Identifier
-
Mp00223:
Permutations
—runsort⟶
Permutations
Mp00069: Permutations —complement⟶ Permutations
St000358: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>[1]=>0
[1,2]=>[1,2]=>[2,1]=>0
[2,1]=>[1,2]=>[2,1]=>0
[1,2,3]=>[1,2,3]=>[3,2,1]=>0
[1,3,2]=>[1,3,2]=>[3,1,2]=>1
[2,1,3]=>[1,3,2]=>[3,1,2]=>1
[2,3,1]=>[1,2,3]=>[3,2,1]=>0
[3,1,2]=>[1,2,3]=>[3,2,1]=>0
[3,2,1]=>[1,2,3]=>[3,2,1]=>0
[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>0
[1,2,4,3]=>[1,2,4,3]=>[4,3,1,2]=>1
[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>1
[1,3,4,2]=>[1,3,4,2]=>[4,2,1,3]=>1
[1,4,2,3]=>[1,4,2,3]=>[4,1,3,2]=>2
[1,4,3,2]=>[1,4,2,3]=>[4,1,3,2]=>2
[2,1,3,4]=>[1,3,4,2]=>[4,2,1,3]=>1
[2,1,4,3]=>[1,4,2,3]=>[4,1,3,2]=>2
[2,3,1,4]=>[1,4,2,3]=>[4,1,3,2]=>2
[2,3,4,1]=>[1,2,3,4]=>[4,3,2,1]=>0
[2,4,1,3]=>[1,3,2,4]=>[4,2,3,1]=>1
[2,4,3,1]=>[1,2,4,3]=>[4,3,1,2]=>1
[3,1,2,4]=>[1,2,4,3]=>[4,3,1,2]=>1
[3,1,4,2]=>[1,4,2,3]=>[4,1,3,2]=>2
[3,2,1,4]=>[1,4,2,3]=>[4,1,3,2]=>2
[3,2,4,1]=>[1,2,4,3]=>[4,3,1,2]=>1
[3,4,1,2]=>[1,2,3,4]=>[4,3,2,1]=>0
[3,4,2,1]=>[1,2,3,4]=>[4,3,2,1]=>0
[4,1,2,3]=>[1,2,3,4]=>[4,3,2,1]=>0
[4,1,3,2]=>[1,3,2,4]=>[4,2,3,1]=>1
[4,2,1,3]=>[1,3,2,4]=>[4,2,3,1]=>1
[4,2,3,1]=>[1,2,3,4]=>[4,3,2,1]=>0
[4,3,1,2]=>[1,2,3,4]=>[4,3,2,1]=>0
[4,3,2,1]=>[1,2,3,4]=>[4,3,2,1]=>0
[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>1
[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>1
[1,2,4,5,3]=>[1,2,4,5,3]=>[5,4,2,1,3]=>1
[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[1,2,5,4,3]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>1
[1,3,2,5,4]=>[1,3,2,5,4]=>[5,3,4,1,2]=>2
[1,3,4,2,5]=>[1,3,4,2,5]=>[5,3,2,4,1]=>1
[1,3,4,5,2]=>[1,3,4,5,2]=>[5,3,2,1,4]=>1
[1,3,5,2,4]=>[1,3,5,2,4]=>[5,3,1,4,2]=>2
[1,3,5,4,2]=>[1,3,5,2,4]=>[5,3,1,4,2]=>2
[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[1,4,2,5,3]=>[1,4,2,5,3]=>[5,2,4,1,3]=>3
[1,4,3,2,5]=>[1,4,2,5,3]=>[5,2,4,1,3]=>3
[1,4,3,5,2]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[1,4,5,2,3]=>[1,4,5,2,3]=>[5,2,1,4,3]=>2
[1,4,5,3,2]=>[1,4,5,2,3]=>[5,2,1,4,3]=>2
[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[1,5,2,4,3]=>[1,5,2,4,3]=>[5,1,4,2,3]=>4
[1,5,3,2,4]=>[1,5,2,4,3]=>[5,1,4,2,3]=>4
[1,5,3,4,2]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[1,5,4,2,3]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[1,5,4,3,2]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[2,1,3,4,5]=>[1,3,4,5,2]=>[5,3,2,1,4]=>1
[2,1,3,5,4]=>[1,3,5,2,4]=>[5,3,1,4,2]=>2
[2,1,4,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[2,1,4,5,3]=>[1,4,5,2,3]=>[5,2,1,4,3]=>2
[2,1,5,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[2,1,5,4,3]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[2,3,1,4,5]=>[1,4,5,2,3]=>[5,2,1,4,3]=>2
[2,3,1,5,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[2,3,4,1,5]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[2,3,4,5,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[2,3,5,1,4]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[2,3,5,4,1]=>[1,2,3,5,4]=>[5,4,3,1,2]=>1
[2,4,1,3,5]=>[1,3,5,2,4]=>[5,3,1,4,2]=>2
[2,4,1,5,3]=>[1,5,2,4,3]=>[5,1,4,2,3]=>4
[2,4,3,1,5]=>[1,5,2,4,3]=>[5,1,4,2,3]=>4
[2,4,3,5,1]=>[1,2,4,3,5]=>[5,4,2,3,1]=>1
[2,4,5,1,3]=>[1,3,2,4,5]=>[5,3,4,2,1]=>1
[2,4,5,3,1]=>[1,2,4,5,3]=>[5,4,2,1,3]=>1
[2,5,1,3,4]=>[1,3,4,2,5]=>[5,3,2,4,1]=>1
[2,5,1,4,3]=>[1,4,2,5,3]=>[5,2,4,1,3]=>3
[2,5,3,1,4]=>[1,4,2,5,3]=>[5,2,4,1,3]=>3
[2,5,3,4,1]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[2,5,4,1,3]=>[1,3,2,5,4]=>[5,3,4,1,2]=>2
[2,5,4,3,1]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[3,1,2,4,5]=>[1,2,4,5,3]=>[5,4,2,1,3]=>1
[3,1,2,5,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[3,1,4,2,5]=>[1,4,2,5,3]=>[5,2,4,1,3]=>3
[3,1,4,5,2]=>[1,4,5,2,3]=>[5,2,1,4,3]=>2
[3,1,5,2,4]=>[1,5,2,4,3]=>[5,1,4,2,3]=>4
[3,1,5,4,2]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[3,2,1,4,5]=>[1,4,5,2,3]=>[5,2,1,4,3]=>2
[3,2,1,5,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[3,2,4,1,5]=>[1,5,2,4,3]=>[5,1,4,2,3]=>4
[3,2,4,5,1]=>[1,2,4,5,3]=>[5,4,2,1,3]=>1
[3,2,5,1,4]=>[1,4,2,5,3]=>[5,2,4,1,3]=>3
[3,2,5,4,1]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[3,4,1,2,5]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[3,4,1,5,2]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[3,4,2,1,5]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[3,4,2,5,1]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[3,4,5,1,2]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[3,4,5,2,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[3,5,1,2,4]=>[1,2,4,3,5]=>[5,4,2,3,1]=>1
[3,5,1,4,2]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[3,5,2,1,4]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[3,5,2,4,1]=>[1,2,4,3,5]=>[5,4,2,3,1]=>1
[3,5,4,1,2]=>[1,2,3,5,4]=>[5,4,3,1,2]=>1
[3,5,4,2,1]=>[1,2,3,5,4]=>[5,4,3,1,2]=>1
[4,1,2,3,5]=>[1,2,3,5,4]=>[5,4,3,1,2]=>1
[4,1,2,5,3]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[4,1,3,2,5]=>[1,3,2,5,4]=>[5,3,4,1,2]=>2
[4,1,3,5,2]=>[1,3,5,2,4]=>[5,3,1,4,2]=>2
[4,1,5,2,3]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[4,1,5,3,2]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[4,2,1,3,5]=>[1,3,5,2,4]=>[5,3,1,4,2]=>2
[4,2,1,5,3]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[4,2,3,1,5]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[4,2,3,5,1]=>[1,2,3,5,4]=>[5,4,3,1,2]=>1
[4,2,5,1,3]=>[1,3,2,5,4]=>[5,3,4,1,2]=>2
[4,2,5,3,1]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[4,3,1,2,5]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[4,3,1,5,2]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[4,3,2,1,5]=>[1,5,2,3,4]=>[5,1,4,3,2]=>3
[4,3,2,5,1]=>[1,2,5,3,4]=>[5,4,1,3,2]=>2
[4,3,5,1,2]=>[1,2,3,5,4]=>[5,4,3,1,2]=>1
[4,3,5,2,1]=>[1,2,3,5,4]=>[5,4,3,1,2]=>1
[4,5,1,2,3]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[4,5,1,3,2]=>[1,3,2,4,5]=>[5,3,4,2,1]=>1
[4,5,2,1,3]=>[1,3,2,4,5]=>[5,3,4,2,1]=>1
[4,5,2,3,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[4,5,3,1,2]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[4,5,3,2,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[5,1,2,3,4]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[5,1,2,4,3]=>[1,2,4,3,5]=>[5,4,2,3,1]=>1
[5,1,3,2,4]=>[1,3,2,4,5]=>[5,3,4,2,1]=>1
[5,1,3,4,2]=>[1,3,4,2,5]=>[5,3,2,4,1]=>1
[5,1,4,2,3]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[5,1,4,3,2]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[5,2,1,3,4]=>[1,3,4,2,5]=>[5,3,2,4,1]=>1
[5,2,1,4,3]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[5,2,3,1,4]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[5,2,3,4,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[5,2,4,1,3]=>[1,3,2,4,5]=>[5,3,4,2,1]=>1
[5,2,4,3,1]=>[1,2,4,3,5]=>[5,4,2,3,1]=>1
[5,3,1,2,4]=>[1,2,4,3,5]=>[5,4,2,3,1]=>1
[5,3,1,4,2]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[5,3,2,1,4]=>[1,4,2,3,5]=>[5,2,4,3,1]=>2
[5,3,2,4,1]=>[1,2,4,3,5]=>[5,4,2,3,1]=>1
[5,3,4,1,2]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[5,3,4,2,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[5,4,1,2,3]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[5,4,1,3,2]=>[1,3,2,4,5]=>[5,3,4,2,1]=>1
[5,4,2,1,3]=>[1,3,2,4,5]=>[5,3,4,2,1]=>1
[5,4,2,3,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[5,4,3,1,2]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[5,4,3,2,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>0
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>1
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>2
[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>1
[1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>1
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[1,2,4,6,5,3]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[1,2,5,4,3,6]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[1,2,5,4,6,3]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[1,2,5,6,4,3]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[1,2,6,4,3,5]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[1,2,6,4,5,3]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[1,2,6,5,3,4]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[1,2,6,5,4,3]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>2
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>2
[1,3,2,5,6,4]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>2
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>1
[1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>2
[1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>1
[1,3,4,5,6,2]=>[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>1
[1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>2
[1,3,4,6,5,2]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>2
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>3
[1,3,5,4,2,6]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>3
[1,3,5,4,6,2]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>2
[1,3,5,6,4,2]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>2
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>4
[1,3,6,4,2,5]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>4
[1,3,6,4,5,2]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[1,3,6,5,4,2]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>3
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[1,4,3,2,5,6]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>3
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[1,4,3,5,6,2]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[1,4,3,6,5,2]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>3
[1,4,5,3,2,6]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>3
[1,4,5,3,6,2]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>2
[1,4,5,6,3,2]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>2
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>4
[1,4,6,3,2,5]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>4
[1,4,6,3,5,2]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[1,4,6,5,2,3]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[1,4,6,5,3,2]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[1,5,2,3,6,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>4
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[1,5,3,2,4,6]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>4
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[1,5,3,4,6,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[1,5,3,6,4,2]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[1,5,4,2,3,6]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[1,5,4,3,6,2]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[1,5,4,6,2,3]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[1,5,4,6,3,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>4
[1,5,6,3,2,4]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>4
[1,5,6,3,4,2]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[1,5,6,4,2,3]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[1,5,6,4,3,2]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>5
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[1,6,3,2,4,5]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>5
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[1,6,3,4,5,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[1,6,3,5,4,2]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[1,6,4,2,3,5]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[1,6,4,3,5,2]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[1,6,4,5,2,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[1,6,4,5,3,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[1,6,5,2,3,4]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[1,6,5,3,2,4]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[1,6,5,3,4,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[1,6,5,4,3,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>1
[2,1,3,4,6,5]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>2
[2,1,3,5,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[2,1,3,5,6,4]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>2
[2,1,3,6,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[2,1,3,6,5,4]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[2,1,4,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[2,1,4,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[2,1,4,5,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[2,1,4,5,6,3]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>2
[2,1,4,6,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[2,1,4,6,5,3]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[2,1,5,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[2,1,5,3,6,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[2,1,5,4,3,6]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[2,1,5,4,6,3]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[2,1,5,6,3,4]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[2,1,5,6,4,3]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[2,1,6,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[2,1,6,3,5,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[2,1,6,4,3,5]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[2,1,6,4,5,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[2,1,6,5,3,4]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[2,1,6,5,4,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[2,3,1,4,5,6]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>2
[2,3,1,4,6,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[2,3,1,5,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[2,3,1,5,6,4]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[2,3,1,6,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[2,3,1,6,5,4]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[2,3,4,1,6,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[2,3,4,5,1,6]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[2,3,5,1,4,6]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[2,3,5,1,6,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[2,3,5,4,1,6]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[2,3,5,6,4,1]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>1
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[2,3,6,4,1,5]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[2,4,1,3,5,6]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>2
[2,4,1,3,6,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[2,4,1,5,6,3]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>4
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[2,4,3,1,5,6]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>4
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>2
[2,4,5,1,3,6]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[2,4,5,1,6,3]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>5
[2,4,5,3,1,6]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>5
[2,4,5,3,6,1]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>1
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[2,4,5,6,3,1]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>1
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[2,4,6,1,5,3]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>4
[2,4,6,3,1,5]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>4
[2,4,6,3,5,1]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>2
[2,4,6,5,3,1]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[2,5,1,3,4,6]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>2
[2,5,1,3,6,4]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>4
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[2,5,1,4,6,3]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>4
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[2,5,3,1,4,6]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>4
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[2,5,3,4,6,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[2,5,3,6,4,1]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[2,5,4,1,3,6]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>4
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[2,5,4,3,6,1]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>2
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>1
[2,5,6,1,4,3]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>3
[2,5,6,3,1,4]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>3
[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[2,5,6,4,1,3]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>2
[2,5,6,4,3,1]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>1
[2,6,1,3,5,4]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>3
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[2,6,1,4,5,3]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>3
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[2,6,3,1,4,5]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>3
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[2,6,3,5,4,1]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>3
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[2,6,4,3,5,1]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>2
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[2,6,5,3,4,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[2,6,5,4,3,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[3,1,2,4,5,6]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>1
[3,1,2,4,6,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[3,1,2,5,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[3,1,2,5,6,4]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[3,1,2,6,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[3,1,2,6,5,4]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[3,1,4,2,5,6]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>3
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[3,1,4,5,2,6]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>3
[3,1,4,5,6,2]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>2
[3,1,4,6,2,5]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>4
[3,1,4,6,5,2]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[3,1,5,2,4,6]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>4
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[3,1,5,4,6,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[3,1,5,6,2,4]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>4
[3,1,5,6,4,2]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[3,1,6,2,4,5]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>5
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[3,1,6,4,5,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[3,1,6,5,4,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[3,2,1,4,5,6]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>2
[3,2,1,4,6,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[3,2,1,5,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[3,2,1,6,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[3,2,1,6,5,4]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[3,2,4,1,5,6]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>4
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[3,2,4,5,1,6]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>5
[3,2,4,5,6,1]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>1
[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>4
[3,2,4,6,5,1]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[3,2,5,1,4,6]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>4
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[3,2,5,4,6,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>3
[3,2,5,6,4,1]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[3,2,6,1,4,5]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>3
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[3,2,6,4,5,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[3,2,6,5,1,4]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[3,2,6,5,4,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[3,4,1,2,5,6]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[3,4,1,2,6,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[3,4,1,5,6,2]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[3,4,1,6,2,5]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[3,4,1,6,5,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[3,4,2,1,5,6]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[3,4,2,1,6,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[3,4,2,5,1,6]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[3,4,2,5,6,1]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[3,4,2,6,1,5]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[3,4,2,6,5,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[3,4,5,1,2,6]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[3,4,5,1,6,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[3,4,5,2,1,6]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[3,4,5,2,6,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[3,4,5,6,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[3,4,6,1,5,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[3,4,6,2,1,5]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[3,4,6,2,5,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[3,4,6,5,2,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[3,5,1,2,4,6]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[3,5,1,2,6,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[3,5,1,4,6,2]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[3,5,1,6,2,4]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[3,5,1,6,4,2]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[3,5,2,1,4,6]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[3,5,2,1,6,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[3,5,2,4,1,6]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[3,5,2,4,6,1]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[3,5,2,6,1,4]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[3,5,2,6,4,1]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[3,5,4,1,2,6]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[3,5,4,1,6,2]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[3,5,4,2,1,6]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[3,5,4,2,6,1]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[3,5,4,6,2,1]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[3,5,6,2,4,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[3,5,6,4,1,2]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>1
[3,5,6,4,2,1]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>1
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>1
[3,6,1,2,5,4]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[3,6,1,4,5,2]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[3,6,1,5,2,4]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[3,6,1,5,4,2]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[3,6,2,1,4,5]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[3,6,2,1,5,4]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[3,6,2,4,5,1]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>1
[3,6,2,5,1,4]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[3,6,2,5,4,1]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[3,6,4,1,5,2]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[3,6,4,2,1,5]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[3,6,4,2,5,1]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[3,6,4,5,2,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>2
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[3,6,5,2,1,4]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[3,6,5,2,4,1]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>2
[3,6,5,4,1,2]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[3,6,5,4,2,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[4,1,2,3,5,6]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>1
[4,1,2,3,6,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[4,1,2,5,3,6]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[4,1,2,5,6,3]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[4,1,2,6,3,5]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[4,1,2,6,5,3]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[4,1,3,2,5,6]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>2
[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[4,1,3,5,2,6]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>3
[4,1,3,5,6,2]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>2
[4,1,3,6,2,5]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>4
[4,1,3,6,5,2]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[4,1,5,2,3,6]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[4,1,5,2,6,3]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[4,1,5,3,6,2]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[4,1,5,6,2,3]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[4,1,5,6,3,2]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[4,1,6,2,3,5]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[4,1,6,2,5,3]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[4,1,6,3,2,5]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[4,1,6,3,5,2]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[4,1,6,5,2,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,1,6,5,3,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,2,1,3,5,6]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>2
[4,2,1,3,6,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[4,2,1,5,3,6]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[4,2,1,5,6,3]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[4,2,1,6,3,5]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[4,2,1,6,5,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,2,3,1,5,6]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[4,2,3,1,6,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,2,3,5,1,6]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[4,2,3,5,6,1]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>1
[4,2,3,6,1,5]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[4,2,3,6,5,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[4,2,5,1,3,6]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>4
[4,2,5,1,6,3]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[4,2,5,3,1,6]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[4,2,5,3,6,1]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[4,2,5,6,1,3]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>2
[4,2,5,6,3,1]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[4,2,6,1,3,5]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>3
[4,2,6,1,5,3]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[4,2,6,3,1,5]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[4,2,6,3,5,1]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[4,2,6,5,1,3]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[4,2,6,5,3,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[4,3,1,2,5,6]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[4,3,1,2,6,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[4,3,1,5,2,6]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[4,3,1,5,6,2]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[4,3,1,6,2,5]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[4,3,1,6,5,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,3,2,1,5,6]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>3
[4,3,2,1,6,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,3,2,5,1,6]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>6
[4,3,2,5,6,1]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>2
[4,3,2,6,1,5]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>5
[4,3,2,6,5,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[4,3,5,1,2,6]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[4,3,5,1,6,2]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[4,3,5,2,1,6]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>5
[4,3,5,2,6,1]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>4
[4,3,5,6,1,2]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>1
[4,3,5,6,2,1]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>1
[4,3,6,1,2,5]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[4,3,6,1,5,2]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[4,3,6,2,1,5]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>4
[4,3,6,2,5,1]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>3
[4,3,6,5,1,2]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[4,3,6,5,2,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[4,5,1,2,3,6]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[4,5,1,2,6,3]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[4,5,1,3,2,6]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[4,5,1,3,6,2]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[4,5,1,6,2,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,5,1,6,3,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,5,2,1,3,6]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[4,5,2,1,6,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,5,2,3,1,6]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,5,2,3,6,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[4,5,2,6,1,3]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[4,5,2,6,3,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[4,5,3,1,2,6]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[4,5,3,1,6,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,5,3,2,1,6]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[4,5,3,2,6,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[4,5,3,6,1,2]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[4,5,3,6,2,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[4,5,6,2,1,3]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[4,5,6,2,3,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[4,5,6,3,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[4,5,6,3,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[4,6,1,2,5,3]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>2
[4,6,1,3,5,2]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[4,6,1,5,2,3]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[4,6,1,5,3,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[4,6,2,1,3,5]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[4,6,2,1,5,3]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[4,6,2,3,1,5]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[4,6,2,3,5,1]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[4,6,2,5,1,3]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>2
[4,6,2,5,3,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[4,6,3,1,2,5]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[4,6,3,1,5,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[4,6,3,2,1,5]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[4,6,3,2,5,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[4,6,3,5,1,2]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[4,6,3,5,2,1]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>2
[4,6,5,2,1,3]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>2
[4,6,5,2,3,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[4,6,5,3,1,2]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[4,6,5,3,2,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[5,1,2,3,4,6]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[5,1,2,3,6,4]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[5,1,2,4,3,6]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>2
[5,1,2,4,6,3]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[5,1,2,6,3,4]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,1,2,6,4,3]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,1,3,2,4,6]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>2
[5,1,3,2,6,4]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[5,1,3,4,2,6]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>2
[5,1,3,4,6,2]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>2
[5,1,3,6,2,4]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[5,1,3,6,4,2]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[5,1,4,2,3,6]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[5,1,4,2,6,3]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[5,1,4,3,2,6]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[5,1,4,3,6,2]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[5,1,4,6,2,3]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[5,1,4,6,3,2]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[5,1,6,2,3,4]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,1,6,2,4,3]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[5,1,6,3,2,4]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[5,1,6,3,4,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,1,6,4,2,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,1,6,4,3,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,2,1,3,4,6]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>2
[5,2,1,3,6,4]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[5,2,1,4,3,6]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[5,2,1,4,6,3]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[5,2,1,6,3,4]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,2,1,6,4,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,2,3,1,4,6]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[5,2,3,1,6,4]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,2,3,4,1,6]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,2,3,4,6,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[5,2,3,6,1,4]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[5,2,3,6,4,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[5,2,4,1,3,6]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[5,2,4,1,6,3]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[5,2,4,3,1,6]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[5,2,4,3,6,1]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>2
[5,2,4,6,1,3]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>2
[5,2,4,6,3,1]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[5,2,6,1,3,4]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>2
[5,2,6,1,4,3]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[5,2,6,3,1,4]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[5,2,6,3,4,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,2,6,4,1,3]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[5,2,6,4,3,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,3,1,2,4,6]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[5,3,1,2,6,4]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,3,1,4,2,6]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[5,3,1,4,6,2]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[5,3,1,6,2,4]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[5,3,1,6,4,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,3,2,1,4,6]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>3
[5,3,2,1,6,4]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,3,2,4,1,6]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>5
[5,3,2,4,6,1]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>2
[5,3,2,6,1,4]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>4
[5,3,2,6,4,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,3,4,1,2,6]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,3,4,1,6,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,3,4,2,1,6]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,3,4,2,6,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,3,4,6,1,2]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[5,3,4,6,2,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[5,3,6,1,2,4]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>2
[5,3,6,1,4,2]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[5,3,6,2,1,4]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>3
[5,3,6,2,4,1]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>2
[5,3,6,4,1,2]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[5,3,6,4,2,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[5,4,1,2,3,6]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[5,4,1,2,6,3]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,4,1,3,2,6]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[5,4,1,3,6,2]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[5,4,1,6,2,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,4,1,6,3,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,4,2,1,3,6]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>3
[5,4,2,1,6,3]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,4,2,3,1,6]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,4,2,3,6,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[5,4,2,6,1,3]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>3
[5,4,2,6,3,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,4,3,1,2,6]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,4,3,1,6,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,4,3,2,1,6]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>4
[5,4,3,2,6,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>3
[5,4,3,6,1,2]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[5,4,3,6,2,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>2
[5,4,6,1,2,3]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[5,4,6,1,3,2]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>2
[5,4,6,2,1,3]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>2
[5,4,6,2,3,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[5,4,6,3,1,2]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[5,4,6,3,2,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>1
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>1
[5,6,1,4,2,3]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[5,6,1,4,3,2]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[5,6,2,1,3,4]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>1
[5,6,2,1,4,3]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[5,6,2,3,1,4]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[5,6,2,3,4,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[5,6,2,4,1,3]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[5,6,2,4,3,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[5,6,3,1,2,4]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[5,6,3,1,4,2]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[5,6,3,2,1,4]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[5,6,3,2,4,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[5,6,3,4,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[5,6,3,4,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[5,6,4,1,2,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[5,6,4,1,3,2]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[5,6,4,2,1,3]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[5,6,4,2,3,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[5,6,4,3,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[5,6,4,3,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,1,2,3,5,4]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[6,1,2,4,3,5]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[6,1,2,4,5,3]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>1
[6,1,2,5,3,4]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,1,2,5,4,3]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,1,3,2,4,5]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[6,1,3,2,5,4]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>2
[6,1,3,4,2,5]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>1
[6,1,3,4,5,2]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>1
[6,1,3,5,2,4]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[6,1,3,5,4,2]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[6,1,4,2,3,5]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,1,4,2,5,3]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[6,1,4,3,2,5]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[6,1,4,3,5,2]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,1,4,5,2,3]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[6,1,4,5,3,2]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[6,1,5,2,3,4]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,1,5,2,4,3]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[6,1,5,3,2,4]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[6,1,5,3,4,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,1,5,4,2,3]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,1,5,4,3,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,2,1,3,4,5]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>1
[6,2,1,3,5,4]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[6,2,1,4,3,5]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,2,1,4,5,3]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[6,2,1,5,3,4]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,2,1,5,4,3]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,2,3,1,4,5]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[6,2,3,1,5,4]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,2,3,4,1,5]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,2,3,4,5,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,2,3,5,1,4]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,2,3,5,4,1]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[6,2,4,1,3,5]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[6,2,4,1,5,3]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[6,2,4,3,1,5]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[6,2,4,3,5,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[6,2,4,5,1,3]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[6,2,4,5,3,1]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>1
[6,2,5,1,3,4]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>1
[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[6,2,5,3,1,4]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[6,2,5,3,4,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,2,5,4,1,3]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>2
[6,2,5,4,3,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,3,1,2,4,5]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>1
[6,3,1,2,5,4]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,3,1,4,2,5]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[6,3,1,4,5,2]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[6,3,1,5,2,4]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[6,3,1,5,4,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,3,2,1,4,5]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>2
[6,3,2,1,5,4]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,3,2,4,1,5]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>4
[6,3,2,4,5,1]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>1
[6,3,2,5,1,4]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>3
[6,3,2,5,4,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,3,4,1,2,5]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,3,4,1,5,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,3,4,2,1,5]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,3,4,2,5,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,3,4,5,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,3,4,5,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,3,5,1,2,4]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[6,3,5,1,4,2]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,3,5,2,1,4]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,3,5,2,4,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[6,3,5,4,1,2]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[6,3,5,4,2,1]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[6,4,1,2,3,5]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[6,4,1,2,5,3]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,4,1,3,2,5]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>2
[6,4,1,3,5,2]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[6,4,1,5,2,3]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,4,1,5,3,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,4,2,1,3,5]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>2
[6,4,2,1,5,3]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,4,2,3,1,5]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,4,2,3,5,1]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[6,4,2,5,1,3]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>2
[6,4,2,5,3,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,4,3,1,2,5]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,4,3,1,5,2]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,4,3,2,1,5]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>3
[6,4,3,2,5,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>2
[6,4,3,5,1,2]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[6,4,3,5,2,1]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>1
[6,4,5,1,2,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,4,5,1,3,2]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[6,4,5,2,1,3]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[6,4,5,2,3,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,4,5,3,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,4,5,3,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,5,1,2,3,4]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,5,1,2,4,3]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[6,5,1,3,2,4]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[6,5,1,3,4,2]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>1
[6,5,1,4,2,3]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,5,1,4,3,2]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,5,2,1,3,4]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>1
[6,5,2,1,4,3]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,5,2,3,1,4]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,5,2,3,4,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,5,2,4,1,3]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[6,5,2,4,3,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[6,5,3,1,2,4]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[6,5,3,1,4,2]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,5,3,2,1,4]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>2
[6,5,3,2,4,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>1
[6,5,3,4,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,5,3,4,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,5,4,1,2,3]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,5,4,1,3,2]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[6,5,4,2,1,3]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>1
[6,5,4,2,3,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,5,4,3,1,2]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
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Description
The number of occurrences of the pattern 31-2.
See Permutations/#Pattern-avoiding_permutations for the definition of the pattern $31\!\!-\!\!2$.
See Permutations/#Pattern-avoiding_permutations for the definition of the pattern $31\!\!-\!\!2$.
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
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