Identifier
-
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
St000018: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>0
[1,2]=>[1,2]=>0
[2,1]=>[1,2]=>0
[1,2,3]=>[1,2,3]=>0
[1,3,2]=>[1,2,3]=>0
[2,1,3]=>[1,2,3]=>0
[2,3,1]=>[1,2,3]=>0
[3,1,2]=>[1,3,2]=>1
[3,2,1]=>[1,3,2]=>1
[1,2,3,4]=>[1,2,3,4]=>0
[1,2,4,3]=>[1,2,3,4]=>0
[1,3,2,4]=>[1,2,3,4]=>0
[1,3,4,2]=>[1,2,3,4]=>0
[1,4,2,3]=>[1,2,4,3]=>1
[1,4,3,2]=>[1,2,4,3]=>1
[2,1,3,4]=>[1,2,3,4]=>0
[2,1,4,3]=>[1,2,3,4]=>0
[2,3,1,4]=>[1,2,3,4]=>0
[2,3,4,1]=>[1,2,3,4]=>0
[2,4,1,3]=>[1,2,4,3]=>1
[2,4,3,1]=>[1,2,4,3]=>1
[3,1,2,4]=>[1,3,2,4]=>1
[3,1,4,2]=>[1,3,4,2]=>2
[3,2,1,4]=>[1,3,2,4]=>1
[3,2,4,1]=>[1,3,4,2]=>2
[3,4,1,2]=>[1,3,2,4]=>1
[3,4,2,1]=>[1,3,2,4]=>1
[4,1,2,3]=>[1,4,3,2]=>3
[4,1,3,2]=>[1,4,2,3]=>2
[4,2,1,3]=>[1,4,3,2]=>3
[4,2,3,1]=>[1,4,2,3]=>2
[4,3,1,2]=>[1,4,2,3]=>2
[4,3,2,1]=>[1,4,2,3]=>2
[1,2,3,4,5]=>[1,2,3,4,5]=>0
[1,2,3,5,4]=>[1,2,3,4,5]=>0
[1,2,4,3,5]=>[1,2,3,4,5]=>0
[1,2,4,5,3]=>[1,2,3,4,5]=>0
[1,2,5,3,4]=>[1,2,3,5,4]=>1
[1,2,5,4,3]=>[1,2,3,5,4]=>1
[1,3,2,4,5]=>[1,2,3,4,5]=>0
[1,3,2,5,4]=>[1,2,3,4,5]=>0
[1,3,4,2,5]=>[1,2,3,4,5]=>0
[1,3,4,5,2]=>[1,2,3,4,5]=>0
[1,3,5,2,4]=>[1,2,3,5,4]=>1
[1,3,5,4,2]=>[1,2,3,5,4]=>1
[1,4,2,3,5]=>[1,2,4,3,5]=>1
[1,4,2,5,3]=>[1,2,4,5,3]=>2
[1,4,3,2,5]=>[1,2,4,3,5]=>1
[1,4,3,5,2]=>[1,2,4,5,3]=>2
[1,4,5,2,3]=>[1,2,4,3,5]=>1
[1,4,5,3,2]=>[1,2,4,3,5]=>1
[1,5,2,3,4]=>[1,2,5,4,3]=>3
[1,5,2,4,3]=>[1,2,5,3,4]=>2
[1,5,3,2,4]=>[1,2,5,4,3]=>3
[1,5,3,4,2]=>[1,2,5,3,4]=>2
[1,5,4,2,3]=>[1,2,5,3,4]=>2
[1,5,4,3,2]=>[1,2,5,3,4]=>2
[2,1,3,4,5]=>[1,2,3,4,5]=>0
[2,1,3,5,4]=>[1,2,3,4,5]=>0
[2,1,4,3,5]=>[1,2,3,4,5]=>0
[2,1,4,5,3]=>[1,2,3,4,5]=>0
[2,1,5,3,4]=>[1,2,3,5,4]=>1
[2,1,5,4,3]=>[1,2,3,5,4]=>1
[2,3,1,4,5]=>[1,2,3,4,5]=>0
[2,3,1,5,4]=>[1,2,3,4,5]=>0
[2,3,4,1,5]=>[1,2,3,4,5]=>0
[2,3,4,5,1]=>[1,2,3,4,5]=>0
[2,3,5,1,4]=>[1,2,3,5,4]=>1
[2,3,5,4,1]=>[1,2,3,5,4]=>1
[2,4,1,3,5]=>[1,2,4,3,5]=>1
[2,4,1,5,3]=>[1,2,4,5,3]=>2
[2,4,3,1,5]=>[1,2,4,3,5]=>1
[2,4,3,5,1]=>[1,2,4,5,3]=>2
[2,4,5,1,3]=>[1,2,4,3,5]=>1
[2,4,5,3,1]=>[1,2,4,3,5]=>1
[2,5,1,3,4]=>[1,2,5,4,3]=>3
[2,5,1,4,3]=>[1,2,5,3,4]=>2
[2,5,3,1,4]=>[1,2,5,4,3]=>3
[2,5,3,4,1]=>[1,2,5,3,4]=>2
[2,5,4,1,3]=>[1,2,5,3,4]=>2
[2,5,4,3,1]=>[1,2,5,3,4]=>2
[3,1,2,4,5]=>[1,3,2,4,5]=>1
[3,1,2,5,4]=>[1,3,2,4,5]=>1
[3,1,4,2,5]=>[1,3,4,2,5]=>2
[3,1,4,5,2]=>[1,3,4,5,2]=>3
[3,1,5,2,4]=>[1,3,5,4,2]=>4
[3,1,5,4,2]=>[1,3,5,2,4]=>3
[3,2,1,4,5]=>[1,3,2,4,5]=>1
[3,2,1,5,4]=>[1,3,2,4,5]=>1
[3,2,4,1,5]=>[1,3,4,2,5]=>2
[3,2,4,5,1]=>[1,3,4,5,2]=>3
[3,2,5,1,4]=>[1,3,5,4,2]=>4
[3,2,5,4,1]=>[1,3,5,2,4]=>3
[3,4,1,2,5]=>[1,3,2,4,5]=>1
[3,4,1,5,2]=>[1,3,2,4,5]=>1
[3,4,2,1,5]=>[1,3,2,4,5]=>1
[3,4,2,5,1]=>[1,3,2,4,5]=>1
[3,4,5,1,2]=>[1,3,5,2,4]=>3
[3,4,5,2,1]=>[1,3,5,2,4]=>3
[3,5,1,2,4]=>[1,3,2,5,4]=>2
[3,5,1,4,2]=>[1,3,2,5,4]=>2
[3,5,2,1,4]=>[1,3,2,5,4]=>2
[3,5,2,4,1]=>[1,3,2,5,4]=>2
[3,5,4,1,2]=>[1,3,4,2,5]=>2
[3,5,4,2,1]=>[1,3,4,2,5]=>2
[4,1,2,3,5]=>[1,4,3,2,5]=>3
[4,1,2,5,3]=>[1,4,5,3,2]=>5
[4,1,3,2,5]=>[1,4,2,3,5]=>2
[4,1,3,5,2]=>[1,4,5,2,3]=>4
[4,1,5,2,3]=>[1,4,2,3,5]=>2
[4,1,5,3,2]=>[1,4,3,5,2]=>4
[4,2,1,3,5]=>[1,4,3,2,5]=>3
[4,2,1,5,3]=>[1,4,5,3,2]=>5
[4,2,3,1,5]=>[1,4,2,3,5]=>2
[4,2,3,5,1]=>[1,4,5,2,3]=>4
[4,2,5,1,3]=>[1,4,2,3,5]=>2
[4,2,5,3,1]=>[1,4,3,5,2]=>4
[4,3,1,2,5]=>[1,4,2,3,5]=>2
[4,3,1,5,2]=>[1,4,5,2,3]=>4
[4,3,2,1,5]=>[1,4,2,3,5]=>2
[4,3,2,5,1]=>[1,4,5,2,3]=>4
[4,3,5,1,2]=>[1,4,2,3,5]=>2
[4,3,5,2,1]=>[1,4,2,3,5]=>2
[4,5,1,2,3]=>[1,4,2,5,3]=>3
[4,5,1,3,2]=>[1,4,3,2,5]=>3
[4,5,2,1,3]=>[1,4,2,5,3]=>3
[4,5,2,3,1]=>[1,4,3,2,5]=>3
[4,5,3,1,2]=>[1,4,2,5,3]=>3
[4,5,3,2,1]=>[1,4,2,5,3]=>3
[5,1,2,3,4]=>[1,5,4,3,2]=>6
[5,1,2,4,3]=>[1,5,3,2,4]=>4
[5,1,3,2,4]=>[1,5,4,2,3]=>5
[5,1,3,4,2]=>[1,5,2,3,4]=>3
[5,1,4,2,3]=>[1,5,3,4,2]=>5
[5,1,4,3,2]=>[1,5,2,3,4]=>3
[5,2,1,3,4]=>[1,5,4,3,2]=>6
[5,2,1,4,3]=>[1,5,3,2,4]=>4
[5,2,3,1,4]=>[1,5,4,2,3]=>5
[5,2,3,4,1]=>[1,5,2,3,4]=>3
[5,2,4,1,3]=>[1,5,3,4,2]=>5
[5,2,4,3,1]=>[1,5,2,3,4]=>3
[5,3,1,2,4]=>[1,5,4,2,3]=>5
[5,3,1,4,2]=>[1,5,2,3,4]=>3
[5,3,2,1,4]=>[1,5,4,2,3]=>5
[5,3,2,4,1]=>[1,5,2,3,4]=>3
[5,3,4,1,2]=>[1,5,2,3,4]=>3
[5,3,4,2,1]=>[1,5,2,3,4]=>3
[5,4,1,2,3]=>[1,5,3,2,4]=>4
[5,4,1,3,2]=>[1,5,2,4,3]=>4
[5,4,2,1,3]=>[1,5,3,2,4]=>4
[5,4,2,3,1]=>[1,5,2,4,3]=>4
[5,4,3,1,2]=>[1,5,2,4,3]=>4
[5,4,3,2,1]=>[1,5,2,4,3]=>4
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>0
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>0
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>0
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>1
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>1
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>0
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>0
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>0
[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>0
[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>1
[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>1
[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>1
[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>2
[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>1
[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>2
[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>1
[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>1
[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>3
[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>2
[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>3
[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>2
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>2
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>2
[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>0
[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>0
[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>0
[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>0
[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>1
[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>1
[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>0
[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>0
[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>0
[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>0
[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>1
[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>1
[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>1
[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>2
[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>1
[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>2
[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>1
[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>1
[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>3
[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>2
[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>3
[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>2
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>2
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>2
[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>1
[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>1
[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>2
[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>3
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>4
[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>3
[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>1
[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>1
[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>2
[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>3
[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>4
[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>3
[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>1
[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>1
[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>1
[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>1
[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>3
[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>3
[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>2
[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>2
[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>2
[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>2
[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>2
[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>2
[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>3
[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>5
[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>2
[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>4
[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>2
[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>4
[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>3
[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>5
[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>2
[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>4
[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>2
[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>4
[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>2
[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>4
[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>2
[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>4
[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>2
[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>2
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>3
[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>3
[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>3
[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>3
[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>3
[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>3
[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>6
[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>4
[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>5
[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>3
[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>5
[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>3
[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>6
[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>4
[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>5
[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>3
[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>5
[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>3
[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>5
[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>3
[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>5
[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>3
[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>3
[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>3
[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>4
[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>4
[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>4
[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>4
[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>4
[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>4
[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>0
[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>0
[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>0
[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>0
[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>1
[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>1
[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>0
[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>0
[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>0
[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>0
[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>1
[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>1
[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>1
[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>2
[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>1
[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>2
[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>1
[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>1
[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>3
[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>2
[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>3
[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>2
[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>2
[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>2
[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>0
[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>0
[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>0
[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>0
[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>1
[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>1
[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>0
[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>0
[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>0
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>0
[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>1
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>1
[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>1
[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>2
[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>1
[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>2
[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>1
[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>1
[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>3
[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>2
[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>3
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>2
[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>2
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>2
[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>1
[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>1
[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>2
[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>3
[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>4
[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>3
[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>1
[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>1
[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>2
[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>3
[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>4
[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>3
[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>1
[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>1
[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>1
[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>1
[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>3
[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>3
[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>2
[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>2
[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>2
[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>2
[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>2
[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>2
[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>3
[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>5
[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>2
[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>4
[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>2
[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>4
[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>3
[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>5
[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>2
[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>4
[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>2
[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>4
[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>2
[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>4
[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>2
[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>4
[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>2
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>2
[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>3
[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>3
[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>3
[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>3
[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>3
[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>3
[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>6
[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>4
[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>5
[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>3
[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>5
[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>3
[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>6
[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>4
[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>5
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>3
[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>5
[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>3
[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>5
[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>3
[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>5
[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>3
[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>3
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>3
[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>4
[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>4
[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>4
[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>4
[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>4
[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>4
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>1
[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>1
[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>1
[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>1
[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>2
[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>2
[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>2
[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>2
[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>3
[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>4
[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>5
[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>4
[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>4
[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>6
[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>3
[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>5
[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>3
[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>5
[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>7
[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>5
[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>6
[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>4
[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>6
[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>4
[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>1
[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>1
[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>1
[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>1
[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>2
[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>2
[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>2
[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>2
[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>3
[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>4
[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>5
[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>4
[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>4
[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>6
[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>3
[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>5
[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>3
[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>5
[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>7
[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>5
[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>6
[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>4
[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>6
[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>4
[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>1
[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>1
[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>1
[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>1
[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>2
[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>2
[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>1
[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>1
[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>1
[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>1
[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>2
[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>2
[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>3
[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>5
[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>3
[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>5
[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>3
[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>3
[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>6
[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>4
[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>6
[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>4
[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>4
[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>4
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>2
[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>3
[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>2
[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>3
[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>2
[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>2
[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>2
[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>3
[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>2
[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>3
[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>2
[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>2
[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>2
[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>2
[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>2
[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>2
[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>4
[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>4
[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>5
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>5
[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>5
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>5
[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>5
[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>5
[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>4
[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>3
[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>4
[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>3
[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>3
[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>3
[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>4
[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>3
[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>4
[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>3
[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>3
[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>3
[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>3
[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>3
[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>3
[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>3
[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>3
[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>3
[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>4
[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>4
[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>4
[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>4
[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>4
[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>4
[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>3
[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>3
[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>5
[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>7
[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>8
[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>6
[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>2
[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>2
[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>4
[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>6
[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>7
[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>5
[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>2
[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>2
[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>4
[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>5
[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>7
[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>5
[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>3
[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>3
[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>6
[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>5
[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>4
[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>6
[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>3
[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>3
[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>5
[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>7
[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>8
[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>6
[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>2
[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>2
[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>4
[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>6
[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>7
[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>5
[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>2
[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>2
[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>4
[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>5
[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>7
[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>5
[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>3
[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>3
[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>6
[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>5
[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>4
[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>6
[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>2
[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>2
[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>4
[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>6
[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>7
[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>5
[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>2
[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>2
[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>4
[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>6
[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>7
[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>5
[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>2
[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>2
[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>2
[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>2
[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>5
[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>5
[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>3
[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>3
[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>3
[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>3
[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>4
[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>4
[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>3
[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>4
[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>3
[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>3
[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>6
[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>6
[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>3
[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>4
[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>3
[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>3
[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>6
[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>6
[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>3
[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>4
[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>3
[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>4
[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>6
[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>6
[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>3
[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>3
[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>3
[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>3
[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>5
[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>5
[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>5
[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>4
[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>4
[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>4
[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>5
[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>5
[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>5
[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>4
[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>4
[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>4
[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>5
[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>5
[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>5
[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>4
[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>5
[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>4
[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>5
[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>5
[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>4
[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>4
[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>4
[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>4
[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>4
[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>4
[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>6
[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>9
[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>4
[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>7
[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>4
[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>8
[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>5
[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>8
[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>3
[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>6
[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>3
[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>7
[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>5
[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>8
[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>3
[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>6
[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>3
[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>6
[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>7
[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>5
[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>4
[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>7
[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>4
[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>6
[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>6
[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>9
[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>4
[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>7
[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>4
[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>8
[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>5
[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>8
[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>3
[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>6
[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>3
[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>7
[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>5
[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>8
[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>3
[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>6
[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>3
[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>6
[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>7
[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>5
[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>4
[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>7
[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>4
[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>6
[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>5
[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>8
[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>3
[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>6
[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>3
[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>7
[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>5
[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>8
[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>3
[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>6
[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>3
[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>7
[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>3
[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>6
[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>3
[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>6
[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>3
[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>3
[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>4
[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>5
[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>4
[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>5
[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>4
[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>4
[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>4
[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>7
[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>4
[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>7
[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>5
[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>4
[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>4
[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>7
[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>4
[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>7
[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>5
[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>4
[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>4
[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>7
[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>4
[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>7
[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>5
[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>5
[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>4
[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>6
[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>4
[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>6
[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>4
[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>4
[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>5
[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>6
[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>6
[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>6
[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>5
[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>5
[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>5
[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>6
[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>6
[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>6
[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>5
[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>5
[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>6
[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>6
[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>6
[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>6
[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>5
[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>5
[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>5
[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>5
[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>5
[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>5
[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>5
[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>5
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>10
[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>7
[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>8
[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>5
[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>9
[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>5
[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>9
[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>6
[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>7
[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>4
[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>8
[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>4
[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>9
[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>6
[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>7
[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>4
[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>7
[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>4
[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>6
[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>8
[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>8
[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>5
[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>7
[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>5
[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>10
[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>7
[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>8
[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>5
[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>9
[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>5
[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>9
[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>6
[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>7
[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>4
[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>8
[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>4
[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>9
[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>6
[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>7
[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>4
[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>7
[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>4
[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>6
[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>8
[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>8
[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>5
[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>7
[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>5
[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>9
[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>6
[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>7
[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>4
[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>8
[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>4
[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>9
[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>6
[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>7
[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>4
[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>8
[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>4
[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>7
[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>4
[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>7
[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>4
[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>4
[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>4
[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>6
[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>5
[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>6
[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>5
[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>5
[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>5
[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>8
[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>5
[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>8
[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>5
[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>5
[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>6
[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>8
[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>5
[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>8
[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>5
[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>5
[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>6
[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>8
[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>5
[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>8
[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>5
[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>6
[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>6
[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>7
[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>5
[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>7
[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>5
[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>5
[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>5
[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>7
[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>6
[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>7
[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>7
[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>6
[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>6
[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>7
[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>6
[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>7
[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>7
[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>6
[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>6
[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>7
[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>7
[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>7
[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>7
[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>6
[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>6
[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>6
[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>6
[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>6
[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>6
[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>6
[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>6
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>0
[1,2,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>0
[1,2,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>0
[1,2,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>1
[1,2,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>1
[1,2,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>0
[1,2,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>0
[1,2,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>0
[1,2,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>0
[1,2,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>1
[1,2,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>1
[1,2,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>1
[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>1
[1,2,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>1
[1,2,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>1
[1,2,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>0
[1,2,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>0
[1,2,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>0
[1,2,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>0
[1,2,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>1
[1,2,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>1
[1,2,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>0
[1,2,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>0
[1,2,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>0
[1,2,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>0
[1,2,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>1
[1,2,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>1
[1,2,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>1
[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>1
[1,2,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>1
[1,2,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>1
[1,2,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>3
[1,2,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>3
[1,2,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>3
[1,2,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>3
[1,3,2,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[1,3,2,4,5,7,6]=>[1,2,3,4,5,6,7]=>0
[1,3,2,4,6,5,7]=>[1,2,3,4,5,6,7]=>0
[1,3,2,4,6,7,5]=>[1,2,3,4,5,6,7]=>0
[1,3,2,4,7,5,6]=>[1,2,3,4,5,7,6]=>1
[1,3,2,4,7,6,5]=>[1,2,3,4,5,7,6]=>1
[1,3,2,5,4,6,7]=>[1,2,3,4,5,6,7]=>0
[1,3,2,5,4,7,6]=>[1,2,3,4,5,6,7]=>0
[1,3,2,5,6,4,7]=>[1,2,3,4,5,6,7]=>0
[1,3,2,5,6,7,4]=>[1,2,3,4,5,6,7]=>0
[1,3,2,5,7,4,6]=>[1,2,3,4,5,7,6]=>1
[1,3,2,5,7,6,4]=>[1,2,3,4,5,7,6]=>1
[1,3,2,6,4,5,7]=>[1,2,3,4,6,5,7]=>1
[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>1
[1,3,2,6,7,4,5]=>[1,2,3,4,6,5,7]=>1
[1,3,2,6,7,5,4]=>[1,2,3,4,6,5,7]=>1
[1,3,4,2,5,6,7]=>[1,2,3,4,5,6,7]=>0
[1,3,4,2,5,7,6]=>[1,2,3,4,5,6,7]=>0
[1,3,4,2,6,5,7]=>[1,2,3,4,5,6,7]=>0
[1,3,4,2,6,7,5]=>[1,2,3,4,5,6,7]=>0
[1,3,4,2,7,5,6]=>[1,2,3,4,5,7,6]=>1
[1,3,4,2,7,6,5]=>[1,2,3,4,5,7,6]=>1
[1,3,4,5,2,6,7]=>[1,2,3,4,5,6,7]=>0
[1,3,4,5,2,7,6]=>[1,2,3,4,5,6,7]=>0
[1,3,4,5,6,2,7]=>[1,2,3,4,5,6,7]=>0
[1,3,4,5,6,7,2]=>[1,2,3,4,5,6,7]=>0
[1,3,4,5,7,2,6]=>[1,2,3,4,5,7,6]=>1
[1,3,4,5,7,6,2]=>[1,2,3,4,5,7,6]=>1
[1,3,4,6,2,5,7]=>[1,2,3,4,6,5,7]=>1
[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>1
[1,3,4,6,7,2,5]=>[1,2,3,4,6,5,7]=>1
[1,3,4,6,7,5,2]=>[1,2,3,4,6,5,7]=>1
[1,3,6,7,2,4,5]=>[1,2,3,6,4,7,5]=>3
[1,3,6,7,4,2,5]=>[1,2,3,6,4,7,5]=>3
[1,3,6,7,5,2,4]=>[1,2,3,6,4,7,5]=>3
[1,3,6,7,5,4,2]=>[1,2,3,6,4,7,5]=>3
[1,6,2,7,4,3,5]=>[1,2,6,3,4,7,5]=>4
[1,6,2,7,5,3,4]=>[1,2,6,3,4,7,5]=>4
[1,6,3,7,4,2,5]=>[1,2,6,3,4,7,5]=>4
[1,6,3,7,5,2,4]=>[1,2,6,3,4,7,5]=>4
[1,6,4,7,2,3,5]=>[1,2,6,3,4,7,5]=>4
[1,6,4,7,3,2,5]=>[1,2,6,3,4,7,5]=>4
[1,6,4,7,5,2,3]=>[1,2,6,3,4,7,5]=>4
[1,6,4,7,5,3,2]=>[1,2,6,3,4,7,5]=>4
[2,1,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[2,1,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>0
[2,1,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>0
[2,1,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>0
[2,1,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>1
[2,1,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>1
[2,1,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>0
[2,1,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>0
[2,1,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>0
[2,1,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>0
[2,1,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>1
[2,1,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>1
[2,1,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>1
[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>1
[2,1,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>1
[2,1,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>1
[2,1,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>0
[2,1,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>0
[2,1,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>0
[2,1,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>0
[2,1,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>1
[2,1,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>1
[2,1,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>0
[2,1,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>0
[2,1,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>0
[2,1,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>0
[2,1,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>1
[2,1,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>1
[2,1,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>1
[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>1
[2,1,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>1
[2,1,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>1
[2,1,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>3
[2,1,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>3
[2,1,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>3
[2,1,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>3
[2,3,1,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[2,3,1,4,5,7,6]=>[1,2,3,4,5,6,7]=>0
[2,3,1,4,6,5,7]=>[1,2,3,4,5,6,7]=>0
[2,3,1,4,6,7,5]=>[1,2,3,4,5,6,7]=>0
[2,3,1,4,7,5,6]=>[1,2,3,4,5,7,6]=>1
[2,3,1,4,7,6,5]=>[1,2,3,4,5,7,6]=>1
[2,3,1,5,4,6,7]=>[1,2,3,4,5,6,7]=>0
[2,3,1,5,4,7,6]=>[1,2,3,4,5,6,7]=>0
[2,3,1,5,6,4,7]=>[1,2,3,4,5,6,7]=>0
[2,3,1,5,6,7,4]=>[1,2,3,4,5,6,7]=>0
[2,3,1,5,7,4,6]=>[1,2,3,4,5,7,6]=>1
[2,3,1,5,7,6,4]=>[1,2,3,4,5,7,6]=>1
[2,3,1,6,4,5,7]=>[1,2,3,4,6,5,7]=>1
[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>1
[2,3,1,6,7,4,5]=>[1,2,3,4,6,5,7]=>1
[2,3,1,6,7,5,4]=>[1,2,3,4,6,5,7]=>1
[2,3,4,1,5,6,7]=>[1,2,3,4,5,6,7]=>0
[2,3,4,1,5,7,6]=>[1,2,3,4,5,6,7]=>0
[2,3,4,1,6,5,7]=>[1,2,3,4,5,6,7]=>0
[2,3,4,1,6,7,5]=>[1,2,3,4,5,6,7]=>0
[2,3,4,1,7,5,6]=>[1,2,3,4,5,7,6]=>1
[2,3,4,1,7,6,5]=>[1,2,3,4,5,7,6]=>1
[2,3,4,5,1,6,7]=>[1,2,3,4,5,6,7]=>0
[2,3,4,5,1,7,6]=>[1,2,3,4,5,6,7]=>0
[2,3,4,5,6,1,7]=>[1,2,3,4,5,6,7]=>0
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>0
[2,3,4,5,7,1,6]=>[1,2,3,4,5,7,6]=>1
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>1
[2,3,4,6,1,5,7]=>[1,2,3,4,6,5,7]=>1
[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>1
[2,3,4,6,7,1,5]=>[1,2,3,4,6,5,7]=>1
[2,3,4,6,7,5,1]=>[1,2,3,4,6,5,7]=>1
[2,3,6,7,1,4,5]=>[1,2,3,6,4,7,5]=>3
[2,3,6,7,4,1,5]=>[1,2,3,6,4,7,5]=>3
[2,3,6,7,5,1,4]=>[1,2,3,6,4,7,5]=>3
[2,3,6,7,5,4,1]=>[1,2,3,6,4,7,5]=>3
[2,6,1,7,4,3,5]=>[1,2,6,3,4,7,5]=>4
[2,6,1,7,5,3,4]=>[1,2,6,3,4,7,5]=>4
[2,6,3,7,4,1,5]=>[1,2,6,3,4,7,5]=>4
[2,6,3,7,5,1,4]=>[1,2,6,3,4,7,5]=>4
[2,6,4,7,1,3,5]=>[1,2,6,3,4,7,5]=>4
[2,6,4,7,3,1,5]=>[1,2,6,3,4,7,5]=>4
[2,6,4,7,5,1,3]=>[1,2,6,3,4,7,5]=>4
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>4
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>1
[3,1,2,4,5,7,6]=>[1,3,2,4,5,6,7]=>1
[3,1,2,4,6,5,7]=>[1,3,2,4,5,6,7]=>1
[3,1,2,4,6,7,5]=>[1,3,2,4,5,6,7]=>1
[3,1,2,5,4,6,7]=>[1,3,2,4,5,6,7]=>1
[3,1,2,5,4,7,6]=>[1,3,2,4,5,6,7]=>1
[3,1,2,5,6,4,7]=>[1,3,2,4,5,6,7]=>1
[3,1,2,5,6,7,4]=>[1,3,2,4,5,6,7]=>1
[3,1,7,2,4,5,6]=>[1,3,7,6,5,4,2]=>11
[3,1,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>5
[3,1,7,4,6,5,2]=>[1,3,7,2,4,5,6]=>5
[3,1,7,5,4,6,2]=>[1,3,7,2,4,5,6]=>5
[3,1,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>5
[3,2,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>1
[3,2,1,4,5,7,6]=>[1,3,2,4,5,6,7]=>1
[3,2,1,4,6,5,7]=>[1,3,2,4,5,6,7]=>1
[3,2,1,4,6,7,5]=>[1,3,2,4,5,6,7]=>1
[3,2,1,5,4,6,7]=>[1,3,2,4,5,6,7]=>1
[3,2,1,5,4,7,6]=>[1,3,2,4,5,6,7]=>1
[3,2,1,5,6,4,7]=>[1,3,2,4,5,6,7]=>1
[3,2,1,5,6,7,4]=>[1,3,2,4,5,6,7]=>1
[3,2,7,1,4,5,6]=>[1,3,7,6,5,4,2]=>11
[3,2,7,4,5,6,1]=>[1,3,7,2,4,5,6]=>5
[3,2,7,4,6,5,1]=>[1,3,7,2,4,5,6]=>5
[3,2,7,5,4,6,1]=>[1,3,7,2,4,5,6]=>5
[3,2,7,5,6,4,1]=>[1,3,7,2,4,5,6]=>5
[3,4,1,2,5,6,7]=>[1,3,2,4,5,6,7]=>1
[3,4,1,2,5,7,6]=>[1,3,2,4,5,6,7]=>1
[3,4,1,2,6,5,7]=>[1,3,2,4,5,6,7]=>1
[3,4,1,2,6,7,5]=>[1,3,2,4,5,6,7]=>1
[3,4,1,5,2,6,7]=>[1,3,2,4,5,6,7]=>1
[3,4,1,5,2,7,6]=>[1,3,2,4,5,6,7]=>1
[3,4,1,5,6,2,7]=>[1,3,2,4,5,6,7]=>1
[3,4,1,5,6,7,2]=>[1,3,2,4,5,6,7]=>1
[3,4,2,1,5,6,7]=>[1,3,2,4,5,6,7]=>1
[3,4,2,1,5,7,6]=>[1,3,2,4,5,6,7]=>1
[3,4,2,1,6,5,7]=>[1,3,2,4,5,6,7]=>1
[3,4,2,1,6,7,5]=>[1,3,2,4,5,6,7]=>1
[3,4,2,5,1,6,7]=>[1,3,2,4,5,6,7]=>1
[3,4,2,5,1,7,6]=>[1,3,2,4,5,6,7]=>1
[3,4,2,5,6,1,7]=>[1,3,2,4,5,6,7]=>1
[3,4,2,5,6,7,1]=>[1,3,2,4,5,6,7]=>1
[3,4,7,1,5,6,2]=>[1,3,7,2,4,5,6]=>5
[3,4,7,1,6,5,2]=>[1,3,7,2,4,5,6]=>5
[3,4,7,2,5,6,1]=>[1,3,7,2,4,5,6]=>5
[3,4,7,2,6,5,1]=>[1,3,7,2,4,5,6]=>5
[3,4,7,5,1,6,2]=>[1,3,7,2,4,5,6]=>5
[3,4,7,5,2,6,1]=>[1,3,7,2,4,5,6]=>5
[3,4,7,5,6,1,2]=>[1,3,7,2,4,5,6]=>5
[3,4,7,5,6,2,1]=>[1,3,7,2,4,5,6]=>5
[4,1,2,6,3,7,5]=>[1,4,6,7,5,3,2]=>11
[4,1,2,7,3,5,6]=>[1,4,7,6,5,3,2]=>12
[4,1,3,6,5,7,2]=>[1,4,6,7,2,3,5]=>8
[4,1,3,7,5,6,2]=>[1,4,7,2,3,5,6]=>6
[4,1,3,7,6,5,2]=>[1,4,7,2,3,5,6]=>6
[4,1,5,6,3,7,2]=>[1,4,6,7,2,3,5]=>8
[4,1,5,7,3,6,2]=>[1,4,7,2,3,5,6]=>6
[4,1,5,7,6,3,2]=>[1,4,7,2,3,5,6]=>6
[4,2,1,6,3,7,5]=>[1,4,6,7,5,3,2]=>11
[4,2,1,7,3,5,6]=>[1,4,7,6,5,3,2]=>12
[4,2,3,6,5,7,1]=>[1,4,6,7,2,3,5]=>8
[4,2,3,7,5,6,1]=>[1,4,7,2,3,5,6]=>6
[4,2,3,7,6,5,1]=>[1,4,7,2,3,5,6]=>6
[4,2,5,6,3,7,1]=>[1,4,6,7,2,3,5]=>8
[4,2,5,7,3,6,1]=>[1,4,7,2,3,5,6]=>6
[4,2,5,7,6,3,1]=>[1,4,7,2,3,5,6]=>6
[4,3,1,6,5,7,2]=>[1,4,6,7,2,3,5]=>8
[4,3,1,7,5,6,2]=>[1,4,7,2,3,5,6]=>6
[4,3,1,7,6,5,2]=>[1,4,7,2,3,5,6]=>6
[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>8
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>6
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>6
[4,3,5,6,1,7,2]=>[1,4,6,7,2,3,5]=>8
[4,3,5,6,2,7,1]=>[1,4,6,7,2,3,5]=>8
[4,3,5,7,1,6,2]=>[1,4,7,2,3,5,6]=>6
[4,3,5,7,2,6,1]=>[1,4,7,2,3,5,6]=>6
[4,3,5,7,6,1,2]=>[1,4,7,2,3,5,6]=>6
[4,3,5,7,6,2,1]=>[1,4,7,2,3,5,6]=>6
[5,1,2,3,6,7,4]=>[1,5,6,7,4,3,2]=>12
[5,1,2,3,7,4,6]=>[1,5,7,6,4,3,2]=>13
[5,1,2,7,4,3,6]=>[1,5,4,7,6,3,2]=>11
[5,1,2,7,6,4,3]=>[1,5,6,4,7,3,2]=>11
[5,1,3,4,6,7,2]=>[1,5,6,7,2,3,4]=>9
[5,1,3,4,7,6,2]=>[1,5,7,2,3,4,6]=>7
[5,1,3,6,7,4,2]=>[1,5,7,2,3,4,6]=>7
[5,1,3,7,2,4,6]=>[1,5,2,3,4,7,6]=>4
[5,1,3,7,2,6,4]=>[1,5,2,3,4,7,6]=>4
[5,1,4,3,6,7,2]=>[1,5,6,7,2,3,4]=>9
[5,1,4,3,7,6,2]=>[1,5,7,2,3,4,6]=>7
[5,1,4,6,7,3,2]=>[1,5,7,2,3,4,6]=>7
[5,1,4,7,2,3,6]=>[1,5,2,3,4,7,6]=>4
[5,1,4,7,2,6,3]=>[1,5,2,3,4,7,6]=>4
[5,2,1,3,6,7,4]=>[1,5,6,7,4,3,2]=>12
[5,2,1,3,7,4,6]=>[1,5,7,6,4,3,2]=>13
[5,2,1,7,4,3,6]=>[1,5,4,7,6,3,2]=>11
[5,2,1,7,6,4,3]=>[1,5,6,4,7,3,2]=>11
[5,2,3,4,6,7,1]=>[1,5,6,7,2,3,4]=>9
[5,2,3,4,7,6,1]=>[1,5,7,2,3,4,6]=>7
[5,2,3,6,7,4,1]=>[1,5,7,2,3,4,6]=>7
[5,2,3,7,1,4,6]=>[1,5,2,3,4,7,6]=>4
[5,2,3,7,1,6,4]=>[1,5,2,3,4,7,6]=>4
[5,2,4,3,6,7,1]=>[1,5,6,7,2,3,4]=>9
[5,2,4,3,7,6,1]=>[1,5,7,2,3,4,6]=>7
[5,2,4,6,7,3,1]=>[1,5,7,2,3,4,6]=>7
[5,2,4,7,1,3,6]=>[1,5,2,3,4,7,6]=>4
[5,2,4,7,1,6,3]=>[1,5,2,3,4,7,6]=>4
[5,3,1,4,6,7,2]=>[1,5,6,7,2,3,4]=>9
[5,3,1,4,7,6,2]=>[1,5,7,2,3,4,6]=>7
[5,3,1,6,7,4,2]=>[1,5,7,2,3,4,6]=>7
[5,3,1,7,2,4,6]=>[1,5,2,3,4,7,6]=>4
[5,3,1,7,2,6,4]=>[1,5,2,3,4,7,6]=>4
[5,3,2,4,6,7,1]=>[1,5,6,7,2,3,4]=>9
[5,3,2,4,7,6,1]=>[1,5,7,2,3,4,6]=>7
[5,3,2,6,7,4,1]=>[1,5,7,2,3,4,6]=>7
[5,3,2,7,1,4,6]=>[1,5,2,3,4,7,6]=>4
[5,3,2,7,1,6,4]=>[1,5,2,3,4,7,6]=>4
[5,3,4,1,6,7,2]=>[1,5,6,7,2,3,4]=>9
[5,3,4,1,7,6,2]=>[1,5,7,2,3,4,6]=>7
[5,3,4,2,6,7,1]=>[1,5,6,7,2,3,4]=>9
[5,3,4,2,7,6,1]=>[1,5,7,2,3,4,6]=>7
[5,3,4,6,7,1,2]=>[1,5,7,2,3,4,6]=>7
[5,3,4,6,7,2,1]=>[1,5,7,2,3,4,6]=>7
[5,3,4,7,1,2,6]=>[1,5,2,3,4,7,6]=>4
[5,3,4,7,1,6,2]=>[1,5,2,3,4,7,6]=>4
[5,3,4,7,2,1,6]=>[1,5,2,3,4,7,6]=>4
[5,3,4,7,2,6,1]=>[1,5,2,3,4,7,6]=>4
[5,7,1,4,2,6,3]=>[1,5,2,7,3,4,6]=>6
[5,7,1,4,6,2,3]=>[1,5,6,2,7,3,4]=>8
[5,7,1,6,2,4,3]=>[1,5,2,7,3,4,6]=>6
[5,7,2,4,1,6,3]=>[1,5,2,7,3,4,6]=>6
[5,7,2,4,6,1,3]=>[1,5,6,2,7,3,4]=>8
[5,7,2,6,1,4,3]=>[1,5,2,7,3,4,6]=>6
[5,7,3,4,1,6,2]=>[1,5,2,7,3,4,6]=>6
[5,7,3,4,2,6,1]=>[1,5,2,7,3,4,6]=>6
[5,7,3,4,6,1,2]=>[1,5,6,2,7,3,4]=>8
[5,7,3,4,6,2,1]=>[1,5,6,2,7,3,4]=>8
[5,7,3,6,1,4,2]=>[1,5,2,7,3,4,6]=>6
[5,7,3,6,2,4,1]=>[1,5,2,7,3,4,6]=>6
[5,7,4,1,2,6,3]=>[1,5,2,7,3,4,6]=>6
[5,7,4,1,6,2,3]=>[1,5,6,2,7,3,4]=>8
[5,7,4,2,1,6,3]=>[1,5,2,7,3,4,6]=>6
[5,7,4,2,6,1,3]=>[1,5,6,2,7,3,4]=>8
[5,7,4,3,1,6,2]=>[1,5,2,7,3,4,6]=>6
[5,7,4,3,2,6,1]=>[1,5,2,7,3,4,6]=>6
[5,7,4,3,6,1,2]=>[1,5,6,2,7,3,4]=>8
[5,7,4,3,6,2,1]=>[1,5,6,2,7,3,4]=>8
[5,7,4,6,1,2,3]=>[1,5,2,7,3,4,6]=>6
[5,7,4,6,1,3,2]=>[1,5,2,7,3,4,6]=>6
[5,7,4,6,2,1,3]=>[1,5,2,7,3,4,6]=>6
[5,7,4,6,2,3,1]=>[1,5,2,7,3,4,6]=>6
[6,1,2,3,4,7,5]=>[1,6,7,5,4,3,2]=>14
[6,1,2,3,7,5,4]=>[1,6,5,7,4,3,2]=>13
[6,1,2,7,4,5,3]=>[1,6,5,4,7,3,2]=>12
[6,1,3,4,5,7,2]=>[1,6,7,2,3,4,5]=>8
[6,1,3,5,4,7,2]=>[1,6,7,2,3,4,5]=>8
[6,1,3,7,4,2,5]=>[1,6,2,3,4,7,5]=>5
[6,1,3,7,5,2,4]=>[1,6,2,3,4,7,5]=>5
[6,1,4,3,5,7,2]=>[1,6,7,2,3,4,5]=>8
[6,1,4,5,3,7,2]=>[1,6,7,2,3,4,5]=>8
[6,1,4,7,3,2,5]=>[1,6,2,3,4,7,5]=>5
[6,1,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>5
[6,1,7,3,4,5,2]=>[1,6,5,4,3,7,2]=>11
[6,1,7,3,5,2,4]=>[1,6,2,3,7,4,5]=>6
[6,1,7,4,5,2,3]=>[1,6,2,3,7,4,5]=>6
[6,1,7,5,3,2,4]=>[1,6,2,3,7,4,5]=>6
[6,1,7,5,4,2,3]=>[1,6,2,3,7,4,5]=>6
[6,2,1,3,4,7,5]=>[1,6,7,5,4,3,2]=>14
[6,2,1,3,7,5,4]=>[1,6,5,7,4,3,2]=>13
[6,2,1,7,4,5,3]=>[1,6,5,4,7,3,2]=>12
[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>8
[6,2,3,5,4,7,1]=>[1,6,7,2,3,4,5]=>8
[6,2,3,7,4,1,5]=>[1,6,2,3,4,7,5]=>5
[6,2,3,7,5,1,4]=>[1,6,2,3,4,7,5]=>5
[6,2,4,3,5,7,1]=>[1,6,7,2,3,4,5]=>8
[6,2,4,5,3,7,1]=>[1,6,7,2,3,4,5]=>8
[6,2,4,7,3,1,5]=>[1,6,2,3,4,7,5]=>5
[6,2,4,7,5,1,3]=>[1,6,2,3,4,7,5]=>5
[6,2,7,3,4,5,1]=>[1,6,5,4,3,7,2]=>11
[6,2,7,3,5,1,4]=>[1,6,2,3,7,4,5]=>6
[6,2,7,4,5,1,3]=>[1,6,2,3,7,4,5]=>6
[6,2,7,5,3,1,4]=>[1,6,2,3,7,4,5]=>6
[6,2,7,5,4,1,3]=>[1,6,2,3,7,4,5]=>6
[6,3,1,4,5,7,2]=>[1,6,7,2,3,4,5]=>8
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>8
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>5
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>5
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>8
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>8
[6,3,2,7,4,1,5]=>[1,6,2,3,4,7,5]=>5
[6,3,2,7,5,1,4]=>[1,6,2,3,4,7,5]=>5
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>8
[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>8
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>8
[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>8
[6,3,4,7,1,2,5]=>[1,6,2,3,4,7,5]=>5
[6,3,4,7,2,1,5]=>[1,6,2,3,4,7,5]=>5
[6,3,4,7,5,1,2]=>[1,6,2,3,4,7,5]=>5
[6,3,4,7,5,2,1]=>[1,6,2,3,4,7,5]=>5
[6,3,7,1,5,2,4]=>[1,6,2,3,7,4,5]=>6
[6,3,7,2,5,1,4]=>[1,6,2,3,7,4,5]=>6
[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>6
[6,3,7,4,5,2,1]=>[1,6,2,3,7,4,5]=>6
[6,3,7,5,1,2,4]=>[1,6,2,3,7,4,5]=>6
[6,3,7,5,2,1,4]=>[1,6,2,3,7,4,5]=>6
[6,3,7,5,4,1,2]=>[1,6,2,3,7,4,5]=>6
[6,3,7,5,4,2,1]=>[1,6,2,3,7,4,5]=>6
[6,7,1,4,5,2,3]=>[1,6,2,7,3,4,5]=>7
[6,7,1,5,4,2,3]=>[1,6,2,7,3,4,5]=>7
[6,7,2,4,5,1,3]=>[1,6,2,7,3,4,5]=>7
[6,7,2,5,4,1,3]=>[1,6,2,7,3,4,5]=>7
[6,7,3,4,5,1,2]=>[1,6,2,7,3,4,5]=>7
[6,7,3,4,5,2,1]=>[1,6,2,7,3,4,5]=>7
[6,7,3,5,4,1,2]=>[1,6,2,7,3,4,5]=>7
[6,7,3,5,4,2,1]=>[1,6,2,7,3,4,5]=>7
[6,7,4,1,5,2,3]=>[1,6,2,7,3,4,5]=>7
[6,7,4,2,5,1,3]=>[1,6,2,7,3,4,5]=>7
[6,7,4,3,5,1,2]=>[1,6,2,7,3,4,5]=>7
[6,7,4,3,5,2,1]=>[1,6,2,7,3,4,5]=>7
[6,7,4,5,1,2,3]=>[1,6,2,7,3,4,5]=>7
[6,7,4,5,2,1,3]=>[1,6,2,7,3,4,5]=>7
[6,7,4,5,3,1,2]=>[1,6,2,7,3,4,5]=>7
[6,7,4,5,3,2,1]=>[1,6,2,7,3,4,5]=>7
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>15
[7,1,2,5,3,4,6]=>[1,7,6,4,5,3,2]=>14
[7,1,2,5,6,3,4]=>[1,7,4,5,6,3,2]=>12
[7,1,2,6,3,5,4]=>[1,7,4,6,5,3,2]=>13
[7,1,2,6,4,3,5]=>[1,7,5,4,6,3,2]=>13
[7,1,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>5
[7,1,3,4,6,5,2]=>[1,7,2,3,4,5,6]=>5
[7,1,3,5,4,6,2]=>[1,7,2,3,4,5,6]=>5
[7,1,3,5,6,4,2]=>[1,7,2,3,4,5,6]=>5
[7,1,4,3,5,6,2]=>[1,7,2,3,4,5,6]=>5
[7,1,4,3,6,5,2]=>[1,7,2,3,4,5,6]=>5
[7,1,4,5,3,6,2]=>[1,7,2,3,4,5,6]=>5
[7,1,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>5
[7,1,5,2,6,4,3]=>[1,7,3,5,6,4,2]=>11
[7,1,6,2,4,5,3]=>[1,7,3,6,5,4,2]=>12
[7,1,6,3,2,5,4]=>[1,7,4,3,6,5,2]=>11
[7,1,6,3,4,2,5]=>[1,7,5,4,3,6,2]=>12
[7,1,6,5,3,2,4]=>[1,7,4,5,3,6,2]=>11
[7,2,1,3,4,5,6]=>[1,7,6,5,4,3,2]=>15
[7,2,1,5,3,4,6]=>[1,7,6,4,5,3,2]=>14
[7,2,1,5,6,3,4]=>[1,7,4,5,6,3,2]=>12
[7,2,1,6,3,5,4]=>[1,7,4,6,5,3,2]=>13
[7,2,1,6,4,3,5]=>[1,7,5,4,6,3,2]=>13
[7,2,3,4,5,6,1]=>[1,7,2,3,4,5,6]=>5
[7,2,3,4,6,5,1]=>[1,7,2,3,4,5,6]=>5
[7,2,3,5,4,6,1]=>[1,7,2,3,4,5,6]=>5
[7,2,3,5,6,4,1]=>[1,7,2,3,4,5,6]=>5
[7,2,4,3,5,6,1]=>[1,7,2,3,4,5,6]=>5
[7,2,4,3,6,5,1]=>[1,7,2,3,4,5,6]=>5
[7,2,4,5,3,6,1]=>[1,7,2,3,4,5,6]=>5
[7,2,4,5,6,3,1]=>[1,7,2,3,4,5,6]=>5
[7,2,5,1,6,4,3]=>[1,7,3,5,6,4,2]=>11
[7,2,6,1,4,5,3]=>[1,7,3,6,5,4,2]=>12
[7,2,6,3,1,5,4]=>[1,7,4,3,6,5,2]=>11
[7,2,6,3,4,1,5]=>[1,7,5,4,3,6,2]=>12
[7,2,6,5,3,1,4]=>[1,7,4,5,3,6,2]=>11
[7,3,1,4,5,6,2]=>[1,7,2,3,4,5,6]=>5
[7,3,1,4,6,5,2]=>[1,7,2,3,4,5,6]=>5
[7,3,1,5,4,6,2]=>[1,7,2,3,4,5,6]=>5
[7,3,1,5,6,4,2]=>[1,7,2,3,4,5,6]=>5
[7,3,2,4,5,6,1]=>[1,7,2,3,4,5,6]=>5
[7,3,2,4,6,5,1]=>[1,7,2,3,4,5,6]=>5
[7,3,2,5,4,6,1]=>[1,7,2,3,4,5,6]=>5
[7,3,2,5,6,4,1]=>[1,7,2,3,4,5,6]=>5
[7,3,4,1,5,6,2]=>[1,7,2,3,4,5,6]=>5
[7,3,4,1,6,5,2]=>[1,7,2,3,4,5,6]=>5
[7,3,4,2,5,6,1]=>[1,7,2,3,4,5,6]=>5
[7,3,4,2,6,5,1]=>[1,7,2,3,4,5,6]=>5
[7,3,4,5,1,6,2]=>[1,7,2,3,4,5,6]=>5
[7,3,4,5,2,6,1]=>[1,7,2,3,4,5,6]=>5
[7,3,4,5,6,1,2]=>[1,7,2,3,4,5,6]=>5
[7,3,4,5,6,2,1]=>[1,7,2,3,4,5,6]=>5
[8,7,6,5,4,3,2,1]=>[1,8,2,7,3,6,4,5]=>12
[7,8,6,5,4,3,2,1]=>[1,7,2,8,3,6,4,5]=>11
[8,6,7,5,4,3,2,1]=>[1,8,2,6,3,7,4,5]=>11
[7,6,8,5,4,3,2,1]=>[1,7,2,6,3,8,4,5]=>10
[8,7,5,6,4,3,2,1]=>[1,8,2,7,3,5,4,6]=>11
[7,8,5,6,4,3,2,1]=>[1,7,2,8,3,5,4,6]=>10
[8,6,5,7,4,3,2,1]=>[1,8,2,6,3,5,4,7]=>10
[7,6,5,8,4,3,2,1]=>[1,7,2,6,3,5,4,8]=>9
[8,7,6,4,5,3,2,1]=>[1,8,2,7,3,6,4,5]=>12
[7,8,6,4,5,3,2,1]=>[1,7,2,8,3,6,4,5]=>11
[8,6,7,4,5,3,2,1]=>[1,8,2,6,3,7,4,5]=>11
[7,6,8,4,5,3,2,1]=>[1,7,2,6,3,8,4,5]=>10
[8,7,4,5,6,3,2,1]=>[1,8,2,7,3,4,5,6]=>10
[8,6,4,5,7,3,2,1]=>[1,8,2,6,3,4,5,7]=>9
[7,6,4,5,8,3,2,1]=>[1,7,2,6,3,4,5,8]=>8
[8,7,6,5,3,4,2,1]=>[1,8,2,7,3,6,4,5]=>12
[7,8,6,5,3,4,2,1]=>[1,7,2,8,3,6,4,5]=>11
[8,7,5,6,3,4,2,1]=>[1,8,2,7,3,5,4,6]=>11
[7,8,5,6,3,4,2,1]=>[1,7,2,8,3,5,4,6]=>10
[8,5,6,7,3,4,2,1]=>[1,8,2,5,3,6,4,7]=>9
[5,6,7,8,3,4,2,1]=>[1,5,3,7,2,6,4,8]=>8
[8,7,5,4,3,6,2,1]=>[1,8,2,7,3,5,4,6]=>11
[7,8,5,4,3,6,2,1]=>[1,7,2,8,3,5,4,6]=>10
[8,7,4,5,3,6,2,1]=>[1,8,2,7,3,4,5,6]=>10
[8,7,5,3,4,6,2,1]=>[1,8,2,7,3,5,4,6]=>11
[7,8,5,3,4,6,2,1]=>[1,7,2,8,3,5,4,6]=>10
[8,7,4,3,5,6,2,1]=>[1,8,2,7,3,4,5,6]=>10
[8,7,3,4,5,6,2,1]=>[1,8,2,7,3,4,5,6]=>10
[7,8,3,4,5,6,2,1]=>[1,7,2,8,3,4,5,6]=>9
[8,5,4,6,3,7,2,1]=>[1,8,2,5,3,4,6,7]=>8
[8,3,4,5,6,7,2,1]=>[1,8,2,3,4,5,6,7]=>6
[7,5,4,6,3,8,2,1]=>[1,7,2,5,3,4,6,8]=>7
[7,3,4,5,6,8,2,1]=>[1,7,2,3,4,5,6,8]=>5
[6,3,4,5,7,8,2,1]=>[1,6,8,2,3,4,5,7]=>9
[8,7,6,5,4,2,3,1]=>[1,8,2,7,3,6,4,5]=>12
[8,6,7,5,4,2,3,1]=>[1,8,2,6,3,7,4,5]=>11
[8,7,5,6,4,2,3,1]=>[1,8,2,7,3,5,4,6]=>11
[8,6,5,7,4,2,3,1]=>[1,8,2,6,3,5,4,7]=>10
[6,7,5,8,4,2,3,1]=>[1,6,2,7,3,5,4,8]=>8
[8,7,6,4,5,2,3,1]=>[1,8,2,7,3,6,4,5]=>12
[8,6,7,4,5,2,3,1]=>[1,8,2,6,3,7,4,5]=>11
[6,7,8,4,5,2,3,1]=>[1,6,2,7,3,8,4,5]=>9
[8,7,4,5,6,2,3,1]=>[1,8,2,7,3,4,5,6]=>10
[8,6,4,5,7,2,3,1]=>[1,8,2,6,3,4,5,7]=>9
[6,7,4,5,8,2,3,1]=>[1,6,2,7,3,4,5,8]=>7
[8,6,7,5,3,2,4,1]=>[1,8,2,6,3,7,4,5]=>11
[8,6,5,7,3,2,4,1]=>[1,8,2,6,3,5,4,7]=>10
[8,5,6,7,3,2,4,1]=>[1,8,2,5,3,6,4,7]=>9
[8,6,7,5,2,3,4,1]=>[1,8,2,6,3,7,4,5]=>11
[8,6,5,7,2,3,4,1]=>[1,8,2,6,3,5,4,7]=>10
[8,5,6,7,2,3,4,1]=>[1,8,2,5,3,6,4,7]=>9
[5,6,7,8,2,3,4,1]=>[1,5,2,6,3,7,4,8]=>6
[8,6,5,4,3,2,7,1]=>[1,8,2,6,3,5,4,7]=>10
[8,5,6,4,3,2,7,1]=>[1,8,2,5,3,6,4,7]=>9
[8,6,4,5,3,2,7,1]=>[1,8,2,6,3,4,5,7]=>9
[8,5,4,6,3,2,7,1]=>[1,8,2,5,3,4,6,7]=>8
[8,6,5,3,4,2,7,1]=>[1,8,2,6,3,5,4,7]=>10
[8,6,4,3,5,2,7,1]=>[1,8,2,6,3,4,5,7]=>9
[8,6,3,4,5,2,7,1]=>[1,8,2,6,3,4,5,7]=>9
[8,4,5,3,6,2,7,1]=>[1,8,2,4,3,5,6,7]=>7
[8,3,4,5,6,2,7,1]=>[1,8,2,3,4,5,6,7]=>6
[8,6,5,4,2,3,7,1]=>[1,8,2,6,3,5,4,7]=>10
[8,5,6,4,2,3,7,1]=>[1,8,2,5,3,6,4,7]=>9
[8,6,4,5,2,3,7,1]=>[1,8,2,6,3,4,5,7]=>9
[8,5,4,3,2,6,7,1]=>[1,8,2,5,3,4,6,7]=>8
[8,4,5,3,2,6,7,1]=>[1,8,2,4,3,5,6,7]=>7
[8,5,3,4,2,6,7,1]=>[1,8,2,5,3,4,6,7]=>8
[8,3,4,5,2,6,7,1]=>[1,8,2,3,4,5,6,7]=>6
[8,5,4,2,3,6,7,1]=>[1,8,2,5,3,4,6,7]=>8
[8,4,5,2,3,6,7,1]=>[1,8,2,4,3,5,6,7]=>7
[8,4,3,2,5,6,7,1]=>[1,8,2,4,3,5,6,7]=>7
[8,3,4,2,5,6,7,1]=>[1,8,2,3,4,5,6,7]=>6
[8,4,2,3,5,6,7,1]=>[1,8,2,4,3,5,6,7]=>7
[8,3,2,4,5,6,7,1]=>[1,8,2,3,4,5,6,7]=>6
[8,2,3,4,5,6,7,1]=>[1,8,2,3,4,5,6,7]=>6
[6,5,4,7,3,2,8,1]=>[1,6,2,5,3,4,7,8]=>6
[7,3,4,5,6,2,8,1]=>[1,7,8,2,3,4,5,6]=>10
[6,4,5,3,7,2,8,1]=>[1,6,2,4,3,5,7,8]=>5
[6,3,4,5,7,2,8,1]=>[1,6,2,3,4,5,7,8]=>4
[5,6,4,7,2,3,8,1]=>[1,5,2,6,3,4,7,8]=>5
[7,3,2,4,5,6,8,1]=>[1,7,8,2,3,4,5,6]=>10
[7,2,3,4,5,6,8,1]=>[1,7,8,2,3,4,5,6]=>10
[5,4,6,3,2,7,8,1]=>[1,5,2,4,3,6,7,8]=>4
[6,3,4,5,2,7,8,1]=>[1,6,7,8,2,3,4,5]=>12
[4,5,6,2,3,7,8,1]=>[1,4,2,5,3,6,7,8]=>3
[6,2,3,4,5,7,8,1]=>[1,6,7,8,2,3,4,5]=>12
[4,3,5,2,6,7,8,1]=>[1,4,2,3,5,6,7,8]=>2
[3,4,2,5,6,7,8,1]=>[1,3,2,4,5,6,7,8]=>1
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,5,4,3,1,2]=>[1,8,2,7,3,6,4,5]=>12
[7,8,6,5,4,3,1,2]=>[1,7,2,8,3,6,4,5]=>11
[8,6,7,5,4,3,1,2]=>[1,8,2,6,3,7,4,5]=>11
[7,6,8,5,4,3,1,2]=>[1,7,2,6,3,8,4,5]=>10
[8,7,5,6,4,3,1,2]=>[1,8,2,7,3,5,4,6]=>11
[7,8,5,6,4,3,1,2]=>[1,7,2,8,3,5,4,6]=>10
[8,6,5,7,4,3,1,2]=>[1,8,2,6,3,5,4,7]=>10
[7,6,5,8,4,3,1,2]=>[1,7,2,6,3,5,4,8]=>9
[8,7,6,4,5,3,1,2]=>[1,8,2,7,3,6,4,5]=>12
[7,8,6,4,5,3,1,2]=>[1,7,2,8,3,6,4,5]=>11
[8,6,7,4,5,3,1,2]=>[1,8,2,6,3,7,4,5]=>11
[7,8,4,5,6,3,1,2]=>[1,7,2,8,3,4,5,6]=>9
[8,6,4,5,7,3,1,2]=>[1,8,2,6,3,4,5,7]=>9
[7,6,4,5,8,3,1,2]=>[1,7,2,6,3,4,5,8]=>8
[8,7,6,5,3,4,1,2]=>[1,8,2,7,3,6,4,5]=>12
[7,8,6,5,3,4,1,2]=>[1,7,2,8,3,6,4,5]=>11
[8,7,5,6,3,4,1,2]=>[1,8,2,7,3,5,4,6]=>11
[7,8,5,6,3,4,1,2]=>[1,7,2,8,3,5,4,6]=>10
[8,5,6,7,3,4,1,2]=>[1,8,2,5,3,6,4,7]=>9
[7,5,6,8,3,4,1,2]=>[1,7,2,5,3,6,4,8]=>8
[5,6,7,8,3,4,1,2]=>[1,5,3,7,2,6,4,8]=>8
[7,8,5,4,3,6,1,2]=>[1,7,2,8,3,5,4,6]=>10
[8,7,4,5,3,6,1,2]=>[1,8,2,7,3,4,5,6]=>10
[7,8,4,5,3,6,1,2]=>[1,7,2,8,3,4,5,6]=>9
[7,8,5,3,4,6,1,2]=>[1,7,2,8,3,5,4,6]=>10
[8,7,4,3,5,6,1,2]=>[1,8,2,7,3,4,5,6]=>10
[7,8,4,3,5,6,1,2]=>[1,7,2,8,3,4,5,6]=>9
[8,7,3,4,5,6,1,2]=>[1,8,2,7,3,4,5,6]=>10
[7,8,3,4,5,6,1,2]=>[1,7,2,8,3,4,5,6]=>9
[8,5,4,6,3,7,1,2]=>[1,8,2,5,3,4,6,7]=>8
[8,3,4,5,6,7,1,2]=>[1,8,2,3,4,5,6,7]=>6
[7,5,4,6,3,8,1,2]=>[1,7,2,5,3,4,6,8]=>7
[7,4,5,3,6,8,1,2]=>[1,7,2,4,3,5,6,8]=>6
[7,3,4,5,6,8,1,2]=>[1,7,2,3,4,5,6,8]=>5
[6,3,4,5,7,8,1,2]=>[1,6,8,2,3,4,5,7]=>9
[7,8,6,5,4,2,1,3]=>[1,7,2,8,3,6,4,5]=>11
[7,6,8,5,4,2,1,3]=>[1,7,2,6,3,8,4,5]=>10
[6,7,8,5,4,2,1,3]=>[1,6,2,7,3,8,4,5]=>9
[7,8,5,6,4,2,1,3]=>[1,7,2,8,3,5,4,6]=>10
[7,6,5,8,4,2,1,3]=>[1,7,2,6,3,5,4,8]=>9
[6,7,5,8,4,2,1,3]=>[1,6,2,7,3,5,4,8]=>8
[7,6,8,4,5,2,1,3]=>[1,7,2,6,3,8,4,5]=>10
[7,6,4,5,8,2,1,3]=>[1,7,2,6,3,4,5,8]=>8
[7,8,6,5,4,1,2,3]=>[1,7,2,8,3,6,4,5]=>11
[7,6,8,5,4,1,2,3]=>[1,7,2,6,3,8,4,5]=>10
[6,7,8,5,4,1,2,3]=>[1,6,2,7,3,8,4,5]=>9
[7,8,5,6,4,1,2,3]=>[1,7,2,8,3,5,4,6]=>10
[7,6,5,8,4,1,2,3]=>[1,7,2,6,3,5,4,8]=>9
[6,7,5,8,4,1,2,3]=>[1,6,2,7,3,5,4,8]=>8
[6,7,8,4,5,1,2,3]=>[1,6,2,7,3,8,4,5]=>9
[7,8,4,5,6,1,2,3]=>[1,7,2,8,3,4,5,6]=>9
[7,6,4,5,8,1,2,3]=>[1,7,2,6,3,4,5,8]=>8
[6,7,4,5,8,1,2,3]=>[1,6,2,7,3,4,5,8]=>7
[6,5,4,7,8,1,2,3]=>[1,6,2,5,8,3,4,7]=>9
[7,8,6,5,3,2,1,4]=>[1,7,2,8,4,5,3,6]=>11
[7,6,8,5,3,2,1,4]=>[1,7,2,6,3,8,4,5]=>10
[6,7,8,5,3,2,1,4]=>[1,6,2,7,3,8,4,5]=>9
[7,6,5,8,3,2,1,4]=>[1,7,2,6,3,5,4,8]=>9
[6,7,5,8,3,2,1,4]=>[1,6,2,7,3,5,4,8]=>8
[7,5,6,8,3,2,1,4]=>[1,7,2,5,3,6,4,8]=>8
[6,5,7,8,3,2,1,4]=>[1,6,2,5,3,7,4,8]=>7
[5,6,7,8,3,2,1,4]=>[1,5,3,7,2,6,4,8]=>8
[7,8,6,5,2,3,1,4]=>[1,7,2,8,4,5,3,6]=>11
[7,6,8,5,2,3,1,4]=>[1,7,2,6,3,8,4,5]=>10
[7,6,5,8,2,3,1,4]=>[1,7,2,6,3,5,4,8]=>9
[7,5,6,8,2,3,1,4]=>[1,7,2,5,3,6,4,8]=>8
[5,6,7,8,2,3,1,4]=>[1,5,2,6,3,7,4,8]=>6
[7,8,6,5,3,1,2,4]=>[1,7,2,8,4,5,3,6]=>11
[7,6,8,5,3,1,2,4]=>[1,7,2,6,3,8,4,5]=>10
[7,6,5,8,3,1,2,4]=>[1,7,2,6,3,5,4,8]=>9
[6,7,5,8,3,1,2,4]=>[1,6,2,7,3,5,4,8]=>8
[7,5,6,8,3,1,2,4]=>[1,7,2,5,3,6,4,8]=>8
[6,5,7,8,3,1,2,4]=>[1,6,2,5,3,7,4,8]=>7
[5,6,7,8,3,1,2,4]=>[1,5,3,7,2,6,4,8]=>8
[6,7,8,5,2,1,3,4]=>[1,6,2,7,3,8,4,5]=>9
[6,7,5,8,2,1,3,4]=>[1,6,2,7,3,5,4,8]=>8
[6,5,7,8,2,1,3,4]=>[1,6,2,5,3,7,4,8]=>7
[5,6,7,8,2,1,3,4]=>[1,5,2,6,3,7,4,8]=>6
[6,7,8,5,1,2,3,4]=>[1,6,2,7,3,8,4,5]=>9
[6,7,5,8,1,2,3,4]=>[1,6,2,7,3,5,4,8]=>8
[6,5,7,8,1,2,3,4]=>[1,6,2,5,3,7,4,8]=>7
[5,6,7,8,1,2,3,4]=>[1,5,2,6,3,7,4,8]=>6
[7,6,8,3,2,1,4,5]=>[1,7,4,3,8,5,2,6]=>12
[7,6,8,3,1,2,4,5]=>[1,7,4,3,8,5,2,6]=>12
[8,3,2,1,4,5,6,7]=>[1,8,7,6,5,4,2,3]=>20
[8,2,3,1,4,5,6,7]=>[1,8,7,6,5,4,2,3]=>20
[8,3,1,2,4,5,6,7]=>[1,8,7,6,5,4,2,3]=>20
[8,2,1,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>21
[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>21
[7,6,5,4,3,2,1,8]=>[1,7,2,6,3,5,4,8]=>9
[6,7,5,4,3,2,1,8]=>[1,6,2,7,3,5,4,8]=>8
[7,5,6,4,3,2,1,8]=>[1,7,2,5,3,6,4,8]=>8
[6,5,7,4,3,2,1,8]=>[1,6,2,5,3,7,4,8]=>7
[5,6,7,4,3,2,1,8]=>[1,5,3,7,2,6,4,8]=>8
[7,6,4,5,3,2,1,8]=>[1,7,2,6,3,4,5,8]=>8
[6,7,4,5,3,2,1,8]=>[1,6,2,7,3,4,5,8]=>7
[7,5,4,6,3,2,1,8]=>[1,7,2,5,3,4,6,8]=>7
[6,5,4,7,3,2,1,8]=>[1,6,2,5,3,4,7,8]=>6
[7,6,5,3,4,2,1,8]=>[1,7,2,6,3,5,4,8]=>9
[6,7,5,3,4,2,1,8]=>[1,6,2,7,3,5,4,8]=>8
[7,6,4,3,5,2,1,8]=>[1,7,2,6,3,4,5,8]=>8
[6,7,4,3,5,2,1,8]=>[1,6,2,7,3,4,5,8]=>7
[7,6,3,4,5,2,1,8]=>[1,7,2,6,3,4,5,8]=>8
[7,4,5,3,6,2,1,8]=>[1,7,2,4,3,5,6,8]=>6
[7,3,4,5,6,2,1,8]=>[1,7,2,3,4,5,6,8]=>5
[7,6,5,4,2,3,1,8]=>[1,7,2,6,3,5,4,8]=>9
[7,5,6,4,2,3,1,8]=>[1,7,2,5,3,6,4,8]=>8
[5,6,7,4,2,3,1,8]=>[1,5,2,6,3,7,4,8]=>6
[7,6,4,5,2,3,1,8]=>[1,7,2,6,3,4,5,8]=>8
[7,5,4,6,2,3,1,8]=>[1,7,2,5,3,4,6,8]=>7
[5,6,4,7,2,3,1,8]=>[1,5,2,6,3,4,7,8]=>5
[7,5,6,2,3,4,1,8]=>[1,7,2,5,3,6,4,8]=>8
[5,6,7,2,3,4,1,8]=>[1,5,3,7,2,6,4,8]=>8
[7,5,4,3,2,6,1,8]=>[1,7,2,5,3,4,6,8]=>7
[7,4,5,3,2,6,1,8]=>[1,7,2,4,3,5,6,8]=>6
[7,5,3,4,2,6,1,8]=>[1,7,2,5,3,4,6,8]=>7
[7,5,4,2,3,6,1,8]=>[1,7,2,5,3,4,6,8]=>7
[7,4,5,2,3,6,1,8]=>[1,7,2,4,3,5,6,8]=>6
[7,4,2,3,5,6,1,8]=>[1,7,2,4,3,5,6,8]=>6
[7,2,3,4,5,6,1,8]=>[1,7,2,3,4,5,6,8]=>5
[5,4,6,3,2,7,1,8]=>[1,5,2,4,3,6,7,8]=>4
[6,3,4,5,2,7,1,8]=>[1,6,7,2,3,4,5,8]=>8
[5,3,4,6,2,7,1,8]=>[1,5,2,3,4,6,7,8]=>3
[6,3,2,4,5,7,1,8]=>[1,6,7,2,3,4,5,8]=>8
[6,2,3,4,5,7,1,8]=>[1,6,7,2,3,4,5,8]=>8
[4,3,2,5,6,7,1,8]=>[1,4,5,6,7,2,3,8]=>8
[3,4,2,5,6,7,1,8]=>[1,3,2,4,5,6,7,8]=>1
[4,2,3,5,6,7,1,8]=>[1,4,5,6,7,2,3,8]=>8
[2,3,4,5,6,7,1,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,5,4,3,1,2,8]=>[1,7,2,6,3,5,4,8]=>9
[6,7,5,4,3,1,2,8]=>[1,6,2,7,3,5,4,8]=>8
[7,5,6,4,3,1,2,8]=>[1,7,2,5,3,6,4,8]=>8
[7,6,4,5,3,1,2,8]=>[1,7,2,6,3,4,5,8]=>8
[7,6,5,3,4,1,2,8]=>[1,7,2,6,3,5,4,8]=>9
[6,7,3,4,5,1,2,8]=>[1,6,2,7,3,4,5,8]=>7
[6,4,5,3,7,1,2,8]=>[1,6,2,4,3,5,7,8]=>5
[6,3,4,5,7,1,2,8]=>[1,6,2,3,4,5,7,8]=>4
[6,5,7,4,2,1,3,8]=>[1,6,2,5,3,7,4,8]=>7
[5,6,7,4,1,2,3,8]=>[1,5,2,6,3,7,4,8]=>6
[5,6,4,7,1,2,3,8]=>[1,5,2,6,3,4,7,8]=>5
[6,5,7,2,3,1,4,8]=>[1,6,2,5,3,7,4,8]=>7
[5,6,7,3,1,2,4,8]=>[1,5,2,6,3,7,4,8]=>6
[5,6,7,2,1,3,4,8]=>[1,5,2,6,3,7,4,8]=>6
[5,6,7,1,2,3,4,8]=>[1,5,2,6,3,7,4,8]=>6
[6,5,4,3,2,1,7,8]=>[1,6,2,5,3,4,7,8]=>6
[5,6,4,3,2,1,7,8]=>[1,5,2,6,3,4,7,8]=>5
[5,4,6,3,2,1,7,8]=>[1,5,2,4,3,6,7,8]=>4
[6,5,3,4,2,1,7,8]=>[1,6,2,5,3,4,7,8]=>6
[5,6,3,4,2,1,7,8]=>[1,5,2,6,3,4,7,8]=>5
[6,3,4,5,2,1,7,8]=>[1,6,2,3,4,5,7,8]=>4
[6,4,3,2,5,1,7,8]=>[1,6,2,4,3,5,7,8]=>5
[6,2,3,4,5,1,7,8]=>[1,6,2,3,4,5,7,8]=>4
[4,3,5,2,6,1,7,8]=>[1,4,2,3,5,6,7,8]=>2
[3,4,2,5,6,1,7,8]=>[1,3,2,4,5,6,7,8]=>1
[2,3,4,5,6,1,7,8]=>[1,2,3,4,5,6,7,8]=>0
[6,5,4,3,1,2,7,8]=>[1,6,2,5,3,4,7,8]=>6
[5,6,4,3,1,2,7,8]=>[1,5,2,6,3,4,7,8]=>5
[6,4,5,3,1,2,7,8]=>[1,6,2,4,3,5,7,8]=>5
[5,4,6,3,1,2,7,8]=>[1,5,2,4,3,6,7,8]=>4
[5,6,3,4,1,2,7,8]=>[1,5,2,6,3,4,7,8]=>5
[5,6,4,2,1,3,7,8]=>[1,5,2,6,3,4,7,8]=>5
[5,4,6,2,1,3,7,8]=>[1,5,2,4,3,6,7,8]=>4
[4,5,6,2,1,3,7,8]=>[1,4,2,5,3,6,7,8]=>3
[4,5,6,1,2,3,7,8]=>[1,4,2,5,3,6,7,8]=>3
[5,4,3,2,1,6,7,8]=>[1,5,2,4,3,6,7,8]=>4
[4,5,3,2,1,6,7,8]=>[1,4,2,5,3,6,7,8]=>3
[5,3,4,2,1,6,7,8]=>[1,5,2,3,4,6,7,8]=>3
[4,3,5,2,1,6,7,8]=>[1,4,2,3,5,6,7,8]=>2
[5,4,2,3,1,6,7,8]=>[1,5,2,4,3,6,7,8]=>4
[5,3,2,4,1,6,7,8]=>[1,5,2,3,4,6,7,8]=>3
[5,2,3,4,1,6,7,8]=>[1,5,2,3,4,6,7,8]=>3
[3,4,2,5,1,6,7,8]=>[1,3,2,4,5,6,7,8]=>1
[2,3,4,5,1,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[5,4,3,1,2,6,7,8]=>[1,5,2,4,3,6,7,8]=>4
[5,3,4,1,2,6,7,8]=>[1,5,2,3,4,6,7,8]=>3
[4,3,5,1,2,6,7,8]=>[1,4,2,3,5,6,7,8]=>2
[4,5,2,1,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>3
[4,5,1,2,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>3
[4,3,2,1,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>2
[3,4,2,1,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>1
[4,2,3,1,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>2
[2,3,4,1,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[4,3,1,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>2
[3,4,1,2,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>1
[3,2,1,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>1
[2,1,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[3,4,5,6,8,7,2,1]=>[1,3,5,8,2,4,6,7]=>7
[2,3,8,7,6,5,4,1]=>[1,2,3,8,4,7,5,6]=>6
[4,3,5,2,8,7,6,1]=>[1,4,2,3,5,8,6,7]=>4
[3,4,2,5,8,7,6,1]=>[1,3,2,4,5,8,6,7]=>3
[3,4,2,5,7,8,6,1]=>[1,3,2,4,5,7,6,8]=>2
[2,3,4,5,8,7,6,1]=>[1,2,3,4,5,8,6,7]=>2
[2,3,4,5,7,8,6,1]=>[1,2,3,4,5,7,6,8]=>1
[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>1
[2,5,4,7,6,3,8,1]=>[1,2,5,6,3,4,7,8]=>4
[2,3,5,6,4,7,8,1]=>[1,2,3,5,4,6,7,8]=>1
[2,3,5,4,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>4
[1,3,8,7,6,5,4,2]=>[1,2,3,8,4,7,5,6]=>6
[1,3,7,8,6,5,4,2]=>[1,2,3,7,4,8,5,6]=>5
[1,3,4,5,8,7,6,2]=>[1,2,3,4,5,8,6,7]=>2
[1,3,4,5,7,8,6,2]=>[1,2,3,4,5,7,6,8]=>1
[1,3,4,5,6,8,7,2]=>[1,2,3,4,5,6,8,7]=>1
[1,3,6,5,7,4,8,2]=>[1,2,3,6,4,5,7,8]=>2
[1,3,5,6,4,7,8,2]=>[1,2,3,5,4,6,7,8]=>1
[1,3,5,4,6,7,8,2]=>[1,2,3,5,6,7,8,4]=>4
[1,3,4,5,6,7,8,2]=>[1,2,3,4,5,6,7,8]=>0
[2,1,8,7,6,5,4,3]=>[1,2,3,8,4,7,5,6]=>6
[2,1,7,8,6,5,4,3]=>[1,2,3,7,4,8,5,6]=>5
[2,1,7,6,8,5,4,3]=>[1,2,3,7,4,6,5,8]=>4
[2,1,4,5,8,7,6,3]=>[1,2,3,4,5,8,6,7]=>2
[2,1,4,5,7,8,6,3]=>[1,2,3,4,5,7,6,8]=>1
[2,1,4,5,6,8,7,3]=>[1,2,3,4,5,6,8,7]=>1
[2,1,6,5,7,4,8,3]=>[1,2,3,6,4,5,7,8]=>2
[2,1,5,6,4,7,8,3]=>[1,2,3,5,4,6,7,8]=>1
[2,1,5,4,6,7,8,3]=>[1,2,3,5,6,7,8,4]=>4
[2,1,4,5,6,7,8,3]=>[1,2,3,4,5,6,7,8]=>0
[1,2,8,7,6,5,4,3]=>[1,2,3,8,4,7,5,6]=>6
[1,2,7,8,6,5,4,3]=>[1,2,3,7,4,8,5,6]=>5
[1,2,7,6,8,5,4,3]=>[1,2,3,7,4,6,5,8]=>4
[1,2,4,5,8,7,6,3]=>[1,2,3,4,5,8,6,7]=>2
[1,2,4,5,7,8,6,3]=>[1,2,3,4,5,7,6,8]=>1
[1,2,4,5,6,8,7,3]=>[1,2,3,4,5,6,8,7]=>1
[1,2,5,6,4,7,8,3]=>[1,2,3,5,4,6,7,8]=>1
[1,2,5,4,6,7,8,3]=>[1,2,3,5,6,7,8,4]=>4
[1,2,4,5,6,7,8,3]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,5,8,7,6,4]=>[1,3,2,4,5,8,6,7]=>3
[3,2,1,5,7,8,6,4]=>[1,3,2,4,5,7,6,8]=>2
[3,2,1,5,6,7,8,4]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,5,7,8,6,4]=>[1,2,3,4,5,7,6,8]=>1
[2,3,1,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,5,8,7,6,4]=>[1,2,3,4,5,8,6,7]=>2
[1,3,2,5,7,8,6,4]=>[1,2,3,4,5,7,6,8]=>1
[1,3,2,5,6,8,7,4]=>[1,2,3,4,5,6,8,7]=>1
[1,3,2,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,5,8,7,6,4]=>[1,2,3,4,5,8,6,7]=>2
[1,2,3,5,7,8,6,4]=>[1,2,3,4,5,7,6,8]=>1
[1,2,3,5,6,8,7,4]=>[1,2,3,4,5,6,8,7]=>1
[1,2,3,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>0
[4,3,2,1,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>4
[4,3,2,1,7,8,6,5]=>[1,4,2,3,5,7,6,8]=>3
[4,3,2,1,6,7,8,5]=>[1,4,2,3,5,6,7,8]=>2
[3,4,2,1,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>3
[3,4,2,1,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>2
[3,4,2,1,6,7,8,5]=>[1,3,2,4,5,6,7,8]=>1
[2,3,4,1,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>2
[2,3,4,1,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>1
[2,3,4,1,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>1
[2,3,4,1,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>0
[1,3,4,2,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>2
[1,3,4,2,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>1
[1,3,4,2,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>1
[1,3,4,2,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>0
[2,1,4,3,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>2
[2,1,4,3,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>1
[2,1,4,3,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>1
[2,1,4,3,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>0
[1,2,4,3,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>2
[1,2,4,3,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>1
[1,2,4,3,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>1
[1,2,4,3,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,4,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>3
[3,2,1,4,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>2
[3,2,1,4,6,7,8,5]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,4,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>2
[2,3,1,4,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>1
[2,3,1,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,4,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>2
[1,3,2,4,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>1
[1,3,2,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,4,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>2
[2,1,3,4,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>1
[2,1,3,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,4,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>2
[1,2,3,4,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>1
[1,2,3,4,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>1
[1,2,3,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>0
[5,4,3,2,1,7,8,6]=>[1,5,2,4,3,6,7,8]=>4
[3,4,2,5,1,7,8,6]=>[1,3,2,4,5,6,7,8]=>1
[2,3,4,5,1,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[2,3,4,5,1,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[1,3,5,4,2,7,8,6]=>[1,2,3,5,4,6,7,8]=>1
[1,3,4,5,2,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[1,3,4,5,2,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[2,1,4,5,3,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[1,2,5,4,3,7,8,6]=>[1,2,3,5,4,6,7,8]=>1
[1,2,4,5,3,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[1,2,4,5,3,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,5,4,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[1,3,2,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,5,4,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[2,1,3,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,5,4,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[1,2,3,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[4,3,2,1,5,7,8,6]=>[1,4,2,3,5,6,7,8]=>2
[2,3,4,1,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[2,3,4,1,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[1,3,4,2,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[1,3,4,2,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[2,1,4,3,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[2,1,4,3,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[1,2,4,3,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[1,2,4,3,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,4,5,7,8,6]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,4,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[1,3,2,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,4,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[2,1,3,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>1
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>0
[6,5,4,3,2,1,8,7]=>[1,6,2,5,3,4,7,8]=>6
[5,6,4,3,2,1,8,7]=>[1,5,2,6,3,4,7,8]=>5
[5,4,6,3,2,1,8,7]=>[1,5,2,4,3,6,7,8]=>4
[2,3,6,5,4,1,8,7]=>[1,2,3,6,4,5,7,8]=>2
[2,3,5,6,4,1,8,7]=>[1,2,3,5,4,6,7,8]=>1
[4,3,5,2,6,1,8,7]=>[1,4,2,3,5,6,7,8]=>2
[2,5,4,3,6,1,8,7]=>[1,2,5,6,3,4,7,8]=>4
[3,4,2,5,6,1,8,7]=>[1,3,2,4,5,6,7,8]=>1
[2,3,4,5,6,1,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,3,6,5,4,2,8,7]=>[1,2,3,6,4,5,7,8]=>2
[1,3,4,5,6,2,8,7]=>[1,2,3,4,5,6,7,8]=>0
[2,1,6,5,4,3,8,7]=>[1,2,3,6,4,5,7,8]=>2
[2,1,5,6,4,3,8,7]=>[1,2,3,5,4,6,7,8]=>1
[2,1,4,5,6,3,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,2,4,5,6,3,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>0
[4,3,2,1,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>2
[3,4,2,1,6,5,8,7]=>[1,3,2,4,5,6,7,8]=>1
[2,3,4,1,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,3,4,2,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>0
[2,1,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,2,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>0
[2,3,1,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>0
[5,4,3,2,1,6,8,7]=>[1,5,2,4,3,6,7,8]=>4
[4,5,3,2,1,6,8,7]=>[1,4,2,5,3,6,7,8]=>3
[4,3,5,2,1,6,8,7]=>[1,4,2,3,5,6,7,8]=>2
[2,3,5,4,1,6,8,7]=>[1,2,3,5,4,6,7,8]=>1
[2,3,4,5,1,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,3,5,4,2,6,8,7]=>[1,2,3,5,4,6,7,8]=>1
[1,3,4,5,2,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[2,1,5,4,3,6,8,7]=>[1,2,3,5,4,6,7,8]=>1
[2,1,4,5,3,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,2,5,4,3,6,8,7]=>[1,2,3,5,4,6,7,8]=>1
[2,1,3,5,4,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,5,4,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[4,3,2,1,5,6,8,7]=>[1,4,2,3,5,6,7,8]=>2
[3,4,2,1,5,6,8,7]=>[1,3,2,4,5,6,7,8]=>1
[2,3,4,1,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,3,4,2,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[2,1,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,2,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,4,5,6,8,7]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>0
[2,5,4,7,6,3,1,8]=>[1,2,5,6,3,4,7,8]=>4
[2,3,7,6,5,4,1,8]=>[1,2,3,7,4,6,5,8]=>4
[2,3,6,7,5,4,1,8]=>[1,2,3,6,4,7,5,8]=>3
[2,3,6,5,7,4,1,8]=>[1,2,3,6,4,5,7,8]=>2
[4,3,5,2,7,6,1,8]=>[1,4,2,3,5,7,6,8]=>3
[3,4,2,5,7,6,1,8]=>[1,3,2,4,5,7,6,8]=>2
[2,3,4,5,7,6,1,8]=>[1,2,3,4,5,7,6,8]=>1
[2,3,5,6,4,7,1,8]=>[1,2,3,5,4,6,7,8]=>1
[1,5,4,7,6,3,2,8]=>[1,2,5,6,3,4,7,8]=>4
[1,3,7,6,5,4,2,8]=>[1,2,3,7,4,6,5,8]=>4
[1,3,6,7,5,4,2,8]=>[1,2,3,6,4,7,5,8]=>3
[1,3,6,5,7,4,2,8]=>[1,2,3,6,4,5,7,8]=>2
[1,3,4,5,7,6,2,8]=>[1,2,3,4,5,7,6,8]=>1
[1,3,5,6,4,7,2,8]=>[1,2,3,5,4,6,7,8]=>1
[1,3,4,5,6,7,2,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,7,6,5,4,3,8]=>[1,2,3,7,4,6,5,8]=>4
[2,1,6,7,5,4,3,8]=>[1,2,3,6,4,7,5,8]=>3
[2,1,4,5,6,7,3,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,7,6,5,4,3,8]=>[1,2,3,7,4,6,5,8]=>4
[1,2,6,7,5,4,3,8]=>[1,2,3,6,4,7,5,8]=>3
[1,2,5,6,4,7,3,8]=>[1,2,3,5,4,6,7,8]=>1
[1,2,4,5,6,7,3,8]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,5,7,6,4,8]=>[1,3,2,4,5,7,6,8]=>2
[3,2,1,5,6,7,4,8]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,5,7,6,4,8]=>[1,2,3,4,5,7,6,8]=>1
[1,3,2,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,5,7,6,4,8]=>[1,2,3,4,5,7,6,8]=>1
[1,2,3,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>0
[4,3,2,1,7,6,5,8]=>[1,4,2,3,5,7,6,8]=>3
[4,3,2,1,6,7,5,8]=>[1,4,2,3,5,6,7,8]=>2
[2,3,4,1,7,6,5,8]=>[1,2,3,4,5,7,6,8]=>1
[2,3,4,1,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,4,2,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,4,7,6,5,8]=>[1,3,2,4,5,7,6,8]=>2
[2,3,1,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,4,7,6,5,8]=>[1,2,3,4,5,7,6,8]=>1
[1,3,2,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,4,7,6,5,8]=>[1,2,3,4,5,7,6,8]=>1
[1,2,3,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>0
[5,4,3,2,1,7,6,8]=>[1,5,2,4,3,6,7,8]=>4
[4,5,3,2,1,7,6,8]=>[1,4,2,5,3,6,7,8]=>3
[2,3,5,4,1,7,6,8]=>[1,2,3,5,4,6,7,8]=>1
[3,4,2,5,1,7,6,8]=>[1,3,2,4,5,6,7,8]=>1
[2,3,4,5,1,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,5,4,2,7,6,8]=>[1,2,3,5,4,6,7,8]=>1
[1,3,4,5,2,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,5,4,3,7,6,8]=>[1,2,3,5,4,6,7,8]=>1
[1,2,4,5,3,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,5,4,7,6,8]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[4,3,2,1,5,7,6,8]=>[1,4,2,3,5,6,7,8]=>2
[2,3,4,1,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,4,2,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,4,3,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,4,5,7,6,8]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>0
[2,3,6,5,4,1,7,8]=>[1,2,3,6,4,5,7,8]=>2
[2,3,5,6,4,1,7,8]=>[1,2,3,5,4,6,7,8]=>1
[1,3,5,6,4,2,7,8]=>[1,2,3,5,4,6,7,8]=>1
[1,5,4,3,6,2,7,8]=>[1,2,5,6,3,4,7,8]=>4
[1,3,4,5,6,2,7,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,5,6,4,3,7,8]=>[1,2,3,5,4,6,7,8]=>1
[1,2,6,5,4,3,7,8]=>[1,2,3,6,4,5,7,8]=>2
[1,2,5,6,4,3,7,8]=>[1,2,3,5,4,6,7,8]=>1
[1,2,4,5,6,3,7,8]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,5,6,4,7,8]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>0
[4,3,2,1,6,5,7,8]=>[1,4,2,3,5,6,7,8]=>2
[2,3,4,1,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>0
[2,3,5,4,1,6,7,8]=>[1,2,3,5,4,6,7,8]=>1
[1,3,5,4,2,6,7,8]=>[1,2,3,5,4,6,7,8]=>1
[1,3,4,5,2,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,5,4,3,6,7,8]=>[1,2,3,5,4,6,7,8]=>1
[2,1,4,5,3,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,5,4,3,6,7,8]=>[1,2,3,5,4,6,7,8]=>1
[1,2,4,5,3,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[3,2,1,5,4,6,7,8]=>[1,3,2,4,5,6,7,8]=>1
[2,3,1,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,3,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,4,2,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[2,1,4,3,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,4,3,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,3,2,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[1,2,3,4,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>2
[1,2,3,5,8,6,7,4]=>[1,2,3,4,5,8,6,7]=>2
[1,2,4,3,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>2
[1,2,4,5,8,6,7,3]=>[1,2,3,4,5,8,6,7]=>2
[1,2,6,4,5,3,7,8]=>[1,2,3,6,4,5,7,8]=>2
[1,2,8,4,5,6,7,3]=>[1,2,3,8,4,5,6,7]=>4
[1,2,8,4,6,7,5,3]=>[1,2,3,8,4,5,6,7]=>4
[1,2,7,5,4,6,3,8]=>[1,2,3,7,4,5,6,8]=>3
[1,2,8,5,4,6,7,3]=>[1,2,3,8,4,5,6,7]=>4
[1,2,8,5,4,7,6,3]=>[1,2,3,8,4,5,6,7]=>4
[1,2,8,5,6,4,7,3]=>[1,2,3,8,4,5,6,7]=>4
[1,2,8,5,6,7,4,3]=>[1,2,3,8,4,5,6,7]=>4
[1,2,8,6,5,4,7,3]=>[1,2,3,8,4,6,5,7]=>5
[1,2,8,7,5,6,4,3]=>[1,2,3,8,4,7,5,6]=>6
[1,3,2,4,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>2
[1,3,4,2,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>2
[1,3,4,5,8,6,7,2]=>[1,2,3,4,5,8,6,7]=>2
[1,3,6,4,5,2,8,7]=>[1,2,3,6,4,5,7,8]=>2
[1,3,7,4,5,6,2,8]=>[1,2,3,7,4,5,6,8]=>3
[1,3,8,4,5,6,7,2]=>[1,2,3,8,4,5,6,7]=>4
[1,3,8,4,6,5,7,2]=>[1,2,3,8,4,5,6,7]=>4
[1,3,8,4,6,7,5,2]=>[1,2,3,8,4,5,6,7]=>4
[1,3,8,5,4,6,7,2]=>[1,2,3,8,4,5,6,7]=>4
[1,3,8,5,4,7,6,2]=>[1,2,3,8,4,5,6,7]=>4
[1,3,8,5,6,7,4,2]=>[1,2,3,8,4,5,6,7]=>4
[1,3,8,7,5,6,4,2]=>[1,2,3,8,4,7,5,6]=>6
[1,5,3,4,6,2,7,8]=>[1,2,5,6,3,4,7,8]=>4
[1,5,3,4,6,2,8,7]=>[1,2,5,6,3,4,7,8]=>4
[2,1,3,4,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>2
[2,1,3,5,8,6,7,4]=>[1,2,3,4,5,8,6,7]=>2
[2,1,4,3,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>2
[2,1,4,5,8,6,7,3]=>[1,2,3,4,5,8,6,7]=>2
[2,1,6,4,5,3,8,7]=>[1,2,3,6,4,5,7,8]=>2
[2,1,8,4,5,6,7,3]=>[1,2,3,8,4,5,6,7]=>4
[2,1,8,4,5,7,6,3]=>[1,2,3,8,4,5,6,7]=>4
[2,1,8,4,6,5,7,3]=>[1,2,3,8,4,5,6,7]=>4
[2,1,8,4,6,7,5,3]=>[1,2,3,8,4,5,6,7]=>4
[2,1,8,5,4,6,7,3]=>[1,2,3,8,4,5,6,7]=>4
[2,1,8,5,4,7,6,3]=>[1,2,3,8,4,5,6,7]=>4
[2,1,8,5,6,4,7,3]=>[1,2,3,8,4,5,6,7]=>4
[2,1,8,5,6,7,4,3]=>[1,2,3,8,4,5,6,7]=>4
[2,1,8,6,5,4,7,3]=>[1,2,3,8,4,6,5,7]=>5
[2,1,8,7,5,6,4,3]=>[1,2,3,8,4,7,5,6]=>6
[2,3,1,5,8,6,7,4]=>[1,2,3,4,5,8,6,7]=>2
[2,3,4,1,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>2
[2,3,4,5,8,6,7,1]=>[1,2,3,4,5,8,6,7]=>2
[2,3,6,4,5,1,7,8]=>[1,2,3,6,4,5,7,8]=>2
[2,3,6,4,5,1,8,7]=>[1,2,3,6,4,5,7,8]=>2
[2,3,8,4,5,6,7,1]=>[1,2,3,8,4,5,6,7]=>4
[2,3,8,4,6,7,5,1]=>[1,2,3,8,4,5,6,7]=>4
[2,3,7,5,4,6,1,8]=>[1,2,3,7,4,5,6,8]=>3
[2,3,8,5,4,6,7,1]=>[1,2,3,8,4,5,6,7]=>4
[2,3,7,5,6,4,1,8]=>[1,2,3,7,4,5,6,8]=>3
[2,3,8,5,6,4,7,1]=>[1,2,3,8,4,5,6,7]=>4
[2,3,8,5,6,7,4,1]=>[1,2,3,8,4,5,6,7]=>4
[2,3,8,6,5,4,7,1]=>[1,2,3,8,4,6,5,7]=>5
[3,2,1,4,8,6,7,5]=>[1,3,2,4,5,8,6,7]=>3
[3,2,1,5,8,6,7,4]=>[1,3,2,4,5,8,6,7]=>3
[3,2,5,4,8,6,7,1]=>[1,3,5,8,2,4,6,7]=>7
[4,2,3,1,5,7,6,8]=>[1,4,2,3,5,6,7,8]=>2
[4,2,3,1,5,7,8,6]=>[1,4,2,3,5,6,7,8]=>2
[4,2,3,1,6,5,7,8]=>[1,4,2,3,5,6,7,8]=>2
[4,2,3,1,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>2
[4,2,3,1,6,7,8,5]=>[1,4,2,3,5,6,7,8]=>2
[4,2,3,1,7,6,5,8]=>[1,4,2,3,5,7,6,8]=>3
[4,2,3,1,8,6,7,5]=>[1,4,2,3,5,8,6,7]=>4
[4,2,3,1,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>4
[5,2,3,4,1,6,8,7]=>[1,5,2,3,4,6,7,8]=>3
[5,2,3,4,1,7,8,6]=>[1,5,2,3,4,6,7,8]=>3
[5,2,3,4,8,6,7,1]=>[1,5,8,2,3,4,6,7]=>8
[5,2,3,4,8,7,6,1]=>[1,5,8,2,3,4,6,7]=>8
[6,2,3,4,5,1,8,7]=>[1,6,2,3,4,5,7,8]=>4
[6,2,3,4,5,8,7,1]=>[1,6,8,2,3,4,5,7]=>9
[8,2,3,4,5,7,6,1]=>[1,8,2,3,4,5,6,7]=>6
[7,2,3,4,6,5,1,8]=>[1,7,2,3,4,5,6,8]=>5
[6,2,3,5,4,1,7,8]=>[1,6,2,3,4,5,7,8]=>4
[6,2,3,5,4,1,8,7]=>[1,6,2,3,4,5,7,8]=>4
[6,2,3,5,4,7,1,8]=>[1,6,7,2,3,4,5,8]=>8
[6,2,3,5,4,7,8,1]=>[1,6,7,8,2,3,4,5]=>12
[7,2,3,5,4,6,1,8]=>[1,7,2,3,4,5,6,8]=>5
[8,2,3,5,4,6,7,1]=>[1,8,2,3,4,5,6,7]=>6
[8,2,3,5,4,7,6,1]=>[1,8,2,3,4,5,6,7]=>6
[7,2,3,5,6,4,1,8]=>[1,7,2,3,4,5,6,8]=>5
[8,2,3,5,6,7,4,1]=>[1,8,2,3,4,5,6,7]=>6
[7,2,3,6,5,4,1,8]=>[1,7,2,3,4,6,5,8]=>6
[8,2,3,6,5,4,7,1]=>[1,8,2,3,4,6,5,7]=>7
[8,2,3,7,5,6,4,1]=>[1,8,2,3,4,7,5,6]=>8
[8,2,3,7,6,5,4,1]=>[1,8,2,3,4,7,5,6]=>8
[5,2,4,3,1,6,7,8]=>[1,5,2,3,4,6,7,8]=>3
[5,2,4,3,1,6,8,7]=>[1,5,2,3,4,6,7,8]=>3
[5,2,4,3,1,7,6,8]=>[1,5,2,3,4,6,7,8]=>3
[5,2,4,3,8,7,6,1]=>[1,5,8,2,3,4,6,7]=>8
[6,2,4,3,5,1,8,7]=>[1,6,2,3,4,5,7,8]=>4
[7,2,4,3,6,5,1,8]=>[1,7,2,3,4,5,6,8]=>5
[7,2,4,3,6,5,8,1]=>[1,7,8,2,3,4,5,6]=>10
[8,2,4,3,6,5,7,1]=>[1,8,2,3,4,5,6,7]=>6
[8,2,4,3,6,7,5,1]=>[1,8,2,3,4,5,6,7]=>6
[6,2,4,5,3,1,7,8]=>[1,6,2,3,4,5,7,8]=>4
[6,2,4,5,3,1,8,7]=>[1,6,2,3,4,5,7,8]=>4
[6,2,4,5,3,8,7,1]=>[1,6,8,2,3,4,5,7]=>9
[7,2,4,5,3,6,1,8]=>[1,7,2,3,4,5,6,8]=>5
[7,2,4,5,3,6,8,1]=>[1,7,8,2,3,4,5,6]=>10
[8,2,4,5,3,7,6,1]=>[1,8,2,3,4,5,6,7]=>6
[8,2,4,5,6,3,7,1]=>[1,8,2,3,4,5,6,7]=>6
[8,2,4,5,6,7,3,1]=>[1,8,2,3,4,5,6,7]=>6
[7,2,4,6,5,3,1,8]=>[1,7,2,3,4,6,5,8]=>6
[8,2,4,7,5,6,3,1]=>[1,8,2,3,4,7,5,6]=>8
[8,2,4,7,6,5,3,1]=>[1,8,2,3,4,7,5,6]=>8
[4,3,2,1,8,6,7,5]=>[1,4,2,3,5,8,6,7]=>4
[5,3,2,4,1,6,8,7]=>[1,5,2,3,4,6,7,8]=>3
[5,3,2,4,1,7,6,8]=>[1,5,2,3,4,6,7,8]=>3
[8,3,2,4,6,5,7,1]=>[1,8,2,3,4,5,6,7]=>6
[8,3,2,4,6,7,5,1]=>[1,8,2,3,4,5,6,7]=>6
[6,3,2,5,4,1,7,8]=>[1,6,2,3,4,5,7,8]=>4
[6,3,2,5,4,1,8,7]=>[1,6,2,3,4,5,7,8]=>4
[6,3,2,5,4,7,1,8]=>[1,6,7,2,3,4,5,8]=>8
[6,3,2,5,4,7,8,1]=>[1,6,7,8,2,3,4,5]=>12
[6,3,2,5,4,8,7,1]=>[1,6,8,2,3,4,5,7]=>9
[7,3,2,5,4,6,1,8]=>[1,7,2,3,4,5,6,8]=>5
[8,3,2,5,4,7,6,1]=>[1,8,2,3,4,5,6,7]=>6
[7,3,2,5,6,4,8,1]=>[1,7,8,2,3,4,5,6]=>10
[8,3,2,5,6,4,7,1]=>[1,8,2,3,4,5,6,7]=>6
[8,3,2,5,6,7,4,1]=>[1,8,2,3,4,5,6,7]=>6
[8,3,2,7,5,6,4,1]=>[1,8,2,3,4,7,5,6]=>8
[8,3,2,7,6,5,4,1]=>[1,8,2,3,4,7,5,6]=>8
[5,3,4,2,1,6,8,7]=>[1,5,2,3,4,6,7,8]=>3
[5,3,4,2,1,7,8,6]=>[1,5,2,3,4,6,7,8]=>3
[5,3,4,2,8,6,7,1]=>[1,5,8,2,3,4,6,7]=>8
[6,3,4,2,5,1,8,7]=>[1,6,2,3,4,5,7,8]=>4
[7,3,4,2,6,5,1,8]=>[1,7,2,3,4,5,6,8]=>5
[7,3,4,2,6,5,8,1]=>[1,7,8,2,3,4,5,6]=>10
[8,3,4,2,6,5,7,1]=>[1,8,2,3,4,5,6,7]=>6
[6,3,4,5,2,1,8,7]=>[1,6,2,3,4,5,7,8]=>4
[6,3,4,5,2,8,7,1]=>[1,6,8,2,3,4,5,7]=>9
[8,3,4,5,2,7,6,1]=>[1,8,2,3,4,5,6,7]=>6
[7,3,4,6,5,2,1,8]=>[1,7,2,3,4,6,5,8]=>6
[8,3,4,7,6,5,2,1]=>[1,8,2,3,4,7,5,6]=>8
[6,4,3,2,5,1,8,7]=>[1,6,2,4,3,5,7,8]=>5
[8,4,3,2,5,7,6,1]=>[1,8,2,4,3,5,6,7]=>7
[7,4,3,2,6,5,1,8]=>[1,7,2,4,3,5,6,8]=>6
[8,4,3,2,6,5,7,1]=>[1,8,2,4,3,5,6,7]=>7
[8,4,3,2,6,7,5,1]=>[1,8,2,4,3,5,6,7]=>7
[6,5,3,4,2,1,8,7]=>[1,6,2,5,3,4,7,8]=>6
[8,5,3,4,2,7,6,1]=>[1,8,2,5,3,4,6,7]=>8
[8,7,3,4,6,5,2,1]=>[1,8,2,7,3,4,5,6]=>10
[7,6,3,5,4,2,1,8]=>[1,7,2,6,3,4,5,8]=>8
[8,6,3,5,4,2,7,1]=>[1,8,2,6,3,4,5,7]=>9
[8,7,3,5,4,6,2,1]=>[1,8,2,7,3,4,5,6]=>10
[8,7,3,5,6,4,2,1]=>[1,8,2,7,3,4,5,6]=>10
[8,5,4,3,2,7,6,1]=>[1,8,2,5,3,4,6,7]=>8
[8,7,4,3,6,5,2,1]=>[1,8,2,7,3,4,5,6]=>10
[2,4,6,1,3,5,8,7]=>[1,2,4,3,6,5,7,8]=>2
[2,1,4,3,6,8,5,7]=>[1,2,3,4,5,6,8,7]=>1
[2,4,6,1,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>2
[2,4,6,1,7,3,8,5]=>[1,2,4,3,6,5,7,8]=>2
[2,1,4,3,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>1
[2,1,4,5,7,8,3,6]=>[1,2,3,4,5,7,6,8]=>1
[2,1,4,3,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[2,1,4,5,6,8,3,7]=>[1,2,3,4,5,6,8,7]=>1
[2,1,5,6,3,4,8,7]=>[1,2,3,5,4,6,7,8]=>1
[2,1,5,6,3,4,7,8]=>[1,2,3,5,4,6,7,8]=>1
[2,1,5,6,3,7,4,8]=>[1,2,3,5,4,6,7,8]=>1
[2,1,5,3,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>4
[2,1,5,6,3,7,8,4]=>[1,2,3,5,4,6,7,8]=>1
[2,1,5,7,3,8,4,6]=>[1,2,3,5,4,7,6,8]=>2
[2,1,5,7,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>2
[2,3,5,1,4,7,6,8]=>[1,2,3,5,4,6,7,8]=>1
[2,3,5,7,1,4,6,8]=>[1,2,3,5,4,7,6,8]=>2
[2,3,1,5,7,8,4,6]=>[1,2,3,4,5,7,6,8]=>1
[2,3,5,7,1,8,4,6]=>[1,2,3,5,4,7,6,8]=>2
[2,1,5,3,4,6,8,7]=>[1,2,3,5,4,6,7,8]=>1
[2,3,5,6,1,4,8,7]=>[1,2,3,5,4,6,7,8]=>1
[2,1,3,5,6,8,4,7]=>[1,2,3,4,5,6,8,7]=>1
[2,3,1,5,6,8,4,7]=>[1,2,3,4,5,6,8,7]=>1
[2,1,5,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>1
[2,3,5,1,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>1
[2,3,5,6,1,4,7,8]=>[1,2,3,5,4,6,7,8]=>1
[2,3,5,6,1,7,4,8]=>[1,2,3,5,4,6,7,8]=>1
[2,3,5,1,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>4
[2,3,5,6,1,7,8,4]=>[1,2,3,5,4,6,7,8]=>1
[2,1,6,3,7,4,8,5]=>[1,2,3,6,4,5,7,8]=>2
[2,1,6,7,8,3,4,5]=>[1,2,3,6,4,7,5,8]=>3
[2,1,6,3,7,4,5,8]=>[1,2,3,6,4,5,7,8]=>2
[2,3,6,7,1,4,5,8]=>[1,2,3,6,4,7,5,8]=>3
[2,6,1,3,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>12
[2,3,6,7,8,1,4,5]=>[1,2,3,6,4,7,5,8]=>3
[2,3,4,1,6,8,5,7]=>[1,2,3,4,5,6,8,7]=>1
[2,1,3,4,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>1
[2,3,1,4,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>1
[2,3,4,1,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>1
[2,1,3,4,7,5,6,8]=>[1,2,3,4,5,7,6,8]=>1
[2,3,1,4,7,5,6,8]=>[1,2,3,4,5,7,6,8]=>1
[2,3,4,1,7,5,6,8]=>[1,2,3,4,5,7,6,8]=>1
[2,3,4,5,7,1,6,8]=>[1,2,3,4,5,7,6,8]=>1
[2,3,4,5,7,8,1,6]=>[1,2,3,4,5,7,6,8]=>1
[2,1,3,4,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[2,3,1,4,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[2,3,4,1,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[2,3,4,5,1,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[2,3,4,5,6,8,1,7]=>[1,2,3,4,5,6,8,7]=>1
[3,4,1,2,6,5,8,7]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,2,6,5,7,8]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,2,6,7,5,8]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,2,6,7,8,5]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,2,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>2
[3,4,1,2,7,5,6,8]=>[1,3,2,4,5,7,6,8]=>2
[3,4,1,2,5,7,6,8]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,5,2,7,6,8]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,5,7,2,6,8]=>[1,3,2,4,5,7,6,8]=>2
[3,4,1,2,5,7,8,6]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,5,7,8,2,6]=>[1,3,2,4,5,7,6,8]=>2
[3,4,1,2,5,6,8,7]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,5,6,2,8,7]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,5,2,6,7,8]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,5,6,2,7,8]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,5,6,7,2,8]=>[1,3,2,4,5,6,7,8]=>1
[3,4,1,5,6,7,8,2]=>[1,3,2,4,5,6,7,8]=>1
[3,5,1,6,2,4,8,7]=>[1,3,2,5,4,6,7,8]=>2
[3,5,1,6,2,4,7,8]=>[1,3,2,5,4,6,7,8]=>2
[3,5,1,6,2,7,4,8]=>[1,3,2,5,4,6,7,8]=>2
[3,5,1,6,2,7,8,4]=>[1,3,2,5,4,6,7,8]=>2
[3,1,5,2,7,4,8,6]=>[1,3,5,7,8,6,4,2]=>12
[3,5,1,7,2,8,4,6]=>[1,3,2,5,4,7,6,8]=>3
[3,5,1,7,2,4,6,8]=>[1,3,2,5,4,7,6,8]=>3
[3,5,1,2,4,7,6,8]=>[1,3,2,5,4,6,7,8]=>2
[3,1,2,5,4,7,6,8]=>[1,3,2,4,5,6,7,8]=>1
[1,3,5,2,4,7,6,8]=>[1,2,3,5,4,6,7,8]=>1
[3,1,2,5,7,4,6,8]=>[1,3,2,4,5,7,6,8]=>2
[1,3,2,5,7,4,6,8]=>[1,2,3,4,5,7,6,8]=>1
[1,3,5,7,2,4,6,8]=>[1,2,3,5,4,7,6,8]=>2
[3,5,1,2,4,7,8,6]=>[1,3,2,5,4,6,7,8]=>2
[1,3,5,2,4,7,8,6]=>[1,2,3,5,4,6,7,8]=>1
[3,1,2,5,7,8,4,6]=>[1,3,2,4,5,7,6,8]=>2
[1,3,2,5,7,8,4,6]=>[1,2,3,4,5,7,6,8]=>1
[1,3,5,7,2,8,4,6]=>[1,2,3,5,4,7,6,8]=>2
[1,3,2,5,4,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[3,5,1,2,4,6,8,7]=>[1,3,2,5,4,6,7,8]=>2
[3,1,2,5,4,6,8,7]=>[1,3,2,4,5,6,7,8]=>1
[1,3,5,2,4,6,8,7]=>[1,2,3,5,4,6,7,8]=>1
[1,3,5,6,2,4,8,7]=>[1,2,3,5,4,6,7,8]=>1
[3,5,1,2,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>2
[1,3,5,2,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>1
[3,1,2,5,6,4,7,8]=>[1,3,2,4,5,6,7,8]=>1
[1,3,5,6,2,4,7,8]=>[1,2,3,5,4,6,7,8]=>1
[3,1,2,5,6,7,4,8]=>[1,3,2,4,5,6,7,8]=>1
[1,3,5,6,2,7,4,8]=>[1,2,3,5,4,6,7,8]=>1
[3,1,2,5,6,7,8,4]=>[1,3,2,4,5,6,7,8]=>1
[1,3,5,2,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>4
[1,3,5,6,2,7,8,4]=>[1,2,3,5,4,6,7,8]=>1
[3,6,1,2,7,4,8,5]=>[1,3,2,6,4,5,7,8]=>3
[3,6,1,7,8,2,4,5]=>[1,3,2,6,4,7,5,8]=>4
[1,3,6,2,7,4,5,8]=>[1,2,3,6,4,5,7,8]=>2
[1,3,6,2,7,4,8,5]=>[1,2,3,6,4,5,7,8]=>2
[1,3,6,7,8,2,4,5]=>[1,2,3,6,4,7,5,8]=>3
[3,1,2,4,6,5,8,7]=>[1,3,2,4,5,6,7,8]=>1
[1,3,2,4,6,8,5,7]=>[1,2,3,4,5,6,8,7]=>1
[3,1,2,4,6,7,5,8]=>[1,3,2,4,5,6,7,8]=>1
[3,1,2,4,6,7,8,5]=>[1,3,2,4,5,6,7,8]=>1
[3,1,2,4,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>2
[1,3,2,4,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>1
[1,3,4,2,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>1
[3,1,2,4,7,5,6,8]=>[1,3,2,4,5,7,6,8]=>2
[3,1,2,4,5,7,6,8]=>[1,3,2,4,5,6,7,8]=>1
[1,3,4,5,7,2,6,8]=>[1,2,3,4,5,7,6,8]=>1
[3,1,2,4,5,7,8,6]=>[1,3,2,4,5,6,7,8]=>1
[1,3,4,5,7,8,2,6]=>[1,2,3,4,5,7,6,8]=>1
[1,3,2,4,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[1,3,4,2,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[1,3,4,5,2,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[3,1,2,4,5,6,8,7]=>[1,3,2,4,5,6,7,8]=>1
[1,3,4,5,6,8,2,7]=>[1,2,3,4,5,6,8,7]=>1
[4,1,5,2,6,3,8,7]=>[1,4,2,3,5,6,7,8]=>2
[4,5,6,1,2,3,8,7]=>[1,4,2,5,3,6,7,8]=>3
[4,1,5,2,6,3,7,8]=>[1,4,2,3,5,6,7,8]=>2
[4,5,6,1,2,7,3,8]=>[1,4,2,5,3,6,7,8]=>3
[4,1,5,2,6,7,8,3]=>[1,4,2,3,5,6,7,8]=>2
[4,5,6,1,2,7,8,3]=>[1,4,2,5,3,6,7,8]=>3
[4,1,5,2,7,8,3,6]=>[1,4,2,3,5,7,6,8]=>3
[4,5,7,1,2,8,3,6]=>[1,4,2,5,3,7,6,8]=>4
[4,1,5,2,7,3,6,8]=>[1,4,2,3,5,7,6,8]=>3
[4,1,5,2,3,7,6,8]=>[1,4,2,3,5,6,7,8]=>2
[4,5,1,2,3,7,6,8]=>[1,4,2,5,3,6,7,8]=>3
[4,1,5,2,3,7,8,6]=>[1,4,2,3,5,6,7,8]=>2
[4,5,1,2,3,6,8,7]=>[1,4,2,5,3,6,7,8]=>3
[4,1,5,2,3,6,7,8]=>[1,4,2,3,5,6,7,8]=>2
[4,6,7,1,8,2,3,5]=>[1,4,2,6,3,7,5,8]=>5
[4,6,1,2,7,3,5,8]=>[1,4,2,6,3,5,7,8]=>4
[4,6,7,1,2,3,5,8]=>[1,4,2,6,3,7,5,8]=>5
[1,4,6,2,7,3,5,8]=>[1,2,4,3,6,5,7,8]=>2
[1,4,6,2,7,3,8,5]=>[1,2,4,3,6,5,7,8]=>2
[1,4,6,2,3,5,8,7]=>[1,2,4,3,6,5,7,8]=>2
[1,2,4,3,6,8,5,7]=>[1,2,3,4,5,6,8,7]=>1
[1,4,6,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>2
[4,1,7,2,3,8,5,6]=>[1,4,2,3,7,5,6,8]=>4
[1,2,4,3,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>1
[1,2,4,3,7,5,6,8]=>[1,2,3,4,5,7,6,8]=>1
[1,2,4,5,7,3,6,8]=>[1,2,3,4,5,7,6,8]=>1
[1,2,4,5,7,8,3,6]=>[1,2,3,4,5,7,6,8]=>1
[1,2,4,3,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[1,2,4,5,3,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[1,2,4,5,6,8,3,7]=>[1,2,3,4,5,6,8,7]=>1
[5,6,1,7,2,3,8,4]=>[1,5,2,6,3,4,7,8]=>5
[5,6,1,7,2,3,4,8]=>[1,5,2,6,3,4,7,8]=>5
[1,2,5,6,3,4,8,7]=>[1,2,3,5,4,6,7,8]=>1
[1,2,5,6,3,4,7,8]=>[1,2,3,5,4,6,7,8]=>1
[1,2,5,6,3,7,4,8]=>[1,2,3,5,4,6,7,8]=>1
[1,2,5,3,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>4
[1,2,5,6,3,7,8,4]=>[1,2,3,5,4,6,7,8]=>1
[1,2,5,7,3,8,4,6]=>[1,2,3,5,4,7,6,8]=>2
[1,2,5,7,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>2
[1,2,5,3,4,7,6,8]=>[1,2,3,5,4,6,7,8]=>1
[1,2,3,5,7,4,6,8]=>[1,2,3,4,5,7,6,8]=>1
[1,2,5,3,4,7,8,6]=>[1,2,3,5,4,6,7,8]=>1
[1,2,3,5,7,8,4,6]=>[1,2,3,4,5,7,6,8]=>1
[5,1,2,3,8,4,6,7]=>[1,5,8,7,6,4,3,2]=>18
[1,2,3,5,4,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[1,2,5,3,4,6,8,7]=>[1,2,3,5,4,6,7,8]=>1
[1,2,3,5,6,8,4,7]=>[1,2,3,4,5,6,8,7]=>1
[1,2,5,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>1
[6,1,7,2,3,8,4,5]=>[1,6,8,5,3,7,4,2]=>16
[1,2,6,3,7,4,8,5]=>[1,2,3,6,4,5,7,8]=>2
[1,2,6,7,8,3,4,5]=>[1,2,3,6,4,7,5,8]=>3
[1,2,6,3,7,4,5,8]=>[1,2,3,6,4,5,7,8]=>2
[1,2,6,7,3,4,5,8]=>[1,2,3,6,4,7,5,8]=>3
[6,1,2,3,4,7,8,5]=>[1,6,7,8,5,4,3,2]=>18
[1,6,2,3,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>12
[6,1,2,3,4,8,5,7]=>[1,6,8,7,5,4,3,2]=>19
[1,2,3,4,6,8,5,7]=>[1,2,3,4,5,6,8,7]=>1
[7,1,2,3,4,5,8,6]=>[1,7,8,6,5,4,3,2]=>20
[1,2,3,4,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>1
[1,2,3,4,7,5,6,8]=>[1,2,3,4,5,7,6,8]=>1
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>1
[5,3,2,6,1,4,8,7]=>[1,5,2,3,4,6,7,8]=>3
[7,3,2,5,4,8,1,6]=>[1,7,2,3,4,5,6,8]=>5
[8,4,5,2,3,7,6,1]=>[1,8,2,4,3,5,6,7]=>7
[7,4,5,2,3,8,1,6]=>[1,7,2,4,3,5,6,8]=>6
[6,4,5,2,3,1,8,7]=>[1,6,2,4,3,5,7,8]=>5
[5,4,6,2,1,3,8,7]=>[1,5,2,4,3,6,7,8]=>4
[3,6,1,5,4,2,8,7]=>[1,3,2,6,4,5,7,8]=>3
[4,6,5,1,3,2,8,7]=>[1,4,2,6,3,5,7,8]=>4
[5,6,4,3,1,2,8,7]=>[1,5,2,6,3,4,7,8]=>5
[7,5,4,3,2,8,1,6]=>[1,7,2,5,3,4,6,8]=>7
[8,6,4,3,7,2,5,1]=>[1,8,2,6,3,4,5,7]=>9
[7,6,4,3,8,2,1,5]=>[1,7,2,6,3,4,5,8]=>8
[6,7,4,3,8,1,2,5]=>[1,6,2,7,3,4,5,8]=>7
[5,7,4,3,1,8,2,6]=>[1,5,2,7,3,4,6,8]=>6
[4,7,5,1,3,8,2,6]=>[1,4,2,7,3,5,6,8]=>5
[3,7,1,5,4,8,2,6]=>[1,3,2,7,4,5,6,8]=>4
[2,1,7,5,4,8,3,6]=>[1,2,3,7,4,5,6,8]=>3
[3,8,1,5,4,7,6,2]=>[1,3,2,8,4,5,6,7]=>5
[4,8,5,1,3,7,6,2]=>[1,4,2,8,3,5,6,7]=>6
[5,8,4,3,1,7,6,2]=>[1,5,2,8,3,4,6,7]=>7
[6,8,4,3,7,1,5,2]=>[1,6,2,8,3,4,5,7]=>8
[7,8,4,3,6,5,1,2]=>[1,7,2,8,3,4,5,6]=>9
[6,8,5,7,3,1,4,2]=>[1,6,2,8,3,5,4,7]=>9
[5,8,6,7,1,3,4,2]=>[1,5,2,8,3,6,4,7]=>8
[4,8,6,1,7,3,5,2]=>[1,4,2,8,3,6,5,7]=>7
[3,8,1,6,7,4,5,2]=>[1,3,2,8,4,6,5,7]=>6
[2,1,8,6,7,4,5,3]=>[1,2,3,8,4,6,5,7]=>5
[2,1,7,6,8,4,3,5]=>[1,2,3,7,4,6,5,8]=>4
[3,7,1,6,8,4,2,5]=>[1,3,2,7,4,6,5,8]=>5
[4,7,6,1,8,3,2,5]=>[1,4,2,7,3,6,5,8]=>6
[5,7,6,8,1,3,2,4]=>[1,5,2,7,3,6,4,8]=>7
[5,4,7,2,1,8,3,6]=>[1,5,2,4,3,7,6,8]=>5
[6,4,7,2,8,1,3,5]=>[1,6,2,4,3,7,5,8]=>6
[7,4,6,2,8,3,1,5]=>[1,7,2,4,3,6,5,8]=>7
[8,4,6,2,7,3,5,1]=>[1,8,2,4,3,6,5,7]=>8
[8,3,2,6,7,4,5,1]=>[1,8,2,3,4,6,5,7]=>7
[7,3,2,6,8,4,1,5]=>[1,7,2,3,4,6,5,8]=>6
[6,3,2,7,8,1,4,5]=>[1,6,2,3,4,7,5,8]=>5
[5,3,2,7,1,8,4,6]=>[1,5,2,3,4,7,6,8]=>4
[4,3,2,1,7,8,5,6]=>[1,4,2,3,5,7,6,8]=>3
[3,4,1,2,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>3
[5,3,2,8,1,7,6,4]=>[1,5,2,3,4,8,6,7]=>5
[6,3,2,8,7,1,5,4]=>[1,6,2,3,4,8,5,7]=>6
[7,3,2,8,6,5,1,4]=>[1,7,2,3,4,8,5,6]=>7
[8,4,7,2,6,5,3,1]=>[1,8,2,4,3,7,5,6]=>9
[7,4,8,2,6,5,1,3]=>[1,7,2,4,3,8,5,6]=>8
[6,4,8,2,7,1,5,3]=>[1,6,2,4,3,8,5,7]=>7
[5,4,8,2,1,7,6,3]=>[1,5,2,4,3,8,6,7]=>6
[4,5,8,1,2,7,6,3]=>[1,4,2,5,3,8,6,7]=>5
[3,5,1,8,2,7,6,4]=>[1,3,2,5,4,8,6,7]=>4
[2,1,5,8,3,7,6,4]=>[1,2,3,5,4,8,6,7]=>3
[2,1,6,8,7,3,5,4]=>[1,2,3,6,4,8,5,7]=>4
[3,6,1,8,7,2,5,4]=>[1,3,2,6,4,8,5,7]=>5
[4,6,8,1,7,2,5,3]=>[1,4,2,6,3,8,5,7]=>6
[5,6,8,7,1,2,4,3]=>[1,5,2,6,3,8,4,7]=>7
[6,5,8,7,2,1,4,3]=>[1,6,2,5,3,8,4,7]=>8
[7,5,8,6,2,4,1,3]=>[1,7,2,5,3,8,4,6]=>9
[8,5,7,6,2,4,3,1]=>[1,8,2,5,3,7,4,6]=>10
[5,7,8,6,1,4,2,3]=>[1,5,2,7,3,8,4,6]=>8
[4,7,8,1,6,5,2,3]=>[1,4,2,7,3,8,5,6]=>7
[3,7,1,8,6,5,2,4]=>[1,3,2,7,4,8,5,6]=>6
[2,1,7,8,6,5,3,4]=>[1,2,3,7,4,8,5,6]=>5
[3,8,1,7,6,5,4,2]=>[1,3,2,8,4,7,5,6]=>7
[4,8,7,1,6,5,3,2]=>[1,4,2,8,3,7,5,6]=>8
[5,8,7,6,1,4,3,2]=>[1,5,2,8,3,7,4,6]=>9
[6,8,7,5,4,1,3,2]=>[1,6,2,8,3,7,4,5]=>10
[2,1,4,3,6,5,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,3,2,5,4,7,6,9,8,1]=>[1,10,2,3,4,5,6,7,8,9]=>8
[4,2,5,1,3,6,7,8]=>[1,4,2,3,5,6,7,8]=>2
[5,4,7,1,2,3,6,8]=>[1,5,2,4,3,7,6,8]=>5
[8,4,7,1,2,3,5,6]=>[1,8,6,3,7,5,2,4]=>16
[5,2,4,7,1,3,6,8]=>[1,5,2,3,4,7,6,8]=>4
[5,3,4,7,1,2,6,8]=>[1,5,2,3,4,7,6,8]=>4
[3,6,2,5,1,4,7,8]=>[1,3,2,6,4,5,7,8]=>3
[5,6,2,4,1,3,7,8]=>[1,5,2,6,3,4,7,8]=>5
[5,3,2,6,1,4,7,8]=>[1,5,2,3,4,6,7,8]=>3
[5,3,2,7,1,4,6,8]=>[1,5,2,3,4,7,6,8]=>4
[6,5,3,7,1,2,4,8]=>[1,6,2,5,3,4,7,8]=>6
[3,7,2,6,8,1,4,5]=>[1,3,2,7,4,6,5,8]=>5
[6,7,3,4,8,1,2,5]=>[1,6,2,7,3,4,5,8]=>7
[6,7,3,5,8,1,2,4]=>[1,6,2,7,3,4,5,8]=>7
[6,8,4,5,7,1,2,3]=>[1,6,2,8,3,4,5,7]=>8
[7,6,3,5,8,1,2,4]=>[1,7,2,6,3,4,5,8]=>8
[4,3,7,2,6,1,5,8]=>[1,4,2,3,7,5,6,8]=>4
[6,4,7,2,5,1,3,8]=>[1,6,2,4,3,7,5,8]=>6
[6,4,7,3,5,1,2,8]=>[1,6,2,4,3,7,5,8]=>6
[6,4,8,2,7,1,3,5]=>[1,6,2,4,3,8,5,7]=>7
[6,4,8,3,7,1,2,5]=>[1,6,2,4,3,8,5,7]=>7
[7,6,8,3,5,1,2,4]=>[1,7,2,6,3,8,4,5]=>10
[6,4,3,2,7,1,5,8]=>[1,6,2,4,3,5,7,8]=>5
[7,5,4,2,8,1,3,6]=>[1,7,3,4,2,5,8,6]=>8
[7,6,4,3,8,1,2,5]=>[1,7,2,6,3,4,5,8]=>8
[7,8,5,6,2,4,1,3]=>[1,7,2,8,3,5,4,6]=>10
[8,1,2,3,4,7,5,6]=>[1,8,6,7,5,4,3,2]=>20
[8,1,2,3,6,4,5,7]=>[1,8,7,5,6,4,3,2]=>20
[8,1,2,5,3,7,4,6]=>[1,8,6,7,4,5,3,2]=>19
[8,1,2,5,6,3,4,7]=>[1,8,7,4,5,6,3,2]=>18
[7,1,4,2,3,5,8,6]=>[1,7,8,6,5,3,4,2]=>19
[6,1,4,5,2,7,8,3]=>[1,6,7,8,3,4,5,2]=>15
[2,8,1,5,6,3,4,7]=>[1,2,8,7,4,5,6,3]=>12
[4,3,1,8,2,7,5,6]=>[1,4,8,6,7,5,2,3]=>15
[2,8,4,5,1,3,6,7]=>[1,2,8,7,6,3,4,5]=>12
[6,3,4,5,1,7,8,2]=>[1,6,7,8,2,3,4,5]=>12
[7,3,4,5,6,1,8,2]=>[1,7,8,2,3,4,5,6]=>10
[2,3,4,5,8,7,1,6]=>[1,2,3,4,5,8,6,7]=>2
[2,3,8,5,6,7,1,4]=>[1,2,3,8,4,5,6,7]=>4
[9,1,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>28
[8,1,2,3,4,5,6,9,7]=>[1,8,9,7,6,5,4,3,2]=>27
[7,1,2,3,4,5,9,6,8]=>[1,7,9,8,6,5,4,3,2]=>26
[9,1,2,3,6,4,5,7,8]=>[1,9,8,7,5,6,4,3,2]=>27
[8,3,4,5,6,7,1,9,2]=>[1,8,9,2,3,4,5,6,7]=>12
[2,3,4,5,6,7,9,1,8]=>[1,2,3,4,5,6,7,9,8]=>1
[9,3,4,5,6,7,8,1,2]=>[1,9,2,3,4,5,6,7,8]=>7
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>0
[]=>[]=>0
[3,5,2,6,1,4,8,7]=>[1,3,2,5,4,6,7,8]=>2
[3,5,2,6,4,1,8,7]=>[1,3,2,5,4,6,7,8]=>2
[3,5,2,7,4,8,1,6]=>[1,3,2,5,4,7,6,8]=>3
[3,5,2,7,4,8,6,1]=>[1,3,2,5,4,7,6,8]=>3
[4,5,7,2,3,8,6,1]=>[1,4,2,5,3,7,6,8]=>4
[4,5,7,2,3,8,1,6]=>[1,4,2,5,3,7,6,8]=>4
[4,5,6,2,3,1,8,7]=>[1,4,2,5,3,6,7,8]=>3
[4,5,6,2,1,3,8,7]=>[1,4,2,5,3,6,7,8]=>3
[3,5,1,6,4,2,8,7]=>[1,3,2,5,4,6,7,8]=>2
[4,5,6,1,3,2,8,7]=>[1,4,2,5,3,6,7,8]=>3
[4,5,7,1,3,8,2,6]=>[1,4,2,5,3,7,6,8]=>4
[3,5,1,7,4,8,2,6]=>[1,3,2,5,4,7,6,8]=>3
[2,1,5,7,4,8,3,6]=>[1,2,3,5,4,7,6,8]=>2
[2,1,5,7,4,8,6,3]=>[1,2,3,5,4,7,6,8]=>2
[3,5,1,7,4,8,6,2]=>[1,3,2,5,4,7,6,8]=>3
[4,5,7,1,3,8,6,2]=>[1,4,2,5,3,7,6,8]=>4
[5,6,7,8,1,3,4,2]=>[1,5,2,6,3,7,4,8]=>6
[4,6,7,1,8,3,5,2]=>[1,4,2,6,3,7,5,8]=>5
[3,6,1,7,8,4,5,2]=>[1,3,2,6,4,7,5,8]=>4
[2,1,6,7,8,4,5,3]=>[1,2,3,6,4,7,5,8]=>3
[2,1,6,7,8,4,3,5]=>[1,2,3,6,4,7,5,8]=>3
[3,6,1,7,8,4,2,5]=>[1,3,2,6,4,7,5,8]=>4
[4,6,7,1,8,3,2,5]=>[1,4,2,6,3,7,5,8]=>5
[5,6,7,8,1,3,2,4]=>[1,5,2,6,3,7,4,8]=>6
[4,5,7,2,1,8,3,6]=>[1,4,2,5,3,7,6,8]=>4
[4,6,7,2,8,1,3,5]=>[1,4,2,6,3,7,5,8]=>5
[4,6,7,2,8,3,1,5]=>[1,4,2,6,3,7,5,8]=>5
[4,6,7,2,8,3,5,1]=>[1,4,2,6,3,7,5,8]=>5
[3,6,2,7,8,4,5,1]=>[1,3,2,6,4,7,5,8]=>4
[3,6,2,7,8,4,1,5]=>[1,3,2,6,4,7,5,8]=>4
[3,6,2,7,8,1,4,5]=>[1,3,2,6,4,7,5,8]=>4
[3,5,2,7,1,8,4,6]=>[1,3,2,5,4,7,6,8]=>3
[3,4,2,1,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>2
[3,4,1,2,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>2
[3,5,2,7,1,8,6,4]=>[1,3,2,5,4,7,6,8]=>3
[3,6,2,7,8,1,5,4]=>[1,3,2,6,4,7,5,8]=>4
[4,6,7,2,8,1,5,3]=>[1,4,2,6,3,7,5,8]=>5
[4,5,7,2,1,8,6,3]=>[1,4,2,5,3,7,6,8]=>4
[4,5,7,1,2,8,6,3]=>[1,4,2,5,3,7,6,8]=>4
[3,5,1,7,2,8,6,4]=>[1,3,2,5,4,7,6,8]=>3
[2,1,5,7,3,8,6,4]=>[1,2,3,5,4,7,6,8]=>2
[2,1,6,7,8,3,5,4]=>[1,2,3,6,4,7,5,8]=>3
[3,6,1,7,8,2,5,4]=>[1,3,2,6,4,7,5,8]=>4
[4,6,7,1,8,2,5,3]=>[1,4,2,6,3,7,5,8]=>5
[5,6,7,8,1,2,4,3]=>[1,5,2,6,3,7,4,8]=>6
[5,6,7,8,2,1,4,3]=>[1,5,2,6,3,7,4,8]=>6
[1,5,4,7,6,2,3,8]=>[1,2,5,6,3,4,7,8]=>4
[2,5,4,7,6,1,8,3]=>[1,2,5,6,3,4,7,8]=>4
[5,2,3,8,1,6,7,4]=>[1,5,2,3,4,8,6,7]=>5
[6,5,8,7,1,2,3,4]=>[1,6,2,5,3,8,4,7]=>8
[6,4,8,1,7,2,3,5]=>[1,6,2,4,3,8,5,7]=>7
[5,3,1,8,2,7,4,6]=>[1,5,2,3,4,8,6,7]=>5
[4,3,1,2,8,7,5,6]=>[1,4,2,3,5,8,6,7]=>4
[4,3,1,2,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>2
[5,3,1,6,2,4,8,7]=>[1,5,2,3,4,6,7,8]=>3
[5,4,6,1,2,3,8,7]=>[1,5,2,4,3,6,7,8]=>4
[2,1,6,5,3,4,8,7]=>[1,2,3,6,4,5,7,8]=>2
[3,6,1,5,2,4,8,7]=>[1,3,2,6,4,5,7,8]=>3
[4,6,5,1,2,3,8,7]=>[1,4,2,6,3,5,7,8]=>4
[5,6,4,1,2,3,8,7]=>[1,5,2,6,3,4,7,8]=>5
[6,7,4,1,8,2,3,5]=>[1,6,2,7,3,4,5,8]=>7
[5,7,4,1,2,8,3,6]=>[1,5,2,7,3,4,6,8]=>6
[4,7,5,1,2,8,3,6]=>[1,4,2,7,3,5,6,8]=>5
[3,7,1,5,2,8,4,6]=>[1,3,2,7,4,5,6,8]=>4
[2,1,7,5,3,8,4,6]=>[1,2,3,7,4,5,6,8]=>3
[2,1,7,6,8,3,4,5]=>[1,2,3,7,4,6,5,8]=>4
[3,7,1,6,8,2,4,5]=>[1,3,2,7,4,6,5,8]=>5
[4,7,6,1,8,2,3,5]=>[1,4,2,7,3,6,5,8]=>6
[5,7,6,8,1,2,3,4]=>[1,5,2,7,3,6,4,8]=>7
[5,4,7,1,2,8,3,6]=>[1,5,2,4,3,7,6,8]=>5
[6,4,7,1,8,2,3,5]=>[1,6,2,4,3,7,5,8]=>6
[6,3,1,7,8,2,4,5]=>[1,6,2,3,4,7,5,8]=>5
[5,3,1,7,2,8,4,6]=>[1,5,2,3,4,7,6,8]=>4
[4,3,1,2,7,8,5,6]=>[1,4,2,3,5,7,6,8]=>3
[2,1,4,3,8,7,5,6]=>[1,2,3,4,5,8,6,7]=>2
[3,4,1,2,8,7,5,6]=>[1,3,2,4,5,8,6,7]=>3
[6,3,1,8,7,2,4,5]=>[1,6,2,3,4,8,5,7]=>6
[5,4,8,1,2,7,3,6]=>[1,5,2,4,3,8,6,7]=>6
[4,5,8,1,2,7,3,6]=>[1,4,2,5,3,8,6,7]=>5
[3,5,1,8,2,7,4,6]=>[1,3,2,5,4,8,6,7]=>4
[2,1,5,8,3,7,4,6]=>[1,2,3,5,4,8,6,7]=>3
[2,1,6,8,7,3,4,5]=>[1,2,3,6,4,8,5,7]=>4
[3,6,1,8,7,2,4,5]=>[1,3,2,6,4,8,5,7]=>5
[4,6,8,1,7,2,3,5]=>[1,4,2,6,3,8,5,7]=>6
[5,6,8,7,1,2,3,4]=>[1,5,2,6,3,8,4,7]=>7
[5,7,8,6,1,2,3,4]=>[1,5,2,7,3,8,4,6]=>8
[4,7,8,1,6,2,3,5]=>[1,4,2,7,3,8,5,6]=>7
[3,7,1,8,6,2,4,5]=>[1,3,2,7,4,8,5,6]=>6
[2,1,7,8,6,3,4,5]=>[1,2,3,7,4,8,5,6]=>5
[5,3,2,6,1,7,4,8]=>[1,5,2,3,4,6,7,8]=>3
[5,3,2,6,1,7,8,4]=>[1,5,2,3,4,6,7,8]=>3
[6,4,8,2,5,1,7,3]=>[1,6,2,4,3,8,5,7]=>7
[5,3,2,8,1,6,7,4]=>[1,5,2,3,4,8,6,7]=>5
[5,3,2,7,1,8,6,4]=>[1,5,2,3,4,7,6,8]=>4
[5,3,2,7,1,6,4,8]=>[1,5,2,3,4,7,6,8]=>4
[6,4,7,2,8,1,5,3]=>[1,6,2,4,3,7,5,8]=>6
[6,5,7,8,2,1,4,3]=>[1,6,2,5,3,7,4,8]=>7
[6,5,8,7,2,1,3,4]=>[1,6,2,5,3,8,4,7]=>8
[5,3,2,8,1,7,4,6]=>[1,5,2,3,4,8,6,7]=>5
[4,3,2,1,8,7,5,6]=>[1,4,2,3,5,8,6,7]=>4
[4,3,2,1,7,5,6,8]=>[1,4,2,3,5,7,6,8]=>3
[4,3,2,1,8,5,7,6]=>[1,4,2,3,5,8,6,7]=>4
[5,3,2,8,1,4,7,6]=>[1,5,2,3,4,8,6,7]=>5
[7,8,3,4,6,5,1,2]=>[1,7,2,8,3,4,5,6]=>9
[1,2,5,8,3,7,6,4]=>[1,2,3,5,4,8,6,7]=>3
[5,2,3,8,1,7,6,4]=>[1,5,2,3,4,8,6,7]=>5
[4,1,3,2,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>4
[4,3,1,2,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>4
[5,3,1,8,2,7,6,4]=>[1,5,2,3,4,8,6,7]=>5
[5,1,3,8,2,7,6,4]=>[1,5,2,3,4,8,6,7]=>5
[6,4,8,1,7,2,5,3]=>[1,6,2,4,3,8,5,7]=>7
[6,5,8,7,1,2,4,3]=>[1,6,2,5,3,8,4,7]=>8
[5,6,8,7,2,1,4,3]=>[1,5,2,6,3,8,4,7]=>7
[1,3,5,8,2,7,6,4]=>[1,2,3,5,4,8,6,7]=>3
[4,6,8,2,7,1,5,3]=>[1,4,2,6,3,8,5,7]=>6
[3,5,2,8,1,7,6,4]=>[1,3,2,5,4,8,6,7]=>4
[3,1,2,4,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>3
[2,3,5,8,1,7,6,4]=>[1,2,3,5,4,8,6,7]=>3
[4,1,3,2,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>2
[2,1,6,3,5,4,8,7]=>[1,2,3,6,4,5,7,8]=>2
[2,1,4,3,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>2
[4,1,3,2,8,5,7,6]=>[1,4,2,3,5,8,6,7]=>4
[4,1,5,2,8,3,7,6]=>[1,4,2,3,5,8,6,7]=>4
[7,4,5,3,1,8,2,6]=>[1,7,2,4,3,5,6,8]=>6
[6,4,7,1,8,2,5,3]=>[1,6,2,4,3,7,5,8]=>6
[6,3,1,7,8,2,5,4]=>[1,6,2,3,4,7,5,8]=>5
[7,1,6,8,4,2,5,3]=>[1,7,5,4,8,3,6,2]=>15
[5,1,7,2,8,4,6,3]=>[1,5,8,3,7,6,4,2]=>15
[4,2,5,1,6,3,8,7]=>[1,4,2,3,5,6,7,8]=>2
[4,3,5,1,6,2,8,7]=>[1,4,2,3,5,6,7,8]=>2
[2,1,6,4,7,3,8,5]=>[1,2,3,6,4,5,7,8]=>2
[3,2,5,1,7,4,8,6]=>[1,3,5,7,8,6,4,2]=>12
[2,1,6,5,7,3,8,4]=>[1,2,3,6,4,5,7,8]=>2
[5,4,7,3,1,8,2,6]=>[1,5,2,4,3,7,6,8]=>5
[3,6,4,1,8,7,5,2]=>[1,3,4,2,6,7,5,8]=>4
[3,8,2,4,6,7,5,1]=>[1,3,2,8,4,5,6,7]=>5
[2,1,7,8,5,6,4,3]=>[1,2,3,7,4,8,5,6]=>5
[8,7,1,5,6,4,3,2]=>[1,8,2,7,3,4,5,6]=>10
[3,6,2,4,5,1,8,7]=>[1,3,2,6,4,5,7,8]=>3
[6,3,1,4,5,2,8,7]=>[1,6,2,3,4,5,7,8]=>4
[5,8,7,4,2,6,3,1]=>[1,5,2,8,3,7,4,6]=>9
[8,5,7,4,1,6,3,2]=>[1,8,2,5,3,7,4,6]=>10
[8,4,1,3,5,6,7,2]=>[1,8,2,4,3,5,6,7]=>7
[7,5,8,4,3,6,1,2]=>[1,7,2,5,3,8,4,6]=>9
[2,1,5,8,4,6,7,3]=>[1,2,3,5,4,8,6,7]=>3
[2,3,8,1,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>4
[3,8,2,1,5,6,7,4]=>[1,3,2,8,4,5,6,7]=>5
[7,8,2,4,3,6,1,5]=>[1,7,2,8,5,3,4,6]=>11
[7,5,3,6,2,8,1,4]=>[1,7,2,5,3,4,6,8]=>7
[5,7,3,6,1,8,2,4]=>[1,5,2,7,3,4,6,8]=>6
[2,1,8,5,3,6,7,4]=>[1,2,3,8,4,5,6,7]=>4
[7,8,5,4,2,6,1,3]=>[1,7,2,8,3,5,4,6]=>10
[4,8,1,2,5,6,7,3]=>[1,4,2,8,3,5,6,7]=>6
[8,3,4,1,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>6
[6,4,3,1,7,2,8,5]=>[1,6,2,4,3,5,7,8]=>5
[7,5,4,3,1,8,2,6]=>[1,7,2,5,3,4,6,8]=>7
[7,1,3,5,8,4,2,6]=>[1,7,2,3,4,5,8,6]=>6
[7,3,1,6,8,4,2,5]=>[1,7,2,3,4,6,5,8]=>6
[5,7,4,6,2,8,3,1]=>[1,5,2,7,3,4,6,8]=>6
[2,4,6,3,7,5,8,1]=>[1,2,4,3,6,5,7,8]=>2
[2,3,8,1,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>4
[4,3,7,2,6,8,5,1]=>[1,4,2,3,7,5,6,8]=>4
[4,7,2,3,8,5,6,1]=>[1,4,3,2,7,6,5,8]=>6
[5,3,8,7,4,2,6,1]=>[1,5,4,7,6,2,3,8]=>10
[2,3,4,1,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>2
[4,1,3,2,6,7,8,5]=>[1,4,2,3,5,6,7,8]=>2
[7,8,5,6,1,4,2,3]=>[1,7,2,8,3,5,4,6]=>10
[6,3,4,1,5,7,8,2]=>[1,6,7,8,2,3,4,5]=>12
[7,5,2,6,3,8,1,4]=>[1,7,2,5,3,4,6,8]=>7
[7,5,8,4,3,6,2,1]=>[1,7,2,5,3,8,4,6]=>9
[7,5,8,6,1,4,2,3]=>[1,7,2,5,3,8,4,6]=>9
[6,5,2,7,3,1,4,8]=>[1,6,2,5,3,4,7,8]=>6
[6,5,2,7,3,1,8,4]=>[1,6,2,5,3,4,7,8]=>6
[6,3,1,4,7,2,5,8]=>[1,6,2,3,4,5,7,8]=>4
[7,8,2,5,6,4,1,3]=>[1,7,2,8,3,4,5,6]=>9
[6,3,1,8,4,2,7,5]=>[1,6,2,3,4,8,5,7]=>6
[2,1,7,5,6,8,4,3]=>[1,2,3,7,4,5,6,8]=>3
[3,7,2,8,6,4,1,5]=>[1,3,2,7,4,8,5,6]=>6
[3,8,1,7,6,4,5,2]=>[1,3,2,8,4,7,5,6]=>7
[6,3,4,5,8,7,1,2]=>[1,6,7,2,3,4,5,8]=>8
[6,1,3,4,5,8,7,2]=>[1,6,8,2,3,4,5,7]=>9
[5,7,2,4,1,6,3,8]=>[1,5,2,7,3,4,6,8]=>6
[4,1,7,2,6,5,3,8]=>[1,4,2,3,7,5,6,8]=>4
[2,1,8,7,6,5,3,4]=>[1,2,3,8,4,7,5,6]=>6
[2,1,7,6,5,3,4,8]=>[1,2,3,7,4,6,5,8]=>4
[7,5,3,6,1,8,2,4]=>[1,7,2,5,3,4,6,8]=>7
[5,7,2,6,1,8,3,4]=>[1,5,2,7,3,4,6,8]=>6
[7,3,8,5,6,1,2,4]=>[1,7,2,3,8,4,5,6]=>8
[7,4,6,3,8,1,2,5]=>[1,7,2,4,3,6,5,8]=>7
[4,6,8,2,7,1,3,5]=>[1,4,2,6,3,8,5,7]=>6
[2,3,4,5,6,7,8,1,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,6,7,8,9,1,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,6,7,1,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,6,7,8,10,1,9]=>[1,2,3,4,5,6,7,8,10,9]=>1
[2,3,4,5,6,1,9,7,8]=>[1,2,3,4,5,6,7,9,8]=>1
[3,6,2,8,7,1,4,5]=>[1,3,2,6,4,8,5,7]=>5
[7,4,8,3,2,6,1,5]=>[1,7,2,4,3,8,5,6]=>8
[6,5,3,7,8,2,4,1]=>[1,6,2,5,8,3,4,7]=>9
[7,5,8,4,1,6,2,3]=>[1,7,2,5,3,8,4,6]=>9
[6,5,3,7,1,2,8,4]=>[1,6,2,5,3,4,7,8]=>6
[5,7,8,4,1,6,2,3]=>[1,5,2,7,3,8,4,6]=>8
[5,7,8,4,1,6,3,2]=>[1,5,2,7,3,8,4,6]=>8
[5,6,8,4,2,1,7,3]=>[1,5,2,6,3,8,4,7]=>7
[6,7,8,1,5,2,3,4]=>[1,6,2,7,3,8,4,5]=>9
[5,7,8,2,1,6,3,4]=>[1,5,2,7,3,8,4,6]=>8
[5,6,8,3,2,1,7,4]=>[1,5,2,6,3,8,4,7]=>7
[5,7,8,3,1,6,2,4]=>[1,5,2,7,3,8,4,6]=>8
[1,3,7,5,2,6,4,8]=>[1,2,3,7,4,5,6,8]=>3
[7,2,8,4,5,6,1,3]=>[1,7,2,3,8,4,5,6]=>8
[6,2,3,8,5,1,7,4]=>[1,6,2,3,4,8,5,7]=>6
[7,1,3,8,4,6,2,5]=>[1,7,2,3,4,8,5,6]=>7
[2,7,3,5,8,6,1,4]=>[1,2,7,3,4,5,8,6]=>5
[5,2,4,7,1,8,3,6]=>[1,5,2,3,4,7,6,8]=>4
[5,1,4,7,2,8,6,3]=>[1,5,2,3,4,7,6,8]=>4
[6,3,4,5,7,1,8,2]=>[1,6,2,3,4,5,7,8]=>4
[6,5,4,7,2,1,8,3]=>[1,6,2,5,3,4,7,8]=>6
[4,3,5,1,8,2,7,6]=>[1,4,2,3,5,8,6,7]=>4
[3,7,5,8,6,2,4,1]=>[1,3,5,6,2,7,4,8]=>6
[1,4,6,2,7,5,8,3]=>[1,2,4,3,6,5,7,8]=>2
[2,4,6,1,7,5,8,3]=>[1,2,4,3,6,5,7,8]=>2
[6,7,1,5,8,2,3,4]=>[1,6,2,7,3,4,5,8]=>7
[7,6,1,5,8,3,2,4]=>[1,7,2,6,3,4,5,8]=>8
[7,6,2,5,8,3,1,4]=>[1,7,2,6,3,4,5,8]=>8
[6,8,2,3,5,7,1,4]=>[1,6,7,2,8,4,3,5]=>12
[1,7,3,4,8,6,5,2]=>[1,2,7,5,8,3,4,6]=>9
[6,2,4,8,7,1,5,3]=>[1,6,2,3,4,8,5,7]=>6
[6,3,1,5,4,2,8,7]=>[1,6,2,3,4,5,7,8]=>4
[6,5,4,2,3,1,8,7]=>[1,6,2,5,3,4,7,8]=>6
[6,5,4,3,1,2,8,7]=>[1,6,2,5,3,4,7,8]=>6
[6,5,4,1,3,2,8,7]=>[1,6,2,5,3,4,7,8]=>6
[8,7,4,1,6,5,3,2]=>[1,8,2,7,3,4,5,6]=>10
[8,5,4,1,3,7,6,2]=>[1,8,2,5,3,4,6,7]=>8
[8,5,4,3,1,7,6,2]=>[1,8,2,5,3,4,6,7]=>8
[2,1,8,5,3,7,6,4]=>[1,2,3,8,4,5,6,7]=>4
[2,1,8,7,6,4,5,3]=>[1,2,3,8,4,7,5,6]=>6
[8,3,2,7,6,4,5,1]=>[1,8,2,3,4,7,5,6]=>8
[8,7,6,5,2,4,3,1]=>[1,8,2,7,3,6,4,5]=>12
[8,5,4,2,3,7,6,1]=>[1,8,2,5,3,4,6,7]=>8
[8,7,4,2,6,5,3,1]=>[1,8,2,7,3,4,5,6]=>10
[8,3,1,7,6,4,5,2]=>[1,8,2,3,4,7,5,6]=>8
[8,3,1,7,6,5,4,2]=>[1,8,2,3,4,7,5,6]=>8
[8,3,1,5,4,7,6,2]=>[1,8,2,3,4,5,6,7]=>6
[8,7,4,3,6,5,1,2]=>[1,8,2,7,3,4,5,6]=>10
[8,7,6,5,1,4,3,2]=>[1,8,2,7,3,6,4,5]=>12
[8,7,6,5,4,1,3,2]=>[1,8,2,7,3,6,4,5]=>12
[2,1,8,7,6,3,5,4]=>[1,2,3,8,4,7,5,6]=>6
[7,3,1,5,8,6,2,4]=>[1,7,2,3,4,5,8,6]=>6
[7,3,1,4,8,6,2,5]=>[1,7,2,3,4,5,8,6]=>6
[7,5,1,3,8,4,2,6]=>[1,7,2,5,8,6,4,3]=>13
[7,6,1,4,8,3,2,5]=>[1,7,2,6,3,4,5,8]=>8
[8,6,7,3,5,2,4,1]=>[1,8,2,6,3,7,4,5]=>11
[6,3,4,1,5,2,8,7]=>[1,6,2,3,4,5,7,8]=>4
[4,1,7,3,6,2,8,5]=>[1,4,3,7,8,5,6,2]=>11
[8,4,7,3,6,2,5,1]=>[1,8,2,4,3,7,5,6]=>9
[8,5,6,2,3,1,7,4]=>[1,8,4,2,5,3,6,7]=>9
[4,1,5,2,8,6,7,3]=>[1,4,2,3,5,8,6,7]=>4
[2,1,8,5,6,3,7,4]=>[1,2,3,8,4,5,6,7]=>4
[3,6,1,4,7,2,5,8]=>[1,3,2,6,4,5,7,8]=>3
[7,8,2,4,5,6,1,3]=>[1,7,2,8,3,4,5,6]=>9
[7,8,3,5,6,4,1,2]=>[1,7,2,8,3,4,5,6]=>9
[7,5,3,6,2,4,1,8]=>[1,7,2,5,3,4,6,8]=>7
[4,3,8,5,6,7,1,2]=>[1,4,5,6,7,2,3,8]=>8
[4,1,8,3,6,2,5,7]=>[1,4,3,8,7,5,6,2]=>12
[7,1,3,5,6,4,2,8]=>[1,7,2,3,4,5,6,8]=>5
[7,3,1,6,4,5,2,8]=>[1,7,2,3,4,6,5,8]=>6
[7,4,6,3,1,5,2,8]=>[1,7,2,4,3,6,5,8]=>7
[2,5,3,7,6,1,8,4]=>[1,2,5,6,3,4,7,8]=>4
[5,3,4,1,8,6,7,2]=>[1,5,8,2,3,4,6,7]=>8
[5,8,7,4,1,6,2,3]=>[1,5,2,8,3,7,4,6]=>9
[3,6,2,7,5,1,4,8]=>[1,3,2,6,4,7,5,8]=>4
[6,1,3,7,5,2,4,8]=>[1,6,2,3,4,7,5,8]=>5
[2,7,4,1,5,8,6,3]=>[1,2,7,6,8,3,4,5]=>10
[2,1,6,8,3,4,7,5]=>[1,2,3,6,4,8,5,7]=>4
[5,7,4,6,2,8,1,3]=>[1,5,2,7,3,4,6,8]=>6
[5,6,3,7,1,2,4,8]=>[1,5,2,6,3,4,7,8]=>5
[3,5,1,8,2,4,7,6]=>[1,3,2,5,4,8,6,7]=>4
[1,2,8,6,5,3,7,4]=>[1,2,3,8,4,6,5,7]=>5
[1,5,2,7,6,3,8,4]=>[1,2,5,6,3,4,7,8]=>4
[1,2,8,5,3,7,6,4]=>[1,2,3,8,4,5,6,7]=>4
[1,7,4,2,8,6,3,5]=>[1,2,7,3,4,5,8,6]=>5
[7,1,8,3,2,6,4,5]=>[1,7,4,3,8,5,2,6]=>12
[5,7,8,6,2,4,1,3]=>[1,5,2,7,3,8,4,6]=>8
[5,7,1,6,2,4,3,8]=>[1,5,2,7,3,4,6,8]=>6
[8,1,4,5,3,7,6,2]=>[1,8,2,3,4,5,6,7]=>6
[6,1,4,5,3,8,7,2]=>[1,6,8,2,3,4,5,7]=>9
[6,1,4,5,3,7,8,2]=>[1,6,7,8,2,3,4,5]=>12
[7,1,4,5,3,6,8,2]=>[1,7,8,2,3,4,5,6]=>10
[8,1,4,5,3,6,7,2]=>[1,8,2,3,4,5,6,7]=>6
[5,8,7,6,2,4,1,3]=>[1,5,2,8,3,7,4,6]=>9
[2,3,8,6,1,5,7,4]=>[1,2,3,8,4,6,5,7]=>5
[2,3,8,5,6,1,7,4]=>[1,2,3,8,4,5,6,7]=>4
[7,8,1,6,3,4,2,5]=>[1,7,2,8,5,3,4,6]=>11
[2,3,4,1,8,7,5,6]=>[1,2,3,4,5,8,6,7]=>2
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[2,1,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,1,2,3,4,5,6,7,10,8]=>[1,9,10,8,7,6,5,4,3,2]=>35
[8,6,5,4,3,1,7,2]=>[1,8,2,6,3,5,4,7]=>10
[8,7,5,4,1,6,3,2]=>[1,8,2,7,3,5,4,6]=>11
[6,8,5,4,2,1,7,3]=>[1,6,2,8,3,5,4,7]=>9
[5,8,6,2,4,1,7,3]=>[1,5,4,2,8,3,6,7]=>8
[4,1,3,8,2,7,5,6]=>[1,4,8,6,7,5,2,3]=>15
[5,8,7,2,1,6,4,3]=>[1,5,2,8,3,7,4,6]=>9
[8,7,6,1,5,4,3,2]=>[1,8,2,7,3,6,4,5]=>12
[6,5,8,3,2,1,7,4]=>[1,6,2,5,3,8,4,7]=>8
[8,5,7,3,1,6,4,2]=>[1,8,2,5,3,7,4,6]=>10
[6,4,3,1,5,2,7,8]=>[1,6,2,4,3,5,7,8]=>5
[6,5,1,4,3,2,7,8]=>[1,6,2,5,3,4,7,8]=>6
[4,6,2,1,5,3,7,8]=>[1,4,2,6,3,5,7,8]=>4
[4,1,3,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>2
[5,2,7,1,8,4,6,3]=>[1,5,8,3,7,6,4,2]=>15
[6,3,8,5,2,7,4,1]=>[1,6,7,4,5,2,3,8]=>12
[6,5,2,8,4,7,3,1]=>[1,6,7,3,2,5,4,8]=>10
[6,3,4,5,8,7,2,1]=>[1,6,7,2,3,4,5,8]=>8
[4,3,8,5,6,7,2,1]=>[1,4,5,6,7,2,3,8]=>8
[3,6,4,2,8,7,5,1]=>[1,3,4,2,6,7,5,8]=>4
[5,7,4,2,1,8,3,6]=>[1,5,2,7,3,4,6,8]=>6
[7,3,1,5,8,4,2,6]=>[1,7,2,3,4,5,8,6]=>6
[2,1,8,7,5,6,3,4]=>[1,2,3,8,4,7,5,6]=>6
[3,7,1,8,5,6,2,4]=>[1,3,2,7,4,8,5,6]=>6
[3,7,2,8,5,6,1,4]=>[1,3,2,7,4,8,5,6]=>6
[3,7,2,8,4,6,1,5]=>[1,3,2,7,4,8,5,6]=>6
[3,7,1,8,4,6,2,5]=>[1,3,2,7,4,8,5,6]=>6
[5,8,6,7,2,4,1,3]=>[1,5,2,8,3,6,4,7]=>8
[5,8,6,7,1,4,2,3]=>[1,5,2,8,3,6,4,7]=>8
[4,8,1,6,2,7,3,5]=>[1,4,6,7,3,2,8,5]=>10
[4,8,2,6,1,7,3,5]=>[1,4,6,7,3,2,8,5]=>10
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,5,6,7,8,9,4]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,4,5,6,7,8,9,3]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,4,5,6,7,8,9,2]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,5,6,7,8,9,10,3]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,4,5,6,7,8,9,10,2]=>[1,2,3,4,5,6,7,8,9,10]=>0
[5,7,4,6,2,3,1,8]=>[1,5,2,7,3,4,6,8]=>6
[5,8,4,6,2,7,1,3]=>[1,5,2,8,3,4,6,7]=>7
[7,8,4,5,2,6,1,3]=>[1,7,2,8,3,4,5,6]=>9
[7,8,3,5,2,6,1,4]=>[1,7,2,8,4,5,3,6]=>11
[5,7,3,6,2,8,1,4]=>[1,5,2,7,3,4,6,8]=>6
[5,7,3,6,2,4,1,8]=>[1,5,2,7,3,4,6,8]=>6
[5,7,3,4,2,6,1,8]=>[1,5,2,7,3,4,6,8]=>6
[5,7,3,4,2,8,1,6]=>[1,5,2,7,3,4,6,8]=>6
[7,8,4,6,2,3,1,5]=>[1,7,2,8,5,3,4,6]=>11
[7,8,3,6,2,4,1,5]=>[1,7,2,8,5,3,4,6]=>11
[7,8,3,4,2,6,1,5]=>[1,7,2,8,5,3,4,6]=>11
[4,7,5,2,1,8,3,6]=>[1,4,2,7,3,5,6,8]=>5
[4,8,5,2,1,7,6,3]=>[1,4,2,8,3,5,6,7]=>6
[4,6,5,2,1,3,8,7]=>[1,4,2,6,3,5,7,8]=>4
[6,4,5,3,1,2,8,7]=>[1,6,2,4,3,5,7,8]=>5
[4,6,8,1,7,3,2,5]=>[1,4,2,6,3,8,5,7]=>6
[8,4,5,3,1,7,6,2]=>[1,8,2,4,3,5,6,7]=>7
[5,6,8,7,2,1,3,4]=>[1,5,2,6,3,8,4,7]=>7
[2,1,6,8,7,4,3,5]=>[1,2,3,6,4,8,5,7]=>4
[5,7,8,6,2,3,1,4]=>[1,5,2,7,3,8,4,6]=>8
[6,8,7,5,3,2,4,1]=>[1,6,2,8,3,7,4,5]=>10
[4,8,7,2,6,3,5,1]=>[1,4,2,8,3,7,5,6]=>8
[3,6,1,8,7,4,2,5]=>[1,3,2,6,4,8,5,7]=>5
[3,8,1,6,7,5,2,4]=>[1,3,2,8,4,6,5,7]=>6
[4,7,6,2,8,1,3,5]=>[1,4,2,7,3,6,5,8]=>6
[2,1,8,6,7,5,3,4]=>[1,2,3,8,4,6,5,7]=>5
[8,6,5,7,4,1,3,2]=>[1,8,2,6,3,5,4,7]=>10
[7,5,6,8,1,4,2,3]=>[1,7,2,5,3,6,4,8]=>8
[6,5,7,8,1,2,4,3]=>[1,6,2,5,3,7,4,8]=>7
[8,1,3,7,4,6,5,2]=>[1,8,2,3,4,7,5,6]=>8
[8,1,3,5,4,7,6,2]=>[1,8,2,3,4,5,6,7]=>6
[7,1,4,3,5,6,8,2]=>[1,7,8,2,3,4,5,6]=>10
[8,1,3,4,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>6
[1,2,6,3,5,4,7,8]=>[1,2,3,6,4,5,7,8]=>2
[3,8,2,6,1,5,7,4]=>[1,3,2,8,4,6,5,7]=>6
[8,2,7,4,1,3,5,6]=>[1,8,6,3,7,5,2,4]=>16
[1,7,4,5,3,8,6,2]=>[1,2,7,6,8,3,4,5]=>10
[4,1,5,2,8,7,3,6]=>[1,4,2,3,5,8,6,7]=>4
[5,1,4,8,2,7,3,6]=>[1,5,2,3,4,8,6,7]=>5
[5,1,4,7,2,8,3,6]=>[1,5,2,3,4,7,6,8]=>4
[10,1,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>36
[11,1,2,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>45
[5,7,8,4,2,6,1,3]=>[1,5,2,7,3,8,4,6]=>8
[5,6,3,7,2,1,4,8]=>[1,5,2,6,3,4,7,8]=>5
[5,6,3,7,2,1,8,4]=>[1,5,2,6,3,4,7,8]=>5
[5,6,3,4,1,2,8,7]=>[1,5,2,6,3,4,7,8]=>5
[8,5,7,4,2,6,3,1]=>[1,8,2,5,3,7,4,6]=>10
[7,5,8,4,2,6,1,3]=>[1,7,2,5,3,8,4,6]=>9
[2,1,7,8,5,6,3,4]=>[1,2,3,7,4,8,5,6]=>5
[3,5,2,4,1,7,6,8]=>[1,3,2,5,4,6,7,8]=>2
[4,6,3,2,5,1,7,8]=>[1,4,2,6,3,5,7,8]=>4
[4,6,7,1,3,2,5,8]=>[1,4,2,6,3,7,5,8]=>5
[3,5,1,4,2,7,6,8]=>[1,3,2,5,4,6,7,8]=>2
[5,3,1,4,2,7,6,8]=>[1,5,2,3,4,6,7,8]=>3
[4,6,3,1,5,2,7,8]=>[1,4,2,6,3,5,7,8]=>4
[3,6,4,1,2,7,5,8]=>[1,3,4,2,6,7,5,8]=>4
[4,6,3,1,7,2,5,8]=>[1,4,2,6,3,5,7,8]=>4
[5,6,2,7,1,3,4,8]=>[1,5,2,6,3,4,7,8]=>5
[4,6,7,2,3,1,5,8]=>[1,4,2,6,3,7,5,8]=>5
[4,6,2,1,7,3,5,8]=>[1,4,2,6,3,5,7,8]=>4
[3,5,2,7,4,6,1,8]=>[1,3,2,5,4,7,6,8]=>3
[7,3,1,4,6,8,2,5]=>[1,7,2,3,4,5,6,8]=>5
[6,4,5,1,7,2,3,8]=>[1,6,2,4,3,5,7,8]=>5
[4,6,5,1,7,2,3,8]=>[1,4,2,6,3,5,7,8]=>4
[3,4,6,2,8,7,5,1]=>[1,3,6,7,5,8,2,4]=>11
[3,4,6,1,8,7,5,2]=>[1,3,6,7,5,8,2,4]=>11
[3,7,1,5,6,8,2,4]=>[1,3,2,7,4,5,6,8]=>4
[8,4,6,1,7,3,5,2]=>[1,8,2,4,3,6,5,7]=>8
[7,3,2,4,8,6,1,5]=>[1,7,2,3,4,5,8,6]=>6
[3,8,2,5,1,6,7,4]=>[1,3,2,8,4,5,6,7]=>5
[4,3,7,2,6,8,1,5]=>[1,4,2,3,7,5,6,8]=>4
[6,3,2,7,8,1,5,4]=>[1,6,2,3,4,7,5,8]=>5
[3,5,2,8,1,7,4,6]=>[1,3,2,5,4,8,6,7]=>4
[8,6,7,2,5,3,4,1]=>[1,8,2,6,3,7,4,5]=>11
[6,4,5,1,3,2,8,7]=>[1,6,2,4,3,5,7,8]=>5
[8,6,7,4,5,1,3,2]=>[1,8,2,6,3,7,4,5]=>11
[8,6,7,1,5,3,4,2]=>[1,8,2,6,3,7,4,5]=>11
[8,6,7,3,5,1,4,2]=>[1,8,2,6,3,7,4,5]=>11
[4,2,3,1,8,5,7,6]=>[1,4,2,3,5,8,6,7]=>4
[4,1,3,2,8,6,7,5]=>[1,4,2,3,5,8,6,7]=>4
[2,1,8,6,7,3,5,4]=>[1,2,3,8,4,6,5,7]=>5
[8,4,7,2,6,3,5,1]=>[1,8,2,4,3,7,5,6]=>9
[8,4,7,1,6,3,5,2]=>[1,8,2,4,3,7,5,6]=>9
[8,4,7,3,6,1,5,2]=>[1,8,2,4,3,7,5,6]=>9
[6,5,8,1,3,2,7,4]=>[1,6,2,5,3,8,4,7]=>8
[6,5,8,7,3,1,2,4]=>[1,6,2,5,3,8,4,7]=>8
[2,8,3,5,4,1,6,7]=>[1,2,8,7,6,3,4,5]=>12
[2,8,4,5,3,1,6,7]=>[1,2,8,7,6,3,4,5]=>12
[7,5,8,6,3,4,2,1]=>[1,7,2,5,3,8,4,6]=>9
[2,8,4,3,5,1,6,7]=>[1,2,8,7,6,3,4,5]=>12
[2,8,3,4,5,1,6,7]=>[1,2,8,7,6,3,4,5]=>12
[1,8,4,2,5,3,6,7]=>[1,2,8,7,6,3,4,5]=>12
[7,6,1,3,2,4,8,5]=>[1,7,8,5,2,6,4,3]=>16
[1,2,7,3,5,8,4,6]=>[1,2,3,7,4,5,6,8]=>3
[1,2,5,8,3,7,4,6]=>[1,2,3,5,4,8,6,7]=>3
[7,8,3,4,1,6,2,5]=>[1,7,2,8,5,3,4,6]=>11
[5,7,3,4,1,8,2,6]=>[1,5,2,7,3,4,6,8]=>6
[5,7,3,4,1,6,2,8]=>[1,5,2,7,3,4,6,8]=>6
[9,2,1,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>28
[10,2,1,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>36
[3,6,1,4,5,2,8,7]=>[1,3,2,6,4,5,7,8]=>3
[5,8,7,4,1,6,3,2]=>[1,5,2,8,3,7,4,6]=>9
[5,8,3,6,1,4,7,2]=>[1,5,2,8,3,4,6,7]=>7
[3,8,1,2,5,6,7,4]=>[1,3,2,8,4,5,6,7]=>5
[5,8,3,6,2,4,7,1]=>[1,5,2,8,3,4,6,7]=>7
[5,8,7,4,2,6,1,3]=>[1,5,2,8,3,7,4,6]=>9
[2,1,5,8,3,6,7,4]=>[1,2,3,5,4,8,6,7]=>3
[4,8,2,1,5,6,7,3]=>[1,4,2,8,3,5,6,7]=>6
[8,3,4,7,6,1,5,2]=>[1,8,2,3,4,7,5,6]=>8
[6,7,4,5,8,1,3,2]=>[1,6,2,7,3,4,5,8]=>7
[5,8,7,1,2,6,4,3]=>[1,5,2,8,3,7,4,6]=>9
[2,3,4,5,6,7,8,9,11,1,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>1
[7,3,1,2,4,8,6,5]=>[1,7,6,8,5,4,2,3]=>18
[8,1,2,3,4,7,6,5]=>[1,8,5,4,3,2,6,7]=>12
[7,2,1,3,4,8,6,5]=>[1,7,6,8,5,4,3,2]=>19
[2,4,6,3,5,1,8,7]=>[1,2,4,3,6,5,7,8]=>2
[2,4,6,3,1,5,8,7]=>[1,2,4,3,6,5,7,8]=>2
[2,4,6,1,5,3,8,7]=>[1,2,4,3,6,5,7,8]=>2
[6,2,4,8,7,1,3,5]=>[1,6,2,3,4,8,5,7]=>6
[1,3,7,4,5,8,2,6]=>[1,2,3,7,4,5,6,8]=>3
[2,1,7,4,5,8,3,6]=>[1,2,3,7,4,5,6,8]=>3
[3,7,2,1,5,8,4,6]=>[1,3,2,7,4,5,6,8]=>4
[7,3,8,5,4,6,1,2]=>[1,7,2,3,8,4,5,6]=>8
[1,2,8,5,6,3,7,4]=>[1,2,3,8,4,5,6,7]=>4
[2,4,6,3,7,1,8,5]=>[1,2,4,3,6,5,7,8]=>2
[1,2,4,5,8,3,7,6]=>[1,2,3,4,5,8,6,7]=>2
[7,8,4,6,1,3,2,5]=>[1,7,2,8,5,3,4,6]=>11
[7,6,5,1,4,3,2,8]=>[1,7,2,6,3,5,4,8]=>9
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,7,9,8]=>1
[3,6,2,5,4,1,7,8]=>[1,3,2,6,4,5,7,8]=>3
[1,4,6,3,7,5,8,2]=>[1,2,4,3,6,5,7,8]=>2
[2,4,6,1,7,5,3,8]=>[1,2,4,3,6,5,7,8]=>2
[7,5,4,6,2,8,1,3]=>[1,7,2,5,3,4,6,8]=>7
[2,5,4,1,6,3,8,7]=>[1,2,5,6,3,4,7,8]=>4
[5,4,7,2,1,8,6,3]=>[1,5,2,4,3,7,6,8]=>5
[7,5,8,3,2,6,1,4]=>[1,7,2,5,3,8,4,6]=>9
[6,7,8,3,5,2,1,4]=>[1,6,2,7,3,8,4,5]=>9
[3,5,2,1,4,7,6,8]=>[1,3,2,5,4,6,7,8]=>2
[3,7,2,8,6,1,4,5]=>[1,3,2,7,4,8,5,6]=>6
[3,5,2,1,4,6,8,7]=>[1,3,2,5,4,6,7,8]=>2
[7,8,3,5,4,6,1,2]=>[1,7,2,8,3,4,5,6]=>9
[5,7,1,6,2,8,3,4]=>[1,5,2,7,3,4,6,8]=>6
[2,3,6,5,1,4,8,7]=>[1,2,3,6,4,5,7,8]=>2
[2,3,6,1,5,4,8,7]=>[1,2,3,6,4,5,7,8]=>2
[2,1,4,5,8,7,3,6]=>[1,2,3,4,5,8,6,7]=>2
[2,1,4,5,8,3,7,6]=>[1,2,3,4,5,8,6,7]=>2
[3,8,1,7,5,6,2,4]=>[1,3,2,8,4,7,5,6]=>7
[3,8,2,7,5,6,1,4]=>[1,3,2,8,4,7,5,6]=>7
[7,1,8,3,5,6,2,4]=>[1,7,2,3,8,4,5,6]=>8
[5,8,4,1,2,7,6,3]=>[1,5,2,8,3,4,6,7]=>7
[4,3,1,2,5,6,8,7]=>[1,4,2,3,5,6,7,8]=>2
[7,3,8,4,5,6,1,2]=>[1,7,2,3,8,4,5,6]=>8
[7,4,5,3,2,8,1,6]=>[1,7,2,4,3,5,6,8]=>6
[1,2,8,3,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>4
[7,8,4,6,3,1,2,5]=>[1,7,2,8,5,3,4,6]=>11
[3,8,2,5,6,1,7,4]=>[1,3,2,8,4,5,6,7]=>5
[6,1,3,5,4,7,8,2]=>[1,6,7,8,2,3,4,5]=>12
[4,3,1,2,6,7,8,5]=>[1,4,2,3,5,6,7,8]=>2
[7,8,5,4,1,6,2,3]=>[1,7,2,8,3,5,4,6]=>10
[6,1,4,3,5,7,8,2]=>[1,6,7,8,2,3,4,5]=>12
[6,1,3,4,5,7,8,2]=>[1,6,7,8,2,3,4,5]=>12
[3,6,2,4,7,1,5,8]=>[1,3,2,6,4,5,7,8]=>3
[7,1,3,6,8,4,2,5]=>[1,7,2,3,4,6,5,8]=>6
[3,6,1,5,7,4,2,8]=>[1,3,2,6,4,5,7,8]=>3
[8,5,3,6,2,7,4,1]=>[1,8,2,5,3,4,6,7]=>8
[1,3,7,4,6,8,2,5]=>[1,2,3,7,4,5,6,8]=>3
[1,2,7,6,8,3,4,5]=>[1,2,3,7,4,6,5,8]=>4
[2,1,7,5,6,8,3,4]=>[1,2,3,7,4,5,6,8]=>3
[6,8,1,4,7,2,5,3]=>[1,6,2,8,3,4,5,7]=>8
[7,3,8,5,4,6,2,1]=>[1,7,2,3,8,4,5,6]=>8
[1,3,8,7,5,6,2,4]=>[1,2,3,8,4,7,5,6]=>6
[8,2,1,6,4,3,5,7]=>[1,8,7,5,4,6,3,2]=>19
[4,3,5,2,8,1,7,6]=>[1,4,2,3,5,8,6,7]=>4
[1,7,4,3,8,5,2,6]=>[1,2,7,3,4,5,8,6]=>5
[2,1,7,3,5,8,4,6]=>[1,2,3,7,4,5,6,8]=>3
[8,2,1,7,3,5,6,4]=>[1,8,4,7,6,5,3,2]=>18
[5,1,4,6,8,3,7,2]=>[1,5,8,2,3,4,6,7]=>8
[3,8,1,2,5,7,6,4]=>[1,3,2,8,4,5,6,7]=>5
[3,8,2,7,1,6,5,4]=>[1,3,2,8,4,7,5,6]=>7
[3,8,2,7,6,1,5,4]=>[1,3,2,8,4,7,5,6]=>7
[3,8,2,7,6,5,1,4]=>[1,3,2,8,4,7,5,6]=>7
[3,8,2,7,6,5,4,1]=>[1,3,2,8,4,7,5,6]=>7
[4,8,7,2,6,5,3,1]=>[1,4,2,8,3,7,5,6]=>8
[4,8,7,2,6,5,1,3]=>[1,4,2,8,3,7,5,6]=>8
[4,8,7,2,6,1,5,3]=>[1,4,2,8,3,7,5,6]=>8
[4,8,7,2,1,6,5,3]=>[1,4,2,8,3,7,5,6]=>8
[5,8,7,6,2,4,3,1]=>[1,5,2,8,3,7,4,6]=>9
[5,8,7,6,2,1,4,3]=>[1,5,2,8,3,7,4,6]=>9
[5,3,4,1,2,7,8,6]=>[1,5,2,3,4,6,7,8]=>3
[2,1,4,3,6,5,8,7,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,1,5,4,7,6,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,2,5,4,7,6,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,1,5,4,7,6,9,8,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,5,4,7,6,9,8,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[7,2,8,3,6,5,1,4]=>[1,7,2,3,8,4,5,6]=>8
[5,2,3,8,1,4,7,6]=>[1,5,2,3,4,8,6,7]=>5
[5,1,3,8,2,4,7,6]=>[1,5,2,3,4,8,6,7]=>5
[5,1,4,8,2,7,6,3]=>[1,5,2,3,4,8,6,7]=>5
[5,4,8,1,2,7,6,3]=>[1,5,2,4,3,8,6,7]=>6
[6,3,1,5,4,2,7,8]=>[1,6,2,3,4,5,7,8]=>4
[7,8,2,5,4,6,1,3]=>[1,7,2,8,3,4,5,6]=>9
[6,1,3,5,4,8,7,2]=>[1,6,8,2,3,4,5,7]=>9
[8,5,3,2,1,7,6,4]=>[1,8,4,2,5,3,6,7]=>9
[5,7,4,3,2,8,1,6]=>[1,5,2,7,3,4,6,8]=>6
[5,8,1,6,2,7,4,3]=>[1,5,2,8,3,4,6,7]=>7
[3,7,2,6,8,4,1,5]=>[1,3,2,7,4,6,5,8]=>5
[7,1,2,3,8,5,6,4]=>[1,7,6,5,8,4,3,2]=>18
[7,8,2,6,3,4,1,5]=>[1,7,2,8,5,3,4,6]=>11
[5,1,2,3,8,7,6,4]=>[1,5,8,4,3,2,6,7]=>11
[5,1,2,3,8,6,7,4]=>[1,5,8,4,3,2,6,7]=>11
[7,8,1,2,6,3,5,4]=>[1,7,5,6,3,2,8,4]=>13
[7,1,3,6,5,4,2,8]=>[1,7,2,3,4,6,5,8]=>6
[7,3,1,6,5,4,2,8]=>[1,7,2,3,4,6,5,8]=>6
[5,1,8,2,7,6,3,4]=>[1,5,7,3,8,4,2,6]=>12
[6,3,1,8,7,2,5,4]=>[1,6,2,3,4,8,5,7]=>6
[1,3,2,5,8,7,4,6]=>[1,2,3,4,5,8,6,7]=>2
[2,1,3,5,8,7,4,6]=>[1,2,3,4,5,8,6,7]=>2
[6,8,4,2,7,1,5,3]=>[1,6,2,8,3,4,5,7]=>8
[7,2,8,5,6,3,1,4]=>[1,7,2,3,8,4,5,6]=>8
[2,3,8,7,1,6,5,4]=>[1,2,3,8,4,7,5,6]=>6
[5,3,1,7,2,4,6,8]=>[1,5,2,3,4,7,6,8]=>4
[7,1,5,3,2,8,6,4]=>[1,7,6,8,4,3,5,2]=>17
[1,2,3,5,8,4,7,6]=>[1,2,3,4,5,8,6,7]=>2
[1,2,3,5,8,7,4,6]=>[1,2,3,4,5,8,6,7]=>2
[7,5,6,3,1,4,2,8]=>[1,7,2,5,3,6,4,8]=>8
[7,5,3,1,8,4,2,6]=>[1,7,2,5,8,6,4,3]=>13
[7,5,8,3,1,6,2,4]=>[1,7,2,5,3,8,4,6]=>9
[7,5,3,6,1,4,2,8]=>[1,7,2,5,3,4,6,8]=>7
[7,5,8,6,3,1,2,4]=>[1,7,2,5,3,8,4,6]=>9
[7,5,8,6,3,4,1,2]=>[1,7,2,5,3,8,4,6]=>9
[7,5,3,4,1,6,2,8]=>[1,7,2,5,3,4,6,8]=>7
[7,5,3,4,1,8,2,6]=>[1,7,2,5,3,4,6,8]=>7
[3,6,2,5,4,1,8,7]=>[1,3,2,6,4,5,7,8]=>3
[3,5,2,8,4,7,6,1]=>[1,3,2,5,4,8,6,7]=>4
[5,4,7,3,2,8,6,1]=>[1,5,2,4,3,7,6,8]=>5
[5,4,8,3,2,7,6,1]=>[1,5,2,4,3,8,6,7]=>6
[6,4,5,3,2,1,8,7]=>[1,6,2,4,3,5,7,8]=>5
[5,8,4,3,2,7,6,1]=>[1,5,2,8,3,4,6,7]=>7
[2,1,5,8,4,7,6,3]=>[1,2,3,5,4,8,6,7]=>3
[2,1,8,6,7,5,4,3]=>[1,2,3,8,4,6,5,7]=>5
[8,3,2,6,7,5,4,1]=>[1,8,2,3,4,6,5,7]=>7
[8,4,5,3,2,7,6,1]=>[1,8,2,4,3,5,6,7]=>7
[8,4,7,3,6,5,2,1]=>[1,8,2,4,3,7,5,6]=>9
[8,4,6,3,7,5,2,1]=>[1,8,2,4,3,6,5,7]=>8
[7,4,6,3,8,5,2,1]=>[1,7,2,4,3,6,5,8]=>7
[3,7,2,6,8,5,4,1]=>[1,3,2,7,4,6,5,8]=>5
[3,8,2,6,7,5,4,1]=>[1,3,2,8,4,6,5,7]=>6
[3,8,2,5,4,7,6,1]=>[1,3,2,8,4,5,6,7]=>5
[3,7,2,8,6,5,4,1]=>[1,3,2,7,4,8,5,6]=>6
[7,4,8,3,6,5,2,1]=>[1,7,2,4,3,8,5,6]=>8
[7,8,4,3,6,5,2,1]=>[1,7,2,8,3,4,5,6]=>9
[2,3,1,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,1,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,1,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,6,1,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,1,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,1,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,1,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,6,1,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,6,7,1,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,6,7,8,1,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,6,7,9,8,1]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,5,8,3,6,7,4]=>[1,2,3,5,4,8,6,7]=>3
[4,6,3,1,5,2,8,7]=>[1,4,2,6,3,5,7,8]=>4
[7,4,6,2,5,3,1,8]=>[1,7,2,4,3,6,5,8]=>7
[8,6,3,2,1,7,4,5]=>[1,8,5,2,6,7,4,3]=>14
[7,4,8,3,1,6,2,5]=>[1,7,2,4,3,8,5,6]=>8
[7,4,6,3,5,2,1,8]=>[1,7,2,4,3,6,5,8]=>7
[1,3,7,2,6,8,4,5]=>[1,2,3,7,4,5,6,8]=>3
[8,6,2,4,7,3,5,1]=>[1,8,2,6,3,4,5,7]=>9
[7,1,4,5,6,8,2,3]=>[1,7,2,3,4,5,6,8]=>5
[8,6,2,5,4,3,7,1]=>[1,8,2,6,3,4,5,7]=>9
[3,4,1,5,7,6,2,8]=>[1,3,2,4,5,7,6,8]=>2
[4,2,8,3,6,1,5,7]=>[1,4,3,8,7,5,6,2]=>12
[1,7,4,2,8,6,5,3]=>[1,2,7,5,8,3,4,6]=>9
[1,7,4,2,8,5,3,6]=>[1,2,7,3,4,5,8,6]=>5
[7,5,8,6,3,2,1,4]=>[1,7,2,5,3,8,4,6]=>9
[6,5,8,7,3,2,1,4]=>[1,6,2,5,3,8,4,7]=>8
[3,7,5,8,6,2,1,4]=>[1,3,5,6,2,7,4,8]=>6
[7,8,1,5,4,6,2,3]=>[1,7,2,8,3,4,5,6]=>9
[5,7,6,8,1,4,2,3]=>[1,5,2,7,3,6,4,8]=>7
[6,8,5,4,1,2,7,3]=>[1,6,2,8,3,5,4,7]=>9
[6,1,4,5,3,2,8,7]=>[1,6,2,3,4,5,7,8]=>4
[6,1,8,5,2,7,4,3]=>[1,6,7,4,5,2,3,8]=>12
[2,1,8,3,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>4
[8,1,2,7,3,5,6,4]=>[1,8,4,7,6,5,3,2]=>18
[1,7,4,3,8,6,2,5]=>[1,2,7,3,4,5,8,6]=>5
[8,5,4,3,1,6,7,2]=>[1,8,2,5,3,4,6,7]=>8
[6,5,8,4,3,1,7,2]=>[1,6,2,5,3,8,4,7]=>8
[4,8,3,2,5,6,7,1]=>[1,4,2,8,3,5,6,7]=>6
[2,1,8,3,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>4
[4,5,8,1,2,3,7,6]=>[1,4,2,5,3,8,6,7]=>5
[7,6,3,5,8,2,1,4]=>[1,7,2,6,3,4,5,8]=>8
[6,5,2,4,8,1,7,3]=>[1,6,2,5,8,3,4,7]=>9
[5,1,4,8,2,6,7,3]=>[1,5,2,3,4,8,6,7]=>5
[6,3,4,8,5,1,7,2]=>[1,6,2,3,4,8,5,7]=>6
[5,3,4,8,1,6,7,2]=>[1,5,2,3,4,8,6,7]=>5
[6,5,4,1,8,2,7,3]=>[1,6,2,5,8,3,4,7]=>9
[6,5,4,7,1,2,8,3]=>[1,6,2,5,3,4,7,8]=>6
[6,5,4,7,8,1,3,2]=>[1,6,2,5,8,3,4,7]=>9
[6,4,3,1,5,2,8,7]=>[1,6,2,4,3,5,7,8]=>5
[7,8,4,5,1,6,2,3]=>[1,7,2,8,3,4,5,6]=>9
[7,8,1,5,3,6,2,4]=>[1,7,2,8,4,5,3,6]=>11
[3,7,2,5,4,6,1,8]=>[1,3,2,7,4,5,6,8]=>4
[4,2,5,1,6,7,8,3]=>[1,4,2,3,5,6,7,8]=>2
[8,2,1,3,4,7,5,6]=>[1,8,6,7,5,4,3,2]=>20
[1,2,7,8,3,6,4,5]=>[1,2,3,7,4,8,5,6]=>5
[6,8,4,5,1,2,7,3]=>[1,6,2,8,3,4,5,7]=>8
[6,5,8,4,1,2,7,3]=>[1,6,2,5,3,8,4,7]=>8
[5,7,4,6,1,8,2,3]=>[1,5,2,7,3,4,6,8]=>6
[5,8,4,6,1,7,2,3]=>[1,5,2,8,3,4,6,7]=>7
[2,4,6,3,7,5,1,8]=>[1,2,4,3,6,5,7,8]=>2
[2,3,8,1,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>4
[5,8,6,7,2,1,4,3]=>[1,5,2,8,3,6,4,7]=>8
[5,8,6,7,1,4,3,2]=>[1,5,2,8,3,6,4,7]=>8
[5,8,6,7,2,3,4,1]=>[1,5,2,8,3,6,4,7]=>8
[5,8,6,7,2,4,3,1]=>[1,5,2,8,3,6,4,7]=>8
[5,8,6,7,1,2,4,3]=>[1,5,2,8,3,6,4,7]=>8
[3,5,1,7,4,6,2,8]=>[1,3,2,5,4,7,6,8]=>3
[6,8,1,3,5,7,2,4]=>[1,6,7,2,8,4,3,5]=>12
[3,1,7,6,5,8,4,2]=>[1,3,7,4,6,8,2,5]=>10
[1,7,3,5,8,6,2,4]=>[1,2,7,3,4,5,8,6]=>5
[1,7,2,5,8,6,3,4]=>[1,2,7,3,4,5,8,6]=>5
[2,7,1,5,8,6,3,4]=>[1,2,7,3,4,5,8,6]=>5
[7,3,2,5,8,6,1,4]=>[1,7,2,3,4,5,8,6]=>6
[8,1,3,6,7,4,5,2]=>[1,8,2,3,4,6,5,7]=>7
[7,3,1,5,4,8,2,6]=>[1,7,2,3,4,5,6,8]=>5
[4,3,5,2,7,1,6,8]=>[1,4,2,3,5,7,6,8]=>3
[5,4,2,3,1,6,8,7]=>[1,5,2,4,3,6,7,8]=>4
[7,3,1,4,5,6,2,8]=>[1,7,2,3,4,5,6,8]=>5
[6,2,3,4,8,7,1,5]=>[1,6,7,2,3,4,5,8]=>8
[6,3,2,5,8,7,1,4]=>[1,6,7,2,3,4,5,8]=>8
[5,6,1,4,2,3,7,8]=>[1,5,2,6,3,4,7,8]=>5
[5,6,1,4,2,3,8,7]=>[1,5,2,6,3,4,7,8]=>5
[5,8,2,4,1,7,6,3]=>[1,5,2,8,3,4,6,7]=>7
[4,8,3,1,6,7,5,2]=>[1,4,2,8,3,5,6,7]=>6
[3,4,8,1,6,2,5,7]=>[1,3,8,7,5,6,2,4]=>14
[7,6,2,8,3,5,4,1]=>[1,7,4,8,2,6,5,3]=>14
[8,5,7,4,3,6,1,2]=>[1,8,2,5,3,7,4,6]=>10
[3,6,2,8,7,1,5,4]=>[1,3,2,6,4,8,5,7]=>5
[6,8,2,4,7,1,5,3]=>[1,6,2,8,3,4,5,7]=>8
[8,7,2,5,6,4,3,1]=>[1,8,2,7,3,4,5,6]=>10
[1,2,7,8,5,6,4,3]=>[1,2,3,7,4,8,5,6]=>5
[8,1,4,7,6,5,3,2]=>[1,8,2,3,4,7,5,6]=>8
[5,4,7,3,2,1,6,8]=>[1,5,2,4,3,7,6,8]=>5
[6,5,3,7,2,1,4,8]=>[1,6,2,5,3,4,7,8]=>6
[6,3,2,7,5,1,4,8]=>[1,6,2,3,4,7,5,8]=>5
[5,4,7,3,1,8,6,2]=>[1,5,2,4,3,7,6,8]=>5
[4,8,7,1,5,6,3,2]=>[1,4,2,8,3,7,5,6]=>8
[4,8,3,1,5,6,7,2]=>[1,4,2,8,3,5,6,7]=>6
[4,2,7,1,5,6,3,8]=>[1,4,2,3,7,5,6,8]=>4
[4,8,1,6,5,7,3,2]=>[1,4,6,7,3,2,8,5]=>10
[3,8,1,6,5,4,7,2]=>[1,3,2,8,4,6,5,7]=>6
[3,4,5,6,8,1,7,2]=>[1,3,5,8,2,4,6,7]=>7
[2,3,6,7,8,1,5,4]=>[1,2,3,6,4,7,5,8]=>3
[5,2,4,8,6,3,1,7]=>[1,5,6,3,4,8,7,2]=>11
[4,2,6,3,8,5,1,7]=>[1,4,3,6,5,8,7,2]=>9
[7,5,1,6,3,8,2,4]=>[1,7,2,5,3,4,6,8]=>7
[6,8,5,4,3,2,7,1]=>[1,6,2,8,3,5,4,7]=>9
[7,5,3,2,8,4,1,6]=>[1,7,2,5,8,6,4,3]=>13
[1,3,7,8,6,4,2,5]=>[1,2,3,7,4,8,5,6]=>5
[3,4,2,5,8,6,7,1]=>[1,3,2,4,5,8,6,7]=>3
[2,1,8,5,6,7,3,4]=>[1,2,3,8,4,5,6,7]=>4
[1,2,8,3,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>4
[4,2,8,5,6,7,1,3]=>[1,4,5,6,7,2,3,8]=>8
[5,2,4,7,1,8,6,3]=>[1,5,2,3,4,7,6,8]=>4
[5,3,4,7,1,8,6,2]=>[1,5,2,3,4,7,6,8]=>4
[2,7,4,5,8,3,1,6]=>[1,2,7,3,4,5,8,6]=>5
[8,4,7,2,1,3,5,6]=>[1,8,6,3,7,5,2,4]=>16
[3,4,5,1,8,6,7,2]=>[1,3,5,8,2,4,6,7]=>7
[3,8,1,4,5,6,7,2]=>[1,3,2,8,4,5,6,7]=>5
[4,1,6,3,8,5,2,7]=>[1,4,3,6,5,8,7,2]=>9
[4,1,8,3,2,5,6,7]=>[1,4,3,8,7,6,5,2]=>13
[6,1,8,3,4,5,2,7]=>[1,6,5,4,3,8,7,2]=>13
[7,1,2,3,4,8,6,5]=>[1,7,6,8,5,4,3,2]=>19
[1,3,5,7,2,6,4,8]=>[1,2,3,5,4,7,6,8]=>2
[7,8,4,2,5,6,1,3]=>[1,7,2,8,3,4,5,6]=>9
[7,2,8,5,4,6,1,3]=>[1,7,2,3,8,4,5,6]=>8
[6,3,2,8,5,1,7,4]=>[1,6,2,3,4,8,5,7]=>6
[8,4,7,2,5,6,3,1]=>[1,8,2,4,3,7,5,6]=>9
[6,8,5,4,3,1,7,2]=>[1,6,2,8,3,5,4,7]=>9
[5,8,6,4,1,3,7,2]=>[1,5,2,8,3,6,4,7]=>8
[4,8,6,1,5,3,7,2]=>[1,4,2,8,3,6,5,7]=>7
[3,6,1,8,5,2,7,4]=>[1,3,2,6,4,8,5,7]=>5
[3,4,1,2,8,6,7,5]=>[1,3,2,4,5,8,6,7]=>3
[6,8,3,5,4,1,7,2]=>[1,6,2,8,3,4,5,7]=>8
[4,2,3,1,7,8,5,6]=>[1,4,2,3,5,7,6,8]=>3
[8,6,3,4,7,2,5,1]=>[1,8,2,6,3,4,5,7]=>9
[6,8,3,4,5,1,7,2]=>[1,6,2,8,3,4,5,7]=>8
[6,5,1,8,4,7,3,2]=>[1,6,7,3,2,5,4,8]=>10
[6,3,1,4,7,2,8,5]=>[1,6,2,3,4,5,7,8]=>4
[3,8,1,5,6,2,7,4]=>[1,3,2,8,4,5,6,7]=>5
[1,2,7,8,5,6,3,4]=>[1,2,3,7,4,8,5,6]=>5
[1,2,6,8,5,3,7,4]=>[1,2,3,6,4,8,5,7]=>4
[1,2,6,8,7,3,5,4]=>[1,2,3,6,4,8,5,7]=>4
[1,2,7,8,6,5,3,4]=>[1,2,3,7,4,8,5,6]=>5
[4,3,1,2,8,5,7,6]=>[1,4,2,3,5,8,6,7]=>4
[4,3,1,2,8,6,7,5]=>[1,4,2,3,5,8,6,7]=>4
[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>1
[8,7,6,3,5,4,2,1]=>[1,8,2,7,3,6,4,5]=>12
[8,7,6,2,5,4,3,1]=>[1,8,2,7,3,6,4,5]=>12
[8,4,7,1,6,5,3,2]=>[1,8,2,4,3,7,5,6]=>9
[8,6,7,5,4,1,3,2]=>[1,8,2,6,3,7,4,5]=>11
[8,7,6,4,5,1,3,2]=>[1,8,2,7,3,6,4,5]=>12
[7,8,3,6,1,4,2,5]=>[1,7,2,8,5,3,4,6]=>11
[7,8,2,5,3,6,1,4]=>[1,7,2,8,4,5,3,6]=>11
[7,8,1,4,3,6,2,5]=>[1,7,2,8,5,3,4,6]=>11
[5,7,6,8,2,4,1,3]=>[1,5,2,7,3,6,4,8]=>7
[3,7,1,5,2,6,4,8]=>[1,3,2,7,4,5,6,8]=>4
[3,7,2,6,1,5,4,8]=>[1,3,2,7,4,6,5,8]=>5
[6,3,4,8,7,2,5,1]=>[1,6,2,3,4,8,5,7]=>6
[5,3,4,8,2,7,6,1]=>[1,5,2,3,4,8,6,7]=>5
[6,4,5,3,7,1,8,2]=>[1,6,2,4,3,5,7,8]=>5
[5,3,4,7,2,6,1,8]=>[1,5,2,3,4,7,6,8]=>4
[7,6,3,1,2,4,8,5]=>[1,7,8,5,2,6,4,3]=>16
[1,3,6,8,7,4,2,5]=>[1,2,3,6,4,8,5,7]=>4
[6,8,5,7,1,2,4,3]=>[1,6,2,8,3,5,4,7]=>9
[8,2,3,7,6,4,5,1]=>[1,8,2,3,4,7,5,6]=>8
[3,6,1,4,7,2,8,5]=>[1,3,2,6,4,5,7,8]=>3
[3,5,1,6,4,7,8,2]=>[1,3,2,5,4,6,7,8]=>2
[1,2,7,4,6,8,3,5]=>[1,2,3,7,4,5,6,8]=>3
[2,3,7,5,1,8,4,6]=>[1,2,3,7,4,5,6,8]=>3
[3,1,5,4,8,7,6,2]=>[1,3,5,8,2,4,6,7]=>7
[1,2,5,8,4,7,3,6]=>[1,2,3,5,4,8,6,7]=>3
[1,2,6,8,5,4,7,3]=>[1,2,3,6,4,8,5,7]=>4
[1,3,6,8,5,2,7,4]=>[1,2,3,6,4,8,5,7]=>4
[1,2,5,8,4,3,7,6]=>[1,2,3,5,4,8,6,7]=>3
[1,3,5,8,2,4,7,6]=>[1,2,3,5,4,8,6,7]=>3
[1,3,7,5,6,8,2,4]=>[1,2,3,7,4,5,6,8]=>3
[1,2,5,7,3,8,6,4]=>[1,2,3,5,4,7,6,8]=>2
[1,2,7,5,6,8,4,3]=>[1,2,3,7,4,5,6,8]=>3
[1,3,5,8,2,7,4,6]=>[1,2,3,5,4,8,6,7]=>3
[1,2,5,8,4,7,6,3]=>[1,2,3,5,4,8,6,7]=>3
[2,3,7,6,8,5,1,4]=>[1,2,3,7,4,6,5,8]=>4
[5,3,4,7,2,8,1,6]=>[1,5,2,3,4,7,6,8]=>4
[4,7,1,3,8,5,6,2]=>[1,4,3,2,7,6,5,8]=>6
[5,3,4,6,8,2,7,1]=>[1,5,8,2,3,4,6,7]=>8
[4,7,8,2,6,1,3,5]=>[1,4,2,7,3,8,5,6]=>7
[3,6,2,4,7,1,8,5]=>[1,3,2,6,4,5,7,8]=>3
[3,6,2,5,7,1,4,8]=>[1,3,2,6,4,5,7,8]=>3
[3,1,2,5,7,6,4,8]=>[1,3,2,4,5,7,6,8]=>2
[3,8,1,6,7,5,4,2]=>[1,3,2,8,4,6,5,7]=>6
[3,7,2,6,8,5,1,4]=>[1,3,2,7,4,6,5,8]=>5
[7,2,3,8,5,6,1,4]=>[1,7,2,3,4,8,5,6]=>7
[1,8,4,5,3,2,6,7]=>[1,2,8,7,6,3,4,5]=>12
[5,2,4,6,1,7,3,8]=>[1,5,2,3,4,6,7,8]=>3
[1,4,6,3,7,2,8,5]=>[1,2,4,3,6,5,7,8]=>2
[3,7,2,6,5,4,1,8]=>[1,3,2,7,4,6,5,8]=>5
[7,6,2,5,4,3,1,8]=>[1,7,2,6,3,4,5,8]=>8
[4,7,5,2,6,3,1,8]=>[1,4,2,7,3,5,6,8]=>5
[3,8,2,6,5,1,7,4]=>[1,3,2,8,4,6,5,7]=>6
[4,8,5,2,6,1,7,3]=>[1,4,2,8,3,5,6,7]=>6
[4,8,5,1,2,7,6,3]=>[1,4,2,8,3,5,6,7]=>6
[6,5,3,4,8,2,7,1]=>[1,6,2,5,8,3,4,7]=>9
[4,6,8,2,7,3,1,5]=>[1,4,2,6,3,8,5,7]=>6
[4,3,5,1,7,6,2,8]=>[1,4,2,3,5,7,6,8]=>3
[4,1,7,2,6,3,5,8]=>[1,4,2,3,7,5,6,8]=>4
[7,3,8,1,5,6,2,4]=>[1,7,2,3,8,4,5,6]=>8
[6,5,4,3,8,2,7,1]=>[1,6,2,5,8,3,4,7]=>9
[5,4,8,2,1,7,3,6]=>[1,5,2,4,3,8,6,7]=>6
[2,1,7,8,3,6,4,5]=>[1,2,3,7,4,8,5,6]=>5
[5,2,3,7,1,8,6,4]=>[1,5,2,3,4,7,6,8]=>4
[4,3,1,2,7,8,6,5]=>[1,4,2,3,5,7,6,8]=>3
[5,3,1,8,2,6,7,4]=>[1,5,2,3,4,8,6,7]=>5
[3,4,2,1,8,7,5,6]=>[1,3,2,4,5,8,6,7]=>3
[4,6,7,2,5,1,3,8]=>[1,4,2,6,3,7,5,8]=>5
[5,2,3,6,1,4,7,8]=>[1,5,2,3,4,6,7,8]=>3
[4,6,7,1,5,2,3,8]=>[1,4,2,6,3,7,5,8]=>5
[6,4,7,1,5,2,3,8]=>[1,6,2,4,3,7,5,8]=>6
[3,5,2,6,1,4,7,8]=>[1,3,2,5,4,6,7,8]=>2
[5,1,3,6,2,4,7,8]=>[1,5,2,3,4,6,7,8]=>3
[5,3,1,6,2,4,7,8]=>[1,5,2,3,4,6,7,8]=>3
[7,3,4,1,6,5,2,8]=>[1,7,2,3,4,5,6,8]=>5
[7,3,4,1,5,6,2,8]=>[1,7,2,3,4,5,6,8]=>5
[7,6,5,4,1,3,2,8]=>[1,7,2,6,3,5,4,8]=>9
[1,3,4,5,8,7,2,6]=>[1,2,3,4,5,8,6,7]=>2
[2,3,4,5,8,1,7,6]=>[1,2,3,4,5,8,6,7]=>2
[5,3,1,4,2,7,8,6]=>[1,5,2,3,4,6,7,8]=>3
[7,3,2,5,6,8,1,4]=>[1,7,2,3,4,5,6,8]=>5
[7,3,4,5,8,6,1,2]=>[1,7,2,3,4,5,8,6]=>6
[7,3,4,5,8,1,2,6]=>[1,7,2,3,4,5,8,6]=>6
[1,3,4,5,8,2,7,6]=>[1,2,3,4,5,8,6,7]=>2
[7,3,4,5,8,6,2,1]=>[1,7,2,3,4,5,8,6]=>6
[7,1,5,4,6,8,3,2]=>[1,7,3,5,6,8,2,4]=>12
[5,7,4,6,1,8,3,2]=>[1,5,2,7,3,4,6,8]=>6
[7,3,4,5,8,2,1,6]=>[1,7,2,3,4,5,8,6]=>6
[4,8,6,1,7,5,2,3]=>[1,4,2,8,3,6,5,7]=>7
[8,4,7,3,6,5,1,2]=>[1,8,2,4,3,7,5,6]=>9
[8,4,6,1,7,5,3,2]=>[1,8,2,4,3,6,5,7]=>8
[2,1,8,6,3,5,7,4]=>[1,2,3,8,4,6,5,7]=>5
[3,2,1,5,7,8,4,6]=>[1,3,2,4,5,7,6,8]=>2
[2,1,7,3,6,8,4,5]=>[1,2,3,7,4,5,6,8]=>3
[3,2,1,5,7,4,6,8]=>[1,3,2,4,5,7,6,8]=>2
[1,2,7,5,3,6,4,8]=>[1,2,3,7,4,5,6,8]=>3
[5,7,8,6,1,3,2,4]=>[1,5,2,7,3,8,4,6]=>8
[7,3,2,6,8,5,1,4]=>[1,7,2,3,4,6,5,8]=>6
[8,4,6,3,7,2,5,1]=>[1,8,2,4,3,6,5,7]=>8
[7,4,6,3,8,5,1,2]=>[1,7,2,4,3,6,5,8]=>7
[8,4,6,2,7,5,3,1]=>[1,8,2,4,3,6,5,7]=>8
[8,5,6,7,2,4,3,1]=>[1,8,2,5,3,6,4,7]=>9
[7,5,6,8,2,4,1,3]=>[1,7,2,5,3,6,4,8]=>8
[7,4,6,2,8,5,1,3]=>[1,7,2,4,3,6,5,8]=>7
[6,5,7,8,3,1,4,2]=>[1,6,2,5,3,7,4,8]=>7
[6,4,7,3,8,1,5,2]=>[1,6,2,4,3,7,5,8]=>6
[6,4,7,3,8,1,2,5]=>[1,6,2,4,3,7,5,8]=>6
[7,4,6,3,8,2,1,5]=>[1,7,2,4,3,6,5,8]=>7
[2,3,6,4,7,1,5,8]=>[1,2,3,6,4,5,7,8]=>2
[4,8,6,2,1,5,7,3]=>[1,4,2,8,3,6,5,7]=>7
[4,7,5,2,6,1,3,8]=>[1,4,2,7,3,5,6,8]=>5
[3,6,4,2,1,7,5,8]=>[1,3,4,2,6,7,5,8]=>4
[4,2,3,1,7,8,6,5]=>[1,4,2,3,5,7,6,8]=>3
[3,4,2,1,8,6,7,5]=>[1,3,2,4,5,8,6,7]=>3
[6,5,3,4,8,1,7,2]=>[1,6,2,5,8,3,4,7]=>9
[3,7,2,5,6,4,1,8]=>[1,3,2,7,4,5,6,8]=>4
[6,2,8,5,1,7,4,3]=>[1,6,7,4,5,2,3,8]=>12
[3,8,1,5,2,7,6,4]=>[1,3,2,8,4,5,6,7]=>5
[3,7,1,8,6,5,4,2]=>[1,3,2,7,4,8,5,6]=>6
[6,8,4,5,2,1,7,3]=>[1,6,2,8,3,4,5,7]=>8
[4,7,6,1,5,3,2,8]=>[1,4,2,7,3,6,5,8]=>6
[2,1,4,3,6,5,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,1,4,3,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,1,4,3,6,5,8,7,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,3,6,5,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,3,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[3,7,2,4,6,5,1,8]=>[1,3,2,7,4,5,6,8]=>4
[8,1,3,2,4,5,6,7]=>[1,8,7,6,5,4,2,3]=>20
[3,8,1,5,6,4,7,2]=>[1,3,2,8,4,5,6,7]=>5
[4,5,8,2,1,3,7,6]=>[1,4,2,5,3,8,6,7]=>5
[8,1,4,3,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>6
[7,1,3,5,4,6,2,8]=>[1,7,2,3,4,5,6,8]=>5
[4,1,3,2,5,7,6,8]=>[1,4,2,3,5,6,7,8]=>2
[7,3,4,1,8,5,2,6]=>[1,7,2,3,4,5,8,6]=>6
[2,1,3,4,8,7,5,6]=>[1,2,3,4,5,8,6,7]=>2
[8,2,1,3,6,4,5,7]=>[1,8,7,5,6,4,3,2]=>20
[3,8,1,7,5,6,4,2]=>[1,3,2,8,4,7,5,6]=>7
[6,1,4,3,5,8,7,2]=>[1,6,8,2,3,4,5,7]=>9
[8,1,4,3,6,5,7,2]=>[1,8,2,3,4,5,6,7]=>6
[8,4,1,3,6,5,7,2]=>[1,8,2,4,3,5,6,7]=>7
[8,4,6,1,3,5,7,2]=>[1,8,2,4,3,6,5,7]=>8
[8,1,4,6,3,5,7,2]=>[1,8,2,3,4,6,5,7]=>7
[2,1,8,3,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>4
[4,8,6,1,3,5,7,2]=>[1,4,2,8,3,6,5,7]=>7
[6,8,4,1,7,2,5,3]=>[1,6,2,8,3,4,5,7]=>8
[3,7,1,5,4,6,2,8]=>[1,3,2,7,4,5,6,8]=>4
[3,8,1,5,4,6,7,2]=>[1,3,2,8,4,5,6,7]=>5
[3,6,1,5,4,2,7,8]=>[1,3,2,6,4,5,7,8]=>3
[3,4,1,2,7,6,5,8]=>[1,3,2,4,5,7,6,8]=>2
[7,8,4,2,6,5,1,3]=>[1,7,2,8,3,4,5,6]=>9
[3,4,1,2,8,5,7,6]=>[1,3,2,4,5,8,6,7]=>3
[7,3,1,6,8,5,2,4]=>[1,7,2,3,4,6,5,8]=>6
[6,5,2,8,1,7,3,4]=>[1,6,7,3,2,5,4,8]=>10
[6,3,2,8,4,1,7,5]=>[1,6,2,3,4,8,5,7]=>6
[6,5,8,7,3,1,4,2]=>[1,6,2,5,3,8,4,7]=>8
[2,3,8,5,1,6,7,4]=>[1,2,3,8,4,5,6,7]=>4
[5,6,8,7,1,3,4,2]=>[1,5,2,6,3,8,4,7]=>7
[3,7,1,6,8,5,2,4]=>[1,3,2,7,4,6,5,8]=>5
[3,7,1,6,8,5,4,2]=>[1,3,2,7,4,6,5,8]=>5
[1,8,4,5,2,3,6,7]=>[1,2,8,7,6,3,4,5]=>12
[5,2,4,6,8,3,7,1]=>[1,5,8,2,3,4,6,7]=>8
[8,7,2,4,5,6,3,1]=>[1,8,2,7,3,4,5,6]=>10
[7,5,4,1,3,8,2,6]=>[1,7,2,5,3,4,6,8]=>7
[1,3,7,2,5,8,4,6]=>[1,2,3,7,4,5,6,8]=>3
[7,4,8,1,3,6,2,5]=>[1,7,2,4,3,8,5,6]=>8
[3,8,1,6,5,2,7,4]=>[1,3,2,8,4,6,5,7]=>6
[6,8,4,2,5,1,7,3]=>[1,6,2,8,3,4,5,7]=>8
[7,3,8,1,6,5,2,4]=>[1,7,2,3,8,4,5,6]=>8
[5,8,7,6,1,4,2,3]=>[1,5,2,8,3,7,4,6]=>9
[7,8,6,5,1,4,2,3]=>[1,7,2,8,3,6,4,5]=>11
[8,7,5,6,1,4,3,2]=>[1,8,2,7,3,5,4,6]=>11
[5,7,8,6,1,4,3,2]=>[1,5,2,7,3,8,4,6]=>8
[8,5,7,6,1,4,3,2]=>[1,8,2,5,3,7,4,6]=>10
[8,3,1,4,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>6
[5,3,1,4,8,6,7,2]=>[1,5,8,2,3,4,6,7]=>8
[8,3,1,5,4,6,7,2]=>[1,8,2,3,4,5,6,7]=>6
[8,5,6,7,1,4,3,2]=>[1,8,2,5,3,6,4,7]=>9
[5,7,6,8,1,4,3,2]=>[1,5,2,7,3,6,4,8]=>7
[7,2,4,5,8,3,1,6]=>[1,7,2,3,4,5,8,6]=>6
[4,1,3,5,6,7,2,8]=>[1,4,5,6,7,2,3,8]=>8
[3,8,1,5,6,7,4,2]=>[1,3,2,8,4,5,6,7]=>5
[3,8,2,5,6,7,1,4]=>[1,3,2,8,4,5,6,7]=>5
[8,1,3,5,6,7,4,2]=>[1,8,2,3,4,5,6,7]=>6
[1,2,8,5,6,7,3,4]=>[1,2,3,8,4,5,6,7]=>4
[4,7,3,2,5,6,1,8]=>[1,4,2,7,3,5,6,8]=>5
[6,3,1,4,7,8,5,2]=>[1,6,8,2,3,4,5,7]=>9
[4,8,6,2,7,3,5,1]=>[1,4,2,8,3,6,5,7]=>7
[7,3,4,2,6,8,1,5]=>[1,7,2,3,4,5,6,8]=>5
[4,8,5,1,6,7,3,2]=>[1,4,2,8,3,5,6,7]=>6
[8,1,4,5,6,7,3,2]=>[1,8,2,3,4,5,6,7]=>6
[4,8,5,2,1,6,7,3]=>[1,4,2,8,3,5,6,7]=>6
[3,6,2,8,5,1,7,4]=>[1,3,2,6,4,8,5,7]=>5
[3,7,5,1,6,2,4,8]=>[1,3,5,6,2,7,4,8]=>6
[1,2,3,4,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>2
[4,1,7,2,3,6,5,8]=>[1,4,2,3,7,5,6,8]=>4
[3,7,1,8,2,6,4,5]=>[1,3,2,7,4,8,5,6]=>6
[5,4,7,1,2,8,6,3]=>[1,5,2,4,3,7,6,8]=>5
[1,4,6,3,7,2,5,8]=>[1,2,4,3,6,5,7,8]=>2
[4,5,8,2,3,1,7,6]=>[1,4,2,5,3,8,6,7]=>5
[6,1,3,5,7,2,4,8]=>[1,6,2,3,4,5,7,8]=>4
[4,5,6,1,3,2,7,8]=>[1,4,2,5,3,6,7,8]=>3
[4,5,7,1,2,6,3,8]=>[1,4,2,5,3,7,6,8]=>4
[1,3,8,2,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>4
[6,1,4,8,3,2,7,5]=>[1,6,2,3,4,8,5,7]=>6
[7,1,3,5,4,8,2,6]=>[1,7,2,3,4,5,6,8]=>5
[7,3,4,8,6,2,1,5]=>[1,7,2,3,4,8,5,6]=>7
[3,6,2,7,1,4,5,8]=>[1,3,2,6,4,7,5,8]=>4
[6,2,4,8,5,1,7,3]=>[1,6,2,3,4,8,5,7]=>6
[5,2,4,8,1,3,7,6]=>[1,5,2,3,4,8,6,7]=>5
[4,6,5,2,3,1,8,7]=>[1,4,2,6,3,5,7,8]=>4
[6,8,7,4,5,2,3,1]=>[1,6,2,8,3,7,4,5]=>10
[8,2,4,6,7,5,3,1]=>[1,8,2,3,4,6,5,7]=>7
[2,1,6,8,7,4,5,3]=>[1,2,3,6,4,8,5,7]=>4
[4,8,6,2,7,5,3,1]=>[1,4,2,8,3,6,5,7]=>7
[6,3,1,7,8,4,5,2]=>[1,6,4,7,5,8,2,3]=>13
[4,6,8,2,5,3,7,1]=>[1,4,2,6,3,8,5,7]=>6
[2,3,6,8,7,1,4,5]=>[1,2,3,6,4,8,5,7]=>4
[4,2,5,1,8,3,7,6]=>[1,4,2,3,5,8,6,7]=>4
[3,4,1,5,8,7,2,6]=>[1,3,2,4,5,8,6,7]=>3
[3,4,2,5,8,7,1,6]=>[1,3,2,4,5,8,6,7]=>3
[6,2,3,7,8,4,5,1]=>[1,6,4,7,5,8,2,3]=>13
[8,4,6,3,7,1,5,2]=>[1,8,2,4,3,6,5,7]=>8
[4,2,8,3,1,5,6,7]=>[1,4,3,8,7,6,5,2]=>13
[4,3,7,2,5,8,1,6]=>[1,4,2,3,7,5,6,8]=>4
[6,4,8,3,7,2,5,1]=>[1,6,2,4,3,8,5,7]=>7
[7,3,8,2,6,5,1,4]=>[1,7,2,3,8,4,5,6]=>8
[5,2,8,1,7,6,3,4]=>[1,5,7,3,8,4,2,6]=>12
[6,7,4,2,5,1,3,8]=>[1,6,2,7,3,4,5,8]=>7
[8,4,2,3,6,5,7,1]=>[1,8,2,4,3,5,6,7]=>7
[4,3,7,1,6,8,5,2]=>[1,4,2,3,7,5,6,8]=>4
[4,3,7,1,6,8,2,5]=>[1,4,2,3,7,5,6,8]=>4
[5,8,7,6,1,2,4,3]=>[1,5,2,8,3,7,4,6]=>9
[4,1,7,2,6,8,5,3]=>[1,4,2,3,7,5,6,8]=>4
[4,2,7,3,6,1,8,5]=>[1,4,3,7,8,5,6,2]=>11
[3,8,2,4,5,6,7,1]=>[1,3,2,8,4,5,6,7]=>5
[3,8,2,5,4,6,7,1]=>[1,3,2,8,4,5,6,7]=>5
[5,8,7,6,1,3,4,2]=>[1,5,2,8,3,7,4,6]=>9
[5,8,7,6,2,3,4,1]=>[1,5,2,8,3,7,4,6]=>9
[7,1,4,5,8,6,2,3]=>[1,7,2,3,4,5,8,6]=>6
[3,7,1,6,2,5,4,8]=>[1,3,2,7,4,6,5,8]=>5
[3,6,2,1,5,4,7,8]=>[1,3,2,6,4,5,7,8]=>3
[2,3,6,1,5,4,7,8]=>[1,2,3,6,4,5,7,8]=>2
[3,5,2,4,1,6,7,8]=>[1,3,2,5,4,6,7,8]=>2
[6,3,4,1,5,2,7,8]=>[1,6,2,3,4,5,7,8]=>4
[2,4,6,1,5,3,7,8]=>[1,2,4,3,6,5,7,8]=>2
[4,7,1,3,5,2,6,8]=>[1,4,3,2,7,6,5,8]=>6
[5,7,1,4,2,6,3,8]=>[1,5,2,7,3,4,6,8]=>6
[8,6,7,5,3,1,4,2]=>[1,8,2,6,3,7,4,5]=>11
[5,8,6,4,1,2,7,3]=>[1,5,2,8,3,6,4,7]=>8
[5,8,7,3,2,6,4,1]=>[1,5,2,8,3,7,4,6]=>9
[6,5,2,7,8,1,4,3]=>[1,6,2,5,8,3,4,7]=>9
[7,1,3,5,8,6,2,4]=>[1,7,2,3,4,5,8,6]=>6
[8,5,1,6,3,4,7,2]=>[1,8,2,5,3,4,6,7]=>8
[4,6,8,1,5,3,7,2]=>[1,4,2,6,3,8,5,7]=>6
[5,6,8,3,1,2,7,4]=>[1,5,2,6,3,8,4,7]=>7
[7,6,8,3,5,2,1,4]=>[1,7,2,6,3,8,4,5]=>10
[6,7,8,3,5,1,2,4]=>[1,6,2,7,3,8,4,5]=>9
[8,6,5,1,4,3,7,2]=>[1,8,2,6,3,5,4,7]=>10
[4,8,5,1,6,7,2,3]=>[1,4,2,8,3,5,6,7]=>6
[2,1,6,8,5,4,7,3]=>[1,2,3,6,4,8,5,7]=>4
[4,7,6,1,2,5,3,8]=>[1,4,2,7,3,6,5,8]=>6
[5,8,3,6,1,7,4,2]=>[1,5,2,8,3,4,6,7]=>7
[3,6,1,8,2,4,7,5]=>[1,3,2,6,4,8,5,7]=>5
[1,3,8,7,6,2,5,4]=>[1,2,3,8,4,7,5,6]=>6
[8,6,2,3,1,7,4,5]=>[1,8,5,2,6,7,4,3]=>14
[7,5,8,1,3,6,2,4]=>[1,7,2,5,3,8,4,6]=>9
[7,1,4,6,5,3,2,8]=>[1,7,2,3,4,6,5,8]=>6
[6,8,5,1,3,7,2,4]=>[1,6,7,2,8,4,3,5]=>12
[5,8,3,4,2,6,7,1]=>[1,5,2,8,3,4,6,7]=>7
[5,3,8,7,4,1,6,2]=>[1,5,4,7,6,2,3,8]=>10
[8,4,6,3,5,2,7,1]=>[1,8,2,4,3,6,5,7]=>8
[6,5,8,4,3,2,7,1]=>[1,6,2,5,3,8,4,7]=>8
[6,4,8,3,5,2,7,1]=>[1,6,2,4,3,8,5,7]=>7
[6,4,7,3,8,2,5,1]=>[1,6,2,4,3,7,5,8]=>6
[7,3,8,4,5,6,2,1]=>[1,7,2,3,8,4,5,6]=>8
[5,6,3,4,2,1,8,7]=>[1,5,2,6,3,4,7,8]=>5
[5,6,4,2,1,3,8,7]=>[1,5,2,6,3,4,7,8]=>5
[2,1,7,8,6,4,3,5]=>[1,2,3,7,4,8,5,6]=>5
[6,5,8,2,3,1,7,4]=>[1,6,2,5,3,8,4,7]=>8
[4,6,2,1,5,3,8,7]=>[1,4,2,6,3,5,7,8]=>4
[4,1,3,2,5,7,8,6]=>[1,4,2,3,5,6,7,8]=>2
[5,4,8,1,2,3,7,6]=>[1,5,2,4,3,8,6,7]=>6
[4,1,3,2,8,7,5,6]=>[1,4,2,3,5,8,6,7]=>4
[1,3,6,7,4,2,5,8]=>[1,2,3,6,4,7,5,8]=>3
[1,3,6,4,7,2,5,8]=>[1,2,3,6,4,5,7,8]=>2
[2,3,6,4,7,1,8,5]=>[1,2,3,6,4,5,7,8]=>2
[1,3,5,7,4,6,2,8]=>[1,2,3,5,4,7,6,8]=>2
[1,3,5,7,4,2,6,8]=>[1,2,3,5,4,7,6,8]=>2
[1,3,5,7,4,8,2,6]=>[1,2,3,5,4,7,6,8]=>2
[1,3,5,7,4,8,6,2]=>[1,2,3,5,4,7,6,8]=>2
[1,3,5,7,2,8,6,4]=>[1,2,3,5,4,7,6,8]=>2
[5,6,8,7,2,3,1,4]=>[1,5,2,6,3,8,4,7]=>7
[5,7,6,8,2,3,1,4]=>[1,5,2,7,3,6,4,8]=>7
[7,5,8,6,2,3,1,4]=>[1,7,2,5,3,8,4,6]=>9
[6,4,8,3,7,1,5,2]=>[1,6,2,4,3,8,5,7]=>7
[8,1,2,3,4,6,7,5]=>[1,8,5,4,3,2,6,7]=>12
[8,6,2,3,4,1,7,5]=>[1,8,5,4,3,2,6,7]=>12
[8,6,2,3,4,7,1,5]=>[1,8,5,4,3,2,6,7]=>12
[5,8,4,2,1,6,7,3]=>[1,5,2,8,3,4,6,7]=>7
[5,8,4,1,2,6,7,3]=>[1,5,2,8,3,4,6,7]=>7
[5,8,2,1,4,7,6,3]=>[1,5,4,2,8,3,6,7]=>8
[5,8,1,2,4,7,6,3]=>[1,5,4,2,8,3,6,7]=>8
[6,1,3,8,5,2,7,4]=>[1,6,2,3,4,8,5,7]=>6
[2,3,7,5,6,8,1,4]=>[1,2,3,7,4,5,6,8]=>3
[4,3,7,2,6,5,1,8]=>[1,4,2,3,7,5,6,8]=>4
[6,8,5,2,4,1,7,3]=>[1,6,2,8,3,5,4,7]=>9
[3,5,2,4,1,7,8,6]=>[1,3,2,5,4,6,7,8]=>2
[7,3,2,8,6,4,1,5]=>[1,7,2,3,4,8,5,6]=>7
[2,3,8,7,6,5,1,4]=>[1,2,3,8,4,7,5,6]=>6
[1,2,8,7,3,6,5,4]=>[1,2,3,8,4,7,5,6]=>6
[5,6,8,4,1,2,7,3]=>[1,5,2,6,3,8,4,7]=>7
[7,2,4,8,3,6,1,5]=>[1,7,2,3,4,8,5,6]=>7
[7,6,3,4,8,2,1,5]=>[1,7,2,6,3,4,5,8]=>8
[7,2,3,4,8,6,1,5]=>[1,7,2,3,4,5,8,6]=>6
[4,7,5,1,6,8,3,2]=>[1,4,2,7,3,5,6,8]=>5
[8,4,3,1,5,6,7,2]=>[1,8,2,4,3,5,6,7]=>7
[5,1,3,4,8,6,7,2]=>[1,5,8,2,3,4,6,7]=>8
[8,5,3,4,1,6,7,2]=>[1,8,2,5,3,4,6,7]=>8
[7,8,1,5,3,2,4,6]=>[1,7,4,5,3,2,8,6]=>11
[7,5,4,1,8,2,3,6]=>[1,7,3,4,2,5,8,6]=>8
[7,3,1,8,6,4,2,5]=>[1,7,2,3,4,8,5,6]=>7
[5,6,8,1,7,2,3,4]=>[1,5,7,3,8,4,2,6]=>12
[7,3,1,8,5,6,2,4]=>[1,7,2,3,4,8,5,6]=>7
[4,3,5,1,7,8,2,6]=>[1,4,2,3,5,7,6,8]=>3
[3,5,2,6,1,7,8,4]=>[1,3,2,5,4,6,7,8]=>2
[5,2,3,6,1,7,8,4]=>[1,5,2,3,4,6,7,8]=>3
[7,1,3,4,6,8,2,5]=>[1,7,2,3,4,5,6,8]=>5
[3,7,2,4,6,8,1,5]=>[1,3,2,7,4,5,6,8]=>4
[6,2,4,5,1,7,8,3]=>[1,6,7,8,3,4,5,2]=>15
[5,6,4,7,1,3,8,2]=>[1,5,2,6,3,4,7,8]=>5
[5,4,6,3,1,7,8,2]=>[1,5,2,4,3,6,7,8]=>4
[3,7,5,8,6,1,4,2]=>[1,3,5,6,2,7,4,8]=>6
[7,3,8,5,6,4,1,2]=>[1,7,2,3,8,4,5,6]=>8
[1,3,7,8,5,6,4,2]=>[1,2,3,7,4,8,5,6]=>5
[7,8,1,5,3,6,4,2]=>[1,7,4,5,3,2,8,6]=>11
[3,7,1,8,5,6,4,2]=>[1,3,2,7,4,8,5,6]=>6
[6,1,4,3,5,2,8,7]=>[1,6,2,3,4,5,7,8]=>4
[3,8,1,5,6,7,2,4]=>[1,3,2,8,4,5,6,7]=>5
[4,2,3,1,8,7,5,6]=>[1,4,2,3,5,8,6,7]=>4
[7,2,4,8,6,5,1,3]=>[1,7,2,3,4,8,5,6]=>7
[6,1,3,8,7,2,5,4]=>[1,6,2,3,4,8,5,7]=>6
[4,1,5,2,8,7,6,3]=>[1,4,2,3,5,8,6,7]=>4
[5,1,3,7,2,8,6,4]=>[1,5,2,3,4,7,6,8]=>4
[3,4,5,1,8,7,6,2]=>[1,3,5,8,2,4,6,7]=>7
[4,5,8,2,1,7,6,3]=>[1,4,2,5,3,8,6,7]=>5
[3,6,2,5,1,4,8,7]=>[1,3,2,6,4,5,7,8]=>3
[5,3,1,7,2,8,6,4]=>[1,5,2,3,4,7,6,8]=>4
[8,1,2,7,4,3,6,5]=>[1,8,5,4,7,6,3,2]=>17
[5,3,1,6,8,4,7,2]=>[1,5,8,2,3,4,6,7]=>8
[1,3,8,7,4,6,5,2]=>[1,2,3,8,4,7,5,6]=>6
[1,2,8,7,6,3,5,4]=>[1,2,3,8,4,7,5,6]=>6
[2,1,7,8,4,6,3,5]=>[1,2,3,7,4,8,5,6]=>5
[5,6,2,4,1,3,8,7]=>[1,5,2,6,3,4,7,8]=>5
[6,8,3,2,5,7,1,4]=>[1,6,7,2,8,4,3,5]=>12
[1,2,3,4,8,7,5,6]=>[1,2,3,4,5,8,6,7]=>2
[7,1,8,4,6,5,2,3]=>[1,7,2,3,8,4,5,6]=>8
[8,4,7,1,5,6,3,2]=>[1,8,2,4,3,7,5,6]=>9
[8,7,1,4,5,6,3,2]=>[1,8,2,7,3,4,5,6]=>10
[8,7,4,5,6,1,3,2]=>[1,8,2,7,3,4,5,6]=>10
[2,3,8,6,7,5,1,4]=>[1,2,3,8,4,6,5,7]=>5
[1,3,8,6,7,5,2,4]=>[1,2,3,8,4,6,5,7]=>5
[4,8,6,1,7,2,5,3]=>[1,4,2,8,3,6,5,7]=>7
[1,2,8,6,7,5,3,4]=>[1,2,3,8,4,6,5,7]=>5
[1,2,8,6,7,3,5,4]=>[1,2,3,8,4,6,5,7]=>5
[4,7,8,1,3,6,2,5]=>[1,4,2,7,3,8,5,6]=>7
[6,5,3,4,1,2,8,7]=>[1,6,2,5,3,4,7,8]=>6
[7,4,3,1,5,6,2,8]=>[1,7,2,4,3,5,6,8]=>6
[7,2,4,5,8,6,1,3]=>[1,7,2,3,4,5,8,6]=>6
[5,6,4,7,1,3,2,8]=>[1,5,2,6,3,4,7,8]=>5
[3,5,1,6,4,7,2,8]=>[1,3,2,5,4,6,7,8]=>2
[3,5,2,6,1,7,4,8]=>[1,3,2,5,4,6,7,8]=>2
[3,5,2,6,4,7,1,8]=>[1,3,2,5,4,6,7,8]=>2
[2,3,1,5,8,4,7,6]=>[1,2,3,4,5,8,6,7]=>2
[5,3,1,6,2,7,4,8]=>[1,5,2,3,4,6,7,8]=>3
[3,6,1,7,4,2,5,8]=>[1,3,2,6,4,7,5,8]=>4
[3,6,2,1,7,4,5,8]=>[1,3,2,6,4,5,7,8]=>3
[3,6,2,7,4,1,5,8]=>[1,3,2,6,4,7,5,8]=>4
[3,6,1,7,5,2,4,8]=>[1,3,2,6,4,7,5,8]=>4
[4,3,7,2,5,6,1,8]=>[1,4,2,3,7,5,6,8]=>4
[3,7,1,6,5,2,4,8]=>[1,3,2,7,4,6,5,8]=>5
[5,1,4,3,2,7,8,6]=>[1,5,2,3,4,6,7,8]=>3
[8,4,7,3,1,6,5,2]=>[1,8,2,4,3,7,5,6]=>9
[2,3,6,8,7,4,5,1]=>[1,2,3,6,4,8,5,7]=>4
[6,1,4,8,7,2,5,3]=>[1,6,2,3,4,8,5,7]=>6
[6,8,3,5,7,1,4,2]=>[1,6,2,8,3,4,5,7]=>8
[3,4,5,6,8,7,1,2]=>[1,3,5,8,2,4,6,7]=>7
[1,2,5,8,3,4,7,6]=>[1,2,3,5,4,8,6,7]=>3
[1,2,5,7,3,6,4,8]=>[1,2,3,5,4,7,6,8]=>2
[2,1,6,8,4,3,7,5]=>[1,2,3,6,4,8,5,7]=>4
[7,4,8,1,5,6,2,3]=>[1,7,2,4,3,8,5,6]=>8
[1,2,7,8,6,3,4,5]=>[1,2,3,7,4,8,5,6]=>5
[3,7,1,8,6,4,2,5]=>[1,3,2,7,4,8,5,6]=>6
[5,4,6,3,1,2,8,7]=>[1,5,2,4,3,6,7,8]=>4
[7,3,4,6,8,5,1,2]=>[1,7,2,3,4,6,5,8]=>6
[3,8,2,6,7,4,5,1]=>[1,3,2,8,4,6,5,7]=>6
[2,1,7,6,8,5,3,4]=>[1,2,3,7,4,6,5,8]=>4
[7,2,3,6,8,4,1,5]=>[1,7,2,3,4,6,5,8]=>6
[6,4,8,3,5,1,7,2]=>[1,6,2,4,3,8,5,7]=>7
[3,5,1,8,4,6,7,2]=>[1,3,2,5,4,8,6,7]=>4
[7,2,3,4,8,5,1,6]=>[1,7,2,3,4,5,8,6]=>6
[1,2,8,7,5,6,3,4]=>[1,2,3,8,4,7,5,6]=>6
[3,8,1,4,6,7,5,2]=>[1,3,2,8,4,5,6,7]=>5
[3,8,2,5,1,7,6,4]=>[1,3,2,8,4,5,6,7]=>5
[8,1,3,4,5,7,6,2]=>[1,8,2,3,4,5,6,7]=>6
[3,6,1,5,7,2,8,4]=>[1,3,2,6,4,5,7,8]=>3
[5,7,8,4,2,6,3,1]=>[1,5,2,7,3,8,4,6]=>8
[6,8,4,5,7,1,3,2]=>[1,6,2,8,3,4,5,7]=>8
[5,8,4,6,1,7,3,2]=>[1,5,2,8,3,4,6,7]=>7
[7,5,4,1,8,6,3,2]=>[1,7,3,4,2,5,8,6]=>8
[1,8,2,5,6,3,4,7]=>[1,2,8,7,4,5,6,3]=>12
[1,3,7,5,6,2,4,8]=>[1,2,3,7,4,5,6,8]=>3
[6,5,4,3,8,1,7,2]=>[1,6,2,5,8,3,4,7]=>9
[1,5,4,2,6,3,8,7]=>[1,2,5,6,3,4,7,8]=>4
[2,1,4,3,6,5,9,8,7]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,4,3,6,5,9,8,7]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,3,4,6,5,9,8,7]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,3,5,4,7,6,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,2,5,4,7,6,10,9,8]=>[1,2,3,4,5,6,7,8,10,9]=>1
[1,2,3,5,4,7,6,10,9,8]=>[1,2,3,4,5,6,7,8,10,9]=>1
[1,2,3,4,5,7,6,10,9,8]=>[1,2,3,4,5,6,7,8,10,9]=>1
[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,8,10,9]=>1
[1,2,4,3,6,5,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,6,5,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[4,7,3,1,5,6,2,8]=>[1,4,2,7,3,5,6,8]=>5
[5,8,3,4,1,6,7,2]=>[1,5,2,8,3,4,6,7]=>7
[5,2,3,7,1,6,4,8]=>[1,5,2,3,4,7,6,8]=>4
[6,2,3,7,5,1,4,8]=>[1,6,2,3,4,7,5,8]=>5
[1,7,3,4,8,6,2,5]=>[1,2,7,3,4,5,8,6]=>5
[3,4,1,5,8,2,7,6]=>[1,3,2,4,5,8,6,7]=>3
[2,3,8,6,7,1,5,4]=>[1,2,3,8,4,6,5,7]=>5
[1,2,7,5,4,8,3,6]=>[1,2,3,7,4,5,6,8]=>3
[2,3,7,5,4,8,1,6]=>[1,2,3,7,4,5,6,8]=>3
[3,7,2,5,4,8,1,6]=>[1,3,2,7,4,5,6,8]=>4
[1,3,7,5,4,8,2,6]=>[1,2,3,7,4,5,6,8]=>3
[4,1,3,2,7,8,5,6]=>[1,4,2,3,5,7,6,8]=>3
[7,2,3,5,4,8,1,6]=>[1,7,2,3,4,5,6,8]=>5
[3,2,1,4,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>2
[2,3,5,8,1,4,7,6]=>[1,2,3,5,4,8,6,7]=>3
[2,3,6,8,1,4,7,5]=>[1,2,3,6,4,8,5,7]=>4
[4,7,6,1,8,5,2,3]=>[1,4,2,7,3,6,5,8]=>6
[7,4,8,1,6,5,2,3]=>[1,7,2,4,3,8,5,6]=>8
[6,5,1,8,2,7,3,4]=>[1,6,7,3,2,5,4,8]=>10
[6,8,5,7,4,1,2,3]=>[1,6,2,8,3,5,4,7]=>9
[4,6,2,1,5,7,8,3]=>[1,4,2,6,7,8,3,5]=>8
[6,2,3,8,4,1,7,5]=>[1,6,2,3,4,8,5,7]=>6
[4,7,5,2,1,6,3,8]=>[1,4,2,7,3,5,6,8]=>5
[4,2,7,1,6,3,5,8]=>[1,4,2,3,7,5,6,8]=>4
[6,3,2,8,7,1,4,5]=>[1,6,2,3,4,8,5,7]=>6
[2,1,5,8,4,7,3,6]=>[1,2,3,5,4,8,6,7]=>3
[3,2,1,4,8,7,5,6]=>[1,3,2,4,5,8,6,7]=>3
[5,8,4,3,2,6,7,1]=>[1,5,2,8,3,4,6,7]=>7
[6,4,8,1,3,2,7,5]=>[1,6,2,4,3,8,5,7]=>7
[7,3,4,5,2,8,1,6]=>[1,7,2,3,4,5,6,8]=>5
[7,6,8,5,1,3,2,4]=>[1,7,2,6,3,8,4,5]=>10
[4,1,7,2,6,8,3,5]=>[1,4,2,3,7,5,6,8]=>4
[6,2,3,8,7,1,5,4]=>[1,6,2,3,4,8,5,7]=>6
[5,1,8,7,4,2,6,3]=>[1,5,4,7,6,2,3,8]=>10
[4,6,5,2,7,3,8,1]=>[1,4,2,6,3,5,7,8]=>4
[1,7,4,5,8,3,2,6]=>[1,2,7,3,4,5,8,6]=>5
[2,7,4,5,8,1,3,6]=>[1,2,7,3,4,5,8,6]=>5
[1,3,6,4,7,2,8,5]=>[1,2,3,6,4,5,7,8]=>2
[5,1,3,4,2,7,8,6]=>[1,5,2,3,4,6,7,8]=>3
[6,2,4,7,8,1,5,3]=>[1,6,2,3,4,7,5,8]=>5
[6,8,5,7,4,2,3,1]=>[1,6,2,8,3,5,4,7]=>9
[5,6,8,4,1,3,7,2]=>[1,5,2,6,3,8,4,7]=>7
[2,3,7,8,5,6,1,4]=>[1,2,3,7,4,8,5,6]=>5
[4,8,6,1,5,2,7,3]=>[1,4,2,8,3,6,5,7]=>7
[7,3,4,8,5,6,1,2]=>[1,7,2,3,4,8,5,6]=>7
[1,7,2,4,8,6,3,5]=>[1,2,7,3,4,5,8,6]=>5
[7,6,3,8,1,5,4,2]=>[1,7,4,8,2,6,5,3]=>14
[7,1,3,2,4,8,6,5]=>[1,7,6,8,5,4,2,3]=>18
[7,2,1,3,4,5,8,6]=>[1,7,8,6,5,4,3,2]=>20
[1,8,3,5,6,2,4,7]=>[1,2,8,7,4,5,6,3]=>12
[7,8,4,1,3,6,2,5]=>[1,7,2,8,5,3,4,6]=>11
[4,8,6,1,7,5,3,2]=>[1,4,2,8,3,6,5,7]=>7
[7,4,6,2,3,5,1,8]=>[1,7,2,4,3,6,5,8]=>7
[4,7,5,1,6,8,2,3]=>[1,4,2,7,3,5,6,8]=>5
[1,2,7,5,6,8,3,4]=>[1,2,3,7,4,5,6,8]=>3
[7,8,4,6,3,2,1,5]=>[1,7,2,8,5,3,4,6]=>11
[7,4,5,2,6,8,1,3]=>[1,7,2,4,3,5,6,8]=>6
[6,5,1,4,3,2,8,7]=>[1,6,2,5,3,4,7,8]=>6
[7,5,4,2,3,8,1,6]=>[1,7,2,5,3,4,6,8]=>7
[7,1,3,8,5,6,2,4]=>[1,7,2,3,4,8,5,6]=>7
[6,7,5,8,4,1,3,2]=>[1,6,2,7,3,5,4,8]=>8
[8,2,1,7,4,3,6,5]=>[1,8,5,4,7,6,3,2]=>17
[8,5,2,6,3,7,4,1]=>[1,8,2,5,3,4,6,7]=>8
[1,7,4,2,5,8,6,3]=>[1,2,7,6,8,3,4,5]=>10
[6,3,1,8,5,2,7,4]=>[1,6,2,3,4,8,5,7]=>6
[7,3,4,8,1,6,2,5]=>[1,7,2,3,4,8,5,6]=>7
[5,3,4,8,1,2,7,6]=>[1,5,2,3,4,8,6,7]=>5
[3,7,5,8,6,1,2,4]=>[1,3,5,6,2,7,4,8]=>6
[5,2,8,6,7,1,3,4]=>[1,5,7,3,8,4,6,2]=>13
[4,3,5,2,8,7,1,6]=>[1,4,2,3,5,8,6,7]=>4
[1,7,4,6,8,2,5,3]=>[1,2,7,5,8,3,4,6]=>9
[8,1,3,6,7,5,4,2]=>[1,8,2,3,4,6,5,7]=>7
[8,3,1,4,5,7,6,2]=>[1,8,2,3,4,5,6,7]=>6
[6,3,4,1,7,2,8,5]=>[1,6,2,3,4,5,7,8]=>4
[7,3,4,2,8,5,1,6]=>[1,7,2,3,4,5,8,6]=>6
[5,6,2,7,1,3,8,4]=>[1,5,2,6,3,4,7,8]=>5
[4,1,5,2,7,6,3,8]=>[1,4,2,3,5,7,6,8]=>3
[7,2,5,3,1,8,6,4]=>[1,7,6,8,4,3,5,2]=>17
[8,5,7,4,3,6,2,1]=>[1,8,2,5,3,7,4,6]=>10
[7,2,6,8,4,1,5,3]=>[1,7,5,4,8,3,6,2]=>15
[5,4,8,3,2,1,7,6]=>[1,5,2,4,3,8,6,7]=>6
[4,3,7,2,1,6,5,8]=>[1,4,2,3,7,5,6,8]=>4
[3,5,1,8,4,2,7,6]=>[1,3,2,5,4,8,6,7]=>4
[6,1,3,5,4,2,7,8]=>[1,6,2,3,4,5,7,8]=>4
[6,3,1,5,4,7,8,2]=>[1,6,7,8,2,3,4,5]=>12
[2,3,4,5,6,7,8,10,9,1]=>[1,2,3,4,5,6,7,8,10,9]=>1
[6,3,4,7,8,2,5,1]=>[1,6,2,3,4,7,5,8]=>5
[1,2,7,5,3,8,4,6]=>[1,2,3,7,4,5,6,8]=>3
[7,3,4,8,6,5,1,2]=>[1,7,2,3,4,8,5,6]=>7
[4,2,7,1,3,8,5,6]=>[1,4,2,3,7,5,6,8]=>4
[6,4,2,3,7,1,5,8]=>[1,6,2,4,3,5,7,8]=>5
[6,1,3,4,7,2,5,8]=>[1,6,2,3,4,5,7,8]=>4
[7,8,2,1,6,3,5,4]=>[1,7,5,6,3,2,8,4]=>13
[6,2,3,7,4,1,5,8]=>[1,6,2,3,4,7,5,8]=>5
[6,3,1,4,5,7,8,2]=>[1,6,7,8,2,3,4,5]=>12
[5,7,4,1,2,6,3,8]=>[1,5,2,7,3,4,6,8]=>6
[1,2,8,7,6,5,3,4]=>[1,2,3,8,4,7,5,6]=>6
[4,7,1,3,8,2,6,5]=>[1,4,3,2,7,6,5,8]=>6
[6,4,1,3,7,2,8,5]=>[1,6,2,4,3,5,7,8]=>5
[5,1,4,8,6,3,2,7]=>[1,5,6,3,4,8,7,2]=>11
[8,5,3,6,1,4,7,2]=>[1,8,2,5,3,4,6,7]=>8
[3,6,2,1,5,4,8,7]=>[1,3,2,6,4,5,7,8]=>3
[2,1,5,8,4,3,7,6]=>[1,2,3,5,4,8,6,7]=>3
[3,5,2,7,1,6,4,8]=>[1,3,2,5,4,7,6,8]=>3
[3,5,2,7,1,4,6,8]=>[1,3,2,5,4,7,6,8]=>3
[3,5,2,7,4,1,6,8]=>[1,3,2,5,4,7,6,8]=>3
[3,7,2,5,1,8,4,6]=>[1,3,2,7,4,5,6,8]=>4
[1,3,4,5,6,7,9,2,8]=>[1,2,3,4,5,6,7,9,8]=>1
[2,3,4,5,6,7,1,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[2,1,4,5,6,7,8,9,3]=>[1,2,3,4,5,6,7,8,9]=>0
[5,8,3,4,1,7,6,2]=>[1,5,2,8,3,4,6,7]=>7
[5,2,4,6,8,7,3,1]=>[1,5,8,2,3,4,6,7]=>8
[8,5,6,2,1,3,7,4]=>[1,8,4,2,5,3,6,7]=>9
[5,1,3,7,2,4,6,8]=>[1,5,2,3,4,7,6,8]=>4
[5,3,2,7,4,1,6,8]=>[1,5,4,7,6,2,3,8]=>10
[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,6,7,9,8]=>1
[7,5,3,4,2,8,1,6]=>[1,7,2,5,3,4,6,8]=>7
[8,5,3,6,2,4,7,1]=>[1,8,2,5,3,4,6,7]=>8
[3,6,4,2,8,7,1,5]=>[1,3,4,2,6,7,5,8]=>4
[3,6,4,1,8,7,2,5]=>[1,3,4,2,6,7,5,8]=>4
[7,1,3,4,5,8,2,6]=>[1,7,2,3,4,5,6,8]=>5
[7,2,3,1,4,8,6,5]=>[1,7,6,8,5,4,2,3]=>18
[7,6,5,8,1,3,2,4]=>[1,7,2,6,3,5,4,8]=>9
[5,1,3,4,2,6,7,8]=>[1,5,2,3,4,6,7,8]=>3
[5,3,1,4,2,6,7,8]=>[1,5,2,3,4,6,7,8]=>3
[3,6,2,1,7,4,8,5]=>[1,3,2,6,4,5,7,8]=>3
[3,6,1,7,5,4,2,8]=>[1,3,2,6,4,7,5,8]=>4
[5,1,4,3,2,6,7,8]=>[1,5,2,3,4,6,7,8]=>3
[5,4,1,3,2,6,7,8]=>[1,5,2,4,3,6,7,8]=>4
[6,8,4,5,7,2,3,1]=>[1,6,2,8,3,4,5,7]=>8
[6,3,1,7,5,2,4,8]=>[1,6,2,3,4,7,5,8]=>5
[8,7,5,2,4,6,3,1]=>[1,8,2,7,3,5,4,6]=>11
[5,2,8,7,4,1,6,3]=>[1,5,4,7,6,2,3,8]=>10
[8,5,7,6,3,1,4,2]=>[1,8,2,5,3,7,4,6]=>10
[8,3,4,7,1,6,5,2]=>[1,8,2,3,4,7,5,6]=>8
[8,3,4,6,5,1,7,2]=>[1,8,2,3,4,6,5,7]=>7
[6,1,3,7,4,2,5,8]=>[1,6,2,3,4,7,5,8]=>5
[8,1,4,3,5,7,6,2]=>[1,8,2,3,4,5,6,7]=>6
[4,8,6,2,7,1,5,3]=>[1,4,2,8,3,6,5,7]=>7
[4,6,7,2,5,3,1,8]=>[1,4,2,6,3,7,5,8]=>5
[1,7,2,4,8,5,3,6]=>[1,2,7,3,4,5,8,6]=>5
[1,2,6,7,8,4,3,5]=>[1,2,3,6,4,7,5,8]=>3
[8,1,4,6,7,3,5,2]=>[1,8,2,3,4,6,5,7]=>7
[2,3,6,5,7,1,8,4]=>[1,2,3,6,4,5,7,8]=>2
[8,7,2,4,6,5,3,1]=>[1,8,2,7,3,4,5,6]=>10
[1,2,4,3,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>2
[4,8,3,2,5,7,6,1]=>[1,4,2,8,3,5,6,7]=>6
[8,3,4,7,6,2,5,1]=>[1,8,2,3,4,7,5,6]=>8
[8,2,1,3,4,6,7,5]=>[1,8,5,4,3,2,6,7]=>12
[6,4,7,3,8,2,1,5]=>[1,6,2,4,3,7,5,8]=>6
[2,3,5,7,4,8,6,1]=>[1,2,3,5,4,7,6,8]=>2
[5,7,6,3,2,4,1,8]=>[1,5,2,7,3,6,4,8]=>7
[7,3,2,8,5,6,1,4]=>[1,7,2,3,4,8,5,6]=>7
[2,7,1,5,8,4,3,6]=>[1,2,7,3,4,5,8,6]=>5
[7,5,2,3,8,4,1,6]=>[1,7,2,5,8,6,4,3]=>13
[9,2,3,4,5,6,7,8,1]=>[1,9,2,3,4,5,6,7,8]=>7
[1,2,4,3,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,4,5,3,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,4,3,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[7,3,8,4,6,5,1,2]=>[1,7,2,3,8,4,5,6]=>8
[4,2,5,1,7,8,3,6]=>[1,4,2,3,5,7,6,8]=>3
[4,7,3,2,6,8,1,5]=>[1,4,2,7,3,5,6,8]=>5
[7,3,4,6,8,1,2,5]=>[1,7,2,3,4,6,5,8]=>6
[1,5,4,7,6,2,8,3]=>[1,2,5,6,3,4,7,8]=>4
[3,1,2,4,8,5,7,6]=>[1,3,2,4,5,8,6,7]=>3
[8,1,7,4,2,3,5,6]=>[1,8,6,3,7,5,2,4]=>16
[5,8,2,6,1,4,7,3]=>[1,5,2,8,3,4,6,7]=>7
[2,1,7,4,6,8,3,5]=>[1,2,3,7,4,5,6,8]=>3
[8,6,4,2,7,3,5,1]=>[1,8,2,6,3,4,5,7]=>9
[2,1,8,3,5,7,6,4]=>[1,2,3,8,4,5,6,7]=>4
[5,8,4,3,1,6,7,2]=>[1,5,2,8,3,4,6,7]=>7
[6,5,8,7,3,2,4,1]=>[1,6,2,5,3,8,4,7]=>8
[8,5,6,7,3,1,4,2]=>[1,8,2,5,3,6,4,7]=>9
[4,7,5,2,3,8,1,6]=>[1,4,2,7,3,5,6,8]=>5
[1,2,8,3,5,7,6,4]=>[1,2,3,8,4,5,6,7]=>4
[1,3,8,2,5,7,6,4]=>[1,2,3,8,4,5,6,7]=>4
[2,3,8,1,5,7,6,4]=>[1,2,3,8,4,5,6,7]=>4
[6,1,4,5,7,2,3,8]=>[1,6,2,3,4,5,7,8]=>4
[8,2,1,5,3,7,4,6]=>[1,8,6,7,4,5,3,2]=>19
[4,7,8,1,2,6,3,5]=>[1,4,2,7,3,8,5,6]=>7
[5,7,8,1,2,6,3,4]=>[1,5,2,7,3,8,4,6]=>8
[4,6,7,2,1,3,5,8]=>[1,4,2,6,3,7,5,8]=>5
[3,6,2,7,5,4,1,8]=>[1,3,2,6,4,7,5,8]=>4
[8,1,2,7,4,5,3,6]=>[1,8,6,5,4,7,3,2]=>18
[8,1,3,7,5,6,4,2]=>[1,8,2,3,4,7,5,6]=>8
[1,3,8,2,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>4
[4,3,5,1,2,7,6,8]=>[1,4,2,3,5,6,7,8]=>2
[6,1,4,5,3,2,7,8]=>[1,6,2,3,4,5,7,8]=>4
[3,5,2,8,1,6,7,4]=>[1,3,2,5,4,8,6,7]=>4
[3,7,2,8,6,5,1,4]=>[1,3,2,7,4,8,5,6]=>6
[1,7,3,5,4,8,6,2]=>[1,2,7,6,8,3,4,5]=>10
[6,8,7,3,5,2,4,1]=>[1,6,2,8,3,7,4,5]=>10
[2,3,8,7,5,6,1,4]=>[1,2,3,8,4,7,5,6]=>6
[6,8,4,1,5,2,7,3]=>[1,6,2,8,3,4,5,7]=>8
[5,8,4,6,1,2,7,3]=>[1,5,2,8,3,4,6,7]=>7
[3,8,1,7,6,2,5,4]=>[1,3,2,8,4,7,5,6]=>7
[6,1,5,2,4,8,3,7]=>[1,6,8,7,3,5,4,2]=>17
[1,3,4,5,6,7,9,8,2]=>[1,2,3,4,5,6,7,9,8]=>1
[1,3,4,5,6,7,8,10,9,2]=>[1,2,3,4,5,6,7,8,10,9]=>1
[5,8,4,6,1,3,7,2]=>[1,5,2,8,3,4,6,7]=>7
[4,6,1,2,5,7,8,3]=>[1,4,2,6,7,8,3,5]=>8
[1,2,8,6,4,5,7,3]=>[1,2,3,8,4,6,5,7]=>5
[9,3,2,4,5,6,7,8,1]=>[1,9,2,3,4,5,6,7,8]=>7
[10,2,3,4,5,6,7,8,9,1]=>[1,10,2,3,4,5,6,7,8,9]=>8
[8,5,7,6,3,2,4,1]=>[1,8,2,5,3,7,4,6]=>10
[8,3,2,7,4,6,5,1]=>[1,8,2,3,4,7,5,6]=>8
[7,1,4,8,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>7
[4,3,5,1,6,7,8,2]=>[1,4,2,3,5,6,7,8]=>2
[6,4,8,3,2,1,7,5]=>[1,6,2,4,3,8,5,7]=>7
[6,5,8,3,1,2,7,4]=>[1,6,2,5,3,8,4,7]=>8
[6,4,2,3,5,1,8,7]=>[1,6,2,4,3,5,7,8]=>5
[5,2,3,6,1,4,8,7]=>[1,5,2,3,4,6,7,8]=>3
[7,2,3,4,5,8,1,6]=>[1,7,2,3,4,5,6,8]=>5
[2,1,8,6,4,5,7,3]=>[1,2,3,8,4,6,5,7]=>5
[6,3,4,7,8,2,1,5]=>[1,6,2,3,4,7,5,8]=>5
[4,8,5,1,3,6,7,2]=>[1,4,2,8,3,5,6,7]=>6
[7,1,4,8,6,3,2,5]=>[1,7,2,3,4,8,5,6]=>7
[4,1,8,5,6,7,2,3]=>[1,4,5,6,7,2,3,8]=>8
[7,8,4,1,6,5,2,3]=>[1,7,2,8,3,4,5,6]=>9
[5,3,2,6,8,4,7,1]=>[1,5,8,2,3,4,6,7]=>8
[2,1,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,7,8,9]=>0
[2,1,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[2,1,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,1,4,5,6,8,9,7]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,2,4,5,6,8,9,7]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,1,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,2,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[2,1,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[7,6,4,1,8,3,2,5]=>[1,7,2,6,3,4,5,8]=>8
[7,5,4,6,1,3,2,8]=>[1,7,2,5,3,4,6,8]=>7
[6,8,3,5,7,2,4,1]=>[1,6,2,8,3,4,5,7]=>8
[1,4,6,2,7,5,3,8]=>[1,2,4,3,6,5,7,8]=>2
[1,7,4,6,8,3,5,2]=>[1,2,7,5,8,3,4,6]=>9
[1,5,2,4,6,3,8,7]=>[1,2,5,6,3,4,7,8]=>4
[4,7,8,1,6,5,3,2]=>[1,4,2,7,3,8,5,6]=>7
[8,1,3,7,6,5,4,2]=>[1,8,2,3,4,7,5,6]=>8
[4,5,7,2,1,6,3,8]=>[1,4,2,5,3,7,6,8]=>4
[8,5,3,6,1,7,4,2]=>[1,8,2,5,3,4,6,7]=>8
[4,6,5,1,7,3,8,2]=>[1,4,2,6,3,5,7,8]=>4
[6,3,2,5,1,7,4,8]=>[1,6,7,4,5,2,3,8]=>12
[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[6,2,3,4,7,1,8,5]=>[1,6,2,3,4,5,7,8]=>4
[6,3,2,4,7,1,8,5]=>[1,6,2,3,4,5,7,8]=>4
[1,2,6,5,3,4,7,8]=>[1,2,3,6,4,5,7,8]=>2
[10,3,4,5,6,7,8,9,1,2]=>[1,10,2,3,4,5,6,7,8,9]=>8
[9,3,4,5,6,7,8,1,10,2]=>[1,9,10,2,3,4,5,6,7,8]=>14
[11,3,4,5,6,7,8,9,10,1,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>9
[7,8,4,1,5,6,2,3]=>[1,7,2,8,3,4,5,6]=>9
[1,3,7,8,5,6,2,4]=>[1,2,3,7,4,8,5,6]=>5
[6,2,5,1,4,8,3,7]=>[1,6,8,7,3,5,4,2]=>17
[8,5,4,1,3,6,7,2]=>[1,8,2,5,3,4,6,7]=>8
[8,3,1,7,5,6,4,2]=>[1,8,2,3,4,7,5,6]=>8
[8,4,7,1,3,6,5,2]=>[1,8,2,4,3,7,5,6]=>9
[8,9,3,4,5,6,7,1,2]=>[1,8,2,9,3,4,5,6,7]=>11
[3,7,1,2,5,6,4,8]=>[1,3,2,7,4,5,6,8]=>4
[5,2,4,6,1,3,8,7]=>[1,5,2,3,4,6,7,8]=>3
[7,2,3,4,6,8,1,5]=>[1,7,2,3,4,5,6,8]=>5
[8,3,4,6,7,5,1,2]=>[1,8,2,3,4,6,5,7]=>7
[4,8,5,2,6,7,1,3]=>[1,4,2,8,3,5,6,7]=>6
[7,2,4,5,6,8,1,3]=>[1,7,2,3,4,5,6,8]=>5
[7,3,8,5,6,2,1,4]=>[1,7,2,3,8,4,5,6]=>8
[6,4,8,2,3,1,7,5]=>[1,6,2,4,3,8,5,7]=>7
[6,4,7,2,3,1,5,8]=>[1,6,2,4,3,7,5,8]=>6
[6,8,1,5,4,2,7,3]=>[1,6,2,8,3,4,5,7]=>8
[1,3,2,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,2,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,5,2,4,6,3,7,8]=>[1,2,5,6,3,4,7,8]=>4
[1,2,7,3,6,8,4,5]=>[1,2,3,7,4,5,6,8]=>3
[8,2,3,4,5,6,7,9,1]=>[1,8,9,2,3,4,5,6,7]=>12
[7,2,3,4,5,6,9,8,1]=>[1,7,9,2,3,4,5,6,8]=>11
[9,2,3,4,5,6,7,8,10,1]=>[1,9,10,2,3,4,5,6,7,8]=>14
[5,2,4,8,1,6,7,3]=>[1,5,2,3,4,8,6,7]=>5
[1,3,7,5,6,8,4,2]=>[1,2,3,7,4,5,6,8]=>3
[6,3,1,5,8,7,2,4]=>[1,6,7,2,3,4,5,8]=>8
[7,2,4,8,6,3,1,5]=>[1,7,2,3,4,8,5,6]=>7
[4,7,5,2,3,6,1,8]=>[1,4,2,7,3,5,6,8]=>5
[1,7,3,6,8,4,5,2]=>[1,2,7,5,8,3,4,6]=>9
[4,6,8,2,7,3,5,1]=>[1,4,2,6,3,8,5,7]=>6
[3,5,2,6,4,7,8,1]=>[1,3,2,5,4,6,7,8]=>2
[3,1,6,4,8,7,5,2]=>[1,3,6,7,5,8,2,4]=>11
[5,8,2,1,4,6,7,3]=>[1,5,4,2,8,3,6,7]=>8
[7,1,3,8,4,5,6,2]=>[1,7,6,5,4,8,2,3]=>16
[5,6,4,7,1,2,8,3]=>[1,5,2,6,3,4,7,8]=>5
[4,2,5,1,3,7,8,6]=>[1,4,2,3,5,6,7,8]=>2
[3,5,1,4,2,7,8,6]=>[1,3,2,5,4,6,7,8]=>2
[4,5,8,1,2,6,7,3]=>[1,4,2,5,3,8,6,7]=>5
[4,5,7,2,3,6,1,8]=>[1,4,2,5,3,7,6,8]=>4
[2,3,4,5,6,1,8,7,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,1,7,6,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,1,6,5,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,1,5,4,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,8,5,2,6,7,4]=>[1,2,3,8,4,5,6,7]=>4
[8,5,3,2,1,6,7,4]=>[1,8,4,2,5,3,6,7]=>9
[6,8,5,3,1,7,2,4]=>[1,6,7,2,8,4,3,5]=>12
[5,1,3,7,2,6,4,8]=>[1,5,2,3,4,7,6,8]=>4
[7,4,5,1,6,8,3,2]=>[1,7,3,5,6,8,2,4]=>12
[1,4,6,2,5,3,7,8]=>[1,2,4,3,6,5,7,8]=>2
[1,5,4,2,6,3,7,8]=>[1,2,5,6,3,4,7,8]=>4
[1,2,4,3,8,7,5,6]=>[1,2,3,4,5,8,6,7]=>2
[1,7,2,4,8,6,5,3]=>[1,2,7,5,8,3,4,6]=>9
[7,4,8,2,6,3,1,5]=>[1,7,2,4,3,8,5,6]=>8
[7,8,2,4,6,5,1,3]=>[1,7,2,8,3,4,5,6]=>9
[6,8,7,5,3,1,4,2]=>[1,6,2,8,3,7,4,5]=>10
[8,7,3,4,6,5,1,2]=>[1,8,2,7,3,4,5,6]=>10
[6,8,7,5,1,2,4,3]=>[1,6,2,8,3,7,4,5]=>10
[4,8,7,1,2,6,5,3]=>[1,4,2,8,3,7,5,6]=>8
[11,2,3,4,5,6,7,8,9,10,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>9
[10,3,2,4,5,6,7,8,9,1]=>[1,10,2,3,4,5,6,7,8,9]=>8
[1,3,4,5,6,7,8,2,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,4,5,6,7,8,10,2,9]=>[1,2,3,4,5,6,7,8,10,9]=>1
[2,1,4,5,6,7,9,3,8]=>[1,2,3,4,5,6,7,9,8]=>1
[2,1,4,5,6,7,8,3,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,4,5,6,7,8,9,2,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[5,8,6,2,4,7,1,3]=>[1,5,4,2,8,3,6,7]=>8
[2,7,1,5,4,8,6,3]=>[1,2,7,6,8,3,4,5]=>10
[8,1,4,5,6,3,7,2]=>[1,8,2,3,4,5,6,7]=>6
[7,3,1,5,6,4,2,8]=>[1,7,2,3,4,5,6,8]=>5
[7,3,4,1,6,8,2,5]=>[1,7,2,3,4,5,6,8]=>5
[7,3,4,1,6,5,8,2]=>[1,7,8,2,3,4,5,6]=>10
[1,8,3,4,5,2,6,7]=>[1,2,8,7,6,3,4,5]=>12
[1,2,5,7,4,3,6,8]=>[1,2,3,5,4,7,6,8]=>2
[4,8,3,1,6,5,7,2]=>[1,4,2,8,3,5,6,7]=>6
[6,5,8,4,2,1,7,3]=>[1,6,2,5,3,8,4,7]=>8
[6,8,7,4,5,1,3,2]=>[1,6,2,8,3,7,4,5]=>10
[6,1,3,5,4,2,8,7]=>[1,6,2,3,4,5,7,8]=>4
[3,5,2,1,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>2
[9,3,4,2,5,6,7,8,1]=>[1,9,2,3,4,5,6,7,8]=>7
[1,2,3,4,5,7,9,8,6]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,3,4,6,7,9,8,5]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,3,5,6,7,9,8,4]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,3,4,5,6,8,10,9,7]=>[1,2,3,4,5,6,7,8,10,9]=>1
[1,2,3,4,5,7,8,10,9,6]=>[1,2,3,4,5,6,7,8,10,9]=>1
[1,2,3,4,6,7,8,10,9,5]=>[1,2,3,4,5,6,7,8,10,9]=>1
[7,1,3,4,5,6,8,2]=>[1,7,8,2,3,4,5,6]=>10
[5,8,7,3,1,6,4,2]=>[1,5,2,8,3,7,4,6]=>9
[5,8,4,2,1,7,6,3]=>[1,5,2,8,3,4,6,7]=>7
[5,4,8,3,1,7,6,2]=>[1,5,2,4,3,8,6,7]=>6
[6,8,5,7,4,2,1,3]=>[1,6,2,8,3,5,4,7]=>9
[4,7,6,2,8,5,1,3]=>[1,4,2,7,3,6,5,8]=>6
[1,7,2,5,8,4,3,6]=>[1,2,7,3,4,5,8,6]=>5
[4,8,7,2,5,6,3,1]=>[1,4,2,8,3,7,5,6]=>8
[5,4,6,3,1,7,2,8]=>[1,5,2,4,3,6,7,8]=>4
[7,2,3,8,4,5,6,1]=>[1,7,6,5,4,8,2,3]=>16
[7,3,2,8,4,6,1,5]=>[1,7,2,3,4,8,5,6]=>7
[1,5,2,7,6,3,4,8]=>[1,2,5,6,3,4,7,8]=>4
[3,2,6,4,8,7,5,1]=>[1,3,6,7,5,8,2,4]=>11
[3,8,2,4,5,7,6,1]=>[1,3,2,8,4,5,6,7]=>5
[7,5,6,4,1,3,2,8]=>[1,7,2,5,3,6,4,8]=>8
[7,4,1,3,5,6,2,8]=>[1,7,2,4,3,5,6,8]=>6
[4,5,8,2,3,6,7,1]=>[1,4,2,5,3,8,6,7]=>5
[4,3,5,2,8,6,7,1]=>[1,4,2,3,5,8,6,7]=>4
[2,3,5,8,4,6,7,1]=>[1,2,3,5,4,8,6,7]=>3
[3,5,2,8,4,6,7,1]=>[1,3,2,5,4,8,6,7]=>4
[5,3,4,8,2,6,7,1]=>[1,5,2,3,4,8,6,7]=>5
[5,4,8,3,2,6,7,1]=>[1,5,2,4,3,8,6,7]=>6
[1,2,7,6,8,4,3,5]=>[1,2,3,7,4,6,5,8]=>4
[1,2,6,8,4,3,7,5]=>[1,2,3,6,4,8,5,7]=>4
[7,6,2,4,5,3,1,8]=>[1,7,2,6,3,4,5,8]=>8
[7,5,6,1,3,4,2,8]=>[1,7,2,5,3,6,4,8]=>8
[1,7,3,5,8,4,2,6]=>[1,2,7,3,4,5,8,6]=>5
[3,7,1,2,5,8,4,6]=>[1,3,2,7,4,5,6,8]=>4
[3,1,2,5,7,8,6,4]=>[1,3,2,4,5,7,6,8]=>2
[7,3,1,5,4,6,2,8]=>[1,7,2,3,4,5,6,8]=>5
[7,4,8,3,5,6,1,2]=>[1,7,2,4,3,8,5,6]=>8
[5,7,6,4,2,3,1,8]=>[1,5,2,7,3,6,4,8]=>7
[7,4,8,2,5,6,1,3]=>[1,7,2,4,3,8,5,6]=>8
[6,1,4,8,5,2,7,3]=>[1,6,2,3,4,8,5,7]=>6
[5,4,8,1,2,6,7,3]=>[1,5,2,4,3,8,6,7]=>6
[5,2,3,8,1,7,4,6]=>[1,5,2,3,4,8,6,7]=>5
[2,3,5,7,1,6,4,8]=>[1,2,3,5,4,7,6,8]=>2
[1,2,8,6,3,5,7,4]=>[1,2,3,8,4,6,5,7]=>5
[2,3,7,5,6,8,4,1]=>[1,2,3,7,4,5,6,8]=>3
[2,1,3,4,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>2
[1,3,2,4,5,6,9,8,7]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,9,11,10]=>1
[7,2,4,5,3,8,1,6]=>[1,7,2,3,4,5,6,8]=>5
[3,7,2,1,6,8,4,5]=>[1,3,2,7,4,5,6,8]=>4
[7,2,4,6,8,3,1,5]=>[1,7,2,3,4,6,5,8]=>6
[6,2,4,7,8,1,3,5]=>[1,6,2,3,4,7,5,8]=>5
[2,3,7,6,5,1,4,8]=>[1,2,3,7,4,6,5,8]=>4
[6,2,3,5,7,1,4,8]=>[1,6,2,3,4,5,7,8]=>4
[7,1,3,6,8,5,2,4]=>[1,7,2,3,4,6,5,8]=>6
[2,3,1,4,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>2
[3,5,7,6,1,8,4,2]=>[1,3,7,4,6,8,2,5]=>10
[3,5,7,6,2,8,4,1]=>[1,3,7,4,6,8,2,5]=>10
[4,8,3,1,5,7,6,2]=>[1,4,2,8,3,5,6,7]=>6
[6,8,3,4,7,1,5,2]=>[1,6,2,8,3,4,5,7]=>8
[7,3,1,4,6,5,2,8]=>[1,7,2,3,4,5,6,8]=>5
[7,3,1,4,8,5,2,6]=>[1,7,2,3,4,5,8,6]=>6
[7,2,4,3,8,5,1,6]=>[1,7,2,3,4,5,8,6]=>6
[1,6,3,2,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>12
[4,7,8,1,5,6,2,3]=>[1,4,2,7,3,8,5,6]=>7
[2,3,6,8,4,1,7,5]=>[1,2,3,6,4,8,5,7]=>4
[9,1,3,4,5,6,7,8,2]=>[1,9,2,3,4,5,6,7,8]=>7
[10,1,3,4,5,6,7,8,9,2]=>[1,10,2,3,4,5,6,7,8,9]=>8
[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>1
[1,2,7,4,5,8,3,6]=>[1,2,3,7,4,5,6,8]=>3
[11,1,3,4,5,6,7,8,9,10,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>9
[7,2,3,5,8,4,1,6]=>[1,7,2,3,4,5,8,6]=>6
[7,1,4,8,3,6,2,5]=>[1,7,2,3,4,8,5,6]=>7
[3,8,1,7,2,6,5,4]=>[1,3,2,8,4,7,5,6]=>7
[7,6,4,2,5,3,1,8]=>[1,7,2,6,3,4,5,8]=>8
[1,3,6,8,7,2,5,4]=>[1,2,3,6,4,8,5,7]=>4
[6,8,2,5,7,1,4,3]=>[1,6,2,8,3,4,5,7]=>8
[4,5,8,1,3,7,2,6]=>[1,4,2,5,3,8,6,7]=>5
[5,3,4,7,1,6,2,8]=>[1,5,2,3,4,7,6,8]=>4
[7,1,4,8,6,5,2,3]=>[1,7,2,3,4,8,5,6]=>7
[5,4,7,3,2,8,1,6]=>[1,5,2,4,3,7,6,8]=>5
[5,4,8,3,2,7,1,6]=>[1,5,2,4,3,8,6,7]=>6
[6,3,4,8,1,2,7,5]=>[1,6,2,3,4,8,5,7]=>6
[1,3,5,8,4,7,2,6]=>[1,2,3,5,4,8,6,7]=>3
[6,3,8,5,1,7,4,2]=>[1,6,7,4,5,2,3,8]=>12
[8,3,4,5,1,6,7,2]=>[1,8,2,3,4,5,6,7]=>6
[3,1,2,4,8,6,7,5]=>[1,3,2,4,5,8,6,7]=>3
[3,1,2,5,8,7,4,6]=>[1,3,2,4,5,8,6,7]=>3
[2,3,5,7,4,8,1,6]=>[1,2,3,5,4,7,6,8]=>2
[4,3,5,1,8,7,2,6]=>[1,4,2,3,5,8,6,7]=>4
[7,1,4,5,3,6,2,8]=>[1,7,2,3,4,5,6,8]=>5
[8,6,1,3,2,7,4,5]=>[1,8,5,2,6,7,4,3]=>14
[6,2,3,7,8,1,5,4]=>[1,6,2,3,4,7,5,8]=>5
[2,7,4,3,8,5,1,6]=>[1,2,7,3,4,5,8,6]=>5
[5,2,3,6,8,4,7,1]=>[1,5,8,2,3,4,6,7]=>8
[6,2,3,4,7,8,5,1]=>[1,6,8,2,3,4,5,7]=>9
[6,2,3,7,8,1,4,5]=>[1,6,2,3,4,7,5,8]=>5
[7,4,3,2,5,8,1,6]=>[1,7,2,4,3,5,6,8]=>6
[7,2,4,3,5,8,1,6]=>[1,7,2,3,4,5,6,8]=>5
[6,1,3,8,4,2,7,5]=>[1,6,2,3,4,8,5,7]=>6
[1,2,6,8,7,4,3,5]=>[1,2,3,6,4,8,5,7]=>4
[3,7,2,8,1,6,4,5]=>[1,3,2,7,4,8,5,6]=>6
[4,2,7,1,6,8,3,5]=>[1,4,2,3,7,5,6,8]=>4
[6,1,3,4,7,2,8,5]=>[1,6,2,3,4,5,7,8]=>4
[8,6,1,4,7,3,5,2]=>[1,8,2,6,3,4,5,7]=>9
[8,7,1,4,6,5,3,2]=>[1,8,2,7,3,4,5,6]=>10
[2,3,7,1,6,5,4,8]=>[1,2,3,7,4,5,6,8]=>3
[3,5,1,6,4,2,7,8]=>[1,3,2,5,4,6,7,8]=>2
[6,4,3,1,7,2,5,8]=>[1,6,2,4,3,5,7,8]=>5
[6,3,2,5,7,1,4,8]=>[1,6,2,3,4,5,7,8]=>4
[2,5,4,1,6,3,7,8]=>[1,2,5,6,3,4,7,8]=>4
[5,8,2,6,1,7,4,3]=>[1,5,2,8,3,4,6,7]=>7
[1,2,6,4,7,3,8,5]=>[1,2,3,6,4,5,7,8]=>2
[4,2,5,1,8,6,7,3]=>[1,4,2,3,5,8,6,7]=>4
[8,4,6,2,5,3,7,1]=>[1,8,2,4,3,6,5,7]=>8
[5,7,4,3,2,6,1,8]=>[1,5,2,7,3,4,6,8]=>6
[5,7,4,2,1,6,3,8]=>[1,5,2,7,3,4,6,8]=>6
[1,7,4,5,2,8,6,3]=>[1,2,7,6,8,3,4,5]=>10
[7,6,1,4,5,3,2,8]=>[1,7,2,6,3,4,5,8]=>8
[8,6,4,2,5,3,7,1]=>[1,8,2,6,3,4,5,7]=>9
[3,5,2,8,4,7,1,6]=>[1,3,2,5,4,8,6,7]=>4
[6,4,8,3,7,2,1,5]=>[1,6,2,4,3,8,5,7]=>7
[3,6,2,8,7,4,1,5]=>[1,3,2,6,4,8,5,7]=>5
[5,2,1,3,8,7,6,4]=>[1,5,8,4,3,2,6,7]=>11
[1,3,2,4,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>2
[1,3,4,2,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>2
[3,2,1,4,8,5,7,6]=>[1,3,2,4,5,8,6,7]=>3
[6,5,1,4,2,7,3,8]=>[1,6,7,3,2,5,4,8]=>10
[1,2,6,8,7,3,4,5]=>[1,2,3,6,4,8,5,7]=>4
[6,3,4,2,7,8,5,1]=>[1,6,8,2,3,4,5,7]=>9
[8,7,4,5,1,6,3,2]=>[1,8,2,7,3,4,5,6]=>10
[2,1,4,3,6,5,8,10,9,7]=>[1,2,3,4,5,6,7,8,10,9]=>1
[6,8,7,5,4,1,2,3]=>[1,6,2,8,3,7,4,5]=>10
[8,5,7,2,3,6,4,1]=>[1,8,2,5,3,7,4,6]=>10
[6,2,1,3,4,7,8,5]=>[1,6,7,8,5,4,3,2]=>18
[2,3,4,1,6,7,8,9,5]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,6,1,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,3,6,7,8,9,5]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,1,5,6,7,8,9,4]=>[1,2,3,4,5,6,7,8,9]=>0
[6,1,4,3,8,7,2,5]=>[1,6,7,2,3,4,5,8]=>8
[6,1,3,8,7,2,4,5]=>[1,6,2,3,4,8,5,7]=>6
[1,3,8,7,6,5,2,4]=>[1,2,3,8,4,7,5,6]=>6
[1,2,5,7,4,8,6,3]=>[1,2,3,5,4,7,6,8]=>2
[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,5,4,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[4,8,1,2,6,7,5,3]=>[1,4,2,8,3,5,6,7]=>6
[4,8,2,1,6,7,5,3]=>[1,4,2,8,3,5,6,7]=>6
[2,1,4,3,6,5,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,3,6,7,8,5,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,3,6,7,8,9,10,5]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,5,6,3,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,5,6,3,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,5,6,7,8,3,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,5,6,7,8,9,10,3]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,1,6,5,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,1,6,5,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,1,6,7,8,5,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,1,6,7,8,9,10,5]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,6,1,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,6,7,8,1,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,6,5,7,3,8,4]=>[1,2,3,6,4,5,7,8]=>2
[5,8,3,2,4,7,6,1]=>[1,5,4,2,8,3,6,7]=>8
[8,4,5,3,1,6,7,2]=>[1,8,2,4,3,5,6,7]=>7
[8,4,2,3,6,7,5,1]=>[1,8,2,4,3,5,6,7]=>7
[8,1,2,3,4,5,9,7,6]=>[1,8,7,9,6,5,4,3,2]=>26
[3,6,4,1,5,7,2,8]=>[1,3,4,2,6,7,5,8]=>4
[5,1,3,4,2,6,8,7]=>[1,5,2,3,4,6,7,8]=>3
[4,2,5,1,8,7,3,6]=>[1,4,2,3,5,8,6,7]=>4
[5,8,3,1,4,7,6,2]=>[1,5,4,2,8,3,6,7]=>8
[4,3,5,1,6,2,7,8]=>[1,4,2,3,5,6,7,8]=>2
[5,4,8,3,1,7,2,6]=>[1,5,2,4,3,8,6,7]=>6
[8,7,6,3,5,4,1,2]=>[1,8,2,7,3,6,4,5]=>12
[5,4,8,2,1,3,7,6]=>[1,5,2,4,3,8,6,7]=>6
[5,6,8,1,2,3,7,4]=>[1,5,2,6,3,8,4,7]=>7
[6,4,7,3,5,2,1,8]=>[1,6,2,4,3,7,5,8]=>6
[1,3,5,8,2,6,7,4]=>[1,2,3,5,4,8,6,7]=>3
[7,3,2,4,8,5,1,6]=>[1,7,2,3,4,5,8,6]=>6
[2,1,6,8,5,3,7,4]=>[1,2,3,6,4,8,5,7]=>4
[3,5,1,8,4,7,6,2]=>[1,3,2,5,4,8,6,7]=>4
[3,6,1,8,5,4,7,2]=>[1,3,2,6,4,8,5,7]=>5
[1,3,4,2,6,5,8,7,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,1,4,6,5,8,7,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,4,2,6,5,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,7,9,8]=>1
[1,2,3,4,5,7,8,6,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,1,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>1
[3,2,5,6,8,4,7,1]=>[1,3,5,8,2,4,6,7]=>7
[8,4,5,2,6,3,7,1]=>[1,8,2,4,3,5,6,7]=>7
[4,7,3,1,6,8,2,5]=>[1,4,2,7,3,5,6,8]=>5
[1,2,6,7,4,3,5,8]=>[1,2,3,6,4,7,5,8]=>3
[6,3,2,7,8,4,5,1]=>[1,6,4,7,5,8,2,3]=>13
[1,2,6,8,3,4,7,5]=>[1,2,3,6,4,8,5,7]=>4
[6,3,4,8,7,2,1,5]=>[1,6,2,3,4,8,5,7]=>6
[5,7,6,8,2,1,3,4]=>[1,5,2,7,3,6,4,8]=>7
[8,3,4,5,6,1,7,2]=>[1,8,2,3,4,5,6,7]=>6
[7,8,6,3,5,4,2,1]=>[1,7,2,8,3,6,4,5]=>11
[4,7,8,1,6,3,2,5]=>[1,4,2,7,3,8,5,6]=>7
[3,7,2,8,5,6,4,1]=>[1,3,2,7,4,8,5,6]=>6
[2,3,8,6,4,5,7,1]=>[1,2,3,8,4,6,5,7]=>5
[3,6,2,8,7,4,5,1]=>[1,3,2,6,4,8,5,7]=>5
[2,3,8,6,7,5,4,1]=>[1,2,3,8,4,6,5,7]=>5
[6,7,3,5,4,1,2,8]=>[1,6,2,7,3,4,5,8]=>7
[4,2,5,1,3,7,6,8]=>[1,4,2,3,5,6,7,8]=>2
[1,2,6,4,7,3,5,8]=>[1,2,3,6,4,5,7,8]=>2
[5,7,8,3,2,6,1,4]=>[1,5,2,7,3,8,4,6]=>8
[2,3,4,5,6,7,8,9,11,10,1]=>[1,2,3,4,5,6,7,8,9,11,10]=>1
[8,4,5,1,3,7,6,2]=>[1,8,2,4,3,5,6,7]=>7
[8,6,4,3,7,1,5,2]=>[1,8,2,6,3,4,5,7]=>9
[7,5,6,8,1,3,2,4]=>[1,7,2,5,3,6,4,8]=>8
[6,8,7,5,4,2,3,1]=>[1,6,2,8,3,7,4,5]=>10
[7,3,1,8,6,5,2,4]=>[1,7,2,3,4,8,5,6]=>7
[4,7,1,3,2,5,6,8]=>[1,4,3,2,7,6,5,8]=>6
[7,1,3,6,4,5,2,8]=>[1,7,2,3,4,6,5,8]=>6
[2,1,8,7,3,6,5,4]=>[1,2,3,8,4,7,5,6]=>6
[7,2,3,8,6,4,1,5]=>[1,7,2,3,4,8,5,6]=>7
[5,1,3,6,2,4,8,7]=>[1,5,2,3,4,6,7,8]=>3
[3,7,5,4,6,1,2,8]=>[1,3,5,6,2,7,4,8]=>6
[5,3,4,1,2,7,6,8]=>[1,5,2,3,4,6,7,8]=>3
[6,8,5,3,2,7,1,4]=>[1,6,7,2,8,4,3,5]=>12
[2,1,4,3,6,5,9,7,8]=>[1,2,3,4,5,6,7,9,8]=>1
[2,1,4,3,6,5,8,10,7,9]=>[1,2,3,4,5,6,7,8,10,9]=>1
[4,8,5,1,2,6,7,3]=>[1,4,2,8,3,5,6,7]=>6
[7,8,1,5,6,4,2,3]=>[1,7,2,8,3,4,5,6]=>9
[7,1,8,5,6,4,2,3]=>[1,7,2,3,8,4,5,6]=>8
[6,8,7,5,2,1,4,3]=>[1,6,2,8,3,7,4,5]=>10
[4,8,1,2,6,5,7,3]=>[1,4,2,8,3,5,6,7]=>6
[4,3,5,1,7,8,6,2]=>[1,4,2,3,5,7,6,8]=>3
[2,3,7,1,5,8,4,6]=>[1,2,3,7,4,5,6,8]=>3
[4,6,5,2,1,7,8,3]=>[1,4,2,6,7,8,3,5]=>8
[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[4,3,5,1,8,6,7,2]=>[1,4,2,3,5,8,6,7]=>4
[2,1,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,7,8,9]=>0
[5,2,3,7,4,1,6,8]=>[1,5,4,7,6,2,3,8]=>10
[4,2,5,1,6,3,7,8]=>[1,4,2,3,5,6,7,8]=>2
[8,3,1,6,7,5,4,2]=>[1,8,2,3,4,6,5,7]=>7
[8,7,5,1,4,6,3,2]=>[1,8,2,7,3,5,4,6]=>11
[2,7,4,5,3,8,6,1]=>[1,2,7,6,8,3,4,5]=>10
[6,8,5,7,2,1,4,3]=>[1,6,2,8,3,5,4,7]=>9
[4,6,5,1,3,7,8,2]=>[1,4,2,6,7,8,3,5]=>8
[6,1,4,8,7,2,3,5]=>[1,6,2,3,4,8,5,7]=>6
[6,1,4,7,8,2,3,5]=>[1,6,2,3,4,7,5,8]=>5
[5,8,6,1,2,4,7,3]=>[1,5,2,8,3,6,4,7]=>8
[2,1,3,5,6,7,8,9,4]=>[1,2,3,4,5,6,7,8,9]=>0
[8,1,3,4,6,7,5,2]=>[1,8,2,3,4,5,6,7]=>6
[7,8,3,4,6,5,2,1]=>[1,7,2,8,3,4,5,6]=>9
[7,2,8,4,6,5,1,3]=>[1,7,2,3,8,4,5,6]=>8
[1,3,7,6,8,4,2,5]=>[1,2,3,7,4,6,5,8]=>4
[1,3,8,5,2,7,6,4]=>[1,2,3,8,4,5,6,7]=>4
[4,6,5,2,7,3,1,8]=>[1,4,2,6,3,5,7,8]=>4
[5,8,2,4,1,6,7,3]=>[1,5,2,8,3,4,6,7]=>7
[8,6,2,4,5,3,7,1]=>[1,8,2,6,3,4,5,7]=>9
[8,5,4,6,1,7,3,2]=>[1,8,2,5,3,4,6,7]=>8
[1,2,4,3,5,7,8,9,6]=>[1,2,3,4,5,6,7,8,9]=>0
[7,6,4,2,8,3,1,5]=>[1,7,2,6,3,4,5,8]=>8
[8,5,1,4,3,7,6,2]=>[1,8,2,5,3,4,6,7]=>8
[3,5,1,4,2,6,8,7]=>[1,3,2,5,4,6,7,8]=>2
[3,5,1,4,2,6,7,8]=>[1,3,2,5,4,6,7,8]=>2
[1,3,7,6,5,2,4,8]=>[1,2,3,7,4,6,5,8]=>4
[1,2,8,6,7,5,4,3]=>[1,2,3,8,4,6,5,7]=>5
[7,2,8,3,1,6,4,5]=>[1,7,4,3,8,5,2,6]=>12
[7,3,4,1,8,6,2,5]=>[1,7,2,3,4,5,8,6]=>6
[8,7,1,5,4,6,3,2]=>[1,8,2,7,3,4,5,6]=>10
[2,3,8,6,5,1,7,4]=>[1,2,3,8,4,6,5,7]=>5
[5,4,7,3,1,2,6,8]=>[1,5,2,4,3,7,6,8]=>5
[1,3,4,5,6,7,2,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[4,2,5,1,3,6,8,7]=>[1,4,2,3,5,6,7,8]=>2
[7,4,6,1,8,5,2,3]=>[1,7,2,4,3,6,5,8]=>7
[4,5,6,2,1,7,8,3]=>[1,4,2,5,3,6,7,8]=>3
[4,5,6,2,1,7,3,8]=>[1,4,2,5,3,6,7,8]=>3
[2,3,5,8,1,6,7,4]=>[1,2,3,5,4,8,6,7]=>3
[2,5,1,4,6,3,8,7]=>[1,2,5,6,3,4,7,8]=>4
[8,5,6,4,3,1,7,2]=>[1,8,2,5,3,6,4,7]=>9
[8,3,4,1,6,7,5,2]=>[1,8,2,3,4,5,6,7]=>6
[5,8,3,1,4,6,7,2]=>[1,5,4,2,8,3,6,7]=>8
[7,3,4,5,1,6,8,2]=>[1,7,8,2,3,4,5,6]=>10
[6,8,4,5,7,2,1,3]=>[1,6,2,8,3,4,5,7]=>8
[3,6,4,2,5,7,1,8]=>[1,3,4,2,6,7,5,8]=>4
[4,6,1,2,5,3,7,8]=>[1,4,2,6,3,5,7,8]=>4
[1,2,4,5,8,7,3,6]=>[1,2,3,4,5,8,6,7]=>2
[1,2,4,3,6,5,8,7,9]=>[1,2,3,4,5,6,7,8,9]=>0
[8,4,6,3,7,5,1,2]=>[1,8,2,4,3,6,5,7]=>8
[2,7,1,6,8,4,5,3]=>[1,2,7,5,8,3,4,6]=>9
[1,2,6,7,8,4,5,3]=>[1,2,3,6,4,7,5,8]=>3
[5,2,3,7,1,8,4,6]=>[1,5,2,3,4,7,6,8]=>4
[6,8,4,5,3,1,7,2]=>[1,6,2,8,3,4,5,7]=>8
[6,4,5,1,7,2,8,3]=>[1,6,2,4,3,5,7,8]=>5
[5,7,6,4,2,1,3,8]=>[1,5,2,7,3,6,4,8]=>7
[7,4,8,1,6,3,2,5]=>[1,7,2,4,3,8,5,6]=>8
[7,4,8,3,6,2,1,5]=>[1,7,2,4,3,8,5,6]=>8
[2,5,4,7,6,1,3,8]=>[1,2,5,6,3,4,7,8]=>4
[4,2,3,8,1,7,5,6]=>[1,4,8,6,7,5,2,3]=>15
[5,1,3,4,2,7,6,8]=>[1,5,2,3,4,6,7,8]=>3
[8,3,4,1,5,7,6,2]=>[1,8,2,3,4,5,6,7]=>6
[6,4,5,2,7,1,8,3]=>[1,6,2,4,3,5,7,8]=>5
[6,4,1,3,5,2,7,8]=>[1,6,2,4,3,5,7,8]=>5
[4,5,8,2,3,7,1,6]=>[1,4,2,5,3,8,6,7]=>5
[6,3,1,7,4,2,5,8]=>[1,6,2,3,4,7,5,8]=>5
[8,5,1,2,3,6,7,4]=>[1,8,4,2,5,3,6,7]=>9
[7,4,1,3,6,5,2,8]=>[1,7,2,4,3,5,6,8]=>6
[2,8,3,5,6,1,4,7]=>[1,2,8,7,4,5,6,3]=>12
[1,3,6,8,2,4,7,5]=>[1,2,3,6,4,8,5,7]=>4
[1,2,3,4,5,6,8,10,7,9]=>[1,2,3,4,5,6,7,8,10,9]=>1
[4,5,8,1,3,7,6,2]=>[1,4,2,5,3,8,6,7]=>5
[8,5,2,6,3,4,7,1]=>[1,8,2,5,3,4,6,7]=>8
[3,7,2,4,5,6,1,8]=>[1,3,2,7,4,5,6,8]=>4
[7,4,6,1,3,5,2,8]=>[1,7,2,4,3,6,5,8]=>7
[1,4,6,3,7,5,2,8]=>[1,2,4,3,6,5,7,8]=>2
[7,3,1,8,4,5,6,2]=>[1,7,6,5,4,8,2,3]=>16
[3,8,2,1,5,7,6,4]=>[1,3,2,8,4,5,6,7]=>5
[2,7,3,4,8,6,5,1]=>[1,2,7,5,8,3,4,6]=>9
[4,3,7,1,2,8,5,6]=>[1,4,2,3,7,5,6,8]=>4
[6,7,4,2,8,1,3,5]=>[1,6,2,7,3,4,5,8]=>7
[7,6,2,4,8,3,1,5]=>[1,7,2,6,3,4,5,8]=>8
[7,2,4,3,8,6,1,5]=>[1,7,2,3,4,5,8,6]=>6
[6,8,4,3,5,1,7,2]=>[1,6,2,8,3,4,5,7]=>8
[3,7,1,4,6,8,2,5]=>[1,3,2,7,4,5,6,8]=>4
[5,3,1,8,2,4,7,6]=>[1,5,2,3,4,8,6,7]=>5
[5,4,3,1,2,7,6,8]=>[1,5,2,4,3,6,7,8]=>4
[1,2,7,8,4,6,3,5]=>[1,2,3,7,4,8,5,6]=>5
[3,8,2,1,6,7,5,4]=>[1,3,2,8,4,5,6,7]=>5
[1,3,5,8,4,6,7,2]=>[1,2,3,5,4,8,6,7]=>3
[2,3,6,8,5,1,7,4]=>[1,2,3,6,4,8,5,7]=>4
[2,1,8,7,4,6,5,3]=>[1,2,3,8,4,7,5,6]=>6
[7,4,8,3,6,5,1,2]=>[1,7,2,4,3,8,5,6]=>8
[2,8,4,1,5,3,6,7]=>[1,2,8,7,6,3,4,5]=>12
[4,2,5,1,8,7,6,3]=>[1,4,2,3,5,8,6,7]=>4
[5,2,4,8,1,7,6,3]=>[1,5,2,3,4,8,6,7]=>5
[7,3,2,4,6,8,1,5]=>[1,7,2,3,4,5,6,8]=>5
[5,6,8,7,1,3,2,4]=>[1,5,2,6,3,8,4,7]=>7
[4,5,8,2,3,7,6,1]=>[1,4,2,5,3,8,6,7]=>5
[1,3,4,5,6,7,2,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[5,3,4,8,1,7,2,6]=>[1,5,2,3,4,8,6,7]=>5
[6,4,1,3,7,2,5,8]=>[1,6,2,4,3,5,7,8]=>5
[8,5,7,6,3,4,1,2]=>[1,8,2,5,3,7,4,6]=>10
[1,2,8,7,4,6,5,3]=>[1,2,3,8,4,7,5,6]=>6
[4,3,2,8,1,7,5,6]=>[1,4,8,6,7,5,2,3]=>15
[5,1,4,3,2,6,8,7]=>[1,5,2,3,4,6,7,8]=>3
[1,3,6,2,5,4,8,7]=>[1,2,3,6,4,5,7,8]=>2
[1,3,8,5,6,7,2,4]=>[1,2,3,8,4,5,6,7]=>4
[1,3,6,5,2,4,7,8]=>[1,2,3,6,4,5,7,8]=>2
[6,8,2,4,5,1,7,3]=>[1,6,2,8,3,4,5,7]=>8
[8,3,4,7,2,6,5,1]=>[1,8,2,3,4,7,5,6]=>8
[8,1,3,7,6,4,5,2]=>[1,8,2,3,4,7,5,6]=>8
[8,4,7,2,3,6,5,1]=>[1,8,2,4,3,7,5,6]=>9
[8,2,4,7,3,6,5,1]=>[1,8,2,3,4,7,5,6]=>8
[8,1,4,7,3,6,5,2]=>[1,8,2,3,4,7,5,6]=>8
[5,3,4,1,2,6,8,7]=>[1,5,2,3,4,6,7,8]=>3
[8,3,4,1,6,5,7,2]=>[1,8,2,3,4,5,6,7]=>6
[1,3,7,8,2,6,4,5]=>[1,2,3,7,4,8,5,6]=>5
[3,7,2,4,5,8,1,6]=>[1,3,2,7,4,5,6,8]=>4
[3,6,1,5,2,4,7,8]=>[1,3,2,6,4,5,7,8]=>3
[8,6,5,4,1,3,7,2]=>[1,8,2,6,3,5,4,7]=>10
[1,7,2,4,5,8,6,3]=>[1,2,7,6,8,3,4,5]=>10
[2,3,4,5,1,7,6,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,1,6,5,8,7,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,6,7,1,9,8,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,1,7,6,9,8,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,6,7,5,3,4,8]=>[1,2,3,6,4,7,5,8]=>3
[1,2,6,8,7,4,5,3]=>[1,2,3,6,4,8,5,7]=>4
[3,4,5,6,8,2,7,1]=>[1,3,5,8,2,4,6,7]=>7
[8,1,3,5,6,4,7,2]=>[1,8,2,3,4,5,6,7]=>6
[4,8,7,2,5,6,1,3]=>[1,4,2,8,3,7,5,6]=>8
[4,6,8,1,5,2,7,3]=>[1,4,2,6,3,8,5,7]=>6
[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[8,6,5,2,4,3,7,1]=>[1,8,2,6,3,5,4,7]=>10
[8,4,2,3,5,7,6,1]=>[1,8,2,4,3,5,6,7]=>7
[5,4,2,3,1,7,8,6]=>[1,5,2,4,3,6,7,8]=>4
[8,4,7,3,5,6,2,1]=>[1,8,2,4,3,7,5,6]=>9
[3,8,2,6,7,5,1,4]=>[1,3,2,8,4,6,5,7]=>6
[6,3,4,8,7,1,2,5]=>[1,6,2,3,4,8,5,7]=>6
[7,3,2,1,4,8,6,5]=>[1,7,6,8,5,4,2,3]=>18
[6,2,8,3,4,5,1,7]=>[1,6,5,4,3,8,7,2]=>13
[7,3,4,6,8,2,1,5]=>[1,7,2,3,4,6,5,8]=>6
[5,1,3,7,2,8,4,6]=>[1,5,2,3,4,7,6,8]=>4
[5,2,4,6,1,7,8,3]=>[1,5,2,3,4,6,7,8]=>3
[4,5,8,2,1,6,7,3]=>[1,4,2,5,3,8,6,7]=>5
[4,7,8,2,5,6,1,3]=>[1,4,2,7,3,8,5,6]=>7
[2,3,4,5,6,1,9,8,7]=>[1,2,3,4,5,6,7,9,8]=>1
[4,3,7,1,6,2,5,8]=>[1,4,2,3,7,5,6,8]=>4
[6,3,1,5,7,2,4,8]=>[1,6,2,3,4,5,7,8]=>4
[4,5,2,1,3,7,6,8]=>[1,4,2,5,3,6,7,8]=>3
[4,6,8,1,7,3,5,2]=>[1,4,2,6,3,8,5,7]=>6
[6,1,3,4,5,2,7,8]=>[1,6,2,3,4,5,7,8]=>4
[7,1,3,4,5,6,2,8]=>[1,7,2,3,4,5,6,8]=>5
[1,3,6,7,5,2,4,8]=>[1,2,3,6,4,7,5,8]=>3
[5,3,4,7,2,1,6,8]=>[1,5,2,3,4,7,6,8]=>4
[1,2,7,8,6,4,3,5]=>[1,2,3,7,4,8,5,6]=>5
[2,1,4,3,6,5,7,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,3,5,7,8,6,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,3,5,7,6,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,4,3,5,6,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,5,6,4,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,5,6,4,7,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,5,4,7,8,6,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,5,4,7,6,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,5,4,6,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,4,6,7,8,5,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,4,6,7,5,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,4,6,5,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,1,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,4,2,6,5,7,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,4,2,5,7,8,6,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,4,2,5,7,6,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,4,2,5,6,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,5,6,4,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,5,6,4,7,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,5,4,7,8,6,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,5,4,7,6,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,5,4,6,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,4,6,7,8,5,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,4,6,7,5,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,4,6,5,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,3,2,4,5,7,8,9,10,6]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,5,6,3,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,5,6,3,7,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,5,3,7,8,6,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,5,3,7,6,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,5,3,6,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,3,6,7,8,5,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,3,6,7,5,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,3,6,5,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,3,5,7,8,9,10,6]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,5,6,7,8,4,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,5,6,7,4,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,5,6,4,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,5,4,7,8,9,10,6]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,3,4,5,6,7,8,2,1]=>[1,9,2,3,4,5,6,7,8]=>7
[10,3,4,5,6,7,8,9,2,1]=>[1,10,2,3,4,5,6,7,8,9]=>8
[11,2,1,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>45
[7,3,4,8,5,6,2,1]=>[1,7,2,3,4,8,5,6]=>7
[11,3,4,5,6,7,8,9,10,2,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>9
[7,2,4,1,8,5,3,6]=>[1,7,3,4,2,5,8,6]=>8
[4,5,3,1,2,6,8,7]=>[1,4,2,5,3,6,7,8]=>3
[4,6,5,2,1,3,7,8]=>[1,4,2,6,3,5,7,8]=>4
[6,8,7,5,4,2,1,3]=>[1,6,2,8,3,7,4,5]=>10
[4,7,3,2,6,5,1,8]=>[1,4,2,7,3,5,6,8]=>5
[4,3,1,2,6,5,7,8]=>[1,4,2,3,5,6,7,8]=>2
[8,5,3,1,2,6,7,4]=>[1,8,4,2,5,3,6,7]=>9
[7,2,8,3,5,6,1,4]=>[1,7,2,3,8,4,5,6]=>8
[7,2,3,8,4,6,1,5]=>[1,7,2,3,4,8,5,6]=>7
[1,7,3,4,8,5,2,6]=>[1,2,7,3,4,5,8,6]=>5
[1,4,6,3,2,5,8,7]=>[1,2,4,3,6,5,7,8]=>2
[4,6,3,1,7,2,8,5]=>[1,4,2,6,3,5,7,8]=>4
[6,8,3,1,5,7,2,4]=>[1,6,7,2,8,4,3,5]=>12
[1,3,4,5,2,7,6,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,4,5,2,7,6,9,8,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,7,8,4,6,1,5]=>[1,2,3,7,4,8,5,6]=>5
[1,3,7,8,4,6,2,5]=>[1,2,3,7,4,8,5,6]=>5
[3,7,1,4,5,6,2,8]=>[1,3,2,7,4,5,6,8]=>4
[3,6,1,4,5,2,7,8]=>[1,3,2,6,4,5,7,8]=>3
[3,7,2,1,5,6,4,8]=>[1,3,2,7,4,5,6,8]=>4
[1,3,6,5,7,2,4,8]=>[1,2,3,6,4,5,7,8]=>2
[1,3,7,6,8,5,2,4]=>[1,2,3,7,4,6,5,8]=>4
[4,3,7,1,5,8,2,6]=>[1,4,2,3,7,5,6,8]=>4
[6,1,3,5,7,2,8,4]=>[1,6,2,3,4,5,7,8]=>4
[6,8,7,3,5,1,4,2]=>[1,6,2,8,3,7,4,5]=>10
[4,8,5,2,6,7,3,1]=>[1,4,2,8,3,5,6,7]=>6
[5,1,3,8,2,7,4,6]=>[1,5,2,3,4,8,6,7]=>5
[7,6,2,3,1,4,8,5]=>[1,7,8,5,2,6,4,3]=>16
[1,2,3,4,5,6,8,9,7,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[8,4,5,3,6,1,7,2]=>[1,8,2,4,3,5,6,7]=>7
[8,2,1,3,4,5,6,9,7]=>[1,8,9,7,6,5,4,3,2]=>27
[1,3,4,5,2,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,4,5,7,8,6,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,4,5,7,8,9,6,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,1,6,7,9,8]=>[1,2,3,4,5,6,7,8,9]=>0
[2,1,4,5,3,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,2,5,4,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[4,1,7,2,5,8,3,6]=>[1,4,2,3,7,5,6,8]=>4
[7,1,4,3,6,8,2,5]=>[1,7,2,3,4,5,6,8]=>5
[6,3,1,5,4,8,7,2]=>[1,6,8,2,3,4,5,7]=>9
[4,2,7,1,5,8,3,6]=>[1,4,2,3,7,5,6,8]=>4
[2,4,6,3,5,1,7,8]=>[1,2,4,3,6,5,7,8]=>2
[7,4,2,3,6,5,1,8]=>[1,7,2,4,3,5,6,8]=>6
[4,6,5,1,2,3,7,8]=>[1,4,2,6,3,5,7,8]=>4
[4,5,8,2,1,7,3,6]=>[1,4,2,5,3,8,6,7]=>5
[7,4,3,1,6,5,2,8]=>[1,7,2,4,3,5,6,8]=>6
[3,1,2,4,8,7,5,6]=>[1,3,2,4,5,8,6,7]=>3
[7,8,5,1,4,6,2,3]=>[1,7,2,8,3,5,4,6]=>10
[8,4,6,3,1,5,7,2]=>[1,8,2,4,3,6,5,7]=>8
[7,3,1,4,5,6,8,2]=>[1,7,8,2,3,4,5,6]=>10
[8,7,5,6,4,1,3,2]=>[1,8,2,7,3,5,4,6]=>11
[5,1,4,8,2,3,7,6]=>[1,5,2,3,4,8,6,7]=>5
[1,2,7,5,6,3,4,8]=>[1,2,3,7,4,5,6,8]=>3
[5,1,4,7,2,3,6,8]=>[1,5,2,3,4,7,6,8]=>4
[1,3,4,2,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,4,5,6,3,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,5,6,7,8,4,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,4,2,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,4,5,6,3,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,2,3,5,6,7,8,4,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[6,2,3,8,7,1,4,5]=>[1,6,2,3,4,8,5,7]=>6
[5,3,1,6,2,7,8,4]=>[1,5,2,3,4,6,7,8]=>3
[6,7,2,5,4,1,3,8]=>[1,6,2,7,3,4,5,8]=>7
[6,3,2,4,8,7,1,5]=>[1,6,7,2,3,4,5,8]=>8
[3,6,2,5,7,4,8,1]=>[1,3,2,6,4,5,7,8]=>3
[7,1,4,3,6,5,8,2]=>[1,7,8,2,3,4,5,6]=>10
[5,3,2,6,8,7,4,1]=>[1,5,8,2,3,4,6,7]=>8
[8,5,7,6,2,3,4,1]=>[1,8,2,5,3,7,4,6]=>10
[5,8,4,6,2,1,7,3]=>[1,5,2,8,3,4,6,7]=>7
[7,1,4,2,8,5,3,6]=>[1,7,3,4,2,5,8,6]=>8
[7,4,5,2,6,3,1,8]=>[1,7,2,4,3,5,6,8]=>6
[8,6,3,4,5,1,7,2]=>[1,8,2,6,3,4,5,7]=>9
[8,6,3,5,4,1,7,2]=>[1,8,2,6,3,4,5,7]=>9
[1,3,8,6,7,2,5,4]=>[1,2,3,8,4,6,5,7]=>5
[2,7,4,6,8,3,5,1]=>[1,2,7,5,8,3,4,6]=>9
[1,2,3,4,6,7,9,5,8]=>[1,2,3,4,5,6,7,9,8]=>1
[6,4,5,2,7,1,3,8]=>[1,6,2,4,3,5,7,8]=>5
[2,3,7,1,5,6,4,8]=>[1,2,3,7,4,5,6,8]=>3
[1,3,8,6,5,2,7,4]=>[1,2,3,8,4,6,5,7]=>5
[5,8,6,4,2,1,7,3]=>[1,5,2,8,3,6,4,7]=>8
[9,3,4,5,2,6,7,8,1]=>[1,9,2,3,4,5,6,7,8]=>7
[5,1,4,6,2,7,8,3]=>[1,5,2,3,4,6,7,8]=>3
[6,2,4,5,7,1,8,3]=>[1,6,2,3,4,5,7,8]=>4
[4,6,8,2,3,1,7,5]=>[1,4,2,6,3,8,5,7]=>6
[8,2,3,6,7,4,5,1]=>[1,8,2,3,4,6,5,7]=>7
[7,4,5,1,6,8,2,3]=>[1,7,2,4,3,5,6,8]=>6
[8,4,1,3,6,7,5,2]=>[1,8,2,4,3,5,6,7]=>7
[2,7,1,4,8,6,5,3]=>[1,2,7,5,8,3,4,6]=>9
[5,1,8,6,7,2,3,4]=>[1,5,7,3,8,4,6,2]=>13
[5,8,6,2,4,7,3,1]=>[1,5,4,2,8,3,6,7]=>8
[7,1,5,8,2,3,4,6]=>[1,7,4,8,6,3,5,2]=>16
[1,3,2,5,4,7,9,6,8]=>[1,2,3,4,5,6,7,9,8]=>1
[1,3,2,5,4,7,6,10,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>1
[4,7,1,2,5,6,3,8]=>[1,4,2,7,3,5,6,8]=>5
[4,3,1,2,5,7,6,8]=>[1,4,2,3,5,6,7,8]=>2
[4,6,3,2,5,1,8,7]=>[1,4,2,6,3,5,7,8]=>4
[4,8,3,2,6,5,7,1]=>[1,4,2,8,3,5,6,7]=>6
[6,8,4,3,5,2,7,1]=>[1,6,2,8,3,4,5,7]=>8
[8,1,4,6,5,3,7,2]=>[1,8,2,3,4,6,5,7]=>7
[1,3,4,5,6,7,8,9,11,2,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>1
[8,5,6,1,3,2,7,4]=>[1,8,4,2,5,3,6,7]=>9
[1,3,6,8,7,4,5,2]=>[1,2,3,6,4,8,5,7]=>4
[4,7,2,3,5,1,6,8]=>[1,4,3,2,7,6,5,8]=>6
[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,5,6,7,8,9]=>0
[7,4,1,3,6,8,2,5]=>[1,7,2,4,3,5,6,8]=>6
[3,1,8,4,6,2,5,7]=>[1,3,8,7,5,6,2,4]=>14
[7,1,4,2,8,6,3,5]=>[1,7,3,4,2,5,8,6]=>8
[8,4,6,3,5,1,7,2]=>[1,8,2,4,3,6,5,7]=>8
[7,8,1,4,5,6,2,3]=>[1,7,2,8,3,4,5,6]=>9
[1,2,6,7,8,3,5,4]=>[1,2,3,6,4,7,5,8]=>3
[7,4,8,3,5,6,2,1]=>[1,7,2,4,3,8,5,6]=>8
[5,2,1,3,8,4,6,7]=>[1,5,8,7,6,4,3,2]=>18
[2,3,4,5,6,1,8,9,7]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,1,7,8,9,6]=>[1,2,3,4,5,6,7,8,9]=>0
[2,6,3,1,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>12
[2,3,4,5,6,7,1,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,1,7,8,9,10,6]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,1,5,6,7,8,9,10,4]=>[1,2,3,4,5,6,7,8,9,10]=>0
[8,6,4,5,1,3,7,2]=>[1,8,2,6,3,4,5,7]=>9
[8,6,2,5,7,3,4,1]=>[1,8,2,6,3,4,5,7]=>9
[1,3,2,4,5,6,9,7,8]=>[1,2,3,4,5,6,7,9,8]=>1
[2,3,1,4,5,6,9,7,8]=>[1,2,3,4,5,6,7,9,8]=>1
[3,6,1,8,7,4,5,2]=>[1,3,2,6,4,8,5,7]=>5
[1,3,8,6,7,4,5,2]=>[1,2,3,8,4,6,5,7]=>5
[5,8,3,4,2,7,6,1]=>[1,5,2,8,3,4,6,7]=>7
[9,3,4,5,6,2,8,7,1]=>[1,9,2,3,4,5,6,7,8]=>7
[9,3,2,5,6,7,8,4,1]=>[1,9,2,3,4,5,6,7,8]=>7
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Description
The number of inversions of a permutation.
This equals the minimal number of simple transpositions $(i,i+1)$ needed to write $\pi$. Thus, it is also the Coxeter length of $\pi$.
This equals the minimal number of simple transpositions $(i,i+1)$ needed to write $\pi$. Thus, it is also the Coxeter length of $\pi$.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
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