,2,8,5,7]=>[2,5,3,4,7,1,8,6]=>[6,8,1,7,4,3,5,2]=>9
[3,8,7,4,2,5,1,6]=>[6,1,5,2,4,7,8,3]=>[2,4,8,5,3,1,6,7]=>[7,6,1,3,5,8,4,2]=>8
[5,3,4,8,2,1,7,6]=>[6,7,1,2,8,4,3,5]=>[3,4,7,6,8,1,2,5]=>[5,2,1,8,6,7,4,3]=>20
[2,4,1,7,5,6,8,3]=>[3,8,6,5,7,1,4,2]=>[6,8,1,7,4,3,5,2]=>[2,5,3,4,7,1,8,6]=>11
[7,3,6,2,5,8,4,1]=>[1,4,8,5,2,6,3,7]=>[1,5,7,2,4,6,8,3]=>[3,8,6,4,2,7,5,1]=>9
[5,7,6,3,4,8,2,1]=>[1,2,8,4,3,6,7,5]=>[1,2,5,4,8,6,7,3]=>[3,7,6,8,4,5,2,1]=>7
[3,8,7,1,6,4,2,5]=>[5,2,4,6,1,7,8,3]=>[5,2,8,3,1,4,6,7]=>[7,6,4,1,3,8,2,5]=>5
[6,7,3,5,2,1,4,8]=>[8,4,1,2,5,3,7,6]=>[3,4,6,2,5,8,7,1]=>[1,7,8,5,2,6,4,3]=>19
[2,5,3,8,6,4,7,1]=>[1,7,4,6,8,3,5,2]=>[1,8,6,3,7,4,2,5]=>[5,2,4,7,3,6,8,1]=>5
[5,7,6,4,2,3,8,1]=>[1,8,3,2,4,6,7,5]=>[1,4,3,5,8,6,7,2]=>[2,7,6,8,5,3,4,1]=>12
[2,7,5,1,6,4,8,3]=>[3,8,4,6,1,5,7,2]=>[5,8,1,3,6,4,7,2]=>[2,7,4,6,3,1,8,5]=>12
[2,5,7,6,3,4,8,1]=>[1,8,4,3,6,7,5,2]=>[1,8,4,3,7,5,6,2]=>[2,6,5,7,3,4,8,1]=>7
[7,8,3,6,4,2,5,1]=>[1,5,2,4,6,3,8,7]=>[1,3,6,4,2,5,8,7]=>[7,8,5,2,4,6,3,1]=>2
[3,1,8,4,7,6,2,5]=>[5,2,6,7,4,8,1,3]=>[7,2,8,5,1,3,4,6]=>[6,4,3,1,5,8,2,7]=>7
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Description
The number of occurrences of the pattern 132 in a permutation.
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inverse
Description
Sends a permutation to its inverse.
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reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
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