Identifier
-
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00238: Permutations —Clarke-Steingrimsson-Zeng⟶ Permutations
St000223: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>[1]=>[1]=>0
[1,2]=>[1,2]=>[2,1]=>[2,1]=>0
[2,1]=>[1,2]=>[2,1]=>[2,1]=>0
[1,2,3]=>[1,2,3]=>[3,2,1]=>[2,3,1]=>0
[1,3,2]=>[1,3,2]=>[2,3,1]=>[3,2,1]=>1
[2,1,3]=>[1,3,2]=>[2,3,1]=>[3,2,1]=>1
[2,3,1]=>[1,2,3]=>[3,2,1]=>[2,3,1]=>0
[3,1,2]=>[1,2,3]=>[3,2,1]=>[2,3,1]=>0
[3,2,1]=>[1,2,3]=>[3,2,1]=>[2,3,1]=>0
[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1]=>0
[1,2,4,3]=>[1,2,4,3]=>[3,4,2,1]=>[2,4,3,1]=>1
[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[3,4,2,1]=>1
[1,3,4,2]=>[1,3,4,2]=>[2,4,3,1]=>[3,2,4,1]=>1
[1,4,2,3]=>[1,4,2,3]=>[3,2,4,1]=>[4,3,2,1]=>2
[1,4,3,2]=>[1,4,2,3]=>[3,2,4,1]=>[4,3,2,1]=>2
[2,1,3,4]=>[1,3,4,2]=>[2,4,3,1]=>[3,2,4,1]=>1
[2,1,4,3]=>[1,4,2,3]=>[3,2,4,1]=>[4,3,2,1]=>2
[2,3,1,4]=>[1,4,2,3]=>[3,2,4,1]=>[4,3,2,1]=>2
[2,3,4,1]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1]=>0
[2,4,1,3]=>[1,3,2,4]=>[4,2,3,1]=>[3,4,2,1]=>1
[2,4,3,1]=>[1,2,4,3]=>[3,4,2,1]=>[2,4,3,1]=>1
[3,1,2,4]=>[1,2,4,3]=>[3,4,2,1]=>[2,4,3,1]=>1
[3,1,4,2]=>[1,4,2,3]=>[3,2,4,1]=>[4,3,2,1]=>2
[3,2,1,4]=>[1,4,2,3]=>[3,2,4,1]=>[4,3,2,1]=>2
[3,2,4,1]=>[1,2,4,3]=>[3,4,2,1]=>[2,4,3,1]=>1
[3,4,1,2]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1]=>0
[3,4,2,1]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1]=>0
[4,1,2,3]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1]=>0
[4,1,3,2]=>[1,3,2,4]=>[4,2,3,1]=>[3,4,2,1]=>1
[4,2,1,3]=>[1,3,2,4]=>[4,2,3,1]=>[3,4,2,1]=>1
[4,2,3,1]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1]=>0
[4,3,1,2]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1]=>0
[4,3,2,1]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1]=>0
[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[1,2,3,5,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[2,3,5,4,1]=>1
[1,2,4,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[2,4,5,3,1]=>1
[1,2,4,5,3]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[2,4,3,5,1]=>1
[1,2,5,3,4]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[1,2,5,4,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[1,3,2,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[3,4,2,5,1]=>1
[1,3,2,5,4]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[3,5,2,4,1]=>2
[1,3,4,2,5]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[3,4,5,2,1]=>1
[1,3,4,5,2]=>[1,3,4,5,2]=>[2,5,4,3,1]=>[3,2,4,5,1]=>1
[1,3,5,2,4]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[3,5,4,2,1]=>2
[1,3,5,4,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[3,5,4,2,1]=>2
[1,4,2,3,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[1,4,2,5,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[4,5,3,2,1]=>3
[1,4,3,2,5]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[4,5,3,2,1]=>3
[1,4,3,5,2]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[1,4,5,2,3]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[4,3,2,5,1]=>2
[1,4,5,3,2]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[4,3,2,5,1]=>2
[1,5,2,3,4]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[1,5,2,4,3]=>[1,5,2,4,3]=>[3,4,2,5,1]=>[5,4,3,2,1]=>4
[1,5,3,2,4]=>[1,5,2,4,3]=>[3,4,2,5,1]=>[5,4,3,2,1]=>4
[1,5,3,4,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[1,5,4,2,3]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[1,5,4,3,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[2,1,3,4,5]=>[1,3,4,5,2]=>[2,5,4,3,1]=>[3,2,4,5,1]=>1
[2,1,3,5,4]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[3,5,4,2,1]=>2
[2,1,4,3,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[2,1,4,5,3]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[4,3,2,5,1]=>2
[2,1,5,3,4]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[2,1,5,4,3]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[2,3,1,4,5]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[4,3,2,5,1]=>2
[2,3,1,5,4]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[2,3,4,1,5]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[2,3,4,5,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[2,3,5,1,4]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[2,3,5,4,1]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[2,3,5,4,1]=>1
[2,4,1,3,5]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[3,5,4,2,1]=>2
[2,4,1,5,3]=>[1,5,2,4,3]=>[3,4,2,5,1]=>[5,4,3,2,1]=>4
[2,4,3,1,5]=>[1,5,2,4,3]=>[3,4,2,5,1]=>[5,4,3,2,1]=>4
[2,4,3,5,1]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[2,4,5,3,1]=>1
[2,4,5,1,3]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[3,4,2,5,1]=>1
[2,4,5,3,1]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[2,4,3,5,1]=>1
[2,5,1,3,4]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[3,4,5,2,1]=>1
[2,5,1,4,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[4,5,3,2,1]=>3
[2,5,3,1,4]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[4,5,3,2,1]=>3
[2,5,3,4,1]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[2,5,4,1,3]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[3,5,2,4,1]=>2
[2,5,4,3,1]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[3,1,2,4,5]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[2,4,3,5,1]=>1
[3,1,2,5,4]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[3,1,4,2,5]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[4,5,3,2,1]=>3
[3,1,4,5,2]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[4,3,2,5,1]=>2
[3,1,5,2,4]=>[1,5,2,4,3]=>[3,4,2,5,1]=>[5,4,3,2,1]=>4
[3,1,5,4,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[3,2,1,4,5]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[4,3,2,5,1]=>2
[3,2,1,5,4]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[3,2,4,1,5]=>[1,5,2,4,3]=>[3,4,2,5,1]=>[5,4,3,2,1]=>4
[3,2,4,5,1]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[2,4,3,5,1]=>1
[3,2,5,1,4]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[4,5,3,2,1]=>3
[3,2,5,4,1]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[3,4,1,2,5]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[3,4,1,5,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[3,4,2,1,5]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[3,4,2,5,1]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[3,4,5,1,2]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[3,4,5,2,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[3,5,1,2,4]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[2,4,5,3,1]=>1
[3,5,1,4,2]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[3,5,2,1,4]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[3,5,2,4,1]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[2,4,5,3,1]=>1
[3,5,4,1,2]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[2,3,5,4,1]=>1
[3,5,4,2,1]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[2,3,5,4,1]=>1
[4,1,2,3,5]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[2,3,5,4,1]=>1
[4,1,2,5,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[4,1,3,2,5]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[3,5,2,4,1]=>2
[4,1,3,5,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[3,5,4,2,1]=>2
[4,1,5,2,3]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[4,1,5,3,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[4,2,1,3,5]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[3,5,4,2,1]=>2
[4,2,1,5,3]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[4,2,3,1,5]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[4,2,3,5,1]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[2,3,5,4,1]=>1
[4,2,5,1,3]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[3,5,2,4,1]=>2
[4,2,5,3,1]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[4,3,1,2,5]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[4,3,1,5,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[4,3,2,1,5]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[5,3,4,2,1]=>3
[4,3,2,5,1]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[2,5,4,3,1]=>2
[4,3,5,1,2]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[2,3,5,4,1]=>1
[4,3,5,2,1]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[2,3,5,4,1]=>1
[4,5,1,2,3]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[4,5,1,3,2]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[3,4,2,5,1]=>1
[4,5,2,1,3]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[3,4,2,5,1]=>1
[4,5,2,3,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[4,5,3,1,2]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[4,5,3,2,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[5,1,2,3,4]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[5,1,2,4,3]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[2,4,5,3,1]=>1
[5,1,3,2,4]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[3,4,2,5,1]=>1
[5,1,3,4,2]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[3,4,5,2,1]=>1
[5,1,4,2,3]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[5,1,4,3,2]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[5,2,1,3,4]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[3,4,5,2,1]=>1
[5,2,1,4,3]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[5,2,3,1,4]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[5,2,3,4,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[5,2,4,1,3]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[3,4,2,5,1]=>1
[5,2,4,3,1]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[2,4,5,3,1]=>1
[5,3,1,2,4]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[2,4,5,3,1]=>1
[5,3,1,4,2]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[5,3,2,1,4]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[4,3,5,2,1]=>2
[5,3,2,4,1]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[2,4,5,3,1]=>1
[5,3,4,1,2]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[5,3,4,2,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[5,4,1,2,3]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[5,4,1,3,2]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[3,4,2,5,1]=>1
[5,4,2,1,3]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[3,4,2,5,1]=>1
[5,4,2,3,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[5,4,3,1,2]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[5,4,3,2,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>0
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>1
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>2
[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[2,4,5,6,3,1]=>1
[1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1]=>1
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[1,2,4,6,5,3]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[1,2,5,4,3,6]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[1,2,5,4,6,3]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[1,2,5,6,4,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[1,2,6,4,3,5]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[1,2,6,4,5,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[1,2,6,5,3,4]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[1,2,6,5,4,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>2
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>2
[1,3,2,5,6,4]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[3,5,2,4,6,1]=>2
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[3,4,5,2,6,1]=>1
[1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[3,4,6,2,5,1]=>2
[1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[3,4,5,6,2,1]=>1
[1,3,4,5,6,2]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1]=>1
[1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[3,4,6,5,2,1]=>2
[1,3,4,6,5,2]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[3,4,6,5,2,1]=>2
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[3,5,6,4,2,1]=>3
[1,3,5,4,2,6]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[3,5,6,4,2,1]=>3
[1,3,5,4,6,2]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[3,5,4,2,6,1]=>2
[1,3,5,6,4,2]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[3,5,4,2,6,1]=>2
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[3,6,5,4,2,1]=>4
[1,3,6,4,2,5]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[3,6,5,4,2,1]=>4
[1,3,6,4,5,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[1,3,6,5,4,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[4,5,3,2,6,1]=>3
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[1,4,3,2,5,6]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[4,5,3,2,6,1]=>3
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[1,4,3,5,6,2]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[1,4,3,6,5,2]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[4,5,3,6,2,1]=>3
[1,4,5,3,2,6]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[4,5,3,6,2,1]=>3
[1,4,5,3,6,2]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>2
[1,4,5,6,3,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>2
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[4,6,3,5,2,1]=>4
[1,4,6,3,2,5]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[4,6,3,5,2,1]=>4
[1,4,6,3,5,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[1,4,6,5,2,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[1,4,6,5,3,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[1,5,2,3,6,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[5,4,3,6,2,1]=>4
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[1,5,3,2,4,6]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[5,4,3,6,2,1]=>4
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[1,5,3,4,6,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[1,5,3,6,4,2]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[1,5,4,2,3,6]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[1,5,4,3,6,2]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[1,5,4,6,2,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[1,5,4,6,3,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1]=>4
[1,5,6,3,2,4]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1]=>4
[1,5,6,3,4,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[1,5,6,4,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[1,5,6,4,3,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1]=>5
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[1,6,3,2,4,5]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1]=>5
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[1,6,3,4,5,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[1,6,3,5,4,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[1,6,4,2,3,5]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[1,6,4,3,5,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[1,6,4,5,2,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[1,6,4,5,3,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[1,6,5,2,3,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[1,6,5,3,2,4]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[1,6,5,3,4,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[1,6,5,4,3,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1]=>1
[2,1,3,4,6,5]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[3,4,6,5,2,1]=>2
[2,1,3,5,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[2,1,3,5,6,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[3,5,4,2,6,1]=>2
[2,1,3,6,4,5]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[2,1,3,6,5,4]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[2,1,4,3,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[2,1,4,3,6,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[2,1,4,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[2,1,4,5,6,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>2
[2,1,4,6,3,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[2,1,4,6,5,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[2,1,5,3,4,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[2,1,5,3,6,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[2,1,5,4,3,6]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[2,1,5,4,6,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[2,1,5,6,3,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[2,1,5,6,4,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[2,1,6,3,4,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[2,1,6,3,5,4]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[2,1,6,4,3,5]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[2,1,6,4,5,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[2,1,6,5,3,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[2,1,6,5,4,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[2,3,1,4,5,6]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>2
[2,3,1,4,6,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[2,3,1,5,4,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[2,3,1,5,6,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[2,3,1,6,4,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[2,3,1,6,5,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[2,3,4,1,6,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[2,3,4,5,1,6]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[2,3,5,1,4,6]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[2,3,5,1,6,4]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[2,3,5,4,1,6]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[2,3,5,6,4,1]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>1
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[2,3,6,4,1,5]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[2,4,1,3,5,6]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[3,5,4,2,6,1]=>2
[2,4,1,3,6,5]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[2,4,1,5,6,3]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1]=>4
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[2,4,3,1,5,6]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1]=>4
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>2
[2,4,5,1,3,6]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[2,4,5,1,6,3]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1]=>5
[2,4,5,3,1,6]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1]=>5
[2,4,5,3,6,1]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[2,4,5,6,3,1]=>1
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[2,4,5,6,3,1]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1]=>1
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[2,4,6,1,5,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[5,4,3,6,2,1]=>4
[2,4,6,3,1,5]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[5,4,3,6,2,1]=>4
[2,4,6,3,5,1]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>2
[2,4,6,5,3,1]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[2,5,1,3,4,6]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[3,4,6,5,2,1]=>2
[2,5,1,3,6,4]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[3,6,5,4,2,1]=>4
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[2,5,1,4,6,3]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[4,6,3,5,2,1]=>4
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[2,5,3,1,4,6]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[4,6,3,5,2,1]=>4
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[2,5,3,4,6,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[2,5,3,6,4,1]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[2,5,4,1,3,6]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[3,6,5,4,2,1]=>4
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[2,5,4,3,6,1]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>2
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[3,4,5,2,6,1]=>1
[2,5,6,1,4,3]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[4,5,3,2,6,1]=>3
[2,5,6,3,1,4]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[4,5,3,2,6,1]=>3
[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[2,5,6,4,1,3]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[3,5,2,4,6,1]=>2
[2,5,6,4,3,1]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[3,4,5,6,2,1]=>1
[2,6,1,3,5,4]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[3,5,6,4,2,1]=>3
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[2,6,1,4,5,3]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[4,5,3,6,2,1]=>3
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[2,6,3,1,4,5]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[4,5,3,6,2,1]=>3
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[2,6,3,5,4,1]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[3,5,6,4,2,1]=>3
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[2,6,4,3,5,1]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[3,4,6,2,5,1]=>2
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[2,6,5,3,4,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[2,6,5,4,3,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[3,1,2,4,5,6]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1]=>1
[3,1,2,4,6,5]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[3,1,2,5,4,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[3,1,2,5,6,4]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[3,1,2,6,4,5]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[3,1,2,6,5,4]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[3,1,4,2,5,6]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[4,5,3,2,6,1]=>3
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[3,1,4,5,2,6]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[4,5,3,6,2,1]=>3
[3,1,4,5,6,2]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>2
[3,1,4,6,2,5]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[4,6,3,5,2,1]=>4
[3,1,4,6,5,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[3,1,5,2,4,6]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[5,4,3,6,2,1]=>4
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[3,1,5,4,6,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[3,1,5,6,2,4]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1]=>4
[3,1,5,6,4,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[3,1,6,2,4,5]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1]=>5
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[3,1,6,4,5,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[3,1,6,5,4,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[3,2,1,4,5,6]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>2
[3,2,1,4,6,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[3,2,1,5,4,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[3,2,1,6,4,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[3,2,1,6,5,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[3,2,4,1,5,6]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1]=>4
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[3,2,4,5,1,6]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1]=>5
[3,2,4,5,6,1]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1]=>1
[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[5,4,3,6,2,1]=>4
[3,2,4,6,5,1]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[3,2,5,1,4,6]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[4,6,3,5,2,1]=>4
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[3,2,5,4,6,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[4,5,3,2,6,1]=>3
[3,2,5,6,4,1]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[3,2,6,1,4,5]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[4,5,3,6,2,1]=>3
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[3,2,6,4,5,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[3,2,6,5,1,4]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[3,2,6,5,4,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[3,4,1,2,5,6]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[3,4,1,2,6,5]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[3,4,1,5,6,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[3,4,1,6,2,5]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[3,4,1,6,5,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[3,4,2,1,5,6]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[3,4,2,1,6,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[3,4,2,5,1,6]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[3,4,2,5,6,1]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[3,4,2,6,1,5]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[3,4,2,6,5,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[3,4,5,1,2,6]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[3,4,5,1,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[3,4,5,2,1,6]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[3,4,5,2,6,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[3,4,5,6,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[3,4,6,1,5,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[3,4,6,2,1,5]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[3,4,6,2,5,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[3,4,6,5,2,1]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[3,5,1,2,4,6]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[3,5,1,2,6,4]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[3,5,1,4,6,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[3,5,1,6,2,4]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[3,5,1,6,4,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[3,5,2,1,4,6]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[3,5,2,1,6,4]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[3,5,2,4,1,6]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[3,5,2,4,6,1]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[3,5,2,6,1,4]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[3,5,2,6,4,1]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[3,5,4,1,2,6]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[3,5,4,1,6,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[3,5,4,2,1,6]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[3,5,4,2,6,1]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[3,5,4,6,2,1]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[3,5,6,2,4,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[3,5,6,4,1,2]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>1
[3,5,6,4,2,1]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>1
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[2,4,5,6,3,1]=>1
[3,6,1,2,5,4]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[3,6,1,4,5,2]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[3,6,1,5,2,4]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[3,6,1,5,4,2]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[3,6,2,1,4,5]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[3,6,2,1,5,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[3,6,2,4,5,1]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[2,4,5,6,3,1]=>1
[3,6,2,5,1,4]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[3,6,2,5,4,1]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[3,6,4,1,5,2]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[3,6,4,2,1,5]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[3,6,4,2,5,1]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[3,6,4,5,2,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>2
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[3,6,5,2,1,4]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[3,6,5,2,4,1]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>2
[3,6,5,4,1,2]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[3,6,5,4,2,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[4,1,2,3,5,6]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>1
[4,1,2,3,6,5]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[4,1,2,5,3,6]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[4,1,2,5,6,3]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[4,1,2,6,3,5]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[4,1,2,6,5,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[4,1,3,2,5,6]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[3,5,2,4,6,1]=>2
[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[4,1,3,5,2,6]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[3,5,6,4,2,1]=>3
[4,1,3,5,6,2]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[3,5,4,2,6,1]=>2
[4,1,3,6,2,5]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[3,6,5,4,2,1]=>4
[4,1,3,6,5,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[4,1,5,2,3,6]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[4,1,5,2,6,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[4,1,5,3,6,2]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[4,1,5,6,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[4,1,5,6,3,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[4,1,6,2,3,5]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[4,1,6,2,5,3]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[4,1,6,3,2,5]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[4,1,6,3,5,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[4,1,6,5,2,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,1,6,5,3,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,2,1,3,5,6]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[3,5,4,2,6,1]=>2
[4,2,1,3,6,5]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[4,2,1,5,3,6]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[4,2,1,5,6,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[4,2,1,6,3,5]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[4,2,1,6,5,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,2,3,1,5,6]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[4,2,3,1,6,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,2,3,5,1,6]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[4,2,3,5,6,1]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>1
[4,2,3,6,1,5]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[4,2,3,6,5,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[4,2,5,1,3,6]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[3,6,5,4,2,1]=>4
[4,2,5,1,6,3]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[4,2,5,3,1,6]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[4,2,5,3,6,1]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[4,2,5,6,1,3]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[3,5,2,4,6,1]=>2
[4,2,5,6,3,1]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[4,2,6,1,3,5]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[3,5,6,4,2,1]=>3
[4,2,6,1,5,3]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[4,2,6,3,1,5]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[4,2,6,3,5,1]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[4,2,6,5,1,3]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[4,2,6,5,3,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[4,3,1,2,5,6]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[4,3,1,2,6,5]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[4,3,1,5,2,6]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[4,3,1,5,6,2]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[4,3,1,6,2,5]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[4,3,1,6,5,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,3,2,1,5,6]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>3
[4,3,2,1,6,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,3,2,5,1,6]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>6
[4,3,2,5,6,1]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>2
[4,3,2,6,1,5]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[5,6,4,3,2,1]=>5
[4,3,2,6,5,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[4,3,5,1,2,6]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[4,3,5,1,6,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[4,3,5,2,1,6]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>5
[4,3,5,2,6,1]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>4
[4,3,5,6,1,2]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>1
[4,3,5,6,2,1]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>1
[4,3,6,1,2,5]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[4,3,6,1,5,2]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[4,3,6,2,1,5]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]=>4
[4,3,6,2,5,1]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]=>3
[4,3,6,5,1,2]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[4,3,6,5,2,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[4,5,1,2,3,6]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[4,5,1,2,6,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[4,5,1,3,2,6]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[4,5,1,3,6,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[4,5,1,6,2,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,5,1,6,3,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,5,2,1,3,6]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[4,5,2,1,6,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,5,2,3,1,6]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,5,2,3,6,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[4,5,2,6,1,3]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[4,5,2,6,3,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[4,5,3,1,2,6]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[4,5,3,1,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,5,3,2,1,6]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[4,5,3,2,6,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[4,5,3,6,1,2]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[4,5,3,6,2,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[4,5,6,2,1,3]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[4,5,6,2,3,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[4,5,6,3,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[4,5,6,3,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[4,6,1,2,5,3]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>2
[4,6,1,3,5,2]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[4,6,1,5,2,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[4,6,1,5,3,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[4,6,2,1,3,5]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[4,6,2,1,5,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[4,6,2,3,1,5]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[4,6,2,3,5,1]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[4,6,2,5,1,3]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>2
[4,6,2,5,3,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[4,6,3,1,2,5]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[4,6,3,1,5,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[4,6,3,2,1,5]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[4,6,3,2,5,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[4,6,3,5,1,2]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[4,6,3,5,2,1]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>2
[4,6,5,2,1,3]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>2
[4,6,5,2,3,1]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[4,6,5,3,1,2]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[4,6,5,3,2,1]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[5,1,2,3,4,6]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[5,1,2,3,6,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[5,1,2,4,3,6]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>2
[5,1,2,4,6,3]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[5,1,2,6,3,4]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,1,2,6,4,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,1,3,2,4,6]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>2
[5,1,3,2,6,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[5,1,3,4,2,6]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[3,4,6,2,5,1]=>2
[5,1,3,4,6,2]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[3,4,6,5,2,1]=>2
[5,1,3,6,2,4]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[5,1,3,6,4,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[5,1,4,2,3,6]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[5,1,4,2,6,3]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[5,1,4,3,2,6]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[5,1,4,3,6,2]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[5,1,4,6,2,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[5,1,4,6,3,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[5,1,6,2,3,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,1,6,2,4,3]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[5,1,6,3,2,4]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[5,1,6,3,4,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,1,6,4,2,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,1,6,4,3,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,2,1,3,4,6]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[3,4,6,5,2,1]=>2
[5,2,1,3,6,4]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[5,2,1,4,3,6]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[5,2,1,4,6,3]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[5,2,1,6,3,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,2,1,6,4,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,2,3,1,4,6]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[5,2,3,1,6,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,2,3,4,1,6]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,2,3,4,6,1]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[5,2,3,6,1,4]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[5,2,3,6,4,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[5,2,4,1,3,6]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[5,2,4,1,6,3]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[5,2,4,3,1,6]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[5,2,4,3,6,1]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>2
[5,2,4,6,1,3]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>2
[5,2,4,6,3,1]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[5,2,6,1,3,4]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[3,4,6,2,5,1]=>2
[5,2,6,1,4,3]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[5,2,6,3,1,4]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[5,2,6,3,4,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,2,6,4,1,3]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[5,2,6,4,3,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,3,1,2,4,6]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[5,3,1,2,6,4]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,3,1,4,2,6]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[5,3,1,4,6,2]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[5,3,1,6,2,4]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[5,3,1,6,4,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,3,2,1,4,6]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[4,3,6,5,2,1]=>3
[5,3,2,1,6,4]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,3,2,4,1,6]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>5
[5,3,2,4,6,1]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,6,5,3,1]=>2
[5,3,2,6,1,4]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[4,6,5,3,2,1]=>4
[5,3,2,6,4,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,3,4,1,2,6]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,3,4,1,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,3,4,2,1,6]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,3,4,2,6,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,3,4,6,1,2]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[5,3,4,6,2,1]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[5,3,6,1,2,4]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>2
[5,3,6,1,4,2]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[5,3,6,2,1,4]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>3
[5,3,6,2,4,1]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>2
[5,3,6,4,1,2]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[5,3,6,4,2,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[5,4,1,2,3,6]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[5,4,1,2,6,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,4,1,3,2,6]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[5,4,1,3,6,2]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[5,4,1,6,2,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,4,1,6,3,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,4,2,1,3,6]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[3,6,4,5,2,1]=>3
[5,4,2,1,6,3]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,4,2,3,1,6]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,4,2,3,6,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[5,4,2,6,1,3]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>3
[5,4,2,6,3,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,4,3,1,2,6]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,4,3,1,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,4,3,2,1,6]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>4
[5,4,3,2,6,1]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>3
[5,4,3,6,1,2]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[5,4,3,6,2,1]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>2
[5,4,6,1,2,3]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[5,4,6,1,3,2]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>2
[5,4,6,2,1,3]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>2
[5,4,6,2,3,1]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[5,4,6,3,1,2]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[5,4,6,3,2,1]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>1
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[3,4,5,2,6,1]=>1
[5,6,1,4,2,3]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[5,6,1,4,3,2]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[5,6,2,1,3,4]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[3,4,5,2,6,1]=>1
[5,6,2,1,4,3]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[5,6,2,3,1,4]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[5,6,2,3,4,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[5,6,2,4,1,3]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[5,6,2,4,3,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[5,6,3,1,2,4]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[5,6,3,1,4,2]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[5,6,3,2,1,4]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[5,6,3,2,4,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[5,6,3,4,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[5,6,3,4,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[5,6,4,1,2,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[5,6,4,1,3,2]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[5,6,4,2,1,3]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[5,6,4,2,3,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[5,6,4,3,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[5,6,4,3,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,1,2,3,5,4]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[6,1,2,4,3,5]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[6,1,2,4,5,3]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[2,4,5,6,3,1]=>1
[6,1,2,5,3,4]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,1,2,5,4,3]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,1,3,2,4,5]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[6,1,3,2,5,4]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>2
[6,1,3,4,2,5]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[3,4,5,2,6,1]=>1
[6,1,3,4,5,2]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[3,4,5,6,2,1]=>1
[6,1,3,5,2,4]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[6,1,3,5,4,2]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[6,1,4,2,3,5]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,1,4,2,5,3]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[6,1,4,3,2,5]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[6,1,4,3,5,2]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,1,4,5,2,3]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[6,1,4,5,3,2]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[6,1,5,2,3,4]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,1,5,2,4,3]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[6,1,5,3,2,4]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[6,1,5,3,4,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,1,5,4,2,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,1,5,4,3,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,2,1,3,4,5]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[3,4,5,6,2,1]=>1
[6,2,1,3,5,4]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[6,2,1,4,3,5]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,2,1,4,5,3]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[6,2,1,5,3,4]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,2,1,5,4,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,2,3,1,4,5]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[6,2,3,1,5,4]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,2,3,4,1,5]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,2,3,4,5,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,2,3,5,1,4]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,2,3,5,4,1]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[6,2,4,1,3,5]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[6,2,4,1,5,3]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[6,2,4,3,1,5]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[6,2,4,3,5,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[6,2,4,5,1,3]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[6,2,4,5,3,1]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[2,4,5,6,3,1]=>1
[6,2,5,1,3,4]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[3,4,5,2,6,1]=>1
[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[6,2,5,3,1,4]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[6,2,5,3,4,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,2,5,4,1,3]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>2
[6,2,5,4,3,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,3,1,2,4,5]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[2,4,5,6,3,1]=>1
[6,3,1,2,5,4]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,3,1,4,2,5]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[6,3,1,4,5,2]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[6,3,1,5,2,4]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[6,3,1,5,4,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,3,2,1,4,5]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[4,3,5,6,2,1]=>2
[6,3,2,1,5,4]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,3,2,4,1,5]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>4
[6,3,2,4,5,1]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[2,4,5,6,3,1]=>1
[6,3,2,5,1,4]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[4,5,6,3,2,1]=>3
[6,3,2,5,4,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,3,4,1,2,5]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,3,4,1,5,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,3,4,2,1,5]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,3,4,2,5,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,3,4,5,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,3,4,5,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,3,5,1,2,4]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[6,3,5,1,4,2]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,3,5,2,1,4]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,3,5,2,4,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[6,3,5,4,1,2]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[6,3,5,4,2,1]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[6,4,1,2,3,5]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[6,4,1,2,5,3]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,4,1,3,2,5]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>2
[6,4,1,3,5,2]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[6,4,1,5,2,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,4,1,5,3,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,4,2,1,3,5]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[3,5,4,6,2,1]=>2
[6,4,2,1,5,3]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,4,2,3,1,5]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,4,2,3,5,1]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[6,4,2,5,1,3]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>2
[6,4,2,5,3,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,4,3,1,2,5]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,4,3,1,5,2]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,4,3,2,1,5]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>3
[6,4,3,2,5,1]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>2
[6,4,3,5,1,2]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[6,4,3,5,2,1]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>1
[6,4,5,1,2,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,4,5,1,3,2]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[6,4,5,2,1,3]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[6,4,5,2,3,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,4,5,3,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,4,5,3,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,5,1,2,3,4]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,5,1,2,4,3]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[6,5,1,3,2,4]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[6,5,1,3,4,2]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[3,4,5,2,6,1]=>1
[6,5,1,4,2,3]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,5,1,4,3,2]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,5,2,1,3,4]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[3,4,5,2,6,1]=>1
[6,5,2,1,4,3]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,5,2,3,1,4]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,5,2,3,4,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,5,2,4,1,3]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[6,5,2,4,3,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[6,5,3,1,2,4]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[6,5,3,1,4,2]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,5,3,2,1,4]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>2
[6,5,3,2,4,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>1
[6,5,3,4,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,5,3,4,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,5,4,1,2,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,5,4,1,3,2]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[6,5,4,2,1,3]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>1
[6,5,4,2,3,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,5,4,3,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>0
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>1
[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1]=>1
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[1,4,3,5,6,7,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]=>2
[1,4,5,6,7,3,2]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]=>2
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1]=>1
[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[2,1,4,5,6,7,3]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]=>2
[2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]=>2
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[2,3,5,6,7,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[2,5,6,7,1,3,4]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[2,6,7,1,3,4,5]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>1
[3,1,4,5,6,7,2]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]=>2
[3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]=>2
[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[3,5,6,7,1,4,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[3,5,6,7,2,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>9
[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[5,6,7,1,3,4,2]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[5,6,7,1,4,2,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[5,6,7,1,4,3,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[5,6,7,2,1,3,4]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[5,6,7,2,1,4,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[5,6,7,2,3,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[5,6,7,3,1,4,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[5,6,7,3,2,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[5,6,7,3,4,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[5,6,7,3,4,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[5,6,7,4,1,3,2]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[5,6,7,4,2,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[5,6,7,4,2,3,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[5,6,7,4,3,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[5,6,7,4,3,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[6,7,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>1
[6,7,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>1
[6,7,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[6,7,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[6,7,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[6,7,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[6,7,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[6,7,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[6,7,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[6,7,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[6,7,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[6,7,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>1
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,1,4,3,5,6,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,2,1,4,3,5,6]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,2,3,4,5,6,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,2,3,5,6,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,2,4,5,6,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,2,5,6,1,3,4]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>1
[7,3,4,5,6,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,3,4,5,6,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,3,5,6,1,4,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,3,5,6,2,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,4,5,6,2,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,4,5,6,2,3,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,4,5,6,3,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,4,5,6,3,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,5,6,1,3,2,4]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,5,6,1,3,4,2]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,5,6,1,4,3,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,5,6,2,1,3,4]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[7,5,6,2,1,4,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,5,6,2,3,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,5,6,2,3,4,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,5,6,3,1,4,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,5,6,3,2,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,5,6,4,1,2,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,5,6,4,1,3,2]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,5,6,4,2,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,5,6,4,3,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[7,6,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>1
[7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[3,4,5,6,2,7,1]=>1
[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,6,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[7,6,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[3,4,5,2,6,7,1]=>1
[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>2
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>1
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>0
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,5,6,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[6,7,8,3,4,5,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[6,7,8,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[5,6,7,8,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,3,4,5,6,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[3,4,5,6,7,8,1,2]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[7,8,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[6,7,8,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[7,8,5,6,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[5,6,7,8,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[4,5,3,6,2,7,1,8]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[5,6,7,2,1,3,4,8]=>[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]=>4
[3,2,1,4,5,6,7,8]=>[1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,1]=>2
[2,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,1]=>1
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>0
[3,5,6,8,7,4,2,1]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[2,3,5,6,8,7,4,1]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[1,3,4,8,7,6,5,2]=>[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]=>4
[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,1]=>1
[2,1,4,5,6,7,8,3]=>[1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,1]=>2
[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[2,1,4,3,6,8,7,5]=>[1,4,2,3,6,8,5,7]=>[7,5,8,6,3,2,4,1]=>[4,3,6,2,8,7,5,1]=>4
[2,1,3,4,8,7,6,5]=>[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]=>4
[2,1,5,4,3,6,8,7]=>[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[5,3,6,8,4,7,2,1]=>5
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[2,1,4,3,6,8,5,7]=>[1,4,2,3,6,8,5,7]=>[7,5,8,6,3,2,4,1]=>[4,3,6,2,8,7,5,1]=>4
[2,1,4,6,8,3,5,7]=>[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]=>[4,3,6,5,8,7,2,1]=>4
[2,4,7,1,3,8,5,6]=>[1,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,1]=>[3,8,4,7,6,5,2,1]=>7
[2,4,5,6,7,8,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[2,5,6,7,8,1,3,4]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[2,6,1,7,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[2,1,3,4,8,5,6,7]=>[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]=>4
[3,1,4,5,6,7,8,2]=>[1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,1]=>2
[3,5,1,7,2,8,4,6]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,1]=>2
[4,7,1,2,3,5,6,8]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[4,1,2,3,5,6,8,7]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[3,6,1,5,4,2,8,7]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[2,1,5,8,3,7,6,4]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[2,1,6,8,7,3,5,4]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[5,7,8,6,1,4,2,3]=>[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[4,3,5,2,7,6,8,1]=>3
[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[8,6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[6,5,3,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[2,8,4,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[5,6,7,8,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[3,5,1,7,2,8,6,4]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[4,3,5,6,8,7,1,2]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[2,1,5,8,3,7,4,6]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[5,3,2,6,1,8,4,7]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[6,3,7,2,1,5,8,4]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[6,5,7,8,2,1,4,3]=>[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[4,3,5,2,7,6,8,1]=>3
[5,3,2,7,1,4,8,6]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[7,8,3,2,1,4,6,5]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,2,8,1]=>3
[1,3,5,8,2,7,6,4]=>[1,3,5,8,2,7,4,6]=>[6,4,7,2,8,5,3,1]=>[3,5,8,7,6,4,2,1]=>6
[3,5,2,8,1,7,6,4]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[4,1,6,2,5,3,8,7]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[3,1,8,2,6,4,7,5]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[4,1,7,2,6,3,8,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[5,1,7,3,8,2,6,4]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[4,5,2,6,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[3,5,6,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[6,1,7,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[4,7,1,5,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[3,7,4,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[3,6,2,7,1,8,5,4]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[4,7,2,6,5,3,1,8]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[8,6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[1,5,8,3,7,6,4,2]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[1,6,8,7,3,5,4,2]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[1,5,8,3,7,4,6,2]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[4,2,5,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[4,1,5,3,6,2,8,7]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[4,3,6,2,7,1,8,5]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[4,3,5,1,7,2,8,6]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[5,3,6,2,7,1,8,4]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[5,2,6,1,7,3,8,4]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[4,2,6,1,7,3,8,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[3,2,6,4,7,1,8,5]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[5,2,6,4,7,1,8,3]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[5,2,6,4,7,3,8,1]=>[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[2,6,8,7,5,4,3,1]=>7
[5,4,7,3,1,8,2,6]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[8,7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[3,7,8,4,1,6,2,5]=>[1,6,2,5,3,7,8,4]=>[4,8,7,3,5,2,6,1]=>[6,5,7,4,3,2,8,1]=>7
[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[6,3,5,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[1,5,8,6,3,7,4,2]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[5,2,7,4,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[4,7,2,6,3,1,8,5]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[4,3,7,8,2,1,5,6]=>[1,5,6,2,3,7,8,4]=>[4,8,7,3,2,6,5,1]=>[5,3,6,4,7,2,8,1]=>4
[2,1,5,3,6,8,7,4]=>[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[5,3,6,8,4,7,2,1]=>5
[4,7,2,8,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[3,6,8,7,1,5,4,2]=>[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[5,3,6,8,4,7,2,1]=>5
[2,1,5,8,4,6,3,7]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[4,1,8,3,6,5,2,7]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[7,4,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[6,5,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[7,1,6,8,4,3,5,2]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[4,1,8,3,6,2,7,5]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[3,1,4,8,6,2,7,5]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[3,1,4,8,6,5,2,7]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[5,3,6,2,7,4,1,8]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[4,1,7,2,6,5,3,8]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[5,4,7,3,8,1,2,6]=>[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[2,6,8,7,5,4,3,1]=>7
[7,4,1,6,8,2,3,5]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[2,4,5,6,7,8,9,1,3]=>[1,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,9,1]=>1
[3,4,5,6,7,8,9,1,2]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[3,6,2,7,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[7,8,6,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]=>[4,3,6,5,8,7,2,1]=>4
[6,4,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[5,6,2,1,3,4,8,7]=>[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]=>4
[3,4,7,1,8,2,6,5]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[1,7,2,8,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[1,5,2,8,3,6,4,7]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[1,7,2,6,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[5,7,8,2,1,4,6,3]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,2,8,1]=>3
[5,7,8,3,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,2,8,1]=>3
[4,7,3,8,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[4,7,3,8,1,2,6,5]=>[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[2,6,8,7,5,4,3,1]=>7
[6,7,8,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[7,3,5,6,8,4,2,1]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[3,1,4,6,8,5,7,2]=>[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]=>[4,3,6,5,8,7,2,1]=>4
[7,3,6,1,5,4,2,8]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[6,4,7,5,1,3,8,2]=>[1,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,1]=>[3,8,4,7,6,5,2,1]=>7
[6,3,5,1,7,2,8,4]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[1,8,4,7,2,6,5,3]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[4,2,1,5,8,3,7,6]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[4,2,1,6,8,7,3,5]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[3,5,7,8,6,1,4,2]=>[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[4,3,5,2,7,6,8,1]=>3
[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[8,7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[7,1,3,4,8,2,5,6]=>[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]=>4
[3,5,2,1,6,8,7,4]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[7,1,4,6,8,2,3,5]=>[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]=>[4,3,6,5,8,7,2,1]=>4
[4,1,7,3,5,2,8,6]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[7,8,5,6,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[3,4,5,2,6,7,8,1]=>1
[7,8,2,4,5,6,1,3]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[1,7,3,8,5,2,6,4]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[5,7,8,6,3,2,1,4]=>[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[4,3,5,2,7,6,8,1]=>3
[5,6,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[7,2,3,5,4,1,6,8]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[4,2,6,1,7,3,5,8]=>[1,7,2,6,3,5,8,4]=>[4,8,5,3,6,2,7,1]=>[7,6,5,4,8,3,2,1]=>9
[2,3,7,1,5,8,6,4]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[4,7,2,3,6,8,1,5]=>[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[5,3,6,8,4,7,2,1]=>5
[5,3,8,1,2,6,4,7]=>[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[2,6,8,7,5,4,3,1]=>7
[5,1,8,4,2,7,3,6]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[3,8,4,7,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[2,6,8,7,5,4,3,1]=>7
[2,8,4,7,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[7,1,5,4,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[1,7,6,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[1,7,5,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[1,7,4,2,8,6,3,5]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[2,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,1]=>1
[2,1,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,1]=>1
[6,7,1,3,4,8,5,2]=>[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]=>4
[7,8,3,5,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,2,8,1]=>3
[1,7,3,8,4,5,2,6]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[5,4,2,7,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[2,8,4,7,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[2,7,3,6,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,1]=>1
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,1]=>1
[4,6,3,5,2,8,1,7]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[4,7,3,6,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[4,7,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[4,5,3,8,2,6,1,7]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[2,1,6,8,7,4,3,5]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[5,7,8,6,2,3,1,4]=>[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[4,3,5,2,7,6,8,1]=>3
[1,6,2,5,4,7,3,8]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[6,2,8,3,5,1,7,4]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[5,1,8,3,2,6,4,7]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[1,7,5,4,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[4,1,5,2,8,7,3,6]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>0
[11,10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>0
[3,7,8,4,2,5,1,6]=>[1,6,2,5,3,7,8,4]=>[4,8,7,3,5,2,6,1]=>[6,5,7,4,3,2,8,1]=>7
[5,7,8,3,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,2,8,1]=>3
[4,6,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[3,5,4,2,8,6,1,7]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[3,6,4,7,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[2,6,4,7,3,8,5,1]=>[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[2,6,8,7,5,4,3,1]=>7
[4,7,3,5,2,1,6,8]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[7,2,1,5,3,6,8,4]=>[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[5,3,6,8,4,7,2,1]=>5
[3,5,6,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[3,5,6,8,7,4,1,2]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[5,2,6,1,8,4,7,3]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[4,2,6,1,7,5,3,8]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[3,2,5,7,8,1,6,4]=>[1,6,2,5,7,8,3,4]=>[4,3,8,7,5,2,6,1]=>[6,5,4,3,7,2,8,1]=>6
[6,3,2,7,1,4,8,5]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[3,2,7,1,4,8,6,5]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[3,5,2,8,1,7,4,6]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[8,6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[2,8,1,5,4,7,3,6]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[2,8,1,7,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[4,2,8,1,7,6,3,5]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[2,8,1,7,6,4,3,5]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[4,6,2,8,3,5,1,7]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[4,5,1,7,3,8,2,6]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[4,5,1,8,3,6,2,7]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>0
[2,8,7,4,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[3,8,7,4,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[8,7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,2,8,1]=>3
[2,5,7,8,1,6,4,3]=>[1,6,2,5,7,8,3,4]=>[4,3,8,7,5,2,6,1]=>[6,5,4,3,7,2,8,1]=>6
[3,6,5,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[5,3,6,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[7,2,1,3,4,8,6,5]=>[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]=>4
[2,1,4,6,8,5,7,3]=>[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]=>[4,3,6,5,8,7,2,1]=>4
[1,6,4,7,3,8,2,5]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[6,4,2,1,5,8,3,7]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[8,3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,2,8,1]=>3
[3,7,2,1,5,8,4,6]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[4,2,8,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[3,2,6,1,8,4,7,5]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[4,7,3,8,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[2,6,8,7,5,4,3,1]=>7
[4,3,6,1,8,2,7,5]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[4,2,1,5,6,3,7,8]=>[1,5,6,2,3,7,8,4]=>[4,8,7,3,2,6,5,1]=>[5,3,6,4,7,2,8,1]=>4
[2,8,3,5,4,1,7,6]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[4,2,6,3,8,1,7,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[2,4,7,5,1,3,8,6]=>[1,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,1]=>[3,8,4,7,6,5,2,1]=>7
[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>0
[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[9,10,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[9,10,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[8,9,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[9,10,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[9,10,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>0
[6,2,1,5,8,3,7,4]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[5,6,3,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[2,5,4,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[3,5,2,1,4,6,8,7]=>[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]=>[4,3,6,5,8,7,2,1]=>4
[2,7,6,1,4,8,5,3]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[2,7,6,1,4,8,3,5]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[7,3,5,6,8,4,1,2]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[6,4,1,5,8,3,7,2]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[6,3,5,7,8,2,1,4]=>[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[4,3,5,2,7,6,8,1]=>3
[2,8,1,7,4,6,3,5]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[3,8,1,7,2,6,4,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[7,2,8,4,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[6,3,1,4,8,5,2,7]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[2,5,3,7,8,1,6,4]=>[1,6,2,5,3,7,8,4]=>[4,8,7,3,5,2,6,1]=>[6,5,7,4,3,2,8,1]=>7
[1,4,7,8,3,6,2,5]=>[1,4,7,8,2,5,3,6]=>[6,3,5,2,8,7,4,1]=>[4,7,5,6,3,2,8,1]=>5
[5,2,6,4,1,7,3,8]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[4,5,1,7,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[3,6,2,7,5,1,8,4]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[8,5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[6,7,8,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>1
[1,8,5,2,7,3,6,4]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[1,6,8,7,4,2,3,5]=>[1,6,8,2,3,5,4,7]=>[7,4,5,3,2,8,6,1]=>[6,3,5,8,4,7,2,1]=>6
[2,6,4,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[6,1,4,3,5,7,8,2]=>[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[4,3,5,2,7,6,8,1]=>3
[3,2,7,6,5,1,4,8]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[1,3,7,4,8,2,5,6]=>[1,3,7,2,5,6,4,8]=>[8,4,6,5,2,7,3,1]=>[3,7,5,6,8,4,2,1]=>5
[3,8,4,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[5,4,7,1,8,3,2,6]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[2,7,1,8,4,5,3,6]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[8,2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,2,8,1]=>3
[4,3,6,1,5,2,8,7]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[4,3,5,2,8,1,7,6]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[4,3,8,2,6,1,7,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[4,3,8,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[5,4,7,2,6,3,8,1]=>[1,2,6,3,8,4,7,5]=>[5,7,4,8,3,6,2,1]=>[2,6,8,7,5,4,3,1]=>7
[1,7,4,3,8,5,2,6]=>[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]=>10
[5,6,1,4,8,2,7,3]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[6,1,3,8,5,2,4,7]=>[1,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,1]=>[3,8,4,7,6,5,2,1]=>7
[7,2,8,3,6,1,5,4]=>[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[5,8,6,7,4,3,2,1]=>8
[5,3,1,4,8,2,7,6]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[5,1,3,8,2,4,7,6]=>[1,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,1]=>[3,8,4,7,6,5,2,1]=>7
[5,1,4,8,2,7,6,3]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[4,2,7,1,8,3,6,5]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>12
[2,7,6,5,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[2,7,1,4,8,3,5,6]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[4,7,6,5,2,1,3,8]=>[1,3,8,2,4,7,5,6]=>[6,5,7,4,2,8,3,1]=>[3,8,4,7,6,5,2,1]=>7
[4,7,2,1,5,3,6,8]=>[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[5,3,6,8,4,7,2,1]=>5
[4,3,7,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>[6,4,7,3,2,8,5,1]=>[5,3,8,7,6,4,2,1]=>7
[7,1,2,3,5,6,8,4]=>[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[2,3,5,6,8,7,4,1]=>2
[1,4,8,2,7,3,5,6]=>[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[4,8,7,5,6,3,2,1]=>8
[2,3,6,8,4,7,1,5]=>[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[5,3,6,8,4,7,2,1]=>5
[6,2,8,1,7,3,5,4]=>[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[7,8,5,6,4,3,2,1]=>10
[2,5,3,8,7,1,6,4]=>[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[6,5,8,7,4,3,2,1]=>8
[5,1,8,4,7,2,6,3]=>[1,8,2,6,3,4,7,5]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]=>10
[1,3,4,8,7,6,2,5]=>[1,3,4,8,2,5,6,7]=>[7,6,5,2,8,4,3,1]=>[3,4,8,5,6,7,2,1]=>4
[8,7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7,8]=>[8,7,5,3,2,6,4,1]=>[4,3,6,5,7,2,8,1]=>3
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Description
The number of nestings in the permutation.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
- $des$ is the number of descents, St000021The number of descents of a permutation.,
- $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
- $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
- $Ebot$ is the sum of the excedance bottoms,
- $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
- $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
- $Res$ is the sum of the (right) embracing numbers,
- $Ine$ is the sum of the side numbers.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
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