Identifier
-
Mp00064:
Permutations
—reverse⟶
Permutations
Mp00254: Permutations —Inverse fireworks map⟶ Permutations
St000366: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>[1]=>0
[1,2]=>[2,1]=>[2,1]=>0
[2,1]=>[1,2]=>[1,2]=>0
[1,2,3]=>[3,2,1]=>[3,2,1]=>1
[1,3,2]=>[2,3,1]=>[1,3,2]=>0
[2,1,3]=>[3,1,2]=>[3,1,2]=>0
[2,3,1]=>[1,3,2]=>[1,3,2]=>0
[3,1,2]=>[2,1,3]=>[2,1,3]=>0
[3,2,1]=>[1,2,3]=>[1,2,3]=>0
[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1]=>2
[1,2,4,3]=>[3,4,2,1]=>[1,4,3,2]=>1
[1,3,2,4]=>[4,2,3,1]=>[4,1,3,2]=>0
[1,3,4,2]=>[2,4,3,1]=>[1,4,3,2]=>1
[1,4,2,3]=>[3,2,4,1]=>[2,1,4,3]=>0
[1,4,3,2]=>[2,3,4,1]=>[1,2,4,3]=>0
[2,1,3,4]=>[4,3,1,2]=>[4,3,1,2]=>1
[2,1,4,3]=>[3,4,1,2]=>[2,4,1,3]=>0
[2,3,1,4]=>[4,1,3,2]=>[4,1,3,2]=>0
[2,3,4,1]=>[1,4,3,2]=>[1,4,3,2]=>1
[2,4,1,3]=>[3,1,4,2]=>[2,1,4,3]=>0
[2,4,3,1]=>[1,3,4,2]=>[1,2,4,3]=>0
[3,1,2,4]=>[4,2,1,3]=>[4,2,1,3]=>1
[3,1,4,2]=>[2,4,1,3]=>[2,4,1,3]=>0
[3,2,1,4]=>[4,1,2,3]=>[4,1,2,3]=>0
[3,2,4,1]=>[1,4,2,3]=>[1,4,2,3]=>0
[3,4,1,2]=>[2,1,4,3]=>[2,1,4,3]=>0
[3,4,2,1]=>[1,2,4,3]=>[1,2,4,3]=>0
[4,1,2,3]=>[3,2,1,4]=>[3,2,1,4]=>1
[4,1,3,2]=>[2,3,1,4]=>[1,3,2,4]=>0
[4,2,1,3]=>[3,1,2,4]=>[3,1,2,4]=>0
[4,2,3,1]=>[1,3,2,4]=>[1,3,2,4]=>0
[4,3,1,2]=>[2,1,3,4]=>[2,1,3,4]=>0
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>0
[1,2,3,4,5]=>[5,4,3,2,1]=>[5,4,3,2,1]=>3
[1,2,3,5,4]=>[4,5,3,2,1]=>[1,5,4,3,2]=>2
[1,2,4,3,5]=>[5,3,4,2,1]=>[5,1,4,3,2]=>1
[1,2,4,5,3]=>[3,5,4,2,1]=>[1,5,4,3,2]=>2
[1,2,5,3,4]=>[4,3,5,2,1]=>[2,1,5,4,3]=>1
[1,2,5,4,3]=>[3,4,5,2,1]=>[1,2,5,4,3]=>1
[1,3,2,4,5]=>[5,4,2,3,1]=>[5,4,1,3,2]=>1
[1,3,2,5,4]=>[4,5,2,3,1]=>[2,5,1,4,3]=>0
[1,3,4,2,5]=>[5,2,4,3,1]=>[5,1,4,3,2]=>1
[1,3,4,5,2]=>[2,5,4,3,1]=>[1,5,4,3,2]=>2
[1,3,5,2,4]=>[4,2,5,3,1]=>[2,1,5,4,3]=>1
[1,3,5,4,2]=>[2,4,5,3,1]=>[1,2,5,4,3]=>1
[1,4,2,3,5]=>[5,3,2,4,1]=>[5,2,1,4,3]=>1
[1,4,2,5,3]=>[3,5,2,4,1]=>[2,5,1,4,3]=>0
[1,4,3,2,5]=>[5,2,3,4,1]=>[5,1,2,4,3]=>0
[1,4,3,5,2]=>[2,5,3,4,1]=>[1,5,2,4,3]=>0
[1,4,5,2,3]=>[3,2,5,4,1]=>[2,1,5,4,3]=>1
[1,4,5,3,2]=>[2,3,5,4,1]=>[1,2,5,4,3]=>1
[1,5,2,3,4]=>[4,3,2,5,1]=>[3,2,1,5,4]=>1
[1,5,2,4,3]=>[3,4,2,5,1]=>[1,3,2,5,4]=>0
[1,5,3,2,4]=>[4,2,3,5,1]=>[3,1,2,5,4]=>0
[1,5,3,4,2]=>[2,4,3,5,1]=>[1,3,2,5,4]=>0
[1,5,4,2,3]=>[3,2,4,5,1]=>[2,1,3,5,4]=>0
[1,5,4,3,2]=>[2,3,4,5,1]=>[1,2,3,5,4]=>0
[2,1,3,4,5]=>[5,4,3,1,2]=>[5,4,3,1,2]=>2
[2,1,3,5,4]=>[4,5,3,1,2]=>[2,5,4,1,3]=>1
[2,1,4,3,5]=>[5,3,4,1,2]=>[5,2,4,1,3]=>0
[2,1,4,5,3]=>[3,5,4,1,2]=>[2,5,4,1,3]=>1
[2,1,5,3,4]=>[4,3,5,1,2]=>[3,2,5,1,4]=>0
[2,1,5,4,3]=>[3,4,5,1,2]=>[1,3,5,2,4]=>0
[2,3,1,4,5]=>[5,4,1,3,2]=>[5,4,1,3,2]=>1
[2,3,1,5,4]=>[4,5,1,3,2]=>[2,5,1,4,3]=>0
[2,3,4,1,5]=>[5,1,4,3,2]=>[5,1,4,3,2]=>1
[2,3,4,5,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>2
[2,3,5,1,4]=>[4,1,5,3,2]=>[2,1,5,4,3]=>1
[2,3,5,4,1]=>[1,4,5,3,2]=>[1,2,5,4,3]=>1
[2,4,1,3,5]=>[5,3,1,4,2]=>[5,2,1,4,3]=>1
[2,4,1,5,3]=>[3,5,1,4,2]=>[2,5,1,4,3]=>0
[2,4,3,1,5]=>[5,1,3,4,2]=>[5,1,2,4,3]=>0
[2,4,3,5,1]=>[1,5,3,4,2]=>[1,5,2,4,3]=>0
[2,4,5,1,3]=>[3,1,5,4,2]=>[2,1,5,4,3]=>1
[2,4,5,3,1]=>[1,3,5,4,2]=>[1,2,5,4,3]=>1
[2,5,1,3,4]=>[4,3,1,5,2]=>[3,2,1,5,4]=>1
[2,5,1,4,3]=>[3,4,1,5,2]=>[1,3,2,5,4]=>0
[2,5,3,1,4]=>[4,1,3,5,2]=>[3,1,2,5,4]=>0
[2,5,3,4,1]=>[1,4,3,5,2]=>[1,3,2,5,4]=>0
[2,5,4,1,3]=>[3,1,4,5,2]=>[2,1,3,5,4]=>0
[2,5,4,3,1]=>[1,3,4,5,2]=>[1,2,3,5,4]=>0
[3,1,2,4,5]=>[5,4,2,1,3]=>[5,4,2,1,3]=>2
[3,1,2,5,4]=>[4,5,2,1,3]=>[3,5,2,1,4]=>1
[3,1,4,2,5]=>[5,2,4,1,3]=>[5,2,4,1,3]=>0
[3,1,4,5,2]=>[2,5,4,1,3]=>[2,5,4,1,3]=>1
[3,1,5,2,4]=>[4,2,5,1,3]=>[3,2,5,1,4]=>0
[3,1,5,4,2]=>[2,4,5,1,3]=>[1,3,5,2,4]=>0
[3,2,1,4,5]=>[5,4,1,2,3]=>[5,4,1,2,3]=>1
[3,2,1,5,4]=>[4,5,1,2,3]=>[3,5,1,2,4]=>0
[3,2,4,1,5]=>[5,1,4,2,3]=>[5,1,4,2,3]=>0
[3,2,4,5,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>1
[3,2,5,1,4]=>[4,1,5,2,3]=>[3,1,5,2,4]=>0
[3,2,5,4,1]=>[1,4,5,2,3]=>[1,3,5,2,4]=>0
[3,4,1,2,5]=>[5,2,1,4,3]=>[5,2,1,4,3]=>1
[3,4,1,5,2]=>[2,5,1,4,3]=>[2,5,1,4,3]=>0
[3,4,2,1,5]=>[5,1,2,4,3]=>[5,1,2,4,3]=>0
[3,4,2,5,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>0
[3,4,5,1,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>1
[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>1
[3,5,1,2,4]=>[4,2,1,5,3]=>[3,2,1,5,4]=>1
[3,5,1,4,2]=>[2,4,1,5,3]=>[1,3,2,5,4]=>0
[3,5,2,1,4]=>[4,1,2,5,3]=>[3,1,2,5,4]=>0
[3,5,2,4,1]=>[1,4,2,5,3]=>[1,3,2,5,4]=>0
[3,5,4,1,2]=>[2,1,4,5,3]=>[2,1,3,5,4]=>0
[3,5,4,2,1]=>[1,2,4,5,3]=>[1,2,3,5,4]=>0
[4,1,2,3,5]=>[5,3,2,1,4]=>[5,3,2,1,4]=>2
[4,1,2,5,3]=>[3,5,2,1,4]=>[3,5,2,1,4]=>1
[4,1,3,2,5]=>[5,2,3,1,4]=>[5,1,3,2,4]=>0
[4,1,3,5,2]=>[2,5,3,1,4]=>[1,5,3,2,4]=>1
[4,1,5,2,3]=>[3,2,5,1,4]=>[3,2,5,1,4]=>0
[4,1,5,3,2]=>[2,3,5,1,4]=>[1,3,5,2,4]=>0
[4,2,1,3,5]=>[5,3,1,2,4]=>[5,3,1,2,4]=>1
[4,2,1,5,3]=>[3,5,1,2,4]=>[3,5,1,2,4]=>0
[4,2,3,1,5]=>[5,1,3,2,4]=>[5,1,3,2,4]=>0
[4,2,3,5,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>1
[4,2,5,1,3]=>[3,1,5,2,4]=>[3,1,5,2,4]=>0
[4,2,5,3,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>0
[4,3,1,2,5]=>[5,2,1,3,4]=>[5,2,1,3,4]=>1
[4,3,1,5,2]=>[2,5,1,3,4]=>[2,5,1,3,4]=>0
[4,3,2,1,5]=>[5,1,2,3,4]=>[5,1,2,3,4]=>0
[4,3,2,5,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[4,3,5,1,2]=>[2,1,5,3,4]=>[2,1,5,3,4]=>0
[4,3,5,2,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[4,5,1,2,3]=>[3,2,1,5,4]=>[3,2,1,5,4]=>1
[4,5,1,3,2]=>[2,3,1,5,4]=>[1,3,2,5,4]=>0
[4,5,2,1,3]=>[3,1,2,5,4]=>[3,1,2,5,4]=>0
[4,5,2,3,1]=>[1,3,2,5,4]=>[1,3,2,5,4]=>0
[4,5,3,1,2]=>[2,1,3,5,4]=>[2,1,3,5,4]=>0
[4,5,3,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0
[5,1,2,3,4]=>[4,3,2,1,5]=>[4,3,2,1,5]=>2
[5,1,2,4,3]=>[3,4,2,1,5]=>[1,4,3,2,5]=>1
[5,1,3,2,4]=>[4,2,3,1,5]=>[4,1,3,2,5]=>0
[5,1,3,4,2]=>[2,4,3,1,5]=>[1,4,3,2,5]=>1
[5,1,4,2,3]=>[3,2,4,1,5]=>[2,1,4,3,5]=>0
[5,1,4,3,2]=>[2,3,4,1,5]=>[1,2,4,3,5]=>0
[5,2,1,3,4]=>[4,3,1,2,5]=>[4,3,1,2,5]=>1
[5,2,1,4,3]=>[3,4,1,2,5]=>[2,4,1,3,5]=>0
[5,2,3,1,4]=>[4,1,3,2,5]=>[4,1,3,2,5]=>0
[5,2,3,4,1]=>[1,4,3,2,5]=>[1,4,3,2,5]=>1
[5,2,4,1,3]=>[3,1,4,2,5]=>[2,1,4,3,5]=>0
[5,2,4,3,1]=>[1,3,4,2,5]=>[1,2,4,3,5]=>0
[5,3,1,2,4]=>[4,2,1,3,5]=>[4,2,1,3,5]=>1
[5,3,1,4,2]=>[2,4,1,3,5]=>[2,4,1,3,5]=>0
[5,3,2,1,4]=>[4,1,2,3,5]=>[4,1,2,3,5]=>0
[5,3,2,4,1]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[5,3,4,1,2]=>[2,1,4,3,5]=>[2,1,4,3,5]=>0
[5,3,4,2,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0
[5,4,1,2,3]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1
[5,4,1,3,2]=>[2,3,1,4,5]=>[1,3,2,4,5]=>0
[5,4,2,1,3]=>[3,1,2,4,5]=>[3,1,2,4,5]=>0
[5,4,2,3,1]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0
[5,4,3,1,2]=>[2,1,3,4,5]=>[2,1,3,4,5]=>0
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>4
[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[1,6,5,4,3,2]=>3
[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[6,1,5,4,3,2]=>2
[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[1,6,5,4,3,2]=>3
[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,1,6,5,4,3]=>2
[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[1,2,6,5,4,3]=>2
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[6,5,1,4,3,2]=>2
[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,6,1,5,4,3]=>1
[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[6,1,5,4,3,2]=>2
[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[1,6,5,4,3,2]=>3
[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,1,6,5,4,3]=>2
[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[1,2,6,5,4,3]=>2
[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[6,2,1,5,4,3]=>2
[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,6,1,5,4,3]=>1
[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[6,1,2,5,4,3]=>1
[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[1,6,2,5,4,3]=>1
[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,1,6,5,4,3]=>2
[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[1,2,6,5,4,3]=>2
[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[3,2,1,6,5,4]=>2
[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[1,3,2,6,5,4]=>1
[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[3,1,2,6,5,4]=>1
[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[1,3,2,6,5,4]=>1
[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[2,1,3,6,5,4]=>1
[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[1,2,3,6,5,4]=>1
[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[6,5,4,1,3,2]=>2
[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[2,6,5,1,4,3]=>1
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[6,2,5,1,4,3]=>0
[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[2,6,5,1,4,3]=>1
[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,2,6,1,5,4]=>0
[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[1,3,6,2,5,4]=>0
[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[6,5,1,4,3,2]=>2
[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[2,6,1,5,4,3]=>1
[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[6,1,5,4,3,2]=>2
[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[1,6,5,4,3,2]=>3
[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[2,1,6,5,4,3]=>2
[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[1,2,6,5,4,3]=>2
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[6,2,1,5,4,3]=>2
[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[2,6,1,5,4,3]=>1
[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[6,1,2,5,4,3]=>1
[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[1,6,2,5,4,3]=>1
[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[2,1,6,5,4,3]=>2
[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[1,2,6,5,4,3]=>2
[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,2,1,6,5,4]=>2
[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[1,3,2,6,5,4]=>1
[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[3,1,2,6,5,4]=>1
[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[1,3,2,6,5,4]=>1
[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[2,1,3,6,5,4]=>1
[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[1,2,3,6,5,4]=>1
[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[6,5,2,1,4,3]=>2
[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[3,6,2,1,5,4]=>1
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[6,2,5,1,4,3]=>0
[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[2,6,5,1,4,3]=>1
[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[3,2,6,1,5,4]=>0
[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>0
[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[6,5,1,2,4,3]=>1
[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[3,6,1,2,5,4]=>0
[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[6,1,5,2,4,3]=>0
[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[1,6,5,2,4,3]=>1
[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[3,1,6,2,5,4]=>0
[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[1,3,6,2,5,4]=>0
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[6,2,1,5,4,3]=>2
[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[2,6,1,5,4,3]=>1
[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[6,1,2,5,4,3]=>1
[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[1,6,2,5,4,3]=>1
[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[2,1,6,5,4,3]=>2
[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[1,2,6,5,4,3]=>2
[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[3,2,1,6,5,4]=>2
[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[1,3,2,6,5,4]=>1
[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[3,1,2,6,5,4]=>1
[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[1,3,2,6,5,4]=>1
[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[2,1,3,6,5,4]=>1
[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[1,2,3,6,5,4]=>1
[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[6,3,2,1,5,4]=>2
[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[3,6,2,1,5,4]=>1
[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[6,1,3,2,5,4]=>0
[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[1,6,3,2,5,4]=>1
[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[3,2,6,1,5,4]=>0
[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[1,3,6,2,5,4]=>0
[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[6,3,1,2,5,4]=>1
[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[3,6,1,2,5,4]=>0
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[6,1,3,2,5,4]=>0
[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[1,6,3,2,5,4]=>1
[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[3,1,6,2,5,4]=>0
[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[1,3,6,2,5,4]=>0
[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[6,2,1,3,5,4]=>1
[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[2,6,1,3,5,4]=>0
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>0
[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[1,6,2,3,5,4]=>0
[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[2,1,6,3,5,4]=>0
[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[1,2,6,3,5,4]=>0
[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[3,2,1,6,5,4]=>2
[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[1,3,2,6,5,4]=>1
[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[3,1,2,6,5,4]=>1
[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[1,3,2,6,5,4]=>1
[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[2,1,3,6,5,4]=>1
[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[1,2,3,6,5,4]=>1
[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[4,3,2,1,6,5]=>2
[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[1,4,3,2,6,5]=>1
[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[4,1,3,2,6,5]=>0
[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[1,4,3,2,6,5]=>1
[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[2,1,4,3,6,5]=>0
[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[1,2,4,3,6,5]=>0
[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[4,3,1,2,6,5]=>1
[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[2,4,1,3,6,5]=>0
[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[4,1,3,2,6,5]=>0
[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[1,4,3,2,6,5]=>1
[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[2,1,4,3,6,5]=>0
[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[1,2,4,3,6,5]=>0
[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[4,2,1,3,6,5]=>1
[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[2,4,1,3,6,5]=>0
[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[4,1,2,3,6,5]=>0
[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[1,4,2,3,6,5]=>0
[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[2,1,4,3,6,5]=>0
[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[1,2,4,3,6,5]=>0
[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[3,2,1,4,6,5]=>1
[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[1,3,2,4,6,5]=>0
[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[3,1,2,4,6,5]=>0
[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[1,3,2,4,6,5]=>0
[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[2,1,3,4,6,5]=>0
[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[1,2,3,4,6,5]=>0
[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>3
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[2,6,5,4,1,3]=>2
[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[6,2,5,4,1,3]=>1
[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[2,6,5,4,1,3]=>2
[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[3,2,6,5,1,4]=>1
[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[1,3,6,5,2,4]=>1
[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[6,5,2,4,1,3]=>1
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[3,6,2,5,1,4]=>0
[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[6,2,5,4,1,3]=>1
[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[2,6,5,4,1,3]=>2
[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[3,2,6,5,1,4]=>1
[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[1,3,6,5,2,4]=>1
[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[6,3,2,5,1,4]=>1
[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[3,6,2,5,1,4]=>0
[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[6,1,3,5,2,4]=>0
[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[1,6,3,5,2,4]=>0
[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[3,2,6,5,1,4]=>1
[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[1,3,6,5,2,4]=>1
[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[4,3,2,6,1,5]=>1
[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[1,4,3,6,2,5]=>0
[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[4,1,3,6,2,5]=>0
[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[1,4,3,6,2,5]=>0
[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[2,1,4,6,3,5]=>0
[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[1,2,4,6,3,5]=>0
[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>2
[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[2,6,5,1,4,3]=>1
[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[6,2,5,1,4,3]=>0
[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[2,6,5,1,4,3]=>1
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[3,2,6,1,5,4]=>0
[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[1,3,6,2,5,4]=>0
[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>2
[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[2,6,1,5,4,3]=>1
[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>2
[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>3
[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[2,1,6,5,4,3]=>2
[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[1,2,6,5,4,3]=>2
[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[6,2,1,5,4,3]=>2
[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[2,6,1,5,4,3]=>1
[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[6,1,2,5,4,3]=>1
[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[1,6,2,5,4,3]=>1
[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[2,1,6,5,4,3]=>2
[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[1,2,6,5,4,3]=>2
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[3,2,1,6,5,4]=>2
[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[1,3,2,6,5,4]=>1
[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[3,1,2,6,5,4]=>1
[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[1,3,2,6,5,4]=>1
[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[2,1,3,6,5,4]=>1
[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[1,2,3,6,5,4]=>1
[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[6,5,2,1,4,3]=>2
[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[3,6,2,1,5,4]=>1
[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[6,2,5,1,4,3]=>0
[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[2,6,5,1,4,3]=>1
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[3,2,6,1,5,4]=>0
[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>0
[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[6,5,1,2,4,3]=>1
[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[3,6,1,2,5,4]=>0
[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[6,1,5,2,4,3]=>0
[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[1,6,5,2,4,3]=>1
[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[3,1,6,2,5,4]=>0
[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[1,3,6,2,5,4]=>0
[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[6,2,1,5,4,3]=>2
[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[2,6,1,5,4,3]=>1
[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[6,1,2,5,4,3]=>1
[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[1,6,2,5,4,3]=>1
[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[2,1,6,5,4,3]=>2
[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[1,2,6,5,4,3]=>2
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[3,2,1,6,5,4]=>2
[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[1,3,2,6,5,4]=>1
[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[3,1,2,6,5,4]=>1
[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[1,3,2,6,5,4]=>1
[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[2,1,3,6,5,4]=>1
[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[1,2,3,6,5,4]=>1
[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[6,3,2,1,5,4]=>2
[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[3,6,2,1,5,4]=>1
[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[6,1,3,2,5,4]=>0
[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[1,6,3,2,5,4]=>1
[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[3,2,6,1,5,4]=>0
[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[1,3,6,2,5,4]=>0
[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[6,3,1,2,5,4]=>1
[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[3,6,1,2,5,4]=>0
[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[6,1,3,2,5,4]=>0
[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[1,6,3,2,5,4]=>1
[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[3,1,6,2,5,4]=>0
[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[1,3,6,2,5,4]=>0
[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[6,2,1,3,5,4]=>1
[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[2,6,1,3,5,4]=>0
[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[6,1,2,3,5,4]=>0
[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[1,6,2,3,5,4]=>0
[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[2,1,6,3,5,4]=>0
[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[1,2,6,3,5,4]=>0
[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[3,2,1,6,5,4]=>2
[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[1,3,2,6,5,4]=>1
[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[3,1,2,6,5,4]=>1
[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[1,3,2,6,5,4]=>1
[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[2,1,3,6,5,4]=>1
[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[1,2,3,6,5,4]=>1
[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[4,3,2,1,6,5]=>2
[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[1,4,3,2,6,5]=>1
[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[4,1,3,2,6,5]=>0
[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[1,4,3,2,6,5]=>1
[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[2,1,4,3,6,5]=>0
[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[1,2,4,3,6,5]=>0
[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[4,3,1,2,6,5]=>1
[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[2,4,1,3,6,5]=>0
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[4,1,3,2,6,5]=>0
[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[1,4,3,2,6,5]=>1
[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[2,1,4,3,6,5]=>0
[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[1,2,4,3,6,5]=>0
[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[4,2,1,3,6,5]=>1
[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[2,4,1,3,6,5]=>0
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[4,1,2,3,6,5]=>0
[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[1,4,2,3,6,5]=>0
[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[2,1,4,3,6,5]=>0
[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[1,2,4,3,6,5]=>0
[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[3,2,1,4,6,5]=>1
[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[1,3,2,4,6,5]=>0
[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[3,1,2,4,6,5]=>0
[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[1,3,2,4,6,5]=>0
[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[2,1,3,4,6,5]=>0
[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[1,2,3,4,6,5]=>0
[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>3
[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[3,6,5,2,1,4]=>2
[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[6,3,5,2,1,4]=>1
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[3,6,5,2,1,4]=>2
[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[4,3,6,2,1,5]=>1
[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[1,4,6,3,2,5]=>1
[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[6,5,2,4,1,3]=>1
[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[3,6,2,5,1,4]=>0
[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>1
[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>2
[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[3,2,6,5,1,4]=>1
[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[1,3,6,5,2,4]=>1
[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[6,3,2,5,1,4]=>1
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[3,6,2,5,1,4]=>0
[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[6,1,3,5,2,4]=>0
[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[1,6,3,5,2,4]=>0
[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[3,2,6,5,1,4]=>1
[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[1,3,6,5,2,4]=>1
[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[4,3,2,6,1,5]=>1
[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[1,4,3,6,2,5]=>0
[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[4,1,3,6,2,5]=>0
[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[1,4,3,6,2,5]=>0
[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[2,1,4,6,3,5]=>0
[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>0
[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[6,5,4,1,2,3]=>2
[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[3,6,5,1,2,4]=>1
[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[6,3,5,1,2,4]=>0
[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[3,6,5,1,2,4]=>1
[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[4,3,6,1,2,5]=>0
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[2,4,6,1,3,5]=>0
[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[6,5,1,4,2,3]=>1
[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[3,6,1,5,2,4]=>0
[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[6,1,5,4,2,3]=>1
[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,6,5,4,2,3]=>2
[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[3,1,6,5,2,4]=>1
[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[1,3,6,5,2,4]=>1
[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[6,3,1,5,2,4]=>1
[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[3,6,1,5,2,4]=>0
[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[6,1,3,5,2,4]=>0
[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[1,6,3,5,2,4]=>0
[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[3,1,6,5,2,4]=>1
[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[1,3,6,5,2,4]=>1
[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[4,3,1,6,2,5]=>1
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[2,4,1,6,3,5]=>0
[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[4,1,3,6,2,5]=>0
[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[1,4,3,6,2,5]=>0
[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[2,1,4,6,3,5]=>0
[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>0
[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>2
[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[3,6,2,1,5,4]=>1
[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>0
[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>1
[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[3,2,6,1,5,4]=>0
[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[1,3,6,2,5,4]=>0
[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[6,5,1,2,4,3]=>1
[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[3,6,1,2,5,4]=>0
[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>0
[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[1,6,5,2,4,3]=>1
[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[3,1,6,2,5,4]=>0
[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[1,3,6,2,5,4]=>0
[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>2
[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>1
[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[6,1,2,5,4,3]=>1
[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[1,6,2,5,4,3]=>1
[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>2
[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[3,2,1,6,5,4]=>2
[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[1,3,2,6,5,4]=>1
[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[3,1,2,6,5,4]=>1
[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[1,3,2,6,5,4]=>1
[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[2,1,3,6,5,4]=>1
[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[1,2,3,6,5,4]=>1
[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[6,3,2,1,5,4]=>2
[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[3,6,2,1,5,4]=>1
[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[6,1,3,2,5,4]=>0
[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[1,6,3,2,5,4]=>1
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[3,2,6,1,5,4]=>0
[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[1,3,6,2,5,4]=>0
[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[6,3,1,2,5,4]=>1
[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[3,6,1,2,5,4]=>0
[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[6,1,3,2,5,4]=>0
[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[1,6,3,2,5,4]=>1
[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[3,1,6,2,5,4]=>0
[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[1,3,6,2,5,4]=>0
[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[6,2,1,3,5,4]=>1
[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[2,6,1,3,5,4]=>0
[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[6,1,2,3,5,4]=>0
[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[1,6,2,3,5,4]=>0
[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[2,1,6,3,5,4]=>0
[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[1,2,6,3,5,4]=>0
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[3,2,1,6,5,4]=>2
[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[1,3,2,6,5,4]=>1
[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[3,1,2,6,5,4]=>1
[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[1,3,2,6,5,4]=>1
[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[2,1,3,6,5,4]=>1
[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[1,2,3,6,5,4]=>1
[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[4,3,2,1,6,5]=>2
[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[1,4,3,2,6,5]=>1
[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[4,1,3,2,6,5]=>0
[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[1,4,3,2,6,5]=>1
[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[2,1,4,3,6,5]=>0
[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[1,2,4,3,6,5]=>0
[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[4,3,1,2,6,5]=>1
[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[2,4,1,3,6,5]=>0
[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[4,1,3,2,6,5]=>0
[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[1,4,3,2,6,5]=>1
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[2,1,4,3,6,5]=>0
[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[1,2,4,3,6,5]=>0
[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[4,2,1,3,6,5]=>1
[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[2,4,1,3,6,5]=>0
[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[4,1,2,3,6,5]=>0
[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[1,4,2,3,6,5]=>0
[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[2,1,4,3,6,5]=>0
[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[1,2,4,3,6,5]=>0
[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[3,2,1,4,6,5]=>1
[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[1,3,2,4,6,5]=>0
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[3,1,2,4,6,5]=>0
[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[1,3,2,4,6,5]=>0
[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[2,1,3,4,6,5]=>0
[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[1,2,3,4,6,5]=>0
[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>3
[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[4,6,3,2,1,5]=>2
[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>1
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>2
[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[4,3,6,2,1,5]=>1
[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[1,4,6,3,2,5]=>1
[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[6,5,1,3,2,4]=>1
[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[4,6,1,3,2,5]=>0
[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[6,1,5,3,2,4]=>1
[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[1,6,5,3,2,4]=>2
[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[4,1,6,3,2,5]=>1
[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[1,4,6,3,2,5]=>1
[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>1
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>0
[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[6,1,3,5,2,4]=>0
[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[1,6,3,5,2,4]=>0
[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>1
[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[1,3,6,5,2,4]=>1
[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[4,3,2,6,1,5]=>1
[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[1,4,3,6,2,5]=>0
[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[4,1,3,6,2,5]=>0
[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[1,4,3,6,2,5]=>0
[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[2,1,4,6,3,5]=>0
[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[1,2,4,6,3,5]=>0
[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[6,5,3,1,2,4]=>2
[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[4,6,3,1,2,5]=>1
[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[6,3,5,1,2,4]=>0
[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[3,6,5,1,2,4]=>1
[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[4,3,6,1,2,5]=>0
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[2,4,6,1,3,5]=>0
[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[6,5,1,3,2,4]=>1
[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[4,6,1,3,2,5]=>0
[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[6,1,5,3,2,4]=>1
[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[1,6,5,3,2,4]=>2
[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[4,1,6,3,2,5]=>1
[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[1,4,6,3,2,5]=>1
[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[6,3,1,5,2,4]=>1
[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[3,6,1,5,2,4]=>0
[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[6,1,3,5,2,4]=>0
[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[1,6,3,5,2,4]=>0
[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[3,1,6,5,2,4]=>1
[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[1,3,6,5,2,4]=>1
[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[4,3,1,6,2,5]=>1
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[2,4,1,6,3,5]=>0
[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[4,1,3,6,2,5]=>0
[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[1,4,3,6,2,5]=>0
[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[2,1,4,6,3,5]=>0
[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[1,2,4,6,3,5]=>0
[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[6,5,2,1,3,4]=>2
[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[4,6,2,1,3,5]=>1
[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[6,2,5,1,3,4]=>0
[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[2,6,5,1,3,4]=>1
[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[4,2,6,1,3,5]=>0
[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[2,4,6,1,3,5]=>0
[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[6,5,1,2,3,4]=>1
[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[4,6,1,2,3,5]=>0
[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[6,1,5,2,3,4]=>0
[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,6,5,2,3,4]=>1
[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[4,1,6,2,3,5]=>0
[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[1,4,6,2,3,5]=>0
[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[6,2,1,5,3,4]=>1
[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[2,6,1,5,3,4]=>0
[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[6,1,2,5,3,4]=>0
[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>0
[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[2,1,6,5,3,4]=>1
[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,2,6,5,3,4]=>1
[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[4,2,1,6,3,5]=>1
[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[2,4,1,6,3,5]=>0
[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[4,1,2,6,3,5]=>0
[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[1,4,2,6,3,5]=>0
[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[2,1,4,6,3,5]=>0
[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[1,2,4,6,3,5]=>0
[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[6,3,2,1,5,4]=>2
[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>1
[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[6,1,3,2,5,4]=>0
[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[1,6,3,2,5,4]=>1
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>0
[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[1,3,6,2,5,4]=>0
[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[6,3,1,2,5,4]=>1
[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[3,6,1,2,5,4]=>0
[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[6,1,3,2,5,4]=>0
[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[1,6,3,2,5,4]=>1
[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[3,1,6,2,5,4]=>0
[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>0
[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[6,2,1,3,5,4]=>1
[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[2,6,1,3,5,4]=>0
[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[6,1,2,3,5,4]=>0
[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>0
[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[2,1,6,3,5,4]=>0
[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>0
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[1,3,2,6,5,4]=>1
[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[3,1,2,6,5,4]=>1
[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>1
[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>1
[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>1
[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[4,3,2,1,6,5]=>2
[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[1,4,3,2,6,5]=>1
[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[4,1,3,2,6,5]=>0
[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[1,4,3,2,6,5]=>1
[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[2,1,4,3,6,5]=>0
[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[1,2,4,3,6,5]=>0
[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[4,3,1,2,6,5]=>1
[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[2,4,1,3,6,5]=>0
[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[4,1,3,2,6,5]=>0
[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[1,4,3,2,6,5]=>1
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[2,1,4,3,6,5]=>0
[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[1,2,4,3,6,5]=>0
[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[4,2,1,3,6,5]=>1
[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[2,4,1,3,6,5]=>0
[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[4,1,2,3,6,5]=>0
[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[1,4,2,3,6,5]=>0
[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[2,1,4,3,6,5]=>0
[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[1,2,4,3,6,5]=>0
[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[3,2,1,4,6,5]=>1
[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[1,3,2,4,6,5]=>0
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[3,1,2,4,6,5]=>0
[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[1,3,2,4,6,5]=>0
[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[2,1,3,4,6,5]=>0
[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[1,2,3,4,6,5]=>0
[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>3
[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>2
[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[6,1,4,3,2,5]=>1
[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[1,6,4,3,2,5]=>2
[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>1
[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[1,4,6,3,2,5]=>1
[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[6,4,1,3,2,5]=>1
[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[4,6,1,3,2,5]=>0
[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[6,1,4,3,2,5]=>1
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[1,6,4,3,2,5]=>2
[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[4,1,6,3,2,5]=>1
[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[1,4,6,3,2,5]=>1
[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[6,2,1,4,3,5]=>1
[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[2,6,1,4,3,5]=>0
[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[6,1,2,4,3,5]=>0
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[1,6,2,4,3,5]=>0
[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[2,1,6,4,3,5]=>1
[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[1,2,6,4,3,5]=>1
[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>1
[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[1,4,3,6,2,5]=>0
[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[4,1,3,6,2,5]=>0
[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[1,4,3,6,2,5]=>0
[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[2,1,4,6,3,5]=>0
[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[1,2,4,6,3,5]=>0
[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[6,4,3,1,2,5]=>2
[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[4,6,3,1,2,5]=>1
[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[6,2,4,1,3,5]=>0
[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[2,6,4,1,3,5]=>1
[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[4,3,6,1,2,5]=>0
[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[2,4,6,1,3,5]=>0
[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[6,4,1,3,2,5]=>1
[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[4,6,1,3,2,5]=>0
[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[6,1,4,3,2,5]=>1
[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[1,6,4,3,2,5]=>2
[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[4,1,6,3,2,5]=>1
[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[1,4,6,3,2,5]=>1
[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[6,2,1,4,3,5]=>1
[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[2,6,1,4,3,5]=>0
[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[6,1,2,4,3,5]=>0
[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[1,6,2,4,3,5]=>0
[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[2,1,6,4,3,5]=>1
[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[1,2,6,4,3,5]=>1
[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>1
[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[2,4,1,6,3,5]=>0
[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[4,1,3,6,2,5]=>0
[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[1,4,3,6,2,5]=>0
[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[2,1,4,6,3,5]=>0
[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[1,2,4,6,3,5]=>0
[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[6,4,2,1,3,5]=>2
[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[4,6,2,1,3,5]=>1
[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[6,2,4,1,3,5]=>0
[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[2,6,4,1,3,5]=>1
[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[4,2,6,1,3,5]=>0
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[2,4,6,1,3,5]=>0
[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[6,4,1,2,3,5]=>1
[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[4,6,1,2,3,5]=>0
[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[6,1,4,2,3,5]=>0
[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[1,6,4,2,3,5]=>1
[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[4,1,6,2,3,5]=>0
[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>0
[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[6,2,1,4,3,5]=>1
[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[2,6,1,4,3,5]=>0
[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[6,1,2,4,3,5]=>0
[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>0
[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[2,1,6,4,3,5]=>1
[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[1,2,6,4,3,5]=>1
[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[4,2,1,6,3,5]=>1
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>0
[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[4,1,2,6,3,5]=>0
[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>0
[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[2,1,4,6,3,5]=>0
[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>0
[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[6,3,2,1,4,5]=>2
[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[3,6,2,1,4,5]=>1
[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[6,1,3,2,4,5]=>0
[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[1,6,3,2,4,5]=>1
[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[3,2,6,1,4,5]=>0
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[1,3,6,2,4,5]=>0
[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[6,3,1,2,4,5]=>1
[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[3,6,1,2,4,5]=>0
[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[6,1,3,2,4,5]=>0
[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[1,6,3,2,4,5]=>1
[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[3,1,6,2,4,5]=>0
[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>0
[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[6,2,1,3,4,5]=>1
[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[2,6,1,3,4,5]=>0
[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>0
[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>0
[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[3,2,1,6,4,5]=>1
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[1,3,2,6,4,5]=>0
[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>0
[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>0
[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[1,4,3,2,6,5]=>1
[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[4,1,3,2,6,5]=>0
[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[1,4,3,2,6,5]=>1
[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[2,1,4,3,6,5]=>0
[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[1,2,4,3,6,5]=>0
[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[4,3,1,2,6,5]=>1
[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[2,4,1,3,6,5]=>0
[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[4,1,3,2,6,5]=>0
[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>1
[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[2,1,4,3,6,5]=>0
[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[1,2,4,3,6,5]=>0
[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[4,2,1,3,6,5]=>1
[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[2,4,1,3,6,5]=>0
[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>0
[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>0
[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>0
[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>1
[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[1,3,2,4,6,5]=>0
[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>0
[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>0
[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>3
[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[1,5,4,3,2,6]=>2
[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[5,1,4,3,2,6]=>1
[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[1,5,4,3,2,6]=>2
[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[2,1,5,4,3,6]=>1
[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[1,2,5,4,3,6]=>1
[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[5,4,1,3,2,6]=>1
[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[2,5,1,4,3,6]=>0
[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[5,1,4,3,2,6]=>1
[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[1,5,4,3,2,6]=>2
[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[2,1,5,4,3,6]=>1
[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[1,2,5,4,3,6]=>1
[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[5,2,1,4,3,6]=>1
[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[2,5,1,4,3,6]=>0
[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[5,1,2,4,3,6]=>0
[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[1,5,2,4,3,6]=>0
[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[2,1,5,4,3,6]=>1
[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[1,2,5,4,3,6]=>1
[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[3,2,1,5,4,6]=>1
[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[1,3,2,5,4,6]=>0
[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[3,1,2,5,4,6]=>0
[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[1,3,2,5,4,6]=>0
[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[2,1,3,5,4,6]=>0
[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[1,2,3,5,4,6]=>0
[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[5,4,3,1,2,6]=>2
[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[2,5,4,1,3,6]=>1
[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[5,2,4,1,3,6]=>0
[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[2,5,4,1,3,6]=>1
[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[3,2,5,1,4,6]=>0
[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>0
[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[5,4,1,3,2,6]=>1
[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[2,5,1,4,3,6]=>0
[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[5,1,4,3,2,6]=>1
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>2
[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[2,1,5,4,3,6]=>1
[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[1,2,5,4,3,6]=>1
[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[5,2,1,4,3,6]=>1
[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[2,5,1,4,3,6]=>0
[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[5,1,2,4,3,6]=>0
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[1,5,2,4,3,6]=>0
[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[2,1,5,4,3,6]=>1
[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[1,2,5,4,3,6]=>1
[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[3,2,1,5,4,6]=>1
[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[1,3,2,5,4,6]=>0
[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[3,1,2,5,4,6]=>0
[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[1,3,2,5,4,6]=>0
[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[2,1,3,5,4,6]=>0
[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[1,2,3,5,4,6]=>0
[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[5,4,2,1,3,6]=>2
[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[3,5,2,1,4,6]=>1
[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[5,2,4,1,3,6]=>0
[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[2,5,4,1,3,6]=>1
[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[3,2,5,1,4,6]=>0
[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[1,3,5,2,4,6]=>0
[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[5,4,1,2,3,6]=>1
[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[3,5,1,2,4,6]=>0
[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[5,1,4,2,3,6]=>0
[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[1,5,4,2,3,6]=>1
[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[3,1,5,2,4,6]=>0
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[1,3,5,2,4,6]=>0
[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[5,2,1,4,3,6]=>1
[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[2,5,1,4,3,6]=>0
[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[5,1,2,4,3,6]=>0
[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>0
[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>1
[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>1
[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[3,2,1,5,4,6]=>1
[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[1,3,2,5,4,6]=>0
[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[3,1,2,5,4,6]=>0
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[1,3,2,5,4,6]=>0
[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[2,1,3,5,4,6]=>0
[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[1,2,3,5,4,6]=>0
[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[5,3,2,1,4,6]=>2
[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[3,5,2,1,4,6]=>1
[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[5,1,3,2,4,6]=>0
[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[1,5,3,2,4,6]=>1
[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[3,2,5,1,4,6]=>0
[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[1,3,5,2,4,6]=>0
[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[5,3,1,2,4,6]=>1
[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[3,5,1,2,4,6]=>0
[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[5,1,3,2,4,6]=>0
[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[1,5,3,2,4,6]=>1
[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[3,1,5,2,4,6]=>0
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>0
[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[5,2,1,3,4,6]=>1
[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[2,5,1,3,4,6]=>0
[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>0
[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>0
[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>1
[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[1,3,2,5,4,6]=>0
[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>0
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0
[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>0
[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>2
[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[1,4,3,2,5,6]=>1
[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[4,1,3,2,5,6]=>0
[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[1,4,3,2,5,6]=>1
[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[2,1,4,3,5,6]=>0
[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[1,2,4,3,5,6]=>0
[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[4,3,1,2,5,6]=>1
[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[2,4,1,3,5,6]=>0
[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[4,1,3,2,5,6]=>0
[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>1
[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[2,1,4,3,5,6]=>0
[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[1,2,4,3,5,6]=>0
[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[4,2,1,3,5,6]=>1
[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[2,4,1,3,5,6]=>0
[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>0
[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>0
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>1
[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[1,3,2,4,5,6]=>0
[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>0
[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>0
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>5
[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>4
[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[1,7,6,5,4,3,2]=>4
[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[2,1,7,6,5,4,3]=>3
[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[1,2,7,6,5,4,3]=>3
[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[1,7,6,5,4,3,2]=>4
[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[2,1,7,6,5,4,3]=>3
[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[1,2,7,6,5,4,3]=>3
[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[2,1,7,6,5,4,3]=>3
[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[1,2,7,6,5,4,3]=>3
[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[1,3,2,7,6,5,4]=>2
[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[1,3,2,7,6,5,4]=>2
[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>2
[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[1,3,7,2,6,5,4]=>1
[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[1,7,6,5,4,3,2]=>4
[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[2,1,7,6,5,4,3]=>3
[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[1,2,7,6,5,4,3]=>3
[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[2,1,7,6,5,4,3]=>3
[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[1,2,7,6,5,4,3]=>3
[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[1,3,2,7,6,5,4]=>2
[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[1,3,2,7,6,5,4]=>2
[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[1,2,3,7,6,5,4]=>2
[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[1,3,7,2,6,5,4]=>1
[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[1,3,7,2,6,5,4]=>1
[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[2,1,7,6,5,4,3]=>3
[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[1,2,7,6,5,4,3]=>3
[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[1,3,2,7,6,5,4]=>2
[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[1,3,2,7,6,5,4]=>2
[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[1,2,3,7,6,5,4]=>2
[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[1,3,7,2,6,5,4]=>1
[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[1,3,7,2,6,5,4]=>1
[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[1,2,7,3,6,5,4]=>1
[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[1,3,2,7,6,5,4]=>2
[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[1,3,2,7,6,5,4]=>2
[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[1,2,3,7,6,5,4]=>2
[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[1,4,3,2,7,6,5]=>2
[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[1,4,3,2,7,6,5]=>2
[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>[1,2,4,3,7,6,5]=>1
[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[1,4,3,2,7,6,5]=>2
[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[1,2,4,3,7,6,5]=>1
[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[1,4,2,3,7,6,5]=>1
[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[1,2,4,3,7,6,5]=>1
[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[1,3,2,4,7,6,5]=>1
[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[1,3,2,4,7,6,5]=>1
[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[1,2,3,4,7,6,5]=>1
[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[1,3,7,6,2,5,4]=>1
[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[1,3,7,6,2,5,4]=>1
[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[1,3,7,6,2,5,4]=>1
[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[1,4,3,7,2,6,5]=>0
[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[1,4,3,7,2,6,5]=>0
[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[1,2,4,7,3,6,5]=>0
[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[1,3,7,2,6,5,4]=>1
[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[1,7,6,5,4,3,2]=>4
[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[2,1,7,6,5,4,3]=>3
[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[1,2,7,6,5,4,3]=>3
[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[2,1,7,6,5,4,3]=>3
[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[1,2,7,6,5,4,3]=>3
[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[1,3,2,7,6,5,4]=>2
[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[1,3,2,7,6,5,4]=>2
[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[1,2,3,7,6,5,4]=>2
[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[1,3,7,2,6,5,4]=>1
[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[1,3,7,2,6,5,4]=>1
[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[2,1,7,6,5,4,3]=>3
[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[1,2,7,6,5,4,3]=>3
[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[1,3,2,7,6,5,4]=>2
[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[1,3,2,7,6,5,4]=>2
[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[1,2,3,7,6,5,4]=>2
[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[1,3,7,2,6,5,4]=>1
[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[1,3,7,2,6,5,4]=>1
[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[1,2,7,3,6,5,4]=>1
[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[1,3,2,7,6,5,4]=>2
[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[1,3,2,7,6,5,4]=>2
[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[1,2,3,7,6,5,4]=>2
[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[1,4,3,2,7,6,5]=>2
[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[1,4,3,2,7,6,5]=>2
[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[1,2,4,3,7,6,5]=>1
[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[1,4,3,2,7,6,5]=>2
[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[1,2,4,3,7,6,5]=>1
[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[1,4,2,3,7,6,5]=>1
[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>[1,2,4,3,7,6,5]=>1
[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[1,3,2,4,7,6,5]=>1
[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[1,3,2,4,7,6,5]=>1
[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[1,2,3,4,7,6,5]=>1
[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[1,3,7,6,2,5,4]=>1
[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[1,3,7,6,2,5,4]=>1
[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[1,4,3,7,2,6,5]=>0
[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[1,4,3,7,2,6,5]=>0
[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[1,2,4,7,3,6,5]=>0
[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[1,3,7,6,2,5,4]=>1
[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[1,3,7,6,2,5,4]=>1
[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[1,4,3,7,2,6,5]=>0
[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[1,2,4,7,3,6,5]=>0
[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[1,3,7,2,6,5,4]=>1
[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[1,3,7,2,6,5,4]=>1
[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[2,1,7,6,5,4,3]=>3
[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[1,2,7,6,5,4,3]=>3
[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[1,3,2,7,6,5,4]=>2
[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[1,3,2,7,6,5,4]=>2
[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[1,2,3,7,6,5,4]=>2
[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[1,3,7,2,6,5,4]=>1
[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[1,3,7,2,6,5,4]=>1
[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[1,2,7,3,6,5,4]=>1
[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[1,3,2,7,6,5,4]=>2
[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[1,3,2,7,6,5,4]=>2
[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[1,2,3,7,6,5,4]=>2
[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[1,4,3,2,7,6,5]=>2
[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[1,4,3,2,7,6,5]=>2
[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[1,2,4,3,7,6,5]=>1
[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[1,4,3,2,7,6,5]=>2
[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[1,2,4,3,7,6,5]=>1
[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[1,4,2,3,7,6,5]=>1
[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>[1,2,4,3,7,6,5]=>1
[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[1,3,2,4,7,6,5]=>1
[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[1,3,2,4,7,6,5]=>1
[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[1,2,3,4,7,6,5]=>1
[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[1,3,7,6,2,5,4]=>1
[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[1,4,3,7,2,6,5]=>0
[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[1,4,3,7,2,6,5]=>0
[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[1,2,4,7,3,6,5]=>0
[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[1,3,7,6,2,5,4]=>1
[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[1,4,3,7,2,6,5]=>0
[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[1,2,4,7,3,6,5]=>0
[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[1,2,7,6,3,5,4]=>1
[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[1,4,2,7,3,6,5]=>0
[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[1,2,4,7,3,6,5]=>0
[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[1,3,7,2,6,5,4]=>1
[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[1,3,7,2,6,5,4]=>1
[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[1,2,7,3,6,5,4]=>1
[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[1,3,2,7,6,5,4]=>2
[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[1,3,2,7,6,5,4]=>2
[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[1,2,3,7,6,5,4]=>2
[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[1,4,3,2,7,6,5]=>2
[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[1,4,3,2,7,6,5]=>2
[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[1,2,4,3,7,6,5]=>1
[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[1,4,3,2,7,6,5]=>2
[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[1,2,4,3,7,6,5]=>1
[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[1,4,2,3,7,6,5]=>1
[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[1,2,4,3,7,6,5]=>1
[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[1,3,2,4,7,6,5]=>1
[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[1,3,2,4,7,6,5]=>1
[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[1,2,3,4,7,6,5]=>1
[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[1,2,7,4,3,6,5]=>1
[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[1,4,3,7,2,6,5]=>0
[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[1,4,3,7,2,6,5]=>0
[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[1,2,4,7,3,6,5]=>0
[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[1,2,7,4,3,6,5]=>1
[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[1,4,3,7,2,6,5]=>0
[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[1,2,4,7,3,6,5]=>0
[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[1,2,7,4,3,6,5]=>1
[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[1,4,2,7,3,6,5]=>0
[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[1,2,4,7,3,6,5]=>0
[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[1,3,7,2,4,6,5]=>0
[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[1,3,7,2,4,6,5]=>0
[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[1,2,7,3,4,6,5]=>0
[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[1,3,2,7,4,6,5]=>0
[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[1,3,2,7,4,6,5]=>0
[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[1,2,3,7,4,6,5]=>0
[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[1,4,3,2,7,6,5]=>2
[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[1,4,3,2,7,6,5]=>2
[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[1,2,4,3,7,6,5]=>1
[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[1,4,3,2,7,6,5]=>2
[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[1,2,4,3,7,6,5]=>1
[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[1,4,2,3,7,6,5]=>1
[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[1,2,4,3,7,6,5]=>1
[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[1,3,2,4,7,6,5]=>1
[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[1,3,2,4,7,6,5]=>1
[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[1,2,3,4,7,6,5]=>1
[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[5,4,3,2,1,7,6]=>3
[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[1,2,5,4,3,7,6]=>1
[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[1,2,5,4,3,7,6]=>1
[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[1,2,5,4,3,7,6]=>1
[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[1,3,2,5,4,7,6]=>0
[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>[1,3,2,5,4,7,6]=>0
[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[1,2,3,5,4,7,6]=>0
[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[1,3,5,2,4,7,6]=>0
[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[1,2,5,4,3,7,6]=>1
[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[1,2,5,4,3,7,6]=>1
[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[1,3,2,5,4,7,6]=>0
[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[1,3,2,5,4,7,6]=>0
[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[1,2,3,5,4,7,6]=>0
[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[1,3,5,2,4,7,6]=>0
[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[1,3,5,2,4,7,6]=>0
[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[1,2,5,4,3,7,6]=>1
[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[1,3,2,5,4,7,6]=>0
[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[1,3,2,5,4,7,6]=>0
[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[1,2,3,5,4,7,6]=>0
[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[1,3,5,2,4,7,6]=>0
[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[1,3,5,2,4,7,6]=>0
[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[5,1,2,3,4,7,6]=>0
[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[1,5,2,3,4,7,6]=>0
[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[1,2,5,3,4,7,6]=>0
[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[1,3,2,5,4,7,6]=>0
[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[1,3,2,5,4,7,6]=>0
[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[1,2,3,5,4,7,6]=>0
[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>[1,4,3,2,5,7,6]=>1
[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>[1,4,3,2,5,7,6]=>1
[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[1,2,4,3,5,7,6]=>0
[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[1,4,3,2,5,7,6]=>1
[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[1,2,4,3,5,7,6]=>0
[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[4,1,2,3,5,7,6]=>0
[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[1,4,2,3,5,7,6]=>0
[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[1,2,4,3,5,7,6]=>0
[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[1,3,2,4,5,7,6]=>0
[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[3,1,2,4,5,7,6]=>0
[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[1,3,2,4,5,7,6]=>0
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,7,6]=>0
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>4
[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[1,3,7,6,5,2,4]=>2
[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[1,3,7,6,5,2,4]=>2
[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[1,3,7,6,5,2,4]=>2
[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[1,4,3,7,6,2,5]=>1
[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[1,4,3,7,6,2,5]=>1
[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[1,2,4,7,6,3,5]=>1
[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[1,3,7,6,5,2,4]=>2
[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[1,3,7,6,5,2,4]=>2
[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[1,4,3,7,6,2,5]=>1
[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[1,4,3,7,6,2,5]=>1
[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[1,2,4,7,6,3,5]=>1
[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[1,3,7,6,5,2,4]=>2
[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[1,4,3,7,6,2,5]=>1
[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[1,4,3,7,6,2,5]=>1
[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[1,2,4,7,6,3,5]=>1
[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[1,2,7,4,6,3,5]=>0
[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[1,4,3,7,6,2,5]=>1
[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[1,4,3,7,6,2,5]=>1
[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[1,2,4,7,6,3,5]=>1
[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[1,2,5,4,7,3,6]=>0
[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[1,2,5,4,7,3,6]=>0
[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[1,2,5,4,7,3,6]=>0
[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[1,3,2,5,7,4,6]=>0
[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[1,3,2,5,7,4,6]=>0
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[1,2,3,5,7,4,6]=>0
[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[1,3,7,6,2,5,4]=>1
[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[1,3,7,6,2,5,4]=>1
[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[1,3,7,6,2,5,4]=>1
[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[1,4,3,7,2,6,5]=>0
[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[1,4,3,7,2,6,5]=>0
[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[1,2,4,7,3,6,5]=>0
[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[1,3,7,2,6,5,4]=>1
[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>4
[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[2,1,7,6,5,4,3]=>3
[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[1,2,7,6,5,4,3]=>3
[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[2,1,7,6,5,4,3]=>3
[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[1,2,7,6,5,4,3]=>3
[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[1,3,2,7,6,5,4]=>2
[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[1,3,2,7,6,5,4]=>2
[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[1,2,3,7,6,5,4]=>2
[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[1,3,7,2,6,5,4]=>1
[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[1,3,7,2,6,5,4]=>1
[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[2,1,7,6,5,4,3]=>3
[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[1,2,7,6,5,4,3]=>3
[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[1,3,2,7,6,5,4]=>2
[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[1,3,2,7,6,5,4]=>2
[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[1,2,3,7,6,5,4]=>2
[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[1,3,7,2,6,5,4]=>1
[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[1,3,7,2,6,5,4]=>1
[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[1,2,7,3,6,5,4]=>1
[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[1,3,2,7,6,5,4]=>2
[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[1,3,2,7,6,5,4]=>2
[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[1,2,3,7,6,5,4]=>2
[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[1,4,3,2,7,6,5]=>2
[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[1,4,3,2,7,6,5]=>2
[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[1,2,4,3,7,6,5]=>1
[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[1,4,3,2,7,6,5]=>2
[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[1,2,4,3,7,6,5]=>1
[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[1,4,2,3,7,6,5]=>1
[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[1,2,4,3,7,6,5]=>1
[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[1,3,2,4,7,6,5]=>1
[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]=>[1,3,2,4,7,6,5]=>1
[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[1,2,3,4,7,6,5]=>1
[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[1,3,7,6,2,5,4]=>1
[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[1,3,7,6,2,5,4]=>1
[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[1,4,3,7,2,6,5]=>0
[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[1,4,3,7,2,6,5]=>0
[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[1,2,4,7,3,6,5]=>0
[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[1,3,7,6,2,5,4]=>1
[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[1,3,7,6,2,5,4]=>1
[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[1,4,3,7,2,6,5]=>0
[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[1,2,4,7,3,6,5]=>0
[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[1,3,7,2,6,5,4]=>1
[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[1,3,7,2,6,5,4]=>1
[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[2,1,7,6,5,4,3]=>3
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[1,2,7,6,5,4,3]=>3
[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[1,3,2,7,6,5,4]=>2
[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[1,3,2,7,6,5,4]=>2
[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[1,2,3,7,6,5,4]=>2
[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[1,3,7,2,6,5,4]=>1
[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[1,3,7,2,6,5,4]=>1
[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[1,2,7,3,6,5,4]=>1
[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[1,3,2,7,6,5,4]=>2
[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[1,3,2,7,6,5,4]=>2
[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[1,2,3,7,6,5,4]=>2
[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[1,4,3,2,7,6,5]=>2
[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[1,4,3,2,7,6,5]=>2
[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[1,2,4,3,7,6,5]=>1
[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[1,4,3,2,7,6,5]=>2
[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[1,2,4,3,7,6,5]=>1
[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[1,4,2,3,7,6,5]=>1
[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[1,2,4,3,7,6,5]=>1
[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[1,3,2,4,7,6,5]=>1
[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>[1,3,2,4,7,6,5]=>1
[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[1,2,3,4,7,6,5]=>1
[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[1,3,7,6,2,5,4]=>1
[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[1,4,3,7,2,6,5]=>0
[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[1,4,3,7,2,6,5]=>0
[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[1,2,4,7,3,6,5]=>0
[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[1,3,7,6,2,5,4]=>1
[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[1,4,3,7,2,6,5]=>0
[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[1,2,4,7,3,6,5]=>0
[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[1,2,7,6,3,5,4]=>1
[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[1,4,2,7,3,6,5]=>0
[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[1,2,4,7,3,6,5]=>0
[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[1,3,7,2,6,5,4]=>1
[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[1,3,7,2,6,5,4]=>1
[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[1,2,7,3,6,5,4]=>1
[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[1,3,2,7,6,5,4]=>2
[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[1,3,2,7,6,5,4]=>2
[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[1,2,3,7,6,5,4]=>2
[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[1,4,3,2,7,6,5]=>2
[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[1,4,3,2,7,6,5]=>2
[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[1,2,4,3,7,6,5]=>1
[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[1,4,3,2,7,6,5]=>2
[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[1,2,4,3,7,6,5]=>1
[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[1,4,2,3,7,6,5]=>1
[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[1,2,4,3,7,6,5]=>1
[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[1,3,2,4,7,6,5]=>1
[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[1,3,2,4,7,6,5]=>1
[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[1,2,3,4,7,6,5]=>1
[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[1,2,7,4,3,6,5]=>1
[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[1,4,3,7,2,6,5]=>0
[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[1,4,3,7,2,6,5]=>0
[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[1,2,4,7,3,6,5]=>0
[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[1,2,7,4,3,6,5]=>1
[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[1,4,3,7,2,6,5]=>0
[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[1,2,4,7,3,6,5]=>0
[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[1,2,7,4,3,6,5]=>1
[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[1,4,2,7,3,6,5]=>0
[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[1,2,4,7,3,6,5]=>0
[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[1,3,7,2,4,6,5]=>0
[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[1,3,7,2,4,6,5]=>0
[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[1,2,7,3,4,6,5]=>0
[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[1,3,2,7,4,6,5]=>0
[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[1,3,2,7,4,6,5]=>0
[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[1,2,3,7,4,6,5]=>0
[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[1,4,3,2,7,6,5]=>2
[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[1,4,3,2,7,6,5]=>2
[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[1,2,4,3,7,6,5]=>1
[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>[1,4,3,2,7,6,5]=>2
[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[1,2,4,3,7,6,5]=>1
[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>[1,4,2,3,7,6,5]=>1
[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[1,2,4,3,7,6,5]=>1
[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[1,3,2,4,7,6,5]=>1
[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>[1,3,2,4,7,6,5]=>1
[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[1,2,3,4,7,6,5]=>1
[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[5,4,3,2,1,7,6]=>3
[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[1,2,5,4,3,7,6]=>1
[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[1,2,5,4,3,7,6]=>1
[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[1,2,5,4,3,7,6]=>1
[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[1,3,2,5,4,7,6]=>0
[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[1,3,2,5,4,7,6]=>0
[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[1,2,3,5,4,7,6]=>0
[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[1,3,5,2,4,7,6]=>0
[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[1,2,5,4,3,7,6]=>1
[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[1,2,5,4,3,7,6]=>1
[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[1,3,2,5,4,7,6]=>0
[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>[1,3,2,5,4,7,6]=>0
[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[1,2,3,5,4,7,6]=>0
[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[1,3,5,2,4,7,6]=>0
[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[1,3,5,2,4,7,6]=>0
[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[1,2,5,4,3,7,6]=>1
[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[1,3,2,5,4,7,6]=>0
[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>[1,3,2,5,4,7,6]=>0
[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>[1,2,3,5,4,7,6]=>0
[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[1,3,5,2,4,7,6]=>0
[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[1,3,5,2,4,7,6]=>0
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[5,1,2,3,4,7,6]=>0
[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[1,5,2,3,4,7,6]=>0
[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[1,2,5,3,4,7,6]=>0
[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[1,3,2,5,4,7,6]=>0
[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>[1,3,2,5,4,7,6]=>0
[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>[1,2,3,5,4,7,6]=>0
[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[1,4,3,2,5,7,6]=>1
[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[1,4,3,2,5,7,6]=>1
[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[1,2,4,3,5,7,6]=>0
[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[1,4,3,2,5,7,6]=>1
[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[1,2,4,3,5,7,6]=>0
[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[4,1,2,3,5,7,6]=>0
[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[1,4,2,3,5,7,6]=>0
[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>[1,2,4,3,5,7,6]=>0
[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[1,3,2,4,5,7,6]=>0
[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[3,1,2,4,5,7,6]=>0
[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[1,3,2,4,5,7,6]=>0
[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[1,2,3,4,5,7,6]=>0
[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[1,2,5,7,4,3,6]=>1
[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[1,3,7,6,5,2,4]=>2
[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[1,3,7,6,5,2,4]=>2
[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[1,4,3,7,6,2,5]=>1
[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[1,4,3,7,6,2,5]=>1
[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[1,2,4,7,6,3,5]=>1
[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[1,3,7,6,5,2,4]=>2
[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[1,4,3,7,6,2,5]=>1
[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[1,4,3,7,6,2,5]=>1
[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[1,2,4,7,6,3,5]=>1
[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[1,2,7,4,6,3,5]=>0
[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[1,4,3,7,6,2,5]=>1
[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[1,4,3,7,6,2,5]=>1
[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[1,2,4,7,6,3,5]=>1
[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[1,2,5,4,7,3,6]=>0
[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[1,2,5,4,7,3,6]=>0
[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[1,2,5,4,7,3,6]=>0
[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[1,3,2,5,7,4,6]=>0
[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[1,3,2,5,7,4,6]=>0
[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[1,2,3,5,7,4,6]=>0
[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3]=>3
[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[1,3,5,7,2,4,6]=>0
[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[1,3,7,6,5,2,4]=>2
[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[1,3,7,6,5,2,4]=>2
[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[1,4,3,7,6,2,5]=>1
[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[1,2,4,7,6,3,5]=>1
[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[1,3,7,6,5,2,4]=>2
[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[1,4,3,7,6,2,5]=>1
[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[1,2,4,7,6,3,5]=>1
[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[1,2,7,4,6,3,5]=>0
[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[1,4,3,7,6,2,5]=>1
[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[1,2,4,7,6,3,5]=>1
[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[1,3,5,2,7,4,6]=>0
[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[1,2,5,4,7,3,6]=>0
[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[1,2,5,4,7,3,6]=>0
[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[1,3,2,5,7,4,6]=>0
[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>[1,3,2,5,7,4,6]=>0
[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[1,2,3,5,7,4,6]=>0
[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[1,3,7,6,2,5,4]=>1
[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[1,3,7,6,2,5,4]=>1
[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[1,4,3,7,2,6,5]=>0
[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[1,4,3,7,2,6,5]=>0
[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[1,2,4,7,3,6,5]=>0
[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[1,3,7,6,2,5,4]=>1
[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[1,3,7,6,2,5,4]=>1
[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[1,4,3,7,2,6,5]=>0
[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[1,2,4,7,3,6,5]=>0
[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[1,3,7,2,6,5,4]=>1
[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[1,3,7,2,6,5,4]=>1
[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>3
[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>3
[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[1,3,2,7,6,5,4]=>2
[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[1,3,2,7,6,5,4]=>2
[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[1,2,3,7,6,5,4]=>2
[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[1,3,7,2,6,5,4]=>1
[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[1,3,7,2,6,5,4]=>1
[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[1,2,7,3,6,5,4]=>1
[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[1,3,2,7,6,5,4]=>2
[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[1,3,2,7,6,5,4]=>2
[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[1,2,3,7,6,5,4]=>2
[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[1,4,3,2,7,6,5]=>2
[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[1,4,3,2,7,6,5]=>2
[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[1,2,4,3,7,6,5]=>1
[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[1,4,3,2,7,6,5]=>2
[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[1,2,4,3,7,6,5]=>1
[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[1,4,2,3,7,6,5]=>1
[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[1,2,4,3,7,6,5]=>1
[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[1,3,2,4,7,6,5]=>1
[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>[1,3,2,4,7,6,5]=>1
[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[1,2,3,4,7,6,5]=>1
[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[1,3,7,6,2,5,4]=>1
[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[1,4,3,7,2,6,5]=>0
[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[1,4,3,7,2,6,5]=>0
[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[1,2,4,7,3,6,5]=>0
[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[1,3,7,6,2,5,4]=>1
[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[1,4,3,7,2,6,5]=>0
[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[1,2,4,7,3,6,5]=>0
[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[1,2,7,6,3,5,4]=>1
[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[1,4,2,7,3,6,5]=>0
[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[1,2,4,7,3,6,5]=>0
[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[1,3,7,2,6,5,4]=>1
[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[1,3,7,2,6,5,4]=>1
[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[1,2,7,3,6,5,4]=>1
[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[1,3,2,7,6,5,4]=>2
[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[1,3,2,7,6,5,4]=>2
[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[1,2,3,7,6,5,4]=>2
[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[1,4,3,2,7,6,5]=>2
[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[1,4,3,2,7,6,5]=>2
[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[1,2,4,3,7,6,5]=>1
[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[1,4,3,2,7,6,5]=>2
[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[1,2,4,3,7,6,5]=>1
[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[1,4,2,3,7,6,5]=>1
[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[1,2,4,3,7,6,5]=>1
[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[1,3,2,4,7,6,5]=>1
[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[1,3,2,4,7,6,5]=>1
[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[1,2,3,4,7,6,5]=>1
[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[1,2,7,4,3,6,5]=>1
[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[1,4,3,7,2,6,5]=>0
[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[1,4,3,7,2,6,5]=>0
[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[1,2,4,7,3,6,5]=>0
[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[1,2,7,4,3,6,5]=>1
[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[1,4,3,7,2,6,5]=>0
[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[1,2,4,7,3,6,5]=>0
[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[1,2,7,4,3,6,5]=>1
[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[1,4,2,7,3,6,5]=>0
[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[1,2,4,7,3,6,5]=>0
[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[1,3,7,2,4,6,5]=>0
[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[1,3,7,2,4,6,5]=>0
[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[1,2,7,3,4,6,5]=>0
[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[1,3,2,7,4,6,5]=>0
[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[1,3,2,7,4,6,5]=>0
[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[1,2,3,7,4,6,5]=>0
[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[1,4,3,2,7,6,5]=>2
[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[1,4,3,2,7,6,5]=>2
[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[1,2,4,3,7,6,5]=>1
[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>[1,4,3,2,7,6,5]=>2
[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[1,2,4,3,7,6,5]=>1
[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>[1,4,2,3,7,6,5]=>1
[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[1,2,4,3,7,6,5]=>1
[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[1,3,2,4,7,6,5]=>1
[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>[1,3,2,4,7,6,5]=>1
[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[1,2,3,4,7,6,5]=>1
[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[5,4,3,2,1,7,6]=>3
[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[1,2,5,4,3,7,6]=>1
[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[1,2,5,4,3,7,6]=>1
[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[1,2,5,4,3,7,6]=>1
[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[1,3,2,5,4,7,6]=>0
[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[1,3,2,5,4,7,6]=>0
[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[1,2,3,5,4,7,6]=>0
[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[1,3,5,2,4,7,6]=>0
[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[1,2,5,4,3,7,6]=>1
[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[1,2,5,4,3,7,6]=>1
[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[1,3,2,5,4,7,6]=>0
[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>[1,3,2,5,4,7,6]=>0
[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[1,2,3,5,4,7,6]=>0
[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[1,3,5,2,4,7,6]=>0
[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[1,3,5,2,4,7,6]=>0
[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[1,2,5,4,3,7,6]=>1
[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[1,3,2,5,4,7,6]=>0
[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>[1,3,2,5,4,7,6]=>0
[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[1,2,3,5,4,7,6]=>0
[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[1,3,5,2,4,7,6]=>0
[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[1,3,5,2,4,7,6]=>0
[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[5,1,2,3,4,7,6]=>0
[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[1,5,2,3,4,7,6]=>0
[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[1,2,5,3,4,7,6]=>0
[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[1,3,2,5,4,7,6]=>0
[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]=>[1,3,2,5,4,7,6]=>0
[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]=>[1,2,3,5,4,7,6]=>0
[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[1,4,3,2,5,7,6]=>1
[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[1,4,3,2,5,7,6]=>1
[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[1,2,4,3,5,7,6]=>0
[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[1,4,3,2,5,7,6]=>1
[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[1,2,4,3,5,7,6]=>0
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[4,1,2,3,5,7,6]=>0
[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[1,4,2,3,5,7,6]=>0
[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[1,2,4,3,5,7,6]=>0
[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[1,3,2,4,5,7,6]=>0
[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[3,1,2,4,5,7,6]=>0
[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[1,3,2,4,5,7,6]=>0
[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[1,2,3,4,5,7,6]=>0
[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[1,2,5,7,4,3,6]=>1
[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[1,2,5,7,4,3,6]=>1
[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[1,3,7,6,5,2,4]=>2
[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[1,4,3,7,6,2,5]=>1
[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[1,4,3,7,6,2,5]=>1
[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[1,2,4,7,6,3,5]=>1
[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[1,2,7,4,6,3,5]=>0
[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[1,4,3,7,6,2,5]=>1
[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[1,4,3,7,6,2,5]=>1
[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[1,2,4,7,6,3,5]=>1
[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[1,2,5,4,7,3,6]=>0
[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[1,2,5,4,7,3,6]=>0
[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[1,2,5,4,7,3,6]=>0
[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>0
[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[1,3,2,5,7,4,6]=>0
[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[1,2,3,5,7,4,6]=>0
[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[1,3,5,7,2,4,6]=>0
[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[1,2,5,7,4,3,6]=>1
[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[1,3,7,6,5,2,4]=>2
[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[1,4,3,7,6,2,5]=>1
[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[1,2,4,7,6,3,5]=>1
[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[1,2,7,4,6,3,5]=>0
[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[1,4,3,7,6,2,5]=>1
[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[1,2,4,7,6,3,5]=>1
[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[1,3,5,2,7,4,6]=>0
[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[1,2,5,4,7,3,6]=>0
[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[1,2,5,4,7,3,6]=>0
[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>0
[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>[1,3,2,5,7,4,6]=>0
[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>[1,2,3,5,7,4,6]=>0
[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[1,3,5,7,2,4,6]=>0
[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>2
[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[1,3,5,7,2,4,6]=>0
[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[1,2,7,6,5,3,4]=>2
[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[1,4,2,7,6,3,5]=>1
[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[1,2,4,7,6,3,5]=>1
[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[1,2,7,4,6,3,5]=>0
[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[1,4,2,7,6,3,5]=>1
[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[1,2,4,7,6,3,5]=>1
[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[1,3,5,2,7,4,6]=>0
[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[1,3,5,2,7,4,6]=>0
[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[1,2,5,4,7,3,6]=>0
[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[1,3,2,5,7,4,6]=>0
[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>[1,3,2,5,7,4,6]=>0
[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>0
[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[1,3,7,6,2,5,4]=>1
[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[1,4,3,7,2,6,5]=>0
[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[1,4,3,7,2,6,5]=>0
[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[1,2,4,7,3,6,5]=>0
[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[1,3,7,6,2,5,4]=>1
[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[1,4,3,7,2,6,5]=>0
[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[1,2,4,7,3,6,5]=>0
[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[1,2,7,6,3,5,4]=>1
[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[1,4,2,7,3,6,5]=>0
[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[1,2,4,7,3,6,5]=>0
[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[1,3,7,2,6,5,4]=>1
[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[1,3,7,2,6,5,4]=>1
[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[1,2,7,3,6,5,4]=>1
[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[1,3,2,7,6,5,4]=>2
[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>2
[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>2
[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[1,4,3,2,7,6,5]=>2
[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[1,4,3,2,7,6,5]=>2
[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[1,2,4,3,7,6,5]=>1
[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[1,4,3,2,7,6,5]=>2
[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[1,2,4,3,7,6,5]=>1
[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[1,4,2,3,7,6,5]=>1
[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[1,2,4,3,7,6,5]=>1
[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[1,3,2,4,7,6,5]=>1
[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[1,3,2,4,7,6,5]=>1
[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[1,2,3,4,7,6,5]=>1
[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[1,2,7,4,3,6,5]=>1
[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[1,4,3,7,2,6,5]=>0
[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[1,4,3,7,2,6,5]=>0
[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[1,2,4,7,3,6,5]=>0
[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[1,2,7,4,3,6,5]=>1
[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[1,4,3,7,2,6,5]=>0
[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[1,2,4,7,3,6,5]=>0
[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[1,2,7,4,3,6,5]=>1
[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[1,4,2,7,3,6,5]=>0
[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[1,2,4,7,3,6,5]=>0
[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[1,3,7,2,4,6,5]=>0
[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[1,3,7,2,4,6,5]=>0
[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[1,2,7,3,4,6,5]=>0
[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[1,3,2,7,4,6,5]=>0
[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[1,3,2,7,4,6,5]=>0
[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[1,2,3,7,4,6,5]=>0
[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[1,4,3,2,7,6,5]=>2
[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[1,4,3,2,7,6,5]=>2
[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[1,2,4,3,7,6,5]=>1
[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>[1,4,3,2,7,6,5]=>2
[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[1,2,4,3,7,6,5]=>1
[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>[1,4,2,3,7,6,5]=>1
[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[1,2,4,3,7,6,5]=>1
[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[1,3,2,4,7,6,5]=>1
[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[1,3,2,4,7,6,5]=>1
[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[1,2,3,4,7,6,5]=>1
[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[5,4,3,2,1,7,6]=>3
[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[1,2,5,4,3,7,6]=>1
[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[1,2,5,4,3,7,6]=>1
[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[1,2,5,4,3,7,6]=>1
[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[1,3,2,5,4,7,6]=>0
[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[1,3,2,5,4,7,6]=>0
[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[1,2,3,5,4,7,6]=>0
[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[1,3,5,2,4,7,6]=>0
[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[1,2,5,4,3,7,6]=>1
[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[1,2,5,4,3,7,6]=>1
[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[1,3,2,5,4,7,6]=>0
[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>[1,3,2,5,4,7,6]=>0
[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>[1,2,3,5,4,7,6]=>0
[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[1,3,5,2,4,7,6]=>0
[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[1,3,5,2,4,7,6]=>0
[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[1,2,5,4,3,7,6]=>1
[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[1,3,2,5,4,7,6]=>0
[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>[1,3,2,5,4,7,6]=>0
[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[1,2,3,5,4,7,6]=>0
[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[1,3,5,2,4,7,6]=>0
[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[1,3,5,2,4,7,6]=>0
[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[5,1,2,3,4,7,6]=>0
[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[1,5,2,3,4,7,6]=>0
[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[1,2,5,3,4,7,6]=>0
[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>[1,3,2,5,4,7,6]=>0
[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>[1,3,2,5,4,7,6]=>0
[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[1,2,3,5,4,7,6]=>0
[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[1,4,3,2,5,7,6]=>1
[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[1,4,3,2,5,7,6]=>1
[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[1,2,4,3,5,7,6]=>0
[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[1,4,3,2,5,7,6]=>1
[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>[1,2,4,3,5,7,6]=>0
[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[4,1,2,3,5,7,6]=>0
[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[1,4,2,3,5,7,6]=>0
[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[1,2,4,3,5,7,6]=>0
[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>[1,3,2,4,5,7,6]=>0
[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[3,1,2,4,5,7,6]=>0
[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>[1,3,2,4,5,7,6]=>0
[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,4,5,7,6]=>0
[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[1,2,5,7,4,3,6]=>1
[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[1,2,5,7,4,3,6]=>1
[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[1,2,7,6,4,3,5]=>2
[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[1,2,5,7,4,3,6]=>1
[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[1,2,7,4,6,3,5]=>0
[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[1,4,3,7,6,2,5]=>1
[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[1,4,3,7,6,2,5]=>1
[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[1,2,4,7,6,3,5]=>1
[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[1,2,5,4,7,3,6]=>0
[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[1,2,5,4,7,3,6]=>0
[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[1,2,5,4,7,3,6]=>0
[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[1,3,2,5,7,4,6]=>0
[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[1,3,2,5,7,4,6]=>0
[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[1,2,3,5,7,4,6]=>0
[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[1,3,5,7,2,4,6]=>0
[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[1,2,5,7,4,3,6]=>1
[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[1,2,7,6,4,3,5]=>2
[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[1,2,5,7,4,3,6]=>1
[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[1,2,7,4,6,3,5]=>0
[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[1,4,3,7,6,2,5]=>1
[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[1,2,4,7,6,3,5]=>1
[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[1,3,5,2,7,4,6]=>0
[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[1,2,5,4,7,3,6]=>0
[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[1,2,5,4,7,3,6]=>0
[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[1,3,2,5,7,4,6]=>0
[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[1,3,2,5,7,4,6]=>0
[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[1,2,3,5,7,4,6]=>0
[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[1,3,5,7,2,4,6]=>0
[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[1,3,5,7,2,4,6]=>0
[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[1,2,7,6,4,3,5]=>2
[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[1,2,5,7,4,3,6]=>1
[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[1,2,7,4,6,3,5]=>0
[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[1,4,2,7,6,3,5]=>1
[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[1,2,4,7,6,3,5]=>1
[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[1,3,5,2,7,4,6]=>0
[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[1,3,5,2,7,4,6]=>0
[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[1,2,5,4,7,3,6]=>0
[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[1,3,2,5,7,4,6]=>0
[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[1,3,2,5,7,4,6]=>0
[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[1,2,3,5,7,4,6]=>0
[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[1,3,7,6,2,4,5]=>1
[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[1,3,5,7,2,4,6]=>0
[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[1,3,7,6,2,4,5]=>1
[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[1,3,5,7,2,4,6]=>0
[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[2,5,7,1,3,4,6]=>0
[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>1
[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[1,5,7,2,3,4,6]=>0
[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>1
[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[1,5,2,7,3,4,6]=>0
[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[1,2,5,7,3,4,6]=>0
[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[1,3,7,2,6,4,5]=>0
[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>0
[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>0
[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[1,3,2,7,6,4,5]=>1
[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[1,3,2,7,6,4,5]=>1
[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[1,2,3,7,6,4,5]=>1
[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[1,3,5,2,7,4,6]=>0
[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[1,3,5,2,7,4,6]=>0
[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[5,1,2,3,7,4,6]=>0
[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[1,2,5,3,7,4,6]=>0
[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[1,3,2,5,7,4,6]=>0
[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[1,3,2,5,7,4,6]=>0
[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,5,7,4,6]=>0
[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[1,2,7,4,3,6,5]=>1
[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[1,4,3,7,2,6,5]=>0
[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[1,4,3,7,2,6,5]=>0
[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[1,2,4,7,3,6,5]=>0
[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[1,2,7,4,3,6,5]=>1
[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>0
[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[1,2,4,7,3,6,5]=>0
[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[1,2,7,4,3,6,5]=>1
[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>0
[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]=>0
[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[1,3,7,2,4,6,5]=>0
[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>0
[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>0
[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[1,3,2,7,4,6,5]=>0
[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>0
[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5]=>0
[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>[1,4,3,2,7,6,5]=>2
[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>[1,4,3,2,7,6,5]=>2
[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[1,2,4,3,7,6,5]=>1
[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>2
[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[1,2,4,3,7,6,5]=>1
[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>1
[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>1
[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[1,3,2,4,7,6,5]=>1
[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>1
[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>1
[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[5,4,3,2,1,7,6]=>3
[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[1,2,5,4,3,7,6]=>1
[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[1,2,5,4,3,7,6]=>1
[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[1,2,5,4,3,7,6]=>1
[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[1,3,2,5,4,7,6]=>0
[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[1,3,2,5,4,7,6]=>0
[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[1,2,3,5,4,7,6]=>0
[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[1,3,5,2,4,7,6]=>0
[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[1,2,5,4,3,7,6]=>1
[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[1,2,5,4,3,7,6]=>1
[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[1,3,2,5,4,7,6]=>0
[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>[1,3,2,5,4,7,6]=>0
[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>[1,2,3,5,4,7,6]=>0
[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[1,3,5,2,4,7,6]=>0
[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[1,3,5,2,4,7,6]=>0
[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[1,2,5,4,3,7,6]=>1
[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[1,3,2,5,4,7,6]=>0
[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>[1,3,2,5,4,7,6]=>0
[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>[1,2,3,5,4,7,6]=>0
[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[1,3,5,2,4,7,6]=>0
[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[1,3,5,2,4,7,6]=>0
[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[5,1,2,3,4,7,6]=>0
[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[1,5,2,3,4,7,6]=>0
[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[1,2,5,3,4,7,6]=>0
[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>[1,3,2,5,4,7,6]=>0
[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>[1,3,2,5,4,7,6]=>0
[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,5,4,7,6]=>0
[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>[1,4,3,2,5,7,6]=>1
[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>[1,4,3,2,5,7,6]=>1
[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>[1,2,4,3,5,7,6]=>0
[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>[1,4,3,2,5,7,6]=>1
[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>[1,2,4,3,5,7,6]=>0
[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[4,1,2,3,5,7,6]=>0
[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>[1,4,2,3,5,7,6]=>0
[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,5,7,6]=>0
[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[1,3,2,4,5,7,6]=>0
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[3,1,2,4,5,7,6]=>0
[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[1,3,2,4,5,7,6]=>0
[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,5,7,6]=>0
[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[1,2,7,5,4,3,6]=>2
[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[1,2,5,7,4,3,6]=>1
[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[1,2,7,5,4,3,6]=>2
[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[1,2,5,7,4,3,6]=>1
[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[1,2,7,5,4,3,6]=>2
[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[1,2,5,7,4,3,6]=>1
[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[1,3,7,2,5,4,6]=>0
[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[1,3,7,2,5,4,6]=>0
[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[1,2,7,3,5,4,6]=>0
[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[1,3,2,7,5,4,6]=>1
[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[1,3,2,7,5,4,6]=>1
[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[1,2,3,7,5,4,6]=>1
[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[1,2,5,4,7,3,6]=>0
[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[1,2,5,4,7,3,6]=>0
[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[1,2,5,4,7,3,6]=>0
[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[1,3,2,5,7,4,6]=>0
[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[1,3,2,5,7,4,6]=>0
[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[1,2,3,5,7,4,6]=>0
[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[1,3,7,5,2,4,6]=>1
[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[1,3,5,7,2,4,6]=>0
[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[1,2,7,5,4,3,6]=>2
[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[1,2,5,7,4,3,6]=>1
[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[1,2,7,5,4,3,6]=>2
[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[1,2,5,7,4,3,6]=>1
[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[1,3,7,2,5,4,6]=>0
[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[1,3,7,2,5,4,6]=>0
[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[1,2,7,3,5,4,6]=>0
[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[1,3,2,7,5,4,6]=>1
[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[1,3,2,7,5,4,6]=>1
[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[1,2,3,7,5,4,6]=>1
[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[1,3,5,2,7,4,6]=>0
[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[1,2,5,4,7,3,6]=>0
[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[1,2,5,4,7,3,6]=>0
[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[1,3,2,5,7,4,6]=>0
[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]=>[1,3,2,5,7,4,6]=>0
[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[1,2,3,5,7,4,6]=>0
[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[1,3,7,5,2,4,6]=>1
[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[1,3,5,7,2,4,6]=>0
[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[1,3,7,5,2,4,6]=>1
[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[1,3,5,7,2,4,6]=>0
[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[1,2,7,5,4,3,6]=>2
[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[1,2,5,7,4,3,6]=>1
[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[1,3,7,2,5,4,6]=>0
[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[1,3,7,2,5,4,6]=>0
[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[1,2,7,3,5,4,6]=>0
[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[1,3,2,7,5,4,6]=>1
[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[1,3,2,7,5,4,6]=>1
[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[1,2,3,7,5,4,6]=>1
[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[1,3,5,2,7,4,6]=>0
[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[1,3,5,2,7,4,6]=>0
[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[1,2,5,4,7,3,6]=>0
[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[1,3,2,5,7,4,6]=>0
[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>[1,3,2,5,7,4,6]=>0
[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[1,2,3,5,7,4,6]=>0
[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[1,3,7,5,2,4,6]=>1
[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[1,3,5,7,2,4,6]=>0
[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[1,3,7,5,2,4,6]=>1
[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]=>0
[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>0
[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>1
[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[1,2,7,5,3,4,6]=>1
[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>0
[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>0
[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[1,3,7,2,5,4,6]=>0
[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>0
[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>0
[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[1,3,2,7,5,4,6]=>1
[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[1,3,2,7,5,4,6]=>1
[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[1,2,3,7,5,4,6]=>1
[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[1,3,5,2,7,4,6]=>0
[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]=>0
[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]=>0
[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>0
[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[1,3,2,5,7,4,6]=>0
[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>0
[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,5,7,4,6]=>0
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[1,2,7,4,3,5,6]=>1
[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[1,4,3,7,2,5,6]=>0
[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[1,4,3,7,2,5,6]=>0
[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[1,2,4,7,3,5,6]=>0
[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[1,2,7,4,3,5,6]=>1
[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[1,4,3,7,2,5,6]=>0
[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[1,2,4,7,3,5,6]=>0
[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[7,4,2,1,3,5,6]=>2
[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[7,4,1,2,3,5,6]=>1
[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[1,2,7,4,3,5,6]=>1
[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>0
[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]=>0
[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>2
[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[1,3,7,2,4,5,6]=>0
[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[7,3,1,2,4,5,6]=>1
[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>0
[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>1
[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>0
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>0
[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>0
[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>0
[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[1,3,2,7,4,5,6]=>0
[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>0
[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>0
[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>0
[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>[1,4,3,2,7,5,6]=>1
[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>[1,4,3,2,7,5,6]=>1
[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[1,2,4,3,7,5,6]=>0
[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[1,4,3,2,7,5,6]=>1
[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[1,2,4,3,7,5,6]=>0
[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>0
[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>0
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[1,3,2,4,7,5,6]=>0
[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>0
[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>0
[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>0
[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>3
[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>[1,2,5,4,3,7,6]=>1
[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>[1,2,5,4,3,7,6]=>1
[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>[1,2,5,4,3,7,6]=>1
[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[1,3,2,5,4,7,6]=>0
[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[1,3,2,5,4,7,6]=>0
[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[1,2,3,5,4,7,6]=>0
[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>[1,3,5,2,4,7,6]=>0
[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>[1,2,5,4,3,7,6]=>1
[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>[1,2,5,4,3,7,6]=>1
[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[1,3,2,5,4,7,6]=>0
[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[1,3,2,5,4,7,6]=>0
[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[1,2,3,5,4,7,6]=>0
[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>[1,3,5,2,4,7,6]=>0
[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>[1,3,5,2,4,7,6]=>0
[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>1
[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[1,3,2,5,4,7,6]=>0
[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[1,3,2,5,4,7,6]=>0
[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[1,2,3,5,4,7,6]=>0
[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>[1,3,5,2,4,7,6]=>0
[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]=>0
[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>0
[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>0
[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[1,3,2,5,4,7,6]=>0
[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>0
[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>0
[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[1,4,3,2,5,7,6]=>1
[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[1,4,3,2,5,7,6]=>1
[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[1,2,4,3,5,7,6]=>0
[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>1
[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[1,2,4,3,5,7,6]=>0
[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>0
[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>0
[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>0
[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[1,3,2,4,5,7,6]=>0
[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>0
[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>0
[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>4
[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[1,2,6,5,4,3,7]=>2
[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[1,2,6,5,4,3,7]=>2
[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[1,2,6,5,4,3,7]=>2
[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[1,3,2,6,5,4,7]=>1
[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>[1,3,2,6,5,4,7]=>1
[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>[1,2,3,6,5,4,7]=>1
[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[1,3,6,2,5,4,7]=>0
[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[1,2,6,5,4,3,7]=>2
[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[1,2,6,5,4,3,7]=>2
[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[1,3,2,6,5,4,7]=>1
[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[1,3,2,6,5,4,7]=>1
[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>[1,2,3,6,5,4,7]=>1
[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[1,3,6,2,5,4,7]=>0
[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[1,3,6,2,5,4,7]=>0
[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[1,2,6,5,4,3,7]=>2
[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[1,3,2,6,5,4,7]=>1
[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[1,3,2,6,5,4,7]=>1
[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>[1,2,3,6,5,4,7]=>1
[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[1,3,6,2,5,4,7]=>0
[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[1,3,6,2,5,4,7]=>0
[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[1,2,6,3,5,4,7]=>0
[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[1,3,2,6,5,4,7]=>1
[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[1,3,2,6,5,4,7]=>1
[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[1,2,3,6,5,4,7]=>1
[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[1,4,3,2,6,5,7]=>1
[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]=>[1,4,3,2,6,5,7]=>1
[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]=>[1,2,4,3,6,5,7]=>0
[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[1,4,3,2,6,5,7]=>1
[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[1,2,4,3,6,5,7]=>0
[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[1,4,2,3,6,5,7]=>0
[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>[1,2,4,3,6,5,7]=>0
[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>[1,3,2,4,6,5,7]=>0
[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>[1,3,2,4,6,5,7]=>0
[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>[1,2,3,4,6,5,7]=>0
[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[1,3,6,5,2,4,7]=>1
[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[1,3,6,5,2,4,7]=>1
[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[1,3,6,5,2,4,7]=>1
[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[1,4,3,6,2,5,7]=>0
[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[1,4,3,6,2,5,7]=>0
[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[1,2,4,6,3,5,7]=>0
[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[1,3,6,2,5,4,7]=>0
[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[1,2,6,5,4,3,7]=>2
[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[1,2,6,5,4,3,7]=>2
[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[1,3,2,6,5,4,7]=>1
[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[1,3,2,6,5,4,7]=>1
[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[1,2,3,6,5,4,7]=>1
[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[1,3,6,2,5,4,7]=>0
[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[1,3,6,2,5,4,7]=>0
[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[1,2,6,5,4,3,7]=>2
[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[1,3,2,6,5,4,7]=>1
[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[1,3,2,6,5,4,7]=>1
[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[1,2,3,6,5,4,7]=>1
[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[1,3,6,2,5,4,7]=>0
[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[1,3,6,2,5,4,7]=>0
[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[1,2,6,3,5,4,7]=>0
[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[1,3,2,6,5,4,7]=>1
[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[1,3,2,6,5,4,7]=>1
[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[1,2,3,6,5,4,7]=>1
[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[1,4,3,2,6,5,7]=>1
[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>[1,4,3,2,6,5,7]=>1
[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>[1,2,4,3,6,5,7]=>0
[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[1,4,3,2,6,5,7]=>1
[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[1,2,4,3,6,5,7]=>0
[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[1,4,2,3,6,5,7]=>0
[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[1,2,4,3,6,5,7]=>0
[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>[1,3,2,4,6,5,7]=>0
[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[1,3,2,4,6,5,7]=>0
[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[1,2,3,4,6,5,7]=>0
[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[1,4,6,3,2,5,7]=>1
[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[1,3,6,5,2,4,7]=>1
[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[1,3,6,5,2,4,7]=>1
[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[1,4,3,6,2,5,7]=>0
[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[1,4,3,6,2,5,7]=>0
[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>[1,2,4,6,3,5,7]=>0
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[1,3,6,5,2,4,7]=>1
[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[1,3,6,5,2,4,7]=>1
[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[1,4,3,6,2,5,7]=>0
[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[1,2,4,6,3,5,7]=>0
[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[1,3,6,2,5,4,7]=>0
[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[1,3,6,2,5,4,7]=>0
[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>2
[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[1,3,2,6,5,4,7]=>1
[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[1,3,2,6,5,4,7]=>1
[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[1,2,3,6,5,4,7]=>1
[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[1,3,6,2,5,4,7]=>0
[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[1,3,6,2,5,4,7]=>0
[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[1,2,6,3,5,4,7]=>0
[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[1,3,2,6,5,4,7]=>1
[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[1,3,2,6,5,4,7]=>1
[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[1,2,3,6,5,4,7]=>1
[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[1,4,3,2,6,5,7]=>1
[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[1,4,3,2,6,5,7]=>1
[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[1,2,4,3,6,5,7]=>0
[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[1,4,3,2,6,5,7]=>1
[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[1,2,4,3,6,5,7]=>0
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[1,4,2,3,6,5,7]=>0
[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[1,2,4,3,6,5,7]=>0
[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>[1,3,2,4,6,5,7]=>0
[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[1,3,2,4,6,5,7]=>0
[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[1,2,3,4,6,5,7]=>0
[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[1,4,6,3,2,5,7]=>1
[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[1,4,6,3,2,5,7]=>1
[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[1,3,6,5,2,4,7]=>1
[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[1,4,3,6,2,5,7]=>0
[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[1,4,3,6,2,5,7]=>0
[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>[1,2,4,6,3,5,7]=>0
[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[1,4,6,3,2,5,7]=>1
[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[1,3,6,5,2,4,7]=>1
[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[1,4,3,6,2,5,7]=>0
[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[1,2,4,6,3,5,7]=>0
[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[4,6,1,2,3,5,7]=>0
[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[4,1,6,2,3,5,7]=>0
[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[1,4,6,2,3,5,7]=>0
[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[1,2,6,5,3,4,7]=>1
[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[1,4,2,6,3,5,7]=>0
[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[1,2,4,6,3,5,7]=>0
[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[1,3,6,2,5,4,7]=>0
[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>0
[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>0
[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[1,3,2,6,5,4,7]=>1
[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>1
[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>1
[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>[1,4,3,2,6,5,7]=>1
[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[1,4,3,2,6,5,7]=>1
[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>[1,2,4,3,6,5,7]=>0
[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[1,4,3,2,6,5,7]=>1
[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[1,2,4,3,6,5,7]=>0
[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[1,4,2,3,6,5,7]=>0
[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[1,2,4,3,6,5,7]=>0
[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>[1,3,2,4,6,5,7]=>0
[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>[1,3,2,4,6,5,7]=>0
[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,4,6,5,7]=>0
[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[1,4,6,3,2,5,7]=>1
[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[1,4,6,3,2,5,7]=>1
[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[1,2,6,4,3,5,7]=>1
[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[1,4,3,6,2,5,7]=>0
[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[1,4,3,6,2,5,7]=>0
[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[1,2,4,6,3,5,7]=>0
[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[1,4,6,3,2,5,7]=>1
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[1,2,6,4,3,5,7]=>1
[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[1,4,3,6,2,5,7]=>0
[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[1,2,4,6,3,5,7]=>0
[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[4,6,1,2,3,5,7]=>0
[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>0
[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>0
[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[1,2,6,4,3,5,7]=>1
[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>0
[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]=>0
[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[1,3,6,2,4,5,7]=>0
[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[3,6,1,2,4,5,7]=>0
[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]=>0
[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[2,6,1,3,4,5,7]=>0
[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>0
[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>0
[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>0
[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[1,3,2,6,4,5,7]=>0
[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>0
[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>0
[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[1,4,3,2,6,5,7]=>1
[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[1,4,3,2,6,5,7]=>1
[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[1,2,4,3,6,5,7]=>0
[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>1
[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>[1,2,4,3,6,5,7]=>0
[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>0
[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>0
[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>[1,3,2,4,6,5,7]=>0
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>0
[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>3
[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>[1,2,5,4,3,6,7]=>1
[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>[1,2,5,4,3,6,7]=>1
[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[1,2,5,4,3,6,7]=>1
[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]=>[1,3,2,5,4,6,7]=>0
[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>[1,3,2,5,4,6,7]=>0
[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>[1,2,3,5,4,6,7]=>0
[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7]=>0
[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[1,2,5,4,3,6,7]=>1
[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[1,2,5,4,3,6,7]=>1
[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>[1,3,2,5,4,6,7]=>0
[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[1,3,2,5,4,6,7]=>0
[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[1,2,3,5,4,6,7]=>0
[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>[1,3,5,2,4,6,7]=>0
[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[1,3,5,2,4,6,7]=>0
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>1
[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>[1,3,2,5,4,6,7]=>0
[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[1,3,2,5,4,6,7]=>0
[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[1,2,3,5,4,6,7]=>0
[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[1,3,5,2,4,6,7]=>0
[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]=>0
[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[2,5,1,3,4,6,7]=>0
[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>0
[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>0
[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>[1,3,2,5,4,6,7]=>0
[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>0
[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>0
[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>2
[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>[1,4,3,2,5,6,7]=>1
[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[1,4,3,2,5,6,7]=>1
[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>[1,2,4,3,5,6,7]=>0
[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[2,4,1,3,5,6,7]=>0
[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>1
[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[1,2,4,3,5,6,7]=>0
[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>0
[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>0
[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>0
[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>0
[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>1
[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>0
[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>0
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>0
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0
[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>2
[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>5
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>0
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>0
[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,5,6,7]=>0
[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>2
[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[2,1,6,3,4,5,8,7]=>0
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>2
[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>[2,1,8,3,4,5,6,7]=>0
[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>[2,1,8,7,4,3,6,5]=>2
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>4
[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,8,6,7]=>0
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>2
[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>4
[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>0
[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[4,1,2,3,8,5,6,7]=>0
[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[4,1,3,2,8,6,5,7]=>1
[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[4,2,1,3,8,5,7,6]=>1
[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[4,3,1,2,8,7,5,6]=>2
[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>2
[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[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]=>[4,3,2,1,8,7,6,5]=>4
[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>4
[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,8,7]=>0
[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>[6,5,2,1,4,3,8,7]=>2
[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>4
[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>5
[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>0
[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[8,1,6,3,2,5,4,7]=>1
[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>[8,1,7,6,5,4,2,3]=>3
[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[8,3,1,2,4,7,5,6]=>1
[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>[8,6,4,2,1,3,5,7]=>3
[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>[8,6,4,3,2,1,5,7]=>4
[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>[8,6,5,4,2,1,3,7]=>4
[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>[8,6,5,4,3,1,2,7]=>4
[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[8,6,5,4,3,2,1,7]=>5
[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>[8,7,1,6,5,3,2,4]=>3
[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>[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]=>[8,7,6,1,2,3,4,5]=>2
[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[8,7,6,1,4,3,2,5]=>3
[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>[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]=>[8,7,6,4,3,2,1,5]=>5
[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[8,7,6,5,1,2,3,4]=>3
[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,2,1,3]=>5
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>6
[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,4,5,6,8,7]=>0
[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,8,7]=>0
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[2,4,6,8,1,3,5,7]=>0
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[4,3,2,1,8,7,6,5]=>4
[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>[2,1,8,7,6,5,4,3]=>4
[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>[4,3,2,1,8,7,6,5]=>4
[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>[2,1,8,7,6,5,4,3]=>4
[1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]=>[2,1,8,7,6,5,4,3]=>4
[1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]=>[4,3,2,1,8,7,6,5]=>4
[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>[6,5,4,3,2,1,8,7]=>4
[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[6,1,8,3,2,5,4,7]=>1
[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[6,1,8,2,3,4,5,7]=>0
[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[5,1,2,8,3,4,6,7]=>0
[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[5,2,1,8,3,4,7,6]=>1
[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[5,3,1,8,2,7,4,6]=>1
[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[5,4,1,8,7,2,3,6]=>2
[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[1,2,3,5,4,7,6,8]=>0
[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[8,4,3,1,7,6,2,5]=>3
[4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]=>[4,3,2,1,6,5,8,7]=>2
[5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]=>[4,3,2,1,6,5,8,7]=>2
[6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]=>[4,3,2,1,6,5,8,7]=>2
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[2,1,4,3,6,5,8,7]=>0
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[2,1,4,3,6,5,8,7]=>0
[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>[2,1,4,3,6,5,8,7]=>0
[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>[2,1,4,3,6,5,8,7]=>0
[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]=>[2,1,4,3,6,5,8,7]=>0
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[2,1,4,3,6,5,8,7]=>0
[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]=>[2,1,4,3,6,5,8,7]=>0
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[2,1,4,3,6,5,8,7]=>0
[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,6,5,8,7]=>0
[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>[2,1,4,3,6,5,8,7]=>0
[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]=>[2,1,4,3,6,5,8,7]=>0
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[2,1,4,3,6,5,8,7]=>0
[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>0
[7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]=>[6,8,5,4,2,1,3,7]=>3
[5,8,1,2,6,7,3,4]=>[4,3,7,6,2,1,8,5]=>[2,1,6,5,4,3,8,7]=>2
[6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]=>[5,8,7,2,1,4,3,6]=>2
[5,6,7,8,2,4,1,3]=>[3,1,4,2,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>2
[5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>2
[5,8,6,7,1,2,3,4]=>[4,3,2,1,7,6,8,5]=>[4,3,2,1,6,5,8,7]=>2
[6,4,7,3,5,8,1,2]=>[2,1,8,5,3,7,4,6]=>[2,1,8,5,3,7,4,6]=>1
[7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]=>[6,3,1,5,2,4,8,7]=>1
[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>[2,1,4,3,6,5,8,7]=>0
[2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2]=>[2,1,4,3,6,5,8,7]=>0
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[2,4,6,8,1,3,5,7]=>0
[5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]=>[2,1,4,3,6,5,8,7]=>0
[7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]=>[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]=>[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]=>[4,3,2,1,6,5,8,7]=>2
[7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>0
[3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]=>[2,1,3,4,5,6,8,7]=>0
[5,3,6,7,1,2,8,4]=>[4,8,2,1,7,6,3,5]=>[4,8,2,1,7,6,3,5]=>2
[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>0
[7,6,1,8,3,2,4,5]=>[5,4,2,3,8,1,6,7]=>[5,4,1,3,8,2,6,7]=>1
[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[2,1,4,3,6,5,8,7]=>0
[5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]=>[3,2,8,1,7,6,4,5]=>1
[3,4,6,8,1,7,2,5]=>[5,2,7,1,8,6,4,3]=>[2,1,4,3,8,7,6,5]=>2
[7,4,1,5,6,8,2,3]=>[3,2,8,6,5,1,4,7]=>[3,2,8,6,5,1,4,7]=>2
[6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6]=>[3,2,8,7,1,5,4,6]=>1
[7,4,1,2,3,8,5,6]=>[6,5,8,3,2,1,4,7]=>[6,5,8,3,2,1,4,7]=>2
[4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]=>[4,8,1,2,7,6,3,5]=>1
[7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]=>[2,1,4,3,6,5,8,7]=>0
[5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]=>[2,1,4,3,6,5,8,7]=>0
[4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]=>[2,1,4,3,6,5,8,7]=>0
[7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]=>[2,1,6,5,4,3,8,7]=>2
[7,8,4,5,3,1,6,2]=>[2,6,1,3,5,4,8,7]=>[2,6,1,3,5,4,8,7]=>0
[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[8,1,4,2,6,3,5,7]=>0
[5,3,6,7,2,1,8,4]=>[4,8,1,2,7,6,3,5]=>[4,8,1,2,7,6,3,5]=>1
[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]=>[6,8,5,4,2,1,3,7]=>3
[4,6,7,8,3,5,1,2]=>[2,1,5,3,8,7,6,4]=>[2,1,4,3,8,7,6,5]=>2
[5,6,2,7,3,1,4,8]=>[8,4,1,3,7,2,6,5]=>[8,4,1,3,7,2,6,5]=>1
[5,6,7,4,2,8,1,3]=>[3,1,8,2,4,7,6,5]=>[3,1,8,2,4,7,6,5]=>1
[6,7,5,3,8,4,1,2]=>[2,1,4,8,3,5,7,6]=>[2,1,4,8,3,5,7,6]=>0
[7,5,6,4,1,2,8,3]=>[3,8,2,1,4,6,5,7]=>[3,8,2,1,4,6,5,7]=>1
[6,7,5,4,3,1,8,2]=>[2,8,1,3,4,5,7,6]=>[2,8,1,3,4,5,7,6]=>0
[6,8,2,7,1,5,3,4]=>[4,3,5,1,7,2,8,6]=>[2,1,4,3,6,5,8,7]=>0
[2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]=>[2,1,4,3,8,7,6,5]=>2
[5,8,6,7,3,4,1,2]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,6,5,8,7]=>0
[4,8,6,7,3,5,1,2]=>[2,1,5,3,7,6,8,4]=>[2,1,4,3,6,5,8,7]=>0
[3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]=>[2,1,4,3,6,5,8,7]=>0
[2,8,6,7,4,5,1,3]=>[3,1,5,4,7,6,8,2]=>[2,1,4,3,6,5,8,7]=>0
[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]=>[2,1,4,3,6,5,8,7]=>0
[1,8,5,7,4,6,2,3]=>[3,2,6,4,7,5,8,1]=>[2,1,4,3,6,5,8,7]=>0
[3,8,5,7,4,6,1,2]=>[2,1,6,4,7,5,8,3]=>[2,1,4,3,6,5,8,7]=>0
[4,8,5,7,3,6,1,2]=>[2,1,6,3,7,5,8,4]=>[2,1,4,3,6,5,8,7]=>0
[7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]=>[2,1,4,3,6,5,8,7]=>0
[6,8,3,7,4,5,1,2]=>[2,1,5,4,7,3,8,6]=>[2,1,4,3,6,5,8,7]=>0
[5,8,3,7,4,6,1,2]=>[2,1,6,4,7,3,8,5]=>[2,1,4,3,6,5,8,7]=>0
[5,8,2,7,4,6,1,3]=>[3,1,6,4,7,2,8,5]=>[2,1,4,3,6,5,8,7]=>0
[6,8,2,7,4,5,1,3]=>[3,1,5,4,7,2,8,6]=>[2,1,4,3,6,5,8,7]=>0
[7,8,2,6,4,5,1,3]=>[3,1,5,4,6,2,8,7]=>[2,1,4,3,6,5,8,7]=>0
[7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]=>[2,1,4,3,6,5,8,7]=>0
[6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]=>[2,1,4,3,6,5,8,7]=>0
[5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]=>[2,1,4,3,6,5,8,7]=>0
[4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]=>[2,1,4,3,6,5,8,7]=>0
[5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]=>[2,1,4,3,6,5,8,7]=>0
[6,8,1,7,3,5,2,4]=>[4,2,5,3,7,1,8,6]=>[2,1,4,3,6,5,8,7]=>0
[7,8,2,6,3,5,1,4]=>[4,1,5,3,6,2,8,7]=>[2,1,4,3,6,5,8,7]=>0
[6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]=>[2,1,4,3,6,5,8,7]=>0
[5,8,2,7,3,6,1,4]=>[4,1,6,3,7,2,8,5]=>[2,1,4,3,6,5,8,7]=>0
[4,8,2,7,3,6,1,5]=>[5,1,6,3,7,2,8,4]=>[2,1,4,3,6,5,8,7]=>0
[1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]=>[2,1,4,3,6,5,8,7]=>0
[2,8,4,7,3,6,1,5]=>[5,1,6,3,7,4,8,2]=>[2,1,4,3,6,5,8,7]=>0
[3,8,4,7,2,6,1,5]=>[5,1,6,2,7,4,8,3]=>[2,1,4,3,6,5,8,7]=>0
[4,8,5,7,2,6,1,3]=>[3,1,6,2,7,5,8,4]=>[2,1,4,3,6,5,8,7]=>0
[3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]=>[2,1,4,3,6,5,8,7]=>0
[2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]=>[2,1,4,3,6,5,8,7]=>0
[1,8,5,7,3,6,2,4]=>[4,2,6,3,7,5,8,1]=>[2,1,4,3,6,5,8,7]=>0
[1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]=>[2,1,4,3,6,5,8,7]=>0
[2,8,6,7,3,5,1,4]=>[4,1,5,3,7,6,8,2]=>[2,1,4,3,6,5,8,7]=>0
[3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]=>[2,1,4,3,6,5,8,7]=>0
[4,8,6,7,2,5,1,3]=>[3,1,5,2,7,6,8,4]=>[2,1,4,3,6,5,8,7]=>0
[5,8,6,7,2,4,1,3]=>[3,1,4,2,7,6,8,5]=>[2,1,4,3,6,5,8,7]=>0
[6,8,5,7,1,4,2,3]=>[3,2,4,1,7,5,8,6]=>[2,1,4,3,6,5,8,7]=>0
[5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]=>[2,1,4,3,6,5,8,7]=>0
[4,8,6,7,1,5,2,3]=>[3,2,5,1,7,6,8,4]=>[2,1,4,3,6,5,8,7]=>0
[3,8,6,7,1,5,2,4]=>[4,2,5,1,7,6,8,3]=>[2,1,4,3,6,5,8,7]=>0
[3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]=>[2,1,4,3,6,5,8,7]=>0
[6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]=>[2,1,4,3,6,5,8,7]=>0
[7,8,4,6,1,5,2,3]=>[3,2,5,1,6,4,8,7]=>[2,1,4,3,6,5,8,7]=>0
[7,8,3,6,1,5,2,4]=>[4,2,5,1,6,3,8,7]=>[2,1,4,3,6,5,8,7]=>0
[6,8,3,7,1,5,2,4]=>[4,2,5,1,7,3,8,6]=>[2,1,4,3,6,5,8,7]=>0
[4,8,3,7,1,6,2,5]=>[5,2,6,1,7,3,8,4]=>[2,1,4,3,6,5,8,7]=>0
[3,8,4,7,1,6,2,5]=>[5,2,6,1,7,4,8,3]=>[2,1,4,3,6,5,8,7]=>0
[7,8,2,6,1,5,3,4]=>[4,3,5,1,6,2,8,7]=>[2,1,4,3,6,5,8,7]=>0
[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]=>[2,1,4,3,6,5,8,7]=>0
[1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]=>[2,1,4,3,6,5,8,7]=>0
[1,8,5,7,2,6,3,4]=>[4,3,6,2,7,5,8,1]=>[2,1,4,3,6,5,8,7]=>0
[5,8,1,7,2,6,3,4]=>[4,3,6,2,7,1,8,5]=>[2,1,4,3,6,5,8,7]=>0
[5,8,2,7,1,6,3,4]=>[4,3,6,1,7,2,8,5]=>[2,1,4,3,6,5,8,7]=>0
[2,8,6,7,1,5,3,4]=>[4,3,5,1,7,6,8,2]=>[2,1,4,3,6,5,8,7]=>0
[2,8,5,7,1,6,3,4]=>[4,3,6,1,7,5,8,2]=>[2,1,4,3,6,5,8,7]=>0
[2,8,1,7,5,6,3,4]=>[4,3,6,5,7,1,8,2]=>[2,1,4,3,6,5,8,7]=>0
[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]=>[2,1,4,3,6,5,8,7]=>0
[1,8,2,7,4,6,3,5]=>[5,3,6,4,7,2,8,1]=>[2,1,4,3,6,5,8,7]=>0
[2,8,1,7,4,6,3,5]=>[5,3,6,4,7,1,8,2]=>[2,1,4,3,6,5,8,7]=>0
[2,8,4,7,1,6,3,5]=>[5,3,6,1,7,4,8,2]=>[2,1,4,3,6,5,8,7]=>0
[4,8,2,7,1,6,3,5]=>[5,3,6,1,7,2,8,4]=>[2,1,4,3,6,5,8,7]=>0
[4,8,1,7,2,6,3,5]=>[5,3,6,2,7,1,8,4]=>[2,1,4,3,6,5,8,7]=>0
[1,8,4,7,2,6,3,5]=>[5,3,6,2,7,4,8,1]=>[2,1,4,3,6,5,8,7]=>0
[4,8,1,7,5,6,2,3]=>[3,2,6,5,7,1,8,4]=>[2,1,4,3,6,5,8,7]=>0
[1,8,4,7,5,6,2,3]=>[3,2,6,5,7,4,8,1]=>[2,1,4,3,6,5,8,7]=>0
[1,8,3,7,5,6,2,4]=>[4,2,6,5,7,3,8,1]=>[2,1,4,3,6,5,8,7]=>0
[3,8,1,7,5,6,2,4]=>[4,2,6,5,7,1,8,3]=>[2,1,4,3,6,5,8,7]=>0
[3,8,1,7,4,6,2,5]=>[5,2,6,4,7,1,8,3]=>[2,1,4,3,6,5,8,7]=>0
[1,8,3,7,4,6,2,5]=>[5,2,6,4,7,3,8,1]=>[2,1,4,3,6,5,8,7]=>0
[1,8,3,7,2,6,4,5]=>[5,4,6,2,7,3,8,1]=>[2,1,4,3,6,5,8,7]=>0
[3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]=>[2,1,4,3,6,5,8,7]=>0
[3,8,2,7,1,6,4,5]=>[5,4,6,1,7,2,8,3]=>[2,1,4,3,6,5,8,7]=>0
[3,8,2,7,4,6,1,5]=>[5,1,6,4,7,2,8,3]=>[2,1,4,3,6,5,8,7]=>0
[3,8,2,7,5,6,1,4]=>[4,1,6,5,7,2,8,3]=>[2,1,4,3,6,5,8,7]=>0
[4,8,2,7,5,6,1,3]=>[3,1,6,5,7,2,8,4]=>[2,1,4,3,6,5,8,7]=>0
[4,8,3,7,5,6,1,2]=>[2,1,6,5,7,3,8,4]=>[2,1,4,3,6,5,8,7]=>0
[3,8,4,7,5,6,1,2]=>[2,1,6,5,7,4,8,3]=>[2,1,4,3,6,5,8,7]=>0
[2,8,4,7,5,6,1,3]=>[3,1,6,5,7,4,8,2]=>[2,1,4,3,6,5,8,7]=>0
[2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2]=>[2,1,4,3,6,5,8,7]=>0
[2,8,3,7,4,6,1,5]=>[5,1,6,4,7,3,8,2]=>[2,1,4,3,6,5,8,7]=>0
[2,8,3,7,1,6,4,5]=>[5,4,6,1,7,3,8,2]=>[2,1,4,3,6,5,8,7]=>0
[2,8,1,7,3,6,4,5]=>[5,4,6,3,7,1,8,2]=>[2,1,4,3,6,5,8,7]=>0
[1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]=>[2,1,4,3,8,7,6,5]=>2
[4,8,2,3,5,7,1,6]=>[6,1,7,5,3,2,8,4]=>[2,1,6,5,4,3,8,7]=>2
[1,4,7,8,3,6,2,5]=>[5,2,6,3,8,7,4,1]=>[2,1,4,3,8,7,6,5]=>2
[4,8,1,3,6,7,2,5]=>[5,2,7,6,3,1,8,4]=>[2,1,6,5,4,3,8,7]=>2
[3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]=>[2,1,4,3,8,7,6,5]=>2
[7,8,1,5,4,2,6,3]=>[3,6,2,4,5,1,8,7]=>[2,6,1,3,5,4,8,7]=>0
[7,8,3,5,4,1,6,2]=>[2,6,1,4,5,3,8,7]=>[2,6,1,3,5,4,8,7]=>0
[3,7,6,4,8,5,1,2]=>[2,1,5,8,4,6,7,3]=>[2,1,4,8,3,5,7,6]=>0
[5,7,6,3,8,4,1,2]=>[2,1,4,8,3,6,7,5]=>[2,1,4,8,3,5,7,6]=>0
[4,7,6,5,3,1,8,2]=>[2,8,1,3,5,6,7,4]=>[2,8,1,3,4,5,7,6]=>0
[2,3,6,8,4,7,1,5]=>[5,1,7,4,8,6,3,2]=>[2,1,4,3,8,7,6,5]=>2
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Description
The number of double descents of a permutation.
A double descent of a permutation π is a position i such that π(i)>π(i+1)>π(i+2).
A double descent of a permutation π is a position i such that π(i)>π(i+1)>π(i+2).
Map
Inverse fireworks map
Description
Sends a permutation to an inverse fireworks permutation.
A permutation σ is inverse fireworks if its inverse avoids the vincular pattern 3−12. The inverse fireworks map sends any permutation σ to an inverse fireworks permutation that is below σ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
A permutation σ is inverse fireworks if its inverse avoids the vincular pattern 3−12. The inverse fireworks map sends any permutation σ to an inverse fireworks permutation that is below σ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
The reverse of a permutation σ of length n is given by τ with τ(i)=σ(n+1−i).
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!