Identifier
-
Mp00064:
Permutations
—reverse⟶
Permutations
St000007: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>1
[1,2]=>[2,1]=>2
[2,1]=>[1,2]=>1
[1,2,3]=>[3,2,1]=>3
[1,3,2]=>[2,3,1]=>2
[2,1,3]=>[3,1,2]=>2
[2,3,1]=>[1,3,2]=>2
[3,1,2]=>[2,1,3]=>1
[3,2,1]=>[1,2,3]=>1
[1,2,3,4]=>[4,3,2,1]=>4
[1,2,4,3]=>[3,4,2,1]=>3
[1,3,2,4]=>[4,2,3,1]=>3
[1,3,4,2]=>[2,4,3,1]=>3
[1,4,2,3]=>[3,2,4,1]=>2
[1,4,3,2]=>[2,3,4,1]=>2
[2,1,3,4]=>[4,3,1,2]=>3
[2,1,4,3]=>[3,4,1,2]=>2
[2,3,1,4]=>[4,1,3,2]=>3
[2,3,4,1]=>[1,4,3,2]=>3
[2,4,1,3]=>[3,1,4,2]=>2
[2,4,3,1]=>[1,3,4,2]=>2
[3,1,2,4]=>[4,2,1,3]=>2
[3,1,4,2]=>[2,4,1,3]=>2
[3,2,1,4]=>[4,1,2,3]=>2
[3,2,4,1]=>[1,4,2,3]=>2
[3,4,1,2]=>[2,1,4,3]=>2
[3,4,2,1]=>[1,2,4,3]=>2
[4,1,2,3]=>[3,2,1,4]=>1
[4,1,3,2]=>[2,3,1,4]=>1
[4,2,1,3]=>[3,1,2,4]=>1
[4,2,3,1]=>[1,3,2,4]=>1
[4,3,1,2]=>[2,1,3,4]=>1
[4,3,2,1]=>[1,2,3,4]=>1
[1,2,3,4,5]=>[5,4,3,2,1]=>5
[1,2,3,5,4]=>[4,5,3,2,1]=>4
[1,2,4,3,5]=>[5,3,4,2,1]=>4
[1,2,4,5,3]=>[3,5,4,2,1]=>4
[1,2,5,3,4]=>[4,3,5,2,1]=>3
[1,2,5,4,3]=>[3,4,5,2,1]=>3
[1,3,2,4,5]=>[5,4,2,3,1]=>4
[1,3,2,5,4]=>[4,5,2,3,1]=>3
[1,3,4,2,5]=>[5,2,4,3,1]=>4
[1,3,4,5,2]=>[2,5,4,3,1]=>4
[1,3,5,2,4]=>[4,2,5,3,1]=>3
[1,3,5,4,2]=>[2,4,5,3,1]=>3
[1,4,2,3,5]=>[5,3,2,4,1]=>3
[1,4,2,5,3]=>[3,5,2,4,1]=>3
[1,4,3,2,5]=>[5,2,3,4,1]=>3
[1,4,3,5,2]=>[2,5,3,4,1]=>3
[1,4,5,2,3]=>[3,2,5,4,1]=>3
[1,4,5,3,2]=>[2,3,5,4,1]=>3
[1,5,2,3,4]=>[4,3,2,5,1]=>2
[1,5,2,4,3]=>[3,4,2,5,1]=>2
[1,5,3,2,4]=>[4,2,3,5,1]=>2
[1,5,3,4,2]=>[2,4,3,5,1]=>2
[1,5,4,2,3]=>[3,2,4,5,1]=>2
[1,5,4,3,2]=>[2,3,4,5,1]=>2
[2,1,3,4,5]=>[5,4,3,1,2]=>4
[2,1,3,5,4]=>[4,5,3,1,2]=>3
[2,1,4,3,5]=>[5,3,4,1,2]=>3
[2,1,4,5,3]=>[3,5,4,1,2]=>3
[2,1,5,3,4]=>[4,3,5,1,2]=>2
[2,1,5,4,3]=>[3,4,5,1,2]=>2
[2,3,1,4,5]=>[5,4,1,3,2]=>4
[2,3,1,5,4]=>[4,5,1,3,2]=>3
[2,3,4,1,5]=>[5,1,4,3,2]=>4
[2,3,4,5,1]=>[1,5,4,3,2]=>4
[2,3,5,1,4]=>[4,1,5,3,2]=>3
[2,3,5,4,1]=>[1,4,5,3,2]=>3
[2,4,1,3,5]=>[5,3,1,4,2]=>3
[2,4,1,5,3]=>[3,5,1,4,2]=>3
[2,4,3,1,5]=>[5,1,3,4,2]=>3
[2,4,3,5,1]=>[1,5,3,4,2]=>3
[2,4,5,1,3]=>[3,1,5,4,2]=>3
[2,4,5,3,1]=>[1,3,5,4,2]=>3
[2,5,1,3,4]=>[4,3,1,5,2]=>2
[2,5,1,4,3]=>[3,4,1,5,2]=>2
[2,5,3,1,4]=>[4,1,3,5,2]=>2
[2,5,3,4,1]=>[1,4,3,5,2]=>2
[2,5,4,1,3]=>[3,1,4,5,2]=>2
[2,5,4,3,1]=>[1,3,4,5,2]=>2
[3,1,2,4,5]=>[5,4,2,1,3]=>3
[3,1,2,5,4]=>[4,5,2,1,3]=>2
[3,1,4,2,5]=>[5,2,4,1,3]=>3
[3,1,4,5,2]=>[2,5,4,1,3]=>3
[3,1,5,2,4]=>[4,2,5,1,3]=>2
[3,1,5,4,2]=>[2,4,5,1,3]=>2
[3,2,1,4,5]=>[5,4,1,2,3]=>3
[3,2,1,5,4]=>[4,5,1,2,3]=>2
[3,2,4,1,5]=>[5,1,4,2,3]=>3
[3,2,4,5,1]=>[1,5,4,2,3]=>3
[3,2,5,1,4]=>[4,1,5,2,3]=>2
[3,2,5,4,1]=>[1,4,5,2,3]=>2
[3,4,1,2,5]=>[5,2,1,4,3]=>3
[3,4,1,5,2]=>[2,5,1,4,3]=>3
[3,4,2,1,5]=>[5,1,2,4,3]=>3
[3,4,2,5,1]=>[1,5,2,4,3]=>3
[3,4,5,1,2]=>[2,1,5,4,3]=>3
[3,4,5,2,1]=>[1,2,5,4,3]=>3
[3,5,1,2,4]=>[4,2,1,5,3]=>2
[3,5,1,4,2]=>[2,4,1,5,3]=>2
[3,5,2,1,4]=>[4,1,2,5,3]=>2
[3,5,2,4,1]=>[1,4,2,5,3]=>2
[3,5,4,1,2]=>[2,1,4,5,3]=>2
[3,5,4,2,1]=>[1,2,4,5,3]=>2
[4,1,2,3,5]=>[5,3,2,1,4]=>2
[4,1,2,5,3]=>[3,5,2,1,4]=>2
[4,1,3,2,5]=>[5,2,3,1,4]=>2
[4,1,3,5,2]=>[2,5,3,1,4]=>2
[4,1,5,2,3]=>[3,2,5,1,4]=>2
[4,1,5,3,2]=>[2,3,5,1,4]=>2
[4,2,1,3,5]=>[5,3,1,2,4]=>2
[4,2,1,5,3]=>[3,5,1,2,4]=>2
[4,2,3,1,5]=>[5,1,3,2,4]=>2
[4,2,3,5,1]=>[1,5,3,2,4]=>2
[4,2,5,1,3]=>[3,1,5,2,4]=>2
[4,2,5,3,1]=>[1,3,5,2,4]=>2
[4,3,1,2,5]=>[5,2,1,3,4]=>2
[4,3,1,5,2]=>[2,5,1,3,4]=>2
[4,3,2,1,5]=>[5,1,2,3,4]=>2
[4,3,2,5,1]=>[1,5,2,3,4]=>2
[4,3,5,1,2]=>[2,1,5,3,4]=>2
[4,3,5,2,1]=>[1,2,5,3,4]=>2
[4,5,1,2,3]=>[3,2,1,5,4]=>2
[4,5,1,3,2]=>[2,3,1,5,4]=>2
[4,5,2,1,3]=>[3,1,2,5,4]=>2
[4,5,2,3,1]=>[1,3,2,5,4]=>2
[4,5,3,1,2]=>[2,1,3,5,4]=>2
[4,5,3,2,1]=>[1,2,3,5,4]=>2
[5,1,2,3,4]=>[4,3,2,1,5]=>1
[5,1,2,4,3]=>[3,4,2,1,5]=>1
[5,1,3,2,4]=>[4,2,3,1,5]=>1
[5,1,3,4,2]=>[2,4,3,1,5]=>1
[5,1,4,2,3]=>[3,2,4,1,5]=>1
[5,1,4,3,2]=>[2,3,4,1,5]=>1
[5,2,1,3,4]=>[4,3,1,2,5]=>1
[5,2,1,4,3]=>[3,4,1,2,5]=>1
[5,2,3,1,4]=>[4,1,3,2,5]=>1
[5,2,3,4,1]=>[1,4,3,2,5]=>1
[5,2,4,1,3]=>[3,1,4,2,5]=>1
[5,2,4,3,1]=>[1,3,4,2,5]=>1
[5,3,1,2,4]=>[4,2,1,3,5]=>1
[5,3,1,4,2]=>[2,4,1,3,5]=>1
[5,3,2,1,4]=>[4,1,2,3,5]=>1
[5,3,2,4,1]=>[1,4,2,3,5]=>1
[5,3,4,1,2]=>[2,1,4,3,5]=>1
[5,3,4,2,1]=>[1,2,4,3,5]=>1
[5,4,1,2,3]=>[3,2,1,4,5]=>1
[5,4,1,3,2]=>[2,3,1,4,5]=>1
[5,4,2,1,3]=>[3,1,2,4,5]=>1
[5,4,2,3,1]=>[1,3,2,4,5]=>1
[5,4,3,1,2]=>[2,1,3,4,5]=>1
[5,4,3,2,1]=>[1,2,3,4,5]=>1
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>6
[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>5
[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>5
[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>5
[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>4
[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>4
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>5
[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>4
[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>5
[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>5
[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>4
[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>4
[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>4
[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>4
[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>4
[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>4
[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>4
[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>4
[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>3
[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>3
[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>3
[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>3
[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>3
[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>3
[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>5
[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>4
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>4
[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>4
[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>3
[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>3
[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>5
[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>4
[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>5
[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>5
[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>4
[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>4
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>4
[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>4
[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>4
[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>4
[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>4
[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>4
[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>3
[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>3
[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>3
[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>3
[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>3
[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>3
[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>4
[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>3
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>4
[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>4
[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>3
[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>3
[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>4
[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>3
[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>4
[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>4
[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>3
[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>3
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>4
[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>4
[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>4
[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>4
[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>4
[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>4
[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>3
[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>3
[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>3
[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>3
[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>3
[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>3
[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>3
[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>3
[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>3
[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>3
[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>3
[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>3
[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>3
[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>3
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>3
[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>3
[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>3
[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>3
[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>3
[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>3
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>3
[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>3
[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>3
[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>3
[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>3
[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>3
[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>3
[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>3
[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>3
[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>3
[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>2
[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>2
[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>2
[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>2
[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>2
[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>2
[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>2
[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>2
[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>2
[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>2
[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>2
[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>2
[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>2
[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>2
[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>2
[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>2
[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>2
[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>2
[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>2
[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>2
[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>2
[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>2
[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>2
[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>2
[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>5
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>4
[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>4
[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>4
[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>3
[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>3
[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>4
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>3
[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>4
[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>4
[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>3
[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>3
[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>3
[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>3
[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>3
[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>3
[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>3
[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>3
[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>2
[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>2
[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>2
[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>2
[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>2
[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>2
[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>5
[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>4
[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>4
[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>4
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>3
[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>3
[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>5
[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>4
[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>5
[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>5
[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>4
[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>4
[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>4
[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>4
[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>4
[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>4
[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>4
[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>4
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>3
[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>3
[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>3
[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>3
[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>3
[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>3
[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>4
[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>3
[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>4
[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>4
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>3
[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>3
[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>4
[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>3
[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>4
[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>4
[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>3
[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>3
[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>4
[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>4
[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>4
[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>4
[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>4
[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>4
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>3
[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>3
[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>3
[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>3
[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>3
[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>3
[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>3
[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>3
[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>3
[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>3
[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>3
[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>3
[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>3
[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>3
[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>3
[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>3
[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>3
[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>3
[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>3
[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>3
[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>3
[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>3
[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>3
[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>3
[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>3
[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>3
[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>3
[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>3
[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>3
[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>3
[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>2
[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>2
[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>2
[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>2
[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>2
[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>2
[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>2
[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>2
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>2
[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>2
[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>2
[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>2
[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>2
[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>2
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>2
[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>2
[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>2
[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>2
[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>2
[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>2
[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>2
[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>2
[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>2
[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>2
[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>4
[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>3
[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>3
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>3
[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>2
[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>2
[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>4
[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>3
[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>4
[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>4
[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>3
[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>3
[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>3
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>3
[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>3
[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>3
[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>3
[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>3
[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>2
[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>2
[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>2
[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>2
[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>2
[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>2
[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>4
[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>3
[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>3
[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>3
[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>2
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>2
[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>4
[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>3
[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>4
[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>4
[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>3
[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>3
[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>3
[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>3
[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>3
[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>3
[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>3
[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>3
[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>2
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>2
[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>2
[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>2
[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>2
[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>2
[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>4
[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>3
[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>4
[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>4
[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>3
[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>3
[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>4
[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>3
[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>4
[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>4
[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>3
[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>3
[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>4
[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>4
[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>4
[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>4
[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>4
[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>4
[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>3
[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>3
[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>3
[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>3
[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>3
[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>3
[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>3
[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>3
[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>3
[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>3
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>3
[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>3
[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>3
[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>3
[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>3
[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>3
[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>3
[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>3
[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>3
[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>3
[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>3
[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>3
[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>3
[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>3
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>3
[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>3
[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>3
[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>3
[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>3
[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>3
[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>2
[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>2
[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>2
[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>2
[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>2
[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>2
[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>2
[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>2
[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>2
[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>2
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>2
[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>2
[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>2
[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>2
[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>2
[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>2
[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>2
[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>2
[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>2
[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>2
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>2
[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>2
[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>2
[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>2
[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>3
[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>2
[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>3
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>3
[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>2
[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>2
[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>3
[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>2
[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>3
[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>3
[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>2
[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>2
[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>3
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>3
[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>3
[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>3
[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>3
[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>3
[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>2
[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>2
[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>2
[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>2
[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>2
[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>2
[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>3
[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>2
[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>3
[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>3
[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>2
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>2
[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>3
[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>2
[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>3
[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>3
[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>2
[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>2
[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>3
[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>3
[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>3
[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>3
[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>3
[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>3
[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>2
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>2
[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>2
[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>2
[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>2
[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>2
[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>3
[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>2
[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>3
[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>3
[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>2
[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>2
[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>3
[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>2
[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>3
[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>3
[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>2
[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>2
[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>3
[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>3
[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>3
[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>3
[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>3
[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>3
[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>2
[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>2
[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>2
[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>2
[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>2
[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>2
[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>3
[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>3
[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>3
[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>3
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>3
[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>3
[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>3
[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>3
[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>3
[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>3
[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>3
[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>3
[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>3
[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>3
[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>3
[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>3
[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>3
[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>3
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>3
[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>3
[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>3
[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>3
[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>3
[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>3
[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>2
[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>2
[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>2
[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>2
[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>2
[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>2
[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>2
[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>2
[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>2
[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>2
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>2
[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>2
[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>2
[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>2
[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>2
[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>2
[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>2
[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>2
[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>2
[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>2
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>2
[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>2
[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>2
[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>2
[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>2
[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>2
[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>2
[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>2
[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>2
[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>2
[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>2
[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>2
[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>2
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>2
[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>2
[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>2
[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>2
[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>2
[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>2
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>2
[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>2
[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>2
[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>2
[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>2
[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>2
[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>2
[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>2
[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>2
[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>2
[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>2
[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>2
[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>2
[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>2
[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>2
[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>2
[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>2
[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>2
[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>2
[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>2
[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>2
[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>2
[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>2
[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>2
[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>2
[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>2
[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>2
[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>2
[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>2
[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>2
[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>2
[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>2
[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>2
[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>2
[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>2
[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>2
[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>2
[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>2
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>2
[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>2
[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>2
[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>2
[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>2
[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>2
[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>2
[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>2
[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>2
[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>2
[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>2
[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>2
[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>2
[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>2
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>2
[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>2
[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>2
[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>2
[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>2
[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>2
[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>2
[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>2
[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>2
[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>2
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>2
[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>2
[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>2
[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>2
[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>2
[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>2
[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>2
[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>2
[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>2
[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>2
[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>2
[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>2
[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>2
[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>2
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>2
[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>2
[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>2
[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>2
[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>2
[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>2
[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>2
[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>2
[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>2
[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>2
[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>2
[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>2
[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>2
[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>2
[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>2
[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>2
[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>2
[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>2
[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>2
[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>2
[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>2
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>2
[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>2
[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>2
[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>2
[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>2
[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>2
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>2
[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>2
[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>1
[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>1
[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>1
[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>1
[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>1
[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>1
[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>1
[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>1
[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>1
[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>1
[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>1
[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>1
[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>1
[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>1
[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>1
[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>1
[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>1
[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>1
[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>1
[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>1
[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>1
[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>1
[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>1
[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>1
[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>1
[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>1
[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>1
[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>1
[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>1
[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>1
[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>1
[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>1
[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>1
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>1
[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>1
[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>1
[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>1
[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>1
[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>1
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>1
[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>1
[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>1
[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>1
[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>1
[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>1
[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>1
[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>1
[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>1
[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>1
[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>1
[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>1
[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>1
[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>1
[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>1
[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>1
[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>1
[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>1
[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>1
[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>1
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>1
[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>1
[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>1
[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>1
[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>1
[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>1
[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>1
[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>1
[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>1
[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>1
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>1
[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>1
[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>1
[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>1
[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>1
[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>1
[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>1
[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>1
[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>1
[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>1
[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>1
[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>1
[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>1
[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>1
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>1
[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>1
[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>1
[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>1
[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>1
[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>1
[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>1
[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>1
[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>1
[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>1
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>1
[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>1
[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>1
[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>1
[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>1
[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>1
[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>1
[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>1
[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>1
[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>1
[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>1
[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>1
[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>1
[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>1
[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>1
[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>1
[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>1
[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>1
[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>1
[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>1
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>1
[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>1
[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>1
[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>1
[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>1
[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>1
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>1
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>7
[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>2
[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>2
[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>2
[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>2
[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>2
[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>2
[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>2
[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>2
[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>2
[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>2
[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>2
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>2
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>6
[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>5
[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>4
[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>3
[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>3
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>2
[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>6
[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>5
[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>5
[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>4
[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>4
[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>5
[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>5
[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>5
[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>4
[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>4
[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>4
[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>4
[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>3
[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>3
[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>5
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>5
[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>4
[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>4
[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>3
[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>3
[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>2
[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>3
[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>5
[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>4
[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>3
[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>3
[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>2
[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>2
[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>5
[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>2
[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>2
[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>2
[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>4
[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>3
[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>2
[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>2
[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>2
[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>2
[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>2
[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>2
[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>2
[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>2
[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>2
[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>2
[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>2
[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>2
[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>3
[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>2
[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>2
[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>2
[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>2
[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>2
[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>2
[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>2
[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>2
[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>2
[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>2
[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>2
[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>2
[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>2
[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>2
[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>2
[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>2
[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>2
[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>2
[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>2
[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>2
[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>2
[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>2
[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>2
[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>2
[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>2
[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>2
[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>2
[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>2
[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>2
[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>2
[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>2
[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>2
[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>2
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>2
[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>2
[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>2
[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>2
[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>2
[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>2
[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>2
[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>2
[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>2
[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>2
[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>2
[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>2
[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>2
[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>1
[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>1
[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>1
[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>1
[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>1
[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>1
[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>1
[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>1
[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>1
[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>1
[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>1
[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>1
[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>1
[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>1
[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>1
[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>1
[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>1
[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>1
[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>1
[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>1
[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>1
[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>1
[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>1
[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>1
[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>1
[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>1
[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>1
[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>1
[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>1
[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>1
[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>1
[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>1
[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>1
[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>1
[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>1
[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>1
[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>1
[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>1
[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>1
[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>1
[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>1
[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>1
[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>1
[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>1
[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>1
[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>1
[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>1
[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>1
[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>1
[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>1
[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>1
[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>1
[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>1
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>1
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>1
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>2
[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>1
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>2
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>1
[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>1
[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]=>2
[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]=>1
[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]=>1
[8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]=>1
[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>2
[7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]=>2
[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>3
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>1
[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>1
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>1
[7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]=>2
[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>1
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>1
[7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]=>2
[8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]=>1
[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>1
[8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>1
[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>2
[6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]=>3
[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>1
[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>1
[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]=>2
[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>1
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>1
[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]=>1
[8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]=>1
[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]=>2
[8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]=>1
[8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]=>1
[8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]=>1
[8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]=>1
[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>1
[8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]=>1
[8,6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6,8]=>1
[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>1
[8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]=>1
[8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]=>1
[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>2
[7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]=>2
[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>3
[7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]=>2
[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>2
[6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>3
[7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>2
[7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>2
[7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>2
[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>3
[6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>3
[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>4
[7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]=>2
[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>6
[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>7
[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>1
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>2
[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>2
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>2
[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>2
[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>4
[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>2
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>2
[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>2
[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>4
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>6
[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>2
[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>1
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>3
[7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]=>2
[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>5
[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>2
[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>2
[7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]=>2
[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>3
[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>3
[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>1
[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>2
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>4
[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>1
[7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]=>2
[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>1
[7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]=>2
[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>3
[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]=>1
[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]=>2
[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>2
[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>1
[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>2
[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>1
[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>2
[7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]=>2
[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>2
[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>6
[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>6
[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>2
[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>3
[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>2
[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>3
[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>2
[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>2
[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>2
[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>2
[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>2
[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>2
[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>2
[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>3
[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>6
[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>5
[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>4
[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>3
[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>4
[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>4
[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>4
[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>4
[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>5
[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>6
[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>6
[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>6
[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>6
[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>7
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>8
[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>2
[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>4
[3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3]=>4
[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>4
[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]=>6
[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>2
[2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>3
[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>5
[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>6
[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>2
[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>6
[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>6
[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>6
[2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]=>5
[2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]=>6
[2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>6
[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>2
[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>3
[1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]=>4
[1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]=>4
[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]=>6
[1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]=>6
[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>2
[1,2,7,6,5,8,4,3]=>[3,4,8,5,6,7,2,1]=>4
[1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]=>6
[1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]=>6
[1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]=>6
[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>6
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>2
[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>4
[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>4
[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>4
[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>6
[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>3
[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>4
[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>6
[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>2
[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>4
[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>4
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>4
[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>6
[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>2
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>3
[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>3
[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>3
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>4
[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>6
[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]=>6
[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>6
[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>6
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>6
[3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>4
[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>4
[2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>6
[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>6
[1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]=>6
[1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]=>6
[1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]=>6
[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>6
[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>3
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>4
[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>6
[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>4
[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>3
[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>4
[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>6
[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>6
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>6
[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>6
[2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>6
[2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]=>6
[1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]=>6
[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>4
[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>4
[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>5
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>6
[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>6
[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>6
[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>6
[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>5
[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>6
[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>6
[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>6
[1,2,4,8,6,5,7,3]=>[3,7,5,6,8,4,2,1]=>4
[1,2,5,4,8,6,7,3]=>[3,7,6,8,4,5,2,1]=>4
[1,4,3,5,8,6,7,2]=>[2,7,6,8,5,3,4,1]=>4
[1,6,3,5,4,8,7,2]=>[2,7,8,4,5,3,6,1]=>3
[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>2
[1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]=>2
[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>2
[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>5
[2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]=>4
[2,3,6,4,5,7,8,1]=>[1,8,7,5,4,6,3,2]=>5
[2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]=>4
[3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]=>4
[3,2,8,4,5,6,7,1]=>[1,7,6,5,4,8,2,3]=>2
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>2
[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>2
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>1
[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>1
[7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]=>2
[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>1
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>1
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>4
[2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]=>4
[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>4
[2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>6
[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>6
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>4
[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>4
[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>4
[2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]=>6
[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>4
[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>4
[2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]=>4
[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>6
[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>4
[3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]=>4
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>4
[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>4
[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>4
[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>4
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>4
[1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>6
[3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]=>4
[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>4
[3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]=>4
[3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]=>4
[1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]=>6
[1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]=>4
[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>4
[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>6
[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>4
[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>4
[4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]=>4
[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>4
[4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]=>4
[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>6
[1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>6
[1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>6
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>4
[4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]=>4
[4,1,6,2,3,7,8,5]=>[5,8,7,3,2,6,1,4]=>4
[4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]=>3
[1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]=>6
[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>4
[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>2
[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>2
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>6
[1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]=>6
[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>4
[1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]=>6
[5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]=>2
[1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>4
[1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>4
[1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]=>6
[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>2
[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>6
[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>2
[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>4
[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>6
[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>2
[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>2
[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>2
[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>1
[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>2
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>3
[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>2
[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>2
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>2
[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>2
[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>2
[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>2
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>3
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>3
[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>3
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>1
[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>3
[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>3
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>2
[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>2
[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>2
[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>1
[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>2
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>2
[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>2
[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>3
[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>3
[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>3
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>2
[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>2
[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>1
[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>3
[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>2
[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>2
[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>2
[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>2
[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>5
[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>4
[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>3
[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>3
[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>2
[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>2
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>1
[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>4
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>2
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>2
[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>2
[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>2
[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]=>2
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>2
[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]=>2
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>2
[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]=>2
[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>2
[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]=>2
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>2
[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]=>2
[8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]=>1
[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]=>1
[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]=>1
[8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]=>1
[8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]=>1
[8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]=>1
[8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]=>1
[8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]=>1
[7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]=>2
[5,8,1,2,6,7,3,4]=>[4,3,7,6,2,1,8,5]=>2
[8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]=>1
[6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]=>3
[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>2
[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>2
[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>1
[9,1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1,9]=>1
[3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3]=>4
[9,8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8,9]=>1
[9,5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5,9]=>1
[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>8
[]=>[]=>0
[4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]=>4
[3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]=>4
[4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]=>4
[5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]=>4
[6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]=>2
[3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]=>4
[2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]=>4
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>4
[1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>4
[2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]=>4
[3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]=>4
[4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]=>4
[5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]=>2
[6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]=>2
[6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]=>2
[5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]=>2
[4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]=>4
[3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]=>4
[4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]=>4
[5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]=>2
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>2
[7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]=>2
[7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]=>2
[6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]=>2
[5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]=>2
[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]=>2
[5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]=>2
[6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]=>2
[7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]=>2
[7,8,2,3,1,5,6,4]=>[4,6,5,1,3,2,8,7]=>2
[6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]=>2
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>2
[6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]=>2
[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]=>2
[7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]=>2
[5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]=>2
[4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]=>4
[2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]=>4
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>4
[1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]=>4
[2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]=>4
[3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]=>4
[7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]=>2
[6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]=>2
[5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]=>2
[6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]=>2
[7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]=>2
[5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]=>2
[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>2
[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]=>2
[5,2,1,8,3,4,7,6]=>[6,7,4,3,8,1,2,5]=>2
[6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]=>2
[7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]=>2
[8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8]=>1
[6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]=>2
[8,1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1,8]=>1
[5,6,2,8,1,3,4,7]=>[7,4,3,1,8,2,6,5]=>3
[7,4,5,3,8,2,6,1]=>[1,6,2,8,3,5,4,7]=>2
[8,1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1,8]=>1
[3,5,6,7,8,2,1,4]=>[4,1,2,8,7,6,5,3]=>5
[8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]=>1
[8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]=>1
[5,7,8,2,1,3,4,6]=>[6,4,3,1,2,8,7,5]=>3
[4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]=>3
[6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]=>2
[8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]=>1
[7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]=>2
[7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]=>2
[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>2
[4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]=>4
[3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]=>4
[4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]=>4
[8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8]=>1
[8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]=>1
[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>1
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>2
[5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]=>2
[7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7]=>2
[8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]=>1
[7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]=>2
[7,6,1,8,2,3,4,5]=>[5,4,3,2,8,1,6,7]=>2
[6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6]=>2
[7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]=>2
[5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]=>3
[3,5,7,6,1,4,8,2]=>[2,8,4,1,6,7,5,3]=>4
[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]=>2
[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>9
[3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]=>8
[1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]=>2
[3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3]=>4
[8,1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1,8]=>1
[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]=>2
[8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]=>1
[6,5,3,1,8,2,7,4]=>[4,7,2,8,1,3,5,6]=>2
[6,5,4,1,8,7,2,3]=>[3,2,7,8,1,4,5,6]=>2
[7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]=>2
[7,4,1,3,2,8,6,5]=>[5,6,8,2,3,1,4,7]=>2
[7,6,1,8,4,5,2,3]=>[3,2,5,4,8,1,6,7]=>2
[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>2
[1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]=>2
[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]=>4
[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>2
[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>3
[6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]=>3
[4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]=>3
[4,5,3,2,8,1,7,6]=>[6,7,1,8,2,3,5,4]=>3
[7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]=>2
[3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]=>2
[2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]=>3
[2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]=>3
[5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]=>4
[6,3,5,1,7,2,8,4]=>[4,8,2,7,1,5,3,6]=>3
[3,6,4,8,2,7,1,5]=>[5,1,7,2,8,4,6,3]=>3
[3,6,5,8,7,2,1,4]=>[4,1,2,7,8,5,6,3]=>3
[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>2
[8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]=>1
[8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]=>1
[2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]=>3
[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]=>2
[7,4,1,5,6,8,2,3]=>[3,2,8,6,5,1,4,7]=>2
[4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]=>3
[3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]=>3
[3,7,8,4,2,6,1,5]=>[5,1,6,2,4,8,7,3]=>3
[2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]=>5
[3,5,4,2,8,7,1,6]=>[6,1,7,8,2,4,5,3]=>3
[6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6]=>3
[2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]=>3
[2,6,5,8,7,3,4,1]=>[1,4,3,7,8,5,6,2]=>3
[6,5,2,1,8,3,4,7]=>[7,4,3,8,1,2,5,6]=>2
[2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]=>5
[4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]=>3
[4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]=>4
[3,4,6,7,2,8,1,5]=>[5,1,8,2,7,6,4,3]=>5
[3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]=>5
[5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]=>2
[4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]=>2
[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]=>1
[8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]=>1
[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]=>2
[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>2
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>2
[8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]=>1
[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>1
[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>1
[8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]=>1
[7,8,5,6,1,3,4,2]=>[2,4,3,1,6,5,8,7]=>2
[3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]=>4
[7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]=>2
[7,8,1,5,4,6,3,2]=>[2,3,6,4,5,1,8,7]=>2
[7,8,2,1,6,3,4,5]=>[5,4,3,6,1,2,8,7]=>2
[7,8,3,5,6,4,1,2]=>[2,1,4,6,5,3,8,7]=>2
[1,5,8,4,3,2,7,6]=>[6,7,2,3,4,8,5,1]=>3
[5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]=>4
[2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]=>3
[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>2
[5,7,3,6,1,4,8,2]=>[2,8,4,1,6,3,7,5]=>3
[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]=>2
[4,6,7,8,3,5,1,2]=>[2,1,5,3,8,7,6,4]=>4
[3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3]=>5
[2,1,6,8,4,5,3,7]=>[7,3,5,4,8,6,1,2]=>3
[2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]=>3
[3,7,6,8,5,4,1,2]=>[2,1,4,5,8,6,7,3]=>3
[4,3,8,5,6,7,1,2]=>[2,1,7,6,5,8,3,4]=>2
[4,2,8,1,6,3,7,5]=>[5,7,3,6,1,8,2,4]=>2
[3,1,8,5,4,6,7,2]=>[2,7,6,4,5,8,1,3]=>2
[3,2,8,4,5,6,1,7]=>[7,1,6,5,4,8,2,3]=>2
[1,7,3,8,5,2,6,4]=>[4,6,2,5,8,3,7,1]=>3
[5,7,8,6,3,2,1,4]=>[4,1,2,3,6,8,7,5]=>3
[5,7,8,6,1,3,4,2]=>[2,4,3,1,6,8,7,5]=>3
[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>3
[7,1,3,4,8,2,6,5]=>[5,6,2,8,4,3,1,7]=>2
[3,6,5,4,1,2,7,8]=>[8,7,2,1,4,5,6,3]=>4
[2,4,5,1,7,8,6,3]=>[3,6,8,7,1,5,4,2]=>5
[5,6,7,4,2,8,1,3]=>[3,1,8,2,4,7,6,5]=>4
[1,7,5,2,4,8,3,6]=>[6,3,8,4,2,5,7,1]=>3
[1,6,5,4,2,3,8,7]=>[7,8,3,2,4,5,6,1]=>3
[7,1,5,3,4,2,8,6]=>[6,8,2,4,3,5,1,7]=>2
[7,6,1,5,3,2,8,4]=>[4,8,2,3,5,1,6,7]=>2
[6,7,5,4,3,1,8,2]=>[2,8,1,3,4,5,7,6]=>3
[7,5,2,4,3,1,6,8]=>[8,6,1,3,4,2,5,7]=>2
[7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]=>2
[1,6,4,2,5,7,3,8]=>[8,3,7,5,2,4,6,1]=>4
[7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]=>2
[6,8,1,2,3,4,7,5]=>[5,7,4,3,2,1,8,6]=>2
[5,1,8,2,3,6,7,4]=>[4,7,6,3,2,8,1,5]=>2
[2,1,4,7,8,5,6,3]=>[3,6,5,8,7,4,1,2]=>4
[5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]=>2
[4,2,8,5,7,6,3,1]=>[1,3,6,7,5,8,2,4]=>2
[1,4,2,7,5,8,6,3]=>[3,6,8,5,7,2,4,1]=>4
[5,3,8,7,6,2,4,1]=>[1,4,2,6,7,8,3,5]=>2
[5,8,4,7,6,2,1,3]=>[3,1,2,6,7,4,8,5]=>2
[5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]=>2
[6,4,8,3,1,7,2,5]=>[5,2,7,1,3,8,4,6]=>2
[6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]=>2
[6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]=>2
[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>2
[1,5,3,7,8,6,2,4]=>[4,2,6,8,7,3,5,1]=>4
[5,8,7,4,1,6,2,3]=>[3,2,6,1,4,7,8,5]=>2
[6,8,5,2,4,3,7,1]=>[1,7,3,4,2,5,8,6]=>2
[6,8,5,3,1,2,7,4]=>[4,7,2,1,3,5,8,6]=>2
[4,5,1,2,7,6,3,8]=>[8,3,6,7,2,1,5,4]=>4
[3,5,7,1,2,8,6,4]=>[4,6,8,2,1,7,5,3]=>4
[3,6,2,7,5,1,4,8]=>[8,4,1,5,7,2,6,3]=>4
[3,1,4,5,8,6,7,2]=>[2,7,6,8,5,4,1,3]=>4
[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>8
[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>9
[8,6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6,8]=>1
[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]=>1
[7,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,7]=>2
[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]=>1
[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]=>2
[5,8,6,7,3,4,1,2]=>[2,1,4,3,7,6,8,5]=>2
[3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]=>2
[2,8,6,7,4,5,1,3]=>[3,1,5,4,7,6,8,2]=>2
[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]=>2
[1,8,5,7,4,6,2,3]=>[3,2,6,4,7,5,8,1]=>2
[7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]=>2
[7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]=>2
[1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]=>2
[3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]=>2
[2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]=>2
[1,8,5,7,3,6,2,4]=>[4,2,6,3,7,5,8,1]=>2
[1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]=>2
[2,8,6,7,3,5,1,4]=>[4,1,5,3,7,6,8,2]=>2
[3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]=>2
[6,8,5,7,1,4,2,3]=>[3,2,4,1,7,5,8,6]=>2
[5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]=>2
[4,8,6,7,1,5,2,3]=>[3,2,5,1,7,6,8,4]=>2
[3,8,6,7,1,5,2,4]=>[4,2,5,1,7,6,8,3]=>2
[3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]=>2
[6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]=>2
[7,8,4,6,1,5,2,3]=>[3,2,5,1,6,4,8,7]=>2
[7,8,3,6,1,5,2,4]=>[4,2,5,1,6,3,8,7]=>2
[4,8,3,7,1,6,2,5]=>[5,2,6,1,7,3,8,4]=>2
[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>9
[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>10
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>1
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>2
[8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>2
[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>2
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>2
[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>2
[9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>2
[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>2
[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>1
[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>1
[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]=>1
[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>4
[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>2
[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>2
[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>2
[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>2
[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>10
[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>6
[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]=>1
[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]=>2
[7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]=>2
[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>1
[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>1
[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>1
[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>1
[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>1
[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>1
[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>1
[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]=>4
[9,10,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,10,9]=>2
[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>1
[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>1
[9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9]=>2
[9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9]=>2
[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]=>1
[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]=>1
[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>2
[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]=>1
[8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]=>1
[6,3,5,4,8,2,7,1]=>[1,7,2,8,4,5,3,6]=>2
[7,8,2,6,1,5,3,4]=>[4,3,5,1,6,2,8,7]=>2
[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]=>2
[1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]=>2
[5,8,1,7,2,6,3,4]=>[4,3,6,2,7,1,8,5]=>2
[5,8,2,7,1,6,3,4]=>[4,3,6,1,7,2,8,5]=>2
[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]=>2
[2,8,1,7,4,6,3,5]=>[5,3,6,4,7,1,8,2]=>2
[1,8,4,7,5,6,2,3]=>[3,2,6,5,7,4,8,1]=>2
[1,8,3,7,2,6,4,5]=>[5,4,6,2,7,3,8,1]=>2
[3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]=>2
[3,8,2,7,1,6,4,5]=>[5,4,6,1,7,2,8,3]=>2
[3,8,4,7,5,6,1,2]=>[2,1,6,5,7,4,8,3]=>2
[2,8,4,7,5,6,1,3]=>[3,1,6,5,7,4,8,2]=>2
[2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2]=>2
[2,8,3,7,4,6,1,5]=>[5,1,6,4,7,3,8,2]=>2
[2,8,3,7,1,6,4,5]=>[5,4,6,1,7,3,8,2]=>2
[2,8,1,7,3,6,4,5]=>[5,4,6,3,7,1,8,2]=>2
[2,4,7,3,5,6,8,1]=>[1,8,6,5,3,7,4,2]=>4
[3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]=>4
[8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]=>1
[1,6,4,7,5,8,2,3]=>[3,2,8,5,7,4,6,1]=>4
[5,4,3,8,6,7,2,1]=>[1,2,7,6,8,3,4,5]=>2
[2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2]=>5
[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>7
[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>6
[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>5
[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>4
[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>3
[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>8
[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>7
[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>6
[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>5
[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>4
[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>3
[7,6,2,8,3,1,4,5]=>[5,4,1,3,8,2,6,7]=>2
[5,2,1,8,4,3,7,6]=>[6,7,3,4,8,1,2,5]=>2
[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]=>1
[7,5,4,3,2,8,6,1]=>[1,6,8,2,3,4,5,7]=>2
[2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]=>7
[1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]=>2
[8,6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6,8]=>1
[8,4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4,8]=>1
[4,2,3,8,5,6,1,7]=>[7,1,6,5,8,3,2,4]=>2
[7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7]=>2
[6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>2
[8,7,6,5,4,3,1,9,2]=>[2,9,1,3,4,5,6,7,8]=>2
[7,9,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,7]=>2
[9,8,7,6,5,4,3,1,10,2]=>[2,10,1,3,4,5,6,7,8,9]=>2
[8,10,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,10,8]=>2
[8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]=>1
[6,8,5,4,3,2,7,1]=>[1,7,2,3,4,5,8,6]=>2
[10,11,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,11,10]=>2
[7,9,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,9,7]=>2
[8,9,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,9,8]=>2
[6,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,6]=>2
[5,8,4,3,2,1,7,6]=>[6,7,1,2,3,4,8,5]=>2
[6,5,4,3,1,8,7,2]=>[2,7,8,1,3,4,5,6]=>2
[8,7,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,7,8]=>2
[8,7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7,8]=>1
[9,7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7,9]=>1
[11,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,11]=>1
[1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]=>2
[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]=>2
[1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1]=>2
[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>4
[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>4
[8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]=>1
[7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7]=>2
[7,6,4,3,8,2,5,1]=>[1,5,2,8,3,4,6,7]=>2
[7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]=>2
[7,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,7]=>2
[7,6,4,2,5,1,8,3]=>[3,8,1,5,2,4,6,7]=>2
[5,3,4,8,2,7,6,1]=>[1,6,7,2,8,4,3,5]=>2
[5,3,8,2,4,1,7,6]=>[6,7,1,4,2,8,3,5]=>2
[5,2,8,4,1,7,3,6]=>[6,3,7,1,4,8,2,5]=>2
[6,4,2,5,1,8,7,3]=>[3,7,8,1,5,2,4,6]=>2
[6,4,3,5,8,2,1,7]=>[7,1,2,8,5,3,4,6]=>2
[6,4,5,3,8,2,1,7]=>[7,1,2,8,3,5,4,6]=>2
[6,4,3,8,5,7,2,1]=>[1,2,7,5,8,3,4,6]=>2
[6,4,2,8,5,3,1,7]=>[7,1,3,5,8,2,4,6]=>2
[3,2,1,6,5,4,9,8,7]=>[7,8,9,4,5,6,1,2,3]=>3
[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>2
[5,4,8,3,6,2,7,1]=>[1,7,2,6,3,8,4,5]=>2
[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>2
[1,4,7,2,6,3,5,8]=>[8,5,3,6,2,7,4,1]=>4
[7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>2
[4,3,2,1,7,6,5,9,8,10]=>[10,8,9,5,6,7,1,2,3,4]=>4
[10,3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3,10]=>1
[10,9,4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4,9,10]=>1
[10,9,8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8,9,10]=>1
[1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]=>2
[6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]=>2
[7,6,4,8,5,1,2,3]=>[3,2,1,5,8,4,6,7]=>2
[8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]=>1
[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>2
[9,6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6,9]=>1
[7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]=>2
[7,4,2,1,8,6,5,3]=>[3,5,6,8,1,2,4,7]=>2
[7,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,7]=>2
[7,6,5,3,8,2,4,1]=>[1,4,2,8,3,5,6,7]=>2
[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>2
[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]=>3
[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>2
[5,4,3,2,1,8,7,6,9]=>[9,6,7,8,1,2,3,4,5]=>3
[3,2,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,2,3]=>4
[2,1,4,3,6,5,7,8,9]=>[9,8,7,5,6,3,4,1,2]=>6
[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]=>7
[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>2
[6,5,4,3,2,1,9,8,7,10]=>[10,7,8,9,1,2,3,4,5,6]=>3
[5,4,3,2,1,9,8,7,6,10]=>[10,6,7,8,9,1,2,3,4,5]=>3
[5,4,3,2,1,8,7,6,10,9]=>[9,10,6,7,8,1,2,3,4,5]=>3
[4,3,2,1,7,6,5,10,9,8]=>[8,9,10,5,6,7,1,2,3,4]=>3
[3,2,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,2,3]=>5
[2,1,4,3,6,5,8,7,9,10]=>[10,9,7,8,5,6,3,4,1,2]=>6
[2,1,4,3,6,5,7,8,9,10]=>[10,9,8,7,5,6,3,4,1,2]=>7
[2,1,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,1,2]=>8
[5,6,7,8,9,10,1,2,3,4]=>[4,3,2,1,10,9,8,7,6,5]=>6
[5,6,7,8,9,10,3,4,1,2]=>[2,1,4,3,10,9,8,7,6,5]=>6
[7,8,9,10,3,4,5,6,1,2]=>[2,1,6,5,4,3,10,9,8,7]=>4
[7,8,9,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,9,8,7]=>4
[6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6]=>2
[6,5,3,1,8,7,4,2]=>[2,4,7,8,1,3,5,6]=>2
[6,4,3,1,8,7,5,2]=>[2,5,7,8,1,3,4,6]=>2
[5,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,5]=>2
[7,5,2,1,8,6,4,3]=>[3,4,6,8,1,2,5,7]=>2
[5,4,2,1,8,7,6,3]=>[3,6,7,8,1,2,4,5]=>2
[7,3,2,1,8,6,5,4]=>[4,5,6,8,1,2,3,7]=>2
[6,3,2,1,8,7,5,4]=>[4,5,7,8,1,2,3,6]=>2
[9,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,9]=>2
[8,6,4,2,1,10,9,7,5,3]=>[3,5,7,9,10,1,2,4,6,8]=>2
[11,9,7,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>2
[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]=>1
[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>1
[6,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,6]=>2
[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>1
[8,5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5,8]=>1
[8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]=>1
[6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>2
[1,6,7,5,3,8,4,2]=>[2,4,8,3,5,7,6,1]=>4
[6,5,7,3,8,2,4,1]=>[1,4,2,8,3,7,5,6]=>3
[1,8,2,4,6,3,5,7]=>[7,5,3,6,4,2,8,1]=>2
[3,5,2,4,7,1,6,8]=>[8,6,1,7,4,2,5,3]=>4
[4,5,3,7,1,6,2,8]=>[8,2,6,1,7,3,5,4]=>4
[4,2,3,5,6,8,1,7]=>[7,1,8,6,5,3,2,4]=>4
[6,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,6]=>2
[7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7]=>2
[11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11]=>1
[10,7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7,10]=>1
[9,6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6,9]=>1
[9,7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7,9]=>1
[8,5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5,8]=>1
[6,5,4,8,3,2,7,1]=>[1,7,2,3,8,4,5,6]=>2
[7,6,5,4,3,9,2,8,1]=>[1,8,2,9,3,4,5,6,7]=>2
[7,6,4,3,2,8,5,1]=>[1,5,8,2,3,4,6,7]=>2
[8,7,6,5,4,3,2,10,9,1]=>[1,9,10,2,3,4,5,6,7,8]=>2
[10,9,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>2
[7,3,8,4,1,2,6,5]=>[5,6,2,1,4,8,3,7]=>2
[9,1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1,9]=>1
[8,1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1,8]=>1
[2,3,4,6,5,7,8,9,1]=>[1,9,8,7,5,6,4,3,2]=>7
[10,1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1,10]=>1
[2,3,4,5,7,6,8,9,10,1]=>[1,10,9,8,6,7,5,4,3,2]=>8
[9,10,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,10,9]=>2
[7,8,9,10,5,6,1,2,3,4]=>[4,3,2,1,6,5,10,9,8,7]=>4
[3,4,5,6,7,8,9,10,11,12,1,2]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>10
[11,12,9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>2
[11,12,9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>2
[11,12,7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>2
[11,12,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[1,2,3,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>12
[5,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,5]=>3
[6,2,4,8,3,1,5,7]=>[7,5,1,3,8,4,2,6]=>2
[8,7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7,8]=>1
[8,6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6,8]=>1
[7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7]=>2
[6,4,5,3,8,2,7,1]=>[1,7,2,8,3,5,4,6]=>2
[8,4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4,8]=>1
[8,4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4,8]=>1
[8,5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5,8]=>1
[7,5,8,4,3,2,6,1]=>[1,6,2,3,4,8,5,7]=>2
[6,5,8,4,3,2,7,1]=>[1,7,2,3,4,8,5,6]=>2
[7,5,8,3,4,2,6,1]=>[1,6,2,4,3,8,5,7]=>2
[7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]=>2
[7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]=>2
[6,4,8,3,5,2,7,1]=>[1,7,2,5,3,8,4,6]=>2
[6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]=>3
[5,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,5]=>2
[6,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,6]=>2
[6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]=>2
[6,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,6]=>2
[6,4,7,3,8,2,5,1]=>[1,5,2,8,3,7,4,6]=>3
[5,4,7,3,8,2,6,1]=>[1,6,2,8,3,7,4,5]=>3
[5,4,6,3,8,2,7,1]=>[1,7,2,8,3,6,4,5]=>3
[2,3,4,5,6,8,9,7,1]=>[1,7,9,8,6,5,4,3,2]=>7
[8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]=>1
[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>3
[8,1,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,1,8]=>2
[8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8]=>1
[3,6,5,7,4,8,1,2]=>[2,1,8,4,7,5,6,3]=>4
[5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]=>4
[1,5,7,3,4,8,6,2]=>[2,6,8,4,3,7,5,1]=>4
[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]=>2
[8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8]=>2
[8,7,6,5,4,1,3,2,9]=>[9,2,3,1,4,5,6,7,8]=>2
[1,9,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,9,1]=>2
[1,8,7,6,2,5,4,3]=>[3,4,5,2,6,7,8,1]=>2
[1,10,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,10,1]=>2
[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>3
[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>3
[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>3
[8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8]=>1
[8,7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7,8]=>1
[8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8]=>1
[9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9]=>1
[9,8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8,9]=>1
[9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9]=>1
[9,8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8,9]=>1
[9,8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8,9]=>1
[9,2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2,9]=>1
[7,1,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,1,7]=>2
[10,9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9,10]=>1
[10,9,8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8,9,10]=>1
[10,9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9,10]=>1
[10,9,2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2,9,10]=>1
[10,7,1,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,1,7,10]=>1
[8,1,10,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,10,1,8]=>2
[1,8,6,3,7,4,2,5]=>[5,2,4,7,3,6,8,1]=>2
[1,8,6,5,7,2,3,4]=>[4,3,2,7,5,6,8,1]=>2
[7,6,3,8,4,2,1,5]=>[5,1,2,4,8,3,6,7]=>2
[7,2,8,5,1,6,3,4]=>[4,3,6,1,5,8,2,7]=>2
[7,6,8,1,2,5,3,4]=>[4,3,5,2,1,8,6,7]=>2
[9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9]=>1
[10,1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1,10]=>1
[9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9]=>1
[9,1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1,9]=>1
[10,1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1,10]=>1
[9,1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1,9]=>1
[2,3,4,5,6,9,7,8,1]=>[1,8,7,9,6,5,4,3,2]=>6
[2,3,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,3,2]=>8
[3,5,4,7,2,6,1,8]=>[8,1,6,2,7,4,5,3]=>4
[1,6,7,5,3,4,8,2]=>[2,8,4,3,5,7,6,1]=>4
[1,6,7,5,8,2,3,4]=>[4,3,2,8,5,7,6,1]=>4
[2,4,7,3,5,8,6,1]=>[1,6,8,5,3,7,4,2]=>4
[5,8,4,1,3,7,6,2]=>[2,6,7,3,1,4,8,5]=>2
[4,3,8,6,5,7,1,2]=>[2,1,7,5,6,8,3,4]=>2
[1,5,4,7,3,6,8,2]=>[2,8,6,3,7,4,5,1]=>4
[7,5,3,4,8,2,1,6]=>[6,1,2,8,4,3,5,7]=>2
[7,4,3,8,5,2,6,1]=>[1,6,2,5,8,3,4,7]=>2
[4,6,2,7,3,1,5,8]=>[8,5,1,3,7,2,6,4]=>4
[7,6,3,8,2,4,5,1]=>[1,5,4,2,8,3,6,7]=>2
[1,5,3,7,6,8,4,2]=>[2,4,8,6,7,3,5,1]=>4
[3,2,4,7,8,5,1,6]=>[6,1,5,8,7,4,2,3]=>4
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Description
The number of saliances of the permutation.
A saliance is a right-to-left maximum. This can be described as an occurrence of the mesh pattern $([1], {(1,1)})$, i.e., the upper right quadrant is shaded, see [1].
A saliance is a right-to-left maximum. This can be described as an occurrence of the mesh pattern $([1], {(1,1)})$, i.e., the upper right quadrant is shaded, see [1].
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
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