Identifier
-
Mp00159:
Permutations
—Demazure product with inverse⟶
Permutations
Mp00159: Permutations —Demazure product with inverse⟶ Permutations
Mp00159: Permutations —Demazure product with inverse⟶ Permutations
St000035: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>[1]=>[1]=>0
[1,2]=>[1,2]=>[1,2]=>[1,2]=>0
[2,1]=>[2,1]=>[2,1]=>[2,1]=>1
[1,2,3]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>0
[1,3,2]=>[1,3,2]=>[1,3,2]=>[1,3,2]=>1
[2,1,3]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>1
[2,3,1]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>1
[3,1,2]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>1
[3,2,1]=>[3,2,1]=>[3,2,1]=>[3,2,1]=>1
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>0
[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>1
[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>1
[1,3,4,2]=>[1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>1
[1,4,2,3]=>[1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>1
[1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>1
[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>1
[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>2
[2,3,1,4]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>1
[2,3,4,1]=>[4,2,3,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[2,4,1,3]=>[3,4,1,2]=>[4,3,2,1]=>[4,3,2,1]=>1
[2,4,3,1]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[3,1,2,4]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>1
[3,1,4,2]=>[4,2,3,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>1
[3,2,4,1]=>[4,2,3,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[3,4,1,2]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[3,4,2,1]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[4,1,2,3]=>[4,2,3,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[4,1,3,2]=>[4,2,3,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[4,2,1,3]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[4,2,3,1]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[4,3,1,2]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>1
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1
[1,2,4,5,3]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,5,4,3]=>1
[1,2,5,3,4]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,5,4,3]=>1
[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,5,4,3]=>1
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>2
[1,3,4,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>1
[1,3,4,5,2]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,3,5,2,4]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,3,5,4,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,4,2,3,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>1
[1,4,2,5,3]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>1
[1,4,3,5,2]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,4,5,2,3]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,4,5,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,5,2,3,4]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,5,2,4,3]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,5,3,2,4]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,5,3,4,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,5,4,2,3]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1
[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1
[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>2
[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>2
[2,1,4,5,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>2
[2,1,5,3,4]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>2
[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>2
[2,3,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1
[2,3,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>2
[2,3,4,1,5]=>[4,2,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[2,3,4,5,1]=>[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,3,5,1,4]=>[4,2,5,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,3,5,4,1]=>[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,4,1,3,5]=>[3,4,1,2,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[2,4,1,5,3]=>[3,5,1,4,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,4,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[2,4,3,5,1]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,4,5,1,3]=>[4,5,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,4,5,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,5,1,3,4]=>[3,5,1,4,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,5,1,4,3]=>[3,5,1,4,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,5,3,1,4]=>[4,5,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,5,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,5,4,1,3]=>[4,5,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[2,5,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,1,2,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1
[3,1,2,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>2
[3,1,4,2,5]=>[4,2,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[3,1,4,5,2]=>[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,1,5,2,4]=>[4,2,5,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,1,5,4,2]=>[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>2
[3,2,4,1,5]=>[4,2,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[3,2,4,5,1]=>[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,2,5,1,4]=>[4,2,5,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,2,5,4,1]=>[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,4,1,2,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[3,4,1,5,2]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,4,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[3,4,2,5,1]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,4,5,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,4,5,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,5,1,2,4]=>[4,5,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,5,1,4,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,5,2,1,4]=>[4,5,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,5,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,5,4,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[3,5,4,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,1,2,3,5]=>[4,2,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[4,1,2,5,3]=>[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,1,3,2,5]=>[4,2,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[4,1,3,5,2]=>[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,1,5,2,3]=>[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,1,5,3,2]=>[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,2,1,3,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[4,2,1,5,3]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,2,3,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[4,2,3,5,1]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,2,5,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,2,5,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,3,1,2,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[4,3,1,5,2]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1
[4,3,2,5,1]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,3,5,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,3,5,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,5,1,2,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,5,1,3,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,5,2,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,5,2,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,5,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[4,5,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,1,2,3,4]=>[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,1,2,4,3]=>[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,1,3,2,4]=>[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,1,3,4,2]=>[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,1,4,2,3]=>[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,1,4,3,2]=>[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,2,1,3,4]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,2,1,4,3]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,2,3,1,4]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,2,3,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,2,4,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,2,4,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,3,1,2,4]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,3,1,4,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,3,2,1,4]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,3,2,4,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,3,4,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,3,4,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,4,1,2,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,4,1,3,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,4,2,1,3]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,4,2,3,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,4,3,1,2]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>1
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>1
[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>1
[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>1
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>1
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>1
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>2
[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>1
[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,4,6,3,5]=>[1,2,5,6,3,4]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,4,6,5,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>1
[1,2,5,3,6,4]=>[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>1
[1,2,5,4,6,3]=>[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,5,6,3,4]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,5,6,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,6,3,4,5]=>[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,6,3,5,4]=>[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,6,4,3,5]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,6,5,3,4]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>1
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>1
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>2
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>2
[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>2
[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>2
[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>2
[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>1
[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>2
[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,4,6,2,5]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,4,6,5,2]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,5,2,4,6]=>[1,4,5,2,3,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,3,5,2,6,4]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,5,4,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,3,5,4,6,2]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,5,6,2,4]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,6,2,4,5]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,6,2,5,4]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,6,4,2,5]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,6,5,2,4]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>1
[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>2
[1,4,2,5,3,6]=>[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,4,2,5,6,3]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,2,6,3,5]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,2,6,5,3]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>1
[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>2
[1,4,3,5,2,6]=>[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,4,3,5,6,2]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,3,6,2,5]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,3,6,5,2]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,5,2,3,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,4,5,2,6,3]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,5,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,4,5,3,6,2]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,6,2,3,5]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,6,3,2,5]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,2,3,4,6]=>[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,5,2,3,6,4]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,2,4,3,6]=>[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,5,2,4,6,3]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,2,6,3,4]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,2,6,4,3]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,3,2,4,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,5,3,2,6,4]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,5,3,4,6,2]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,4,2,3,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,5,4,2,6,3]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>1
[1,5,4,3,6,2]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,2,3,4,5]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,2,3,5,4]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,2,4,3,5]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,2,4,5,3]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,2,5,3,4]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,2,5,4,3]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,3,2,4,5]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,3,2,5,4]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>1
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>1
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>2
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>2
[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>2
[2,1,3,6,4,5]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>2
[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>2
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>2
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>3
[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>2
[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,4,6,3,5]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,5,3,4,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>2
[2,1,5,3,6,4]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>2
[2,1,5,4,6,3]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,6,3,4,5]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,6,3,5,4]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>2
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>1
[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>2
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>2
[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[2,3,1,6,4,5]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[2,3,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,3,4,6,1,5]=>[5,2,3,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,3,4,6,5,1]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,3,5,1,4,6]=>[4,2,5,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,3,5,1,6,4]=>[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>1
[2,3,5,4,1,6]=>[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,3,5,4,6,1]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,3,5,6,1,4]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,3,5,6,4,1]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,3,6,1,4,5]=>[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>1
[2,3,6,1,5,4]=>[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>1
[2,3,6,4,1,5]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,3,6,4,5,1]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,3,6,5,1,4]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,3,6,5,4,1]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,1,3,5,6]=>[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[2,4,1,3,6,5]=>[3,4,1,2,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[2,4,1,5,3,6]=>[3,5,1,4,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,4,1,5,6,3]=>[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,4,1,6,3,5]=>[3,5,1,6,2,4]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>1
[2,4,1,6,5,3]=>[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,4,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[2,4,3,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[2,4,3,5,1,6]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,4,3,5,6,1]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,4,3,6,1,5]=>[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,4,3,6,5,1]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,4,5,1,3,6]=>[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,4,5,1,6,3]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,5,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,4,5,3,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,5,6,1,3]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,5,6,3,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,6,1,3,5]=>[4,5,6,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,6,1,5,3]=>[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,6,3,1,5]=>[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,6,3,5,1]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,6,5,1,3]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,4,6,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,1,3,4,6]=>[3,5,1,4,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,5,1,3,6,4]=>[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,5,1,4,3,6]=>[3,5,1,4,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,5,1,4,6,3]=>[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,5,1,6,3,4]=>[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,5,1,6,4,3]=>[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,5,3,1,4,6]=>[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,5,3,1,6,4]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,5,3,4,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,3,6,1,4]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,3,6,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,4,1,3,6]=>[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,5,4,1,6,3]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[2,5,4,3,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,4,6,1,3]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,4,6,3,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,6,1,3,4]=>[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,6,1,4,3]=>[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,6,3,1,4]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,6,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,6,4,1,3]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,5,6,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,1,3,4,5]=>[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,6,1,3,5,4]=>[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,6,1,4,3,5]=>[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,6,1,4,5,3]=>[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,6,1,5,3,4]=>[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,6,1,5,4,3]=>[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[2,6,3,1,4,5]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,3,1,5,4]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,3,4,1,5]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,3,5,1,4]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,4,1,3,5]=>[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,4,1,5,3]=>[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,4,3,1,5]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,4,5,1,3]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,4,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,5,1,3,4]=>[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,5,1,4,3]=>[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,5,3,1,4]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,5,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,5,4,1,3]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[2,6,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>1
[3,1,2,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>2
[3,1,2,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>2
[3,1,2,5,6,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[3,1,2,6,4,5]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[3,1,2,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[3,1,4,2,5,6]=>[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[3,1,4,2,6,5]=>[4,2,3,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[3,1,4,5,2,6]=>[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,1,4,5,6,2]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,1,4,6,2,5]=>[5,2,3,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,1,4,6,5,2]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,1,5,2,4,6]=>[4,2,5,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,1,5,2,6,4]=>[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>1
[3,1,5,4,2,6]=>[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,1,5,4,6,2]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,1,5,6,2,4]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,1,5,6,4,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,1,6,2,4,5]=>[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>1
[3,1,6,2,5,4]=>[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>1
[3,1,6,4,2,5]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,1,6,4,5,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,1,6,5,2,4]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,1,6,5,4,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>1
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>2
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>2
[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[3,2,1,6,4,5]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>2
[3,2,4,1,5,6]=>[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[3,2,4,1,6,5]=>[4,2,3,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,2,4,5,6,1]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,2,4,6,1,5]=>[5,2,3,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,2,4,6,5,1]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,2,5,1,4,6]=>[4,2,5,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,2,5,1,6,4]=>[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>1
[3,2,5,4,1,6]=>[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,2,5,4,6,1]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,2,5,6,1,4]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,2,5,6,4,1]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,2,6,1,4,5]=>[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>1
[3,2,6,1,5,4]=>[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>1
[3,2,6,4,1,5]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,2,6,4,5,1]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,2,6,5,1,4]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,2,6,5,4,1]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[3,4,1,2,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[3,4,1,5,2,6]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,4,1,5,6,2]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,4,1,6,2,5]=>[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,4,1,6,5,2]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,4,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[3,4,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,4,2,5,6,1]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,4,2,6,1,5]=>[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,4,2,6,5,1]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[3,4,5,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,4,5,1,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,5,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,4,5,2,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,5,6,1,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,5,6,2,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,6,1,2,5]=>[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,6,1,5,2]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,6,2,1,5]=>[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,6,2,5,1]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,6,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,4,6,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,1,2,4,6]=>[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,5,1,2,6,4]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,1,4,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,5,1,4,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,1,6,2,4]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,1,6,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,2,1,4,6]=>[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,5,2,1,6,4]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,5,2,4,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,2,6,1,4]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,2,6,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,4,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,5,4,1,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,4,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[3,5,4,2,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,4,6,1,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,4,6,2,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,6,1,2,4]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,6,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,6,2,1,4]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,6,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,6,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,5,6,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,1,2,4,5]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,1,2,5,4]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,1,4,2,5]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,1,5,2,4]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,2,1,4,5]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,2,1,5,4]=>[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,2,4,1,5]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,2,5,1,4]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,4,1,2,5]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,4,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,4,2,1,5]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,4,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,4,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,4,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,5,1,2,4]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,5,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,5,2,1,4]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,5,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,5,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[3,6,5,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,2,3,5,6]=>[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[4,1,2,3,6,5]=>[4,2,3,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[4,1,2,5,3,6]=>[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,1,2,5,6,3]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,1,2,6,3,5]=>[5,2,3,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,1,2,6,5,3]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,1,3,2,5,6]=>[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[4,1,3,2,6,5]=>[4,2,3,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[4,1,3,5,2,6]=>[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,1,3,5,6,2]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,1,3,6,2,5]=>[5,2,3,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,1,3,6,5,2]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,1,5,2,3,6]=>[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,1,5,2,6,3]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,5,3,2,6]=>[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,1,5,3,6,2]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,5,6,2,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,5,6,3,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,6,2,3,5]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,6,2,5,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,6,3,2,5]=>[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,6,3,5,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,6,5,2,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,1,6,5,3,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,1,3,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[4,2,1,3,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[4,2,1,5,3,6]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,2,1,5,6,3]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,2,1,6,3,5]=>[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,2,1,6,5,3]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[4,2,3,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[4,2,3,5,1,6]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,2,3,5,6,1]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,2,3,6,1,5]=>[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,2,3,6,5,1]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,2,5,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,2,5,1,6,3]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,5,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,2,5,3,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,5,6,1,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,5,6,3,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,6,1,3,5]=>[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,6,3,1,5]=>[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,6,3,5,1]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,6,5,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,2,6,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,1,2,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[4,3,1,2,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[4,3,1,5,2,6]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,3,1,5,6,2]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,3,1,6,2,5]=>[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,3,1,6,5,2]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>1
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>2
[4,3,2,5,1,6]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,3,2,5,6,1]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,3,2,6,1,5]=>[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,3,2,6,5,1]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[4,3,5,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,3,5,1,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,5,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,3,5,2,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,5,6,1,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,5,6,2,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,6,1,2,5]=>[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,6,1,5,2]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,6,2,1,5]=>[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,6,2,5,1]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,6,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,3,6,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,1,2,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,5,1,2,6,3]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,1,3,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,5,1,3,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,1,6,2,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,1,6,3,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,2,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,5,2,1,6,3]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,2,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,5,2,3,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,2,6,1,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,2,6,3,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,5,3,1,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[4,5,3,2,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,3,6,1,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,3,6,2,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,6,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,6,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,6,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,6,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,5,6,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,1,2,3,5]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,1,2,5,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,1,3,2,5]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,1,3,5,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,1,5,2,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,1,5,3,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,2,1,3,5]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,2,1,5,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,2,3,1,5]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,2,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,2,5,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,2,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,3,1,2,5]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,3,2,1,5]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,3,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,3,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,5,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,5,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,5,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[4,6,5,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,2,3,4,6]=>[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,1,2,3,6,4]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[5,1,2,4,3,6]=>[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,1,2,4,6,3]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[5,1,2,6,3,4]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[5,1,2,6,4,3]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[5,1,3,2,4,6]=>[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,1,3,2,6,4]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,3,4,2,6]=>[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,1,3,4,6,2]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,3,6,2,4]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,3,6,4,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,4,2,3,6]=>[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,1,4,2,6,3]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,4,3,2,6]=>[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,1,4,3,6,2]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,4,6,2,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,4,6,3,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,6,2,3,4]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,6,2,4,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,6,3,2,4]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,6,3,4,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,6,4,2,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,1,6,4,3,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,1,3,4,6]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,2,1,3,6,4]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[5,2,1,4,3,6]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,2,1,4,6,3]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[5,2,1,6,3,4]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[5,2,1,6,4,3]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[5,2,3,1,4,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,2,3,1,6,4]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,2,3,4,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,3,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,3,6,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,4,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,2,4,1,6,3]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,4,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,2,4,3,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,4,6,1,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,4,6,3,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,6,1,3,4]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,6,1,4,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,6,3,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,6,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,6,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,2,6,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,1,2,4,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,3,1,2,6,4]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,1,4,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,3,1,4,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,1,6,2,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,1,6,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,2,1,4,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,3,2,1,6,4]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,3,2,4,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,2,6,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,2,6,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,4,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,3,4,1,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,4,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,3,4,2,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,4,6,1,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,4,6,2,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,6,1,2,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,6,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,6,2,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,6,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,6,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,3,6,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,1,2,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,4,1,2,6,3]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,1,3,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,4,1,3,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,1,6,2,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,1,6,3,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,2,1,3,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,4,2,1,6,3]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,2,3,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,4,2,3,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,2,6,1,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,2,6,3,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,3,1,2,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,4,3,1,6,2]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>1
[5,4,3,2,6,1]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,3,6,1,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,3,6,2,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,6,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,6,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,6,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,6,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,4,6,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,1,2,3,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,1,2,4,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,1,3,2,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,1,3,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,1,4,2,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,1,4,3,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,2,1,3,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,2,1,4,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,2,3,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,2,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,2,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,2,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,3,1,2,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,3,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,3,2,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,3,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,4,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,4,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,4,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,4,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[5,6,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,2,3,4,5]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,1,2,3,5,4]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,1,2,4,3,5]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,1,2,4,5,3]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,1,2,5,3,4]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,1,2,5,4,3]=>[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,1,3,2,4,5]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,3,2,5,4]=>[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,3,4,2,5]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,3,4,5,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,3,5,2,4]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,3,5,4,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,4,2,3,5]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,4,2,5,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,4,3,2,5]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,4,3,5,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,4,5,2,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,4,5,3,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,5,2,3,4]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,5,2,4,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,5,3,2,4]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,5,3,4,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,5,4,2,3]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,1,5,4,3,2]=>[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,1,3,4,5]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,2,1,3,5,4]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,2,1,4,3,5]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,2,1,4,5,3]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,2,1,5,3,4]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,2,1,5,4,3]=>[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>1
[6,2,3,1,4,5]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,3,1,5,4]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,3,4,1,5]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,3,5,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,3,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,4,1,3,5]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,4,1,5,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,4,3,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,4,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,4,5,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,4,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,5,1,3,4]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,5,1,4,3]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,5,3,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,5,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,5,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,2,5,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,1,2,4,5]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,1,2,5,4]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,1,4,2,5]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,1,4,5,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,1,5,2,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,1,5,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,2,1,4,5]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,2,1,5,4]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,2,4,1,5]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,2,5,1,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,2,5,4,1]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,4,1,2,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,4,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,4,2,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,4,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,4,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,4,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,5,1,2,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,5,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,5,2,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,5,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,5,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,3,5,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,1,2,3,5]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,1,2,5,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,1,3,2,5]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,1,3,5,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,1,5,2,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,1,5,3,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,2,1,3,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,2,1,5,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,2,3,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,2,3,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,2,5,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,2,5,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,3,1,2,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,3,1,5,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,3,2,1,5]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,3,5,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,3,5,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,5,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,5,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,5,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,5,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,4,5,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,1,2,3,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,1,2,4,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,1,3,2,4]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,1,3,4,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,1,4,2,3]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,1,4,3,2]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,2,1,3,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,2,1,4,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,2,3,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,2,3,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,2,4,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,2,4,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,3,1,2,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,3,1,4,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,3,2,1,4]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,3,2,4,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,3,4,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,4,1,2,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,4,1,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,4,2,1,3]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,4,2,3,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,4,3,1,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>1
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>1
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>1
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>1
[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,5,7,2,6]=>[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,5,7,6,2]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,6,2,7,5]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,6,5,7,2]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,6,7,2,5]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,6,7,5,2]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,7,2,5,6]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,7,2,6,5]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,7,5,2,6]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,7,5,6,2]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,7,6,2,5]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,4,7,6,5,2]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,2,6,7,4]=>[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,2,7,4,6]=>[1,4,6,2,7,3,5]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>1
[1,3,5,2,7,6,4]=>[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,4,6,7,2]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,4,7,2,6]=>[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,4,7,6,2]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,6,2,7,4]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,6,4,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,6,7,2,4]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,6,7,4,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,7,2,4,6]=>[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,7,2,6,4]=>[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,7,4,2,6]=>[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,7,4,6,2]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,7,6,2,4]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,2,4,7,5]=>[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,2,5,7,4]=>[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,2,7,4,5]=>[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,2,7,5,4]=>[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,4,2,7,5]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,4,5,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,4,7,2,5]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,4,7,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,5,2,7,4]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,5,4,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,5,7,2,4]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,5,7,4,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,7,2,4,5]=>[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,7,2,5,4]=>[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,7,4,2,5]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,7,4,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,7,5,2,4]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,2,4,5,6]=>[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,2,4,6,5]=>[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,2,5,4,6]=>[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,2,5,6,4]=>[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,2,6,4,5]=>[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,2,6,5,4]=>[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,4,2,5,6]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,4,2,6,5]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,4,5,2,6]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,4,6,2,5]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,5,2,4,6]=>[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,5,2,6,4]=>[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,5,4,2,6]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,5,6,2,4]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,5,6,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,6,2,4,5]=>[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,6,2,5,4]=>[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,6,4,2,5]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,6,4,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,6,5,2,4]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,5,6,7,3]=>[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,5,7,3,6]=>[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,5,7,6,3]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,6,3,7,5]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,6,5,7,3]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,6,7,3,5]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,6,7,5,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,7,3,5,6]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,7,3,6,5]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,7,5,3,6]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,7,5,6,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,7,6,3,5]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,2,7,6,5,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,5,6,7,2]=>[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,5,7,2,6]=>[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,5,7,6,2]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,6,2,7,5]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,6,5,7,2]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,6,7,2,5]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,6,7,5,2]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,7,2,5,6]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,7,2,6,5]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,7,5,2,6]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,7,5,6,2]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,7,6,2,5]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,3,7,6,5,2]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,2,6,7,3]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,2,7,3,6]=>[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,2,7,6,3]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,3,6,7,2]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,3,7,2,6]=>[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,3,7,6,2]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,6,2,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,6,3,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,6,7,2,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,6,7,3,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,7,2,3,6]=>[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,7,2,6,3]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,7,3,2,6]=>[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,7,3,6,2]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,7,6,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,2,3,7,5]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,2,5,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,2,7,3,5]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,2,7,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,3,2,7,5]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,3,5,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,3,7,2,5]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,3,7,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,5,2,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,5,3,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,5,7,2,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,5,7,3,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,7,2,3,5]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,7,2,5,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,7,3,2,5]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,7,3,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,7,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,2,3,5,6]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,2,3,6,5]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,2,5,3,6]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,2,6,3,5]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,3,2,5,6]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,3,2,6,5]=>[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,3,5,2,6]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,3,6,2,5]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,5,2,3,6]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,5,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,5,3,2,6]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,5,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,5,6,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,6,2,3,5]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,6,2,5,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,6,3,2,5]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,6,3,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,6,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,3,6,7,4]=>[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,3,7,4,6]=>[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,3,7,6,4]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,4,6,7,3]=>[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,4,7,3,6]=>[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,4,7,6,3]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,6,3,7,4]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,6,4,7,3]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,6,7,3,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,6,7,4,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,7,3,4,6]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,7,3,6,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,7,4,3,6]=>[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,7,4,6,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,7,6,3,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,2,7,6,4,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,2,6,7,4]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,2,7,4,6]=>[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,2,7,6,4]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,4,6,7,2]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,4,7,2,6]=>[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,4,7,6,2]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,6,2,7,4]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,6,4,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,6,7,2,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,6,7,4,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,7,2,4,6]=>[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,7,4,2,6]=>[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,7,4,6,2]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,3,7,6,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,2,6,7,3]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,2,7,3,6]=>[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,2,7,6,3]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,3,6,7,2]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,3,7,2,6]=>[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,3,7,6,2]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,6,2,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,6,3,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,6,7,2,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,6,7,3,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,7,2,3,6]=>[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,7,2,6,3]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,7,3,2,6]=>[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,7,3,6,2]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,7,6,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,2,3,7,4]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,2,4,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,2,7,3,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,2,7,4,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,3,2,7,4]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,3,4,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,3,7,2,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,3,7,4,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,4,2,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,4,3,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,4,7,2,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,4,7,3,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,7,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,7,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,2,3,4,6]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,2,3,6,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,2,4,3,6]=>[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,2,4,6,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,2,6,3,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,2,6,4,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,3,2,4,6]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,3,2,6,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,3,4,2,6]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,3,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,3,6,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,3,6,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,4,2,3,6]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,4,3,2,6]=>[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,4,6,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,6,2,3,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,6,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,3,4,7,5]=>[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,3,5,7,4]=>[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,3,7,4,5]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,3,7,5,4]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,4,3,7,5]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,4,5,7,3]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,4,7,3,5]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,4,7,5,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,5,3,7,4]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,5,4,7,3]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,5,7,3,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,5,7,4,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,7,3,4,5]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,7,3,5,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,7,4,3,5]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,7,4,5,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,7,5,3,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,2,7,5,4,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,2,4,7,5]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,2,5,7,4]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,2,7,4,5]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,2,7,5,4]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,4,2,7,5]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,4,5,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,4,7,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,5,2,7,4]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,5,4,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,5,7,2,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,5,7,4,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,7,2,4,5]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,7,2,5,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,7,4,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,7,4,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,3,7,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,2,3,7,5]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,2,5,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,2,7,3,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,2,7,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,3,2,7,5]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,3,5,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,3,7,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,5,2,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,5,3,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,5,7,2,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,5,7,3,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,7,2,3,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,7,2,5,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,7,3,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,7,3,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,7,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,2,3,7,4]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,2,4,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,2,7,3,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,2,7,4,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,3,2,7,4]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,3,4,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,3,7,2,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,3,7,4,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,4,2,7,3]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,4,3,7,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,4,7,2,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,4,7,3,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,7,2,3,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,7,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,2,3,4,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,2,3,5,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,2,4,3,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,2,4,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,2,5,3,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,2,5,4,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,3,2,4,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,3,2,5,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,3,4,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,3,4,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,3,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,3,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,4,2,3,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,4,2,5,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,4,3,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,5,2,3,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,5,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,5,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,3,4,5,6]=>[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,3,4,6,5]=>[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,3,5,4,6]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,3,5,6,4]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,3,6,4,5]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,3,6,5,4]=>[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,4,3,5,6]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,4,3,6,5]=>[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,4,5,3,6]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,4,5,6,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,4,6,3,5]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,4,6,5,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,5,3,4,6]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,5,3,6,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,5,4,3,6]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,5,4,6,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,5,6,3,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,5,6,4,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,6,3,4,5]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,6,3,5,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,6,4,3,5]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,6,4,5,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,6,5,3,4]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,2,6,5,4,3]=>[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,2,4,5,6]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,2,4,6,5]=>[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,2,5,4,6]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,2,5,6,4]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,2,6,4,5]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,2,6,5,4]=>[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,4,2,5,6]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,4,2,6,5]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,4,5,2,6]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,4,6,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,5,2,4,6]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,5,2,6,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,5,4,2,6]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,5,6,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,5,6,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,6,2,4,5]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,6,2,5,4]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,6,4,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,6,4,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,6,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,2,3,5,6]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,2,3,6,5]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,2,5,3,6]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,2,5,6,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,2,6,3,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,2,6,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,3,2,5,6]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,3,2,6,5]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,3,5,2,6]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,3,6,2,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,5,2,3,6]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,5,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,5,3,2,6]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,5,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,5,6,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,6,2,3,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,6,2,5,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,6,3,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,6,3,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,6,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,2,3,4,6]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,2,3,6,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,2,4,3,6]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,2,4,6,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,2,6,3,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,2,6,4,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,3,2,4,6]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,3,2,6,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,3,4,2,6]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,3,4,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,3,6,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,3,6,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,4,2,3,6]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,2,3,4,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,2,3,5,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,2,4,3,5]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,2,4,5,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,2,5,3,4]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,2,5,4,3]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,5,4,2,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>1
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>1
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,5,7,3,6]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,5,7,6,3]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,6,3,7,5]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,6,5,7,3]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,6,7,3,5]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,7,3,5,6]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,7,3,6,5]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,7,5,3,6]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,7,6,3,5]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,3,6,7,4]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,3,7,4,6]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,3,7,6,4]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,4,6,7,3]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,4,7,3,6]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,4,7,6,3]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,6,3,7,4]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,6,4,7,3]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,7,3,4,6]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,7,4,3,6]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,3,4,7,5]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,3,5,7,4]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,3,7,4,5]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,3,7,5,4]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,4,3,7,5]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,4,5,7,3]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,5,3,7,4]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,5,4,7,3]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,3,4,5,6]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,3,4,6,5]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,3,5,4,6]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,3,5,6,4]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,3,6,4,5]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,3,6,5,4]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,4,3,5,6]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,4,3,6,5]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>2
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>1
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,3,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,3,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>1
[2,3,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,3,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,3,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,3,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,3,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,1,3,5,6,7]=>[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[2,4,1,5,3,6,7]=>[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,4,1,5,3,7,6]=>[3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,4,1,5,6,3,7]=>[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,1,5,6,7,3]=>[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,1,5,7,3,6]=>[3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>1
[2,4,1,5,7,6,3]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,1,6,3,5,7]=>[3,5,1,6,2,4,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>1
[2,4,1,6,3,7,5]=>[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>1
[2,4,1,6,5,3,7]=>[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,1,6,5,7,3]=>[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,1,6,7,3,5]=>[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>1
[2,4,1,6,7,5,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,1,7,3,5,6]=>[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>1
[2,4,1,7,3,6,5]=>[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>1
[2,4,1,7,5,3,6]=>[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>1
[2,4,1,7,5,6,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,1,7,6,3,5]=>[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>1
[2,4,1,7,6,5,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[2,4,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,4,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,4,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,1,3,6,7]=>[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,4,5,1,3,7,6]=>[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,4,5,1,6,3,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,5,1,6,7,3]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,1,7,3,6]=>[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>1
[2,4,5,1,7,6,3]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,4,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,4,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,6,1,3,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,5,6,1,7,3]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,6,7,1,3]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,7,1,3,6]=>[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,7,1,6,3]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,7,6,1,3]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,1,3,5,7]=>[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,6,1,3,7,5]=>[4,5,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,1,5,3,7]=>[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,6,1,5,7,3]=>[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,1,7,3,5]=>[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,1,7,5,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,5,1,3,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,6,5,1,7,3]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,4,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,5,7,1,3]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,7,1,3,5]=>[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,7,1,5,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,7,5,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,1,3,5,6]=>[4,5,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,1,3,6,5]=>[4,5,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,1,5,3,6]=>[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,1,5,6,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,1,6,3,5]=>[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,1,6,5,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,5,1,3,6]=>[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,5,1,6,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,5,6,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,6,1,3,5]=>[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,6,1,5,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,6,5,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,4,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,3,4,6,7]=>[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,5,1,3,4,7,6]=>[3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,5,1,3,6,4,7]=>[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,1,3,6,7,4]=>[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,3,7,4,6]=>[3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>1
[2,5,1,3,7,6,4]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,4,3,6,7]=>[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,5,1,4,3,7,6]=>[3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,5,1,4,6,3,7]=>[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,1,4,6,7,3]=>[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,4,7,3,6]=>[3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>1
[2,5,1,4,7,6,3]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,6,3,4,7]=>[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,1,6,3,7,4]=>[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,6,4,3,7]=>[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,1,6,4,7,3]=>[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,6,7,3,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,6,7,4,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,7,3,4,6]=>[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>1
[2,5,1,7,3,6,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,7,4,3,6]=>[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>1
[2,5,1,7,4,6,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,7,6,3,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,1,7,6,4,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,1,4,6,7]=>[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,5,3,1,4,7,6]=>[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,5,3,1,6,4,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,3,1,6,7,4]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,1,7,4,6]=>[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>1
[2,5,3,1,7,6,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,5,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,5,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,6,1,4,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,3,6,1,7,4]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,6,7,1,4]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,7,1,4,6]=>[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,7,1,6,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,7,6,1,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,1,3,6,7]=>[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,5,4,1,3,7,6]=>[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,5,4,1,6,3,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,4,1,6,7,3]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,1,7,3,6]=>[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>1
[2,5,4,1,7,6,3]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[2,5,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[2,5,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,6,1,3,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,4,6,1,7,3]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,6,7,1,3]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,7,1,3,6]=>[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,7,1,6,3]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,7,6,1,3]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,1,3,4,7]=>[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,6,1,3,7,4]=>[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,1,4,3,7]=>[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,6,1,4,7,3]=>[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,1,7,3,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,1,7,4,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,3,1,4,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,6,3,1,7,4]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,3,7,1,4]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,4,1,3,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,6,4,1,7,3]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,5,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,4,7,1,3]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,7,1,3,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,7,1,4,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,7,3,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,7,4,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,1,3,4,6]=>[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,1,3,6,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,1,4,3,6]=>[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,1,4,6,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,1,6,3,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,1,6,4,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,3,1,4,6]=>[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,3,1,6,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,3,6,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,4,1,3,6]=>[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,4,1,6,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,4,6,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,6,1,3,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,6,1,4,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,6,3,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,6,4,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,5,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,3,4,5,7]=>[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,1,3,4,7,5]=>[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,3,5,4,7]=>[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,1,3,5,7,4]=>[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,3,7,4,5]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,3,7,5,4]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,4,3,5,7]=>[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,1,4,3,7,5]=>[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,4,5,3,7]=>[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,1,4,5,7,3]=>[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,4,7,3,5]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,4,7,5,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,5,3,4,7]=>[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,1,5,3,7,4]=>[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,5,4,3,7]=>[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,1,5,4,7,3]=>[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,5,7,3,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,5,7,4,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,7,3,4,5]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,7,3,5,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,7,4,3,5]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,7,4,5,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,7,5,3,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,1,7,5,4,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,1,4,5,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,3,1,4,7,5]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,1,5,4,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,3,1,5,7,4]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,1,7,4,5]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,1,7,5,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,4,1,5,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,3,4,1,7,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,4,7,1,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,5,1,4,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,3,5,1,7,4]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,5,7,1,4]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,7,1,4,5]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,7,1,5,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,7,4,1,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,7,5,1,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,1,3,5,7]=>[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,4,1,3,7,5]=>[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,1,5,3,7]=>[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,4,1,5,7,3]=>[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,1,7,3,5]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,1,7,5,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,3,1,5,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,4,3,1,7,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,3,7,1,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,5,1,3,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,4,5,1,7,3]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,5,7,1,3]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,7,1,3,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,7,1,5,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,7,3,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,7,5,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,1,3,4,7]=>[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,5,1,3,7,4]=>[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,1,4,3,7]=>[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,5,1,4,7,3]=>[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,1,7,3,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,1,7,4,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,3,1,4,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,5,3,1,7,4]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,3,7,1,4]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,4,1,3,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,5,4,1,7,3]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[2,6,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,4,7,1,3]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,7,1,3,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,7,1,4,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,7,3,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,7,4,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,1,3,4,5]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,1,3,5,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,1,4,3,5]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,1,4,5,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,1,5,3,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,1,5,4,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,3,1,4,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,3,1,5,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,3,4,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,3,5,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,4,1,3,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,4,1,5,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,4,3,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,4,5,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,5,1,3,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,5,1,4,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,5,3,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,5,4,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,6,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,3,4,5,6]=>[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,3,4,6,5]=>[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,3,5,4,6]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,3,5,6,4]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,3,6,4,5]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,3,6,5,4]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,4,3,5,6]=>[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,4,3,6,5]=>[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,4,5,3,6]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,4,5,6,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,4,6,3,5]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,4,6,5,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,5,3,4,6]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,5,3,6,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,5,4,3,6]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,5,4,6,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,5,6,3,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,5,6,4,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,6,3,4,5]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,6,3,5,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,6,4,3,5]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,6,4,5,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,6,5,3,4]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,1,6,5,4,3]=>[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,1,4,5,6]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,1,4,6,5]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,1,5,4,6]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,1,5,6,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,1,6,4,5]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,1,6,5,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,4,1,5,6]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,4,1,6,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,4,5,1,6]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,4,6,1,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,5,1,4,6]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,5,1,6,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,5,4,1,6]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,5,6,1,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,6,1,4,5]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,6,1,5,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,6,4,1,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,6,5,1,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,1,3,5,6]=>[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,1,3,6,5]=>[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,1,5,3,6]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,1,5,6,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,1,6,3,5]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,1,6,5,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,3,1,5,6]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,3,1,6,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,3,5,1,6]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,3,6,1,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,5,1,3,6]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,5,1,6,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,5,3,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,5,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,5,6,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,6,1,3,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,6,1,5,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,6,3,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,6,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,6,5,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,4,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,1,3,4,6]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,1,3,6,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,1,4,3,6]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,1,4,6,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,1,6,3,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,1,6,4,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,3,1,4,6]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,3,1,6,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,3,4,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,3,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,3,6,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,4,1,3,6]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,4,1,6,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,4,3,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,4,6,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,6,1,3,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,6,1,4,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,6,3,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,6,4,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,1,3,4,5]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,1,3,5,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,1,4,3,5]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,1,4,5,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,1,5,3,4]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,1,5,4,3]=>[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,3,1,4,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,3,1,5,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,3,4,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,3,5,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,4,1,3,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,4,1,5,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,4,3,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,4,5,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,5,1,3,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,5,1,4,3]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,5,3,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,5,4,1,3]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[2,7,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>1
[3,1,4,2,5,6,7]=>[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[3,1,4,5,2,6,7]=>[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,1,4,5,2,7,6]=>[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,1,4,5,6,2,7]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,5,7,2,6]=>[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,6,2,5,7]=>[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,4,6,2,7,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,6,5,2,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,6,7,2,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,6,7,5,2]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,7,2,5,6]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,7,2,6,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,7,5,2,6]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,7,5,6,2]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,7,6,2,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,2,4,6,7]=>[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,1,5,2,4,7,6]=>[4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,1,5,2,6,4,7]=>[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,5,2,6,7,4]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,2,7,4,6]=>[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>1
[3,1,5,2,7,6,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,4,2,6,7]=>[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,1,5,4,2,7,6]=>[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,1,5,4,6,2,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,4,7,2,6]=>[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,6,2,4,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,5,6,2,7,4]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,6,4,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,5,6,4,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,6,7,2,4]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,6,7,4,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,7,2,4,6]=>[5,2,6,7,1,3,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,7,2,6,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,7,4,2,6]=>[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,7,4,6,2]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,7,6,2,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,5,7,6,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,2,4,5,7]=>[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,6,2,4,7,5]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,2,5,4,7]=>[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,6,2,5,7,4]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,2,7,4,5]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,2,7,5,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,4,2,5,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,6,4,2,7,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,4,5,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,6,4,5,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,4,7,2,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,4,7,5,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,5,2,4,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,6,5,2,7,4]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,5,4,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,1,6,5,4,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,5,7,2,4]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,5,7,4,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,7,2,4,5]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,7,2,5,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,7,4,2,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,7,4,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,7,5,2,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,6,7,5,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,2,4,5,6]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,2,4,6,5]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,2,5,4,6]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,2,5,6,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,2,6,4,5]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,2,6,5,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,4,2,5,6]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,4,2,6,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,4,5,2,6]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,4,5,6,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,4,6,2,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,4,6,5,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,5,2,4,6]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,5,2,6,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,5,4,2,6]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,5,4,6,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,5,6,2,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,5,6,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,6,2,4,5]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,6,2,5,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,6,4,2,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,6,4,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,6,5,2,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,1,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>1
[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,2,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,2,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,2,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>1
[3,2,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,2,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,2,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,2,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,2,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[3,4,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,4,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,4,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,4,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,4,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,4,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,4,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,4,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,4,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,2,4,6,7]=>[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,5,1,2,4,7,6]=>[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,5,1,2,6,4,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,1,2,6,7,4]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,2,7,4,6]=>[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>1
[3,5,1,2,7,6,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,5,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,6,2,4,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,1,6,2,7,4]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,6,7,2,4]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,7,2,4,6]=>[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,7,6,2,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,1,4,6,7]=>[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,5,2,1,4,7,6]=>[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,5,2,1,6,4,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,2,1,6,7,4]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,1,7,4,6]=>[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>1
[3,5,2,1,7,6,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,5,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,5,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,6,1,4,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,2,6,1,7,4]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,6,7,1,4]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,7,1,4,6]=>[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,7,1,6,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,7,6,1,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,5,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,5,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[3,5,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[3,5,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,1,2,4,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,6,1,2,7,4]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,1,7,2,4]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,2,1,4,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,6,2,1,7,4]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,2,7,1,4]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,5,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,7,1,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,7,2,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,1,2,4,6]=>[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,1,2,6,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,1,6,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,2,1,4,6]=>[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,2,1,6,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,2,6,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,6,1,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,6,2,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,5,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,2,4,5,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,1,2,4,7,5]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,2,5,4,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,1,2,5,7,4]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,2,7,4,5]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,2,7,5,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,4,2,5,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,1,4,2,7,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,5,2,4,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,1,5,2,7,4]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,5,7,2,4]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,7,2,4,5]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,7,2,5,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,7,4,2,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,1,4,5,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,2,1,4,7,5]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,1,5,4,7]=>[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,2,1,5,7,4]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,1,7,4,5]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,1,7,5,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,4,1,5,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,2,4,1,7,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,4,7,1,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,5,1,4,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,2,5,1,7,4]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,5,7,1,4]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,7,1,4,5]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,7,1,5,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,7,4,1,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,7,5,1,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,1,2,5,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,4,1,2,7,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,1,7,2,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,2,1,5,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,4,2,1,7,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,2,7,1,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,7,1,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,7,2,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,1,2,4,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,5,1,2,7,4]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,1,7,2,4]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,2,1,4,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,5,2,1,7,4]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,2,7,1,4]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[3,6,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,7,1,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,7,2,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,1,2,4,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,1,2,5,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,1,4,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,1,5,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,2,1,4,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,2,1,5,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,2,4,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,2,5,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,4,1,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,4,2,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,5,1,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,5,2,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,6,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,2,4,5,6]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,2,4,6,5]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,2,5,4,6]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,2,5,6,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,2,6,4,5]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,2,6,5,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,4,2,5,6]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,4,2,6,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,4,5,2,6]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,4,6,2,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,5,2,4,6]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,5,2,6,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,5,4,2,6]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,5,6,2,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,6,2,4,5]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,6,2,5,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,6,4,2,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,6,5,2,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,1,4,5,6]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,1,4,6,5]=>[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,1,5,4,6]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,1,5,6,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,1,6,4,5]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,1,6,5,4]=>[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,4,1,5,6]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,4,1,6,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,4,5,1,6]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,4,6,1,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,5,1,4,6]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,5,1,6,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,5,4,1,6]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,5,6,1,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,6,1,4,5]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,6,1,5,4]=>[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,6,4,1,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,6,5,1,4]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,1,2,5,6]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,1,2,6,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,1,5,2,6]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,1,6,2,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,2,1,5,6]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,2,1,6,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,2,5,1,6]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,2,6,1,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,5,1,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,5,2,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,6,1,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,6,2,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,1,2,4,6]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,1,2,6,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,1,4,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,1,6,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,2,1,4,6]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,2,1,6,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,2,4,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,2,6,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,4,1,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,4,2,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,6,1,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,6,2,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,1,2,4,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,1,2,5,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,1,4,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,1,5,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,2,1,4,5]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,2,1,5,4]=>[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,2,4,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,2,5,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,4,1,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,4,2,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,5,1,2,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,5,2,1,4]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[3,7,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,3,5,6,7]=>[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[4,1,2,5,3,6,7]=>[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,1,2,5,3,7,6]=>[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,1,2,5,6,3,7]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,2,5,6,7,3]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,5,7,3,6]=>[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,5,7,6,3]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,6,3,5,7]=>[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,2,6,3,7,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,6,5,3,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,2,6,5,7,3]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,6,7,3,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,6,7,5,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,7,3,5,6]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,7,3,6,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,7,5,3,6]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,7,5,6,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,7,6,3,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,2,7,6,5,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[4,1,3,5,2,6,7]=>[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,1,3,5,2,7,6]=>[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,1,3,5,6,2,7]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,3,5,6,7,2]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,5,7,2,6]=>[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,5,7,6,2]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,6,2,5,7]=>[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,3,6,2,7,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,6,5,2,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,3,6,5,7,2]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,6,7,2,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,6,7,5,2]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,7,2,5,6]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,7,2,6,5]=>[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,7,5,2,6]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,7,5,6,2]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,7,6,2,5]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,3,7,6,5,2]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,2,3,6,7]=>[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,1,5,2,3,7,6]=>[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,1,5,2,6,3,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,5,2,6,7,3]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,2,7,3,6]=>[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,2,7,6,3]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,3,2,6,7]=>[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,1,5,3,2,7,6]=>[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,1,5,3,6,2,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,5,3,6,7,2]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,3,7,2,6]=>[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,3,7,6,2]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,6,2,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,5,6,2,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,6,3,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,5,6,3,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,6,7,2,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,6,7,3,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,7,2,3,6]=>[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,7,2,6,3]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,7,3,2,6]=>[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,7,3,6,2]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,7,6,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,5,7,6,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,2,3,5,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,6,2,3,7,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,2,5,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,6,2,5,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,2,7,3,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,2,7,5,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,3,2,5,7]=>[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,6,3,2,7,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,3,5,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,6,3,5,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,3,7,2,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,3,7,5,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,5,2,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,6,5,2,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,5,3,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,1,6,5,3,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,5,7,2,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,5,7,3,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,7,2,3,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,7,2,5,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,7,3,2,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,7,3,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,7,5,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,6,7,5,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,2,3,5,6]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,2,3,6,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,2,5,3,6]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,2,5,6,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,2,6,3,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,2,6,5,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,3,2,5,6]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,3,2,6,5]=>[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,3,5,2,6]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,3,5,6,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,3,6,2,5]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,3,6,5,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,5,2,3,6]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,5,2,6,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,5,3,2,6]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,5,3,6,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,5,6,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,5,6,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,6,2,3,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,6,2,5,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,6,3,2,5]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,6,3,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,6,5,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,1,7,6,5,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[4,2,1,5,3,6,7]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,2,1,5,3,7,6]=>[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,2,1,5,6,3,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,1,5,6,7,3]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,5,7,3,6]=>[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,5,7,6,3]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,6,3,5,7]=>[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,1,6,3,7,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,6,5,3,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,1,6,5,7,3]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,6,7,3,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,6,7,5,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,7,3,5,6]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,7,3,6,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,7,5,3,6]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,7,5,6,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,7,6,3,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,1,7,6,5,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,2,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,2,5,1,6,3,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,5,1,6,7,3]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,1,7,3,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,1,7,6,3]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,2,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,2,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,6,1,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,5,6,1,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,6,7,1,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,7,1,3,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,7,1,6,3]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,7,6,1,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,1,3,5,7]=>[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,6,1,3,7,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,6,1,5,7,3]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,1,7,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,5,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,6,5,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,2,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,5,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,7,1,3,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,7,1,5,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,7,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,1,3,5,6]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,1,3,6,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,1,5,3,6]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,1,6,3,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,5,1,3,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,5,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,5,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,6,1,3,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,6,1,5,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,6,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,2,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[4,3,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,3,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,3,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>1
[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,3,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,3,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,3,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,3,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,3,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,3,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,5,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,5,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,5,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,5,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,5,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,5,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,5,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,5,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[4,5,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,5,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,5,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,2,3,5,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,1,2,3,7,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,2,7,3,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,3,2,5,7]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,1,3,2,7,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,3,7,2,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,7,2,3,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,7,3,2,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,1,3,5,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,2,1,3,7,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,1,7,3,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,3,1,5,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,2,3,1,7,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,3,7,1,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,7,1,3,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,7,3,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,1,2,5,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,3,1,2,7,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,2,1,5,7]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,3,2,1,7,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,2,7,1,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,7,1,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,7,2,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[4,6,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,1,2,3,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,1,3,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,2,1,3,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,2,3,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,3,1,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,3,2,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,6,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,2,3,5,6]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,2,3,6,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,2,5,3,6]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,2,5,6,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,2,6,3,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,2,6,5,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,3,2,5,6]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,3,2,6,5]=>[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,3,5,2,6]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,3,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,3,6,2,5]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,3,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,5,2,3,6]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,5,3,2,6]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,6,2,3,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,6,3,2,5]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,1,3,5,6]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,1,3,6,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,1,5,3,6]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,1,6,3,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,3,1,5,6]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,3,1,6,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,3,5,1,6]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,3,6,1,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,5,1,3,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,5,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,5,3,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,5,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,5,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,6,1,3,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,6,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,6,3,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,6,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,6,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,2,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,1,2,5,6]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,1,2,6,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,1,5,2,6]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,1,6,2,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,2,1,5,6]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,2,1,6,5]=>[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,2,5,1,6]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,2,6,1,5]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,5,1,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,5,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,5,2,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,6,1,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,6,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,6,2,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,6,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,3,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,1,2,3,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,1,2,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,1,3,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,2,1,3,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,2,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,2,3,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,3,1,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,3,2,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,1,2,3,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,1,3,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,2,1,3,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,2,3,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,3,1,2,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,3,2,1,5]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[4,7,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,3,4,6,7]=>[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,1,2,3,4,7,6]=>[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,1,2,3,6,4,7]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,2,3,6,7,4]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,3,7,4,6]=>[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,3,7,6,4]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,1,2,4,3,7,6]=>[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,1,2,4,6,3,7]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,2,4,6,7,3]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,4,7,3,6]=>[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,4,7,6,3]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,6,3,4,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,2,6,3,7,4]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,6,4,3,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,2,6,4,7,3]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,6,7,3,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,6,7,4,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,7,3,4,6]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,7,3,6,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,7,4,3,6]=>[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,7,4,6,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,7,6,3,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,2,7,6,4,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,2,4,6,7]=>[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,1,3,2,4,7,6]=>[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,1,3,2,6,4,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,3,2,6,7,4]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,2,7,4,6]=>[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,2,7,6,4]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,4,2,6,7]=>[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,1,3,4,2,7,6]=>[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,1,3,4,6,2,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,3,4,6,7,2]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,4,7,2,6]=>[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,4,7,6,2]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,6,2,4,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,3,6,2,7,4]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,6,4,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,3,6,4,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,6,7,2,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,6,7,4,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,7,2,4,6]=>[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,7,2,6,4]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,7,4,2,6]=>[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,7,4,6,2]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,7,6,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,3,7,6,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,2,3,6,7]=>[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,1,4,2,3,7,6]=>[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,1,4,2,6,3,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,4,2,6,7,3]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,2,7,3,6]=>[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,2,7,6,3]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,3,2,6,7]=>[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,1,4,3,2,7,6]=>[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,1,4,3,6,2,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,4,3,6,7,2]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,3,7,2,6]=>[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,3,7,6,2]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,6,2,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,4,6,2,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,6,3,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,4,6,3,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,6,7,2,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,6,7,3,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,7,2,3,6]=>[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,7,2,6,3]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,7,3,2,6]=>[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,7,3,6,2]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,7,6,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,4,7,6,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,2,3,4,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,6,2,3,7,4]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,2,4,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,6,2,4,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,2,7,3,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,2,7,4,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,3,2,4,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,6,3,2,7,4]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,3,4,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,6,3,4,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,3,7,2,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,3,7,4,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,4,2,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,6,4,2,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,4,3,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,1,6,4,3,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,4,7,2,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,4,7,3,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,7,2,3,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,7,2,4,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,7,3,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,7,3,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,7,4,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,6,7,4,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,2,3,4,6]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,2,3,6,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,2,4,3,6]=>[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,2,4,6,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,2,6,3,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,2,6,4,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,3,2,4,6]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,3,2,6,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,3,4,2,6]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,3,4,6,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,3,6,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,3,6,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,4,2,3,6]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,4,2,6,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,4,3,2,6]=>[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,4,3,6,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,4,6,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,4,6,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,6,2,3,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,6,2,4,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,6,3,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,6,3,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,6,4,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,1,7,6,4,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,2,1,3,4,7,6]=>[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,2,1,3,6,4,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,1,3,6,7,4]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,3,7,4,6]=>[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,3,7,6,4]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,4,3,6,7]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,2,1,4,3,7,6]=>[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,2,1,4,6,3,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,1,4,6,7,3]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,4,7,3,6]=>[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,4,7,6,3]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,6,3,4,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,1,6,3,7,4]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,6,4,3,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,1,6,4,7,3]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,6,7,3,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,6,7,4,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,7,3,4,6]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,7,3,6,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,7,4,3,6]=>[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,7,4,6,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,7,6,3,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,1,7,6,4,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,2,3,1,4,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,2,3,1,6,4,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,3,1,6,7,4]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,1,7,4,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,1,7,6,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,3,6,1,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,6,7,1,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,7,1,4,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,7,6,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,2,4,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,2,4,1,6,3,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,4,1,6,7,3]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,1,7,3,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,1,7,6,3]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,2,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,6,1,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,4,6,1,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,6,7,1,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,7,1,3,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,7,1,6,3]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,7,6,1,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,1,3,4,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,6,1,3,7,4]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,1,4,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,6,1,4,7,3]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,1,7,3,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,1,7,4,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,6,3,1,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,3,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,6,4,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,2,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,4,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,7,1,3,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,7,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,7,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,1,3,4,6]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,1,3,6,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,1,4,3,6]=>[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,1,4,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,1,6,3,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,1,6,4,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,3,1,4,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,3,1,6,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,3,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,4,1,3,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,4,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,6,1,3,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,6,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,6,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,2,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,2,4,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,3,1,2,4,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,3,1,2,6,4,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,1,2,6,7,4]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,2,7,4,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,2,7,6,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,3,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,3,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,6,2,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,1,6,2,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,6,7,2,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,7,2,4,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,7,2,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,7,6,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,3,2,1,4,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,3,2,1,6,4,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,2,1,6,7,4]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,1,7,4,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,1,7,6,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,2,6,1,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,6,7,1,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,7,1,4,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,7,6,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,3,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,3,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,3,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,6,1,2,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,1,7,2,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,6,2,1,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,2,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,3,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,1,2,4,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,1,2,6,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,1,6,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,2,1,4,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,2,1,6,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,2,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,6,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,6,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,3,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,4,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,4,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,4,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,4,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,4,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,4,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,4,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,4,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,4,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>1
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>2
[5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,4,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,4,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[5,6,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,6,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,2,3,4,6]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,2,3,6,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,2,4,3,6]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,2,4,6,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,2,6,3,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,2,6,4,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,3,2,4,6]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,3,4,2,6]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,4,2,3,6]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,4,3,2,6]=>[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,1,3,4,6]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,1,4,3,6]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,3,1,4,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,3,1,6,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,3,4,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,3,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,4,1,3,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,4,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,4,3,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,4,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,6,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,6,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,6,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,6,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,2,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,1,2,4,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,1,2,6,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,1,4,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,1,4,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,1,6,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,2,1,4,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,2,1,6,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,2,4,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,2,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,4,1,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,4,2,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,6,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,6,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,3,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,1,2,3,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,1,2,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,1,3,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,2,1,3,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,2,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,2,3,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,3,2,1,6]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[5,7,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,3,4,5,7]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,2,3,4,7,5]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,3,5,4,7]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,2,3,5,7,4]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,3,7,4,5]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,3,7,5,4]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,4,3,5,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,2,4,3,7,5]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,4,5,3,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,2,4,5,7,3]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,4,7,3,5]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,4,7,5,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,5,3,4,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,2,5,3,7,4]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,5,4,3,7]=>[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,2,5,4,7,3]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,5,7,3,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,5,7,4,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,7,3,4,5]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,7,3,5,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,7,4,3,5]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,7,4,5,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,7,5,3,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,2,7,5,4,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,2,4,5,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,3,2,4,7,5]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,2,5,4,7]=>[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,3,2,5,7,4]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,2,7,4,5]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,2,7,5,4]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,4,2,5,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,3,4,2,7,5]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,4,5,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,3,4,5,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,4,7,2,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,4,7,5,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,5,2,4,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,3,5,2,7,4]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,5,4,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,3,5,4,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,5,7,2,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,5,7,4,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,7,2,4,5]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,7,2,5,4]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,7,4,2,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,7,4,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,7,5,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,3,7,5,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,2,3,5,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,4,2,3,7,5]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,2,5,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,4,2,5,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,2,7,3,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,2,7,5,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,3,2,5,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,4,3,2,7,5]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,3,5,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,4,3,5,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,3,7,2,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,3,7,5,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,5,2,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,4,5,2,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,5,3,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,4,5,3,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,5,7,2,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,5,7,3,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,7,2,3,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,7,2,5,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,7,3,2,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,7,3,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,7,5,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,4,7,5,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,2,3,4,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,5,2,3,7,4]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,2,4,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,5,2,4,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,2,7,3,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,2,7,4,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,3,2,4,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,5,3,2,7,4]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,3,4,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,5,3,4,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,3,7,2,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,3,7,4,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,4,2,3,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,5,4,2,7,3]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,4,3,2,7]=>[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,1,5,4,3,7,2]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,4,7,2,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,4,7,3,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,7,2,3,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,7,2,4,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,7,3,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,7,3,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,7,4,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,5,7,4,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,2,3,4,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,2,3,5,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,2,4,3,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,2,4,5,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,2,5,3,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,2,5,4,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,3,2,4,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,3,2,5,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,3,4,2,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,3,4,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,3,5,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,3,5,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,4,2,3,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,4,2,5,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,4,3,2,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,4,3,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,4,5,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,4,5,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,5,2,3,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,5,2,4,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,5,3,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,5,3,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,5,4,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,1,7,5,4,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,1,3,4,7,5]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,3,5,4,7]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,1,3,5,7,4]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,3,7,4,5]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,3,7,5,4]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,4,3,5,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,1,4,3,7,5]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,4,5,3,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,1,4,5,7,3]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,4,7,3,5]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,4,7,5,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,5,3,4,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,1,5,3,7,4]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,5,4,3,7]=>[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,1,5,4,7,3]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,5,7,3,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,5,7,4,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,7,3,4,5]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,7,3,5,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,7,4,3,5]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,7,4,5,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,7,5,3,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,1,7,5,4,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,3,1,4,7,5]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,1,5,4,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,3,1,5,7,4]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,1,7,4,5]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,1,7,5,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,3,4,1,7,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,5,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,3,5,1,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,5,7,1,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,7,1,4,5]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,7,1,5,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,7,4,1,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,1,3,5,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,4,1,3,7,5]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,1,5,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,4,1,5,7,3]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,1,7,3,5]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,1,7,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,3,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,4,3,1,7,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,5,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,4,5,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,5,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,7,1,3,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,7,1,5,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,7,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,7,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,1,3,4,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,5,1,3,7,4]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,1,4,3,7]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,5,1,4,7,3]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,1,7,3,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,1,7,4,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,5,3,1,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,3,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,5,4,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,2,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,4,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,7,1,3,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,7,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,7,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,1,3,4,5]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,1,3,5,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,1,4,3,5]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,1,4,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,1,5,3,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,1,5,4,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,3,1,4,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,3,1,5,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,3,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,3,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,4,1,3,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,4,1,5,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,4,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,5,1,3,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,5,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,5,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,2,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,2,4,5,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,1,2,4,7,5]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,2,5,4,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,1,2,5,7,4]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,2,7,4,5]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,2,7,5,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,4,2,5,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,1,4,2,7,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,4,7,2,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,5,2,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,1,5,2,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,5,7,2,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,7,2,4,5]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,7,2,5,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,7,4,2,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,7,5,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,2,1,4,7,5]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,1,5,4,7]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,2,1,5,7,4]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,1,7,4,5]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,1,7,5,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,2,4,1,7,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,5,1,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,2,5,1,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,5,7,1,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,7,1,4,5]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,7,1,5,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,7,4,1,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,4,1,2,7,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,1,7,2,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,4,2,1,7,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,7,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,7,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,5,1,2,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,1,7,2,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,5,2,1,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,2,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,3,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,1,2,4,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,1,2,5,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,1,4,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,1,5,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,2,1,4,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,2,1,5,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,2,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,2,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,4,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,4,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,5,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,5,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,3,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,2,3,5,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,1,2,3,7,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,2,7,3,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,3,2,5,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,1,3,2,7,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,3,7,2,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,7,2,3,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,7,3,2,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,2,1,3,7,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,1,7,3,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,2,3,1,7,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,3,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,7,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,7,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,1,2,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,3,1,2,7,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,1,7,2,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,3,2,1,7,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,7,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,7,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,4,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,1,2,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,1,3,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,2,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,2,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,3,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,3,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,4,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>1
[6,5,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,5,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,2,3,5,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,2,4,3,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,2,4,5,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,2,5,3,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,2,5,4,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,3,2,4,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,3,1,5,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,3,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,4,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,4,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,4,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,5,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,5,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,5,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,2,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,1,2,5,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,1,4,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,1,5,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,2,1,5,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,2,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,5,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,5,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,1,3,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[6,7,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,3,4,5,6]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,3,4,6,5]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,3,5,4,6]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,3,5,6,4]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,3,6,4,5]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,3,6,5,4]=>[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,4,3,5,6]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,4,3,6,5]=>[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,4,5,3,6]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,4,5,6,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,4,6,3,5]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,4,6,5,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,5,3,4,6]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,5,3,6,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,5,4,3,6]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,5,4,6,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,5,6,3,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,5,6,4,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,6,3,4,5]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,6,3,5,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,6,4,3,5]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,6,4,5,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,6,5,3,4]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,2,6,5,4,3]=>[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,2,4,5,6]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,2,4,6,5]=>[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,2,5,4,6]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,2,5,6,4]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,2,6,4,5]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,2,6,5,4]=>[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,4,2,5,6]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,4,2,6,5]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,4,5,2,6]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,4,5,6,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,4,6,2,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,4,6,5,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,5,2,4,6]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,5,2,6,4]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,5,4,2,6]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,5,4,6,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,5,6,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,5,6,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,6,2,4,5]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,6,2,5,4]=>[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,6,4,2,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,6,4,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,6,5,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,3,6,5,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,2,3,5,6]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,2,3,6,5]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,2,5,3,6]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,2,5,6,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,2,6,3,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,2,6,5,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,3,2,5,6]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,3,2,6,5]=>[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,3,5,2,6]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,3,5,6,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,3,6,2,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,3,6,5,2]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,5,2,3,6]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,5,2,6,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,5,3,2,6]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,5,3,6,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,5,6,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,5,6,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,6,2,3,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,6,2,5,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,6,3,2,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,6,3,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,6,5,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,4,6,5,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,2,3,4,6]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,2,3,6,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,2,4,3,6]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,2,4,6,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,2,6,3,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,2,6,4,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,3,2,4,6]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,3,2,6,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,3,4,2,6]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,3,4,6,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,3,6,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,3,6,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,4,2,3,6]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,4,2,6,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,4,3,2,6]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,4,3,6,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,4,6,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,4,6,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,6,2,3,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,6,2,4,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,6,3,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,6,3,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,6,4,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,5,6,4,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,2,3,4,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,2,3,5,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,2,4,3,5]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,2,4,5,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,2,5,3,4]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,2,5,4,3]=>[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,3,2,4,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,3,2,5,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,3,4,2,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,3,4,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,3,5,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,3,5,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,4,2,3,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,4,2,5,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,4,3,2,5]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,4,3,5,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,4,5,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,4,5,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,5,2,3,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,5,2,4,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,5,3,2,4]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,5,3,4,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,5,4,2,3]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,1,6,5,4,3,2]=>[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,3,4,5,6]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,3,4,6,5]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,3,5,4,6]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,3,5,6,4]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,3,6,4,5]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,3,6,5,4]=>[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,4,3,5,6]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,4,3,6,5]=>[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,4,5,3,6]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,4,5,6,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,4,6,3,5]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,4,6,5,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,5,3,4,6]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,5,3,6,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,5,4,3,6]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,5,4,6,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,5,6,3,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,5,6,4,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,6,3,4,5]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,6,3,5,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,6,4,3,5]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,6,4,5,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,6,5,3,4]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,1,6,5,4,3]=>[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,1,4,5,6]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,1,4,6,5]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,1,5,4,6]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,1,5,6,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,1,6,4,5]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,1,6,5,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,4,1,5,6]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,4,1,6,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,4,5,1,6]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,4,6,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,5,1,4,6]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,5,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,5,4,1,6]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,5,6,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,6,1,4,5]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,6,1,5,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,6,4,1,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,6,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,1,3,5,6]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,1,3,6,5]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,1,5,3,6]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,1,5,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,1,6,3,5]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,1,6,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,3,1,5,6]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,3,1,6,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,3,5,1,6]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,3,6,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,5,1,3,6]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,5,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,5,3,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,5,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,5,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,6,1,3,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,6,1,5,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,6,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,6,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,6,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,4,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,1,3,4,6]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,1,3,6,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,1,4,3,6]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,1,4,6,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,1,6,3,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,1,6,4,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,3,1,4,6]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,3,1,6,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,3,4,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,3,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,3,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,4,1,3,6]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,4,1,6,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,4,3,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,4,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,6,1,3,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,6,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,6,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,6,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,1,3,4,5]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,1,3,5,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,1,4,3,5]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,1,4,5,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,1,5,3,4]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,1,5,4,3]=>[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,3,1,4,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,3,1,5,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,3,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,3,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,4,1,3,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,4,1,5,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,4,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,5,1,3,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,5,1,4,3]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,5,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,2,4,5,6]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,2,4,6,5]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,2,5,4,6]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,2,5,6,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,2,6,4,5]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,2,6,5,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,4,2,5,6]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,4,2,6,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,4,5,2,6]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,4,6,2,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,5,2,4,6]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,5,2,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,5,4,2,6]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,5,6,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,6,2,4,5]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,6,2,5,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,6,4,2,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,6,5,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,1,4,5,6]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,1,4,6,5]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,1,5,4,6]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,1,5,6,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,1,6,4,5]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,1,6,5,4]=>[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,4,1,5,6]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,4,1,6,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,4,5,1,6]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,4,6,1,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,5,1,4,6]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,5,1,6,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,5,4,1,6]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,5,6,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,6,1,4,5]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,6,1,5,4]=>[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,6,4,1,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,6,5,1,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,1,2,5,6]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,1,2,6,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,1,5,2,6]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,1,6,2,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,2,1,5,6]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,2,1,6,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,2,5,1,6]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,2,6,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,5,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,5,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,6,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,6,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,1,2,4,6]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,1,2,6,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,1,4,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,1,6,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,2,1,4,6]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,2,1,6,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,2,4,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,2,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,4,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,4,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,6,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,6,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,1,2,4,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,1,2,5,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,1,4,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,1,5,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,2,1,4,5]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,2,1,5,4]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,2,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,2,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,4,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,4,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,5,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,5,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,3,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,2,3,5,6]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,2,3,6,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,2,5,3,6]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,2,5,6,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,2,6,3,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,2,6,5,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,3,2,5,6]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,3,2,6,5]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,3,5,2,6]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,3,5,6,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,3,6,2,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,3,6,5,2]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,5,2,3,6]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,5,3,2,6]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,6,2,3,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,6,3,2,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,1,3,5,6]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,1,3,6,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,1,5,3,6]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,1,6,3,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,3,1,5,6]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,3,1,6,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,3,5,1,6]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,3,6,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,5,1,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,5,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,5,3,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,5,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,5,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,5,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,6,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,6,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,6,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,6,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,6,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,2,6,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,1,2,5,6]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,1,2,6,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,1,5,2,6]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,1,6,2,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,2,1,5,6]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,2,1,6,5]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,2,5,1,6]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,2,6,1,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,5,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,5,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,5,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,6,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,6,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,6,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,6,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,6,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,3,6,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,1,2,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,1,2,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,1,3,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,2,1,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,2,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,2,3,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,3,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,3,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,1,2,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,1,3,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,2,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,2,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,3,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,3,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,4,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,2,3,4,6]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,2,3,6,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,2,4,3,6]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,2,4,6,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,2,6,3,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,2,6,4,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,3,2,4,6]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,3,4,2,6]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,4,2,3,6]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,4,3,2,6]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,1,3,4,6]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,1,4,3,6]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,3,1,4,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,3,1,6,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,3,4,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,3,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,3,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,4,1,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,4,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,4,3,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,4,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,4,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,4,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,6,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,6,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,6,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,6,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,6,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,2,6,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,1,2,4,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,1,2,6,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,1,4,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,1,4,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,1,6,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,1,6,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,2,1,4,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,2,1,6,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,2,4,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,2,6,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,2,6,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,4,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,4,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,6,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,6,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,6,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,3,6,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,1,2,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,1,2,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,1,3,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,1,3,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,1,6,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,1,6,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,2,1,3,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,2,1,6,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,2,3,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,2,6,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,2,6,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,3,1,2,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,3,2,1,6]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,6,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,5,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,2,3,5,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,2,4,3,5]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,2,4,5,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,2,5,3,4]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,2,5,4,3]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,3,2,4,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,3,1,5,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,3,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,3,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,4,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,4,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,4,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,4,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,4,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,4,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,5,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,5,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,5,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,5,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,5,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,2,5,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,1,2,5,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,1,4,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,1,4,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,1,5,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,1,5,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,2,1,5,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,2,5,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,2,5,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,4,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,5,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,5,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,5,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,5,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,1,2,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,1,3,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,1,3,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,6,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,6,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,6,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,2,5,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,3,5,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,5,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,3,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,4,5,6,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,5,6,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,5,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,6,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,6,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,4,5,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,4,5,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,3,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,1,3,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,1,3,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,2,3,5,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,2,3,5,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,1,4,5,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,1,4,5,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,1,4,5,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,1,4,5,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,2,4,5,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,3,4,5,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,3,4,5,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,3,4,5,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,3,4,5,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,6,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,5,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,6,2,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,6,2,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,6,2,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,3,4,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,3,4,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,2,5,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,4,5,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,2,6,1,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,2,6,1,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,3,6,1,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,3,6,1,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,4,6,1,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,4,6,1,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,2,5,6,1,7]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,5,6,1,7]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,5,6,1,7]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,3,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,4,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,1,2,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,4,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,3,1,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,4,1,5,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,4,1,5,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,1,2,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,4,1,2,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,1,3,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,2,3,5,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,1,4,5,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,3,4,5,7]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,4,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,5,1,6,7]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,5,1,6,7]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,1,2,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,1,2,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,1,3,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,2,3,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,2,3,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,1,4,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,1,2,4,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,3,4,6,7]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,3,4,6,7]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,1,5,6,7]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,2,1,5,6,7]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,1,5,6,7]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,1,5,6,7]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,2,5,6,7]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,3,5,6,7]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,3,5,6,7]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,4,5,6,7]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,4,5,6,7]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,4,5,6,7]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,4,5,6,7]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,4,5,6,7]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,3,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,5,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,4,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,2,3,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,2,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,3,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,3,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,5,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,4,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,5,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,4,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,3,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,4,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,4,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,3,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,3,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,4,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,2,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,1,2,4,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,2,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,2,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,2,3,5,1,6,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,3,4,5,1,6,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,3,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,2,1,3,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,1,2,3,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,2,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,2,3,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,1,2,4,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,1,2,3,4,6,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,2,1,5,6,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,3,4,1,5,6,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,2,3,5,6,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,2,3,4,5,6,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,5,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,3,4,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,3,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,4,5,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,6,2,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,3,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,2,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,2,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,5,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,4,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,3,2,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,2,3,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,2,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,5,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,6,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,3,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,3,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,4,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,5,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,5,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,4,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,5,6,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,3,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,3,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,2,1,3,4,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,1,2,3,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,1,2,3,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,3,2,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,3,4,2,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,3,1,2,5,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,2,1,3,5,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,1,2,3,5,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,3,2,1,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,2,3,1,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,3,1,2,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,1,2,3,4,5,7,8]=>[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,5,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,3,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,3,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,4,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,4,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,5,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,3,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,4,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,2,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,2,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,4,3,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,3,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,3,5,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,4,5,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,4,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,5,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,4,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,5,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,3,2,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,2,3,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,3,1,2,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,2,1,3,4,6,7,8]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,1,2,3,4,6,7,8]=>[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[3,4,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[3,2,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[4,3,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[3,4,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[4,2,1,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[4,1,2,3,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>1
[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>1
[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>1
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>1
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0
[6,8,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,7,6,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,6,8,3,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,7,5,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,8,5,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,6,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,7,8,5,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,7,6,5,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,7,8,6,5,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,7,6,5,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,8,6,5,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,8,7,5,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,6,8,5,1]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,7,8,5,1]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,4,7,8,6,1]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,4,8,7,6,1]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,4,7,8,6,1]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,5,8,7,6,1]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,5,7,8,6,1]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,5,8,7,6,1]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,5,7,8,6,1]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,5,8,7,6,1]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,5,7,8,6,1]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,5,8,7,6,1]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,5,7,8,6,1]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,3,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,4,8,7,1]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,4,8,7,1]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,6,5,8,7,1]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,5,8,7,1]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,3,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,6,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,7,6,5,8,1]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,6,5,8,1]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,7,5,8,1]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,4,7,6,8,1]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,4,7,6,8,1]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,5,7,6,8,1]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,5,7,6,8,1]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,5,7,6,8,1]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,4,7,8,1]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,4,7,8,1]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,4,7,8,1]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,5,7,8,1]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,8,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,8,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,4,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,5,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,6,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,5,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,8,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,8,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,6,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,7,5,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,5,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,6,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,7,8,6,5,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,6,8,7,5,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,7,6,5,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,7,6,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,6,7,8,5,2]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,5,8,7,6,2]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,5,7,8,6,2]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,4,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,4,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,5,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,6,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,5,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,6,5,8,7,2]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,3,6,8,7,2]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,3,6,8,7,2]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,5,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,5,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,7,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,7,4,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,5,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,4,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,5,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,6,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,6,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,6,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,5,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,6,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,7,6,5,8,2]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,6,7,5,8,2]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,4,7,6,8,2]=>[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,4,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,6,3,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,6,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,6,5,7,8,2]=>[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,3,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,8,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,8,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,6,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,7,8,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,8,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,7,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,5,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,6,8,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,6,5,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,7,5,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,7,6,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,5,7,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,6,7,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,8,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,7,8,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,6,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,7,6,8,5,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,6,7,8,5,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,4,8,7,6,3]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,4,7,8,6,3]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,5,8,7,6,3]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,5,7,8,6,3]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,5,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,6,4,8,7,3]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,6,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,4,6,8,7,3]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,5,6,8,7,3]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,6,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,7,5,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,7,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,5,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,6,7,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,7,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,6,7,5,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,4,7,6,8,3]=>[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,6,4,7,8,3]=>[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,4,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,5,8,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,3,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,5,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,5,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,5,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,3,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,5,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,5,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,5,4,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,4,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,4,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,2,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,2,5,4,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,3,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,3,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,3,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,4,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,4,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,2,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>2
[3,2,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>2
[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>2
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,6,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,6,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,4,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,4,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,5,6,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,2,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,2,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,4,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,3,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,3,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,4,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,5,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,4,5,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,5,4,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,5,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,2,5,4,6,1,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,1,5,6,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,1,4,6,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,1,5,4,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[3,4,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[2,4,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[3,2,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>4
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>2
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>1
[5,7,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,6,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,5,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,5,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,5,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,6,5,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,7,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,4,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,4,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,4,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,5,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,7,6,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,7,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,5,7,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,7,6,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,6,7,5,4,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,5,7,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,7,6,5,1,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,3,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,5,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,5,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,5,4,7,6,1,8]=>[7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,5,7,6,1,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,6,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,4,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,5,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,5,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,5,6,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,2,6,5,7,1,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,2,6,5,7,1,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,3,6,5,7,1,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,6,5,7,1,8]=>[7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>2
[1,4,3,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>2
[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>2
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>3
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>2
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>2
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>1
[3,6,5,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,6,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,4,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,4,5,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,3,6,5,4,1,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,3,5,6,4,1,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,2,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,4,3,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,3,4,6,5,1,7,8]=>[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,5,4,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>2
[3,5,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[2,5,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[2,4,5,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,2,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[2,3,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[2,4,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>2
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>1
[2,4,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>1
[1,3,4,5,8,6,7,2]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,6,7,5,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,4,5,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,4,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,4,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,6,5,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,5,8,6,7,2]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,5,7,6,2]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,6,7,5,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,4,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,4,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,5,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,5,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,6,5,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,3,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,3,6,5,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,3,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,5,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,5,3,6,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,5,6,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,6,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,6,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,4,3,6,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,4,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,5,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,1,4,5,8,6,7,3]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,8,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,8,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,8,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,8,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,4,8,6,7,3]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,1,6,4,5,7,8,3]=>[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,4,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,4,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,4,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,5,4,6,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,5,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,5,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,5,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,5,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,6,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,3,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,5,8,6,7,1]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,5,6,1,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,7,5,6,8,1]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,5,6,7,1]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,5,7,6,1]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,6,5,7,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,6,7,5,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,4,8,6,7,1]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,4,5,1,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,3,6,4,5,1,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,6,4,5,7,8,1]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,4,5,8,7,1]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,4,5,6,8,1]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,4,5,6,7,1]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,4,6,5,8,1]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,4,6,7,5,1]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,4,6,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,7,5,4,6,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,4,6,7,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,7,5,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,6,4,7,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,6,7,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,5,4,7,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,3,5,8,6,7,1]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,5,6,7,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,5,7,6,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,6,5,7,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[2,5,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,5,3,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,6,3,4,5,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,4,5,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,6,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,3,5,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,5,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,5,4,6,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,5,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,3,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,4,3,5,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,3,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,6,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,4,5,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,4,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,4,6,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,7,5,6,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,4,5,8,6,7,1]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,7,5,6,8,1]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,5,6,7,1]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,6,7,5,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,4,8,6,7,1]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,5,1,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,2,6,4,5,1,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,2,6,4,5,7,1,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,7,4,5,6,1,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,8,4,5,6,7,1]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,4,6,5,1,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,7,4,6,5,8,1]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,6,5,7,1]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,4,6,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,8,5,4,6,7,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,4,7,6,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,6,4,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,7,5,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,6,4,7,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,5,7,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,5,6,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[4,2,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,2,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,2,3,5,8,7,6,1]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,2,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,2,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,5,6,7,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,5,7,6,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,2,3,4,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,3,4,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,3,4,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,3,4,5,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,3,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,3,5,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,5,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,3,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,2,4,3,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,2,4,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,4,3,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,4,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,2,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,5,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,6,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,5,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,6,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,6,5,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,2,8,5,6,7,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,5,7,6,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,2,4,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,3,2,4,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,6,7,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,2,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,2,5,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,6,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,4,2,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,3,4,2,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,3,4,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,2,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,4,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,4,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,5,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,5,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,6,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,6,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,3,2,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,2,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,4,3,5,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,3,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[2,1,4,6,3,5,8,7]=>[2,1,5,6,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,4,1,6,3,5,8,7]=>[3,5,1,6,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,6,1,3,5,8,7]=>[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,4,3,6,8,5,7]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,4,1,3,6,8,5,7]=>[3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,1,4,6,3,8,5,7]=>[2,1,5,7,3,8,4,6]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,6,3,8,5,7]=>[3,5,1,7,2,8,4,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,3,8,5,7]=>[4,5,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,6,8,3,5,7]=>[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,6,8,3,5,7]=>[3,6,1,7,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,8,3,5,7]=>[4,6,7,1,8,2,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,1,3,5,7]=>[5,6,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,3,5,7,8]=>[3,5,1,6,2,4,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,4,6,1,3,5,7,8]=>[4,5,6,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,4,6,1,3,7,5,8]=>[4,5,7,1,2,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,1,6,7,3,5,8]=>[3,6,1,7,5,2,4,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,6,7,1,3,5,8]=>[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,1,3,6,7,8,5]=>[3,4,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,1,4,6,3,7,8,5]=>[2,1,5,8,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,6,1,3,7,8,5]=>[4,5,8,1,2,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,6,7,3,8,5]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,6,7,3,8,5]=>[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,7,3,8,5]=>[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,1,3,8,5]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,6,7,8,3,5]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,6,7,8,3,5]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,7,8,3,5]=>[4,7,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,1,8,3,5]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,8,1,3,5]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,3,7,5,8,6]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,4,1,3,7,5,8,6]=>[3,4,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,1,4,7,3,5,8,6]=>[2,1,5,8,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,7,1,3,5,8,6]=>[4,5,8,1,2,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,4,1,3,7,8,5,6]=>[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,1,7,3,8,5,6]=>[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,3,8,5,6]=>[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,7,8,3,5,6]=>[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,7,8,3,5,6]=>[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,8,3,5,6]=>[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,1,3,5,6]=>[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,5,3,7,8,6]=>[3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,4,5,1,3,7,8,6]=>[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,1,4,5,7,3,8,6]=>[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,5,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,1,3,8,6]=>[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,5,7,8,3,6]=>[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,5,1,7,8,3,6]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,1,8,3,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,8,1,3,6]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,4,1,3,8,5,6,7]=>[3,4,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,1,4,8,3,5,6,7]=>[2,1,5,8,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,8,1,3,5,6,7]=>[4,5,8,1,2,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,5,3,8,6,7]=>[3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,1,4,5,8,3,6,7]=>[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,5,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,1,3,6,7]=>[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,5,6,3,8,7]=>[3,6,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,5,1,6,3,8,7]=>[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,5,6,1,3,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,4,5,6,8,3,7]=>[2,1,7,4,5,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,5,6,1,8,3,7]=>[5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,8,1,3,7]=>[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,3,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[2,4,1,5,3,6,7,8]=>[3,5,1,4,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[2,4,1,5,6,3,7,8]=>[3,6,1,4,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,4,5,1,6,3,7,8]=>[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,4,5,6,1,3,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,4,1,5,6,7,3,8]=>[3,7,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,5,1,6,7,3,8]=>[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,5,6,1,7,3,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,5,6,7,1,3,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,1,5,6,7,8,3]=>[3,8,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,7,8,1,3]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,6,4,8,7]=>[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,5,1,3,6,4,8,7]=>[3,6,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,5,6,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,5,1,6,3,4,8,7]=>[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,5,6,1,3,4,8,7]=>[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,5,3,6,8,4,7]=>[2,1,7,4,5,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,6,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,1,3,8,4,7]=>[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,6,8,3,4,7]=>[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,6,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,3,6,4,7,8]=>[3,6,1,4,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,5,1,6,3,4,7,8]=>[3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,5,1,6,3,7,4,8]=>[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,1,7,3,4,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,1,5,3,6,7,8,4]=>[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,3,6,7,8,4]=>[3,8,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,6,3,7,8,4]=>[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,6,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,6,7,3,8,4]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,6,7,3,8,4]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,6,7,8,3,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,6,7,8,3,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,1,7,8,3,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,7,4,8,6]=>[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,7,3,4,8,6]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,7,3,4,8,6]=>[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,3,4,8,6]=>[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,7,8,4,6]=>[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,7,3,8,4,6]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,7,3,8,4,6]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,3,8,4,6]=>[4,7,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,7,8,3,4,6]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,7,8,3,4,6]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,8,3,4,6]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,1,3,4,6]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,3,7,4,6,8]=>[3,6,1,4,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,5,7,1,4,6,8]=>[5,2,6,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,5,1,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,1,4,8,6]=>[5,2,6,8,1,3,7,4]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,5,7,8,4,6]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,5,7,1,8,4,6]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,8,1,4,6]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,8,4,6,7]=>[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,8,3,4,6,7]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,8,3,4,6,7]=>[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,3,4,6,7]=>[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,1,4,8,6,7]=>[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,3,5,1,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,1,4,6,7]=>[5,2,6,8,1,3,7,4]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,1,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,5,6,1,4,8,7]=>[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,1,5,6,8,4,7]=>[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,5,1,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,3,4,6,7,8]=>[3,5,1,4,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[2,3,5,1,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[2,3,5,6,1,4,7,8]=>[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,3,5,6,1,7,4,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,5,6,7,1,4,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,5,1,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,3,7,4,8,5]=>[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,7,3,4,8,5]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,7,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,3,4,8,5]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,3,7,8,4,5]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,3,7,8,4,5]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,3,8,4,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,7,3,8,4,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,3,8,4,5]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,7,8,3,4,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,8,3,4,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,3,4,5,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,1,3,4,7,5,8]=>[3,7,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,6,1,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,6,7,1,4,5,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,1,6,3,4,7,8,5]=>[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,3,4,7,8,5]=>[3,8,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,6,1,7,8,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,3,8,4,5,7]=>[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,8,3,4,5,7]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,8,3,4,5,7]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,3,4,5,7]=>[4,7,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,3,4,8,5,7]=>[2,1,7,4,5,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,3,1,6,4,8,5,7]=>[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,6,1,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,6,8,4,5,7]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,6,1,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,3,4,5,8,7]=>[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,6,1,3,4,5,8,7]=>[3,6,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,6,1,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,4,1,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,6,1,8,5,7]=>[5,2,3,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,8,1,5,7]=>[6,2,3,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,3,4,5,7,8]=>[3,6,1,4,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,3,4,6,1,5,7,8]=>[5,2,3,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,3,4,6,1,7,5,8]=>[5,2,3,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,6,7,1,5,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,6,1,7,8,5]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,7,8,1,5]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,8,4,5,6]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,1,3,8,4,5,6]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,3,4,5,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,1,8,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,3,4,5,6]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,4,8,5,6]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,3,1,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,7,1,4,8,5,6]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,4,5,8,6]=>[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,1,3,4,5,8,6]=>[3,8,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,7,4,5,8,6]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,7,1,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,7,1,5,8,6]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,1,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,7,1,8,5,6]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,8,1,5,6]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,3,4,5,6,8]=>[3,7,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,7,1,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,7,1,5,6,8]=>[5,2,3,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,5,7,1,8,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,5,7,8,1,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,4,5,6,7]=>[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,8,1,3,4,5,6,7]=>[3,8,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,1,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,3,4,8,1,5,6,7]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>2
[2,3,4,5,1,8,6,7]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,3,4,5,8,1,6,7]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,5,6,8,1,7]=>[7,2,3,4,5,8,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[3,1,4,6,2,5,8,7]=>[5,2,3,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,4,1,6,2,5,8,7]=>[5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,4,6,1,2,5,8,7]=>[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,1,4,2,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,1,2,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,6,2,8,5,7]=>[5,2,3,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,8,2,5,7]=>[6,2,3,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,8,2,5,7]=>[6,3,2,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,2,7,5,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,1,6,7,2,5,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,6,7,1,2,5,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,4,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,1,2,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,6,2,7,8,5]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,2,7,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,7,2,8,5]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,7,2,8,5]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,7,8,2,5]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,7,8,2,5]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,1,7,8,2,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,8,1,2,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,1,2,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,7,2,5,8,6]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,7,2,5,8,6]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,2,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,7,2,8,5,6]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,8,2,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,4,5,2,7,8,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,5,1,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,1,4,5,7,2,8,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,5,7,8,2,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,5,7,8,2,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,2,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,1,2,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,8,2,5,6,7]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,2,5,6,7]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,5,2,8,6,7]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,5,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,1,4,5,8,2,6,7]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,5,6,2,8,7]=>[6,2,3,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,4,5,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,4,5,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,1,4,5,6,8,2,7]=>[7,2,3,4,5,8,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,2,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[3,1,4,5,2,6,7,8]=>[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,4,1,5,2,6,7,8]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,1,4,5,6,2,7,8]=>[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,4,5,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,1,4,5,6,7,2,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,5,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,4,5,6,7,8,2]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,5,6,7,8,2]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,1,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,1,2,6,4,8,7]=>[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,1,5,6,2,4,8,7]=>[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,1,6,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,6,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,1,5,2,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,8,2,4,7]=>[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,8,2,4,7]=>[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,1,2,4,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,2,4,7,8]=>[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,5,1,6,2,4,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,5,6,1,2,4,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,5,1,2,6,7,4,8]=>[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,6,2,7,4,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,6,7,2,4,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,7,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,5,2,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,2,6,7,8,4]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,2,7,8,4]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,2,7,8,4]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,7,2,8,4]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,7,2,8,4]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,7,2,8,4]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,7,8,2,4]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,7,8,2,4]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,7,8,2,4]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,1,8,2,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,2,7,4,8,6]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,2,4,8,6]=>[5,2,6,8,1,3,7,4]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,2,4,8,6]=>[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,2,4,8,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,7,8,4,6]=>[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,2,7,8,4,6]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,2,8,4,6]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,2,8,4,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,2,8,4,6]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,8,2,4,6]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,8,2,4,6]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,1,2,4,6]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,7,4,6,8]=>[4,2,6,1,7,3,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,5,7,2,4,6,8]=>[5,2,6,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,7,2,4,6,8]=>[5,6,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,1,2,4,6,8]=>[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,5,2,4,7,8,6]=>[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,5,1,2,4,7,8,6]=>[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,1,2,5,7,4,8,6]=>[3,2,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,5,2,7,4,8,6]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,2,4,8,6]=>[1,5,6,8,2,3,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,5,7,8,4,6]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,5,2,7,8,4,6]=>[1,4,7,2,8,6,3,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,2,8,4,6]=>[1,5,7,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,8,2,4,6]=>[1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,5,2,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,2,8,4,6,7]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,8,2,4,6,7]=>[5,2,6,8,1,3,7,4]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,2,4,6,7]=>[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,4,8,6,7]=>[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,5,1,2,4,8,6,7]=>[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,1,2,5,8,4,6,7]=>[3,2,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,5,2,8,4,6,7]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,8,2,4,6,7]=>[1,5,6,8,2,3,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,5,6,8,4,7]=>[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,5,2,6,8,4,7]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,6,2,8,4,7]=>[1,5,7,4,2,8,3,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,6,8,2,4,7]=>[1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,5,2,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,1,2,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,5,2,6,7,8,4]=>[1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,6,2,7,8,4]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,6,7,2,8,4]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,6,7,8,2,4]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,6,2,7,4,8,5]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,2,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,7,2,4,8,5]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,2,4,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,2,7,8,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,7,2,8,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,7,2,8,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,2,8,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,7,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,7,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,6,2,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,1,2,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,6,2,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,2,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,6,4,7,8,5]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,6,2,4,7,8,5]=>[1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,6,7,4,8,5]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,6,7,2,4,8,5]=>[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,6,2,7,8,4,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,7,8,2,4,5]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,6,2,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,2,8,4,5,7]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,2,4,5,7]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,2,4,5,7]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,2,4,5,7]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,2,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,2,4,8,5,7]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,6,8,4,5,7]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,1,6,2,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,6,1,2,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[1,3,4,6,8,2,5,7]=>[1,6,3,7,8,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,1,2,4,5,7,8]=>[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[1,3,4,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,6,7,8,2,5]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,2,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,2,8,4,5,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,2,4,5,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,2,4,5,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,2,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,1,2,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,7,2,8,4,5,6]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,8,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,2,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,2,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,2,4,5,8,6]=>[1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,7,2,5,8,6]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,7,8,2,5,6]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,2,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,2,4,5,6,8]=>[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,2,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>2
[1,3,4,5,7,8,2,6]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,8,2,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,8,2,4,5,6,7]=>[1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,2,5,6,7]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>2
[1,3,4,5,6,8,2,7]=>[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,5,2,6,3,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,1,2,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,5,6,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,1,6,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,5,2,6,8,3,7]=>[7,2,4,3,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,2,8,3,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,8,2,3,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,2,3,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,5,1,6,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,5,1,6,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,5,6,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,6,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,2,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,2,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,7,8,2,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,2,7,3,8,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,2,3,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,1,2,3,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,2,7,8,3,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,2,8,3,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,2,8,3,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,7,2,3,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,5,2,3,7,8,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,1,2,5,3,7,8,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,1,2,5,7,3,8,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,7,2,3,8,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,5,7,8,3,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,5,7,8,3,6]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,2,7,8,3,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,5,2,8,3,6,7]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,2,3,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,2,3,8,6,7]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,5,1,2,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,1,2,5,3,8,6,7]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,1,2,5,8,3,6,7]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,8,2,3,6,7]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,5,6,3,8,7]=>[6,2,3,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,2,5,6,8,3,7]=>[7,2,3,4,5,8,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,5,6,8,3,7]=>[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,6,2,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,6,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,5,2,3,6,7,8]=>[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,1,2,5,3,6,7,8]=>[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,1,2,5,6,3,7,8]=>[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,2,5,6,7,3,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,2,5,6,7,8,3]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,5,6,7,8,3]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,2,6,7,8,3]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,6,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,6,7,2,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,6,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,6,2,7,3,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,2,3,8,5]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,2,3,8,5]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,2,3,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,7,8,3,5]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,2,8,3,5]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,2,8,3,5]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,2,8,3,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,8,2,3,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,8,2,3,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,8,2,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,7,3,5,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,2,7,3,5,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,7,2,3,5,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,7,1,2,3,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,2,3,7,5,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,2,3,7,5,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,2,6,3,7,5,8]=>[5,2,3,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,2,6,7,3,5,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,2,3,7,8,5]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,3,7,8,5]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,2,3,7,8,5]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,6,7,3,8,5]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,2,7,3,8,5]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,2,3,8,5]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,6,7,8,3,5]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,2,7,8,3,5]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,2,8,3,5]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,8,2,3,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,6,2,8,3,5,7]=>[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,8,3,5,7]=>[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,2,3,5,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,2,3,5,7]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,2,3,5,7]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,3,8,5,7]=>[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,3,8,5,7]=>[5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,3,8,5,7]=>[5,2,3,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,2,3,8,5,7]=>[1,5,7,4,2,8,3,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,6,8,3,5,7]=>[1,6,3,7,8,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,2,8,3,5,7]=>[1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,8,2,3,5,7]=>[1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,6,2,3,5,8,7]=>[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,1,2,3,5,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,2,6,3,5,8,7]=>[5,2,3,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,2,3,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[4,1,2,3,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,6,2,3,5,7,8]=>[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,1,2,3,5,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,2,6,3,5,7,8]=>[5,2,3,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[1,4,2,3,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>2
[4,1,2,3,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,7,2,8,3,5,6]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,8,3,5,6]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,2,3,5,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,2,3,5,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,3,8,5,6]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,3,8,5,6]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,7,3,8,5,6]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,2,3,8,5,6]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,7,8,3,5,6]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,7,8,3,5,6]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,2,8,3,5,6]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,8,2,3,5,6]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,7,2,3,5,8,6]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,3,5,8,6]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,7,3,5,8,6]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,7,3,5,8,6]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,2,3,5,8,6]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,3,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,2,3,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,7,2,3,5,6,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,1,2,3,5,6,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,2,7,3,5,6,8]=>[5,2,3,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,2,3,7,5,6,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>2
[4,1,8,2,3,5,6,7]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,3,5,6,7]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,3,5,6,7]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,8,3,5,6,7]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,2,3,5,6,7]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,3,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,1,6,2,7,3,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,7,3,8,4]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,7,8,3,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,7,8,3,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,7,3,4,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,1,2,7,3,4,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,1,7,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,2,3,7,4,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,2,6,3,7,4,8]=>[7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,2,6,7,3,4,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,2,3,7,8,4]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,3,7,8,4]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,3,7,8,4]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,6,3,7,8,4]=>[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,2,3,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,6,7,3,8,4]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,7,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,6,7,8,3,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,6,7,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,2,7,8,3,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,7,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,6,2,8,3,4,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,8,3,4,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,2,3,4,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,2,3,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,3,8,4,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,3,8,4,7]=>[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,6,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,2,3,8,4,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,6,8,3,4,7]=>[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,6,8,3,4,7]=>[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,2,8,3,4,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,6,2,3,4,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,1,2,3,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,2,6,3,4,8,7]=>[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,2,3,6,8,4,7]=>[7,2,3,4,5,8,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,3,6,8,4,7]=>[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,6,2,3,4,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,2,6,3,4,7,8]=>[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,2,3,6,4,7,8]=>[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,2,3,6,7,4,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,2,3,6,7,8,4]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,3,6,7,8,4]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,2,8,3,4,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,8,3,4,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,2,3,4,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,2,3,4,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,2,3,4,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,3,8,4,6]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,3,8,4,6]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,3,8,4,6]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,7,3,8,4,6]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,2,3,8,4,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,2,8,3,4,6]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,8,2,3,4,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,2,3,4,8,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,3,4,8,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,3,4,8,6]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,7,3,4,8,6]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,2,3,4,8,6]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,3,7,4,8,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,3,7,8,4,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,3,7,8,4,6]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,2,3,4,6,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,2,3,4,6,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,2,7,3,4,6,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,2,3,4,7,8,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,8,2,3,4,6,7]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,3,4,6,7]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,8,3,4,6,7]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,3,4,6,7]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,3,4,6,7]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,3,8,4,6,7]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,3,4,8,6,7]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,1,7,2,8,3,4,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,8,3,4,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,3,8,4,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,3,8,4,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,3,8,4,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,2,3,8,4,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,2,7,8,3,4,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,8,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,2,8,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,2,3,4,8,5]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,3,4,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,3,4,8,5]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,3,4,8,5]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,2,3,4,8,5]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,2,3,7,8,4,5]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,3,7,8,4,5]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,2,3,4,5,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,2,7,3,4,5,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,2,3,7,4,5,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,2,3,4,7,5,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,2,3,4,7,8,5]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,3,4,7,8,5]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,8,2,3,4,5,7]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,3,4,5,7]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,3,4,5,7]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,3,4,5,7]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,2,3,4,5,7]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,2,3,8,4,5,7]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,3,8,4,5,7]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,2,3,4,8,5,7]=>[7,2,3,4,5,8,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,3,4,8,5,7]=>[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,2,3,4,5,8,7]=>[6,2,3,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,1,8,2,3,4,5,6]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,3,4,5,6]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,8,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,2,3,4,5,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,2,3,8,4,5,6]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,3,8,4,5,6]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,2,3,4,8,5,6]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,4,5,8,6]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,3,4,5,8,6]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,3,4,5,6,7]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,4,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>5
[3,4,1,2,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>4
[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>4
[4,5,6,1,2,3,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>3
[2,1,5,6,3,4,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>4
[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>4
[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>3
[8,7,4,3,6,5,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,7,4,3,6,5,2,9,8,1]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,4,3,6,5,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,3,4,10,1,2,7]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,1,2,3,4,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[2,1,6,7,8,3,4,5,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>3
[3,4,1,2,7,8,5,6,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>3
[2,1,4,3,7,8,5,6,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>4
[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>4
[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>3
[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>3
[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[9,7,6,5,4,3,2,10,1,8]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,6,5,4,3,2,9,8,1]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,5,4,3,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,3,2,9,6,5,8,7,4,1]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,10,9,6,5,8,7,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,9,10,1,7,8,5,6,2,3]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,9,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,7,8,9,10,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[6,7,8,9,10,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,4,1,2,8,9,10,5,6,7]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>2
[2,1,4,3,8,9,10,5,6,7]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>3
[2,1,5,6,3,4,9,10,7,8]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>3
[4,5,6,1,2,3,9,10,7,8]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>2
[3,4,1,2,6,5,9,10,7,8]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>3
[2,1,4,3,6,5,9,10,7,8]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>4
[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>4
[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>3
[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>3
[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>2
[10,9,4,3,8,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,5,9,3,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,3,8,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>3
[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>2
[10,3,2,9,8,7,6,5,4,1]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[3,10,1,9,8,7,6,5,4,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,2,5,1,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,2,5,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,2,4,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,2,6,1,3,5,7,8]=>[5,4,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,3,6,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,3,5,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,2,7,1,3,4,6,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,1,2,4,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,7,1,2,3,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,1,3,4,5,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,7,1,2,4,5,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,7,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,1,2,4,6,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,6,1,2,4,5,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,6,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,3,4,6,7]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,3,4,5,7]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,2,4,5,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,2,3,5,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,2,3,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,3,4,5,6]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,2,4,5,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,2,3,5,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,3,5,6,7]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,2,4,6,7]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,2,4,5,7]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,2,4,5,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,2,3,5,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,1,4,6,8]=>[5,2,6,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,5,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,4,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,7,1,3,5,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,6,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,6,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,5,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,6,1,3,5,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,6,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,5,8,1,4,6,7]=>[5,2,6,8,1,3,7,4]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,1,3,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,1,3,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,1,3,5,7]=>[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,1,3,5,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,1,2,4,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,1,3,5,6]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,1,3,5,7]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,6,1,2,5,7]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,6,1,3,4,7]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,6,1,2,4,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,1,3,5,6]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,1,3,4,6]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,2,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,3,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,7,3,5,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,2,4,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,4,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,3,6,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,2,6,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,2,5,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,2,5,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,1,2,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,1,4,5,7]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,1,3,5,7]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,1,3,5,7]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,1,2,5,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,1,3,4,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,1,3,5,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,1,5,7,8]=>[5,3,2,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,3,2,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,2,6,1,3,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,3,2,5,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,2,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,2,7,1,5,6,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,7,1,4,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,3,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,2,7,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,7,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,3,7,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,7,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,2,5,1,4,6,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,2,5,1,3,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,2,6,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,2,6,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,6,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,2,6,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,5,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,2,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,1,4,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,1,4,5,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,1,3,5,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,1,4,5,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,1,3,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,1,4,6,7]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,1,3,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,1,4,5,7]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,1,3,5,7]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,1,2,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,1,3,5,7]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,1,3,4,7]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,1,4,5,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,1,3,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,1,3,5,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,8,1,4,7]=>[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,4,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,7,1,4,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,7,1,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,7,1,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,7,1,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,8,1,4,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,8,1,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,5,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,7,1,4,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,7,1,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,7,1,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,7,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,6,1,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,7,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,7,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,7,3,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,6,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,8,2,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,6,1,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,6,1,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,6,1,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,5,1,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,7,1,4,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,7,1,3,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,7,1,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,7,1,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,5,1,4,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,4,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,3,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,4,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,3,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,8,1,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,8,1,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,8,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,2,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,6,1,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,6,1,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,5,1,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,4,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,7,1,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,7,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,2,7,1,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,2,7,1,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,3,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,2,6,1,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,2,6,1,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,4,7,5,6]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,6,4,5,7]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,7,4,5,6]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,3,8,7,4,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,6,7,4,5]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,3,7,5,6]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,3,4,6,7]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,5,3,4,8,6]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,3,4,5,7]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,6,3,4,8,5]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,5,3,8,4,7]=>[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,3,7,4,6]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,3,7,4,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,5,3,7,8,4]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,6,3,5,7]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,7,3,5,6]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,7,6,3,8,5]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,6,3,4,7]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,7,3,4,6]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,6,3,4,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,5,6,3,8,4]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,5,8,7,3,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,6,7,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,4,7,5,6]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,2,6,4,8,5]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,3,5,6,7]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,3,5,8,6]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,3,8,5,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,3,7,5,6]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,3,7,8,5]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,3,4,6,7]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,3,4,8,6]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,3,4,5,6]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,3,7,4,6]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,3,7,4,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,3,7,8,4]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,2,8,3,6,7]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,2,7,3,8,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,6,3,5,7]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,7,3,5,6]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,6,3,8,5]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,6,3,4,7]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,7,3,4,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,6,3,4,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,6,3,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,2,6,8,3,7]=>[7,2,4,3,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,2,8,7,3,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,6,7,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,6,7,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,2,7,5,6]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,2,4,5,7]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,2,7,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,2,7,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,2,3,6,7]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,2,3,8,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,2,3,5,7]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,2,3,5,6]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,2,3,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,5,2,3,4,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,2,8,3,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,2,7,3,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,5,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,2,7,8,3]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,6,2,5,7]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,7,2,5,6]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,7,6,2,8,5]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,6,2,4,7]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,7,2,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,6,2,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,5,6,2,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,6,2,3,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,7,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,6,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,5,8,7,2,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,6,7,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,6,4,5,7]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,7,4,5,6]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,6,7,4,5]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,3,7,5,6]=>[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,3,4,6,7]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,3,4,8,6]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,3,4,5,7]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,3,7,4,6]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,3,7,4,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,6,3,5,7]=>[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,7,3,5,6]=>[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,6,3,8,5]=>[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,6,3,4,7]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,7,3,4,6]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,6,3,4,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,6,3,8,4]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,6,7,3,5]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,4,5,8,6]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,4,8,5,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,4,7,5,6]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,4,7,8,5]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,8,4,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,6,4,5,7]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,7,4,5,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,6,4,8,5]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,6,8,4,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,8,7,4,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,6,7,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,6,7,8,4]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,3,5,8,6]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,3,8,5,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,3,7,5,6]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,3,7,8,5]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,3,4,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,3,7,4,6]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,3,7,4,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,6,3,5,7]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,7,3,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,6,3,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,6,3,4,7]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,7,3,4,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,6,3,4,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,6,3,8,4]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,6,7,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,6,7,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,2,5,6,7]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,7,2,5,8,6]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,2,7,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,6,2,7,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,2,4,6,7]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,2,4,8,6]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,2,4,5,7]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,2,4,5,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,6,2,4,8,5]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,5,2,8,4,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,2,7,4,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,2,7,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,5,2,7,8,4]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,2,3,6,7]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,2,3,8,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,2,3,5,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,2,3,5,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,2,3,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,2,3,4,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,2,3,4,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,5,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,2,7,3,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,2,7,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,6,2,5,7]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,7,2,5,6]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,7,6,2,8,5]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,6,2,4,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,7,2,4,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,6,2,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,6,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,6,2,3,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,7,2,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,5,8,7,2,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,6,7,2,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,6,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,5,6,7,8,2]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,4,7,5,6]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,1,6,4,8,5]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,1,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,3,5,6,7]=>[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,3,5,8,6]=>[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,3,8,5,7]=>[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,3,7,5,6]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,3,7,8,5]=>[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,3,4,6,7]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,3,4,8,6]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,3,4,5,6]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,3,8,4,7]=>[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,3,7,4,6]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,3,7,4,5]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,6,3,5,7]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,7,3,5,6]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,6,3,8,5]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,6,3,4,7]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,7,3,4,6]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,6,3,4,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,6,3,8,4]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,8,7,3,6]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,6,7,3,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,6,7,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,2,5,8,6]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,2,7,5,6]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,1,2,7,8,5]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,2,4,8,6]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,2,4,8,5]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,2,7,4,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,2,7,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,2,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,2,3,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,2,3,5,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,2,3,4,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,2,7,3,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,2,7,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,2,7,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,1,2,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,6,2,5,7]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,7,2,5,6]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,6,2,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,6,2,4,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,7,2,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,6,2,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,6,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,6,2,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,7,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,6,7,2,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,6,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,1,7,5,6]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,1,4,5,7]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,1,7,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,1,3,6,7]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,1,3,8,6]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,1,3,5,7]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,1,3,4,7]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,1,7,3,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,1,7,8,3]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,1,2,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,6,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,5,1,2,4,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,5,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,6,1,7,2,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,5,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,6,1,5,7]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,7,1,5,6]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,6,1,8,5]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,6,1,4,7]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,7,1,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,6,1,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,6,1,3,7]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,7,1,3,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,6,1,8,3]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,7,1,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,5,8,7,1,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,3,4,5,9,6]=>[9,2,7,4,5,6,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,1,6,5,2,3,4,7,8]=>[9,2,7,6,5,4,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,1,4,5,6,2,3,9,7]=>[9,2,7,6,5,4,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,1,9,5,6,2,3,4,7]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,1,9,7,6,2,3,4,5]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,1,4,8,6,7,2,3,5]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,1,8,5,6,7,2,3,4]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,1,4,5,6,7,2,9,3]=>[9,2,7,6,5,4,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,8,1,9,7,3,4,5,6]=>[3,9,1,8,7,6,5,4,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,9,1,8,6,7,3,4,5]=>[3,9,1,8,7,6,5,4,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,9,1,5,6,7,8,3,4]=>[3,9,1,8,7,6,5,4,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,1,2,4,5,6,7,8]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,3,1,2,4,5,6,9,7]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,3,1,2,4,7,8,9,5]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,3,1,2,6,7,8,9,4]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,9,1,2,3,4,6,7,8]=>[6,9,3,4,5,1,7,8,2]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,8,1,2,3,4,6,9,7]=>[6,9,3,4,5,1,7,8,2]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,7,1,2,3,4,8,9,6]=>[6,9,3,4,5,1,7,8,2]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,1,2,3,7,4,5,8]=>[9,8,3,4,5,7,6,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,1,2,3,7,4,5,6]=>[9,8,3,4,5,7,6,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,1,2,3,7,8,4,5]=>[9,8,3,4,5,7,6,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,1,2,6,7,8,9,3]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,4,1,8,2,3,5,6,7]=>[9,6,3,8,5,2,7,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,1,7,6,2,3,4,5]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,1,5,6,7,2,3,4]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,1,2,3,4,5,6]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,5,1,7,2,3,4,6]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,1,6,2,3,4,5]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,5,4,1,8,7,2,3,6]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,5,1,6,7,8,2,4]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,5,4,1,6,7,8,2,3]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,3,4,1,6,7,8,9,2]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,4,5,1,2,3,6,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,4,6,1,2,3,9,5]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,6,5,1,2,3,4,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,6,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,6,5,1,2,3,9,4]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,3,6,5,1,7,2,9,4]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,4,5,1,7,2,9,3]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,3,4,7,6,1,2,9,5]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,3,7,5,6,1,2,9,4]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,4,5,6,1,2,3,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,6,1,2,3,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,7,5,6,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,4,5,6,1,2,9,3]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,3,4,5,6,1,9,2,8]=>[8,6,5,4,3,2,9,1,7]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,7,5,6,1,8,2,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,4,5,6,7,1,2,8]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,4,5,6,8,1,2,7]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,4,5,6,7,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,4,5,6,7,8,1,2]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[]=>[]=>[]=>[]=>0
[3,5,2,6,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,2,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,2,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,4,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,3,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,3,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,1,6,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,6,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,7,3,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,2,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,1,3,8,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,4,8,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,7,4,8,3,6]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,7,4,8,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,5,1,7,4,8,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,1,3,8,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,7,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,8,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,7,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,6,1,7,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,8,1,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,1,8,4,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,1,2,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,5,2,7,1,8,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,8,5,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,1,2,8,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,2,8,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,7,3,8,6,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,7,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,6,1,7,8,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,7,8,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,6,1,7,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>4
[2,1,5,6,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>4
[4,5,6,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>3
[4,6,7,3,8,5,2,1,10,9]=>[8,7,6,4,5,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[4,6,8,3,9,5,10,7,2,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,7,8,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>4
[3,4,2,1,7,8,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>3
[2,1,6,7,8,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>3
[5,6,7,8,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[5,6,8,9,4,3,10,7,2,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,6,8,9,5,10,7,4,3]=>[2,1,10,9,8,6,7,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[5,7,8,9,4,10,6,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,4,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,1,4,5,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,1,4,5,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,4,3,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,3,4,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,3,4,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,1,3,4,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,3,4,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,3,4,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,2,3,4,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,2,3,4,5,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,9,10,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>4
[3,4,2,1,6,5,9,10,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>3
[2,1,5,6,4,3,9,10,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>3
[4,5,6,3,2,1,9,10,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>2
[4,7,8,3,9,10,6,5,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,8,9,10,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>3
[3,4,2,1,8,9,10,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>2
[3,7,2,8,9,10,6,5,4,1]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,7,8,9,10,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[6,7,8,9,10,1,5,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,10,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,8,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,6,1,8,3]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,6,1,7,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,5,2,3,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,6,2,3,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,2,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,1,3,8,2,6,4,7]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,2,5,4,7]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,2,5,4,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,1,5,7,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,1,7,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,7,8,1,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,7,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,7,2,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,2,6,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,2,7,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,1,3,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,2,1,8,3,4,7,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,3,4,7,5]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,3,4,6,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[5,3,1,6,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,1,5,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,3,1,5,2,8,4,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,2,7,3,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,1,2,8,3,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,6,5,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[3,6,1,5,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,5,4,1,2,8,3,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,2,8,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,1,2,8,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,2,8,4,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,3,8,4,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,5,3,7,4,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,8,1,5,2,7,4,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,7,2,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,7,2,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,6,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,7,1,6,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,8,2,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,7,2,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,6,8,2,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,8,2,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,2,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,1,4,3,8,7,5,6]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[3,4,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[6,3,1,8,7,2,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,6,2,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,2,7,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,2,7,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,2,7,4,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,3,7,4,6]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,8,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,6,1,8,7,2,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,7,2,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,6,2,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,6,2,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,7,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,8,1,7,6,2,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,6,2,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,2,7,6,1,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,7,1,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,6,1,7,4,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,6,1,7,8,4]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,1,8,7,4]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,6,1,7,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,2,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,3,2,8,1,6,4,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,1,5,4,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,1,5,7,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,8,1,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,1,8,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,1,6,8,4]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,7,2,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,7,2,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,1,8,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,1,8,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,1,4,8,5]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,7,1,4,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,1,7,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,1,7,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,2,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,3,2,8,1,4,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,1,4,7,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,1,4,6,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,1,4,5,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[7,8,5,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,6,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,3,2,7,5,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,8,3,2,7,5,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,2,6,5,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,2,6,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,3,6,5,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,3,6,5,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,3,7,5,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,2,3,7,5,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,8,3,7,6,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,8,3,7,6,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,3,7,6,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,3,7,5,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,1,7,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,3,7,5,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,3,7,6,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,3,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,5,3,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,2,3,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,3,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[6,3,8,1,2,7,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,2,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,8,2,7,6,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,4,8,7,2,6,3]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,7,2,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,7,2,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,7,2,6,3]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,8,2,7,6,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,5,8,2,7,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,2,7,5,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[5,1,3,2,6,4,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,1,3,2,5,4,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,1,3,2,5,4,8,6]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,5,4,7,6]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,5,3,7,6]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,5,3,8,6]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,5,3,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,4,2,6,3,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,6,3,5,4,8,7]=>[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[3,1,6,2,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,6,2,5,3,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,5,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,6,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,7,1,4,3,8,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,4,3,7,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,4,3,7,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,4,3,8,5]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,1,4,3,8,5]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,4,3,8,6]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,5,3,8,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,2,5,4,8,6]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,5,4,8,6]=>[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,3,5,4,7,6]=>[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,8,2,5,4,7,6]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,5,3,7,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,4,3,7,6]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,4,3,7,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,3,8,2,6,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,7,2,6,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,7,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,8,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,5,3,7,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,6,3,7,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,6,3,7,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,6,4,7,5]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,3,6,4,8,5]=>[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,1,7,2,6,3,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,6,3,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,1,5,3,8,4]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,5,3,8,4]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,5,3,7,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,6,3,7,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,7,3,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,7,3,8,5]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,6,3,7,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,6,4,7,5]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,2,6,4,8,5]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,2,7,4,8,5]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,2,7,4,8,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,1,4,3,8,5,7,6]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[3,1,4,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,3,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,1,3,2,8,4,7,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,2,8,4,7,5]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,3,2,6,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,3,2,6,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,4,2,6,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,4,2,6,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,8,3,7,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,2,8,3,7,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,2,8,3,7,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,8,4,7,6]=>[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,3,8,4,7,5]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,6,2,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,8,3,7,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,8,3,7,4]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,8,3,7,4]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,5,2,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,5,2,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,7,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,7,3,6,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,4,8,3,6,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,7,4,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,8,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,3,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,8,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,1,8,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,8,3,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,8,3,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,3,8,4,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,4,8,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,3,2,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,3,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,7,3,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,4,2,8,3,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,8,3,4,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,8,2,4,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,2,8,3,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,1,8,3,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,8,4,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,4,6,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,8,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,8,2,6,3]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,7,8,4,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,7,8,4,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,2,8,4,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,8,5,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,4,2,5,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,1,6,4,7]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,6,3,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,6,1,3,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,5,6,3,7]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,3,6,4,7]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,1,4,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,6,3,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,6,3,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,2,8,5,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,3,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,3,7,2,8,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,8,1,5,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,7,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,7,8,4,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,8,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,7,8,5,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,4,8,3,5]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,8,1,2,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,6,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,6,7,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,3,8,4,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,8,2,4,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,8,3,1,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,4,8,5,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,6,4,7,8,5]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,7,4,2,1,5,8,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,4,2,5,8,6]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,2,1,3,5,8,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,1,3,6,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,4,2,6,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,1,8,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,1,8,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,8,1,5,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,3,8,5,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,8,2,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,7,8,4,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,6,7,8,4,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,7,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,7,1,3,8,5,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,1,5,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,3,6,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,7,4,5,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,2,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,6,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,5,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,5,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,2,1,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,4,1,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,5,1,4,7]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,5,8,7,3]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,4,8,7,3]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,2,8,7,3]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,7,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,8,4,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,7,8,5,6,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,8,7,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,1,4,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,7,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,1,3,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,4,1,5,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,7,8,5,6,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,3,7,1,5,2,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,2,1,5,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,4,8,1,6,7]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,4,3,1,2,8,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,8,2,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,7,6,2,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,3,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,1,3,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,8,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,3,2,8,7,4]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,3,8,7,4]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,3,8,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,4,8,7,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,1,8,3,6,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,8,3,6,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,6,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,7,6,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,7,6,3,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,7,6,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,7,6,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,1,6,2,4,8,7,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,4,8,7,6]=>[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,5,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,6,1,2,3,8,7,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,3,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,2,4,8,7,3]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,3,8,7,4]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,3,8,7,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,7,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,8,2,3,5,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,8,3,6,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,8,3,6,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,8,4,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,5,2,7,4,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,7,3,6,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,7,3,6,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,2,3,5,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,1,7,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,6,8,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,8,3,6,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,2,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,4,3,8,7,5,6,2]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,8,7,5,6,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,1,8,2,7,4,6,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,1,6,2,3,5,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,1,6,2,3,5,7]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,7,3,6,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,7,3,6,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,7,4,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,8,7,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,2,3,4,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,1,2,3,4,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,1,6,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,7,6,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,2,5,4,7,1,8,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,2,5,1,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,1,5,4,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,5,3,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,5,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,5,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,4,7,2,8,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,4,7,3,8,6]=>[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,5,4,7,6,8,2]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,3,7,6,8,2]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,7,5,8,2]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,7,4,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,4,7,5,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,4,7,3,8,5]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,6,4,7,2,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,7,2,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,7,2,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,7,3,8,4]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,7,3,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,7,5,8,1]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,7,1,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,7,4,8,5]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,5,1,7,6,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,7,5,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,7,5,8,3]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,2,7,6,8,3]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,7,6,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,7,6,8,4]=>[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,3,7,5,8,4]=>[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,6,2,7,5,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,7,5,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,7,4,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,7,4,8,3]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,7,2,8,4]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,5,7,3,8,4]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,6,5,7,4,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,1,6,4,7]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,6,1,3,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,1,4,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,5,3,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,4,3,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,7,3,2,8,5]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,7,3,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,5,3,2,8,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,1,4,2,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,8,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,7,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,8,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,4,7,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,4,8,2,5]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,5,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,7,5,8,2,4]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,6,5,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,5,7,8,3,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,2,7,6,8,3,1,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,6,7,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,1,8,4,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,1,5,8,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,7,2,1,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,1,3,5,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,6,7,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,2,5,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,5,8,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,8,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,8,1,6,5,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,5,3,7,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,1,4,5,3,8,7]=>[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,1,2,4,5,3,8,7]=>[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,3,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,3,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,1,6,4,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,7,4,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,8,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,6,3,8,1,7,2,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,7,6,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,8,3,6,7,5]=>[2,1,5,8,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,4,3,8,2,1,7,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,5,6,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,5,6,7,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,5,6,7,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,5,6,7,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,4,6,7,5]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,8,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,7,3,8,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,5,3,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,3,6,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,4,2,7,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,3,2,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[7,5,3,6,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,6,5,8,3,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,5,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,8,3,5,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,5,6,7,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,5,6,7,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,5,6,7,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,5,6,7,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,5,6,7,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,5,6,7,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,5,6,7,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,5,6,7,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,8,6,7,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,4,3,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,5,6,7,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,5,6,7,2]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,1,2,7,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,4,7,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,5,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,7,2,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,1,8,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,5,8,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,5,8,4,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,1,4,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,8,7,3,6,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,8,7,3,6,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,3,8,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,8,6,5,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,6,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,1,8,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,6,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,6,3,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,3,2,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,6,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,7,3,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,3,7,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,7,5,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,8,6,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,1,8,5,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,8,5,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,6,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,2,6,3,1,5,7]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,4,5,1,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,5,2,3,8,4,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,2,8,3,4,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,5,2,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,3,1,5,7]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,4,1,5,7]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,6,4,8,5,7]=>[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,1,5,2,8,3,4,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,7,3,4,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,7,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,1,3,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,3,1,5,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,4,1,8,6,7]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,5,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,4,2,1,3,8,5,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,8,3,5,6]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,7,3,5,6]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,8,7,3,5,6]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,7,3,4,6]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,1,2,7,3,4,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,8,3,4,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,3,8,4,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,3,8,5,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,1,8,3,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,6,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,7,3,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,1,8,2,7,3,4,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,5,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,5,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,7,5,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,4,3,8,7]=>[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,3,1,4,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,1,4,6,5,2,8,7]=>[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,7,4,6,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,7,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,6,3,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,6,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,8,5,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,8,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,5,8,6,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,3,7,6,5]=>[2,1,5,8,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,4,3,8,2,1,6,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,5,7,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,6,7,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,7,5,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,6,5,7,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,4,2,7,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,3,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,3,5,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,8,7,2,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,4,7,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,5,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,5,3,6,8,4]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,7,3,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,5,6,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,6,5,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,8,7,3,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,5,8,7,6,3]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,5,8,6,7,3]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,5,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,6,8,7,4]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,3,5,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,1,5,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,5,7,6,8,2]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,5,6,8,7,2]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,2,1,4,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,2,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,6,2,4,1,5,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,1,3,5,4,8,7]=>[3,6,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,7,2,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,8,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,5,8,4,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,4,8,5,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,7,4,3,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,3,7,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,5,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,2,5,4,7]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,6,3,7,5]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,7,6,3,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,8,7,6,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,5,3,2,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,5,7,6,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,7,5,3,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,6,7,5,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,6,5,7,2]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,4,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,6,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,8,7,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,3,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,3,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[7,5,2,8,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,4,5,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,8,4,6,3,7]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,5,3,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,5,6,1,7]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,6,5,2,7]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,7,2,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,7,2,6,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,4,7,6,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,4,6,7,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,2,5,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,2,5,1,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,3,5,7,6]=>[2,1,5,8,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,8,2,4,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,5,1,6,7]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,4,5,7,6]=>[3,8,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,6,5,3,7]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,6,5,7,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,2,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,8,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,4,1,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,6,1,7,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,8,3,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,3,1,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,1,3,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,2,3,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[6,5,2,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,4,3,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,4,8,7,3]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,8,6,4,7,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,3,7,4,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,3,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,2,3,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,2,3,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,2,3,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[7,1,6,8,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,4,5,7,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,4,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,7,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,8,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,6,5,7,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,6,2,7,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,6,2,7,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,8,3,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,7,3,2,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,5,8,4,7,3]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,3,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,5,2,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,8,5,7,3]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,5,6,8,7,3]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,6,5,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,5,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,8,1,5,7,3,6]=>[4,7,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,7,2,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,7,2,5,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,3,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,2,3,6,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,5,3,4,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,3,8,2,6,4,7,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,7,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,2,5,8,7,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,4,2,7,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,3,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,5,3,6,8]=>[4,6,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,7,6,4,2,8,5]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,7,5,6,8,4,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,7,2,8,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,7,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,5,8,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,8,2,4,7,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,8,5,3,1,4,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,4,7,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,5,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,7,1,4,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,8,3,7,5]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,5,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,2,7,6,8,3]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,4,7,8,3,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,2,4,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,4,2,8,5,3,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,6,5,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,2,1,5,6,3,7]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,4,7,8,2,6,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,4,5,6,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,6,3,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,5,3,7,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,7,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,4,2,5,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,8,6,2,3,5,7]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,4,5,3,7]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,7,4,8,5]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,1,3,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,1,4,8,5]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,2,4,8,6]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,4,8,2,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,2,7,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,7,1,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,8,1,3,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,1,2,4,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,8,1,3,6]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,4,8,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,8,1,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,7,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,8,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,7,8,3,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,8,6,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,7,1,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,1,3,5,6]=>[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,1,2,4,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,1,2,4,6]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,1,3,4,6]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,7,1,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,6,2,3,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,5,3,8,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,5,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,5,3,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,7,3,8,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,5,3,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,2,5,7,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,7,8,9,1,5]=>[8,2,3,9,5,6,7,1,4]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,3,5,6,7,8,9,1,4]=>[8,2,9,4,5,6,7,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,4,5,6,7,8,9,1,3]=>[8,9,3,4,5,6,7,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,3,5,6,7,8,9,10,1,4]=>[9,2,10,4,5,6,7,8,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,4,5,6,7,8,9,2,3]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[2,4,5,6,7,8,9,10,1,3]=>[9,10,3,4,5,6,7,8,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,4,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,4,6,8,1]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,4,5,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,7,3,4,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,1,8,3,4,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,2,8,4,5,7]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,3,1,2,8,4,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,3,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,7,3,4,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,7,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,1,7,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,7,2,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,7,2,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,8,2,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,8,2,4,5,6]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,2,7,3,4,5,6]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,2,8,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,1,8,3,4,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,7,3,4,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,8,2,4,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,5,8,4,6,7]=>[3,2,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,4,1,3,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,7,1,4,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,7,2,4,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,7,2,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,7,2,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,7,1,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,6,2,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,3,4,5,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,2,7,6,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,3,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,5,8,7,2,3,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,3,2,5,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,7,2,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,6,2,4,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,8,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,2,6,5,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,4,3,2,6,5,7]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,2,7,5,6]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,2,7,6,5]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,6,2,7,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,2,6,7,5]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,2,5,7,6]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,2,5,6,7]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,2,5,6,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,8,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,4,1,3,2,5,8,6]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,2,6,8,5]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,6,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,2,7,8,5]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,5,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,2,8,6,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,2,8,5,6]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,2,7,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,3,8,2,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,3,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,8,2,4,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,8,3,2,1,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,2,1,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,2,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,3,4,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,8,2,7,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,5,8,3,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,3,7,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,5,4,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,1,4,7,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,2,4,5,7]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,7,6,2,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,8,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,8,7,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,1,3,6,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,8,2,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,4,3,5,6,7]=>[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,3,4,6,7]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,6,3,4,5,7]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,7,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,8,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,8,3,5,4,7]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,8,3,6,4,7]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,8,3,6,5,7]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,6,3,5,4,7]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,3,6,4,7]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,4,3,6,5,7]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,4,3,7,5,6]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,4,3,8,5,6]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,4,3,8,5,7]=>[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,5,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,5,3,8,4,6]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,3,7,4,6]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,6,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,6,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,8,3,7,5,6]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,8,3,7,4,6]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,8,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,8,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,7,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,3,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,4,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,8,4,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,5,1,4,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,3,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,1,6,3,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,5,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,1,5,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,1,5,6,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,4,8,1,7,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,1,4,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,2,5,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,2,4,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,2,3,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,6,1,7,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,5,1,4,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,5,6,8,2]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,7,5,2,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,6,5,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,6,4,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,7,6,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,6,1,7,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,5,8,6,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,8,4,7,3]=>[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,6,3,8,4,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,1,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,2,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,1,4,7,2,8,6,3]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,8,5,7,2]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,4,3,6,5,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,1,2,6,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,2,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,2,5,4,7,6]=>[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,2,3,7,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,5,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,6,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,6,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,5,4,3,2,7,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,7,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,8,1,5,4,7,6]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,1,3,7,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,4,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,8,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,6,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,2,1,7,6,8,4,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,5,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,6,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,5,6,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,7,8,2,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,6,7,8,3,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,3,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,2,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,1,7,8,5]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,4,3,8,7,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,4,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,6,3,2,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,8,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,4,8,2,6,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,8,7,3,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,8,7,2,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,7,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,7,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,1,6,5,2]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,7,8,6,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>6
[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>5
[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>5
[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>4
[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>5
[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>4
[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>4
[2,1,4,3,12,11,8,7,10,9,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>5
[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>4
[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>4
[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>3
[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>4
[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>3
[2,1,10,9,6,5,8,7,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,12,11,6,5,8,7,10,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[2,1,12,11,6,5,10,9,8,7,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,12,11,8,7,6,5,10,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[2,1,12,11,10,7,6,9,8,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>5
[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>4
[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>4
[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>3
[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>4
[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>3
[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>3
[4,3,2,1,12,11,8,7,10,9,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>2
[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>2
[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>4
[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>3
[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>3
[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>2
[8,7,4,3,6,5,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[8,7,4,3,6,5,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>2
[10,9,4,3,6,5,8,7,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[12,11,4,3,6,5,8,7,10,9,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,4,3,6,5,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,4,3,8,7,6,5,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[12,11,4,3,8,7,6,5,10,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,4,3,10,7,6,9,8,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,4,3,10,9,8,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>2
[10,9,6,5,4,3,8,7,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[12,11,6,5,4,3,8,7,10,9,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,5,4,7,6,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[12,11,8,5,4,7,6,3,10,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,5,4,7,6,9,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,5,4,9,8,7,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[12,11,8,7,6,5,4,3,10,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,7,6,5,4,9,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,4,6,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,7,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,7,5,6,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,7,5,6,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,7,5,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,2,7,5,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,2,6,8,4,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,2,1,6,8,4,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,6,7,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,2,6,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,2,7,6,8,4]=>[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,2,1,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,1,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,6,7,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,6,8,4,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,7,5,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,5,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,7,5,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,6,8,4,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,6,7,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,5,1,2,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,5,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,5,8,3,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,1,7,6,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,8,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,5,8,2,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,1,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,1,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,2,5,8,3,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,2,1,5,8,3,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,7,5,8,3]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,7,4,8,3]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,8,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,7,4,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,5,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,1,3,7,6,8,4]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,7,5,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,7,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,5,7,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,7,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,2,7,6,8,4]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,1,3,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,1,3,7,6,8,5]=>[3,4,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,8,3,5,7,6,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,5,8,2,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,8,9,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,9,4,5,6,1,2,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,5,6,9,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,4,5,9,1,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,7,4,5,8,1,2,3,9]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,3,4,9,1,2,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,7,3,4,8,1,2,5,9]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,10,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,10,4,5,6,1,2,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,6,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,4,5,8,1,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,10,4,5,7,1,2,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,3,4,8,1,2,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,10,3,4,7,1,2,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,9,5,6,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,9,4,5,10,1,2,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,5,10,1,2,3,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,9,3,4,10,1,2,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,3,4,10,1,2,5,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,10,5,7,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,10,4,7,8,1,2,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,5,10,4,6,7,1,2,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,10,3,7,8,1,2,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,5,10,3,6,7,1,2,4,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,5,7,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,7,10,1,2,3,5]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,4,6,10,1,2,3,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,3,7,10,1,2,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,3,6,10,1,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,10,2,7,8,1,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,5,10,2,6,7,1,3,4,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,2,7,10,1,3,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,2,6,10,1,3,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,1,2,4,3,6,5,7]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,6,2,7,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,4,2,6,7,5]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,4,5,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,4,5,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,3,1,4,2,6,8,5]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,4,5,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,4,5,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,3,8,5,6]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,3,7,5,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,4,8,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,7,3,4,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,3,8,5,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,3,1,5,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,8,2,3,1,5,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,6,7,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,8,6,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,6,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,8,6,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,2,7,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,4,8,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,7,1,8,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,1,3,5,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,3,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,4,8,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,7,3,5,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,2,3,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,5,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,5,4,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,4,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,7,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,3,2,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,5,7,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,6,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,1,7,2,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,7,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,1,7,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,4,5,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,5,7,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,7,1,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,4,5,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,7,1,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,1,5,2,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,1,7,3,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,2,5,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,4,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,5,4,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,6,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,3,2,5,1,7,4,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,3,7,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,6,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,7,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,3,2,7,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,6,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,4,7,2,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,6,2,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,4,7,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,4,7,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,3,2,7,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,6,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,6,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,3,2,7,6,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,8,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,8,7,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,8,7,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,1,7,8,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,7,8,5,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,7,8,4,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,8,4,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,8,5,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,8,6,4,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[6,1,2,5,8,3,4,7]=>[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,4,8,2,5,6]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,7,8,3,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,1,8,6,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,1,6,8,7,4]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,5,8,7,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,8,5,7,3]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,8,4,7,3]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,8,6,2,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,4,8,7,3,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,3,8,7,4,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,8,5,2,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,8,4,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,4,8,2,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,8,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,6,1,4,7,8,3,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,5,8,2,4,6]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,4,8,3,5,7]=>[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,1,6,4,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,4,5,2,3,1,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,4,1,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,4,1,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,6,3,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,4,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,6,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,7,3,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,5,2,8,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,5,2,8,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,4,5,2,8,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,4,5,3,8,6]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,8,6,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,7,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,4,6,3,8,5]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,7,4,6,2,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,6,2,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,6,2,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,7,3,8,4]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,7,3,8,5]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,7,4,8,5]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,1,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,2,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[6,2,3,1,8,5,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,1,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,2,8,6,7,3]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,8,6,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,3,8,5,7,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,6,2,8,5,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,8,5,7,3]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,8,4,7,3]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,6,2,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,6,2,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,6,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,4,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,7,4,8,5,6,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,8,5,6,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,7,3,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,6,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,4,7,2,5,6]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,1,4,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,2,5,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,8,2,5,7,3,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,2,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,4,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,6,3,4,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,2,3,6,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,3,2,7,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,6,4,8,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,5,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,4,7,6,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,4,7,3,8,5]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,2,1,4,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,7,5,1,3,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,2,4,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,4,5,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[1,4,7,2,5,3,8,6]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,7,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,4,2,5,7]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,6,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,7,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,7,6,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,6,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,4,5,3,7]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,1,8,5,3,4,6]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,6,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,4,6,7,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,5,6,1,7]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,5,2,6,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,7,8,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,8,5,2,6,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,8,3,6,2,5,7]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,8,2,5,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,4,8,2,6,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,4,5,1,7,8,6,3]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,4,5,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,8,3,7,5]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,4,8,3,5,6]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,7,4,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,5,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,2,4,8,3,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,2,8,3,4,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,4,2,8,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,3,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,6,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,4,2,5,3,6,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,1,4,2,5,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,5,6,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,1,6,4,5,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,2,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,6,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,1,5,3,6,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,3,5,4,1,6,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,1,2,3,4,7,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,2,3,8,6,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,8,2,3,6,7,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,3,7,4,5]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,1,5,7,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,2,4,7,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,5,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,1,7,8,3,6,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,7,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,7,6,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,7,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,1,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,6,1,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,6,3,7,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,7,5,8,6,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,8,6,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,8,6,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,7,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,6,4,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,7,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,2,7,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,2,3,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,7,6,3,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,2,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,2,8,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,5,1,4,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,1,7,3,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,1,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,5,7,1,6,3,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,2,7,8,1,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,7,5,6,2,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,6,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,5,8,6,7,2]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,1,8,7,3]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,1,2,7,3,8,6,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,5,2,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,3,7,5,2,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,2,6,8,5,4,7]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,7,1,2,5,4,8,6]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,8,6,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,5,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,5,8,6,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,1,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,3,7,4,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,3,4,7,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,8,3,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,5,8,1,4]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,7,8,3,4,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,7,3,5,6]=>[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,6,2,5,7]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,7,2,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,2,4,7,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,2,6,4,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,6,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,4,1,2,6,3,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,2,7,3,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,5,3,7,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,5,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,2,6,3,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,3,7,2,8,4,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,2,7,8,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,3,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,4,6,2,5,7]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,6,7,1,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,2,7,1,4]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,8,1,7,3]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,3,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,6,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,7,6,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,1,6,3,5]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,1,5,3,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,1,5,3,7]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,2,5,3,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,7,2,6,3,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,7,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,3,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,8,7,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,2,7,6,4,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,3,2,6,5,4,7]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,6,5,4,7]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,7,5,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,7,6,5,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,7,6,5,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,7,6,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,7,5,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,6,5,4,7]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,1,5,3,7]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,7,6,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,7,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,7,5,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,2,4,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,2,4,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,7,5,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,2,6,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,2,6,3,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,2,5,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,2,5,3,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,6,5,4,7]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,7,5,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,1,3,8,7,6,5,2]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,7,6,5,2]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,7,6,4,5]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,8,1,3,7,5,4,6]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,6,5,4,7]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,6,5,4,7]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,3,7,5,4,6]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,6,8,2,5,7]=>[1,6,3,7,8,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,6,2,5,8,4,7]=>[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,2,4,7,6]=>[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,6,5,8,3,7]=>[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,6,5,8,2,4,7]=>[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,2,5,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,6,4,8,3,7]=>[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,6,3,8,7,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,2,8,3,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,5,2,8,3,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,5,2,8,4,6]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,8,3,4,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,2,8,7,3,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,8,3,7,6,5]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,8,6,3,7,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,2,8,7,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,1,8,7,3,4,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,1,8,3,4,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,6,2,8,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,4,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,2,6,3,8,4]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,7,5,3,8,4]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,6,3,8,7,4]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,7,6,3,8,4]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,2,7,3,8,4]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,4,2,8,3,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,8,6,3,7,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,2,4,7,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,8,2,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,2,4,7,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,2,4,6,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,2,4,6,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,8,7,3,6,5]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,5,4,2,7,3,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,2,7,3,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,3,1,7,2,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,1,7,3,4,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,4,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,2,6,3,7,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,7,3,8,6,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,7,3,8,5,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,8,5,3,6,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,2,8,6,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,8,3,2,6,4,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,6,3,4,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,2,6,4,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,7,3,6,5,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,3,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,6,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,5,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,4,5,3,7,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,3,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,3,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,3,5,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,3,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,3,8,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,3,6,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,3,6,7,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,5,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,5,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,3,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,2,3,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,2,4,3,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,2,6,3,7]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,1,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,3,5,6,2,1,4,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,6,8,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,8,5,7,3]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,3,8,5,7,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,8,3,4,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,4,3,5,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,1,2,8,4,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,2,3,7,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,3,2,7,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,1,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,8,6,1,7,3,4,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,4,3,5,7]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>1
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>1
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>1
[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>1
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>1
[1,8,2,3,4,5,6,9,7]=>[1,9,3,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>1
[8,4,3,6,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,5,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,5,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,6,2,5,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,7,3,6,2,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,7,5,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,6,5,2,4,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,6,5,2,3,7,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,6,3,5,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,6,4,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,4,7,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,2,7,4,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,2,7,5,6]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,8,7,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,6,5,3,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,2,5,6,3,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,7,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,3,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,1,5,6,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,4,3,1,2,6,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,3,1,2,5,7,6]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,2,3,7,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,1,4,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,1,3,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,2,1,5,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,2,7,1,4,6,5,8]=>[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,3,2,6,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,1,2,4,5,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,1,2,5,3,7,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,3,6,5,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,3,5,6,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,4,3,7,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,2,4,7,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,3,5,7,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,2,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1
[5,1,2,4,3,6,7,8]=>[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[6,1,2,3,5,4,7,8]=>[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,1,2,3,4,6,5,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,2,3,4,5,7,6]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,5,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,7,8,4,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,1,8,7,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,1,6,3,7]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,2,3,7,5]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,8,2,3,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,6,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,6,8,5,7,3]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,3,2,5,4,6,7]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,5,6,4,7]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,5,7,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,7,8,5,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,7,6,8,5,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,8,5,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,8,4,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,4,8,5,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,4,8,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,2,3,6,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,7,4,5,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,5,8,6,2]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,5,7,8,6,2]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,4,7,6,5]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,8,2,3,4,5,7,6]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,1,6,5,8,7,3]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,4,8,7,3]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,8,1,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,8,1,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,3,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,2,8,7,3]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,3,2,8,7,4]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,2,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,8,1,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,8,2,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,8,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,4,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,8,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,8,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,8,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,8,3,6,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,1,3,5,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,4,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,8,4,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,7,8,5,6,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,7,8,6,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,1,5,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,8,6,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,8,6,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,8,6,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,8,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,8,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,8,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,4,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,7,2,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,8,7,3,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,6,3,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,8,6,5,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,6,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,6,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,7,8,5,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,8,3,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,1,5,6,2]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,2,5,7,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,8,3,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,2,8,3,4,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,4,2,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,3,4,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,6,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,7,2,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,5,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,3,5,6,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,7,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,7,2,6,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,7,3,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,8,4,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,8,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,8,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,8,5,3,4,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,1,8,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,3,4,6,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,3,5,4,6]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,1,8,4,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,7,3,5,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,7,5,6,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,8,4,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,7,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,7,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,7,2,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,7,2,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,4,5,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,2,7,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,4,6,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,3,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,6,8,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,6,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,5,7,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,5,6,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,1,7,3,6,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,4,6,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,4,7,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,7,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,6,7,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,6,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,1,8,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,5,7,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,5,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,5,7,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,4,7,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,1,8,4,7,3,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,2,8,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,2,7,3,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,1,7,3,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,6,2,8,4,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,3,6,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>0
[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>0
[1,4,3,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[6,7,4,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,4,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,3,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,7,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,2,7,1,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,3,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,2,5,1,7]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,3,6,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,5,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,4,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,4,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,2,5,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,5,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,8,1,7,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,3,7,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,3,8,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,7,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,7,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,8,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,3,2,8,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,7,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,7,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,8,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,8,1,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,7,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,3,2,6,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,8,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,6,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,5,6,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,4,6,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,4,7,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,3,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,4,5,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,4,8,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,3,5,6,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,4,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,5,1,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,4,3,7,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,4,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,5,2,4,7]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,2,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,1,2,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,8,1,6,3,2,4,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,5,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,2,4,7,6]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,1,5,7,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,3,1,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,8,5,7,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,3,8,6,4,5]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,1,8,4,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,3,2,7,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,4,2,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,1,3,8,7,5,6]=>[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,5,8,3,1,7,4,6]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,7,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,6,4,7,5]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,4,1,5,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,2,4,6,7]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,9,3,2,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,9,2,1]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[9,10,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,7,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,5,6,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,10,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,4,5,9,3,2,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,10,4,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,4,9,2,1]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,10,3,2,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,2,3,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,3,10,2,1]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,1,2,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[9,8,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[1,6,2,4,8,5,3,7]=>[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,5,2,4,6]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,5,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,8,5,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,7,3,4,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,3,4,7,5]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,5,1,7,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,5,7,1,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,4,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,4,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,3,7,8,4,5]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,4,3,5,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,1,6,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,4,6,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,5,4,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,1,3,5,6]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,3,2,5,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,4,3,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,8,2,4,7,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,8,1,2,7,4,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,2,6,4,7]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,2,6,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,8,2,4,6,3,7]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,4,2,7,3,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,1,6,7,2,4,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,6,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,5,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,4,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,1,4,2,7,5,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,3,2,4,5,6,7]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,3,2,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,7,8,1,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,6,7,1,8,4]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,1,7,8,5]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,4,5,8,6]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,3,2,5,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,5,2,4,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,8,2,4,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,2,8,7,3,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,6,5,3,7]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,4,6,3,7]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,1,3,4,7]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,2,5,4,7]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,4,5,3,7]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,6,4,3,7]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,5,4,3,7]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,4,2,8,3,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,4,8,2,7,3,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,8,2,7,3,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,6,2,8,3,5]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,4,7,2,8,3,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,5,2,8,3,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,1,2,8,4,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,1,3,4,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,1,3,4,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,2,7,3,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,2,8,7,3,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,6,4,8,7,5]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,1,7,6,3,4,8,5]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,2,7,4,6,8,5]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,4,7,2,6,8,3,5]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,4,2,7,8,3,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,7,6,8,3,5]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,1,2,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,3,7,1,8,2,4,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,3,2,5,8,6]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,7,2,1,3,5,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,4,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,8,2,6,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,7,8,3,6,5]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,8,1,3,4,7,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,3,4,7,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,4,2,6,8,3,7,5]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,7,3,8,6,5]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,2,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,3,4,6,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,7,8,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,2,5,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,3,5,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,3,7,2,1,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,3,2,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,1,8,5,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,1,8,5,6]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,1,7,5,6]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,1,7,6,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,1,8,6,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,8,1,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,1,6,8,5]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,1,6,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,1,5,7,6]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,1,5,8,6]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,4,2,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,8,5,1,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,8,4,6,1,7]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,5,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,4,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,1,5,3,8,2,6,7]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,2,7,5,1,6,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,7,1,3,2,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,7,3,2,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,3,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,1,4,3,7,8,6]=>[3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,2,1,4,3,7,8,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,3,1,7,5,2,6,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,3,6,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,6,1,7,2,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,4,1,2,7,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,4,1,3,7,8,5]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,2,7,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,7,2,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,1,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,1,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,7,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,2,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,2,4,8,5,1,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,6,8,2,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,5,7,4,8]=>[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,1,5,7,4,8]=>[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,1,5,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,2,1,7,5,3,6,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,5,6,2,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,1,5,2,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,1,3,7,8,4]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,5,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,5,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,1,4,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,1,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,4,1,5,3,8,7,6]=>[3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,5,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,5,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,5,3,2,7,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,5,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,7,1,8,4]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,6,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,6,8,2,7,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,6,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,6,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,6,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,6,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,1,8,7,2,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,8,7,3,5]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,5,1,6,7,8,4,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,6,7,4,8,3]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,1,8,7,5,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,1,7,5,2]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,6,7,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,6,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,7,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,6,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,6,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,6,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,6,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,3,7,1,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,7,1,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,1,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,5,7,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,5,8,3,2,4,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,7,1,5,6]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,6,8,2,4]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,8,2,4,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,6,1,5,7]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,4,6,1,5,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,5,1,7,4,6,8]=>[4,2,6,1,7,3,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,5,1,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,7,8,4,6]=>[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,1,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,1,7,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,1,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,5,1,6,8,7,4]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,1,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,4,1,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,3,2,4,7,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,6,7,4,8]=>[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,1,7,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,1,8,4,2,3,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,7,5,1,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,8,3,7,4]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,8,4,7,3]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,3,8,5,1,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,4,2,3,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,5,1,8,6,4,7]=>[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,5,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,8,5,7,3]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,7,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,7,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,8,6,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,1,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,2,5,1,7,8,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,7,5,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,7,4,1,6,8,3]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,3,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,1,7,3,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,5,8,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,8,1,7,3]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,8,5,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,5,8,6,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,5,3,8,6]=>[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,8,5,3,7]=>[4,7,6,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,1,6,3,7]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,1,6,4,7]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,6,8,5,4,7]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,7,1,5,4,8,6]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,7,1,5,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,7,2,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,8,1,6,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,1,6,4,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,2,7,1,5,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,2,7,1,5,8,4]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,8,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,7,8,5,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,7,8,4,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,3,8,6,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,2,1,8,5,3,7,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,1,4,8,5]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,4,7,8,5]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,1,7,8,4,6]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,8,3,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,3,8,6,5]=>[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,4,8,6,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,1,7,4,6]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,1,7,4,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,1,4,7,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,8,4,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[9,8,7,5,6,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,7,5,4,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,4,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,9,8,6,5,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,9,8,5,7,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,6,7,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>1
[6,2,3,1,5,4,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,4,5,2,3,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,3,4,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,1,5,2,4,3,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,1,5,3,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,5,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,5,2,4,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,4,1,6,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,4,2,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,4,2,7,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,3,2,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,5,3,7,6]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,6,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,1,7,3,4,2,6,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,6,2,5,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,6,2,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,6,3,5,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,4,3,6,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,7,4,6,5]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,7,4,6,5]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,1,5,2,4,3,7,6]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,4,3,6,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,4,1,6,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,3,1,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,7,4,6,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,5,4,7,6]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,1,3,2,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,6,7,2,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,7,5,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,3,7,5,6,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,1,3,2,7,5,6,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,6,4,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,6,4,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,7,3,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,5,7,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,3,2,7,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,8,4,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,2,8,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,4,5,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,4,5,7,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,4,5,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,4,5,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,4,5,7,1]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,8,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,8,2,4,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,4,6,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,4,6,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[7,2,5,8,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,5,4,1,6,7]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,2,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,7,6,8,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,5,4,3,2,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,8,5,1,3,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,4,3,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,6,5,1,7]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,5,6,3,7]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,5,6,2,7]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,1,3,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,5,3,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,5,3,2,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,1,8,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,4,6,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,2,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[7,3,2,8,5,4,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,5,1,6,7]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,5,1,6,7]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,5,4,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,1,3,2,4,8,6,7]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,8,1,5,3,4,7,6]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,8,5,3,6,7]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,2,5,3,6,7]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,5,3,2,4,6,7]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,2,4,6,7]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,4,3,6,7]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,7,4,8,3,6]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,4,7,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,4,7,3,6]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,4,3,7,6,5]=>[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,7,4,3,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,8,7,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,2,8,3,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,8,4,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,2,8,4,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,1,4,2,8,3,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,5,2,4,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,5,3,4,6]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,8,4,5,3,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,2,8,4,3,7,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,8,3,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,2,4,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,2,4,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,7,2,4,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,3,5,4,6]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,2,4,7,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,7,3,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,4,3,6,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,4,3,6,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,5,3,4,6]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,5,2,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,4,7,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,2,7,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,7,4,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,6,4,3,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,8,6,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,7,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,6,4,3,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,4,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,4,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,2,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,2,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,3,5,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,2,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,2,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,2,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,3,7,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,3,8,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,4,7,1,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,3,6,2,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,8,3,6,2,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,2,3,1,4,5,6,7,8]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,3,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,7,3,5,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,7,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,3,6,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,3,6,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,8,3,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,5,6,7,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,1,2,7,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,5,6,7,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,2,4,7,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,5,1,3,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,1,6,3,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,1,4,7,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,5,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,3,6,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,5,6,7,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,5,6,7,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,5,6,7,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,6,2,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,6,1,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,5,6,7,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,10,1,3,5,7,9]=>[6,7,8,9,10,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,7,8,9,10,1,2,3,4,6]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,4,6,8,10,12,1,3,5,7,9,11]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[2,4,6,10,11,12,1,3,5,7,8,9]=>[7,8,9,12,11,10,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[4,5,6,8,10,12,1,2,3,7,9,11]=>[9,8,7,10,11,12,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,11,12,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[4,5,7,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,3,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,3,7,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,3,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,7,6,8,5,2]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,6,8,5,2]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,6,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,5,8,4,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,7,6,5,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,7,6,5,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,7,6,5,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,8,5,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,7,6,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,7,6,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,7,6,8,5,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,7,8,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,2,7,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,2,8,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,1,8,6,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,7,1,2,6,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,8,7,6,1,5,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,6,1,5,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,2,7,6,5,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,1,2,7,6,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,7,6,5,4]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,7,6,5,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,1,8,7,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,2,6,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,7,6,5,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,7,6,5,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,3,7,6,5,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,2,3,7,6,5,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,8,2,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,8,3,6,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,8,3,7,4]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,1,8,2,7,4]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,8,2,7,4]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,1,8,3,7,4]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,3,8,7,5]=>[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,1,2,8,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,2,8,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,8,2,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,7,2,6,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,7,3,6,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,5,8,3,6,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,8,3,7,4]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,3,8,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,4,8,7,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,2,4,1,3,8,7,5]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,4,3,8,6,5]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,3,7,6,5]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,4,2,7,6,5]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,2,8,6,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,1,2,8,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,2,8,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,2,8,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,3,8,7,5]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,4,3,8,6,5]=>[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,4,2,8,6,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,2,8,6,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,2,3,5,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,3,8,6,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,2,4,8,6,5]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,4,8,7,5]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,1,4,8,7,5]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,8,3,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,8,3,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,7,3,6,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,3,7,6,5]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,3,8,6,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,3,8,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,5,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,3,2,1,4,8,7,5]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,4,8,6,5]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,4,7,6,5]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,4,8,7,5]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,3,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,5,8,7,1]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,6,3,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,1,6,5,3,8,7]=>[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,6,1,5,3,8,7]=>[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,2,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,2,6,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,2,6,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,5,8,3,7]=>[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,5,8,3,7]=>[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,6,5,8,3,7]=>[2,1,7,5,4,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,6,5,8,7,3]=>[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,5,8,7,3]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,1,5,7,3]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,8,5,7,3]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,8,5,7,3]=>[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,6,8,5,7,3]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,6,8,5,3,7]=>[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,6,8,5,3,7]=>[3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,8,5,3,7]=>[4,7,6,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,1,5,3,7]=>[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,3,5,7,1]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,3,5,1,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,3,1,5,7]=>[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,8,5,7,1]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,1,3,6,8,7,5]=>[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,3,6,1,8,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,8,1,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,3,8,7,5]=>[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,6,3,8,7,5]=>[2,1,5,8,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,6,8,3,7,5]=>[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,6,8,3,7,5]=>[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,8,3,7,5]=>[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,1,3,7,5]=>[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,5,7,1,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,7,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,8,7,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,8,7,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,4,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,4,8,7,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,4,8,7,3,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,8,7,3,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,4,5,8,2,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,4,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,3,4,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,3,7,2,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,8,2,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,4,5,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,1,4,7,3,8,2,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,7,5,8,2,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,7,1,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,7,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,7,3,4,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,8,3,4,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,8,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,8,3,6,7]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,5,8,3,7]=>[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,3,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,4,8,3,5,7]=>[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,1,3,7,2,4,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,5,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,3,5,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,6,4,8,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,8,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,8,3,6,1,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,7,1,5,6]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,7,1,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,7,2,3,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,5,4,8,6]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,5,4,7,6]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,5,4,6,7]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,6,4,5,7]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,1,6,3,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,5,6,4,7]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,4,6,5,7]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,4,6,8,5]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,4,6,7,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,4,7,6,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,4,7,5,6]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,5,7,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,1,8,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,5,8,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,7,5,8,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,7,1,6,8,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,1,8,3,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,8,1,2,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,1,7,3,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,8,2,1,7,4,5,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,7,4,6,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,6,4,8,5]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,1,3,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,1,3,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,1,3,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,1,3,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,1,3,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,1,3,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,8,4,5,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,8,5,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,6,1,8,7,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,1,7,3,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,1,8,3,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,7,8,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,2,7,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,8,5,4,2,6,7]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,5,4,8,7,3]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,2,5,8,3,6,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,5,7,3,6,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,1,5,4,8,7,3]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,8,7,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,4,6,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,4,2,6,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,8,2,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,4,1,6,7]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,2,3,7,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,1,6,4,3,2,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,8,6,4,3,2,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,6,1,5,8,2,7]=>[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,5,3,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,7,3,8,4]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,1,7,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,7,6,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,7,8,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,7,5,6,3,8,4]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,6,7,5,8,2,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,4,5,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,4,6,7,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,5,7,3,8,4]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,5,7,2,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,3,7,8,2,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,8,5,7,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,6,3,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,4,8,7,2,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,6,7,3,8,2,5]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,1,3,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,5,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,7,5,2,3,8,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,5,4,1,8,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,5,4,1,7,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,6,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,7,8,2,5]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,8,4,3,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,4,3,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,4,3,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,8,1,4,3,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,4,3,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,4,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,7,5,1,3,8,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,8,5,1,4,3,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,2,5,6,7,8,9,3]=>[1,9,3,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[7,8,9,1,2,3,4,5,6]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,1,2,3,4,5,6]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,7,8,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,6,7,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,5,6,7,8,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,7,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,5,6,7,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,5,6,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,5,6,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,6,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,4,5,6,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,4,5,6,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,4,5,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,6,7,4,5,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,5,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,9,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,8,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,1,2,3,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,7,8,9,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,7,8,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,7,8,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,9,6,7,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,7,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,6,7,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,5,6,7,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,6,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,8,5,6,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,5,6,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,9,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,8,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,9,6,7,4,5,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,7,4,5,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,4,5,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,4,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,8,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,4,6,2,7,1,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,6,2,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,5,4,7,8,3]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,2,8,5,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,1,5,8,3,7,4]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,3,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,7,2,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,7,5,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,4,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,3,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,6,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,6,7,3,8]=>[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,8,5,3,6]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,6,3,8,7]=>[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,3,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,1,6,4,7,8]=>[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,8,4,3,2,1,5,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,1,6,4,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,5,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,2,1,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,2,1,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,1,6,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,7,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,7,8,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,6,7,2,8,1,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,8,1,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,1,8,4,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,3,7,8,6]=>[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,5,8,4,1,3,7,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,8,3,6,5]=>[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,6,1,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,1,4,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,2,1,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,1,4,7,6]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,6,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,8,9,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[8,9,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,6,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[6,8,7,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,8,7,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,7,9,8,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,9,10,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,1,6,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,7,1,6,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,6,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,1,4,8,7]=>[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,6,4,1,5,8,7]=>[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,3,6,1,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,7,6,1,4,8,5,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,4,8,3,5]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,8,4,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,5,8,4,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,6,3,8,5,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,6,3,8,4,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,7,3,6,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,8,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,5,7,1,6]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,5,8,7,3,6]=>[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,4,3,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,7,5,6,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,8,7,2,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,8,7,3,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,8,3,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,6,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,8,2,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,5,8,6,3,7]=>[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,3,5,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,5,6,1,7]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,7,1,6,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,1,7,6,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,1,6,7,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,5,1,7,6]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,5,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,5,8,3,7,6]=>[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>2
[7,4,3,5,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,5,1,6,7]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,1,6,5,7]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,8,1,5,7,6]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,1,7,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,5,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,7,4,6,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,1,7,4,6,3,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,1,6,3,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,2,6,3,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,1,7,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,7,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,7,4,6,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,7,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,2,6,4,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,7,2,6,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,5,6,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,4,6,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,3,6,4,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,5,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,8,3,5,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,4,2,5,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,1,5,3,6]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,5,1,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,3,8,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,8,5,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,5,6,8,1]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,7,8,1,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,4,7,8,2,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,4,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,4,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,6,1,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,8,3,6,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,1,3,6,7,2,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,4,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,1,3,7,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,5,1,7,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,6,2,7,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,4,2,6,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,1,4,2,6,3,7]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,8,7,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,3,1,6,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,2,6,4,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,7,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,2,6,3,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,1,2,8,7,4]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,8,6,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,3,6,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,5,4,8,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,4,3,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,4,3,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,4,3,8,6]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,7,3,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,4,3,8,5]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,4,3,6,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,1,3,6,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,1,3,7,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,1,8,2,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,9,2,3,4,5,6,7,8]=>[1,9,3,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,8,9,2,3,4,5,6,7]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,2,3,4,5,6,7,8,9]=>[1,10,3,4,5,6,7,8,9,2]=>[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,9,10,2,3,4,5,6,7,8]=>[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[3,6,4,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,4,7,8,5,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,2,4,8,1,5,7]=>[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,2,5,8,6,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,8,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,4,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,2,7,3,6,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,7,5,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,4,8,2,5,7]=>[1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,1,3,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,8,5,3,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,6,4,1,3,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,2,5,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,2,5,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,8,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,2,7,5,8,4]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,8,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,4,1,7,5,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,7,2,8,5]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,3,4,8,7,1,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,4,5,2,8,6]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,4,2,7,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,6,3,8,2,7,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,7,8,1,5]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,5,3,8,2,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,6,7,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,3,1,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,8,5,7,3]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,5,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,2,4,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,5,7,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,8,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,6,2,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,1,4,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,6,3,7,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,6,3,7,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,5,7,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,8,6,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,6,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,5,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,8,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,7,8,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,7,6,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,5,7,6,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,1,7,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,2,5,6,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,5,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,5,4,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,4,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,1,6,5,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,6,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,5,4,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,6,1,4,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,6,5,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,5,6,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,5,6,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,4,5,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,6,5,7,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,7,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,3,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,5,7,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,5,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,5,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,6,5,7,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,7,2,5,8,3,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,2,4,7,1,5,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,3,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,1,5,3,7]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,4,1,5,7]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,8,3,2,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,5,6,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,5,7,3,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,2,5,8,7,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,1,3,6,8,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,8,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,7,2,5,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,7,5,1,8,3,6]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,8,1,3,2,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,3,4,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,5,1,7,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,2,8,3,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,4,8,2,5,6]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,7,4,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,7,3,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,6,5,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,2,8,4,5,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>3
[2,8,1,4,5,6,3,7]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,8,5,3,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,4,5,3,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,5,3,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,1,5,8,7,2]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,3,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,4,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,7,4,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,1,7,4,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,5,6,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,3,6,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,4,6,8,2,5]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,5,6,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,5,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,5,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,6,8,3,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,4,1,7,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,7,2,6,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,8,3,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,8,5,2,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,8,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,4,5,3,6]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,4,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,5,8,3,4,7]=>[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,1,3,7,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,7,3,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,8,5,3,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,5,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,8,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,6,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,6,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,7,3,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,7,4,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,5,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,8,7,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,8,5,7,6,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,3,5,8,7]=>[5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,1,4,3,5,8,7]=>[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,1,4,3,8,5,7]=>[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,3,6,5,7]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,3,6,5,7]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,3,8,5,7]=>[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,3,5,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,2,6,1,3,5,8,7]=>[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,6,4,3,5,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>3
[2,6,1,4,3,5,8,7]=>[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,4,1,3,5,8,7]=>[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,2,1,3,5,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,2,1,3,5,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,4,2,1,3,6,5,7]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,6,3,5,7]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,8,3,5,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,8,3,5,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,3,8,5,7]=>[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,4,3,8,5,7]=>[2,1,7,5,4,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,4,3,6,5,7]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,8,1,4,3,6,5,7]=>[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,3,6,5,7]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,3,6,5,7]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,6,3,5,7]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,4,3,5,7]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,1,4,3,5,7]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,4,6,3,5,7]=>[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,6,3,5,7]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,4,8,3,5,7]=>[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,4,8,3,5,7]=>[3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,8,3,5,7]=>[4,7,6,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,1,3,5,7]=>[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,1,3,5,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,3,8,5,7]=>[5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,8,3,5,7]=>[6,4,7,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,8,3,5,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,6,3,5,7]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,6,3,5,7]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,4,8,3,5,7]=>[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,8,3,5,7]=>[6,3,2,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,3,8,5,7]=>[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,1,4,3,8,6,5,7]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>3
[2,4,1,3,8,6,5,7]=>[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,1,3,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,1,8,3,6,5,7]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,6,3,5,7]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,4,3,5,7]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,4,3,5,7]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,4,3,5,7]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,4,3,5,7]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,6,3,5,7]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,3,6,5,7]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,3,6,5,7]=>[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,3,6,5,7]=>[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,3,6,5,7]=>[2,1,5,8,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,8,6,3,5,7]=>[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,8,1,6,3,5,7]=>[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,1,3,5,7]=>[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,1,3,5,7]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,1,3,5,7]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,1,3,5,7]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,1,3,5,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,1,3,5,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,1,3,5,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,1,3,5,7]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,4,3,5,7]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,4,3,5,7]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,4,3,5,7]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,6,4,3,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,8,1,6,4,3,5,7]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,1,3,5,7]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,1,3,5,7]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,1,3,5,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,4,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,6,1,5,2,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,5,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,6,5,8,1]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,7,2,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,5,2,7,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,4,2,7,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,3,2,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,4,8,3,7,6]=>[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>2
[5,1,7,6,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,8,1,5,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,8,5,6,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,8,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,6,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,4,6,1,3,2,7,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,4,2,7,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,7,2,5,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,7,2,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,6,1,7,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,5,1,7,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,5,3,6,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,5,3,7,6]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,7,3,6,5]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,6,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,6,1,7,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,5,4,7,6]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,2,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,1,8,5,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,8,5,6,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,1,3,2,8,5,6,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,6,4,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,5,4,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,6,1,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,5,8,3,7,4]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,5,7,4,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,4,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,8,3,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,8,7,11,12,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>5
[2,1,4,3,6,5,9,10,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>5
[2,1,4,3,6,5,10,11,12,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>4
[2,1,4,3,7,8,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>5
[2,1,4,3,7,8,6,5,11,12,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>4
[2,1,4,3,8,9,10,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>4
[2,1,4,3,9,10,11,12,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,5,6,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>5
[2,1,5,6,4,3,8,7,11,12,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>4
[2,1,5,6,4,3,9,10,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>4
[2,1,5,6,4,3,10,11,12,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>3
[2,1,6,7,8,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>4
[2,1,6,7,8,5,4,3,11,12,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>3
[2,1,7,8,9,10,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,8,9,10,11,12,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[3,4,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>5
[3,4,2,1,6,5,8,7,11,12,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>4
[3,4,2,1,6,5,9,10,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>4
[3,4,2,1,6,5,10,11,12,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>3
[3,4,2,1,7,8,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>4
[3,4,2,1,7,8,6,5,11,12,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>3
[3,4,2,1,8,9,10,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>3
[3,4,2,1,9,10,11,12,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>2
[4,5,6,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>4
[4,5,6,3,2,1,8,7,11,12,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>3
[4,5,6,3,2,1,9,10,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>3
[4,5,6,3,2,1,10,11,12,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>2
[5,6,7,8,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[5,6,7,8,4,3,2,1,11,12,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>2
[6,7,8,9,10,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[7,8,9,10,11,12,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[2,8,3,1,5,4,6,7]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,2,1,8,5,3,6,7]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,3,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,3,2,6,7]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,3,2,6,7]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,3,8,5,2,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,3,8,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,4,7,8,3,2,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,1,7,4,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,3,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,6,3,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,1,7,8,5,3,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,3,5,4,6]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,5,8,4,6]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,7,1,3,6,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,3,5,6,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,7,5,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,7,4,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,6,7,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,1,8,6,7,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,5,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,6,4,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,4,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,5,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,5,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,1,4,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,4,5,7,2,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,3,6,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,7,3,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,7,4,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,5,3,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,4,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,6,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,5,8,6,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,1,7,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,5,7,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,1,4,7,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,4,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,5,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,5,8,3,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,7,3,6,8,4]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,7,3,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,5,6,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,6,5,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,8,7,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,5,8,7,3]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,8,7,2,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,1,5,7,8,2]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,5,7,6,8,2]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,6,5,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,2,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,5,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,6,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,5,7,3,2,8,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,3,8,2,5]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,5,7,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,5,7,4,8,6]=>[3,2,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,4,6,7,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,7,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,7,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,6,7,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,2,1,6,7,8,4,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,7,8,4,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,7,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,5,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,2,1,7,8,5]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,3,6,2,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,2,7,8,5,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,6,7,2,8,5,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,7,8,3,5]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,7,8,2,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,7,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,7,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,6,7,1,8,5,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,7,8,5,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,7,8,5,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,7,8,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,8,1,4,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,3,6,5,8,7,10,9]=>[3,4,1,2,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>4
[1,4,3,7,6,8,2,5]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,7,5,8,2,6]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,2,4,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,1,5,7,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,6,4,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,6,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,5,2,4,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,6,2,5,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,4,2,6,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,3,6,5,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,3,5,4,7]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,3,8,4,7,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,1,4,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,3,5,4,7]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,8,7,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,2,8,5,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,2,8,5,7]=>[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,5,1,4,7]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,3,4,7,6]=>[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,3,7,6,5]=>[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,1,7,4,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,3,8,7,6]=>[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,1,5,4,8,2,7,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,4,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,3,7,6,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,2,3,7,6,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,3,7,2,6,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,8,1,5,2,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,2,4,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,8,2,4,7,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,8,2,7,6,3]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,4,8,2,7,6,3]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,8,7,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,6,2,8,7,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,2,7,6,3]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,5,8,7,6,3]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,5,8,7,6,3]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,2,8,7,4,6]=>[1,4,7,2,8,6,3,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>1
[3,5,1,2,8,7,4,6]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,8,7,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,7,1,4,6]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,7,2,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,8,7,2,6,5]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,2,7,6,5]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,8,1,2,7,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,1,7,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,1,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,5,3,6,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,7,3,5,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,7,5,4,1,8,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,8,1,5,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,5,4,7,3,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,6,1,4,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,1,7,3,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,8,3,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,4,8,1,5]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,7,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,5,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,6,5,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,5,2,4,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,6,5,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,1,4,8,3,5,6]=>[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,4,8,3,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,6,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,5,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,5,3,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,6,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,5,4,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,6,2,4,7,8,3]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,4,8,3,6,5]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,4,2,8,3,5,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,6,3,5,7]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,2,3,8,5]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,6,8,3,5,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,6,7,4,2,8,5]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,4,6,1,7]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,5,3,8,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,6,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,6,5,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,6,8,4,2,5,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,7,4,8,5]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,7,3,5,8,6]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,4,2,8,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,2,7,6,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,3,7,6,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,3,1,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,1,3,8,6]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,2,1,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,1,7,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,8,4,3,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,2,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,2,4,8,3,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,3,6,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,2,3,7,5,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,3,2,7,5,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,3,2,7,1,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,7,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,6,1,7,2,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,4,1,3,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,2,1,6,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,1,3,6,5]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,1,4,3,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,2,1,5,7]=>[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,7,8,3,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,4,7,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,7,3,6,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,6,1,3,5]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,2,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>1
[4,5,6,1,2,3,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>1
[4,2,5,1,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[5,6,7,8,1,2,3,4,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[5,6,3,4,1,2,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>1
[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[6,7,3,4,8,1,2,5,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[6,4,7,2,5,1,3,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>1
[7,4,8,2,5,9,1,3,6]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,5,6,3,4,1,2,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[7,5,3,8,2,6,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[8,6,9,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,4,3,9,2,7,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,2,9,1,7]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,4,1,2,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>1
[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>1
[4,5,6,1,2,3,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>1
[4,2,5,1,3,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>1
[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>1
[5,6,7,8,1,2,3,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>1
[5,6,3,4,1,2,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>1
[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>1
[6,4,7,2,5,1,3,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>1
[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>1
[7,8,3,4,9,10,1,2,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,6,1,2,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,8,5,6,3,4,1,2,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>1
[7,5,3,8,2,6,1,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>1
[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>1
[8,5,9,10,2,6,7,1,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,3,9,2,6,10,1,4,7]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,7,2,5,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,6,4,3,9,2,7,1,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>1
[9,7,5,4,3,10,2,8,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,5,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,7,5,8,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,4,3,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,4,3,8,7]=>[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,1,2,5,4,3,8,7]=>[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,2,4,6,3,8,7]=>[6,2,3,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,2,6,5,3,8,7]=>[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,5,7,8,3,2,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,7,3,2,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,3,6,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,5,2,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,8,2,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,7,3,4,6]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,1,8,4,7,2,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,5,2,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,3,2,8,5]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,8,6,5,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,5,8,6,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,3,7,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,4,8,6,5]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,8,3,2,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,3,8,2,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,5,7,6,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,6,7,5,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,6,8,5,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,8,5,6,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,7,5,6,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,6,5,7,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,4,3,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,4,2,6,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,4,2,6,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,4,2,7,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,4,2,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,4,3,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,5,3,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,4,6,8,5]=>[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,7,3,2,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,8,7,4,5]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,3,7,8,6,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,3,8,7,6,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,3,8,6,7,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,5,8,7,4]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,3,4,8,7,5]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,6,3,2,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,5,7,8,4]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,3,6,8,7,4]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,6,3,5,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,2,7,3,5,6]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,5,4,2,7,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,6,8,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,8,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,1,7,3,6,5]=>[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,4,3,6,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,6,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,4,2,6,3,5,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,1,4,7,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,2,8,3,5,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,1,7,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,6,5,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,1,6,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,3,6,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,2,3,6,5,4,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,1,2,7,3,5,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,3,8,5,4,7]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,7,6,3,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,8,2,7,6,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,7,3,5,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,7,4,3,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,2,8,5,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,3,8,5,4,7]=>[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,1,8,7,6,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,7,4,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,1,7,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,6,3,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,7,2,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,8,7,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,8,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,8,4,7,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,2,4,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,2,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,1,2,4,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,8,1,7,2,3,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,7,2,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,7,4,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,7,2,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,2,8,5,7]=>[5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,8,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,6,2,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,8,7,4,6,1]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,1,7,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,2,6,5,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,2,6,5,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,7,8,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,3,6,5,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,7,3,5,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,7,5,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,1,3,6,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,7,3,5,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,7,1,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,7,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,7,5,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,7,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,3,6,1,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,4,6,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,4,6,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,3,6,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,7,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,5,7,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,3,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,6,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,5,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,7,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,8,2,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,7,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,2,6,1,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,4,6,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,7,1,6,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,4,3,7,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,3,1,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,2,1,6,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,2,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,2,3,7,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,3,2,7,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,2,7,8,5]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,3,7,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,2,6,5,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,2,1,5,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,5,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,6,8,7,3,5]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,4,6,8,7,1,2,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,6,8,7,2,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,8,7,2,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,1,7,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,6,7,3,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,6,7,4,5]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,6,5,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,8,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,7,8,6,5,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,6,1,5,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,6,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,6,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,5,4,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,6,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,6,5,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,4,3,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,5,2,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,3,2,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,7,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,5,2,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,2,4,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,1,2,4,5,3,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,4,7,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,6,7,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,4,2,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,6,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,5,3,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,5,2,4,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,5,7,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,7,4,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,5,4,3,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,2,3,8,6,7]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[7,1,5,8,2,6,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,3,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,2,4,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,7,6,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,7,5,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,4,8,7,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,6,7,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,4,6,8,5,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,6,8,5,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,8,5,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,4,8,5,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,7,8,5,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,8,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,2,8,6,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,1,5,8,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,5,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,2,6,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,1,2,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,8,1,7,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,4,7,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,7,4,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,7,3,5,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,3,6,5,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,6,4,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,4,6,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,4,6,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,3,6,5,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,8,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,1,2,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,4,2,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,1,4,2,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,6,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,8,2,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,8,2,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,1,8,4,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,8,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,8,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,4,1,8,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,6,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,4,8,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,1,2,6,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,1,2,8,4,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,2,8,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,4,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,2,6,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,2,4,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,2,8,4,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,2,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,2,7,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,3,2,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,8,3,2,7,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,4,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,3,2,7,4,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,3,2,6,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,4,8,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,4,8,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,3,2,8,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>1
[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>1
[2,4,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[4,6,8,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,4,5,7,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,4,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,4,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,3,6,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,8,2,4,7,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,4,3,8,2,6,7,5]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,8,3,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,6,2,7,5,1,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,3,2,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,2,5,8,6]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,7,8,2,6,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,2,7,8,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,2,7,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,7,2,6,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,3,5,2,7,6]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,7,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,3,4,2,8,7,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,2,7,5,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,8,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,2,8,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,2,6,8,5,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,8,5,4,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,6,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,5,3,1,6,4,7]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,8,5,4,6]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,6,2,3,7,8,5,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,2,8,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,8,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,8,3,6,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,8,6,3,5]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,7,3,8,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,3,1,5,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,8,4,5,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,4,5,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,2,4,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,5,2,1,4,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,4,1,6,5,3,7]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,7,5,3,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,7,6,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,6,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,4,3,7,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,5,4,3,6]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,6,4,3,7]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,1,8,6,5,4,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,7,2,4,3,8,6,5]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,8,3,6,5,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,8,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,7,3,2,6,5,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,3,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[8,6,5,3,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,1,7,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,2,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,3,7,2,5,8,6]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,8,3,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,8,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,5,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,1,8,7,5,2,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,3,5,2,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,6,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,5,6,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,4,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,4,8,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,1,6,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,2,6,8,4,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,5,2,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,3,8,1,5,7]=>[6,4,7,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,3,5,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,4,1,8,5,7]=>[5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,1,6,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,1,8,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,1,5,4,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,1,5,4,7]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,6,5,3,7]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,5,7,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,7,3,5,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,4,6,7,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,5,4,7,1,3,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,6,4,3,7]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,2,5,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,8,6,3,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,4,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,8,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,2,3,5,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,2,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,4,5,8,3,6]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,5,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,4,5,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,8,5,4,6]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,3,8,2,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,4,2,6,8,5]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,6,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,4,3,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,2,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,7,4,3,6,8]=>[3,6,1,7,5,2,4,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,1,4,7,8,6,3]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,7,8,1,5]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,2,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,3,5,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,2,7,5,6]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,5,6,4,7]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,5,4,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,7,6,8,2,5]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,6,2,8,5]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,2,3,6,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,5,3,7,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,3,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,4,1,3,8,5]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,3,8,4,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,1,6,5,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,8,3,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,7,1,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,5,3,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,2,4,3,7,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,4,3,7,8,5]=>[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,2,4,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,4,7,3,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,2,4,8,3,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,2,4,3,8,5]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,7,2,4,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,4,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,2,4,6,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,8,3,2,4,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,3,2,4,6,7]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,2,4,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,2,8,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,4,2,8,6,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,4,3,8,7,5]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,2,4,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,7,3,2,4,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,2,3,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,2,8,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,5,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,5,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,2,8,4,3,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,6,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,6,2,4,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,3,2,4,7,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,2,3,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,4,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,6,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,5,2,8,4,6]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,5,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,2,3,7,8,5]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,3,2,4,8,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,4,2,8,5,6]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,2,8,5,3,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,4,2,3,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,2,3,8,5,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,4,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,2,8,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,2,3,8,7,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,5,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,6,7,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,2,8,5,7]=>[5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,3,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,1,4,3,5,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,3,5,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,3,5,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,7,6,5,8,2]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,4,3,5,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,3,5,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,4,3,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,4,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,7,2,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,8,2,5,6]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,8,2,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,4,2,8,5,7]=>[1,5,7,4,2,8,3,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>1
[4,7,3,1,2,8,5,6]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,1,3,7,2,5,6]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,6,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,7,6,1,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,6,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,3,8,2,5,6]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,6,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,4,2,8,5,6]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,8,2,5,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,8,2,5,6]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,7,2,5,6]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,7,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,6,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,5,6,1,7]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,7,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,7,2,5,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,1,8,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,5,6,1,7]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,3,6,2,5,7]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,8,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,7,6,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,6,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,7,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,7,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,6,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,4,6,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,5,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,8,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,8,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,5,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,2,4,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,6,5,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,8,5,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,6,5,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,7,6,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,8,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,6,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,8,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,3,2,6,4,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,2,4,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,4,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,2,5,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,4,3,6,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,4,3,5,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,1,6,7,8,9,2]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,6,2,3,8,7,4,5]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,3,2,8,6,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,6,2,5,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,5,2,6,8,4]=>[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,4,2,6,8,5]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,3,2,5,8,6]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,3,2,8,6,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,5,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,1,9,2]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,6,5,4,3,2,1,8]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,3,1,10,2]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,1,5,4,3,8,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,3,2,7,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,10,7,6,5,4,3,2,1,9]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,1,4,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,3,2,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,4,3,7,6,5]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,9,1,5,4,3,2,8,6]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,8,5,4,7,2,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,4,3,9,6,2]=>[9,8,3,6,5,4,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,5,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,4,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,8,3,7,6,2]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,5,4,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,3,7,6,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,9,6,1,4,3,2,8,5]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,2,4,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,10,1,6,5,4,3,2,9,7]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,5,8,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,8,4,3,6]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,4,2,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,3,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,1,4,5,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,8,7,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,4,3,8,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,8,2,5,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,1,7,2,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,5,7,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,5,4,3,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,7,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,3,5,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,8,5,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,8,5,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,4,8,5,6,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,8,5,6,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,4,5,8,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,3,6,7,5,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,2,1,6,4,7,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,5,8,7,1,4]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,1,5,8,4,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,7,6,1,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,5,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,3,5,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,2,5,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,7,2,5,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,1,5,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,1,3,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,3,5,6,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,3,2,8,5,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,4,5,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,4,5,3,7]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,4,5,3,7]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,2,5,4,7]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,2,3,4,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,2,5,1,7]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,4,5,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,4,5,1,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,3,4,8,2,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,7,4,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,6,3,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,6,3,4,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,5,6,7,2]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,3,6,4,5]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,3,6,7,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,3,1,5,6,7,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,5,6,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,5,6,7,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,4,8,2,3,6,7,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,5,1,8,2,4,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,1,2,4,7,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,2,3,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,2,6,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,4,3,7,1,8,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,3,2,8,5,6]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,1,4,3,8,5,6]=>[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,6,3,7,5]=>[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,6,2,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,7,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,5,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,6,1,4,7,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,3,7,5,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,8,7,2,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,7,1,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,1,2,7,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,2,6,7,3]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,2,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,5,6,7,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,8,2,6,7,3]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,1,5,8,6,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,1,6,7,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,8,6,2,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,1,6,7,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,8,3,5,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,1,8,2,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,3,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,8,3,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,3,8,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,3,7,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,3,7,2,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,3,8,2,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,3,2,6,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,5,4,3,2,6,7]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,2,5,3,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,3,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,5,4,3,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,5,4,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,5,4,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,2,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,2,6,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,2,5,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,3,2,8,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,3,1,5,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,5,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,5,4,3,6,2,7]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,3,6,7,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,3,6,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,5,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,5,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,1,6,5,7]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,1,4,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,1,5,3,7]=>[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,1,5,4,7]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,1,6,5,7]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,8,6,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,2,7,4,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,8,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,4,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,3,6,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,3,6,4,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,8,4,6,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,8,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,6,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,5,6,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,2,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,1,5,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,3,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,7,5,8,2,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,8,4,7,5,6]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,8,2,3,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,4,3,7,5,6]=>[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,8,2,7,3,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,2,7,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,6,7,2,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,2,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,1,6,4,7]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,1,6,3,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,2,3,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,1,7,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,7,1,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,4,6,3,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,7,6,3,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,1,4,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,1,3,6,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,3,7,6,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,2,3,6,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,2,6,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,7,2,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,2,7,6,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,7,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,2,7,6,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,2,7,6,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,4,2,7,3]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,5,1,4,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,3,5,1,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,1,5,4,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,7,6,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,4,2,6,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,6,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,2,6,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,2,4,6,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,4,7,6,5]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,7,4,6,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,1,5,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,1,2,5,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,6,3,4,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,3,6,4,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,3,4,6,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,8,5,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,2,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,1,5,3,4,8,7]=>[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,8,1,3,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,6,1,8,5]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,7,6,3,8,5]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,4,7,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,6,2,8,5]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,3,2,7,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,5,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,4,7,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,3,2,5,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,7,8,1,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,7,1,3,6]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,4,6,8,5,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,7,5,6,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,5,1,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,4,5,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,1,7,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,5,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,5,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,5,8,4,7,3]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,8,5,4,3,7]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,1,8,5,6,2,3,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,6,1,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,7,5,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,6,7,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,3,7,5,6]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,3,8,2,4,5,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,6,4,5,7]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,2,6,3,5,7]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,2,6,4,5,7]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,2,4,5,7,6]=>[1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,2,3,6,4,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,2,5,3,6,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,2,4,5,3,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,3,6,4,5,7]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,7,8,3,6,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,2,4,3,6,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,3,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,1,5,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,5,2,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,6,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,5,2,7,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,6,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,6,7,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,7,6,8,3,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,6,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,6,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,7,8,2,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,4,3,8,7,5]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,7,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,6,8,7,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,8,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,7,8,6,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,7,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,6,3,7,5,1,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,7,3,6,5,1,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,3,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,5,3,1,6,4,8,7]=>[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,5,3,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,5,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,7,6,3,5,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,5,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,3,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,5,2,3,8,4,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,5,3,1,8,6,4,7]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,4,1,5,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,1,4,5,7]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,3,4,7,6]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,3,1,8,5,4,7]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,2,3,5,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,3,5,7,6]=>[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,2,6,3,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,3,5,7,6]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,4,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,3,8,7,4,6]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,1,8,3,7,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,7,4,5,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,1,6,4,7]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,2,5,7,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,1,2,5,7]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,4,8,6,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,5,7,6,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,5,6,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,3,5,7,6]=>[4,5,8,1,2,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,1,5,7,2]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,2,1,5,7]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,6,7,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,7,5,2,8,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,5,6,1,7]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,6,1,5,7]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,2,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,5,7,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,4,6,1,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,4,6,2,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,4,7,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,5,2,6,7]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,7,5,3,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,5,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,6,7,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,5,3,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,3,2,8,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,6,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,7,1,5,8,6,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,7,8,5,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,1,3,5,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,3,8,2,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,5,4,2,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,5,8,2,6]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,8,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,3,5,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,6,2,7,5,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,3,2,7,8,4,5]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,2,5,3,4,7]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,2,6,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,6,8,3,5]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,4,5,1,6,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,6,4,5,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,4,6,5,1,3,7]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,7,5,2,6,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,8,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,4,6,2,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,3,7,5,6]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,7,5,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,6,7,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,5,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,5,7,8,2,6]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,8,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,7,4,3,8,6]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,5,6,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,5,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,2,8,4,7,3]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,8,5,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,2,8,5,6,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,5,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,5,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,5,7,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,5,8,6,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,5,8,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,8,1,2,3,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,8,6,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,8,5,6,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,1,8,5,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,1,3,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,6,8,5,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,3,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,6,8,5,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,6,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,6,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,8,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,8,2,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,6,8,2,5,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,2,6,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,1,2,6,8,5,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,8,5,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,5,4,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,6,4,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,6,8,5,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,6,8,5,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,8,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,8,3,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,6,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,8,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,8,5,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,8,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,6,8,5,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,8,2,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,2,1,5,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,6,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,4,6,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,6,8,4,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,1,4,8,3]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,5,8,7,3]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,5,4,8,6,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,3,7,2,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,4,8,2,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,1,5,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,3,5,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,4,5,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,4,5,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,2,3,1,6,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,1,4,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,3,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,2,6,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,2,5,7,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,5,2,8,6]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,4,3,5,6,2,7]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,5,7,8,4]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,8,7,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,7,8,1,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,8,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,8,7,1,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,4,7,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,7,3,5,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,2,7,4,8,1,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,7,8,1,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,6,8,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,8,3,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,3,4,5,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,3,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,4,3,7,2,8,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,3,8,2,7,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,4,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,8,7,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,7,8,5,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,1,6,8,3]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,3,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,6,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,2,3,7,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,8,6,5,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,5,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,4,2,6,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,8,4,2,3,6,7]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,4,2,6,7]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,3,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,6,7,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,6,2,5,7]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,7,3,5,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,8,7,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,4,2,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,4,3,5,7]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,3,4,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,3,7,5,6,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,2,6,5,7]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,2,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,2,6,5,7]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,7,5,6,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,3,5,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,5,4,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,6,2,5,7]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,1,8,2,6,5,7]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,4,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,5,3,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,3,6,5,7]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,7,6,8,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,5,2,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,1,6,5,7]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,2,6,5,7]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,8,5,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,3,1,5,7]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,3,1,5,7]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,8,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,2,6,5,7]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,4,8,1,6,5,7]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,2,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,1,4,8,2,6,5,7]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,2,1,5,7]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,6,1,4,7]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,5,6,3,7]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,2,6,4,7]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,6,3,8,4,7]=>[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,8,4,3,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,8,4,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,6,2,7,8,5]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,8,5,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,6,7,5,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,6,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,2,7,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,1,4,3,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,4,2,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,3,2,6,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,3,2,5,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,6,8,5,7,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,1,6,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,2,3,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,5,2,8,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,1,8,3,6]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,7,8,3,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,7,4,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,4,1,6,8,5]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,7,8,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,4,2,5,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,1,3,7,4,2,6,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,7,3,6,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,3,7,5,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,5,7,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,1,5,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,2,6,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,8,6,5,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,2,1,7,6,5,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,3,6,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,7,6,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,6,1,4,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,5,1,7,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,5,1,8,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,5,1,4,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,6,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,2,6,5,1,4,7]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,6,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,7,6,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,1,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,1,5,8,2]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,7,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,7,2,1,5,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,1,4,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,1,5,7,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,1,4,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,1,4,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,2,6,1,4,3,7]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,2,6,1,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,7,8,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,1,5,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,7,6,1,4,5,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,4,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,6,4,3,7]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,5,4,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,3,2,1,6,4,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,8,2,1,5,4,6,7]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,5,4,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,7,1,6,4,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,7,1,5,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,7,1,5,4,3,6]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,7,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,7,4,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,5,7,3,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,1,6,5,4,3,7]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,5,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,2,6,3,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,7,2,4,6]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,7,2,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,6,7,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,3,5,4,6]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,5,6,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,8,1,6,3]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,2,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,3,5,4,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,2,5,4,7]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,8,3,6,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,5,3,6,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,2,5,4,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,7,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,6,5,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,6,5,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,3,7,4,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,6,1,5,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,4,3,8,6]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,4,5,3,6,7]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,8,3,6,5,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,5,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,4,8,5,7,3,6]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,4,6,8,3,7]=>[2,1,7,4,5,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,5,3,1,6,2,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,6,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,7,5,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,2,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,7,5,1,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,7,6,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,1,7,5,6]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,3,1,8,6,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,3,1,5,8,6]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,4,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,4,5,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,1,4,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,7,1,8,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,5,3,2,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,5,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,3,4,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,4,7,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,3,7,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,5,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,3,5,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,7,8,5,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,6,1,5,7]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,3,6,1,8,5]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,7,1,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,5,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,6,1,5,8,7]=>[5,2,3,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,4,5,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,4,6,7,1,5]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,5,6,8,1,7]=>[7,2,3,4,5,8,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,4,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,8,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,7,8,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,8,2,7,4]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,8,2,7,4]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,8,4,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,6,8,3,7,4]=>[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,8,3,7,4]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,7,8,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,5,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,5,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,7,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,1,8,3,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,6,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,5,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,5,4,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,5,1,4,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,6,5,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,5,6,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,5,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,7,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,1,7,5,8,2,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,7,8,6,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,5,8,1,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,5,8,1,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,5,1,6,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,3,8,4,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,3,8,4,5]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,3,8,5,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,8,2,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,8,2,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,8,6,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,5,8,3,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,3,8,5,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,7,4,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,5,8,4,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,5,8,7,3,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,5,8,7,2,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,5,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,5,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,8,1,6,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,9,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,5,4,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,9,1,2]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,5,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,6,5,4,3,1,8,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,3,4,6,2,1,5,7]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,8,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,8,3,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,5,6,3,7]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,1,8,4,3,7]=>[4,7,6,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,6,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,6,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,2,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,3,2,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,3,8,4,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,7,4,3,8,6]=>[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,4,8,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,7,8,5,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,7,8,4,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,3,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,8,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,7,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,2,4,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,4,3,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,2,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,3,2,7,8,4]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,2,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,1,7,8,4]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,1,8,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,1,8,4,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,2,1,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,1,3,8,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,6,4,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,8,4,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,7,8,5,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,7,3,8,6,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,3,8,5,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,8,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,3,8,5,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,8,5,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,8,2,5,7]=>[6,2,3,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,8,4,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,2,1,7,4]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,2,6,4,5,8,1,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,4,5,8,3,7]=>[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,2,1,6,8,4,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,6,5,8,2,7]=>[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,4,5,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,1,8,5,2,7,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,7,6,3,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,7,3,6,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,2,8,7,4,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,1,7,5,3,4,6]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,4,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,7,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,5,8,6,7,1]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,6,8,7,2]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,7,1,3,5]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,8,7,1,4]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,6,7,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,2,3,7,1,8,6,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,8,1,7,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,7,3,4,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,5,3,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,2,7,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,7,1,5,6]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,7,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,2,5,8,7,4]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,3,2,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,2,8,7,6,3]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,6,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,8,5,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,8,7,1,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,4,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,7,1,8,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,3,2,5,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,5,2,4,7]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,6,5,2,7]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,6,5,1,7]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,6,5,3,7]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,6,5,3,7]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,1,5,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,1,5,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,4,5,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,8,5,7,2,6]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,4,7,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,7,5,8,2,6]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,5,1,3,8,7,4]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,4,7,6,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,5,8,6,7,2]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,8,6,7,2]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,1,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,2,8,6,7,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,8,6,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,1,6,8,7,4]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,8,6,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,6,4,7,5]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,8,4,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,8,3,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,3,1,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,3,2,5,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,1,3,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,1,3,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,3,2,7,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,6,1,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,5,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,4,7,6,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,7,6,4,5,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,7,2,4,6,5,8,3]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,1,7,6,8,2,4]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,1,3,7,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,1,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,2,6,7,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,5,4,6,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,1,3,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,5,1,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,1,8,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,1,5,2,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,1,5,6,2]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,8,4,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,4,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,8,4,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,1,7,8,5,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,1,8,5,4,7]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,4,5,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,4,8,6,5]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,8,5,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,7,8,3,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,3,8,6,2]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,7,8,5,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,8,5,2,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,3,5,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,2,8,6,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,2,5,6,7]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,3,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,2,5,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,8,4,3,7]=>[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,4,8,6,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,8,4,6,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,8,4,3,6,7]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,8,4,2,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,4,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,8,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,4,2,6,7]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,7,8,5,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,8,5,4,7]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,8,5,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,4,5,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,4,5,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,4,8,6,5]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,4,5,6,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,2,3,7,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,4,3,7,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,1,2,4,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,2,4,7,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,1,5,7,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,3,8,4,7,5]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,3,8,4,6]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,7,6,4,5]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,3,7,4,6]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,3,1,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,2,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,3,2,4,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,4,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,5,6,3,7]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,2,6,4,5]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,5,1,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,6,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,9,8,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,9,8,7,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,9,8,7,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,9,8,7,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,9,8,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,9,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,10,9,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,9,7,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,10,9,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,6,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,9,8,6,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,10,9,8,7,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,7,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,9,8,7,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,10,9,8,7,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,8,7,6,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,9,8,7,6,4,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,10,9,8,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,7,6,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,7,6,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,9,8,7,6,5,3,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,10,9,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,7,6,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,9,8,7,6,5,4,2,3]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[2,10,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,5,4,7,6]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,4,3,7,6]=>[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,5,2,7,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,8,4,3,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,2,5,4,8,6]=>[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,1,5,3,4,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,8,7,4,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,6,2,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,7,8,6,2]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,4,7,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,6,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,8,1,6,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,7,2,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,6,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,5,7,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,4,2,7,6,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,3,7,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,7,1,5,6]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,7,8,2,5]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,3,2,5,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,5,6,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,6,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,8,6,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,2,1,7,5,8,4]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,8,7,6,3]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,2,7,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,7,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,2,5,6,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,4,5,6,7,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,4,1,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,6,1,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,1,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,5,7,8,2]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,3,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,3,6,4,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,7,8,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,6,8,4,7,3]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,6,5,8,4,7]=>[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,1,2,6,8,5,3,7]=>[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,4,8,7,6,3]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,1,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,4,2,5,8,7,3,6]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,4,8,7,3,6]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,8,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,2,6,7,4,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,2,8,6,3,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,7,8,4,6,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,2,8,3,6,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,3,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,7,4,8,6,2]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,4,1,5,3,7,6]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,5,7,2,6]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,4,2,8,7,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,4,2,8,6,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,2,7,6,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,5,2,7,4,6]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,3,5,1,4,7,6]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,1,4,7,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,6,2,7,4,5]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,6,7,2,3,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,8,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,8,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,6,8,2,3,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,6,2,8,4,5]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,8,7,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,7,8,3,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,4,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,5,8,7,3]=>[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,6,4,5,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,7,5,8,3,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,7,4,8,5,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,7,4,8,3,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,7,8,2,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,1,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,4,8,7,3]=>[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,7,8,5,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,8,6,7,3]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,8,7,3,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,8,7,6,3]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,1,5,3,8,6,4,7]=>[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,5,4,8,3,7]=>[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,8,6,3,7]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,8,3,7,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,6,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,7,8,4,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,8,7,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,1,7,8,6,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,1,4,2,8,6,7,3]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,2,8,7,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,4,2,5,6,7]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,3,2,5,6,7]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,9,3,2,4,5,6,7,8]=>[1,9,4,3,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[8,4,7,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,6,5,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,6,5,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,2,5,4,7]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,2,5,3,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,3,6,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,3,7,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,1,4,3,7]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,6,8,1,3]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,7,6,8,1,4]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,3,7,5,8]=>[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,5,8,1,4,3,7]=>[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,3,7,4,8]=>[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,3,7,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,3,7,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,3,7,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,2,6,3,7]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,2,6,4,7]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,2,6,5,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,4,2,6,5,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,5,8,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,5,8,1,4]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,4,7,1,3]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,3,7,1,4]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,3,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,1,5,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,4,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,7,8,2,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,2,5,7,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,3,1,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,2,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,3,6,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,3,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,9,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,4,9,8,7,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,5,9,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,8,4,3,9,7,6,2,1]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,7,6,9,8,3,2,1]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,7,8,4,9,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,7,8,3,2,9,6,5,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,6,7,8,3,9,5,2,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,9,3,2,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,4,5,6,7,8,1,9,3]=>[7,9,3,4,5,6,1,8,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,10,9,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,5,10,9,8,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,9,6,10,8,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,4,3,10,9,8,7,2,1]=>[10,9,4,3,8,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,9,5,4,10,8,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,8,7,10,9,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,8,9,5,10,7,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,4,8,7,3,10,9,6,2,1]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,9,4,3,10,7,6,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,7,4,9,6,10,8,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,10,4,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,7,8,9,3,2,10,6,5,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,3,6,5,8,7,10,9,2,1]=>[10,9,4,3,6,5,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,6,7,8,9,3,10,5,2,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,4,5,6,7,8,9,1,10,3]=>[8,10,3,4,5,6,7,1,9,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,6,8,2,5,3,7,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,3,4,7,6]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,3,6,4,7,5]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,2,8,4,7,6]=>[1,4,6,2,8,3,7,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,7,3,4,6,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,3,7,4,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,2,3,5,4,7]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,6,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,1,5,8,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,8,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,2,8,3,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,2,6,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,7,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,8,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,1,5,4,8,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,2,3,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,2,4,6,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,2,4,6,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,2,4,6,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,2,4,7,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,2,4,8,5]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,4,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,4,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,5,2,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,6,3,1,2,4,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,8,7,5,4]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,2,3,7,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,2,7,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,2,8,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,2,3,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,5,4,8,3,7]=>[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,4,1,7,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,4,6,3,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,5,8,3,4,6]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,1,3,6,7]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,8,7,4,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,1,5,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,6,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,5,7,3,6]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,7,2,5,6]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,4,8,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,1,5,8,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,8,1,3,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,7,4,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,7,4,6,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,2,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,5,6,8,2]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,7,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,8,5,2,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,5,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,3,5,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,5,8,4,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,2,8,5,3,6]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,8,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,7,5,6,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,5,7,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,1,6,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,4,6,3,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,5,3,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,4,5,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,2,4,8,5,6]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,5,2,8,4,7]=>[1,5,7,4,2,8,3,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>1
[7,1,6,5,3,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,5,2,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,5,4,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,1,2,4,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,6,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,1,5,2,7]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,3,6,2,4,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,2,4,3,8,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,4,8,6,2,7]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,1,3,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,3,4,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,6,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,5,8,2,6,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,5,6,7,4]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,7,5,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,2,6,7,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,2,8,5,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,7,2,8,5]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,7,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,6,2,8,4,5]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,5,7,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,8,5,7,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,8,5,4,3,6,7]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,4,1,5,3,8,6]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,4,6,3,8,5]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,2,8,5,4,6]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,1,3,6,7]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,2,3,8,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,1,4,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,5,3,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,3,7,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,5,8,4,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,4,5,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,6,8,3,7,4]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,1,2,6,4,7,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,2,7,4,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,7,2,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,8,4,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,6,2,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,4,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,2,5,7,8,4]=>[1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,3,5,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,1,6,4,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,2,7,8,5]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,5,2,7,8,4]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,5,1,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,8,5,4,7]=>[4,2,7,1,8,6,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,1,8,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,5,4,8,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,8,5,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,4,8,7,6,2]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,8,5,2,7,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,7,4,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,6,8,3,1,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,8,5,2,4,7]=>[1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,8,2,4,7,6]=>[1,5,6,8,2,3,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,8,2,5,4,7]=>[1,5,7,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,8,3,2,5,7]=>[1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,7,4,8,1,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,5,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,5,6,8,2,4]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,6,5,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,8,1,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,6,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,8,7,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,8,7,4,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,8,7,1,4]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,7,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,6,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,8,3,5,7,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,8,2,5,7,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,8,2,7,4,6]=>[1,5,7,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,8,7,2,4,6]=>[1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,7,6,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,8,6,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,4,6,8,1,5]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,3,4,7,1,5,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,3,4,5,8,1,6]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,3,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,8,4,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,3,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,1,7,3,4,6,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,1,8,3,4,6,7]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,4,5,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,8,4,6,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,3,8,5,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,8,4,7,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,7,1,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,6,1,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,3,4,5,6]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,3,4,5,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,7,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,3,4,5,7]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,1,8,3,4,5,6]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,8,3,6,7,2]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,1,8,3,6,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,8,4,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,8,5,6,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,4,5,7,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,3,6,8,2,7,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,2,4,6,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,3,7,2,4,5,6]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,7,2,4,5,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,5,1,4,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,2,6,1,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,4,5,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,3,4,5,7]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,3,4,5,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,6,2,3,4,5,7]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,7,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,6,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,7,1,8,5]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,5,1,8,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,4,8,5,3,7]=>[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,1,8,5,3,2,7,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,3,2,8,5,4,7]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,8,4,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,8,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,8,1,2,6,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,10,9,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,6,8,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,10,6,9,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,10,9,8,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,3,4,6,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,10,9,3,4,6,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,3,6,8,4,7,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,10,6,9,4,7,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,7,10,9,4,8,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,3,4,5,8,7,6,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,10,4,5,9,7,6,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,4,7,10,5,9,8,6,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,6,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,10,9,5,6,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,6,8,7,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,10,6,9,7,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,10,9,8,1,2,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,1,4,6,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,10,9,1,4,6,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,6,8,4,7,2,5,3]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,10,6,9,4,7,2,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,6,7,10,9,4,8,2,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[9,10,1,4,5,8,7,2,6,3]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,10,4,5,9,7,2,6,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,4,7,10,5,9,8,2,6,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[9,10,7,8,1,2,3,6,5,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,10,9,1,2,3,6,5,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,6,8,2,3,7,5,4]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,10,6,9,2,3,7,5,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,6,7,10,9,2,3,8,5,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[9,10,1,2,3,4,8,7,6,5]=>[10,9,3,4,5,6,8,7,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,12,11,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,10,9,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,12,8,11,9,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,12,11,10,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,6,8,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,12,11,5,6,8,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,8,10,6,9,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,10,12,8,11,6,9,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,8,9,12,11,6,10,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,6,7,10,9,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,10,12,6,7,11,9,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,6,9,12,7,11,10,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,12,11,10,9,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,12,11,7,8,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,10,9,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,12,8,11,9,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,12,11,10,3,4,6,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,3,6,8,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,12,11,3,6,8,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,3,8,10,6,9,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,10,12,8,11,6,9,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,8,9,12,11,6,10,4,7,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,3,6,7,10,9,4,8,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,10,12,6,7,11,9,4,8,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,6,9,12,7,11,10,4,8,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,3,4,5,8,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,12,11,3,4,5,8,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,3,8,10,4,5,9,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,10,12,8,11,4,5,9,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,8,9,12,11,4,5,10,7,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,3,4,7,10,5,9,8,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,10,12,4,7,11,5,9,8,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,4,9,12,7,11,5,10,8,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,12,11,7,8,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,10,9,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,12,8,11,9,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,12,11,10,5,6,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,6,8,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,12,11,5,6,8,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,8,10,6,9,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,10,12,8,11,6,9,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,8,9,12,11,6,10,7,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,6,7,10,9,8,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,10,12,6,7,11,9,8,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,6,9,12,7,11,10,8,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,12,11,10,9,1,2,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,12,11,7,8,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,10,9,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,12,8,11,9,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,12,11,10,1,4,6,2,5,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,12,11,7,8,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,10,9,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,12,8,11,9,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,12,11,10,1,2,3,6,5,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,1,2,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>1
[2,4,1,3,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[2,3,5,1,4,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[3,6,8,7,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,2,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,5,8,7,2]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,2,4,8,7,6]=>[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,8,5,2,7,4,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,1,3,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,5,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,1,4,6,2,8,7,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,5,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,5,6,1,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,7,2,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,2,3,6,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,5,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,4,8,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,6,3,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,3,7,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,7,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,8,6,2,7]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,3,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,8,2,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,6,5,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,6,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,8,5,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,5,6,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,5,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,6,1,5,7]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,3,2,6,7]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,5,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,4,2,5,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,7,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,2,7,5,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,1,8,5,7,6,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,4,2,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,7,2,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,3,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,1,6,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,5,8,7,3,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,3,6,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,4,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,6,8,2,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,6,8,7,2,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,3,7,2,8,5]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,6,5,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,2,5,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,5,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,4,7,5,1,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,3,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,4,7,6,2,8,5]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,3,6,1,7,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,1,6,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,7,5,2,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,6,2,8,5,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,2,7,5,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,6,5,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,2,7,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,1,7,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,6,5,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,6,5,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,7,1,6,5,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,6,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,3,5,1,2,8,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,2,3,8,7,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,1,6,3,8,5,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,5,2,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,2,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,1,2,8,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,2,8,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,8,5,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,3,8,6,5,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,7,5,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,3,8,6,5,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,2,6,5,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,6,5,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,2,7,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,3,8,2,7,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,3,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,3,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,3,5,8,1,6]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,1,7,2,6,3,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,1,8,3,2,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,8,3,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,8,2,7,4]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,6,4,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,2,5,4,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,6,2,5,4,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,7,3,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,2,6,5,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,8,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,8,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,3,2,5,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,4,2,5,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,8,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,8,3,5,7,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,1,6,8,2,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,3,4,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,3,7,6,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,3,2,6,4,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,6,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,6,5,3,2,4,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,7,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,8,1,5,4,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,5,4,7,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,8,1,6,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,1,8,6,3]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,7,6,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,4,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,3,2,8,6,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,3,2,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,4,3,6,7,8]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,5,7,4,2,6,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,4,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,2,1,6,5,3,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,5,1,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,5,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,5,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,1,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,6,2,1,9,5,3,8,4,7]=>[10,9,4,3,8,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,10,9,7,8]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>4
[2,1,4,3,8,7,5,6,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>4
[2,1,4,3,10,9,8,5,6,7]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>3
[2,1,6,5,3,4,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>4
[2,1,6,5,3,4,10,9,7,8]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>3
[2,1,8,7,6,3,4,5,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>3
[2,1,10,9,6,3,8,4,5,7]=>[2,1,10,9,8,6,7,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[2,1,10,9,8,7,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[4,3,1,2,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>4
[4,3,1,2,6,5,10,9,7,8]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>3
[4,3,1,2,8,7,5,6,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>3
[4,3,1,2,10,9,8,5,6,7]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>2
[6,5,4,1,2,3,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>3
[6,5,4,1,2,3,10,9,7,8]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>2
[8,7,4,1,6,2,3,5,10,9]=>[8,7,6,4,5,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,9,4,1,6,2,8,3,5,7]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,4,1,8,7,2,3,5,6]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,1,2,3,4,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,7,6,5,1,2,3,9,4,8]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,5,1,2,8,3,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,5,1,7,2,3,4,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,8,7,12,11,9,10]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>5
[2,1,4,3,6,5,10,9,7,8,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>5
[2,1,4,3,6,5,12,11,10,7,8,9]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>4
[2,1,4,3,8,7,5,6,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>5
[2,1,4,3,8,7,5,6,12,11,9,10]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>4
[2,1,4,3,10,9,8,5,6,7,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>4
[2,1,4,3,12,11,10,9,5,6,7,8]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,6,5,3,4,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>5
[2,1,6,5,3,4,8,7,12,11,9,10]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>4
[2,1,6,5,3,4,10,9,7,8,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>4
[2,1,6,5,3,4,12,11,10,7,8,9]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>3
[2,1,8,7,6,3,4,5,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>4
[2,1,8,7,6,3,4,5,12,11,9,10]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>3
[2,1,10,9,8,7,3,4,5,6,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,12,11,10,9,8,3,4,5,6,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[4,3,1,2,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>5
[4,3,1,2,6,5,8,7,12,11,9,10]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>4
[4,3,1,2,6,5,10,9,7,8,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>4
[4,3,1,2,6,5,12,11,10,7,8,9]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>3
[4,3,1,2,8,7,5,6,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>4
[4,3,1,2,8,7,5,6,12,11,9,10]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>3
[4,3,1,2,10,9,8,5,6,7,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>3
[4,3,1,2,12,11,10,9,5,6,7,8]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>2
[6,5,4,1,2,3,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>4
[6,5,4,1,2,3,8,7,12,11,9,10]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>3
[6,5,4,1,2,3,10,9,7,8,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>3
[6,5,4,1,2,3,12,11,10,7,8,9]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>2
[8,7,6,5,1,2,3,4,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[8,7,6,5,1,2,3,4,12,11,9,10]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>2
[10,9,8,7,6,1,2,3,4,5,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[12,11,10,9,8,7,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,6,5,4,3,2,9,1,8]=>[8,6,5,4,3,2,9,1,7]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,4,3,9,2,8,1,7]=>[8,6,4,3,9,2,7,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,9,3,8,2,7,1,6]=>[8,6,9,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,3,8,2,7,1,6,9]=>[7,5,3,8,2,6,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[4,8,3,7,2,6,1,5,9]=>[7,8,5,6,3,4,1,2,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[4,3,7,2,6,9,1,5,8]=>[7,4,8,2,5,9,1,3,6]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,3,7,2,6,1,5,8,9]=>[6,4,7,2,5,1,3,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[3,6,9,2,5,8,1,4,7]=>[7,8,9,4,5,6,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,6,2,5,8,1,4,7,9]=>[6,7,3,4,8,1,2,5,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[3,6,2,5,1,4,7,8,9]=>[5,6,3,4,1,2,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>1
[3,2,5,1,4,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[2,4,6,8,1,3,5,7,9]=>[5,6,7,8,1,2,3,4,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[2,4,6,1,3,5,7,8,9]=>[4,5,6,1,2,3,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>1
[8,7,6,5,4,3,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,5,4,3,10,2,9,1,8]=>[9,7,5,4,3,10,2,8,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,4,10,3,9,2,8,1,7]=>[9,7,5,10,3,8,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,4,3,9,2,8,1,7,10]=>[8,6,4,3,9,2,7,1,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[5,10,4,9,3,8,2,7,1,6]=>[9,10,7,8,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,4,9,3,8,2,7,1,6,10]=>[8,6,9,4,7,2,5,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[5,4,3,8,2,7,10,1,6,9]=>[8,5,3,9,2,6,10,1,4,7]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,4,3,8,2,7,1,6,9,10]=>[7,5,3,8,2,6,1,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>1
[4,8,3,7,2,6,10,1,5,9]=>[8,9,5,6,3,4,10,1,2,7]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,3,7,2,6,1,5,9,10]=>[7,8,5,6,3,4,1,2,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>1
[4,3,7,10,2,6,9,1,5,8]=>[8,5,9,10,2,6,7,1,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,3,7,2,6,1,5,8,9,10]=>[6,4,7,2,5,1,3,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>1
[3,6,9,2,5,8,1,4,7,10]=>[7,8,9,4,5,6,1,2,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[3,6,2,5,8,10,1,4,7,9]=>[7,8,3,4,9,10,1,2,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,2,5,1,4,7,8,9,10]=>[5,6,3,4,1,2,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>1
[3,2,5,1,4,6,7,8,9,10]=>[4,2,5,1,3,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>1
[2,4,6,8,1,3,5,7,9,10]=>[5,6,7,8,1,2,3,4,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>1
[2,4,6,1,3,5,7,8,9,10]=>[4,5,6,1,2,3,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>1
[2,4,1,3,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>1
[2,1,7,3,8,4,6,5]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,1,8,2,7,3,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,8,3,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,2,8,4,6,5]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,4,3,6,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,5,3,6,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,8,3,6,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,8,3,6,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,7,3,6,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,4,3,7,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,4,3,7,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,4,3,7,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,5,3,7,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,5,3,7,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,7,3,5,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,7,3,5,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,8,3,5,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,5,3,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,4,3,8,5]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,2,4,3,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,1,5,2,4,3,8,6]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,4,3,8,5]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,5,3,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,8,3,5,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,6,3,5,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,5,4,6,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,7,4,3,5,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,4,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,8,1,5,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,6,3,5,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,7,4,3,6,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,8,3,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,4,3,6,2,7]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,3,7,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,2,5,3,7,6]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,8,2,1,3,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,2,5,6,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,8,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,1,3,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,2,6,8,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,2,6,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,2,5,8,7]=>[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,3,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,6,2,5,7,8]=>[5,3,2,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,4,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,1,6,8,3]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,3,8,2,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,5,7,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,3,1,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,1,5,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,3,6,4,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,4,1,7,8,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,7,3,5,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,2,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,3,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,1,6,2,8,7,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,8,2,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,1,8,7,3]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,1,7,8,3,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,3,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,1,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,2,5,7,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,2,5,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,2,5,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,2,4,6,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,3,5,4,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,7,1,8,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,6,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,3,5,4,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,8,3,1,7,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,1,8,4,6]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,2,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,1,2,7,3,6,4,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,4,7,8,2,3,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,6,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,3,2,4,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,6,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,4,7,8,1,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,6,1,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,6,1,7,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,2,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,2,4,7,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,6,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,8,6,2,3,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,3,6,4,7]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[7,6,5,4,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,2,1,9,3]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,5,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,2,1,9,4]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,4,3,2,1,9,5]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,5,4,3,2,1,9,6]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,5,4,3,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,2,1,9,7]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,5,4,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,9,1,3,2]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,2,1,10,3]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,5,2,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,9,2,1,4,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,3,2,1,10,4]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,5,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,9,3,2,1,5,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,3,2,1,10,5]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,8,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,9,4,3,2,1,6,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,5,4,3,2,1,10,6]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,6,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,5,4,3,2,1,7,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,6,5,4,3,2,1,10,7]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,4,3,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,6,5,4,3,2,1,8,7]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,6,5,4,3,2,1,10,8]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,6,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,6,10,2,3,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,2,3,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,10,2,3,6,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,2,3,6,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,5,9,10,2,3,6,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,5,9,2,3,6,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,6,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,6,10,2,1,3]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,2,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,10,2,6,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,2,6,10,1,3]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,5,9,10,2,6,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,5,9,2,6,10,1,3]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,2,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,10,2,1,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,2,10,1,3,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,2,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,8,4,5,9,10,2,1,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,5,9,2,10,1,3,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,5,9,2,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,8,9,10,4,2,5,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,10,2,5,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,2,5,6,10,1,3]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,9,10,2,5,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,9,2,5,6,10,1,3]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,10,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,2,5,10,1,3,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,2,5,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,8,4,9,10,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,9,2,5,10,1,3,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,9,2,5,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,8,4,2,5,9,10,1,3,6]=>[10,9,8,5,4,6,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,8,9,10,2,5,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,8,9,2,5,6,10,1,3]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,8,9,10,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,8,9,2,5,10,1,3,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,8,9,2,5,1,3,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,4,8,2,5,9,10,1,3,6]=>[10,9,8,5,4,6,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,2,4,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,1,3,2,4,5,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,5,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,5,3,6,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,7,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,3,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,5,6,1,4,7,8]=>[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,5,2,6,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,4,6,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,6,2,4,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,2,4,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,4,6,7,1,3,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,7,4,5,1,3,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,5,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,1,6,2,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,1,7,3,2,4,5,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,7,4,5,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,7,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,1,6,3,4,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,3,2,5,4,1,6,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,4,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,2,1,4,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,6,7,5,2,8,4]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,4,1,6,2,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,2,5,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,1,5,2,6,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,6,7,2,5,8,4]=>[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,6,2,8,5,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,1,7,2,6,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,7,3,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,5,8,7,2,6]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,4,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,1,6,8,7,3]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,7,5,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,5,8,2,7]=>[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,5,8,6,1,7]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,5,8,1,7,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,5,8,7,2]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,7,8,5,2]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,2,6,8,7,3]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,2,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,7,4,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,1,4,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,1,2,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[7,1,5,2,6,8,4,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,6,8,3,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,4,6,1,8,3,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,5,1,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,7,1,8,5]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,6,8,1,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,5,8,6,2,7]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,4,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,6,8,4,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,8,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,10,7,9,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,8,5,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,6,9,5,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,6,9,5,8,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,4,6,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,7,9,4,6,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,8,4,7,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,6,9,4,7,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,6,9,4,8,3,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,8,4,7,3,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,5,9,4,7,3,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,5,9,4,8,3,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,10,5,9,4,8,3,7,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,6,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,7,9,5,6,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,8,5,7,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,6,9,5,7,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,6,9,5,8,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,4,6,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,7,9,4,6,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,8,4,7,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,6,9,4,7,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,6,9,4,8,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,8,4,7,2,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,5,9,4,7,2,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,5,9,4,8,2,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,10,5,9,4,8,2,7,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,3,6,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,7,9,3,6,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,8,3,7,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,6,9,3,7,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,6,9,3,8,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,8,3,7,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,5,9,3,7,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,5,9,3,8,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,10,5,9,3,8,2,7,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,4,8,3,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,4,9,3,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,4,9,3,8,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,10,4,9,3,8,2,7,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,7,9,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,7,9,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,7,10,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,8,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,6,8,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,6,9,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,6,9,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,6,10,5,7,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,10,6,9,5,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,7,11,6,9,5,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,7,11,6,10,5,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,6,10,5,9,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,7,8,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,7,9,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,7,9,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,7,10,4,6,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,8,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,6,8,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,6,9,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,6,9,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,6,10,4,7,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,10,6,9,4,8,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,7,11,6,9,4,8,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,7,11,6,10,4,8,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,6,10,4,9,3,5,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,8,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,5,8,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,5,9,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,5,9,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,5,10,4,7,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,10,5,9,4,8,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,7,11,5,9,4,8,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,7,11,5,10,4,8,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,5,10,4,9,3,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,6,10,5,9,4,8,3,7,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,6,11,5,9,4,8,3,7,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,6,11,5,10,4,8,3,7,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,6,11,5,10,4,9,3,7,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,12,6,11,5,10,4,9,3,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,7,8,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,7,9,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,7,9,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,7,10,5,6,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,8,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,6,8,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,6,9,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,6,9,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,6,10,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,10,6,9,5,8,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,7,11,6,9,5,8,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,7,11,6,10,5,8,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,6,10,5,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,7,8,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,7,9,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,7,9,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,7,10,4,6,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,8,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,6,8,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,6,9,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,6,9,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,6,10,4,7,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,10,6,9,4,8,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,7,11,6,9,4,8,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,7,11,6,10,4,8,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,6,10,4,9,2,5,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,8,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,5,8,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,5,9,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,5,9,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,5,10,4,7,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,10,5,9,4,8,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,7,11,5,9,4,8,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,7,11,5,10,4,8,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,5,10,4,9,2,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,6,10,5,9,4,8,2,7,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,6,11,5,9,4,8,2,7,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,6,11,5,10,4,8,2,7,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,6,11,5,10,4,9,2,7,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,12,6,11,5,10,4,9,2,8,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,7,8,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,7,9,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,7,9,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,7,10,3,6,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,8,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,6,8,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,6,9,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,6,9,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,6,10,3,7,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,10,6,9,3,8,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,7,11,6,9,3,8,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,7,11,6,10,3,8,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,6,10,3,9,2,5,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,8,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,5,8,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,5,9,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,5,9,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,5,10,3,7,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,10,5,9,3,8,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,7,11,5,9,3,8,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,7,11,5,10,3,8,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,5,10,3,9,2,6,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,6,10,5,9,3,8,2,7,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,6,11,5,9,3,8,2,7,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,6,11,5,10,3,8,2,7,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,6,11,5,10,3,9,2,7,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,12,6,11,5,10,3,9,2,8,1,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,4,8,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,9,11,4,8,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,10,4,9,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,8,11,4,9,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,8,11,4,10,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,10,4,9,3,8,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,7,11,4,9,3,8,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,7,11,4,10,3,8,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,4,10,3,9,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,6,10,4,9,3,8,2,7,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,6,11,4,9,3,8,2,7,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,6,11,4,10,3,8,2,7,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,6,11,4,10,3,9,2,7,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,12,6,11,4,10,3,9,2,8,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,10,4,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,12,5,11,4,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,12,5,11,4,10,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,5,11,4,10,3,9,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,12,5,11,4,10,3,9,2,8,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[6,12,5,11,4,10,3,9,2,8,1,7]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[2,1,8,6,3,5,4,7]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,3,5,8,6,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,2,1,8,3,6,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,3,5,7,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,3,1,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,5,7,8,4,6]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,1,7,3,6,8,4,5]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,3,1,5,6,8,4]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,1,6,8,3]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,3,5,7,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,3,7,4,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,3,5,7,4,6]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,2,1,5,6,8,4,7]=>[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,1,6,3,5,8,4,7]=>[2,1,7,4,5,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,2,4,1,7,5,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,6,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,3,5,4,6]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,3,5,4,7]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,7,5,3,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,8,5,3,6]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,1,6,3,7]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,8,3,5,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,3,5,6,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,6,4,5,7]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,2,1,6,8,4,5,7]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,1,8,3,7,4,5,6]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,3,6,7,4,5]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,8,5,1,6,7,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,6,8,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,5,7,2,4,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,2,4,7,3]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,7,8,3,6,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,5,4,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,3,7,6,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,7,4,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,8,4,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,2,4,5,7]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,8,6,2,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,4,5,6,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,3,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,1,7,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,7,4,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,6,4,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,9,8,7,6,5,4,1,3]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,8,7,6,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,2,5,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,6,3,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,3,6,5,2,7]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,6,5,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,2,1,6,5,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,1,4,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,3,5,2,6,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,6,3,4,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,2,4,6,8,5]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,5,2,8,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,7,1,5,8,6]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,4,8,6,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,4,3,6,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,8,2,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,6,3,7,5]=>[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,3,2,6,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,3,2,7,6,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,7,6,5,8,3]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,7,8,5,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,3,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,1,4,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[7,6,1,3,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,1,5,4,7]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,5,1,4,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,8,2,5,7]=>[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,8,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,4,6,3,7]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,2,3,5,7,6]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,2,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,8,4,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,4,1,3,6]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,2,1,4,6]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,3,1,4,6]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,8,1,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,3,1,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,8,1,3,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,2,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,8,1,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,8,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,6,7,8,9,10,2,3]=>[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[4,2,7,1,5,3,8,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,1,5,3,7]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,1,5,8,6,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,3,5,8,6,4]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,4,7,1,5,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,4,8,2,7,5,6]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,4,8,2,6,7,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,2,5,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,1,5,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,7,5,8,2,4]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,6,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,1,5,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,3,5,7,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,3,5,7,4,6]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,2,5,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,5,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,2,8,1,5,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,7,5,3,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,1,2,6,3,4,7]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,4,8,3,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,1,7,8,5,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,1,5,6,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,5,6,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,6,7,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,5,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,8,1,6,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,8,1,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,5,1,4,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,5,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,1,5,7,3]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,4,1,5,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,5,8,1,4,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,6,1,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,7,1,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,3,5,8,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,4,1,6,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,1,3,7,5]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,4,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,1,8,7,3]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,8,5,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,6,5,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,1,2,4,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,1,2,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,1,3,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,3,4,5,1,8,6]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,4,3,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,1,8,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,1,6,2,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,1,7,3,6]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,1,7,8,5]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,6,5,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,2,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,8,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,8,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,4,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,4,1,7,8,3]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,4,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,1,8,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,1,3,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,2,8,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,1,5,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,6,1,4,2,5,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,4,5,7,8,1,3]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,6,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,2,8,7,5]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,1,8,7,3]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,7,5,1,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,7,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,7,2,4,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,7,4,6,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,6,7,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,8,6,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,8,5,2,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,7,8,3,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,4,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,7,6,8,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,5,6,7,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,5,2,4,7]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,4,5,1,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,5,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,7,5,3,6]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,8,3,7,5,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,6,8,2,4,1,5,7]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,7,5,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,5,1,7,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,5,3,6,7]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,6,4,3,7]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,3,6,4,7]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,8,5,3,6,7,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,6,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,5,7,6,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,5,6,2,7]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,8,5,6,3,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,5,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,5,8,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,5,8,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,8,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,5,7,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,3,5,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,4,5,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,8,5,3,1,6,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,8,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,10,7,5,8,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,5,9,8,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,8,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,6,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,5,7,3,6,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,7,9,5,8,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,9,6,8,3,5,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,9,5,7,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,8,4,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,5,7,4,6,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,9,6,7,3,5,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,3,5,2,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,9,6,7,4,5,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,4,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,7,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,3,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,2,5,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,3,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,5,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,8,5,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,6,1,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,2,3,7,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,6,3,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,5,6,4,3,7]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,8,5,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,5,3,7,6,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,4,6,7,8,3]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,5,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,3,2,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,1,7,8,5]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,1,6,7,8,4]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,1,6,7,8,4]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,2,6,7,8,4]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,6,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,6,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,5,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,6,2,3,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,4,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,3,5,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,2,6,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,2,3,6,8,5]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,3,7,6,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,1,5,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,5,6,4,3,7]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,6,4,2,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,2,5,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,5,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,4,6,7,8,3]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,3,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,3,7,2,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,3,2,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,4,7,8,6]=>[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[7,1,4,3,5,2,8,6]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,4,7,2,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,1,4,7,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,4,3,7,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,3,8,7,5,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,3,8,6,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,5,7,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,8,4,6,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,4,8,3,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,5,3,8,4]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,6,5,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,3,2,6,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,8,6,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,4,2,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,5,1,4,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,1,4,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,6,2,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,2,8,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,6,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,7,6,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,7,6,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,6,3,7,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,3,2,7,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,7,4,8,2,5]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,3,7,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,7,3,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,7,3,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,3,2,5,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,2,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,3,4,5,2,6,7]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,2,5,3,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,8,4,1,5,7,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,5,4,6,7]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,5,3,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,8,4,3,7,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,4,2,5,8,6]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,4,3,5,6,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,5,3,6,8,2,7]=>[7,2,4,3,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,3,2,7,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,1,8,7,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,1,8,7,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,2,8,6,4,7]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,2,1,7,8,6,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,1,4,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,6,2,8,5,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,3,2,1,8,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,3,1,2,4,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,2,3,6,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,5,4,7,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,6,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,2,5,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,1,5,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,1,4,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,3,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,5,4,1,3,6,2,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,5,4,6,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,5,2,7,4,6,8,9]=>[4,2,6,1,7,3,5,8,9]=>[6,4,7,2,5,1,3,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[6,8,2,4,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,5,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,7,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,1,2,4,7,3,6]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,5,2,7,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,2,3,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,3,4,7,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,2,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,5,7,2,6]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,7,1,6,8,3]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,5,8,2,7]=>[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,5,7,3,6]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,6,2,7,3]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,8,5,6,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,7,4,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,1,8,5,2,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,1,5,3,6]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,5,1,4,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,3,8,5,2,4,6]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,7,8,5,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,7,8,5,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,9,1,2,3]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,9,2,3,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,2,3,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,3,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,2,3,4,5,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,3,4,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,3,4,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,4,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,6,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,5,6,3,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,5,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,4,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,10,2,3,4,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,10,3,4,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,10,3,4,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,3,4,5,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,3,4,5,6,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,6,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,5,6,3,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,7,2,3,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,7,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,7,3,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,7,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,6,7,4,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,6,7,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,6,3,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,3,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,1,5,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,1,6,5,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,7,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,6,5,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,8,7,6,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,1,8,6,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,1,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,8,6,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,8,7,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,5,3,1,10,8,6,4,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,5,3,1,10,9,6,4,2]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,5,3,1,10,8,7,4,2]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,5,3,1,10,9,7,4,2]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,4,3,1,10,8,6,5,2]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,4,3,1,10,9,6,5,2]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,4,3,1,10,8,7,5,2]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,4,3,1,10,9,7,5,2]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,2,1,10,8,6,4,3]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,5,2,1,10,9,6,4,3]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,5,2,1,10,8,7,4,3]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,5,2,1,10,9,7,4,3]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,4,2,1,10,8,6,5,3]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,4,2,1,10,9,6,5,3]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,4,2,1,10,8,7,5,3]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,4,2,1,10,9,7,5,3]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,5,3,1,12,11,8,6,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,7,5,3,1,12,10,9,6,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,5,3,1,12,11,9,6,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,6,5,3,1,12,10,8,7,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,5,3,1,12,11,8,7,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,6,5,3,1,12,10,9,7,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,5,3,1,12,11,9,7,4,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,1,12,11,10,9,4,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,4,3,1,12,10,8,6,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,4,3,1,12,11,8,6,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,7,4,3,1,12,10,9,6,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,4,3,1,12,11,9,6,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,6,4,3,1,12,10,8,7,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,4,3,1,12,11,8,7,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,6,4,3,1,12,10,9,7,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,3,1,12,11,9,7,5,2]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,4,3,1,12,11,10,9,5,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,5,4,3,1,12,11,10,9,6,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,6,5,4,3,1,12,10,9,8,7,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,6,5,4,3,1,12,11,9,8,7,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,6,5,4,3,1,12,11,10,8,7,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,1,12,11,10,9,7,2]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,2,1,12,10,8,6,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,5,2,1,12,11,8,6,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,7,5,2,1,12,10,9,6,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,5,2,1,12,11,9,6,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,6,5,2,1,12,10,8,7,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,5,2,1,12,11,8,7,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,6,5,2,1,12,10,9,7,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,5,2,1,12,11,9,7,4,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,2,1,12,11,10,9,4,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,4,2,1,12,10,8,6,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,4,2,1,12,11,8,6,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,7,4,2,1,12,10,9,6,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,4,2,1,12,11,9,6,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,6,4,2,1,12,10,8,7,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,4,2,1,12,11,8,7,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,6,4,2,1,12,10,9,7,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,2,1,12,11,9,7,5,3]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,4,2,1,12,11,10,9,5,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,5,4,2,1,12,11,10,9,6,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,6,5,4,2,1,12,10,9,8,7,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,6,5,4,2,1,12,11,9,8,7,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,6,5,4,2,1,12,11,10,8,7,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,6,5,4,2,1,12,11,10,9,7,3]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,3,2,1,12,11,10,9,5,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,5,3,2,1,12,11,10,9,6,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,6,5,3,2,1,12,10,9,8,7,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,6,5,3,2,1,12,11,9,8,7,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,6,5,3,2,1,12,11,10,8,7,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,6,5,3,2,1,12,11,10,9,7,4]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,4,3,2,1,12,10,8,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,4,3,2,1,12,11,8,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,4,3,2,1,12,10,9,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,4,3,2,1,12,11,9,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,8,4,3,2,1,12,11,10,7,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,7,4,3,2,1,12,10,9,8,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,7,4,3,2,1,12,11,9,8,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,7,4,3,2,1,12,11,10,8,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,4,3,2,1,12,11,10,9,6,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,6,4,3,2,1,12,10,9,8,7,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,6,4,3,2,1,12,11,9,8,7,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,6,4,3,2,1,12,11,10,8,7,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,6,4,3,2,1,12,11,10,9,7,5]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[6,1,4,2,3,5,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,6,1,4,2,3,5,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,2,3,5,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,3,6,5,7]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,3,6,5,7]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,6,1,4,5,7]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,1,4,5,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,3,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,6,4,1,5,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,6,2,1,5,7]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,4,1,5,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,6,1,5,7]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,8,1,5,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,4,1,5,7]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,2,1,5,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,1,4,5,7]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,1,4,5,7]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,2,1,5,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,4,1,5,7]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,4,1,5,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,1,4,5,7]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,3,8,4,5,7]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,6,4,5,7]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,4,1,5,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,8,1,5,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,2,7,5,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,2,5,6,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,8,5,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,4,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,5,3,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,1,5,3,6,2,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,2,4,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,4,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,5,8,2,7,4]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,8,7,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,4,7,6,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,2,4,5,8,6,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,7,5,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,3,7,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,2,3,7,8,1,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,4,5,1,8,6]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,4,1,7,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,1,2,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,9,10,2,3,4,5]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,1,8,9,10,2,3,4,5]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,1,9,10,2,3,4,5]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,1,2,3,4,10,5]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,1,2,3,10,4,5]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,1,2,10,3,4,5]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,1,10,2,3,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,8,6,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,3,5,4,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,8,2,5,7,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,3,5,4,7]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,5,8,7,2]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,3,5,8,7,4]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,3,8,5,7,6]=>[3,4,1,2,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,6,1,3,5,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,5,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,3,5,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,3,5,7,8]=>[5,3,2,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,2,1,8,3,5,7,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,3,8,5,7,4]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,8,5,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,6,5,7,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,6,5,7,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,6,5,7,4]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,3,5,7,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,4,3,5,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[8,2,4,1,3,5,7,6]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,3,5,7,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,8,3,5,7,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,1,8,3,5,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,3,5,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,3,5,7,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,3,5,7,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,3,5,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,3,5,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,3,5,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,3,8,5,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,3,5,7,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,1,3,6,8,5,7,2]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,6,8,5,7,2]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,3,8,6,5,7,2]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,6,5,7,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,1,4,3,5,7,8]=>[3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,8,1,4,3,5,7,6]=>[3,8,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,3,5,7,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,6,5,7,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,8,6,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,3,5,7,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,3,5,7,6]=>[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,3,5,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,8,1,4,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,4,3,5,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,3,5,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,3,5,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,1,3,5,7,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,3,5,7,6]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,8,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,4,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,1,4,6,3,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,1,7,8,3,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,5,3,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,4,6,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,5,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,6,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,6,3,2,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,4,6,2,7]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,6,1,5,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,4,2,5,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,4,2,5,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,4,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,2,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[6,8,3,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,7,3,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,5,3,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,4,7,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,4,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,1,4,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,3,1,4,2,7,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,4,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,5,4,2,6,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,1,5,4,2,7,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,4,8,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,2,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,7,1,5,4,2,8,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,4,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,4,5,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,4,5,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,4,5,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,4,2,6,7]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,3,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,4,6,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,5,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,5,7,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,6,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,4,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,2,4,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,3,2,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,3,5,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,4,3,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,2,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,4,6,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,5,4,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,4,7,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,5,7,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,5,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,8,4,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,6,8,5,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,7,6,5,4,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,7,4,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,8,7,6,5,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,6,2,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,3,5,7,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,5,8,6,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,5,6,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,5,8,4,3,7]=>[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,8,7,4,5,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,3,1,6,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,3,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,8,6,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,3,8,7,4,5]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,5,1,7,4,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,7,1,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,4,1,7,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,1,7,5,6]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,1,7,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,2,1,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,4,8,1,5,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,4,1,6,7,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,1,5,6,2]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,6,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,1,3,7,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,1,3,7,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,3,1,4,7,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,8,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,4,1,8,6,7]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,3,6,4,8,1,5,7]=>[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,3,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,8,6,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,1,5,4,7]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,1,4,7,8,3]=>[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,8,5,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,6,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,8,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,8,5,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,7,6,1,5,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,8,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,5,2,7,3,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,5,8,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,6,8,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,7,1,6,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,5,2,6,3,7]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,8,5,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,5,8,1,7]=>[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,5,1,8,6]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,5,1,6,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,7,1,6,5,8]=>[5,2,3,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,4,7,1,6,8,5]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,1,8,7,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,5,2,3,6,7]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,8,5,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,6,3,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,8,3,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,8,3,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,6,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,6,3,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,5,3,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,4,6,2,7]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,4,3,5,7]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,4,3,5,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,4,5,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,4,5,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,4,3,6,7]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,5,2,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,1,5,4,7]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,4,3,5,7]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,6,1,4,7]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,5,1,4,8,6]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,2,3,4,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,8,6,3,7]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,8,2,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,8,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,6,1,4,7,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,6,3,4,7,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,3,6,4,7,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,6,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,5,7,4,6]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,1,4,7,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,3,8,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,1,4,8,5]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,2,5,8,4,6]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,3,5,8,4,6]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,8,1,3,6,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,5,7,4,6]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,5,8,4,6]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,7,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,1,4,8,5]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,1,4,7,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,5,4,6,7]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[8,6,5,1,3,4,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,6,1,8,5,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,7,1,8,4]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,7,5,1,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,3,4,7,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,7,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,5,6,1,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,3,8,4,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,7,2,6,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,5,7,4,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,4,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,1,7,3,4,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,7,3,4,2,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,6,5,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,2,3,8,7,5,1,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,6,5,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,7,8,5,1,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,2,3,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,7,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,7,8,1,5,6]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,7,1,5,6]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,4,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,7,1,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,4,8,1,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,4,2,3,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,7,5,1,6,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,5,8,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,7,1,6,5,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,7,1,5,8,6,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,7,6,1,5,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,6,8,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,6,1,5,7,8]=>[5,2,3,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,7,8,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,5,4,2,8,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,4,6,3,7]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,1,8,5,2,3,6,7]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,6,3,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,5,3,4,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,8,1,5,4,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,8,4,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,5,4,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,5,4,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,2,1,5,3,4,7]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,7,5,3,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,2,8,6,4,5]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,8,3,4,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,6,3,8,5]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,5,3,4,6]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,5,3,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,2,1,8,5,3,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,4,5,3,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,6,5,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,4,5,6,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,7,5,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,8,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,5,6,4,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,8,1,6,5,3,7]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,1,8,5,3,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,4,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,3,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,4,3,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,4,6,7,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,4,5,3,7]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,4,5,3,7]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,1,5,3,4,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,6,1,5,3,4,7]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,5,8,3,4,6]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,4,5,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,7,4,6,8,2]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,4,5,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,6,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,6,5,8,7,2]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,6,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,1,4,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,2,8,4,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,1,3,6,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,4,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,5,2,8,7,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[1,6,4,5,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,4,5,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,4,5,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,8,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,6,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,4,8,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,4,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,6,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,1,5,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,6,7,2,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,4,3,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,3,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,8,2,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,6,1,5,7]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,5,6,7,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,5,6,7,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,6,7,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,5,6,7,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,3,6,2,5,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,4,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,5,7,6,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,6,8,7,5,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,2,7,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,6,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,5,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,6,1,8,2,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,5,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,3,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,5,2,1,7,4,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,8,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,8,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,5,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,8,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,4,3,6,5,8]=>[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,7,2,5,6,8,1]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,7,1,4,2,6,8,5]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,6,2,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,3,7,1,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,5,7,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,2,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,4,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,8,3,4,7]=>[4,7,6,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,3,1,6,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,10,1,2,3,4,5,6,7,9]=>[9,10,3,4,5,6,7,8,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,2,4,3,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,3,4,8,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,5,7,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,7,8,5,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,3,4,5,7]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,4,5,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,4,7,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,1,6,3,7,5,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,1,6,3,7,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,7,3,8,6,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[5,8,1,7,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,4,3,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,3,5,6,7]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[7,3,2,4,8,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,3,8,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,7,3,5,6,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,7,5,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,7,5,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,2,6,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,2,6,8,1,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,1,7,3,6,5,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,1,7,3,6,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,3,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,8,1,7,3,6,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,3,7,6,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,1,3,6,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,4,7,8,3]=>[3,8,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,4,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,4,1,5,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,8,3,4,6]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,5,6,1,4,8,3,7]=>[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,4,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,4,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,4,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,8,4,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,4,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,2,6,1,5,7,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,2,6,3,7]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,2,3,4,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[8,3,1,4,6,2,5,7]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,2,6,4,7]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,2,8,4,7,6]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,6,7,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,4,7,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,4,6,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,5,4,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,5,1,6,2,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,3,6,5,8,1,4]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,3,6,5,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,2,6,4,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,2,6,4,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,8,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,4,3,7,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,7,2,4,6,5]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,2,5,4,6]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,4,7,3,2,5,6]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,3,2,5,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,3,5,6,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,1,4,7,3,5,6]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,4,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,2,7,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,4,5,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,3,4,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,2,6,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,2,3,6,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,3,6,5,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,8,2,6,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,2,5,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,8,2,7,4]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,2,3,6,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,3,4,8,6]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,2,8,3,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,8,5,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,3,6,4,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,8,1,2,7,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,2,3,7,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,2,3,7,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,2,7,3,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,5,3,8,7,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,3,6,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,2,7,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,2,7,3,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,2,5,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,2,8,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,2,8,3,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,3,7,8,4]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,3,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,6,5,1,2,3,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,3,7,4,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,6,4,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,2,5,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,5,1,7,6]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,4,2,7,5,6]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,3,4,1,6,7,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,6,1,7,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,3,1,6,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,5,7,2,4,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,3,6,2,4,7,5]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,7,5,4,6]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,1,8,2,5,6,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,1,6,7,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,1,4,7,3]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,4,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,2,5,7,4,6]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,7,1,6,4,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,5,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,2,7,3,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,5,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,5,4,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[8,2,3,1,4,5,7,6]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,2,4,7,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,2,6,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,1,4,5,3,7,8]=>[3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,6,4,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,5,6,1,3,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,5,7,1,2,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,1,4,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,1,2,4,3,7,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,5,3,6,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,2,5,7,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,2,8,4,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,5,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,7,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,2,6,5,7,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,2,5,7,6]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,3,2,5,7,6]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,2,6,7,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,2,3,5,7,6]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,7,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,2,8,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,8,3,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,3,2,7,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,8,6,2,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,2,1,5,7]=>[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,6,1,4,7]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,2,1,6,8,3,4,7]=>[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,6,3,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,7,8,2,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,5,4,8,2,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,7,3,8,6,2]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,3,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,6,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,1,7,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,8,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,7,3,8,5]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,6,7,8,4,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,2,8,4,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,3,4,8,5]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,7,3,8,4,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,1,4,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,4,2,5,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,1,8,3,5,6]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,6,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,7,1,8,5,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,8,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,8,5,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,8,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,8,2,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,6,1,7,8,4,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,7,8,4,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,8,5,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,4,6,3,5,7]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,8,3,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,5,3,6,2,7]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,3,4,7,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,4,6,3,7,5]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,4,6,7,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,8,1,2,4,7,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,4,6,2,8,5]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,5,2,6,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,2,7,1,3,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,5,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,1,6,8,3]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,4,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,7,8,2,5,6]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,6,7,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,4,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,2,8,6,4,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,2,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,3,8,5,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,8,1,7,4]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,2,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,2,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,8,7,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,4,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,6,4,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,8,7,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,3,6,2,5,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,3,5,1,2,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,4,8,3,7,2,6,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,4,7,3,6,1,2,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,2,4,6,1,3,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,4,6,1,2,3,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,9,4,8,3,7,1,2,6]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,5,8,2,4,7,1,3,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,5,8,4,7,1,2,3,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,3,5,7,1,2,4,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,5,7,1,2,3,4,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,9,3,5,8,1,2,4,7]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,9,5,8,1,2,3,4,7]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,8,1,2,3,4,5,7]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,7,9,1,2,3,4,6,8]=>[7,8,9,4,5,6,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,1,2,3,4,5,6,8]=>[8,9,3,4,5,6,7,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,3,6,2,5,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,3,5,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,4,8,3,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,4,7,3,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,2,4,6,1,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,4,6,1,2,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,5,9,4,8,3,7,1,2,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,5,8,2,4,7,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,5,8,4,7,1,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,3,5,7,1,2,4,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,5,7,1,2,3,4,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,10,5,9,2,4,8,1,3,7]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,10,5,9,4,8,1,2,3,7]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,9,3,5,8,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,9,5,8,1,2,3,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,4,6,8,1,2,3,5,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,8,1,2,3,4,5,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,2,4,6,9,1,3,5,8]=>[9,10,7,8,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,10,4,6,9,1,2,3,5,8]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,6,8,10,1,2,3,5,7,9]=>[7,8,9,10,5,6,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,2,5,6,3,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,4,7,6,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,8,1,5,7]=>[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,4,7,8,5,1]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,5,8,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,5,3,7,6]=>[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,6,2,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,3,4,5,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,5,7,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,7,6,1,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,6,7,3,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,7,4,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,3,5,2,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,4,2,5,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,4,5,7,6]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,6,2,4,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,5,7,1,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,5,1,8,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,7,5,8,6,1]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,2,8,1,4,6,5,7]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,4,7,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,4,7,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,3,2,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,3,2,7,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,3,2,6,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,2,1,3,6,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,2,3,7,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,2,3,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,1,3,7,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,4,7,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,5,8,3,7,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,3,8,7,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,2,4,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,2,5,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,4,8,7,1,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,4,2,3,8,7,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,1,3,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,5,3,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,4,8,7,2,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,5,8,7,2,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,8,2,7,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,3,7,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,3,4,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,3,2,4,8,7,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,2,1,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,2,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,5,8,7,1,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,1,4,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,2,1,3,4,8,7,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,2,3,4,8,7,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[8,6,2,5,4,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,3,4,5,7]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,6,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,1,3,5,4,7]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,4,6,5,7]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,6,5,8,4,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,7,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,8,2,1,4,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,6,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,7,1,6,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,7,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,2,1,7,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,2,6,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,2,8,4,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,6,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,3,8,4,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,8,5,3,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,7,5,6,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,8,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,4,8,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,3,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,4,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,3,5,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,2,4,7,5,6]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,3,2,5,7,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,7,8,5,6,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,6,4,5,7]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,4,5,7,6]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,2,1,5,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,5,4,1,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,5,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,4,1,3,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,5,4,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,3,2,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,7,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,8,3,7,6,2]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,3,6,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,3,8,7,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,7,4,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,4,2,8,5]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,7,5,6,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,6,1,2,7,5,8,4]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,4,8,7,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,4,6,1,8,5]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,8,1,4,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,1,7,6,3]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,7,6,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,3,8,7,5,4]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,7,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,8,7,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,1,6,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,3,6,5,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,7,6,5,4,3,2,1,9,8]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,5,4,3,2,8,1,7]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,5,4,3,2,1,8,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,5,4,3,7,2,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,2,9,7,1]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,2,10,9,1]=>[10,7,6,5,4,3,2,9,8,1]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,3,1,4,8,2,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,5,8,3,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,2,4,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,3,2,8,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,3,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,2,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,3,7,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,3,8,5,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,4,5,7,2,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,7,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,8,4,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,4,2,8,5,6]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,1,3,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,8,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,6,5,4,7]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,3,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,3,6,1,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,1,2,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,7,1,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,4,5,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,2,4,6,5,8]=>[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,2,7,4,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,6,5,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,8,5,7,1]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,7,5,8,3,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,4,1,2,5,8,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,6,8,5,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,1,8,5,2,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,7,1,6,8,2,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,6,5,2,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,7,4,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,3,5,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,2,6,5,7]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,6,2,5,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,7,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,6,8,5,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,6,5,8,1]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,1,6,7,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,4,6,7,5]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,1,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,8,7,3,4,5,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,6,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,1,5,2,6,4,7]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,6,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,7,6,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,5,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,4,6,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,1,2,6,8,3]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,3,6,8,2]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,6,2,5,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,4,8,5,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,5,4,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,2,3,5,4,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,2,5,3,4,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,8,5,1,2,4,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,8,2,6,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,3,5,6,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,2,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,2,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,4,2,7,3]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,2,6,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,4,2,6,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,2,5,7,6]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,4,5,3,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,2,5,4,7]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,4,2,6,7]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,4,2,6,7]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,2,3,7,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,3,2,6,7]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,5,2,6,7]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,5,4,7,8]=>[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,3,2,1,5,4,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,3,1,4,5,2,6,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,1,5,4,2,6,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,1,6,2,5,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,4,5,2,6,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,1,5,4,7,8]=>[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,5,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[6,3,4,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,2,5,1,3,7,4,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,1,3,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,1,2,4,5,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,1,2,8,3,5,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,5,4,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,2,1,3,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,6,1,3,7,4,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,1,3,5,2,6,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,1,5,3,2,6,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,4,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,6,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,5,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,3,6,1,2,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,1,8,7,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,7,8,4,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,1,6,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,3,8,4,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,1,7,8,5,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,7,1,5,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,5,6,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,2,6,7,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,5,6,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,5,6,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,5,8,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,2,6,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,3,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,3,4,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,5,3,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,3,4,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,1,2,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,5,2,7,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,5,2,7,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,2,6,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,5,1,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,4,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,1,3,7,5]=>[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,4,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,1,7,6,3,8,2,5]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,1,5,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,3,5,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,7,5,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,5,3,4,7]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,8,3,4,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,2,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,5,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,6,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,7,6,3,5]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,4,6,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,6,7,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,3,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,6,7,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,6,7,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,8,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,8,6,7,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,5,3,8,7,4]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,5,2,7,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,5,2,6,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,4,2,5,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,5,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,1,5,8,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,4,1,7,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,6,7,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,6,7,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,6,7,3,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,6,7,3,5]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,6,7,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,6,7,2,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,6,7,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,8,5,1,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,4,6,1,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,6,2,5,4,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,5,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,2,8,7,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,4,3,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,7,3,5,1,4,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,3,8,5,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,4,3,8,6,5]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,1,4,3,8,2,7,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,2,8,7,4,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,2,6,5,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,4,8,3,7,2,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,1,5,7,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,7,2,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,6,1,5,2,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,4,8,3,2,7,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,6,1,2,5,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,7,1,3,2,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,4,8,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,2,6,8,4,7,3]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,2,3,8,1,4,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,5,8,6,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,1,2,8,4,7,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,2,8,6,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,5,8,6,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,2,7,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,2,6,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,7,3,6,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,2,4,7,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,6,2,5,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,1,8,7,3,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,7,2,4,6]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,3,7,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,8,6,3,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,5,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,6,5,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,7,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,8,4,7,3,6]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,8,5,7,3,6]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,7,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,6,2,3,4,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,6,2,4,3,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,8,5,6,3,7]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,8,4,6,3,7]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,2,4,5,3,6,7]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,10,5,6,7,8,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,9,6,7,10,3,4,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,3,4,5,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,3,6,7,4,5,8,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,9,6,7,4,5,10,1,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,7,8,9,4,5,10,1,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,3,4,5,6,7,8,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,9,4,5,6,7,10,1,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,5,6,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,9,6,7,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,1,4,5,2,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,4,5,2,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,6,7,4,5,2,3,8]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,4,5,6,7,2,3,8]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,6,7,2,3,4,5,8]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,9,10,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,11,8,9,12,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,11,12,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,6,7,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,5,6,7,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,8,9,6,7,10,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,6,7,8,9,10,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,7,8,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,9,10,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,11,8,9,12,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,11,12,3,4,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,3,6,7,4,5,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,3,6,7,4,5,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,3,8,9,6,7,4,5,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,3,6,7,8,9,4,5,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,3,4,5,6,7,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,3,4,5,6,7,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,3,8,9,4,5,6,7,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,3,4,7,8,5,6,9,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,7,8,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,9,10,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,11,8,9,12,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,11,12,5,6,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,6,7,8,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,5,6,7,8,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,8,9,6,7,10,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,6,7,8,9,10,1,2,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,7,8,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,9,10,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,11,8,9,12,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,11,12,1,4,5,2,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,7,8,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,9,10,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,11,8,9,12,1,2,3,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,6,4,7,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,3,5,8,2,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,6,2,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,3,6,1,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,4,5,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,7,4,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,7,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,5,8,2,6]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,8,2,3,4,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,8,2,4,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,2,3,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,8,4,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,4,8,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,4,8,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,8,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,1,7,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,2,7,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,8,6,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,1,3,8,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,3,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,2,3,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,7,2,3,5,6]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,7,2,3,4,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,1,8,2,3,4,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,8,2,4,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,7,3,4,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,2,3,5,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,2,3,4,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[9,8,7,6,4,5,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,7,6,4,3,5,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,6,3,5,4,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,9,8,7,5,4,6,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,8,7,3,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,9,8,7,4,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,7,5,6,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[7,1,5,8,3,4,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,3,2,5,6,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,3,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,5,8,3,6]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,5,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,4,6,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,3,8,2,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,3,2,5,8,6]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,5,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,5,3,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,5,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,6,8,2,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,6,8,5,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,5,3,6,8]=>[3,6,1,7,5,2,4,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,1,7,8,6,2,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,2,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,6,5,1,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,3,2,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,3,5,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,2,6,5,7]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,6,2,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,1,6,2,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,6,5,8,1]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,2,6,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,3,4,2,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,3,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,3,4,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,3,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,8,7,4,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,6,1,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,3,2,1,6,4,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,8,2,1,6,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,8,6,1,4,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,5,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,3,1,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,3,1,5,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,4,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,5,8,6,3,7]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,5,8,6,7,3]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,5,8,7,6,3]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,5,7,8,6,2]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,7,5,8,6,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,4,8,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,5,7,8,2,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,5,4,6,7]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,5,7,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,2,7,1,8,4,3,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,8,4,3,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,8,4,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,3,1,6,7,8,5,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,8,7,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,8,5,7,3]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,8,5,3,7]=>[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,8,4,3,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,8,7,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,8,7,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,8,3,4,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,6,8,3,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,6,7,8,2,5]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,5,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,7,8,6,3,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,4,6,5,7]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,4,7,6,5]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,1,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,2,1,7,8,3,6,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,8,3,6,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,8,3,5,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,8,3,4,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,7,8,3,5,6]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,5,2,8,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,8,2,5,6]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,4,5,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,1,5,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,4,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,7,4,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,4,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,7,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,8,6,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,4,2,1,5,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,6,4,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,5,4,1,7,8,6,3]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,1,6,3,7]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,5,4,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,5,4,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,2,1,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,5,7,8,6,3]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,1,8,4,3,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,6,4,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,2,1,8,5,6,3,7]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,5,6,3,7]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,2,1,8,5,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,1,8,5,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,2,1,5,7]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,4,3,7,8,5]=>[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,4,2,1,3,7,8,5]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,1,6,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,4,3,7,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,7,5,8,4,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,8,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,6,1,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[6,9,8,5,4,3,2,1,7]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,5,8,9,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,9,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,4,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,8,9,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,3,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,9,8,2,1,4]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,2,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,10,9,6,5,4,3,2,1,8]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,10,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[6,5,8,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,6,9,10,5,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,10,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[7,5,4,8,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[5,9,8,7,4,3,2,1,6]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,5,9,10,4,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,4,3,2,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,9,6,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,4,10,9,3,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,3,7,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,8,9,5,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,9,10,2,1,4]=>[10,9,8,5,4,6,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,3,2,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,2,9,8,4,1,3]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,1,10,9,2]=>[10,7,6,5,4,3,2,9,8,1]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,4,2,6,3,1,7,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,7,4,2,8,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,3,4,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,5,2,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,3,4,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,3,2,5,7,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,5,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,1,3,7,5,2,8,6]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,4,2,8,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,2,5,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,4,5,7,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,2,6,7,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,1,5,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,2,4,5,6,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,7,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,2,5,7,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,2,7,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,3,1,7,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,3,6,8,5]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,3,6,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,2,6,7,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,3,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,7,2,1,3,6,8,5]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,2,6,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,4,5,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,4,5,7,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,3,5,6,7,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,2,4,5,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,4,5,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,2,6,7,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,3,6,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,3,7,8,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,8,1,2,3,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,7,1,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,1,7,6,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,7,2,5,6]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,3,2,5,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,2,5,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,6,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,4,1,8,5]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,4,7,8,1,5]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,3,4,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,4,2,5,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,2,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[3,7,8,2,6,4,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,2,5,7,6]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,4,8,6,1,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,4,8,1,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,7,1,8,6,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,6,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,8,2,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,4,8,2,5,6]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,8,4,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,4,7,1,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,5,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,5,4,7,8,3]=>[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,6,3,7,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,3,1,4,2,5,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,2,3,6,7]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,2,3,6,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,1,8,4,3,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,4,3,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,8,7,2,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,5,8,3,7,4]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,5,4,8,6,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,7,5,2,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,6,7,8,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,6,3,7,8,2,5]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,8,2,7,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,6,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,8,7,2,5]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,4,3,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,8,5,2,3,7,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,3,7,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,4,3,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,5,7,6,8,2,4]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,6,2,8,4]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,2,6,8,4]=>[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,4,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,4,2,8,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,4,8,6,2]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,8,4,6,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,2,7,8,6,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,2,8,6,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,7,8,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,2,7,4,8,5]=>[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,1,6,2,8,7,4]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,7,4,3,8,5]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,3,5,2,8,6]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,5,2,4,8,6]=>[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,4,3,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,2,3,8,6,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,7,3,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,3,8,2,7,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,2,8,7,6,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,3,8,2,6,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,1,7,8,4,6,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,8,1,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,8,2,1,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,8,4,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,4,8,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,1,6,8,4,7,3]=>[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,7,8,3,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,8,7,1,3]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,2,8,7,5,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,3,8,7,2,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,4,3,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,2,4,8,6,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,3,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,8,2,5,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,3,8,6,2,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,4,7,8,6,1,3]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,2,8,6,5,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,6,8,2,4,3,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,3,1,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,5,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,1,5,6,7]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,6,8,1,5,7]=>[6,2,3,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,3,1,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,2,4,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,4,2,8,6,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,1,7,6,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,4,1,6,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,8,4,1,6,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,2,5,1,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,4,1,6,8,5]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,2,3,7,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,4,2,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,2,3,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,4,2,8,5]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,2,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,5,8,7,2]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,5,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,3,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,5,3,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,8,7,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,1,3,7,4]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,3,1,7,4]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,5,8,3,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,8,7,3,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,8,7,1,4]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,3,7,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,5,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,8,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,8,5,3,7,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,1,8,5,3,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,3,1,7,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,1,5,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,8,5,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,1,5,7,2]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,8,5,7,2]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,6,8,5,7,2]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,8,7,5,2]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,8,7,5,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,1,7,5,2]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,8,7,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,3,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,6,8,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,3,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,1,5,3,6]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,8,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,1,8,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,5,1,3,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,1,8,6,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,8,5,6,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,4,8,5,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,7,8,1,4]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,1,4,8,6,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,3,7,8,5,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,7,8,9,4,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,3,7,8,4,5,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,5,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,7,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,4,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,3,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,2,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,2,3,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,2,6,8,4,3,7]=>[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,2,8,4,3,6]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,2,1,8,6,4,7]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,2,1,5,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,2,7,4,3,6]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,2,3,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,3,5,7,6]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,3,2,1,4,5,8,6]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,4,6,8,5]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,4,8,7,5]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,4,6,7,5]=>[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,4,5,7,6]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,5,6,4,7]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,6,5,4,7]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,1,8,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,3,5,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,2,1,5,7]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,4,1,6,7]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,5,2,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,4,7,8,1,5,3,6]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,8,2,7,4,3,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,8,4,3,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,8,4,5,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,4,5,1,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,3,5,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,5,4,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,4,8,2,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,4,7,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,3,4,6,8,5]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,2,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,5,4,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,4,5,1,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,3,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,2,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,6,3,7,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,4,7,6,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,2,7,6,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,4,7,6,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,7,6,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,6,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,1,4,5,6,7,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,6,5,8,4]=>[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,1,7,2,6,5,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,6,5,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,5,7,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,5,7,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,5,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,7,5,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,5,2,7,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,1,6,8,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,2,6,8,5,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,2,6,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,1,2,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,1,3,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,4,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,6,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,3,5,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,7,2,6,5,1,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,6,1,5,7,2,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,8,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,1,2,5,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,5,7,8,2,4]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,8,5,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,3,2,5,1,4,8,6]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,3,6,8,5]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,3,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,1,2,4,7,6,5]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,2,5,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,7,8,6,2,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,6,7,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,5,3,8,4]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,6,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,5,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,4,7,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,6,5,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,3,6,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,1,2,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,3,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,8,7,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,7,5,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,3,7,6,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,7,6,1,5]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,8,4,7,2,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,3,7,6,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,8,4,3,7,6,5]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,8,4,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,3,2,7,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,3,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,8,4,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,6,5,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,6,2,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,3,6,1,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,3,2,6,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,7,5,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,4,8,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,8,7,6,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,8,7,2,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,7,2,6,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,8,2,7,6,3]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,5,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,8,3,2,7,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,8,3,2,7,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,1,4,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,8,2,5,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,8,6,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,4,8,6,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,3,8,6,5,4]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,8,7,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,4,8,7,1,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,2,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,3,8,5,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,2,8,6,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,3,8,6,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,4,3,8,6,5]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,3,2,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,3,2,8,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,2,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,3,4,2,6,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,8,3,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,5,4,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,8,5,3,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,7,5,3,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,3,6,8,4,5]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,8,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,2,6,1,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,8,5,3,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,6,5,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,1,5,6,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,7,5,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,8,2,6,5,3,7]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,8,5,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,4,8,6,7,2]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,1,6,7,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,1,5,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,3,2,5,1,4,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,6,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,4,7,6,8,2]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,7,5,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,3,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,7,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,9,7,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,10,9,8,7,6,5,4,1,3]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,2,8,7,6,5,4,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,9,8,7,6,5,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,2,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,6,5,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,1,7,6,5,4,3,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,3,8,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,9,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,1,10,8,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,5,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,3,2,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,5,3,2,4,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,3,2,4,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,5,2,3,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,5,2,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,5,2,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,1,5,4,3,7]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,1,4,3,7]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,7,4,3,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,5,4,3,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,5,2,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,1,3,4,6]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,5,4,3,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,7,4,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,3,2,6,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,3,2,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,5,7,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,5,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,8,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,8,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,7,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,3,2,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,3,2,5,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,1,2,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,3,2,4,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,3,6,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,6,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,4,6,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,7,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,7,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,2,7,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,3,1,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,3,2,6,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,1,2,6,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,1,3,6,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,1,3,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,1,2,6,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,6,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,1,5,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,8,1,4,7]=>[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,4,6,8,2,7]=>[7,2,4,3,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,2,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,7,2,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,7,2,6,8,1]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,7,8,2,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,4,6,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,1,3,6,8,2]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,1,5,8,2]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,7,4,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,3,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,3,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,3,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,7,4,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,8,1,3,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,2,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,1,7,8,4]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,6,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,6,1,7,8,4]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,3,7,8,4]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,3,5,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,8,1,4,6]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,4,8,1,5,6]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,6,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,4,6,8,2,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,4,6,8,1,5]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,5,6,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,1,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,6,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,4,1,2,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,2,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,7,8,2,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,2,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,1,3,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,6,1,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,1,6,3,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,1,6,2,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,1,6,2,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,1,8,3,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,1,6,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,4,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,8,1,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,5,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,2,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,2,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,7,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,5,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,3,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,5,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,8,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,5,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,1,8,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,6,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,6,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,1,7,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,8,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,5,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,5,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,5,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,8,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,1,4,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,4,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,1,4,2,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,1,4,2,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,2,8,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,2,6,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,5,7,3,8,4,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,2,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,8,3,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,4,6,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,6,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,8,6,7,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,5,3,4,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,3,4,7,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,4,6,8,5,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,4,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,6,7,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,7,8,6,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,6,7,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,6,3,5,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,5,8,1,7,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,3,1,5,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[7,6,8,1,3,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,2,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,8,5,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,5,6,8,4,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,6,8,5,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,7,8,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,7,8,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,6,3,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,4,3,2,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,2,1,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,5,7,8,3]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,3,5,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,3,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,8,6,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,8,6,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,7,5,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,3,7,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,8,7,1,4]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,7,6,1,3]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,6,1,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,6,2,8,7,5]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,3,6,1,8,7,4]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,7,2,5,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,2,8,7,4]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,2,8,7,6,3]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,8,6,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,7,2,8,6,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,3,2,8,7,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,6,1,4,3,8,7,5]=>[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,1,8,7,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,5,1,8,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,8,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,1,8,7,6,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,2,8,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,3,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,1,8,7,3]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,6,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,3,2,7,6,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,3,1,7,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,8,4,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,1,3,6,5]=>[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,3,7,6,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,4,7,6,5]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,7,2,8,6,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,1,7,4,8,6]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,2,8,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,8,6,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,8,7,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,3,8,7,5,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,3,8,7,6,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,1,2,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,8,7,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,8,6,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,2,8,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,3,7,6,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,3,7,6,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,3,7,5,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,4,5,8,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,6,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,7,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,1,4,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,5,1,3,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,2,6,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,3,7,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,6,8,5,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,8,6,3,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,7,3,6,5,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,2,7,4,3,6,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,5,4,3,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,4,6,5,7]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,7,1,5,6,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,3,8,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,1,4,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,7,2,1,5,4,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,2,8,4,6,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,5,8,6,7,3]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,3,8,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,1,8,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,1,8,5,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,1,2,8,3,7,4]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,3,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,7,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,1,7,6,4,3,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,4,1,8,5,7,3,6]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,7,6,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,8,5,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,5,8,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,1,6,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,4,5,8,3,7]=>[2,1,7,5,4,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,6,3,7,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,6,3,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,6,1,5,7]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,6,1,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,7,5,1,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,6,8,5,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,6,1,5,8,7]=>[5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,8,3,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,7,1,6,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,5,1,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,3,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,1,6,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,8,5,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,1,7,5,6]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,1,8,5,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,8,7,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,1,8,6,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,1,5,8,6]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,2,3,5,6,7]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,7,4,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,5,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,4,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,1,4,6,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,8,5,2,7,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,4,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,2,5,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,7,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,5,6,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,6,7,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,8,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,5,6,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,4,6,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,4,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,5,7,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,2,5,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,7,1,3,5,6,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,2,3,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,3,5,6,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,6,3,4,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,3,6,4,5]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,7,1,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,3,5,6,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,3,6,4,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,2,6,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,7,3,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,7,6,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,7,4,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,5,6,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,3,5,6,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,6,7,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,6,7,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,3,6,7,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,5,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,7,5,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,6,7,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,3,6,4,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,6,2,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,6,3,4,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,3,6,4,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,2,5,6,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,6,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,2,3,6,5,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,7,1,2,5,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,3,6,4,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,7,4,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,3,5,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,5,4,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,6,3,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,6,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,4,5,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,7,5,8,4,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,7,5,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,1,6,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,1,4,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,1,4,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,3,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,3,6,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,4,2,3,6,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,1,3,2,4,6,7]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,3,2,7,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,1,3,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,2,3,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,8,5,4,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[9,8,7,6,5,2,3,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,3,4,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,4,5,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,5,6,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,7,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,4,2,6,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,2,5,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,8,1,5,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,2,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,5,4,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,1,5,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,8,2,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,1,7,3,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,3,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,2,7,1,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,8,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,2,5,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,7,1,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,5,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,7,2,4,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,5,6,3,7]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,7,5,3,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,2,7,4,5]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,1,7,8,5]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,1,8,5,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,5,8,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,2,8,6,3,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,4,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,7,8,4,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,2,6,3,7]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,7,4,1,6,8,2]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,2,3,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,2,6,3,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,5,2,4,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,1,8,4,6,7]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,3,8,6,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,7,3,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,3,4,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,8,4,5,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,2,5,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,1,4,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,2,3,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,3,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,1,5,3,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,2,4,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,2,4,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,2,3,1,5,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,5,7,3,8]=>[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,1,6,4,7,3,8]=>[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,5,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,6,1,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,6,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,1,4,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,1,3,2,7,4,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,4,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,5,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,3,2,7,5,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,1,6,5,7,2,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,6,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,2,6,1,7,4,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,2,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,2,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,3,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,3,6,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,3,6,1,7,4,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,2,7,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,7,5,4,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,3,8,2,5]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,3,8,6,5]=>[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,4,3,8,2,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,3,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,2,8,3,6,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,3,1,8,4,6]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,3,4,8,2,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,6,7,1,8,4,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,2,8,5,6,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,1,5,8,4,7,6]=>[3,2,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,1,5,6,8,4,3,7]=>[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,3,1,5,8,6,4,7]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,4,7,3,1,8,5,6]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,2,8,5,4,6]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,1,6,8,5,4,7]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,6,2,7,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,5,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,1,7,8,6,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,2,8,7,4,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,5,6,8,4,7,3]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,7,8,5,6,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,2,8,4,7,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,5,6,8,7,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,6,5,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,4,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,7,5,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,3,8,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,4,3,8,6]=>[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,7,5,2,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,2,6,1,7,5,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,1,6,4,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,3,1,6,2,7,4,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,3,2,7,4,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,1,7,4,2,5,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,7,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,3,7,4,2,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,6,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,3,2,6,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,2,1,6,3,7,4,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,6,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,7,4,1,5,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,2,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,3,6,5,8]=>[4,5,7,1,2,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,1,7,5,2,4,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,2,7,4,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,6,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,2,1,6,4,3,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,2,1,6,3,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,2,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,1,6,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,4,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,1,7,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,4,3,7,8]=>[3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,6,4,3,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,1,6,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,3,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,3,1,6,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,5,4,3,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,5,4,1,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,5,4,6,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,8,6,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,6,5,9,1,3]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,8,7,2,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,6,5,9,3,2]=>[9,8,3,6,5,4,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,5,1,6,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,5,6,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,8,6,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,8,7,6,9,4,1,3]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,3,7,2,5,6,1,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,9,8,7,6,5,10,1,3]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,1,4,3,2,5,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,2,6,7,1,5,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,6,5,2,4,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,8,7,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,2,5,4,3,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,5,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,8,7,2,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,3,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,2,7,6,3,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,3,5,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,1,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,7,3,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,6,2,1,7,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,4,7,6,5]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,7,4,8,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,4,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,7,3,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,8,2,7,5,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,3,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,7,4,1,8,5,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,3,8,6,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,4,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,2,4,8,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,7,6,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,3,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,7,8,5,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,2,5,7,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,2,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,4,3,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,8,4,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,3,2,8,5]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,5,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,2,7,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,2,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,7,4,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,3,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,4,5,3,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,4,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,8,5,6,4,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,2,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,2,7,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,1,6,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,1,5,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,3,5,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,6,3,4,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,5,6,3,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,6,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,6,4,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,4,2,8,5,6]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,6,5,8,3,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,4,7,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,2,7,1,8,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,3,6,4,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,7,6,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,8,7,6,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,7,4,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,8,6,4,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,3,7,4,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,3,7,4,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,2,7,3,6,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,4,7,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,3,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,8,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,2,8,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,4,7,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,4,5,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,4,5,6,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,4,5,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,9,3,4,5,6,7,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,1,8,3,4,5,6,9,2]=>[9,2,7,6,5,4,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,1,2,7,4,5,8,3]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,1,5,8,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,3,8,5,6,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,9,4,5,6,7,3]=>[3,9,1,8,7,6,5,4,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,5,8,3,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,4,5,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,2,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,4,5,3,7]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,4,3,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,9,4,5,6,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,6,8,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,7,8,2,6,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,5,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,8,6,2,7,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,2,3,5,8,4]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,2,3,5,4,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,2,3,5,7,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,4,5,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,2,3,4,7,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,2,3,7,4,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,7,6,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,4,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,3,4,6,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,3,6,4,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,2,3,8,5,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,1,6,5,3,8,7]=>[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,2,4,3,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,5,1,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,2,1,5,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,4,3,8,7,5]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,8,2,1,6,7,3,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,4,3,7,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,3,1,5,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,6,5,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,4,8,5,7,3]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,6,5,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,3,5,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,3,5,1,7]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,5,8,7,1]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,6,5,1,7]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,6,5,3,7]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,4,8,5,7,3]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,7,4,3,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,4,3,7,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,6,7,3,5]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,6,8,7,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,5,1,3,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,1,5,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,4,3,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,8,7,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,1,7,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,1,4,6,7]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,3,5,1,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,3,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,5,3,6,7]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,2,3,6,7]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,3,2,6,7]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,3,5,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,4,8,3,5,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,8,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,8,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,3,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,8,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,1,8,4,5,3,6]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,8,4,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,6,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,8,5,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,4,5,6,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,8,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,8,1,5,6,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,8,5,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,8,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[6,1,2,4,7,3,8,5]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,6,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,6,7,4,8,3]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,3,2,5,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,8,3,2,5,7]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,3,5,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,6,2,3,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,8,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,8,7,6,2,3,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,3,5,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,3,2,5,7]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,3,2,5,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,2,3,7,5,4,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,1,5,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,3,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,3,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,5,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,5,6,4,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,2,3,5,6,4,7]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,3,1,5,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,1,2,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,6,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,7,5,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,8,1,7,6,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,2,4,3,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,3,4,6,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,5,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,5,8,4,7]=>[7,2,3,4,5,8,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,5,7,4,8]=>[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,2,3,7,6,4,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,2,3,8,6,4,7]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,5,2,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,5,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,4,5,1,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,2,3,1,5,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,2,3,4,5,8,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,5,7,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,6,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,8,6,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,4,2,7,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,6,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,7,6,1,8,5,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,6,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,7,1,4,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,4,6,7,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,4,5,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,1,4,5,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,8,4,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,4,1,8,7,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,8,5,1,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,4,2,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,4,1,8,2,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,3,2,4,5,7,6]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,1,6,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,1,6,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,7,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,4,8,1,3,6,5]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,7,5,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,4,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,6,8,3,4,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,7,4,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,1,8,7,4,3,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,3,6,5,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,8,4,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,6,2,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,6,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,4,7,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,4,6,7,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,5,1,6,7]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,5,1,7,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,6,5,7,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,4,5,7,6,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,4,7,8,3]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,2,7,6,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,3,6,2,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,7,2,8,4]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,8,5,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,3,7,5,6]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,2,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,8,6,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,6,8,4,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,5,4,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,1,4,8,3]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,3,7,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,8,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,5,6,3,4,7]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,8,4,5,1,3,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,3,7,4,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,3,6,7,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,8,4,3,5,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,3,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,6,4,7,8,3]=>[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,5,7,1,4,8,3]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,7,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,3,7,4,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,5,4,7,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,7,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,5,8,4,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,4,8,7,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,2,1,8,7,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,3,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,4,2,3,7,8,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,6,3,8,2,7,4]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,3,1,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,7,6,5,4,2,1,3,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,6,5,4,1,3,2,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,9,8,7,6,5,3,2,4]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,8,7,6,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,9,8,7,6,5,2,4,3]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,7,6,5,4,2,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,3,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,2,3,4,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,2,1,4,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,3,2,1,6,5,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,3,1,5,2,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,4,3,1,7,6,2,5]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,2,1,4,3,6,5]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,4,1,6,2,3,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,1,9,2,3,4,5,6,8]=>[8,2,9,4,5,6,7,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,2,1,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,3,2,1,6,5,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,3,1,5,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,4,3,2,1,8,7,6,5]=>[10,9,6,5,4,3,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,4,3,1,7,6,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,2,1,4,3,6,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,4,1,6,2,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,5,2,1,8,4,3,7,6]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,5,4,1,8,7,2,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,3,1,5,2,7,4,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,5,1,9,8,2,3,4,7]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,2,1,4,3,6,5,8,7]=>[10,9,4,3,6,5,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,1,8,2,3,4,5,7]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,1,10,2,3,4,5,6,7,9]=>[9,2,10,4,5,6,7,8,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,4,8,5,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,5,3,7,6]=>[3,6,1,8,5,2,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,3,1,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,3,2,7,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,5,2,8,7,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,6,2,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,1,7,8,4]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,3,7,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,8,7,2,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,8,7,2,4]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,6,7,5,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,6,7,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,6,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,8,7,5,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,7,1,5,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,7,8,3,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,7,4,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,7,4,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,1,7,3,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,8,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,8,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,2,4,7,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,2,4,7,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,1,4,8,3,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,4,8,3,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,4,8,2,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,4,7,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,5,4,8,3,6]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,2,5,4,8,3,6]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,4,8,3,6]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,4,7,3,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,5,4,8,3,6]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,4,8,1,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,4,8,1,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,5,4,8,1,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,5,4,8,2,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,5,4,8,2,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,4,7,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,8,4,7,3,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,7,3,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,7,3,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,4,7,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,3,1,4,7,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,2,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,4,3,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,7,3,5,4,8,1,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,7,3,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,6,5,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,6,5,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,4,1,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,5,8,6,3,1,4,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,1,4,7,6]=>[5,2,6,8,1,3,7,4]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,7,6,3,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,7,6,3,1,5,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,6,5,7,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,3,6,1,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,1,4,6,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,2,5,1,3,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,1,4,7,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,1,4,5,7]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,1,4,6,7]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,3,7,5,6]=>[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,7,3,6,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,7,3,6,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,5,7,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,8,3,4,6]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,3,8,4,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,2,8,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,4,7,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,7,2,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,7,2,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,7,2,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,2,8,5,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,7,3,8,4]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,2,7,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,7,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,8,2,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,5,2,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,3,6,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,4,2,3,6,7,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,3,4,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,3,6,8,5]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,5,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,2,6,7,4,1,8,5]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,1,7,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,3,1,8,4,5,7]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,6,8,4,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,8,7,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,5,7,3,6]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,7,2,5,6]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,4,1,7,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,5,3,8,7]=>[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,2,7,6,4,1,8,5]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,7,6,8,3]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,4,7,8,3,5]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,7,8,3,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,3,7,8,1,6,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,7,2,4,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,5,2,4,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,6,3,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,7,4,2,6,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,4,2,1,5,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,1,7,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,4,7,3,6]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,5,1,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,1,5,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,1,4,5,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,3,6,7,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,6,2,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,1,6,8,3]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,7,3,4,8,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,7,5,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,2,6,8,4]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,7,6,4,8,5]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,2,1,6,5,8,3,7]=>[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,5,7,3,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,8,5,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,7,4,5,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,1,7,5,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,2,1,8,6,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,3,7,4,5]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,8,6,1,4,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,7,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,7,3,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,4,7,3,6]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,3,1,6,2,7,5,8]=>[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,1,7,2,8,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,2,8,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,7,8,4,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,7,8,3,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,7,8,5,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,8,1,7,4]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,1,7,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,6,7,8,4]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,7,4,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,5,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,8,4,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,2,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,1,2,7,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,3,1,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,8,4,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,8,4,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,3,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,3,8,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,7,6,1,3,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,5,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,7,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,5,2,8,4,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,4,2,5,6]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,5,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,1,3,8,4,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,6,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,3,4,8,5]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,6,3,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,5,6,2,4,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,3,2,7,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,5,7,6,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,2,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,1,3,2,7,8,4,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,2,7,8,3,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,7,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,3,4,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,7,2,4,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,4,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,4,3,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,2,1,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,3,1,6,7,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,1,2,6,7,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,3,2,6,7,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,6,2,4,7,5]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,7,8,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,4,6,7,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,1,6,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,3,4,7,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,2,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,6,3,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,3,6,1,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,1,2,6,4,7]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,5,2,4,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,6,4,3,7]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,1,3,4,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,3,2,5,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,8,4,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,1,7,8,3]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,5,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,6,5,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,2,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,4,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,1,8,6,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,1,5,7,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,3,5,7,6]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,6,1,7,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,5,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,6,2,7,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,1,3,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,6,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,6,7,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,5,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,6,7,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,6,3,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,8,2,3,7,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,4,6,8,3,7]=>[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,1,5,8,2,4,7]=>[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,4,8,3,7]=>[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,4,8,3,7]=>[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,4,7,3,6]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,4,3,6,8,5]=>[3,8,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,5,8,2,4,6]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,1,5,7,3,4,6]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,1,3,7,6]=>[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,3,8,6,7,5]=>[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,4,3,7,1,2,6,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,5,8,2,6,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,2,6,7,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,6,8,7,2,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,6,8,3,4,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,8,2,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,6,8,3,5]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,3,6,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,7,3,5,8,4]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,5,3,6,8,4]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,4,6,8,5]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,1,2,7,4,6]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,2,4,7,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,7,2,6,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,4,8,2,6,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,8,2,3,7,5]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,8,1,7,2,4,6]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,7,3,4,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,2,3,7,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,2,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,8,1,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,3,6,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,3,6,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,5,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,5,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,3,6,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,4,1,5,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,4,1,5,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,4,5,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,4,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,6,1,7,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,2,3,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,4,7,1,6,2,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,1,8,5,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,7,1,6,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,3,6,4,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,6,5,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,7,3,4,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,8,3,5,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,2,6,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,7,1,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,3,8,5,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,2,7,5,6]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,7,5,2,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,5,2,3,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,5,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,4,3,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,6,5,3,8,4]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,6,1,3,5,8,4]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,7,6,8,5,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,7,8,5,6,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,7,5,8,2]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,8,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,4,5,8,3,6]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,5,3,1,6,4,7]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,5,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,4,7,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,8,1,3,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,3,1,8,4,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,1,8,5,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,7,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,4,1,7,8,5]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,1,5,3,8,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,4,7,2,8,5]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,4,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,4,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,2,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,1,7,3,8,2,5,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,3,8,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,4,7,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,7,8,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,1,8,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,7,8,1,5,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,3,2,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,5,4,3,7]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,5,3,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,5,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,4,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,1,2,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,7,3,5,6]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,7,4,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,8,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,1,6,3,5]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,1,5,7,6]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,1,2,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,1,8,6,7,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,1,4,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,5,2,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,5,1,7,3]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,3,8,6,7,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,3,6,7,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,2,4,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,1,2,3,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,2,8,5,6]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,4,5,8,3,6]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,3,5,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,7,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,4,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,4,8,6,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,1,5,4,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,2,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,2,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,6,5,4,7]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,5,7,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,2,4,5,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,7,5,6,2]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,1,6,3,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,8,1,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,7,8,3,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,4,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,7,4,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,7,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,3,7,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,2,7,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,6,4,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,4,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,5,4,8,3,7]=>[2,1,7,5,4,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,8,4,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,7,4,3,5,8,6]=>[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,5,7,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,3,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,3,5,8,4]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,3,5,4,7]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,1,6,3,8,5]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,7,5,2,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,6,8,5,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,1,6,5,2]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,4,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,6,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,8,7,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,4,8,5,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,4,7,8,5]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,4,8,7,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,5,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,4,8,5,6,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,3,4,5,8,6]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,3,7,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,5,8,3,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,5,8,4,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,1,8,7,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,8,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,9,8,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,1,9,8,7,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,8,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,9,8,7,6,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,1,9,8,7,6,5,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,1,9,8,7,6,5,4,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,1,9,8,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,1,7,6,5,4,3,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,1,8,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,9,1,6,5,4,3,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,1,10,9,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,8,1,7,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,9,8,1,5,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,1,10,9,8,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,9,8,7,1,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,1,10,9,8,7,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,8,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,9,8,7,6,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,1,10,9,8,7,6,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,3,9,8,7,6,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,1,10,9,8,7,6,5,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,2,9,8,7,6,5,4,1]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,1,10,9,8,7,6,5,4,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,3,5,6,2,4,7]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,5,6,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,4,8,2,3,5,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,5,4,7,3,6]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,4,1,2,3,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,2,5,3,8,6]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,4,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,5,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,6,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,5,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,7,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,3,1,5,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,3,2,8,4,5,6]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,4,8,3,5,6]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,2,8,6,1,3,4,7]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,3,1,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,1,4,5,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,3,7,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,8,2,5,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,8,3,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,5,7,2,6]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,3,6,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,3,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,1,8,2,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,2,4,5,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,4,7,3,5,6]=>[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,4,7,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,3,7,6,2]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,3,8,7,6,2]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,2,7,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,1,7,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,2,4,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,7,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,8,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,3,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,8,6,3,2,5,7]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,1,6,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,5,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,6,3,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,1,4,8,7,6]=>[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[8,5,4,1,3,2,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,7,1,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,2,5,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,5,3,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,3,5,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,4,7,8,1,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,3,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,5,8,2,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,2,8,3,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,7,6,8,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,2,8,6,4,7,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,5,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,5,3,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,7,6,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,1,8,7,4]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,5,7,2,8,4]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,6,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,6,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,8,7,1,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,1,2,6,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,4,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,6,4,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,7,4,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,3,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,5,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,5,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,8,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,1,5,8,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,2,5,6,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,8,5,2,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,5,8,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,5,8,2,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,8,4,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,1,4,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,1,4,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,8,4,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,7,8,4,2,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,1,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,2,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,2,5,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,6,1,7,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,7,3,4,6]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,7,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,7,3,4,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,7,1,4,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,6,1,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,4,3,6,7]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,3,2,7,1,4,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,2,5,6,7]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,7,1,4,6]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,6,1,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,7,1,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,7,2,4,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,6,2,3,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,6,2,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,6,2,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,6,2,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,6,2,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,4,8,3,6,7]=>[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,3,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,2,5,6,7]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,4,1,5,6,7]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,7,1,4,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,5,3,6,7]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,2,8,4,1,5,6,7]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,1,5,6,7]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,6,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,6,7,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,2,8,4,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,5,3,8,4]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,8,4,2,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,8,2,5,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,8,1,5,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,5,7,6,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,6,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,8,2,5,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,4,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,6,5,8,2,7]=>[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,3,4,7,2,6,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,4,8,2,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,7,5,6,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,4,7,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,3,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,7,5,2,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,4,3,6,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,7,2,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,8,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,5,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,5,7,3,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,5,4,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,5,6,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,6,1,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,5,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,6,3,4,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,1,5,3,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,1,4,6,7,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,2,6,3,7,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,8,1,4,6,7,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,1,5,3,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,1,5,3,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,4,5,3,7]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,8,4,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,6,5,3,7]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,1,8,6,5,3,7]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,6,5,3,7]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,8,5,1,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,5,1,4,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,5,1,4,7]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,5,3,4,6]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,5,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,4,5,3,6]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,6,2,1,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,4,3,5,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,4,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,3,2,1,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,5,7,8,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,5,7,8,2,1,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,4,7,3,5,8,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,4,7,2,5,1,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,3,7,2,1,4,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,4,3,6,7,8,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,4,2,6,7,1,3,8]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,3,2,6,1,4,7,8]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,9,10,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,9,10,5,6,2,1,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,9,10,4,3,5,6,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,9,10,4,2,5,1,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,9,10,3,2,1,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,5,7,10,3,4,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,5,7,10,2,1,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,7,3,5,10,1,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,3,7,2,1,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,5,9,4,3,6,7,10,1,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,4,2,6,7,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,5,9,3,2,6,1,4,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,6,5,8,9,10,3,4,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,5,8,9,10,2,1,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,4,8,9,3,5,10,1,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,4,8,9,2,5,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[7,6,3,8,9,2,1,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,5,4,3,7,8,9,10,1,2]=>[10,9,4,3,5,6,7,8,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,5,7,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,5,7,8,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,4,7,3,5,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,4,7,2,5,1,3,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,6,3,7,2,1,4,5,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,4,3,6,7,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,4,2,6,7,1,3,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,5,3,2,6,1,4,7,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,4,3,2,1,5,6,7,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,7,9,10,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,7,9,10,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,7,9,10,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,7,9,10,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,7,9,10,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,6,9,5,7,10,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,6,9,5,7,10,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,6,9,4,7,3,5,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,6,9,4,7,2,5,1,3,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,6,9,3,7,2,1,4,5,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,5,9,4,3,6,7,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,5,9,4,2,6,7,1,3,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,5,9,3,2,6,1,4,7,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,6,5,8,9,10,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,6,5,8,9,10,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,6,4,8,9,3,5,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,6,4,8,9,2,5,1,3,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,6,3,8,9,2,1,4,5,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,5,4,8,3,6,9,10,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,5,4,8,2,6,9,1,3,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,5,3,8,2,6,1,4,9,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,7,8,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,7,8,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,7,8,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,7,8,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,6,5,7,8,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,6,5,7,8,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,6,4,7,3,5,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,6,4,7,2,5,1,3,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,6,3,7,2,1,4,5,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,5,4,3,6,7,8,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,5,4,2,6,7,1,3,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,5,3,2,6,1,4,7,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,9,11,12,4,3,2,1,5,6,7,8]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,7,9,12,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,7,9,12,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,7,9,12,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,7,9,12,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,7,9,12,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,10,11,12,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,10,11,12,5,6,2,1,3,4]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,10,11,12,4,3,5,6,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,10,11,12,4,2,5,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,10,11,12,3,2,1,4,5,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,1,6,5,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,7,5,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,4,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,4,2,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,2,5,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,5,3,6,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,6,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,2,8,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,8,7,4,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,3,8,7,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,8,6,3,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,5,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,8,5,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,2,4,7,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,3,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,7,6,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,1,3,8,7,6]=>[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[7,5,8,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,2,5,8,6,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,3,1,7,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,7,4,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,5,3,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,1,3,7,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,3,2,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,5,2,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,7,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,2,7,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,4,8,5,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,7,5,8,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,4,8,5,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,7,4,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,6,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,5,2,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,6,2,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,7,8,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,7,3,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,8,3,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,7,4,3,6]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,7,8,4,3,6]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,1,7,4,8,3,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,4,1,6,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,4,1,6,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,4,1,7,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,6,2,10,9,5,1]=>[10,9,6,5,4,3,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,2,8,4,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,1,6,2,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,1,7,2,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,4,2,3,7,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,4,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,1,7,2,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,1,6,2,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,4,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,3,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,5,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,8,5,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,6,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,6,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,7,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,8,6,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,1,3,5,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,1,3,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,1,3,2,5,7]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,6,8,1,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,4,5,3,6]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,7,3,5,6]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,2,8,7,4]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,7,3,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,4,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,1,5,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,3,6,7,5]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,8,6,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,7,3,5,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,3,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,1,6,8,2,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,6,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,8,2,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,5,4,8,3]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,1,8,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,3,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,4,6,2,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,7,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,3,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,1,5,3,7]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,3,2,5,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,4,8,5,2,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,3,2,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,7,4,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,5,2,8,6]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,5,3,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,6,7,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,1,3,7,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,1,8,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,1,5,8,3]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,5,7,6,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,5,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,7,4,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,6,4,7,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,3,2,6,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,2,1,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,3,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,8,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,5,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,4,2,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,5,2,8,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,1,4,3,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,7,5,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,8,5,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,1,7,2,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,3,5,1,8,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,3,8,6,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,7,5,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,6,5,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,3,8,2,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,4,8,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,6,3,7,5]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,2,8,5,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,1,6,3,8,5]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,5,3,8,4,7]=>[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,2,8,4,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,8,4,3,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,1,5,2,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,5,3,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,2,8,4,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,4,1,5,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,2,8,5,1,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,4,2,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,7,4,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,5,2,7,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,8,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,5,2,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,4,2,6,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,1,3,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,7,5,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,5,8,3,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,8,3,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,4,8,1,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,7,4,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,7,4,8,3,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,5,2,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,5,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,1,6,8,2]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,2,6,8,4]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,8,1,3,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,3,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,7,4,8,5,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,1,5,2,7,6,3,8]=>[7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,1,4,3,8,6,7]=>[3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,7,2,1,5,8,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,4,8,5,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,1,8,5,6]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,1,8,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,2,8,6,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,7,6,4,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,2,8,1,5,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,8,1,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,3,8,1,4,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,3,6,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,2,3,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,1,6,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,1,5,4,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,7,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,1,4,3,7]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,4,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,4,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,4,3,7,6]=>[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,8,3,6,5]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,4,2,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,8,3,5,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,6,4,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,7,5,2,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,6,2,3,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,6,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,5,3,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,3,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,6,3,5,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,7,6,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,3,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,5,3,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[1,3,7,5,4,2,8,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,3,5,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,1,2,5,4,7,3,8]=>[7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,6,3,4,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,5,3,8,6]=>[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,4,8,1,5]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,7,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,6,5,3,1,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,1,4,7,8,3]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,7,4,2,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,5,4,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[1,7,4,2,6,3,8,5]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,4,1,2,3,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,2,5,3,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,7,6,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,8,3,5,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,8,1,4,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,10,9,8,7,6,5,4,1]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,9,2,8,7,6,5,4,1]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,2,9,8,7,6,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,2,8,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,1,5,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,3,1,8,7,6,5,4,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,2,1,9,8,7,6,5,4,3]=>[10,3,2,9,8,7,6,5,4,1]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,5,6,2,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,4,5,8,1,6]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,2,4,3,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,6,1,5,2,7]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,5,8,1,6]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,7,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,4,8,6,2,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,8,5,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,8,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,3,7,6,5,8,2]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,7,5,8,6,2]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,3,7,6,5]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,2,3,6,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,3,5,6,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,3,1,6,7,5,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,5,7,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,2,7,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,8,4,7,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,4,1,8,5,6]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,3,2,7,8,5]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,6,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,7,6,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,5,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,3,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,6,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,3,1,5,7]=>[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,6,5,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,6,1,4,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,8,3,5,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,8,7,4,6]=>[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,3,2,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,8,3,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,7,3,5,6]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,4,8,5,6]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,7,2,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,7,2,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,3,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,3,7,5,6,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,3,7,4,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,7,2,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,6,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,6,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,7,4,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,5,4,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,4,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,8,6,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,7,2,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,8,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,4,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,3,8,5,6]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,6,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,2,5,8,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,2,8,5,6]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,4,8,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,4,8,6,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,3,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,8,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,3,8,1,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,7,1,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,7,4,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,2,3,6,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,3,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,1,3,5,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,1,2,4,7]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,2,4,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,2,5,7,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,4,8,1,6,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,1,2,5,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,7,8,2,3,6,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,6,2,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,2,3,4,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,2,3,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,1,3,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,6,3,4,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,2,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,1,4,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,3,5,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,2,4,6,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,2,3,6,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,3,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,2,3,5,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,2,5,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,6,5,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,2,7,5,3,6]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,3,4,7,2,5,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,2,1,6,3,5,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,5,4,3,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,7,3,6,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,4,1,5,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,8,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,4,1,5,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,7,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,7,1,4,6,8,3]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,5,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,4,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,7,4,1,2,6,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,1,2,6,7,3,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,2,6,3,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,5,7,6,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,4,7,1,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,5,3,7,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,6,3,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,4,6,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,7,3,5,6]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,2,3,7,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,2,8,7,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,4,3,8,2,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,4,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,1,3,8,2,6,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,1,5,7,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,1,3,7,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,8,3,5,6]=>[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,2,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,1,3,8,2,6,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,4,2,6,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,3,6,2,8,5]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,6,4,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,7,5,8,1,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,3,6,2,8,5]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,4,2,6,7,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,1,3,7,2,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,6,2,7,5]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,5,7,1,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,5,8,7,1,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,4,7,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,4,2,7,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,4,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,4,5,6,2,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,5,7,8,1,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,2,8,7,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,2,6,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,3,2,6,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,4,2,6,5,3,7]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,4,8,6,3,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,4,7,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,5,7,2,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,6,5,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,4,1,6,5,2,7]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,5,3,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,3,7,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,4,5,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,5,1,6,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,5,6,7,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,2,5,7,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,5,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,2,6,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,5,4,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,1,5,4,8,7]=>[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,4,2,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,2,6,5,1,4,8,7]=>[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,5,8,1,7,4,3,6]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,5,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,8,4,3,7]=>[4,7,6,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,1,8,5,6]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,7,1,5,8,6]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,4,3,7,6]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,4,2,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,1,5,7,6]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,1,7,5,6]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,2,6,8,5]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,1,6,5,7]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,1,7,2,6,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,8,2,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,8,1,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,6,4,8,3,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,5,4,8,7,3,6]=>[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,4,8,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,7,1,5,6]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,6,2,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,4,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,2,1,3,4,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,5,2,7,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,8,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,3,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,6,4,8,5,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,8,7,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,3,7,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,2,1,5,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,1,4,7,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,2,4,5,7]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,8,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,1,4,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,1,3,6,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,5,1,3,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,5,6,3,7]=>[4,7,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,5,2,7,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,1,2,7,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,5,3,6,7]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,3,5,6,7]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,9,6,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,8,4,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,9,8,5,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,5,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,9,8,7,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,8,7,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,9,8,7,6,3,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,8,7,6,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,9,8,7,6,5,2,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,8,7,6,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,9,7,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,7,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,7,2,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,7,3,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,9,5,7,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,9,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,8,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,4,9,7,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,8,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,2,7,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,8,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,7,2,1,5,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,5,8,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,9,4,7,3,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,8,3,6,2,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,5,7,2,4,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,8,4,6,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,8,2,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,9,4,6,3,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,6,8,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,8,5,7,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,10,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,5,2,4,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,2,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,6,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,2,6,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,2,7,6,1,4,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,4,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,2,6,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,1,6,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,1,4,6,8,2]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,4,6,2,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,1,4,2,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,2,1,4,6,8]=>[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,2,7,1,4,6,8]=>[5,6,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,2,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,4,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,4,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,4,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,2,1,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,1,4,8,6]=>[5,2,6,8,1,3,7,4]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,1,4,8,6]=>[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,1,4,8,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,4,2,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,5,1,8,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,1,8,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,5,1,8,4,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,1,8,4,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,5,7,4,8,3]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,4,1,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,8,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,3,6,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,3,4,7,5,6]=>[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,1,7,2,4,8,3,6]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,6,7,1,8,5]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,5,6,7,9,2,8]=>[1,8,3,4,5,6,9,2,7]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,8,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,8,7,6,1,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,1,6,7,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,1,7,3,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,1,5,4,7]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,6,1,4,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,7,1,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,3,2,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,5,3,6,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,1,8,3,6,5]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,7,1,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,7,4,3,6]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,3,5,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,1,6,2,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,4,1,5,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,3,7,6,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,3,4,7,6]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,2,4,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,4,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,4,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,7,8,1,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,1,3,6,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,2,5,6,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,1,7,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,6,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,3,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,1,5,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,7,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,4,8,1,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,4,1,5,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,5,8,2,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,7,8,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,8,5,1,4,7,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,8,6,5,7,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,1,6,8,7,2,4]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,2,6,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,2,5,8,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,2,6,7,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,6,7,1,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,1,3,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,5,6,7,8,3]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,2,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,5,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,2,1,4,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,2,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,2,5,4,1,6,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,3,2,5,4,6,8]=>[7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,7,5,1,4,6,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,1,2,4,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,1,7,4,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,1,2,5,4,6,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,1,2,7,4,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,1,5,2,4,6,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,1,3,2,4,6,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,3,2,4,6,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,7,5,2,4,6,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,5,3,2,4,6,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,9,2,4,5,6,7,8]=>[1,4,9,2,5,6,7,8,3]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,9,8,7,6,2,5,4,3]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[3,9,8,7,6,5,2,1,4]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,10,9,8,7,6,5,2,4,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[4,9,8,7,6,1,2,5,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,10,9,8,7,6,2,5,4,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,8,7,4,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,9,8,7,1,2,6,4,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,8,5,1,7,6,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,9,8,2,1,7,5,4,3]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,5,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,10,1,9,8,7,6,5,4,3]=>[3,10,1,9,8,7,6,5,4,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,10,9,8,7,6,5,2,1,4]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,11,10,9,8,7,6,5,2,4,3]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>1
[1,9,8,7,6,3,2,5,4]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[4,10,9,8,7,6,1,2,5,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,11,10,9,8,7,6,2,5,4,3]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>1
[1,9,8,7,4,2,6,5,3]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[4,9,8,7,6,3,2,1,5]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,10,9,8,7,1,2,6,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,8,1,4,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,9,8,7,4,1,2,6,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,10,9,8,2,1,7,5,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,7,4,3,2,6,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,9,8,5,1,2,7,4,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,10,9,1,2,8,6,5,4,3]=>[10,9,8,4,5,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,5,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,9,6,2,1,8,5,4,3]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,2,1,10,8,7,6,5,4,3]=>[10,3,2,9,8,7,6,5,4,1]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,3,6,8,5,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,6,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,4,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,8,1,3,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,8,6,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,4,2,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,4,8,7,2,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,4,1,8,7,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,4,5,8,2,6]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,5,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,5,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,2,5,8,4,6]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,2,8,5,3,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,5,8,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,8,1,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,3,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,5,8,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,5,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,4,8,6,5]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,5,4,8,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,4,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,4,5,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,3,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,5,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,5,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,7,2,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,2,1,7,4]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,5,3,7,8,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,2,5,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,6,8,1,7,2,4]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,3,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,3,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,2,7,8,6]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,5,4,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,8,4,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,3,2,7,8,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,5,3,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,2,4,6,7,8]=>[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,6,1,7,4,5,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,3,4,2,6,7,8]=>[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,3,1,4,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,5,2,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,1,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,7,6,5,2,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,7,1,5,8,4]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,1,3,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,1,8,2,6,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,2,3,6,7,8]=>[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[3,6,1,7,2,5,8,4]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,7,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,4,3,2,6,7,8]=>[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,4,1,3,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[6,4,2,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,2,4,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,4,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,3,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,5,8,3,7]=>[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,7,4,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,4,7,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,4,7,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,8,5,3,7]=>[3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,6,1,8,5,7]=>[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,2,3,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,3,6,7,5]=>[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,3,6,7,5]=>[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,6,3,7,5]=>[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,4,8,2,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,3,5,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,1,5,7,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,4,5,7,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,4,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,8,1,4,6,7,3,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,5,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,2,3,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,5,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,5,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,7,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,7,1,8,4,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,1,4,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,6,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,3,6,2,7]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,3,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,2,6,5,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,5,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,6,8,1,2,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,5,8,7,1]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,2,5,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,3,6,5,7,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,8,3,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,4,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,4,1,5,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,8,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,1,3,4,6]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,7,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,7,8,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,6,5,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,6,4,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,8,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,7,6,2,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,8,3,7,1,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,7,1,5,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,2,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,2,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,7,2,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,3,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,3,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,4,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,4,3,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,4,2,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,2,8,7,6,3,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,3,1,5,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,7,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,8,7,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,3,1,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,8,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,6,4,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,5,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,8,6,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,5,3,6,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,2,1,8,3,6,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,5,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,2,8,6,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,1,3,6,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,5,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,1,3,8,6,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,6,5,8,2,4]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,4,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,4,7,5,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,4,8,7,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,4,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,5,7,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,6,4,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,2,1,6,4,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,6,3,5,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,8,6,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,5,3,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,3,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,7,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,8,4,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,3,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,5,8,1,6,7,3]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,8,1,6,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,6,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,5,2,6,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,3,7,4,2,5,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,6,8,2,7,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,2,5,4,7]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,5,4,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,5,2,4,3,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,7,2,8,1,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,2,3,7,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,7,1,3,6,4,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,1,2,4,3,6,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,2,3,7,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,2,5,7,6]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,5,7,8,2]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,2,8,5,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,5,7,6,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,5,7,6,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,6,5,3,1,7,8,4]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,5,7,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,3,6,8,2,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,6,3,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,6,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,3,8,2,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,8,4,2,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,7,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,7,5,8,3,6]=>[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,3,5,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,7,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,7,6,3,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,7,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,7,4,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,8,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,7,8,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,2,6,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,2,7,5,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,2,7,6,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,7,5,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,1,6,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,8,2,6,5,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,8,4,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,2,8,5,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,2,7,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,2,8,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,2,8,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,3,7,5,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,3,2,4,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,5,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,3,7,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,4,8,5,3,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,5,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,8,7,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,4,1,3,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,4,5,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,7,8,2,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,7,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,7,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,6,8,2,5]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,5,6,8,2,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,7,4,2,8,5]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,4,8,2,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,3,2,7,8,5]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,5,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,6,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,2,6,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,3,1,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,8,5,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,1,8,4,6,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,1,6,5,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,3,7,5,6]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,3,6,5,4,7]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,8,4,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,4,6,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,5,4,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,6,4,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,6,1,3,7]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,6,3,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,4,6,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,4,7,3,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,5,8,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,7,1,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,7,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,4,1,7,8,5,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,7,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,4,8,6,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,2,7,8,3,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,4,3,7,1,8,5]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,7,8,3,5]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,8,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,8,6,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,1,6,8,5]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,5,6,8,4]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,8,1,6,7,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,5,8,2,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,2,5,6,8,4]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,2,6,5,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,8,4,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,6,5,8,2]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,6,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,6,1,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,5,2,8,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,6,2,8,5]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,6,3,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,6,3,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,6,3,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,3,5,1,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,1,4,7,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,1,6,5,8,3]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,1,3,7,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,5,8,4,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,3,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,3,5,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,5,6,4,7]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,5,4,7,6]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,4,2,6,5,7]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,4,2,5,7,6]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,5,6,4,7]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,5,3,7,6]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,3,6,7,5]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,4,7,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,8,1,6,3]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,8,1,5,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,2,1,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,1,6,7,3]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,3,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,2,1,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,4,6,7,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,7,4,6,8,3]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,2,7,3,6,8,4]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,8,3,6,7,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,3,6,7,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,7,3,6,8,5]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,3,4,7,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,3,6,4,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,3,5,7,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,3,5,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,2,4,5,7,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,8,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,4,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,6,2,3,5,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,3,5,7,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,3,5,6,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,4,5,3,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,2,3,4,6,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,3,4,7,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,3,5,4,7]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,4,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,7,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,7,3,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,7,2,6,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,4,6,8,5,7,1]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,4,8,6,1]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,7,8,5,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,8,6,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,1,3,7,6]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,5,2,4,6,7]=>[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,7,1,8,4,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,4,2,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,5,6,3,7]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,8,5,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,2,6,7,8,4,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,7,3,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,7,5,3,6]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,1,7,4,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,1,5,3,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,3,5,8,4]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,7,8,4,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,8,5,6,2,7]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,5,7,2,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,8,9,2,3,4,5]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[6,7,8,9,1,2,3,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,7,8,1,2,3,4,5,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,7,8,9,2,3,4,5,6]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,7,8,9,10,2,3,4,5,6]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[6,7,8,9,10,1,2,3,4,5,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[5,6,7,8,9,1,2,3,4,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[5,6,7,1,8,2,3,4,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,6,7,8,2,9,3,4,5]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,6,7,8,9,10,2,3,4,5]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,7,8,9,10,11,2,3,4,5,6]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>1
[8,6,2,3,5,1,4,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,7,3,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,5,4,1,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,5,4,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,5,2,4,3,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,1,5,3,7]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,5,3,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,5,4,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,5,4,1,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,7,4,1,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,5,4,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,1,5,3,6]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,7,1,6,5,2]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,4,5,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,2,6,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,1,6,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,3,6,5,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,6,4,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,2,4,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,4,6,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,3,7,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,3,1,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,1,5,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,5,7,6,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,7,5,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,7,5,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,5,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,7,6,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,4,6,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,7,6,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,2,6,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,7,6,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,7,6,5,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,3,2,8,6,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,2,7,4,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,2,4,6,7]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,2,4,8,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,1,4,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,5,4,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,5,7,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,8,6,4,5]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,2,3,5,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,8,2,3,7,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,2,3,5,6,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,8,2,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,6,8,3,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,5,7,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,2,1,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,3,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,6,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,1,8,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,3,2,8,4,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,2,1,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,8,1,7,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,4,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,5,3,6,7]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,8,2,6,1,7,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,5,2,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,2,5,8,4,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,5,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,6,5,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,8,4,3,6]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,8,4,3,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,6,3,5,4,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,6,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,8,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,5,7,8,4,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,1,2,6,8,5]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,5,8,2,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,7,8,5,1]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,3,8,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,4,7,8,3,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,5,4,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,6,4,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,6,4,1,7,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,1,6,8,5]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,4,8,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,5,4,3,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,6,7,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,5,3,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,8,6,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,5,3,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,7,2,3,1,5,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,8,1,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,8,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,6,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,4,2,5,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,2,8,7,3]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[4,2,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[2,1,7,5,8,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,7,3,8,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,6,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,8,4,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,7,6,1,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,5,1,8,6,7]=>[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,2,5,1,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,1,3,8,6,7]=>[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,8,2,4,3,6,7]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,8,2,3,6,7]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,1,4,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,6,7,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,8,7,1,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,6,8,1,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,6,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,8,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,8,3,4,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,3,4,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,5,4,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,2,5,8,4,6,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,5,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,4,8,5,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,1,8,4,3,5,6]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,6,8,1,3,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,6,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,6,8,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,7,8,3,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,6,2,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,2,5,4,7]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,5,1,3,2,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,5,4,7,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,7,6,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,7,6,5,1,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,3,2,7,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,6,3,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,8,3,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,6,4,8,1,5,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,8,1,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,5,3,8,6,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,3,8,6,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,8,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,8,3,6,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,2,4,8,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,3,5,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,2,3,5,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,3,8,7,4,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,2,5,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,7,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,3,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,7,1,4,5,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,2,7,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,6,1,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,5,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,5,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,1,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,1,4,7,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,4,5,2,8,6]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,2,1,3,5,6,7]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,5,4,3,8,6]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,7,3,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,7,4,3,8,6]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,1,8,7,5,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,1,3,8,7,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,4,6,8,3,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,7,2,4,6,8,3,5]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,4,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,2,7,3,5,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,6,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,8,3,5,7,6,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,5,8,1,7,6,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,6,7,5,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,5,2,4,7,9,6,8,1,3]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,2,8,5,7,4,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,2,6,5,9,4,8,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,10,5,9,8,7,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,3,5,8,2,4,7,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,3,6,2,5,4,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,10,9,8,2,5,7,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,3,6,2,5,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,3,7,6,5,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,6,10,3,5,9,8,7,2,1]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,4,8,3,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,10,4,9,8,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,2,4,6,8,1,3,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,2,10,7,9,4,6,8,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,2,8,7,11,4,6,10,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,12,7,11,10,9,2,4,6,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,7,2,4,6,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,6,10,5,9,2,4,8,1,3,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,2,8,5,7,4,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[6,8,12,5,7,11,10,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,6,10,5,9,8,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,12,5,11,10,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,12,6,11,10,9,8,5,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,7,6,5,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,4,8,3,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,3,5,8,2,4,7,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,3,6,10,9,8,2,5,7,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,12,7,11,10,9,6,8,2,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,7,3,6,2,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,5,10,4,9,3,8,2,7,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,4,6,10,3,5,9,8,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[4,7,12,11,10,3,6,9,8,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,4,8,3,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,5,10,4,9,8,7,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[6,12,5,11,10,9,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,1,7,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,5,3,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,2,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,6,4,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,6,3,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,3,1,4,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,1,4,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,7,8,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,8,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,7,8,5,3,6]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,3,1,6,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,1,4,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,4,3,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,7,8,2,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,5,8,3,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,1,4,6,8,5]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,6,5,7,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,8,4,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,4,6,7,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,8,3,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,6,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,3,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,5,7,6,3]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,2,5,7,6,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,5,4,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,3,7,1,6,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,4,7,6,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,2,8,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,2,4,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,8,7,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,1,7,6,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,7,6,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,7,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,8,2,4,5,7,6,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,2,5,7,6,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,8,1,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,7,5,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,7,5,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,8,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,3,8,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,5,7,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,4,5,7,6,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,4,6,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,7,5,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,7,2,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,5,1,6,2,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,4,7,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,4,7,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,5,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,1,2,5,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,5,2,3,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,6,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,6,5,3,8,4,7]=>[2,1,7,5,4,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,6,8,1,4,2,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,5,3,7,4,6]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,2,6,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,8,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,1,6,2,4,8,5]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,6,8,3,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,5,8,3,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,5,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,5,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,1,2,6,8,3,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,7,8,3,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,8,7,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,2,4,6,8,5]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,1,4,2,5,7,6]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,7,8,4,6,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,1,2,6,8,7,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,2,5,7,3,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,8,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,2,8,4,6,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,7,6,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,6,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,9,3,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,3,4,5,6,7,8,9,2]=>[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[7,8,6,3,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,4,5,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,8,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,6,1,4,2,7,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,4,6,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,1,5,4,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,7,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,6,8,5,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[6,3,2,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,5,4,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,8,6,3,7,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,2,5,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,5,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,5,3,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,6,4,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,7,4,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,3,2,4,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,5,1,3,7,8,6,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,1,8,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,1,3,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,2,3,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,6,4,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,1,6,4,7,5,2,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,7,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,7,5,3,6,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,7,3,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,5,8,6,4,7,1]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,8,6,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,7,5,8,6,1]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,4,7,8,6,2]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,3,1,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,4,1,3,6]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,7,1,3,8,5]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,4,2,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,3,2,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,5,3,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,7,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,7,4,3,8,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,8,7,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,1,5,6,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,1,5,7,4,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,7,5,8,2,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,3,4,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,8,3,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,9,1,2,3,4,5,7,8]=>[7,9,3,4,5,6,1,8,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,3,8,5,2,7,4,6]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,6,7,2,4,5]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,3,7,6,1,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,6,1,3,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,6,2,4,5]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,6,8,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,1,2,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,1,2,7,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,7,1,3,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,8,7,2,3,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,3,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,4,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,5,8,1,3,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,4,5,3,6]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,6,1,3,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,7,4,5,3,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,1,5,4,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,7,4,2,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,2,5,6,7,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,7,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,8,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,3,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,4,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,8,1,3,6]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,6,3,8,7,4]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,5,4,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,5,2,8,6,7]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[8,5,4,1,3,2,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,5,2,6,7]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,3,1,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,5,4,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,4,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,3,5,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,2,1,8,6,3,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,2,4,1,6,5,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,2,1,6,4,5,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,6,1,7,4,3,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,1,3,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,5,6,4,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[8,5,2,6,1,3,7,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,2,5,4,6,3,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,1,6,5,3,7,8]=>[3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,2,7,5,6,3,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,2,6,5,4,3,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,1,5,6,3,7,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,6,4,7,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,3,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,1,6,5,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,1,4,6,5,2,7,8]=>[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,1,5,3,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,8,6,3,7,5,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,3,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,5,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,1,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,1,3,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,3,4,2,8,6,7]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,2,1,4,3,8,6,7]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,2,7,3,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,8,5,6,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,2,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,4,3,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,4,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,2,3,4,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,7,3,4,6,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,4,5,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,2,5,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,4,1,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,6,8,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,6,5,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,1,8,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,8,4,5,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,3,7,5,6]=>[2,1,5,8,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,8,1,6,7,3,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,3,2,7,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,5,6,2,7]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,3,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,3,1,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,6,5,8,7,3]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,6,4,8,7,3]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,5,3,8,7,4]=>[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,1,4,3,8,7,6]=>[3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[1,7,3,5,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,6,3,7,5,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,6,4,8,5,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,6,3,8,5,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,7,4,8,6,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,8,5,7,6,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,1,3,2,6,5,7]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,8,4,7,6,2]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,7,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,3,8,1,5,4,7]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,2,6,5,7]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,2,6,4,7]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,5,4,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,5,3,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,1,3,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,1,2,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,3,6,4,5]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,5,2,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,7,5,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,1,6,7,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,4,1,3,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,6,3,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,4,1,7,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,6,4,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,7,6,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,2,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,2,4,8,3,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,3,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,7,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,7,2,5,1,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,1,5,4,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,5,8,4,7]=>[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,5,8,4,3,6]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,4,3,6,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,2,6,5,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,8,3,2,6,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,4,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,4,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,5,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,2,3,4,5,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,6,2,3,4,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,8,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,5,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,5,8,6,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,5,8,4,6,1,7,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,6,1,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,5,8,1,7,4]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,8,1,7,4]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,6,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,1,4,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,1,7,6,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,5,7,6,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,8,6,5,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,5,6,7,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,6,1,8,3]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,4,6,1,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,4,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,5,7,8,1]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,5,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,5,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,5,7,8,1]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,5,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,5,7,8,3]=>[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,5,7,8,3]=>[3,8,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,1,8,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,3,1,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,4,1,8,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,1,8,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,6,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,5,3,1,8,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,4,1,8,6,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,7,5,1,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,2,6,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,5,3,7,2,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,8,2,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,3,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,9,4,3,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[3,5,6,7,8,9,4,2,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,4,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,1,8,5,7]=>[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,3,1,4,7]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,2,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,7,6,8,3,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,7,5,1,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,7,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,4,2,7,3,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,6,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,4,6,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,3,8,4,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,8,7,2,6,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,4,8,3,6]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,4,7,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,1,3,8,6]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,5,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,10,1,2,3,4,5,6,8,9]=>[8,10,3,4,5,6,7,1,9,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,6,1,3,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,5,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,7,5,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,6,1,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,8,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,6,8,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,8,6,4,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,5,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,1,10,9,8,6,7,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[2,8,9,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,6,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,4,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,8,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,3,2,6,7,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,3,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,2,1,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,3,2,7,6,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,8,3,1,2,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,6,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,3,2,7,5,6]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,3,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,3,2,5,7,6]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,3,8,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,6,7,8,9,3]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,4,2,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,3,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,3,8,6,4,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,5,8,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,5,3,4,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,6,4,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,8,2,5,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,7,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,4,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,3,7,6,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,3,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,6,7,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,7,2,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,4,5,1,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,4,6,2,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,5,8,3,7]=>[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,2,6,7,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,8,1,3,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,3,8,2,5,7]=>[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,4,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,2,8,7,3]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,1,6,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,5,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,7,4,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,6,3,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,5,6,7,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,4,7,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,6,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,6,8,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,1,6,2,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,4,7,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,6,3,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,1,6,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,3,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,5,6,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,4,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,5,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,5,7,4,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,6,5,3,7]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,7,4,8,2,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,4,7,8,2,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,4,3,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,3,4,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,3,4,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,4,5,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,6,3,4,7]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,7,5,2,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,5,3,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,4,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,5,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,2,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,2,3,6,7]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,8,2,7,4,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,7,5,8,3,6]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,3,6,7,5,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,8,2,7,5,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,4,3,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,4,5,6,2,7]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,2,4,5,7]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,8,4,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,3,2,6,8,5]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,3,6,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,7,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,5,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,6,5,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,4,7,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,5,4,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,7,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,3,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,3,7,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,2,6,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,8,4,6,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,2,7,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,6,7,1,3]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,4,5,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,1,7,2,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,5,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,2,1,4,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,3,2,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,6,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,5,3,7,8,4]=>[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,1,4,7,2,3,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,5,4,8,3,7]=>[1,7,3,5,4,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,7,5,8,3,6]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,5,8,2,4,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,5,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,3,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,3,8,4,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,8,3,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,4,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,4,3,8,5]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,7,3,2,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,3,1,4,8,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,4,6,3,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,4,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,7,1,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,2,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,7,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,7,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,5,4,3,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,7,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,4,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,5,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,1,6,4,8,5,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,6,4,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,8,7,6,4,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,5,4,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,5,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,1,6,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,1,6,5,3,2,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,6,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,6,3,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,8,5,3,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,5,3,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,6,1,4,3,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,4,3,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,6,1,4,3,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,1,4,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,5,1,4,3,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,4,3,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,4,2,5,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,6,4,5,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,5,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,1,6,4,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,5,7,2,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,8,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,1,4,3,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,1,4,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,3,7,1,6,8,4]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,4,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,8,5,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,3,7,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,7,2,4,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,4,2,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,5,8,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,5,4,3,6]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,5,3,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,5,4,2,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,4,6,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,6,8,1,5,7,2]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,5,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,2,8,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,6,7,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,2,6,4,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,6,8,2,4,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,7,5,4,8,6]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[6,7,4,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,8,4,3,5,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,5,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,1,7,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,8,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,5,2,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,4,7,8,2,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,1,5,7,8,3,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,7,8,2,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,6,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,3,7,8,2,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,5,2,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,6,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,1,6,7,5,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,5,4,8,3,2,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,3,6,4,7,8,2,5]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,1,3,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,1,7,8,4,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,7,8,2,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,4,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,6,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,6,5,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,3,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,8,4,5,7,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,4,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,6,5,4,3,1,2,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,3,8,4,7,5,6,1]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,6,2,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,7,5,2,4,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,1,7,3,6]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,5,1,6,4,7]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,5,1,6,7]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,3,8,6,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,9,2,1,3]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,2,1,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,2,1,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,1,3,4,5,6]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,2,1,3,4,5,6,7]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,2,7,5,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,6,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,1,4,5,6,7,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,5,6,4,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,1,5,8,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,1,5,4,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,2,6,3,7]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,3,2,6,4,7]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,1,3,2,5,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,3,7,8,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,5,1,8,7,4]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,3,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,2,4,6,7,5]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,7,1,4,3,5,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,3,6,8,4,5]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,8,3,4,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,1,4,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,2,7,6,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,6,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,7,3,6,5]=>[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,8,2,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,2,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,8,4,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,6,2,1,8,5,7]=>[5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,4,8,3,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,7,8,3,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,4,6,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,2,5,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,4,8,5,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,4,7,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,6,4,7,5,8,1]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,6,7,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,3,2,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,6,3,8,5,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,3,7,5,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,6,3,5,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,6,2,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,8,6,2,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,4,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,4,3,8,5]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,3,8,7,4]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,3,8,6,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,3,5,8,4]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,1,7,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,3,5,7,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,1,8,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,5,3,6,7,8]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[8,6,4,3,2,1,9,7,5]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,4,2,1,9,7,5,3]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,5,3,1,8,6,4,2,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[7,4,1,8,5,2,9,6,3]=>[9,8,3,6,5,4,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,1,4,2,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[9,7,5,4,3,2,1,10,8,6]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,2,1,10,8,6,4]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,2,5,4,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,2,1,8,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,7,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,7,4,8,6,1,5]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,7,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,4,8,6,1,7]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,5,4,1,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,6,5,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,8,7,2,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,7,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,1,8,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,1,8,7,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,8,7,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,8,5,6,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,7,5,6,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,8,3,6,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,5,8,4,6,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,7,5,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,2,8,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,5,8,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,3,8,5,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,3,8,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,4,7,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,3,7,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,4,5,8,6,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,4,3,6,7]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,3,6,7,5]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,5,6,7,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,2,7,8,5]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,6,7,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,6,5,4,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[12,10,9,8,7,6,5,4,3,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[4,6,7,2,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,2,5,4,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,1,8,5,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,6,7,8,2]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,7,4,5,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,7,1,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,7,8,2,4]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,4,7,1,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,5,1,7,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,7,6,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,1,2,4,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,1,7,4,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,2,4,8,5,3,7]=>[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,7,2,5,8,4]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,5,1,4,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,5,8,1,7,2,4]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,5,8,6,4,7,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,8,6,7,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,4,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,3,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,6,5,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,3,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,3,1,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,2,5,3,4,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,8,1,2,5,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,5,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,7,2,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,4,3,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,3,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,4,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,7,5,6,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,7,5,6,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,6,8,5,3,4,7]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,5,1,3,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,7,1,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,4,7,1,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,6,2,4,3,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,8,6,2,4,3,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,4,8,6,7,3]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,2,6,8,7,3]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,6,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,1,5,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,4,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,5,3,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,1,4,6,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,7,4,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,4,1,7,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,8,5,7,1]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,3,5,8,6,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,2,3,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,8,3,7,5,1,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,3,7,5,6,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,4,3,6,7,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,6,1,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,8,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,2,8,5,3,7,6]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,5,1,7,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,6,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,3,5,6,4,1,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,6,4,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,4,5,3,8,6]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,8,4,6,2,7]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,5,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,5,6,8,3,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,4,8,3,5,6]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,2,4,3,5,7]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,5,3,4,8,6]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[10,9,4,5,6,7,8,1,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,3,8,5,6,7,1,9,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,1,5,6,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,6,7,3,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,1,3,4,8,5]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,2,5,8,6]=>[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,1,3,8,4]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,6,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,6,1,2,4,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,5,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,2,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,6,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,7,1,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,2,4,5,6]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,2,4,5,6]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,7,2,5,6]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,3,6,7,8,1,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,5,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,6,7,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,7,1,3,6]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,7,2,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,4,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,5,4,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,4,8,3,7]=>[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,4,2,6,5]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,4,3,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,4,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,5,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,5,7,6,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,7,6,3,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,4,2,6,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,1,6,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,2,3,7,6,5]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[8,5,1,2,4,3,7,6]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,7,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,2,8,7,3,1,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,8,7,2,5,6]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,3,4,6,7,2,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,5,1,7,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,7,4,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,7,5,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,7,6,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,7,5,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,3,6,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,8,1,7,4,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,3,6,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,9,5,6,7,1,4]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,2,9,4,5,6,7,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,3,4,5,6,7,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,2,10,4,5,6,7,8,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,3,4,7,6,8,1,5]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,5,6,4,7]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,4,6,7,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,5,2,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,8,5,7,1]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,7,1,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,6,3,5,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,5,4,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,5,2,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,5,2,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,1,5,7,6]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,4,1,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,6,1,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,2,3,4,6,8,1,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,6,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,1,3,4,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,6,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,8,3,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,1,7,3,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,8,6,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,6,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,5,1,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,5,6,2,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,4,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,3,2,8,5,6]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,7,2,1,4,3,8,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,5,2,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,1,5,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,5,8,3,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,3,8,5,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,1,5,6,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,3,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,5,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,7,2,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,3,5,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,2,5,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,1,5,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,3,1,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,3,5,6,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,8,2,4,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,1,4,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,1,4,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,1,5,4,2,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,7,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,8,3,7,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,6,5,8,4,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,6,7,8,3]=>[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,4,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,8,4,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,5,8,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,6,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,2,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,4,5,6,7,1,2,10,3]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,3,8,5,6,7,1,2,10,4]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,4,5,6,1,8,2,10,3]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,3,8,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,1,8,7,3,5]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,8,7,1,3]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,5,7,1,3]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,1,8,7,3]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,5,1,7,3]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,7,1,3,5]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,5,1,3,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,4,6,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,5,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,8,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,5,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,5,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,1,7,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,8,4,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,2,7,8,5,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,1,7,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,8,1,7,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,2,5,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,7,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,7,6,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,2,7,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,2,3,7,4,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,8,2,7,4,5]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,2,5,6,7]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,3,8,5,4,6]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,2,5,6,7]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,3,8,6,4,5]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,2,5,6,3,7]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,3,2,8,4,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,3,6,8,4,5]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,3,2,5,6,7]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,5,8,3,4,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,3,5,8,1,7,4]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,1,6,7,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,9,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[2,6,4,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,7,5,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,7,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,6,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,6,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,5,2,8,6,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,2,5,8,6,4]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,6,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,3,6,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,5,6,2,8,4]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,4,1,3,8,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,8,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,5,8,7,2,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,7,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,4,1,8,7,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,3,2,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,1,2,4,8,7,5]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,4,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,1,7,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,1,8,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,4,8,7,5]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,8,4,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,6,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,6,5,4,1,3,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,2,8,5,1,4,3,6]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,1,2,5,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,3,1,5,7]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,4,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,8,2,6,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,7,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,8,4,6,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,7,6,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,7,6,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,2,4,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,5,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,6,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,8,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,7,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,1,4,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,5,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,8,4,2,7,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,4,1,8,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,7,6,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,7,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,6,1,3,5]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,5,6,3,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,6,7,5,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,7,5,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,8,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,8,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,6,5,2,7]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,2,6,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,1,8,3,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,8,5,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,1,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,5,7,6,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,4,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,7,5,8,2]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,3,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,7,2,6,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,8,1,3,6]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,8,7,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,4,6,7,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,2,5,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,8,1,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,3,5,8,4]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,8,2,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,7,2,6,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,2,8,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,7,2,6,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,2,7,6,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,2,7,6,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,2,7,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,7,6,1,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,7,1,6,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,7,1,6,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,3,7,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,3,7,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,2,8,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,4,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,5,1,4,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,1,7,8,5,2,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,5,2,7,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,4,2,7,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,1,3,2,4,7,8,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,3,7,8,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,2,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,8,6,2,7,5]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,4,1,3,8,5,6]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,4,1,6,7]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,3,6,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,3,4,1,5,6,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,2,3,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,5,7,8,1]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,5,6,1,7,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,5,1,6,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,5,2,6,7,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,8,4,5,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,5,1,7,8,4]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,1,5,7,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,2,7,8,5]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,3,2,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,2,3,6,8,4]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,2,3,6,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,3,6,7,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,3,7,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,3,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,6,7,1,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,4,1,8,6,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,5,1,3,6]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,4,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,4,5,6,2,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,8,3,5,7,1,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,4,3,5,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,7,4,2,5,6]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,3,1,4,2,5,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,4,1,5,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,7,1,8,4]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,7,4,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,7,2,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,8,7,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,6,4,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,2,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,1,7,6,3,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,5,2,7,8,3]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,6,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,5,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,7,2,4,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,8,3,7,1,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,5,2,4,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,6,3,5,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,7,3,5,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,5,6,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,3,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,6,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,7,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,1,6,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,2,5,4,7,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,2,7,5,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,3,2,6,8,5]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,6,2,8,5,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,2,8,4,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,8,4,3,7,6]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,5,2,8,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,2,5,8,4,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,3,2,7,4,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,4,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,6,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,2,6,5,4,7]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,3,8,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,7,6,4,8,3]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,7,2,5,6]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,6,2,4,5,7]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,5,4,2,6,7]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,4,8,6,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,3,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,3,4,6,5,2,7]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,6,5,2,7]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,2,6,4,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,5,2,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,2,6,3,7]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,5,6,2,7]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,1,6,4,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,2,6,3,7]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,1,6,3,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,5,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,5,2,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,5,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,5,3,4,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,3,4,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,3,6,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,3,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,3,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,6,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,4,6,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,2,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,6,2,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,5,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,6,1,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,6,4,2,9,7,5,3]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[9,7,5,3,1,8,6,4,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,6,4,2,1,7,5,3,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,5,3,1,6,4,2,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[7,5,3,2,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,5,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,6,4,3,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,9,7,5,3,2,8,6,4]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,8,7,6,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,9,8,6,4,2,7,5,3]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,8,6,4,2,9,7,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[8,4,6,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,2,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,6,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,2,5,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,6,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,6,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,7,6,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,6,4,3,5,7]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,7,2,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,2,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,8,1,4,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,5,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,3,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,8,1,5,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,4,3,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,5,3,8,6,4]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,3,4,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,6,7,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,2,4,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>1
[8,6,5,4,3,2,1,7,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[3,1,2,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>1
[6,3,5,1,2,4,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>1
[9,7,6,5,4,3,2,1,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[10,8,6,9,4,7,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,4,8,7,5,3,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,1,4,3,8,7]=>[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,1,2,4,3,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,5,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,8,7,5,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,7,3,6,5]=>[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,8,7,3,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,1,2,6,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,3,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,3,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,6,5,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,6,5,3,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,4,3,6,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,3,4,6,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,7,5,1,2,4,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,4,3,6,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,3,4,1,6,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,3,1,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,3,1,4,6,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[4,3,1,2,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,8,7,5,6,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,3,1,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,2,4,6,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,3,6,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,1,2,3,5,4,6,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,9,2,3,4,5,6,8,7]=>[1,9,3,4,5,6,7,8,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[7,1,2,6,4,5,3,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,2,4,3,5,6,8]=>[7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,10,2,3,4,5,6,7,9,8]=>[1,10,3,4,5,6,7,8,9,2]=>[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[4,7,3,6,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,2,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,5,2,4,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,5,7,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,8,4,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,2,4,5,7]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,5,8,6,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,3,2,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,7,2,4,6]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,6,2,4,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,2,1,3,7,5,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,7,6,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,5,6,7,8,10,2,9]=>[1,9,3,4,5,6,7,10,2,8]=>[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,5,7,3,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,6,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,7,6,8,2,5]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,3,6,7,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,7,6,8,2,5]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,6,8,2,5]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,6,8,2,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,7,4,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,4,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,5,4,3,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,7,5,4,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,2,8,4,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,5,4,3,6]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,7,6,8,2,5]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,8,4,3,6]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,1,6,8,2,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,6,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,7,3,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,6,7,3,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,5,4,1,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,5,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,7,6,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,7,3,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,7,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,9,8,7,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,4,9,8,7,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,3,9,8,7,6,5,4,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[8,7,1,9,6,5,4,3,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,8,10,9,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[6,7,9,1,8,5,4,3,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,7,10,9,8,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[5,6,9,8,1,7,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,1,8,7,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,9,8,7,1,6,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,5,10,9,8,7,6,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[4,5,8,7,3,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,10,9,8,7,6,5,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[9,8,1,10,7,6,5,4,3,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,9,11,10,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>1
[1,7,6,9,8,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[7,8,10,1,9,6,5,4,3,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,11,10,9,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>1
[1,6,9,5,8,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[8,7,6,1,9,5,4,3,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,10,9,1,8,5,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,1,8,4,7,6,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,9,8,4,7,6,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,9,5,1,8,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,10,9,8,1,7,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,6,11,10,9,8,7,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>1
[1,4,9,8,7,3,6,5,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[5,6,9,8,4,1,7,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,5,10,9,8,7,1,6,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,5,11,10,9,8,7,6,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>1
[1,5,8,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,9,8,7,6,2,1,5]=>[8,7,9,6,5,4,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,3,11,10,9,8,7,6,5,4,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>1
[8,1,7,2,5,6,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,2,7,6,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,4,8,6,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,6,7,5,8,3]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,6,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,7,8,6,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,5,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,2,5,6,7,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,6,8,2,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,4,1,6,5,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,5,8,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,1,4,8,7,6]=>[4,2,5,1,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,7,1,3,6,8,5,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,3,8,4,6,5]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,6,2,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,4,5,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,1,8,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,7,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,4,1,5,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,1,2,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,6,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,4,6,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,6,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,4,5,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,1,6,4,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,4,5,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,1,7,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,1,6,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,3,1,6,4,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,5,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,2,7,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,2,5,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,2,3,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,2,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,3,4,5,2,6,7]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,4,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,6,4,1,5,7,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,3,2,5,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,3,2,6,7]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,4,2,5,8,6]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,2,4,3,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,1,4,7,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,1,4,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,6,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,3,1,2,5,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,3,1,2,4,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,5,3,4,7]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,6,2,4,7]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,5,2,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,2,3,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,5,3,4,6,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,7,3,2,8,4,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,3,2,7,4,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,2,8,5,3,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,2,8,4,3,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,8,6,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,1,7,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,1,8,6,4,5]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,7,8,5,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,1,6,8,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,5,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,6,4,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,1,5,8,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,2,8,5,6,3,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,2,5,6,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,2,3,8,6,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,6,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,2,3,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,2,3,5,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,1,8,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,4,2,5,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,2,1,8,4,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,5,7,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,3,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,4,5,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[9,3,4,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,3,5,7,9,8,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,3,5,9,8,7,6,4,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,3,5,7,9,10,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,3,5,7,10,9,8,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,3,5,10,9,8,7,6,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,3,10,9,8,7,6,5,4,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[6,7,3,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,2,5,6,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,6,2,8,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,4,8,2,6,7]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,5,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,7,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,3,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,4,5,6,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,6,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,2,5,6,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,6,8,7,3]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,5,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,1,2,5,3,8,4]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,3,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,5,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,4,3,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,5,3,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,7,1,6,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,7,1,6,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,1,7,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,1,7,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,1,7,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,4,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,2,5,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,7,5,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,5,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,6,5,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,5,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,6,8,4,7,3]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,3,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,3,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,5,3,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,5,3,6,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,3,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,6,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,6,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,3,6,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,3,1,4,8,6]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,3,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,2,4,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,7,6,1,8,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,8,4,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,8,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,8,5,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,2,5,4,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,1,5,4,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,8,3,1,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,2,6,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,8,3,7,4]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,7,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,8,2,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,7,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,3,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,4,8,3,7,5]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,4,5,1,3,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,4,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,7,8,3,6,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,8,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,8,2,4,3,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,4,7,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,3,2,7,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,8,5,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[1,6,3,8,4,2,7,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,5,7,8,3,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,6,7,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,6,3,4,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,8,3,6,5,1,7]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,2,4,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,1,8,6,3]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,3,4,7,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,5,7,8,3]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,4,5,2,7,6]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,5,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,7,2,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,5,8,4,3,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,5,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,5,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,8,6,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,4,7,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,5,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,6,4,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,7,4,6,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,8,6,4,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,7,8,1,6,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,5,6,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,7,6,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,5,1,7,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,6,3,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,1,4,8,3,7,5]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,1,3,7,6]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,1,3,5,6]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,6,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,8,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,3,6,5,2,7]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,6,4,7,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,1,8,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,8,3,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,7,3,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,2,6,1,7,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,4,8,5,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,2,7,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,7,2,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,7,3,4,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,4,6,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,6,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,7,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,6,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,5,2,6,7]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,6,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,8,5,7,2,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,4,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,4,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,6,1,4,7,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,8,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,8,2,1,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,8,4,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,7,8,3,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,2,4,5,3,7,8]=>[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[8,1,7,3,2,6,4,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,2,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[5,4,1,2,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[7,3,4,6,1,2,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[6,8,5,1,7,2,3,4,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,3,4,5,7,1,2,6,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[7,9,4,6,1,8,2,3,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,1,2,3,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>1
[7,3,4,6,1,2,5,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>1
[7,9,4,6,1,8,2,3,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,8,10,1,7,2,9,3,5,4]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,10,4,5,7,1,9,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,2,1,5,4,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,2,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,2,3,5,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,7,3,4,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,7,1,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,4,5,7,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,8,7,5,1]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,3,6,1,5]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,7,2,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,8,7,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,8,7,2,5]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,5,7,2,6]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,2,5,7,6]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,5,2,7,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,2,5,4,7,6]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,6,8,7,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,5,7,6,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,1,4,7,6]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,7,1,3,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,5,2,4,7,6]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,6,4,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,5,6,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,1,4,3,2,5,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,3,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,1,5,8,7,4]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,5,8,7,4]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,5,6,8,2]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,7,1,6,8,5]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,1,6,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,5,3,7,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,5,3,7,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,7,5,6,8,3]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,4,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,5,4,7,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,5,2,7,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,5,4,7,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,5,6,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,5,4,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,4,6,7,1]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,4,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,3,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,3,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,5,4,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,2,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,8,5,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,6,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,6,3,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,6,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,3,1,5,7]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,1,4,3,8,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,5,4,2,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[7,6,4,8,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,1,3,4,7]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,1,3,7,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,4,1,3,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,7,5,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,6,3,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,4,7,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,1,8,6,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,7,3,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,4,1,7,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,4,6,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,3,1,6,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,7,3,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,8,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,7,4,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,7,5,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,8,3,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,6,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,2,7,8,4,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,8,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,2,5,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,2,5,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,2,5,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,1,5,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,4,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,1,8,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,3,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,3,6,1,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,8,1,4,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,7,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,6,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,6,5,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,8,3,4,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,3,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,5,3,2,4,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,1,6,7,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,6,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,6,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,8,4,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,5,4,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,7,3,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,6,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,4,6,2,8,5]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,6,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,4,7,1,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,5,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,8,3,4,7,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,5,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,3,5,4,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,8,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,6,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,2,5,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,7,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,3,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,7,8,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,2,5,4,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,3,5,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,1,4,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,2,5,7,8,4]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,4,2,6,8,5]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,5,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,3,2,8,4,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,2,7,8,4,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,8,6,2,3,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,4,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,7,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,3,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,5,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,3,2,7,8,4]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,7,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,5,2,1,7,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,8,2,6,1,7,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,4,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,3,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,2,7,1,6,3,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,2,8,1,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,5,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,8,1,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,2,5,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,3,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,8,1,3,4,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,3,4,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,3,4,2,6,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,3,4,2,8,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,8,2,5,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,7,8,4,6,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,3,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,3,6,2,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,3,5,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,5,8,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,5,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,8,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,6,3,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,5,8,4,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,2,5,8,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,1,2,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,3,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,1,2,6,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,2,8,5,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,4,6,8,2]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,2,6,8,4]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,5,6,1,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,5,2,7,3]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,1,6,7,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,4,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,5,2,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,2,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,4,6,7,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,3,6,7,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,1,7,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,1,6,4,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,3,8,2,4,6,7]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,2,7,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,6,3,5,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,1,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,6,3,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,1,7,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,1,7,4,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,1,8,6,5,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,8,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,1,3,5,7,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,6,4,2,9,1,3,5,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,4,2,7,1,3,5,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,4,2,5,1,3,6,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,5,2,3,1,4,6,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,1,2,4,6,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,2,1,3,5,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,2,1,4,3,5,7,9]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,4,2,7,1,3,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[8,6,4,2,9,1,3,5,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,2,8,3,1,4,5,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,4,2,5,1,3,6,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,4,2,7,1,3,5,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[2,7,8,3,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,6,7,2,3,1,4,5,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,4,2,5,1,3,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[9,7,4,5,1,2,3,6,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,5,2,3,1,4,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[9,7,5,3,1,2,4,6,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[1,8,5,3,2,6,7,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,5,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,7,3,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,2,3,4,8,6]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,2,4,8,6,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,6,2,3,5,7]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,2,3,8,5,6]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,4,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,5,6,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,3,4,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,5,2,3,8,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,4,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,3,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,5,6,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,2,7,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,2,6,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,2,5,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,6,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,3,7,6,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,6,4,7,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,6,2,7,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,5,2,3,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,8,7,5,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,7,5,8,1,6]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,4,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,4,6,8,1]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,4,8,6,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,4,8,6,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,6,4,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,6,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,6,8,2,5,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,1,4,6,7]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,6,7,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,7,4,3,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,2,5,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,9,1,2,3,4,8,5,7]=>[8,9,3,4,5,6,7,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,10,1,2,3,4,5,9,6,8]=>[9,10,3,4,5,6,7,8,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,7,1,2,6,8,3,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,2,5,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,1,6,5,7]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,1,5,2,7]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,5,7,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,3,1,2,5,8,4,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,8,4,5,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,3,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,3,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,5,4,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,6,8,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,2,4,7,6,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,1,6,4,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,2,7,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,2,1,8,4,3,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,6,8,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,3,8,2,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,6,7,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,6,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,7,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,2,8,5,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,2,6,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,3,5,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,1,2,5,6,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,6,8,5,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,1,6,3,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,4,2,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,4,5,1,6,7]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,1,5,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,3,8,4,1,6,5,7]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,1,5,8,7,3]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,7,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,4,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,5,1,3,6]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,8,7,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,7,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,3,7,6,5]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,7,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,8,7,6,2]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,5,8,1,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,4,1,5,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,1,4,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,7,1,8,6,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,4,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,5,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,4,2,5,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,1,5,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,7,1,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,1,5,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,6,3,4,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,1,5,2,6,8,4]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,8,3,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,6,7,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,5,2,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,7,1,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,4,8,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,4,5,2,8,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,6,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[6,5,7,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[6,5,4,7,8,3,2,1,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[7,8,9,5,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,7,8,9,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,8,9,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,5,7,8,9,3,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,5,8,9,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,5,4,7,8,9,2,1,3]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,4,3,7,8,9,1,2]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,8,7,11,12,9,10]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>5
[2,1,4,3,6,5,9,10,7,8,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>5
[2,1,4,3,6,5,10,11,12,7,8,9]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>4
[2,1,4,3,7,8,5,6,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>5
[2,1,4,3,7,8,5,6,11,12,9,10]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>4
[2,1,4,3,8,9,10,5,6,7,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>4
[2,1,4,3,9,10,11,12,5,6,7,8]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,5,6,3,4,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>5
[2,1,5,6,3,4,8,7,11,12,9,10]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>4
[2,1,5,6,3,4,9,10,7,8,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>4
[2,1,5,6,3,4,10,11,12,7,8,9]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>3
[2,1,6,7,8,3,4,5,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>4
[2,1,6,7,8,3,4,5,11,12,9,10]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>3
[2,1,7,8,9,10,3,4,5,6,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,8,9,10,11,12,3,4,5,6,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[3,4,1,2,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>5
[3,4,1,2,6,5,8,7,11,12,9,10]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>4
[3,4,1,2,6,5,9,10,7,8,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>4
[3,4,1,2,6,5,10,11,12,7,8,9]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>3
[3,4,1,2,7,8,5,6,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>4
[3,4,1,2,7,8,5,6,11,12,9,10]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>3
[3,4,1,2,8,9,10,5,6,7,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>3
[3,4,1,2,9,10,11,12,5,6,7,8]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>2
[4,5,6,1,2,3,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>4
[4,5,6,1,2,3,8,7,11,12,9,10]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>3
[4,5,6,1,2,3,9,10,7,8,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>3
[4,5,6,1,2,3,10,11,12,7,8,9]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>2
[5,6,7,8,1,2,3,4,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[5,6,7,8,1,2,3,4,11,12,9,10]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>2
[6,7,8,9,10,1,2,3,4,5,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[3,5,7,6,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,7,6,1,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,4,3,7,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,5,3,6,4,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,3,7,5,1,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,7,3,6,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,6,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,8,2,5,4,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,6,5,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,7,2,5,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,6,4,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,6,5,1,7]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,1,6,3,7]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,1,5,3,7]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,3,7,5,2,6]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,1,4,8,5,3,7]=>[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,4,8,6,3,7]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,5,8,6,4,7]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,2,8,3,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,7,4,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,6,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,8,5,2,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,4,8,5,2,6]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,6,3,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,8,4,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,4,8,5,1,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,8,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,3,7,4,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,4,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,4,8,6,2,7]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,4,3,7,5,1,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,3,8,5,1,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,8,5,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,3,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,1,3,6,4,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,6,5,2,7]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,1,6,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,3,1,7,4,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,4,1,7,5,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,7,4,1,6,5,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,7,3,1,6,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,3,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,6,3,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,2,4,8,6,3,7]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,1,3,7,5,2,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,5,3,7,4,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,8,5,1,6,4,7]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,1,5,3,7]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,4,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,2,5,6,4,8]=>[7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,5,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,1,4,3,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,1,4,3,6]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,5,2,7,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,2,6,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,8,6,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,2,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,6,4,3,2,1,5,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,5,4,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,6,5,4,1,2,3,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[9,8,7,6,5,4,2,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,7,6,5,2,3,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[9,8,7,6,5,3,2,1,4,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,7,6,3,4,2,1,5,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[9,8,7,6,4,3,2,1,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,7,4,5,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[9,8,7,5,4,3,2,1,6,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,5,6,4,3,2,1,7,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[9,8,6,5,4,3,2,1,7,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,7,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[8,6,2,3,1,5,7,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,7,4,8,6,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,3,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,7,3,6,8,5]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,1,7,8,5,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,3,4,2,1,5,8,6]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,3,2,4,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,6,4,7,8,5,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,6,3,2,4,7,8,5]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,3,2,4,7,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,8,4,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,3,8,5,6,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,5,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,1,3,6,8,5]=>[4,8,5,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,4,6,7,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,8,7,6,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,8,7,6,5,9,3,2,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,8,7,6,5,4,9,2,1]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,8,7,6,5,4,3,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,6,1,5,4,7,3,8]=>[3,7,1,5,4,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,6,8,4,5,7,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,3,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,1,3,6,5]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,8,6,3,5,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,8,5,4,7,1,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,8,3,7,5]=>[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,1,4,8,7,3]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,7,1,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,7,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,6,7,8,1,5]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,1,3,7,4]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,6,4,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,5,2,6,1,4,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,6,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,2,4,6,7,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,1,8,5,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,8,5,4,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,6,4,8,5]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,2,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,2,3,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,2,6,4,7,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,4,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,5,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,7,4,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,4,5,7,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,2,5,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,5,4,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,5,8,1,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,8,4,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,4,5,6,9,2,7]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[8,1,9,4,5,6,7,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,3,4,5,6,1,8,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,9,3,4,5,6,7,10,2,8]=>[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[7,8,3,4,5,2,9,1,6]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,3,2,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,9,5,6,7,4,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,1,8,4,5,3,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,6,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,1,10,4,5,6,7,8,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,9,3,4,5,1,7,8,2]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,10,3,4,5,6,7,1,9,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,6,2,5,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,6,2,8,7,3]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,1,6,8,4]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,6,3,7,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,2,1,3,6,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,5,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,5,7,3,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,7,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,1,6,8,2,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,2,1,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,7,1,2,3,4,9,5,6,8]=>[10,9,3,4,5,6,8,7,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,2,3,4,8,5,6,7]=>[10,9,3,4,5,6,8,7,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,3,2,1,5,4,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,4,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,6,3,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,3,4,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,6,1,5,2,7]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,8,7,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,3,7,2,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,1,3,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,7,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,6,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,7,6,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,3,7,1,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,4,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,1,4,6,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,3,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,1,5,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,4,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,5,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,8,5,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,8,5,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,1,3,5,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,1,3,6,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,5,6,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,4,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,1,8,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,5,8,7,3]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,5,8,4,1,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,4,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,4,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,1,4,6,7]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,1,3,2,6,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,3,6,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,3,4,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,6,1,7,3,4,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,8,3,7,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,4,2,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,5,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,3,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,8,1,4,2,7,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,6,3,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,6,5,3,7,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,7,2,6,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,2,6,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,3,5,7,6]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,6,5,7,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,7,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,5,4,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,5,3,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,4,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,4,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,6,3,4,8,5]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,1,6,3,2,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,2,6,3,4,5,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,5,1,6,3,4,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,1,4,6,2,5,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,6,5,4,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,4,3,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,2,4,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,4,7,2,6,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,1,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>2
[6,7,1,3,2,8,5,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,8,7,2,5,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,7,1,4,2,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,4,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,5,4,1,3,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,3,5,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,1,5,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,3,9,8,7,6,5,4,1]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,7,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,1,6,5,4,3,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,1,5,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,1,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,10,1,8,7,6,5,4,3,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,1,8,7,6,5,4,3,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,1,7,6,5,4,3,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,1,6,5,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,1,5,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,1,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,4,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,2,6,1,5,8,3,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,6,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,8,2,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,7,2,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,2,8,5,4,3,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,8,3,6,2,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,7,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,4,5,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,4,6,3,7]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,4,5,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,4,6,7,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,5,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,1,2,4,6,7,5]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,5,8,2,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,6,4,2,3,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,5,4,3,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,5,4,3,7]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,1,4,7,6]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,3,7,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,3,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,8,3,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,3,7,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,6,8,7,2,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,2,8,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,8,7,6,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,5,7,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,5,7,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,5,1,8,3,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,6,3,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,8,7,3,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,7,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,8,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,4,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,4,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,4,1,8,6,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,1,8,6,3,7]=>[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,3,7,8,2,6,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,2,1,7,5,6]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,1,8,4,6]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,2,3,5,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,1,3,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,5,8,3,4,7]=>[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,5,2,6,7]=>[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,7,2,8,5]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,2,4,5,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,8,1,6,5,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,5,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,7,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,6,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,7,5,1,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,3,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,4,5,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,1,2,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,3,1,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,2,1,3,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,1,3,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,3,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,1,5,4,6,2,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,2,8,5,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,1,8,6,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,5,1,8,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,7,2,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,2,1,7,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,5,8,2,7,4]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,8,3,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,3,7,8,2,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,3,2,7,5]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,8,6,2,5,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,1,2,7,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,7,4,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,5,8,7,4]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,2,6,5,8,4]=>[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,5,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,9,8,7,5,6,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,1,3,5,8,7,4,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,4,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,4,1,5,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,8,7,6,3,5]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,6,2,8,7]=>[6,2,3,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,3,8,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,1,3,7,5]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,6,1,4,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,6,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,3,5,2,8,6]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,4,3,8,1,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,2,7,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,6,3,7,5]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,2,7,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,7,6,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,1,2,6,5,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,1,6,3,7,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,2,5,4,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,3,2,5,6,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,5,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,3,5,2,4,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,5,2,4,6]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,3,5,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,3,2,5,6,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,8,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,8,5,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,8,2,5,4,6]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,6,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,4,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,6,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,7,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,5,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,4,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,4,3,8,5,6]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,2,3,8,5,4,1,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,6,3,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,5,2,7,3,4,6,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[9,8,7,6,2,3,4,5,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[1,10,7,6,2,3,9,4,5,8]=>[1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,7,2,3,4,5,6]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,4,8,2,3,6,5,7]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,2,6,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,2,4,5,8,6]=>[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,2,1,6,8,7,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,5,8,6,2,7,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,8,4,1,7,6,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,5,7,4,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,8,6,3,5,7]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,6,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,5,3,4,7]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,3,4,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,2,1,7,3,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,2,5,8,7,4,6]=>[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[6,5,2,1,8,4,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,2,8,1,4,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,4,8,6,1,7]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,4,7,5,1,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,5,7,4,8,1,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,1,7,6,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,2,5,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,3,5,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,6,2,3,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,7,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,3,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,7,5,2,8,6]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,6,1,8,4,7]=>[5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,3,1,7,4]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,3,6,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,4,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,8,3,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,2,3,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,2,5,7,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,8,1,5,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,8,1,5,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,7,5,8,1,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,2,4,7,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,1,3,6,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,2,7,4,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,4,1,6,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,8,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,7,5,6,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,3,2,6,7]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,7,6,4,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,3,8,5,1,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,3,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,4,1,7,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,8,5,3,7,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,3,6,7,2]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,7,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,1,3,6,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,8,7,4,6,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,4,6,3,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,3,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,3,2,7,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,7,8,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,6,8,4,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,8,4,3,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,8,4,3,7,6]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,4,7,8,5,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,4,3,5,6]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,3,7,5,8,4]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,3,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,2,8,5,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,2,4,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,2,4,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,5,2,6,7]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,5,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,8,2,1,4,5,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,3,1,7,4,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,1,7,4,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,6,1,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,8,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,1,4,8,3,6]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,2,6,8,4,5]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,8,2,4,6,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,4,8,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,4,2,7,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,6,2,7,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,1,3,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,4,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,1,3,6,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,4,3,6,7]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,2,3,8,7,6]=>[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,3,5,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,4,6,3,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,3,7,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,6,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,8,1,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,2,5,4,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,9,7,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,5,4,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,9,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,4,9,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,5,3,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,3,9,4,2,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,2,9,3,1]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,4,3,8,7,6,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[9,8,5,4,7,6,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[1,10,5,4,7,6,9,8,3,2]=>[1,10,9,8,6,5,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,10,5,4,9,8,7,6,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,10,7,6,5,4,9,8,3,2]=>[1,10,9,8,6,5,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,10,9,6,5,8,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,6,2,8,7,4,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,2,3,5,8,6]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,2,3,6,4,7]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,8,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,5,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,7,4,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,2,7,4,3,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,7,5,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,7,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,8,7,6,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,7,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,2,6,8,7,4]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,6,8,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,6,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,2,6,3,4,7]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,6,3,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,2,8,5,4,7]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,6,4,2,5,7]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,4,2,3,8,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,7,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,5,4,1,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,6,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,1,6,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,1,4,3,6]=>[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,1,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,6,8,3,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,7,2,8,5]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,2,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,2,6,7,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,3,6,5,2,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,5,7,6,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,5,2,3,8,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,5,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,6,5,1,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,3,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,1,7,5,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,8,6,2,4,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,8,1,3,7]=>[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,4,7,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,7,1,6,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,7,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,7,4,3,6,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,8,2,1,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,2,3,5,6]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,3,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,5,2,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,7,1,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,8,5,2,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,4,7,5,6]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,1,8,5,2,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,5,6,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,4,2,3,6,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,6,1,2,4,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,7,8,6,3]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,4,6,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,7,3,4,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,2,6,4,5,8,3]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,6,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,4,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,2,7,3,4,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,5,3,4,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,6,2,5,3,4,7]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,5,3,4,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,4,5,6,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,7,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,7,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,6,4,5,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,2,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[6,3,1,2,7,4,5,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,7,4,2,3,5,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,3,4,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,8,2,5,3,4,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,5,3,4,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,7,2,6,3,4,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,8,2,6,3,4,7]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,7,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,7,3,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,8,6,3,5,1,7]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,1,5,8,7]=>[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,8,3,5,1,4,7]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,5,8,4,7]=>[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,1,6,5,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,3,6,8,5]=>[4,5,8,1,2,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,1,3,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,4,6,3,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,7,1,6,3,5,8]=>[4,6,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,7,1,4,3,6,8]=>[4,6,7,1,5,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,7,3,1,4,6,8]=>[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,3,7,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,2,8,1,4,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,4,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,1,3,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,4,6,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,6,3,8,5]=>[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,6,8,3,5]=>[4,7,8,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,2,4,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,1,4,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,3,2,5,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,4,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,5,3,6,7]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,2,5,3,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,3,2,6,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,9,1,8,7,6,5,4,3]=>[3,9,1,8,7,6,5,4,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,2,5,7,3,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,4,5,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,3,2,6,7]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,2,1,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,4,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,7,1,5,2,6,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,6,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,3,1,7,2,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,4,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,4,1,7,3,5,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,2,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,1,3,6,8,5]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,7,1,4,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,5,7,1,4,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,1,7,3,5,6,8,4]=>[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,1,6,3,5,7,8,4]=>[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,6,2,1,4,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,5,1,6,4,3,7,8]=>[3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,5,4,1,6,3,7,8]=>[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,1,5,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,7,6,1,8,4,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,2,4,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,7,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,8,1,6,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,5,4,3,7]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,1,4,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,5,8,4,3,7]=>[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,2,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,3,6,1,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,5,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,4,5,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,2,1,4,3,7,6,5]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,1,7,8,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,6,7,2,4,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,8,6,7,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,3,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,6,4,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,5,6,4,7,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,1,4,8,5,6,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,1,3,7,5]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,2,1,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,1,2,3,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[2,6,3,7,5,4,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,3,8,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,4,7,3,6]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,5,7,3,6]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,6,2,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,2,5,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,3,5,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,8,3,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,3,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,3,1,6,4,7,8]=>[4,6,3,1,5,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,1,3,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,7,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,7,4,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,5,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,8,5,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,8,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,5,8,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,3,8,7,5,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,1,8,3,5,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,6,8,2,5,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,6,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,7,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,5,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,4,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,2,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,4,2,5,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,2,6,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,2,4,5,6,3,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,2,1,5,6,4,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,8,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,6,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,5,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,5,6,4,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,3,8,6,2,7,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,8,4,6,7,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,1,5,7,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,6,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,3,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,4,1,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,6,8,4,5]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,6,5,7,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,3,8,4,7,5]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,7,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,5,2,3,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,5,2,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,2,3,7,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,2,5,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,5,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,1,5,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,1,7,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,5,2,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,5,2,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,5,8,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,6,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,4,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,3,4,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[4,1,2,3,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[7,4,5,1,2,8,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,5,1,7,4,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,1,7,3,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,6,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,4,8,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,4,7,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,7,4,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,7,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,2,3,4,5,6,7,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,2,3,4,5,6,7,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,9,8,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,1,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,4,7,8,5,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,4,5,8,1]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,6,5,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,6,4,7,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,2,4,3,5,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,4,7,1,2,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,1,5,2,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,8,7,4,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,8,7,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,3,8,7,6,4]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,5,3,8,4,6]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,2,4,3,6,7]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,6,8,1,5,2,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,7,2,4,3,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,8,6,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,6,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,1,4,7,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,6,8,3,2,4,7,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,1,7,2,4,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,3,2,5,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,2,7,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>4
[5,7,2,8,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,4,1,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,1,6,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,3,1,4,6,7]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,5,7,4,6]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,3,2,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,7,1,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,5,1,4,7]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,6,8,5,3,7]=>[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,3,5,4,2,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,7,6,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,2,4,8,7,5]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,5,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,7,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,4,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,7,5,2,4,6]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,3,2,8,7,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,5,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,5,2,4,6]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,4,9,5,2,10,6,3,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,4,7,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,6,4,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,2,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,3,4,7,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,8,2,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,2,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,2,6,5,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,6,2,5,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,1,8,2,6,3,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,2,6,4,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,2,6,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,1,4,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,7,3,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,9,3,4,5,6,7,2]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,8,7,4,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,8,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,2,3,1,6,5,7]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,8,1,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,8,5,3,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,1,5,8,3,7]=>[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,3,5,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,3,2,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,7,2,8,6,5]=>[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,4,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,3,1,4,5,7,6]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,2,8,4,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,5,6,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,7,8,4,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,6,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,4,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,8,7,6,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,2,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,1,3,5,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,3,7,2,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,4,5,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,2,5,6,7,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,4,3,6,5,8,10,9,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>4
[2,1,4,3,6,8,7,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>4
[2,1,4,3,8,10,7,9,5,6]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>3
[2,1,4,6,5,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>4
[2,1,4,6,5,3,8,10,9,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>3
[2,1,6,8,5,7,3,4,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>3
[2,1,8,5,10,6,7,9,3,4]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[2,4,3,1,6,5,8,10,9,7]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>3
[2,4,3,1,6,8,7,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>3
[2,4,3,1,8,10,7,9,5,6]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>2
[4,6,3,5,1,2,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>3
[4,6,3,5,1,2,8,10,9,7]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>2
[6,3,8,4,5,7,1,2,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[8,5,10,4,7,6,2,9,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,7,10,4,8,6,9,5,1,3]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,8,7,10,12,11,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>5
[2,1,4,3,6,5,8,10,9,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>5
[2,1,4,3,6,5,10,12,9,11,7,8]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>4
[2,1,4,3,6,8,7,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>5
[2,1,4,3,6,8,7,5,10,12,11,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>4
[2,1,4,3,8,10,7,9,5,6,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>4
[2,1,4,3,10,7,12,8,9,11,5,6]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,4,6,5,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>5
[2,1,4,6,5,3,8,7,10,12,11,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>4
[2,1,4,6,5,3,8,10,9,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>4
[2,1,4,6,5,3,10,12,9,11,7,8]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>3
[2,1,6,8,5,7,3,4,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>4
[2,1,6,8,5,7,3,4,10,12,11,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>3
[2,1,8,5,10,6,7,9,3,4,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,10,7,12,6,9,8,4,11,3,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[2,4,3,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>5
[2,4,3,1,6,5,8,7,10,12,11,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>4
[2,4,3,1,6,5,8,10,9,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>4
[2,4,3,1,6,5,10,12,9,11,7,8]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>3
[2,4,3,1,6,8,7,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>4
[2,4,3,1,6,8,7,5,10,12,11,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>3
[2,4,3,1,8,10,7,9,5,6,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>3
[2,4,3,1,10,7,12,8,9,11,5,6]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>2
[4,6,3,5,1,2,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>4
[4,6,3,5,1,2,8,7,10,12,11,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>3
[4,6,3,5,1,2,8,10,9,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>3
[4,6,3,5,1,2,10,12,9,11,7,8]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>2
[6,3,8,4,5,7,1,2,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[6,3,8,4,5,7,1,2,10,12,11,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>2
[8,5,10,4,7,6,2,9,1,3,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[10,7,12,4,8,6,9,5,2,11,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,1,6,7,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,3,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,5,3,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,6,5,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,6,1,5,7,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,5,8,4,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,5,1,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,2,5,3,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,6,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,5,8,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,7,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,5,2,4,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,2,5,8,3,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,2,6,4,8,5]=>[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,3,6,7,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,5,4,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,2,3,6,5,7]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,7,5,3,8,6]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,7,3,2,6,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,2,6,5,7]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,2,6,5,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,8,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,8,3,2,5,6]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,3,2,7,5,6]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,6,4,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,7,3,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,3,7,4,5,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,1,6,8,3,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,4,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,1,8,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,3,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,3,7,2,8,4]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,4,5,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,4,5,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,2,4,5,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,3,4,6,2,7]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,6,5,4,3,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,6,4,5,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,6,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,7,8,2,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,8,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,3,4,7,8,5]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,7,8,9,10,2,3]=>[10,9,4,3,5,6,7,8,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,3,5,2,6,7,8,9,4]=>[1,4,9,2,5,6,7,8,3]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[3,2,5,8,7,4,1,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,7,3,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,6,5,2,7]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,7,2,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,8,5,7,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,3,1,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,1,7,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,3,8,7,2,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,7,2,4,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,1,8,7,6,3,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,8,7,1,4,6]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,8,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,7,1,6,3]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,4,8,5,7,3]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,6,5,8,7,2,4]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,3,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,7,3,5,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,2,5,4,7]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,4,8,5,7,1,6]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,7,5,6,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,3,1,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,1,5,7,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,5,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,1,5,3,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,4,6,7,5]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,8,3,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,6,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,7,2,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,6,3,5,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,1,4,3,5,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,6,3,4,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,7,5,3,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,1,5,6,7]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,5,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,6,3,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,8,4,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,5,3,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,8,4,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,4,8,1,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,1,2,8,4,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,8,5,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,4,1,7,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,7,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,4,7,5,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,2,7,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,7,4,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,7,4,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,6,7,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,4,7,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,6,7,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,6,7,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,4,7,5,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,9,5,1,7,4,10,6,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,3,9,5,6,7,1,10,4,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,3,4,5,7,8,9,10,1,2]=>[10,9,4,3,5,6,7,8,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,5,4,6,7,8,9,1,10,3]=>[8,10,3,4,5,6,7,1,9,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,4,7,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,4,8,1,5,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,1,5,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,2,3,5,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,7,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,3,2,8,7,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,2,3,6,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,8,3,5,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,1,3,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,1,2,5,4,8,7,3]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,5,7,3,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,8,3,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,6,2,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,6,3,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,1,6,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,6,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,5,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,3,2,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,3,7,8,2,4,5,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,4,5,9,2,3,6,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,5,8,3,6,2,4,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,4,9,3,7,2,5,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,9,2,7,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,2,3,4,5,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,3,4,5,6,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,3,8,9,10,2,4,5,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,3,6,10,2,4,7,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,4,5,2,3,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,4,9,3,7,2,5,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,4,10,3,8,2,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,6,5,4,3,10,2,8,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,6,3,8,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,5,7,8,1,4]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,7,2,8,4]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,3,6,2,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,3,4,2,8,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,3,4,2,7,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,1,4,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,4,2,8,7,3]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,4,2,8,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,6,8,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,10,7,6,3,4,9,5,8,2]=>[1,10,9,8,6,5,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,10,9,6,3,8,4,5,7,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,7,3,4,5,6,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[3,8,5,2,1,4,7,6]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,8,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,2,6,5,3,7]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,1,3,6,2,4,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,3,4,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,7,4,3,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,2,6,7,3,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,7,3,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,7,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,6,1,8,2,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,6,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,8,7,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,6,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,8,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,5,8,1,2,7,4]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,1,3,7,4]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,1,6,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,2,3,4,5,1,6,7]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,4,8,9,1,2,3]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,3,1,4,5,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,7,8,9,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,1,2,3,5,4,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,7,5,1,6,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,1,2,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,7,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,4,3,6,7,8]=>[3,5,1,4,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,3,8,2,4,6,1,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,4,6,3,7]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,8,3,6,2,7]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,6,1,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,1,8,5,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,5,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,8,1,5,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,3,8,5,4,6]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,4,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,8,4,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,5,3,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[7,1,2,6,3,8,4,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,5,3,7,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,6,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,2,5,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,3,6,4,5]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,1,2,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,6,7,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,4,3,5,6]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,4,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,6,8,3,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,4,8,3,5]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,6,3,4,8,7]=>[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,3,4,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,8,4,5,7,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,3,7,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,8,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,4,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,5,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,2,6,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,1,8,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,3,7,4,8,5]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,2,5,8,4]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,7,8,2,6,3]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,1,3,6,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,7,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,5,2,1,6,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,6,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,8,7,3,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,4,5,7,8,3]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,5,8,7,1]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,4,5,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,6,4,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,1,5,8,7,3]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,6,5,2,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,4,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,5,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,5,4,7,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,4,6,7,3,8]=>[3,7,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,4,1,5,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,2,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,2,8,7,4]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,4,3,5,8,6]=>[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,7,4,2,6,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,3,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,4,7,5,6]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,7,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,1,8,4,5,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,8,1,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,1,2,5,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,5,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,8,7,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,7,4,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,5,4,7,2,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,8,5,2,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,1,5,7,8]=>[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,2,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,3,2,5,6]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,3,1,5,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,4,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,5,3,6,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,4,1,3,7,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,7,8,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,7,3,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,6,5,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,3,5,7,8,4]=>[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,5,2,6,7]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,4,6,1,7,3,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,2,3,6,8,4]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,1,4,2,5,8,6]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,8,4,1,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[8,6,3,5,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,1,5,4,7]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,4,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,6,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,1,7,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,6,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,6,4,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,3,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,1,3,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,2,6,1,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,6,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,7,2,6,5]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,4,6,2,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,1,3,6,2,5,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,3,1,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,3,7,5,6,2,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,8,3,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,1,7,3,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,6,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,5,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,6,5,3,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,5,3,4,7,8]=>[3,6,1,5,4,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,6,2,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,8,5,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,7,8,5,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,8,6,2,7,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,2,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,2,7,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,3,7,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,2,3,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,3,6,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,7,4,8,3,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,8,1,3,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,6,2,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,6,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,2,8,1,4,6,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,6,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,3,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,3,4,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,1,2,3,7,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,7,6,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,2,8,5,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,8,4,2,1,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,2,5,7,8,4]=>[4,2,8,1,5,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,4,5,3,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[1,3,5,8,2,6,7,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,9,2,5,6,7,8,3]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[6,1,3,7,2,8,5,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,3,7,1,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,6,7,2,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,4,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,6,4,3,7]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,4,2,8,3,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,4,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,7,4,3,2,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,2,3,6,8,5]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,8,1,6,4,2,7,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,4,7,8,2,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,5,7,6,2,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,2,7,8,5]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,7,6,1,8,5]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,5,2,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,6,8,3,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,1,8,6,2,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,2,8,7,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,7,4,3,5]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,6,2,4,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,3,2,4,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,2,8,6,3,7]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,8,5,3,7,6]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,1,6,4,2,5,7]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,8,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,2,4,8,5,1,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,1,7,5,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,6,3,7,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,2,7,5,3,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,1,7,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,5,3,6,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,8,7,6,3,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,3,5,1,7]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,7,1,6,2,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,8,5,3,6,2,7]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,1,5,8,2,7,4,6]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,2,1,5,4,3,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,1,8,5,4,6,2,7]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,5,3,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,7,1,6,3,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,5,7,1,6,8,2]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,3,6,7,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,5,1,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,5,7,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,5,7,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,2,6,8,5,4,7,1]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,5,2,6,3,7]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,5,2,4,7]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,5,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,8,5,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,4,7,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,5,4,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,7,6,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,4,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,5,4,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,2,5,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,8,3,5,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,4,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,7,4,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,6,3,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,3,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,1,7,5,6,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,5,3,6,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,7,3,5,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,1,7,5,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,7,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,8,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,4,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,1,6,8,2,5]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,8,1,3,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,6,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,2,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,1,3,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,3,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,7,8,2,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,8,4,3,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,6,8,3,5,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,1,8,3,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,8,5,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,2,3,8,5]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,4,1,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,9,7,3,4,5,1,2,8]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,2,3,1,8,5,4,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,4,8,3,7]=>[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,9,1,2,3,4,5,6]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,10,8,3,4,5,6,1,2,9]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,5,2,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,5,6,1,7]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,2,3,8,5,6,1,4]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,8,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,2,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,5,1,6,3,7]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,8,4,7,1,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,3,4,7,6]=>[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,7,4,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,3,8,2,7,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,3,5,7,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,3,2,4,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,6,2,8,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,8,7,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,6,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,4,2,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,5,7,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,7,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,6,8,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,4,7,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,9,2,6,7,3,4]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[4,7,9,1,5,8,2,6,3]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,8,9,6,7,4,5,2,3]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,6,9,4,8,2,7,5,3]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[5,9,3,8,1,7,6,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,9,1,8,7,6,5,4,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,9,10,1,2,7,8,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,9,10,5,6,7,2,3,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[7,8,10,4,5,9,1,2,6,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,7,10,1,5,9,2,8,6,3]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,6,10,4,9,2,8,7,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[5,10,3,9,1,8,7,6,4,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,7,3,1,5,2,8,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,7,5,3,8,6]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,7,3,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,1,8,5,4,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,7,4,5,6]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,2,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,9,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,6,7,8,9,1,2,3]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,8,2,7,3,5,6,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,3,5,7,4,8,2]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,5,2,6,1,7,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,5,3,4,7]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,7,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,1,4,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,2,7,8,4]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,3,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,3,5,7,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,4,7,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,5,1,6,7]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,3,7,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,8,7,1,2,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,5,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,8,5,7,1,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,7,1,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,7,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,1,6,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,1,4,6,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,7,4,1,6,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,3,6,4,5]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,5,4,6,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,4,5,6,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,4,2,1,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,5,3,8,4,7,2]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,2,5,4,7,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,4,1,7,5,2,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,4,3,7,6]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,7,5,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,5,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,5,8,4,1,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,8,7,1,4]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,8,4,1,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,8,5,1,6]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,8,5,1,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,8,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,8,7,1,5]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,8,6,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,6,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,8,4,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,6,8,5,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,3,2,5,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,2,1,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,3,2,5,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,4,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,6,4,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,3,4,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,8,6,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,6,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,8,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,7,5,6,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,3,7,4,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,6,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,6,4,1,3,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,8,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,3,1,5,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,3,2,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,1,6,3,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,8,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,4,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,8,6,4,7,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,4,5,7,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,4,7,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,1,8,7,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,8,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,5,7,4,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,7,5,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,3,1,4,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,6,4,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,6,4,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,8,6,4,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,3,6,4,2,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,8,3,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,6,3,4,2,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,4,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,4,2,6,5]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,2,5,3,4,7,8]=>[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,1,2,5,4,3,7,8]=>[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,4,6,7,3,2,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,6,7,3,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,1,6,5,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,5,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,1,4,8,6,5]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,7,8,4,2]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,5,8,7,6,2]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,2,5,6,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,7,3,2,8,5]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,5,6,8,4,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,6,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,1,8,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,2,3,6,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,3,6,4,5,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,3,8,4,5,2,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,3,6,5,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,8,6,3,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,1,3,6,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,1,3,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,5,7,6,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,4,2,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,2,1,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,5,4,3,8,7]=>[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[1,4,2,6,7,8,5,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,3,6,7,8,4,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,2,4,3,5,7]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,4,5,7,8,1,6]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,7,5,8,6,1]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,2,6,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,8,4,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,2,7,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,2,7,5,3,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,3,2,8,1,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,4,3,8,6,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,6,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,8,6,4,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,4,3,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,3,2,6,5,7,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,8,1,6,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,6,1,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,3,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,8,2,6,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,1,6,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,4,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,6,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,8,5,7,1]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,3,5,2,7,6]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,7,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,7,3,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,6,8,1,4,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,8,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,8,2,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,6,3,5,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,5,9,4,8,3,7,2,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,3,6,5,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,7,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,3,8,6,5]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,3,7,6,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,4,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,8,5,2,4,3,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,6,7,1,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,2,5,8,4]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,1,7,8,4]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,5,8,6,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,2,4,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,3,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,6,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,7,4,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,2,7,8,1,3,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,7,8,2,1,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,9,1,3,6,8,10]=>[7,6,3,8,9,2,1,4,5,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[8,6,3,2,1,7,5,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,9,7,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,5,9,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,4,2,9,7,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,5,3,9,6,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,4,8,5,9,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,4,9,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,5,3,1,9,6,4,2]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,4,8,5,2,9,6,3,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,4,2,9,5,3,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,3,8,4,9,5,2,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,3,9,4,2,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,3,8,4,1,9,5,2]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,3,1,9,4,2]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,8,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,6,10,7,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,10,8,6,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,6,4,10,7,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,6,10,7,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,5,10,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,6,4,2,10,7,5,3,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,6,3,10,7,4,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,5,3,10,6,4,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,9,5,10,6,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,4,10,5,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,6,3,1,10,7,4,2]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,5,3,1,10,6,4,2]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,2,9,6,3,10,7,4,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,4,2,10,5,3,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,3,8,4,9,5,10,6,2,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,3,9,4,10,5,2,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,3,10,4,2,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,3,8,4,9,5,1,10,6,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,3,9,4,1,10,5,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,3,1,10,4,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,1,3,4,2,5,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,1,3,6,2,4,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[1,5,7,6,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,3,8,4,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,3,7,8,5]=>[3,8,1,5,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,7,8,4,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,6,3,8,4,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,5,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,5,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,6,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,5,6,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,4,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,3,5,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,6,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,3,1,2,5,4,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,3,2,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,1,3,8,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,2,5,4,6]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,7,6,2,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,4,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,7,1,3,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,5,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,7,3,2,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,8,10,7,9]=>[2,1,4,3,6,5,9,10,7,8]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>4
[6,1,3,4,2,7,8,5]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,3,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,8,4,2,7,6]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,2,1,8,3,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,4,2,6,8,5]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,3,5,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,2,6,7,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,2,5,6,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,4,2,7,5]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,8,3,6,7,4]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,9,4,3,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,2,3,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,4,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,8,5,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,6,3,1,8,4,7]=>[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,2,7,8,6,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,2,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,4,5,3,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,3,8,2,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,4,8,2,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,3,1,5,7]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,5,1,4,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,1,5,8,2,6]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,7,2,5,6]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,1,3,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,6,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,3,6,7,5]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,2,5,7,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,3,7,2,8,4]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,2,3,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,8,4,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,6,4,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,6,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,6,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,8,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,6,4,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,6,4,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,5,6,4,2,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,8,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,6,5,3,4,7]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,1,5,2,3,4,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,2,3,4,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,2,3,8,4,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,4,1,3,5,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,3,7,4,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,5,6,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,3,4,7,6]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,5,1,4,7]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,8,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,4,8,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,5,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,5,4,2,3,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,4,8,5,2,7,6]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,8,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,4,2,5,8,7]=>[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,6,1,4,5,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,2,3,6,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,8,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,4,2,5,7]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,8,6,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,1,3,6,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,7,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,3,1,7,4,5,6]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,6,2,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,6,5,7,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,6,5,3,7,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,7,6,3,8,4]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[4,3,5,1,7,8,6,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,3,4,7,6]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,3,4,7,6]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,8,7,6,2,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,4,8,1,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,4,1,7,5,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,7,1,5,8,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,1,7,5,8,4]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,1,7,4,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,4,2,1,5,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,2,6,5,8,1,7]=>[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,7,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,5,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,1,4,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,2,5,7,6,8,3,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,5,6,4,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,2,3,6,7]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,1,4,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,6,4,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,3,1,6,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,6,2,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,5,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,6,5,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,8,7,2,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,8,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,8,1,2,4,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,5,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,1,8,6,7,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,3,4,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,1,2,4,8,7,3]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,8,6,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,4,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,2,1,4,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,3,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,7,8,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[8,6,7,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,4,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,1,4,8,2,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,7,5,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,7,5,6,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,8,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,8,5,2,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,6,3,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,7,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,7,8,9,2,3,4]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,8,9,10,2,3,4,5,6,7]=>[1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,5,6,7,8,9,10,2,3,4]=>[1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[3,4,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[4,3,1,2,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[3,4,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>1
[4,5,2,1,3,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[5,3,1,2,4,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[4,3,5,1,2,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[4,3,1,2,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>1
[4,6,5,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,5,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,4,5,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,1,5,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,7,3,4,2,5,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,7,2,5,8,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,5,6,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,6,2,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,6,8,2,7,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,3,8,2,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,8,4,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,2,5,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,5,2,1,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,5,6,8,1]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,7,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,5,4,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,1,2,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[6,5,4,3,1,2,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>1
[6,5,4,3,1,2,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>1
[7,6,5,4,3,1,2,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>1
[6,8,7,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,4,5,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,8,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,4,6,5,7]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,7,6,8,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,1,8,4,6,7,5]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,2,3,5,1,8,6,7]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,8,7,2,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,7,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,1,7,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,4,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,2,7,5,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,1,7,6,2,5,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,3,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[2,4,5,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,7,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,3,7,5,2,6,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,3,2,7,5,8]=>[5,2,7,4,1,6,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,1,3,2,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,8,5,6,3,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,1,3,6,8]=>[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,4,1,3,2,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,8,4,5,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,7,4,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,6,3,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,6,3,2,4,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,2,5,1,6,3,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,6,2,4,3,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,3,4,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,6,7,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,6,7,4,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,7,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,5,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,5,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,6,4,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,3,4,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,1,5,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,8,3,2,6,7]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,4,7,8,6,3]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,7,4,3,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,4,8,5,6,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,8,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,4,5,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,2,7,5,8,4]=>[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,5,2,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,7,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,6,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,4,6,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,2,5,4,3,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,2,8,7,3,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,3,5,2,4,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,2,3,5,8,4]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,6,5,2,4,7]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,3,2,8,6,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,5,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,4,3,2,5,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,2,4,6,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,2,8,7,6,1,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,6,5,8,4]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,1,5,8,4]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,5,8,4,3]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,8,5,3,7,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,6,2,8,7,1,4]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,3,4,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,6,7,8,1,3,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,1,3,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,2,6,4,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,1,6,5,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,1,5,8,3]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,6,7,8,1,5]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,2,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,1,8,3,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,3,7,8,2,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,4,3,7,8,5]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,2,3,6,7]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,4,6,3,8,5]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,6,5,3,8,4]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,2,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,2,3,6,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,4,8,7,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,5,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,7,5,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,7,5,4,6]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,1,2,4,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,8,7,5,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,4,6,5,7]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,4,5,7,6]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,7,4,8,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,3,2,7,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,5,4,3,2,1,6,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,5,4,3,2,7,1,8]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,1,5,6,7,8,9,2,4]=>[8,2,9,4,5,6,7,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,3,8,5,6,2,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,7,2,5,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,5,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,1,7,2,5,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,4,8,7,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,1,8,3,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,7,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,4,6,7,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,5,7,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,5,6,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,1,5,3,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,3,5,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,3,5,4,7]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,6,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,2,1,4,7]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,6,1,3,7]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,6,1,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,4,2,7,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,1,4,7,6]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,4,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,8,2,7,5,4,6,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,2,5,7,6]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,2,5,7,6]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,6,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,2,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,5,6,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,6,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,3,4,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,1,3,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,3,2,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,4,8,3,6]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,4,2,7,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,2,8,7,4]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,6,8,4,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,3,2,8,5,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,7,6,8,4,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,5,2,7,6,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,1,5,2,8,7,3]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,5,3,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,4,7,3,6,8]=>[3,6,1,4,7,2,5,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,6,5,7,2,4,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,1,5,7,4,8,3]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,6,3,8,4]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,2,4,7,8]=>[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,6,5,1,4,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,6,5,2,1,4,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,3,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,5,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,4,1,6,3,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,2,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,7,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,5,1,4,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,6,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,6,5,3,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,6,1,2,5,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,5,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,5,7,2,1,4,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,2,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,5,2,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,5,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,8,2,1,4,6,7]=>[5,6,8,4,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,2,4,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,2,1,4,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,2,4,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,2,3,6,7]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,2,1,4,3,6,7]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,1,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,6,3,1,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,6,2,3,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,4,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,8,4,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,4,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,6,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,6,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,4,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,2,4,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,4,2,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,6,2,4,5,7]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,1,4,5,7]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,4,1,5,7]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,4,5,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,4,5,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,2,4,5,7]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,7,2,1,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,2,1,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,6,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,6,2,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,1,3,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,3,5,8,4]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,5,3,7,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,7,3,6,5]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,5,8,4,7,3]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,1,7,4,5,8,6]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,6,8,5,1,7,4,3]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,8,7,3,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,2,1,6,7,4,8,5]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,3,1,7,8,5,2,6]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,4,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,6,4,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,7,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,3,5,6,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,1,4,6,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,5,3,6,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,7,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,7,5,6,1]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,5,3,4,7]=>[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,6,4,5,2,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,5,4,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,6,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,1,4,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,4,6,8,3]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,4,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,1,5,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,3,1,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,6,4,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,5,1,7,4,6,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,4,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,4,6,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,6,3,7,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,6,2,5,7]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,3,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,2,8,7,4]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,5,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,5,8,7,2,4,6]=>[6,2,7,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,8,4,6,1]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,2,6,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,8,4,2,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,3,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,3,2,6,7]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,3,6,1,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,7,4,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,1,6,8,2]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,8,4,6,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,8,4,2,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,1,3,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,4,8,5,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,4,8,1,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,7,4,5,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,3,7,4,5,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,7,4,5,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,6,3,5,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,1,8,5,3,4,7]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,5,3,4,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,4,1,8,6,7,3]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,3,8,6,7,2]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,4,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,1,4,2,5,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,2,4,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,6,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,4,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,7,1,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,3,5,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,2,5,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,5,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,3,7,6,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,3,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,5,1,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,7,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,8,4,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,7,6,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,6,7,5,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,1,7,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,2,8,5,7,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,4,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,6,3,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,6,4,3,7]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,1,3,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,4,7,5,2,6]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,7,1,4,6,8,2]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,6,1,2,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,3,7,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,7,6,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,8,1,7,3]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,6,8,3,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,5,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,4,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,5,1,4,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[1,3,8,4,6,2,5,7]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,2,3,7,5,6]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,3,2,7,6,5]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,9,10,1,5,6,7,3,4,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,7,1,3,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,5,6,3,4,7,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,1,3,4,7,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,3,4,7,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,10,1,3,4,7,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,10,3,4,7,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,5,6,7,3,2,4]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,7,1,3,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,5,6,3,7,2,4]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,1,3,7,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,3,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,10,1,3,7,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,10,3,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,5,6,3,2,4,7]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,1,3,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,3,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,3,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,10,1,3,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,10,3,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,10,3,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,5,3,6,7,2,4]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,1,3,6,7,2,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,3,6,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,10,1,3,6,7,2,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,10,3,6,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,5,3,6,2,4,7]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,1,3,6,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,3,6,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,3,6,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,10,1,3,6,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,10,3,6,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,10,3,6,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,3,6,10,1,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,3,6,10,2,4,7,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,10,1,3,6,7,2,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,10,3,6,7,1,2,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,10,1,3,6,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,10,3,6,1,2,4,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,10,3,6,2,4,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,5,7,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,7,4,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,6,3,2,5,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,3,6,1,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,5,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,7,6,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,1,6,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,4,1,8,5,6]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,1,3,6,5]=>[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,3,7,4,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,1,4,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,5,1,4,3,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,2,7,6,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,2,4,7,6]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,1,7,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,7,1,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,1,7,6,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,2,1,7,6,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,5,6,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,5,2,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,7,6,2,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,7,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,8,2,5,7,3]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,2,4,8,1,7,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,4,6,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,6,8,3,7,4]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,3,1,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,1,3,5,6]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,2,8,4,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,7,3,8,4,5]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,3,4,6,7]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,3,1,5,6]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,3,5,1,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,8,4,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[10,1,9,5,6,7,8,2,3,4]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,1,10,8,6,7,2,3,4,5]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,1,9,10,7,2,3,4,5,6]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,3,4,1,8,6,2,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,8,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,8,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,2,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,7,8,2,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,1,3,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,1,4,5,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,1,5,4,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,1,5,6,4,3,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,1,6,7,5,4,3,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,1,7,8,6,5,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,5,7,1,8,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,5,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,6,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,3,1,2,6,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,1,5,4,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,2,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[7,3,2,6,1,4,8,5]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,8,4,1,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,1,7,3,5,8,9]=>[6,4,7,2,5,1,3,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[5,3,4,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,1,3,4,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,3,8,4,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,4,8,5,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,7,8,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,2,5,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,3,1,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,2,8,3,5,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,5,6,3,2,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,5,2,7,6]=>[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,4,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,5,6,4,3,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,6,5,1,7]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,5,8,6,2,7]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,2,5,4,6,7]=>[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,3,2,8,4,6]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,3,2,4,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,6,7,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,8,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,6,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,1,2,7,8,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,8,7,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,2,7,8,1,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,4,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,7,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,7,3,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,1,8,3,7,4,6]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,3,8,4,6]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,2,6,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,6,3,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,3,1,2,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[9,8,7,6,5,3,2,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,2,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,4,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,7,4,5,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,8,1,7,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,6,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,6,7,9,2,1]=>[9,8,3,6,5,4,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,5,4,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,7,6,3,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,6,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,8,5,6,4,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,4,6,3,8,7]=>[3,6,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,1,5,6,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[8,5,6,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,6,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,7,3,6,8,5]=>[2,1,5,8,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,3,7,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,3,7,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,3,7,8,6,4]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,1,4,7,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,6,7,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,6,5,7,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,7,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,3,2,6,7]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,3,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,3,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,1,4,3,2,5,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,5,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,6,5,7,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,7,5,1,8,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,4,3,6,8,5]=>[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,1,2,4,5,6,8,3]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,1,4,5,6,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,1,4,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,5,4,6,8,3]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,3,8,1,6,7,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,2,5,7,8,3]=>[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,3,4,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,4,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,1,4,7,8,6]=>[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,8,2,3,1,5,7,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,5,2,7,8,6]=>[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,2,3,1,4,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[7,2,1,3,5,6,8,4]=>[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,2,3,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,3,6,2,7]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,4,6,2,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,7,4,3,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,7,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,7,3,8,6,2]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,1,3,8,5,6,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,1,7,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,4,7,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,5,6,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,3,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,7,4,5,8,3]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,2,6,1,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,2,5,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,2,6,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,1,5,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,6,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,9,6,8,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,5,8,4,6,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,5,8,3,6,2,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,4,7,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,9,5,8,3,6,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,5,8,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,8,5,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,9,5,8,4,7,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,4,8,3,6,2,5,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,5,8,2,6,1,4,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,2,7,1,5,4,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,9,5,8,3,6,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,10,6,9,4,7,2,5,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,8,7,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,9,5,8,6,3,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,10,6,9,4,7,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,9,8,5,3,6,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,10,6,9,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,8,6,3,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,10,9,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,8,4,5,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>1
[2,5,3,7,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,6,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,6,5,4,7,2,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,6,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,5,2,7,8]=>[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,6,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,7,6,4,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,1,4,5,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,1,6,5,2,7,8]=>[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,2,6,5,3,7,8]=>[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,1,3,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,6,4,2,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,7,6,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,2,5,3,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,6,5,1,4,8,7,3]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,3,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,1,3,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,2,7,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,5,4,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,5,3,7,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,4,6,7,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,6,4,8,3]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,1,3,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,3,5,8,6,1,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,6,7,4,2,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,8,3,6,7,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,8,5,6,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,8,5,2,4,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,7,1,3,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,4,7,3,5,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,1,6,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,4,7,5,8,6,2]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,3,7,8,6,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,8,3,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,7,2,8,5]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,9,3,2,1,4,5,10,6]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,2,6,3,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,1,3,7,8,6,5]=>[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[2,6,1,5,7,8,4,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,5,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,8,4,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,3,1,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,5,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,8,7,3,5,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,6,5,7,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,4,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,1,3,4,8,7]=>[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,6,5,1,3,4,8,7]=>[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,5,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,4,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,1,5,6,2,4,3,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,6,1,3,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,7,1,4,3,2,6,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,5,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,2,7,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,8,4,6,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,3,2,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,5,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,7,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,2,5,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,8,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,2,1,7,6,3,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,7,8,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,5,1,7,8,4]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,8,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,1,2,8,6,5,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,6,5,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,7,6,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,3,4,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,6,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,4,7,6,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,8,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,4,6,7,5,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,1,8,4,7,6,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,1,7,6,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,1,7,6,3]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,6,7,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,4,3,7,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,6,7,3,5]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,2,8,7,3,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,1,5,8,7,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,5,2,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,7,6,4,5]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,3,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,3,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,3,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,4,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,5,4,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,4,2,5,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,8,1,3,4,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,2,8,3,5,7,6]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,5,4,8,7,2,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,4,8,3,7,5]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,5,4,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,2,8,6,4,7,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,2,7,4,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,6,7,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,2,3,7,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,4,6,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,4,6,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,4,1,6,2,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,7,6,2,5]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[6,4,2,3,1,8,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,1,3,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,8,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,7,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,2,4,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,8,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,6,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,8,3,5,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,3,2,5,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,1,5,2,7]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,6,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,8,6,4,5,1,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,6,2,5,1,7]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,2,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,7,4,2,1,8,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,1,6,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,3,5,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,1,7,3,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,2,4,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,7,1,6,8,3]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,3,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,6,1,3,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,3,7,6,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,3,7,6,1,5,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,7,3,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,2,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,3,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,3,4,1,6,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,6,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,3,1,7,8,4]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,1,4,6,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,1,6,4,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,1,5,4,7]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,1,7,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,7,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,4,5,6,8,3]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,8,1,4,6,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,5,6,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,1,5,4,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,3,1,6,4,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,4,6,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,5,6,8,3]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,8,4,6,7,2]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,2,7,5,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,1,3,5,8,4,6]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,9,8,10,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[2,8,7,9,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,7,2,8,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,3,7,4,6,1,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,7,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,8,4,5,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,8,7,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,5,3,1,8,6,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,3,8,5,2,7,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,5,2,9,6,3,7,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,5,1,8,4,7,3,6,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,4,7,3,6,2,9,5,1]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,3,8,4,6,2,9,5,1]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,4,7,2,5,8,3,6,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,4,6,1,8,3,5,7,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,3,5,7,2,9,4,6,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,2,8,3,9,4,5,6,1]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,3,7,2,9,4,5,6,1]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,8,3,7,2,9,4,6,1]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,6,5,4,7,1,8,2]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,2,9,3,6,5,4,7,1]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,2,7,4,5,6,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,2,9,7,5,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,4,1,8,5,2,9,6,3]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,3,8,5,2,10,7,4,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,5,1,7,3,10,6,2,8,4]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,2,7,3,8,4,9,5,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,5,8,3,6,1,9,4,7,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,4,7,2,10,5,8,3,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,5,7,2,8,3,9,4,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,3,10,5,7,2,9,4,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,3,9,4,7,2,10,5,6,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,4,6,8,2,9,3,5,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,4,5,6,7,1,8,2,9,3]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,2,9,3,10,4,5,6,7,1]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,3,8,2,10,4,5,6,7,1]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,10,4,8,2,9,3,7,1]=>[10,8,9,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,2,7,6,5,4,10,3,8,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,3,7,6,5,4,8,1,9,2]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,2,10,3,7,6,5,4,8,1]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,2,1,3,6,7,8,4]=>[8,3,2,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,2,6,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,7,8,4,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,2,8,4,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,6,2,8,7,3]=>[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,6,2,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,6,4,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,1,5,8,4,7,3]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,3,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,4,5,1,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,7,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,3,6,4,7,5]=>[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,8,1,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,8,1,6,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,5,1,6,2,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,2,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,2,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,2,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,5,7,2,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,5,8,6,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,1,5,7,8,2]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[5,3,1,4,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,3,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,3,4,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,3,7,8,4,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,1,3,7,8,5]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,1,7,5,8]=>[5,7,3,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,6,7,4,8,5,1]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,4,5,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,5,8,4,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,4,5,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,6,1,5,7,3,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,7,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,7,3,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,4,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,7,8,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,2,1,8,4]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,3,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,1,2,7,8,3,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,3,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,1,8,3,4,6,2,7]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,3,7,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,8,2,5,1,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,4,2,3,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,1,6,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,7,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,6,5,8,1,7]=>[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,7,1,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,1,6,3,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,7,4,2,5,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,2,1,5,3,6,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,1,5,6,4,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,4,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,3,6,7,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,2,7,5,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,3,8,1,5,6]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,6,1,3,8,7]=>[5,6,3,4,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,8,2,6,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,4,3,5,7,8]=>[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,8,2,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,8,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,5,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,2,4,3,5,8,7]=>[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,1,3,7,8,5,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,2,6,7,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,6,3,8,7,2,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,2,6,8,7,1,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,2,6,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,3,6,7,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,5,4,7,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,1,5,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,5,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,4,7,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,4,7,6,2,5,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,3,1,6,5,2,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,5,2,4,6,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,4,5,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,5,8,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,3,6,4,5,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,10,1,3,9,2,6,4,5,8]=>[9,10,3,6,8,4,7,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,3,1,8,5,4,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,8,7,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,6,5,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,2,8,1,3,6,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,5,1,4,7,3,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,8,4,1,3,6,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,7,8,1,3]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,3,7,8,1,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,8,7,1,3]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,8,3,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,6,3,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,4,6,8,5,1,7]=>[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,4,1,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,2,7,8,5]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,8,6,2,5]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,5,3,7,6]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,7,6,8,4,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,6,8,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,2,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,1,6,5,8,4,7]=>[3,2,1,7,5,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,6,4,8,5,7,3,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,4,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,3,2,6,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,8,7,6,2,5]=>[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,5,6,8,7,2,4]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,7,5,4,1,6,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,4,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,3,2,8,5,7]=>[5,7,3,4,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,8,3,1,4,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,5,7,1,6]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,2,4,5,3,7]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,4,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,4,7,6,2,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,7,5,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,7,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[8,5,4,1,2,3,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,1,6,4,7,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,4,1,7,5,6]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,3,2,7,8,5]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,5,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,8,2,5,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,1,5,8,2]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,8,1,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,4,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,5,8,1,3,7,6]=>[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,6,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,5,8,4,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,5,6,1,4,7]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,8,1,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,6,1,4,7]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,1,4,6,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,5,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,5,7,8,1,6]=>[7,3,2,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,8,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,4,5,8,1,6,7]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,4,2,7,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,6,2,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,6,3,8,2,5]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,5,1,7,2,8,4]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,2,8,5,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,8,2,4,7,5]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,4,3,8,2,5]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,1,6,5,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,6,2,7,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,8,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,1,5,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,6,5,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,3,8,5,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,6,7,8,1,2,3,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[4,8,1,6,3,7,2,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,6,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,2,4,8,5,3]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,3,2,4,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,5,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,3,5,1,7]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,6,5,2,7]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,1,8,3,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,5,3,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,1,6,4,7]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,2,6,3,7]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,3,7,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,8,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,2,6,3,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,1,2,7,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,2,5,7,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,1,8,5,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,7,1,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,5,4,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,4,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,7,3,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,2,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,10,4,5,6,2,3,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,6,10,2,3,1,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,5,2,3,6,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,10,2,3,6,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,2,3,6,10,1,7]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,5,6,2,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,6,10,2,1,3,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,5,2,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,10,2,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,2,6,10,1,3,7]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,4,5,9,10,2,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,4,5,9,2,6,10,1,3,7]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,5,2,1,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,10,2,1,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,2,10,1,3,6,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,2,1,3,6,10,7]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,2,5,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,10,2,5,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,2,5,6,10,1,3,7]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,4,9,10,2,5,6,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,4,9,2,5,6,10,1,3,7]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,2,5,1,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,10,2,5,1,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,2,5,10,1,3,6,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,2,5,1,3,6,10,7]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,9,10,2,5,6,1,3,7]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,1,8,2,4,3,5,7]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,2,5,3,4,7]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,2,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,1,2,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,8,5,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,5,6,2,7]=>[7,2,3,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,3,1,6,7,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,6,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,2,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,8,1,5,7,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,2,1,5,8]=>[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,7,1,4,3,8,5]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,3,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,4,8,5,6,1]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,6,3,8,4]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,9,10,5,6,7,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,2,5,6,3,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,9,10,2,6,7,3,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,8,9,10,3,6,7,4,5,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,9,10,2,7,8,3,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,6,9,10,3,7,8,4,5,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,6,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,9,10,5,6,7,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,3,5,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,9,10,3,6,7,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,9,10,4,6,7,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,9,10,3,7,8,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,9,10,4,7,8,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,5,6,2,4,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,9,10,1,6,7,2,4,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,9,10,1,6,7,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,9,10,1,7,8,2,4,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,6,9,10,1,7,8,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,3,4,6,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,8,9,10,3,4,7,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,9,10,4,5,7,1,6,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,9,10,3,4,8,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,7,9,10,4,5,8,1,6,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,4,6,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,8,9,10,1,4,7,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,9,10,1,5,7,2,6,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,9,10,1,4,8,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,7,9,10,1,5,8,2,6,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,10,3,4,9,1,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,7,8,10,4,5,9,1,6,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,10,1,4,9,2,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,7,8,10,1,5,9,2,6,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,3,8,5,4,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,1,3,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,3,8,7,4,6,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,3,8,7,4,6,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,7,4,1,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,3,7,1,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,1,2,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,2,1,7,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,7,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,1,8,4,5,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,4,5,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,5,7,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,8,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,7,1,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,4,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,6,3,8,7,2]=>[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,3,2,4,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,4,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,1,3,7,6,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,1,8,2,7,3]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,5,4,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,7,2,5,6,4]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,4,1,8,3,7,6]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,3,7,6,2]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,2,7,6,5,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,5,3,1,2,4,6,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[6,5,3,1,2,4,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>3
[8,7,5,3,1,2,4,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,9,7,5,3,1,2,4,6,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,7,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,2,4,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[3,1,2,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[1,4,3,8,5,7,2,6]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,1,5,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,7,6,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,1,3,6,2,7,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,4,8,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,4,7,3,6,5]=>[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,1,6,5,8,3,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,1,5,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,8,3,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,6,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,3,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,2,8,5,6]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,6,2,5,3,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,2,5,7,3,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,3,1,2,4,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,2,3,6,7]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,5,2,3,7,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,4,2,6,8,3,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,2,4,3,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,3,2,5,4,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,7,2,3,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,6,7,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,5,8,2,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,6,4,8,2,5]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,4,8,7,3,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,3,5,4,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,1,5,8,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,7,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,2,4,6,5]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,3,5,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,1,4,8,3]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,3,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,2,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,7,4,3,6]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,2,4,5,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,7,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,4,5,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,7,5,8,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[7,6,2,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,4,3,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,7,5,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,9,2,3,10,4,5,6]=>[1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[7,1,8,9,10,2,3,4,5,6]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,1,9,10,2,3,4,5,6]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,1,2,10,3,4,5,6]=>[10,9,8,4,5,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,1,10,2,3,4,5,6]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,3,5,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,2,5,4,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,7,3,4,6]=>[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,3,6,8,2,5]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,1,4,6,8,2,5]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,3,6,8,1,5]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,6,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,8,7,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,3,2,5,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,2,7,3,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,6,8,7,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[6,4,8,2,1,7,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[6,8,3,7,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,1,5,3,7]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,3,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,1,2,4,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,7,4,3,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,7,2,5,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,4,1,7,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,6,1,8,7,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,4,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,7,5,8,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,4,7,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,7,5,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,7,4,6,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,3,5,7,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,3,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,4,6,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,3,5,1,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,2,5,8,4,7]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>1
[1,5,3,6,8,2,4,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,1,2,6,3,7,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,6,3,7,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,5,7,8,3]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,2,3,8,6,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,4,7,3,5,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,6,1,7,2,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,3,7,4,5]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,1,3,7,5,6]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,7,6,8,3,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,2,4,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,3,2,4,7,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,3,1,4,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,7,3,1,4,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,1,3,8,5,6]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,3,8,5,4,6]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,3,8,6,4,5]=>[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,7,5,3,2,4,8,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,7,6,5,8,3]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,7,3,4,1,5,6]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,2,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,5,2,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,5,4,7,6]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,1,5,2,7,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,8,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,2,4,3,7,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,3,1,6,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,6,4,7,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,5,8,4,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,6,7,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,5,6,7,8,9,4,3,2]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,4,5,6,7,8,9,3,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,8,9,10,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,7,6,8,9,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,7,8,9,10,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,6,5,7,8,9,4,3,2]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,6,7,8,9,10,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,5,4,6,7,8,9,3,2]=>[1,9,8,4,5,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,5,6,7,8,9,10,4,3,2]=>[1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,4,5,6,7,8,9,10,3,2]=>[1,10,9,4,5,6,7,8,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[4,8,5,1,3,2,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,5,2,3,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,1,5,2,3,6,4,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,3,7,2,5,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,1,2,8,3,7,5]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,7,2,5,8]=>[6,2,3,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,7,4,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,3,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,6,7,1,5,4,8]=>[5,2,7,6,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,5,8,1,3,6,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,3,2,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,1,4,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,5,2,1,7,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,7,1,5,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,7,1,6,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,6,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,6,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,6,5,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,3,6,8,5]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,3,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,1,2,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,8,5,2,7]=>[7,2,3,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,3,2,4,6,7]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,3,4,2,5,7]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,5,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,5,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,8,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[9,8,7,6,5,2,1,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,6,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,1,7,8,4,2,3,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,1,6,7,5,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,7,5,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,1,4,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,10,6,4,2,1,3,5,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,4,2,1,3,6,5,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,4,2,1,3,6,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,2,1,3,7,6,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,5,6,2,1,4,3,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,6,2,1,4,3,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,5,8,2,1,4,6,3,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,2,1,4,6,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,10,2,1,4,7,6,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,7,8,2,1,5,4,3,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,7,10,2,1,5,4,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,10,2,1,5,7,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,2,1,6,5,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,3,4,2,1,5,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,3,4,2,1,5,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,3,4,2,1,6,5,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,3,4,2,1,6,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,3,4,2,1,7,6,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,5,3,6,2,4,1,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,3,6,2,4,1,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,5,3,8,2,4,6,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,10,2,4,6,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,3,10,2,4,7,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,7,3,8,2,5,4,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,7,3,10,2,5,4,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,3,10,2,5,7,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,3,10,2,6,5,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,4,5,6,3,2,1,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,4,5,6,3,2,1,8,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,4,5,8,3,2,6,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,4,5,10,3,2,6,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,10,3,2,7,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,4,7,8,3,5,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,4,7,10,3,5,2,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,4,9,10,3,5,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,4,9,10,3,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,5,6,7,8,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,5,6,7,10,4,3,2,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,6,9,10,4,3,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,5,8,9,10,4,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,6,4,2,1,3,5,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,6,4,2,1,3,5,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,10,6,4,2,1,3,5,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,6,4,2,1,3,5,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,12,6,4,2,1,3,5,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,8,4,2,1,3,6,5,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,4,2,1,3,6,5,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,7,10,4,2,1,3,6,8,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,4,2,1,3,6,8,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,7,12,4,2,1,3,6,9,8,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,9,10,4,2,1,3,7,6,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,9,12,4,2,1,3,7,6,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,12,4,2,1,3,7,9,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,4,2,1,3,8,7,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,5,6,2,1,4,3,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,5,6,2,1,4,3,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,10,5,6,2,1,4,3,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,5,6,2,1,4,3,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,12,5,6,2,1,4,3,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,5,8,2,1,4,6,3,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,5,8,2,1,4,6,3,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,7,5,10,2,1,4,6,8,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,2,1,4,6,8,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,7,5,12,2,1,4,6,9,8,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,9,5,10,2,1,4,7,6,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,9,5,12,2,1,4,7,6,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,5,12,2,1,4,7,9,6,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,5,12,2,1,4,8,7,6,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,6,7,8,2,1,5,4,3,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,6,7,8,2,1,5,4,3,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,6,7,10,2,1,5,4,8,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,6,7,12,2,1,5,4,8,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,6,7,12,2,1,5,4,9,8,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,6,9,10,2,1,5,7,4,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,6,9,12,2,1,5,7,4,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,11,12,2,1,5,7,9,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,11,12,2,1,5,8,7,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,8,9,10,2,1,6,5,4,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,7,8,9,12,2,1,6,5,4,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,11,12,2,1,6,5,9,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,11,12,2,1,6,8,5,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,12,2,1,7,6,5,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,6,3,4,2,1,5,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,6,3,4,2,1,5,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,10,6,3,4,2,1,5,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,6,3,4,2,1,5,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,12,6,3,4,2,1,5,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,8,3,4,2,1,6,5,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,8,3,4,2,1,6,5,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,7,10,3,4,2,1,6,8,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,3,4,2,1,6,8,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,7,12,3,4,2,1,6,9,8,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,9,10,3,4,2,1,7,6,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,9,12,3,4,2,1,7,6,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,12,3,4,2,1,7,9,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,3,4,2,1,8,7,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,5,3,6,2,4,1,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,5,3,6,2,4,1,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,10,5,3,6,2,4,1,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,5,3,6,2,4,1,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,12,5,3,6,2,4,1,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,5,3,8,2,4,6,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,5,3,8,2,4,6,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,7,5,3,10,2,4,6,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,3,12,2,4,6,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,7,5,3,12,2,4,6,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,9,5,3,10,2,4,7,6,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,9,5,3,12,2,4,7,6,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,5,3,12,2,4,7,9,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,5,3,12,2,4,8,7,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,6,7,3,8,2,5,4,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,6,7,3,8,2,5,4,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,6,7,3,10,2,5,4,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,6,7,3,12,2,5,4,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,6,7,3,12,2,5,4,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,6,9,3,10,2,5,7,4,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,6,9,3,12,2,5,7,4,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,11,3,12,2,5,7,9,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,11,3,12,2,5,8,7,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,8,9,3,10,2,6,5,4,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,7,8,9,3,12,2,6,5,4,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,11,3,12,2,6,5,9,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,11,3,12,2,6,8,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,3,12,2,7,6,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,4,5,6,3,2,1,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,4,5,6,3,2,1,7,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,10,4,5,6,3,2,1,8,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,4,5,6,3,2,1,8,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,12,4,5,6,3,2,1,9,8,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,4,5,8,3,2,6,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,7,4,5,8,3,2,6,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,7,4,5,10,3,2,6,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,4,5,12,3,2,6,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,7,4,5,12,3,2,6,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,9,4,5,10,3,2,7,6,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,9,4,5,12,3,2,7,6,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,4,5,12,3,2,7,9,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,4,5,12,3,2,8,7,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,6,4,7,8,3,5,2,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,6,4,7,8,3,5,2,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,6,4,7,10,3,5,2,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,6,4,7,12,3,5,2,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,6,4,7,12,3,5,2,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,6,4,9,10,3,5,7,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,6,4,9,12,3,5,7,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,11,12,3,5,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,4,11,12,3,5,8,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,8,4,9,10,3,6,5,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,7,8,4,9,12,3,6,5,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,4,11,12,3,6,5,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,4,11,12,3,6,8,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,11,12,3,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,5,6,7,8,4,3,2,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,5,6,7,8,4,3,2,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,5,6,7,10,4,3,2,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,5,6,7,12,4,3,2,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,5,6,7,12,4,3,2,9,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,5,6,9,10,4,3,7,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,5,6,9,12,4,3,7,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,5,6,11,12,4,3,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,6,11,12,4,3,8,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,5,8,9,10,4,6,3,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,7,5,8,9,12,4,6,3,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,7,5,8,11,12,4,6,3,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,11,12,4,6,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,10,11,12,4,7,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,6,7,8,9,10,5,4,3,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,6,7,8,9,12,5,4,3,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,6,7,8,11,12,5,4,3,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,6,7,10,11,12,5,4,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,10,11,12,5,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[2,7,4,1,5,8,3,6]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,4,7,8,3,5]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,7,8,3,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,5,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,4,6,7,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,4,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,5,8,4,6,7,2]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,5,8,2,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,1,4,8,3,5]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,4,6,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,4,5,1,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,3,4,2,5,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,4,3,8,6]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,7,8,5,6,1]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,3,8,2,4,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,8,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,8,6,1,7,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,2,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[3,1,2,8,4,5,7,6]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,6,7,2,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,7,4,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,1,5,8,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,8,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,5,1,6,4,3,7]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,1,8,3,6,5]=>[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[6,4,5,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,5,2,4,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,2,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,5,3,4,7]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,8,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,5,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,6,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,6,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,8,1,7,2,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,6,2,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,5,7,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,6,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,5,3,7,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,8,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,7,2,1,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,6,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,3,1,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,2,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,7,4,5,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,5,4,7,6,2,8]=>[7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,6,8,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,5,1,7,3,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,4,2,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,2,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,8,3,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,6,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,7,6,1,5,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,5,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,7,6,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,7,4,6,5,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,1,4,3,7]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,7,2,1,6,5]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,1,7,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,2,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,5,2,6,8,3,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,7,2,4,6,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,2,1,3,4,7,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,3,6,7,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,7,4,5,8,1]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,7,4,5,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,1,8,7,3,5,4]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,8,5,7,1,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,3,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,7,8,2,6,5]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,4,3,8,7,2,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,6,4,3,7]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[10,9,8,6,4,2,1,3,5,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,6,4,2,1,3,5,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,9,6,4,2,1,3,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,4,2,1,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,5,4,2,1,3,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,5,4,2,1,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,5,7,4,2,1,6,3,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,5,9,7,4,2,1,6,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,5,7,4,2,1,6,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,6,5,4,2,1,3,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,9,6,5,4,2,1,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,9,8,5,7,2,1,4,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,3,2,1,5,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,4,3,2,1,5,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,6,4,3,2,1,5,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,9,6,4,3,2,1,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,3,5,2,4,1,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,3,5,2,4,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,3,7,5,2,4,6,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,3,9,7,5,2,4,6,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,3,7,5,2,4,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,6,3,5,2,4,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,9,6,3,5,2,4,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,3,8,6,5,2,7,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,3,5,2,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,5,4,3,2,1,7,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,5,7,4,3,2,6,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,5,9,7,4,3,2,6,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,5,7,4,3,2,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,4,7,6,3,5,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,4,9,7,6,3,5,2,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,4,9,6,8,3,5,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,4,7,6,3,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,9,6,5,4,3,2,8,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,9,8,5,4,3,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,5,9,8,7,4,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,6,4,2,1,3,5,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,6,4,2,1,3,5,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,6,4,2,1,3,5,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,6,4,2,1,3,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,7,6,4,2,1,3,5,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,7,6,4,2,1,3,5,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,9,6,4,2,1,3,8,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,11,9,6,4,2,1,3,8,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,7,9,6,4,2,1,3,8,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,7,6,4,2,1,3,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,7,6,4,2,1,3,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,11,10,7,9,4,2,1,3,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,7,6,4,2,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,6,5,4,2,1,3,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,6,5,4,2,1,3,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,6,5,4,2,1,3,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,6,5,4,2,1,3,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,6,5,4,2,1,3,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,5,7,4,2,1,6,3,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,5,7,4,2,1,6,3,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,5,9,7,4,2,1,6,8,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,5,11,9,7,4,2,1,6,8,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,5,9,7,4,2,1,6,8,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,5,7,4,2,1,6,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,5,7,4,2,1,6,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,5,10,8,7,4,2,1,9,6,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,5,7,4,2,1,6,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,7,6,5,4,2,1,3,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,7,6,5,4,2,1,3,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,9,6,5,4,2,1,8,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,11,9,6,5,4,2,1,8,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,7,9,6,5,4,2,1,8,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,6,9,8,5,7,2,1,4,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,6,11,9,8,5,7,2,1,4,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,6,11,8,10,5,7,2,1,9,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,6,9,8,5,7,2,1,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,7,6,5,4,2,1,3,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,7,6,5,4,2,1,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,11,10,7,6,5,9,2,1,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,11,10,9,6,8,5,2,1,4,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,7,6,5,4,2,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,6,4,3,2,1,5,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,6,4,3,2,1,5,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,6,4,3,2,1,5,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,6,4,3,2,1,5,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,6,4,3,2,1,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,7,6,4,3,2,1,5,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,7,6,4,3,2,1,5,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,9,6,4,3,2,1,8,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,11,9,6,4,3,2,1,8,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,7,9,6,4,3,2,1,8,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,7,6,4,3,2,1,5,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,7,6,4,3,2,1,10,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,11,10,7,9,4,3,2,1,6,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,7,6,4,3,2,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,6,3,5,2,4,1,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,6,3,5,2,4,1,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,6,3,5,2,4,1,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,6,3,5,2,4,1,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,6,3,5,2,4,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,3,7,5,2,4,6,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,3,7,5,2,4,6,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,3,9,7,5,2,4,6,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,3,11,9,7,5,2,4,6,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,3,9,7,5,2,4,6,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,3,7,5,2,4,6,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,3,7,5,2,4,6,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,3,10,8,7,5,2,4,9,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,3,7,5,2,4,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,7,6,3,5,2,4,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,7,6,3,5,2,4,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,9,6,3,5,2,4,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,11,9,6,3,5,2,4,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,7,9,6,3,5,2,4,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,3,8,6,5,2,7,4,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,3,8,6,5,2,7,4,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,3,8,10,6,5,2,7,9,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,3,8,6,5,2,7,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,7,6,3,5,2,4,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,7,6,3,5,2,4,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,11,10,7,6,3,5,2,9,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,3,9,7,6,8,2,5,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,7,6,3,5,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,6,5,4,3,2,1,7,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,6,5,4,3,2,1,7,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,6,5,4,3,2,1,7,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,6,5,4,3,2,1,10,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,6,5,4,3,2,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,5,7,4,3,2,6,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,5,7,4,3,2,6,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,5,9,7,4,3,2,6,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,5,11,9,7,4,3,2,6,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,5,9,7,4,3,2,6,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,5,7,4,3,2,6,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,5,7,4,3,2,6,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,5,10,8,7,4,3,2,9,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,5,7,4,3,2,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,4,7,6,3,5,2,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,4,7,6,3,5,2,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,4,9,7,6,3,5,2,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,4,11,9,7,6,3,5,2,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,4,9,7,6,3,5,2,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,4,9,6,8,3,5,7,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,4,11,9,6,8,3,5,7,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,4,11,6,10,8,3,5,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,4,9,6,8,3,5,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,9,8,4,7,6,3,5,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,4,7,6,3,5,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,11,10,4,7,6,3,5,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,4,10,7,9,6,3,8,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,9,8,4,7,6,3,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,7,6,5,4,3,2,1,9,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,8,7,6,5,4,3,2,1,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,9,6,5,4,3,2,8,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,11,9,6,5,4,3,2,8,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,7,9,6,5,4,3,2,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,6,9,8,5,4,3,7,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,6,11,9,8,5,4,3,7,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,6,11,8,10,5,4,3,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,6,9,8,5,4,3,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,5,9,8,7,4,6,3,2,1,11]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,5,11,9,8,7,4,6,3,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,5,11,8,10,7,4,6,3,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,5,11,7,10,9,4,6,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,10,5,9,8,7,4,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,11,8,7,6,5,4,3,2,10,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,11,10,7,6,5,4,3,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,7,11,10,9,6,5,4,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,6,11,10,9,8,5,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[3,5,6,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,6,8,4,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,2,6,8,1]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,2,6,8,1]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,2,6,8,1]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,2,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,7,2,8,6,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,7,4,8,6,1]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,2,8,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,8,4,6,1]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,7,8,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,6,7,8,9,1,4]=>[8,2,9,4,5,6,7,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,2,5,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,3,5,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,4,3,5,2,7]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,4,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,2,5,3,6,7]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,1,5,3,6,7]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,5,2,6,7]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,5,2,6,7]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,2,5,4,6,7]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,5,4,6,7]=>[4,2,8,1,6,5,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,1,8,7,6,3]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,1,7,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,4,6,8,1,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,8,1,2,5,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,2,1,4,7]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,1,3,7,6]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,8,2,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,6,5,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,3,4,2,6,7,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,8,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,8,2,6,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,8,6,7,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,6,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,1,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,6,2,4,3,8,5]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,6,2,4,5,3,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,1,6,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,8,3,4,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,8,4,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,3,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,2,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,8,6,3,7,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,2,4,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,8,2,6,5,7,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,7,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,7,8,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,3,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,5,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,6,3,7,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,5,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,2,7,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,3,7,6,1]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,2,4,8,6,5]=>[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,1,8,2,6,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,2,5,7,6]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,3,8,1,4,7,6]=>[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,5,8,1,3,7,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,3,5,7,6]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,1,5,7,6]=>[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,7,4,8,6,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,8,5,1,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,5,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,6,5,4,7]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,1,4,5,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,4,1,5,7,6]=>[5,2,8,4,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,1,5,7,6]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,1,5,7,6]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,2,4,8,3,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,4,3,6,5]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,3,2,4,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,3,4,6,7]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,4,1,3,2,5,6,7]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,3,5,4,7]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,5,2,4,6,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,1,5,4,7]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,8,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,8,1,4,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,4,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,1,7,4,5,3,6]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,3,5,8,4,7]=>[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,6,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,8,4,5,1,7,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,6,4,7,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,1,7,8,4,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,6,7,2,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,3,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,4,8,7,2,6]=>[7,2,4,3,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,3,4,8,7,2,6]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,3,8,4,7,6,2]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,4,7,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,1,7,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,4,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,6,8,4,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,6,5,8,4,1,7]=>[7,2,6,4,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,7,4,8,6,5]=>[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[2,3,8,7,6,4,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,4,1,5,8]=>[6,7,3,5,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,2,3,1,6,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,8,3,6,4,2,7,5]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,7,4,8,5,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[8,1,7,3,2,5,4,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,3,6,7,5]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,5,7,4,6,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,3,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,3,7,2,5,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,2,5,3,6,1,4,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,1,4,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,7,4,1,5,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,4,7,8,3,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,5,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,1,7,8,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,6,5,3,7]=>[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,2,4,8,5]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,2,3,7,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,3,6,8,5,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,3,2,6,5,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,6,4,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,7,1,4,6,3,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,8,5,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,5,7,1,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,6,5,8,2,4]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,6,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,4,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,8,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,5,1,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,1,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[5,3,8,1,4,2,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,4,2,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,5,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,7,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,6,1,4,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,1,8,3,7,6]=>[4,6,3,1,8,2,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,5,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,6,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,6,3,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,2,1,5,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,7,4,1,6]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,7,4,6,1]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,8,1,6,4,7]=>[5,2,7,8,1,6,3,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,5,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,1,5,4,2,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,3,1,4,7]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,1,5,7,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,8,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,7,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,8,4,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,7,1,8,4,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,6,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,8,5,4,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,8,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,2,3,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,8,7,3,6,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,1,8,7,5,6,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,7,6,1,5,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,6,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,3,7,6,2,4,8,5]=>[1,5,8,6,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,2,7,4,6,5]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,7,1,6,4,3,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,1,7,5,6]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,4,1,6,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,2,5,1,6,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,7,5,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,6,1,8,5,2,7]=>[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,7,3,6,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,7,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,1,4,7,8,2]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,8,7,3,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,1,8,7,3,4]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,1,5,8,7,4]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,5,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,3,8,4,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,5,2,4,7,3,6]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,4,2,3,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,4,8,5,6,2,7]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,7,1,8,6,5,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,5,6,7,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,2,4,1,5,7,8,3]=>[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,3,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,3,8,1,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,4,8,1,5,6]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,7,4,6,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,2,5,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,4,6,8,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,5,4,8,6]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,8,1,3,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,6,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,4,5,1,2,8,7,3]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,7,6,3,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,7,3,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,4,5,3,6]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,8,7,3,6,5]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,4,3,8,7,5]=>[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,2,4,6,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,2,6,8,5]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,2,6,5,7]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,7,4,5,1,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,5,4,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,1,3,5,4,7]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,2,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,7,4,5,2,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,1,7,3,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,4,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,7,5,6,2]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,7,1,5,6,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,7,2,6,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,7,6,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,1,4,5,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,6,1,5,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,1,3,4,6,5]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,4,2,3,7,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,3,1,6,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,3,1,4,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,4,7,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,2,6,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,7,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,7,5,4,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,3,6,5,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,6,4,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,3,7,6,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,4,7,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,3,8,4,7,1,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,3,5,6,4,7]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,2,3,8,4,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,3,7,6,4,5]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,6,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,2,3,7,4,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,3,7,6,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,5,6,4,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,8,5,2,4,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,8,2,7,5,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,5,2,8,4,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,4,8,6,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,6,3,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,4,8,6,3,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,2,6,1,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,3,5,1,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,1,6,2,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,6,1,2,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,6,2,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,8,1,6,7,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,2,5,4,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,1,7,4,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,1,5,6,8,4]=>[4,8,3,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,6,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[8,3,4,1,6,5,7,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,3,5,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,2,6,4,5]=>[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,6,5,3,8,7,4]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,4,5,2,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,7,5,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,4,3,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,2,5,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,4,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,1,6,8,3]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,8,3,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,5,2,6,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,5,8,4,6,2,7]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,4,1,5,7]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,2,1,3,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,3,5,6,2,7]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,4,2,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,9,8,1,3,4,2,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,3,1,8,5,7,2,6]=>[7,3,2,8,5,6,1,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,4,8,1,6,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,4,5,8,1,6]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,4,6,1,8,5]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,6,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,4,5,7,1,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,4,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,2,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,2,8,6,1,5,7]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,3,2,5,7,8]=>[5,2,6,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[5,7,1,8,4,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,1,5,2,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,5,2,4,7,8]=>[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,7,6,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,5,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,7,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,2,4,1,3,8,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,5,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,4,1,6,7,5]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,4,3,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,4,5,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,5,8,3,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,2,8,1,4,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,7,4,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,4,5,8,6,3]=>[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,5,2,4,8,3,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,4,2,5,6]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,4,7,5,8,3]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,7,4,3,8,5]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,3,6,4,7]=>[1,7,8,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,3,6,7,1,4,8]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,5,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,1,5,7,3,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,3,8,2,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,4,3,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,3,1,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,6,8,2,7,1]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,8,2,4,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,8,2,1,3,5,6]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,7,8,6,1,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,5,8,7,2,6,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,1,8,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,6,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,1,3,8,7,4]=>[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,7,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,4,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,6,1,3,8,4]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,5,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,5,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,4,7,1,8,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,3,7,5,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,9,6,1,2,3,4,10,5]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,7,5,6,1,2,3,10,4]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,5,1,2,3,4,10,6]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,8,3,6,4,1,7,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,3,2,6,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,3,4,8,2,1,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,1,2,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[5,2,7,6,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,2,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,2,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,7,5,6,1]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,3,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,5,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,7,2,4,3,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,3,8,1,4,6]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,1,6,7,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,1,8,5,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,3,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,2,3,8,7,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,3,8,4,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,7,8,3,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,3,7,8,4,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,2,7,8,6,4]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,2,4,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,2,6,8,4,7]=>[7,2,4,3,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,7,6,2,8,5]=>[1,6,3,8,5,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,2,5,7,3,8,4]=>[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,3,8,2,5,7,6]=>[1,5,3,8,2,6,7,4]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,7,2,4,8,3,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,2,8,4,1,5,6]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,1,7,8,6,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,4,5,7,1,6]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,2,6,5,7]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,1,8,4,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,3,7,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>2
[8,1,3,5,6,4,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,5,6,2,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,2,6,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,3,1,6,7,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,5,1,7,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,6,4,1,7,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,3,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,4,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,4,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,5,4,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,4,2,5,3,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,5,1,4,7,6]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,2,6,7,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,2,6,7,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,4,6,7,3]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,1,3,5,2,8,6,4]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,4,7,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,2,1,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,8,5,4,3,7,6]=>[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,2,8,5,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,5,3,2,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,10,6,7,4,5,2,3,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,4,6,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,3,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,9,3,6,1,2,4,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,1,5,8,3,6,2,4]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,5,4,1,3,8,2,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,10,1,2,3,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,10,1,3,7,8,2,4,5]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,7,4,5,1,2,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,4,10,3,7,1,2,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,1,8,9,6,7,4,5,2,3]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,1,4,9,3,7,2,5]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,5,4,1,3,9,2,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,6,5,4,3,1,2,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,5,6,1,2,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,7,1,4,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,8,1,5,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,1,2,6,7,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,6,4,1,7,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,5,8,6,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,2,4,7,6]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,4,8,2,7,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,2,8,5,3,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,6,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,2,8,1,7,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,5,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,1,4,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,2,4,5,7]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[9,6,5,4,3,2,1,7,8]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,7,6,5,4,3,2,1,8,9]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,5,4,3,2,1,6,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,5,2,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,2,6,4,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,5,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,4,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,7,4,8,5,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,8,4,6,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,6,4,3,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,4,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,3,5,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,5,7,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,3,8,2,4,5,6,7,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,3,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,4,6,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,4,1,3,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,1,3,5,7,2,8]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,2,7,5,8,1,6,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,8,5,2,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,6,5,8,1,7,4,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,8,5,2,3,7]=>[7,2,6,8,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,6,7,1,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,2,4,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,6,4,8,3,7]=>[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>1
[3,2,4,5,8,6,1,7]=>[7,2,3,4,8,6,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[4,2,3,6,8,5,1,7]=>[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,4,5,8,6,1,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,3,7,8,2,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,2,5,4,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,3,1,2,5,4,8,6]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,1,3,7,5]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,2,4,3,7,6]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,3,7,8,2,6,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,2,6,7,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,2,5,7,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,7,2,3,6]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,3,2,4,5,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,2,7,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,7,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,2,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,7,3,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,1,7,3,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,7,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,3,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,3,1,2,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,1,7,3,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,3,8,1,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,6,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,7,5,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,6,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,3,7,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,5,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,8,4,6,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,1,2,7,6,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,6,8,5,2,7]=>[1,7,3,6,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,2,8,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,6,4,1,3,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,5,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,4,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,4,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,6,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,7,1,6,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,4,8,3,6,5]=>[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,6,8,4,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,1,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[4,6,8,2,1,5,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,3,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,8,2,6,1,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,6,8,3,2,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,2,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,8,1,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,8,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,3,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,2,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,3,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,6,7,3,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,6,5,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,8,9,1,4,2]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,9,1,3,2]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,2,6,7,8,1,4,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,7,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[3,5,8,1,7,4,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,1,7,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,3,8,2,6,7]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,7,3,6,5,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,1,4,6,2,5,7]=>[6,8,3,4,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,5,6,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,1,6,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,7,8,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,4,1,2,7,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,4,6,1,3,7]=>[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,2,8,1,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,6,2,1,7,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,1,7,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,2,1,7,4,5]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,4,6,5,7]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,3,7,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,6,7,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,6,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,7,5,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,6,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,6,7,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,6,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,3,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,6,1,5,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,5,3,2,7,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,1,3,7,2,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,1,8,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,7,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,6,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,7,5,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,4,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,7,8,2,4]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,6,1,2,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,7,8,6,3,5]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,4,5,8,1,6,3,7]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,8,2,5,7,1]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,6,4,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,6,2,4,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,4,8,5,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,2,5,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,5,1,8,6,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,5,3,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,6,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,5,7,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,6,2,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,4,5,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,9,1,2,3,5]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,7,8,9,1,2,3,4,6]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,7,1,5,3,8,6,4]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,2,8,4,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,5,1,7,6]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,4,8,6,5]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,1,7,6,5]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,1,4,5,8,3]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,6,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,1,5,3,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,2,6,4,5]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,3,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,7,3,4,1,5,8,6]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,1,6,7,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,4,5,1,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,6,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,7,2,8,4,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,6,1,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,4,6,1,5,7,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,5,1,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,2,5,8,7]=>[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,2,7,1,4,3,6,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,4,2,5,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,5,4,1,6,2,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,7,2,8,3,1,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,6,2,8,4]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,2,7,1,8,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,5,3,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,6,7,1,8,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,2,7,8,5,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,7,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,2,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,7,5,2,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,1,4,5,7,6,2,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,3,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,2,4,6,7]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,4,3,6,7]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,1,2,3,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,1,4,2,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,6,3,7,5]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,4,2,3,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,7,8,4,3,5]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,5,3,4,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,5,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,7,2,1,6,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,1,6,7,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,4,2,5,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,3,6,7,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,2,6,3,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,1,4,6,3,7,8,2]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,6,8,2,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,6,7,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,4,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,6,1,3,4,2,7,8,5]=>[9,8,3,6,5,4,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,5,1,8,2,4,3,6,7]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,5,2,6,1,8,3,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,2,4,1,5,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,1,7,8,3]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,2,1,3,6,7]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,3,2,6,5,7]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,2,7,5,6]=>[1,5,8,4,2,7,6,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,8,3,1,4,5,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,2,7,5,4,6]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,5,6,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,5,4,6,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,4,6,5,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,5,6,7,8,9,4,3,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,2,4,6,8,1,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,7,2,4,6,1,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,9,5,10,2,4,6,8,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,8,9,10,7,2,4,6,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,7,5,10,2,4,8,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,6,10,5,7,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,6,5,2,4,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,3,4,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,7,3,8,2,4,6,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,9,10,3,7,2,4,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,7,8,5,2,4,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,3,6,7,5,10,2,4,8,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,8,3,9,10,5,7,2,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,3,6,5,2,4,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,8,5,9,10,3,7,2,6,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,4,8,3,5,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,9,4,10,3,5,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,8,9,10,6,3,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,4,3,2,10,1,9]=>[9,7,6,5,4,3,2,10,1,8]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,5,6,7,4,3,10,2,8,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,4,10,3,7,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,5,10,4,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,2,4,6,8,10,1,3,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,12,9,2,4,6,8,1,3,5,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,11,7,12,2,4,6,8,10,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,11,12,9,2,4,6,8,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,9,7,12,2,4,6,10,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,8,12,7,9,2,4,6,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,8,7,2,4,6,1,3,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,5,6,9,12,2,4,8,10,1,3,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,12,5,6,9,2,4,8,1,3,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,9,11,5,12,2,4,6,8,10,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,7,11,12,5,9,2,4,6,8,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,5,8,9,7,12,2,4,6,10,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,10,5,11,12,7,9,2,4,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,5,8,7,2,4,6,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[6,10,7,11,12,5,9,2,4,8,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,8,11,6,12,5,7,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,6,10,11,12,8,5,7,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,7,8,6,12,5,9,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,7,12,6,8,5,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,12,7,6,5,2,4,1,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,8,12,3,4,7,9,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,12,8,3,4,7,2,6,1,5]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,5,7,11,12,3,9,2,4,6,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,10,11,5,12,3,7,9,2,4,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[5,9,10,11,12,8,3,7,2,4,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[6,10,3,7,11,12,5,9,2,4,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,6,8,3,11,12,5,7,9,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,6,10,11,12,3,8,5,7,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,11,7,12,3,6,8,5,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,12,7,3,6,5,2,4,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,10,4,5,11,12,3,9,2,6,8,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[4,8,10,11,5,12,3,7,9,2,6,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,10,6,11,4,12,3,5,7,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[6,9,4,10,11,12,8,3,5,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,4,11,12,6,8,3,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[4,8,9,10,11,12,7,6,3,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,5,10,6,11,12,4,8,3,7,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,11,5,12,4,6,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,5,10,11,12,7,4,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,6,12,5,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,6,1,8,2,5,4,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,2,8,1,6,3,7]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,4,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,4,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,6,3,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,8,2,7,3]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,7,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,9,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,3,7,1,6,2,5,8]=>[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,1,6,7,2,5,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,5,7,2,4,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,5,4,3,6,9,2,1]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,9,5,3,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,9,6,5,4,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,2,1,4,8,6,7,3]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,1,6,5,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,4,1,6,5,7]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,5,4,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,4,2,3,6,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,1,6,7,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,2,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,8,1,3,7,2]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,2,1,7,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1
[4,7,8,3,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,3,2,1,6,7,5]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,1,4,6,7,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,7,8,1,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,4,3,6,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,3,7,1,5,4,8]=>[7,5,3,6,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,8,1,5,4,7,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,4,5,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[7,1,3,4,5,6,2,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,5,1,3,6,4,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,2,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,3,6,5,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,6,8,7,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,5,6,3,4,1,2,9,7]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,9,4,7,2,5,1,3,8]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,6,1,2,3,10,7]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,9,10,2,6,7,1,3,4,8]=>[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,5,6,3,4,1,2,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,3,4,7,2,1,6,8]=>[6,5,3,7,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,9,5,4,3,2,1,8]=>[8,7,9,6,5,4,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,8,5,7,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,7,6,1,8,5]=>[6,3,2,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,1,5,7,8]=>[5,4,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,1,8,7,4,3,6,5,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>3
[6,5,2,1,4,3,12,11,8,7,10,9]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>2
[4,6,3,2,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,2,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,4,8,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,7,3,8,2,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,8,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,1,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,9,4,5,6,7,8,3,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,4,5,6,7,8,2,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,9,4,5,6,7,8,3,2]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[5,4,3,8,1,7,2,6]=>[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,9,1,8,2,7,3,6]=>[8,6,9,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,6,3,9,1,8,2,7]=>[8,6,4,3,9,2,7,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,7,3,9,1,8,2,6,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,4,9,1,8,2,7,3,5]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,5,9,1,8,2,7,3,6]=>[8,6,9,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,4,5,3,9,1,8,2,7]=>[8,6,4,3,9,2,7,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,4,10,1,9,2,8,3,7]=>[9,7,5,10,3,8,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,4,7,3,6,2,9,1,8]=>[8,6,5,4,3,2,9,1,7]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,4,7,3,10,1,9,2,8]=>[9,7,5,4,3,10,2,8,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,3,1,5,6,8,4,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,6,8,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,5,6,3,7]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,2,7,3,8,5]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,2,5,8,6,3,7]=>[1,7,3,4,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,8,2,1,5,7,3,6]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,1,6,3,4,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,2,5,1,6,3,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,4,6,3,7]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,7,3,6,4,2,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,7,5,4,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[9,8,3,4,5,6,7,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,2,3,4,5,6,1,7]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,2,8,7,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,4,5,6,7,8,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,4,5,6,7,2,1,8]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,3,4,5,6,7,8,1,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,2,9,8,3,4,5,6,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,2,3,4,5,1,6,7]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,3,4,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,5,6,7,8,2,1,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,3,6,8,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,9,4,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,4,5,6,7,8,9,2,1,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,2,8,3,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,5,6,2,8,3]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,8,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,1,4,8,6,2,7]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,8,3,1,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,1,8,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,6,3,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,7,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,8,3,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,7,6,2,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,2,3,5,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,5,1,8,3,7,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,3,8,6,5,2]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,1,7,3,2,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,1,7,6,2]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,1,2,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,6,8,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,5,7,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,5,6,3,4]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,2,6,7,4,3,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,4,8,7,6,1,3]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,6,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,4,1,8,5,3,6]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,4,6,8,5]=>[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,6,1,8,3,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,2,1,6,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,3,4,2,5,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,4,7,8,2,5]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,1,3,6,4,8]=>[4,7,6,1,5,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,5,1,3,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,1,4,2,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,3,6,7,1,5,8]=>[6,3,2,7,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,2,1,6,4,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,5,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,1,5,3,7,2,4,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,5,4,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,6,4,5,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,8,7,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,5,4,6,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,2,4,6,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,5,4,8,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,4,3,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,6,7,5,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,5,1,6,8,3,4]=>[4,8,7,1,5,6,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,2,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,2,4,5,7]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,3,2,7,4,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,7,2,3,5,6]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,8,1,7,5,4,6]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,5,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[7,1,5,6,2,3,4,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,5,1,7,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,8,2,7,3,4,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,3,6,7,8,5,2]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,6,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,6,7,8,5,3]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,8,2,4,5]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,1,5,2,6,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,3,10,9,7,5,6,8]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>3
[2,1,8,7,5,3,4,6,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>3
[2,1,10,7,5,9,4,3,6,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[2,1,10,8,5,3,6,4,9,7]=>[2,1,10,9,8,6,7,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[2,1,10,9,4,6,7,3,5,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[8,5,3,7,2,1,4,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[8,6,3,1,4,2,7,5,10,9]=>[8,7,6,4,5,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,6,3,9,4,2,7,1,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,2,4,5,1,3,6,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,7,2,4,5,9,3,1,6,8]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,4,2,6,3,1,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,1,8,4,9,6,2,3,5,7]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,2,3,5,6,7,1,4,8]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,12,11,9,7,8,10]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>4
[2,1,4,3,10,9,7,5,6,8,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>4
[2,1,4,3,12,9,7,11,6,5,8,10]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,4,3,12,11,6,8,9,5,7,10]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,8,7,5,3,4,6,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>4
[2,1,10,7,5,9,4,3,6,8,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,12,8,5,11,6,4,9,3,7,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[2,1,10,9,4,6,7,3,5,8,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,12,11,9,6,4,8,5,3,7,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[6,5,3,1,2,4,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>4
[6,5,3,1,2,4,12,11,9,7,8,10]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>2
[8,5,3,7,2,1,4,6,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[10,6,3,9,4,2,7,1,5,8,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[8,7,2,4,5,1,3,6,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[10,9,7,4,2,6,3,1,5,8,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[12,11,8,4,9,6,2,3,5,1,7,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,9,3,5,6,2,8,4,1,7,10]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[1,5,4,7,8,3,6,2]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,4,7,8,3,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,7,8,3,6,2]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,5,6,2,3,7]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,2,5,1,6]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,4,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,5,6,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,4,5,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,5,6,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,8,3,1,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,8,1,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,5,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,5,6,8,2,7]=>[1,7,3,4,5,8,2,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,1,7,3,2,8,5]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,6,4,2,8,5]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,7,3,5,1,2,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,2,1,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,6,8,4,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,3,1,5,2,6,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,8,2,3,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,8,2,3,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,4,5,3,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,3,4,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,7,1,4,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,2,6,4,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,4,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,5,8,4,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,2,3,8,4,6]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,1,3,7,4,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,3,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,3,7,8,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,1,5,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,5,1,6,4]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,6,1,2,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,4,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,6,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,5,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,1,2,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,1,5,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,2,8,4,7,1,3,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,2,8,6,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,3,2,4,5,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,5,7,2,8]=>[7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,3,5,7,2,8,6]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,2,4,6,3,7]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,4,5,3,7]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,8,6,7,2,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,1,4,5,7,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,3,10,9,6,5,8,7]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>3
[2,1,10,7,4,9,6,3,8,5]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[2,1,10,9,4,3,6,7,8,5]=>[2,1,10,9,6,5,8,7,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[2,1,10,9,4,5,6,3,8,7]=>[2,1,10,9,8,6,7,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[6,5,2,1,4,3,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>3
[8,5,2,7,4,1,6,3,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,5,2,7,4,9,6,1,8,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,2,1,4,5,6,3,10,9]=>[8,7,4,3,6,5,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,7,2,9,4,5,6,1,8,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,2,1,8,5,4,7,6,3]=>[10,9,4,3,8,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,2,3,4,1,6,5,10,9]=>[8,7,6,4,5,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>2
[10,7,2,3,4,9,6,1,8,5]=>[10,9,8,4,5,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,3,2,5,4,1,8,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,1,4,3,6,5,12,11,8,7,10,9]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>4
[2,1,4,3,10,9,6,5,8,7,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>4
[2,1,4,3,12,9,6,11,8,5,10,7]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,4,3,12,11,6,5,8,9,10,7]=>[2,1,4,3,12,11,8,7,10,9,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>3
[2,1,8,7,4,3,6,5,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>4
[2,1,10,7,4,9,6,3,8,5,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,10,9,4,3,6,7,8,5,12,11]=>[2,1,10,9,6,5,8,7,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>3
[2,1,12,9,4,11,6,7,8,3,10,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[2,1,12,11,4,3,10,7,6,9,8,5]=>[2,1,12,11,6,5,10,9,8,7,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>2
[6,5,2,1,4,3,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>4
[8,5,2,7,4,1,6,3,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[8,7,2,1,4,5,6,3,10,9,12,11]=>[8,7,4,3,6,5,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>3
[10,7,2,9,4,5,6,1,8,3,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[10,9,2,1,8,5,4,7,6,3,12,11]=>[10,9,4,3,8,7,6,5,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>2
[12,9,2,11,8,5,4,7,6,1,10,3]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,2,1,8,5,10,7,4,9,6,3]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,2,1,10,5,6,7,4,9,8,3]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,2,1,4,9,6,5,8,7,10,3]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,6,3,8,5,2,7,4,1,10,9]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[7,1,4,5,8,3,6,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,1,2,4,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,2,8,7,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,1,2,7,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,1,4,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,6,3,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,5,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,3,5,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,6,1,2,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,5,6,7,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,2,6,5,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,2,6,4,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,4,6,1,8,3,5]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,2,8,5,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,8,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,1,7,8,6,5,2]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,6,5,7,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,4,8,2,7,6]=>[6,2,4,3,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,8,3,4,7,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,5,6,4,7,3]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,6,1,3,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,4,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,5,6,3,8,7,4]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[3,2,7,5,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,4,3,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,1,2,6,7,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,3,6,8,4]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,1,2,6,5]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,3,5,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,8,3,6,5,7,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,2,6,5,7,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,8,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,1,8,6,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,4,1,7,3]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,4,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,2,8,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,1,8,6,5,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,5,6,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,8,4,6,1,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,4,8,5,2,6]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,3,8,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,8,4,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,4,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,3,4,6,2,7]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,2,5,7,6]=>[1,5,8,4,2,6,7,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,6,2,3,8,5]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,4,6,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,6,4,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,5,8,2,4,7]=>[1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,3,2,8,5,7]=>[1,5,7,4,2,8,3,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>1
[6,8,4,1,5,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,4,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,3,1,6,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,6,3,1,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,6,3,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,2,5,7,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,6,2,7,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,8,1,4,3,7]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,8,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,3,5,4,1,8,6]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,7,4,1,8,5]=>[6,8,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,4,8,5,3,7,6]=>[2,1,6,8,5,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[2,7,3,8,4,1,6,5]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,5,4,8,7]=>[4,6,3,1,5,2,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[1,5,8,3,4,7,2,6]=>[1,7,8,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,8,1,4,6,2,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,3,6,2,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,8,5,7,6,2]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,2,8,6,5]=>[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,7,2,8,5]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,3,1,8,5,4]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,7,5,4,6,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,3,1,5,7,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,1,2,5,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,1,2,6,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,6,1,7,8,2]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,5,6,1,4]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,1,7,5,6]=>[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,6,4,7,8,3]=>[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,9,8,7,6,4,3,2,5]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,9,8,7,5,4,3,2,6]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,9,8,6,5,4,3,2,7]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,9,7,6,5,4,3,2,8]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,9,8,7,6,5,2,3,4]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,7,6,5,3,2,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,9,8,7,6,3,4,2,5]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,7,6,4,3,2,5]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,9,8,7,4,5,3,2,6]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,7,5,4,3,2,6]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,9,8,5,6,4,3,2,7]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,6,5,4,3,2,7]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,8,4,5,6,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,9,6,7,5,4,3,2,8]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,7,6,5,4,3,2,8]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,10,8,7,6,5,4,3,2,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[4,7,6,1,5,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,4,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,1,6,7,2,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,8,4,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,8,4,6,1,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,8,4,6,2,5]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,7,8,4,6,2,5]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,1,6,7,2,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,3,7,5,2,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,8,3,6,7,1,5]=>[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,8,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,6,4,8,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,6,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,7,6,1,2,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,1,3,6,5]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,2,3,4,5,6,1,7]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,3,4,5,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,2,3,4,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,2,3,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,10,2,3,4,5,6,1,7]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,3,4,1,5,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,2,3,4,5,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,2,3,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,10,2,3,1,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,8,3,4,5,2,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,1,4,5,6,2,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,9,3,4,5,6,2,1,8]=>[8,9,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,6,1,4,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[3,8,2,4,5,1,7,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,1,5,4,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,9,1,5,6,7,4,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,6,8,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,8,4,3,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,3,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,5,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,1,8,7,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,7,6,8,5,2,4]=>[1,7,8,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,7,8,6,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,3,7,6,1,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,6,1,2,3,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,7,8,1,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,6,5,4,3,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,7,6,2,3,8,5,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,1,3,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,3,8,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,3,8,6,2,7]=>[1,7,4,3,8,6,2,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,5,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,1,5,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,7,1,6,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,7,5,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,7,5,6,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,1,2,7,8,4,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,7,8,2,6,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,2,7,6,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,4,6,5,3,7]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,7,2,3,6,5]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,3,6,5,8,2,7]=>[7,2,3,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,5,8,2,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,5,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,6,2,7,4,3,5]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,6,4,1,8,5,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,3,7,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,1,7,8,6,2]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,2,1,5,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,9,8,7,6,5,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,9,8,7,6,2,1,4,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,9,8,7,2,1,5,4,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,9,8,2,1,6,5,4,3]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,1,6,3,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,3,7,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,5,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,5,7,2,8,4]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,5,6,4,3,7]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,5,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,1,6,5,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,8,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,6,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,7,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,6,7,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,8,6,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,7,3,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,1,8,5,2,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,1,5,8,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,1,8,5,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,8,1,9,2,3,4,5]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,1,9,2,3,4]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,5,7,2,4,3,8,6]=>[1,6,8,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,3,8,2,7,4,6]=>[7,2,5,8,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,2,8,4,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,2,8,4,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,2,3,6,5,4]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,6,4,3,8,5]=>[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,8,3,2,5,6]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,3,2,4,6,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,2,4,7,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,7,6,3,5,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,3,2,7,4,5]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,7,6,3,4,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,5,1,2,7]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,8,5,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,6,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,4,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,2,3,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,4,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,2,4,3,1,5,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,1,4,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,2,3,1,5,8]=>[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,6,1,3,2,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,5,6,4,7]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,4,7,8,5,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,1,8,5,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,3,6,8,5,4]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,8,1,5,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,5,8,6,1,3,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,2,5,8,7]=>[5,2,3,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,1,4,6,3,2,5,8]=>[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,5,8,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,3,8,4,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,1,5,4,3,6]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,2,6,8,7,4,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,5,2,6,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,3,6,5,2,7,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,5,2,6,4]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,5,2,6,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,5,2,6,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,7,5,2,8,4]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,5,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,5,2,6,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,3,8,7,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,5,2,8,3]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,5,6,2,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,3,6,1,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,3,5,6,1]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,4,8,3,2,6,7]=>[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,7,6,3,8,2,4]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,3,1,7,8,4,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,7,8,3,5,4,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[1,5,8,6,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,3,5,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,2,5,4,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,5,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,8,6,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,3,2,1,7,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,7,6,8,3,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,7,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,7,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,3,2,4,5,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,4,5,6,9,7]=>[9,4,3,2,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,4,7,1,5,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,3,5,2,7,6]=>[6,8,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,5,2,8,7,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,6,1,7,8,9,2,3]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,1,7,2,5,8,3,6]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,5,8,6,1,7,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,7,2,8,6,3]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,3,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,9,5,3,6,7,8,4,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,4,2,5,6,7,8,3,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,7,1,8,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,4,3,6,8,2,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,5,4,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,5,4,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,1,6,2,8,7,5]=>[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,5,1,6,4,3,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,2,1,5,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,6,4,7,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,8,5,4,6,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,7,1,4,8,5,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,5,1,4,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,3,2,8,5,6]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,2,4,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,8,6,1,5,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,7,8,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,9,1,4,5,6,2,3]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,10,1,4,5,6,7,2,3]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,8,5,4,2,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,3,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,8,6,2,7,3]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,8,7,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,6,8,7,3,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,5,2,4,7]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,1,5,6,4,7]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,6,8,2,1,5]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,1,3,7,5,6,4]=>[3,8,1,4,7,6,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,5,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,6,1,2,5,8,4,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,1,5,8,2,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,1,5,8,3,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,6,2,5,8,3,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,2,5,7,3,4,6]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,6,3,8,5,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,6,3,1,7,2,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,4,6,5,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,3,7,6,2,5]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,7,6,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,7,2,8,5,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,3,8,4,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,8,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,3,1,6,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,4,6,7,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,8,5,2,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,2,4,3,1,5,6,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,3,1,4,8,5,7,2]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,7,5,6,3,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,2,8,4,6,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,7,2,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[1,8,7,5,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,3,4,5,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,4,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,3,6,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,5,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,5,8,2,6,3,4,7]=>[1,7,8,4,6,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,3,2,7,5,1,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,3,6,4,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,7,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,7,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,5,6,4,8,3,2,7]=>[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,1,5,6,4,8,3,7]=>[2,1,7,5,4,8,3,6]=>[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>2
[5,1,4,7,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,2,8,5,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,2,1,7,8,6,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,8,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,1,5,8,6,2]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,5,3,1,7,6]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,2,6,1,3,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,2,1,7,3,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,1,7,3,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>1
[5,6,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>1
[4,5,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[6,7,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>1
[6,7,4,3,2,1,5,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[7,5,4,3,1,2,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[6,7,9,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,8,9,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,10,9,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,5,9,8,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,7,9,8,6,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,8,5,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,8,9,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,3,1,8,2,7,5,4]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,3,2,5,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,1,7,8,3,2,5,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,3,6,2,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,2,8,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,2,1,3,6,4,7]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,7,3,4,6,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,5,6,3,4,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,3,5,2,6,4,7]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,6,1,8,5,7,2]=>[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,4,5,1,6]=>[7,2,8,6,5,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,5,7,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,5,8,4,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,6,1,2,3,4,5,7]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,5,1,2,3,4,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,1,2,3,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,3,1,2,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,1,2,6,4,3,5,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,2,6,5,3,4,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,8,6,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,4,8,6,5,3]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,5,6,4,8,1,3]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,6,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,4,7,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,3,8,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,5,7,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,4,6,5,7,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,3,6,5,4,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,4,8,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,3,7,6,5,4,8,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,2,7,6,5,4,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,3,9,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,3,1,6,5,2,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,1,2,6,8,7,4]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,2,3,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>2
[1,6,7,2,5,8,3,4]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,5,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,2,4,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,3,8,1,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,8,3,1,5,6]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,3,7,4,6,5]=>[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,3,4,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,7,5,3,4,6]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,1,3,7,5,6]=>[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,8,2,3,4,6]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,1,3,7,5,6]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,3,7,4,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,3,6,4,5]=>[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,7,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,5,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,4,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,6,3,8,1,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,1,2,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,5,7,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,6,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,1,6,3,4,7]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,5,3,2,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,10,2,1,6,4,3,5,7,8]=>[10,9,4,3,8,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,9,1,10,7,4,3,5,6,8]=>[3,10,1,9,8,7,6,5,4,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,5,2,1,6,3,4,7,9]=>[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,2,1,8,5,3,4,6,9]=>[10,9,4,3,8,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,2,1,10,7,5,3,4,6,8]=>[10,3,2,9,8,7,6,5,4,1]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,3,1,4,2,5,7,9]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,5,1,6,3,2,4,7,9]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,1,8,5,3,2,4,6,9]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,1,10,7,5,3,2,4,6,8]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,1,8,4,2,5,3,6,9]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,1,10,7,4,2,5,3,6,8]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[11,12,8,2,1,6,4,3,5,7,9,10]=>[12,11,10,5,4,9,8,7,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,2,1,9,6,4,3,5,7,8,10]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,11,2,1,4,3,12,7,5,6,8,9]=>[12,11,4,3,6,5,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,8,5,2,1,6,3,4,7,9,11]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,7,2,1,8,5,3,4,6,9,11]=>[12,11,10,5,4,9,8,7,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,2,1,10,7,5,3,4,6,8,11]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,6,1,3,2,7,5,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,5,2,4,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,2,7,3,5,4]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,5,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,1,7,3,2,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,5,2,3,7]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,1,6,3,5,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,2,1,3,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>4
[2,6,1,5,3,4,8,7]=>[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,8,7,5,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,8,2,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,3,1,4,5,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,2,4,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,4,5,7,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,5,4,6,7,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,5,7,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,4,5,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,4,5,3,7,6,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,3,5,7,6,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,5,4,6,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,4,3,6,7,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,5,4,6,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,8,6,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,4,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,6,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,3,2,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,3,1,5,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,5,6,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,4,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,3,1,5,7,2]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,3,5,1,8,6]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,5,2,4,8,7]=>[5,2,6,4,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[2,5,3,8,6,4,1,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,1,5,4,3,2,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,4,1,3,2,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,7,6,1,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,1,6,3,8,7]=>[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[5,3,8,6,2,4,7,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,6,4,3,8,7]=>[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[3,6,2,8,5,7,1,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,1,5,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,2,5,7,6,3,8]=>[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,6,5,8,1,7,3,2]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,1,2,7,5,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,8,7,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,1,6,8,7,2,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,7,2,5,8,6,1]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,6,4,7,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,8,7,3,1,4,6]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,4,3,2,1,5,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,3,2,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,8,7,2,6,1,4,5]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,5,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,1,8,3,6,4,7]=>[3,7,1,8,5,6,2,4]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,7,3,2,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,6,1,2,5,7]=>[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,5,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,5,6,8,4,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,3,4,7,2,6]=>[7,8,3,5,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,2,7,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,5,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,6,3,1,4,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,6,2,1,8,5]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,1,7,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,4,7,8,1,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,8,5,4,1,6,7]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,9,1,3,4,5,6,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,1,2,7,3,5,4,6]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,2,6,3,4,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,1,2,3,6,5,7]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,3,8,7,1,4,5]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,6,4,7,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,4,8,1,5]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,1,6,2,7,8,4]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,3,2,7,8,4]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,1,6,4,7,3,8]=>[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,1,6,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,5,4,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,3,5,4,2,8,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,4,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,8,6,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,4,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,3,6,2,7,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,2,4,8,7,1,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,2,7,4,1,5,6]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,5,8,1,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,5,7,4,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,8,6,4,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,1,6,8,5,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,7,4,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,3,6,5,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,6,3,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,5,4,7,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,4,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,6,8,7,2,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,6,8,7,4,1]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,6,2,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,6,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,7,6,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,7,10,8,9,6,4,1]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,4,7,5,10,8,9,6,3,1]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,4,6,9,7,8,5,3,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[2,6,5,8,9,7,10,4,3,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,7,4,5,10,9,8,1,6,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,4,8,9,7,1,10,5,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,7,4,5,10,8,9,6,2,1]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,6,4,9,7,8,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[3,5,6,8,9,7,10,4,2,1]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,8,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,3,6,1,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,8,9,2,4,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,4,6,7,8,2,5,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,6,7,8,9,1,3,5]=>[7,8,9,4,5,6,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,5,6,7,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,6,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,3,4,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,7,6,2,8,3,5]=>[7,2,8,5,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,7,5,3,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,2,8,5,3,6]=>[7,2,8,4,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,8,4,7,1]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,3,5,4,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,2,8,4,1,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,7,5,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,2,7,4,3,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,8,5,3,6]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,8,1,7,5,3,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,6,5,3,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,4,5,8,7,1,3,6]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,6,8,7,5,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,5,6,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,7,6,3,4,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,5,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,6,4,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,2,1,6,4,5,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,4,7,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,7,1,6,4,3,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,7,3,6,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,2,1,5,4,7]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,6,8,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,1,8,7,3,6,2]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,6,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,5,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,4,1,2,6,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,7,5,3,1,4]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,2,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,6,3,4,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,5,4,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,5,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,3,1,2,5,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,5,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,2,6,1,7,5]=>[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,7,6,1,5,2,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,4,3,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,5,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,8,4,3,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,7,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,4,1,5,3,8,6]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,3,4,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,4,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,5,3,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,2,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,4,2,8,5,6,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,2,1,7,4,6,8,5]=>[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[6,2,5,7,1,4,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,5,3,1,2,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,6,1,3,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,1,5,7,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,2,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,3,1,2,4,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,7,6,2,5,4]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,6,7,2,5,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,2,3,6,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,6,4,7,1,5,8]=>[6,2,7,4,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,6,2,5,7,8,4,1]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,4,6,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,6,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,4,6,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,6,2,4,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,8,6,5,3,4]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,3,7,8,9,2,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,1,5,2,6,4,7,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,8,5,7,2,6,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,8,2,7,5,6,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,3,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,1,4,2,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,4,8,3,5,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,8,5,3,2,7,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,5,8,4,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,8,2,5,6]=>[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,3,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,1,4,8,6,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,3,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,6,8,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,1,6,4,8,3]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,6,4,8,3]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,7,8,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,5,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,1,5,6,4,7,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,2,8,1,5,6,4]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,5,1,6,8,4]=>[8,5,3,6,2,4,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,1,3,6,5,4]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,8,1,4,6,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,1,8,4,7,5]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,7,6,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,6,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,8,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,5,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,8,5,3,2,6]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,2,1,3,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,7,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,2,5,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,2,7,3,8]=>[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,2,3,1,7,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,4,6,1,8,2,7,5]=>[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,4,7,6,2,8]=>[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,5,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,4,3,5,1,6,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,5,3,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,4,3,7,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,7,6,3,4,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,6,1,7,2,4,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[3,5,6,8,1,2,7,4]=>[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[2,6,1,3,5,4,7,8]=>[3,6,1,4,5,2,7,8]=>[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,6,1,5,2,8,7,3]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,5,4,2,7,8,3]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,5,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,5,1,3,7,4]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,2,7,5,1,4]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,6,1,5,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,3,4,2,5,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,3,1,6,8,5]=>[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,3,7,8,1,5]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,10,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,9,6,5,4,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,7,6,5,4,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,7,6,5,4,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,7,1,2,3,4,8,9,5,6]=>[10,9,3,4,5,6,8,7,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,6,4,5,7,2,8,3]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,6,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,4,3,1,7,5,6]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,4,3,7,5,6]=>[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,8,2,1,5,3,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,1,3,7,4]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,8,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,6,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,1,3,8,2,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,8,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,1,6,4,7,3,5]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,8,6,5,2,7,4]=>[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,3,8,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,5,4,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,8,3,2,6,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,4,7,2,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,8,7,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,5,8,6,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,6,4,2,1,7,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,8,4,7,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,8,6,1,2,7,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,1,4,6,2,7,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,2,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,2,3,7,1,8,5]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,2,7,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,1,5,3,8,4]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,4,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,7,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,7,8,3,2,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,3,8,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,2,1,3,8,6]=>[6,5,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,4,5,1,6,9]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,8,9,3,4,5,6,2,7]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[2,6,4,5,7,1,8,3]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,6,1,5,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,5,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,6,4,1,8,3]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,4,6,2,7,8,3]=>[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,5,1,2,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,3,7,2,8,4,5]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,4,1,7,2,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,8,2,6,7,4]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,3,1,7,4,6]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,3,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,1,6,4,8,3,5]=>[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,4,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,7,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,5,6,8,1,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,6,3,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,8,2,3,1,7,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,5,1,8,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,3,7,5,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,2,7,6,1,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,8,7,1,3]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,2,6,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,4,7,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,10,6,9,3,8,2,7,1]=>[10,8,9,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,6,9,5,4,3,8,2,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,2,6,10,9,5,4,3,7,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,5,10,6,8,2,7,1,9,3]=>[10,8,9,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,5,7,1,9,3,8,2,6,10]=>[8,6,9,4,7,2,5,1,3,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[4,10,8,2,5,6,7,1,9,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,3,10,4,5,7,1,8,2,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,9,3,10,5,7,1,8,2,6]=>[9,10,7,8,5,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,5,7,1,9,4,2,6,8,3]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,5,7,1,8,3,9,4,2,6]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,1,8,3,9,4,2,5,6]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,1,7,3,8,4,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,6,4,7,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,7,2,3,4,6,5]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,3,7,6,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,2,5,6,4,7]=>[1,4,8,2,7,6,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,8,4,6,2,7,5]=>[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,4,2,1,7,3,8]=>[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,5,7,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,7,1,2,5,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,1,10,9,8,7,6,5,3,4]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>2
[7,4,5,1,6,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,4,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,3,2,5,7,4,1,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,1,3,8,7,4]=>[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,1,3,7,4]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,9,7,3,6,1,2,4,8,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,4,10,9,7,3,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,4,9,7,3,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,3,8,4,10,9,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,3,10,8,4,9,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,3,8,4,9,6,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,1,3,7,2,4,8,5]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,1,3,10,8,4,9,7,2,5]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,4,10,9,6,1,3,7,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,4,9,6,1,3,7,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,3,6,1,4,10,9,7,2,5]=>[10,9,8,4,5,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,3,6,1,4,9,7,2,5]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,1,4,8,3,7,2,5]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,1,4,10,8,3,7,2,5]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,3,9,6,1,4,10,7,2,5]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,4,10,8,3,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,3,9,4,10,7,2,6,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[12,11,9,5,10,7,1,2,4,8,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,5,12,10,7,1,2,4,8,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,5,11,8,3,7,1,2,4,10,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,9,4,8,3,7,1,2,5,10,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,5,12,11,9,4,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,5,11,9,4,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,4,10,5,12,11,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,4,12,10,5,11,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,4,10,5,11,8,3,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,3,9,4,10,5,12,11,7,1,2,6]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,3,9,4,12,10,5,11,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,3,12,9,4,10,5,11,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,8,3,9,4,10,5,11,7,1,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,8,2,4,9,5,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,5,11,8,2,4,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,9,4,8,2,5,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,4,12,11,8,2,5,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,8,2,5,12,9,4,10,7,1,3,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,4,10,5,12,11,7,1,3,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[9,4,12,10,5,11,7,1,3,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,9,4,10,5,11,7,1,3,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,5,12,11,9,3,7,1,4,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,10,5,11,9,3,7,1,4,8,2,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[12,11,5,10,4,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,5,12,10,4,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[10,4,11,5,12,9,3,8,2,7,1,6]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[4,1,7,8,3,6,5,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,2,1,7,3,5,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,4,2,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,1,6,4,7,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,5,1,8,6,3]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,1,8,5,6,4]=>[4,2,8,1,7,6,5,3]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,2,7,4,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,1,8,7,4,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,2,5,4,3,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,3,5,1,7,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,7,6,8,1,3]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,5,7,4,8,6,2]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,6,8,2,5,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,4,1,5,3,8]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,3,5,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,3,1,6,7,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,1,7,3,6,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,6,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,1,6,4,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,8,2,5,4,6]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,1,3,6,7,5,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,6,7,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,6,4,2,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,6,5,8,4,3]=>[3,8,1,7,5,6,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,4,8,6,5,3]=>[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,5,4,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,7,1,4,3,5,8]=>[7,4,6,2,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,2,6,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,5,1,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,6,8,4,7,1,3,5]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,3,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,8,6,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,6,4,1,7,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,7,3,5,8,6,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,8,2,5,1,6,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,4,3,2,7,5]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,8,2,4,1,5,6]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,7,8,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,1,5,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,8,6,7,2,3,4]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,6,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,1,7,3,5]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,2,8,1,7,4,5]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,3,7,8,5,2]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,5,4,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,3,1,2,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,2,4,8,3,7,5]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,6,8,1,4,7,3]=>[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,5,2,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,6,5,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,5,1,7,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,2,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,4,3,2,8,6]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,5,3,2,8,6]=>[1,6,8,5,4,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,4,6,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,7,2,3,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,1,8,2,4,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,5,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,8,4,2,6,1,7]=>[7,5,8,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,3,6,4,5,2,7]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,1,9,8,6,4,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,3,1,9,8,7,6,4,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,5,3,1,10,9,8,6,4,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,3,1,10,9,8,7,6,4,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,3,1,6,2,5,8,7]=>[5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,5,2,1,8,4,3,6]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,4,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,4,8,3,5,6]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,3,5,7,4,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,8,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,5,1,4,2,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,4,1,6,8,3,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,3,4,6,8,1,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,2,5,6,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,7,3,1,8,2,4,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,1,4,6,2,8,5]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,5,6,3,8]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,4,1,3,6,8,7,2]=>[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,4,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,5,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,5,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,5,2,6,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,7,5,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,3,7,6,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,7,1,4,3,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,8,4,2,6,7]=>[6,5,3,8,2,1,7,4]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,1,6,5,8,7,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>2
[6,1,5,4,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,4,2,3,5,6,7,8,1]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,1,8,4,2,7,6,5]=>[5,2,8,4,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,7,4,1,3,6,5]=>[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,7,6,4,5]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,8,3,1,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,3,1,7,4,5]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,7,3,1,4,6]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,3,1,4,5,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,2,8,7,1,6,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,7,4,1,3,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,6,5,2,8,7]=>[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,6,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[4,8,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,6,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,5,4,7,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,3,8,6,1,7,5]=>[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,8,5,4,7,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,4,6,5,3,7,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,4,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>2
[7,3,5,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,8,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,8,3,9,10,4,5,1,6]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,2,8,9,3,4,10,5,1,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,2,8,9,3,10,4,5,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,2,8,9,10,3,4,5,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,2,3,9,10,4,5,1,6]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,2,3,9,10,4,1,5,6]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,2,9,3,4,10,5,1,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,2,9,3,4,10,1,5,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,2,9,3,10,4,5,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,2,9,3,10,4,1,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,2,9,10,3,4,5,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,2,9,10,3,4,1,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,3,4,10,5,1,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,3,4,10,1,5,6]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,3,10,4,5,1,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,3,10,4,1,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,3,10,1,4,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,10,3,4,5,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,10,3,4,1,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,2,10,3,1,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,2,3,4,1,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,2,3,1,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,2,1,3,4,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,2,9,10,11,12,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,2,10,11,12,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,2,10,11,12,3,4,5,1,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,2,11,12,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,2,11,12,3,4,5,1,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,2,11,12,3,4,1,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,2,12,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,2,12,3,4,5,1,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,2,12,3,4,1,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,2,12,3,1,4,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,12,2,3,4,5,6,1,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,12,2,3,4,5,1,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,12,2,3,4,1,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,12,2,3,1,4,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,11,12,2,1,3,4,5,6,7]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[4,8,7,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[5,9,8,7,6,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[5,8,7,4,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,4,7,6,5,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[5,7,4,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,9,8,5,7,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,5,1,6,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,1,7,5,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,1,2,3,5,6,4,7]=>[9,8,3,4,5,7,6,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,8,5,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,2,4,6,8,1,5,3]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,4,7,8,1,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,1,7,4,5]=>[5,8,3,7,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,1,3,2,7,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,3,6,1,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,2,3,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,4,3,7,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,8,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,3,2,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,3,6,8,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,3,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,7,5,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,4,1,2,5,7,8]=>[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[4,7,1,3,2,5,8,6]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,2,6,8,5]=>[5,8,3,4,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,6,2,8,4]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,2,5,7,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,3,6,1,7]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,3,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,4,2,8,1,6]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,1,3,2,8,5,6]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,6,5,4,1,9,3,2]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,5,2,9,1,3,4]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,3,9,2,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,4,9,3,2,1,6,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,4,1,10,3,2]=>[10,9,7,6,5,4,3,8,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,4,2,1,3,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[8,7,6,5,2,1,4,3,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[9,8,7,6,5,2,10,1,3,4]=>[10,9,8,6,5,4,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,3,2,1,4,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[8,7,6,3,2,5,1,4,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,6,5,1,9,4,3,2]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,3,10,2,1,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,7,4,3,6,2,1,9,5]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,6,2,9,5,1,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,4,10,3,2,1,6,5]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,5,4,3,2,1,6,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[8,5,4,7,3,2,1,6,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,7,3,9,6,2,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,5,10,4,3,2,1,6,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,5,4,3,2,1,7,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[10,8,7,6,5,4,3,2,1,9,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1
[8,5,2,3,7,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,1,5,4,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,6,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,3,4,8,6,2]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,2,3,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,2,6,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,1,4,7,5,2,6]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,6,4,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,5,7,2,6,1]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,7,6,4,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,3,1,5,4,7]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,8,5,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,3,6,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,1,6,2,5]=>[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,1,6,5,7,4]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,7,1,3,6,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,3,1,6,7,5]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,2,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,2,6,4,7,1,5]=>[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,8,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,5,1,7,4,8,3,2]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[10,9,8,6,7,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,3,5,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,4,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,6,1,7,4,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,6,4,8,3,5]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,1,8,6,2,4,7]=>[6,7,3,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,5,6,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[8,6,5,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[9,8,7,6,4,3,2,5,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,3,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,5,6,7,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[10,9,7,6,8,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,5,8,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[10,8,7,6,9,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,7,6,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,5,3,2,1,4,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[9,8,7,6,4,3,5,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,3,2,5,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[9,8,7,6,4,5,2,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,3,5,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[9,8,7,6,5,3,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,8,7,5,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,1,6,7,4,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,4,7,5,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,1,5,3,7,2]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,3,5,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,1,4,3,7,8,6,2]=>[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,8,6,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,1,3,7,6,5,2,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,7,6,5,4,2,3,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[1,10,9,8,6,5,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[2,9,8,6,5,7,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,2,6,1,3,5,8,4]=>[8,4,6,2,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,5,8,3,4]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,6,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,5,7,4,3]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,1,5,3,6,8,4]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,7,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,2,4,7,5,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,3,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,4,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,2,3,4,5,9,6]=>[9,2,7,4,5,6,3,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,1,2,3,4,5,9,7]=>[7,9,3,4,5,6,1,8,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,7,4,5,2,3,1,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,4,5,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,9,6,7,4,5,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,8,5,7,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,7,6,1,4,2,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>1
[4,6,7,8,3,1,5,2,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[5,7,8,3,9,4,1,6,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,4,3,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>1
[3,4,5,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>1
[3,5,7,6,1,4,2,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>1
[4,6,7,8,3,1,5,2,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>1
[4,6,8,7,3,9,10,5,2,1]=>[10,9,8,5,4,6,7,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,7,8,3,9,4,1,6,2,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>1
[6,8,9,3,4,10,5,1,7,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,7,2,3,5,8,1,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,5,8,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,6,8,2,4,1,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,6,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,1,2,5,3,8,4,6]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,5,1,8,6]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,3,4,5,7,2,6]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,7,5,3,8,1,4]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,8,7,1,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,2,6,8,3,1,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,2,4,3,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>1
[4,5,7,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,8,2,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,8,4,2,1,6]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,8,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,8,5,6,2,4,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,4,6,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,8,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,4,7,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,4,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,3,6,2,5,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,5,8,4,7,2,6,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,9,4,8,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,9,7,4,2,5,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,9,6,4,7,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,6,4,7,5,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,9,6,7,4,2,5,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,6,7,4,2,5,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,5,8,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,2,3,4,1,7]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,4,6,2,7]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,2,4,3,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,2,4,8,5,6,3]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,8,2,3,7,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,2,3,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,3,2,6,5,7]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,3,5,4,6,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,8,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,7,3,1,8,5,6,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,2,1,6,7,4]=>[5,8,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,6,1,5,7,4,3]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,1,7,6,4,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,5,4,7,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,5,7,8,2,3]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,1,2,5,3,6]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,6,1,4,3,5]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,7,3,8,2,4,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,8,6,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,5,8,2,6,7]=>[6,2,3,4,8,1,7,5]=>[8,6,3,4,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,7,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,7,6,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,2,8,6,5,3,4]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,1,6,4,2,3,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[4,8,2,7,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,6,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,8,5,1,4,2,6,7]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,6,2,5,3,8,4]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,5,2,4,3,8,6]=>[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,8,5,1,4,3,6,7]=>[4,8,6,1,5,3,7,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,3,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,9,8,5,6,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,9,8,5,4,6,7,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,9,5,6,7,8,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[1,9,5,4,6,7,8,3,2]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[1,10,4,5,6,7,8,9,3,2]=>[1,10,9,8,5,6,7,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>1
[3,1,2,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>2
[5,1,7,3,2,6,8,4]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,3,7,5,1,6]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,2,4,3,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,4,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,4,7,3,5,6]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,5,7,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,7,5,6,8,2,3]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,8,7,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,8,7,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,1,8,4,5,2,7,6]=>[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,6,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,5,2,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,4,2,1,3,7,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,3,1,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,1,5,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,6,1,7,5,4,3,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,1,8,6,5,4,3,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,6,7,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,2,5,3,1,8,7,4]=>[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,3,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,4,5,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,7,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,7,4,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,7,5,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,6,7,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,7,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,7,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,5,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,7,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,4,7,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,7,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,4,7,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,6,2,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,6,2,5,7,3,4]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,4,7,3,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,2,7,4,6]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,7,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,1,3,5,8,2,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,1,3,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,1,8,3,4,5]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,5,1,4,7,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,7,6,1,8,3,5]=>[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,5,3,8,6,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,9,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,4,5,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,9,7,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,4,9,7,5,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,9,7,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,8,6,4,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,2,1,9,7,5,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,7,8,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,9,6,5,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,5,6,9,7,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,10,8,5,4,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,8,4,3,2,1,5,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,3,4,9,7,5,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,9,7,3,2,1,4,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,8,6,3,2,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,2,3,8,6,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,2,1,3,4,9,7,5]=>[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,9,7,5,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,6,4,9,7,5,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,1,2,9,7,5,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,9,8,5,4,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,9,8,4,3,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,5,9,8,3,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,6,5,4,9,8,2,1,3]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,6,2,3,8,5,7,4]=>[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,4,2,6,8,5,7,1]=>[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,7,6,5,2,3,4,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,1,7,8,9,2,3,4,5]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,4,1,3,6,8,2,5]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,8,1,2,7,3,4,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,2,8,7,3,4,5]=>[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,6,8,5,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,8,1,2,4,7,6,5]=>[4,8,3,1,5,7,6,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,8,1,4,6,5,7]=>[4,2,8,1,5,7,6,3]=>[8,4,7,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,2,4,7,5,8,1]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,6,2,5,7]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,3,5,8,1,6]=>[7,4,8,2,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,1,8,4,5,6,2,7]=>[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,7,8,6,3,1,5]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,2,8,6,3,5]=>[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,4,8,1,6,5]=>[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,5,8,7,4,2]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,4,6,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,2,6,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,7,1,6,8,3]=>[5,8,3,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,2,6,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,5,7,8,6,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,1,4,8,2,3,7,5]=>[8,2,6,7,5,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,2,3,5,8,4,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,5,7,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,5,7,8,6,4,1,3]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,6,2,5,8,3]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,4,6,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,7,5,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,1,7,4,8,5,2,3]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,4,6,3,1,7,5]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,6,2,3,7,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,1,4,5,6,2,3]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,1,3,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,1,3,4,5,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,1,4,5,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,1,4,5,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,1,5,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,1,4,5,6,2,3]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,1,4,5,6,3,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,1,5,6,3,4,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,1,5,6,4,3,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,1,6,5,4,3,2]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,1,5,6,7,3,4,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,1,5,6,7,4,3,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,1,6,7,4,5,2,3]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,1,6,7,4,5,3,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,1,6,7,5,4,3,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,1,7,8,5,6,3,4,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,1,7,8,5,6,4,3,2]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,10,1,3,4,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,10,1,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,4,5,6,2,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,4,5,6,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,5,6,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,1,6,5,4,3,2]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,4,5,6,7,2,3]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,4,5,6,7,3,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,5,6,7,2,3,4]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,5,6,7,4,3,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,6,7,4,5,2,3]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,6,7,4,5,3,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,6,7,5,4,3,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,1,7,6,5,4,3,2]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,6,7,8,3,4,5,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,6,7,8,4,5,2,3]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,6,7,8,4,5,3,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,6,7,8,5,4,3,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,7,8,5,6,3,4,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,7,8,5,6,4,3,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,1,7,8,6,5,4,3,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,1,8,9,6,7,4,5,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,1,8,9,6,7,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,1,8,9,7,6,5,4,3,2]=>[10,2,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,3,1,2,5,4,7,6]=>[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,3,7,4,2,6]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,2,6,5,7,3,4]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,2,6,5,8,3,4]=>[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,1,4,7,5,8,3]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,7,3,1,6,8,4]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,7,2,1,3,4,8,5]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,3,1,2,7,8,5]=>[5,8,4,3,1,6,7,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,5,6,8,4,7,1]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,4,5,8,3,6,7,1]=>[8,5,3,7,2,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,9,8,7,6,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,8,7,6,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>1
[4,5,8,7,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,9,8,7,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,4,6,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,5,8,7,6,4,3,1,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,10,9,8,7,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,1,4,3,6,2,5,7]=>[8,2,6,4,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,5,7,6,4,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,7,8,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,3,8,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,8,6,7,2,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,8,5,6,4,1]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,7,3,8,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,4,8,5,6,3,2]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,8,7,2,5,6,1]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,3,8,6,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,2,8,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,8,2,6,7,5,1]=>[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,3,8,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,4,5,8,7,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,6,4,5,8,2,7]=>[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,1,4,3,5,8,2,7]=>[7,2,5,4,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,1,3,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,8,6,2,5,7]=>[1,6,3,8,7,2,5,4]=>[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>1
[4,1,3,8,6,2,5,7]=>[6,2,3,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,4,6,3,8,2]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,9,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,6,8,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,8,7,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,4,7,8,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,2,4,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,6,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,7,1,5,6,2,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,7,8,3,6,1,5,4]=>[6,8,7,4,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,8,3,6,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,4,3,5,8,1,6,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,6,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,4,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,6,4,3,8,5,2]=>[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,7,3,4,1,5,2,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,4,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,7,5,4,3,8,2,6]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,5,8,1,7,3,2,6]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,6,7,1,3,8,2,5]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,9,3,4,5,6,1,7,8]=>[7,9,3,4,5,6,1,8,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[2,7,3,4,1,8,5,6]=>[5,8,3,4,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,8,3,4,5,1,6,9,7]=>[6,9,3,4,5,1,7,8,2]=>[9,8,6,5,4,3,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,4,5,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,8,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,6,5,1,3,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,8,7,1,2,6]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,4,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,8,2,4,3,1,6]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,3,7,8,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,3,5,4,1,7,6]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,3,8,2,4,6,5]=>[8,2,5,7,3,6,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,3,6,4,1,8,5]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,2,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,2,4,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,4,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,2,6,3,5,8,1,7]=>[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,2,6,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,2,4,6,3,1,7]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,8,5,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,1,8,5,2,3,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,4,1,6,3,5,2,7]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,4,1,6,8,5,2]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,3,5,7,4,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,5,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,4,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,5,1,2,7,4,6,3]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,6,8,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,6,7,5,4,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,5,4,2,6,3,7]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,6,7,4,8,9,1,5,2]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,3,7,8,9,1,4,2]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,7,6,5,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,7,9,6,5,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,8,6,5,4,1,3,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,10,8,7,6,5,4,1,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,7,3,6,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,8,6,1,2,4,3,7]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,5,7,6,8,2,3]=>[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,2,1,6,8,4,3]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,3,1,7,8,5,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,5,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,1,8,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,9,5,6,7,8,2,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,4,5,6,1,3,9,2]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,8,9,5,6,7,2,1,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,6,7,1,3,10,2]=>[10,8,7,6,5,4,3,2,9,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,8,4,5,1,3,7,9,2]=>[9,7,6,5,4,3,2,8,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,7,1,3,5,6,8,2]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,7,8,2,6,1]=>[8,6,3,7,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,4,9,6,7,2,5,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,9,10,5,6,7,8,2,1,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[5,3,2,7,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,3,7,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[5,7,3,2,1,8,6,4]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,6,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,2,7,5,4,1,8,6]=>[6,2,8,5,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,7,4,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,3,5,4,1,6,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,1,6,8,3,2,4]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,3,1,7,6,8,2,4]=>[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,3,2,4,8,6]=>[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,1,5,2,4,3,6,8]=>[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[6,8,7,3,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,8,7,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,3,6,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,6,5,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,3,2,1,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,3,4,1,2,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,7,8,9,3,4,2,1,5]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,3,4,5,1,2,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,3,4,5,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,2,3,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,9,4,5,3,2,1,6]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,6,2,3,1,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,4,5,6,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,3,4,1,2,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,3,4,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,9,5,6,4,3,2,1,7]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,6,7,4,5,3,2,1,8]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,9,10,3,2,1,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,3,4,5,1,2,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,3,4,5,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,2,3,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,4,5,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[7,8,9,10,5,4,3,2,1,6]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,3,4,5,6,1,2,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,3,4,5,6,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,5,6,1,2,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,4,5,6,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,3,4,1,2,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,3,4,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,5,6,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[8,9,10,6,5,4,3,2,1,7]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,6,7,2,3,4,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,6,7,3,4,1,2,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,6,7,3,4,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,5,6,7,4,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,7,4,5,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,6,7,5,4,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,6,5,4,3,2,1,8]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,5,6,3,4,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,5,6,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,7,8,6,5,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,8,3,6,2,4,7,5]=>[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,8,7,5,6,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[6,8,2,1,5,4,3,7]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,8,1,10,7,2,3,4,5,6]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,9,1,10,8,7,3,4,5,6]=>[3,10,1,9,8,7,6,5,4,2]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,3,2,1,5,8,4,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,5,6,2,8,1,7]=>[7,5,3,4,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,3,5,2,7,8,4,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,3,1,6,8,2,7]=>[7,4,3,2,5,8,1,6]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,4,6,7,5,1,8,2]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,1,2,5,6,8,3]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,2,6,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,5,8,3,7,1,4,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,1,9,7,2,3,4,5]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,6,1,7,2,3,4,5]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,5,1,9,6,2,7,3,4]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,5,1,6,2,7,3,4]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,5,1,8,6,2,3,4]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,5,1,6,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,4,1,8,5,2,6,3]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,4,1,5,2,6,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[8,6,4,1,9,7,5,2,3]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,6,4,1,7,5,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,6,4,1,5,2,3]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,7,5,3,1,6,4,2]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,7,1,10,8,2,3,4,5,6]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,1,8,2,3,4,5,6]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,6,1,10,7,2,8,3,4,5]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,6,1,7,2,8,3,4,5]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,1,9,7,2,3,4,5]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,1,7,2,3,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,5,1,10,6,2,7,3,8,4]=>[10,9,3,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,5,1,6,2,7,3,8,4]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,5,1,9,6,2,7,3,4]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,5,1,6,2,7,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,1,10,8,6,2,3,4]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,5,1,8,6,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,5,1,6,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,4,1,10,8,5,2,6,3]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,4,1,8,5,2,6,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,4,1,5,2,6,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,8,6,4,1,9,7,5,2,3]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,6,4,1,7,5,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,4,1,5,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,5,3,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,5,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,8,7,6,5,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[2,5,4,7,1,8,3,6]=>[5,7,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,8,5,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,5,8,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,5,8,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,5,8,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,5,8,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,5,3,8,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,5,3,8,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,5,3,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,10,7,5,3,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,8,5,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,8,5,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,8,5,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,8,5,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,8,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,8,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,3,8,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,3,8,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,3,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,10,5,3,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,8,6,3,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,8,6,3,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,8,3,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,8,3,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,8,3,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,3,8,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,3,8,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,3,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,10,3,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,10,8,6,4,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,10,8,6,1,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,10,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,7,5,3,10,1,8,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,5,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,5,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,5,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,8,5,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,5,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,5,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,5,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,5,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,5,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,5,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,5,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,5,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,10,7,5,3,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,8,5,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,8,5,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,8,5,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,8,5,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,5,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,5,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,5,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,5,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,5,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,5,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,5,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,5,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,10,5,3,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,10,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,10,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,10,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,10,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,10,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,10,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,10,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,10,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,10,3,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,3,10,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,3,10,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,3,10,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,3,10,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,12,9,7,5,3,1,10,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,8,5,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,8,5,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,8,5,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,8,5,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,5,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,5,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,5,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,5,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,5,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,5,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,5,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,5,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,10,7,5,3,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,8,5,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,8,5,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,8,5,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,8,5,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,5,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,5,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,5,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,5,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,5,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,5,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,5,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,5,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,10,5,3,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,10,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,10,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,10,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,10,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,10,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,10,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,10,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,10,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,10,3,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,3,10,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,3,10,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,3,10,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,3,10,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,12,7,5,3,1,10,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,8,5,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,8,5,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,8,5,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,8,5,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,8,5,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,5,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,5,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,5,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,5,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,5,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,5,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,5,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,5,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,10,5,3,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,10,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,10,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,10,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,10,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,10,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,10,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,10,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,10,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,10,3,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,3,10,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,3,10,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,3,10,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,3,10,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,12,5,3,1,10,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,10,8,6,3,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,10,8,6,3,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,10,8,3,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,10,8,3,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,10,8,3,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,10,3,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,10,3,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,10,3,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,10,3,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,3,10,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,3,10,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,3,10,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,3,10,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,12,3,1,10,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,3,12,10,8,6,4,1,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,3,12,10,8,6,1,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,3,12,10,8,1,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,3,12,10,1,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[11,9,7,5,3,12,1,10,8,6,4,2]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>1
[8,1,2,4,6,3,5,7]=>[8,2,3,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,6,7,9,8,3,2,1]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,4,6,7,8,9,3,2,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,7,8,10,9,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[6,5,7,8,9,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[6,5,7,8,9,10,4,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,10,9,3,2,1]=>[10,9,8,4,5,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[3,5,6,7,9,8,4,2,1]=>[9,8,7,4,6,5,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,3,6,7,8,9,5,2,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,5,6,7,8,9,4,1,2]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[4,5,6,7,8,9,3,1,2]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,5,6,7,8,9,3,2,4]=>[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>1
[3,4,5,8,9,6,7,1,2]=>[9,8,3,7,6,5,4,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,4,7,8,5,9,6,1,2]=>[9,8,7,5,4,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[5,6,3,7,8,9,4,1,2]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[3,7,8,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,6,7,8,9,3,1,4]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[1,3,8,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[2,6,5,3,7,1,8,4]=>[6,8,4,3,5,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,7,1,3,6,4,8,2]=>[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,2,5,4,1,7,3,6]=>[8,5,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,1,7,6,4,2,3,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,6,3,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[5,7,3,4,2,8,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,2,3,8,5,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,5,6,8,2,4,7,1]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,7,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,4,2,6,8,5,1]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,8,7,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,2,8,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,2,8,3,7,4,5,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[3,7,5,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,2,3,8,6,1,4,7]=>[7,6,3,8,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,4,3,8,5,6,2,7]=>[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[7,8,2,6,4,3,5,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,5,8,7,2,3,6,1]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,6,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,3,6,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,1,3,6,4,2,7,8]=>[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1
[6,1,2,4,7,5,3,8]=>[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[8,3,1,4,6,7,2,5]=>[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,8,5,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[6,4,5,1,8,7,3,2]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[8,6,2,1,7,3,5,4]=>[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,3,4,5,6,8,7,2,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,4,3,5,6,7,8,2,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,3,4,5,6,8,7,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,8,3,4,5,7,6,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,4,3,5,6,7,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,9,4,3,5,6,7,8,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[9,2,4,5,6,8,7,3,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,4,3,5,6,7,2,8,1]=>[9,8,7,4,5,6,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[7,8,6,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,3,6,2,5,7,1,8]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[1,6,5,7,3,4,8,2]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[8,2,6,5,1,7,4,3]=>[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,6,4,1,2,5,8,3]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,5,4,8,7,1,3]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,7,1,3,2,4,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[7,1,8,4,3,2,6,5]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[1,8,5,2,7,6,4,3]=>[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,6,8,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,7,8,6,2,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[4,6,5,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,5,3,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,5,6,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,4,6,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[9,7,6,5,4,3,8,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[9,8,6,5,4,7,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>1
[10,8,7,6,5,4,3,9,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[10,9,7,6,5,4,8,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>1
[1,5,7,6,2,3,8,4]=>[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[1,3,7,4,6,8,5,2]=>[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>1
[3,7,4,6,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,8,3,1,7,6,2,5]=>[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[2,6,7,5,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1
[2,4,1,7,5,6,8,3]=>[3,8,1,6,5,4,7,2]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
[7,2,4,8,3,5,1,6]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,6,1,4,3,8,7,2]=>[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>1
[5,8,6,4,3,1,7,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1
[4,1,3,7,8,6,5,2]=>[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>1
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Description
The number of left outer peaks of a permutation.
A left outer peak in a permutation w=[w1,...,wn] is either a position i such that wi−1<wi>wi+1 or 1 if w1>w2.
In other words, it is a peak in the word [0,w1,...,wn].
This appears in [1, def.3.1]. The joint distribution with St000366The number of double descents of a permutation. is studied in [3], where left outer peaks are called exterior peaks.
A left outer peak in a permutation w=[w1,...,wn] is either a position i such that wi−1<wi>wi+1 or 1 if w1>w2.
In other words, it is a peak in the word [0,w1,...,wn].
This appears in [1, def.3.1]. The joint distribution with St000366The number of double descents of a permutation. is studied in [3], where left outer peaks are called exterior peaks.
Map
Demazure product with inverse
Description
This map sends a permutation π to π−1⋆π where ⋆ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations π for which π=π−1.
This map is a surjection onto the set of involutions, i.e., the set of permutations π for which π=π−1.
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