Identifier
-
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00238: Permutations —Clarke-Steingrimsson-Zeng⟶ Permutations
St000223: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>[1]=>0
[1,2]=>[1,2]=>[1,2]=>0
[2,1]=>[1,2]=>[1,2]=>0
[1,2,3]=>[1,2,3]=>[1,2,3]=>0
[1,3,2]=>[1,3,2]=>[1,3,2]=>0
[2,1,3]=>[1,3,2]=>[1,3,2]=>0
[2,3,1]=>[1,2,3]=>[1,2,3]=>0
[3,1,2]=>[1,2,3]=>[1,2,3]=>0
[3,2,1]=>[1,2,3]=>[1,2,3]=>0
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>0
[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>0
[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>0
[1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]=>1
[1,4,2,3]=>[1,4,2,3]=>[1,4,2,3]=>0
[1,4,3,2]=>[1,4,2,3]=>[1,4,2,3]=>0
[2,1,3,4]=>[1,3,4,2]=>[1,4,3,2]=>1
[2,1,4,3]=>[1,4,2,3]=>[1,4,2,3]=>0
[2,3,1,4]=>[1,4,2,3]=>[1,4,2,3]=>0
[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]=>0
[2,4,1,3]=>[1,3,2,4]=>[1,3,2,4]=>0
[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]=>0
[3,1,2,4]=>[1,2,4,3]=>[1,2,4,3]=>0
[3,1,4,2]=>[1,4,2,3]=>[1,4,2,3]=>0
[3,2,1,4]=>[1,4,2,3]=>[1,4,2,3]=>0
[3,2,4,1]=>[1,2,4,3]=>[1,2,4,3]=>0
[3,4,1,2]=>[1,2,3,4]=>[1,2,3,4]=>0
[3,4,2,1]=>[1,2,3,4]=>[1,2,3,4]=>0
[4,1,2,3]=>[1,2,3,4]=>[1,2,3,4]=>0
[4,1,3,2]=>[1,3,2,4]=>[1,3,2,4]=>0
[4,2,1,3]=>[1,3,2,4]=>[1,3,2,4]=>0
[4,2,3,1]=>[1,2,3,4]=>[1,2,3,4]=>0
[4,3,1,2]=>[1,2,3,4]=>[1,2,3,4]=>0
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>0
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0
[1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>1
[1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[1,2,5,4,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>0
[1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>1
[1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>2
[1,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>1
[1,3,5,4,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>1
[1,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[1,4,2,5,3]=>[1,4,2,5,3]=>[1,5,4,2,3]=>1
[1,4,3,2,5]=>[1,4,2,5,3]=>[1,5,4,2,3]=>1
[1,4,3,5,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>1
[1,4,5,3,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>1
[1,5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[1,5,2,4,3]=>[1,5,2,4,3]=>[1,4,5,2,3]=>0
[1,5,3,2,4]=>[1,5,2,4,3]=>[1,4,5,2,3]=>0
[1,5,3,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[1,5,4,2,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[1,5,4,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[2,1,3,4,5]=>[1,3,4,5,2]=>[1,5,3,4,2]=>2
[2,1,3,5,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>1
[2,1,4,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[2,1,4,5,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>1
[2,1,5,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[2,1,5,4,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[2,3,1,4,5]=>[1,4,5,2,3]=>[1,5,2,4,3]=>1
[2,3,1,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[2,3,4,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[2,3,5,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0
[2,4,1,3,5]=>[1,3,5,2,4]=>[1,5,3,2,4]=>1
[2,4,1,5,3]=>[1,5,2,4,3]=>[1,4,5,2,3]=>0
[2,4,3,1,5]=>[1,5,2,4,3]=>[1,4,5,2,3]=>0
[2,4,3,5,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0
[2,4,5,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0
[2,4,5,3,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>1
[2,5,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>1
[2,5,1,4,3]=>[1,4,2,5,3]=>[1,5,4,2,3]=>1
[2,5,3,1,4]=>[1,4,2,5,3]=>[1,5,4,2,3]=>1
[2,5,3,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[2,5,4,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>0
[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[3,1,2,4,5]=>[1,2,4,5,3]=>[1,2,5,4,3]=>1
[3,1,2,5,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[3,1,4,2,5]=>[1,4,2,5,3]=>[1,5,4,2,3]=>1
[3,1,4,5,2]=>[1,4,5,2,3]=>[1,5,2,4,3]=>1
[3,1,5,2,4]=>[1,5,2,4,3]=>[1,4,5,2,3]=>0
[3,1,5,4,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[3,2,1,4,5]=>[1,4,5,2,3]=>[1,5,2,4,3]=>1
[3,2,1,5,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[3,2,4,1,5]=>[1,5,2,4,3]=>[1,4,5,2,3]=>0
[3,2,4,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]=>1
[3,2,5,1,4]=>[1,4,2,5,3]=>[1,5,4,2,3]=>1
[3,2,5,4,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[3,4,1,2,5]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[3,4,1,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[3,4,2,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[3,4,2,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[3,4,5,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[3,4,5,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[3,5,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0
[3,5,1,4,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[3,5,2,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[3,5,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0
[3,5,4,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0
[3,5,4,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0
[4,1,2,3,5]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0
[4,1,2,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[4,1,3,2,5]=>[1,3,2,5,4]=>[1,3,2,5,4]=>0
[4,1,3,5,2]=>[1,3,5,2,4]=>[1,5,3,2,4]=>1
[4,1,5,2,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[4,1,5,3,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[4,2,1,3,5]=>[1,3,5,2,4]=>[1,5,3,2,4]=>1
[4,2,1,5,3]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[4,2,3,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[4,2,3,5,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0
[4,2,5,1,3]=>[1,3,2,5,4]=>[1,3,2,5,4]=>0
[4,2,5,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[4,3,1,2,5]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[4,3,1,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[4,3,2,1,5]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0
[4,3,2,5,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0
[4,3,5,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0
[4,3,5,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0
[4,5,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[4,5,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0
[4,5,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0
[4,5,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[4,5,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[4,5,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[5,1,2,3,4]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[5,1,2,4,3]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0
[5,1,3,2,4]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0
[5,1,3,4,2]=>[1,3,4,2,5]=>[1,4,3,2,5]=>1
[5,1,4,2,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[5,1,4,3,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[5,2,1,3,4]=>[1,3,4,2,5]=>[1,4,3,2,5]=>1
[5,2,1,4,3]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[5,2,3,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[5,2,3,4,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[5,2,4,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0
[5,2,4,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0
[5,3,1,2,4]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0
[5,3,1,4,2]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[5,3,2,1,4]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0
[5,3,2,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0
[5,3,4,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[5,3,4,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[5,4,1,2,3]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[5,4,1,3,2]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0
[5,4,2,1,3]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0
[5,4,2,3,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[5,4,3,1,2]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>1
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>0
[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>1
[1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>2
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[1,2,4,6,5,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[1,2,5,4,3,6]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[1,2,5,4,6,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[1,2,5,6,4,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[1,2,6,4,3,5]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[1,2,6,4,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[1,2,6,5,3,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[1,2,6,5,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0
[1,3,2,5,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>1
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>1
[1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>1
[1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>2
[1,3,4,5,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>3
[1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>2
[1,3,4,6,5,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>2
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[1,6,3,5,2,4]=>2
[1,3,5,4,2,6]=>[1,3,5,2,6,4]=>[1,6,3,5,2,4]=>2
[1,3,5,4,6,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>2
[1,3,5,6,4,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>2
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[1,5,3,6,2,4]=>1
[1,3,6,4,2,5]=>[1,3,6,2,5,4]=>[1,5,3,6,2,4]=>1
[1,3,6,4,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[1,3,6,5,4,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[1,6,4,2,5,3]=>2
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[1,4,3,2,5,6]=>[1,4,2,5,6,3]=>[1,6,4,2,5,3]=>2
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[1,4,3,5,6,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[1,4,3,6,5,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[1,6,5,4,2,3]=>3
[1,4,5,3,2,6]=>[1,4,5,2,6,3]=>[1,6,5,4,2,3]=>3
[1,4,5,3,6,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>2
[1,4,5,6,3,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>2
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[1,5,6,4,2,3]=>2
[1,4,6,3,2,5]=>[1,4,6,2,5,3]=>[1,5,6,4,2,3]=>2
[1,4,6,3,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[1,4,6,5,2,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[1,4,6,5,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[1,5,2,3,6,4]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[1,6,5,2,4,3]=>2
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[1,5,3,2,4,6]=>[1,5,2,4,6,3]=>[1,6,5,2,4,3]=>2
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[1,5,3,4,6,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[1,5,3,6,4,2]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[1,5,4,2,3,6]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[1,5,4,3,6,2]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[1,5,4,6,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[1,5,4,6,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[1,4,6,2,5,3]=>1
[1,5,6,3,2,4]=>[1,5,6,2,4,3]=>[1,4,6,2,5,3]=>1
[1,5,6,3,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[1,5,6,4,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[1,5,6,4,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[1,5,6,2,4,3]=>1
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[1,6,3,2,4,5]=>[1,6,2,4,5,3]=>[1,5,6,2,4,3]=>1
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[1,6,3,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[1,6,3,5,4,2]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[1,6,4,2,3,5]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[1,6,4,3,5,2]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[1,6,4,5,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[1,6,4,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[1,6,5,2,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[1,6,5,3,2,4]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[1,6,5,3,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[1,6,5,4,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>3
[2,1,3,4,6,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>2
[2,1,3,5,4,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[2,1,3,5,6,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>2
[2,1,3,6,4,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[2,1,3,6,5,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[2,1,4,3,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[2,1,4,3,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[2,1,4,5,3,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[2,1,4,5,6,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>2
[2,1,4,6,3,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[2,1,4,6,5,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[2,1,5,3,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[2,1,5,3,6,4]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[2,1,5,4,3,6]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[2,1,5,4,6,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[2,1,5,6,3,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[2,1,5,6,4,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[2,1,6,3,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[2,1,6,3,5,4]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[2,1,6,4,3,5]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[2,1,6,4,5,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[2,1,6,5,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[2,1,6,5,4,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[2,3,1,4,5,6]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>2
[2,3,1,4,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[2,3,1,5,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[2,3,1,5,6,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[2,3,1,6,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[2,3,1,6,5,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[2,3,4,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[2,3,4,5,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[2,3,5,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[2,3,5,1,6,4]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[2,3,5,4,1,6]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[2,3,5,6,4,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>1
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[2,3,6,4,1,5]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[2,4,1,3,5,6]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>2
[2,4,1,3,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[2,4,1,5,6,3]=>[1,5,6,2,4,3]=>[1,4,6,2,5,3]=>1
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[2,4,3,1,5,6]=>[1,5,6,2,4,3]=>[1,4,6,2,5,3]=>1
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>0
[2,4,5,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[2,4,5,1,6,3]=>[1,6,2,4,5,3]=>[1,5,6,2,4,3]=>1
[2,4,5,3,1,6]=>[1,6,2,4,5,3]=>[1,5,6,2,4,3]=>1
[2,4,5,3,6,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>1
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[2,4,5,6,3,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>2
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[2,4,6,1,5,3]=>[1,5,2,4,6,3]=>[1,6,5,2,4,3]=>2
[2,4,6,3,1,5]=>[1,5,2,4,6,3]=>[1,6,5,2,4,3]=>2
[2,4,6,3,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0
[2,4,6,5,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[2,5,1,3,4,6]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>2
[2,5,1,3,6,4]=>[1,3,6,2,5,4]=>[1,5,3,6,2,4]=>1
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[2,5,1,4,6,3]=>[1,4,6,2,5,3]=>[1,5,6,4,2,3]=>2
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[2,5,3,1,4,6]=>[1,4,6,2,5,3]=>[1,5,6,4,2,3]=>2
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[2,5,3,4,6,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[2,5,3,6,4,1]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[2,5,4,1,3,6]=>[1,3,6,2,5,4]=>[1,5,3,6,2,4]=>1
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[2,5,4,3,6,1]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>1
[2,5,6,1,4,3]=>[1,4,2,5,6,3]=>[1,6,4,2,5,3]=>2
[2,5,6,3,1,4]=>[1,4,2,5,6,3]=>[1,6,4,2,5,3]=>2
[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[2,5,6,4,1,3]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>1
[2,5,6,4,3,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>2
[2,6,1,3,5,4]=>[1,3,5,2,6,4]=>[1,6,3,5,2,4]=>2
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[2,6,1,4,5,3]=>[1,4,5,2,6,3]=>[1,6,5,4,2,3]=>3
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[2,6,3,1,4,5]=>[1,4,5,2,6,3]=>[1,6,5,4,2,3]=>3
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[2,6,3,5,4,1]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>[1,6,3,5,2,4]=>2
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[2,6,4,3,5,1]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>1
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[2,6,5,3,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[2,6,5,4,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[3,1,2,4,5,6]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>2
[3,1,2,4,6,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[3,1,2,5,4,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[3,1,2,5,6,4]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[3,1,2,6,4,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[3,1,2,6,5,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[3,1,4,2,5,6]=>[1,4,2,5,6,3]=>[1,6,4,2,5,3]=>2
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[3,1,4,5,2,6]=>[1,4,5,2,6,3]=>[1,6,5,4,2,3]=>3
[3,1,4,5,6,2]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>2
[3,1,4,6,2,5]=>[1,4,6,2,5,3]=>[1,5,6,4,2,3]=>2
[3,1,4,6,5,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[3,1,5,2,4,6]=>[1,5,2,4,6,3]=>[1,6,5,2,4,3]=>2
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[3,1,5,4,6,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[3,1,5,6,2,4]=>[1,5,6,2,4,3]=>[1,4,6,2,5,3]=>1
[3,1,5,6,4,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[3,1,6,2,4,5]=>[1,6,2,4,5,3]=>[1,5,6,2,4,3]=>1
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[3,1,6,4,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[3,1,6,5,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[3,2,1,4,5,6]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>2
[3,2,1,4,6,5]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[3,2,1,5,4,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[3,2,1,6,4,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[3,2,1,6,5,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[3,2,4,1,5,6]=>[1,5,6,2,4,3]=>[1,4,6,2,5,3]=>1
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[3,2,4,5,1,6]=>[1,6,2,4,5,3]=>[1,5,6,2,4,3]=>1
[3,2,4,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>2
[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>[1,6,5,2,4,3]=>2
[3,2,4,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[3,2,5,1,4,6]=>[1,4,6,2,5,3]=>[1,5,6,4,2,3]=>2
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[3,2,5,4,6,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>[1,6,4,2,5,3]=>2
[3,2,5,6,4,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[3,2,6,1,4,5]=>[1,4,5,2,6,3]=>[1,6,5,4,2,3]=>3
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[3,2,6,4,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[3,2,6,5,1,4]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[3,2,6,5,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[3,4,1,2,5,6]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[3,4,1,2,6,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[3,4,1,5,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[3,4,1,6,2,5]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[3,4,1,6,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[3,4,2,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[3,4,2,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[3,4,2,5,1,6]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[3,4,2,5,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[3,4,2,6,1,5]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[3,4,2,6,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[3,4,5,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[3,4,5,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[3,4,5,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[3,4,5,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[3,4,5,6,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[3,4,6,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[3,4,6,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[3,4,6,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[3,4,6,5,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[3,5,1,2,4,6]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[3,5,1,2,6,4]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[3,5,1,4,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[3,5,1,6,2,4]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[3,5,1,6,4,2]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[3,5,2,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[3,5,2,1,6,4]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[3,5,2,4,1,6]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[3,5,2,4,6,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[3,5,2,6,1,4]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[3,5,2,6,4,1]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[3,5,4,1,2,6]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[3,5,4,1,6,2]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[3,5,4,2,1,6]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[3,5,4,2,6,1]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[3,5,4,6,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[3,5,6,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[3,5,6,4,1,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>1
[3,5,6,4,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>1
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>1
[3,6,1,2,5,4]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[3,6,1,4,5,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[3,6,1,5,2,4]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[3,6,1,5,4,2]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[3,6,2,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[3,6,2,1,5,4]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[3,6,2,4,5,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>1
[3,6,2,5,1,4]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[3,6,2,5,4,1]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[3,6,4,1,5,2]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[3,6,4,2,1,5]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[3,6,4,2,5,1]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[3,6,4,5,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>0
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[3,6,5,2,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[3,6,5,2,4,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>0
[3,6,5,4,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[3,6,5,4,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[4,1,2,3,5,6]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>1
[4,1,2,3,6,5]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[4,1,2,5,3,6]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[4,1,2,5,6,3]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[4,1,2,6,3,5]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[4,1,2,6,5,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[4,1,3,2,5,6]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>1
[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[4,1,3,5,2,6]=>[1,3,5,2,6,4]=>[1,6,3,5,2,4]=>2
[4,1,3,5,6,2]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>2
[4,1,3,6,2,5]=>[1,3,6,2,5,4]=>[1,5,3,6,2,4]=>1
[4,1,3,6,5,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[4,1,5,2,3,6]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[4,1,5,2,6,3]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[4,1,5,3,6,2]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[4,1,5,6,2,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[4,1,5,6,3,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[4,1,6,2,3,5]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[4,1,6,2,5,3]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[4,1,6,3,2,5]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[4,1,6,3,5,2]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[4,1,6,5,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,1,6,5,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,2,1,3,5,6]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>2
[4,2,1,3,6,5]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[4,2,1,5,3,6]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[4,2,1,5,6,3]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[4,2,1,6,3,5]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[4,2,1,6,5,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,2,3,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[4,2,3,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,2,3,5,1,6]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[4,2,3,5,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>1
[4,2,3,6,1,5]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[4,2,3,6,5,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[4,2,5,1,3,6]=>[1,3,6,2,5,4]=>[1,5,3,6,2,4]=>1
[4,2,5,1,6,3]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[4,2,5,3,1,6]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[4,2,5,3,6,1]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[4,2,5,6,1,3]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>1
[4,2,5,6,3,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[4,2,6,1,3,5]=>[1,3,5,2,6,4]=>[1,6,3,5,2,4]=>2
[4,2,6,1,5,3]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[4,2,6,3,1,5]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[4,2,6,3,5,1]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[4,2,6,5,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[4,2,6,5,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[4,3,1,2,5,6]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[4,3,1,2,6,5]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[4,3,1,5,2,6]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[4,3,1,5,6,2]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[4,3,1,6,2,5]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[4,3,1,6,5,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,3,2,1,5,6]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>1
[4,3,2,1,6,5]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,3,2,5,1,6]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>0
[4,3,2,5,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>1
[4,3,2,6,1,5]=>[1,5,2,6,3,4]=>[1,6,5,2,3,4]=>1
[4,3,2,6,5,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[4,3,5,1,2,6]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[4,3,5,1,6,2]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[4,3,5,2,1,6]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>0
[4,3,5,2,6,1]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>0
[4,3,5,6,1,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>1
[4,3,5,6,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>1
[4,3,6,1,2,5]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[4,3,6,1,5,2]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[4,3,6,2,1,5]=>[1,5,2,3,6,4]=>[1,6,2,5,3,4]=>1
[4,3,6,2,5,1]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>1
[4,3,6,5,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[4,3,6,5,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[4,5,1,2,3,6]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[4,5,1,2,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[4,5,1,3,2,6]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[4,5,1,3,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[4,5,1,6,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,5,1,6,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,5,2,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[4,5,2,1,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,5,2,3,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,5,2,3,6,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[4,5,2,6,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[4,5,2,6,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[4,5,3,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[4,5,3,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,5,3,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[4,5,3,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[4,5,3,6,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[4,5,3,6,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[4,5,6,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[4,5,6,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[4,5,6,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[4,5,6,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[4,6,1,2,5,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0
[4,6,1,3,5,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[4,6,1,5,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[4,6,1,5,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[4,6,2,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[4,6,2,1,5,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[4,6,2,3,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[4,6,2,3,5,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[4,6,2,5,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0
[4,6,2,5,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[4,6,3,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[4,6,3,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[4,6,3,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[4,6,3,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[4,6,3,5,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[4,6,3,5,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0
[4,6,5,2,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0
[4,6,5,2,3,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[4,6,5,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[4,6,5,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[5,1,2,3,4,6]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[5,1,2,3,6,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[5,1,2,4,3,6]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>0
[5,1,2,4,6,3]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[5,1,2,6,3,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,1,2,6,4,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,1,3,2,4,6]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0
[5,1,3,2,6,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[5,1,3,4,2,6]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>1
[5,1,3,4,6,2]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>2
[5,1,3,6,2,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[5,1,3,6,4,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[5,1,4,2,3,6]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[5,1,4,2,6,3]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[5,1,4,3,2,6]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[5,1,4,3,6,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[5,1,4,6,2,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[5,1,4,6,3,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[5,1,6,2,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,1,6,2,4,3]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[5,1,6,3,2,4]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[5,1,6,3,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,1,6,4,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,1,6,4,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,2,1,3,4,6]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>2
[5,2,1,3,6,4]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[5,2,1,4,3,6]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[5,2,1,4,6,3]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[5,2,1,6,3,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,2,1,6,4,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,2,3,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[5,2,3,1,6,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,2,3,4,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,2,3,4,6,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[5,2,3,6,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[5,2,3,6,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[5,2,4,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[5,2,4,1,6,3]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[5,2,4,3,1,6]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[5,2,4,3,6,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>0
[5,2,4,6,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0
[5,2,4,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[5,2,6,1,3,4]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>1
[5,2,6,1,4,3]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[5,2,6,3,1,4]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[5,2,6,3,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,2,6,4,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[5,2,6,4,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,3,1,2,4,6]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[5,3,1,2,6,4]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,3,1,4,2,6]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[5,3,1,4,6,2]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[5,3,1,6,2,4]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[5,3,1,6,4,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,3,2,1,4,6]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>1
[5,3,2,1,6,4]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,3,2,4,1,6]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>0
[5,3,2,4,6,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>1
[5,3,2,6,1,4]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>1
[5,3,2,6,4,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,3,4,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,3,4,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,3,4,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,3,4,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,3,4,6,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[5,3,4,6,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[5,3,6,1,2,4]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>0
[5,3,6,1,4,2]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[5,3,6,2,1,4]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>0
[5,3,6,2,4,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>0
[5,3,6,4,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[5,3,6,4,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[5,4,1,2,3,6]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[5,4,1,2,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,4,1,3,2,6]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[5,4,1,3,6,2]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[5,4,1,6,2,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,4,1,6,3,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,4,2,1,3,6]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>1
[5,4,2,1,6,3]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,4,2,3,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,4,2,3,6,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[5,4,2,6,1,3]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>0
[5,4,2,6,3,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,4,3,1,2,6]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,4,3,1,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,4,3,2,1,6]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>0
[5,4,3,2,6,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>0
[5,4,3,6,1,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[5,4,3,6,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>0
[5,4,6,1,2,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[5,4,6,1,3,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0
[5,4,6,2,1,3]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>0
[5,4,6,2,3,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[5,4,6,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[5,4,6,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>0
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>1
[5,6,1,4,2,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[5,6,1,4,3,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[5,6,2,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>1
[5,6,2,1,4,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[5,6,2,3,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[5,6,2,3,4,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[5,6,2,4,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[5,6,2,4,3,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[5,6,3,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[5,6,3,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[5,6,3,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[5,6,3,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[5,6,3,4,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[5,6,3,4,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[5,6,4,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[5,6,4,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[5,6,4,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[5,6,4,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[5,6,4,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[5,6,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,1,2,3,5,4]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[6,1,2,4,3,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[6,1,2,4,5,3]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>1
[6,1,2,5,3,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,1,2,5,4,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,1,3,2,4,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[6,1,3,2,5,4]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0
[6,1,3,4,2,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>1
[6,1,3,4,5,2]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>2
[6,1,3,5,2,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[6,1,3,5,4,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[6,1,4,2,3,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,1,4,2,5,3]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[6,1,4,3,2,5]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[6,1,4,3,5,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,1,4,5,2,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[6,1,4,5,3,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[6,1,5,2,3,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,1,5,2,4,3]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[6,1,5,3,2,4]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[6,1,5,3,4,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,1,5,4,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,1,5,4,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,2,1,3,4,5]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>2
[6,2,1,3,5,4]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[6,2,1,4,3,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,2,1,4,5,3]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[6,2,1,5,3,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,2,1,5,4,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,2,3,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[6,2,3,1,5,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,2,3,4,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,2,3,4,5,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,2,3,5,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,2,3,5,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[6,2,4,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[6,2,4,1,5,3]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[6,2,4,3,1,5]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[6,2,4,3,5,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[6,2,4,5,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[6,2,4,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>1
[6,2,5,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>1
[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[6,2,5,3,1,4]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[6,2,5,3,4,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,2,5,4,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0
[6,2,5,4,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,3,1,2,4,5]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>1
[6,3,1,2,5,4]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,3,1,4,2,5]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[6,3,1,4,5,2]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[6,3,1,5,2,4]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[6,3,1,5,4,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,3,2,1,4,5]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>1
[6,3,2,1,5,4]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,3,2,4,1,5]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>0
[6,3,2,4,5,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>1
[6,3,2,5,1,4]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>1
[6,3,2,5,4,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,3,4,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,3,4,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,3,4,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,3,4,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,3,4,5,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,3,4,5,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,3,5,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[6,3,5,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,3,5,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,3,5,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[6,3,5,4,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[6,3,5,4,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[6,4,1,2,3,5]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[6,4,1,2,5,3]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,4,1,3,2,5]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0
[6,4,1,3,5,2]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[6,4,1,5,2,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,4,1,5,3,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,4,2,1,3,5]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>1
[6,4,2,1,5,3]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,4,2,3,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,4,2,3,5,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[6,4,2,5,1,3]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>0
[6,4,2,5,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,4,3,1,2,5]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,4,3,1,5,2]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,4,3,2,1,5]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>0
[6,4,3,2,5,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>0
[6,4,3,5,1,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[6,4,3,5,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>0
[6,4,5,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,4,5,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[6,4,5,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[6,4,5,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,4,5,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,4,5,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,5,1,2,3,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,5,1,2,4,3]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[6,5,1,3,2,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[6,5,1,3,4,2]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>1
[6,5,1,4,2,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,5,1,4,3,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,5,2,1,3,4]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>1
[6,5,2,1,4,3]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,5,2,3,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,5,2,3,4,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,5,2,4,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[6,5,2,4,3,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[6,5,3,1,2,4]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[6,5,3,1,4,2]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,5,3,2,1,4]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>0
[6,5,3,2,4,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>0
[6,5,3,4,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,5,3,4,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,5,4,1,2,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,5,4,1,3,2]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[6,5,4,2,1,3]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>0
[6,5,4,2,3,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,5,4,3,1,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[1,5,3,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[1,5,4,7,6,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,2,6,5,3,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,3,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,3,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,3,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,3,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,3,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[1,7,3,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[1,7,4,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,4,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,4,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,4,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,4,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[1,7,4,6,5,2,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[1,7,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,5,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,5,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,5,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,5,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,5,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,5,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[1,7,5,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[1,7,5,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[1,7,5,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,5,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[1,7,6,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[1,7,6,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,6,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,6,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,6,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,6,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[1,7,6,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,6,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[1,7,6,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,6,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,6,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[1,7,6,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[1,7,6,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,1,5,3,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[2,1,5,4,7,6,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[2,1,7,3,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,1,7,3,4,6,5]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[2,1,7,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[2,1,7,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,1,7,3,6,5,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,1,7,4,5,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,1,7,4,5,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,1,7,4,6,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[2,1,7,4,6,5,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[2,1,7,5,3,4,6]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[2,1,7,5,3,6,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,1,7,5,4,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,1,7,5,4,6,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[2,1,7,5,6,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,1,7,5,6,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,1,7,6,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,1,7,6,3,5,4]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[2,1,7,6,4,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[2,1,7,6,4,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,1,7,6,5,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,1,7,6,5,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[2,3,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[2,3,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,3,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,3,4,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,3,4,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,3,4,5,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,3,4,5,6,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[2,3,4,6,1,7,5]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[2,3,4,6,5,1,7]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[2,3,4,7,6,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[2,3,5,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[2,3,5,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[2,3,5,4,1,7,6]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[2,3,5,4,6,1,7]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[2,3,6,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,3,6,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,3,6,4,1,7,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,3,6,4,5,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,3,6,5,1,7,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,3,6,5,4,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[2,4,1,7,3,5,6]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[2,4,1,7,5,6,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[2,4,1,7,6,3,5]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[2,4,1,7,6,5,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[2,4,3,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[2,4,3,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[2,4,3,5,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[2,4,3,5,6,1,7]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,1,7,4,6,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,1,7,6,3,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,1,7,6,4,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,3,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,3,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,3,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,4,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,4,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,4,6,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,5,4,6,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[2,6,1,7,4,5,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,1,7,5,3,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,1,7,5,4,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,3,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,3,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,3,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,3,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[2,6,4,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[2,6,4,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,4,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,5,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,5,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,5,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,5,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,5,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[2,6,5,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[3,1,7,2,5,4,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,1,7,2,6,4,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,1,7,2,6,5,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,1,7,4,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,1,7,4,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,1,7,4,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,1,7,4,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,1,7,4,6,5,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[3,1,7,5,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,1,7,5,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,1,7,5,4,6,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[3,1,7,5,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[3,1,7,5,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,2,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[3,2,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,2,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[3,2,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[3,2,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,2,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,2,4,1,7,5,6]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[3,2,4,1,7,6,5]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,2,5,4,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,2,5,4,6,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,2,6,1,7,4,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,2,6,1,7,5,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,2,6,4,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,2,6,4,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,2,6,5,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,2,6,5,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,4,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,4,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,4,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,4,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,4,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,4,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,4,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,4,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,4,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,4,5,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,4,5,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,4,5,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[3,4,5,6,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,4,5,6,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[3,4,5,7,6,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[3,4,5,7,6,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,4,6,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[3,4,6,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[3,4,6,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[3,4,6,5,1,7,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[3,4,6,5,2,1,7]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[3,4,6,5,7,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[3,4,6,5,7,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[3,4,7,6,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[3,5,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[3,5,6,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[3,5,6,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,1,7,3,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,1,7,5,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,1,7,5,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,1,7,5,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,1,7,5,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,1,7,6,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,1,7,6,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,1,7,6,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,1,7,6,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,2,1,7,5,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,2,1,7,6,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,2,3,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,2,3,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,2,5,1,7,6,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,2,5,3,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[4,2,6,1,7,5,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,2,6,3,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[4,2,6,5,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,2,6,5,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,3,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,3,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,3,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,3,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,3,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,3,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,3,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>0
[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,5,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,5,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,5,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,5,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,5,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,5,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,5,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[4,5,6,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,6,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,6,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,6,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[4,5,7,6,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[4,5,7,6,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[4,5,7,6,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[4,5,7,6,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,6,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,6,1,7,5,2,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,1,7,5,3,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,6,2,1,7,5,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,2,3,1,7,5]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,6,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,6,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,6,3,1,7,5,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[4,6,5,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,5,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,5,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,5,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,5,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,5,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[4,6,5,7,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[4,6,5,7,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[4,6,5,7,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[4,7,6,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[4,7,6,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[4,7,6,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[4,7,6,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[4,7,6,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[4,7,6,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[5,1,7,2,3,4,6]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,1,7,2,6,3,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,1,7,2,6,4,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,1,7,3,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,1,7,3,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,1,7,3,4,6,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,1,7,4,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,1,7,4,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,1,7,4,6,2,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,1,7,4,6,3,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,1,7,6,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,1,7,6,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,1,7,6,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,1,7,6,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,1,7,6,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,1,7,6,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,2,1,7,4,6,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,2,1,7,6,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,2,1,7,6,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,2,3,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,2,3,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,2,3,4,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,2,3,4,6,1,7]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,2,4,1,7,6,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,2,4,3,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,2,6,1,7,3,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,2,6,1,7,4,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,2,6,3,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,2,6,3,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,2,6,4,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,2,6,4,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,3,1,7,4,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,3,1,7,4,6,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,3,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,3,1,7,6,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,3,2,1,7,4,6]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,3,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,3,2,6,4,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,3,4,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,3,4,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,3,4,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,3,4,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,3,4,6,1,7,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,3,4,6,2,1,7]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,4,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,4,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,4,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,4,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,4,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,4,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,4,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,4,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>0
[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>0
[5,4,6,1,7,2,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,4,6,1,7,3,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,4,6,2,1,7,3]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,4,6,2,3,1,7]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,4,6,3,1,7,2]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,4,6,3,2,1,7]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>0
[5,6,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,6,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,6,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,6,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[5,6,7,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[5,6,7,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[5,6,7,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[5,6,7,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[5,6,7,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[5,6,7,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[5,6,7,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[5,7,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[5,7,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[5,7,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[5,7,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[5,7,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[5,7,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[5,7,6,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[5,7,6,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[5,7,6,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[5,7,6,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[5,7,6,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[5,7,6,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[5,7,6,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,1,2,3,4,5,7]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,1,5,2,3,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,1,5,3,4,7,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,1,5,4,7,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,1,5,4,7,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,1,7,2,4,3,5]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,1,7,2,5,3,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,1,7,2,5,4,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,1,7,3,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,1,7,3,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,1,7,3,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,1,7,3,5,4,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,1,7,4,2,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,1,7,4,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,1,7,4,3,5,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,1,7,4,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,1,7,4,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,1,7,5,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,1,7,5,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,1,7,5,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,1,7,5,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,1,7,5,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,2,1,5,3,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,2,1,5,4,7,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,2,1,7,3,5,4]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,2,1,7,4,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,2,1,7,4,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,2,1,7,5,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,2,1,7,5,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,2,3,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,2,3,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,2,3,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,2,3,4,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,2,3,4,5,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,2,3,4,5,7,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,2,3,4,7,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,2,3,5,1,7,4]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,2,3,5,4,1,7]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,2,4,1,7,3,5]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,2,4,1,7,5,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,2,4,3,5,1,7]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,2,5,1,7,3,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,2,5,3,1,7,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,2,5,3,4,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,2,5,4,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,2,5,4,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,3,1,5,4,7,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,3,1,7,2,5,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,3,1,7,4,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,3,1,7,4,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,3,1,7,5,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,3,1,7,5,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,3,2,1,5,4,7]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,3,2,1,7,4,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,3,2,1,7,5,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,3,2,5,1,7,4]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,3,2,5,4,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,3,4,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,3,4,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,3,4,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,3,4,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,3,4,5,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,3,4,5,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,3,4,5,7,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,3,4,5,7,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,3,4,7,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,3,4,7,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,3,5,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,3,5,2,1,7,4]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,3,5,4,1,7,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,3,5,4,2,1,7]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,4,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,4,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,4,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,4,1,7,5,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,1,7,5,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,4,2,1,7,5,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,2,3,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,4,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,4,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,4,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,4,3,1,7,5,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>0
[6,4,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,4,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>0
[6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,5,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,5,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,5,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,5,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,5,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,4,5,7,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,4,5,7,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,4,5,7,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,4,5,7,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,4,7,1,5,2,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,4,7,1,5,3,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,4,7,2,1,5,3]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,4,7,2,3,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,4,7,3,2,1,5]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>0
[6,5,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,5,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,5,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,5,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,5,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,5,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>0
[6,5,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>0
[6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,5,7,2,3,4,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,5,7,3,4,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,5,7,3,4,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,5,7,4,1,2,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,5,7,4,2,3,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,5,7,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,5,7,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>0
[6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[6,7,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[6,7,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[6,7,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[6,7,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[6,7,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[6,7,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,2,3,4,5,6,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,2,3,4,6,5,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,2,4,5,6,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,3,4,5,6,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,3,4,5,6,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,3,4,6,5,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,3,4,6,5,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,4,5,6,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,4,5,6,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,4,5,6,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,4,5,6,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,4,6,5,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,4,6,5,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,4,6,5,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,4,6,5,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,5,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,5,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,5,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,5,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,5,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,5,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,5,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>0
[7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,5,6,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,5,6,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,5,6,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,5,6,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,5,6,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,5,6,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>0
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,5,6,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,5,8,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[7,5,6,8,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,4,5,8,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[7,4,5,6,8,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[6,7,8,3,4,5,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[7,6,5,4,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,4,5,7,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[4,5,6,7,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[7,6,3,4,5,8,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[6,7,8,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,5,4,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,7,4,5,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,4,5,7,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[4,5,6,7,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,7,2,3,4,5,8,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[5,6,7,8,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[6,7,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[7,5,6,8,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,5,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[7,8,4,5,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[7,8,3,4,5,6,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,5,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,5,7,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[5,6,7,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[4,5,6,7,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[3,4,5,6,7,8,1,2]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[6,7,4,5,8,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[7,8,5,6,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[7,6,5,8,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[7,8,5,6,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[6,7,5,8,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[5,6,7,8,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,8,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[6,7,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[7,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[6,7,8,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[6,7,8,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[6,7,8,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[6,7,8,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[6,7,8,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[8,7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[6,7,8,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[8,7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[6,7,8,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,8,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,5,4,3,2,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[7,8,4,5,2,3,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[7,8,5,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[7,8,4,5,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[8,6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[8,6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[8,5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[7,6,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,7,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,5,7,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[5,6,7,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,4,5,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,4,5,6,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,5,4,7,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[4,5,6,7,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,5,6,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,6,7,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,4,3,5,2,1,8]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[7,6,3,4,5,2,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,5,4,3,6,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[6,7,5,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,6,7,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,7,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,4,5,6,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,6,4,7,2,3,1,8]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[4,5,6,7,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,7,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,5,6,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,5,7,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[5,6,7,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,7,3,4,2,5,1,8]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[7,4,5,2,3,6,1,8]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[5,6,3,4,2,7,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[4,5,3,6,2,7,1,8]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[2,3,4,5,6,7,1,8]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,5,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,6,7,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[4,5,6,7,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,7,1,2,3,4,5,8]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[5,8,7,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[6,5,8,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[3,7,6,8,5,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[3,4,5,8,7,6,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[5,7,6,4,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[2,3,5,4,7,6,8,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0
[2,4,3,6,5,7,8,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>0
[1,8,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,6,8,7,5,4,3,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[1,7,6,8,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,7,6,5,8,4,3,2]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[1,4,8,7,6,5,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[1,4,3,7,6,8,5,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[1,6,5,4,3,8,7,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[1,4,5,3,6,7,8,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[1,4,3,5,6,7,8,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[2,1,8,7,6,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,1,7,6,5,8,4,3]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[2,1,6,7,5,8,4,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[2,1,6,5,7,8,4,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[2,1,4,8,7,6,5,3]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[2,1,5,4,7,6,8,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[3,2,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,2,1,6,8,7,5,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[3,2,1,7,6,8,5,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,2,1,7,6,5,8,4]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[3,2,1,6,7,5,8,4]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[3,2,1,6,5,7,8,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[2,3,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,3,2,8,7,6,5,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[1,2,3,6,8,7,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>1
[1,2,3,7,6,8,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[1,2,3,7,6,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>1
[1,2,3,6,5,7,8,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[4,3,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,3,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[4,3,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,4,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,4,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[3,4,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[2,3,4,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,4,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[2,3,4,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[2,1,4,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[3,2,1,4,8,7,6,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[3,2,1,4,7,6,8,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[2,3,1,4,8,7,6,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[2,3,1,4,7,6,8,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[5,4,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,5,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,5,4,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[4,3,5,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[3,4,5,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,5,4,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[3,2,5,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[2,3,5,4,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[4,3,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[3,4,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[2,3,4,5,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[6,5,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,6,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,5,6,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,6,5,4,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[4,3,6,5,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[5,4,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[4,5,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[4,3,5,6,2,1,8,7]=>[1,8,2,3,5,6,4,7]=>[1,6,2,8,3,5,4,7]=>1
[2,3,6,5,4,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[5,4,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,5,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[3,2,5,4,6,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[2,3,4,5,6,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,1,6,5,4,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[2,1,5,4,6,3,8,7]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[5,4,3,2,1,6,8,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[2,1,5,4,3,6,8,7]=>[1,5,2,3,6,8,4,7]=>[1,8,2,5,3,6,4,7]=>2
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[5,7,6,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[4,7,6,5,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[3,4,7,6,5,2,1,8]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[3,2,7,6,5,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,4,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[4,5,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[2,3,4,5,7,6,1,8]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[2,1,6,7,5,4,3,8]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[4,3,2,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[4,3,2,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[2,3,4,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[2,3,4,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>2
[3,2,1,4,7,6,5,8]=>[1,4,7,2,3,5,8,6]=>[1,8,2,4,3,7,5,6]=>2
[5,4,3,2,1,7,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,2,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[2,3,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>0
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[4,3,2,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[2,3,4,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>0
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[1,2,3,7,5,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[1,2,3,8,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[1,2,3,8,5,7,6,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[1,2,3,8,6,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[1,2,3,8,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[1,3,2,8,6,5,7,4]=>[1,3,2,8,4,5,7,6]=>[1,3,2,7,4,8,5,6]=>0
[1,5,3,4,6,7,8,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[1,8,4,7,6,5,3,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[1,8,5,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[1,8,7,4,5,6,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,8,6,5,4,7,3,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[1,8,7,5,6,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,1,6,4,5,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[2,1,8,5,4,7,6,3]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[2,1,8,7,5,6,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,4,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,6,4,5,1,8,7]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[2,3,7,4,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[2,5,3,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[3,2,1,7,5,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,2,1,8,5,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,2,1,8,5,7,6,4]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[3,2,1,8,6,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[3,2,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,2,3,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[4,2,3,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,2,3,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,2,3,5,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[4,2,3,7,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[4,2,3,7,6,5,8,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[4,2,3,8,7,6,5,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,2,3,4,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,2,3,6,5,4,1,8]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[4,3,2,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,3,2,5,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[5,3,4,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,3,6,5,4,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[7,4,3,6,5,2,1,8]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[6,5,3,4,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,3,5,4,2,1,8]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[8,7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[8,7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[8,7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[2,1,4,6,8,3,5,7]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>2
[2,4,5,6,7,8,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[2,1,5,3,7,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,8,2,5,3,7,4,6]=>2
[2,3,5,1,7,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[2,3,5,6,7,8,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[2,1,6,3,7,4,5,8]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[2,3,1,6,8,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[2,3,6,1,8,4,5,7]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[2,3,4,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[2,3,4,6,7,8,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[2,7,1,8,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[2,3,4,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[2,3,4,7,1,8,5,6]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[2,3,4,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[2,3,4,5,7,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[2,3,4,5,7,8,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[2,1,8,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,1,4,8,5,6,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[2,3,4,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,4,5,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,4,5,8,1,6,7]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[2,3,4,5,6,8,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,4,6,7,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[3,4,5,6,7,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>0
[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0
[4,5,6,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[4,5,6,8,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[4,5,6,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[4,5,6,7,1,8,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,5,1,7,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[4,5,7,8,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[1,4,2,5,8,3,6,7]=>[1,4,2,5,8,3,6,7]=>[1,8,4,2,5,3,6,7]=>2
[4,6,7,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[4,6,7,8,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[4,6,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[4,6,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[4,1,2,3,6,8,5,7]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>1
[4,1,2,3,6,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[4,1,2,3,6,7,5,8]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>1
[4,7,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,6,2,8,3,5,4,7]=>1
[4,1,2,3,7,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[4,1,2,3,7,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0
[4,1,2,3,8,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[1,5,2,3,6,4,7,8]=>[1,5,2,3,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>1
[1,5,2,3,7,4,6,8]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[6,7,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,1,7,2,3,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[6,1,8,2,3,4,5,7]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[1,6,8,2,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[6,1,2,3,4,5,8,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[7,1,8,2,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,7,2,3,8,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[7,1,2,3,4,5,8,6]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[8,4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[7,4,5,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[6,4,5,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,4,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[5,7,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[3,8,1,5,4,7,6,2]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[5,8,4,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[6,8,4,3,7,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[7,8,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[6,8,5,7,3,1,4,2]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0
[4,8,6,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[3,8,1,6,7,4,5,2]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[2,1,8,6,7,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,1,7,6,8,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0
[2,1,5,8,3,7,6,4]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[2,1,6,8,7,3,5,4]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[6,5,8,7,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[7,5,8,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0
[3,8,1,7,6,5,4,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[5,8,7,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[8,7,6,5,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[6,5,4,3,2,1,10,9,8,7]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[4,3,2,1,10,9,8,7,6,5]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[2,1,10,9,8,7,6,5,4,3]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[7,8,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[8,7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[8,7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>0
[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>0
[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0
[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0
[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[7,6,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>0
[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>0
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[8,7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>1
[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,1,5,2,3,8,4,7]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[3,1,8,6,2,7,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[7,1,4,8,2,3,5,6]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[7,1,8,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[8,1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[7,4,1,5,2,3,8,6]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[7,4,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,6,2,8,3,5,4,7]=>1
[7,4,1,6,2,3,8,5]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[8,7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,7,1,5,2,3,8,4]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[8,4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[4,3,1,8,6,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[2,3,8,1,6,7,4,5]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[7,5,4,1,2,3,8,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,7,4,1,2,3,8,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,7,5,1,2,3,8,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[8,5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[8,5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[7,8,5,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[5,3,4,1,8,7,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[2,3,8,6,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[6,3,4,5,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[8,6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[2,3,4,7,6,1,8,5]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[2,3,8,7,6,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>1
[2,7,4,5,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[7,3,4,5,6,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,4,8,6,7,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[2,8,4,5,6,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[4,5,7,2,3,8,6,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[4,5,7,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[4,5,6,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[4,6,7,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[4,5,7,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[3,5,1,7,4,8,6,2]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[4,5,7,3,1,8,6,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[4,6,7,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[4,6,7,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[4,6,7,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[4,5,7,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[4,5,7,2,1,8,6,3]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[4,6,7,1,8,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[5,6,7,8,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[6,5,8,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[3,6,7,4,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>1
[1,6,7,4,5,2,3,8]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[1,5,4,7,6,2,3,8]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[3,5,4,7,6,8,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0
[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,3,8,4,5,7,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[7,8,1,4,5,2,3,6]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[4,1,3,2,8,6,5,7]=>[1,3,2,8,4,5,7,6]=>[1,3,2,7,4,8,5,6]=>0
[7,8,1,3,2,5,4,6]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[5,2,3,8,1,6,7,4]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[6,3,8,2,1,7,5,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[7,8,3,2,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[5,4,1,8,7,2,3,6]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[5,2,1,8,3,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[6,4,5,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,6,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,5,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[8,6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[7,6,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[6,7,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[4,7,5,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,7,6,8,3,4,5]=>1
[6,8,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[4,8,6,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[2,1,8,6,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,1,7,6,8,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[5,4,7,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,7,6,8,3,4,5]=>1
[7,4,6,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[8,4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[2,1,5,8,3,7,4,6]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[2,1,6,8,7,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[4,6,8,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[2,1,8,7,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[5,4,2,7,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,4,3,6,8,7,1,2]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>1
[5,3,2,6,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,3,2,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[4,3,2,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,3,8,2,1,5,4,7]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[7,8,3,2,1,5,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[5,3,2,7,1,8,6,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[6,3,7,2,1,5,4,8]=>[1,5,2,3,7,4,8,6]=>[1,8,2,5,3,7,4,6]=>2
[6,3,7,2,1,5,8,4]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[7,8,3,2,1,6,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,3,8,2,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,3,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[4,3,2,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[4,3,2,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[7,8,3,2,1,4,6,5]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>1
[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[7,8,1,3,2,6,5,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[7,8,2,3,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[7,8,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[1,6,8,2,3,7,5,4]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[3,5,4,8,7,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[5,2,3,8,1,7,6,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[4,1,3,2,8,7,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[5,3,1,8,2,7,6,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,4,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[4,5,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,5,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[3,4,5,8,7,6,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[2,3,5,8,1,7,6,4]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[6,1,3,2,5,4,8,7]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>0
[7,1,3,2,5,4,8,6]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>0
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>0
[2,1,7,3,5,4,8,6]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[4,1,3,2,8,5,7,6]=>[1,3,2,8,4,5,7,6]=>[1,3,2,7,4,8,5,6]=>0
[2,1,5,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[4,5,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[7,4,5,3,8,2,1,6]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[6,7,4,8,3,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[6,7,4,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[7,4,5,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,7,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[6,7,4,8,3,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[6,7,4,8,3,5,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,6,7,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,6,1,7,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[5,1,6,7,3,8,4,2]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[6,7,8,3,1,4,5,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[6,7,2,8,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[5,6,7,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,6,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,6,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[6,7,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,7,4,2,1,8,3,5]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[5,6,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[4,6,7,8,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,3,2,7,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[7,5,3,8,4,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[3,7,4,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[7,8,3,4,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[3,6,2,7,1,8,5,4]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[7,4,5,8,6,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0
[6,7,8,2,1,5,4,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[8,1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[1,8,6,7,4,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[7,8,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[1,7,6,8,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[5,6,8,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[6,5,8,3,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,8,2,4,3,7,5,6]=>2
[4,5,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,4,3,1,8,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[1,5,8,3,7,6,4,2]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[6,5,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,7,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[1,6,8,7,3,5,4,2]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[7,8,1,6,5,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[4,8,2,1,7,6,3,5]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[5,1,8,2,7,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[6,1,8,7,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[8,1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[4,5,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,4,1,2,3,8,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,4,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,4,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[6,4,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[7,4,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[1,8,2,6,3,5,4,7]=>2
[8,6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[1,8,6,7,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,7,6,8,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,6,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[4,7,1,2,8,3,6,5]=>[1,2,8,3,6,4,7,5]=>[1,2,7,6,8,3,4,5]=>1
[4,7,1,6,2,3,5,8]=>[1,6,2,3,5,8,4,7]=>[1,8,2,6,3,5,4,7]=>2
[1,5,8,3,7,4,6,2]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[1,6,8,7,3,4,5,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[6,8,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0
[1,8,7,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,3,6,2,7,1,8,5]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[2,1,5,4,7,3,8,6]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[3,1,5,4,7,6,8,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[4,1,5,3,7,6,8,2]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[4,3,5,1,7,6,8,2]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[4,3,6,1,7,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[4,3,6,5,7,1,8,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[5,3,6,4,7,2,8,1]=>[1,2,8,3,6,4,7,5]=>[1,2,7,6,8,3,4,5]=>1
[4,1,6,3,7,5,8,2]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[5,3,6,2,7,1,8,4]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[5,2,6,3,7,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,8,7,6,3,4,5]=>3
[3,2,6,1,7,5,8,4]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[3,2,6,5,7,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,2,6,5,7,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,2,6,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[2,1,5,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[2,1,6,3,7,5,8,4]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[2,1,6,5,7,3,8,4]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[4,1,6,5,7,3,8,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[5,7,4,3,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[8,5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[4,6,3,8,7,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[1,7,4,8,6,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[8,4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0
[4,8,1,6,7,3,5,2]=>[1,6,7,2,3,5,4,8]=>[1,5,2,7,3,6,4,8]=>1
[3,6,4,1,8,7,5,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[2,3,5,7,6,8,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0
[2,1,6,5,7,8,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4,8]=>[1,7,2,5,3,6,4,8]=>2
[4,6,1,8,7,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[8,2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[2,7,6,8,5,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[8,7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[5,6,3,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[2,1,6,8,5,7,3,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[3,7,6,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[8,5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[5,1,8,4,7,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[6,5,3,8,4,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[6,4,3,8,2,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[7,1,8,4,5,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[5,7,8,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[4,1,3,2,6,8,7,5]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>1
[5,8,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[8,7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[2,1,7,6,5,8,3,4]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[6,8,3,5,2,1,7,4]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[7,8,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[2,1,5,3,8,6,7,4]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[6,4,3,5,8,1,7,2]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[7,3,5,4,8,6,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,1,4,8,5,6,7,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[6,3,7,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[3,8,7,4,5,2,1,6]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[5,7,1,4,8,6,2,3]=>[1,4,8,2,3,5,7,6]=>[1,7,2,4,3,8,5,6]=>1
[5,6,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,4,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[5,4,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[7,5,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,4,3,8,1,7,5,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[5,3,8,7,6,4,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,5,8,6,3,7,4,2]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[4,6,1,8,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[6,2,8,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[7,6,5,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,2,7,6,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[6,5,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[5,2,7,4,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[7,8,3,6,2,1,5,4]=>[1,5,2,3,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>1
[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[7,6,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,5,1,8,2,6,4,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,8,1,7,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,1,8,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,2,7,6,4,5,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,7,6,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,8,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[5,8,6,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,8,2,4,3,7,5,6]=>2
[1,8,6,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[7,1,6,8,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[1,7,6,8,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,5,8,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,8,2,4,3,7,5,6]=>2
[5,4,2,3,8,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[3,2,5,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,4,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,4,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,6,2,8,3,5,4,7]=>1
[3,2,7,1,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[4,7,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[1,6,2,8,3,5,4,7]=>1
[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,6,8,7,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[7,8,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,8,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,2,1,8,7,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,1,8,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,8,7,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,5,2,7,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[2,5,4,6,7,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[4,1,6,3,8,5,7,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[6,5,8,4,1,7,3,2]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[8,5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[7,4,3,8,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[3,1,8,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[2,3,8,1,6,7,5,4]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[3,8,2,1,7,5,6,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[4,3,8,7,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[2,3,4,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[5,6,2,8,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[2,1,8,6,5,7,3,4]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,7,3,5,2,1,8,4]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[2,1,5,3,6,8,7,4]=>[1,5,2,3,6,8,4,7]=>[1,8,2,5,3,6,4,7]=>2
[7,3,5,4,6,1,8,2]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[4,5,2,6,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[8,7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[2,1,8,7,4,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[2,1,5,3,8,7,6,4]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[8,4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[4,3,1,8,6,7,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,1,4,8,6,5,7,2]=>[1,4,8,2,3,5,7,6]=>[1,7,2,4,3,8,5,6]=>1
[3,7,5,6,8,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[5,6,2,1,8,7,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,1,2,3,6,8,7,5]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>1
[3,6,8,7,1,5,4,2]=>[1,5,2,3,6,8,4,7]=>[1,8,2,5,3,6,4,7]=>2
[7,1,8,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[2,1,5,8,4,6,3,7]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[4,1,8,3,6,5,2,7]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[2,1,4,8,3,5,7,6]=>[1,4,8,2,3,5,7,6]=>[1,7,2,4,3,8,5,6]=>1
[4,8,2,3,5,1,6,7]=>[1,6,7,2,3,5,4,8]=>[1,5,2,7,3,6,4,8]=>1
[7,5,8,6,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[2,8,5,6,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[7,5,8,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[3,5,6,2,1,8,7,4]=>[1,8,2,3,5,6,4,7]=>[1,6,2,8,3,5,4,7]=>1
[3,5,7,6,1,4,8,2]=>[1,4,8,2,3,5,7,6]=>[1,7,2,4,3,8,5,6]=>1
[6,5,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[5,1,6,7,4,3,8,2]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[5,1,6,8,7,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[4,1,2,3,8,7,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[4,1,2,3,8,6,5,7]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[4,1,2,3,8,6,7,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[4,1,2,3,7,6,5,8]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[4,1,2,3,8,5,7,6]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[7,1,6,8,4,3,5,2]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[5,6,8,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,5,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[4,1,8,3,6,5,7,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[4,1,8,3,6,2,7,5]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[7,8,5,6,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[7,8,4,2,1,5,3,6]=>[1,5,2,3,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>1
[7,8,2,1,6,5,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[7,8,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[7,8,4,1,2,3,6,5]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[7,8,3,6,5,4,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[7,8,2,1,5,3,4,6]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[7,8,1,6,5,4,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,2,1,7,5,4,3,8]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[2,1,8,7,5,4,3,6]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[5,3,6,2,7,4,1,8]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[6,3,1,8,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[6,4,2,1,5,3,8,7]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[6,4,3,7,5,8,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[4,3,8,7,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[2,1,7,5,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,8,1,7,6,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[1,8,5,7,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[5,6,7,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[4,5,6,7,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[4,5,7,6,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[4,7,5,6,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[5,7,6,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[6,3,4,5,8,7,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[6,2,3,5,4,8,1,7]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[6,7,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[5,8,7,6,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[2,1,8,7,6,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,1,7,4,5,6,8,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[4,3,7,5,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[3,7,6,8,5,2,1,4]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[4,1,8,6,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[3,8,7,6,5,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[4,7,1,5,2,3,8,6]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[7,6,4,2,3,8,1,5]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[8,6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[5,7,4,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[5,7,2,6,1,8,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4,8]=>[1,5,2,7,3,6,4,8]=>1
[7,4,1,6,8,2,3,5]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[7,4,1,8,6,2,3,5]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0
[7,5,8,6,4,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[4,8,7,6,1,2,3,5]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[7,5,3,8,2,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[3,8,7,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[7,1,8,4,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[7,5,1,4,8,6,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[6,5,3,1,8,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[7,3,8,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[2,3,4,5,6,7,8,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>0
[3,4,5,6,7,8,9,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[2,3,4,5,6,7,8,9,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[2,3,4,5,6,1,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>0
[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[8,6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[5,6,2,3,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[6,8,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,8,2,7,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[4,1,7,5,8,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[3,6,2,7,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[2,1,8,7,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[7,4,1,3,2,6,8,5]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>1
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>2
[5,4,3,2,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,5,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[6,5,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,5,1,4,8,6,2,3]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[7,4,1,3,2,8,6,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,4,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[6,5,4,7,1,8,2,3]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[7,5,1,6,8,3,4,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[6,5,2,1,8,7,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,8,2,5,3,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[1,8,2,6,3,4,5,7]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[1,7,2,6,3,4,5,8]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[5,6,8,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[5,6,8,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[5,7,8,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[5,7,8,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[5,6,8,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[5,7,8,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[5,7,8,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[6,7,8,1,5,2,3,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[5,7,8,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[5,7,8,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,7,8,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[6,7,8,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[6,7,8,1,5,4,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[6,7,8,1,4,5,2,3]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[6,7,8,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[6,7,8,1,4,3,5,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[5,7,8,2,1,4,6,3]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>1
[5,6,8,3,2,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[5,7,8,3,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>1
[5,7,8,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[4,5,2,3,8,1,7,6]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[5,6,8,3,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[6,7,8,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[6,7,8,1,2,3,5,4]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[7,2,8,4,5,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[6,2,3,8,5,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[3,4,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[6,5,2,7,4,1,8,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,3,1,8,6,4,7,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[6,5,8,4,2,3,7,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[5,2,1,8,7,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,2,4,7,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[1,6,7,2,8,4,3,5]=>1
[5,3,6,4,1,8,7,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[5,7,1,6,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[3,1,4,6,8,5,7,2]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>2
[6,3,4,5,7,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[7,6,3,2,5,4,1,8]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[7,2,1,6,5,4,3,8]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[1,8,5,4,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[6,5,7,4,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,3,7,1,5,4,8,2]=>[1,5,2,3,7,4,8,6]=>[1,8,2,5,3,7,4,6]=>2
[3,2,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[2,3,8,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[1,8,7,4,3,6,5,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[1,8,7,5,6,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,2,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,2,1,7,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[5,3,7,1,6,8,4,2]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[5,4,7,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[4,5,7,6,8,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0
[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,5,4,7,2,1,8,3]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[6,5,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[1,8,3,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[3,7,4,8,2,6,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,8,7,6,3,4,5]=>3
[3,5,4,8,2,1,7,6]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[4,2,1,5,8,3,7,6]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[4,2,1,6,8,7,3,5]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[1,8,6,7,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,8,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[2,5,8,7,6,1,4,3]=>[1,4,2,5,8,3,6,7]=>[1,8,4,2,5,3,6,7]=>2
[2,6,8,7,5,4,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>1
[7,4,6,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[8,3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[8,3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,5,2,1,6,8,4,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[6,8,4,3,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,7,5,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,8,4,1,7,5,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,7,5,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[5,3,2,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[2,3,5,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[7,5,1,6,8,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[8,4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[5,2,3,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,5,2,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[7,6,2,5,8,3,1,4]=>[1,4,2,5,8,3,6,7]=>[1,8,4,2,5,3,6,7]=>2
[8,3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0
[1,5,2,3,7,6,8,4]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[7,5,2,6,8,4,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>1
[8,4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>1
[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[4,1,3,2,7,6,8,5]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[6,8,2,3,5,7,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0
[5,1,2,3,7,6,8,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,8,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>0
[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>0
[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>2
[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0
[2,3,6,7,4,5,8,1]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>1
[7,4,1,2,3,8,5,6]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[2,6,4,8,3,7,5,1]=>[1,2,6,3,7,4,8,5]=>[1,2,8,7,6,3,4,5]=>3
[6,5,2,1,8,3,4,7]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[4,7,1,8,6,5,2,3]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[1,6,8,3,7,4,5,2]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[6,8,2,1,7,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[8,5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[1,8,7,3,5,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[8,7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[1,8,7,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[1,6,8,4,3,7,5,2]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[8,5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[5,8,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[8,5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[1,8,7,4,5,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[8,5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[1,8,7,4,3,5,6,2]=>[1,8,2,3,5,6,4,7]=>[1,6,2,8,3,5,4,7]=>1
[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[8,5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[8,5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,5,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,5,4,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[8,7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[8,7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>1
[2,1,8,7,6,4,3,5]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[2,1,8,7,6,4,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[8,7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,3,4,7,8]=>0
[8,3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[8,7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[8,5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[8,7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[8,7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>1
[2,1,8,7,6,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[7,3,5,1,8,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,5,6,2,1,8,7,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,4,3,1,8,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,4,1,8,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,4,2,1,8,7,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,3,2,1,8,7,6,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,5,7,1,6,8,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[7,4,1,6,8,5,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[5,2,3,1,8,6,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,5,2,1,6,8,7,4]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[6,2,1,4,8,7,3,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[7,1,4,6,8,2,3,5]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>2
[7,4,5,2,3,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,2,6,3,4,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[5,2,7,3,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[6,2,7,3,4,1,8,5]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[2,1,7,4,5,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[3,1,8,6,7,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,1,8,6,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[8,6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[4,1,8,5,7,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[8,5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>0
[4,2,3,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[6,2,3,1,8,5,7,4]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[8,5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[2,1,6,3,8,5,7,4]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[4,1,8,5,6,2,7,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[4,1,7,3,8,5,6,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[7,3,8,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[8,4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[7,8,2,4,5,6,1,3]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[7,8,1,5,4,6,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[7,8,2,1,6,3,4,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[7,8,4,5,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[4,6,2,5,3,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[4,6,7,8,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[2,7,5,6,8,4,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[2,1,6,8,4,5,3,7]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[3,7,6,8,5,4,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[2,6,3,4,5,8,1,7]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[7,2,1,4,8,3,5,6]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[7,1,6,5,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[6,5,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,6,7,4,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[5,7,6,4,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,7,5,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[1,6,5,4,2,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[6,7,5,4,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,2,3,5,4,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[5,8,2,3,7,6,4,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[6,8,2,3,5,4,7,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0
[5,3,4,1,8,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,1,8,6,7,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,8,3,7,1,6,4,2]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[6,8,5,1,2,3,7,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[3,5,6,1,8,4,7,2]=>[1,8,2,3,5,6,4,7]=>[1,6,2,8,3,5,4,7]=>1
[4,5,3,1,6,8,7,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[2,1,7,5,8,6,4,3]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[6,4,1,7,5,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[3,4,7,5,1,8,6,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[2,3,7,1,5,8,6,4]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[4,7,2,3,6,8,1,5]=>[1,5,2,3,6,8,4,7]=>[1,8,2,5,3,6,4,7]=>2
[8,2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4,8]=>[1,5,2,7,3,6,4,8]=>1
[5,7,4,1,6,2,3,8]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[5,1,8,4,2,7,3,6]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[6,8,5,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[4,5,7,8,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[4,8,3,7,5,1,2,6]=>[1,2,6,3,7,4,8,5]=>[1,2,8,7,6,3,4,5]=>3
[4,5,8,7,6,1,2,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[3,5,8,1,7,6,4,2]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[2,3,8,1,7,6,4,5]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[3,4,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,3,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,2,1,8,7,6,5,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,3,8,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[6,8,3,1,7,5,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,8,2,1,7,5,4,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,8,2,3,7,5,4,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[3,1,8,2,7,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[3,1,4,8,7,6,5,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[1,2,6,5,4,8,3,7]=>[1,2,6,3,7,4,8,5]=>[1,2,8,7,6,3,4,5]=>3
[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[6,2,1,8,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,6,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,1,8,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[7,2,1,8,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,8,7,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,1,7,3,6,5,8,2]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[8,1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>1
[6,1,4,5,3,8,7,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>1
[6,1,4,8,3,5,7,2]=>[1,4,8,2,3,5,7,6]=>[1,7,2,4,3,8,5,6]=>1
[7,1,8,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,1,4,5,3,8,6,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>1
[8,1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[6,3,5,7,2,1,4,8]=>[1,4,8,2,3,5,7,6]=>[1,7,2,4,3,8,5,6]=>1
[6,3,5,8,2,1,7,4]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[6,3,5,7,2,1,8,4]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[8,4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[6,4,5,8,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[5,8,7,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0
[6,3,5,8,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[1,8,2,4,3,7,5,6]=>2
[2,3,4,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[8,3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[2,3,8,5,6,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[7,4,5,6,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,3,5,8,2,1,6,4]=>[1,6,2,3,5,8,4,7]=>[1,8,2,6,3,5,4,7]=>2
[7,3,5,6,2,1,4,8]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[8,7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[2,6,4,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[2,7,6,1,8,3,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[6,4,1,8,3,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[2,3,8,6,4,1,7,5]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[2,3,4,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>0
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>0
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>0
[2,1,9,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>0
[8,4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[8,5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,7,6,5,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[1,8,6,5,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,8,5,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,2,1,7,6,4,5,8]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[8,1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[3,2,1,8,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[7,8,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[1,8,7,2,6,5,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[6,5,8,3,2,1,7,4]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[8,5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[8,5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[8,7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,5,6,7,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[4,3,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[5,3,7,2,6,4,8,1]=>[1,2,6,3,7,4,8,5]=>[1,2,8,7,6,3,4,5]=>3
[6,7,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[4,1,8,7,2,3,6,5]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[2,1,8,3,4,7,6,5]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[5,7,2,3,8,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[5,6,2,3,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[5,6,3,2,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,7,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[5,7,3,1,8,2,6,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,7,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[5,7,2,1,8,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[5,7,2,1,8,6,3,4]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[6,7,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,7,8,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[6,3,4,5,8,7,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[5,6,1,4,8,7,3,2]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[3,4,7,1,8,6,5,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[4,3,8,5,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[7,8,3,5,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>1
[5,8,1,4,6,7,2,3]=>[1,4,6,7,2,3,5,8]=>[1,7,2,4,3,6,5,8]=>2
[6,5,8,4,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[3,8,6,7,1,4,5,2]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>1
[6,5,4,3,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[7,5,4,1,8,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[5,7,4,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[3,8,6,1,7,4,5,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[6,7,3,1,8,4,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[8,3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[5,4,2,7,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[2,1,8,7,5,6,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,1,6,8,7,4,2,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[3,8,7,6,4,5,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[1,8,7,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,8,3,6,4,5,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[4,7,1,8,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[7,8,2,6,4,5,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[7,8,1,6,4,5,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,8,1,7,4,5,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>0
[5,8,6,7,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0
[6,8,5,7,1,4,2,3]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0
[5,8,6,7,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[5,8,2,6,1,7,3,4]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[2,7,3,6,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[6,7,4,8,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[6,7,4,5,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[6,8,4,5,3,7,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[6,8,4,5,2,7,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[7,8,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[6,8,4,5,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,7,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>0
[6,7,5,8,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0
[6,8,5,7,2,3,1,4]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0
[6,7,4,8,2,3,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[5,7,3,4,2,6,1,8]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,8,4,7,2,3,1,5]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[7,8,4,6,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[5,8,3,4,2,6,1,7]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[5,6,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0
[8,4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[2,1,6,8,7,4,3,5]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[5,8,7,6,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[5,8,4,2,3,7,6,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[6,8,4,2,7,5,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[2,1,8,6,7,5,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[7,6,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[8,6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0
[7,6,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[2,1,7,6,8,3,5,4]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[6,1,5,4,3,8,7,2]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[6,1,8,3,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[7,1,5,3,4,8,6,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[6,3,2,7,5,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[3,6,1,8,5,2,4,7]=>[1,8,2,4,7,3,6,5]=>[1,6,7,2,8,4,3,5]=>1
[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,3,4,7,8]=>0
[3,8,6,7,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[8,5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,1,2,3,8,5,7,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[3,1,8,6,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>0
[8,7,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>0
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>0
[8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>0
[9,8,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[7,2,3,1,8,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,2,1,8,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[7,8,2,1,4,3,5,6]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[7,6,4,2,3,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,7,2,3,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[7,5,4,2,6,8,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>1
[8,2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[5,2,6,3,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[5,3,6,1,2,8,4,7]=>[1,2,8,3,6,4,7,5]=>[1,2,7,6,8,3,4,5]=>1
[1,7,4,5,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[1,2,3,6,8,5,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>1
[2,1,8,6,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[1,2,3,7,5,8,6,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,1,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[5,7,8,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[8,6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[7,6,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[6,7,8,3,2,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[5,7,8,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[5,7,8,3,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>1
[7,6,3,8,2,1,4,5]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>1
[8,6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>1
[4,6,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[8,4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,4,3,2,1,7,5,8]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[6,4,3,2,1,8,5,7]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[7,4,3,2,1,8,5,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,4,3,2,1,8,6,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,4,3,2,1,8,7,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,6,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[8,5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[7,5,4,2,8,6,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[6,5,4,2,8,7,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[8,5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>1
[8,5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,5,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[7,4,3,2,1,6,8,5]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[8,4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[6,8,3,7,5,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[4,5,2,3,7,1,6,8]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[4,3,8,5,2,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[4,7,3,5,2,1,6,8]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[4,6,2,1,7,3,5,8]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[7,2,1,5,3,6,8,4]=>[1,5,2,3,6,8,4,7]=>[1,8,2,5,3,6,4,7]=>2
[6,4,5,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[2,3,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[3,4,5,1,8,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[1,8,4,5,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[3,4,5,8,2,1,7,6]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[1,8,5,6,7,3,4,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,5,8,6,7,3,1,4]=>[1,4,2,5,8,3,6,7]=>[1,8,4,2,5,3,6,7]=>2
[4,5,6,7,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,4,6,1,8,7,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[2,3,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,5,8,6,7,1,4,3]=>[1,4,2,5,8,3,6,7]=>[1,8,4,2,5,3,6,7]=>2
[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[4,5,6,7,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[4,5,6,7,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,8,5,6,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[1,8,5,6,7,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,2,5,1,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[5,7,6,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[5,8,6,1,7,3,4,2]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[3,2,5,1,8,7,4,6]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[3,8,6,5,1,7,4,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[6,5,1,7,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[8,4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[8,4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[7,4,2,3,8,5,1,6]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[8,5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[7,5,1,6,4,2,3,8]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[4,2,6,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[3,2,5,1,8,6,7,4]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[7,8,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[3,8,5,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[8,7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[3,2,5,1,8,7,6,4]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[6,5,7,3,1,8,4,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,4,3,8,5,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[5,8,4,3,6,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[2,1,7,5,3,8,6,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[6,3,2,1,4,7,5,8]=>[1,4,7,2,3,5,8,6]=>[1,8,2,4,3,7,5,6]=>2
[3,5,2,1,7,4,6,8]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[5,8,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[3,5,8,2,1,7,4,6]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[3,2,1,4,7,5,8,6]=>[1,4,7,2,3,5,8,6]=>[1,8,2,4,3,7,5,6]=>2
[1,9,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>0
[8,7,6,4,5,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>0
[1,9,8,7,5,6,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>0
[1,10,9,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[10,9,8,7,6,5,4,3,2,1,11]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>0
[9,8,7,5,6,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[1,10,9,8,6,7,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>0
[6,2,3,1,5,4,8,7]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[8,4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,2,5,3,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[6,4,5,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[8,4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[8,6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[8,6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[8,3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[8,3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[8,3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[8,1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[8,1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[2,1,8,4,7,5,6,3]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[8,1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[8,2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[4,2,3,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[4,1,3,2,8,6,7,5]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[8,6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[2,1,8,6,7,3,5,4]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[8,1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[8,1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[8,4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,3,4,7,8]=>0
[2,1,8,5,7,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[8,5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[8,4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>1
[2,6,1,8,4,5,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,3,1,8,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[3,1,6,8,4,5,7,2]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[2,3,6,8,4,5,7,1]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>1
[7,6,1,8,4,2,5,3]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[3,4,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,5,8,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[5,6,8,4,1,3,2,7]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[5,7,8,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[6,5,8,4,2,3,1,7]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[4,1,3,2,8,5,6,7]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[4,2,3,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,2,1,4,8,5,6,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[1,2,8,4,7,5,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,7,6,8,3,4,5]=>1
[6,7,3,4,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[5,7,3,4,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[5,8,3,4,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[5,6,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[4,5,1,8,3,6,2,7]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[6,5,3,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[4,6,3,5,2,1,8,7]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[8,3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[6,3,8,4,5,7,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[2,1,6,8,5,7,4,3]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[6,8,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[5,1,8,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[8,1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[8,6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[8,7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>1
[5,8,3,6,2,1,7,4]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[2,6,8,4,5,7,1,3]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>1
[6,1,8,4,5,7,2,3]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[5,8,1,4,7,6,2,3]=>[1,4,7,2,3,5,8,6]=>[1,8,2,4,3,7,5,6]=>2
[4,5,3,8,6,1,7,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[3,4,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,5,7,6,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[8,4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[6,7,2,3,5,4,8,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[8,3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[3,1,4,7,6,8,5,2]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[4,8,3,7,6,1,5,2]=>[1,5,2,3,7,4,8,6]=>[1,8,2,5,3,7,4,6]=>2
[3,8,4,7,6,1,5,2]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[8,1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0
[3,8,2,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[8,2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[3,4,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[8,5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[6,7,4,5,8,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0
[8,4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[3,4,8,7,6,1,5,2]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[4,3,8,7,6,1,5,2]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[4,1,8,7,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,7,1,8,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[8,1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[6,7,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,6,5,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[5,6,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,4,5,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,5,6,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,3,6,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[4,2,5,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[8,1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4,8]=>[1,5,2,7,3,6,4,8]=>1
[8,1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0
[7,4,1,2,3,8,6,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,4,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,3,2,1,4,8,7,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[6,2,3,1,4,8,7,5]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[4,2,6,5,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,2,6,5,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,2,6,5,8,1,7,3]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[4,2,6,5,8,3,1,7]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[2,1,4,6,8,5,7,3]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>2
[2,6,4,1,8,7,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,4,2,8,7,5,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[2,1,7,4,5,8,3,6]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[4,3,1,7,5,8,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[6,4,2,1,5,8,3,7]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[2,5,3,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[4,3,5,2,1,8,6,7]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[3,7,2,1,5,4,8,6]=>[1,5,2,3,7,4,8,6]=>[1,8,2,5,3,7,4,6]=>2
[3,8,2,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[8,3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>1
[3,7,2,1,5,8,4,6]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[3,2,1,7,5,8,6,4]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[3,2,1,8,7,5,6,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[3,8,2,1,7,4,5,6]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[3,2,7,1,8,6,4,5]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[3,2,1,6,8,5,7,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[3,2,6,1,8,7,4,5]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[4,5,6,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,8,3,5,4,7,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0
[7,6,3,5,4,8,1,2]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[6,2,1,5,4,8,7,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[4,3,6,1,8,2,7,5]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[2,3,8,5,4,1,6,7]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,3,6,4,5]=>3
[4,8,1,5,2,3,7,6]=>[1,5,2,3,7,4,8,6]=>[1,8,2,5,3,7,4,6]=>2
[7,1,8,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[1,8,7,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[2,1,7,5,6,3,8,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[4,1,7,5,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[7,2,3,5,4,1,8,6]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[7,8,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[1,8,5,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[5,1,8,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,5,1,8,4,3,2,7]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[7,8,4,6,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[7,8,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,10,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,10,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[8,9,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,10,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[9,10,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[6,2,1,5,8,3,7,4]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[1,6,7,4,8,3,5,2]=>[1,6,7,2,3,5,4,8]=>[1,5,2,7,3,6,4,8]=>1
[1,7,5,4,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[5,6,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,6,3,2,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[8,6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,6,4,3,2,1,8,5]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,8,4,3,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[5,4,7,2,1,8,6,3]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[5,7,3,2,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>1
[6,7,8,3,5,2,1,4]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0
[3,2,6,1,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[3,5,2,1,4,7,6,8]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[7,3,5,2,1,8,4,6]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[8,3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[3,5,2,1,4,6,8,7]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>2
[7,8,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>0
[8,9,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[7,8,3,5,4,6,1,2]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0
[5,4,1,6,2,3,8,7]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[2,7,6,5,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[2,7,6,5,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[7,3,5,1,8,6,4,2]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[2,7,6,4,1,8,5,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[2,1,7,6,3,8,5,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[2,1,7,6,3,8,4,5]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[2,3,4,8,7,6,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[6,4,1,5,8,3,7,2]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[5,7,3,6,1,8,4,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[7,3,5,4,8,6,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0
[7,4,3,5,8,2,1,6]=>[1,6,2,3,5,8,4,7]=>[1,8,2,6,3,5,4,7]=>2
[6,3,5,4,8,2,1,7]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[1,8,6,7,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[1,8,5,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[5,8,1,7,2,6,3,4]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[1,8,2,7,5,6,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[1,8,4,7,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[7,5,2,8,6,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[7,5,1,8,6,2,3,4]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,4,8,6,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[7,1,8,4,5,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,2,3,8,5,7,4,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[3,6,2,7,5,1,8,4]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[5,7,1,8,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[8,5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[6,7,8,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0
[5,7,6,8,2,3,4,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[5,7,6,8,4,1,2,3]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>0
[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>0
[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>0
[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>0
[10,1,2,3,4,5,6,7,8,9,11]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>0
[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>0
[5,6,4,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[7,3,8,4,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[1,8,5,2,7,3,6,4]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[4,2,7,5,1,8,6,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[1,6,8,7,4,2,3,5]=>[1,6,8,2,3,5,4,7]=>[1,5,2,8,3,6,4,7]=>1
[7,1,8,6,3,4,2,5]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[2,6,4,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[7,6,5,8,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[5,8,6,7,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[6,5,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[3,6,5,8,4,2,1,7]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[5,6,8,4,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,7,5,8,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[1,7,5,8,2,6,4,3]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[6,8,5,2,1,4,7,3]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[5,1,8,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[5,1,7,6,8,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,2,6,5,4,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[7,8,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[7,5,6,4,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[7,4,6,2,5,1,8,3]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[7,2,6,4,5,1,8,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[6,8,3,4,5,7,1,2]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[4,3,6,7,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>1
[6,3,7,5,8,4,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[7,3,8,6,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,1,8,7,2,3,6,4]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[2,4,7,5,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[1,6,7,2,8,4,3,5]=>1
[2,4,7,3,6,1,8,5]=>[1,8,2,4,7,3,6,5]=>[1,6,7,2,8,4,3,5]=>1
[7,2,1,5,4,6,3,8]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[7,8,2,1,4,5,3,6]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[7,8,4,1,5,3,6,2]=>[1,5,2,3,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>1
[7,5,1,6,4,3,8,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[6,5,1,8,2,7,4,3]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[6,8,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,1,8,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[2,1,7,5,6,8,3,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[5,4,1,7,6,8,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[2,7,1,8,4,5,3,6]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[8,4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[7,4,2,1,8,5,3,6]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[3,7,6,8,4,5,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[1,7,6,8,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,4,8,6,7,5,2,3]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[5,4,3,8,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[2,1,8,7,4,6,3,5]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[5,4,1,8,7,6,2,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[5,8,6,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[4,2,1,6,3,5,8,7]=>[1,6,2,3,5,8,4,7]=>[1,8,2,6,3,5,4,7]=>2
[6,2,1,4,3,5,8,7]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[2,1,6,4,3,5,8,7]=>[1,6,2,3,5,8,4,7]=>[1,8,2,6,3,5,4,7]=>2
[6,4,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[4,6,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[2,1,6,4,3,8,5,7]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[2,1,8,4,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[6,8,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0
[8,6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0
[2,1,8,4,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[8,2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>1
[6,2,1,4,8,3,5,7]=>[1,4,8,2,3,5,7,6]=>[1,7,2,4,3,8,5,6]=>1
[4,2,1,6,3,8,5,7]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[4,2,1,8,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[4,2,1,8,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[6,2,1,8,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[2,1,4,8,6,3,5,7]=>[1,4,8,2,3,5,7,6]=>[1,7,2,4,3,8,5,6]=>1
[2,1,8,6,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[1,7,2,8,3,5,4,6]=>1
[5,1,8,3,4,2,7,6]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[2,1,5,4,8,3,7,6]=>[1,5,2,3,7,4,8,6]=>[1,8,2,5,3,7,4,6]=>2
[5,1,7,6,8,3,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[4,3,7,6,8,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[4,3,6,5,8,1,7,2]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[6,3,5,4,8,1,7,2]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[7,1,6,3,8,4,5,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[3,2,7,1,8,5,6,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[3,2,6,5,8,1,7,4]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[2,1,7,3,8,5,6,4]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[7,1,3,2,8,5,6,4]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[7,1,8,2,6,4,5,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[2,1,6,5,8,3,7,4]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[6,5,7,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,1,7,4,8,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[4,2,5,3,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[8,1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[1,6,8,5,3,7,4,2]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[6,8,1,7,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[6,4,8,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[6,4,8,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[7,2,6,3,4,1,8,5]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[2,1,7,3,5,8,4,6]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[8,7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,3,4,7,8]=>0
[5,2,1,8,6,7,4,3]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,8,6,7,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[6,3,5,2,1,4,8,7]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>1
[8,3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[2,1,8,5,7,4,3,6]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[4,8,3,7,1,2,6,5]=>[1,2,6,3,7,4,8,5]=>[1,2,8,7,6,3,4,5]=>3
[3,8,6,7,4,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[5,7,6,8,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0
[6,1,7,4,5,8,2,3]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[2,1,6,7,5,8,3,4]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>1
[3,5,6,4,7,1,8,2]=>[1,8,2,3,5,6,4,7]=>[1,6,2,8,3,5,4,7]=>1
[5,8,7,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[5,8,7,6,3,1,4,2]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[5,8,7,6,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0
[5,8,7,6,4,2,3,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[5,8,7,6,4,2,1,3]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0
[5,8,7,6,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0
[5,8,7,6,4,3,1,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[7,4,5,6,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[6,4,5,7,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,3,5,1,7,4,8,2]=>[1,7,2,3,5,4,8,6]=>[1,5,2,8,3,7,4,6]=>1
[6,4,5,7,2,1,8,3]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[3,4,5,7,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>0
[6,8,2,4,5,7,1,3]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0
[7,8,1,4,5,3,6,2]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
[3,8,7,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[5,8,1,4,7,6,3,2]=>[1,4,7,2,3,5,8,6]=>[1,8,2,4,3,7,5,6]=>2
[7,3,1,8,4,2,6,5]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[7,1,8,2,3,6,5,4]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[1,5,2,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[4,8,2,3,7,6,1,5]=>[1,5,2,3,7,4,8,6]=>[1,8,2,5,3,7,4,6]=>2
[1,4,2,5,8,7,6,3]=>[1,4,2,5,8,3,6,7]=>[1,8,4,2,5,3,6,7]=>2
[3,1,4,2,5,8,7,6]=>[1,4,2,5,8,3,6,7]=>[1,8,4,2,5,3,6,7]=>2
[2,3,5,1,8,7,6,4]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[7,8,2,1,5,3,6,4]=>[1,5,2,3,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>1
[7,8,2,5,4,6,1,3]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0
[6,2,1,5,4,7,3,8]=>[1,5,2,3,8,4,7,6]=>[1,7,2,5,3,8,4,6]=>1
[5,3,6,2,4,7,1,8]=>[1,8,2,4,7,3,6,5]=>[1,6,7,2,8,4,3,5]=>1
[6,4,2,1,7,3,8,5]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[4,3,7,5,8,6,1,2]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[4,2,7,1,8,3,6,5]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>0
[1,7,6,5,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[5,7,6,3,8,4,1,2]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>0
[4,7,6,5,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[4,7,6,5,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[4,7,2,1,5,3,6,8]=>[1,5,2,3,6,8,4,7]=>[1,8,2,5,3,6,4,7]=>2
[4,7,6,8,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0
[4,2,1,7,3,5,8,6]=>[1,7,2,3,5,8,4,6]=>[1,8,2,7,3,5,4,6]=>2
[4,3,7,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>[1,7,2,8,5,3,4,6]=>2
[7,5,4,3,2,1,8,6]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[8,5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[7,1,8,5,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[1,8,6,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[8,7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[1,8,5,7,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[8,4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>1
[5,4,1,6,8,2,3,7]=>[1,6,8,2,3,7,4,5]=>[1,7,2,8,3,6,4,5]=>2
[6,3,1,8,4,7,5,2]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>0
[6,5,3,8,7,4,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[8,5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[5,7,3,8,1,6,4,2]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[5,3,8,7,2,1,6,4]=>[1,6,2,3,8,4,5,7]=>[1,8,2,6,3,4,5,7]=>1
[8,3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[4,3,8,7,6,2,1,5]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[7,5,8,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0
[2,8,7,6,5,4,1,3]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0
[4,1,8,7,5,2,3,6]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>0
[6,1,2,3,7,5,8,4]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,4,7,5,6]=>1
[7,1,2,3,8,6,5,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>1
[7,1,2,3,6,8,5,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>1
[7,1,2,3,8,5,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[8,1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0
[8,1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0
[7,1,8,5,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[8,1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[6,1,2,3,8,7,4,5]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,1,2,3,8,7,6,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,1,2,3,8,6,7,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[5,1,2,3,6,8,7,4]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>1
[7,8,1,2,6,3,5,4]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,3,4,7,8]=>0
[1,2,8,5,4,7,3,6]=>[1,2,8,3,6,4,7,5]=>[1,2,7,6,8,3,4,5]=>1
[2,3,6,8,4,7,1,5]=>[1,5,2,3,6,8,4,7]=>[1,8,2,5,3,6,4,7]=>2
[7,4,6,1,5,2,3,8]=>[1,5,2,3,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>1
[6,8,1,4,7,2,3,5]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>1
[6,8,1,7,3,5,4,2]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[5,1,8,2,7,6,3,4]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>0
[6,8,2,1,7,4,3,5]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>0
[2,5,1,8,7,6,3,4]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[5,3,8,4,1,7,6,2]=>[1,7,2,3,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>1
[4,1,8,7,6,5,3,2]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0
[4,3,8,7,6,5,1,2]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0
[6,3,1,8,7,2,5,4]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>0
[4,5,8,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>0
[4,5,8,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[3,5,1,8,7,4,6,2]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>0
[4,5,8,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>0
[3,4,8,7,6,2,1,5]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0
[4,5,8,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[1,8,2,3,4,7,5,6]=>1
[6,8,3,4,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[6,8,3,7,4,1,5,2]=>[1,5,2,3,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>1
[8,4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>1
[8,5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[8,7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>1
[8,5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0
[1,8,4,5,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>0
[8,6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0
[8,4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0
[8,7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0
[8,7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0
[8,7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>1
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Description
The number of nestings in the permutation.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
- $des$ is the number of descents, St000021The number of descents of a permutation.,
- $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
- $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
- $Ebot$ is the sum of the excedance bottoms,
- $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
- $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
- $Res$ is the sum of the (right) embracing numbers,
- $Ine$ is the sum of the side numbers.
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