Identifier
-
Mp00252:
Permutations
—restriction⟶
Permutations
St000036: Permutations ⟶ ℤ
Values
=>
[1,2]=>[1]=>1
[2,1]=>[1]=>1
[1,2,3]=>[1,2]=>1
[1,3,2]=>[1,2]=>1
[2,1,3]=>[2,1]=>1
[2,3,1]=>[2,1]=>1
[3,1,2]=>[1,2]=>1
[3,2,1]=>[2,1]=>1
[1,2,3,4]=>[1,2,3]=>1
[1,2,4,3]=>[1,2,3]=>1
[1,3,2,4]=>[1,3,2]=>1
[1,3,4,2]=>[1,3,2]=>1
[1,4,2,3]=>[1,2,3]=>1
[1,4,3,2]=>[1,3,2]=>1
[2,1,3,4]=>[2,1,3]=>1
[2,1,4,3]=>[2,1,3]=>1
[2,3,1,4]=>[2,3,1]=>1
[2,3,4,1]=>[2,3,1]=>1
[2,4,1,3]=>[2,1,3]=>1
[2,4,3,1]=>[2,3,1]=>1
[3,1,2,4]=>[3,1,2]=>1
[3,1,4,2]=>[3,1,2]=>1
[3,2,1,4]=>[3,2,1]=>1
[3,2,4,1]=>[3,2,1]=>1
[3,4,1,2]=>[3,1,2]=>1
[3,4,2,1]=>[3,2,1]=>1
[4,1,2,3]=>[1,2,3]=>1
[4,1,3,2]=>[1,3,2]=>1
[4,2,1,3]=>[2,1,3]=>1
[4,2,3,1]=>[2,3,1]=>1
[4,3,1,2]=>[3,1,2]=>1
[4,3,2,1]=>[3,2,1]=>1
[1,2,3,4,5]=>[1,2,3,4]=>1
[1,2,3,5,4]=>[1,2,3,4]=>1
[1,2,4,3,5]=>[1,2,4,3]=>1
[1,2,4,5,3]=>[1,2,4,3]=>1
[1,2,5,3,4]=>[1,2,3,4]=>1
[1,2,5,4,3]=>[1,2,4,3]=>1
[1,3,2,4,5]=>[1,3,2,4]=>1
[1,3,2,5,4]=>[1,3,2,4]=>1
[1,3,4,2,5]=>[1,3,4,2]=>1
[1,3,4,5,2]=>[1,3,4,2]=>1
[1,3,5,2,4]=>[1,3,2,4]=>1
[1,3,5,4,2]=>[1,3,4,2]=>1
[1,4,2,3,5]=>[1,4,2,3]=>1
[1,4,2,5,3]=>[1,4,2,3]=>1
[1,4,3,2,5]=>[1,4,3,2]=>1
[1,4,3,5,2]=>[1,4,3,2]=>1
[1,4,5,2,3]=>[1,4,2,3]=>1
[1,4,5,3,2]=>[1,4,3,2]=>1
[1,5,2,3,4]=>[1,2,3,4]=>1
[1,5,2,4,3]=>[1,2,4,3]=>1
[1,5,3,2,4]=>[1,3,2,4]=>1
[1,5,3,4,2]=>[1,3,4,2]=>1
[1,5,4,2,3]=>[1,4,2,3]=>1
[1,5,4,3,2]=>[1,4,3,2]=>1
[2,1,3,4,5]=>[2,1,3,4]=>1
[2,1,3,5,4]=>[2,1,3,4]=>1
[2,1,4,3,5]=>[2,1,4,3]=>1
[2,1,4,5,3]=>[2,1,4,3]=>1
[2,1,5,3,4]=>[2,1,3,4]=>1
[2,1,5,4,3]=>[2,1,4,3]=>1
[2,3,1,4,5]=>[2,3,1,4]=>1
[2,3,1,5,4]=>[2,3,1,4]=>1
[2,3,4,1,5]=>[2,3,4,1]=>1
[2,3,4,5,1]=>[2,3,4,1]=>1
[2,3,5,1,4]=>[2,3,1,4]=>1
[2,3,5,4,1]=>[2,3,4,1]=>1
[2,4,1,3,5]=>[2,4,1,3]=>1
[2,4,1,5,3]=>[2,4,1,3]=>1
[2,4,3,1,5]=>[2,4,3,1]=>1
[2,4,3,5,1]=>[2,4,3,1]=>1
[2,4,5,1,3]=>[2,4,1,3]=>1
[2,4,5,3,1]=>[2,4,3,1]=>1
[2,5,1,3,4]=>[2,1,3,4]=>1
[2,5,1,4,3]=>[2,1,4,3]=>1
[2,5,3,1,4]=>[2,3,1,4]=>1
[2,5,3,4,1]=>[2,3,4,1]=>1
[2,5,4,1,3]=>[2,4,1,3]=>1
[2,5,4,3,1]=>[2,4,3,1]=>1
[3,1,2,4,5]=>[3,1,2,4]=>1
[3,1,2,5,4]=>[3,1,2,4]=>1
[3,1,4,2,5]=>[3,1,4,2]=>1
[3,1,4,5,2]=>[3,1,4,2]=>1
[3,1,5,2,4]=>[3,1,2,4]=>1
[3,1,5,4,2]=>[3,1,4,2]=>1
[3,2,1,4,5]=>[3,2,1,4]=>1
[3,2,1,5,4]=>[3,2,1,4]=>1
[3,2,4,1,5]=>[3,2,4,1]=>1
[3,2,4,5,1]=>[3,2,4,1]=>1
[3,2,5,1,4]=>[3,2,1,4]=>1
[3,2,5,4,1]=>[3,2,4,1]=>1
[3,4,1,2,5]=>[3,4,1,2]=>2
[3,4,1,5,2]=>[3,4,1,2]=>2
[3,4,2,1,5]=>[3,4,2,1]=>1
[3,4,2,5,1]=>[3,4,2,1]=>1
[3,4,5,1,2]=>[3,4,1,2]=>2
[3,4,5,2,1]=>[3,4,2,1]=>1
[3,5,1,2,4]=>[3,1,2,4]=>1
[3,5,1,4,2]=>[3,1,4,2]=>1
[3,5,2,1,4]=>[3,2,1,4]=>1
[3,5,2,4,1]=>[3,2,4,1]=>1
[3,5,4,1,2]=>[3,4,1,2]=>2
[3,5,4,2,1]=>[3,4,2,1]=>1
[4,1,2,3,5]=>[4,1,2,3]=>1
[4,1,2,5,3]=>[4,1,2,3]=>1
[4,1,3,2,5]=>[4,1,3,2]=>1
[4,1,3,5,2]=>[4,1,3,2]=>1
[4,1,5,2,3]=>[4,1,2,3]=>1
[4,1,5,3,2]=>[4,1,3,2]=>1
[4,2,1,3,5]=>[4,2,1,3]=>1
[4,2,1,5,3]=>[4,2,1,3]=>1
[4,2,3,1,5]=>[4,2,3,1]=>2
[4,2,3,5,1]=>[4,2,3,1]=>2
[4,2,5,1,3]=>[4,2,1,3]=>1
[4,2,5,3,1]=>[4,2,3,1]=>2
[4,3,1,2,5]=>[4,3,1,2]=>1
[4,3,1,5,2]=>[4,3,1,2]=>1
[4,3,2,1,5]=>[4,3,2,1]=>1
[4,3,2,5,1]=>[4,3,2,1]=>1
[4,3,5,1,2]=>[4,3,1,2]=>1
[4,3,5,2,1]=>[4,3,2,1]=>1
[4,5,1,2,3]=>[4,1,2,3]=>1
[4,5,1,3,2]=>[4,1,3,2]=>1
[4,5,2,1,3]=>[4,2,1,3]=>1
[4,5,2,3,1]=>[4,2,3,1]=>2
[4,5,3,1,2]=>[4,3,1,2]=>1
[4,5,3,2,1]=>[4,3,2,1]=>1
[5,1,2,3,4]=>[1,2,3,4]=>1
[5,1,2,4,3]=>[1,2,4,3]=>1
[5,1,3,2,4]=>[1,3,2,4]=>1
[5,1,3,4,2]=>[1,3,4,2]=>1
[5,1,4,2,3]=>[1,4,2,3]=>1
[5,1,4,3,2]=>[1,4,3,2]=>1
[5,2,1,3,4]=>[2,1,3,4]=>1
[5,2,1,4,3]=>[2,1,4,3]=>1
[5,2,3,1,4]=>[2,3,1,4]=>1
[5,2,3,4,1]=>[2,3,4,1]=>1
[5,2,4,1,3]=>[2,4,1,3]=>1
[5,2,4,3,1]=>[2,4,3,1]=>1
[5,3,1,2,4]=>[3,1,2,4]=>1
[5,3,1,4,2]=>[3,1,4,2]=>1
[5,3,2,1,4]=>[3,2,1,4]=>1
[5,3,2,4,1]=>[3,2,4,1]=>1
[5,3,4,1,2]=>[3,4,1,2]=>2
[5,3,4,2,1]=>[3,4,2,1]=>1
[5,4,1,2,3]=>[4,1,2,3]=>1
[5,4,1,3,2]=>[4,1,3,2]=>1
[5,4,2,1,3]=>[4,2,1,3]=>1
[5,4,2,3,1]=>[4,2,3,1]=>2
[5,4,3,1,2]=>[4,3,1,2]=>1
[5,4,3,2,1]=>[4,3,2,1]=>1
[1,2,3,4,5,6]=>[1,2,3,4,5]=>1
[1,2,3,4,6,5]=>[1,2,3,4,5]=>1
[1,2,3,5,4,6]=>[1,2,3,5,4]=>1
[1,2,3,5,6,4]=>[1,2,3,5,4]=>1
[1,2,3,6,4,5]=>[1,2,3,4,5]=>1
[1,2,3,6,5,4]=>[1,2,3,5,4]=>1
[1,2,4,3,5,6]=>[1,2,4,3,5]=>1
[1,2,4,3,6,5]=>[1,2,4,3,5]=>1
[1,2,4,5,3,6]=>[1,2,4,5,3]=>1
[1,2,4,5,6,3]=>[1,2,4,5,3]=>1
[1,2,4,6,3,5]=>[1,2,4,3,5]=>1
[1,2,4,6,5,3]=>[1,2,4,5,3]=>1
[1,2,5,3,4,6]=>[1,2,5,3,4]=>1
[1,2,5,3,6,4]=>[1,2,5,3,4]=>1
[1,2,5,4,3,6]=>[1,2,5,4,3]=>1
[1,2,5,4,6,3]=>[1,2,5,4,3]=>1
[1,2,5,6,3,4]=>[1,2,5,3,4]=>1
[1,2,5,6,4,3]=>[1,2,5,4,3]=>1
[1,2,6,3,4,5]=>[1,2,3,4,5]=>1
[1,2,6,3,5,4]=>[1,2,3,5,4]=>1
[1,2,6,4,3,5]=>[1,2,4,3,5]=>1
[1,2,6,4,5,3]=>[1,2,4,5,3]=>1
[1,2,6,5,3,4]=>[1,2,5,3,4]=>1
[1,2,6,5,4,3]=>[1,2,5,4,3]=>1
[1,3,2,4,5,6]=>[1,3,2,4,5]=>1
[1,3,2,4,6,5]=>[1,3,2,4,5]=>1
[1,3,2,5,4,6]=>[1,3,2,5,4]=>1
[1,3,2,5,6,4]=>[1,3,2,5,4]=>1
[1,3,2,6,4,5]=>[1,3,2,4,5]=>1
[1,3,2,6,5,4]=>[1,3,2,5,4]=>1
[1,3,4,2,5,6]=>[1,3,4,2,5]=>1
[1,3,4,2,6,5]=>[1,3,4,2,5]=>1
[1,3,4,5,2,6]=>[1,3,4,5,2]=>1
[1,3,4,5,6,2]=>[1,3,4,5,2]=>1
[1,3,4,6,2,5]=>[1,3,4,2,5]=>1
[1,3,4,6,5,2]=>[1,3,4,5,2]=>1
[1,3,5,2,4,6]=>[1,3,5,2,4]=>1
[1,3,5,2,6,4]=>[1,3,5,2,4]=>1
[1,3,5,4,2,6]=>[1,3,5,4,2]=>1
[1,3,5,4,6,2]=>[1,3,5,4,2]=>1
[1,3,5,6,2,4]=>[1,3,5,2,4]=>1
[1,3,5,6,4,2]=>[1,3,5,4,2]=>1
[1,3,6,2,4,5]=>[1,3,2,4,5]=>1
[1,3,6,2,5,4]=>[1,3,2,5,4]=>1
[1,3,6,4,2,5]=>[1,3,4,2,5]=>1
[1,3,6,4,5,2]=>[1,3,4,5,2]=>1
[1,3,6,5,2,4]=>[1,3,5,2,4]=>1
[1,3,6,5,4,2]=>[1,3,5,4,2]=>1
[1,4,2,3,5,6]=>[1,4,2,3,5]=>1
[1,4,2,3,6,5]=>[1,4,2,3,5]=>1
[1,4,2,5,3,6]=>[1,4,2,5,3]=>1
[1,4,2,5,6,3]=>[1,4,2,5,3]=>1
[1,4,2,6,3,5]=>[1,4,2,3,5]=>1
[1,4,2,6,5,3]=>[1,4,2,5,3]=>1
[1,4,3,2,5,6]=>[1,4,3,2,5]=>1
[1,4,3,2,6,5]=>[1,4,3,2,5]=>1
[1,4,3,5,2,6]=>[1,4,3,5,2]=>1
[1,4,3,5,6,2]=>[1,4,3,5,2]=>1
[1,4,3,6,2,5]=>[1,4,3,2,5]=>1
[1,4,3,6,5,2]=>[1,4,3,5,2]=>1
[1,4,5,2,3,6]=>[1,4,5,2,3]=>2
[1,4,5,2,6,3]=>[1,4,5,2,3]=>2
[1,4,5,3,2,6]=>[1,4,5,3,2]=>1
[1,4,5,3,6,2]=>[1,4,5,3,2]=>1
[1,4,5,6,2,3]=>[1,4,5,2,3]=>2
[1,4,5,6,3,2]=>[1,4,5,3,2]=>1
[1,4,6,2,3,5]=>[1,4,2,3,5]=>1
[1,4,6,2,5,3]=>[1,4,2,5,3]=>1
[1,4,6,3,2,5]=>[1,4,3,2,5]=>1
[1,4,6,3,5,2]=>[1,4,3,5,2]=>1
[1,4,6,5,2,3]=>[1,4,5,2,3]=>2
[1,4,6,5,3,2]=>[1,4,5,3,2]=>1
[1,5,2,3,4,6]=>[1,5,2,3,4]=>1
[1,5,2,3,6,4]=>[1,5,2,3,4]=>1
[1,5,2,4,3,6]=>[1,5,2,4,3]=>1
[1,5,2,4,6,3]=>[1,5,2,4,3]=>1
[1,5,2,6,3,4]=>[1,5,2,3,4]=>1
[1,5,2,6,4,3]=>[1,5,2,4,3]=>1
[1,5,3,2,4,6]=>[1,5,3,2,4]=>1
[1,5,3,2,6,4]=>[1,5,3,2,4]=>1
[1,5,3,4,2,6]=>[1,5,3,4,2]=>2
[1,5,3,4,6,2]=>[1,5,3,4,2]=>2
[1,5,3,6,2,4]=>[1,5,3,2,4]=>1
[1,5,3,6,4,2]=>[1,5,3,4,2]=>2
[1,5,4,2,3,6]=>[1,5,4,2,3]=>1
[1,5,4,2,6,3]=>[1,5,4,2,3]=>1
[1,5,4,3,2,6]=>[1,5,4,3,2]=>1
[1,5,4,3,6,2]=>[1,5,4,3,2]=>1
[1,5,4,6,2,3]=>[1,5,4,2,3]=>1
[1,5,4,6,3,2]=>[1,5,4,3,2]=>1
[1,5,6,2,3,4]=>[1,5,2,3,4]=>1
[1,5,6,2,4,3]=>[1,5,2,4,3]=>1
[1,5,6,3,2,4]=>[1,5,3,2,4]=>1
[1,5,6,3,4,2]=>[1,5,3,4,2]=>2
[1,5,6,4,2,3]=>[1,5,4,2,3]=>1
[1,5,6,4,3,2]=>[1,5,4,3,2]=>1
[1,6,2,3,4,5]=>[1,2,3,4,5]=>1
[1,6,2,3,5,4]=>[1,2,3,5,4]=>1
[1,6,2,4,3,5]=>[1,2,4,3,5]=>1
[1,6,2,4,5,3]=>[1,2,4,5,3]=>1
[1,6,2,5,3,4]=>[1,2,5,3,4]=>1
[1,6,2,5,4,3]=>[1,2,5,4,3]=>1
[1,6,3,2,4,5]=>[1,3,2,4,5]=>1
[1,6,3,2,5,4]=>[1,3,2,5,4]=>1
[1,6,3,4,2,5]=>[1,3,4,2,5]=>1
[1,6,3,4,5,2]=>[1,3,4,5,2]=>1
[1,6,3,5,2,4]=>[1,3,5,2,4]=>1
[1,6,3,5,4,2]=>[1,3,5,4,2]=>1
[1,6,4,2,3,5]=>[1,4,2,3,5]=>1
[1,6,4,2,5,3]=>[1,4,2,5,3]=>1
[1,6,4,3,2,5]=>[1,4,3,2,5]=>1
[1,6,4,3,5,2]=>[1,4,3,5,2]=>1
[1,6,4,5,2,3]=>[1,4,5,2,3]=>2
[1,6,4,5,3,2]=>[1,4,5,3,2]=>1
[1,6,5,2,3,4]=>[1,5,2,3,4]=>1
[1,6,5,2,4,3]=>[1,5,2,4,3]=>1
[1,6,5,3,2,4]=>[1,5,3,2,4]=>1
[1,6,5,3,4,2]=>[1,5,3,4,2]=>2
[1,6,5,4,2,3]=>[1,5,4,2,3]=>1
[1,6,5,4,3,2]=>[1,5,4,3,2]=>1
[2,1,3,4,5,6]=>[2,1,3,4,5]=>1
[2,1,3,4,6,5]=>[2,1,3,4,5]=>1
[2,1,3,5,4,6]=>[2,1,3,5,4]=>1
[2,1,3,5,6,4]=>[2,1,3,5,4]=>1
[2,1,3,6,4,5]=>[2,1,3,4,5]=>1
[2,1,3,6,5,4]=>[2,1,3,5,4]=>1
[2,1,4,3,5,6]=>[2,1,4,3,5]=>1
[2,1,4,3,6,5]=>[2,1,4,3,5]=>1
[2,1,4,5,3,6]=>[2,1,4,5,3]=>1
[2,1,4,5,6,3]=>[2,1,4,5,3]=>1
[2,1,4,6,3,5]=>[2,1,4,3,5]=>1
[2,1,4,6,5,3]=>[2,1,4,5,3]=>1
[2,1,5,3,4,6]=>[2,1,5,3,4]=>1
[2,1,5,3,6,4]=>[2,1,5,3,4]=>1
[2,1,5,4,3,6]=>[2,1,5,4,3]=>1
[2,1,5,4,6,3]=>[2,1,5,4,3]=>1
[2,1,5,6,3,4]=>[2,1,5,3,4]=>1
[2,1,5,6,4,3]=>[2,1,5,4,3]=>1
[2,1,6,3,4,5]=>[2,1,3,4,5]=>1
[2,1,6,3,5,4]=>[2,1,3,5,4]=>1
[2,1,6,4,3,5]=>[2,1,4,3,5]=>1
[2,1,6,4,5,3]=>[2,1,4,5,3]=>1
[2,1,6,5,3,4]=>[2,1,5,3,4]=>1
[2,1,6,5,4,3]=>[2,1,5,4,3]=>1
[2,3,1,4,5,6]=>[2,3,1,4,5]=>1
[2,3,1,4,6,5]=>[2,3,1,4,5]=>1
[2,3,1,5,4,6]=>[2,3,1,5,4]=>1
[2,3,1,5,6,4]=>[2,3,1,5,4]=>1
[2,3,1,6,4,5]=>[2,3,1,4,5]=>1
[2,3,1,6,5,4]=>[2,3,1,5,4]=>1
[2,3,4,1,5,6]=>[2,3,4,1,5]=>1
[2,3,4,1,6,5]=>[2,3,4,1,5]=>1
[2,3,4,5,1,6]=>[2,3,4,5,1]=>1
[2,3,4,5,6,1]=>[2,3,4,5,1]=>1
[2,3,4,6,1,5]=>[2,3,4,1,5]=>1
[2,3,4,6,5,1]=>[2,3,4,5,1]=>1
[2,3,5,1,4,6]=>[2,3,5,1,4]=>1
[2,3,5,1,6,4]=>[2,3,5,1,4]=>1
[2,3,5,4,1,6]=>[2,3,5,4,1]=>1
[2,3,5,4,6,1]=>[2,3,5,4,1]=>1
[2,3,5,6,1,4]=>[2,3,5,1,4]=>1
[2,3,5,6,4,1]=>[2,3,5,4,1]=>1
[2,3,6,1,4,5]=>[2,3,1,4,5]=>1
[2,3,6,1,5,4]=>[2,3,1,5,4]=>1
[2,3,6,4,1,5]=>[2,3,4,1,5]=>1
[2,3,6,4,5,1]=>[2,3,4,5,1]=>1
[2,3,6,5,1,4]=>[2,3,5,1,4]=>1
[2,3,6,5,4,1]=>[2,3,5,4,1]=>1
[2,4,1,3,5,6]=>[2,4,1,3,5]=>1
[2,4,1,3,6,5]=>[2,4,1,3,5]=>1
[2,4,1,5,3,6]=>[2,4,1,5,3]=>1
[2,4,1,5,6,3]=>[2,4,1,5,3]=>1
[2,4,1,6,3,5]=>[2,4,1,3,5]=>1
[2,4,1,6,5,3]=>[2,4,1,5,3]=>1
[2,4,3,1,5,6]=>[2,4,3,1,5]=>1
[2,4,3,1,6,5]=>[2,4,3,1,5]=>1
[2,4,3,5,1,6]=>[2,4,3,5,1]=>1
[2,4,3,5,6,1]=>[2,4,3,5,1]=>1
[2,4,3,6,1,5]=>[2,4,3,1,5]=>1
[2,4,3,6,5,1]=>[2,4,3,5,1]=>1
[2,4,5,1,3,6]=>[2,4,5,1,3]=>2
[2,4,5,1,6,3]=>[2,4,5,1,3]=>2
[2,4,5,3,1,6]=>[2,4,5,3,1]=>1
[2,4,5,3,6,1]=>[2,4,5,3,1]=>1
[2,4,5,6,1,3]=>[2,4,5,1,3]=>2
[2,4,5,6,3,1]=>[2,4,5,3,1]=>1
[2,4,6,1,3,5]=>[2,4,1,3,5]=>1
[2,4,6,1,5,3]=>[2,4,1,5,3]=>1
[2,4,6,3,1,5]=>[2,4,3,1,5]=>1
[2,4,6,3,5,1]=>[2,4,3,5,1]=>1
[2,4,6,5,1,3]=>[2,4,5,1,3]=>2
[2,4,6,5,3,1]=>[2,4,5,3,1]=>1
[2,5,1,3,4,6]=>[2,5,1,3,4]=>1
[2,5,1,3,6,4]=>[2,5,1,3,4]=>1
[2,5,1,4,3,6]=>[2,5,1,4,3]=>1
[2,5,1,4,6,3]=>[2,5,1,4,3]=>1
[2,5,1,6,3,4]=>[2,5,1,3,4]=>1
[2,5,1,6,4,3]=>[2,5,1,4,3]=>1
[2,5,3,1,4,6]=>[2,5,3,1,4]=>1
[2,5,3,1,6,4]=>[2,5,3,1,4]=>1
[2,5,3,4,1,6]=>[2,5,3,4,1]=>2
[2,5,3,4,6,1]=>[2,5,3,4,1]=>2
[2,5,3,6,1,4]=>[2,5,3,1,4]=>1
[2,5,3,6,4,1]=>[2,5,3,4,1]=>2
[2,5,4,1,3,6]=>[2,5,4,1,3]=>1
[2,5,4,1,6,3]=>[2,5,4,1,3]=>1
[2,5,4,3,1,6]=>[2,5,4,3,1]=>1
[2,5,4,3,6,1]=>[2,5,4,3,1]=>1
[2,5,4,6,1,3]=>[2,5,4,1,3]=>1
[2,5,4,6,3,1]=>[2,5,4,3,1]=>1
[2,5,6,1,3,4]=>[2,5,1,3,4]=>1
[2,5,6,1,4,3]=>[2,5,1,4,3]=>1
[2,5,6,3,1,4]=>[2,5,3,1,4]=>1
[2,5,6,3,4,1]=>[2,5,3,4,1]=>2
[2,5,6,4,1,3]=>[2,5,4,1,3]=>1
[2,5,6,4,3,1]=>[2,5,4,3,1]=>1
[2,6,1,3,4,5]=>[2,1,3,4,5]=>1
[2,6,1,3,5,4]=>[2,1,3,5,4]=>1
[2,6,1,4,3,5]=>[2,1,4,3,5]=>1
[2,6,1,4,5,3]=>[2,1,4,5,3]=>1
[2,6,1,5,3,4]=>[2,1,5,3,4]=>1
[2,6,1,5,4,3]=>[2,1,5,4,3]=>1
[2,6,3,1,4,5]=>[2,3,1,4,5]=>1
[2,6,3,1,5,4]=>[2,3,1,5,4]=>1
[2,6,3,4,1,5]=>[2,3,4,1,5]=>1
[2,6,3,4,5,1]=>[2,3,4,5,1]=>1
[2,6,3,5,1,4]=>[2,3,5,1,4]=>1
[2,6,3,5,4,1]=>[2,3,5,4,1]=>1
[2,6,4,1,3,5]=>[2,4,1,3,5]=>1
[2,6,4,1,5,3]=>[2,4,1,5,3]=>1
[2,6,4,3,1,5]=>[2,4,3,1,5]=>1
[2,6,4,3,5,1]=>[2,4,3,5,1]=>1
[2,6,4,5,1,3]=>[2,4,5,1,3]=>2
[2,6,4,5,3,1]=>[2,4,5,3,1]=>1
[2,6,5,1,3,4]=>[2,5,1,3,4]=>1
[2,6,5,1,4,3]=>[2,5,1,4,3]=>1
[2,6,5,3,1,4]=>[2,5,3,1,4]=>1
[2,6,5,3,4,1]=>[2,5,3,4,1]=>2
[2,6,5,4,1,3]=>[2,5,4,1,3]=>1
[2,6,5,4,3,1]=>[2,5,4,3,1]=>1
[3,1,2,4,5,6]=>[3,1,2,4,5]=>1
[3,1,2,4,6,5]=>[3,1,2,4,5]=>1
[3,1,2,5,4,6]=>[3,1,2,5,4]=>1
[3,1,2,5,6,4]=>[3,1,2,5,4]=>1
[3,1,2,6,4,5]=>[3,1,2,4,5]=>1
[3,1,2,6,5,4]=>[3,1,2,5,4]=>1
[3,1,4,2,5,6]=>[3,1,4,2,5]=>1
[3,1,4,2,6,5]=>[3,1,4,2,5]=>1
[3,1,4,5,2,6]=>[3,1,4,5,2]=>1
[3,1,4,5,6,2]=>[3,1,4,5,2]=>1
[3,1,4,6,2,5]=>[3,1,4,2,5]=>1
[3,1,4,6,5,2]=>[3,1,4,5,2]=>1
[3,1,5,2,4,6]=>[3,1,5,2,4]=>1
[3,1,5,2,6,4]=>[3,1,5,2,4]=>1
[3,1,5,4,2,6]=>[3,1,5,4,2]=>1
[3,1,5,4,6,2]=>[3,1,5,4,2]=>1
[3,1,5,6,2,4]=>[3,1,5,2,4]=>1
[3,1,5,6,4,2]=>[3,1,5,4,2]=>1
[3,1,6,2,4,5]=>[3,1,2,4,5]=>1
[3,1,6,2,5,4]=>[3,1,2,5,4]=>1
[3,1,6,4,2,5]=>[3,1,4,2,5]=>1
[3,1,6,4,5,2]=>[3,1,4,5,2]=>1
[3,1,6,5,2,4]=>[3,1,5,2,4]=>1
[3,1,6,5,4,2]=>[3,1,5,4,2]=>1
[3,2,1,4,5,6]=>[3,2,1,4,5]=>1
[3,2,1,4,6,5]=>[3,2,1,4,5]=>1
[3,2,1,5,4,6]=>[3,2,1,5,4]=>1
[3,2,1,5,6,4]=>[3,2,1,5,4]=>1
[3,2,1,6,4,5]=>[3,2,1,4,5]=>1
[3,2,1,6,5,4]=>[3,2,1,5,4]=>1
[3,2,4,1,5,6]=>[3,2,4,1,5]=>1
[3,2,4,1,6,5]=>[3,2,4,1,5]=>1
[3,2,4,5,1,6]=>[3,2,4,5,1]=>1
[3,2,4,5,6,1]=>[3,2,4,5,1]=>1
[3,2,4,6,1,5]=>[3,2,4,1,5]=>1
[3,2,4,6,5,1]=>[3,2,4,5,1]=>1
[3,2,5,1,4,6]=>[3,2,5,1,4]=>1
[3,2,5,1,6,4]=>[3,2,5,1,4]=>1
[3,2,5,4,1,6]=>[3,2,5,4,1]=>1
[3,2,5,4,6,1]=>[3,2,5,4,1]=>1
[3,2,5,6,1,4]=>[3,2,5,1,4]=>1
[3,2,5,6,4,1]=>[3,2,5,4,1]=>1
[3,2,6,1,4,5]=>[3,2,1,4,5]=>1
[3,2,6,1,5,4]=>[3,2,1,5,4]=>1
[3,2,6,4,1,5]=>[3,2,4,1,5]=>1
[3,2,6,4,5,1]=>[3,2,4,5,1]=>1
[3,2,6,5,1,4]=>[3,2,5,1,4]=>1
[3,2,6,5,4,1]=>[3,2,5,4,1]=>1
[3,4,1,2,5,6]=>[3,4,1,2,5]=>2
[3,4,1,2,6,5]=>[3,4,1,2,5]=>2
[3,4,1,5,2,6]=>[3,4,1,5,2]=>2
[3,4,1,5,6,2]=>[3,4,1,5,2]=>2
[3,4,1,6,2,5]=>[3,4,1,2,5]=>2
[3,4,1,6,5,2]=>[3,4,1,5,2]=>2
[3,4,2,1,5,6]=>[3,4,2,1,5]=>1
[3,4,2,1,6,5]=>[3,4,2,1,5]=>1
[3,4,2,5,1,6]=>[3,4,2,5,1]=>1
[3,4,2,5,6,1]=>[3,4,2,5,1]=>1
[3,4,2,6,1,5]=>[3,4,2,1,5]=>1
[3,4,2,6,5,1]=>[3,4,2,5,1]=>1
[3,4,5,1,2,6]=>[3,4,5,1,2]=>3
[3,4,5,1,6,2]=>[3,4,5,1,2]=>3
[3,4,5,2,1,6]=>[3,4,5,2,1]=>1
[3,4,5,2,6,1]=>[3,4,5,2,1]=>1
[3,4,5,6,1,2]=>[3,4,5,1,2]=>3
[3,4,5,6,2,1]=>[3,4,5,2,1]=>1
[3,4,6,1,2,5]=>[3,4,1,2,5]=>2
[3,4,6,1,5,2]=>[3,4,1,5,2]=>2
[3,4,6,2,1,5]=>[3,4,2,1,5]=>1
[3,4,6,2,5,1]=>[3,4,2,5,1]=>1
[3,4,6,5,1,2]=>[3,4,5,1,2]=>3
[3,4,6,5,2,1]=>[3,4,5,2,1]=>1
[3,5,1,2,4,6]=>[3,5,1,2,4]=>2
[3,5,1,2,6,4]=>[3,5,1,2,4]=>2
[3,5,1,4,2,6]=>[3,5,1,4,2]=>2
[3,5,1,4,6,2]=>[3,5,1,4,2]=>2
[3,5,1,6,2,4]=>[3,5,1,2,4]=>2
[3,5,1,6,4,2]=>[3,5,1,4,2]=>2
[3,5,2,1,4,6]=>[3,5,2,1,4]=>1
[3,5,2,1,6,4]=>[3,5,2,1,4]=>1
[3,5,2,4,1,6]=>[3,5,2,4,1]=>2
[3,5,2,4,6,1]=>[3,5,2,4,1]=>2
[3,5,2,6,1,4]=>[3,5,2,1,4]=>1
[3,5,2,6,4,1]=>[3,5,2,4,1]=>2
[3,5,4,1,2,6]=>[3,5,4,1,2]=>2
[3,5,4,1,6,2]=>[3,5,4,1,2]=>2
[3,5,4,2,1,6]=>[3,5,4,2,1]=>1
[3,5,4,2,6,1]=>[3,5,4,2,1]=>1
[3,5,4,6,1,2]=>[3,5,4,1,2]=>2
[3,5,4,6,2,1]=>[3,5,4,2,1]=>1
[3,5,6,1,2,4]=>[3,5,1,2,4]=>2
[3,5,6,1,4,2]=>[3,5,1,4,2]=>2
[3,5,6,2,1,4]=>[3,5,2,1,4]=>1
[3,5,6,2,4,1]=>[3,5,2,4,1]=>2
[3,5,6,4,1,2]=>[3,5,4,1,2]=>2
[3,5,6,4,2,1]=>[3,5,4,2,1]=>1
[3,6,1,2,4,5]=>[3,1,2,4,5]=>1
[3,6,1,2,5,4]=>[3,1,2,5,4]=>1
[3,6,1,4,2,5]=>[3,1,4,2,5]=>1
[3,6,1,4,5,2]=>[3,1,4,5,2]=>1
[3,6,1,5,2,4]=>[3,1,5,2,4]=>1
[3,6,1,5,4,2]=>[3,1,5,4,2]=>1
[3,6,2,1,4,5]=>[3,2,1,4,5]=>1
[3,6,2,1,5,4]=>[3,2,1,5,4]=>1
[3,6,2,4,1,5]=>[3,2,4,1,5]=>1
[3,6,2,4,5,1]=>[3,2,4,5,1]=>1
[3,6,2,5,1,4]=>[3,2,5,1,4]=>1
[3,6,2,5,4,1]=>[3,2,5,4,1]=>1
[3,6,4,1,2,5]=>[3,4,1,2,5]=>2
[3,6,4,1,5,2]=>[3,4,1,5,2]=>2
[3,6,4,2,1,5]=>[3,4,2,1,5]=>1
[3,6,4,2,5,1]=>[3,4,2,5,1]=>1
[3,6,4,5,1,2]=>[3,4,5,1,2]=>3
[3,6,4,5,2,1]=>[3,4,5,2,1]=>1
[3,6,5,1,2,4]=>[3,5,1,2,4]=>2
[3,6,5,1,4,2]=>[3,5,1,4,2]=>2
[3,6,5,2,1,4]=>[3,5,2,1,4]=>1
[3,6,5,2,4,1]=>[3,5,2,4,1]=>2
[3,6,5,4,1,2]=>[3,5,4,1,2]=>2
[3,6,5,4,2,1]=>[3,5,4,2,1]=>1
[4,1,2,3,5,6]=>[4,1,2,3,5]=>1
[4,1,2,3,6,5]=>[4,1,2,3,5]=>1
[4,1,2,5,3,6]=>[4,1,2,5,3]=>1
[4,1,2,5,6,3]=>[4,1,2,5,3]=>1
[4,1,2,6,3,5]=>[4,1,2,3,5]=>1
[4,1,2,6,5,3]=>[4,1,2,5,3]=>1
[4,1,3,2,5,6]=>[4,1,3,2,5]=>1
[4,1,3,2,6,5]=>[4,1,3,2,5]=>1
[4,1,3,5,2,6]=>[4,1,3,5,2]=>1
[4,1,3,5,6,2]=>[4,1,3,5,2]=>1
[4,1,3,6,2,5]=>[4,1,3,2,5]=>1
[4,1,3,6,5,2]=>[4,1,3,5,2]=>1
[4,1,5,2,3,6]=>[4,1,5,2,3]=>2
[4,1,5,2,6,3]=>[4,1,5,2,3]=>2
[4,1,5,3,2,6]=>[4,1,5,3,2]=>1
[4,1,5,3,6,2]=>[4,1,5,3,2]=>1
[4,1,5,6,2,3]=>[4,1,5,2,3]=>2
[4,1,5,6,3,2]=>[4,1,5,3,2]=>1
[4,1,6,2,3,5]=>[4,1,2,3,5]=>1
[4,1,6,2,5,3]=>[4,1,2,5,3]=>1
[4,1,6,3,2,5]=>[4,1,3,2,5]=>1
[4,1,6,3,5,2]=>[4,1,3,5,2]=>1
[4,1,6,5,2,3]=>[4,1,5,2,3]=>2
[4,1,6,5,3,2]=>[4,1,5,3,2]=>1
[4,2,1,3,5,6]=>[4,2,1,3,5]=>1
[4,2,1,3,6,5]=>[4,2,1,3,5]=>1
[4,2,1,5,3,6]=>[4,2,1,5,3]=>1
[4,2,1,5,6,3]=>[4,2,1,5,3]=>1
[4,2,1,6,3,5]=>[4,2,1,3,5]=>1
[4,2,1,6,5,3]=>[4,2,1,5,3]=>1
[4,2,3,1,5,6]=>[4,2,3,1,5]=>2
[4,2,3,1,6,5]=>[4,2,3,1,5]=>2
[4,2,3,5,1,6]=>[4,2,3,5,1]=>2
[4,2,3,5,6,1]=>[4,2,3,5,1]=>2
[4,2,3,6,1,5]=>[4,2,3,1,5]=>2
[4,2,3,6,5,1]=>[4,2,3,5,1]=>2
[4,2,5,1,3,6]=>[4,2,5,1,3]=>2
[4,2,5,1,6,3]=>[4,2,5,1,3]=>2
[4,2,5,3,1,6]=>[4,2,5,3,1]=>2
[4,2,5,3,6,1]=>[4,2,5,3,1]=>2
[4,2,5,6,1,3]=>[4,2,5,1,3]=>2
[4,2,5,6,3,1]=>[4,2,5,3,1]=>2
[4,2,6,1,3,5]=>[4,2,1,3,5]=>1
[4,2,6,1,5,3]=>[4,2,1,5,3]=>1
[4,2,6,3,1,5]=>[4,2,3,1,5]=>2
[4,2,6,3,5,1]=>[4,2,3,5,1]=>2
[4,2,6,5,1,3]=>[4,2,5,1,3]=>2
[4,2,6,5,3,1]=>[4,2,5,3,1]=>2
[4,3,1,2,5,6]=>[4,3,1,2,5]=>1
[4,3,1,2,6,5]=>[4,3,1,2,5]=>1
[4,3,1,5,2,6]=>[4,3,1,5,2]=>1
[4,3,1,5,6,2]=>[4,3,1,5,2]=>1
[4,3,1,6,2,5]=>[4,3,1,2,5]=>1
[4,3,1,6,5,2]=>[4,3,1,5,2]=>1
[4,3,2,1,5,6]=>[4,3,2,1,5]=>1
[4,3,2,1,6,5]=>[4,3,2,1,5]=>1
[4,3,2,5,1,6]=>[4,3,2,5,1]=>1
[4,3,2,5,6,1]=>[4,3,2,5,1]=>1
[4,3,2,6,1,5]=>[4,3,2,1,5]=>1
[4,3,2,6,5,1]=>[4,3,2,5,1]=>1
[4,3,5,1,2,6]=>[4,3,5,1,2]=>2
[4,3,5,1,6,2]=>[4,3,5,1,2]=>2
[4,3,5,2,1,6]=>[4,3,5,2,1]=>1
[4,3,5,2,6,1]=>[4,3,5,2,1]=>1
[4,3,5,6,1,2]=>[4,3,5,1,2]=>2
[4,3,5,6,2,1]=>[4,3,5,2,1]=>1
[4,3,6,1,2,5]=>[4,3,1,2,5]=>1
[4,3,6,1,5,2]=>[4,3,1,5,2]=>1
[4,3,6,2,1,5]=>[4,3,2,1,5]=>1
[4,3,6,2,5,1]=>[4,3,2,5,1]=>1
[4,3,6,5,1,2]=>[4,3,5,1,2]=>2
[4,3,6,5,2,1]=>[4,3,5,2,1]=>1
[4,5,1,2,3,6]=>[4,5,1,2,3]=>3
[4,5,1,2,6,3]=>[4,5,1,2,3]=>3
[4,5,1,3,2,6]=>[4,5,1,3,2]=>2
[4,5,1,3,6,2]=>[4,5,1,3,2]=>2
[4,5,1,6,2,3]=>[4,5,1,2,3]=>3
[4,5,1,6,3,2]=>[4,5,1,3,2]=>2
[4,5,2,1,3,6]=>[4,5,2,1,3]=>2
[4,5,2,1,6,3]=>[4,5,2,1,3]=>2
[4,5,2,3,1,6]=>[4,5,2,3,1]=>3
[4,5,2,3,6,1]=>[4,5,2,3,1]=>3
[4,5,2,6,1,3]=>[4,5,2,1,3]=>2
[4,5,2,6,3,1]=>[4,5,2,3,1]=>3
[4,5,3,1,2,6]=>[4,5,3,1,2]=>2
[4,5,3,1,6,2]=>[4,5,3,1,2]=>2
[4,5,3,2,1,6]=>[4,5,3,2,1]=>1
[4,5,3,2,6,1]=>[4,5,3,2,1]=>1
[4,5,3,6,1,2]=>[4,5,3,1,2]=>2
[4,5,3,6,2,1]=>[4,5,3,2,1]=>1
[4,5,6,1,2,3]=>[4,5,1,2,3]=>3
[4,5,6,1,3,2]=>[4,5,1,3,2]=>2
[4,5,6,2,1,3]=>[4,5,2,1,3]=>2
[4,5,6,2,3,1]=>[4,5,2,3,1]=>3
[4,5,6,3,1,2]=>[4,5,3,1,2]=>2
[4,5,6,3,2,1]=>[4,5,3,2,1]=>1
[4,6,1,2,3,5]=>[4,1,2,3,5]=>1
[4,6,1,2,5,3]=>[4,1,2,5,3]=>1
[4,6,1,3,2,5]=>[4,1,3,2,5]=>1
[4,6,1,3,5,2]=>[4,1,3,5,2]=>1
[4,6,1,5,2,3]=>[4,1,5,2,3]=>2
[4,6,1,5,3,2]=>[4,1,5,3,2]=>1
[4,6,2,1,3,5]=>[4,2,1,3,5]=>1
[4,6,2,1,5,3]=>[4,2,1,5,3]=>1
[4,6,2,3,1,5]=>[4,2,3,1,5]=>2
[4,6,2,3,5,1]=>[4,2,3,5,1]=>2
[4,6,2,5,1,3]=>[4,2,5,1,3]=>2
[4,6,2,5,3,1]=>[4,2,5,3,1]=>2
[4,6,3,1,2,5]=>[4,3,1,2,5]=>1
[4,6,3,1,5,2]=>[4,3,1,5,2]=>1
[4,6,3,2,1,5]=>[4,3,2,1,5]=>1
[4,6,3,2,5,1]=>[4,3,2,5,1]=>1
[4,6,3,5,1,2]=>[4,3,5,1,2]=>2
[4,6,3,5,2,1]=>[4,3,5,2,1]=>1
[4,6,5,1,2,3]=>[4,5,1,2,3]=>3
[4,6,5,1,3,2]=>[4,5,1,3,2]=>2
[4,6,5,2,1,3]=>[4,5,2,1,3]=>2
[4,6,5,2,3,1]=>[4,5,2,3,1]=>3
[4,6,5,3,1,2]=>[4,5,3,1,2]=>2
[4,6,5,3,2,1]=>[4,5,3,2,1]=>1
[5,1,2,3,4,6]=>[5,1,2,3,4]=>1
[5,1,2,3,6,4]=>[5,1,2,3,4]=>1
[5,1,2,4,3,6]=>[5,1,2,4,3]=>1
[5,1,2,4,6,3]=>[5,1,2,4,3]=>1
[5,1,2,6,3,4]=>[5,1,2,3,4]=>1
[5,1,2,6,4,3]=>[5,1,2,4,3]=>1
[5,1,3,2,4,6]=>[5,1,3,2,4]=>1
[5,1,3,2,6,4]=>[5,1,3,2,4]=>1
[5,1,3,4,2,6]=>[5,1,3,4,2]=>2
[5,1,3,4,6,2]=>[5,1,3,4,2]=>2
[5,1,3,6,2,4]=>[5,1,3,2,4]=>1
[5,1,3,6,4,2]=>[5,1,3,4,2]=>2
[5,1,4,2,3,6]=>[5,1,4,2,3]=>1
[5,1,4,2,6,3]=>[5,1,4,2,3]=>1
[5,1,4,3,2,6]=>[5,1,4,3,2]=>1
[5,1,4,3,6,2]=>[5,1,4,3,2]=>1
[5,1,4,6,2,3]=>[5,1,4,2,3]=>1
[5,1,4,6,3,2]=>[5,1,4,3,2]=>1
[5,1,6,2,3,4]=>[5,1,2,3,4]=>1
[5,1,6,2,4,3]=>[5,1,2,4,3]=>1
[5,1,6,3,2,4]=>[5,1,3,2,4]=>1
[5,1,6,3,4,2]=>[5,1,3,4,2]=>2
[5,1,6,4,2,3]=>[5,1,4,2,3]=>1
[5,1,6,4,3,2]=>[5,1,4,3,2]=>1
[5,2,1,3,4,6]=>[5,2,1,3,4]=>1
[5,2,1,3,6,4]=>[5,2,1,3,4]=>1
[5,2,1,4,3,6]=>[5,2,1,4,3]=>1
[5,2,1,4,6,3]=>[5,2,1,4,3]=>1
[5,2,1,6,3,4]=>[5,2,1,3,4]=>1
[5,2,1,6,4,3]=>[5,2,1,4,3]=>1
[5,2,3,1,4,6]=>[5,2,3,1,4]=>2
[5,2,3,1,6,4]=>[5,2,3,1,4]=>2
[5,2,3,4,1,6]=>[5,2,3,4,1]=>4
[5,2,3,4,6,1]=>[5,2,3,4,1]=>4
[5,2,3,6,1,4]=>[5,2,3,1,4]=>2
[5,2,3,6,4,1]=>[5,2,3,4,1]=>4
[5,2,4,1,3,6]=>[5,2,4,1,3]=>2
[5,2,4,1,6,3]=>[5,2,4,1,3]=>2
[5,2,4,3,1,6]=>[5,2,4,3,1]=>2
[5,2,4,3,6,1]=>[5,2,4,3,1]=>2
[5,2,4,6,1,3]=>[5,2,4,1,3]=>2
[5,2,4,6,3,1]=>[5,2,4,3,1]=>2
[5,2,6,1,3,4]=>[5,2,1,3,4]=>1
[5,2,6,1,4,3]=>[5,2,1,4,3]=>1
[5,2,6,3,1,4]=>[5,2,3,1,4]=>2
[5,2,6,3,4,1]=>[5,2,3,4,1]=>4
[5,2,6,4,1,3]=>[5,2,4,1,3]=>2
[5,2,6,4,3,1]=>[5,2,4,3,1]=>2
[5,3,1,2,4,6]=>[5,3,1,2,4]=>1
[5,3,1,2,6,4]=>[5,3,1,2,4]=>1
[5,3,1,4,2,6]=>[5,3,1,4,2]=>2
[5,3,1,4,6,2]=>[5,3,1,4,2]=>2
[5,3,1,6,2,4]=>[5,3,1,2,4]=>1
[5,3,1,6,4,2]=>[5,3,1,4,2]=>2
[5,3,2,1,4,6]=>[5,3,2,1,4]=>1
[5,3,2,1,6,4]=>[5,3,2,1,4]=>1
[5,3,2,4,1,6]=>[5,3,2,4,1]=>2
[5,3,2,4,6,1]=>[5,3,2,4,1]=>2
[5,3,2,6,1,4]=>[5,3,2,1,4]=>1
[5,3,2,6,4,1]=>[5,3,2,4,1]=>2
[5,3,4,1,2,6]=>[5,3,4,1,2]=>3
[5,3,4,1,6,2]=>[5,3,4,1,2]=>3
[5,3,4,2,1,6]=>[5,3,4,2,1]=>2
[5,3,4,2,6,1]=>[5,3,4,2,1]=>2
[5,3,4,6,1,2]=>[5,3,4,1,2]=>3
[5,3,4,6,2,1]=>[5,3,4,2,1]=>2
[5,3,6,1,2,4]=>[5,3,1,2,4]=>1
[5,3,6,1,4,2]=>[5,3,1,4,2]=>2
[5,3,6,2,1,4]=>[5,3,2,1,4]=>1
[5,3,6,2,4,1]=>[5,3,2,4,1]=>2
[5,3,6,4,1,2]=>[5,3,4,1,2]=>3
[5,3,6,4,2,1]=>[5,3,4,2,1]=>2
[5,4,1,2,3,6]=>[5,4,1,2,3]=>1
[5,4,1,2,6,3]=>[5,4,1,2,3]=>1
[5,4,1,3,2,6]=>[5,4,1,3,2]=>1
[5,4,1,3,6,2]=>[5,4,1,3,2]=>1
[5,4,1,6,2,3]=>[5,4,1,2,3]=>1
[5,4,1,6,3,2]=>[5,4,1,3,2]=>1
[5,4,2,1,3,6]=>[5,4,2,1,3]=>1
[5,4,2,1,6,3]=>[5,4,2,1,3]=>1
[5,4,2,3,1,6]=>[5,4,2,3,1]=>2
[5,4,2,3,6,1]=>[5,4,2,3,1]=>2
[5,4,2,6,1,3]=>[5,4,2,1,3]=>1
[5,4,2,6,3,1]=>[5,4,2,3,1]=>2
[5,4,3,1,2,6]=>[5,4,3,1,2]=>1
[5,4,3,1,6,2]=>[5,4,3,1,2]=>1
[5,4,3,2,1,6]=>[5,4,3,2,1]=>1
[5,4,3,2,6,1]=>[5,4,3,2,1]=>1
[5,4,3,6,1,2]=>[5,4,3,1,2]=>1
[5,4,3,6,2,1]=>[5,4,3,2,1]=>1
[5,4,6,1,2,3]=>[5,4,1,2,3]=>1
[5,4,6,1,3,2]=>[5,4,1,3,2]=>1
[5,4,6,2,1,3]=>[5,4,2,1,3]=>1
[5,4,6,2,3,1]=>[5,4,2,3,1]=>2
[5,4,6,3,1,2]=>[5,4,3,1,2]=>1
[5,4,6,3,2,1]=>[5,4,3,2,1]=>1
[5,6,1,2,3,4]=>[5,1,2,3,4]=>1
[5,6,1,2,4,3]=>[5,1,2,4,3]=>1
[5,6,1,3,2,4]=>[5,1,3,2,4]=>1
[5,6,1,3,4,2]=>[5,1,3,4,2]=>2
[5,6,1,4,2,3]=>[5,1,4,2,3]=>1
[5,6,1,4,3,2]=>[5,1,4,3,2]=>1
[5,6,2,1,3,4]=>[5,2,1,3,4]=>1
[5,6,2,1,4,3]=>[5,2,1,4,3]=>1
[5,6,2,3,1,4]=>[5,2,3,1,4]=>2
[5,6,2,3,4,1]=>[5,2,3,4,1]=>4
[5,6,2,4,1,3]=>[5,2,4,1,3]=>2
[5,6,2,4,3,1]=>[5,2,4,3,1]=>2
[5,6,3,1,2,4]=>[5,3,1,2,4]=>1
[5,6,3,1,4,2]=>[5,3,1,4,2]=>2
[5,6,3,2,1,4]=>[5,3,2,1,4]=>1
[5,6,3,2,4,1]=>[5,3,2,4,1]=>2
[5,6,3,4,1,2]=>[5,3,4,1,2]=>3
[5,6,3,4,2,1]=>[5,3,4,2,1]=>2
[5,6,4,1,2,3]=>[5,4,1,2,3]=>1
[5,6,4,1,3,2]=>[5,4,1,3,2]=>1
[5,6,4,2,1,3]=>[5,4,2,1,3]=>1
[5,6,4,2,3,1]=>[5,4,2,3,1]=>2
[5,6,4,3,1,2]=>[5,4,3,1,2]=>1
[5,6,4,3,2,1]=>[5,4,3,2,1]=>1
[6,1,2,3,4,5]=>[1,2,3,4,5]=>1
[6,1,2,3,5,4]=>[1,2,3,5,4]=>1
[6,1,2,4,3,5]=>[1,2,4,3,5]=>1
[6,1,2,4,5,3]=>[1,2,4,5,3]=>1
[6,1,2,5,3,4]=>[1,2,5,3,4]=>1
[6,1,2,5,4,3]=>[1,2,5,4,3]=>1
[6,1,3,2,4,5]=>[1,3,2,4,5]=>1
[6,1,3,2,5,4]=>[1,3,2,5,4]=>1
[6,1,3,4,2,5]=>[1,3,4,2,5]=>1
[6,1,3,4,5,2]=>[1,3,4,5,2]=>1
[6,1,3,5,2,4]=>[1,3,5,2,4]=>1
[6,1,3,5,4,2]=>[1,3,5,4,2]=>1
[6,1,4,2,3,5]=>[1,4,2,3,5]=>1
[6,1,4,2,5,3]=>[1,4,2,5,3]=>1
[6,1,4,3,2,5]=>[1,4,3,2,5]=>1
[6,1,4,3,5,2]=>[1,4,3,5,2]=>1
[6,1,4,5,2,3]=>[1,4,5,2,3]=>2
[6,1,4,5,3,2]=>[1,4,5,3,2]=>1
[6,1,5,2,3,4]=>[1,5,2,3,4]=>1
[6,1,5,2,4,3]=>[1,5,2,4,3]=>1
[6,1,5,3,2,4]=>[1,5,3,2,4]=>1
[6,1,5,3,4,2]=>[1,5,3,4,2]=>2
[6,1,5,4,2,3]=>[1,5,4,2,3]=>1
[6,1,5,4,3,2]=>[1,5,4,3,2]=>1
[6,2,1,3,4,5]=>[2,1,3,4,5]=>1
[6,2,1,3,5,4]=>[2,1,3,5,4]=>1
[6,2,1,4,3,5]=>[2,1,4,3,5]=>1
[6,2,1,4,5,3]=>[2,1,4,5,3]=>1
[6,2,1,5,3,4]=>[2,1,5,3,4]=>1
[6,2,1,5,4,3]=>[2,1,5,4,3]=>1
[6,2,3,1,4,5]=>[2,3,1,4,5]=>1
[6,2,3,1,5,4]=>[2,3,1,5,4]=>1
[6,2,3,4,1,5]=>[2,3,4,1,5]=>1
[6,2,3,4,5,1]=>[2,3,4,5,1]=>1
[6,2,3,5,1,4]=>[2,3,5,1,4]=>1
[6,2,3,5,4,1]=>[2,3,5,4,1]=>1
[6,2,4,1,3,5]=>[2,4,1,3,5]=>1
[6,2,4,1,5,3]=>[2,4,1,5,3]=>1
[6,2,4,3,1,5]=>[2,4,3,1,5]=>1
[6,2,4,3,5,1]=>[2,4,3,5,1]=>1
[6,2,4,5,1,3]=>[2,4,5,1,3]=>2
[6,2,4,5,3,1]=>[2,4,5,3,1]=>1
[6,2,5,1,3,4]=>[2,5,1,3,4]=>1
[6,2,5,1,4,3]=>[2,5,1,4,3]=>1
[6,2,5,3,1,4]=>[2,5,3,1,4]=>1
[6,2,5,3,4,1]=>[2,5,3,4,1]=>2
[6,2,5,4,1,3]=>[2,5,4,1,3]=>1
[6,2,5,4,3,1]=>[2,5,4,3,1]=>1
[6,3,1,2,4,5]=>[3,1,2,4,5]=>1
[6,3,1,2,5,4]=>[3,1,2,5,4]=>1
[6,3,1,4,2,5]=>[3,1,4,2,5]=>1
[6,3,1,4,5,2]=>[3,1,4,5,2]=>1
[6,3,1,5,2,4]=>[3,1,5,2,4]=>1
[6,3,1,5,4,2]=>[3,1,5,4,2]=>1
[6,3,2,1,4,5]=>[3,2,1,4,5]=>1
[6,3,2,1,5,4]=>[3,2,1,5,4]=>1
[6,3,2,4,1,5]=>[3,2,4,1,5]=>1
[6,3,2,4,5,1]=>[3,2,4,5,1]=>1
[6,3,2,5,1,4]=>[3,2,5,1,4]=>1
[6,3,2,5,4,1]=>[3,2,5,4,1]=>1
[6,3,4,1,2,5]=>[3,4,1,2,5]=>2
[6,3,4,1,5,2]=>[3,4,1,5,2]=>2
[6,3,4,2,1,5]=>[3,4,2,1,5]=>1
[6,3,4,2,5,1]=>[3,4,2,5,1]=>1
[6,3,4,5,1,2]=>[3,4,5,1,2]=>3
[6,3,4,5,2,1]=>[3,4,5,2,1]=>1
[6,3,5,1,2,4]=>[3,5,1,2,4]=>2
[6,3,5,1,4,2]=>[3,5,1,4,2]=>2
[6,3,5,2,1,4]=>[3,5,2,1,4]=>1
[6,3,5,2,4,1]=>[3,5,2,4,1]=>2
[6,3,5,4,1,2]=>[3,5,4,1,2]=>2
[6,3,5,4,2,1]=>[3,5,4,2,1]=>1
[6,4,1,2,3,5]=>[4,1,2,3,5]=>1
[6,4,1,2,5,3]=>[4,1,2,5,3]=>1
[6,4,1,3,2,5]=>[4,1,3,2,5]=>1
[6,4,1,3,5,2]=>[4,1,3,5,2]=>1
[6,4,1,5,2,3]=>[4,1,5,2,3]=>2
[6,4,1,5,3,2]=>[4,1,5,3,2]=>1
[6,4,2,1,3,5]=>[4,2,1,3,5]=>1
[6,4,2,1,5,3]=>[4,2,1,5,3]=>1
[6,4,2,3,1,5]=>[4,2,3,1,5]=>2
[6,4,2,3,5,1]=>[4,2,3,5,1]=>2
[6,4,2,5,1,3]=>[4,2,5,1,3]=>2
[6,4,2,5,3,1]=>[4,2,5,3,1]=>2
[6,4,3,1,2,5]=>[4,3,1,2,5]=>1
[6,4,3,1,5,2]=>[4,3,1,5,2]=>1
[6,4,3,2,1,5]=>[4,3,2,1,5]=>1
[6,4,3,2,5,1]=>[4,3,2,5,1]=>1
[6,4,3,5,1,2]=>[4,3,5,1,2]=>2
[6,4,3,5,2,1]=>[4,3,5,2,1]=>1
[6,4,5,1,2,3]=>[4,5,1,2,3]=>3
[6,4,5,1,3,2]=>[4,5,1,3,2]=>2
[6,4,5,2,1,3]=>[4,5,2,1,3]=>2
[6,4,5,2,3,1]=>[4,5,2,3,1]=>3
[6,4,5,3,1,2]=>[4,5,3,1,2]=>2
[6,4,5,3,2,1]=>[4,5,3,2,1]=>1
[6,5,1,2,3,4]=>[5,1,2,3,4]=>1
[6,5,1,2,4,3]=>[5,1,2,4,3]=>1
[6,5,1,3,2,4]=>[5,1,3,2,4]=>1
[6,5,1,3,4,2]=>[5,1,3,4,2]=>2
[6,5,1,4,2,3]=>[5,1,4,2,3]=>1
[6,5,1,4,3,2]=>[5,1,4,3,2]=>1
[6,5,2,1,3,4]=>[5,2,1,3,4]=>1
[6,5,2,1,4,3]=>[5,2,1,4,3]=>1
[6,5,2,3,1,4]=>[5,2,3,1,4]=>2
[6,5,2,3,4,1]=>[5,2,3,4,1]=>4
[6,5,2,4,1,3]=>[5,2,4,1,3]=>2
[6,5,2,4,3,1]=>[5,2,4,3,1]=>2
[6,5,3,1,2,4]=>[5,3,1,2,4]=>1
[6,5,3,1,4,2]=>[5,3,1,4,2]=>2
[6,5,3,2,1,4]=>[5,3,2,1,4]=>1
[6,5,3,2,4,1]=>[5,3,2,4,1]=>2
[6,5,3,4,1,2]=>[5,3,4,1,2]=>3
[6,5,3,4,2,1]=>[5,3,4,2,1]=>2
[6,5,4,1,2,3]=>[5,4,1,2,3]=>1
[6,5,4,1,3,2]=>[5,4,1,3,2]=>1
[6,5,4,2,1,3]=>[5,4,2,1,3]=>1
[6,5,4,2,3,1]=>[5,4,2,3,1]=>2
[6,5,4,3,1,2]=>[5,4,3,1,2]=>1
[6,5,4,3,2,1]=>[5,4,3,2,1]=>1
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6]=>1
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6]=>1
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5]=>1
[1,2,3,4,6,7,5]=>[1,2,3,4,6,5]=>1
[1,2,3,4,7,5,6]=>[1,2,3,4,5,6]=>1
[1,2,3,4,7,6,5]=>[1,2,3,4,6,5]=>1
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6]=>1
[1,2,3,5,4,7,6]=>[1,2,3,5,4,6]=>1
[1,2,3,5,6,4,7]=>[1,2,3,5,6,4]=>1
[1,2,3,5,6,7,4]=>[1,2,3,5,6,4]=>1
[1,2,3,5,7,4,6]=>[1,2,3,5,4,6]=>1
[1,2,3,5,7,6,4]=>[1,2,3,5,6,4]=>1
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5]=>1
[1,2,3,6,4,7,5]=>[1,2,3,6,4,5]=>1
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4]=>1
[1,2,3,6,5,7,4]=>[1,2,3,6,5,4]=>1
[1,2,3,6,7,4,5]=>[1,2,3,6,4,5]=>1
[1,2,3,6,7,5,4]=>[1,2,3,6,5,4]=>1
[1,2,3,7,4,5,6]=>[1,2,3,4,5,6]=>1
[1,2,3,7,4,6,5]=>[1,2,3,4,6,5]=>1
[1,2,3,7,5,4,6]=>[1,2,3,5,4,6]=>1
[1,2,3,7,5,6,4]=>[1,2,3,5,6,4]=>1
[1,2,3,7,6,4,5]=>[1,2,3,6,4,5]=>1
[1,2,3,7,6,5,4]=>[1,2,3,6,5,4]=>1
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6]=>1
[1,2,4,3,5,7,6]=>[1,2,4,3,5,6]=>1
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5]=>1
[1,2,4,3,6,7,5]=>[1,2,4,3,6,5]=>1
[1,2,4,3,7,5,6]=>[1,2,4,3,5,6]=>1
[1,2,4,3,7,6,5]=>[1,2,4,3,6,5]=>1
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6]=>1
[1,2,4,5,3,7,6]=>[1,2,4,5,3,6]=>1
[1,2,4,5,6,3,7]=>[1,2,4,5,6,3]=>1
[1,2,4,5,6,7,3]=>[1,2,4,5,6,3]=>1
[1,2,4,5,7,3,6]=>[1,2,4,5,3,6]=>1
[1,2,4,5,7,6,3]=>[1,2,4,5,6,3]=>1
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5]=>1
[1,2,4,6,3,7,5]=>[1,2,4,6,3,5]=>1
[1,2,4,6,5,3,7]=>[1,2,4,6,5,3]=>1
[1,2,4,6,5,7,3]=>[1,2,4,6,5,3]=>1
[1,2,4,6,7,3,5]=>[1,2,4,6,3,5]=>1
[1,2,4,6,7,5,3]=>[1,2,4,6,5,3]=>1
[1,2,4,7,3,5,6]=>[1,2,4,3,5,6]=>1
[1,2,4,7,3,6,5]=>[1,2,4,3,6,5]=>1
[1,2,4,7,5,3,6]=>[1,2,4,5,3,6]=>1
[1,2,4,7,5,6,3]=>[1,2,4,5,6,3]=>1
[1,2,4,7,6,3,5]=>[1,2,4,6,3,5]=>1
[1,2,4,7,6,5,3]=>[1,2,4,6,5,3]=>1
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6]=>1
[1,2,5,3,4,7,6]=>[1,2,5,3,4,6]=>1
[1,2,5,3,6,4,7]=>[1,2,5,3,6,4]=>1
[1,2,5,3,6,7,4]=>[1,2,5,3,6,4]=>1
[1,2,5,3,7,4,6]=>[1,2,5,3,4,6]=>1
[1,2,5,3,7,6,4]=>[1,2,5,3,6,4]=>1
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6]=>1
[1,2,5,4,3,7,6]=>[1,2,5,4,3,6]=>1
[1,2,5,4,6,3,7]=>[1,2,5,4,6,3]=>1
[1,2,5,4,6,7,3]=>[1,2,5,4,6,3]=>1
[1,2,5,4,7,3,6]=>[1,2,5,4,3,6]=>1
[1,2,5,4,7,6,3]=>[1,2,5,4,6,3]=>1
[1,2,5,6,3,4,7]=>[1,2,5,6,3,4]=>2
[1,2,5,6,3,7,4]=>[1,2,5,6,3,4]=>2
[1,2,5,6,4,3,7]=>[1,2,5,6,4,3]=>1
[1,2,5,6,4,7,3]=>[1,2,5,6,4,3]=>1
[1,2,5,6,7,3,4]=>[1,2,5,6,3,4]=>2
[1,2,5,6,7,4,3]=>[1,2,5,6,4,3]=>1
[1,2,5,7,3,4,6]=>[1,2,5,3,4,6]=>1
[1,2,5,7,3,6,4]=>[1,2,5,3,6,4]=>1
[1,2,5,7,4,3,6]=>[1,2,5,4,3,6]=>1
[1,2,5,7,4,6,3]=>[1,2,5,4,6,3]=>1
[1,2,5,7,6,3,4]=>[1,2,5,6,3,4]=>2
[1,2,5,7,6,4,3]=>[1,2,5,6,4,3]=>1
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5]=>1
[1,2,6,3,4,7,5]=>[1,2,6,3,4,5]=>1
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4]=>1
[1,2,6,3,5,7,4]=>[1,2,6,3,5,4]=>1
[1,2,6,3,7,4,5]=>[1,2,6,3,4,5]=>1
[1,2,6,3,7,5,4]=>[1,2,6,3,5,4]=>1
[1,2,6,4,3,5,7]=>[1,2,6,4,3,5]=>1
[1,2,6,4,3,7,5]=>[1,2,6,4,3,5]=>1
[1,2,6,4,5,3,7]=>[1,2,6,4,5,3]=>2
[1,2,6,4,5,7,3]=>[1,2,6,4,5,3]=>2
[1,2,6,4,7,3,5]=>[1,2,6,4,3,5]=>1
[1,2,6,4,7,5,3]=>[1,2,6,4,5,3]=>2
[1,2,6,5,3,4,7]=>[1,2,6,5,3,4]=>1
[1,2,6,5,3,7,4]=>[1,2,6,5,3,4]=>1
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3]=>1
[1,2,6,5,4,7,3]=>[1,2,6,5,4,3]=>1
[1,2,6,5,7,3,4]=>[1,2,6,5,3,4]=>1
[1,2,6,5,7,4,3]=>[1,2,6,5,4,3]=>1
[1,2,6,7,3,4,5]=>[1,2,6,3,4,5]=>1
[1,2,6,7,3,5,4]=>[1,2,6,3,5,4]=>1
[1,2,6,7,4,3,5]=>[1,2,6,4,3,5]=>1
[1,2,6,7,4,5,3]=>[1,2,6,4,5,3]=>2
[1,2,6,7,5,3,4]=>[1,2,6,5,3,4]=>1
[1,2,6,7,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,7,3,4,5,6]=>[1,2,3,4,5,6]=>1
[1,2,7,3,4,6,5]=>[1,2,3,4,6,5]=>1
[1,2,7,3,5,4,6]=>[1,2,3,5,4,6]=>1
[1,2,7,3,5,6,4]=>[1,2,3,5,6,4]=>1
[1,2,7,3,6,4,5]=>[1,2,3,6,4,5]=>1
[1,2,7,3,6,5,4]=>[1,2,3,6,5,4]=>1
[1,2,7,4,3,5,6]=>[1,2,4,3,5,6]=>1
[1,2,7,4,3,6,5]=>[1,2,4,3,6,5]=>1
[1,2,7,4,5,3,6]=>[1,2,4,5,3,6]=>1
[1,2,7,4,5,6,3]=>[1,2,4,5,6,3]=>1
[1,2,7,4,6,3,5]=>[1,2,4,6,3,5]=>1
[1,2,7,4,6,5,3]=>[1,2,4,6,5,3]=>1
[1,2,7,5,3,4,6]=>[1,2,5,3,4,6]=>1
[1,2,7,5,3,6,4]=>[1,2,5,3,6,4]=>1
[1,2,7,5,4,3,6]=>[1,2,5,4,3,6]=>1
[1,2,7,5,4,6,3]=>[1,2,5,4,6,3]=>1
[1,2,7,5,6,3,4]=>[1,2,5,6,3,4]=>2
[1,2,7,5,6,4,3]=>[1,2,5,6,4,3]=>1
[1,2,7,6,3,4,5]=>[1,2,6,3,4,5]=>1
[1,2,7,6,3,5,4]=>[1,2,6,3,5,4]=>1
[1,2,7,6,4,3,5]=>[1,2,6,4,3,5]=>1
[1,2,7,6,4,5,3]=>[1,2,6,4,5,3]=>2
[1,2,7,6,5,3,4]=>[1,2,6,5,3,4]=>1
[1,2,7,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6]=>1
[1,3,2,4,5,7,6]=>[1,3,2,4,5,6]=>1
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5]=>1
[1,3,2,4,6,7,5]=>[1,3,2,4,6,5]=>1
[1,3,2,4,7,5,6]=>[1,3,2,4,5,6]=>1
[1,3,2,4,7,6,5]=>[1,3,2,4,6,5]=>1
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6]=>1
[1,3,2,5,4,7,6]=>[1,3,2,5,4,6]=>1
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4]=>1
[1,3,2,5,6,7,4]=>[1,3,2,5,6,4]=>1
[1,3,2,5,7,4,6]=>[1,3,2,5,4,6]=>1
[1,3,2,5,7,6,4]=>[1,3,2,5,6,4]=>1
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5]=>1
[1,3,2,6,4,7,5]=>[1,3,2,6,4,5]=>1
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4]=>1
[1,3,2,6,5,7,4]=>[1,3,2,6,5,4]=>1
[1,3,2,6,7,4,5]=>[1,3,2,6,4,5]=>1
[1,3,2,6,7,5,4]=>[1,3,2,6,5,4]=>1
[1,3,2,7,4,5,6]=>[1,3,2,4,5,6]=>1
[1,3,2,7,4,6,5]=>[1,3,2,4,6,5]=>1
[1,3,2,7,5,4,6]=>[1,3,2,5,4,6]=>1
[1,3,2,7,5,6,4]=>[1,3,2,5,6,4]=>1
[1,3,2,7,6,4,5]=>[1,3,2,6,4,5]=>1
[1,3,2,7,6,5,4]=>[1,3,2,6,5,4]=>1
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6]=>1
[1,3,4,2,5,7,6]=>[1,3,4,2,5,6]=>1
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5]=>1
[1,3,4,2,6,7,5]=>[1,3,4,2,6,5]=>1
[1,3,4,2,7,5,6]=>[1,3,4,2,5,6]=>1
[1,3,4,2,7,6,5]=>[1,3,4,2,6,5]=>1
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6]=>1
[1,3,4,5,2,7,6]=>[1,3,4,5,2,6]=>1
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2]=>1
[1,3,4,5,6,7,2]=>[1,3,4,5,6,2]=>1
[1,3,4,5,7,2,6]=>[1,3,4,5,2,6]=>1
[1,3,4,5,7,6,2]=>[1,3,4,5,6,2]=>1
[1,3,4,6,2,5,7]=>[1,3,4,6,2,5]=>1
[1,3,4,6,2,7,5]=>[1,3,4,6,2,5]=>1
[1,3,4,6,5,2,7]=>[1,3,4,6,5,2]=>1
[1,3,4,6,5,7,2]=>[1,3,4,6,5,2]=>1
[1,3,4,6,7,2,5]=>[1,3,4,6,2,5]=>1
[1,3,4,6,7,5,2]=>[1,3,4,6,5,2]=>1
[1,3,4,7,2,5,6]=>[1,3,4,2,5,6]=>1
[1,3,4,7,2,6,5]=>[1,3,4,2,6,5]=>1
[1,3,4,7,5,2,6]=>[1,3,4,5,2,6]=>1
[1,3,4,7,5,6,2]=>[1,3,4,5,6,2]=>1
[1,3,4,7,6,2,5]=>[1,3,4,6,2,5]=>1
[1,3,4,7,6,5,2]=>[1,3,4,6,5,2]=>1
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6]=>1
[1,3,5,2,4,7,6]=>[1,3,5,2,4,6]=>1
[1,3,5,2,6,4,7]=>[1,3,5,2,6,4]=>1
[1,3,5,2,6,7,4]=>[1,3,5,2,6,4]=>1
[1,3,5,2,7,4,6]=>[1,3,5,2,4,6]=>1
[1,3,5,2,7,6,4]=>[1,3,5,2,6,4]=>1
[1,3,5,4,2,6,7]=>[1,3,5,4,2,6]=>1
[1,3,5,4,2,7,6]=>[1,3,5,4,2,6]=>1
[1,3,5,4,6,2,7]=>[1,3,5,4,6,2]=>1
[1,3,5,4,6,7,2]=>[1,3,5,4,6,2]=>1
[1,3,5,4,7,2,6]=>[1,3,5,4,2,6]=>1
[1,3,5,4,7,6,2]=>[1,3,5,4,6,2]=>1
[1,3,5,6,2,4,7]=>[1,3,5,6,2,4]=>2
[1,3,5,6,2,7,4]=>[1,3,5,6,2,4]=>2
[1,3,5,6,4,2,7]=>[1,3,5,6,4,2]=>1
[1,3,5,6,4,7,2]=>[1,3,5,6,4,2]=>1
[1,3,5,6,7,2,4]=>[1,3,5,6,2,4]=>2
[1,3,5,6,7,4,2]=>[1,3,5,6,4,2]=>1
[1,3,5,7,2,4,6]=>[1,3,5,2,4,6]=>1
[1,3,5,7,2,6,4]=>[1,3,5,2,6,4]=>1
[1,3,5,7,4,2,6]=>[1,3,5,4,2,6]=>1
[1,3,5,7,4,6,2]=>[1,3,5,4,6,2]=>1
[1,3,5,7,6,2,4]=>[1,3,5,6,2,4]=>2
[1,3,5,7,6,4,2]=>[1,3,5,6,4,2]=>1
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5]=>1
[1,3,6,2,4,7,5]=>[1,3,6,2,4,5]=>1
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4]=>1
[1,3,6,2,5,7,4]=>[1,3,6,2,5,4]=>1
[1,3,6,2,7,4,5]=>[1,3,6,2,4,5]=>1
[1,3,6,2,7,5,4]=>[1,3,6,2,5,4]=>1
[1,3,6,4,2,5,7]=>[1,3,6,4,2,5]=>1
[1,3,6,4,2,7,5]=>[1,3,6,4,2,5]=>1
[1,3,6,4,5,2,7]=>[1,3,6,4,5,2]=>2
[1,3,6,4,5,7,2]=>[1,3,6,4,5,2]=>2
[1,3,6,4,7,2,5]=>[1,3,6,4,2,5]=>1
[1,3,6,4,7,5,2]=>[1,3,6,4,5,2]=>2
[1,3,6,5,2,4,7]=>[1,3,6,5,2,4]=>1
[1,3,6,5,2,7,4]=>[1,3,6,5,2,4]=>1
[1,3,6,5,4,2,7]=>[1,3,6,5,4,2]=>1
[1,3,6,5,4,7,2]=>[1,3,6,5,4,2]=>1
[1,3,6,5,7,2,4]=>[1,3,6,5,2,4]=>1
[1,3,6,5,7,4,2]=>[1,3,6,5,4,2]=>1
[1,3,6,7,2,4,5]=>[1,3,6,2,4,5]=>1
[1,3,6,7,2,5,4]=>[1,3,6,2,5,4]=>1
[1,3,6,7,4,2,5]=>[1,3,6,4,2,5]=>1
[1,3,6,7,4,5,2]=>[1,3,6,4,5,2]=>2
[1,3,6,7,5,2,4]=>[1,3,6,5,2,4]=>1
[1,3,6,7,5,4,2]=>[1,3,6,5,4,2]=>1
[1,3,7,2,4,5,6]=>[1,3,2,4,5,6]=>1
[1,3,7,2,4,6,5]=>[1,3,2,4,6,5]=>1
[1,3,7,2,5,4,6]=>[1,3,2,5,4,6]=>1
[1,3,7,2,5,6,4]=>[1,3,2,5,6,4]=>1
[1,3,7,2,6,4,5]=>[1,3,2,6,4,5]=>1
[1,3,7,2,6,5,4]=>[1,3,2,6,5,4]=>1
[1,3,7,4,2,5,6]=>[1,3,4,2,5,6]=>1
[1,3,7,4,2,6,5]=>[1,3,4,2,6,5]=>1
[1,3,7,4,5,2,6]=>[1,3,4,5,2,6]=>1
[1,3,7,4,5,6,2]=>[1,3,4,5,6,2]=>1
[1,3,7,4,6,2,5]=>[1,3,4,6,2,5]=>1
[1,3,7,4,6,5,2]=>[1,3,4,6,5,2]=>1
[1,3,7,5,2,4,6]=>[1,3,5,2,4,6]=>1
[1,3,7,5,2,6,4]=>[1,3,5,2,6,4]=>1
[1,3,7,5,4,2,6]=>[1,3,5,4,2,6]=>1
[1,3,7,5,4,6,2]=>[1,3,5,4,6,2]=>1
[1,3,7,5,6,2,4]=>[1,3,5,6,2,4]=>2
[1,3,7,5,6,4,2]=>[1,3,5,6,4,2]=>1
[1,3,7,6,2,4,5]=>[1,3,6,2,4,5]=>1
[1,3,7,6,2,5,4]=>[1,3,6,2,5,4]=>1
[1,3,7,6,4,2,5]=>[1,3,6,4,2,5]=>1
[1,3,7,6,4,5,2]=>[1,3,6,4,5,2]=>2
[1,3,7,6,5,2,4]=>[1,3,6,5,2,4]=>1
[1,3,7,6,5,4,2]=>[1,3,6,5,4,2]=>1
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6]=>1
[1,4,2,3,5,7,6]=>[1,4,2,3,5,6]=>1
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5]=>1
[1,4,2,3,6,7,5]=>[1,4,2,3,6,5]=>1
[1,4,2,3,7,5,6]=>[1,4,2,3,5,6]=>1
[1,4,2,3,7,6,5]=>[1,4,2,3,6,5]=>1
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6]=>1
[1,4,2,5,3,7,6]=>[1,4,2,5,3,6]=>1
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3]=>1
[1,4,2,5,6,7,3]=>[1,4,2,5,6,3]=>1
[1,4,2,5,7,3,6]=>[1,4,2,5,3,6]=>1
[1,4,2,5,7,6,3]=>[1,4,2,5,6,3]=>1
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5]=>1
[1,4,2,6,3,7,5]=>[1,4,2,6,3,5]=>1
[1,4,2,6,5,3,7]=>[1,4,2,6,5,3]=>1
[1,4,2,6,5,7,3]=>[1,4,2,6,5,3]=>1
[1,4,2,6,7,3,5]=>[1,4,2,6,3,5]=>1
[1,4,2,6,7,5,3]=>[1,4,2,6,5,3]=>1
[1,4,2,7,3,5,6]=>[1,4,2,3,5,6]=>1
[1,4,2,7,3,6,5]=>[1,4,2,3,6,5]=>1
[1,4,2,7,5,3,6]=>[1,4,2,5,3,6]=>1
[1,4,2,7,5,6,3]=>[1,4,2,5,6,3]=>1
[1,4,2,7,6,3,5]=>[1,4,2,6,3,5]=>1
[1,4,2,7,6,5,3]=>[1,4,2,6,5,3]=>1
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6]=>1
[1,4,3,2,5,7,6]=>[1,4,3,2,5,6]=>1
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5]=>1
[1,4,3,2,6,7,5]=>[1,4,3,2,6,5]=>1
[1,4,3,2,7,5,6]=>[1,4,3,2,5,6]=>1
[1,4,3,2,7,6,5]=>[1,4,3,2,6,5]=>1
[1,4,3,5,2,6,7]=>[1,4,3,5,2,6]=>1
[1,4,3,5,2,7,6]=>[1,4,3,5,2,6]=>1
[1,4,3,5,6,2,7]=>[1,4,3,5,6,2]=>1
[1,4,3,5,6,7,2]=>[1,4,3,5,6,2]=>1
[1,4,3,5,7,2,6]=>[1,4,3,5,2,6]=>1
[1,4,3,5,7,6,2]=>[1,4,3,5,6,2]=>1
[1,4,3,6,2,5,7]=>[1,4,3,6,2,5]=>1
[1,4,3,6,2,7,5]=>[1,4,3,6,2,5]=>1
[1,4,3,6,5,2,7]=>[1,4,3,6,5,2]=>1
[1,4,3,6,5,7,2]=>[1,4,3,6,5,2]=>1
[1,4,3,6,7,2,5]=>[1,4,3,6,2,5]=>1
[1,4,3,6,7,5,2]=>[1,4,3,6,5,2]=>1
[1,4,3,7,2,5,6]=>[1,4,3,2,5,6]=>1
[1,4,3,7,2,6,5]=>[1,4,3,2,6,5]=>1
[1,4,3,7,5,2,6]=>[1,4,3,5,2,6]=>1
[1,4,3,7,5,6,2]=>[1,4,3,5,6,2]=>1
[1,4,3,7,6,2,5]=>[1,4,3,6,2,5]=>1
[1,4,3,7,6,5,2]=>[1,4,3,6,5,2]=>1
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6]=>2
[1,4,5,2,3,7,6]=>[1,4,5,2,3,6]=>2
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3]=>2
[1,4,5,2,6,7,3]=>[1,4,5,2,6,3]=>2
[1,4,5,2,7,3,6]=>[1,4,5,2,3,6]=>2
[1,4,5,2,7,6,3]=>[1,4,5,2,6,3]=>2
[1,4,5,3,2,6,7]=>[1,4,5,3,2,6]=>1
[1,4,5,3,2,7,6]=>[1,4,5,3,2,6]=>1
[1,4,5,3,6,2,7]=>[1,4,5,3,6,2]=>1
[1,4,5,3,6,7,2]=>[1,4,5,3,6,2]=>1
[1,4,5,3,7,2,6]=>[1,4,5,3,2,6]=>1
[1,4,5,3,7,6,2]=>[1,4,5,3,6,2]=>1
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3]=>3
[1,4,5,6,2,7,3]=>[1,4,5,6,2,3]=>3
[1,4,5,6,3,2,7]=>[1,4,5,6,3,2]=>1
[1,4,5,6,3,7,2]=>[1,4,5,6,3,2]=>1
[1,4,5,6,7,2,3]=>[1,4,5,6,2,3]=>3
[1,4,5,6,7,3,2]=>[1,4,5,6,3,2]=>1
[1,4,5,7,2,3,6]=>[1,4,5,2,3,6]=>2
[1,4,5,7,2,6,3]=>[1,4,5,2,6,3]=>2
[1,4,5,7,3,2,6]=>[1,4,5,3,2,6]=>1
[1,4,5,7,3,6,2]=>[1,4,5,3,6,2]=>1
[1,4,5,7,6,2,3]=>[1,4,5,6,2,3]=>3
[1,4,5,7,6,3,2]=>[1,4,5,6,3,2]=>1
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5]=>2
[1,4,6,2,3,7,5]=>[1,4,6,2,3,5]=>2
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3]=>2
[1,4,6,2,5,7,3]=>[1,4,6,2,5,3]=>2
[1,4,6,2,7,3,5]=>[1,4,6,2,3,5]=>2
[1,4,6,2,7,5,3]=>[1,4,6,2,5,3]=>2
[1,4,6,3,2,5,7]=>[1,4,6,3,2,5]=>1
[1,4,6,3,2,7,5]=>[1,4,6,3,2,5]=>1
[1,4,6,3,5,2,7]=>[1,4,6,3,5,2]=>2
[1,4,6,3,5,7,2]=>[1,4,6,3,5,2]=>2
[1,4,6,3,7,2,5]=>[1,4,6,3,2,5]=>1
[1,4,6,3,7,5,2]=>[1,4,6,3,5,2]=>2
[1,4,6,5,2,3,7]=>[1,4,6,5,2,3]=>2
[1,4,6,5,2,7,3]=>[1,4,6,5,2,3]=>2
[1,4,6,5,3,2,7]=>[1,4,6,5,3,2]=>1
[1,4,6,5,3,7,2]=>[1,4,6,5,3,2]=>1
[1,4,6,5,7,2,3]=>[1,4,6,5,2,3]=>2
[1,4,6,5,7,3,2]=>[1,4,6,5,3,2]=>1
[1,4,6,7,2,3,5]=>[1,4,6,2,3,5]=>2
[1,4,6,7,2,5,3]=>[1,4,6,2,5,3]=>2
[1,4,6,7,3,2,5]=>[1,4,6,3,2,5]=>1
[1,4,6,7,3,5,2]=>[1,4,6,3,5,2]=>2
[1,4,6,7,5,2,3]=>[1,4,6,5,2,3]=>2
[1,4,6,7,5,3,2]=>[1,4,6,5,3,2]=>1
[1,4,7,2,3,5,6]=>[1,4,2,3,5,6]=>1
[1,4,7,2,3,6,5]=>[1,4,2,3,6,5]=>1
[1,4,7,2,5,3,6]=>[1,4,2,5,3,6]=>1
[1,4,7,2,5,6,3]=>[1,4,2,5,6,3]=>1
[1,4,7,2,6,3,5]=>[1,4,2,6,3,5]=>1
[1,4,7,2,6,5,3]=>[1,4,2,6,5,3]=>1
[1,4,7,3,2,5,6]=>[1,4,3,2,5,6]=>1
[1,4,7,3,2,6,5]=>[1,4,3,2,6,5]=>1
[1,4,7,3,5,2,6]=>[1,4,3,5,2,6]=>1
[1,4,7,3,5,6,2]=>[1,4,3,5,6,2]=>1
[1,4,7,3,6,2,5]=>[1,4,3,6,2,5]=>1
[1,4,7,3,6,5,2]=>[1,4,3,6,5,2]=>1
[1,4,7,5,2,3,6]=>[1,4,5,2,3,6]=>2
[1,4,7,5,2,6,3]=>[1,4,5,2,6,3]=>2
[1,4,7,5,3,2,6]=>[1,4,5,3,2,6]=>1
[1,4,7,5,3,6,2]=>[1,4,5,3,6,2]=>1
[1,4,7,5,6,2,3]=>[1,4,5,6,2,3]=>3
[1,4,7,5,6,3,2]=>[1,4,5,6,3,2]=>1
[1,4,7,6,2,3,5]=>[1,4,6,2,3,5]=>2
[1,4,7,6,2,5,3]=>[1,4,6,2,5,3]=>2
[1,4,7,6,3,2,5]=>[1,4,6,3,2,5]=>1
[1,4,7,6,3,5,2]=>[1,4,6,3,5,2]=>2
[1,4,7,6,5,2,3]=>[1,4,6,5,2,3]=>2
[1,4,7,6,5,3,2]=>[1,4,6,5,3,2]=>1
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6]=>1
[1,5,2,3,4,7,6]=>[1,5,2,3,4,6]=>1
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4]=>1
[1,5,2,3,6,7,4]=>[1,5,2,3,6,4]=>1
[1,5,2,3,7,4,6]=>[1,5,2,3,4,6]=>1
[1,5,2,3,7,6,4]=>[1,5,2,3,6,4]=>1
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6]=>1
[1,5,2,4,3,7,6]=>[1,5,2,4,3,6]=>1
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3]=>1
[1,5,2,4,6,7,3]=>[1,5,2,4,6,3]=>1
[1,5,2,4,7,3,6]=>[1,5,2,4,3,6]=>1
[1,5,2,4,7,6,3]=>[1,5,2,4,6,3]=>1
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4]=>2
[1,5,2,6,3,7,4]=>[1,5,2,6,3,4]=>2
[1,5,2,6,4,3,7]=>[1,5,2,6,4,3]=>1
[1,5,2,6,4,7,3]=>[1,5,2,6,4,3]=>1
[1,5,2,6,7,3,4]=>[1,5,2,6,3,4]=>2
[1,5,2,6,7,4,3]=>[1,5,2,6,4,3]=>1
[1,5,2,7,3,4,6]=>[1,5,2,3,4,6]=>1
[1,5,2,7,3,6,4]=>[1,5,2,3,6,4]=>1
[1,5,2,7,4,3,6]=>[1,5,2,4,3,6]=>1
[1,5,2,7,4,6,3]=>[1,5,2,4,6,3]=>1
[1,5,2,7,6,3,4]=>[1,5,2,6,3,4]=>2
[1,5,2,7,6,4,3]=>[1,5,2,6,4,3]=>1
[1,5,3,2,4,6,7]=>[1,5,3,2,4,6]=>1
[1,5,3,2,4,7,6]=>[1,5,3,2,4,6]=>1
[1,5,3,2,6,4,7]=>[1,5,3,2,6,4]=>1
[1,5,3,2,6,7,4]=>[1,5,3,2,6,4]=>1
[1,5,3,2,7,4,6]=>[1,5,3,2,4,6]=>1
[1,5,3,2,7,6,4]=>[1,5,3,2,6,4]=>1
[1,5,3,4,2,6,7]=>[1,5,3,4,2,6]=>2
[1,5,3,4,2,7,6]=>[1,5,3,4,2,6]=>2
[1,5,3,4,6,2,7]=>[1,5,3,4,6,2]=>2
[1,5,3,4,6,7,2]=>[1,5,3,4,6,2]=>2
[1,5,3,4,7,2,6]=>[1,5,3,4,2,6]=>2
[1,5,3,4,7,6,2]=>[1,5,3,4,6,2]=>2
[1,5,3,6,2,4,7]=>[1,5,3,6,2,4]=>2
[1,5,3,6,2,7,4]=>[1,5,3,6,2,4]=>2
[1,5,3,6,4,2,7]=>[1,5,3,6,4,2]=>2
[1,5,3,6,4,7,2]=>[1,5,3,6,4,2]=>2
[1,5,3,6,7,2,4]=>[1,5,3,6,2,4]=>2
[1,5,3,6,7,4,2]=>[1,5,3,6,4,2]=>2
[1,5,3,7,2,4,6]=>[1,5,3,2,4,6]=>1
[1,5,3,7,2,6,4]=>[1,5,3,2,6,4]=>1
[1,5,3,7,4,2,6]=>[1,5,3,4,2,6]=>2
[1,5,3,7,4,6,2]=>[1,5,3,4,6,2]=>2
[1,5,3,7,6,2,4]=>[1,5,3,6,2,4]=>2
[1,5,3,7,6,4,2]=>[1,5,3,6,4,2]=>2
[1,5,4,2,3,6,7]=>[1,5,4,2,3,6]=>1
[1,5,4,2,3,7,6]=>[1,5,4,2,3,6]=>1
[1,5,4,2,6,3,7]=>[1,5,4,2,6,3]=>1
[1,5,4,2,6,7,3]=>[1,5,4,2,6,3]=>1
[1,5,4,2,7,3,6]=>[1,5,4,2,3,6]=>1
[1,5,4,2,7,6,3]=>[1,5,4,2,6,3]=>1
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6]=>1
[1,5,4,3,2,7,6]=>[1,5,4,3,2,6]=>1
[1,5,4,3,6,2,7]=>[1,5,4,3,6,2]=>1
[1,5,4,3,6,7,2]=>[1,5,4,3,6,2]=>1
[1,5,4,3,7,2,6]=>[1,5,4,3,2,6]=>1
[1,5,4,3,7,6,2]=>[1,5,4,3,6,2]=>1
[1,5,4,6,2,3,7]=>[1,5,4,6,2,3]=>2
[1,5,4,6,2,7,3]=>[1,5,4,6,2,3]=>2
[1,5,4,6,3,2,7]=>[1,5,4,6,3,2]=>1
[1,5,4,6,3,7,2]=>[1,5,4,6,3,2]=>1
[1,5,4,6,7,2,3]=>[1,5,4,6,2,3]=>2
[1,5,4,6,7,3,2]=>[1,5,4,6,3,2]=>1
[1,5,4,7,2,3,6]=>[1,5,4,2,3,6]=>1
[1,5,4,7,2,6,3]=>[1,5,4,2,6,3]=>1
[1,5,4,7,3,2,6]=>[1,5,4,3,2,6]=>1
[1,5,4,7,3,6,2]=>[1,5,4,3,6,2]=>1
[1,5,4,7,6,2,3]=>[1,5,4,6,2,3]=>2
[1,5,4,7,6,3,2]=>[1,5,4,6,3,2]=>1
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4]=>3
[1,5,6,2,3,7,4]=>[1,5,6,2,3,4]=>3
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3]=>2
[1,5,6,2,4,7,3]=>[1,5,6,2,4,3]=>2
[1,5,6,2,7,3,4]=>[1,5,6,2,3,4]=>3
[1,5,6,2,7,4,3]=>[1,5,6,2,4,3]=>2
[1,5,6,3,2,4,7]=>[1,5,6,3,2,4]=>2
[1,5,6,3,2,7,4]=>[1,5,6,3,2,4]=>2
[1,5,6,3,4,2,7]=>[1,5,6,3,4,2]=>3
[1,5,6,3,4,7,2]=>[1,5,6,3,4,2]=>3
[1,5,6,3,7,2,4]=>[1,5,6,3,2,4]=>2
[1,5,6,3,7,4,2]=>[1,5,6,3,4,2]=>3
[1,5,6,4,2,3,7]=>[1,5,6,4,2,3]=>2
[1,5,6,4,2,7,3]=>[1,5,6,4,2,3]=>2
[1,5,6,4,3,2,7]=>[1,5,6,4,3,2]=>1
[1,5,6,4,3,7,2]=>[1,5,6,4,3,2]=>1
[1,5,6,4,7,2,3]=>[1,5,6,4,2,3]=>2
[1,5,6,4,7,3,2]=>[1,5,6,4,3,2]=>1
[1,5,6,7,2,3,4]=>[1,5,6,2,3,4]=>3
[1,5,6,7,2,4,3]=>[1,5,6,2,4,3]=>2
[1,5,6,7,3,2,4]=>[1,5,6,3,2,4]=>2
[1,5,6,7,3,4,2]=>[1,5,6,3,4,2]=>3
[1,5,6,7,4,2,3]=>[1,5,6,4,2,3]=>2
[1,5,6,7,4,3,2]=>[1,5,6,4,3,2]=>1
[1,5,7,2,3,4,6]=>[1,5,2,3,4,6]=>1
[1,5,7,2,3,6,4]=>[1,5,2,3,6,4]=>1
[1,5,7,2,4,3,6]=>[1,5,2,4,3,6]=>1
[1,5,7,2,4,6,3]=>[1,5,2,4,6,3]=>1
[1,5,7,2,6,3,4]=>[1,5,2,6,3,4]=>2
[1,5,7,2,6,4,3]=>[1,5,2,6,4,3]=>1
[1,5,7,3,2,4,6]=>[1,5,3,2,4,6]=>1
[1,5,7,3,2,6,4]=>[1,5,3,2,6,4]=>1
[1,5,7,3,4,2,6]=>[1,5,3,4,2,6]=>2
[1,5,7,3,4,6,2]=>[1,5,3,4,6,2]=>2
[1,5,7,3,6,2,4]=>[1,5,3,6,2,4]=>2
[1,5,7,3,6,4,2]=>[1,5,3,6,4,2]=>2
[1,5,7,4,2,3,6]=>[1,5,4,2,3,6]=>1
[1,5,7,4,2,6,3]=>[1,5,4,2,6,3]=>1
[1,5,7,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,5,7,4,3,6,2]=>[1,5,4,3,6,2]=>1
[1,5,7,4,6,2,3]=>[1,5,4,6,2,3]=>2
[1,5,7,4,6,3,2]=>[1,5,4,6,3,2]=>1
[1,5,7,6,2,3,4]=>[1,5,6,2,3,4]=>3
[1,5,7,6,2,4,3]=>[1,5,6,2,4,3]=>2
[1,5,7,6,3,2,4]=>[1,5,6,3,2,4]=>2
[1,5,7,6,3,4,2]=>[1,5,6,3,4,2]=>3
[1,5,7,6,4,2,3]=>[1,5,6,4,2,3]=>2
[1,5,7,6,4,3,2]=>[1,5,6,4,3,2]=>1
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5]=>1
[1,6,2,3,4,7,5]=>[1,6,2,3,4,5]=>1
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4]=>1
[1,6,2,3,5,7,4]=>[1,6,2,3,5,4]=>1
[1,6,2,3,7,4,5]=>[1,6,2,3,4,5]=>1
[1,6,2,3,7,5,4]=>[1,6,2,3,5,4]=>1
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5]=>1
[1,6,2,4,3,7,5]=>[1,6,2,4,3,5]=>1
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3]=>2
[1,6,2,4,5,7,3]=>[1,6,2,4,5,3]=>2
[1,6,2,4,7,3,5]=>[1,6,2,4,3,5]=>1
[1,6,2,4,7,5,3]=>[1,6,2,4,5,3]=>2
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4]=>1
[1,6,2,5,3,7,4]=>[1,6,2,5,3,4]=>1
[1,6,2,5,4,3,7]=>[1,6,2,5,4,3]=>1
[1,6,2,5,4,7,3]=>[1,6,2,5,4,3]=>1
[1,6,2,5,7,3,4]=>[1,6,2,5,3,4]=>1
[1,6,2,5,7,4,3]=>[1,6,2,5,4,3]=>1
[1,6,2,7,3,4,5]=>[1,6,2,3,4,5]=>1
[1,6,2,7,3,5,4]=>[1,6,2,3,5,4]=>1
[1,6,2,7,4,3,5]=>[1,6,2,4,3,5]=>1
[1,6,2,7,4,5,3]=>[1,6,2,4,5,3]=>2
[1,6,2,7,5,3,4]=>[1,6,2,5,3,4]=>1
[1,6,2,7,5,4,3]=>[1,6,2,5,4,3]=>1
[1,6,3,2,4,5,7]=>[1,6,3,2,4,5]=>1
[1,6,3,2,4,7,5]=>[1,6,3,2,4,5]=>1
[1,6,3,2,5,4,7]=>[1,6,3,2,5,4]=>1
[1,6,3,2,5,7,4]=>[1,6,3,2,5,4]=>1
[1,6,3,2,7,4,5]=>[1,6,3,2,4,5]=>1
[1,6,3,2,7,5,4]=>[1,6,3,2,5,4]=>1
[1,6,3,4,2,5,7]=>[1,6,3,4,2,5]=>2
[1,6,3,4,2,7,5]=>[1,6,3,4,2,5]=>2
[1,6,3,4,5,2,7]=>[1,6,3,4,5,2]=>4
[1,6,3,4,5,7,2]=>[1,6,3,4,5,2]=>4
[1,6,3,4,7,2,5]=>[1,6,3,4,2,5]=>2
[1,6,3,4,7,5,2]=>[1,6,3,4,5,2]=>4
[1,6,3,5,2,4,7]=>[1,6,3,5,2,4]=>2
[1,6,3,5,2,7,4]=>[1,6,3,5,2,4]=>2
[1,6,3,5,4,2,7]=>[1,6,3,5,4,2]=>2
[1,6,3,5,4,7,2]=>[1,6,3,5,4,2]=>2
[1,6,3,5,7,2,4]=>[1,6,3,5,2,4]=>2
[1,6,3,5,7,4,2]=>[1,6,3,5,4,2]=>2
[1,6,3,7,2,4,5]=>[1,6,3,2,4,5]=>1
[1,6,3,7,2,5,4]=>[1,6,3,2,5,4]=>1
[1,6,3,7,4,2,5]=>[1,6,3,4,2,5]=>2
[1,6,3,7,4,5,2]=>[1,6,3,4,5,2]=>4
[1,6,3,7,5,2,4]=>[1,6,3,5,2,4]=>2
[1,6,3,7,5,4,2]=>[1,6,3,5,4,2]=>2
[1,6,4,2,3,5,7]=>[1,6,4,2,3,5]=>1
[1,6,4,2,3,7,5]=>[1,6,4,2,3,5]=>1
[1,6,4,2,5,3,7]=>[1,6,4,2,5,3]=>2
[1,6,4,2,5,7,3]=>[1,6,4,2,5,3]=>2
[1,6,4,2,7,3,5]=>[1,6,4,2,3,5]=>1
[1,6,4,2,7,5,3]=>[1,6,4,2,5,3]=>2
[1,6,4,3,2,5,7]=>[1,6,4,3,2,5]=>1
[1,6,4,3,2,7,5]=>[1,6,4,3,2,5]=>1
[1,6,4,3,5,2,7]=>[1,6,4,3,5,2]=>2
[1,6,4,3,5,7,2]=>[1,6,4,3,5,2]=>2
[1,6,4,3,7,2,5]=>[1,6,4,3,2,5]=>1
[1,6,4,3,7,5,2]=>[1,6,4,3,5,2]=>2
[1,6,4,5,2,3,7]=>[1,6,4,5,2,3]=>3
[1,6,4,5,2,7,3]=>[1,6,4,5,2,3]=>3
[1,6,4,5,3,2,7]=>[1,6,4,5,3,2]=>2
[1,6,4,5,3,7,2]=>[1,6,4,5,3,2]=>2
[1,6,4,5,7,2,3]=>[1,6,4,5,2,3]=>3
[1,6,4,5,7,3,2]=>[1,6,4,5,3,2]=>2
[1,6,4,7,2,3,5]=>[1,6,4,2,3,5]=>1
[1,6,4,7,2,5,3]=>[1,6,4,2,5,3]=>2
[1,6,4,7,3,2,5]=>[1,6,4,3,2,5]=>1
[1,6,4,7,3,5,2]=>[1,6,4,3,5,2]=>2
[1,6,4,7,5,2,3]=>[1,6,4,5,2,3]=>3
[1,6,4,7,5,3,2]=>[1,6,4,5,3,2]=>2
[1,6,5,2,3,4,7]=>[1,6,5,2,3,4]=>1
[1,6,5,2,3,7,4]=>[1,6,5,2,3,4]=>1
[1,6,5,2,4,3,7]=>[1,6,5,2,4,3]=>1
[1,6,5,2,4,7,3]=>[1,6,5,2,4,3]=>1
[1,6,5,2,7,3,4]=>[1,6,5,2,3,4]=>1
[1,6,5,2,7,4,3]=>[1,6,5,2,4,3]=>1
[1,6,5,3,2,4,7]=>[1,6,5,3,2,4]=>1
[1,6,5,3,2,7,4]=>[1,6,5,3,2,4]=>1
[1,6,5,3,4,2,7]=>[1,6,5,3,4,2]=>2
[1,6,5,3,4,7,2]=>[1,6,5,3,4,2]=>2
[1,6,5,3,7,2,4]=>[1,6,5,3,2,4]=>1
[1,6,5,3,7,4,2]=>[1,6,5,3,4,2]=>2
[1,6,5,4,2,3,7]=>[1,6,5,4,2,3]=>1
[1,6,5,4,2,7,3]=>[1,6,5,4,2,3]=>1
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2]=>1
[1,6,5,4,3,7,2]=>[1,6,5,4,3,2]=>1
[1,6,5,4,7,2,3]=>[1,6,5,4,2,3]=>1
[1,6,5,4,7,3,2]=>[1,6,5,4,3,2]=>1
[1,6,5,7,2,3,4]=>[1,6,5,2,3,4]=>1
[1,6,5,7,2,4,3]=>[1,6,5,2,4,3]=>1
[1,6,5,7,3,2,4]=>[1,6,5,3,2,4]=>1
[1,6,5,7,3,4,2]=>[1,6,5,3,4,2]=>2
[1,6,5,7,4,2,3]=>[1,6,5,4,2,3]=>1
[1,6,5,7,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,7,2,3,4,5]=>[1,6,2,3,4,5]=>1
[1,6,7,2,3,5,4]=>[1,6,2,3,5,4]=>1
[1,6,7,2,4,3,5]=>[1,6,2,4,3,5]=>1
[1,6,7,2,4,5,3]=>[1,6,2,4,5,3]=>2
[1,6,7,2,5,3,4]=>[1,6,2,5,3,4]=>1
[1,6,7,2,5,4,3]=>[1,6,2,5,4,3]=>1
[1,6,7,3,2,4,5]=>[1,6,3,2,4,5]=>1
[1,6,7,3,2,5,4]=>[1,6,3,2,5,4]=>1
[1,6,7,3,4,2,5]=>[1,6,3,4,2,5]=>2
[1,6,7,3,4,5,2]=>[1,6,3,4,5,2]=>4
[1,6,7,3,5,2,4]=>[1,6,3,5,2,4]=>2
[1,6,7,3,5,4,2]=>[1,6,3,5,4,2]=>2
[1,6,7,4,2,3,5]=>[1,6,4,2,3,5]=>1
[1,6,7,4,2,5,3]=>[1,6,4,2,5,3]=>2
[1,6,7,4,3,2,5]=>[1,6,4,3,2,5]=>1
[1,6,7,4,3,5,2]=>[1,6,4,3,5,2]=>2
[1,6,7,4,5,2,3]=>[1,6,4,5,2,3]=>3
[1,6,7,4,5,3,2]=>[1,6,4,5,3,2]=>2
[1,6,7,5,2,3,4]=>[1,6,5,2,3,4]=>1
[1,6,7,5,2,4,3]=>[1,6,5,2,4,3]=>1
[1,6,7,5,3,2,4]=>[1,6,5,3,2,4]=>1
[1,6,7,5,3,4,2]=>[1,6,5,3,4,2]=>2
[1,6,7,5,4,2,3]=>[1,6,5,4,2,3]=>1
[1,6,7,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,7,2,3,4,5,6]=>[1,2,3,4,5,6]=>1
[1,7,2,3,4,6,5]=>[1,2,3,4,6,5]=>1
[1,7,2,3,5,4,6]=>[1,2,3,5,4,6]=>1
[1,7,2,3,5,6,4]=>[1,2,3,5,6,4]=>1
[1,7,2,3,6,4,5]=>[1,2,3,6,4,5]=>1
[1,7,2,3,6,5,4]=>[1,2,3,6,5,4]=>1
[1,7,2,4,3,5,6]=>[1,2,4,3,5,6]=>1
[1,7,2,4,3,6,5]=>[1,2,4,3,6,5]=>1
[1,7,2,4,5,3,6]=>[1,2,4,5,3,6]=>1
[1,7,2,4,5,6,3]=>[1,2,4,5,6,3]=>1
[1,7,2,4,6,3,5]=>[1,2,4,6,3,5]=>1
[1,7,2,4,6,5,3]=>[1,2,4,6,5,3]=>1
[1,7,2,5,3,4,6]=>[1,2,5,3,4,6]=>1
[1,7,2,5,3,6,4]=>[1,2,5,3,6,4]=>1
[1,7,2,5,4,3,6]=>[1,2,5,4,3,6]=>1
[1,7,2,5,4,6,3]=>[1,2,5,4,6,3]=>1
[1,7,2,5,6,3,4]=>[1,2,5,6,3,4]=>2
[1,7,2,5,6,4,3]=>[1,2,5,6,4,3]=>1
[1,7,2,6,3,4,5]=>[1,2,6,3,4,5]=>1
[1,7,2,6,3,5,4]=>[1,2,6,3,5,4]=>1
[1,7,2,6,4,3,5]=>[1,2,6,4,3,5]=>1
[1,7,2,6,4,5,3]=>[1,2,6,4,5,3]=>2
[1,7,2,6,5,3,4]=>[1,2,6,5,3,4]=>1
[1,7,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,7,3,2,4,5,6]=>[1,3,2,4,5,6]=>1
[1,7,3,2,4,6,5]=>[1,3,2,4,6,5]=>1
[1,7,3,2,5,4,6]=>[1,3,2,5,4,6]=>1
[1,7,3,2,5,6,4]=>[1,3,2,5,6,4]=>1
[1,7,3,2,6,4,5]=>[1,3,2,6,4,5]=>1
[1,7,3,2,6,5,4]=>[1,3,2,6,5,4]=>1
[1,7,3,4,2,5,6]=>[1,3,4,2,5,6]=>1
[1,7,3,4,2,6,5]=>[1,3,4,2,6,5]=>1
[1,7,3,4,5,2,6]=>[1,3,4,5,2,6]=>1
[1,7,3,4,5,6,2]=>[1,3,4,5,6,2]=>1
[1,7,3,4,6,2,5]=>[1,3,4,6,2,5]=>1
[1,7,3,4,6,5,2]=>[1,3,4,6,5,2]=>1
[1,7,3,5,2,4,6]=>[1,3,5,2,4,6]=>1
[1,7,3,5,2,6,4]=>[1,3,5,2,6,4]=>1
[1,7,3,5,4,2,6]=>[1,3,5,4,2,6]=>1
[1,7,3,5,4,6,2]=>[1,3,5,4,6,2]=>1
[1,7,3,5,6,2,4]=>[1,3,5,6,2,4]=>2
[1,7,3,5,6,4,2]=>[1,3,5,6,4,2]=>1
[1,7,3,6,2,4,5]=>[1,3,6,2,4,5]=>1
[1,7,3,6,2,5,4]=>[1,3,6,2,5,4]=>1
[1,7,3,6,4,2,5]=>[1,3,6,4,2,5]=>1
[1,7,3,6,4,5,2]=>[1,3,6,4,5,2]=>2
[1,7,3,6,5,2,4]=>[1,3,6,5,2,4]=>1
[1,7,3,6,5,4,2]=>[1,3,6,5,4,2]=>1
[1,7,4,2,3,5,6]=>[1,4,2,3,5,6]=>1
[1,7,4,2,3,6,5]=>[1,4,2,3,6,5]=>1
[1,7,4,2,5,3,6]=>[1,4,2,5,3,6]=>1
[1,7,4,2,5,6,3]=>[1,4,2,5,6,3]=>1
[1,7,4,2,6,3,5]=>[1,4,2,6,3,5]=>1
[1,7,4,2,6,5,3]=>[1,4,2,6,5,3]=>1
[1,7,4,3,2,5,6]=>[1,4,3,2,5,6]=>1
[1,7,4,3,2,6,5]=>[1,4,3,2,6,5]=>1
[1,7,4,3,5,2,6]=>[1,4,3,5,2,6]=>1
[1,7,4,3,5,6,2]=>[1,4,3,5,6,2]=>1
[1,7,4,3,6,2,5]=>[1,4,3,6,2,5]=>1
[1,7,4,3,6,5,2]=>[1,4,3,6,5,2]=>1
[1,7,4,5,2,3,6]=>[1,4,5,2,3,6]=>2
[1,7,4,5,2,6,3]=>[1,4,5,2,6,3]=>2
[1,7,4,5,3,2,6]=>[1,4,5,3,2,6]=>1
[1,7,4,5,3,6,2]=>[1,4,5,3,6,2]=>1
[1,7,4,5,6,2,3]=>[1,4,5,6,2,3]=>3
[1,7,4,5,6,3,2]=>[1,4,5,6,3,2]=>1
[1,7,4,6,2,3,5]=>[1,4,6,2,3,5]=>2
[1,7,4,6,2,5,3]=>[1,4,6,2,5,3]=>2
[1,7,4,6,3,2,5]=>[1,4,6,3,2,5]=>1
[1,7,4,6,3,5,2]=>[1,4,6,3,5,2]=>2
[1,7,4,6,5,2,3]=>[1,4,6,5,2,3]=>2
[1,7,4,6,5,3,2]=>[1,4,6,5,3,2]=>1
[1,7,5,2,3,4,6]=>[1,5,2,3,4,6]=>1
[1,7,5,2,3,6,4]=>[1,5,2,3,6,4]=>1
[1,7,5,2,4,3,6]=>[1,5,2,4,3,6]=>1
[1,7,5,2,4,6,3]=>[1,5,2,4,6,3]=>1
[1,7,5,2,6,3,4]=>[1,5,2,6,3,4]=>2
[1,7,5,2,6,4,3]=>[1,5,2,6,4,3]=>1
[1,7,5,3,2,4,6]=>[1,5,3,2,4,6]=>1
[1,7,5,3,2,6,4]=>[1,5,3,2,6,4]=>1
[1,7,5,3,4,2,6]=>[1,5,3,4,2,6]=>2
[1,7,5,3,4,6,2]=>[1,5,3,4,6,2]=>2
[1,7,5,3,6,2,4]=>[1,5,3,6,2,4]=>2
[1,7,5,3,6,4,2]=>[1,5,3,6,4,2]=>2
[1,7,5,4,2,3,6]=>[1,5,4,2,3,6]=>1
[1,7,5,4,2,6,3]=>[1,5,4,2,6,3]=>1
[1,7,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,7,5,4,3,6,2]=>[1,5,4,3,6,2]=>1
[1,7,5,4,6,2,3]=>[1,5,4,6,2,3]=>2
[1,7,5,4,6,3,2]=>[1,5,4,6,3,2]=>1
[1,7,5,6,2,3,4]=>[1,5,6,2,3,4]=>3
[1,7,5,6,2,4,3]=>[1,5,6,2,4,3]=>2
[1,7,5,6,3,2,4]=>[1,5,6,3,2,4]=>2
[1,7,5,6,3,4,2]=>[1,5,6,3,4,2]=>3
[1,7,5,6,4,2,3]=>[1,5,6,4,2,3]=>2
[1,7,5,6,4,3,2]=>[1,5,6,4,3,2]=>1
[1,7,6,2,3,4,5]=>[1,6,2,3,4,5]=>1
[1,7,6,2,3,5,4]=>[1,6,2,3,5,4]=>1
[1,7,6,2,4,3,5]=>[1,6,2,4,3,5]=>1
[1,7,6,2,4,5,3]=>[1,6,2,4,5,3]=>2
[1,7,6,2,5,3,4]=>[1,6,2,5,3,4]=>1
[1,7,6,2,5,4,3]=>[1,6,2,5,4,3]=>1
[1,7,6,3,2,4,5]=>[1,6,3,2,4,5]=>1
[1,7,6,3,2,5,4]=>[1,6,3,2,5,4]=>1
[1,7,6,3,4,2,5]=>[1,6,3,4,2,5]=>2
[1,7,6,3,4,5,2]=>[1,6,3,4,5,2]=>4
[1,7,6,3,5,2,4]=>[1,6,3,5,2,4]=>2
[1,7,6,3,5,4,2]=>[1,6,3,5,4,2]=>2
[1,7,6,4,2,3,5]=>[1,6,4,2,3,5]=>1
[1,7,6,4,2,5,3]=>[1,6,4,2,5,3]=>2
[1,7,6,4,3,2,5]=>[1,6,4,3,2,5]=>1
[1,7,6,4,3,5,2]=>[1,6,4,3,5,2]=>2
[1,7,6,4,5,2,3]=>[1,6,4,5,2,3]=>3
[1,7,6,4,5,3,2]=>[1,6,4,5,3,2]=>2
[1,7,6,5,2,3,4]=>[1,6,5,2,3,4]=>1
[1,7,6,5,2,4,3]=>[1,6,5,2,4,3]=>1
[1,7,6,5,3,2,4]=>[1,6,5,3,2,4]=>1
[1,7,6,5,3,4,2]=>[1,6,5,3,4,2]=>2
[1,7,6,5,4,2,3]=>[1,6,5,4,2,3]=>1
[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6]=>1
[2,1,3,4,5,7,6]=>[2,1,3,4,5,6]=>1
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5]=>1
[2,1,3,4,6,7,5]=>[2,1,3,4,6,5]=>1
[2,1,3,4,7,5,6]=>[2,1,3,4,5,6]=>1
[2,1,3,4,7,6,5]=>[2,1,3,4,6,5]=>1
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6]=>1
[2,1,3,5,4,7,6]=>[2,1,3,5,4,6]=>1
[2,1,3,5,6,4,7]=>[2,1,3,5,6,4]=>1
[2,1,3,5,6,7,4]=>[2,1,3,5,6,4]=>1
[2,1,3,5,7,4,6]=>[2,1,3,5,4,6]=>1
[2,1,3,5,7,6,4]=>[2,1,3,5,6,4]=>1
[2,1,3,6,4,5,7]=>[2,1,3,6,4,5]=>1
[2,1,3,6,4,7,5]=>[2,1,3,6,4,5]=>1
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4]=>1
[2,1,3,6,5,7,4]=>[2,1,3,6,5,4]=>1
[2,1,3,6,7,4,5]=>[2,1,3,6,4,5]=>1
[2,1,3,6,7,5,4]=>[2,1,3,6,5,4]=>1
[2,1,3,7,4,5,6]=>[2,1,3,4,5,6]=>1
[2,1,3,7,4,6,5]=>[2,1,3,4,6,5]=>1
[2,1,3,7,5,4,6]=>[2,1,3,5,4,6]=>1
[2,1,3,7,5,6,4]=>[2,1,3,5,6,4]=>1
[2,1,3,7,6,4,5]=>[2,1,3,6,4,5]=>1
[2,1,3,7,6,5,4]=>[2,1,3,6,5,4]=>1
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6]=>1
[2,1,4,3,5,7,6]=>[2,1,4,3,5,6]=>1
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5]=>1
[2,1,4,3,6,7,5]=>[2,1,4,3,6,5]=>1
[2,1,4,3,7,5,6]=>[2,1,4,3,5,6]=>1
[2,1,4,3,7,6,5]=>[2,1,4,3,6,5]=>1
[2,1,4,5,3,6,7]=>[2,1,4,5,3,6]=>1
[2,1,4,5,3,7,6]=>[2,1,4,5,3,6]=>1
[2,1,4,5,6,3,7]=>[2,1,4,5,6,3]=>1
[2,1,4,5,6,7,3]=>[2,1,4,5,6,3]=>1
[2,1,4,5,7,3,6]=>[2,1,4,5,3,6]=>1
[2,1,4,5,7,6,3]=>[2,1,4,5,6,3]=>1
[2,1,4,6,3,5,7]=>[2,1,4,6,3,5]=>1
[2,1,4,6,3,7,5]=>[2,1,4,6,3,5]=>1
[2,1,4,6,5,3,7]=>[2,1,4,6,5,3]=>1
[2,1,4,6,5,7,3]=>[2,1,4,6,5,3]=>1
[2,1,4,6,7,3,5]=>[2,1,4,6,3,5]=>1
[2,1,4,6,7,5,3]=>[2,1,4,6,5,3]=>1
[2,1,4,7,3,5,6]=>[2,1,4,3,5,6]=>1
[2,1,4,7,3,6,5]=>[2,1,4,3,6,5]=>1
[2,1,4,7,5,3,6]=>[2,1,4,5,3,6]=>1
[2,1,4,7,5,6,3]=>[2,1,4,5,6,3]=>1
[2,1,4,7,6,3,5]=>[2,1,4,6,3,5]=>1
[2,1,4,7,6,5,3]=>[2,1,4,6,5,3]=>1
[2,1,5,3,4,6,7]=>[2,1,5,3,4,6]=>1
[2,1,5,3,4,7,6]=>[2,1,5,3,4,6]=>1
[2,1,5,3,6,4,7]=>[2,1,5,3,6,4]=>1
[2,1,5,3,6,7,4]=>[2,1,5,3,6,4]=>1
[2,1,5,3,7,4,6]=>[2,1,5,3,4,6]=>1
[2,1,5,3,7,6,4]=>[2,1,5,3,6,4]=>1
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6]=>1
[2,1,5,4,3,7,6]=>[2,1,5,4,3,6]=>1
[2,1,5,4,6,3,7]=>[2,1,5,4,6,3]=>1
[2,1,5,4,6,7,3]=>[2,1,5,4,6,3]=>1
[2,1,5,4,7,3,6]=>[2,1,5,4,3,6]=>1
[2,1,5,4,7,6,3]=>[2,1,5,4,6,3]=>1
[2,1,5,6,3,4,7]=>[2,1,5,6,3,4]=>2
[2,1,5,6,3,7,4]=>[2,1,5,6,3,4]=>2
[2,1,5,6,4,3,7]=>[2,1,5,6,4,3]=>1
[2,1,5,6,4,7,3]=>[2,1,5,6,4,3]=>1
[2,1,5,6,7,3,4]=>[2,1,5,6,3,4]=>2
[2,1,5,6,7,4,3]=>[2,1,5,6,4,3]=>1
[2,1,5,7,3,4,6]=>[2,1,5,3,4,6]=>1
[2,1,5,7,3,6,4]=>[2,1,5,3,6,4]=>1
[2,1,5,7,4,3,6]=>[2,1,5,4,3,6]=>1
[2,1,5,7,4,6,3]=>[2,1,5,4,6,3]=>1
[2,1,5,7,6,3,4]=>[2,1,5,6,3,4]=>2
[2,1,5,7,6,4,3]=>[2,1,5,6,4,3]=>1
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5]=>1
[2,1,6,3,4,7,5]=>[2,1,6,3,4,5]=>1
[2,1,6,3,5,4,7]=>[2,1,6,3,5,4]=>1
[2,1,6,3,5,7,4]=>[2,1,6,3,5,4]=>1
[2,1,6,3,7,4,5]=>[2,1,6,3,4,5]=>1
[2,1,6,3,7,5,4]=>[2,1,6,3,5,4]=>1
[2,1,6,4,3,5,7]=>[2,1,6,4,3,5]=>1
[2,1,6,4,3,7,5]=>[2,1,6,4,3,5]=>1
[2,1,6,4,5,3,7]=>[2,1,6,4,5,3]=>2
[2,1,6,4,5,7,3]=>[2,1,6,4,5,3]=>2
[2,1,6,4,7,3,5]=>[2,1,6,4,3,5]=>1
[2,1,6,4,7,5,3]=>[2,1,6,4,5,3]=>2
[2,1,6,5,3,4,7]=>[2,1,6,5,3,4]=>1
[2,1,6,5,3,7,4]=>[2,1,6,5,3,4]=>1
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3]=>1
[2,1,6,5,4,7,3]=>[2,1,6,5,4,3]=>1
[2,1,6,5,7,3,4]=>[2,1,6,5,3,4]=>1
[2,1,6,5,7,4,3]=>[2,1,6,5,4,3]=>1
[2,1,6,7,3,4,5]=>[2,1,6,3,4,5]=>1
[2,1,6,7,3,5,4]=>[2,1,6,3,5,4]=>1
[2,1,6,7,4,3,5]=>[2,1,6,4,3,5]=>1
[2,1,6,7,4,5,3]=>[2,1,6,4,5,3]=>2
[2,1,6,7,5,3,4]=>[2,1,6,5,3,4]=>1
[2,1,6,7,5,4,3]=>[2,1,6,5,4,3]=>1
[2,1,7,3,4,5,6]=>[2,1,3,4,5,6]=>1
[2,1,7,3,4,6,5]=>[2,1,3,4,6,5]=>1
[2,1,7,3,5,4,6]=>[2,1,3,5,4,6]=>1
[2,1,7,3,5,6,4]=>[2,1,3,5,6,4]=>1
[2,1,7,3,6,4,5]=>[2,1,3,6,4,5]=>1
[2,1,7,3,6,5,4]=>[2,1,3,6,5,4]=>1
[2,1,7,4,3,5,6]=>[2,1,4,3,5,6]=>1
[2,1,7,4,3,6,5]=>[2,1,4,3,6,5]=>1
[2,1,7,4,5,3,6]=>[2,1,4,5,3,6]=>1
[2,1,7,4,5,6,3]=>[2,1,4,5,6,3]=>1
[2,1,7,4,6,3,5]=>[2,1,4,6,3,5]=>1
[2,1,7,4,6,5,3]=>[2,1,4,6,5,3]=>1
[2,1,7,5,3,4,6]=>[2,1,5,3,4,6]=>1
[2,1,7,5,3,6,4]=>[2,1,5,3,6,4]=>1
[2,1,7,5,4,3,6]=>[2,1,5,4,3,6]=>1
[2,1,7,5,4,6,3]=>[2,1,5,4,6,3]=>1
[2,1,7,5,6,3,4]=>[2,1,5,6,3,4]=>2
[2,1,7,5,6,4,3]=>[2,1,5,6,4,3]=>1
[2,1,7,6,3,4,5]=>[2,1,6,3,4,5]=>1
[2,1,7,6,3,5,4]=>[2,1,6,3,5,4]=>1
[2,1,7,6,4,3,5]=>[2,1,6,4,3,5]=>1
[2,1,7,6,4,5,3]=>[2,1,6,4,5,3]=>2
[2,1,7,6,5,3,4]=>[2,1,6,5,3,4]=>1
[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>1
[2,3,1,4,5,6,7]=>[2,3,1,4,5,6]=>1
[2,3,1,4,5,7,6]=>[2,3,1,4,5,6]=>1
[2,3,1,4,6,5,7]=>[2,3,1,4,6,5]=>1
[2,3,1,4,6,7,5]=>[2,3,1,4,6,5]=>1
[2,3,1,4,7,5,6]=>[2,3,1,4,5,6]=>1
[2,3,1,4,7,6,5]=>[2,3,1,4,6,5]=>1
[2,3,1,5,4,6,7]=>[2,3,1,5,4,6]=>1
[2,3,1,5,4,7,6]=>[2,3,1,5,4,6]=>1
[2,3,1,5,6,4,7]=>[2,3,1,5,6,4]=>1
[2,3,1,5,6,7,4]=>[2,3,1,5,6,4]=>1
[2,3,1,5,7,4,6]=>[2,3,1,5,4,6]=>1
[2,3,1,5,7,6,4]=>[2,3,1,5,6,4]=>1
[2,3,1,6,4,5,7]=>[2,3,1,6,4,5]=>1
[2,3,1,6,4,7,5]=>[2,3,1,6,4,5]=>1
[2,3,1,6,5,4,7]=>[2,3,1,6,5,4]=>1
[2,3,1,6,5,7,4]=>[2,3,1,6,5,4]=>1
[2,3,1,6,7,4,5]=>[2,3,1,6,4,5]=>1
[2,3,1,6,7,5,4]=>[2,3,1,6,5,4]=>1
[2,3,1,7,4,5,6]=>[2,3,1,4,5,6]=>1
[2,3,1,7,4,6,5]=>[2,3,1,4,6,5]=>1
[2,3,1,7,5,4,6]=>[2,3,1,5,4,6]=>1
[2,3,1,7,5,6,4]=>[2,3,1,5,6,4]=>1
[2,3,1,7,6,4,5]=>[2,3,1,6,4,5]=>1
[2,3,1,7,6,5,4]=>[2,3,1,6,5,4]=>1
[2,3,4,1,5,6,7]=>[2,3,4,1,5,6]=>1
[2,3,4,1,5,7,6]=>[2,3,4,1,5,6]=>1
[2,3,4,1,6,5,7]=>[2,3,4,1,6,5]=>1
[2,3,4,1,6,7,5]=>[2,3,4,1,6,5]=>1
[2,3,4,1,7,5,6]=>[2,3,4,1,5,6]=>1
[2,3,4,1,7,6,5]=>[2,3,4,1,6,5]=>1
[2,3,4,5,1,6,7]=>[2,3,4,5,1,6]=>1
[2,3,4,5,1,7,6]=>[2,3,4,5,1,6]=>1
[2,3,4,5,6,1,7]=>[2,3,4,5,6,1]=>1
[2,3,4,5,6,7,1]=>[2,3,4,5,6,1]=>1
[2,3,4,5,7,1,6]=>[2,3,4,5,1,6]=>1
[2,3,4,5,7,6,1]=>[2,3,4,5,6,1]=>1
[2,3,4,6,1,5,7]=>[2,3,4,6,1,5]=>1
[2,3,4,6,1,7,5]=>[2,3,4,6,1,5]=>1
[2,3,4,6,5,1,7]=>[2,3,4,6,5,1]=>1
[2,3,4,6,5,7,1]=>[2,3,4,6,5,1]=>1
[2,3,4,6,7,1,5]=>[2,3,4,6,1,5]=>1
[2,3,4,6,7,5,1]=>[2,3,4,6,5,1]=>1
[2,3,4,7,1,5,6]=>[2,3,4,1,5,6]=>1
[2,3,4,7,1,6,5]=>[2,3,4,1,6,5]=>1
[2,3,4,7,5,1,6]=>[2,3,4,5,1,6]=>1
[2,3,4,7,5,6,1]=>[2,3,4,5,6,1]=>1
[2,3,4,7,6,1,5]=>[2,3,4,6,1,5]=>1
[2,3,4,7,6,5,1]=>[2,3,4,6,5,1]=>1
[2,3,5,1,4,6,7]=>[2,3,5,1,4,6]=>1
[2,3,5,1,4,7,6]=>[2,3,5,1,4,6]=>1
[2,3,5,1,6,4,7]=>[2,3,5,1,6,4]=>1
[2,3,5,1,6,7,4]=>[2,3,5,1,6,4]=>1
[2,3,5,1,7,4,6]=>[2,3,5,1,4,6]=>1
[2,3,5,1,7,6,4]=>[2,3,5,1,6,4]=>1
[2,3,5,4,1,6,7]=>[2,3,5,4,1,6]=>1
[2,3,5,4,1,7,6]=>[2,3,5,4,1,6]=>1
[2,3,5,4,6,1,7]=>[2,3,5,4,6,1]=>1
[2,3,5,4,6,7,1]=>[2,3,5,4,6,1]=>1
[2,3,5,4,7,1,6]=>[2,3,5,4,1,6]=>1
[2,3,5,4,7,6,1]=>[2,3,5,4,6,1]=>1
[2,3,5,6,1,4,7]=>[2,3,5,6,1,4]=>2
[2,3,5,6,1,7,4]=>[2,3,5,6,1,4]=>2
[2,3,5,6,4,1,7]=>[2,3,5,6,4,1]=>1
[2,3,5,6,4,7,1]=>[2,3,5,6,4,1]=>1
[2,3,5,6,7,1,4]=>[2,3,5,6,1,4]=>2
[2,3,5,6,7,4,1]=>[2,3,5,6,4,1]=>1
[2,3,5,7,1,4,6]=>[2,3,5,1,4,6]=>1
[2,3,5,7,1,6,4]=>[2,3,5,1,6,4]=>1
[2,3,5,7,4,1,6]=>[2,3,5,4,1,6]=>1
[2,3,5,7,4,6,1]=>[2,3,5,4,6,1]=>1
[2,3,5,7,6,1,4]=>[2,3,5,6,1,4]=>2
[2,3,5,7,6,4,1]=>[2,3,5,6,4,1]=>1
[2,3,6,1,4,5,7]=>[2,3,6,1,4,5]=>1
[2,3,6,1,4,7,5]=>[2,3,6,1,4,5]=>1
[2,3,6,1,5,4,7]=>[2,3,6,1,5,4]=>1
[2,3,6,1,5,7,4]=>[2,3,6,1,5,4]=>1
[2,3,6,1,7,4,5]=>[2,3,6,1,4,5]=>1
[2,3,6,1,7,5,4]=>[2,3,6,1,5,4]=>1
[2,3,6,4,1,5,7]=>[2,3,6,4,1,5]=>1
[2,3,6,4,1,7,5]=>[2,3,6,4,1,5]=>1
[2,3,6,4,5,1,7]=>[2,3,6,4,5,1]=>2
[2,3,6,4,5,7,1]=>[2,3,6,4,5,1]=>2
[2,3,6,4,7,1,5]=>[2,3,6,4,1,5]=>1
[2,3,6,4,7,5,1]=>[2,3,6,4,5,1]=>2
[2,3,6,5,1,4,7]=>[2,3,6,5,1,4]=>1
[2,3,6,5,1,7,4]=>[2,3,6,5,1,4]=>1
[2,3,6,5,4,1,7]=>[2,3,6,5,4,1]=>1
[2,3,6,5,4,7,1]=>[2,3,6,5,4,1]=>1
[2,3,6,5,7,1,4]=>[2,3,6,5,1,4]=>1
[2,3,6,5,7,4,1]=>[2,3,6,5,4,1]=>1
[2,3,6,7,1,4,5]=>[2,3,6,1,4,5]=>1
[2,3,6,7,1,5,4]=>[2,3,6,1,5,4]=>1
[2,3,6,7,4,1,5]=>[2,3,6,4,1,5]=>1
[2,3,6,7,4,5,1]=>[2,3,6,4,5,1]=>2
[2,3,6,7,5,1,4]=>[2,3,6,5,1,4]=>1
[2,3,6,7,5,4,1]=>[2,3,6,5,4,1]=>1
[2,3,7,1,4,5,6]=>[2,3,1,4,5,6]=>1
[2,3,7,1,4,6,5]=>[2,3,1,4,6,5]=>1
[2,3,7,1,5,4,6]=>[2,3,1,5,4,6]=>1
[2,3,7,1,5,6,4]=>[2,3,1,5,6,4]=>1
[2,3,7,1,6,4,5]=>[2,3,1,6,4,5]=>1
[2,3,7,1,6,5,4]=>[2,3,1,6,5,4]=>1
[2,3,7,4,1,5,6]=>[2,3,4,1,5,6]=>1
[2,3,7,4,1,6,5]=>[2,3,4,1,6,5]=>1
[2,3,7,4,5,1,6]=>[2,3,4,5,1,6]=>1
[2,3,7,4,5,6,1]=>[2,3,4,5,6,1]=>1
[2,3,7,4,6,1,5]=>[2,3,4,6,1,5]=>1
[2,3,7,4,6,5,1]=>[2,3,4,6,5,1]=>1
[2,3,7,5,1,4,6]=>[2,3,5,1,4,6]=>1
[2,3,7,5,1,6,4]=>[2,3,5,1,6,4]=>1
[2,3,7,5,4,1,6]=>[2,3,5,4,1,6]=>1
[2,3,7,5,4,6,1]=>[2,3,5,4,6,1]=>1
[2,3,7,5,6,1,4]=>[2,3,5,6,1,4]=>2
[2,3,7,5,6,4,1]=>[2,3,5,6,4,1]=>1
[2,3,7,6,1,4,5]=>[2,3,6,1,4,5]=>1
[2,3,7,6,1,5,4]=>[2,3,6,1,5,4]=>1
[2,3,7,6,4,1,5]=>[2,3,6,4,1,5]=>1
[2,3,7,6,4,5,1]=>[2,3,6,4,5,1]=>2
[2,3,7,6,5,1,4]=>[2,3,6,5,1,4]=>1
[2,3,7,6,5,4,1]=>[2,3,6,5,4,1]=>1
[2,4,1,3,5,6,7]=>[2,4,1,3,5,6]=>1
[2,4,1,3,5,7,6]=>[2,4,1,3,5,6]=>1
[2,4,1,3,6,5,7]=>[2,4,1,3,6,5]=>1
[2,4,1,3,6,7,5]=>[2,4,1,3,6,5]=>1
[2,4,1,3,7,5,6]=>[2,4,1,3,5,6]=>1
[2,4,1,3,7,6,5]=>[2,4,1,3,6,5]=>1
[2,4,1,5,3,6,7]=>[2,4,1,5,3,6]=>1
[2,4,1,5,3,7,6]=>[2,4,1,5,3,6]=>1
[2,4,1,5,6,3,7]=>[2,4,1,5,6,3]=>1
[2,4,1,5,6,7,3]=>[2,4,1,5,6,3]=>1
[2,4,1,5,7,3,6]=>[2,4,1,5,3,6]=>1
[2,4,1,5,7,6,3]=>[2,4,1,5,6,3]=>1
[2,4,1,6,3,5,7]=>[2,4,1,6,3,5]=>1
[2,4,1,6,3,7,5]=>[2,4,1,6,3,5]=>1
[2,4,1,6,5,3,7]=>[2,4,1,6,5,3]=>1
[2,4,1,6,5,7,3]=>[2,4,1,6,5,3]=>1
[2,4,1,6,7,3,5]=>[2,4,1,6,3,5]=>1
[2,4,1,6,7,5,3]=>[2,4,1,6,5,3]=>1
[2,4,1,7,3,5,6]=>[2,4,1,3,5,6]=>1
[2,4,1,7,3,6,5]=>[2,4,1,3,6,5]=>1
[2,4,1,7,5,3,6]=>[2,4,1,5,3,6]=>1
[2,4,1,7,5,6,3]=>[2,4,1,5,6,3]=>1
[2,4,1,7,6,3,5]=>[2,4,1,6,3,5]=>1
[2,4,1,7,6,5,3]=>[2,4,1,6,5,3]=>1
[2,4,3,1,5,6,7]=>[2,4,3,1,5,6]=>1
[2,4,3,1,5,7,6]=>[2,4,3,1,5,6]=>1
[2,4,3,1,6,5,7]=>[2,4,3,1,6,5]=>1
[2,4,3,1,6,7,5]=>[2,4,3,1,6,5]=>1
[2,4,3,1,7,5,6]=>[2,4,3,1,5,6]=>1
[2,4,3,1,7,6,5]=>[2,4,3,1,6,5]=>1
[2,4,3,5,1,6,7]=>[2,4,3,5,1,6]=>1
[2,4,3,5,1,7,6]=>[2,4,3,5,1,6]=>1
[2,4,3,5,6,1,7]=>[2,4,3,5,6,1]=>1
[2,4,3,5,6,7,1]=>[2,4,3,5,6,1]=>1
[2,4,3,5,7,1,6]=>[2,4,3,5,1,6]=>1
[2,4,3,5,7,6,1]=>[2,4,3,5,6,1]=>1
[2,4,3,6,1,5,7]=>[2,4,3,6,1,5]=>1
[2,4,3,6,1,7,5]=>[2,4,3,6,1,5]=>1
[2,4,3,6,5,1,7]=>[2,4,3,6,5,1]=>1
[2,4,3,6,5,7,1]=>[2,4,3,6,5,1]=>1
[2,4,3,6,7,1,5]=>[2,4,3,6,1,5]=>1
[2,4,3,6,7,5,1]=>[2,4,3,6,5,1]=>1
[2,4,3,7,1,5,6]=>[2,4,3,1,5,6]=>1
[2,4,3,7,1,6,5]=>[2,4,3,1,6,5]=>1
[2,4,3,7,5,1,6]=>[2,4,3,5,1,6]=>1
[2,4,3,7,5,6,1]=>[2,4,3,5,6,1]=>1
[2,4,3,7,6,1,5]=>[2,4,3,6,1,5]=>1
[2,4,3,7,6,5,1]=>[2,4,3,6,5,1]=>1
[2,4,5,1,3,6,7]=>[2,4,5,1,3,6]=>2
[2,4,5,1,3,7,6]=>[2,4,5,1,3,6]=>2
[2,4,5,1,6,3,7]=>[2,4,5,1,6,3]=>2
[2,4,5,1,6,7,3]=>[2,4,5,1,6,3]=>2
[2,4,5,1,7,3,6]=>[2,4,5,1,3,6]=>2
[2,4,5,1,7,6,3]=>[2,4,5,1,6,3]=>2
[2,4,5,3,1,6,7]=>[2,4,5,3,1,6]=>1
[2,4,5,3,1,7,6]=>[2,4,5,3,1,6]=>1
[2,4,5,3,6,1,7]=>[2,4,5,3,6,1]=>1
[2,4,5,3,6,7,1]=>[2,4,5,3,6,1]=>1
[2,4,5,3,7,1,6]=>[2,4,5,3,1,6]=>1
[2,4,5,3,7,6,1]=>[2,4,5,3,6,1]=>1
[2,4,5,6,1,3,7]=>[2,4,5,6,1,3]=>3
[2,4,5,6,1,7,3]=>[2,4,5,6,1,3]=>3
[2,4,5,6,3,1,7]=>[2,4,5,6,3,1]=>1
[2,4,5,6,3,7,1]=>[2,4,5,6,3,1]=>1
[2,4,5,6,7,1,3]=>[2,4,5,6,1,3]=>3
[2,4,5,6,7,3,1]=>[2,4,5,6,3,1]=>1
[2,4,5,7,1,3,6]=>[2,4,5,1,3,6]=>2
[2,4,5,7,1,6,3]=>[2,4,5,1,6,3]=>2
[2,4,5,7,3,1,6]=>[2,4,5,3,1,6]=>1
[2,4,5,7,3,6,1]=>[2,4,5,3,6,1]=>1
[2,4,5,7,6,1,3]=>[2,4,5,6,1,3]=>3
[2,4,5,7,6,3,1]=>[2,4,5,6,3,1]=>1
[2,4,6,1,3,5,7]=>[2,4,6,1,3,5]=>2
[2,4,6,1,3,7,5]=>[2,4,6,1,3,5]=>2
[2,4,6,1,5,3,7]=>[2,4,6,1,5,3]=>2
[2,4,6,1,5,7,3]=>[2,4,6,1,5,3]=>2
[2,4,6,1,7,3,5]=>[2,4,6,1,3,5]=>2
[2,4,6,1,7,5,3]=>[2,4,6,1,5,3]=>2
[2,4,6,3,1,5,7]=>[2,4,6,3,1,5]=>1
[2,4,6,3,1,7,5]=>[2,4,6,3,1,5]=>1
[2,4,6,3,5,1,7]=>[2,4,6,3,5,1]=>2
[2,4,6,3,5,7,1]=>[2,4,6,3,5,1]=>2
[2,4,6,3,7,1,5]=>[2,4,6,3,1,5]=>1
[2,4,6,3,7,5,1]=>[2,4,6,3,5,1]=>2
[2,4,6,5,1,3,7]=>[2,4,6,5,1,3]=>2
[2,4,6,5,1,7,3]=>[2,4,6,5,1,3]=>2
[2,4,6,5,3,1,7]=>[2,4,6,5,3,1]=>1
[2,4,6,5,3,7,1]=>[2,4,6,5,3,1]=>1
[2,4,6,5,7,1,3]=>[2,4,6,5,1,3]=>2
[2,4,6,5,7,3,1]=>[2,4,6,5,3,1]=>1
[2,4,6,7,1,3,5]=>[2,4,6,1,3,5]=>2
[2,4,6,7,1,5,3]=>[2,4,6,1,5,3]=>2
[2,4,6,7,3,1,5]=>[2,4,6,3,1,5]=>1
[2,4,6,7,3,5,1]=>[2,4,6,3,5,1]=>2
[2,4,6,7,5,1,3]=>[2,4,6,5,1,3]=>2
[2,4,6,7,5,3,1]=>[2,4,6,5,3,1]=>1
[2,4,7,1,3,5,6]=>[2,4,1,3,5,6]=>1
[2,4,7,1,3,6,5]=>[2,4,1,3,6,5]=>1
[2,4,7,1,5,3,6]=>[2,4,1,5,3,6]=>1
[2,4,7,1,5,6,3]=>[2,4,1,5,6,3]=>1
[2,4,7,1,6,3,5]=>[2,4,1,6,3,5]=>1
[2,4,7,1,6,5,3]=>[2,4,1,6,5,3]=>1
[2,4,7,3,1,5,6]=>[2,4,3,1,5,6]=>1
[2,4,7,3,1,6,5]=>[2,4,3,1,6,5]=>1
[2,4,7,3,5,1,6]=>[2,4,3,5,1,6]=>1
[2,4,7,3,5,6,1]=>[2,4,3,5,6,1]=>1
[2,4,7,3,6,1,5]=>[2,4,3,6,1,5]=>1
[2,4,7,3,6,5,1]=>[2,4,3,6,5,1]=>1
[2,4,7,5,1,3,6]=>[2,4,5,1,3,6]=>2
[2,4,7,5,1,6,3]=>[2,4,5,1,6,3]=>2
[2,4,7,5,3,1,6]=>[2,4,5,3,1,6]=>1
[2,4,7,5,3,6,1]=>[2,4,5,3,6,1]=>1
[2,4,7,5,6,1,3]=>[2,4,5,6,1,3]=>3
[2,4,7,5,6,3,1]=>[2,4,5,6,3,1]=>1
[2,4,7,6,1,3,5]=>[2,4,6,1,3,5]=>2
[2,4,7,6,1,5,3]=>[2,4,6,1,5,3]=>2
[2,4,7,6,3,1,5]=>[2,4,6,3,1,5]=>1
[2,4,7,6,3,5,1]=>[2,4,6,3,5,1]=>2
[2,4,7,6,5,1,3]=>[2,4,6,5,1,3]=>2
[2,4,7,6,5,3,1]=>[2,4,6,5,3,1]=>1
[2,5,1,3,4,6,7]=>[2,5,1,3,4,6]=>1
[2,5,1,3,4,7,6]=>[2,5,1,3,4,6]=>1
[2,5,1,3,6,4,7]=>[2,5,1,3,6,4]=>1
[2,5,1,3,6,7,4]=>[2,5,1,3,6,4]=>1
[2,5,1,3,7,4,6]=>[2,5,1,3,4,6]=>1
[2,5,1,3,7,6,4]=>[2,5,1,3,6,4]=>1
[2,5,1,4,3,6,7]=>[2,5,1,4,3,6]=>1
[2,5,1,4,3,7,6]=>[2,5,1,4,3,6]=>1
[2,5,1,4,6,3,7]=>[2,5,1,4,6,3]=>1
[2,5,1,4,6,7,3]=>[2,5,1,4,6,3]=>1
[2,5,1,4,7,3,6]=>[2,5,1,4,3,6]=>1
[2,5,1,4,7,6,3]=>[2,5,1,4,6,3]=>1
[2,5,1,6,3,4,7]=>[2,5,1,6,3,4]=>2
[2,5,1,6,3,7,4]=>[2,5,1,6,3,4]=>2
[2,5,1,6,4,3,7]=>[2,5,1,6,4,3]=>1
[2,5,1,6,4,7,3]=>[2,5,1,6,4,3]=>1
[2,5,1,6,7,3,4]=>[2,5,1,6,3,4]=>2
[2,5,1,6,7,4,3]=>[2,5,1,6,4,3]=>1
[2,5,1,7,3,4,6]=>[2,5,1,3,4,6]=>1
[2,5,1,7,3,6,4]=>[2,5,1,3,6,4]=>1
[2,5,1,7,4,3,6]=>[2,5,1,4,3,6]=>1
[2,5,1,7,4,6,3]=>[2,5,1,4,6,3]=>1
[2,5,1,7,6,3,4]=>[2,5,1,6,3,4]=>2
[2,5,1,7,6,4,3]=>[2,5,1,6,4,3]=>1
[2,5,3,1,4,6,7]=>[2,5,3,1,4,6]=>1
[2,5,3,1,4,7,6]=>[2,5,3,1,4,6]=>1
[2,5,3,1,6,4,7]=>[2,5,3,1,6,4]=>1
[2,5,3,1,6,7,4]=>[2,5,3,1,6,4]=>1
[2,5,3,1,7,4,6]=>[2,5,3,1,4,6]=>1
[2,5,3,1,7,6,4]=>[2,5,3,1,6,4]=>1
[2,5,3,4,1,6,7]=>[2,5,3,4,1,6]=>2
[2,5,3,4,1,7,6]=>[2,5,3,4,1,6]=>2
[2,5,3,4,6,1,7]=>[2,5,3,4,6,1]=>2
[2,5,3,4,6,7,1]=>[2,5,3,4,6,1]=>2
[2,5,3,4,7,1,6]=>[2,5,3,4,1,6]=>2
[2,5,3,4,7,6,1]=>[2,5,3,4,6,1]=>2
[2,5,3,6,1,4,7]=>[2,5,3,6,1,4]=>2
[2,5,3,6,1,7,4]=>[2,5,3,6,1,4]=>2
[2,5,3,6,4,1,7]=>[2,5,3,6,4,1]=>2
[2,5,3,6,4,7,1]=>[2,5,3,6,4,1]=>2
[2,5,3,6,7,1,4]=>[2,5,3,6,1,4]=>2
[2,5,3,6,7,4,1]=>[2,5,3,6,4,1]=>2
[2,5,3,7,1,4,6]=>[2,5,3,1,4,6]=>1
[2,5,3,7,1,6,4]=>[2,5,3,1,6,4]=>1
[2,5,3,7,4,1,6]=>[2,5,3,4,1,6]=>2
[2,5,3,7,4,6,1]=>[2,5,3,4,6,1]=>2
[2,5,3,7,6,1,4]=>[2,5,3,6,1,4]=>2
[2,5,3,7,6,4,1]=>[2,5,3,6,4,1]=>2
[2,5,4,1,3,6,7]=>[2,5,4,1,3,6]=>1
[2,5,4,1,3,7,6]=>[2,5,4,1,3,6]=>1
[2,5,4,1,6,3,7]=>[2,5,4,1,6,3]=>1
[2,5,4,1,6,7,3]=>[2,5,4,1,6,3]=>1
[2,5,4,1,7,3,6]=>[2,5,4,1,3,6]=>1
[2,5,4,1,7,6,3]=>[2,5,4,1,6,3]=>1
[2,5,4,3,1,6,7]=>[2,5,4,3,1,6]=>1
[2,5,4,3,1,7,6]=>[2,5,4,3,1,6]=>1
[2,5,4,3,6,1,7]=>[2,5,4,3,6,1]=>1
[2,5,4,3,6,7,1]=>[2,5,4,3,6,1]=>1
[2,5,4,3,7,1,6]=>[2,5,4,3,1,6]=>1
[2,5,4,3,7,6,1]=>[2,5,4,3,6,1]=>1
[2,5,4,6,1,3,7]=>[2,5,4,6,1,3]=>2
[2,5,4,6,1,7,3]=>[2,5,4,6,1,3]=>2
[2,5,4,6,3,1,7]=>[2,5,4,6,3,1]=>1
[2,5,4,6,3,7,1]=>[2,5,4,6,3,1]=>1
[2,5,4,6,7,1,3]=>[2,5,4,6,1,3]=>2
[2,5,4,6,7,3,1]=>[2,5,4,6,3,1]=>1
[2,5,4,7,1,3,6]=>[2,5,4,1,3,6]=>1
[2,5,4,7,1,6,3]=>[2,5,4,1,6,3]=>1
[2,5,4,7,3,1,6]=>[2,5,4,3,1,6]=>1
[2,5,4,7,3,6,1]=>[2,5,4,3,6,1]=>1
[2,5,4,7,6,1,3]=>[2,5,4,6,1,3]=>2
[2,5,4,7,6,3,1]=>[2,5,4,6,3,1]=>1
[2,5,6,1,3,4,7]=>[2,5,6,1,3,4]=>3
[2,5,6,1,3,7,4]=>[2,5,6,1,3,4]=>3
[2,5,6,1,4,3,7]=>[2,5,6,1,4,3]=>2
[2,5,6,1,4,7,3]=>[2,5,6,1,4,3]=>2
[2,5,6,1,7,3,4]=>[2,5,6,1,3,4]=>3
[2,5,6,1,7,4,3]=>[2,5,6,1,4,3]=>2
[2,5,6,3,1,4,7]=>[2,5,6,3,1,4]=>2
[2,5,6,3,1,7,4]=>[2,5,6,3,1,4]=>2
[2,5,6,3,4,1,7]=>[2,5,6,3,4,1]=>3
[2,5,6,3,4,7,1]=>[2,5,6,3,4,1]=>3
[2,5,6,3,7,1,4]=>[2,5,6,3,1,4]=>2
[2,5,6,3,7,4,1]=>[2,5,6,3,4,1]=>3
[2,5,6,4,1,3,7]=>[2,5,6,4,1,3]=>2
[2,5,6,4,1,7,3]=>[2,5,6,4,1,3]=>2
[2,5,6,4,3,1,7]=>[2,5,6,4,3,1]=>1
[2,5,6,4,3,7,1]=>[2,5,6,4,3,1]=>1
[2,5,6,4,7,1,3]=>[2,5,6,4,1,3]=>2
[2,5,6,4,7,3,1]=>[2,5,6,4,3,1]=>1
[2,5,6,7,1,3,4]=>[2,5,6,1,3,4]=>3
[2,5,6,7,1,4,3]=>[2,5,6,1,4,3]=>2
[2,5,6,7,3,1,4]=>[2,5,6,3,1,4]=>2
[2,5,6,7,3,4,1]=>[2,5,6,3,4,1]=>3
[2,5,6,7,4,1,3]=>[2,5,6,4,1,3]=>2
[2,5,6,7,4,3,1]=>[2,5,6,4,3,1]=>1
[2,5,7,1,3,4,6]=>[2,5,1,3,4,6]=>1
[2,5,7,1,3,6,4]=>[2,5,1,3,6,4]=>1
[2,5,7,1,4,3,6]=>[2,5,1,4,3,6]=>1
[2,5,7,1,4,6,3]=>[2,5,1,4,6,3]=>1
[2,5,7,1,6,3,4]=>[2,5,1,6,3,4]=>2
[2,5,7,1,6,4,3]=>[2,5,1,6,4,3]=>1
[2,5,7,3,1,4,6]=>[2,5,3,1,4,6]=>1
[2,5,7,3,1,6,4]=>[2,5,3,1,6,4]=>1
[2,5,7,3,4,1,6]=>[2,5,3,4,1,6]=>2
[2,5,7,3,4,6,1]=>[2,5,3,4,6,1]=>2
[2,5,7,3,6,1,4]=>[2,5,3,6,1,4]=>2
[2,5,7,3,6,4,1]=>[2,5,3,6,4,1]=>2
[2,5,7,4,1,3,6]=>[2,5,4,1,3,6]=>1
[2,5,7,4,1,6,3]=>[2,5,4,1,6,3]=>1
[2,5,7,4,3,1,6]=>[2,5,4,3,1,6]=>1
[2,5,7,4,3,6,1]=>[2,5,4,3,6,1]=>1
[2,5,7,4,6,1,3]=>[2,5,4,6,1,3]=>2
[2,5,7,4,6,3,1]=>[2,5,4,6,3,1]=>1
[2,5,7,6,1,3,4]=>[2,5,6,1,3,4]=>3
[2,5,7,6,1,4,3]=>[2,5,6,1,4,3]=>2
[2,5,7,6,3,1,4]=>[2,5,6,3,1,4]=>2
[2,5,7,6,3,4,1]=>[2,5,6,3,4,1]=>3
[2,5,7,6,4,1,3]=>[2,5,6,4,1,3]=>2
[2,5,7,6,4,3,1]=>[2,5,6,4,3,1]=>1
[2,6,1,3,4,5,7]=>[2,6,1,3,4,5]=>1
[2,6,1,3,4,7,5]=>[2,6,1,3,4,5]=>1
[2,6,1,3,5,4,7]=>[2,6,1,3,5,4]=>1
[2,6,1,3,5,7,4]=>[2,6,1,3,5,4]=>1
[2,6,1,3,7,4,5]=>[2,6,1,3,4,5]=>1
[2,6,1,3,7,5,4]=>[2,6,1,3,5,4]=>1
[2,6,1,4,3,5,7]=>[2,6,1,4,3,5]=>1
[2,6,1,4,3,7,5]=>[2,6,1,4,3,5]=>1
[2,6,1,4,5,3,7]=>[2,6,1,4,5,3]=>2
[2,6,1,4,5,7,3]=>[2,6,1,4,5,3]=>2
[2,6,1,4,7,3,5]=>[2,6,1,4,3,5]=>1
[2,6,1,4,7,5,3]=>[2,6,1,4,5,3]=>2
[2,6,1,5,3,4,7]=>[2,6,1,5,3,4]=>1
[2,6,1,5,3,7,4]=>[2,6,1,5,3,4]=>1
[2,6,1,5,4,3,7]=>[2,6,1,5,4,3]=>1
[2,6,1,5,4,7,3]=>[2,6,1,5,4,3]=>1
[2,6,1,5,7,3,4]=>[2,6,1,5,3,4]=>1
[2,6,1,5,7,4,3]=>[2,6,1,5,4,3]=>1
[2,6,1,7,3,4,5]=>[2,6,1,3,4,5]=>1
[2,6,1,7,3,5,4]=>[2,6,1,3,5,4]=>1
[2,6,1,7,4,3,5]=>[2,6,1,4,3,5]=>1
[2,6,1,7,4,5,3]=>[2,6,1,4,5,3]=>2
[2,6,1,7,5,3,4]=>[2,6,1,5,3,4]=>1
[2,6,1,7,5,4,3]=>[2,6,1,5,4,3]=>1
[2,6,3,1,4,5,7]=>[2,6,3,1,4,5]=>1
[2,6,3,1,4,7,5]=>[2,6,3,1,4,5]=>1
[2,6,3,1,5,4,7]=>[2,6,3,1,5,4]=>1
[2,6,3,1,5,7,4]=>[2,6,3,1,5,4]=>1
[2,6,3,1,7,4,5]=>[2,6,3,1,4,5]=>1
[2,6,3,1,7,5,4]=>[2,6,3,1,5,4]=>1
[2,6,3,4,1,5,7]=>[2,6,3,4,1,5]=>2
[2,6,3,4,1,7,5]=>[2,6,3,4,1,5]=>2
[2,6,3,4,5,1,7]=>[2,6,3,4,5,1]=>4
[2,6,3,4,5,7,1]=>[2,6,3,4,5,1]=>4
[2,6,3,4,7,1,5]=>[2,6,3,4,1,5]=>2
[2,6,3,4,7,5,1]=>[2,6,3,4,5,1]=>4
[2,6,3,5,1,4,7]=>[2,6,3,5,1,4]=>2
[2,6,3,5,1,7,4]=>[2,6,3,5,1,4]=>2
[2,6,3,5,4,1,7]=>[2,6,3,5,4,1]=>2
[2,6,3,5,4,7,1]=>[2,6,3,5,4,1]=>2
[2,6,3,5,7,1,4]=>[2,6,3,5,1,4]=>2
[2,6,3,5,7,4,1]=>[2,6,3,5,4,1]=>2
[2,6,3,7,1,4,5]=>[2,6,3,1,4,5]=>1
[2,6,3,7,1,5,4]=>[2,6,3,1,5,4]=>1
[2,6,3,7,4,1,5]=>[2,6,3,4,1,5]=>2
[2,6,3,7,4,5,1]=>[2,6,3,4,5,1]=>4
[2,6,3,7,5,1,4]=>[2,6,3,5,1,4]=>2
[2,6,3,7,5,4,1]=>[2,6,3,5,4,1]=>2
[2,6,4,1,3,5,7]=>[2,6,4,1,3,5]=>1
[2,6,4,1,3,7,5]=>[2,6,4,1,3,5]=>1
[2,6,4,1,5,3,7]=>[2,6,4,1,5,3]=>2
[2,6,4,1,5,7,3]=>[2,6,4,1,5,3]=>2
[2,6,4,1,7,3,5]=>[2,6,4,1,3,5]=>1
[2,6,4,1,7,5,3]=>[2,6,4,1,5,3]=>2
[2,6,4,3,1,5,7]=>[2,6,4,3,1,5]=>1
[2,6,4,3,1,7,5]=>[2,6,4,3,1,5]=>1
[2,6,4,3,5,1,7]=>[2,6,4,3,5,1]=>2
[2,6,4,3,5,7,1]=>[2,6,4,3,5,1]=>2
[2,6,4,3,7,1,5]=>[2,6,4,3,1,5]=>1
[2,6,4,3,7,5,1]=>[2,6,4,3,5,1]=>2
[2,6,4,5,1,3,7]=>[2,6,4,5,1,3]=>3
[2,6,4,5,1,7,3]=>[2,6,4,5,1,3]=>3
[2,6,4,5,3,1,7]=>[2,6,4,5,3,1]=>2
[2,6,4,5,3,7,1]=>[2,6,4,5,3,1]=>2
[2,6,4,5,7,1,3]=>[2,6,4,5,1,3]=>3
[2,6,4,5,7,3,1]=>[2,6,4,5,3,1]=>2
[2,6,4,7,1,3,5]=>[2,6,4,1,3,5]=>1
[2,6,4,7,1,5,3]=>[2,6,4,1,5,3]=>2
[2,6,4,7,3,1,5]=>[2,6,4,3,1,5]=>1
[2,6,4,7,3,5,1]=>[2,6,4,3,5,1]=>2
[2,6,4,7,5,1,3]=>[2,6,4,5,1,3]=>3
[2,6,4,7,5,3,1]=>[2,6,4,5,3,1]=>2
[2,6,5,1,3,4,7]=>[2,6,5,1,3,4]=>1
[2,6,5,1,3,7,4]=>[2,6,5,1,3,4]=>1
[2,6,5,1,4,3,7]=>[2,6,5,1,4,3]=>1
[2,6,5,1,4,7,3]=>[2,6,5,1,4,3]=>1
[2,6,5,1,7,3,4]=>[2,6,5,1,3,4]=>1
[2,6,5,1,7,4,3]=>[2,6,5,1,4,3]=>1
[2,6,5,3,1,4,7]=>[2,6,5,3,1,4]=>1
[2,6,5,3,1,7,4]=>[2,6,5,3,1,4]=>1
[2,6,5,3,4,1,7]=>[2,6,5,3,4,1]=>2
[2,6,5,3,4,7,1]=>[2,6,5,3,4,1]=>2
[2,6,5,3,7,1,4]=>[2,6,5,3,1,4]=>1
[2,6,5,3,7,4,1]=>[2,6,5,3,4,1]=>2
[2,6,5,4,1,3,7]=>[2,6,5,4,1,3]=>1
[2,6,5,4,1,7,3]=>[2,6,5,4,1,3]=>1
[2,6,5,4,3,1,7]=>[2,6,5,4,3,1]=>1
[2,6,5,4,3,7,1]=>[2,6,5,4,3,1]=>1
[2,6,5,4,7,1,3]=>[2,6,5,4,1,3]=>1
[2,6,5,4,7,3,1]=>[2,6,5,4,3,1]=>1
[2,6,5,7,1,3,4]=>[2,6,5,1,3,4]=>1
[2,6,5,7,1,4,3]=>[2,6,5,1,4,3]=>1
[2,6,5,7,3,1,4]=>[2,6,5,3,1,4]=>1
[2,6,5,7,3,4,1]=>[2,6,5,3,4,1]=>2
[2,6,5,7,4,1,3]=>[2,6,5,4,1,3]=>1
[2,6,5,7,4,3,1]=>[2,6,5,4,3,1]=>1
[2,6,7,1,3,4,5]=>[2,6,1,3,4,5]=>1
[2,6,7,1,3,5,4]=>[2,6,1,3,5,4]=>1
[2,6,7,1,4,3,5]=>[2,6,1,4,3,5]=>1
[2,6,7,1,4,5,3]=>[2,6,1,4,5,3]=>2
[2,6,7,1,5,3,4]=>[2,6,1,5,3,4]=>1
[2,6,7,1,5,4,3]=>[2,6,1,5,4,3]=>1
[2,6,7,3,1,4,5]=>[2,6,3,1,4,5]=>1
[2,6,7,3,1,5,4]=>[2,6,3,1,5,4]=>1
[2,6,7,3,4,1,5]=>[2,6,3,4,1,5]=>2
[2,6,7,3,4,5,1]=>[2,6,3,4,5,1]=>4
[2,6,7,3,5,1,4]=>[2,6,3,5,1,4]=>2
[2,6,7,3,5,4,1]=>[2,6,3,5,4,1]=>2
[2,6,7,4,1,3,5]=>[2,6,4,1,3,5]=>1
[2,6,7,4,1,5,3]=>[2,6,4,1,5,3]=>2
[2,6,7,4,3,1,5]=>[2,6,4,3,1,5]=>1
[2,6,7,4,3,5,1]=>[2,6,4,3,5,1]=>2
[2,6,7,4,5,1,3]=>[2,6,4,5,1,3]=>3
[2,6,7,4,5,3,1]=>[2,6,4,5,3,1]=>2
[2,6,7,5,1,3,4]=>[2,6,5,1,3,4]=>1
[2,6,7,5,1,4,3]=>[2,6,5,1,4,3]=>1
[2,6,7,5,3,1,4]=>[2,6,5,3,1,4]=>1
[2,6,7,5,3,4,1]=>[2,6,5,3,4,1]=>2
[2,6,7,5,4,1,3]=>[2,6,5,4,1,3]=>1
[2,6,7,5,4,3,1]=>[2,6,5,4,3,1]=>1
[2,7,1,3,4,5,6]=>[2,1,3,4,5,6]=>1
[2,7,1,3,4,6,5]=>[2,1,3,4,6,5]=>1
[2,7,1,3,5,4,6]=>[2,1,3,5,4,6]=>1
[2,7,1,3,5,6,4]=>[2,1,3,5,6,4]=>1
[2,7,1,3,6,4,5]=>[2,1,3,6,4,5]=>1
[2,7,1,3,6,5,4]=>[2,1,3,6,5,4]=>1
[2,7,1,4,3,5,6]=>[2,1,4,3,5,6]=>1
[2,7,1,4,3,6,5]=>[2,1,4,3,6,5]=>1
[2,7,1,4,5,3,6]=>[2,1,4,5,3,6]=>1
[2,7,1,4,5,6,3]=>[2,1,4,5,6,3]=>1
[2,7,1,4,6,3,5]=>[2,1,4,6,3,5]=>1
[2,7,1,4,6,5,3]=>[2,1,4,6,5,3]=>1
[2,7,1,5,3,4,6]=>[2,1,5,3,4,6]=>1
[2,7,1,5,3,6,4]=>[2,1,5,3,6,4]=>1
[2,7,1,5,4,3,6]=>[2,1,5,4,3,6]=>1
[2,7,1,5,4,6,3]=>[2,1,5,4,6,3]=>1
[2,7,1,5,6,3,4]=>[2,1,5,6,3,4]=>2
[2,7,1,5,6,4,3]=>[2,1,5,6,4,3]=>1
[2,7,1,6,3,4,5]=>[2,1,6,3,4,5]=>1
[2,7,1,6,3,5,4]=>[2,1,6,3,5,4]=>1
[2,7,1,6,4,3,5]=>[2,1,6,4,3,5]=>1
[2,7,1,6,4,5,3]=>[2,1,6,4,5,3]=>2
[2,7,1,6,5,3,4]=>[2,1,6,5,3,4]=>1
[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>1
[2,7,3,1,4,5,6]=>[2,3,1,4,5,6]=>1
[2,7,3,1,4,6,5]=>[2,3,1,4,6,5]=>1
[2,7,3,1,5,4,6]=>[2,3,1,5,4,6]=>1
[2,7,3,1,5,6,4]=>[2,3,1,5,6,4]=>1
[2,7,3,1,6,4,5]=>[2,3,1,6,4,5]=>1
[2,7,3,1,6,5,4]=>[2,3,1,6,5,4]=>1
[2,7,3,4,1,5,6]=>[2,3,4,1,5,6]=>1
[2,7,3,4,1,6,5]=>[2,3,4,1,6,5]=>1
[2,7,3,4,5,1,6]=>[2,3,4,5,1,6]=>1
[2,7,3,4,5,6,1]=>[2,3,4,5,6,1]=>1
[2,7,3,4,6,1,5]=>[2,3,4,6,1,5]=>1
[2,7,3,4,6,5,1]=>[2,3,4,6,5,1]=>1
[2,7,3,5,1,4,6]=>[2,3,5,1,4,6]=>1
[2,7,3,5,1,6,4]=>[2,3,5,1,6,4]=>1
[2,7,3,5,4,1,6]=>[2,3,5,4,1,6]=>1
[2,7,3,5,4,6,1]=>[2,3,5,4,6,1]=>1
[2,7,3,5,6,1,4]=>[2,3,5,6,1,4]=>2
[2,7,3,5,6,4,1]=>[2,3,5,6,4,1]=>1
[2,7,3,6,1,4,5]=>[2,3,6,1,4,5]=>1
[2,7,3,6,1,5,4]=>[2,3,6,1,5,4]=>1
[2,7,3,6,4,1,5]=>[2,3,6,4,1,5]=>1
[2,7,3,6,4,5,1]=>[2,3,6,4,5,1]=>2
[2,7,3,6,5,1,4]=>[2,3,6,5,1,4]=>1
[2,7,3,6,5,4,1]=>[2,3,6,5,4,1]=>1
[2,7,4,1,3,5,6]=>[2,4,1,3,5,6]=>1
[2,7,4,1,3,6,5]=>[2,4,1,3,6,5]=>1
[2,7,4,1,5,3,6]=>[2,4,1,5,3,6]=>1
[2,7,4,1,5,6,3]=>[2,4,1,5,6,3]=>1
[2,7,4,1,6,3,5]=>[2,4,1,6,3,5]=>1
[2,7,4,1,6,5,3]=>[2,4,1,6,5,3]=>1
[2,7,4,3,1,5,6]=>[2,4,3,1,5,6]=>1
[2,7,4,3,1,6,5]=>[2,4,3,1,6,5]=>1
[2,7,4,3,5,1,6]=>[2,4,3,5,1,6]=>1
[2,7,4,3,5,6,1]=>[2,4,3,5,6,1]=>1
[2,7,4,3,6,1,5]=>[2,4,3,6,1,5]=>1
[2,7,4,3,6,5,1]=>[2,4,3,6,5,1]=>1
[2,7,4,5,1,3,6]=>[2,4,5,1,3,6]=>2
[2,7,4,5,1,6,3]=>[2,4,5,1,6,3]=>2
[2,7,4,5,3,1,6]=>[2,4,5,3,1,6]=>1
[2,7,4,5,3,6,1]=>[2,4,5,3,6,1]=>1
[2,7,4,5,6,1,3]=>[2,4,5,6,1,3]=>3
[2,7,4,5,6,3,1]=>[2,4,5,6,3,1]=>1
[2,7,4,6,1,3,5]=>[2,4,6,1,3,5]=>2
[2,7,4,6,1,5,3]=>[2,4,6,1,5,3]=>2
[2,7,4,6,3,1,5]=>[2,4,6,3,1,5]=>1
[2,7,4,6,3,5,1]=>[2,4,6,3,5,1]=>2
[2,7,4,6,5,1,3]=>[2,4,6,5,1,3]=>2
[2,7,4,6,5,3,1]=>[2,4,6,5,3,1]=>1
[2,7,5,1,3,4,6]=>[2,5,1,3,4,6]=>1
[2,7,5,1,3,6,4]=>[2,5,1,3,6,4]=>1
[2,7,5,1,4,3,6]=>[2,5,1,4,3,6]=>1
[2,7,5,1,4,6,3]=>[2,5,1,4,6,3]=>1
[2,7,5,1,6,3,4]=>[2,5,1,6,3,4]=>2
[2,7,5,1,6,4,3]=>[2,5,1,6,4,3]=>1
[2,7,5,3,1,4,6]=>[2,5,3,1,4,6]=>1
[2,7,5,3,1,6,4]=>[2,5,3,1,6,4]=>1
[2,7,5,3,4,1,6]=>[2,5,3,4,1,6]=>2
[2,7,5,3,4,6,1]=>[2,5,3,4,6,1]=>2
[2,7,5,3,6,1,4]=>[2,5,3,6,1,4]=>2
[2,7,5,3,6,4,1]=>[2,5,3,6,4,1]=>2
[2,7,5,4,1,3,6]=>[2,5,4,1,3,6]=>1
[2,7,5,4,1,6,3]=>[2,5,4,1,6,3]=>1
[2,7,5,4,3,1,6]=>[2,5,4,3,1,6]=>1
[2,7,5,4,3,6,1]=>[2,5,4,3,6,1]=>1
[2,7,5,4,6,1,3]=>[2,5,4,6,1,3]=>2
[2,7,5,4,6,3,1]=>[2,5,4,6,3,1]=>1
[2,7,5,6,1,3,4]=>[2,5,6,1,3,4]=>3
[2,7,5,6,1,4,3]=>[2,5,6,1,4,3]=>2
[2,7,5,6,3,1,4]=>[2,5,6,3,1,4]=>2
[2,7,5,6,3,4,1]=>[2,5,6,3,4,1]=>3
[2,7,5,6,4,1,3]=>[2,5,6,4,1,3]=>2
[2,7,5,6,4,3,1]=>[2,5,6,4,3,1]=>1
[2,7,6,1,3,4,5]=>[2,6,1,3,4,5]=>1
[2,7,6,1,3,5,4]=>[2,6,1,3,5,4]=>1
[2,7,6,1,4,3,5]=>[2,6,1,4,3,5]=>1
[2,7,6,1,4,5,3]=>[2,6,1,4,5,3]=>2
[2,7,6,1,5,3,4]=>[2,6,1,5,3,4]=>1
[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>1
[2,7,6,3,1,4,5]=>[2,6,3,1,4,5]=>1
[2,7,6,3,1,5,4]=>[2,6,3,1,5,4]=>1
[2,7,6,3,4,1,5]=>[2,6,3,4,1,5]=>2
[2,7,6,3,4,5,1]=>[2,6,3,4,5,1]=>4
[2,7,6,3,5,1,4]=>[2,6,3,5,1,4]=>2
[2,7,6,3,5,4,1]=>[2,6,3,5,4,1]=>2
[2,7,6,4,1,3,5]=>[2,6,4,1,3,5]=>1
[2,7,6,4,1,5,3]=>[2,6,4,1,5,3]=>2
[2,7,6,4,3,1,5]=>[2,6,4,3,1,5]=>1
[2,7,6,4,3,5,1]=>[2,6,4,3,5,1]=>2
[2,7,6,4,5,1,3]=>[2,6,4,5,1,3]=>3
[2,7,6,4,5,3,1]=>[2,6,4,5,3,1]=>2
[2,7,6,5,1,3,4]=>[2,6,5,1,3,4]=>1
[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>1
[2,7,6,5,3,1,4]=>[2,6,5,3,1,4]=>1
[2,7,6,5,3,4,1]=>[2,6,5,3,4,1]=>2
[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>1
[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>1
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6]=>1
[3,1,2,4,5,7,6]=>[3,1,2,4,5,6]=>1
[3,1,2,4,6,5,7]=>[3,1,2,4,6,5]=>1
[3,1,2,4,6,7,5]=>[3,1,2,4,6,5]=>1
[3,1,2,4,7,5,6]=>[3,1,2,4,5,6]=>1
[3,1,2,4,7,6,5]=>[3,1,2,4,6,5]=>1
[3,1,2,5,4,6,7]=>[3,1,2,5,4,6]=>1
[3,1,2,5,4,7,6]=>[3,1,2,5,4,6]=>1
[3,1,2,5,6,4,7]=>[3,1,2,5,6,4]=>1
[3,1,2,5,6,7,4]=>[3,1,2,5,6,4]=>1
[3,1,2,5,7,4,6]=>[3,1,2,5,4,6]=>1
[3,1,2,5,7,6,4]=>[3,1,2,5,6,4]=>1
[3,1,2,6,4,5,7]=>[3,1,2,6,4,5]=>1
[3,1,2,6,4,7,5]=>[3,1,2,6,4,5]=>1
[3,1,2,6,5,4,7]=>[3,1,2,6,5,4]=>1
[3,1,2,6,5,7,4]=>[3,1,2,6,5,4]=>1
[3,1,2,6,7,4,5]=>[3,1,2,6,4,5]=>1
[3,1,2,6,7,5,4]=>[3,1,2,6,5,4]=>1
[3,1,2,7,4,5,6]=>[3,1,2,4,5,6]=>1
[3,1,2,7,4,6,5]=>[3,1,2,4,6,5]=>1
[3,1,2,7,5,4,6]=>[3,1,2,5,4,6]=>1
[3,1,2,7,5,6,4]=>[3,1,2,5,6,4]=>1
[3,1,2,7,6,4,5]=>[3,1,2,6,4,5]=>1
[3,1,2,7,6,5,4]=>[3,1,2,6,5,4]=>1
[3,1,4,2,5,6,7]=>[3,1,4,2,5,6]=>1
[3,1,4,2,5,7,6]=>[3,1,4,2,5,6]=>1
[3,1,4,2,6,5,7]=>[3,1,4,2,6,5]=>1
[3,1,4,2,6,7,5]=>[3,1,4,2,6,5]=>1
[3,1,4,2,7,5,6]=>[3,1,4,2,5,6]=>1
[3,1,4,2,7,6,5]=>[3,1,4,2,6,5]=>1
[3,1,4,5,2,6,7]=>[3,1,4,5,2,6]=>1
[3,1,4,5,2,7,6]=>[3,1,4,5,2,6]=>1
[3,1,4,5,6,2,7]=>[3,1,4,5,6,2]=>1
[3,1,4,5,6,7,2]=>[3,1,4,5,6,2]=>1
[3,1,4,5,7,2,6]=>[3,1,4,5,2,6]=>1
[3,1,4,5,7,6,2]=>[3,1,4,5,6,2]=>1
[3,1,4,6,2,5,7]=>[3,1,4,6,2,5]=>1
[3,1,4,6,2,7,5]=>[3,1,4,6,2,5]=>1
[3,1,4,6,5,2,7]=>[3,1,4,6,5,2]=>1
[3,1,4,6,5,7,2]=>[3,1,4,6,5,2]=>1
[3,1,4,6,7,2,5]=>[3,1,4,6,2,5]=>1
[3,1,4,6,7,5,2]=>[3,1,4,6,5,2]=>1
[3,1,4,7,2,5,6]=>[3,1,4,2,5,6]=>1
[3,1,4,7,2,6,5]=>[3,1,4,2,6,5]=>1
[3,1,4,7,5,2,6]=>[3,1,4,5,2,6]=>1
[3,1,4,7,5,6,2]=>[3,1,4,5,6,2]=>1
[3,1,4,7,6,2,5]=>[3,1,4,6,2,5]=>1
[3,1,4,7,6,5,2]=>[3,1,4,6,5,2]=>1
[3,1,5,2,4,6,7]=>[3,1,5,2,4,6]=>1
[3,1,5,2,4,7,6]=>[3,1,5,2,4,6]=>1
[3,1,5,2,6,4,7]=>[3,1,5,2,6,4]=>1
[3,1,5,2,6,7,4]=>[3,1,5,2,6,4]=>1
[3,1,5,2,7,4,6]=>[3,1,5,2,4,6]=>1
[3,1,5,2,7,6,4]=>[3,1,5,2,6,4]=>1
[3,1,5,4,2,6,7]=>[3,1,5,4,2,6]=>1
[3,1,5,4,2,7,6]=>[3,1,5,4,2,6]=>1
[3,1,5,4,6,2,7]=>[3,1,5,4,6,2]=>1
[3,1,5,4,6,7,2]=>[3,1,5,4,6,2]=>1
[3,1,5,4,7,2,6]=>[3,1,5,4,2,6]=>1
[3,1,5,4,7,6,2]=>[3,1,5,4,6,2]=>1
[3,1,5,6,2,4,7]=>[3,1,5,6,2,4]=>2
[3,1,5,6,2,7,4]=>[3,1,5,6,2,4]=>2
[3,1,5,6,4,2,7]=>[3,1,5,6,4,2]=>1
[3,1,5,6,4,7,2]=>[3,1,5,6,4,2]=>1
[3,1,5,6,7,2,4]=>[3,1,5,6,2,4]=>2
[3,1,5,6,7,4,2]=>[3,1,5,6,4,2]=>1
[3,1,5,7,2,4,6]=>[3,1,5,2,4,6]=>1
[3,1,5,7,2,6,4]=>[3,1,5,2,6,4]=>1
[3,1,5,7,4,2,6]=>[3,1,5,4,2,6]=>1
[3,1,5,7,4,6,2]=>[3,1,5,4,6,2]=>1
[3,1,5,7,6,2,4]=>[3,1,5,6,2,4]=>2
[3,1,5,7,6,4,2]=>[3,1,5,6,4,2]=>1
[3,1,6,2,4,5,7]=>[3,1,6,2,4,5]=>1
[3,1,6,2,4,7,5]=>[3,1,6,2,4,5]=>1
[3,1,6,2,5,4,7]=>[3,1,6,2,5,4]=>1
[3,1,6,2,5,7,4]=>[3,1,6,2,5,4]=>1
[3,1,6,2,7,4,5]=>[3,1,6,2,4,5]=>1
[3,1,6,2,7,5,4]=>[3,1,6,2,5,4]=>1
[3,1,6,4,2,5,7]=>[3,1,6,4,2,5]=>1
[3,1,6,4,2,7,5]=>[3,1,6,4,2,5]=>1
[3,1,6,4,5,2,7]=>[3,1,6,4,5,2]=>2
[3,1,6,4,5,7,2]=>[3,1,6,4,5,2]=>2
[3,1,6,4,7,2,5]=>[3,1,6,4,2,5]=>1
[3,1,6,4,7,5,2]=>[3,1,6,4,5,2]=>2
[3,1,6,5,2,4,7]=>[3,1,6,5,2,4]=>1
[3,1,6,5,2,7,4]=>[3,1,6,5,2,4]=>1
[3,1,6,5,4,2,7]=>[3,1,6,5,4,2]=>1
[3,1,6,5,4,7,2]=>[3,1,6,5,4,2]=>1
[3,1,6,5,7,2,4]=>[3,1,6,5,2,4]=>1
[3,1,6,5,7,4,2]=>[3,1,6,5,4,2]=>1
[3,1,6,7,2,4,5]=>[3,1,6,2,4,5]=>1
[3,1,6,7,2,5,4]=>[3,1,6,2,5,4]=>1
[3,1,6,7,4,2,5]=>[3,1,6,4,2,5]=>1
[3,1,6,7,4,5,2]=>[3,1,6,4,5,2]=>2
[3,1,6,7,5,2,4]=>[3,1,6,5,2,4]=>1
[3,1,6,7,5,4,2]=>[3,1,6,5,4,2]=>1
[3,1,7,2,4,5,6]=>[3,1,2,4,5,6]=>1
[3,1,7,2,4,6,5]=>[3,1,2,4,6,5]=>1
[3,1,7,2,5,4,6]=>[3,1,2,5,4,6]=>1
[3,1,7,2,5,6,4]=>[3,1,2,5,6,4]=>1
[3,1,7,2,6,4,5]=>[3,1,2,6,4,5]=>1
[3,1,7,2,6,5,4]=>[3,1,2,6,5,4]=>1
[3,1,7,4,2,5,6]=>[3,1,4,2,5,6]=>1
[3,1,7,4,2,6,5]=>[3,1,4,2,6,5]=>1
[3,1,7,4,5,2,6]=>[3,1,4,5,2,6]=>1
[3,1,7,4,5,6,2]=>[3,1,4,5,6,2]=>1
[3,1,7,4,6,2,5]=>[3,1,4,6,2,5]=>1
[3,1,7,4,6,5,2]=>[3,1,4,6,5,2]=>1
[3,1,7,5,2,4,6]=>[3,1,5,2,4,6]=>1
[3,1,7,5,2,6,4]=>[3,1,5,2,6,4]=>1
[3,1,7,5,4,2,6]=>[3,1,5,4,2,6]=>1
[3,1,7,5,4,6,2]=>[3,1,5,4,6,2]=>1
[3,1,7,5,6,2,4]=>[3,1,5,6,2,4]=>2
[3,1,7,5,6,4,2]=>[3,1,5,6,4,2]=>1
[3,1,7,6,2,4,5]=>[3,1,6,2,4,5]=>1
[3,1,7,6,2,5,4]=>[3,1,6,2,5,4]=>1
[3,1,7,6,4,2,5]=>[3,1,6,4,2,5]=>1
[3,1,7,6,4,5,2]=>[3,1,6,4,5,2]=>2
[3,1,7,6,5,2,4]=>[3,1,6,5,2,4]=>1
[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>1
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6]=>1
[3,2,1,4,5,7,6]=>[3,2,1,4,5,6]=>1
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5]=>1
[3,2,1,4,6,7,5]=>[3,2,1,4,6,5]=>1
[3,2,1,4,7,5,6]=>[3,2,1,4,5,6]=>1
[3,2,1,4,7,6,5]=>[3,2,1,4,6,5]=>1
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6]=>1
[3,2,1,5,4,7,6]=>[3,2,1,5,4,6]=>1
[3,2,1,5,6,4,7]=>[3,2,1,5,6,4]=>1
[3,2,1,5,6,7,4]=>[3,2,1,5,6,4]=>1
[3,2,1,5,7,4,6]=>[3,2,1,5,4,6]=>1
[3,2,1,5,7,6,4]=>[3,2,1,5,6,4]=>1
[3,2,1,6,4,5,7]=>[3,2,1,6,4,5]=>1
[3,2,1,6,4,7,5]=>[3,2,1,6,4,5]=>1
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4]=>1
[3,2,1,6,5,7,4]=>[3,2,1,6,5,4]=>1
[3,2,1,6,7,4,5]=>[3,2,1,6,4,5]=>1
[3,2,1,6,7,5,4]=>[3,2,1,6,5,4]=>1
[3,2,1,7,4,5,6]=>[3,2,1,4,5,6]=>1
[3,2,1,7,4,6,5]=>[3,2,1,4,6,5]=>1
[3,2,1,7,5,4,6]=>[3,2,1,5,4,6]=>1
[3,2,1,7,5,6,4]=>[3,2,1,5,6,4]=>1
[3,2,1,7,6,4,5]=>[3,2,1,6,4,5]=>1
[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>1
[3,2,4,1,5,6,7]=>[3,2,4,1,5,6]=>1
[3,2,4,1,5,7,6]=>[3,2,4,1,5,6]=>1
[3,2,4,1,6,5,7]=>[3,2,4,1,6,5]=>1
[3,2,4,1,6,7,5]=>[3,2,4,1,6,5]=>1
[3,2,4,1,7,5,6]=>[3,2,4,1,5,6]=>1
[3,2,4,1,7,6,5]=>[3,2,4,1,6,5]=>1
[3,2,4,5,1,6,7]=>[3,2,4,5,1,6]=>1
[3,2,4,5,1,7,6]=>[3,2,4,5,1,6]=>1
[3,2,4,5,6,1,7]=>[3,2,4,5,6,1]=>1
[3,2,4,5,6,7,1]=>[3,2,4,5,6,1]=>1
[3,2,4,5,7,1,6]=>[3,2,4,5,1,6]=>1
[3,2,4,5,7,6,1]=>[3,2,4,5,6,1]=>1
[3,2,4,6,1,5,7]=>[3,2,4,6,1,5]=>1
[3,2,4,6,1,7,5]=>[3,2,4,6,1,5]=>1
[3,2,4,6,5,1,7]=>[3,2,4,6,5,1]=>1
[3,2,4,6,5,7,1]=>[3,2,4,6,5,1]=>1
[3,2,4,6,7,1,5]=>[3,2,4,6,1,5]=>1
[3,2,4,6,7,5,1]=>[3,2,4,6,5,1]=>1
[3,2,4,7,1,5,6]=>[3,2,4,1,5,6]=>1
[3,2,4,7,1,6,5]=>[3,2,4,1,6,5]=>1
[3,2,4,7,5,1,6]=>[3,2,4,5,1,6]=>1
[3,2,4,7,5,6,1]=>[3,2,4,5,6,1]=>1
[3,2,4,7,6,1,5]=>[3,2,4,6,1,5]=>1
[3,2,4,7,6,5,1]=>[3,2,4,6,5,1]=>1
[3,2,5,1,4,6,7]=>[3,2,5,1,4,6]=>1
[3,2,5,1,4,7,6]=>[3,2,5,1,4,6]=>1
[3,2,5,1,6,4,7]=>[3,2,5,1,6,4]=>1
[3,2,5,1,6,7,4]=>[3,2,5,1,6,4]=>1
[3,2,5,1,7,4,6]=>[3,2,5,1,4,6]=>1
[3,2,5,1,7,6,4]=>[3,2,5,1,6,4]=>1
[3,2,5,4,1,6,7]=>[3,2,5,4,1,6]=>1
[3,2,5,4,1,7,6]=>[3,2,5,4,1,6]=>1
[3,2,5,4,6,1,7]=>[3,2,5,4,6,1]=>1
[3,2,5,4,6,7,1]=>[3,2,5,4,6,1]=>1
[3,2,5,4,7,1,6]=>[3,2,5,4,1,6]=>1
[3,2,5,4,7,6,1]=>[3,2,5,4,6,1]=>1
[3,2,5,6,1,4,7]=>[3,2,5,6,1,4]=>2
[3,2,5,6,1,7,4]=>[3,2,5,6,1,4]=>2
[3,2,5,6,4,1,7]=>[3,2,5,6,4,1]=>1
[3,2,5,6,4,7,1]=>[3,2,5,6,4,1]=>1
[3,2,5,6,7,1,4]=>[3,2,5,6,1,4]=>2
[3,2,5,6,7,4,1]=>[3,2,5,6,4,1]=>1
[3,2,5,7,1,4,6]=>[3,2,5,1,4,6]=>1
[3,2,5,7,1,6,4]=>[3,2,5,1,6,4]=>1
[3,2,5,7,4,1,6]=>[3,2,5,4,1,6]=>1
[3,2,5,7,4,6,1]=>[3,2,5,4,6,1]=>1
[3,2,5,7,6,1,4]=>[3,2,5,6,1,4]=>2
[3,2,5,7,6,4,1]=>[3,2,5,6,4,1]=>1
[3,2,6,1,4,5,7]=>[3,2,6,1,4,5]=>1
[3,2,6,1,4,7,5]=>[3,2,6,1,4,5]=>1
[3,2,6,1,5,4,7]=>[3,2,6,1,5,4]=>1
[3,2,6,1,5,7,4]=>[3,2,6,1,5,4]=>1
[3,2,6,1,7,4,5]=>[3,2,6,1,4,5]=>1
[3,2,6,1,7,5,4]=>[3,2,6,1,5,4]=>1
[3,2,6,4,1,5,7]=>[3,2,6,4,1,5]=>1
[3,2,6,4,1,7,5]=>[3,2,6,4,1,5]=>1
[3,2,6,4,5,1,7]=>[3,2,6,4,5,1]=>2
[3,2,6,4,5,7,1]=>[3,2,6,4,5,1]=>2
[3,2,6,4,7,1,5]=>[3,2,6,4,1,5]=>1
[3,2,6,4,7,5,1]=>[3,2,6,4,5,1]=>2
[3,2,6,5,1,4,7]=>[3,2,6,5,1,4]=>1
[3,2,6,5,1,7,4]=>[3,2,6,5,1,4]=>1
[3,2,6,5,4,1,7]=>[3,2,6,5,4,1]=>1
[3,2,6,5,4,7,1]=>[3,2,6,5,4,1]=>1
[3,2,6,5,7,1,4]=>[3,2,6,5,1,4]=>1
[3,2,6,5,7,4,1]=>[3,2,6,5,4,1]=>1
[3,2,6,7,1,4,5]=>[3,2,6,1,4,5]=>1
[3,2,6,7,1,5,4]=>[3,2,6,1,5,4]=>1
[3,2,6,7,4,1,5]=>[3,2,6,4,1,5]=>1
[3,2,6,7,4,5,1]=>[3,2,6,4,5,1]=>2
[3,2,6,7,5,1,4]=>[3,2,6,5,1,4]=>1
[3,2,6,7,5,4,1]=>[3,2,6,5,4,1]=>1
[3,2,7,1,4,5,6]=>[3,2,1,4,5,6]=>1
[3,2,7,1,4,6,5]=>[3,2,1,4,6,5]=>1
[3,2,7,1,5,4,6]=>[3,2,1,5,4,6]=>1
[3,2,7,1,5,6,4]=>[3,2,1,5,6,4]=>1
[3,2,7,1,6,4,5]=>[3,2,1,6,4,5]=>1
[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>1
[3,2,7,4,1,5,6]=>[3,2,4,1,5,6]=>1
[3,2,7,4,1,6,5]=>[3,2,4,1,6,5]=>1
[3,2,7,4,5,1,6]=>[3,2,4,5,1,6]=>1
[3,2,7,4,5,6,1]=>[3,2,4,5,6,1]=>1
[3,2,7,4,6,1,5]=>[3,2,4,6,1,5]=>1
[3,2,7,4,6,5,1]=>[3,2,4,6,5,1]=>1
[3,2,7,5,1,4,6]=>[3,2,5,1,4,6]=>1
[3,2,7,5,1,6,4]=>[3,2,5,1,6,4]=>1
[3,2,7,5,4,1,6]=>[3,2,5,4,1,6]=>1
[3,2,7,5,4,6,1]=>[3,2,5,4,6,1]=>1
[3,2,7,5,6,1,4]=>[3,2,5,6,1,4]=>2
[3,2,7,5,6,4,1]=>[3,2,5,6,4,1]=>1
[3,2,7,6,1,4,5]=>[3,2,6,1,4,5]=>1
[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>1
[3,2,7,6,4,1,5]=>[3,2,6,4,1,5]=>1
[3,2,7,6,4,5,1]=>[3,2,6,4,5,1]=>2
[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>1
[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>1
[3,4,1,2,5,6,7]=>[3,4,1,2,5,6]=>2
[3,4,1,2,5,7,6]=>[3,4,1,2,5,6]=>2
[3,4,1,2,6,5,7]=>[3,4,1,2,6,5]=>2
[3,4,1,2,6,7,5]=>[3,4,1,2,6,5]=>2
[3,4,1,2,7,5,6]=>[3,4,1,2,5,6]=>2
[3,4,1,2,7,6,5]=>[3,4,1,2,6,5]=>2
[3,4,1,5,2,6,7]=>[3,4,1,5,2,6]=>2
[3,4,1,5,2,7,6]=>[3,4,1,5,2,6]=>2
[3,4,1,5,6,2,7]=>[3,4,1,5,6,2]=>2
[3,4,1,5,6,7,2]=>[3,4,1,5,6,2]=>2
[3,4,1,5,7,2,6]=>[3,4,1,5,2,6]=>2
[3,4,1,5,7,6,2]=>[3,4,1,5,6,2]=>2
[3,4,1,6,2,5,7]=>[3,4,1,6,2,5]=>2
[3,4,1,6,2,7,5]=>[3,4,1,6,2,5]=>2
[3,4,1,6,5,2,7]=>[3,4,1,6,5,2]=>2
[3,4,1,6,5,7,2]=>[3,4,1,6,5,2]=>2
[3,4,1,6,7,2,5]=>[3,4,1,6,2,5]=>2
[3,4,1,6,7,5,2]=>[3,4,1,6,5,2]=>2
[3,4,1,7,2,5,6]=>[3,4,1,2,5,6]=>2
[3,4,1,7,2,6,5]=>[3,4,1,2,6,5]=>2
[3,4,1,7,5,2,6]=>[3,4,1,5,2,6]=>2
[3,4,1,7,5,6,2]=>[3,4,1,5,6,2]=>2
[3,4,1,7,6,2,5]=>[3,4,1,6,2,5]=>2
[3,4,1,7,6,5,2]=>[3,4,1,6,5,2]=>2
[3,4,2,1,5,6,7]=>[3,4,2,1,5,6]=>1
[3,4,2,1,5,7,6]=>[3,4,2,1,5,6]=>1
[3,4,2,1,6,5,7]=>[3,4,2,1,6,5]=>1
[3,4,2,1,6,7,5]=>[3,4,2,1,6,5]=>1
[3,4,2,1,7,5,6]=>[3,4,2,1,5,6]=>1
[3,4,2,1,7,6,5]=>[3,4,2,1,6,5]=>1
[3,4,2,5,1,6,7]=>[3,4,2,5,1,6]=>1
[3,4,2,5,1,7,6]=>[3,4,2,5,1,6]=>1
[3,4,2,5,6,1,7]=>[3,4,2,5,6,1]=>1
[3,4,2,5,6,7,1]=>[3,4,2,5,6,1]=>1
[3,4,2,5,7,1,6]=>[3,4,2,5,1,6]=>1
[3,4,2,5,7,6,1]=>[3,4,2,5,6,1]=>1
[3,4,2,6,1,5,7]=>[3,4,2,6,1,5]=>1
[3,4,2,6,1,7,5]=>[3,4,2,6,1,5]=>1
[3,4,2,6,5,1,7]=>[3,4,2,6,5,1]=>1
[3,4,2,6,5,7,1]=>[3,4,2,6,5,1]=>1
[3,4,2,6,7,1,5]=>[3,4,2,6,1,5]=>1
[3,4,2,6,7,5,1]=>[3,4,2,6,5,1]=>1
[3,4,2,7,1,5,6]=>[3,4,2,1,5,6]=>1
[3,4,2,7,1,6,5]=>[3,4,2,1,6,5]=>1
[3,4,2,7,5,1,6]=>[3,4,2,5,1,6]=>1
[3,4,2,7,5,6,1]=>[3,4,2,5,6,1]=>1
[3,4,2,7,6,1,5]=>[3,4,2,6,1,5]=>1
[3,4,2,7,6,5,1]=>[3,4,2,6,5,1]=>1
[3,4,5,1,2,6,7]=>[3,4,5,1,2,6]=>3
[3,4,5,1,2,7,6]=>[3,4,5,1,2,6]=>3
[3,4,5,1,6,2,7]=>[3,4,5,1,6,2]=>3
[3,4,5,1,6,7,2]=>[3,4,5,1,6,2]=>3
[3,4,5,1,7,2,6]=>[3,4,5,1,2,6]=>3
[3,4,5,1,7,6,2]=>[3,4,5,1,6,2]=>3
[3,4,5,2,1,6,7]=>[3,4,5,2,1,6]=>1
[3,4,5,2,1,7,6]=>[3,4,5,2,1,6]=>1
[3,4,5,2,6,1,7]=>[3,4,5,2,6,1]=>1
[3,4,5,2,6,7,1]=>[3,4,5,2,6,1]=>1
[3,4,5,2,7,1,6]=>[3,4,5,2,1,6]=>1
[3,4,5,2,7,6,1]=>[3,4,5,2,6,1]=>1
[3,4,5,6,1,2,7]=>[3,4,5,6,1,2]=>5
[3,4,5,6,1,7,2]=>[3,4,5,6,1,2]=>5
[3,4,5,6,2,1,7]=>[3,4,5,6,2,1]=>1
[3,4,5,6,2,7,1]=>[3,4,5,6,2,1]=>1
[3,4,5,6,7,1,2]=>[3,4,5,6,1,2]=>5
[3,4,5,6,7,2,1]=>[3,4,5,6,2,1]=>1
[3,4,5,7,1,2,6]=>[3,4,5,1,2,6]=>3
[3,4,5,7,1,6,2]=>[3,4,5,1,6,2]=>3
[3,4,5,7,2,1,6]=>[3,4,5,2,1,6]=>1
[3,4,5,7,2,6,1]=>[3,4,5,2,6,1]=>1
[3,4,5,7,6,1,2]=>[3,4,5,6,1,2]=>5
[3,4,5,7,6,2,1]=>[3,4,5,6,2,1]=>1
[3,4,6,1,2,5,7]=>[3,4,6,1,2,5]=>3
[3,4,6,1,2,7,5]=>[3,4,6,1,2,5]=>3
[3,4,6,1,5,2,7]=>[3,4,6,1,5,2]=>3
[3,4,6,1,5,7,2]=>[3,4,6,1,5,2]=>3
[3,4,6,1,7,2,5]=>[3,4,6,1,2,5]=>3
[3,4,6,1,7,5,2]=>[3,4,6,1,5,2]=>3
[3,4,6,2,1,5,7]=>[3,4,6,2,1,5]=>1
[3,4,6,2,1,7,5]=>[3,4,6,2,1,5]=>1
[3,4,6,2,5,1,7]=>[3,4,6,2,5,1]=>2
[3,4,6,2,5,7,1]=>[3,4,6,2,5,1]=>2
[3,4,6,2,7,1,5]=>[3,4,6,2,1,5]=>1
[3,4,6,2,7,5,1]=>[3,4,6,2,5,1]=>2
[3,4,6,5,1,2,7]=>[3,4,6,5,1,2]=>3
[3,4,6,5,1,7,2]=>[3,4,6,5,1,2]=>3
[3,4,6,5,2,1,7]=>[3,4,6,5,2,1]=>1
[3,4,6,5,2,7,1]=>[3,4,6,5,2,1]=>1
[3,4,6,5,7,1,2]=>[3,4,6,5,1,2]=>3
[3,4,6,5,7,2,1]=>[3,4,6,5,2,1]=>1
[3,4,6,7,1,2,5]=>[3,4,6,1,2,5]=>3
[3,4,6,7,1,5,2]=>[3,4,6,1,5,2]=>3
[3,4,6,7,2,1,5]=>[3,4,6,2,1,5]=>1
[3,4,6,7,2,5,1]=>[3,4,6,2,5,1]=>2
[3,4,6,7,5,1,2]=>[3,4,6,5,1,2]=>3
[3,4,6,7,5,2,1]=>[3,4,6,5,2,1]=>1
[3,4,7,1,2,5,6]=>[3,4,1,2,5,6]=>2
[3,4,7,1,2,6,5]=>[3,4,1,2,6,5]=>2
[3,4,7,1,5,2,6]=>[3,4,1,5,2,6]=>2
[3,4,7,1,5,6,2]=>[3,4,1,5,6,2]=>2
[3,4,7,1,6,2,5]=>[3,4,1,6,2,5]=>2
[3,4,7,1,6,5,2]=>[3,4,1,6,5,2]=>2
[3,4,7,2,1,5,6]=>[3,4,2,1,5,6]=>1
[3,4,7,2,1,6,5]=>[3,4,2,1,6,5]=>1
[3,4,7,2,5,1,6]=>[3,4,2,5,1,6]=>1
[3,4,7,2,5,6,1]=>[3,4,2,5,6,1]=>1
[3,4,7,2,6,1,5]=>[3,4,2,6,1,5]=>1
[3,4,7,2,6,5,1]=>[3,4,2,6,5,1]=>1
[3,4,7,5,1,2,6]=>[3,4,5,1,2,6]=>3
[3,4,7,5,1,6,2]=>[3,4,5,1,6,2]=>3
[3,4,7,5,2,1,6]=>[3,4,5,2,1,6]=>1
[3,4,7,5,2,6,1]=>[3,4,5,2,6,1]=>1
[3,4,7,5,6,1,2]=>[3,4,5,6,1,2]=>5
[3,4,7,5,6,2,1]=>[3,4,5,6,2,1]=>1
[3,4,7,6,1,2,5]=>[3,4,6,1,2,5]=>3
[3,4,7,6,1,5,2]=>[3,4,6,1,5,2]=>3
[3,4,7,6,2,1,5]=>[3,4,6,2,1,5]=>1
[3,4,7,6,2,5,1]=>[3,4,6,2,5,1]=>2
[3,4,7,6,5,1,2]=>[3,4,6,5,1,2]=>3
[3,4,7,6,5,2,1]=>[3,4,6,5,2,1]=>1
[3,5,1,2,4,6,7]=>[3,5,1,2,4,6]=>2
[3,5,1,2,4,7,6]=>[3,5,1,2,4,6]=>2
[3,5,1,2,6,4,7]=>[3,5,1,2,6,4]=>2
[3,5,1,2,6,7,4]=>[3,5,1,2,6,4]=>2
[3,5,1,2,7,4,6]=>[3,5,1,2,4,6]=>2
[3,5,1,2,7,6,4]=>[3,5,1,2,6,4]=>2
[3,5,1,4,2,6,7]=>[3,5,1,4,2,6]=>2
[3,5,1,4,2,7,6]=>[3,5,1,4,2,6]=>2
[3,5,1,4,6,2,7]=>[3,5,1,4,6,2]=>2
[3,5,1,4,6,7,2]=>[3,5,1,4,6,2]=>2
[3,5,1,4,7,2,6]=>[3,5,1,4,2,6]=>2
[3,5,1,4,7,6,2]=>[3,5,1,4,6,2]=>2
[3,5,1,6,2,4,7]=>[3,5,1,6,2,4]=>4
[3,5,1,6,2,7,4]=>[3,5,1,6,2,4]=>4
[3,5,1,6,4,2,7]=>[3,5,1,6,4,2]=>2
[3,5,1,6,4,7,2]=>[3,5,1,6,4,2]=>2
[3,5,1,6,7,2,4]=>[3,5,1,6,2,4]=>4
[3,5,1,6,7,4,2]=>[3,5,1,6,4,2]=>2
[3,5,1,7,2,4,6]=>[3,5,1,2,4,6]=>2
[3,5,1,7,2,6,4]=>[3,5,1,2,6,4]=>2
[3,5,1,7,4,2,6]=>[3,5,1,4,2,6]=>2
[3,5,1,7,4,6,2]=>[3,5,1,4,6,2]=>2
[3,5,1,7,6,2,4]=>[3,5,1,6,2,4]=>4
[3,5,1,7,6,4,2]=>[3,5,1,6,4,2]=>2
[3,5,2,1,4,6,7]=>[3,5,2,1,4,6]=>1
[3,5,2,1,4,7,6]=>[3,5,2,1,4,6]=>1
[3,5,2,1,6,4,7]=>[3,5,2,1,6,4]=>1
[3,5,2,1,6,7,4]=>[3,5,2,1,6,4]=>1
[3,5,2,1,7,4,6]=>[3,5,2,1,4,6]=>1
[3,5,2,1,7,6,4]=>[3,5,2,1,6,4]=>1
[3,5,2,4,1,6,7]=>[3,5,2,4,1,6]=>2
[3,5,2,4,1,7,6]=>[3,5,2,4,1,6]=>2
[3,5,2,4,6,1,7]=>[3,5,2,4,6,1]=>2
[3,5,2,4,6,7,1]=>[3,5,2,4,6,1]=>2
[3,5,2,4,7,1,6]=>[3,5,2,4,1,6]=>2
[3,5,2,4,7,6,1]=>[3,5,2,4,6,1]=>2
[3,5,2,6,1,4,7]=>[3,5,2,6,1,4]=>2
[3,5,2,6,1,7,4]=>[3,5,2,6,1,4]=>2
[3,5,2,6,4,1,7]=>[3,5,2,6,4,1]=>2
[3,5,2,6,4,7,1]=>[3,5,2,6,4,1]=>2
[3,5,2,6,7,1,4]=>[3,5,2,6,1,4]=>2
[3,5,2,6,7,4,1]=>[3,5,2,6,4,1]=>2
[3,5,2,7,1,4,6]=>[3,5,2,1,4,6]=>1
[3,5,2,7,1,6,4]=>[3,5,2,1,6,4]=>1
[3,5,2,7,4,1,6]=>[3,5,2,4,1,6]=>2
[3,5,2,7,4,6,1]=>[3,5,2,4,6,1]=>2
[3,5,2,7,6,1,4]=>[3,5,2,6,1,4]=>2
[3,5,2,7,6,4,1]=>[3,5,2,6,4,1]=>2
[3,5,4,1,2,6,7]=>[3,5,4,1,2,6]=>2
[3,5,4,1,2,7,6]=>[3,5,4,1,2,6]=>2
[3,5,4,1,6,2,7]=>[3,5,4,1,6,2]=>2
[3,5,4,1,6,7,2]=>[3,5,4,1,6,2]=>2
[3,5,4,1,7,2,6]=>[3,5,4,1,2,6]=>2
[3,5,4,1,7,6,2]=>[3,5,4,1,6,2]=>2
[3,5,4,2,1,6,7]=>[3,5,4,2,1,6]=>1
[3,5,4,2,1,7,6]=>[3,5,4,2,1,6]=>1
[3,5,4,2,6,1,7]=>[3,5,4,2,6,1]=>1
[3,5,4,2,6,7,1]=>[3,5,4,2,6,1]=>1
[3,5,4,2,7,1,6]=>[3,5,4,2,1,6]=>1
[3,5,4,2,7,6,1]=>[3,5,4,2,6,1]=>1
[3,5,4,6,1,2,7]=>[3,5,4,6,1,2]=>4
[3,5,4,6,1,7,2]=>[3,5,4,6,1,2]=>4
[3,5,4,6,2,1,7]=>[3,5,4,6,2,1]=>1
[3,5,4,6,2,7,1]=>[3,5,4,6,2,1]=>1
[3,5,4,6,7,1,2]=>[3,5,4,6,1,2]=>4
[3,5,4,6,7,2,1]=>[3,5,4,6,2,1]=>1
[3,5,4,7,1,2,6]=>[3,5,4,1,2,6]=>2
[3,5,4,7,1,6,2]=>[3,5,4,1,6,2]=>2
[3,5,4,7,2,1,6]=>[3,5,4,2,1,6]=>1
[3,5,4,7,2,6,1]=>[3,5,4,2,6,1]=>1
[3,5,4,7,6,1,2]=>[3,5,4,6,1,2]=>4
[3,5,4,7,6,2,1]=>[3,5,4,6,2,1]=>1
[3,5,6,1,2,4,7]=>[3,5,6,1,2,4]=>5
[3,5,6,1,2,7,4]=>[3,5,6,1,2,4]=>5
[3,5,6,1,4,2,7]=>[3,5,6,1,4,2]=>3
[3,5,6,1,4,7,2]=>[3,5,6,1,4,2]=>3
[3,5,6,1,7,2,4]=>[3,5,6,1,2,4]=>5
[3,5,6,1,7,4,2]=>[3,5,6,1,4,2]=>3
[3,5,6,2,1,4,7]=>[3,5,6,2,1,4]=>2
[3,5,6,2,1,7,4]=>[3,5,6,2,1,4]=>2
[3,5,6,2,4,1,7]=>[3,5,6,2,4,1]=>3
[3,5,6,2,4,7,1]=>[3,5,6,2,4,1]=>3
[3,5,6,2,7,1,4]=>[3,5,6,2,1,4]=>2
[3,5,6,2,7,4,1]=>[3,5,6,2,4,1]=>3
[3,5,6,4,1,2,7]=>[3,5,6,4,1,2]=>3
[3,5,6,4,1,7,2]=>[3,5,6,4,1,2]=>3
[3,5,6,4,2,1,7]=>[3,5,6,4,2,1]=>1
[3,5,6,4,2,7,1]=>[3,5,6,4,2,1]=>1
[3,5,6,4,7,1,2]=>[3,5,6,4,1,2]=>3
[3,5,6,4,7,2,1]=>[3,5,6,4,2,1]=>1
[3,5,6,7,1,2,4]=>[3,5,6,1,2,4]=>5
[3,5,6,7,1,4,2]=>[3,5,6,1,4,2]=>3
[3,5,6,7,2,1,4]=>[3,5,6,2,1,4]=>2
[3,5,6,7,2,4,1]=>[3,5,6,2,4,1]=>3
[3,5,6,7,4,1,2]=>[3,5,6,4,1,2]=>3
[3,5,6,7,4,2,1]=>[3,5,6,4,2,1]=>1
[3,5,7,1,2,4,6]=>[3,5,1,2,4,6]=>2
[3,5,7,1,2,6,4]=>[3,5,1,2,6,4]=>2
[3,5,7,1,4,2,6]=>[3,5,1,4,2,6]=>2
[3,5,7,1,4,6,2]=>[3,5,1,4,6,2]=>2
[3,5,7,1,6,2,4]=>[3,5,1,6,2,4]=>4
[3,5,7,1,6,4,2]=>[3,5,1,6,4,2]=>2
[3,5,7,2,1,4,6]=>[3,5,2,1,4,6]=>1
[3,5,7,2,1,6,4]=>[3,5,2,1,6,4]=>1
[3,5,7,2,4,1,6]=>[3,5,2,4,1,6]=>2
[3,5,7,2,4,6,1]=>[3,5,2,4,6,1]=>2
[3,5,7,2,6,1,4]=>[3,5,2,6,1,4]=>2
[3,5,7,2,6,4,1]=>[3,5,2,6,4,1]=>2
[3,5,7,4,1,2,6]=>[3,5,4,1,2,6]=>2
[3,5,7,4,1,6,2]=>[3,5,4,1,6,2]=>2
[3,5,7,4,2,1,6]=>[3,5,4,2,1,6]=>1
[3,5,7,4,2,6,1]=>[3,5,4,2,6,1]=>1
[3,5,7,4,6,1,2]=>[3,5,4,6,1,2]=>4
[3,5,7,4,6,2,1]=>[3,5,4,6,2,1]=>1
[3,5,7,6,1,2,4]=>[3,5,6,1,2,4]=>5
[3,5,7,6,1,4,2]=>[3,5,6,1,4,2]=>3
[3,5,7,6,2,1,4]=>[3,5,6,2,1,4]=>2
[3,5,7,6,2,4,1]=>[3,5,6,2,4,1]=>3
[3,5,7,6,4,1,2]=>[3,5,6,4,1,2]=>3
[3,5,7,6,4,2,1]=>[3,5,6,4,2,1]=>1
[3,6,1,2,4,5,7]=>[3,6,1,2,4,5]=>2
[3,6,1,2,4,7,5]=>[3,6,1,2,4,5]=>2
[3,6,1,2,5,4,7]=>[3,6,1,2,5,4]=>2
[3,6,1,2,5,7,4]=>[3,6,1,2,5,4]=>2
[3,6,1,2,7,4,5]=>[3,6,1,2,4,5]=>2
[3,6,1,2,7,5,4]=>[3,6,1,2,5,4]=>2
[3,6,1,4,2,5,7]=>[3,6,1,4,2,5]=>2
[3,6,1,4,2,7,5]=>[3,6,1,4,2,5]=>2
[3,6,1,4,5,2,7]=>[3,6,1,4,5,2]=>4
[3,6,1,4,5,7,2]=>[3,6,1,4,5,2]=>4
[3,6,1,4,7,2,5]=>[3,6,1,4,2,5]=>2
[3,6,1,4,7,5,2]=>[3,6,1,4,5,2]=>4
[3,6,1,5,2,4,7]=>[3,6,1,5,2,4]=>2
[3,6,1,5,2,7,4]=>[3,6,1,5,2,4]=>2
[3,6,1,5,4,2,7]=>[3,6,1,5,4,2]=>2
[3,6,1,5,4,7,2]=>[3,6,1,5,4,2]=>2
[3,6,1,5,7,2,4]=>[3,6,1,5,2,4]=>2
[3,6,1,5,7,4,2]=>[3,6,1,5,4,2]=>2
[3,6,1,7,2,4,5]=>[3,6,1,2,4,5]=>2
[3,6,1,7,2,5,4]=>[3,6,1,2,5,4]=>2
[3,6,1,7,4,2,5]=>[3,6,1,4,2,5]=>2
[3,6,1,7,4,5,2]=>[3,6,1,4,5,2]=>4
[3,6,1,7,5,2,4]=>[3,6,1,5,2,4]=>2
[3,6,1,7,5,4,2]=>[3,6,1,5,4,2]=>2
[3,6,2,1,4,5,7]=>[3,6,2,1,4,5]=>1
[3,6,2,1,4,7,5]=>[3,6,2,1,4,5]=>1
[3,6,2,1,5,4,7]=>[3,6,2,1,5,4]=>1
[3,6,2,1,5,7,4]=>[3,6,2,1,5,4]=>1
[3,6,2,1,7,4,5]=>[3,6,2,1,4,5]=>1
[3,6,2,1,7,5,4]=>[3,6,2,1,5,4]=>1
[3,6,2,4,1,5,7]=>[3,6,2,4,1,5]=>2
[3,6,2,4,1,7,5]=>[3,6,2,4,1,5]=>2
[3,6,2,4,5,1,7]=>[3,6,2,4,5,1]=>4
[3,6,2,4,5,7,1]=>[3,6,2,4,5,1]=>4
[3,6,2,4,7,1,5]=>[3,6,2,4,1,5]=>2
[3,6,2,4,7,5,1]=>[3,6,2,4,5,1]=>4
[3,6,2,5,1,4,7]=>[3,6,2,5,1,4]=>2
[3,6,2,5,1,7,4]=>[3,6,2,5,1,4]=>2
[3,6,2,5,4,1,7]=>[3,6,2,5,4,1]=>2
[3,6,2,5,4,7,1]=>[3,6,2,5,4,1]=>2
[3,6,2,5,7,1,4]=>[3,6,2,5,1,4]=>2
[3,6,2,5,7,4,1]=>[3,6,2,5,4,1]=>2
[3,6,2,7,1,4,5]=>[3,6,2,1,4,5]=>1
[3,6,2,7,1,5,4]=>[3,6,2,1,5,4]=>1
[3,6,2,7,4,1,5]=>[3,6,2,4,1,5]=>2
[3,6,2,7,4,5,1]=>[3,6,2,4,5,1]=>4
[3,6,2,7,5,1,4]=>[3,6,2,5,1,4]=>2
[3,6,2,7,5,4,1]=>[3,6,2,5,4,1]=>2
[3,6,4,1,2,5,7]=>[3,6,4,1,2,5]=>2
[3,6,4,1,2,7,5]=>[3,6,4,1,2,5]=>2
[3,6,4,1,5,2,7]=>[3,6,4,1,5,2]=>4
[3,6,4,1,5,7,2]=>[3,6,4,1,5,2]=>4
[3,6,4,1,7,2,5]=>[3,6,4,1,2,5]=>2
[3,6,4,1,7,5,2]=>[3,6,4,1,5,2]=>4
[3,6,4,2,1,5,7]=>[3,6,4,2,1,5]=>1
[3,6,4,2,1,7,5]=>[3,6,4,2,1,5]=>1
[3,6,4,2,5,1,7]=>[3,6,4,2,5,1]=>2
[3,6,4,2,5,7,1]=>[3,6,4,2,5,1]=>2
[3,6,4,2,7,1,5]=>[3,6,4,2,1,5]=>1
[3,6,4,2,7,5,1]=>[3,6,4,2,5,1]=>2
[3,6,4,5,1,2,7]=>[3,6,4,5,1,2]=>6
[3,6,4,5,1,7,2]=>[3,6,4,5,1,2]=>6
[3,6,4,5,2,1,7]=>[3,6,4,5,2,1]=>2
[3,6,4,5,2,7,1]=>[3,6,4,5,2,1]=>2
[3,6,4,5,7,1,2]=>[3,6,4,5,1,2]=>6
[3,6,4,5,7,2,1]=>[3,6,4,5,2,1]=>2
[3,6,4,7,1,2,5]=>[3,6,4,1,2,5]=>2
[3,6,4,7,1,5,2]=>[3,6,4,1,5,2]=>4
[3,6,4,7,2,1,5]=>[3,6,4,2,1,5]=>1
[3,6,4,7,2,5,1]=>[3,6,4,2,5,1]=>2
[3,6,4,7,5,1,2]=>[3,6,4,5,1,2]=>6
[3,6,4,7,5,2,1]=>[3,6,4,5,2,1]=>2
[3,6,5,1,2,4,7]=>[3,6,5,1,2,4]=>2
[3,6,5,1,2,7,4]=>[3,6,5,1,2,4]=>2
[3,6,5,1,4,2,7]=>[3,6,5,1,4,2]=>2
[3,6,5,1,4,7,2]=>[3,6,5,1,4,2]=>2
[3,6,5,1,7,2,4]=>[3,6,5,1,2,4]=>2
[3,6,5,1,7,4,2]=>[3,6,5,1,4,2]=>2
[3,6,5,2,1,4,7]=>[3,6,5,2,1,4]=>1
[3,6,5,2,1,7,4]=>[3,6,5,2,1,4]=>1
[3,6,5,2,4,1,7]=>[3,6,5,2,4,1]=>2
[3,6,5,2,4,7,1]=>[3,6,5,2,4,1]=>2
[3,6,5,2,7,1,4]=>[3,6,5,2,1,4]=>1
[3,6,5,2,7,4,1]=>[3,6,5,2,4,1]=>2
[3,6,5,4,1,2,7]=>[3,6,5,4,1,2]=>2
[3,6,5,4,1,7,2]=>[3,6,5,4,1,2]=>2
[3,6,5,4,2,1,7]=>[3,6,5,4,2,1]=>1
[3,6,5,4,2,7,1]=>[3,6,5,4,2,1]=>1
[3,6,5,4,7,1,2]=>[3,6,5,4,1,2]=>2
[3,6,5,4,7,2,1]=>[3,6,5,4,2,1]=>1
[3,6,5,7,1,2,4]=>[3,6,5,1,2,4]=>2
[3,6,5,7,1,4,2]=>[3,6,5,1,4,2]=>2
[3,6,5,7,2,1,4]=>[3,6,5,2,1,4]=>1
[3,6,5,7,2,4,1]=>[3,6,5,2,4,1]=>2
[3,6,5,7,4,1,2]=>[3,6,5,4,1,2]=>2
[3,6,5,7,4,2,1]=>[3,6,5,4,2,1]=>1
[3,6,7,1,2,4,5]=>[3,6,1,2,4,5]=>2
[3,6,7,1,2,5,4]=>[3,6,1,2,5,4]=>2
[3,6,7,1,4,2,5]=>[3,6,1,4,2,5]=>2
[3,6,7,1,4,5,2]=>[3,6,1,4,5,2]=>4
[3,6,7,1,5,2,4]=>[3,6,1,5,2,4]=>2
[3,6,7,1,5,4,2]=>[3,6,1,5,4,2]=>2
[3,6,7,2,1,4,5]=>[3,6,2,1,4,5]=>1
[3,6,7,2,1,5,4]=>[3,6,2,1,5,4]=>1
[3,6,7,2,4,1,5]=>[3,6,2,4,1,5]=>2
[3,6,7,2,4,5,1]=>[3,6,2,4,5,1]=>4
[3,6,7,2,5,1,4]=>[3,6,2,5,1,4]=>2
[3,6,7,2,5,4,1]=>[3,6,2,5,4,1]=>2
[3,6,7,4,1,2,5]=>[3,6,4,1,2,5]=>2
[3,6,7,4,1,5,2]=>[3,6,4,1,5,2]=>4
[3,6,7,4,2,1,5]=>[3,6,4,2,1,5]=>1
[3,6,7,4,2,5,1]=>[3,6,4,2,5,1]=>2
[3,6,7,4,5,1,2]=>[3,6,4,5,1,2]=>6
[3,6,7,4,5,2,1]=>[3,6,4,5,2,1]=>2
[3,6,7,5,1,2,4]=>[3,6,5,1,2,4]=>2
[3,6,7,5,1,4,2]=>[3,6,5,1,4,2]=>2
[3,6,7,5,2,1,4]=>[3,6,5,2,1,4]=>1
[3,6,7,5,2,4,1]=>[3,6,5,2,4,1]=>2
[3,6,7,5,4,1,2]=>[3,6,5,4,1,2]=>2
[3,6,7,5,4,2,1]=>[3,6,5,4,2,1]=>1
[3,7,1,2,4,5,6]=>[3,1,2,4,5,6]=>1
[3,7,1,2,4,6,5]=>[3,1,2,4,6,5]=>1
[3,7,1,2,5,4,6]=>[3,1,2,5,4,6]=>1
[3,7,1,2,5,6,4]=>[3,1,2,5,6,4]=>1
[3,7,1,2,6,4,5]=>[3,1,2,6,4,5]=>1
[3,7,1,2,6,5,4]=>[3,1,2,6,5,4]=>1
[3,7,1,4,2,5,6]=>[3,1,4,2,5,6]=>1
[3,7,1,4,2,6,5]=>[3,1,4,2,6,5]=>1
[3,7,1,4,5,2,6]=>[3,1,4,5,2,6]=>1
[3,7,1,4,5,6,2]=>[3,1,4,5,6,2]=>1
[3,7,1,4,6,2,5]=>[3,1,4,6,2,5]=>1
[3,7,1,4,6,5,2]=>[3,1,4,6,5,2]=>1
[3,7,1,5,2,4,6]=>[3,1,5,2,4,6]=>1
[3,7,1,5,2,6,4]=>[3,1,5,2,6,4]=>1
[3,7,1,5,4,2,6]=>[3,1,5,4,2,6]=>1
[3,7,1,5,4,6,2]=>[3,1,5,4,6,2]=>1
[3,7,1,5,6,2,4]=>[3,1,5,6,2,4]=>2
[3,7,1,5,6,4,2]=>[3,1,5,6,4,2]=>1
[3,7,1,6,2,4,5]=>[3,1,6,2,4,5]=>1
[3,7,1,6,2,5,4]=>[3,1,6,2,5,4]=>1
[3,7,1,6,4,2,5]=>[3,1,6,4,2,5]=>1
[3,7,1,6,4,5,2]=>[3,1,6,4,5,2]=>2
[3,7,1,6,5,2,4]=>[3,1,6,5,2,4]=>1
[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>1
[3,7,2,1,4,5,6]=>[3,2,1,4,5,6]=>1
[3,7,2,1,4,6,5]=>[3,2,1,4,6,5]=>1
[3,7,2,1,5,4,6]=>[3,2,1,5,4,6]=>1
[3,7,2,1,5,6,4]=>[3,2,1,5,6,4]=>1
[3,7,2,1,6,4,5]=>[3,2,1,6,4,5]=>1
[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>1
[3,7,2,4,1,5,6]=>[3,2,4,1,5,6]=>1
[3,7,2,4,1,6,5]=>[3,2,4,1,6,5]=>1
[3,7,2,4,5,1,6]=>[3,2,4,5,1,6]=>1
[3,7,2,4,5,6,1]=>[3,2,4,5,6,1]=>1
[3,7,2,4,6,1,5]=>[3,2,4,6,1,5]=>1
[3,7,2,4,6,5,1]=>[3,2,4,6,5,1]=>1
[3,7,2,5,1,4,6]=>[3,2,5,1,4,6]=>1
[3,7,2,5,1,6,4]=>[3,2,5,1,6,4]=>1
[3,7,2,5,4,1,6]=>[3,2,5,4,1,6]=>1
[3,7,2,5,4,6,1]=>[3,2,5,4,6,1]=>1
[3,7,2,5,6,1,4]=>[3,2,5,6,1,4]=>2
[3,7,2,5,6,4,1]=>[3,2,5,6,4,1]=>1
[3,7,2,6,1,4,5]=>[3,2,6,1,4,5]=>1
[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>1
[3,7,2,6,4,1,5]=>[3,2,6,4,1,5]=>1
[3,7,2,6,4,5,1]=>[3,2,6,4,5,1]=>2
[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>1
[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>1
[3,7,4,1,2,5,6]=>[3,4,1,2,5,6]=>2
[3,7,4,1,2,6,5]=>[3,4,1,2,6,5]=>2
[3,7,4,1,5,2,6]=>[3,4,1,5,2,6]=>2
[3,7,4,1,5,6,2]=>[3,4,1,5,6,2]=>2
[3,7,4,1,6,2,5]=>[3,4,1,6,2,5]=>2
[3,7,4,1,6,5,2]=>[3,4,1,6,5,2]=>2
[3,7,4,2,1,5,6]=>[3,4,2,1,5,6]=>1
[3,7,4,2,1,6,5]=>[3,4,2,1,6,5]=>1
[3,7,4,2,5,1,6]=>[3,4,2,5,1,6]=>1
[3,7,4,2,5,6,1]=>[3,4,2,5,6,1]=>1
[3,7,4,2,6,1,5]=>[3,4,2,6,1,5]=>1
[3,7,4,2,6,5,1]=>[3,4,2,6,5,1]=>1
[3,7,4,5,1,2,6]=>[3,4,5,1,2,6]=>3
[3,7,4,5,1,6,2]=>[3,4,5,1,6,2]=>3
[3,7,4,5,2,1,6]=>[3,4,5,2,1,6]=>1
[3,7,4,5,2,6,1]=>[3,4,5,2,6,1]=>1
[3,7,4,5,6,1,2]=>[3,4,5,6,1,2]=>5
[3,7,4,5,6,2,1]=>[3,4,5,6,2,1]=>1
[3,7,4,6,1,2,5]=>[3,4,6,1,2,5]=>3
[3,7,4,6,1,5,2]=>[3,4,6,1,5,2]=>3
[3,7,4,6,2,1,5]=>[3,4,6,2,1,5]=>1
[3,7,4,6,2,5,1]=>[3,4,6,2,5,1]=>2
[3,7,4,6,5,1,2]=>[3,4,6,5,1,2]=>3
[3,7,4,6,5,2,1]=>[3,4,6,5,2,1]=>1
[3,7,5,1,2,4,6]=>[3,5,1,2,4,6]=>2
[3,7,5,1,2,6,4]=>[3,5,1,2,6,4]=>2
[3,7,5,1,4,2,6]=>[3,5,1,4,2,6]=>2
[3,7,5,1,4,6,2]=>[3,5,1,4,6,2]=>2
[3,7,5,1,6,2,4]=>[3,5,1,6,2,4]=>4
[3,7,5,1,6,4,2]=>[3,5,1,6,4,2]=>2
[3,7,5,2,1,4,6]=>[3,5,2,1,4,6]=>1
[3,7,5,2,1,6,4]=>[3,5,2,1,6,4]=>1
[3,7,5,2,4,1,6]=>[3,5,2,4,1,6]=>2
[3,7,5,2,4,6,1]=>[3,5,2,4,6,1]=>2
[3,7,5,2,6,1,4]=>[3,5,2,6,1,4]=>2
[3,7,5,2,6,4,1]=>[3,5,2,6,4,1]=>2
[3,7,5,4,1,2,6]=>[3,5,4,1,2,6]=>2
[3,7,5,4,1,6,2]=>[3,5,4,1,6,2]=>2
[3,7,5,4,2,1,6]=>[3,5,4,2,1,6]=>1
[3,7,5,4,2,6,1]=>[3,5,4,2,6,1]=>1
[3,7,5,4,6,1,2]=>[3,5,4,6,1,2]=>4
[3,7,5,4,6,2,1]=>[3,5,4,6,2,1]=>1
[3,7,5,6,1,2,4]=>[3,5,6,1,2,4]=>5
[3,7,5,6,1,4,2]=>[3,5,6,1,4,2]=>3
[3,7,5,6,2,1,4]=>[3,5,6,2,1,4]=>2
[3,7,5,6,2,4,1]=>[3,5,6,2,4,1]=>3
[3,7,5,6,4,1,2]=>[3,5,6,4,1,2]=>3
[3,7,5,6,4,2,1]=>[3,5,6,4,2,1]=>1
[3,7,6,1,2,4,5]=>[3,6,1,2,4,5]=>2
[3,7,6,1,2,5,4]=>[3,6,1,2,5,4]=>2
[3,7,6,1,4,2,5]=>[3,6,1,4,2,5]=>2
[3,7,6,1,4,5,2]=>[3,6,1,4,5,2]=>4
[3,7,6,1,5,2,4]=>[3,6,1,5,2,4]=>2
[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>2
[3,7,6,2,1,4,5]=>[3,6,2,1,4,5]=>1
[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>1
[3,7,6,2,4,1,5]=>[3,6,2,4,1,5]=>2
[3,7,6,2,4,5,1]=>[3,6,2,4,5,1]=>4
[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>2
[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>2
[3,7,6,4,1,2,5]=>[3,6,4,1,2,5]=>2
[3,7,6,4,1,5,2]=>[3,6,4,1,5,2]=>4
[3,7,6,4,2,1,5]=>[3,6,4,2,1,5]=>1
[3,7,6,4,2,5,1]=>[3,6,4,2,5,1]=>2
[3,7,6,4,5,1,2]=>[3,6,4,5,1,2]=>6
[3,7,6,4,5,2,1]=>[3,6,4,5,2,1]=>2
[3,7,6,5,1,2,4]=>[3,6,5,1,2,4]=>2
[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>2
[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>1
[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>2
[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>2
[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>1
[4,1,2,3,5,6,7]=>[4,1,2,3,5,6]=>1
[4,1,2,3,5,7,6]=>[4,1,2,3,5,6]=>1
[4,1,2,3,6,5,7]=>[4,1,2,3,6,5]=>1
[4,1,2,3,6,7,5]=>[4,1,2,3,6,5]=>1
[4,1,2,3,7,5,6]=>[4,1,2,3,5,6]=>1
[4,1,2,3,7,6,5]=>[4,1,2,3,6,5]=>1
[4,1,2,5,3,6,7]=>[4,1,2,5,3,6]=>1
[4,1,2,5,3,7,6]=>[4,1,2,5,3,6]=>1
[4,1,2,5,6,3,7]=>[4,1,2,5,6,3]=>1
[4,1,2,5,6,7,3]=>[4,1,2,5,6,3]=>1
[4,1,2,5,7,3,6]=>[4,1,2,5,3,6]=>1
[4,1,2,5,7,6,3]=>[4,1,2,5,6,3]=>1
[4,1,2,6,3,5,7]=>[4,1,2,6,3,5]=>1
[4,1,2,6,3,7,5]=>[4,1,2,6,3,5]=>1
[4,1,2,6,5,3,7]=>[4,1,2,6,5,3]=>1
[4,1,2,6,5,7,3]=>[4,1,2,6,5,3]=>1
[4,1,2,6,7,3,5]=>[4,1,2,6,3,5]=>1
[4,1,2,6,7,5,3]=>[4,1,2,6,5,3]=>1
[4,1,2,7,3,5,6]=>[4,1,2,3,5,6]=>1
[4,1,2,7,3,6,5]=>[4,1,2,3,6,5]=>1
[4,1,2,7,5,3,6]=>[4,1,2,5,3,6]=>1
[4,1,2,7,5,6,3]=>[4,1,2,5,6,3]=>1
[4,1,2,7,6,3,5]=>[4,1,2,6,3,5]=>1
[4,1,2,7,6,5,3]=>[4,1,2,6,5,3]=>1
[4,1,3,2,5,6,7]=>[4,1,3,2,5,6]=>1
[4,1,3,2,5,7,6]=>[4,1,3,2,5,6]=>1
[4,1,3,2,6,5,7]=>[4,1,3,2,6,5]=>1
[4,1,3,2,6,7,5]=>[4,1,3,2,6,5]=>1
[4,1,3,2,7,5,6]=>[4,1,3,2,5,6]=>1
[4,1,3,2,7,6,5]=>[4,1,3,2,6,5]=>1
[4,1,3,5,2,6,7]=>[4,1,3,5,2,6]=>1
[4,1,3,5,2,7,6]=>[4,1,3,5,2,6]=>1
[4,1,3,5,6,2,7]=>[4,1,3,5,6,2]=>1
[4,1,3,5,6,7,2]=>[4,1,3,5,6,2]=>1
[4,1,3,5,7,2,6]=>[4,1,3,5,2,6]=>1
[4,1,3,5,7,6,2]=>[4,1,3,5,6,2]=>1
[4,1,3,6,2,5,7]=>[4,1,3,6,2,5]=>1
[4,1,3,6,2,7,5]=>[4,1,3,6,2,5]=>1
[4,1,3,6,5,2,7]=>[4,1,3,6,5,2]=>1
[4,1,3,6,5,7,2]=>[4,1,3,6,5,2]=>1
[4,1,3,6,7,2,5]=>[4,1,3,6,2,5]=>1
[4,1,3,6,7,5,2]=>[4,1,3,6,5,2]=>1
[4,1,3,7,2,5,6]=>[4,1,3,2,5,6]=>1
[4,1,3,7,2,6,5]=>[4,1,3,2,6,5]=>1
[4,1,3,7,5,2,6]=>[4,1,3,5,2,6]=>1
[4,1,3,7,5,6,2]=>[4,1,3,5,6,2]=>1
[4,1,3,7,6,2,5]=>[4,1,3,6,2,5]=>1
[4,1,3,7,6,5,2]=>[4,1,3,6,5,2]=>1
[4,1,5,2,3,6,7]=>[4,1,5,2,3,6]=>2
[4,1,5,2,3,7,6]=>[4,1,5,2,3,6]=>2
[4,1,5,2,6,3,7]=>[4,1,5,2,6,3]=>2
[4,1,5,2,6,7,3]=>[4,1,5,2,6,3]=>2
[4,1,5,2,7,3,6]=>[4,1,5,2,3,6]=>2
[4,1,5,2,7,6,3]=>[4,1,5,2,6,3]=>2
[4,1,5,3,2,6,7]=>[4,1,5,3,2,6]=>1
[4,1,5,3,2,7,6]=>[4,1,5,3,2,6]=>1
[4,1,5,3,6,2,7]=>[4,1,5,3,6,2]=>1
[4,1,5,3,6,7,2]=>[4,1,5,3,6,2]=>1
[4,1,5,3,7,2,6]=>[4,1,5,3,2,6]=>1
[4,1,5,3,7,6,2]=>[4,1,5,3,6,2]=>1
[4,1,5,6,2,3,7]=>[4,1,5,6,2,3]=>3
[4,1,5,6,2,7,3]=>[4,1,5,6,2,3]=>3
[4,1,5,6,3,2,7]=>[4,1,5,6,3,2]=>1
[4,1,5,6,3,7,2]=>[4,1,5,6,3,2]=>1
[4,1,5,6,7,2,3]=>[4,1,5,6,2,3]=>3
[4,1,5,6,7,3,2]=>[4,1,5,6,3,2]=>1
[4,1,5,7,2,3,6]=>[4,1,5,2,3,6]=>2
[4,1,5,7,2,6,3]=>[4,1,5,2,6,3]=>2
[4,1,5,7,3,2,6]=>[4,1,5,3,2,6]=>1
[4,1,5,7,3,6,2]=>[4,1,5,3,6,2]=>1
[4,1,5,7,6,2,3]=>[4,1,5,6,2,3]=>3
[4,1,5,7,6,3,2]=>[4,1,5,6,3,2]=>1
[4,1,6,2,3,5,7]=>[4,1,6,2,3,5]=>2
[4,1,6,2,3,7,5]=>[4,1,6,2,3,5]=>2
[4,1,6,2,5,3,7]=>[4,1,6,2,5,3]=>2
[4,1,6,2,5,7,3]=>[4,1,6,2,5,3]=>2
[4,1,6,2,7,3,5]=>[4,1,6,2,3,5]=>2
[4,1,6,2,7,5,3]=>[4,1,6,2,5,3]=>2
[4,1,6,3,2,5,7]=>[4,1,6,3,2,5]=>1
[4,1,6,3,2,7,5]=>[4,1,6,3,2,5]=>1
[4,1,6,3,5,2,7]=>[4,1,6,3,5,2]=>2
[4,1,6,3,5,7,2]=>[4,1,6,3,5,2]=>2
[4,1,6,3,7,2,5]=>[4,1,6,3,2,5]=>1
[4,1,6,3,7,5,2]=>[4,1,6,3,5,2]=>2
[4,1,6,5,2,3,7]=>[4,1,6,5,2,3]=>2
[4,1,6,5,2,7,3]=>[4,1,6,5,2,3]=>2
[4,1,6,5,3,2,7]=>[4,1,6,5,3,2]=>1
[4,1,6,5,3,7,2]=>[4,1,6,5,3,2]=>1
[4,1,6,5,7,2,3]=>[4,1,6,5,2,3]=>2
[4,1,6,5,7,3,2]=>[4,1,6,5,3,2]=>1
[4,1,6,7,2,3,5]=>[4,1,6,2,3,5]=>2
[4,1,6,7,2,5,3]=>[4,1,6,2,5,3]=>2
[4,1,6,7,3,2,5]=>[4,1,6,3,2,5]=>1
[4,1,6,7,3,5,2]=>[4,1,6,3,5,2]=>2
[4,1,6,7,5,2,3]=>[4,1,6,5,2,3]=>2
[4,1,6,7,5,3,2]=>[4,1,6,5,3,2]=>1
[4,1,7,2,3,5,6]=>[4,1,2,3,5,6]=>1
[4,1,7,2,3,6,5]=>[4,1,2,3,6,5]=>1
[4,1,7,2,5,3,6]=>[4,1,2,5,3,6]=>1
[4,1,7,2,5,6,3]=>[4,1,2,5,6,3]=>1
[4,1,7,2,6,3,5]=>[4,1,2,6,3,5]=>1
[4,1,7,2,6,5,3]=>[4,1,2,6,5,3]=>1
[4,1,7,3,2,5,6]=>[4,1,3,2,5,6]=>1
[4,1,7,3,2,6,5]=>[4,1,3,2,6,5]=>1
[4,1,7,3,5,2,6]=>[4,1,3,5,2,6]=>1
[4,1,7,3,5,6,2]=>[4,1,3,5,6,2]=>1
[4,1,7,3,6,2,5]=>[4,1,3,6,2,5]=>1
[4,1,7,3,6,5,2]=>[4,1,3,6,5,2]=>1
[4,1,7,5,2,3,6]=>[4,1,5,2,3,6]=>2
[4,1,7,5,2,6,3]=>[4,1,5,2,6,3]=>2
[4,1,7,5,3,2,6]=>[4,1,5,3,2,6]=>1
[4,1,7,5,3,6,2]=>[4,1,5,3,6,2]=>1
[4,1,7,5,6,2,3]=>[4,1,5,6,2,3]=>3
[4,1,7,5,6,3,2]=>[4,1,5,6,3,2]=>1
[4,1,7,6,2,3,5]=>[4,1,6,2,3,5]=>2
[4,1,7,6,2,5,3]=>[4,1,6,2,5,3]=>2
[4,1,7,6,3,2,5]=>[4,1,6,3,2,5]=>1
[4,1,7,6,3,5,2]=>[4,1,6,3,5,2]=>2
[4,1,7,6,5,2,3]=>[4,1,6,5,2,3]=>2
[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>1
[4,2,1,3,5,6,7]=>[4,2,1,3,5,6]=>1
[4,2,1,3,5,7,6]=>[4,2,1,3,5,6]=>1
[4,2,1,3,6,5,7]=>[4,2,1,3,6,5]=>1
[4,2,1,3,6,7,5]=>[4,2,1,3,6,5]=>1
[4,2,1,3,7,5,6]=>[4,2,1,3,5,6]=>1
[4,2,1,3,7,6,5]=>[4,2,1,3,6,5]=>1
[4,2,1,5,3,6,7]=>[4,2,1,5,3,6]=>1
[4,2,1,5,3,7,6]=>[4,2,1,5,3,6]=>1
[4,2,1,5,6,3,7]=>[4,2,1,5,6,3]=>1
[4,2,1,5,6,7,3]=>[4,2,1,5,6,3]=>1
[4,2,1,5,7,3,6]=>[4,2,1,5,3,6]=>1
[4,2,1,5,7,6,3]=>[4,2,1,5,6,3]=>1
[4,2,1,6,3,5,7]=>[4,2,1,6,3,5]=>1
[4,2,1,6,3,7,5]=>[4,2,1,6,3,5]=>1
[4,2,1,6,5,3,7]=>[4,2,1,6,5,3]=>1
[4,2,1,6,5,7,3]=>[4,2,1,6,5,3]=>1
[4,2,1,6,7,3,5]=>[4,2,1,6,3,5]=>1
[4,2,1,6,7,5,3]=>[4,2,1,6,5,3]=>1
[4,2,1,7,3,5,6]=>[4,2,1,3,5,6]=>1
[4,2,1,7,3,6,5]=>[4,2,1,3,6,5]=>1
[4,2,1,7,5,3,6]=>[4,2,1,5,3,6]=>1
[4,2,1,7,5,6,3]=>[4,2,1,5,6,3]=>1
[4,2,1,7,6,3,5]=>[4,2,1,6,3,5]=>1
[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>1
[4,2,3,1,5,6,7]=>[4,2,3,1,5,6]=>2
[4,2,3,1,5,7,6]=>[4,2,3,1,5,6]=>2
[4,2,3,1,6,5,7]=>[4,2,3,1,6,5]=>2
[4,2,3,1,6,7,5]=>[4,2,3,1,6,5]=>2
[4,2,3,1,7,5,6]=>[4,2,3,1,5,6]=>2
[4,2,3,1,7,6,5]=>[4,2,3,1,6,5]=>2
[4,2,3,5,1,6,7]=>[4,2,3,5,1,6]=>2
[4,2,3,5,1,7,6]=>[4,2,3,5,1,6]=>2
[4,2,3,5,6,1,7]=>[4,2,3,5,6,1]=>2
[4,2,3,5,6,7,1]=>[4,2,3,5,6,1]=>2
[4,2,3,5,7,1,6]=>[4,2,3,5,1,6]=>2
[4,2,3,5,7,6,1]=>[4,2,3,5,6,1]=>2
[4,2,3,6,1,5,7]=>[4,2,3,6,1,5]=>2
[4,2,3,6,1,7,5]=>[4,2,3,6,1,5]=>2
[4,2,3,6,5,1,7]=>[4,2,3,6,5,1]=>2
[4,2,3,6,5,7,1]=>[4,2,3,6,5,1]=>2
[4,2,3,6,7,1,5]=>[4,2,3,6,1,5]=>2
[4,2,3,6,7,5,1]=>[4,2,3,6,5,1]=>2
[4,2,3,7,1,5,6]=>[4,2,3,1,5,6]=>2
[4,2,3,7,1,6,5]=>[4,2,3,1,6,5]=>2
[4,2,3,7,5,1,6]=>[4,2,3,5,1,6]=>2
[4,2,3,7,5,6,1]=>[4,2,3,5,6,1]=>2
[4,2,3,7,6,1,5]=>[4,2,3,6,1,5]=>2
[4,2,3,7,6,5,1]=>[4,2,3,6,5,1]=>2
[4,2,5,1,3,6,7]=>[4,2,5,1,3,6]=>2
[4,2,5,1,3,7,6]=>[4,2,5,1,3,6]=>2
[4,2,5,1,6,3,7]=>[4,2,5,1,6,3]=>2
[4,2,5,1,6,7,3]=>[4,2,5,1,6,3]=>2
[4,2,5,1,7,3,6]=>[4,2,5,1,3,6]=>2
[4,2,5,1,7,6,3]=>[4,2,5,1,6,3]=>2
[4,2,5,3,1,6,7]=>[4,2,5,3,1,6]=>2
[4,2,5,3,1,7,6]=>[4,2,5,3,1,6]=>2
[4,2,5,3,6,1,7]=>[4,2,5,3,6,1]=>2
[4,2,5,3,6,7,1]=>[4,2,5,3,6,1]=>2
[4,2,5,3,7,1,6]=>[4,2,5,3,1,6]=>2
[4,2,5,3,7,6,1]=>[4,2,5,3,6,1]=>2
[4,2,5,6,1,3,7]=>[4,2,5,6,1,3]=>3
[4,2,5,6,1,7,3]=>[4,2,5,6,1,3]=>3
[4,2,5,6,3,1,7]=>[4,2,5,6,3,1]=>2
[4,2,5,6,3,7,1]=>[4,2,5,6,3,1]=>2
[4,2,5,6,7,1,3]=>[4,2,5,6,1,3]=>3
[4,2,5,6,7,3,1]=>[4,2,5,6,3,1]=>2
[4,2,5,7,1,3,6]=>[4,2,5,1,3,6]=>2
[4,2,5,7,1,6,3]=>[4,2,5,1,6,3]=>2
[4,2,5,7,3,1,6]=>[4,2,5,3,1,6]=>2
[4,2,5,7,3,6,1]=>[4,2,5,3,6,1]=>2
[4,2,5,7,6,1,3]=>[4,2,5,6,1,3]=>3
[4,2,5,7,6,3,1]=>[4,2,5,6,3,1]=>2
[4,2,6,1,3,5,7]=>[4,2,6,1,3,5]=>2
[4,2,6,1,3,7,5]=>[4,2,6,1,3,5]=>2
[4,2,6,1,5,3,7]=>[4,2,6,1,5,3]=>2
[4,2,6,1,5,7,3]=>[4,2,6,1,5,3]=>2
[4,2,6,1,7,3,5]=>[4,2,6,1,3,5]=>2
[4,2,6,1,7,5,3]=>[4,2,6,1,5,3]=>2
[4,2,6,3,1,5,7]=>[4,2,6,3,1,5]=>2
[4,2,6,3,1,7,5]=>[4,2,6,3,1,5]=>2
[4,2,6,3,5,1,7]=>[4,2,6,3,5,1]=>4
[4,2,6,3,5,7,1]=>[4,2,6,3,5,1]=>4
[4,2,6,3,7,1,5]=>[4,2,6,3,1,5]=>2
[4,2,6,3,7,5,1]=>[4,2,6,3,5,1]=>4
[4,2,6,5,1,3,7]=>[4,2,6,5,1,3]=>2
[4,2,6,5,1,7,3]=>[4,2,6,5,1,3]=>2
[4,2,6,5,3,1,7]=>[4,2,6,5,3,1]=>2
[4,2,6,5,3,7,1]=>[4,2,6,5,3,1]=>2
[4,2,6,5,7,1,3]=>[4,2,6,5,1,3]=>2
[4,2,6,5,7,3,1]=>[4,2,6,5,3,1]=>2
[4,2,6,7,1,3,5]=>[4,2,6,1,3,5]=>2
[4,2,6,7,1,5,3]=>[4,2,6,1,5,3]=>2
[4,2,6,7,3,1,5]=>[4,2,6,3,1,5]=>2
[4,2,6,7,3,5,1]=>[4,2,6,3,5,1]=>4
[4,2,6,7,5,1,3]=>[4,2,6,5,1,3]=>2
[4,2,6,7,5,3,1]=>[4,2,6,5,3,1]=>2
[4,2,7,1,3,5,6]=>[4,2,1,3,5,6]=>1
[4,2,7,1,3,6,5]=>[4,2,1,3,6,5]=>1
[4,2,7,1,5,3,6]=>[4,2,1,5,3,6]=>1
[4,2,7,1,5,6,3]=>[4,2,1,5,6,3]=>1
[4,2,7,1,6,3,5]=>[4,2,1,6,3,5]=>1
[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>1
[4,2,7,3,1,5,6]=>[4,2,3,1,5,6]=>2
[4,2,7,3,1,6,5]=>[4,2,3,1,6,5]=>2
[4,2,7,3,5,1,6]=>[4,2,3,5,1,6]=>2
[4,2,7,3,5,6,1]=>[4,2,3,5,6,1]=>2
[4,2,7,3,6,1,5]=>[4,2,3,6,1,5]=>2
[4,2,7,3,6,5,1]=>[4,2,3,6,5,1]=>2
[4,2,7,5,1,3,6]=>[4,2,5,1,3,6]=>2
[4,2,7,5,1,6,3]=>[4,2,5,1,6,3]=>2
[4,2,7,5,3,1,6]=>[4,2,5,3,1,6]=>2
[4,2,7,5,3,6,1]=>[4,2,5,3,6,1]=>2
[4,2,7,5,6,1,3]=>[4,2,5,6,1,3]=>3
[4,2,7,5,6,3,1]=>[4,2,5,6,3,1]=>2
[4,2,7,6,1,3,5]=>[4,2,6,1,3,5]=>2
[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>2
[4,2,7,6,3,1,5]=>[4,2,6,3,1,5]=>2
[4,2,7,6,3,5,1]=>[4,2,6,3,5,1]=>4
[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>2
[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>2
[4,3,1,2,5,6,7]=>[4,3,1,2,5,6]=>1
[4,3,1,2,5,7,6]=>[4,3,1,2,5,6]=>1
[4,3,1,2,6,5,7]=>[4,3,1,2,6,5]=>1
[4,3,1,2,6,7,5]=>[4,3,1,2,6,5]=>1
[4,3,1,2,7,5,6]=>[4,3,1,2,5,6]=>1
[4,3,1,2,7,6,5]=>[4,3,1,2,6,5]=>1
[4,3,1,5,2,6,7]=>[4,3,1,5,2,6]=>1
[4,3,1,5,2,7,6]=>[4,3,1,5,2,6]=>1
[4,3,1,5,6,2,7]=>[4,3,1,5,6,2]=>1
[4,3,1,5,6,7,2]=>[4,3,1,5,6,2]=>1
[4,3,1,5,7,2,6]=>[4,3,1,5,2,6]=>1
[4,3,1,5,7,6,2]=>[4,3,1,5,6,2]=>1
[4,3,1,6,2,5,7]=>[4,3,1,6,2,5]=>1
[4,3,1,6,2,7,5]=>[4,3,1,6,2,5]=>1
[4,3,1,6,5,2,7]=>[4,3,1,6,5,2]=>1
[4,3,1,6,5,7,2]=>[4,3,1,6,5,2]=>1
[4,3,1,6,7,2,5]=>[4,3,1,6,2,5]=>1
[4,3,1,6,7,5,2]=>[4,3,1,6,5,2]=>1
[4,3,1,7,2,5,6]=>[4,3,1,2,5,6]=>1
[4,3,1,7,2,6,5]=>[4,3,1,2,6,5]=>1
[4,3,1,7,5,2,6]=>[4,3,1,5,2,6]=>1
[4,3,1,7,5,6,2]=>[4,3,1,5,6,2]=>1
[4,3,1,7,6,2,5]=>[4,3,1,6,2,5]=>1
[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>1
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6]=>1
[4,3,2,1,5,7,6]=>[4,3,2,1,5,6]=>1
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5]=>1
[4,3,2,1,6,7,5]=>[4,3,2,1,6,5]=>1
[4,3,2,1,7,5,6]=>[4,3,2,1,5,6]=>1
[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>1
[4,3,2,5,1,6,7]=>[4,3,2,5,1,6]=>1
[4,3,2,5,1,7,6]=>[4,3,2,5,1,6]=>1
[4,3,2,5,6,1,7]=>[4,3,2,5,6,1]=>1
[4,3,2,5,6,7,1]=>[4,3,2,5,6,1]=>1
[4,3,2,5,7,1,6]=>[4,3,2,5,1,6]=>1
[4,3,2,5,7,6,1]=>[4,3,2,5,6,1]=>1
[4,3,2,6,1,5,7]=>[4,3,2,6,1,5]=>1
[4,3,2,6,1,7,5]=>[4,3,2,6,1,5]=>1
[4,3,2,6,5,1,7]=>[4,3,2,6,5,1]=>1
[4,3,2,6,5,7,1]=>[4,3,2,6,5,1]=>1
[4,3,2,6,7,1,5]=>[4,3,2,6,1,5]=>1
[4,3,2,6,7,5,1]=>[4,3,2,6,5,1]=>1
[4,3,2,7,1,5,6]=>[4,3,2,1,5,6]=>1
[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>1
[4,3,2,7,5,1,6]=>[4,3,2,5,1,6]=>1
[4,3,2,7,5,6,1]=>[4,3,2,5,6,1]=>1
[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>1
[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>1
[4,3,5,1,2,6,7]=>[4,3,5,1,2,6]=>2
[4,3,5,1,2,7,6]=>[4,3,5,1,2,6]=>2
[4,3,5,1,6,2,7]=>[4,3,5,1,6,2]=>2
[4,3,5,1,6,7,2]=>[4,3,5,1,6,2]=>2
[4,3,5,1,7,2,6]=>[4,3,5,1,2,6]=>2
[4,3,5,1,7,6,2]=>[4,3,5,1,6,2]=>2
[4,3,5,2,1,6,7]=>[4,3,5,2,1,6]=>1
[4,3,5,2,1,7,6]=>[4,3,5,2,1,6]=>1
[4,3,5,2,6,1,7]=>[4,3,5,2,6,1]=>1
[4,3,5,2,6,7,1]=>[4,3,5,2,6,1]=>1
[4,3,5,2,7,1,6]=>[4,3,5,2,1,6]=>1
[4,3,5,2,7,6,1]=>[4,3,5,2,6,1]=>1
[4,3,5,6,1,2,7]=>[4,3,5,6,1,2]=>3
[4,3,5,6,1,7,2]=>[4,3,5,6,1,2]=>3
[4,3,5,6,2,1,7]=>[4,3,5,6,2,1]=>1
[4,3,5,6,2,7,1]=>[4,3,5,6,2,1]=>1
[4,3,5,6,7,1,2]=>[4,3,5,6,1,2]=>3
[4,3,5,6,7,2,1]=>[4,3,5,6,2,1]=>1
[4,3,5,7,1,2,6]=>[4,3,5,1,2,6]=>2
[4,3,5,7,1,6,2]=>[4,3,5,1,6,2]=>2
[4,3,5,7,2,1,6]=>[4,3,5,2,1,6]=>1
[4,3,5,7,2,6,1]=>[4,3,5,2,6,1]=>1
[4,3,5,7,6,1,2]=>[4,3,5,6,1,2]=>3
[4,3,5,7,6,2,1]=>[4,3,5,6,2,1]=>1
[4,3,6,1,2,5,7]=>[4,3,6,1,2,5]=>2
[4,3,6,1,2,7,5]=>[4,3,6,1,2,5]=>2
[4,3,6,1,5,2,7]=>[4,3,6,1,5,2]=>2
[4,3,6,1,5,7,2]=>[4,3,6,1,5,2]=>2
[4,3,6,1,7,2,5]=>[4,3,6,1,2,5]=>2
[4,3,6,1,7,5,2]=>[4,3,6,1,5,2]=>2
[4,3,6,2,1,5,7]=>[4,3,6,2,1,5]=>1
[4,3,6,2,1,7,5]=>[4,3,6,2,1,5]=>1
[4,3,6,2,5,1,7]=>[4,3,6,2,5,1]=>2
[4,3,6,2,5,7,1]=>[4,3,6,2,5,1]=>2
[4,3,6,2,7,1,5]=>[4,3,6,2,1,5]=>1
[4,3,6,2,7,5,1]=>[4,3,6,2,5,1]=>2
[4,3,6,5,1,2,7]=>[4,3,6,5,1,2]=>2
[4,3,6,5,1,7,2]=>[4,3,6,5,1,2]=>2
[4,3,6,5,2,1,7]=>[4,3,6,5,2,1]=>1
[4,3,6,5,2,7,1]=>[4,3,6,5,2,1]=>1
[4,3,6,5,7,1,2]=>[4,3,6,5,1,2]=>2
[4,3,6,5,7,2,1]=>[4,3,6,5,2,1]=>1
[4,3,6,7,1,2,5]=>[4,3,6,1,2,5]=>2
[4,3,6,7,1,5,2]=>[4,3,6,1,5,2]=>2
[4,3,6,7,2,1,5]=>[4,3,6,2,1,5]=>1
[4,3,6,7,2,5,1]=>[4,3,6,2,5,1]=>2
[4,3,6,7,5,1,2]=>[4,3,6,5,1,2]=>2
[4,3,6,7,5,2,1]=>[4,3,6,5,2,1]=>1
[4,3,7,1,2,5,6]=>[4,3,1,2,5,6]=>1
[4,3,7,1,2,6,5]=>[4,3,1,2,6,5]=>1
[4,3,7,1,5,2,6]=>[4,3,1,5,2,6]=>1
[4,3,7,1,5,6,2]=>[4,3,1,5,6,2]=>1
[4,3,7,1,6,2,5]=>[4,3,1,6,2,5]=>1
[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>1
[4,3,7,2,1,5,6]=>[4,3,2,1,5,6]=>1
[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>1
[4,3,7,2,5,1,6]=>[4,3,2,5,1,6]=>1
[4,3,7,2,5,6,1]=>[4,3,2,5,6,1]=>1
[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>1
[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>1
[4,3,7,5,1,2,6]=>[4,3,5,1,2,6]=>2
[4,3,7,5,1,6,2]=>[4,3,5,1,6,2]=>2
[4,3,7,5,2,1,6]=>[4,3,5,2,1,6]=>1
[4,3,7,5,2,6,1]=>[4,3,5,2,6,1]=>1
[4,3,7,5,6,1,2]=>[4,3,5,6,1,2]=>3
[4,3,7,5,6,2,1]=>[4,3,5,6,2,1]=>1
[4,3,7,6,1,2,5]=>[4,3,6,1,2,5]=>2
[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>2
[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>1
[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>2
[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>2
[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>1
[4,5,1,2,3,6,7]=>[4,5,1,2,3,6]=>3
[4,5,1,2,3,7,6]=>[4,5,1,2,3,6]=>3
[4,5,1,2,6,3,7]=>[4,5,1,2,6,3]=>3
[4,5,1,2,6,7,3]=>[4,5,1,2,6,3]=>3
[4,5,1,2,7,3,6]=>[4,5,1,2,3,6]=>3
[4,5,1,2,7,6,3]=>[4,5,1,2,6,3]=>3
[4,5,1,3,2,6,7]=>[4,5,1,3,2,6]=>2
[4,5,1,3,2,7,6]=>[4,5,1,3,2,6]=>2
[4,5,1,3,6,2,7]=>[4,5,1,3,6,2]=>2
[4,5,1,3,6,7,2]=>[4,5,1,3,6,2]=>2
[4,5,1,3,7,2,6]=>[4,5,1,3,2,6]=>2
[4,5,1,3,7,6,2]=>[4,5,1,3,6,2]=>2
[4,5,1,6,2,3,7]=>[4,5,1,6,2,3]=>5
[4,5,1,6,2,7,3]=>[4,5,1,6,2,3]=>5
[4,5,1,6,3,2,7]=>[4,5,1,6,3,2]=>2
[4,5,1,6,3,7,2]=>[4,5,1,6,3,2]=>2
[4,5,1,6,7,2,3]=>[4,5,1,6,2,3]=>5
[4,5,1,6,7,3,2]=>[4,5,1,6,3,2]=>2
[4,5,1,7,2,3,6]=>[4,5,1,2,3,6]=>3
[4,5,1,7,2,6,3]=>[4,5,1,2,6,3]=>3
[4,5,1,7,3,2,6]=>[4,5,1,3,2,6]=>2
[4,5,1,7,3,6,2]=>[4,5,1,3,6,2]=>2
[4,5,1,7,6,2,3]=>[4,5,1,6,2,3]=>5
[4,5,1,7,6,3,2]=>[4,5,1,6,3,2]=>2
[4,5,2,1,3,6,7]=>[4,5,2,1,3,6]=>2
[4,5,2,1,3,7,6]=>[4,5,2,1,3,6]=>2
[4,5,2,1,6,3,7]=>[4,5,2,1,6,3]=>2
[4,5,2,1,6,7,3]=>[4,5,2,1,6,3]=>2
[4,5,2,1,7,3,6]=>[4,5,2,1,3,6]=>2
[4,5,2,1,7,6,3]=>[4,5,2,1,6,3]=>2
[4,5,2,3,1,6,7]=>[4,5,2,3,1,6]=>3
[4,5,2,3,1,7,6]=>[4,5,2,3,1,6]=>3
[4,5,2,3,6,1,7]=>[4,5,2,3,6,1]=>3
[4,5,2,3,6,7,1]=>[4,5,2,3,6,1]=>3
[4,5,2,3,7,1,6]=>[4,5,2,3,1,6]=>3
[4,5,2,3,7,6,1]=>[4,5,2,3,6,1]=>3
[4,5,2,6,1,3,7]=>[4,5,2,6,1,3]=>3
[4,5,2,6,1,7,3]=>[4,5,2,6,1,3]=>3
[4,5,2,6,3,1,7]=>[4,5,2,6,3,1]=>3
[4,5,2,6,3,7,1]=>[4,5,2,6,3,1]=>3
[4,5,2,6,7,1,3]=>[4,5,2,6,1,3]=>3
[4,5,2,6,7,3,1]=>[4,5,2,6,3,1]=>3
[4,5,2,7,1,3,6]=>[4,5,2,1,3,6]=>2
[4,5,2,7,1,6,3]=>[4,5,2,1,6,3]=>2
[4,5,2,7,3,1,6]=>[4,5,2,3,1,6]=>3
[4,5,2,7,3,6,1]=>[4,5,2,3,6,1]=>3
[4,5,2,7,6,1,3]=>[4,5,2,6,1,3]=>3
[4,5,2,7,6,3,1]=>[4,5,2,6,3,1]=>3
[4,5,3,1,2,6,7]=>[4,5,3,1,2,6]=>2
[4,5,3,1,2,7,6]=>[4,5,3,1,2,6]=>2
[4,5,3,1,6,2,7]=>[4,5,3,1,6,2]=>2
[4,5,3,1,6,7,2]=>[4,5,3,1,6,2]=>2
[4,5,3,1,7,2,6]=>[4,5,3,1,2,6]=>2
[4,5,3,1,7,6,2]=>[4,5,3,1,6,2]=>2
[4,5,3,2,1,6,7]=>[4,5,3,2,1,6]=>1
[4,5,3,2,1,7,6]=>[4,5,3,2,1,6]=>1
[4,5,3,2,6,1,7]=>[4,5,3,2,6,1]=>1
[4,5,3,2,6,7,1]=>[4,5,3,2,6,1]=>1
[4,5,3,2,7,1,6]=>[4,5,3,2,1,6]=>1
[4,5,3,2,7,6,1]=>[4,5,3,2,6,1]=>1
[4,5,3,6,1,2,7]=>[4,5,3,6,1,2]=>3
[4,5,3,6,1,7,2]=>[4,5,3,6,1,2]=>3
[4,5,3,6,2,1,7]=>[4,5,3,6,2,1]=>1
[4,5,3,6,2,7,1]=>[4,5,3,6,2,1]=>1
[4,5,3,6,7,1,2]=>[4,5,3,6,1,2]=>3
[4,5,3,6,7,2,1]=>[4,5,3,6,2,1]=>1
[4,5,3,7,1,2,6]=>[4,5,3,1,2,6]=>2
[4,5,3,7,1,6,2]=>[4,5,3,1,6,2]=>2
[4,5,3,7,2,1,6]=>[4,5,3,2,1,6]=>1
[4,5,3,7,2,6,1]=>[4,5,3,2,6,1]=>1
[4,5,3,7,6,1,2]=>[4,5,3,6,1,2]=>3
[4,5,3,7,6,2,1]=>[4,5,3,6,2,1]=>1
[4,5,6,1,2,3,7]=>[4,5,6,1,2,3]=>10
[4,5,6,1,2,7,3]=>[4,5,6,1,2,3]=>10
[4,5,6,1,3,2,7]=>[4,5,6,1,3,2]=>4
[4,5,6,1,3,7,2]=>[4,5,6,1,3,2]=>4
[4,5,6,1,7,2,3]=>[4,5,6,1,2,3]=>10
[4,5,6,1,7,3,2]=>[4,5,6,1,3,2]=>4
[4,5,6,2,1,3,7]=>[4,5,6,2,1,3]=>4
[4,5,6,2,1,7,3]=>[4,5,6,2,1,3]=>4
[4,5,6,2,3,1,7]=>[4,5,6,2,3,1]=>6
[4,5,6,2,3,7,1]=>[4,5,6,2,3,1]=>6
[4,5,6,2,7,1,3]=>[4,5,6,2,1,3]=>4
[4,5,6,2,7,3,1]=>[4,5,6,2,3,1]=>6
[4,5,6,3,1,2,7]=>[4,5,6,3,1,2]=>3
[4,5,6,3,1,7,2]=>[4,5,6,3,1,2]=>3
[4,5,6,3,2,1,7]=>[4,5,6,3,2,1]=>1
[4,5,6,3,2,7,1]=>[4,5,6,3,2,1]=>1
[4,5,6,3,7,1,2]=>[4,5,6,3,1,2]=>3
[4,5,6,3,7,2,1]=>[4,5,6,3,2,1]=>1
[4,5,6,7,1,2,3]=>[4,5,6,1,2,3]=>10
[4,5,6,7,1,3,2]=>[4,5,6,1,3,2]=>4
[4,5,6,7,2,1,3]=>[4,5,6,2,1,3]=>4
[4,5,6,7,2,3,1]=>[4,5,6,2,3,1]=>6
[4,5,6,7,3,1,2]=>[4,5,6,3,1,2]=>3
[4,5,6,7,3,2,1]=>[4,5,6,3,2,1]=>1
[4,5,7,1,2,3,6]=>[4,5,1,2,3,6]=>3
[4,5,7,1,2,6,3]=>[4,5,1,2,6,3]=>3
[4,5,7,1,3,2,6]=>[4,5,1,3,2,6]=>2
[4,5,7,1,3,6,2]=>[4,5,1,3,6,2]=>2
[4,5,7,1,6,2,3]=>[4,5,1,6,2,3]=>5
[4,5,7,1,6,3,2]=>[4,5,1,6,3,2]=>2
[4,5,7,2,1,3,6]=>[4,5,2,1,3,6]=>2
[4,5,7,2,1,6,3]=>[4,5,2,1,6,3]=>2
[4,5,7,2,3,1,6]=>[4,5,2,3,1,6]=>3
[4,5,7,2,3,6,1]=>[4,5,2,3,6,1]=>3
[4,5,7,2,6,1,3]=>[4,5,2,6,1,3]=>3
[4,5,7,2,6,3,1]=>[4,5,2,6,3,1]=>3
[4,5,7,3,1,2,6]=>[4,5,3,1,2,6]=>2
[4,5,7,3,1,6,2]=>[4,5,3,1,6,2]=>2
[4,5,7,3,2,1,6]=>[4,5,3,2,1,6]=>1
[4,5,7,3,2,6,1]=>[4,5,3,2,6,1]=>1
[4,5,7,3,6,1,2]=>[4,5,3,6,1,2]=>3
[4,5,7,3,6,2,1]=>[4,5,3,6,2,1]=>1
[4,5,7,6,1,2,3]=>[4,5,6,1,2,3]=>10
[4,5,7,6,1,3,2]=>[4,5,6,1,3,2]=>4
[4,5,7,6,2,1,3]=>[4,5,6,2,1,3]=>4
[4,5,7,6,2,3,1]=>[4,5,6,2,3,1]=>6
[4,5,7,6,3,1,2]=>[4,5,6,3,1,2]=>3
[4,5,7,6,3,2,1]=>[4,5,6,3,2,1]=>1
[4,6,1,2,3,5,7]=>[4,6,1,2,3,5]=>3
[4,6,1,2,3,7,5]=>[4,6,1,2,3,5]=>3
[4,6,1,2,5,3,7]=>[4,6,1,2,5,3]=>3
[4,6,1,2,5,7,3]=>[4,6,1,2,5,3]=>3
[4,6,1,2,7,3,5]=>[4,6,1,2,3,5]=>3
[4,6,1,2,7,5,3]=>[4,6,1,2,5,3]=>3
[4,6,1,3,2,5,7]=>[4,6,1,3,2,5]=>2
[4,6,1,3,2,7,5]=>[4,6,1,3,2,5]=>2
[4,6,1,3,5,2,7]=>[4,6,1,3,5,2]=>4
[4,6,1,3,5,7,2]=>[4,6,1,3,5,2]=>4
[4,6,1,3,7,2,5]=>[4,6,1,3,2,5]=>2
[4,6,1,3,7,5,2]=>[4,6,1,3,5,2]=>4
[4,6,1,5,2,3,7]=>[4,6,1,5,2,3]=>3
[4,6,1,5,2,7,3]=>[4,6,1,5,2,3]=>3
[4,6,1,5,3,2,7]=>[4,6,1,5,3,2]=>2
[4,6,1,5,3,7,2]=>[4,6,1,5,3,2]=>2
[4,6,1,5,7,2,3]=>[4,6,1,5,2,3]=>3
[4,6,1,5,7,3,2]=>[4,6,1,5,3,2]=>2
[4,6,1,7,2,3,5]=>[4,6,1,2,3,5]=>3
[4,6,1,7,2,5,3]=>[4,6,1,2,5,3]=>3
[4,6,1,7,3,2,5]=>[4,6,1,3,2,5]=>2
[4,6,1,7,3,5,2]=>[4,6,1,3,5,2]=>4
[4,6,1,7,5,2,3]=>[4,6,1,5,2,3]=>3
[4,6,1,7,5,3,2]=>[4,6,1,5,3,2]=>2
[4,6,2,1,3,5,7]=>[4,6,2,1,3,5]=>2
[4,6,2,1,3,7,5]=>[4,6,2,1,3,5]=>2
[4,6,2,1,5,3,7]=>[4,6,2,1,5,3]=>2
[4,6,2,1,5,7,3]=>[4,6,2,1,5,3]=>2
[4,6,2,1,7,3,5]=>[4,6,2,1,3,5]=>2
[4,6,2,1,7,5,3]=>[4,6,2,1,5,3]=>2
[4,6,2,3,1,5,7]=>[4,6,2,3,1,5]=>3
[4,6,2,3,1,7,5]=>[4,6,2,3,1,5]=>3
[4,6,2,3,5,1,7]=>[4,6,2,3,5,1]=>6
[4,6,2,3,5,7,1]=>[4,6,2,3,5,1]=>6
[4,6,2,3,7,1,5]=>[4,6,2,3,1,5]=>3
[4,6,2,3,7,5,1]=>[4,6,2,3,5,1]=>6
[4,6,2,5,1,3,7]=>[4,6,2,5,1,3]=>3
[4,6,2,5,1,7,3]=>[4,6,2,5,1,3]=>3
[4,6,2,5,3,1,7]=>[4,6,2,5,3,1]=>3
[4,6,2,5,3,7,1]=>[4,6,2,5,3,1]=>3
[4,6,2,5,7,1,3]=>[4,6,2,5,1,3]=>3
[4,6,2,5,7,3,1]=>[4,6,2,5,3,1]=>3
[4,6,2,7,1,3,5]=>[4,6,2,1,3,5]=>2
[4,6,2,7,1,5,3]=>[4,6,2,1,5,3]=>2
[4,6,2,7,3,1,5]=>[4,6,2,3,1,5]=>3
[4,6,2,7,3,5,1]=>[4,6,2,3,5,1]=>6
[4,6,2,7,5,1,3]=>[4,6,2,5,1,3]=>3
[4,6,2,7,5,3,1]=>[4,6,2,5,3,1]=>3
[4,6,3,1,2,5,7]=>[4,6,3,1,2,5]=>2
[4,6,3,1,2,7,5]=>[4,6,3,1,2,5]=>2
[4,6,3,1,5,2,7]=>[4,6,3,1,5,2]=>3
[4,6,3,1,5,7,2]=>[4,6,3,1,5,2]=>3
[4,6,3,1,7,2,5]=>[4,6,3,1,2,5]=>2
[4,6,3,1,7,5,2]=>[4,6,3,1,5,2]=>3
[4,6,3,2,1,5,7]=>[4,6,3,2,1,5]=>1
[4,6,3,2,1,7,5]=>[4,6,3,2,1,5]=>1
[4,6,3,2,5,1,7]=>[4,6,3,2,5,1]=>2
[4,6,3,2,5,7,1]=>[4,6,3,2,5,1]=>2
[4,6,3,2,7,1,5]=>[4,6,3,2,1,5]=>1
[4,6,3,2,7,5,1]=>[4,6,3,2,5,1]=>2
[4,6,3,5,1,2,7]=>[4,6,3,5,1,2]=>4
[4,6,3,5,1,7,2]=>[4,6,3,5,1,2]=>4
[4,6,3,5,2,1,7]=>[4,6,3,5,2,1]=>2
[4,6,3,5,2,7,1]=>[4,6,3,5,2,1]=>2
[4,6,3,5,7,1,2]=>[4,6,3,5,1,2]=>4
[4,6,3,5,7,2,1]=>[4,6,3,5,2,1]=>2
[4,6,3,7,1,2,5]=>[4,6,3,1,2,5]=>2
[4,6,3,7,1,5,2]=>[4,6,3,1,5,2]=>3
[4,6,3,7,2,1,5]=>[4,6,3,2,1,5]=>1
[4,6,3,7,2,5,1]=>[4,6,3,2,5,1]=>2
[4,6,3,7,5,1,2]=>[4,6,3,5,1,2]=>4
[4,6,3,7,5,2,1]=>[4,6,3,5,2,1]=>2
[4,6,5,1,2,3,7]=>[4,6,5,1,2,3]=>4
[4,6,5,1,2,7,3]=>[4,6,5,1,2,3]=>4
[4,6,5,1,3,2,7]=>[4,6,5,1,3,2]=>3
[4,6,5,1,3,7,2]=>[4,6,5,1,3,2]=>3
[4,6,5,1,7,2,3]=>[4,6,5,1,2,3]=>4
[4,6,5,1,7,3,2]=>[4,6,5,1,3,2]=>3
[4,6,5,2,1,3,7]=>[4,6,5,2,1,3]=>2
[4,6,5,2,1,7,3]=>[4,6,5,2,1,3]=>2
[4,6,5,2,3,1,7]=>[4,6,5,2,3,1]=>4
[4,6,5,2,3,7,1]=>[4,6,5,2,3,1]=>4
[4,6,5,2,7,1,3]=>[4,6,5,2,1,3]=>2
[4,6,5,2,7,3,1]=>[4,6,5,2,3,1]=>4
[4,6,5,3,1,2,7]=>[4,6,5,3,1,2]=>2
[4,6,5,3,1,7,2]=>[4,6,5,3,1,2]=>2
[4,6,5,3,2,1,7]=>[4,6,5,3,2,1]=>1
[4,6,5,3,2,7,1]=>[4,6,5,3,2,1]=>1
[4,6,5,3,7,1,2]=>[4,6,5,3,1,2]=>2
[4,6,5,3,7,2,1]=>[4,6,5,3,2,1]=>1
[4,6,5,7,1,2,3]=>[4,6,5,1,2,3]=>4
[4,6,5,7,1,3,2]=>[4,6,5,1,3,2]=>3
[4,6,5,7,2,1,3]=>[4,6,5,2,1,3]=>2
[4,6,5,7,2,3,1]=>[4,6,5,2,3,1]=>4
[4,6,5,7,3,1,2]=>[4,6,5,3,1,2]=>2
[4,6,5,7,3,2,1]=>[4,6,5,3,2,1]=>1
[4,6,7,1,2,3,5]=>[4,6,1,2,3,5]=>3
[4,6,7,1,2,5,3]=>[4,6,1,2,5,3]=>3
[4,6,7,1,3,2,5]=>[4,6,1,3,2,5]=>2
[4,6,7,1,3,5,2]=>[4,6,1,3,5,2]=>4
[4,6,7,1,5,2,3]=>[4,6,1,5,2,3]=>3
[4,6,7,1,5,3,2]=>[4,6,1,5,3,2]=>2
[4,6,7,2,1,3,5]=>[4,6,2,1,3,5]=>2
[4,6,7,2,1,5,3]=>[4,6,2,1,5,3]=>2
[4,6,7,2,3,1,5]=>[4,6,2,3,1,5]=>3
[4,6,7,2,3,5,1]=>[4,6,2,3,5,1]=>6
[4,6,7,2,5,1,3]=>[4,6,2,5,1,3]=>3
[4,6,7,2,5,3,1]=>[4,6,2,5,3,1]=>3
[4,6,7,3,1,2,5]=>[4,6,3,1,2,5]=>2
[4,6,7,3,1,5,2]=>[4,6,3,1,5,2]=>3
[4,6,7,3,2,1,5]=>[4,6,3,2,1,5]=>1
[4,6,7,3,2,5,1]=>[4,6,3,2,5,1]=>2
[4,6,7,3,5,1,2]=>[4,6,3,5,1,2]=>4
[4,6,7,3,5,2,1]=>[4,6,3,5,2,1]=>2
[4,6,7,5,1,2,3]=>[4,6,5,1,2,3]=>4
[4,6,7,5,1,3,2]=>[4,6,5,1,3,2]=>3
[4,6,7,5,2,1,3]=>[4,6,5,2,1,3]=>2
[4,6,7,5,2,3,1]=>[4,6,5,2,3,1]=>4
[4,6,7,5,3,1,2]=>[4,6,5,3,1,2]=>2
[4,6,7,5,3,2,1]=>[4,6,5,3,2,1]=>1
[4,7,1,2,3,5,6]=>[4,1,2,3,5,6]=>1
[4,7,1,2,3,6,5]=>[4,1,2,3,6,5]=>1
[4,7,1,2,5,3,6]=>[4,1,2,5,3,6]=>1
[4,7,1,2,5,6,3]=>[4,1,2,5,6,3]=>1
[4,7,1,2,6,3,5]=>[4,1,2,6,3,5]=>1
[4,7,1,2,6,5,3]=>[4,1,2,6,5,3]=>1
[4,7,1,3,2,5,6]=>[4,1,3,2,5,6]=>1
[4,7,1,3,2,6,5]=>[4,1,3,2,6,5]=>1
[4,7,1,3,5,2,6]=>[4,1,3,5,2,6]=>1
[4,7,1,3,5,6,2]=>[4,1,3,5,6,2]=>1
[4,7,1,3,6,2,5]=>[4,1,3,6,2,5]=>1
[4,7,1,3,6,5,2]=>[4,1,3,6,5,2]=>1
[4,7,1,5,2,3,6]=>[4,1,5,2,3,6]=>2
[4,7,1,5,2,6,3]=>[4,1,5,2,6,3]=>2
[4,7,1,5,3,2,6]=>[4,1,5,3,2,6]=>1
[4,7,1,5,3,6,2]=>[4,1,5,3,6,2]=>1
[4,7,1,5,6,2,3]=>[4,1,5,6,2,3]=>3
[4,7,1,5,6,3,2]=>[4,1,5,6,3,2]=>1
[4,7,1,6,2,3,5]=>[4,1,6,2,3,5]=>2
[4,7,1,6,2,5,3]=>[4,1,6,2,5,3]=>2
[4,7,1,6,3,2,5]=>[4,1,6,3,2,5]=>1
[4,7,1,6,3,5,2]=>[4,1,6,3,5,2]=>2
[4,7,1,6,5,2,3]=>[4,1,6,5,2,3]=>2
[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>1
[4,7,2,1,3,5,6]=>[4,2,1,3,5,6]=>1
[4,7,2,1,3,6,5]=>[4,2,1,3,6,5]=>1
[4,7,2,1,5,3,6]=>[4,2,1,5,3,6]=>1
[4,7,2,1,5,6,3]=>[4,2,1,5,6,3]=>1
[4,7,2,1,6,3,5]=>[4,2,1,6,3,5]=>1
[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>1
[4,7,2,3,1,5,6]=>[4,2,3,1,5,6]=>2
[4,7,2,3,1,6,5]=>[4,2,3,1,6,5]=>2
[4,7,2,3,5,1,6]=>[4,2,3,5,1,6]=>2
[4,7,2,3,5,6,1]=>[4,2,3,5,6,1]=>2
[4,7,2,3,6,1,5]=>[4,2,3,6,1,5]=>2
[4,7,2,3,6,5,1]=>[4,2,3,6,5,1]=>2
[4,7,2,5,1,3,6]=>[4,2,5,1,3,6]=>2
[4,7,2,5,1,6,3]=>[4,2,5,1,6,3]=>2
[4,7,2,5,3,1,6]=>[4,2,5,3,1,6]=>2
[4,7,2,5,3,6,1]=>[4,2,5,3,6,1]=>2
[4,7,2,5,6,1,3]=>[4,2,5,6,1,3]=>3
[4,7,2,5,6,3,1]=>[4,2,5,6,3,1]=>2
[4,7,2,6,1,3,5]=>[4,2,6,1,3,5]=>2
[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>2
[4,7,2,6,3,1,5]=>[4,2,6,3,1,5]=>2
[4,7,2,6,3,5,1]=>[4,2,6,3,5,1]=>4
[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>2
[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>2
[4,7,3,1,2,5,6]=>[4,3,1,2,5,6]=>1
[4,7,3,1,2,6,5]=>[4,3,1,2,6,5]=>1
[4,7,3,1,5,2,6]=>[4,3,1,5,2,6]=>1
[4,7,3,1,5,6,2]=>[4,3,1,5,6,2]=>1
[4,7,3,1,6,2,5]=>[4,3,1,6,2,5]=>1
[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>1
[4,7,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>1
[4,7,3,2,5,1,6]=>[4,3,2,5,1,6]=>1
[4,7,3,2,5,6,1]=>[4,3,2,5,6,1]=>1
[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>1
[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>1
[4,7,3,5,1,2,6]=>[4,3,5,1,2,6]=>2
[4,7,3,5,1,6,2]=>[4,3,5,1,6,2]=>2
[4,7,3,5,2,1,6]=>[4,3,5,2,1,6]=>1
[4,7,3,5,2,6,1]=>[4,3,5,2,6,1]=>1
[4,7,3,5,6,1,2]=>[4,3,5,6,1,2]=>3
[4,7,3,5,6,2,1]=>[4,3,5,6,2,1]=>1
[4,7,3,6,1,2,5]=>[4,3,6,1,2,5]=>2
[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>2
[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>1
[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>2
[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>2
[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>1
[4,7,5,1,2,3,6]=>[4,5,1,2,3,6]=>3
[4,7,5,1,2,6,3]=>[4,5,1,2,6,3]=>3
[4,7,5,1,3,2,6]=>[4,5,1,3,2,6]=>2
[4,7,5,1,3,6,2]=>[4,5,1,3,6,2]=>2
[4,7,5,1,6,2,3]=>[4,5,1,6,2,3]=>5
[4,7,5,1,6,3,2]=>[4,5,1,6,3,2]=>2
[4,7,5,2,1,3,6]=>[4,5,2,1,3,6]=>2
[4,7,5,2,1,6,3]=>[4,5,2,1,6,3]=>2
[4,7,5,2,3,1,6]=>[4,5,2,3,1,6]=>3
[4,7,5,2,3,6,1]=>[4,5,2,3,6,1]=>3
[4,7,5,2,6,1,3]=>[4,5,2,6,1,3]=>3
[4,7,5,2,6,3,1]=>[4,5,2,6,3,1]=>3
[4,7,5,3,1,2,6]=>[4,5,3,1,2,6]=>2
[4,7,5,3,1,6,2]=>[4,5,3,1,6,2]=>2
[4,7,5,3,2,1,6]=>[4,5,3,2,1,6]=>1
[4,7,5,3,2,6,1]=>[4,5,3,2,6,1]=>1
[4,7,5,3,6,1,2]=>[4,5,3,6,1,2]=>3
[4,7,5,3,6,2,1]=>[4,5,3,6,2,1]=>1
[4,7,5,6,1,2,3]=>[4,5,6,1,2,3]=>10
[4,7,5,6,1,3,2]=>[4,5,6,1,3,2]=>4
[4,7,5,6,2,1,3]=>[4,5,6,2,1,3]=>4
[4,7,5,6,2,3,1]=>[4,5,6,2,3,1]=>6
[4,7,5,6,3,1,2]=>[4,5,6,3,1,2]=>3
[4,7,5,6,3,2,1]=>[4,5,6,3,2,1]=>1
[4,7,6,1,2,3,5]=>[4,6,1,2,3,5]=>3
[4,7,6,1,2,5,3]=>[4,6,1,2,5,3]=>3
[4,7,6,1,3,2,5]=>[4,6,1,3,2,5]=>2
[4,7,6,1,3,5,2]=>[4,6,1,3,5,2]=>4
[4,7,6,1,5,2,3]=>[4,6,1,5,2,3]=>3
[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>2
[4,7,6,2,1,3,5]=>[4,6,2,1,3,5]=>2
[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>2
[4,7,6,2,3,1,5]=>[4,6,2,3,1,5]=>3
[4,7,6,2,3,5,1]=>[4,6,2,3,5,1]=>6
[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>3
[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>3
[4,7,6,3,1,2,5]=>[4,6,3,1,2,5]=>2
[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>3
[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>1
[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>2
[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>4
[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>2
[4,7,6,5,1,2,3]=>[4,6,5,1,2,3]=>4
[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>3
[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>2
[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>4
[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>2
[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>1
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6]=>1
[5,1,2,3,4,7,6]=>[5,1,2,3,4,6]=>1
[5,1,2,3,6,4,7]=>[5,1,2,3,6,4]=>1
[5,1,2,3,6,7,4]=>[5,1,2,3,6,4]=>1
[5,1,2,3,7,4,6]=>[5,1,2,3,4,6]=>1
[5,1,2,3,7,6,4]=>[5,1,2,3,6,4]=>1
[5,1,2,4,3,6,7]=>[5,1,2,4,3,6]=>1
[5,1,2,4,3,7,6]=>[5,1,2,4,3,6]=>1
[5,1,2,4,6,3,7]=>[5,1,2,4,6,3]=>1
[5,1,2,4,6,7,3]=>[5,1,2,4,6,3]=>1
[5,1,2,4,7,3,6]=>[5,1,2,4,3,6]=>1
[5,1,2,4,7,6,3]=>[5,1,2,4,6,3]=>1
[5,1,2,6,3,4,7]=>[5,1,2,6,3,4]=>2
[5,1,2,6,3,7,4]=>[5,1,2,6,3,4]=>2
[5,1,2,6,4,3,7]=>[5,1,2,6,4,3]=>1
[5,1,2,6,4,7,3]=>[5,1,2,6,4,3]=>1
[5,1,2,6,7,3,4]=>[5,1,2,6,3,4]=>2
[5,1,2,6,7,4,3]=>[5,1,2,6,4,3]=>1
[5,1,2,7,3,4,6]=>[5,1,2,3,4,6]=>1
[5,1,2,7,3,6,4]=>[5,1,2,3,6,4]=>1
[5,1,2,7,4,3,6]=>[5,1,2,4,3,6]=>1
[5,1,2,7,4,6,3]=>[5,1,2,4,6,3]=>1
[5,1,2,7,6,3,4]=>[5,1,2,6,3,4]=>2
[5,1,2,7,6,4,3]=>[5,1,2,6,4,3]=>1
[5,1,3,2,4,6,7]=>[5,1,3,2,4,6]=>1
[5,1,3,2,4,7,6]=>[5,1,3,2,4,6]=>1
[5,1,3,2,6,4,7]=>[5,1,3,2,6,4]=>1
[5,1,3,2,6,7,4]=>[5,1,3,2,6,4]=>1
[5,1,3,2,7,4,6]=>[5,1,3,2,4,6]=>1
[5,1,3,2,7,6,4]=>[5,1,3,2,6,4]=>1
[5,1,3,4,2,6,7]=>[5,1,3,4,2,6]=>2
[5,1,3,4,2,7,6]=>[5,1,3,4,2,6]=>2
[5,1,3,4,6,2,7]=>[5,1,3,4,6,2]=>2
[5,1,3,4,6,7,2]=>[5,1,3,4,6,2]=>2
[5,1,3,4,7,2,6]=>[5,1,3,4,2,6]=>2
[5,1,3,4,7,6,2]=>[5,1,3,4,6,2]=>2
[5,1,3,6,2,4,7]=>[5,1,3,6,2,4]=>2
[5,1,3,6,2,7,4]=>[5,1,3,6,2,4]=>2
[5,1,3,6,4,2,7]=>[5,1,3,6,4,2]=>2
[5,1,3,6,4,7,2]=>[5,1,3,6,4,2]=>2
[5,1,3,6,7,2,4]=>[5,1,3,6,2,4]=>2
[5,1,3,6,7,4,2]=>[5,1,3,6,4,2]=>2
[5,1,3,7,2,4,6]=>[5,1,3,2,4,6]=>1
[5,1,3,7,2,6,4]=>[5,1,3,2,6,4]=>1
[5,1,3,7,4,2,6]=>[5,1,3,4,2,6]=>2
[5,1,3,7,4,6,2]=>[5,1,3,4,6,2]=>2
[5,1,3,7,6,2,4]=>[5,1,3,6,2,4]=>2
[5,1,3,7,6,4,2]=>[5,1,3,6,4,2]=>2
[5,1,4,2,3,6,7]=>[5,1,4,2,3,6]=>1
[5,1,4,2,3,7,6]=>[5,1,4,2,3,6]=>1
[5,1,4,2,6,3,7]=>[5,1,4,2,6,3]=>1
[5,1,4,2,6,7,3]=>[5,1,4,2,6,3]=>1
[5,1,4,2,7,3,6]=>[5,1,4,2,3,6]=>1
[5,1,4,2,7,6,3]=>[5,1,4,2,6,3]=>1
[5,1,4,3,2,6,7]=>[5,1,4,3,2,6]=>1
[5,1,4,3,2,7,6]=>[5,1,4,3,2,6]=>1
[5,1,4,3,6,2,7]=>[5,1,4,3,6,2]=>1
[5,1,4,3,6,7,2]=>[5,1,4,3,6,2]=>1
[5,1,4,3,7,2,6]=>[5,1,4,3,2,6]=>1
[5,1,4,3,7,6,2]=>[5,1,4,3,6,2]=>1
[5,1,4,6,2,3,7]=>[5,1,4,6,2,3]=>2
[5,1,4,6,2,7,3]=>[5,1,4,6,2,3]=>2
[5,1,4,6,3,2,7]=>[5,1,4,6,3,2]=>1
[5,1,4,6,3,7,2]=>[5,1,4,6,3,2]=>1
[5,1,4,6,7,2,3]=>[5,1,4,6,2,3]=>2
[5,1,4,6,7,3,2]=>[5,1,4,6,3,2]=>1
[5,1,4,7,2,3,6]=>[5,1,4,2,3,6]=>1
[5,1,4,7,2,6,3]=>[5,1,4,2,6,3]=>1
[5,1,4,7,3,2,6]=>[5,1,4,3,2,6]=>1
[5,1,4,7,3,6,2]=>[5,1,4,3,6,2]=>1
[5,1,4,7,6,2,3]=>[5,1,4,6,2,3]=>2
[5,1,4,7,6,3,2]=>[5,1,4,6,3,2]=>1
[5,1,6,2,3,4,7]=>[5,1,6,2,3,4]=>3
[5,1,6,2,3,7,4]=>[5,1,6,2,3,4]=>3
[5,1,6,2,4,3,7]=>[5,1,6,2,4,3]=>2
[5,1,6,2,4,7,3]=>[5,1,6,2,4,3]=>2
[5,1,6,2,7,3,4]=>[5,1,6,2,3,4]=>3
[5,1,6,2,7,4,3]=>[5,1,6,2,4,3]=>2
[5,1,6,3,2,4,7]=>[5,1,6,3,2,4]=>2
[5,1,6,3,2,7,4]=>[5,1,6,3,2,4]=>2
[5,1,6,3,4,2,7]=>[5,1,6,3,4,2]=>3
[5,1,6,3,4,7,2]=>[5,1,6,3,4,2]=>3
[5,1,6,3,7,2,4]=>[5,1,6,3,2,4]=>2
[5,1,6,3,7,4,2]=>[5,1,6,3,4,2]=>3
[5,1,6,4,2,3,7]=>[5,1,6,4,2,3]=>2
[5,1,6,4,2,7,3]=>[5,1,6,4,2,3]=>2
[5,1,6,4,3,2,7]=>[5,1,6,4,3,2]=>1
[5,1,6,4,3,7,2]=>[5,1,6,4,3,2]=>1
[5,1,6,4,7,2,3]=>[5,1,6,4,2,3]=>2
[5,1,6,4,7,3,2]=>[5,1,6,4,3,2]=>1
[5,1,6,7,2,3,4]=>[5,1,6,2,3,4]=>3
[5,1,6,7,2,4,3]=>[5,1,6,2,4,3]=>2
[5,1,6,7,3,2,4]=>[5,1,6,3,2,4]=>2
[5,1,6,7,3,4,2]=>[5,1,6,3,4,2]=>3
[5,1,6,7,4,2,3]=>[5,1,6,4,2,3]=>2
[5,1,6,7,4,3,2]=>[5,1,6,4,3,2]=>1
[5,1,7,2,3,4,6]=>[5,1,2,3,4,6]=>1
[5,1,7,2,3,6,4]=>[5,1,2,3,6,4]=>1
[5,1,7,2,4,3,6]=>[5,1,2,4,3,6]=>1
[5,1,7,2,4,6,3]=>[5,1,2,4,6,3]=>1
[5,1,7,2,6,3,4]=>[5,1,2,6,3,4]=>2
[5,1,7,2,6,4,3]=>[5,1,2,6,4,3]=>1
[5,1,7,3,2,4,6]=>[5,1,3,2,4,6]=>1
[5,1,7,3,2,6,4]=>[5,1,3,2,6,4]=>1
[5,1,7,3,4,2,6]=>[5,1,3,4,2,6]=>2
[5,1,7,3,4,6,2]=>[5,1,3,4,6,2]=>2
[5,1,7,3,6,2,4]=>[5,1,3,6,2,4]=>2
[5,1,7,3,6,4,2]=>[5,1,3,6,4,2]=>2
[5,1,7,4,2,3,6]=>[5,1,4,2,3,6]=>1
[5,1,7,4,2,6,3]=>[5,1,4,2,6,3]=>1
[5,1,7,4,3,2,6]=>[5,1,4,3,2,6]=>1
[5,1,7,4,3,6,2]=>[5,1,4,3,6,2]=>1
[5,1,7,4,6,2,3]=>[5,1,4,6,2,3]=>2
[5,1,7,4,6,3,2]=>[5,1,4,6,3,2]=>1
[5,1,7,6,2,3,4]=>[5,1,6,2,3,4]=>3
[5,1,7,6,2,4,3]=>[5,1,6,2,4,3]=>2
[5,1,7,6,3,2,4]=>[5,1,6,3,2,4]=>2
[5,1,7,6,3,4,2]=>[5,1,6,3,4,2]=>3
[5,1,7,6,4,2,3]=>[5,1,6,4,2,3]=>2
[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>1
[5,2,1,3,4,6,7]=>[5,2,1,3,4,6]=>1
[5,2,1,3,4,7,6]=>[5,2,1,3,4,6]=>1
[5,2,1,3,6,4,7]=>[5,2,1,3,6,4]=>1
[5,2,1,3,6,7,4]=>[5,2,1,3,6,4]=>1
[5,2,1,3,7,4,6]=>[5,2,1,3,4,6]=>1
[5,2,1,3,7,6,4]=>[5,2,1,3,6,4]=>1
[5,2,1,4,3,6,7]=>[5,2,1,4,3,6]=>1
[5,2,1,4,3,7,6]=>[5,2,1,4,3,6]=>1
[5,2,1,4,6,3,7]=>[5,2,1,4,6,3]=>1
[5,2,1,4,6,7,3]=>[5,2,1,4,6,3]=>1
[5,2,1,4,7,3,6]=>[5,2,1,4,3,6]=>1
[5,2,1,4,7,6,3]=>[5,2,1,4,6,3]=>1
[5,2,1,6,3,4,7]=>[5,2,1,6,3,4]=>2
[5,2,1,6,3,7,4]=>[5,2,1,6,3,4]=>2
[5,2,1,6,4,3,7]=>[5,2,1,6,4,3]=>1
[5,2,1,6,4,7,3]=>[5,2,1,6,4,3]=>1
[5,2,1,6,7,3,4]=>[5,2,1,6,3,4]=>2
[5,2,1,6,7,4,3]=>[5,2,1,6,4,3]=>1
[5,2,1,7,3,4,6]=>[5,2,1,3,4,6]=>1
[5,2,1,7,3,6,4]=>[5,2,1,3,6,4]=>1
[5,2,1,7,4,3,6]=>[5,2,1,4,3,6]=>1
[5,2,1,7,4,6,3]=>[5,2,1,4,6,3]=>1
[5,2,1,7,6,3,4]=>[5,2,1,6,3,4]=>2
[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>1
[5,2,3,1,4,6,7]=>[5,2,3,1,4,6]=>2
[5,2,3,1,4,7,6]=>[5,2,3,1,4,6]=>2
[5,2,3,1,6,4,7]=>[5,2,3,1,6,4]=>2
[5,2,3,1,6,7,4]=>[5,2,3,1,6,4]=>2
[5,2,3,1,7,4,6]=>[5,2,3,1,4,6]=>2
[5,2,3,1,7,6,4]=>[5,2,3,1,6,4]=>2
[5,2,3,4,1,6,7]=>[5,2,3,4,1,6]=>4
[5,2,3,4,1,7,6]=>[5,2,3,4,1,6]=>4
[5,2,3,4,6,1,7]=>[5,2,3,4,6,1]=>4
[5,2,3,4,6,7,1]=>[5,2,3,4,6,1]=>4
[5,2,3,4,7,1,6]=>[5,2,3,4,1,6]=>4
[5,2,3,4,7,6,1]=>[5,2,3,4,6,1]=>4
[5,2,3,6,1,4,7]=>[5,2,3,6,1,4]=>4
[5,2,3,6,1,7,4]=>[5,2,3,6,1,4]=>4
[5,2,3,6,4,1,7]=>[5,2,3,6,4,1]=>4
[5,2,3,6,4,7,1]=>[5,2,3,6,4,1]=>4
[5,2,3,6,7,1,4]=>[5,2,3,6,1,4]=>4
[5,2,3,6,7,4,1]=>[5,2,3,6,4,1]=>4
[5,2,3,7,1,4,6]=>[5,2,3,1,4,6]=>2
[5,2,3,7,1,6,4]=>[5,2,3,1,6,4]=>2
[5,2,3,7,4,1,6]=>[5,2,3,4,1,6]=>4
[5,2,3,7,4,6,1]=>[5,2,3,4,6,1]=>4
[5,2,3,7,6,1,4]=>[5,2,3,6,1,4]=>4
[5,2,3,7,6,4,1]=>[5,2,3,6,4,1]=>4
[5,2,4,1,3,6,7]=>[5,2,4,1,3,6]=>2
[5,2,4,1,3,7,6]=>[5,2,4,1,3,6]=>2
[5,2,4,1,6,3,7]=>[5,2,4,1,6,3]=>2
[5,2,4,1,6,7,3]=>[5,2,4,1,6,3]=>2
[5,2,4,1,7,3,6]=>[5,2,4,1,3,6]=>2
[5,2,4,1,7,6,3]=>[5,2,4,1,6,3]=>2
[5,2,4,3,1,6,7]=>[5,2,4,3,1,6]=>2
[5,2,4,3,1,7,6]=>[5,2,4,3,1,6]=>2
[5,2,4,3,6,1,7]=>[5,2,4,3,6,1]=>2
[5,2,4,3,6,7,1]=>[5,2,4,3,6,1]=>2
[5,2,4,3,7,1,6]=>[5,2,4,3,1,6]=>2
[5,2,4,3,7,6,1]=>[5,2,4,3,6,1]=>2
[5,2,4,6,1,3,7]=>[5,2,4,6,1,3]=>4
[5,2,4,6,1,7,3]=>[5,2,4,6,1,3]=>4
[5,2,4,6,3,1,7]=>[5,2,4,6,3,1]=>2
[5,2,4,6,3,7,1]=>[5,2,4,6,3,1]=>2
[5,2,4,6,7,1,3]=>[5,2,4,6,1,3]=>4
[5,2,4,6,7,3,1]=>[5,2,4,6,3,1]=>2
[5,2,4,7,1,3,6]=>[5,2,4,1,3,6]=>2
[5,2,4,7,1,6,3]=>[5,2,4,1,6,3]=>2
[5,2,4,7,3,1,6]=>[5,2,4,3,1,6]=>2
[5,2,4,7,3,6,1]=>[5,2,4,3,6,1]=>2
[5,2,4,7,6,1,3]=>[5,2,4,6,1,3]=>4
[5,2,4,7,6,3,1]=>[5,2,4,6,3,1]=>2
[5,2,6,1,3,4,7]=>[5,2,6,1,3,4]=>3
[5,2,6,1,3,7,4]=>[5,2,6,1,3,4]=>3
[5,2,6,1,4,3,7]=>[5,2,6,1,4,3]=>2
[5,2,6,1,4,7,3]=>[5,2,6,1,4,3]=>2
[5,2,6,1,7,3,4]=>[5,2,6,1,3,4]=>3
[5,2,6,1,7,4,3]=>[5,2,6,1,4,3]=>2
[5,2,6,3,1,4,7]=>[5,2,6,3,1,4]=>4
[5,2,6,3,1,7,4]=>[5,2,6,3,1,4]=>4
[5,2,6,3,4,1,7]=>[5,2,6,3,4,1]=>6
[5,2,6,3,4,7,1]=>[5,2,6,3,4,1]=>6
[5,2,6,3,7,1,4]=>[5,2,6,3,1,4]=>4
[5,2,6,3,7,4,1]=>[5,2,6,3,4,1]=>6
[5,2,6,4,1,3,7]=>[5,2,6,4,1,3]=>3
[5,2,6,4,1,7,3]=>[5,2,6,4,1,3]=>3
[5,2,6,4,3,1,7]=>[5,2,6,4,3,1]=>2
[5,2,6,4,3,7,1]=>[5,2,6,4,3,1]=>2
[5,2,6,4,7,1,3]=>[5,2,6,4,1,3]=>3
[5,2,6,4,7,3,1]=>[5,2,6,4,3,1]=>2
[5,2,6,7,1,3,4]=>[5,2,6,1,3,4]=>3
[5,2,6,7,1,4,3]=>[5,2,6,1,4,3]=>2
[5,2,6,7,3,1,4]=>[5,2,6,3,1,4]=>4
[5,2,6,7,3,4,1]=>[5,2,6,3,4,1]=>6
[5,2,6,7,4,1,3]=>[5,2,6,4,1,3]=>3
[5,2,6,7,4,3,1]=>[5,2,6,4,3,1]=>2
[5,2,7,1,3,4,6]=>[5,2,1,3,4,6]=>1
[5,2,7,1,3,6,4]=>[5,2,1,3,6,4]=>1
[5,2,7,1,4,3,6]=>[5,2,1,4,3,6]=>1
[5,2,7,1,4,6,3]=>[5,2,1,4,6,3]=>1
[5,2,7,1,6,3,4]=>[5,2,1,6,3,4]=>2
[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>1
[5,2,7,3,1,4,6]=>[5,2,3,1,4,6]=>2
[5,2,7,3,1,6,4]=>[5,2,3,1,6,4]=>2
[5,2,7,3,4,1,6]=>[5,2,3,4,1,6]=>4
[5,2,7,3,4,6,1]=>[5,2,3,4,6,1]=>4
[5,2,7,3,6,1,4]=>[5,2,3,6,1,4]=>4
[5,2,7,3,6,4,1]=>[5,2,3,6,4,1]=>4
[5,2,7,4,1,3,6]=>[5,2,4,1,3,6]=>2
[5,2,7,4,1,6,3]=>[5,2,4,1,6,3]=>2
[5,2,7,4,3,1,6]=>[5,2,4,3,1,6]=>2
[5,2,7,4,3,6,1]=>[5,2,4,3,6,1]=>2
[5,2,7,4,6,1,3]=>[5,2,4,6,1,3]=>4
[5,2,7,4,6,3,1]=>[5,2,4,6,3,1]=>2
[5,2,7,6,1,3,4]=>[5,2,6,1,3,4]=>3
[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>2
[5,2,7,6,3,1,4]=>[5,2,6,3,1,4]=>4
[5,2,7,6,3,4,1]=>[5,2,6,3,4,1]=>6
[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>3
[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>2
[5,3,1,2,4,6,7]=>[5,3,1,2,4,6]=>1
[5,3,1,2,4,7,6]=>[5,3,1,2,4,6]=>1
[5,3,1,2,6,4,7]=>[5,3,1,2,6,4]=>1
[5,3,1,2,6,7,4]=>[5,3,1,2,6,4]=>1
[5,3,1,2,7,4,6]=>[5,3,1,2,4,6]=>1
[5,3,1,2,7,6,4]=>[5,3,1,2,6,4]=>1
[5,3,1,4,2,6,7]=>[5,3,1,4,2,6]=>2
[5,3,1,4,2,7,6]=>[5,3,1,4,2,6]=>2
[5,3,1,4,6,2,7]=>[5,3,1,4,6,2]=>2
[5,3,1,4,6,7,2]=>[5,3,1,4,6,2]=>2
[5,3,1,4,7,2,6]=>[5,3,1,4,2,6]=>2
[5,3,1,4,7,6,2]=>[5,3,1,4,6,2]=>2
[5,3,1,6,2,4,7]=>[5,3,1,6,2,4]=>2
[5,3,1,6,2,7,4]=>[5,3,1,6,2,4]=>2
[5,3,1,6,4,2,7]=>[5,3,1,6,4,2]=>2
[5,3,1,6,4,7,2]=>[5,3,1,6,4,2]=>2
[5,3,1,6,7,2,4]=>[5,3,1,6,2,4]=>2
[5,3,1,6,7,4,2]=>[5,3,1,6,4,2]=>2
[5,3,1,7,2,4,6]=>[5,3,1,2,4,6]=>1
[5,3,1,7,2,6,4]=>[5,3,1,2,6,4]=>1
[5,3,1,7,4,2,6]=>[5,3,1,4,2,6]=>2
[5,3,1,7,4,6,2]=>[5,3,1,4,6,2]=>2
[5,3,1,7,6,2,4]=>[5,3,1,6,2,4]=>2
[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>2
[5,3,2,1,4,6,7]=>[5,3,2,1,4,6]=>1
[5,3,2,1,4,7,6]=>[5,3,2,1,4,6]=>1
[5,3,2,1,6,4,7]=>[5,3,2,1,6,4]=>1
[5,3,2,1,6,7,4]=>[5,3,2,1,6,4]=>1
[5,3,2,1,7,4,6]=>[5,3,2,1,4,6]=>1
[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>1
[5,3,2,4,1,6,7]=>[5,3,2,4,1,6]=>2
[5,3,2,4,1,7,6]=>[5,3,2,4,1,6]=>2
[5,3,2,4,6,1,7]=>[5,3,2,4,6,1]=>2
[5,3,2,4,6,7,1]=>[5,3,2,4,6,1]=>2
[5,3,2,4,7,1,6]=>[5,3,2,4,1,6]=>2
[5,3,2,4,7,6,1]=>[5,3,2,4,6,1]=>2
[5,3,2,6,1,4,7]=>[5,3,2,6,1,4]=>2
[5,3,2,6,1,7,4]=>[5,3,2,6,1,4]=>2
[5,3,2,6,4,1,7]=>[5,3,2,6,4,1]=>2
[5,3,2,6,4,7,1]=>[5,3,2,6,4,1]=>2
[5,3,2,6,7,1,4]=>[5,3,2,6,1,4]=>2
[5,3,2,6,7,4,1]=>[5,3,2,6,4,1]=>2
[5,3,2,7,1,4,6]=>[5,3,2,1,4,6]=>1
[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>1
[5,3,2,7,4,1,6]=>[5,3,2,4,1,6]=>2
[5,3,2,7,4,6,1]=>[5,3,2,4,6,1]=>2
[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>2
[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>2
[5,3,4,1,2,6,7]=>[5,3,4,1,2,6]=>3
[5,3,4,1,2,7,6]=>[5,3,4,1,2,6]=>3
[5,3,4,1,6,2,7]=>[5,3,4,1,6,2]=>3
[5,3,4,1,6,7,2]=>[5,3,4,1,6,2]=>3
[5,3,4,1,7,2,6]=>[5,3,4,1,2,6]=>3
[5,3,4,1,7,6,2]=>[5,3,4,1,6,2]=>3
[5,3,4,2,1,6,7]=>[5,3,4,2,1,6]=>2
[5,3,4,2,1,7,6]=>[5,3,4,2,1,6]=>2
[5,3,4,2,6,1,7]=>[5,3,4,2,6,1]=>2
[5,3,4,2,6,7,1]=>[5,3,4,2,6,1]=>2
[5,3,4,2,7,1,6]=>[5,3,4,2,1,6]=>2
[5,3,4,2,7,6,1]=>[5,3,4,2,6,1]=>2
[5,3,4,6,1,2,7]=>[5,3,4,6,1,2]=>6
[5,3,4,6,1,7,2]=>[5,3,4,6,1,2]=>6
[5,3,4,6,2,1,7]=>[5,3,4,6,2,1]=>2
[5,3,4,6,2,7,1]=>[5,3,4,6,2,1]=>2
[5,3,4,6,7,1,2]=>[5,3,4,6,1,2]=>6
[5,3,4,6,7,2,1]=>[5,3,4,6,2,1]=>2
[5,3,4,7,1,2,6]=>[5,3,4,1,2,6]=>3
[5,3,4,7,1,6,2]=>[5,3,4,1,6,2]=>3
[5,3,4,7,2,1,6]=>[5,3,4,2,1,6]=>2
[5,3,4,7,2,6,1]=>[5,3,4,2,6,1]=>2
[5,3,4,7,6,1,2]=>[5,3,4,6,1,2]=>6
[5,3,4,7,6,2,1]=>[5,3,4,6,2,1]=>2
[5,3,6,1,2,4,7]=>[5,3,6,1,2,4]=>3
[5,3,6,1,2,7,4]=>[5,3,6,1,2,4]=>3
[5,3,6,1,4,2,7]=>[5,3,6,1,4,2]=>3
[5,3,6,1,4,7,2]=>[5,3,6,1,4,2]=>3
[5,3,6,1,7,2,4]=>[5,3,6,1,2,4]=>3
[5,3,6,1,7,4,2]=>[5,3,6,1,4,2]=>3
[5,3,6,2,1,4,7]=>[5,3,6,2,1,4]=>2
[5,3,6,2,1,7,4]=>[5,3,6,2,1,4]=>2
[5,3,6,2,4,1,7]=>[5,3,6,2,4,1]=>3
[5,3,6,2,4,7,1]=>[5,3,6,2,4,1]=>3
[5,3,6,2,7,1,4]=>[5,3,6,2,1,4]=>2
[5,3,6,2,7,4,1]=>[5,3,6,2,4,1]=>3
[5,3,6,4,1,2,7]=>[5,3,6,4,1,2]=>4
[5,3,6,4,1,7,2]=>[5,3,6,4,1,2]=>4
[5,3,6,4,2,1,7]=>[5,3,6,4,2,1]=>2
[5,3,6,4,2,7,1]=>[5,3,6,4,2,1]=>2
[5,3,6,4,7,1,2]=>[5,3,6,4,1,2]=>4
[5,3,6,4,7,2,1]=>[5,3,6,4,2,1]=>2
[5,3,6,7,1,2,4]=>[5,3,6,1,2,4]=>3
[5,3,6,7,1,4,2]=>[5,3,6,1,4,2]=>3
[5,3,6,7,2,1,4]=>[5,3,6,2,1,4]=>2
[5,3,6,7,2,4,1]=>[5,3,6,2,4,1]=>3
[5,3,6,7,4,1,2]=>[5,3,6,4,1,2]=>4
[5,3,6,7,4,2,1]=>[5,3,6,4,2,1]=>2
[5,3,7,1,2,4,6]=>[5,3,1,2,4,6]=>1
[5,3,7,1,2,6,4]=>[5,3,1,2,6,4]=>1
[5,3,7,1,4,2,6]=>[5,3,1,4,2,6]=>2
[5,3,7,1,4,6,2]=>[5,3,1,4,6,2]=>2
[5,3,7,1,6,2,4]=>[5,3,1,6,2,4]=>2
[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>2
[5,3,7,2,1,4,6]=>[5,3,2,1,4,6]=>1
[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>1
[5,3,7,2,4,1,6]=>[5,3,2,4,1,6]=>2
[5,3,7,2,4,6,1]=>[5,3,2,4,6,1]=>2
[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>2
[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>2
[5,3,7,4,1,2,6]=>[5,3,4,1,2,6]=>3
[5,3,7,4,1,6,2]=>[5,3,4,1,6,2]=>3
[5,3,7,4,2,1,6]=>[5,3,4,2,1,6]=>2
[5,3,7,4,2,6,1]=>[5,3,4,2,6,1]=>2
[5,3,7,4,6,1,2]=>[5,3,4,6,1,2]=>6
[5,3,7,4,6,2,1]=>[5,3,4,6,2,1]=>2
[5,3,7,6,1,2,4]=>[5,3,6,1,2,4]=>3
[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>3
[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>2
[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>3
[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>4
[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>2
[5,4,1,2,3,6,7]=>[5,4,1,2,3,6]=>1
[5,4,1,2,3,7,6]=>[5,4,1,2,3,6]=>1
[5,4,1,2,6,3,7]=>[5,4,1,2,6,3]=>1
[5,4,1,2,6,7,3]=>[5,4,1,2,6,3]=>1
[5,4,1,2,7,3,6]=>[5,4,1,2,3,6]=>1
[5,4,1,2,7,6,3]=>[5,4,1,2,6,3]=>1
[5,4,1,3,2,6,7]=>[5,4,1,3,2,6]=>1
[5,4,1,3,2,7,6]=>[5,4,1,3,2,6]=>1
[5,4,1,3,6,2,7]=>[5,4,1,3,6,2]=>1
[5,4,1,3,6,7,2]=>[5,4,1,3,6,2]=>1
[5,4,1,3,7,2,6]=>[5,4,1,3,2,6]=>1
[5,4,1,3,7,6,2]=>[5,4,1,3,6,2]=>1
[5,4,1,6,2,3,7]=>[5,4,1,6,2,3]=>2
[5,4,1,6,2,7,3]=>[5,4,1,6,2,3]=>2
[5,4,1,6,3,2,7]=>[5,4,1,6,3,2]=>1
[5,4,1,6,3,7,2]=>[5,4,1,6,3,2]=>1
[5,4,1,6,7,2,3]=>[5,4,1,6,2,3]=>2
[5,4,1,6,7,3,2]=>[5,4,1,6,3,2]=>1
[5,4,1,7,2,3,6]=>[5,4,1,2,3,6]=>1
[5,4,1,7,2,6,3]=>[5,4,1,2,6,3]=>1
[5,4,1,7,3,2,6]=>[5,4,1,3,2,6]=>1
[5,4,1,7,3,6,2]=>[5,4,1,3,6,2]=>1
[5,4,1,7,6,2,3]=>[5,4,1,6,2,3]=>2
[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>1
[5,4,2,1,3,6,7]=>[5,4,2,1,3,6]=>1
[5,4,2,1,3,7,6]=>[5,4,2,1,3,6]=>1
[5,4,2,1,6,3,7]=>[5,4,2,1,6,3]=>1
[5,4,2,1,6,7,3]=>[5,4,2,1,6,3]=>1
[5,4,2,1,7,3,6]=>[5,4,2,1,3,6]=>1
[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>1
[5,4,2,3,1,6,7]=>[5,4,2,3,1,6]=>2
[5,4,2,3,1,7,6]=>[5,4,2,3,1,6]=>2
[5,4,2,3,6,1,7]=>[5,4,2,3,6,1]=>2
[5,4,2,3,6,7,1]=>[5,4,2,3,6,1]=>2
[5,4,2,3,7,1,6]=>[5,4,2,3,1,6]=>2
[5,4,2,3,7,6,1]=>[5,4,2,3,6,1]=>2
[5,4,2,6,1,3,7]=>[5,4,2,6,1,3]=>2
[5,4,2,6,1,7,3]=>[5,4,2,6,1,3]=>2
[5,4,2,6,3,1,7]=>[5,4,2,6,3,1]=>2
[5,4,2,6,3,7,1]=>[5,4,2,6,3,1]=>2
[5,4,2,6,7,1,3]=>[5,4,2,6,1,3]=>2
[5,4,2,6,7,3,1]=>[5,4,2,6,3,1]=>2
[5,4,2,7,1,3,6]=>[5,4,2,1,3,6]=>1
[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>1
[5,4,2,7,3,1,6]=>[5,4,2,3,1,6]=>2
[5,4,2,7,3,6,1]=>[5,4,2,3,6,1]=>2
[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>2
[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>2
[5,4,3,1,2,6,7]=>[5,4,3,1,2,6]=>1
[5,4,3,1,2,7,6]=>[5,4,3,1,2,6]=>1
[5,4,3,1,6,2,7]=>[5,4,3,1,6,2]=>1
[5,4,3,1,6,7,2]=>[5,4,3,1,6,2]=>1
[5,4,3,1,7,2,6]=>[5,4,3,1,2,6]=>1
[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>1
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6]=>1
[5,4,3,2,1,7,6]=>[5,4,3,2,1,6]=>1
[5,4,3,2,6,1,7]=>[5,4,3,2,6,1]=>1
[5,4,3,2,6,7,1]=>[5,4,3,2,6,1]=>1
[5,4,3,2,7,1,6]=>[5,4,3,2,1,6]=>1
[5,4,3,2,7,6,1]=>[5,4,3,2,6,1]=>1
[5,4,3,6,1,2,7]=>[5,4,3,6,1,2]=>2
[5,4,3,6,1,7,2]=>[5,4,3,6,1,2]=>2
[5,4,3,6,2,1,7]=>[5,4,3,6,2,1]=>1
[5,4,3,6,2,7,1]=>[5,4,3,6,2,1]=>1
[5,4,3,6,7,1,2]=>[5,4,3,6,1,2]=>2
[5,4,3,6,7,2,1]=>[5,4,3,6,2,1]=>1
[5,4,3,7,1,2,6]=>[5,4,3,1,2,6]=>1
[5,4,3,7,1,6,2]=>[5,4,3,1,6,2]=>1
[5,4,3,7,2,1,6]=>[5,4,3,2,1,6]=>1
[5,4,3,7,2,6,1]=>[5,4,3,2,6,1]=>1
[5,4,3,7,6,1,2]=>[5,4,3,6,1,2]=>2
[5,4,3,7,6,2,1]=>[5,4,3,6,2,1]=>1
[5,4,6,1,2,3,7]=>[5,4,6,1,2,3]=>4
[5,4,6,1,2,7,3]=>[5,4,6,1,2,3]=>4
[5,4,6,1,3,2,7]=>[5,4,6,1,3,2]=>2
[5,4,6,1,3,7,2]=>[5,4,6,1,3,2]=>2
[5,4,6,1,7,2,3]=>[5,4,6,1,2,3]=>4
[5,4,6,1,7,3,2]=>[5,4,6,1,3,2]=>2
[5,4,6,2,1,3,7]=>[5,4,6,2,1,3]=>3
[5,4,6,2,1,7,3]=>[5,4,6,2,1,3]=>3
[5,4,6,2,3,1,7]=>[5,4,6,2,3,1]=>4
[5,4,6,2,3,7,1]=>[5,4,6,2,3,1]=>4
[5,4,6,2,7,1,3]=>[5,4,6,2,1,3]=>3
[5,4,6,2,7,3,1]=>[5,4,6,2,3,1]=>4
[5,4,6,3,1,2,7]=>[5,4,6,3,1,2]=>2
[5,4,6,3,1,7,2]=>[5,4,6,3,1,2]=>2
[5,4,6,3,2,1,7]=>[5,4,6,3,2,1]=>1
[5,4,6,3,2,7,1]=>[5,4,6,3,2,1]=>1
[5,4,6,3,7,1,2]=>[5,4,6,3,1,2]=>2
[5,4,6,3,7,2,1]=>[5,4,6,3,2,1]=>1
[5,4,6,7,1,2,3]=>[5,4,6,1,2,3]=>4
[5,4,6,7,1,3,2]=>[5,4,6,1,3,2]=>2
[5,4,6,7,2,1,3]=>[5,4,6,2,1,3]=>3
[5,4,6,7,2,3,1]=>[5,4,6,2,3,1]=>4
[5,4,6,7,3,1,2]=>[5,4,6,3,1,2]=>2
[5,4,6,7,3,2,1]=>[5,4,6,3,2,1]=>1
[5,4,7,1,2,3,6]=>[5,4,1,2,3,6]=>1
[5,4,7,1,2,6,3]=>[5,4,1,2,6,3]=>1
[5,4,7,1,3,2,6]=>[5,4,1,3,2,6]=>1
[5,4,7,1,3,6,2]=>[5,4,1,3,6,2]=>1
[5,4,7,1,6,2,3]=>[5,4,1,6,2,3]=>2
[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>1
[5,4,7,2,1,3,6]=>[5,4,2,1,3,6]=>1
[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>1
[5,4,7,2,3,1,6]=>[5,4,2,3,1,6]=>2
[5,4,7,2,3,6,1]=>[5,4,2,3,6,1]=>2
[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>2
[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>2
[5,4,7,3,1,2,6]=>[5,4,3,1,2,6]=>1
[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>1
[5,4,7,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,4,7,3,2,6,1]=>[5,4,3,2,6,1]=>1
[5,4,7,3,6,1,2]=>[5,4,3,6,1,2]=>2
[5,4,7,3,6,2,1]=>[5,4,3,6,2,1]=>1
[5,4,7,6,1,2,3]=>[5,4,6,1,2,3]=>4
[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>2
[5,4,7,6,2,1,3]=>[5,4,6,2,1,3]=>3
[5,4,7,6,2,3,1]=>[5,4,6,2,3,1]=>4
[5,4,7,6,3,1,2]=>[5,4,6,3,1,2]=>2
[5,4,7,6,3,2,1]=>[5,4,6,3,2,1]=>1
[5,6,1,2,3,4,7]=>[5,6,1,2,3,4]=>5
[5,6,1,2,3,7,4]=>[5,6,1,2,3,4]=>5
[5,6,1,2,4,3,7]=>[5,6,1,2,4,3]=>3
[5,6,1,2,4,7,3]=>[5,6,1,2,4,3]=>3
[5,6,1,2,7,3,4]=>[5,6,1,2,3,4]=>5
[5,6,1,2,7,4,3]=>[5,6,1,2,4,3]=>3
[5,6,1,3,2,4,7]=>[5,6,1,3,2,4]=>4
[5,6,1,3,2,7,4]=>[5,6,1,3,2,4]=>4
[5,6,1,3,4,2,7]=>[5,6,1,3,4,2]=>6
[5,6,1,3,4,7,2]=>[5,6,1,3,4,2]=>6
[5,6,1,3,7,2,4]=>[5,6,1,3,2,4]=>4
[5,6,1,3,7,4,2]=>[5,6,1,3,4,2]=>6
[5,6,1,4,2,3,7]=>[5,6,1,4,2,3]=>3
[5,6,1,4,2,7,3]=>[5,6,1,4,2,3]=>3
[5,6,1,4,3,2,7]=>[5,6,1,4,3,2]=>2
[5,6,1,4,3,7,2]=>[5,6,1,4,3,2]=>2
[5,6,1,4,7,2,3]=>[5,6,1,4,2,3]=>3
[5,6,1,4,7,3,2]=>[5,6,1,4,3,2]=>2
[5,6,1,7,2,3,4]=>[5,6,1,2,3,4]=>5
[5,6,1,7,2,4,3]=>[5,6,1,2,4,3]=>3
[5,6,1,7,3,2,4]=>[5,6,1,3,2,4]=>4
[5,6,1,7,3,4,2]=>[5,6,1,3,4,2]=>6
[5,6,1,7,4,2,3]=>[5,6,1,4,2,3]=>3
[5,6,1,7,4,3,2]=>[5,6,1,4,3,2]=>2
[5,6,2,1,3,4,7]=>[5,6,2,1,3,4]=>3
[5,6,2,1,3,7,4]=>[5,6,2,1,3,4]=>3
[5,6,2,1,4,3,7]=>[5,6,2,1,4,3]=>2
[5,6,2,1,4,7,3]=>[5,6,2,1,4,3]=>2
[5,6,2,1,7,3,4]=>[5,6,2,1,3,4]=>3
[5,6,2,1,7,4,3]=>[5,6,2,1,4,3]=>2
[5,6,2,3,1,4,7]=>[5,6,2,3,1,4]=>6
[5,6,2,3,1,7,4]=>[5,6,2,3,1,4]=>6
[5,6,2,3,4,1,7]=>[5,6,2,3,4,1]=>9
[5,6,2,3,4,7,1]=>[5,6,2,3,4,1]=>9
[5,6,2,3,7,1,4]=>[5,6,2,3,1,4]=>6
[5,6,2,3,7,4,1]=>[5,6,2,3,4,1]=>9
[5,6,2,4,1,3,7]=>[5,6,2,4,1,3]=>4
[5,6,2,4,1,7,3]=>[5,6,2,4,1,3]=>4
[5,6,2,4,3,1,7]=>[5,6,2,4,3,1]=>3
[5,6,2,4,3,7,1]=>[5,6,2,4,3,1]=>3
[5,6,2,4,7,1,3]=>[5,6,2,4,1,3]=>4
[5,6,2,4,7,3,1]=>[5,6,2,4,3,1]=>3
[5,6,2,7,1,3,4]=>[5,6,2,1,3,4]=>3
[5,6,2,7,1,4,3]=>[5,6,2,1,4,3]=>2
[5,6,2,7,3,1,4]=>[5,6,2,3,1,4]=>6
[5,6,2,7,3,4,1]=>[5,6,2,3,4,1]=>9
[5,6,2,7,4,1,3]=>[5,6,2,4,1,3]=>4
[5,6,2,7,4,3,1]=>[5,6,2,4,3,1]=>3
[5,6,3,1,2,4,7]=>[5,6,3,1,2,4]=>3
[5,6,3,1,2,7,4]=>[5,6,3,1,2,4]=>3
[5,6,3,1,4,2,7]=>[5,6,3,1,4,2]=>4
[5,6,3,1,4,7,2]=>[5,6,3,1,4,2]=>4
[5,6,3,1,7,2,4]=>[5,6,3,1,2,4]=>3
[5,6,3,1,7,4,2]=>[5,6,3,1,4,2]=>4
[5,6,3,2,1,4,7]=>[5,6,3,2,1,4]=>2
[5,6,3,2,1,7,4]=>[5,6,3,2,1,4]=>2
[5,6,3,2,4,1,7]=>[5,6,3,2,4,1]=>3
[5,6,3,2,4,7,1]=>[5,6,3,2,4,1]=>3
[5,6,3,2,7,1,4]=>[5,6,3,2,1,4]=>2
[5,6,3,2,7,4,1]=>[5,6,3,2,4,1]=>3
[5,6,3,4,1,2,7]=>[5,6,3,4,1,2]=>8
[5,6,3,4,1,7,2]=>[5,6,3,4,1,2]=>8
[5,6,3,4,2,1,7]=>[5,6,3,4,2,1]=>4
[5,6,3,4,2,7,1]=>[5,6,3,4,2,1]=>4
[5,6,3,4,7,1,2]=>[5,6,3,4,1,2]=>8
[5,6,3,4,7,2,1]=>[5,6,3,4,2,1]=>4
[5,6,3,7,1,2,4]=>[5,6,3,1,2,4]=>3
[5,6,3,7,1,4,2]=>[5,6,3,1,4,2]=>4
[5,6,3,7,2,1,4]=>[5,6,3,2,1,4]=>2
[5,6,3,7,2,4,1]=>[5,6,3,2,4,1]=>3
[5,6,3,7,4,1,2]=>[5,6,3,4,1,2]=>8
[5,6,3,7,4,2,1]=>[5,6,3,4,2,1]=>4
[5,6,4,1,2,3,7]=>[5,6,4,1,2,3]=>3
[5,6,4,1,2,7,3]=>[5,6,4,1,2,3]=>3
[5,6,4,1,3,2,7]=>[5,6,4,1,3,2]=>2
[5,6,4,1,3,7,2]=>[5,6,4,1,3,2]=>2
[5,6,4,1,7,2,3]=>[5,6,4,1,2,3]=>3
[5,6,4,1,7,3,2]=>[5,6,4,1,3,2]=>2
[5,6,4,2,1,3,7]=>[5,6,4,2,1,3]=>2
[5,6,4,2,1,7,3]=>[5,6,4,2,1,3]=>2
[5,6,4,2,3,1,7]=>[5,6,4,2,3,1]=>3
[5,6,4,2,3,7,1]=>[5,6,4,2,3,1]=>3
[5,6,4,2,7,1,3]=>[5,6,4,2,1,3]=>2
[5,6,4,2,7,3,1]=>[5,6,4,2,3,1]=>3
[5,6,4,3,1,2,7]=>[5,6,4,3,1,2]=>2
[5,6,4,3,1,7,2]=>[5,6,4,3,1,2]=>2
[5,6,4,3,2,1,7]=>[5,6,4,3,2,1]=>1
[5,6,4,3,2,7,1]=>[5,6,4,3,2,1]=>1
[5,6,4,3,7,1,2]=>[5,6,4,3,1,2]=>2
[5,6,4,3,7,2,1]=>[5,6,4,3,2,1]=>1
[5,6,4,7,1,2,3]=>[5,6,4,1,2,3]=>3
[5,6,4,7,1,3,2]=>[5,6,4,1,3,2]=>2
[5,6,4,7,2,1,3]=>[5,6,4,2,1,3]=>2
[5,6,4,7,2,3,1]=>[5,6,4,2,3,1]=>3
[5,6,4,7,3,1,2]=>[5,6,4,3,1,2]=>2
[5,6,4,7,3,2,1]=>[5,6,4,3,2,1]=>1
[5,6,7,1,2,3,4]=>[5,6,1,2,3,4]=>5
[5,6,7,1,2,4,3]=>[5,6,1,2,4,3]=>3
[5,6,7,1,3,2,4]=>[5,6,1,3,2,4]=>4
[5,6,7,1,3,4,2]=>[5,6,1,3,4,2]=>6
[5,6,7,1,4,2,3]=>[5,6,1,4,2,3]=>3
[5,6,7,1,4,3,2]=>[5,6,1,4,3,2]=>2
[5,6,7,2,1,3,4]=>[5,6,2,1,3,4]=>3
[5,6,7,2,1,4,3]=>[5,6,2,1,4,3]=>2
[5,6,7,2,3,1,4]=>[5,6,2,3,1,4]=>6
[5,6,7,2,3,4,1]=>[5,6,2,3,4,1]=>9
[5,6,7,2,4,1,3]=>[5,6,2,4,1,3]=>4
[5,6,7,2,4,3,1]=>[5,6,2,4,3,1]=>3
[5,6,7,3,1,2,4]=>[5,6,3,1,2,4]=>3
[5,6,7,3,1,4,2]=>[5,6,3,1,4,2]=>4
[5,6,7,3,2,1,4]=>[5,6,3,2,1,4]=>2
[5,6,7,3,2,4,1]=>[5,6,3,2,4,1]=>3
[5,6,7,3,4,1,2]=>[5,6,3,4,1,2]=>8
[5,6,7,3,4,2,1]=>[5,6,3,4,2,1]=>4
[5,6,7,4,1,2,3]=>[5,6,4,1,2,3]=>3
[5,6,7,4,1,3,2]=>[5,6,4,1,3,2]=>2
[5,6,7,4,2,1,3]=>[5,6,4,2,1,3]=>2
[5,6,7,4,2,3,1]=>[5,6,4,2,3,1]=>3
[5,6,7,4,3,1,2]=>[5,6,4,3,1,2]=>2
[5,6,7,4,3,2,1]=>[5,6,4,3,2,1]=>1
[5,7,1,2,3,4,6]=>[5,1,2,3,4,6]=>1
[5,7,1,2,3,6,4]=>[5,1,2,3,6,4]=>1
[5,7,1,2,4,3,6]=>[5,1,2,4,3,6]=>1
[5,7,1,2,4,6,3]=>[5,1,2,4,6,3]=>1
[5,7,1,2,6,3,4]=>[5,1,2,6,3,4]=>2
[5,7,1,2,6,4,3]=>[5,1,2,6,4,3]=>1
[5,7,1,3,2,4,6]=>[5,1,3,2,4,6]=>1
[5,7,1,3,2,6,4]=>[5,1,3,2,6,4]=>1
[5,7,1,3,4,2,6]=>[5,1,3,4,2,6]=>2
[5,7,1,3,4,6,2]=>[5,1,3,4,6,2]=>2
[5,7,1,3,6,2,4]=>[5,1,3,6,2,4]=>2
[5,7,1,3,6,4,2]=>[5,1,3,6,4,2]=>2
[5,7,1,4,2,3,6]=>[5,1,4,2,3,6]=>1
[5,7,1,4,2,6,3]=>[5,1,4,2,6,3]=>1
[5,7,1,4,3,2,6]=>[5,1,4,3,2,6]=>1
[5,7,1,4,3,6,2]=>[5,1,4,3,6,2]=>1
[5,7,1,4,6,2,3]=>[5,1,4,6,2,3]=>2
[5,7,1,4,6,3,2]=>[5,1,4,6,3,2]=>1
[5,7,1,6,2,3,4]=>[5,1,6,2,3,4]=>3
[5,7,1,6,2,4,3]=>[5,1,6,2,4,3]=>2
[5,7,1,6,3,2,4]=>[5,1,6,3,2,4]=>2
[5,7,1,6,3,4,2]=>[5,1,6,3,4,2]=>3
[5,7,1,6,4,2,3]=>[5,1,6,4,2,3]=>2
[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>1
[5,7,2,1,3,4,6]=>[5,2,1,3,4,6]=>1
[5,7,2,1,3,6,4]=>[5,2,1,3,6,4]=>1
[5,7,2,1,4,3,6]=>[5,2,1,4,3,6]=>1
[5,7,2,1,4,6,3]=>[5,2,1,4,6,3]=>1
[5,7,2,1,6,3,4]=>[5,2,1,6,3,4]=>2
[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>1
[5,7,2,3,1,4,6]=>[5,2,3,1,4,6]=>2
[5,7,2,3,1,6,4]=>[5,2,3,1,6,4]=>2
[5,7,2,3,4,1,6]=>[5,2,3,4,1,6]=>4
[5,7,2,3,4,6,1]=>[5,2,3,4,6,1]=>4
[5,7,2,3,6,1,4]=>[5,2,3,6,1,4]=>4
[5,7,2,3,6,4,1]=>[5,2,3,6,4,1]=>4
[5,7,2,4,1,3,6]=>[5,2,4,1,3,6]=>2
[5,7,2,4,1,6,3]=>[5,2,4,1,6,3]=>2
[5,7,2,4,3,1,6]=>[5,2,4,3,1,6]=>2
[5,7,2,4,3,6,1]=>[5,2,4,3,6,1]=>2
[5,7,2,4,6,1,3]=>[5,2,4,6,1,3]=>4
[5,7,2,4,6,3,1]=>[5,2,4,6,3,1]=>2
[5,7,2,6,1,3,4]=>[5,2,6,1,3,4]=>3
[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>2
[5,7,2,6,3,1,4]=>[5,2,6,3,1,4]=>4
[5,7,2,6,3,4,1]=>[5,2,6,3,4,1]=>6
[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>3
[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>2
[5,7,3,1,2,4,6]=>[5,3,1,2,4,6]=>1
[5,7,3,1,2,6,4]=>[5,3,1,2,6,4]=>1
[5,7,3,1,4,2,6]=>[5,3,1,4,2,6]=>2
[5,7,3,1,4,6,2]=>[5,3,1,4,6,2]=>2
[5,7,3,1,6,2,4]=>[5,3,1,6,2,4]=>2
[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>2
[5,7,3,2,1,4,6]=>[5,3,2,1,4,6]=>1
[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>1
[5,7,3,2,4,1,6]=>[5,3,2,4,1,6]=>2
[5,7,3,2,4,6,1]=>[5,3,2,4,6,1]=>2
[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>2
[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>2
[5,7,3,4,1,2,6]=>[5,3,4,1,2,6]=>3
[5,7,3,4,1,6,2]=>[5,3,4,1,6,2]=>3
[5,7,3,4,2,1,6]=>[5,3,4,2,1,6]=>2
[5,7,3,4,2,6,1]=>[5,3,4,2,6,1]=>2
[5,7,3,4,6,1,2]=>[5,3,4,6,1,2]=>6
[5,7,3,4,6,2,1]=>[5,3,4,6,2,1]=>2
[5,7,3,6,1,2,4]=>[5,3,6,1,2,4]=>3
[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>3
[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>2
[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>3
[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>4
[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>2
[5,7,4,1,2,3,6]=>[5,4,1,2,3,6]=>1
[5,7,4,1,2,6,3]=>[5,4,1,2,6,3]=>1
[5,7,4,1,3,2,6]=>[5,4,1,3,2,6]=>1
[5,7,4,1,3,6,2]=>[5,4,1,3,6,2]=>1
[5,7,4,1,6,2,3]=>[5,4,1,6,2,3]=>2
[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>1
[5,7,4,2,1,3,6]=>[5,4,2,1,3,6]=>1
[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>1
[5,7,4,2,3,1,6]=>[5,4,2,3,1,6]=>2
[5,7,4,2,3,6,1]=>[5,4,2,3,6,1]=>2
[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>2
[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>2
[5,7,4,3,1,2,6]=>[5,4,3,1,2,6]=>1
[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>1
[5,7,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,7,4,3,2,6,1]=>[5,4,3,2,6,1]=>1
[5,7,4,3,6,1,2]=>[5,4,3,6,1,2]=>2
[5,7,4,3,6,2,1]=>[5,4,3,6,2,1]=>1
[5,7,4,6,1,2,3]=>[5,4,6,1,2,3]=>4
[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>2
[5,7,4,6,2,1,3]=>[5,4,6,2,1,3]=>3
[5,7,4,6,2,3,1]=>[5,4,6,2,3,1]=>4
[5,7,4,6,3,1,2]=>[5,4,6,3,1,2]=>2
[5,7,4,6,3,2,1]=>[5,4,6,3,2,1]=>1
[5,7,6,1,2,3,4]=>[5,6,1,2,3,4]=>5
[5,7,6,1,2,4,3]=>[5,6,1,2,4,3]=>3
[5,7,6,1,3,2,4]=>[5,6,1,3,2,4]=>4
[5,7,6,1,3,4,2]=>[5,6,1,3,4,2]=>6
[5,7,6,1,4,2,3]=>[5,6,1,4,2,3]=>3
[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>2
[5,7,6,2,1,3,4]=>[5,6,2,1,3,4]=>3
[5,7,6,2,1,4,3]=>[5,6,2,1,4,3]=>2
[5,7,6,2,3,1,4]=>[5,6,2,3,1,4]=>6
[5,7,6,2,3,4,1]=>[5,6,2,3,4,1]=>9
[5,7,6,2,4,1,3]=>[5,6,2,4,1,3]=>4
[5,7,6,2,4,3,1]=>[5,6,2,4,3,1]=>3
[5,7,6,3,1,2,4]=>[5,6,3,1,2,4]=>3
[5,7,6,3,1,4,2]=>[5,6,3,1,4,2]=>4
[5,7,6,3,2,1,4]=>[5,6,3,2,1,4]=>2
[5,7,6,3,2,4,1]=>[5,6,3,2,4,1]=>3
[5,7,6,3,4,1,2]=>[5,6,3,4,1,2]=>8
[5,7,6,3,4,2,1]=>[5,6,3,4,2,1]=>4
[5,7,6,4,1,2,3]=>[5,6,4,1,2,3]=>3
[5,7,6,4,1,3,2]=>[5,6,4,1,3,2]=>2
[5,7,6,4,2,1,3]=>[5,6,4,2,1,3]=>2
[5,7,6,4,2,3,1]=>[5,6,4,2,3,1]=>3
[5,7,6,4,3,1,2]=>[5,6,4,3,1,2]=>2
[5,7,6,4,3,2,1]=>[5,6,4,3,2,1]=>1
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5]=>1
[6,1,2,3,4,7,5]=>[6,1,2,3,4,5]=>1
[6,1,2,3,5,4,7]=>[6,1,2,3,5,4]=>1
[6,1,2,3,5,7,4]=>[6,1,2,3,5,4]=>1
[6,1,2,3,7,4,5]=>[6,1,2,3,4,5]=>1
[6,1,2,3,7,5,4]=>[6,1,2,3,5,4]=>1
[6,1,2,4,3,5,7]=>[6,1,2,4,3,5]=>1
[6,1,2,4,3,7,5]=>[6,1,2,4,3,5]=>1
[6,1,2,4,5,3,7]=>[6,1,2,4,5,3]=>2
[6,1,2,4,5,7,3]=>[6,1,2,4,5,3]=>2
[6,1,2,4,7,3,5]=>[6,1,2,4,3,5]=>1
[6,1,2,4,7,5,3]=>[6,1,2,4,5,3]=>2
[6,1,2,5,3,4,7]=>[6,1,2,5,3,4]=>1
[6,1,2,5,3,7,4]=>[6,1,2,5,3,4]=>1
[6,1,2,5,4,3,7]=>[6,1,2,5,4,3]=>1
[6,1,2,5,4,7,3]=>[6,1,2,5,4,3]=>1
[6,1,2,5,7,3,4]=>[6,1,2,5,3,4]=>1
[6,1,2,5,7,4,3]=>[6,1,2,5,4,3]=>1
[6,1,2,7,3,4,5]=>[6,1,2,3,4,5]=>1
[6,1,2,7,3,5,4]=>[6,1,2,3,5,4]=>1
[6,1,2,7,4,3,5]=>[6,1,2,4,3,5]=>1
[6,1,2,7,4,5,3]=>[6,1,2,4,5,3]=>2
[6,1,2,7,5,3,4]=>[6,1,2,5,3,4]=>1
[6,1,2,7,5,4,3]=>[6,1,2,5,4,3]=>1
[6,1,3,2,4,5,7]=>[6,1,3,2,4,5]=>1
[6,1,3,2,4,7,5]=>[6,1,3,2,4,5]=>1
[6,1,3,2,5,4,7]=>[6,1,3,2,5,4]=>1
[6,1,3,2,5,7,4]=>[6,1,3,2,5,4]=>1
[6,1,3,2,7,4,5]=>[6,1,3,2,4,5]=>1
[6,1,3,2,7,5,4]=>[6,1,3,2,5,4]=>1
[6,1,3,4,2,5,7]=>[6,1,3,4,2,5]=>2
[6,1,3,4,2,7,5]=>[6,1,3,4,2,5]=>2
[6,1,3,4,5,2,7]=>[6,1,3,4,5,2]=>4
[6,1,3,4,5,7,2]=>[6,1,3,4,5,2]=>4
[6,1,3,4,7,2,5]=>[6,1,3,4,2,5]=>2
[6,1,3,4,7,5,2]=>[6,1,3,4,5,2]=>4
[6,1,3,5,2,4,7]=>[6,1,3,5,2,4]=>2
[6,1,3,5,2,7,4]=>[6,1,3,5,2,4]=>2
[6,1,3,5,4,2,7]=>[6,1,3,5,4,2]=>2
[6,1,3,5,4,7,2]=>[6,1,3,5,4,2]=>2
[6,1,3,5,7,2,4]=>[6,1,3,5,2,4]=>2
[6,1,3,5,7,4,2]=>[6,1,3,5,4,2]=>2
[6,1,3,7,2,4,5]=>[6,1,3,2,4,5]=>1
[6,1,3,7,2,5,4]=>[6,1,3,2,5,4]=>1
[6,1,3,7,4,2,5]=>[6,1,3,4,2,5]=>2
[6,1,3,7,4,5,2]=>[6,1,3,4,5,2]=>4
[6,1,3,7,5,2,4]=>[6,1,3,5,2,4]=>2
[6,1,3,7,5,4,2]=>[6,1,3,5,4,2]=>2
[6,1,4,2,3,5,7]=>[6,1,4,2,3,5]=>1
[6,1,4,2,3,7,5]=>[6,1,4,2,3,5]=>1
[6,1,4,2,5,3,7]=>[6,1,4,2,5,3]=>2
[6,1,4,2,5,7,3]=>[6,1,4,2,5,3]=>2
[6,1,4,2,7,3,5]=>[6,1,4,2,3,5]=>1
[6,1,4,2,7,5,3]=>[6,1,4,2,5,3]=>2
[6,1,4,3,2,5,7]=>[6,1,4,3,2,5]=>1
[6,1,4,3,2,7,5]=>[6,1,4,3,2,5]=>1
[6,1,4,3,5,2,7]=>[6,1,4,3,5,2]=>2
[6,1,4,3,5,7,2]=>[6,1,4,3,5,2]=>2
[6,1,4,3,7,2,5]=>[6,1,4,3,2,5]=>1
[6,1,4,3,7,5,2]=>[6,1,4,3,5,2]=>2
[6,1,4,5,2,3,7]=>[6,1,4,5,2,3]=>3
[6,1,4,5,2,7,3]=>[6,1,4,5,2,3]=>3
[6,1,4,5,3,2,7]=>[6,1,4,5,3,2]=>2
[6,1,4,5,3,7,2]=>[6,1,4,5,3,2]=>2
[6,1,4,5,7,2,3]=>[6,1,4,5,2,3]=>3
[6,1,4,5,7,3,2]=>[6,1,4,5,3,2]=>2
[6,1,4,7,2,3,5]=>[6,1,4,2,3,5]=>1
[6,1,4,7,2,5,3]=>[6,1,4,2,5,3]=>2
[6,1,4,7,3,2,5]=>[6,1,4,3,2,5]=>1
[6,1,4,7,3,5,2]=>[6,1,4,3,5,2]=>2
[6,1,4,7,5,2,3]=>[6,1,4,5,2,3]=>3
[6,1,4,7,5,3,2]=>[6,1,4,5,3,2]=>2
[6,1,5,2,3,4,7]=>[6,1,5,2,3,4]=>1
[6,1,5,2,3,7,4]=>[6,1,5,2,3,4]=>1
[6,1,5,2,4,3,7]=>[6,1,5,2,4,3]=>1
[6,1,5,2,4,7,3]=>[6,1,5,2,4,3]=>1
[6,1,5,2,7,3,4]=>[6,1,5,2,3,4]=>1
[6,1,5,2,7,4,3]=>[6,1,5,2,4,3]=>1
[6,1,5,3,2,4,7]=>[6,1,5,3,2,4]=>1
[6,1,5,3,2,7,4]=>[6,1,5,3,2,4]=>1
[6,1,5,3,4,2,7]=>[6,1,5,3,4,2]=>2
[6,1,5,3,4,7,2]=>[6,1,5,3,4,2]=>2
[6,1,5,3,7,2,4]=>[6,1,5,3,2,4]=>1
[6,1,5,3,7,4,2]=>[6,1,5,3,4,2]=>2
[6,1,5,4,2,3,7]=>[6,1,5,4,2,3]=>1
[6,1,5,4,2,7,3]=>[6,1,5,4,2,3]=>1
[6,1,5,4,3,2,7]=>[6,1,5,4,3,2]=>1
[6,1,5,4,3,7,2]=>[6,1,5,4,3,2]=>1
[6,1,5,4,7,2,3]=>[6,1,5,4,2,3]=>1
[6,1,5,4,7,3,2]=>[6,1,5,4,3,2]=>1
[6,1,5,7,2,3,4]=>[6,1,5,2,3,4]=>1
[6,1,5,7,2,4,3]=>[6,1,5,2,4,3]=>1
[6,1,5,7,3,2,4]=>[6,1,5,3,2,4]=>1
[6,1,5,7,3,4,2]=>[6,1,5,3,4,2]=>2
[6,1,5,7,4,2,3]=>[6,1,5,4,2,3]=>1
[6,1,5,7,4,3,2]=>[6,1,5,4,3,2]=>1
[6,1,7,2,3,4,5]=>[6,1,2,3,4,5]=>1
[6,1,7,2,3,5,4]=>[6,1,2,3,5,4]=>1
[6,1,7,2,4,3,5]=>[6,1,2,4,3,5]=>1
[6,1,7,2,4,5,3]=>[6,1,2,4,5,3]=>2
[6,1,7,2,5,3,4]=>[6,1,2,5,3,4]=>1
[6,1,7,2,5,4,3]=>[6,1,2,5,4,3]=>1
[6,1,7,3,2,4,5]=>[6,1,3,2,4,5]=>1
[6,1,7,3,2,5,4]=>[6,1,3,2,5,4]=>1
[6,1,7,3,4,2,5]=>[6,1,3,4,2,5]=>2
[6,1,7,3,4,5,2]=>[6,1,3,4,5,2]=>4
[6,1,7,3,5,2,4]=>[6,1,3,5,2,4]=>2
[6,1,7,3,5,4,2]=>[6,1,3,5,4,2]=>2
[6,1,7,4,2,3,5]=>[6,1,4,2,3,5]=>1
[6,1,7,4,2,5,3]=>[6,1,4,2,5,3]=>2
[6,1,7,4,3,2,5]=>[6,1,4,3,2,5]=>1
[6,1,7,4,3,5,2]=>[6,1,4,3,5,2]=>2
[6,1,7,4,5,2,3]=>[6,1,4,5,2,3]=>3
[6,1,7,4,5,3,2]=>[6,1,4,5,3,2]=>2
[6,1,7,5,2,3,4]=>[6,1,5,2,3,4]=>1
[6,1,7,5,2,4,3]=>[6,1,5,2,4,3]=>1
[6,1,7,5,3,2,4]=>[6,1,5,3,2,4]=>1
[6,1,7,5,3,4,2]=>[6,1,5,3,4,2]=>2
[6,1,7,5,4,2,3]=>[6,1,5,4,2,3]=>1
[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>1
[6,2,1,3,4,5,7]=>[6,2,1,3,4,5]=>1
[6,2,1,3,4,7,5]=>[6,2,1,3,4,5]=>1
[6,2,1,3,5,4,7]=>[6,2,1,3,5,4]=>1
[6,2,1,3,5,7,4]=>[6,2,1,3,5,4]=>1
[6,2,1,3,7,4,5]=>[6,2,1,3,4,5]=>1
[6,2,1,3,7,5,4]=>[6,2,1,3,5,4]=>1
[6,2,1,4,3,5,7]=>[6,2,1,4,3,5]=>1
[6,2,1,4,3,7,5]=>[6,2,1,4,3,5]=>1
[6,2,1,4,5,3,7]=>[6,2,1,4,5,3]=>2
[6,2,1,4,5,7,3]=>[6,2,1,4,5,3]=>2
[6,2,1,4,7,3,5]=>[6,2,1,4,3,5]=>1
[6,2,1,4,7,5,3]=>[6,2,1,4,5,3]=>2
[6,2,1,5,3,4,7]=>[6,2,1,5,3,4]=>1
[6,2,1,5,3,7,4]=>[6,2,1,5,3,4]=>1
[6,2,1,5,4,3,7]=>[6,2,1,5,4,3]=>1
[6,2,1,5,4,7,3]=>[6,2,1,5,4,3]=>1
[6,2,1,5,7,3,4]=>[6,2,1,5,3,4]=>1
[6,2,1,5,7,4,3]=>[6,2,1,5,4,3]=>1
[6,2,1,7,3,4,5]=>[6,2,1,3,4,5]=>1
[6,2,1,7,3,5,4]=>[6,2,1,3,5,4]=>1
[6,2,1,7,4,3,5]=>[6,2,1,4,3,5]=>1
[6,2,1,7,4,5,3]=>[6,2,1,4,5,3]=>2
[6,2,1,7,5,3,4]=>[6,2,1,5,3,4]=>1
[6,2,1,7,5,4,3]=>[6,2,1,5,4,3]=>1
[6,2,3,1,4,5,7]=>[6,2,3,1,4,5]=>2
[6,2,3,1,4,7,5]=>[6,2,3,1,4,5]=>2
[6,2,3,1,5,4,7]=>[6,2,3,1,5,4]=>2
[6,2,3,1,5,7,4]=>[6,2,3,1,5,4]=>2
[6,2,3,1,7,4,5]=>[6,2,3,1,4,5]=>2
[6,2,3,1,7,5,4]=>[6,2,3,1,5,4]=>2
[6,2,3,4,1,5,7]=>[6,2,3,4,1,5]=>4
[6,2,3,4,1,7,5]=>[6,2,3,4,1,5]=>4
[6,2,3,4,5,1,7]=>[6,2,3,4,5,1]=>8
[6,2,3,4,5,7,1]=>[6,2,3,4,5,1]=>8
[6,2,3,4,7,1,5]=>[6,2,3,4,1,5]=>4
[6,2,3,4,7,5,1]=>[6,2,3,4,5,1]=>8
[6,2,3,5,1,4,7]=>[6,2,3,5,1,4]=>4
[6,2,3,5,1,7,4]=>[6,2,3,5,1,4]=>4
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1]=>4
[6,2,3,5,4,7,1]=>[6,2,3,5,4,1]=>4
[6,2,3,5,7,1,4]=>[6,2,3,5,1,4]=>4
[6,2,3,5,7,4,1]=>[6,2,3,5,4,1]=>4
[6,2,3,7,1,4,5]=>[6,2,3,1,4,5]=>2
[6,2,3,7,1,5,4]=>[6,2,3,1,5,4]=>2
[6,2,3,7,4,1,5]=>[6,2,3,4,1,5]=>4
[6,2,3,7,4,5,1]=>[6,2,3,4,5,1]=>8
[6,2,3,7,5,1,4]=>[6,2,3,5,1,4]=>4
[6,2,3,7,5,4,1]=>[6,2,3,5,4,1]=>4
[6,2,4,1,3,5,7]=>[6,2,4,1,3,5]=>2
[6,2,4,1,3,7,5]=>[6,2,4,1,3,5]=>2
[6,2,4,1,5,3,7]=>[6,2,4,1,5,3]=>4
[6,2,4,1,5,7,3]=>[6,2,4,1,5,3]=>4
[6,2,4,1,7,3,5]=>[6,2,4,1,3,5]=>2
[6,2,4,1,7,5,3]=>[6,2,4,1,5,3]=>4
[6,2,4,3,1,5,7]=>[6,2,4,3,1,5]=>2
[6,2,4,3,1,7,5]=>[6,2,4,3,1,5]=>2
[6,2,4,3,5,1,7]=>[6,2,4,3,5,1]=>4
[6,2,4,3,5,7,1]=>[6,2,4,3,5,1]=>4
[6,2,4,3,7,1,5]=>[6,2,4,3,1,5]=>2
[6,2,4,3,7,5,1]=>[6,2,4,3,5,1]=>4
[6,2,4,5,1,3,7]=>[6,2,4,5,1,3]=>6
[6,2,4,5,1,7,3]=>[6,2,4,5,1,3]=>6
[6,2,4,5,3,1,7]=>[6,2,4,5,3,1]=>4
[6,2,4,5,3,7,1]=>[6,2,4,5,3,1]=>4
[6,2,4,5,7,1,3]=>[6,2,4,5,1,3]=>6
[6,2,4,5,7,3,1]=>[6,2,4,5,3,1]=>4
[6,2,4,7,1,3,5]=>[6,2,4,1,3,5]=>2
[6,2,4,7,1,5,3]=>[6,2,4,1,5,3]=>4
[6,2,4,7,3,1,5]=>[6,2,4,3,1,5]=>2
[6,2,4,7,3,5,1]=>[6,2,4,3,5,1]=>4
[6,2,4,7,5,1,3]=>[6,2,4,5,1,3]=>6
[6,2,4,7,5,3,1]=>[6,2,4,5,3,1]=>4
[6,2,5,1,3,4,7]=>[6,2,5,1,3,4]=>2
[6,2,5,1,3,7,4]=>[6,2,5,1,3,4]=>2
[6,2,5,1,4,3,7]=>[6,2,5,1,4,3]=>2
[6,2,5,1,4,7,3]=>[6,2,5,1,4,3]=>2
[6,2,5,1,7,3,4]=>[6,2,5,1,3,4]=>2
[6,2,5,1,7,4,3]=>[6,2,5,1,4,3]=>2
[6,2,5,3,1,4,7]=>[6,2,5,3,1,4]=>2
[6,2,5,3,1,7,4]=>[6,2,5,3,1,4]=>2
[6,2,5,3,4,1,7]=>[6,2,5,3,4,1]=>4
[6,2,5,3,4,7,1]=>[6,2,5,3,4,1]=>4
[6,2,5,3,7,1,4]=>[6,2,5,3,1,4]=>2
[6,2,5,3,7,4,1]=>[6,2,5,3,4,1]=>4
[6,2,5,4,1,3,7]=>[6,2,5,4,1,3]=>2
[6,2,5,4,1,7,3]=>[6,2,5,4,1,3]=>2
[6,2,5,4,3,1,7]=>[6,2,5,4,3,1]=>2
[6,2,5,4,3,7,1]=>[6,2,5,4,3,1]=>2
[6,2,5,4,7,1,3]=>[6,2,5,4,1,3]=>2
[6,2,5,4,7,3,1]=>[6,2,5,4,3,1]=>2
[6,2,5,7,1,3,4]=>[6,2,5,1,3,4]=>2
[6,2,5,7,1,4,3]=>[6,2,5,1,4,3]=>2
[6,2,5,7,3,1,4]=>[6,2,5,3,1,4]=>2
[6,2,5,7,3,4,1]=>[6,2,5,3,4,1]=>4
[6,2,5,7,4,1,3]=>[6,2,5,4,1,3]=>2
[6,2,5,7,4,3,1]=>[6,2,5,4,3,1]=>2
[6,2,7,1,3,4,5]=>[6,2,1,3,4,5]=>1
[6,2,7,1,3,5,4]=>[6,2,1,3,5,4]=>1
[6,2,7,1,4,3,5]=>[6,2,1,4,3,5]=>1
[6,2,7,1,4,5,3]=>[6,2,1,4,5,3]=>2
[6,2,7,1,5,3,4]=>[6,2,1,5,3,4]=>1
[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>1
[6,2,7,3,1,4,5]=>[6,2,3,1,4,5]=>2
[6,2,7,3,1,5,4]=>[6,2,3,1,5,4]=>2
[6,2,7,3,4,1,5]=>[6,2,3,4,1,5]=>4
[6,2,7,3,4,5,1]=>[6,2,3,4,5,1]=>8
[6,2,7,3,5,1,4]=>[6,2,3,5,1,4]=>4
[6,2,7,3,5,4,1]=>[6,2,3,5,4,1]=>4
[6,2,7,4,1,3,5]=>[6,2,4,1,3,5]=>2
[6,2,7,4,1,5,3]=>[6,2,4,1,5,3]=>4
[6,2,7,4,3,1,5]=>[6,2,4,3,1,5]=>2
[6,2,7,4,3,5,1]=>[6,2,4,3,5,1]=>4
[6,2,7,4,5,1,3]=>[6,2,4,5,1,3]=>6
[6,2,7,4,5,3,1]=>[6,2,4,5,3,1]=>4
[6,2,7,5,1,3,4]=>[6,2,5,1,3,4]=>2
[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>2
[6,2,7,5,3,1,4]=>[6,2,5,3,1,4]=>2
[6,2,7,5,3,4,1]=>[6,2,5,3,4,1]=>4
[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>2
[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>2
[6,3,1,2,4,5,7]=>[6,3,1,2,4,5]=>1
[6,3,1,2,4,7,5]=>[6,3,1,2,4,5]=>1
[6,3,1,2,5,4,7]=>[6,3,1,2,5,4]=>1
[6,3,1,2,5,7,4]=>[6,3,1,2,5,4]=>1
[6,3,1,2,7,4,5]=>[6,3,1,2,4,5]=>1
[6,3,1,2,7,5,4]=>[6,3,1,2,5,4]=>1
[6,3,1,4,2,5,7]=>[6,3,1,4,2,5]=>2
[6,3,1,4,2,7,5]=>[6,3,1,4,2,5]=>2
[6,3,1,4,5,2,7]=>[6,3,1,4,5,2]=>4
[6,3,1,4,5,7,2]=>[6,3,1,4,5,2]=>4
[6,3,1,4,7,2,5]=>[6,3,1,4,2,5]=>2
[6,3,1,4,7,5,2]=>[6,3,1,4,5,2]=>4
[6,3,1,5,2,4,7]=>[6,3,1,5,2,4]=>2
[6,3,1,5,2,7,4]=>[6,3,1,5,2,4]=>2
[6,3,1,5,4,2,7]=>[6,3,1,5,4,2]=>2
[6,3,1,5,4,7,2]=>[6,3,1,5,4,2]=>2
[6,3,1,5,7,2,4]=>[6,3,1,5,2,4]=>2
[6,3,1,5,7,4,2]=>[6,3,1,5,4,2]=>2
[6,3,1,7,2,4,5]=>[6,3,1,2,4,5]=>1
[6,3,1,7,2,5,4]=>[6,3,1,2,5,4]=>1
[6,3,1,7,4,2,5]=>[6,3,1,4,2,5]=>2
[6,3,1,7,4,5,2]=>[6,3,1,4,5,2]=>4
[6,3,1,7,5,2,4]=>[6,3,1,5,2,4]=>2
[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>2
[6,3,2,1,4,5,7]=>[6,3,2,1,4,5]=>1
[6,3,2,1,4,7,5]=>[6,3,2,1,4,5]=>1
[6,3,2,1,5,4,7]=>[6,3,2,1,5,4]=>1
[6,3,2,1,5,7,4]=>[6,3,2,1,5,4]=>1
[6,3,2,1,7,4,5]=>[6,3,2,1,4,5]=>1
[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>1
[6,3,2,4,1,5,7]=>[6,3,2,4,1,5]=>2
[6,3,2,4,1,7,5]=>[6,3,2,4,1,5]=>2
[6,3,2,4,5,1,7]=>[6,3,2,4,5,1]=>4
[6,3,2,4,5,7,1]=>[6,3,2,4,5,1]=>4
[6,3,2,4,7,1,5]=>[6,3,2,4,1,5]=>2
[6,3,2,4,7,5,1]=>[6,3,2,4,5,1]=>4
[6,3,2,5,1,4,7]=>[6,3,2,5,1,4]=>2
[6,3,2,5,1,7,4]=>[6,3,2,5,1,4]=>2
[6,3,2,5,4,1,7]=>[6,3,2,5,4,1]=>3
[6,3,2,5,4,7,1]=>[6,3,2,5,4,1]=>3
[6,3,2,5,7,1,4]=>[6,3,2,5,1,4]=>2
[6,3,2,5,7,4,1]=>[6,3,2,5,4,1]=>3
[6,3,2,7,1,4,5]=>[6,3,2,1,4,5]=>1
[6,3,2,7,1,5,4]=>[6,3,2,1,5,4]=>1
[6,3,2,7,4,1,5]=>[6,3,2,4,1,5]=>2
[6,3,2,7,4,5,1]=>[6,3,2,4,5,1]=>4
[6,3,2,7,5,1,4]=>[6,3,2,5,1,4]=>2
[6,3,2,7,5,4,1]=>[6,3,2,5,4,1]=>3
[6,3,4,1,2,5,7]=>[6,3,4,1,2,5]=>3
[6,3,4,1,2,7,5]=>[6,3,4,1,2,5]=>3
[6,3,4,1,5,2,7]=>[6,3,4,1,5,2]=>6
[6,3,4,1,5,7,2]=>[6,3,4,1,5,2]=>6
[6,3,4,1,7,2,5]=>[6,3,4,1,2,5]=>3
[6,3,4,1,7,5,2]=>[6,3,4,1,5,2]=>6
[6,3,4,2,1,5,7]=>[6,3,4,2,1,5]=>2
[6,3,4,2,1,7,5]=>[6,3,4,2,1,5]=>2
[6,3,4,2,5,1,7]=>[6,3,4,2,5,1]=>4
[6,3,4,2,5,7,1]=>[6,3,4,2,5,1]=>4
[6,3,4,2,7,1,5]=>[6,3,4,2,1,5]=>2
[6,3,4,2,7,5,1]=>[6,3,4,2,5,1]=>4
[6,3,4,5,1,2,7]=>[6,3,4,5,1,2]=>9
[6,3,4,5,1,7,2]=>[6,3,4,5,1,2]=>9
[6,3,4,5,2,1,7]=>[6,3,4,5,2,1]=>4
[6,3,4,5,2,7,1]=>[6,3,4,5,2,1]=>4
[6,3,4,5,7,1,2]=>[6,3,4,5,1,2]=>9
[6,3,4,5,7,2,1]=>[6,3,4,5,2,1]=>4
[6,3,4,7,1,2,5]=>[6,3,4,1,2,5]=>3
[6,3,4,7,1,5,2]=>[6,3,4,1,5,2]=>6
[6,3,4,7,2,1,5]=>[6,3,4,2,1,5]=>2
[6,3,4,7,2,5,1]=>[6,3,4,2,5,1]=>4
[6,3,4,7,5,1,2]=>[6,3,4,5,1,2]=>9
[6,3,4,7,5,2,1]=>[6,3,4,5,2,1]=>4
[6,3,5,1,2,4,7]=>[6,3,5,1,2,4]=>3
[6,3,5,1,2,7,4]=>[6,3,5,1,2,4]=>3
[6,3,5,1,4,2,7]=>[6,3,5,1,4,2]=>3
[6,3,5,1,4,7,2]=>[6,3,5,1,4,2]=>3
[6,3,5,1,7,2,4]=>[6,3,5,1,2,4]=>3
[6,3,5,1,7,4,2]=>[6,3,5,1,4,2]=>3
[6,3,5,2,1,4,7]=>[6,3,5,2,1,4]=>2
[6,3,5,2,1,7,4]=>[6,3,5,2,1,4]=>2
[6,3,5,2,4,1,7]=>[6,3,5,2,4,1]=>4
[6,3,5,2,4,7,1]=>[6,3,5,2,4,1]=>4
[6,3,5,2,7,1,4]=>[6,3,5,2,1,4]=>2
[6,3,5,2,7,4,1]=>[6,3,5,2,4,1]=>4
[6,3,5,4,1,2,7]=>[6,3,5,4,1,2]=>3
[6,3,5,4,1,7,2]=>[6,3,5,4,1,2]=>3
[6,3,5,4,2,1,7]=>[6,3,5,4,2,1]=>2
[6,3,5,4,2,7,1]=>[6,3,5,4,2,1]=>2
[6,3,5,4,7,1,2]=>[6,3,5,4,1,2]=>3
[6,3,5,4,7,2,1]=>[6,3,5,4,2,1]=>2
[6,3,5,7,1,2,4]=>[6,3,5,1,2,4]=>3
[6,3,5,7,1,4,2]=>[6,3,5,1,4,2]=>3
[6,3,5,7,2,1,4]=>[6,3,5,2,1,4]=>2
[6,3,5,7,2,4,1]=>[6,3,5,2,4,1]=>4
[6,3,5,7,4,1,2]=>[6,3,5,4,1,2]=>3
[6,3,5,7,4,2,1]=>[6,3,5,4,2,1]=>2
[6,3,7,1,2,4,5]=>[6,3,1,2,4,5]=>1
[6,3,7,1,2,5,4]=>[6,3,1,2,5,4]=>1
[6,3,7,1,4,2,5]=>[6,3,1,4,2,5]=>2
[6,3,7,1,4,5,2]=>[6,3,1,4,5,2]=>4
[6,3,7,1,5,2,4]=>[6,3,1,5,2,4]=>2
[6,3,7,1,5,4,2]=>[6,3,1,5,4,2]=>2
[6,3,7,2,1,4,5]=>[6,3,2,1,4,5]=>1
[6,3,7,2,1,5,4]=>[6,3,2,1,5,4]=>1
[6,3,7,2,4,1,5]=>[6,3,2,4,1,5]=>2
[6,3,7,2,4,5,1]=>[6,3,2,4,5,1]=>4
[6,3,7,2,5,1,4]=>[6,3,2,5,1,4]=>2
[6,3,7,2,5,4,1]=>[6,3,2,5,4,1]=>3
[6,3,7,4,1,2,5]=>[6,3,4,1,2,5]=>3
[6,3,7,4,1,5,2]=>[6,3,4,1,5,2]=>6
[6,3,7,4,2,1,5]=>[6,3,4,2,1,5]=>2
[6,3,7,4,2,5,1]=>[6,3,4,2,5,1]=>4
[6,3,7,4,5,1,2]=>[6,3,4,5,1,2]=>9
[6,3,7,4,5,2,1]=>[6,3,4,5,2,1]=>4
[6,3,7,5,1,2,4]=>[6,3,5,1,2,4]=>3
[6,3,7,5,1,4,2]=>[6,3,5,1,4,2]=>3
[6,3,7,5,2,1,4]=>[6,3,5,2,1,4]=>2
[6,3,7,5,2,4,1]=>[6,3,5,2,4,1]=>4
[6,3,7,5,4,1,2]=>[6,3,5,4,1,2]=>3
[6,3,7,5,4,2,1]=>[6,3,5,4,2,1]=>2
[6,4,1,2,3,5,7]=>[6,4,1,2,3,5]=>1
[6,4,1,2,3,7,5]=>[6,4,1,2,3,5]=>1
[6,4,1,2,5,3,7]=>[6,4,1,2,5,3]=>2
[6,4,1,2,5,7,3]=>[6,4,1,2,5,3]=>2
[6,4,1,2,7,3,5]=>[6,4,1,2,3,5]=>1
[6,4,1,2,7,5,3]=>[6,4,1,2,5,3]=>2
[6,4,1,3,2,5,7]=>[6,4,1,3,2,5]=>1
[6,4,1,3,2,7,5]=>[6,4,1,3,2,5]=>1
[6,4,1,3,5,2,7]=>[6,4,1,3,5,2]=>2
[6,4,1,3,5,7,2]=>[6,4,1,3,5,2]=>2
[6,4,1,3,7,2,5]=>[6,4,1,3,2,5]=>1
[6,4,1,3,7,5,2]=>[6,4,1,3,5,2]=>2
[6,4,1,5,2,3,7]=>[6,4,1,5,2,3]=>3
[6,4,1,5,2,7,3]=>[6,4,1,5,2,3]=>3
[6,4,1,5,3,2,7]=>[6,4,1,5,3,2]=>2
[6,4,1,5,3,7,2]=>[6,4,1,5,3,2]=>2
[6,4,1,5,7,2,3]=>[6,4,1,5,2,3]=>3
[6,4,1,5,7,3,2]=>[6,4,1,5,3,2]=>2
[6,4,1,7,2,3,5]=>[6,4,1,2,3,5]=>1
[6,4,1,7,2,5,3]=>[6,4,1,2,5,3]=>2
[6,4,1,7,3,2,5]=>[6,4,1,3,2,5]=>1
[6,4,1,7,3,5,2]=>[6,4,1,3,5,2]=>2
[6,4,1,7,5,2,3]=>[6,4,1,5,2,3]=>3
[6,4,1,7,5,3,2]=>[6,4,1,5,3,2]=>2
[6,4,2,1,3,5,7]=>[6,4,2,1,3,5]=>1
[6,4,2,1,3,7,5]=>[6,4,2,1,3,5]=>1
[6,4,2,1,5,3,7]=>[6,4,2,1,5,3]=>2
[6,4,2,1,5,7,3]=>[6,4,2,1,5,3]=>2
[6,4,2,1,7,3,5]=>[6,4,2,1,3,5]=>1
[6,4,2,1,7,5,3]=>[6,4,2,1,5,3]=>2
[6,4,2,3,1,5,7]=>[6,4,2,3,1,5]=>2
[6,4,2,3,1,7,5]=>[6,4,2,3,1,5]=>2
[6,4,2,3,5,1,7]=>[6,4,2,3,5,1]=>4
[6,4,2,3,5,7,1]=>[6,4,2,3,5,1]=>4
[6,4,2,3,7,1,5]=>[6,4,2,3,1,5]=>2
[6,4,2,3,7,5,1]=>[6,4,2,3,5,1]=>4
[6,4,2,5,1,3,7]=>[6,4,2,5,1,3]=>3
[6,4,2,5,1,7,3]=>[6,4,2,5,1,3]=>3
[6,4,2,5,3,1,7]=>[6,4,2,5,3,1]=>4
[6,4,2,5,3,7,1]=>[6,4,2,5,3,1]=>4
[6,4,2,5,7,1,3]=>[6,4,2,5,1,3]=>3
[6,4,2,5,7,3,1]=>[6,4,2,5,3,1]=>4
[6,4,2,7,1,3,5]=>[6,4,2,1,3,5]=>1
[6,4,2,7,1,5,3]=>[6,4,2,1,5,3]=>2
[6,4,2,7,3,1,5]=>[6,4,2,3,1,5]=>2
[6,4,2,7,3,5,1]=>[6,4,2,3,5,1]=>4
[6,4,2,7,5,1,3]=>[6,4,2,5,1,3]=>3
[6,4,2,7,5,3,1]=>[6,4,2,5,3,1]=>4
[6,4,3,1,2,5,7]=>[6,4,3,1,2,5]=>1
[6,4,3,1,2,7,5]=>[6,4,3,1,2,5]=>1
[6,4,3,1,5,2,7]=>[6,4,3,1,5,2]=>2
[6,4,3,1,5,7,2]=>[6,4,3,1,5,2]=>2
[6,4,3,1,7,2,5]=>[6,4,3,1,2,5]=>1
[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>2
[6,4,3,2,1,5,7]=>[6,4,3,2,1,5]=>1
[6,4,3,2,1,7,5]=>[6,4,3,2,1,5]=>1
[6,4,3,2,5,1,7]=>[6,4,3,2,5,1]=>2
[6,4,3,2,5,7,1]=>[6,4,3,2,5,1]=>2
[6,4,3,2,7,1,5]=>[6,4,3,2,1,5]=>1
[6,4,3,2,7,5,1]=>[6,4,3,2,5,1]=>2
[6,4,3,5,1,2,7]=>[6,4,3,5,1,2]=>3
[6,4,3,5,1,7,2]=>[6,4,3,5,1,2]=>3
[6,4,3,5,2,1,7]=>[6,4,3,5,2,1]=>2
[6,4,3,5,2,7,1]=>[6,4,3,5,2,1]=>2
[6,4,3,5,7,1,2]=>[6,4,3,5,1,2]=>3
[6,4,3,5,7,2,1]=>[6,4,3,5,2,1]=>2
[6,4,3,7,1,2,5]=>[6,4,3,1,2,5]=>1
[6,4,3,7,1,5,2]=>[6,4,3,1,5,2]=>2
[6,4,3,7,2,1,5]=>[6,4,3,2,1,5]=>1
[6,4,3,7,2,5,1]=>[6,4,3,2,5,1]=>2
[6,4,3,7,5,1,2]=>[6,4,3,5,1,2]=>3
[6,4,3,7,5,2,1]=>[6,4,3,5,2,1]=>2
[6,4,5,1,2,3,7]=>[6,4,5,1,2,3]=>6
[6,4,5,1,2,7,3]=>[6,4,5,1,2,3]=>6
[6,4,5,1,3,2,7]=>[6,4,5,1,3,2]=>4
[6,4,5,1,3,7,2]=>[6,4,5,1,3,2]=>4
[6,4,5,1,7,2,3]=>[6,4,5,1,2,3]=>6
[6,4,5,1,7,3,2]=>[6,4,5,1,3,2]=>4
[6,4,5,2,1,3,7]=>[6,4,5,2,1,3]=>4
[6,4,5,2,1,7,3]=>[6,4,5,2,1,3]=>4
[6,4,5,2,3,1,7]=>[6,4,5,2,3,1]=>8
[6,4,5,2,3,7,1]=>[6,4,5,2,3,1]=>8
[6,4,5,2,7,1,3]=>[6,4,5,2,1,3]=>4
[6,4,5,2,7,3,1]=>[6,4,5,2,3,1]=>8
[6,4,5,3,1,2,7]=>[6,4,5,3,1,2]=>3
[6,4,5,3,1,7,2]=>[6,4,5,3,1,2]=>3
[6,4,5,3,2,1,7]=>[6,4,5,3,2,1]=>2
[6,4,5,3,2,7,1]=>[6,4,5,3,2,1]=>2
[6,4,5,3,7,1,2]=>[6,4,5,3,1,2]=>3
[6,4,5,3,7,2,1]=>[6,4,5,3,2,1]=>2
[6,4,5,7,1,2,3]=>[6,4,5,1,2,3]=>6
[6,4,5,7,1,3,2]=>[6,4,5,1,3,2]=>4
[6,4,5,7,2,1,3]=>[6,4,5,2,1,3]=>4
[6,4,5,7,2,3,1]=>[6,4,5,2,3,1]=>8
[6,4,5,7,3,1,2]=>[6,4,5,3,1,2]=>3
[6,4,5,7,3,2,1]=>[6,4,5,3,2,1]=>2
[6,4,7,1,2,3,5]=>[6,4,1,2,3,5]=>1
[6,4,7,1,2,5,3]=>[6,4,1,2,5,3]=>2
[6,4,7,1,3,2,5]=>[6,4,1,3,2,5]=>1
[6,4,7,1,3,5,2]=>[6,4,1,3,5,2]=>2
[6,4,7,1,5,2,3]=>[6,4,1,5,2,3]=>3
[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>2
[6,4,7,2,1,3,5]=>[6,4,2,1,3,5]=>1
[6,4,7,2,1,5,3]=>[6,4,2,1,5,3]=>2
[6,4,7,2,3,1,5]=>[6,4,2,3,1,5]=>2
[6,4,7,2,3,5,1]=>[6,4,2,3,5,1]=>4
[6,4,7,2,5,1,3]=>[6,4,2,5,1,3]=>3
[6,4,7,2,5,3,1]=>[6,4,2,5,3,1]=>4
[6,4,7,3,1,2,5]=>[6,4,3,1,2,5]=>1
[6,4,7,3,1,5,2]=>[6,4,3,1,5,2]=>2
[6,4,7,3,2,1,5]=>[6,4,3,2,1,5]=>1
[6,4,7,3,2,5,1]=>[6,4,3,2,5,1]=>2
[6,4,7,3,5,1,2]=>[6,4,3,5,1,2]=>3
[6,4,7,3,5,2,1]=>[6,4,3,5,2,1]=>2
[6,4,7,5,1,2,3]=>[6,4,5,1,2,3]=>6
[6,4,7,5,1,3,2]=>[6,4,5,1,3,2]=>4
[6,4,7,5,2,1,3]=>[6,4,5,2,1,3]=>4
[6,4,7,5,2,3,1]=>[6,4,5,2,3,1]=>8
[6,4,7,5,3,1,2]=>[6,4,5,3,1,2]=>3
[6,4,7,5,3,2,1]=>[6,4,5,3,2,1]=>2
[6,5,1,2,3,4,7]=>[6,5,1,2,3,4]=>1
[6,5,1,2,3,7,4]=>[6,5,1,2,3,4]=>1
[6,5,1,2,4,3,7]=>[6,5,1,2,4,3]=>1
[6,5,1,2,4,7,3]=>[6,5,1,2,4,3]=>1
[6,5,1,2,7,3,4]=>[6,5,1,2,3,4]=>1
[6,5,1,2,7,4,3]=>[6,5,1,2,4,3]=>1
[6,5,1,3,2,4,7]=>[6,5,1,3,2,4]=>1
[6,5,1,3,2,7,4]=>[6,5,1,3,2,4]=>1
[6,5,1,3,4,2,7]=>[6,5,1,3,4,2]=>2
[6,5,1,3,4,7,2]=>[6,5,1,3,4,2]=>2
[6,5,1,3,7,2,4]=>[6,5,1,3,2,4]=>1
[6,5,1,3,7,4,2]=>[6,5,1,3,4,2]=>2
[6,5,1,4,2,3,7]=>[6,5,1,4,2,3]=>1
[6,5,1,4,2,7,3]=>[6,5,1,4,2,3]=>1
[6,5,1,4,3,2,7]=>[6,5,1,4,3,2]=>1
[6,5,1,4,3,7,2]=>[6,5,1,4,3,2]=>1
[6,5,1,4,7,2,3]=>[6,5,1,4,2,3]=>1
[6,5,1,4,7,3,2]=>[6,5,1,4,3,2]=>1
[6,5,1,7,2,3,4]=>[6,5,1,2,3,4]=>1
[6,5,1,7,2,4,3]=>[6,5,1,2,4,3]=>1
[6,5,1,7,3,2,4]=>[6,5,1,3,2,4]=>1
[6,5,1,7,3,4,2]=>[6,5,1,3,4,2]=>2
[6,5,1,7,4,2,3]=>[6,5,1,4,2,3]=>1
[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>1
[6,5,2,1,3,4,7]=>[6,5,2,1,3,4]=>1
[6,5,2,1,3,7,4]=>[6,5,2,1,3,4]=>1
[6,5,2,1,4,3,7]=>[6,5,2,1,4,3]=>1
[6,5,2,1,4,7,3]=>[6,5,2,1,4,3]=>1
[6,5,2,1,7,3,4]=>[6,5,2,1,3,4]=>1
[6,5,2,1,7,4,3]=>[6,5,2,1,4,3]=>1
[6,5,2,3,1,4,7]=>[6,5,2,3,1,4]=>2
[6,5,2,3,1,7,4]=>[6,5,2,3,1,4]=>2
[6,5,2,3,4,1,7]=>[6,5,2,3,4,1]=>4
[6,5,2,3,4,7,1]=>[6,5,2,3,4,1]=>4
[6,5,2,3,7,1,4]=>[6,5,2,3,1,4]=>2
[6,5,2,3,7,4,1]=>[6,5,2,3,4,1]=>4
[6,5,2,4,1,3,7]=>[6,5,2,4,1,3]=>2
[6,5,2,4,1,7,3]=>[6,5,2,4,1,3]=>2
[6,5,2,4,3,1,7]=>[6,5,2,4,3,1]=>2
[6,5,2,4,3,7,1]=>[6,5,2,4,3,1]=>2
[6,5,2,4,7,1,3]=>[6,5,2,4,1,3]=>2
[6,5,2,4,7,3,1]=>[6,5,2,4,3,1]=>2
[6,5,2,7,1,3,4]=>[6,5,2,1,3,4]=>1
[6,5,2,7,1,4,3]=>[6,5,2,1,4,3]=>1
[6,5,2,7,3,1,4]=>[6,5,2,3,1,4]=>2
[6,5,2,7,3,4,1]=>[6,5,2,3,4,1]=>4
[6,5,2,7,4,1,3]=>[6,5,2,4,1,3]=>2
[6,5,2,7,4,3,1]=>[6,5,2,4,3,1]=>2
[6,5,3,1,2,4,7]=>[6,5,3,1,2,4]=>1
[6,5,3,1,2,7,4]=>[6,5,3,1,2,4]=>1
[6,5,3,1,4,2,7]=>[6,5,3,1,4,2]=>2
[6,5,3,1,4,7,2]=>[6,5,3,1,4,2]=>2
[6,5,3,1,7,2,4]=>[6,5,3,1,2,4]=>1
[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>2
[6,5,3,2,1,4,7]=>[6,5,3,2,1,4]=>1
[6,5,3,2,1,7,4]=>[6,5,3,2,1,4]=>1
[6,5,3,2,4,1,7]=>[6,5,3,2,4,1]=>2
[6,5,3,2,4,7,1]=>[6,5,3,2,4,1]=>2
[6,5,3,2,7,1,4]=>[6,5,3,2,1,4]=>1
[6,5,3,2,7,4,1]=>[6,5,3,2,4,1]=>2
[6,5,3,4,1,2,7]=>[6,5,3,4,1,2]=>4
[6,5,3,4,1,7,2]=>[6,5,3,4,1,2]=>4
[6,5,3,4,2,1,7]=>[6,5,3,4,2,1]=>3
[6,5,3,4,2,7,1]=>[6,5,3,4,2,1]=>3
[6,5,3,4,7,1,2]=>[6,5,3,4,1,2]=>4
[6,5,3,4,7,2,1]=>[6,5,3,4,2,1]=>3
[6,5,3,7,1,2,4]=>[6,5,3,1,2,4]=>1
[6,5,3,7,1,4,2]=>[6,5,3,1,4,2]=>2
[6,5,3,7,2,1,4]=>[6,5,3,2,1,4]=>1
[6,5,3,7,2,4,1]=>[6,5,3,2,4,1]=>2
[6,5,3,7,4,1,2]=>[6,5,3,4,1,2]=>4
[6,5,3,7,4,2,1]=>[6,5,3,4,2,1]=>3
[6,5,4,1,2,3,7]=>[6,5,4,1,2,3]=>1
[6,5,4,1,2,7,3]=>[6,5,4,1,2,3]=>1
[6,5,4,1,3,2,7]=>[6,5,4,1,3,2]=>1
[6,5,4,1,3,7,2]=>[6,5,4,1,3,2]=>1
[6,5,4,1,7,2,3]=>[6,5,4,1,2,3]=>1
[6,5,4,1,7,3,2]=>[6,5,4,1,3,2]=>1
[6,5,4,2,1,3,7]=>[6,5,4,2,1,3]=>1
[6,5,4,2,1,7,3]=>[6,5,4,2,1,3]=>1
[6,5,4,2,3,1,7]=>[6,5,4,2,3,1]=>2
[6,5,4,2,3,7,1]=>[6,5,4,2,3,1]=>2
[6,5,4,2,7,1,3]=>[6,5,4,2,1,3]=>1
[6,5,4,2,7,3,1]=>[6,5,4,2,3,1]=>2
[6,5,4,3,1,2,7]=>[6,5,4,3,1,2]=>1
[6,5,4,3,1,7,2]=>[6,5,4,3,1,2]=>1
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1]=>1
[6,5,4,3,2,7,1]=>[6,5,4,3,2,1]=>1
[6,5,4,3,7,1,2]=>[6,5,4,3,1,2]=>1
[6,5,4,3,7,2,1]=>[6,5,4,3,2,1]=>1
[6,5,4,7,1,2,3]=>[6,5,4,1,2,3]=>1
[6,5,4,7,1,3,2]=>[6,5,4,1,3,2]=>1
[6,5,4,7,2,1,3]=>[6,5,4,2,1,3]=>1
[6,5,4,7,2,3,1]=>[6,5,4,2,3,1]=>2
[6,5,4,7,3,1,2]=>[6,5,4,3,1,2]=>1
[6,5,4,7,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,7,1,2,3,4]=>[6,5,1,2,3,4]=>1
[6,5,7,1,2,4,3]=>[6,5,1,2,4,3]=>1
[6,5,7,1,3,2,4]=>[6,5,1,3,2,4]=>1
[6,5,7,1,3,4,2]=>[6,5,1,3,4,2]=>2
[6,5,7,1,4,2,3]=>[6,5,1,4,2,3]=>1
[6,5,7,1,4,3,2]=>[6,5,1,4,3,2]=>1
[6,5,7,2,1,3,4]=>[6,5,2,1,3,4]=>1
[6,5,7,2,1,4,3]=>[6,5,2,1,4,3]=>1
[6,5,7,2,3,1,4]=>[6,5,2,3,1,4]=>2
[6,5,7,2,3,4,1]=>[6,5,2,3,4,1]=>4
[6,5,7,2,4,1,3]=>[6,5,2,4,1,3]=>2
[6,5,7,2,4,3,1]=>[6,5,2,4,3,1]=>2
[6,5,7,3,1,2,4]=>[6,5,3,1,2,4]=>1
[6,5,7,3,1,4,2]=>[6,5,3,1,4,2]=>2
[6,5,7,3,2,1,4]=>[6,5,3,2,1,4]=>1
[6,5,7,3,2,4,1]=>[6,5,3,2,4,1]=>2
[6,5,7,3,4,1,2]=>[6,5,3,4,1,2]=>4
[6,5,7,3,4,2,1]=>[6,5,3,4,2,1]=>3
[6,5,7,4,1,2,3]=>[6,5,4,1,2,3]=>1
[6,5,7,4,1,3,2]=>[6,5,4,1,3,2]=>1
[6,5,7,4,2,1,3]=>[6,5,4,2,1,3]=>1
[6,5,7,4,2,3,1]=>[6,5,4,2,3,1]=>2
[6,5,7,4,3,1,2]=>[6,5,4,3,1,2]=>1
[6,5,7,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,7,1,2,3,4,5]=>[6,1,2,3,4,5]=>1
[6,7,1,2,3,5,4]=>[6,1,2,3,5,4]=>1
[6,7,1,2,4,3,5]=>[6,1,2,4,3,5]=>1
[6,7,1,2,4,5,3]=>[6,1,2,4,5,3]=>2
[6,7,1,2,5,3,4]=>[6,1,2,5,3,4]=>1
[6,7,1,2,5,4,3]=>[6,1,2,5,4,3]=>1
[6,7,1,3,2,4,5]=>[6,1,3,2,4,5]=>1
[6,7,1,3,2,5,4]=>[6,1,3,2,5,4]=>1
[6,7,1,3,4,2,5]=>[6,1,3,4,2,5]=>2
[6,7,1,3,4,5,2]=>[6,1,3,4,5,2]=>4
[6,7,1,3,5,2,4]=>[6,1,3,5,2,4]=>2
[6,7,1,3,5,4,2]=>[6,1,3,5,4,2]=>2
[6,7,1,4,2,3,5]=>[6,1,4,2,3,5]=>1
[6,7,1,4,2,5,3]=>[6,1,4,2,5,3]=>2
[6,7,1,4,3,2,5]=>[6,1,4,3,2,5]=>1
[6,7,1,4,3,5,2]=>[6,1,4,3,5,2]=>2
[6,7,1,4,5,2,3]=>[6,1,4,5,2,3]=>3
[6,7,1,4,5,3,2]=>[6,1,4,5,3,2]=>2
[6,7,1,5,2,3,4]=>[6,1,5,2,3,4]=>1
[6,7,1,5,2,4,3]=>[6,1,5,2,4,3]=>1
[6,7,1,5,3,2,4]=>[6,1,5,3,2,4]=>1
[6,7,1,5,3,4,2]=>[6,1,5,3,4,2]=>2
[6,7,1,5,4,2,3]=>[6,1,5,4,2,3]=>1
[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>1
[6,7,2,1,3,4,5]=>[6,2,1,3,4,5]=>1
[6,7,2,1,3,5,4]=>[6,2,1,3,5,4]=>1
[6,7,2,1,4,3,5]=>[6,2,1,4,3,5]=>1
[6,7,2,1,4,5,3]=>[6,2,1,4,5,3]=>2
[6,7,2,1,5,3,4]=>[6,2,1,5,3,4]=>1
[6,7,2,1,5,4,3]=>[6,2,1,5,4,3]=>1
[6,7,2,3,1,4,5]=>[6,2,3,1,4,5]=>2
[6,7,2,3,1,5,4]=>[6,2,3,1,5,4]=>2
[6,7,2,3,4,1,5]=>[6,2,3,4,1,5]=>4
[6,7,2,3,4,5,1]=>[6,2,3,4,5,1]=>8
[6,7,2,3,5,1,4]=>[6,2,3,5,1,4]=>4
[6,7,2,3,5,4,1]=>[6,2,3,5,4,1]=>4
[6,7,2,4,1,3,5]=>[6,2,4,1,3,5]=>2
[6,7,2,4,1,5,3]=>[6,2,4,1,5,3]=>4
[6,7,2,4,3,1,5]=>[6,2,4,3,1,5]=>2
[6,7,2,4,3,5,1]=>[6,2,4,3,5,1]=>4
[6,7,2,4,5,1,3]=>[6,2,4,5,1,3]=>6
[6,7,2,4,5,3,1]=>[6,2,4,5,3,1]=>4
[6,7,2,5,1,3,4]=>[6,2,5,1,3,4]=>2
[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>2
[6,7,2,5,3,1,4]=>[6,2,5,3,1,4]=>2
[6,7,2,5,3,4,1]=>[6,2,5,3,4,1]=>4
[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>2
[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>2
[6,7,3,1,2,4,5]=>[6,3,1,2,4,5]=>1
[6,7,3,1,2,5,4]=>[6,3,1,2,5,4]=>1
[6,7,3,1,4,2,5]=>[6,3,1,4,2,5]=>2
[6,7,3,1,4,5,2]=>[6,3,1,4,5,2]=>4
[6,7,3,1,5,2,4]=>[6,3,1,5,2,4]=>2
[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>2
[6,7,3,2,1,4,5]=>[6,3,2,1,4,5]=>1
[6,7,3,2,1,5,4]=>[6,3,2,1,5,4]=>1
[6,7,3,2,4,1,5]=>[6,3,2,4,1,5]=>2
[6,7,3,2,4,5,1]=>[6,3,2,4,5,1]=>4
[6,7,3,2,5,1,4]=>[6,3,2,5,1,4]=>2
[6,7,3,2,5,4,1]=>[6,3,2,5,4,1]=>3
[6,7,3,4,1,2,5]=>[6,3,4,1,2,5]=>3
[6,7,3,4,1,5,2]=>[6,3,4,1,5,2]=>6
[6,7,3,4,2,1,5]=>[6,3,4,2,1,5]=>2
[6,7,3,4,2,5,1]=>[6,3,4,2,5,1]=>4
[6,7,3,4,5,1,2]=>[6,3,4,5,1,2]=>9
[6,7,3,4,5,2,1]=>[6,3,4,5,2,1]=>4
[6,7,3,5,1,2,4]=>[6,3,5,1,2,4]=>3
[6,7,3,5,1,4,2]=>[6,3,5,1,4,2]=>3
[6,7,3,5,2,1,4]=>[6,3,5,2,1,4]=>2
[6,7,3,5,2,4,1]=>[6,3,5,2,4,1]=>4
[6,7,3,5,4,1,2]=>[6,3,5,4,1,2]=>3
[6,7,3,5,4,2,1]=>[6,3,5,4,2,1]=>2
[6,7,4,1,2,3,5]=>[6,4,1,2,3,5]=>1
[6,7,4,1,2,5,3]=>[6,4,1,2,5,3]=>2
[6,7,4,1,3,2,5]=>[6,4,1,3,2,5]=>1
[6,7,4,1,3,5,2]=>[6,4,1,3,5,2]=>2
[6,7,4,1,5,2,3]=>[6,4,1,5,2,3]=>3
[6,7,4,1,5,3,2]=>[6,4,1,5,3,2]=>2
[6,7,4,2,1,3,5]=>[6,4,2,1,3,5]=>1
[6,7,4,2,1,5,3]=>[6,4,2,1,5,3]=>2
[6,7,4,2,3,1,5]=>[6,4,2,3,1,5]=>2
[6,7,4,2,3,5,1]=>[6,4,2,3,5,1]=>4
[6,7,4,2,5,1,3]=>[6,4,2,5,1,3]=>3
[6,7,4,2,5,3,1]=>[6,4,2,5,3,1]=>4
[6,7,4,3,1,2,5]=>[6,4,3,1,2,5]=>1
[6,7,4,3,1,5,2]=>[6,4,3,1,5,2]=>2
[6,7,4,3,2,1,5]=>[6,4,3,2,1,5]=>1
[6,7,4,3,2,5,1]=>[6,4,3,2,5,1]=>2
[6,7,4,3,5,1,2]=>[6,4,3,5,1,2]=>3
[6,7,4,3,5,2,1]=>[6,4,3,5,2,1]=>2
[6,7,4,5,1,2,3]=>[6,4,5,1,2,3]=>6
[6,7,4,5,1,3,2]=>[6,4,5,1,3,2]=>4
[6,7,4,5,2,1,3]=>[6,4,5,2,1,3]=>4
[6,7,4,5,2,3,1]=>[6,4,5,2,3,1]=>8
[6,7,4,5,3,1,2]=>[6,4,5,3,1,2]=>3
[6,7,4,5,3,2,1]=>[6,4,5,3,2,1]=>2
[6,7,5,1,2,3,4]=>[6,5,1,2,3,4]=>1
[6,7,5,1,2,4,3]=>[6,5,1,2,4,3]=>1
[6,7,5,1,3,2,4]=>[6,5,1,3,2,4]=>1
[6,7,5,1,3,4,2]=>[6,5,1,3,4,2]=>2
[6,7,5,1,4,2,3]=>[6,5,1,4,2,3]=>1
[6,7,5,1,4,3,2]=>[6,5,1,4,3,2]=>1
[6,7,5,2,1,3,4]=>[6,5,2,1,3,4]=>1
[6,7,5,2,1,4,3]=>[6,5,2,1,4,3]=>1
[6,7,5,2,3,1,4]=>[6,5,2,3,1,4]=>2
[6,7,5,2,3,4,1]=>[6,5,2,3,4,1]=>4
[6,7,5,2,4,1,3]=>[6,5,2,4,1,3]=>2
[6,7,5,2,4,3,1]=>[6,5,2,4,3,1]=>2
[6,7,5,3,1,2,4]=>[6,5,3,1,2,4]=>1
[6,7,5,3,1,4,2]=>[6,5,3,1,4,2]=>2
[6,7,5,3,2,1,4]=>[6,5,3,2,1,4]=>1
[6,7,5,3,2,4,1]=>[6,5,3,2,4,1]=>2
[6,7,5,3,4,1,2]=>[6,5,3,4,1,2]=>4
[6,7,5,3,4,2,1]=>[6,5,3,4,2,1]=>3
[6,7,5,4,1,2,3]=>[6,5,4,1,2,3]=>1
[6,7,5,4,1,3,2]=>[6,5,4,1,3,2]=>1
[6,7,5,4,2,1,3]=>[6,5,4,2,1,3]=>1
[6,7,5,4,2,3,1]=>[6,5,4,2,3,1]=>2
[6,7,5,4,3,1,2]=>[6,5,4,3,1,2]=>1
[6,7,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6]=>1
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5]=>1
[7,1,2,3,5,4,6]=>[1,2,3,5,4,6]=>1
[7,1,2,3,5,6,4]=>[1,2,3,5,6,4]=>1
[7,1,2,3,6,4,5]=>[1,2,3,6,4,5]=>1
[7,1,2,3,6,5,4]=>[1,2,3,6,5,4]=>1
[7,1,2,4,3,5,6]=>[1,2,4,3,5,6]=>1
[7,1,2,4,3,6,5]=>[1,2,4,3,6,5]=>1
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6]=>1
[7,1,2,4,5,6,3]=>[1,2,4,5,6,3]=>1
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5]=>1
[7,1,2,4,6,5,3]=>[1,2,4,6,5,3]=>1
[7,1,2,5,3,4,6]=>[1,2,5,3,4,6]=>1
[7,1,2,5,3,6,4]=>[1,2,5,3,6,4]=>1
[7,1,2,5,4,3,6]=>[1,2,5,4,3,6]=>1
[7,1,2,5,4,6,3]=>[1,2,5,4,6,3]=>1
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4]=>2
[7,1,2,5,6,4,3]=>[1,2,5,6,4,3]=>1
[7,1,2,6,3,4,5]=>[1,2,6,3,4,5]=>1
[7,1,2,6,3,5,4]=>[1,2,6,3,5,4]=>1
[7,1,2,6,4,3,5]=>[1,2,6,4,3,5]=>1
[7,1,2,6,4,5,3]=>[1,2,6,4,5,3]=>2
[7,1,2,6,5,3,4]=>[1,2,6,5,3,4]=>1
[7,1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6]=>1
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5]=>1
[7,1,3,2,5,4,6]=>[1,3,2,5,4,6]=>1
[7,1,3,2,5,6,4]=>[1,3,2,5,6,4]=>1
[7,1,3,2,6,4,5]=>[1,3,2,6,4,5]=>1
[7,1,3,2,6,5,4]=>[1,3,2,6,5,4]=>1
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6]=>1
[7,1,3,4,2,6,5]=>[1,3,4,2,6,5]=>1
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6]=>1
[7,1,3,4,5,6,2]=>[1,3,4,5,6,2]=>1
[7,1,3,4,6,2,5]=>[1,3,4,6,2,5]=>1
[7,1,3,4,6,5,2]=>[1,3,4,6,5,2]=>1
[7,1,3,5,2,4,6]=>[1,3,5,2,4,6]=>1
[7,1,3,5,2,6,4]=>[1,3,5,2,6,4]=>1
[7,1,3,5,4,2,6]=>[1,3,5,4,2,6]=>1
[7,1,3,5,4,6,2]=>[1,3,5,4,6,2]=>1
[7,1,3,5,6,2,4]=>[1,3,5,6,2,4]=>2
[7,1,3,5,6,4,2]=>[1,3,5,6,4,2]=>1
[7,1,3,6,2,4,5]=>[1,3,6,2,4,5]=>1
[7,1,3,6,2,5,4]=>[1,3,6,2,5,4]=>1
[7,1,3,6,4,2,5]=>[1,3,6,4,2,5]=>1
[7,1,3,6,4,5,2]=>[1,3,6,4,5,2]=>2
[7,1,3,6,5,2,4]=>[1,3,6,5,2,4]=>1
[7,1,3,6,5,4,2]=>[1,3,6,5,4,2]=>1
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6]=>1
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5]=>1
[7,1,4,2,5,3,6]=>[1,4,2,5,3,6]=>1
[7,1,4,2,5,6,3]=>[1,4,2,5,6,3]=>1
[7,1,4,2,6,3,5]=>[1,4,2,6,3,5]=>1
[7,1,4,2,6,5,3]=>[1,4,2,6,5,3]=>1
[7,1,4,3,2,5,6]=>[1,4,3,2,5,6]=>1
[7,1,4,3,2,6,5]=>[1,4,3,2,6,5]=>1
[7,1,4,3,5,2,6]=>[1,4,3,5,2,6]=>1
[7,1,4,3,5,6,2]=>[1,4,3,5,6,2]=>1
[7,1,4,3,6,2,5]=>[1,4,3,6,2,5]=>1
[7,1,4,3,6,5,2]=>[1,4,3,6,5,2]=>1
[7,1,4,5,2,3,6]=>[1,4,5,2,3,6]=>2
[7,1,4,5,2,6,3]=>[1,4,5,2,6,3]=>2
[7,1,4,5,3,2,6]=>[1,4,5,3,2,6]=>1
[7,1,4,5,3,6,2]=>[1,4,5,3,6,2]=>1
[7,1,4,5,6,2,3]=>[1,4,5,6,2,3]=>3
[7,1,4,5,6,3,2]=>[1,4,5,6,3,2]=>1
[7,1,4,6,2,3,5]=>[1,4,6,2,3,5]=>2
[7,1,4,6,2,5,3]=>[1,4,6,2,5,3]=>2
[7,1,4,6,3,2,5]=>[1,4,6,3,2,5]=>1
[7,1,4,6,3,5,2]=>[1,4,6,3,5,2]=>2
[7,1,4,6,5,2,3]=>[1,4,6,5,2,3]=>2
[7,1,4,6,5,3,2]=>[1,4,6,5,3,2]=>1
[7,1,5,2,3,4,6]=>[1,5,2,3,4,6]=>1
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4]=>1
[7,1,5,2,4,3,6]=>[1,5,2,4,3,6]=>1
[7,1,5,2,4,6,3]=>[1,5,2,4,6,3]=>1
[7,1,5,2,6,3,4]=>[1,5,2,6,3,4]=>2
[7,1,5,2,6,4,3]=>[1,5,2,6,4,3]=>1
[7,1,5,3,2,4,6]=>[1,5,3,2,4,6]=>1
[7,1,5,3,2,6,4]=>[1,5,3,2,6,4]=>1
[7,1,5,3,4,2,6]=>[1,5,3,4,2,6]=>2
[7,1,5,3,4,6,2]=>[1,5,3,4,6,2]=>2
[7,1,5,3,6,2,4]=>[1,5,3,6,2,4]=>2
[7,1,5,3,6,4,2]=>[1,5,3,6,4,2]=>2
[7,1,5,4,2,3,6]=>[1,5,4,2,3,6]=>1
[7,1,5,4,2,6,3]=>[1,5,4,2,6,3]=>1
[7,1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[7,1,5,4,3,6,2]=>[1,5,4,3,6,2]=>1
[7,1,5,4,6,2,3]=>[1,5,4,6,2,3]=>2
[7,1,5,4,6,3,2]=>[1,5,4,6,3,2]=>1
[7,1,5,6,2,3,4]=>[1,5,6,2,3,4]=>3
[7,1,5,6,2,4,3]=>[1,5,6,2,4,3]=>2
[7,1,5,6,3,2,4]=>[1,5,6,3,2,4]=>2
[7,1,5,6,3,4,2]=>[1,5,6,3,4,2]=>3
[7,1,5,6,4,2,3]=>[1,5,6,4,2,3]=>2
[7,1,5,6,4,3,2]=>[1,5,6,4,3,2]=>1
[7,1,6,2,3,4,5]=>[1,6,2,3,4,5]=>1
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4]=>1
[7,1,6,2,4,3,5]=>[1,6,2,4,3,5]=>1
[7,1,6,2,4,5,3]=>[1,6,2,4,5,3]=>2
[7,1,6,2,5,3,4]=>[1,6,2,5,3,4]=>1
[7,1,6,2,5,4,3]=>[1,6,2,5,4,3]=>1
[7,1,6,3,2,4,5]=>[1,6,3,2,4,5]=>1
[7,1,6,3,2,5,4]=>[1,6,3,2,5,4]=>1
[7,1,6,3,4,2,5]=>[1,6,3,4,2,5]=>2
[7,1,6,3,4,5,2]=>[1,6,3,4,5,2]=>4
[7,1,6,3,5,2,4]=>[1,6,3,5,2,4]=>2
[7,1,6,3,5,4,2]=>[1,6,3,5,4,2]=>2
[7,1,6,4,2,3,5]=>[1,6,4,2,3,5]=>1
[7,1,6,4,2,5,3]=>[1,6,4,2,5,3]=>2
[7,1,6,4,3,2,5]=>[1,6,4,3,2,5]=>1
[7,1,6,4,3,5,2]=>[1,6,4,3,5,2]=>2
[7,1,6,4,5,2,3]=>[1,6,4,5,2,3]=>3
[7,1,6,4,5,3,2]=>[1,6,4,5,3,2]=>2
[7,1,6,5,2,3,4]=>[1,6,5,2,3,4]=>1
[7,1,6,5,2,4,3]=>[1,6,5,2,4,3]=>1
[7,1,6,5,3,2,4]=>[1,6,5,3,2,4]=>1
[7,1,6,5,3,4,2]=>[1,6,5,3,4,2]=>2
[7,1,6,5,4,2,3]=>[1,6,5,4,2,3]=>1
[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[7,2,1,3,4,5,6]=>[2,1,3,4,5,6]=>1
[7,2,1,3,4,6,5]=>[2,1,3,4,6,5]=>1
[7,2,1,3,5,4,6]=>[2,1,3,5,4,6]=>1
[7,2,1,3,5,6,4]=>[2,1,3,5,6,4]=>1
[7,2,1,3,6,4,5]=>[2,1,3,6,4,5]=>1
[7,2,1,3,6,5,4]=>[2,1,3,6,5,4]=>1
[7,2,1,4,3,5,6]=>[2,1,4,3,5,6]=>1
[7,2,1,4,3,6,5]=>[2,1,4,3,6,5]=>1
[7,2,1,4,5,3,6]=>[2,1,4,5,3,6]=>1
[7,2,1,4,5,6,3]=>[2,1,4,5,6,3]=>1
[7,2,1,4,6,3,5]=>[2,1,4,6,3,5]=>1
[7,2,1,4,6,5,3]=>[2,1,4,6,5,3]=>1
[7,2,1,5,3,4,6]=>[2,1,5,3,4,6]=>1
[7,2,1,5,3,6,4]=>[2,1,5,3,6,4]=>1
[7,2,1,5,4,3,6]=>[2,1,5,4,3,6]=>1
[7,2,1,5,4,6,3]=>[2,1,5,4,6,3]=>1
[7,2,1,5,6,3,4]=>[2,1,5,6,3,4]=>2
[7,2,1,5,6,4,3]=>[2,1,5,6,4,3]=>1
[7,2,1,6,3,4,5]=>[2,1,6,3,4,5]=>1
[7,2,1,6,3,5,4]=>[2,1,6,3,5,4]=>1
[7,2,1,6,4,3,5]=>[2,1,6,4,3,5]=>1
[7,2,1,6,4,5,3]=>[2,1,6,4,5,3]=>2
[7,2,1,6,5,3,4]=>[2,1,6,5,3,4]=>1
[7,2,1,6,5,4,3]=>[2,1,6,5,4,3]=>1
[7,2,3,1,4,5,6]=>[2,3,1,4,5,6]=>1
[7,2,3,1,4,6,5]=>[2,3,1,4,6,5]=>1
[7,2,3,1,5,4,6]=>[2,3,1,5,4,6]=>1
[7,2,3,1,5,6,4]=>[2,3,1,5,6,4]=>1
[7,2,3,1,6,4,5]=>[2,3,1,6,4,5]=>1
[7,2,3,1,6,5,4]=>[2,3,1,6,5,4]=>1
[7,2,3,4,1,5,6]=>[2,3,4,1,5,6]=>1
[7,2,3,4,1,6,5]=>[2,3,4,1,6,5]=>1
[7,2,3,4,5,1,6]=>[2,3,4,5,1,6]=>1
[7,2,3,4,5,6,1]=>[2,3,4,5,6,1]=>1
[7,2,3,4,6,1,5]=>[2,3,4,6,1,5]=>1
[7,2,3,4,6,5,1]=>[2,3,4,6,5,1]=>1
[7,2,3,5,1,4,6]=>[2,3,5,1,4,6]=>1
[7,2,3,5,1,6,4]=>[2,3,5,1,6,4]=>1
[7,2,3,5,4,1,6]=>[2,3,5,4,1,6]=>1
[7,2,3,5,4,6,1]=>[2,3,5,4,6,1]=>1
[7,2,3,5,6,1,4]=>[2,3,5,6,1,4]=>2
[7,2,3,5,6,4,1]=>[2,3,5,6,4,1]=>1
[7,2,3,6,1,4,5]=>[2,3,6,1,4,5]=>1
[7,2,3,6,1,5,4]=>[2,3,6,1,5,4]=>1
[7,2,3,6,4,1,5]=>[2,3,6,4,1,5]=>1
[7,2,3,6,4,5,1]=>[2,3,6,4,5,1]=>2
[7,2,3,6,5,1,4]=>[2,3,6,5,1,4]=>1
[7,2,3,6,5,4,1]=>[2,3,6,5,4,1]=>1
[7,2,4,1,3,5,6]=>[2,4,1,3,5,6]=>1
[7,2,4,1,3,6,5]=>[2,4,1,3,6,5]=>1
[7,2,4,1,5,3,6]=>[2,4,1,5,3,6]=>1
[7,2,4,1,5,6,3]=>[2,4,1,5,6,3]=>1
[7,2,4,1,6,3,5]=>[2,4,1,6,3,5]=>1
[7,2,4,1,6,5,3]=>[2,4,1,6,5,3]=>1
[7,2,4,3,1,5,6]=>[2,4,3,1,5,6]=>1
[7,2,4,3,1,6,5]=>[2,4,3,1,6,5]=>1
[7,2,4,3,5,1,6]=>[2,4,3,5,1,6]=>1
[7,2,4,3,5,6,1]=>[2,4,3,5,6,1]=>1
[7,2,4,3,6,1,5]=>[2,4,3,6,1,5]=>1
[7,2,4,3,6,5,1]=>[2,4,3,6,5,1]=>1
[7,2,4,5,1,3,6]=>[2,4,5,1,3,6]=>2
[7,2,4,5,1,6,3]=>[2,4,5,1,6,3]=>2
[7,2,4,5,3,1,6]=>[2,4,5,3,1,6]=>1
[7,2,4,5,3,6,1]=>[2,4,5,3,6,1]=>1
[7,2,4,5,6,1,3]=>[2,4,5,6,1,3]=>3
[7,2,4,5,6,3,1]=>[2,4,5,6,3,1]=>1
[7,2,4,6,1,3,5]=>[2,4,6,1,3,5]=>2
[7,2,4,6,1,5,3]=>[2,4,6,1,5,3]=>2
[7,2,4,6,3,1,5]=>[2,4,6,3,1,5]=>1
[7,2,4,6,3,5,1]=>[2,4,6,3,5,1]=>2
[7,2,4,6,5,1,3]=>[2,4,6,5,1,3]=>2
[7,2,4,6,5,3,1]=>[2,4,6,5,3,1]=>1
[7,2,5,1,3,4,6]=>[2,5,1,3,4,6]=>1
[7,2,5,1,3,6,4]=>[2,5,1,3,6,4]=>1
[7,2,5,1,4,3,6]=>[2,5,1,4,3,6]=>1
[7,2,5,1,4,6,3]=>[2,5,1,4,6,3]=>1
[7,2,5,1,6,3,4]=>[2,5,1,6,3,4]=>2
[7,2,5,1,6,4,3]=>[2,5,1,6,4,3]=>1
[7,2,5,3,1,4,6]=>[2,5,3,1,4,6]=>1
[7,2,5,3,1,6,4]=>[2,5,3,1,6,4]=>1
[7,2,5,3,4,1,6]=>[2,5,3,4,1,6]=>2
[7,2,5,3,4,6,1]=>[2,5,3,4,6,1]=>2
[7,2,5,3,6,1,4]=>[2,5,3,6,1,4]=>2
[7,2,5,3,6,4,1]=>[2,5,3,6,4,1]=>2
[7,2,5,4,1,3,6]=>[2,5,4,1,3,6]=>1
[7,2,5,4,1,6,3]=>[2,5,4,1,6,3]=>1
[7,2,5,4,3,1,6]=>[2,5,4,3,1,6]=>1
[7,2,5,4,3,6,1]=>[2,5,4,3,6,1]=>1
[7,2,5,4,6,1,3]=>[2,5,4,6,1,3]=>2
[7,2,5,4,6,3,1]=>[2,5,4,6,3,1]=>1
[7,2,5,6,1,3,4]=>[2,5,6,1,3,4]=>3
[7,2,5,6,1,4,3]=>[2,5,6,1,4,3]=>2
[7,2,5,6,3,1,4]=>[2,5,6,3,1,4]=>2
[7,2,5,6,3,4,1]=>[2,5,6,3,4,1]=>3
[7,2,5,6,4,1,3]=>[2,5,6,4,1,3]=>2
[7,2,5,6,4,3,1]=>[2,5,6,4,3,1]=>1
[7,2,6,1,3,4,5]=>[2,6,1,3,4,5]=>1
[7,2,6,1,3,5,4]=>[2,6,1,3,5,4]=>1
[7,2,6,1,4,3,5]=>[2,6,1,4,3,5]=>1
[7,2,6,1,4,5,3]=>[2,6,1,4,5,3]=>2
[7,2,6,1,5,3,4]=>[2,6,1,5,3,4]=>1
[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>1
[7,2,6,3,1,4,5]=>[2,6,3,1,4,5]=>1
[7,2,6,3,1,5,4]=>[2,6,3,1,5,4]=>1
[7,2,6,3,4,1,5]=>[2,6,3,4,1,5]=>2
[7,2,6,3,4,5,1]=>[2,6,3,4,5,1]=>4
[7,2,6,3,5,1,4]=>[2,6,3,5,1,4]=>2
[7,2,6,3,5,4,1]=>[2,6,3,5,4,1]=>2
[7,2,6,4,1,3,5]=>[2,6,4,1,3,5]=>1
[7,2,6,4,1,5,3]=>[2,6,4,1,5,3]=>2
[7,2,6,4,3,1,5]=>[2,6,4,3,1,5]=>1
[7,2,6,4,3,5,1]=>[2,6,4,3,5,1]=>2
[7,2,6,4,5,1,3]=>[2,6,4,5,1,3]=>3
[7,2,6,4,5,3,1]=>[2,6,4,5,3,1]=>2
[7,2,6,5,1,3,4]=>[2,6,5,1,3,4]=>1
[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>1
[7,2,6,5,3,1,4]=>[2,6,5,3,1,4]=>1
[7,2,6,5,3,4,1]=>[2,6,5,3,4,1]=>2
[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>1
[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>1
[7,3,1,2,4,5,6]=>[3,1,2,4,5,6]=>1
[7,3,1,2,4,6,5]=>[3,1,2,4,6,5]=>1
[7,3,1,2,5,4,6]=>[3,1,2,5,4,6]=>1
[7,3,1,2,5,6,4]=>[3,1,2,5,6,4]=>1
[7,3,1,2,6,4,5]=>[3,1,2,6,4,5]=>1
[7,3,1,2,6,5,4]=>[3,1,2,6,5,4]=>1
[7,3,1,4,2,5,6]=>[3,1,4,2,5,6]=>1
[7,3,1,4,2,6,5]=>[3,1,4,2,6,5]=>1
[7,3,1,4,5,2,6]=>[3,1,4,5,2,6]=>1
[7,3,1,4,5,6,2]=>[3,1,4,5,6,2]=>1
[7,3,1,4,6,2,5]=>[3,1,4,6,2,5]=>1
[7,3,1,4,6,5,2]=>[3,1,4,6,5,2]=>1
[7,3,1,5,2,4,6]=>[3,1,5,2,4,6]=>1
[7,3,1,5,2,6,4]=>[3,1,5,2,6,4]=>1
[7,3,1,5,4,2,6]=>[3,1,5,4,2,6]=>1
[7,3,1,5,4,6,2]=>[3,1,5,4,6,2]=>1
[7,3,1,5,6,2,4]=>[3,1,5,6,2,4]=>2
[7,3,1,5,6,4,2]=>[3,1,5,6,4,2]=>1
[7,3,1,6,2,4,5]=>[3,1,6,2,4,5]=>1
[7,3,1,6,2,5,4]=>[3,1,6,2,5,4]=>1
[7,3,1,6,4,2,5]=>[3,1,6,4,2,5]=>1
[7,3,1,6,4,5,2]=>[3,1,6,4,5,2]=>2
[7,3,1,6,5,2,4]=>[3,1,6,5,2,4]=>1
[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>1
[7,3,2,1,4,5,6]=>[3,2,1,4,5,6]=>1
[7,3,2,1,4,6,5]=>[3,2,1,4,6,5]=>1
[7,3,2,1,5,4,6]=>[3,2,1,5,4,6]=>1
[7,3,2,1,5,6,4]=>[3,2,1,5,6,4]=>1
[7,3,2,1,6,4,5]=>[3,2,1,6,4,5]=>1
[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>1
[7,3,2,4,1,5,6]=>[3,2,4,1,5,6]=>1
[7,3,2,4,1,6,5]=>[3,2,4,1,6,5]=>1
[7,3,2,4,5,1,6]=>[3,2,4,5,1,6]=>1
[7,3,2,4,5,6,1]=>[3,2,4,5,6,1]=>1
[7,3,2,4,6,1,5]=>[3,2,4,6,1,5]=>1
[7,3,2,4,6,5,1]=>[3,2,4,6,5,1]=>1
[7,3,2,5,1,4,6]=>[3,2,5,1,4,6]=>1
[7,3,2,5,1,6,4]=>[3,2,5,1,6,4]=>1
[7,3,2,5,4,1,6]=>[3,2,5,4,1,6]=>1
[7,3,2,5,4,6,1]=>[3,2,5,4,6,1]=>1
[7,3,2,5,6,1,4]=>[3,2,5,6,1,4]=>2
[7,3,2,5,6,4,1]=>[3,2,5,6,4,1]=>1
[7,3,2,6,1,4,5]=>[3,2,6,1,4,5]=>1
[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>1
[7,3,2,6,4,1,5]=>[3,2,6,4,1,5]=>1
[7,3,2,6,4,5,1]=>[3,2,6,4,5,1]=>2
[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>1
[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>1
[7,3,4,1,2,5,6]=>[3,4,1,2,5,6]=>2
[7,3,4,1,2,6,5]=>[3,4,1,2,6,5]=>2
[7,3,4,1,5,2,6]=>[3,4,1,5,2,6]=>2
[7,3,4,1,5,6,2]=>[3,4,1,5,6,2]=>2
[7,3,4,1,6,2,5]=>[3,4,1,6,2,5]=>2
[7,3,4,1,6,5,2]=>[3,4,1,6,5,2]=>2
[7,3,4,2,1,5,6]=>[3,4,2,1,5,6]=>1
[7,3,4,2,1,6,5]=>[3,4,2,1,6,5]=>1
[7,3,4,2,5,1,6]=>[3,4,2,5,1,6]=>1
[7,3,4,2,5,6,1]=>[3,4,2,5,6,1]=>1
[7,3,4,2,6,1,5]=>[3,4,2,6,1,5]=>1
[7,3,4,2,6,5,1]=>[3,4,2,6,5,1]=>1
[7,3,4,5,1,2,6]=>[3,4,5,1,2,6]=>3
[7,3,4,5,1,6,2]=>[3,4,5,1,6,2]=>3
[7,3,4,5,2,1,6]=>[3,4,5,2,1,6]=>1
[7,3,4,5,2,6,1]=>[3,4,5,2,6,1]=>1
[7,3,4,5,6,1,2]=>[3,4,5,6,1,2]=>5
[7,3,4,5,6,2,1]=>[3,4,5,6,2,1]=>1
[7,3,4,6,1,2,5]=>[3,4,6,1,2,5]=>3
[7,3,4,6,1,5,2]=>[3,4,6,1,5,2]=>3
[7,3,4,6,2,1,5]=>[3,4,6,2,1,5]=>1
[7,3,4,6,2,5,1]=>[3,4,6,2,5,1]=>2
[7,3,4,6,5,1,2]=>[3,4,6,5,1,2]=>3
[7,3,4,6,5,2,1]=>[3,4,6,5,2,1]=>1
[7,3,5,1,2,4,6]=>[3,5,1,2,4,6]=>2
[7,3,5,1,2,6,4]=>[3,5,1,2,6,4]=>2
[7,3,5,1,4,2,6]=>[3,5,1,4,2,6]=>2
[7,3,5,1,4,6,2]=>[3,5,1,4,6,2]=>2
[7,3,5,1,6,2,4]=>[3,5,1,6,2,4]=>4
[7,3,5,1,6,4,2]=>[3,5,1,6,4,2]=>2
[7,3,5,2,1,4,6]=>[3,5,2,1,4,6]=>1
[7,3,5,2,1,6,4]=>[3,5,2,1,6,4]=>1
[7,3,5,2,4,1,6]=>[3,5,2,4,1,6]=>2
[7,3,5,2,4,6,1]=>[3,5,2,4,6,1]=>2
[7,3,5,2,6,1,4]=>[3,5,2,6,1,4]=>2
[7,3,5,2,6,4,1]=>[3,5,2,6,4,1]=>2
[7,3,5,4,1,2,6]=>[3,5,4,1,2,6]=>2
[7,3,5,4,1,6,2]=>[3,5,4,1,6,2]=>2
[7,3,5,4,2,1,6]=>[3,5,4,2,1,6]=>1
[7,3,5,4,2,6,1]=>[3,5,4,2,6,1]=>1
[7,3,5,4,6,1,2]=>[3,5,4,6,1,2]=>4
[7,3,5,4,6,2,1]=>[3,5,4,6,2,1]=>1
[7,3,5,6,1,2,4]=>[3,5,6,1,2,4]=>5
[7,3,5,6,1,4,2]=>[3,5,6,1,4,2]=>3
[7,3,5,6,2,1,4]=>[3,5,6,2,1,4]=>2
[7,3,5,6,2,4,1]=>[3,5,6,2,4,1]=>3
[7,3,5,6,4,1,2]=>[3,5,6,4,1,2]=>3
[7,3,5,6,4,2,1]=>[3,5,6,4,2,1]=>1
[7,3,6,1,2,4,5]=>[3,6,1,2,4,5]=>2
[7,3,6,1,2,5,4]=>[3,6,1,2,5,4]=>2
[7,3,6,1,4,2,5]=>[3,6,1,4,2,5]=>2
[7,3,6,1,4,5,2]=>[3,6,1,4,5,2]=>4
[7,3,6,1,5,2,4]=>[3,6,1,5,2,4]=>2
[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>2
[7,3,6,2,1,4,5]=>[3,6,2,1,4,5]=>1
[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>1
[7,3,6,2,4,1,5]=>[3,6,2,4,1,5]=>2
[7,3,6,2,4,5,1]=>[3,6,2,4,5,1]=>4
[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>2
[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>2
[7,3,6,4,1,2,5]=>[3,6,4,1,2,5]=>2
[7,3,6,4,1,5,2]=>[3,6,4,1,5,2]=>4
[7,3,6,4,2,1,5]=>[3,6,4,2,1,5]=>1
[7,3,6,4,2,5,1]=>[3,6,4,2,5,1]=>2
[7,3,6,4,5,1,2]=>[3,6,4,5,1,2]=>6
[7,3,6,4,5,2,1]=>[3,6,4,5,2,1]=>2
[7,3,6,5,1,2,4]=>[3,6,5,1,2,4]=>2
[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>2
[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>1
[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>2
[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>2
[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>1
[7,4,1,2,3,5,6]=>[4,1,2,3,5,6]=>1
[7,4,1,2,3,6,5]=>[4,1,2,3,6,5]=>1
[7,4,1,2,5,3,6]=>[4,1,2,5,3,6]=>1
[7,4,1,2,5,6,3]=>[4,1,2,5,6,3]=>1
[7,4,1,2,6,3,5]=>[4,1,2,6,3,5]=>1
[7,4,1,2,6,5,3]=>[4,1,2,6,5,3]=>1
[7,4,1,3,2,5,6]=>[4,1,3,2,5,6]=>1
[7,4,1,3,2,6,5]=>[4,1,3,2,6,5]=>1
[7,4,1,3,5,2,6]=>[4,1,3,5,2,6]=>1
[7,4,1,3,5,6,2]=>[4,1,3,5,6,2]=>1
[7,4,1,3,6,2,5]=>[4,1,3,6,2,5]=>1
[7,4,1,3,6,5,2]=>[4,1,3,6,5,2]=>1
[7,4,1,5,2,3,6]=>[4,1,5,2,3,6]=>2
[7,4,1,5,2,6,3]=>[4,1,5,2,6,3]=>2
[7,4,1,5,3,2,6]=>[4,1,5,3,2,6]=>1
[7,4,1,5,3,6,2]=>[4,1,5,3,6,2]=>1
[7,4,1,5,6,2,3]=>[4,1,5,6,2,3]=>3
[7,4,1,5,6,3,2]=>[4,1,5,6,3,2]=>1
[7,4,1,6,2,3,5]=>[4,1,6,2,3,5]=>2
[7,4,1,6,2,5,3]=>[4,1,6,2,5,3]=>2
[7,4,1,6,3,2,5]=>[4,1,6,3,2,5]=>1
[7,4,1,6,3,5,2]=>[4,1,6,3,5,2]=>2
[7,4,1,6,5,2,3]=>[4,1,6,5,2,3]=>2
[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>1
[7,4,2,1,3,5,6]=>[4,2,1,3,5,6]=>1
[7,4,2,1,3,6,5]=>[4,2,1,3,6,5]=>1
[7,4,2,1,5,3,6]=>[4,2,1,5,3,6]=>1
[7,4,2,1,5,6,3]=>[4,2,1,5,6,3]=>1
[7,4,2,1,6,3,5]=>[4,2,1,6,3,5]=>1
[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>1
[7,4,2,3,1,5,6]=>[4,2,3,1,5,6]=>2
[7,4,2,3,1,6,5]=>[4,2,3,1,6,5]=>2
[7,4,2,3,5,1,6]=>[4,2,3,5,1,6]=>2
[7,4,2,3,5,6,1]=>[4,2,3,5,6,1]=>2
[7,4,2,3,6,1,5]=>[4,2,3,6,1,5]=>2
[7,4,2,3,6,5,1]=>[4,2,3,6,5,1]=>2
[7,4,2,5,1,3,6]=>[4,2,5,1,3,6]=>2
[7,4,2,5,1,6,3]=>[4,2,5,1,6,3]=>2
[7,4,2,5,3,1,6]=>[4,2,5,3,1,6]=>2
[7,4,2,5,3,6,1]=>[4,2,5,3,6,1]=>2
[7,4,2,5,6,1,3]=>[4,2,5,6,1,3]=>3
[7,4,2,5,6,3,1]=>[4,2,5,6,3,1]=>2
[7,4,2,6,1,3,5]=>[4,2,6,1,3,5]=>2
[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>2
[7,4,2,6,3,1,5]=>[4,2,6,3,1,5]=>2
[7,4,2,6,3,5,1]=>[4,2,6,3,5,1]=>4
[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>2
[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>2
[7,4,3,1,2,5,6]=>[4,3,1,2,5,6]=>1
[7,4,3,1,2,6,5]=>[4,3,1,2,6,5]=>1
[7,4,3,1,5,2,6]=>[4,3,1,5,2,6]=>1
[7,4,3,1,5,6,2]=>[4,3,1,5,6,2]=>1
[7,4,3,1,6,2,5]=>[4,3,1,6,2,5]=>1
[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>1
[7,4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[7,4,3,2,1,6,5]=>[4,3,2,1,6,5]=>1
[7,4,3,2,5,1,6]=>[4,3,2,5,1,6]=>1
[7,4,3,2,5,6,1]=>[4,3,2,5,6,1]=>1
[7,4,3,2,6,1,5]=>[4,3,2,6,1,5]=>1
[7,4,3,2,6,5,1]=>[4,3,2,6,5,1]=>1
[7,4,3,5,1,2,6]=>[4,3,5,1,2,6]=>2
[7,4,3,5,1,6,2]=>[4,3,5,1,6,2]=>2
[7,4,3,5,2,1,6]=>[4,3,5,2,1,6]=>1
[7,4,3,5,2,6,1]=>[4,3,5,2,6,1]=>1
[7,4,3,5,6,1,2]=>[4,3,5,6,1,2]=>3
[7,4,3,5,6,2,1]=>[4,3,5,6,2,1]=>1
[7,4,3,6,1,2,5]=>[4,3,6,1,2,5]=>2
[7,4,3,6,1,5,2]=>[4,3,6,1,5,2]=>2
[7,4,3,6,2,1,5]=>[4,3,6,2,1,5]=>1
[7,4,3,6,2,5,1]=>[4,3,6,2,5,1]=>2
[7,4,3,6,5,1,2]=>[4,3,6,5,1,2]=>2
[7,4,3,6,5,2,1]=>[4,3,6,5,2,1]=>1
[7,4,5,1,2,3,6]=>[4,5,1,2,3,6]=>3
[7,4,5,1,2,6,3]=>[4,5,1,2,6,3]=>3
[7,4,5,1,3,2,6]=>[4,5,1,3,2,6]=>2
[7,4,5,1,3,6,2]=>[4,5,1,3,6,2]=>2
[7,4,5,1,6,2,3]=>[4,5,1,6,2,3]=>5
[7,4,5,1,6,3,2]=>[4,5,1,6,3,2]=>2
[7,4,5,2,1,3,6]=>[4,5,2,1,3,6]=>2
[7,4,5,2,1,6,3]=>[4,5,2,1,6,3]=>2
[7,4,5,2,3,1,6]=>[4,5,2,3,1,6]=>3
[7,4,5,2,3,6,1]=>[4,5,2,3,6,1]=>3
[7,4,5,2,6,1,3]=>[4,5,2,6,1,3]=>3
[7,4,5,2,6,3,1]=>[4,5,2,6,3,1]=>3
[7,4,5,3,1,2,6]=>[4,5,3,1,2,6]=>2
[7,4,5,3,1,6,2]=>[4,5,3,1,6,2]=>2
[7,4,5,3,2,1,6]=>[4,5,3,2,1,6]=>1
[7,4,5,3,2,6,1]=>[4,5,3,2,6,1]=>1
[7,4,5,3,6,1,2]=>[4,5,3,6,1,2]=>3
[7,4,5,3,6,2,1]=>[4,5,3,6,2,1]=>1
[7,4,5,6,1,2,3]=>[4,5,6,1,2,3]=>10
[7,4,5,6,1,3,2]=>[4,5,6,1,3,2]=>4
[7,4,5,6,2,1,3]=>[4,5,6,2,1,3]=>4
[7,4,5,6,2,3,1]=>[4,5,6,2,3,1]=>6
[7,4,5,6,3,1,2]=>[4,5,6,3,1,2]=>3
[7,4,5,6,3,2,1]=>[4,5,6,3,2,1]=>1
[7,4,6,1,2,3,5]=>[4,6,1,2,3,5]=>3
[7,4,6,1,2,5,3]=>[4,6,1,2,5,3]=>3
[7,4,6,1,3,2,5]=>[4,6,1,3,2,5]=>2
[7,4,6,1,3,5,2]=>[4,6,1,3,5,2]=>4
[7,4,6,1,5,2,3]=>[4,6,1,5,2,3]=>3
[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>2
[7,4,6,2,1,3,5]=>[4,6,2,1,3,5]=>2
[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>2
[7,4,6,2,3,1,5]=>[4,6,2,3,1,5]=>3
[7,4,6,2,3,5,1]=>[4,6,2,3,5,1]=>6
[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>3
[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>3
[7,4,6,3,1,2,5]=>[4,6,3,1,2,5]=>2
[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>3
[7,4,6,3,2,1,5]=>[4,6,3,2,1,5]=>1
[7,4,6,3,2,5,1]=>[4,6,3,2,5,1]=>2
[7,4,6,3,5,1,2]=>[4,6,3,5,1,2]=>4
[7,4,6,3,5,2,1]=>[4,6,3,5,2,1]=>2
[7,4,6,5,1,2,3]=>[4,6,5,1,2,3]=>4
[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>3
[7,4,6,5,2,1,3]=>[4,6,5,2,1,3]=>2
[7,4,6,5,2,3,1]=>[4,6,5,2,3,1]=>4
[7,4,6,5,3,1,2]=>[4,6,5,3,1,2]=>2
[7,4,6,5,3,2,1]=>[4,6,5,3,2,1]=>1
[7,5,1,2,3,4,6]=>[5,1,2,3,4,6]=>1
[7,5,1,2,3,6,4]=>[5,1,2,3,6,4]=>1
[7,5,1,2,4,3,6]=>[5,1,2,4,3,6]=>1
[7,5,1,2,4,6,3]=>[5,1,2,4,6,3]=>1
[7,5,1,2,6,3,4]=>[5,1,2,6,3,4]=>2
[7,5,1,2,6,4,3]=>[5,1,2,6,4,3]=>1
[7,5,1,3,2,4,6]=>[5,1,3,2,4,6]=>1
[7,5,1,3,2,6,4]=>[5,1,3,2,6,4]=>1
[7,5,1,3,4,2,6]=>[5,1,3,4,2,6]=>2
[7,5,1,3,4,6,2]=>[5,1,3,4,6,2]=>2
[7,5,1,3,6,2,4]=>[5,1,3,6,2,4]=>2
[7,5,1,3,6,4,2]=>[5,1,3,6,4,2]=>2
[7,5,1,4,2,3,6]=>[5,1,4,2,3,6]=>1
[7,5,1,4,2,6,3]=>[5,1,4,2,6,3]=>1
[7,5,1,4,3,2,6]=>[5,1,4,3,2,6]=>1
[7,5,1,4,3,6,2]=>[5,1,4,3,6,2]=>1
[7,5,1,4,6,2,3]=>[5,1,4,6,2,3]=>2
[7,5,1,4,6,3,2]=>[5,1,4,6,3,2]=>1
[7,5,1,6,2,3,4]=>[5,1,6,2,3,4]=>3
[7,5,1,6,2,4,3]=>[5,1,6,2,4,3]=>2
[7,5,1,6,3,2,4]=>[5,1,6,3,2,4]=>2
[7,5,1,6,3,4,2]=>[5,1,6,3,4,2]=>3
[7,5,1,6,4,2,3]=>[5,1,6,4,2,3]=>2
[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>1
[7,5,2,1,3,4,6]=>[5,2,1,3,4,6]=>1
[7,5,2,1,3,6,4]=>[5,2,1,3,6,4]=>1
[7,5,2,1,4,3,6]=>[5,2,1,4,3,6]=>1
[7,5,2,1,4,6,3]=>[5,2,1,4,6,3]=>1
[7,5,2,1,6,3,4]=>[5,2,1,6,3,4]=>2
[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>1
[7,5,2,3,1,4,6]=>[5,2,3,1,4,6]=>2
[7,5,2,3,1,6,4]=>[5,2,3,1,6,4]=>2
[7,5,2,3,4,1,6]=>[5,2,3,4,1,6]=>4
[7,5,2,3,4,6,1]=>[5,2,3,4,6,1]=>4
[7,5,2,3,6,1,4]=>[5,2,3,6,1,4]=>4
[7,5,2,3,6,4,1]=>[5,2,3,6,4,1]=>4
[7,5,2,4,1,3,6]=>[5,2,4,1,3,6]=>2
[7,5,2,4,1,6,3]=>[5,2,4,1,6,3]=>2
[7,5,2,4,3,1,6]=>[5,2,4,3,1,6]=>2
[7,5,2,4,3,6,1]=>[5,2,4,3,6,1]=>2
[7,5,2,4,6,1,3]=>[5,2,4,6,1,3]=>4
[7,5,2,4,6,3,1]=>[5,2,4,6,3,1]=>2
[7,5,2,6,1,3,4]=>[5,2,6,1,3,4]=>3
[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>2
[7,5,2,6,3,1,4]=>[5,2,6,3,1,4]=>4
[7,5,2,6,3,4,1]=>[5,2,6,3,4,1]=>6
[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>3
[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>2
[7,5,3,1,2,4,6]=>[5,3,1,2,4,6]=>1
[7,5,3,1,2,6,4]=>[5,3,1,2,6,4]=>1
[7,5,3,1,4,2,6]=>[5,3,1,4,2,6]=>2
[7,5,3,1,4,6,2]=>[5,3,1,4,6,2]=>2
[7,5,3,1,6,2,4]=>[5,3,1,6,2,4]=>2
[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>2
[7,5,3,2,1,4,6]=>[5,3,2,1,4,6]=>1
[7,5,3,2,1,6,4]=>[5,3,2,1,6,4]=>1
[7,5,3,2,4,1,6]=>[5,3,2,4,1,6]=>2
[7,5,3,2,4,6,1]=>[5,3,2,4,6,1]=>2
[7,5,3,2,6,1,4]=>[5,3,2,6,1,4]=>2
[7,5,3,2,6,4,1]=>[5,3,2,6,4,1]=>2
[7,5,3,4,1,2,6]=>[5,3,4,1,2,6]=>3
[7,5,3,4,1,6,2]=>[5,3,4,1,6,2]=>3
[7,5,3,4,2,1,6]=>[5,3,4,2,1,6]=>2
[7,5,3,4,2,6,1]=>[5,3,4,2,6,1]=>2
[7,5,3,4,6,1,2]=>[5,3,4,6,1,2]=>6
[7,5,3,4,6,2,1]=>[5,3,4,6,2,1]=>2
[7,5,3,6,1,2,4]=>[5,3,6,1,2,4]=>3
[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>3
[7,5,3,6,2,1,4]=>[5,3,6,2,1,4]=>2
[7,5,3,6,2,4,1]=>[5,3,6,2,4,1]=>3
[7,5,3,6,4,1,2]=>[5,3,6,4,1,2]=>4
[7,5,3,6,4,2,1]=>[5,3,6,4,2,1]=>2
[7,5,4,1,2,3,6]=>[5,4,1,2,3,6]=>1
[7,5,4,1,2,6,3]=>[5,4,1,2,6,3]=>1
[7,5,4,1,3,2,6]=>[5,4,1,3,2,6]=>1
[7,5,4,1,3,6,2]=>[5,4,1,3,6,2]=>1
[7,5,4,1,6,2,3]=>[5,4,1,6,2,3]=>2
[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>1
[7,5,4,2,1,3,6]=>[5,4,2,1,3,6]=>1
[7,5,4,2,1,6,3]=>[5,4,2,1,6,3]=>1
[7,5,4,2,3,1,6]=>[5,4,2,3,1,6]=>2
[7,5,4,2,3,6,1]=>[5,4,2,3,6,1]=>2
[7,5,4,2,6,1,3]=>[5,4,2,6,1,3]=>2
[7,5,4,2,6,3,1]=>[5,4,2,6,3,1]=>2
[7,5,4,3,1,2,6]=>[5,4,3,1,2,6]=>1
[7,5,4,3,1,6,2]=>[5,4,3,1,6,2]=>1
[7,5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[7,5,4,3,2,6,1]=>[5,4,3,2,6,1]=>1
[7,5,4,3,6,1,2]=>[5,4,3,6,1,2]=>2
[7,5,4,3,6,2,1]=>[5,4,3,6,2,1]=>1
[7,5,4,6,1,2,3]=>[5,4,6,1,2,3]=>4
[7,5,4,6,1,3,2]=>[5,4,6,1,3,2]=>2
[7,5,4,6,2,1,3]=>[5,4,6,2,1,3]=>3
[7,5,4,6,2,3,1]=>[5,4,6,2,3,1]=>4
[7,5,4,6,3,1,2]=>[5,4,6,3,1,2]=>2
[7,5,4,6,3,2,1]=>[5,4,6,3,2,1]=>1
[7,5,6,1,2,3,4]=>[5,6,1,2,3,4]=>5
[7,5,6,1,2,4,3]=>[5,6,1,2,4,3]=>3
[7,5,6,1,3,2,4]=>[5,6,1,3,2,4]=>4
[7,5,6,1,3,4,2]=>[5,6,1,3,4,2]=>6
[7,5,6,1,4,2,3]=>[5,6,1,4,2,3]=>3
[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>2
[7,5,6,2,1,3,4]=>[5,6,2,1,3,4]=>3
[7,5,6,2,1,4,3]=>[5,6,2,1,4,3]=>2
[7,5,6,2,3,1,4]=>[5,6,2,3,1,4]=>6
[7,5,6,2,3,4,1]=>[5,6,2,3,4,1]=>9
[7,5,6,2,4,1,3]=>[5,6,2,4,1,3]=>4
[7,5,6,2,4,3,1]=>[5,6,2,4,3,1]=>3
[7,5,6,3,1,2,4]=>[5,6,3,1,2,4]=>3
[7,5,6,3,1,4,2]=>[5,6,3,1,4,2]=>4
[7,5,6,3,2,1,4]=>[5,6,3,2,1,4]=>2
[7,5,6,3,2,4,1]=>[5,6,3,2,4,1]=>3
[7,5,6,3,4,1,2]=>[5,6,3,4,1,2]=>8
[7,5,6,3,4,2,1]=>[5,6,3,4,2,1]=>4
[7,5,6,4,1,2,3]=>[5,6,4,1,2,3]=>3
[7,5,6,4,1,3,2]=>[5,6,4,1,3,2]=>2
[7,5,6,4,2,1,3]=>[5,6,4,2,1,3]=>2
[7,5,6,4,2,3,1]=>[5,6,4,2,3,1]=>3
[7,5,6,4,3,1,2]=>[5,6,4,3,1,2]=>2
[7,5,6,4,3,2,1]=>[5,6,4,3,2,1]=>1
[7,6,1,2,3,4,5]=>[6,1,2,3,4,5]=>1
[7,6,1,2,3,5,4]=>[6,1,2,3,5,4]=>1
[7,6,1,2,4,3,5]=>[6,1,2,4,3,5]=>1
[7,6,1,2,4,5,3]=>[6,1,2,4,5,3]=>2
[7,6,1,2,5,3,4]=>[6,1,2,5,3,4]=>1
[7,6,1,2,5,4,3]=>[6,1,2,5,4,3]=>1
[7,6,1,3,2,4,5]=>[6,1,3,2,4,5]=>1
[7,6,1,3,2,5,4]=>[6,1,3,2,5,4]=>1
[7,6,1,3,4,2,5]=>[6,1,3,4,2,5]=>2
[7,6,1,3,4,5,2]=>[6,1,3,4,5,2]=>4
[7,6,1,3,5,2,4]=>[6,1,3,5,2,4]=>2
[7,6,1,3,5,4,2]=>[6,1,3,5,4,2]=>2
[7,6,1,4,2,3,5]=>[6,1,4,2,3,5]=>1
[7,6,1,4,2,5,3]=>[6,1,4,2,5,3]=>2
[7,6,1,4,3,2,5]=>[6,1,4,3,2,5]=>1
[7,6,1,4,3,5,2]=>[6,1,4,3,5,2]=>2
[7,6,1,4,5,2,3]=>[6,1,4,5,2,3]=>3
[7,6,1,4,5,3,2]=>[6,1,4,5,3,2]=>2
[7,6,1,5,2,3,4]=>[6,1,5,2,3,4]=>1
[7,6,1,5,2,4,3]=>[6,1,5,2,4,3]=>1
[7,6,1,5,3,2,4]=>[6,1,5,3,2,4]=>1
[7,6,1,5,3,4,2]=>[6,1,5,3,4,2]=>2
[7,6,1,5,4,2,3]=>[6,1,5,4,2,3]=>1
[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>1
[7,6,2,1,3,4,5]=>[6,2,1,3,4,5]=>1
[7,6,2,1,3,5,4]=>[6,2,1,3,5,4]=>1
[7,6,2,1,4,3,5]=>[6,2,1,4,3,5]=>1
[7,6,2,1,4,5,3]=>[6,2,1,4,5,3]=>2
[7,6,2,1,5,3,4]=>[6,2,1,5,3,4]=>1
[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>1
[7,6,2,3,1,4,5]=>[6,2,3,1,4,5]=>2
[7,6,2,3,1,5,4]=>[6,2,3,1,5,4]=>2
[7,6,2,3,4,1,5]=>[6,2,3,4,1,5]=>4
[7,6,2,3,4,5,1]=>[6,2,3,4,5,1]=>8
[7,6,2,3,5,1,4]=>[6,2,3,5,1,4]=>4
[7,6,2,3,5,4,1]=>[6,2,3,5,4,1]=>4
[7,6,2,4,1,3,5]=>[6,2,4,1,3,5]=>2
[7,6,2,4,1,5,3]=>[6,2,4,1,5,3]=>4
[7,6,2,4,3,1,5]=>[6,2,4,3,1,5]=>2
[7,6,2,4,3,5,1]=>[6,2,4,3,5,1]=>4
[7,6,2,4,5,1,3]=>[6,2,4,5,1,3]=>6
[7,6,2,4,5,3,1]=>[6,2,4,5,3,1]=>4
[7,6,2,5,1,3,4]=>[6,2,5,1,3,4]=>2
[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>2
[7,6,2,5,3,1,4]=>[6,2,5,3,1,4]=>2
[7,6,2,5,3,4,1]=>[6,2,5,3,4,1]=>4
[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>2
[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>2
[7,6,3,1,2,4,5]=>[6,3,1,2,4,5]=>1
[7,6,3,1,2,5,4]=>[6,3,1,2,5,4]=>1
[7,6,3,1,4,2,5]=>[6,3,1,4,2,5]=>2
[7,6,3,1,4,5,2]=>[6,3,1,4,5,2]=>4
[7,6,3,1,5,2,4]=>[6,3,1,5,2,4]=>2
[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>2
[7,6,3,2,1,4,5]=>[6,3,2,1,4,5]=>1
[7,6,3,2,1,5,4]=>[6,3,2,1,5,4]=>1
[7,6,3,2,4,1,5]=>[6,3,2,4,1,5]=>2
[7,6,3,2,4,5,1]=>[6,3,2,4,5,1]=>4
[7,6,3,2,5,1,4]=>[6,3,2,5,1,4]=>2
[7,6,3,2,5,4,1]=>[6,3,2,5,4,1]=>3
[7,6,3,4,1,2,5]=>[6,3,4,1,2,5]=>3
[7,6,3,4,1,5,2]=>[6,3,4,1,5,2]=>6
[7,6,3,4,2,1,5]=>[6,3,4,2,1,5]=>2
[7,6,3,4,2,5,1]=>[6,3,4,2,5,1]=>4
[7,6,3,4,5,1,2]=>[6,3,4,5,1,2]=>9
[7,6,3,4,5,2,1]=>[6,3,4,5,2,1]=>4
[7,6,3,5,1,2,4]=>[6,3,5,1,2,4]=>3
[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>3
[7,6,3,5,2,1,4]=>[6,3,5,2,1,4]=>2
[7,6,3,5,2,4,1]=>[6,3,5,2,4,1]=>4
[7,6,3,5,4,1,2]=>[6,3,5,4,1,2]=>3
[7,6,3,5,4,2,1]=>[6,3,5,4,2,1]=>2
[7,6,4,1,2,3,5]=>[6,4,1,2,3,5]=>1
[7,6,4,1,2,5,3]=>[6,4,1,2,5,3]=>2
[7,6,4,1,3,2,5]=>[6,4,1,3,2,5]=>1
[7,6,4,1,3,5,2]=>[6,4,1,3,5,2]=>2
[7,6,4,1,5,2,3]=>[6,4,1,5,2,3]=>3
[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>2
[7,6,4,2,1,3,5]=>[6,4,2,1,3,5]=>1
[7,6,4,2,1,5,3]=>[6,4,2,1,5,3]=>2
[7,6,4,2,3,1,5]=>[6,4,2,3,1,5]=>2
[7,6,4,2,3,5,1]=>[6,4,2,3,5,1]=>4
[7,6,4,2,5,1,3]=>[6,4,2,5,1,3]=>3
[7,6,4,2,5,3,1]=>[6,4,2,5,3,1]=>4
[7,6,4,3,1,2,5]=>[6,4,3,1,2,5]=>1
[7,6,4,3,1,5,2]=>[6,4,3,1,5,2]=>2
[7,6,4,3,2,1,5]=>[6,4,3,2,1,5]=>1
[7,6,4,3,2,5,1]=>[6,4,3,2,5,1]=>2
[7,6,4,3,5,1,2]=>[6,4,3,5,1,2]=>3
[7,6,4,3,5,2,1]=>[6,4,3,5,2,1]=>2
[7,6,4,5,1,2,3]=>[6,4,5,1,2,3]=>6
[7,6,4,5,1,3,2]=>[6,4,5,1,3,2]=>4
[7,6,4,5,2,1,3]=>[6,4,5,2,1,3]=>4
[7,6,4,5,2,3,1]=>[6,4,5,2,3,1]=>8
[7,6,4,5,3,1,2]=>[6,4,5,3,1,2]=>3
[7,6,4,5,3,2,1]=>[6,4,5,3,2,1]=>2
[7,6,5,1,2,3,4]=>[6,5,1,2,3,4]=>1
[7,6,5,1,2,4,3]=>[6,5,1,2,4,3]=>1
[7,6,5,1,3,2,4]=>[6,5,1,3,2,4]=>1
[7,6,5,1,3,4,2]=>[6,5,1,3,4,2]=>2
[7,6,5,1,4,2,3]=>[6,5,1,4,2,3]=>1
[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>1
[7,6,5,2,1,3,4]=>[6,5,2,1,3,4]=>1
[7,6,5,2,1,4,3]=>[6,5,2,1,4,3]=>1
[7,6,5,2,3,1,4]=>[6,5,2,3,1,4]=>2
[7,6,5,2,3,4,1]=>[6,5,2,3,4,1]=>4
[7,6,5,2,4,1,3]=>[6,5,2,4,1,3]=>2
[7,6,5,2,4,3,1]=>[6,5,2,4,3,1]=>2
[7,6,5,3,1,2,4]=>[6,5,3,1,2,4]=>1
[7,6,5,3,1,4,2]=>[6,5,3,1,4,2]=>2
[7,6,5,3,2,1,4]=>[6,5,3,2,1,4]=>1
[7,6,5,3,2,4,1]=>[6,5,3,2,4,1]=>2
[7,6,5,3,4,1,2]=>[6,5,3,4,1,2]=>4
[7,6,5,3,4,2,1]=>[6,5,3,4,2,1]=>3
[7,6,5,4,1,2,3]=>[6,5,4,1,2,3]=>1
[7,6,5,4,1,3,2]=>[6,5,4,1,3,2]=>1
[7,6,5,4,2,1,3]=>[6,5,4,2,1,3]=>1
[7,6,5,4,2,3,1]=>[6,5,4,2,3,1]=>2
[7,6,5,4,3,1,2]=>[6,5,4,3,1,2]=>1
[7,6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,8,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,8,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,8,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,4,8,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,1]=>1
[5,2,3,4,6,7,8,1]=>[5,2,3,4,6,7,1]=>4
[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,1]=>1
[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,1]=>1
[4,2,3,5,6,7,8,1]=>[4,2,3,5,6,7,1]=>2
[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,1]=>1
[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,1]=>1
[8,7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>1
[7,8,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>1
[8,7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>4
[8,7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>17
[7,8,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>17
[7,6,5,8,3,4,1,2]=>[7,6,5,3,4,1,2]=>4
[7,5,6,8,3,4,1,2]=>[7,5,6,3,4,1,2]=>17
[6,5,7,8,3,4,1,2]=>[6,5,7,3,4,1,2]=>10
[8,3,4,5,6,7,1,2]=>[3,4,5,6,7,1,2]=>8
[7,6,5,4,3,8,1,2]=>[7,6,5,4,3,1,2]=>1
[3,4,5,6,7,8,1,2]=>[3,4,5,6,7,1,2]=>8
[8,7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3]=>1
[8,7,6,4,5,1,2,3]=>[7,6,4,5,1,2,3]=>7
[8,6,7,4,5,1,2,3]=>[6,7,4,5,1,2,3]=>17
[8,7,4,5,6,1,2,3]=>[7,4,5,6,1,2,3]=>31
[7,8,4,5,6,1,2,3]=>[7,4,5,6,1,2,3]=>31
[6,7,4,5,8,1,2,3]=>[6,7,4,5,1,2,3]=>17
[8,7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>1
[7,8,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>1
[7,6,8,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>1
[8,7,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>11
[7,8,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>11
[8,5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>26
[7,6,5,8,1,2,3,4]=>[7,6,5,1,2,3,4]=>1
[7,5,6,8,1,2,3,4]=>[7,5,6,1,2,3,4]=>11
[5,6,7,8,1,2,3,4]=>[5,6,7,1,2,3,4]=>26
[6,7,8,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>14
[8,7,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>1
[7,8,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>1
[8,6,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>8
[7,6,8,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>1
[6,7,8,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>8
[8,7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>1
[7,8,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>1
[7,8,3,2,4,1,5,6]=>[7,3,2,4,1,5,6]=>2
[7,8,2,3,4,1,5,6]=>[7,2,3,4,1,5,6]=>4
[7,8,3,4,1,2,5,6]=>[7,3,4,1,2,5,6]=>3
[7,8,4,2,1,3,5,6]=>[7,4,2,1,3,5,6]=>1
[8,7,4,1,2,3,5,6]=>[7,4,1,2,3,5,6]=>1
[8,7,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>1
[7,8,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>1
[7,8,2,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>1
[8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>1
[7,8,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>1
[8,6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[8,4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>1
[8,5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>8
[8,5,6,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>5
[8,4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[8,2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>1
[8,4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>1
[8,3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>1
[8,2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>1
[8,3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>1
[8,2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>1
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1]=>1
[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1]=>1
[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1]=>1
[7,6,5,4,3,1,2,8]=>[7,6,5,4,3,1,2]=>1
[7,6,5,4,1,2,3,8]=>[7,6,5,4,1,2,3]=>1
[7,4,5,6,1,2,3,8]=>[7,4,5,6,1,2,3]=>31
[5,4,6,7,1,2,3,8]=>[5,4,6,7,1,2,3]=>12
[7,6,5,1,2,3,4,8]=>[7,6,5,1,2,3,4]=>1
[7,5,6,1,2,3,4,8]=>[7,5,6,1,2,3,4]=>11
[5,6,7,1,2,3,4,8]=>[5,6,7,1,2,3,4]=>26
[6,7,1,2,3,4,5,8]=>[6,7,1,2,3,4,5]=>8
[7,5,1,2,3,4,6,8]=>[7,5,1,2,3,4,6]=>1
[7,3,1,2,4,5,6,8]=>[7,3,1,2,4,5,6]=>1
[7,2,1,3,4,5,6,8]=>[7,2,1,3,4,5,6]=>1
[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6]=>1
[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7]=>1
[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7]=>1
[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7]=>1
[5,6,3,4,1,2,7,8]=>[5,6,3,4,1,2,7]=>8
[4,5,6,1,2,3,7,8]=>[4,5,6,1,2,3,7]=>10
[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7]=>1
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7]=>1
[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7]=>1
[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7]=>1
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7]=>1
[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7]=>1
[3,4,1,2,5,6,7,8]=>[3,4,1,2,5,6,7]=>2
[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7]=>1
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7]=>1
[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7]=>1
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7]=>1
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7]=>1
[2,3,4,5,6,8,7,1]=>[2,3,4,5,6,7,1]=>1
[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,8,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,8,7,5,4,3,2]=>[1,6,7,5,4,3,2]=>1
[1,7,6,8,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,8,5,4,3,2]=>[1,6,7,5,4,3,2]=>1
[1,5,8,7,6,4,3,2]=>[1,5,7,6,4,3,2]=>1
[1,7,6,5,8,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,7,8,4,3,2]=>[1,5,6,7,4,3,2]=>1
[1,4,8,7,6,5,3,2]=>[1,4,7,6,5,3,2]=>1
[1,4,7,8,6,5,3,2]=>[1,4,7,6,5,3,2]=>1
[1,6,5,4,3,8,7,2]=>[1,6,5,4,3,7,2]=>1
[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>1
[2,1,7,6,5,8,4,3]=>[2,1,7,6,5,4,3]=>1
[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>1
[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,7,6]=>1
[2,3,4,5,1,8,7,6]=>[2,3,4,5,1,7,6]=>1
[2,3,4,1,5,8,7,6]=>[2,3,4,1,5,7,6]=>1
[2,3,4,1,5,7,8,6]=>[2,3,4,1,5,7,6]=>1
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,6]=>1
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,7,6]=>1
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,7]=>1
[5,6,4,3,2,1,8,7]=>[5,6,4,3,2,1,7]=>1
[4,5,6,3,2,1,8,7]=>[4,5,6,3,2,1,7]=>1
[3,6,5,4,2,1,8,7]=>[3,6,5,4,2,1,7]=>1
[4,3,6,5,2,1,8,7]=>[4,3,6,5,2,1,7]=>1
[5,4,3,6,2,1,8,7]=>[5,4,3,6,2,1,7]=>1
[4,5,3,6,2,1,8,7]=>[4,5,3,6,2,1,7]=>1
[5,4,3,2,6,1,8,7]=>[5,4,3,2,6,1,7]=>1
[2,3,4,5,6,1,8,7]=>[2,3,4,5,6,1,7]=>1
[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,7]=>1
[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,7]=>1
[2,3,4,1,5,6,8,7]=>[2,3,4,1,5,6,7]=>1
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,7]=>1
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7]=>1
[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6]=>1
[2,3,4,1,5,7,6,8]=>[2,3,4,1,5,7,6]=>1
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6]=>1
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7]=>1
[1,8,4,7,6,5,3,2]=>[1,4,7,6,5,3,2]=>1
[1,7,5,4,3,6,8,2]=>[1,7,5,4,3,6,2]=>2
[1,8,5,4,7,6,3,2]=>[1,5,4,7,6,3,2]=>1
[1,8,7,4,5,6,3,2]=>[1,7,4,5,6,3,2]=>4
[1,8,7,4,6,5,3,2]=>[1,7,4,6,5,3,2]=>2
[1,8,6,5,4,7,3,2]=>[1,6,5,4,7,3,2]=>1
[1,8,7,5,4,6,3,2]=>[1,7,5,4,6,3,2]=>2
[2,3,4,8,5,6,7,1]=>[2,3,4,5,6,7,1]=>1
[2,8,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>1
[6,3,2,5,4,1,8,7]=>[6,3,2,5,4,1,7]=>3
[6,5,3,4,2,1,8,7]=>[6,5,3,4,2,1,7]=>3
[2,4,1,3,8,5,6,7]=>[2,4,1,3,5,6,7]=>1
[2,5,7,1,8,3,4,6]=>[2,5,7,1,3,4,6]=>3
[2,5,7,8,1,3,4,6]=>[2,5,7,1,3,4,6]=>3
[2,3,5,6,7,8,1,4]=>[2,3,5,6,7,1,4]=>3
[2,6,7,1,3,4,8,5]=>[2,6,7,1,3,4,5]=>5
[2,6,1,7,3,8,4,5]=>[2,6,1,7,3,4,5]=>3
[2,6,7,8,1,3,4,5]=>[2,6,7,1,3,4,5]=>5
[2,1,6,3,4,8,5,7]=>[2,1,6,3,4,5,7]=>1
[2,1,6,3,4,5,8,7]=>[2,1,6,3,4,5,7]=>1
[2,6,1,3,4,5,7,8]=>[2,6,1,3,4,5,7]=>1
[2,3,4,6,1,7,5,8]=>[2,3,4,6,1,7,5]=>1
[2,3,4,6,7,8,1,5]=>[2,3,4,6,7,1,5]=>2
[2,1,7,8,3,4,5,6]=>[2,1,7,3,4,5,6]=>1
[2,7,1,8,3,4,5,6]=>[2,7,1,3,4,5,6]=>1
[2,7,8,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>1
[2,3,4,7,1,8,5,6]=>[2,3,4,7,1,5,6]=>1
[2,7,1,3,4,5,6,8]=>[2,7,1,3,4,5,6]=>1
[2,3,4,5,7,1,8,6]=>[2,3,4,5,7,1,6]=>1
[2,3,4,5,7,8,1,6]=>[2,3,4,5,7,1,6]=>1
[2,1,8,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>1
[2,8,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>1
[2,1,3,8,4,5,6,7]=>[2,1,3,4,5,6,7]=>1
[2,1,3,4,8,5,6,7]=>[2,1,3,4,5,6,7]=>1
[2,3,1,4,8,5,6,7]=>[2,3,1,4,5,6,7]=>1
[2,3,4,1,8,5,6,7]=>[2,3,4,1,5,6,7]=>1
[2,3,4,8,1,5,6,7]=>[2,3,4,1,5,6,7]=>1
[2,3,4,1,5,8,6,7]=>[2,3,4,1,5,6,7]=>1
[2,3,4,5,1,8,6,7]=>[2,3,4,5,1,6,7]=>1
[2,3,4,5,8,1,6,7]=>[2,3,4,5,1,6,7]=>1
[2,3,4,5,6,8,1,7]=>[2,3,4,5,6,1,7]=>1
[3,4,1,2,8,5,6,7]=>[3,4,1,2,5,6,7]=>2
[3,4,5,6,7,1,8,2]=>[3,4,5,6,7,1,2]=>8
[3,5,6,1,2,4,8,7]=>[3,5,6,1,2,4,7]=>5
[3,5,6,1,8,2,4,7]=>[3,5,6,1,2,4,7]=>5
[3,5,6,8,1,2,4,7]=>[3,5,6,1,2,4,7]=>5
[1,3,7,2,8,4,5,6]=>[1,3,7,2,4,5,6]=>1
[3,1,8,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>1
[1,3,2,8,4,5,6,7]=>[1,3,2,4,5,6,7]=>1
[3,1,2,4,8,5,6,7]=>[3,1,2,4,5,6,7]=>1
[1,3,2,4,8,5,6,7]=>[1,3,2,4,5,6,7]=>1
[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,6,7]=>1
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,6,7]=>1
[4,5,6,1,2,3,8,7]=>[4,5,6,1,2,3,7]=>10
[4,5,1,6,2,8,3,7]=>[4,5,1,6,2,3,7]=>5
[4,5,6,1,2,8,3,7]=>[4,5,6,1,2,3,7]=>10
[4,5,6,8,1,2,3,7]=>[4,5,6,1,2,3,7]=>10
[4,6,1,2,3,7,5,8]=>[4,6,1,2,3,7,5]=>3
[1,4,6,7,2,8,3,5]=>[1,4,6,7,2,3,5]=>5
[4,1,6,2,8,3,5,7]=>[4,1,6,2,3,5,7]=>2
[4,6,1,8,2,3,5,7]=>[4,6,1,2,3,5,7]=>3
[4,6,1,2,3,5,7,8]=>[4,6,1,2,3,5,7]=>3
[1,4,7,8,2,3,5,6]=>[1,4,7,2,3,5,6]=>2
[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6]=>1
[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,7,6]=>1
[4,8,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>1
[4,1,2,3,8,5,6,7]=>[4,1,2,3,5,6,7]=>1
[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,6,7]=>1
[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,7]=>1
[5,6,1,2,3,7,8,4]=>[5,6,1,2,3,7,4]=>5
[1,5,6,7,8,2,3,4]=>[1,5,6,7,2,3,4]=>10
[5,6,1,2,8,3,4,7]=>[5,6,1,2,3,4,7]=>5
[5,6,8,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>5
[5,1,6,2,3,8,4,7]=>[5,1,6,2,3,4,7]=>3
[5,6,1,2,3,8,4,7]=>[5,6,1,2,3,4,7]=>5
[5,1,6,2,3,4,7,8]=>[5,1,6,2,3,4,7]=>3
[5,1,2,3,6,7,8,4]=>[5,1,2,3,6,7,4]=>1
[1,5,2,7,3,8,4,6]=>[1,5,2,7,3,4,6]=>2
[1,5,7,2,8,3,4,6]=>[1,5,7,2,3,4,6]=>3
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6]=>2
[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6]=>1
[5,1,2,8,3,4,6,7]=>[5,1,2,3,4,6,7]=>1
[5,1,2,3,8,4,6,7]=>[5,1,2,3,4,6,7]=>1
[5,1,2,3,4,6,8,7]=>[5,1,2,3,4,6,7]=>1
[6,7,1,8,2,3,4,5]=>[6,7,1,2,3,4,5]=>8
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,4,5]=>3
[1,6,7,2,8,3,4,5]=>[1,6,7,2,3,4,5]=>5
[1,6,7,8,2,3,4,5]=>[1,6,7,2,3,4,5]=>5
[6,7,1,2,3,4,8,5]=>[6,7,1,2,3,4,5]=>8
[6,1,2,3,7,8,4,5]=>[6,1,2,3,7,4,5]=>2
[6,1,2,7,3,4,5,8]=>[6,1,2,7,3,4,5]=>3
[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5]=>3
[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5]=>5
[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5]=>1
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5]=>1
[6,1,2,3,4,7,8,5]=>[6,1,2,3,4,7,5]=>1
[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,5]=>1
[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,5]=>1
[6,1,8,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>1
[6,1,2,8,3,4,5,7]=>[6,1,2,3,4,5,7]=>1
[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,7]=>1
[7,1,8,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>1
[7,1,2,8,3,4,5,6]=>[7,1,2,3,4,5,6]=>1
[1,7,2,8,3,4,5,6]=>[1,7,2,3,4,5,6]=>1
[1,7,8,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>1
[1,7,2,3,8,4,5,6]=>[1,7,2,3,4,5,6]=>1
[7,1,2,3,4,8,5,6]=>[7,1,2,3,4,5,6]=>1
[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,5,6]=>1
[7,1,2,3,4,5,8,6]=>[7,1,2,3,4,5,6]=>1
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,6]=>1
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6]=>1
[1,8,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,8,4,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,8,5,6,7]=>[1,2,3,4,5,6,7]=>1
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,6,7]=>1
[5,3,2,6,1,4,8,7]=>[5,3,2,6,1,4,7]=>2
[4,2,5,1,3,6,7,8]=>[4,2,5,1,3,6,7]=>2
[7,5,8,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>1
[5,2,6,7,1,3,4,8]=>[5,2,6,7,1,3,4]=>10
[5,3,6,7,1,2,4,8]=>[5,3,6,7,1,2,4]=>10
[7,3,4,8,1,2,5,6]=>[7,3,4,1,2,5,6]=>3
[4,8,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>2
[5,3,2,6,1,4,7,8]=>[5,3,2,6,1,4,7]=>2
[4,3,2,8,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[7,4,2,8,1,3,5,6]=>[7,4,2,1,3,5,6]=>1
[8,4,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>2
[6,7,3,4,8,1,2,5]=>[6,7,3,4,1,2,5]=>14
[5,8,4,6,7,1,2,3]=>[5,4,6,7,1,2,3]=>12
[6,4,7,2,5,1,3,8]=>[6,4,7,2,5,1,3]=>8
[6,4,3,2,7,1,5,8]=>[6,4,3,2,7,1,5]=>2
[5,4,3,2,8,1,6,7]=>[5,4,3,2,1,6,7]=>1
[8,5,3,2,6,1,4,7]=>[5,3,2,6,1,4,7]=>2
[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>8
[6,8,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>8
[6,8,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>10
[6,4,3,8,2,7,1,5]=>[6,4,3,2,7,1,5]=>2
[8,6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>8
[6,5,4,3,2,8,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,2,3,8,7,4,6]=>[5,1,2,3,7,4,6]=>1
[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>1
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>2
[2,8,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>1
[7,3,1,2,4,5,8,6]=>[7,3,1,2,4,5,6]=>1
[7,6,1,2,3,4,8,5]=>[7,6,1,2,3,4,5]=>1
[5,8,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]=>1
[8,6,1,2,3,7,4,5]=>[6,1,2,3,7,4,5]=>2
[7,3,1,8,2,4,5,6]=>[7,3,1,2,4,5,6]=>1
[8,4,1,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>2
[7,4,1,8,2,3,5,6]=>[7,4,1,2,3,5,6]=>1
[2,8,7,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>1
[7,6,4,5,1,2,8,3]=>[7,6,4,5,1,2,3]=>7
[2,3,4,8,7,1,5,6]=>[2,3,4,7,1,5,6]=>1
[2,3,4,5,8,7,1,6]=>[2,3,4,5,7,1,6]=>1
[2,3,4,8,6,7,1,5]=>[2,3,4,6,7,1,5]=>2
[2,3,8,5,6,7,1,4]=>[2,3,5,6,7,1,4]=>3
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[8,1,2,3,4,5,6,9,7]=>[8,1,2,3,4,5,6,7]=>1
[9,1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>1
[7,1,2,3,4,5,8,9,6]=>[7,1,2,3,4,5,8,6]=>1
[8,1,2,3,9,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>1
[9,1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>1
[2,9,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>1
[8,9,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>1
[2,9,8,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,7]=>1
[9,7,8,1,2,3,4,5,6]=>[7,8,1,2,3,4,5,6]=>13
[2,3,4,5,6,7,9,1,8]=>[2,3,4,5,6,7,1,8]=>1
[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,1]=>1
[6,5,8,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>10
[5,8,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>26
[5,6,8,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>26
[7,5,8,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>11
[6,4,7,3,8,5,1,2]=>[6,4,7,3,5,1,2]=>8
[6,4,7,3,5,8,1,2]=>[6,4,7,3,5,1,2]=>8
[6,4,7,2,5,1,8,3]=>[6,4,7,2,5,1,3]=>8
[5,3,2,6,1,8,4,7]=>[5,3,2,6,1,4,7]=>2
[4,3,2,1,8,5,6,7]=>[4,3,2,1,5,6,7]=>1
[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,6,7]=>1
[5,1,6,2,8,3,7,4]=>[5,1,6,2,3,7,4]=>3
[4,5,6,3,2,8,1,7]=>[4,5,6,3,2,1,7]=>1
[1,7,5,4,8,3,6,2]=>[1,7,5,4,3,6,2]=>2
[5,6,1,2,3,8,7,4]=>[5,6,1,2,3,7,4]=>5
[4,6,1,2,3,8,7,5]=>[4,6,1,2,3,7,5]=>3
[4,8,1,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>2
[6,8,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>8
[5,8,6,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>5
[8,1,6,7,5,4,3,2]=>[1,6,7,5,4,3,2]=>1
[3,8,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>1
[4,3,8,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>1
[4,8,2,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>2
[3,4,2,8,5,6,7,1]=>[3,4,2,5,6,7,1]=>1
[1,8,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>2
[1,8,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>5
[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>5
[7,4,2,1,8,3,5,6]=>[7,4,2,1,3,5,6]=>1
[1,5,8,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>2
[7,5,1,2,8,3,4,6]=>[7,5,1,2,3,4,6]=>1
[7,6,1,8,2,3,4,5]=>[7,6,1,2,3,4,5]=>1
[1,6,8,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>5
[2,3,4,1,8,5,7,6]=>[2,3,4,1,5,7,6]=>1
[4,1,2,3,8,5,7,6]=>[4,1,2,3,5,7,6]=>1
[4,1,2,3,5,8,7,6]=>[4,1,2,3,5,7,6]=>1
[1,5,8,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>5
[4,1,8,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>2
[5,3,6,7,1,2,8,4]=>[5,3,6,7,1,2,4]=>10
[2,8,5,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>3
[6,4,7,8,2,5,1,3]=>[6,4,7,2,5,1,3]=>8
[2,5,8,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>3
[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1]=>1
[2,3,4,5,6,8,9,1,7]=>[2,3,4,5,6,8,1,7]=>1
[2,3,4,5,7,8,9,1,6]=>[2,3,4,5,7,8,1,6]=>2
[3,4,5,6,7,8,9,1,2]=>[3,4,5,6,7,8,1,2]=>13
[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8]=>1
[2,3,4,5,6,1,9,7,8]=>[2,3,4,5,6,1,7,8]=>1
[2,8,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>1
[8,2,6,1,7,3,4,5]=>[2,6,1,7,3,4,5]=>3
[2,1,8,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>1
[1,3,8,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>1
[6,4,3,8,2,5,1,7]=>[6,4,3,2,5,1,7]=>2
[5,4,3,2,8,6,1,7]=>[5,4,3,2,6,1,7]=>1
[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,6,7]=>1
[5,4,3,2,8,1,7,6]=>[5,4,3,2,1,7,6]=>1
[5,4,3,2,6,8,1,7]=>[5,4,3,2,6,1,7]=>1
[1,2,3,8,4,6,5,7]=>[1,2,3,4,6,5,7]=>1
[1,8,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>1
[1,6,2,8,3,7,4,5]=>[1,6,2,3,7,4,5]=>2
[5,6,8,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>8
[2,3,4,8,6,1,7,5]=>[2,3,4,6,1,7,5]=>1
[1,8,7,4,3,6,5,2]=>[1,7,4,3,6,5,2]=>3
[1,8,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>10
[5,4,6,7,1,8,2,3]=>[5,4,6,7,1,2,3]=>12
[6,4,5,7,1,2,8,3]=>[6,4,5,7,1,2,3]=>20
[7,4,1,2,3,8,5,6]=>[7,4,1,2,3,5,6]=>1
[1,8,7,5,4,3,6,2]=>[1,7,5,4,3,6,2]=>2
[1,8,7,4,5,3,6,2]=>[1,7,4,5,3,6,2]=>4
[6,8,1,2,3,4,7,5]=>[6,1,2,3,4,7,5]=>1
[5,1,8,2,3,6,7,4]=>[5,1,2,3,6,7,4]=>1
[6,8,7,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>14
[2,8,6,1,7,3,4,5]=>[2,6,1,7,3,4,5]=>3
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,8]=>1
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8]=>1
[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,6,7]=>1
[7,1,2,3,4,5,6,9,8]=>[7,1,2,3,4,5,6,8]=>1
[2,1,9,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>1
[2,8,1,3,4,5,6,7,9]=>[2,8,1,3,4,5,6,7]=>1
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>1
[1,8,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>1
[1,8,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>5
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,8,7]=>1
[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,4]=>1
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,7]=>1
[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,1]=>1
[6,8,3,4,2,5,1,7]=>[6,3,4,2,5,1,7]=>4
[4,5,3,6,2,8,1,7]=>[4,5,3,6,2,1,7]=>1
[9,8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,9,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,9,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,1,2,9]=>[8,7,6,5,4,3,1,2]=>1
[1,7,4,5,3,8,6,2]=>[1,7,4,5,3,6,2]=>4
[1,8,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>1
[7,2,3,1,4,5,8,6]=>[7,2,3,1,4,5,6]=>2
[5,6,3,4,1,2,8,7]=>[5,6,3,4,1,2,7]=>8
[4,8,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[4,3,8,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,9,8,7,5,6,4,3,2]=>[1,8,7,5,6,4,3,2]=>3
[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,2,8,5,4,3,1,7]=>[6,2,5,4,3,1,7]=>2
[2,8,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>1
[6,2,8,4,5,3,1,7]=>[6,2,4,5,3,1,7]=>4
[3,2,1,4,8,5,6,7]=>[3,2,1,4,5,6,7]=>1
[6,7,3,4,1,8,2,5]=>[6,7,3,4,1,2,5]=>14
[9,2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>1
[4,2,3,5,6,7,8,9,1]=>[4,2,3,5,6,7,8,1]=>2
[3,4,2,5,6,7,8,9,1]=>[3,4,2,5,6,7,8,1]=>1
[3,4,8,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>1
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,7,8]=>1
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,6,7]=>1
[9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>1
[7,8,9,1,2,3,4,5,6]=>[7,8,1,2,3,4,5,6]=>13
[9,8,7,1,2,3,4,5,6]=>[8,7,1,2,3,4,5,6]=>1
[6,7,8,9,1,2,3,4,5]=>[6,7,8,1,2,3,4,5]=>73
[9,6,7,8,1,2,3,4,5]=>[6,7,8,1,2,3,4,5]=>73
[8,9,6,7,1,2,3,4,5]=>[8,6,7,1,2,3,4,5]=>20
[9,8,6,7,1,2,3,4,5]=>[8,6,7,1,2,3,4,5]=>20
[9,8,7,6,1,2,3,4,5]=>[8,7,6,1,2,3,4,5]=>1
[9,5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>145
[8,9,5,6,7,1,2,3,4]=>[8,5,6,7,1,2,3,4]=>114
[9,8,5,6,7,1,2,3,4]=>[8,5,6,7,1,2,3,4]=>114
[9,7,8,5,6,1,2,3,4]=>[7,8,5,6,1,2,3,4]=>42
[9,8,7,5,6,1,2,3,4]=>[8,7,5,6,1,2,3,4]=>14
[9,8,7,6,5,1,2,3,4]=>[8,7,6,5,1,2,3,4]=>1
[7,8,9,4,5,6,1,2,3]=>[7,8,4,5,6,1,2,3]=>166
[9,7,8,4,5,6,1,2,3]=>[7,8,4,5,6,1,2,3]=>166
[9,8,7,4,5,6,1,2,3]=>[8,7,4,5,6,1,2,3]=>49
[8,9,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,2,3]=>48
[9,8,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,2,3]=>48
[9,8,7,6,4,5,1,2,3]=>[8,7,6,4,5,1,2,3]=>8
[9,8,7,6,5,4,1,2,3]=>[8,7,6,5,4,1,2,3]=>1
[9,7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>56
[9,8,7,5,6,3,4,1,2]=>[8,7,5,6,3,4,1,2]=>28
[9,8,7,6,5,3,4,1,2]=>[8,7,6,5,3,4,1,2]=>4
[9,8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,1,2]=>1
[1,7,5,4,3,8,6,2]=>[1,7,5,4,3,6,2]=>2
[1,8,9,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,8,5,4,3,2,1,9]=>[7,6,8,5,4,3,2,1]=>1
[1,8,7,9,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,9,8,6,5,4,3,2]=>[1,7,8,6,5,4,3,2]=>1
[2,3,4,8,5,7,1,6]=>[2,3,4,5,7,1,6]=>1
[2,3,4,8,5,6,1,7]=>[2,3,4,5,6,1,7]=>1
[2,3,4,8,5,1,7,6]=>[2,3,4,5,1,7,6]=>1
[6,3,5,4,8,2,1,7]=>[6,3,5,4,2,1,7]=>2
[2,3,4,8,5,1,6,7]=>[2,3,4,5,1,6,7]=>1
[2,3,4,8,1,5,7,6]=>[2,3,4,1,5,7,6]=>1
[6,2,4,8,5,3,1,7]=>[6,2,4,5,3,1,7]=>4
[5,2,3,8,4,6,7,1]=>[5,2,3,4,6,7,1]=>4
[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7]=>1
[1,9,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>1
[7,8,1,2,3,4,5,6,9]=>[7,8,1,2,3,4,5,6]=>13
[1,8,9,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>1
[1,8,2,9,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>1
[1,7,9,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>1
[3,6,5,8,4,2,1,7]=>[3,6,5,4,2,1,7]=>1
[2,8,3,4,5,1,7,6]=>[2,3,4,5,1,7,6]=>1
[1,8,6,7,5,4,3,2]=>[1,6,7,5,4,3,2]=>1
[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7]=>1
[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,8]=>1
[1,4,2,5,3,7,6,9,8]=>[1,4,2,5,3,7,6,8]=>1
[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8]=>1
[1,5,2,3,8,4,7,6]=>[1,5,2,3,4,7,6]=>1
[5,1,2,3,8,4,7,6]=>[5,1,2,3,4,7,6]=>1
[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,7,5]=>1
[6,5,4,8,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,1,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8]=>2
[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8]=>1
[4,5,6,1,2,3,7,8,9]=>[4,5,6,1,2,3,7,8]=>10
[4,2,5,1,3,6,7,8,9]=>[4,2,5,1,3,6,7,8]=>2
[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8]=>1
[5,6,7,8,1,2,3,4,9]=>[5,6,7,8,1,2,3,4]=>145
[5,2,6,7,1,3,4,8,9]=>[5,2,6,7,1,3,4,8]=>10
[5,6,3,4,1,2,7,8,9]=>[5,6,3,4,1,2,7,8]=>8
[5,3,2,6,1,4,7,8,9]=>[5,3,2,6,1,4,7,8]=>2
[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8]=>1
[6,7,3,4,8,1,2,5,9]=>[6,7,3,4,8,1,2,5]=>44
[6,3,2,7,8,1,4,5,9]=>[6,3,2,7,8,1,4,5]=>10
[6,4,7,2,5,1,3,8,9]=>[6,4,7,2,5,1,3,8]=>8
[6,4,3,2,7,1,5,8,9]=>[6,4,3,2,7,1,5,8]=>2
[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8]=>1
[7,8,5,6,3,4,1,2,9]=>[7,8,5,6,3,4,1,2]=>56
[7,5,3,8,2,6,1,4,9]=>[7,5,3,8,2,6,1,4]=>8
[7,5,4,3,2,8,1,6,9]=>[7,5,4,3,2,8,1,6]=>2
[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8]=>1
[8,6,5,4,3,2,9,1,7]=>[8,6,5,4,3,2,1,7]=>1
[6,1,2,3,8,7,4,5]=>[6,1,2,3,7,4,5]=>2
[5,1,2,3,8,6,7,4]=>[5,1,2,3,6,7,4]=>1
[5,1,2,3,6,8,7,4]=>[5,1,2,3,6,7,4]=>1
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Description
The evaluation at 1 of the Kazhdan-Lusztig polynomial with parameters given by the identity and the permutation.
These are multiplicities of Verma modules.
These are multiplicities of Verma modules.
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
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