Identifier
-
Mp00069:
Permutations
—complement⟶
Permutations
St000279: Permutations ⟶ ℤ
Values
=>
[1,2]=>[2,1]=>0
[2,1]=>[1,2]=>2
[1,2,3]=>[3,2,1]=>0
[1,3,2]=>[3,1,2]=>0
[2,1,3]=>[2,3,1]=>0
[2,3,1]=>[2,1,3]=>0
[3,1,2]=>[1,3,2]=>2
[3,2,1]=>[1,2,3]=>4
[1,2,3,4]=>[4,3,2,1]=>0
[1,2,4,3]=>[4,3,1,2]=>0
[1,3,2,4]=>[4,2,3,1]=>0
[1,3,4,2]=>[4,2,1,3]=>0
[1,4,2,3]=>[4,1,3,2]=>0
[1,4,3,2]=>[4,1,2,3]=>0
[2,1,3,4]=>[3,4,2,1]=>0
[2,1,4,3]=>[3,4,1,2]=>0
[2,3,1,4]=>[3,2,4,1]=>0
[2,3,4,1]=>[3,2,1,4]=>0
[2,4,1,3]=>[3,1,4,2]=>0
[2,4,3,1]=>[3,1,2,4]=>0
[3,1,2,4]=>[2,4,3,1]=>0
[3,1,4,2]=>[2,4,1,3]=>0
[3,2,1,4]=>[2,3,4,1]=>0
[3,2,4,1]=>[2,3,1,4]=>0
[3,4,1,2]=>[2,1,4,3]=>0
[3,4,2,1]=>[2,1,3,4]=>0
[4,1,2,3]=>[1,4,3,2]=>2
[4,1,3,2]=>[1,4,2,3]=>4
[4,2,1,3]=>[1,3,4,2]=>2
[4,2,3,1]=>[1,3,2,4]=>4
[4,3,1,2]=>[1,2,4,3]=>4
[4,3,2,1]=>[1,2,3,4]=>8
[1,2,3,4,5]=>[5,4,3,2,1]=>0
[1,2,3,5,4]=>[5,4,3,1,2]=>0
[1,2,4,3,5]=>[5,4,2,3,1]=>0
[1,2,4,5,3]=>[5,4,2,1,3]=>0
[1,2,5,3,4]=>[5,4,1,3,2]=>0
[1,2,5,4,3]=>[5,4,1,2,3]=>0
[1,3,2,4,5]=>[5,3,4,2,1]=>0
[1,3,2,5,4]=>[5,3,4,1,2]=>0
[1,3,4,2,5]=>[5,3,2,4,1]=>0
[1,3,4,5,2]=>[5,3,2,1,4]=>0
[1,3,5,2,4]=>[5,3,1,4,2]=>0
[1,3,5,4,2]=>[5,3,1,2,4]=>0
[1,4,2,3,5]=>[5,2,4,3,1]=>0
[1,4,2,5,3]=>[5,2,4,1,3]=>0
[1,4,3,2,5]=>[5,2,3,4,1]=>0
[1,4,3,5,2]=>[5,2,3,1,4]=>0
[1,4,5,2,3]=>[5,2,1,4,3]=>0
[1,4,5,3,2]=>[5,2,1,3,4]=>0
[1,5,2,3,4]=>[5,1,4,3,2]=>0
[1,5,2,4,3]=>[5,1,4,2,3]=>0
[1,5,3,2,4]=>[5,1,3,4,2]=>0
[1,5,3,4,2]=>[5,1,3,2,4]=>0
[1,5,4,2,3]=>[5,1,2,4,3]=>0
[1,5,4,3,2]=>[5,1,2,3,4]=>0
[2,1,3,4,5]=>[4,5,3,2,1]=>0
[2,1,3,5,4]=>[4,5,3,1,2]=>0
[2,1,4,3,5]=>[4,5,2,3,1]=>0
[2,1,4,5,3]=>[4,5,2,1,3]=>0
[2,1,5,3,4]=>[4,5,1,3,2]=>0
[2,1,5,4,3]=>[4,5,1,2,3]=>0
[2,3,1,4,5]=>[4,3,5,2,1]=>0
[2,3,1,5,4]=>[4,3,5,1,2]=>0
[2,3,4,1,5]=>[4,3,2,5,1]=>0
[2,3,4,5,1]=>[4,3,2,1,5]=>0
[2,3,5,1,4]=>[4,3,1,5,2]=>0
[2,3,5,4,1]=>[4,3,1,2,5]=>0
[2,4,1,3,5]=>[4,2,5,3,1]=>0
[2,4,1,5,3]=>[4,2,5,1,3]=>0
[2,4,3,1,5]=>[4,2,3,5,1]=>0
[2,4,3,5,1]=>[4,2,3,1,5]=>0
[2,4,5,1,3]=>[4,2,1,5,3]=>0
[2,4,5,3,1]=>[4,2,1,3,5]=>0
[2,5,1,3,4]=>[4,1,5,3,2]=>0
[2,5,1,4,3]=>[4,1,5,2,3]=>0
[2,5,3,1,4]=>[4,1,3,5,2]=>0
[2,5,3,4,1]=>[4,1,3,2,5]=>0
[2,5,4,1,3]=>[4,1,2,5,3]=>0
[2,5,4,3,1]=>[4,1,2,3,5]=>0
[3,1,2,4,5]=>[3,5,4,2,1]=>0
[3,1,2,5,4]=>[3,5,4,1,2]=>0
[3,1,4,2,5]=>[3,5,2,4,1]=>0
[3,1,4,5,2]=>[3,5,2,1,4]=>0
[3,1,5,2,4]=>[3,5,1,4,2]=>0
[3,1,5,4,2]=>[3,5,1,2,4]=>0
[3,2,1,4,5]=>[3,4,5,2,1]=>0
[3,2,1,5,4]=>[3,4,5,1,2]=>0
[3,2,4,1,5]=>[3,4,2,5,1]=>0
[3,2,4,5,1]=>[3,4,2,1,5]=>0
[3,2,5,1,4]=>[3,4,1,5,2]=>0
[3,2,5,4,1]=>[3,4,1,2,5]=>0
[3,4,1,2,5]=>[3,2,5,4,1]=>0
[3,4,1,5,2]=>[3,2,5,1,4]=>0
[3,4,2,1,5]=>[3,2,4,5,1]=>0
[3,4,2,5,1]=>[3,2,4,1,5]=>0
[3,4,5,1,2]=>[3,2,1,5,4]=>0
[3,4,5,2,1]=>[3,2,1,4,5]=>0
[3,5,1,2,4]=>[3,1,5,4,2]=>0
[3,5,1,4,2]=>[3,1,5,2,4]=>0
[3,5,2,1,4]=>[3,1,4,5,2]=>0
[3,5,2,4,1]=>[3,1,4,2,5]=>0
[3,5,4,1,2]=>[3,1,2,5,4]=>0
[3,5,4,2,1]=>[3,1,2,4,5]=>0
[4,1,2,3,5]=>[2,5,4,3,1]=>0
[4,1,2,5,3]=>[2,5,4,1,3]=>0
[4,1,3,2,5]=>[2,5,3,4,1]=>0
[4,1,3,5,2]=>[2,5,3,1,4]=>0
[4,1,5,2,3]=>[2,5,1,4,3]=>0
[4,1,5,3,2]=>[2,5,1,3,4]=>0
[4,2,1,3,5]=>[2,4,5,3,1]=>0
[4,2,1,5,3]=>[2,4,5,1,3]=>0
[4,2,3,1,5]=>[2,4,3,5,1]=>0
[4,2,3,5,1]=>[2,4,3,1,5]=>0
[4,2,5,1,3]=>[2,4,1,5,3]=>0
[4,2,5,3,1]=>[2,4,1,3,5]=>0
[4,3,1,2,5]=>[2,3,5,4,1]=>0
[4,3,1,5,2]=>[2,3,5,1,4]=>0
[4,3,2,1,5]=>[2,3,4,5,1]=>0
[4,3,2,5,1]=>[2,3,4,1,5]=>0
[4,3,5,1,2]=>[2,3,1,5,4]=>0
[4,3,5,2,1]=>[2,3,1,4,5]=>0
[4,5,1,2,3]=>[2,1,5,4,3]=>0
[4,5,1,3,2]=>[2,1,5,3,4]=>0
[4,5,2,1,3]=>[2,1,4,5,3]=>0
[4,5,2,3,1]=>[2,1,4,3,5]=>0
[4,5,3,1,2]=>[2,1,3,5,4]=>0
[4,5,3,2,1]=>[2,1,3,4,5]=>0
[5,1,2,3,4]=>[1,5,4,3,2]=>2
[5,1,2,4,3]=>[1,5,4,2,3]=>4
[5,1,3,2,4]=>[1,5,3,4,2]=>2
[5,1,3,4,2]=>[1,5,3,2,4]=>4
[5,1,4,2,3]=>[1,5,2,4,3]=>4
[5,1,4,3,2]=>[1,5,2,3,4]=>8
[5,2,1,3,4]=>[1,4,5,3,2]=>2
[5,2,1,4,3]=>[1,4,5,2,3]=>4
[5,2,3,1,4]=>[1,4,3,5,2]=>2
[5,2,3,4,1]=>[1,4,3,2,5]=>4
[5,2,4,1,3]=>[1,4,2,5,3]=>4
[5,2,4,3,1]=>[1,4,2,3,5]=>8
[5,3,1,2,4]=>[1,3,5,4,2]=>2
[5,3,1,4,2]=>[1,3,5,2,4]=>4
[5,3,2,1,4]=>[1,3,4,5,2]=>2
[5,3,2,4,1]=>[1,3,4,2,5]=>4
[5,3,4,1,2]=>[1,3,2,5,4]=>4
[5,3,4,2,1]=>[1,3,2,4,5]=>8
[5,4,1,2,3]=>[1,2,5,4,3]=>4
[5,4,1,3,2]=>[1,2,5,3,4]=>8
[5,4,2,1,3]=>[1,2,4,5,3]=>4
[5,4,2,3,1]=>[1,2,4,3,5]=>8
[5,4,3,1,2]=>[1,2,3,5,4]=>8
[5,4,3,2,1]=>[1,2,3,4,5]=>16
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>0
[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>0
[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>0
[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>0
[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>0
[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>0
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>0
[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>0
[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>0
[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>0
[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>0
[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>0
[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>0
[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>0
[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>0
[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>0
[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>0
[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>0
[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>0
[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>0
[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>0
[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>0
[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>0
[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>0
[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>0
[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>0
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>0
[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>0
[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>0
[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>0
[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>0
[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>0
[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>0
[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>0
[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>0
[1,3,4,6,5,2]=>[6,4,3,1,2,5]=>0
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>0
[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>0
[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>0
[1,3,5,4,6,2]=>[6,4,2,3,1,5]=>0
[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>0
[1,3,5,6,4,2]=>[6,4,2,1,3,5]=>0
[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>0
[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>0
[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>0
[1,3,6,4,5,2]=>[6,4,1,3,2,5]=>0
[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>0
[1,3,6,5,4,2]=>[6,4,1,2,3,5]=>0
[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>0
[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>0
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>0
[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>0
[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>0
[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>0
[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>0
[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>0
[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>0
[1,4,3,5,6,2]=>[6,3,4,2,1,5]=>0
[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>0
[1,4,3,6,5,2]=>[6,3,4,1,2,5]=>0
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>0
[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>0
[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>0
[1,4,5,3,6,2]=>[6,3,2,4,1,5]=>0
[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>0
[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>0
[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>0
[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>0
[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>0
[1,4,6,3,5,2]=>[6,3,1,4,2,5]=>0
[1,4,6,5,2,3]=>[6,3,1,2,5,4]=>0
[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>0
[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>0
[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>0
[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>0
[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>0
[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>0
[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>0
[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>0
[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>0
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>0
[1,5,3,4,6,2]=>[6,2,4,3,1,5]=>0
[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>0
[1,5,3,6,4,2]=>[6,2,4,1,3,5]=>0
[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>0
[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>0
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>0
[1,5,4,3,6,2]=>[6,2,3,4,1,5]=>0
[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>0
[1,5,4,6,3,2]=>[6,2,3,1,4,5]=>0
[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>0
[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>0
[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>0
[1,5,6,3,4,2]=>[6,2,1,4,3,5]=>0
[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>0
[1,5,6,4,3,2]=>[6,2,1,3,4,5]=>0
[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>0
[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>0
[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>0
[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>0
[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>0
[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>0
[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>0
[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>0
[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>0
[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>0
[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>0
[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>0
[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>0
[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>0
[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>0
[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>0
[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>0
[1,6,4,5,3,2]=>[6,1,3,2,4,5]=>0
[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>0
[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>0
[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>0
[1,6,5,3,4,2]=>[6,1,2,4,3,5]=>0
[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>0
[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>0
[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>0
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>0
[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>0
[2,1,3,5,6,4]=>[5,6,4,2,1,3]=>0
[2,1,3,6,4,5]=>[5,6,4,1,3,2]=>0
[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>0
[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>0
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>0
[2,1,4,5,3,6]=>[5,6,3,2,4,1]=>0
[2,1,4,5,6,3]=>[5,6,3,2,1,4]=>0
[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>0
[2,1,4,6,5,3]=>[5,6,3,1,2,4]=>0
[2,1,5,3,4,6]=>[5,6,2,4,3,1]=>0
[2,1,5,3,6,4]=>[5,6,2,4,1,3]=>0
[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>0
[2,1,5,4,6,3]=>[5,6,2,3,1,4]=>0
[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>0
[2,1,5,6,4,3]=>[5,6,2,1,3,4]=>0
[2,1,6,3,4,5]=>[5,6,1,4,3,2]=>0
[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>0
[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>0
[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>0
[2,1,6,5,3,4]=>[5,6,1,2,4,3]=>0
[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>0
[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>0
[2,3,1,4,6,5]=>[5,4,6,3,1,2]=>0
[2,3,1,5,4,6]=>[5,4,6,2,3,1]=>0
[2,3,1,5,6,4]=>[5,4,6,2,1,3]=>0
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>0
[2,3,1,6,5,4]=>[5,4,6,1,2,3]=>0
[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>0
[2,3,4,1,6,5]=>[5,4,3,6,1,2]=>0
[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>0
[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>0
[2,3,4,6,1,5]=>[5,4,3,1,6,2]=>0
[2,3,4,6,5,1]=>[5,4,3,1,2,6]=>0
[2,3,5,1,4,6]=>[5,4,2,6,3,1]=>0
[2,3,5,1,6,4]=>[5,4,2,6,1,3]=>0
[2,3,5,4,1,6]=>[5,4,2,3,6,1]=>0
[2,3,5,4,6,1]=>[5,4,2,3,1,6]=>0
[2,3,5,6,1,4]=>[5,4,2,1,6,3]=>0
[2,3,5,6,4,1]=>[5,4,2,1,3,6]=>0
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>0
[2,3,6,1,5,4]=>[5,4,1,6,2,3]=>0
[2,3,6,4,1,5]=>[5,4,1,3,6,2]=>0
[2,3,6,4,5,1]=>[5,4,1,3,2,6]=>0
[2,3,6,5,1,4]=>[5,4,1,2,6,3]=>0
[2,3,6,5,4,1]=>[5,4,1,2,3,6]=>0
[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>0
[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>0
[2,4,1,5,3,6]=>[5,3,6,2,4,1]=>0
[2,4,1,5,6,3]=>[5,3,6,2,1,4]=>0
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>0
[2,4,1,6,5,3]=>[5,3,6,1,2,4]=>0
[2,4,3,1,5,6]=>[5,3,4,6,2,1]=>0
[2,4,3,1,6,5]=>[5,3,4,6,1,2]=>0
[2,4,3,5,1,6]=>[5,3,4,2,6,1]=>0
[2,4,3,5,6,1]=>[5,3,4,2,1,6]=>0
[2,4,3,6,1,5]=>[5,3,4,1,6,2]=>0
[2,4,3,6,5,1]=>[5,3,4,1,2,6]=>0
[2,4,5,1,3,6]=>[5,3,2,6,4,1]=>0
[2,4,5,1,6,3]=>[5,3,2,6,1,4]=>0
[2,4,5,3,1,6]=>[5,3,2,4,6,1]=>0
[2,4,5,3,6,1]=>[5,3,2,4,1,6]=>0
[2,4,5,6,1,3]=>[5,3,2,1,6,4]=>0
[2,4,5,6,3,1]=>[5,3,2,1,4,6]=>0
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>0
[2,4,6,1,5,3]=>[5,3,1,6,2,4]=>0
[2,4,6,3,1,5]=>[5,3,1,4,6,2]=>0
[2,4,6,3,5,1]=>[5,3,1,4,2,6]=>0
[2,4,6,5,1,3]=>[5,3,1,2,6,4]=>0
[2,4,6,5,3,1]=>[5,3,1,2,4,6]=>0
[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>0
[2,5,1,3,6,4]=>[5,2,6,4,1,3]=>0
[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>0
[2,5,1,4,6,3]=>[5,2,6,3,1,4]=>0
[2,5,1,6,3,4]=>[5,2,6,1,4,3]=>0
[2,5,1,6,4,3]=>[5,2,6,1,3,4]=>0
[2,5,3,1,4,6]=>[5,2,4,6,3,1]=>0
[2,5,3,1,6,4]=>[5,2,4,6,1,3]=>0
[2,5,3,4,1,6]=>[5,2,4,3,6,1]=>0
[2,5,3,4,6,1]=>[5,2,4,3,1,6]=>0
[2,5,3,6,1,4]=>[5,2,4,1,6,3]=>0
[2,5,3,6,4,1]=>[5,2,4,1,3,6]=>0
[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>0
[2,5,4,1,6,3]=>[5,2,3,6,1,4]=>0
[2,5,4,3,1,6]=>[5,2,3,4,6,1]=>0
[2,5,4,3,6,1]=>[5,2,3,4,1,6]=>0
[2,5,4,6,1,3]=>[5,2,3,1,6,4]=>0
[2,5,4,6,3,1]=>[5,2,3,1,4,6]=>0
[2,5,6,1,3,4]=>[5,2,1,6,4,3]=>0
[2,5,6,1,4,3]=>[5,2,1,6,3,4]=>0
[2,5,6,3,1,4]=>[5,2,1,4,6,3]=>0
[2,5,6,3,4,1]=>[5,2,1,4,3,6]=>0
[2,5,6,4,1,3]=>[5,2,1,3,6,4]=>0
[2,5,6,4,3,1]=>[5,2,1,3,4,6]=>0
[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>0
[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>0
[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>0
[2,6,1,4,5,3]=>[5,1,6,3,2,4]=>0
[2,6,1,5,3,4]=>[5,1,6,2,4,3]=>0
[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>0
[2,6,3,1,4,5]=>[5,1,4,6,3,2]=>0
[2,6,3,1,5,4]=>[5,1,4,6,2,3]=>0
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>0
[2,6,3,4,5,1]=>[5,1,4,3,2,6]=>0
[2,6,3,5,1,4]=>[5,1,4,2,6,3]=>0
[2,6,3,5,4,1]=>[5,1,4,2,3,6]=>0
[2,6,4,1,3,5]=>[5,1,3,6,4,2]=>0
[2,6,4,1,5,3]=>[5,1,3,6,2,4]=>0
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>0
[2,6,4,3,5,1]=>[5,1,3,4,2,6]=>0
[2,6,4,5,1,3]=>[5,1,3,2,6,4]=>0
[2,6,4,5,3,1]=>[5,1,3,2,4,6]=>0
[2,6,5,1,3,4]=>[5,1,2,6,4,3]=>0
[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>0
[2,6,5,3,1,4]=>[5,1,2,4,6,3]=>0
[2,6,5,3,4,1]=>[5,1,2,4,3,6]=>0
[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>0
[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>0
[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>0
[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>0
[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>0
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>0
[3,1,2,6,4,5]=>[4,6,5,1,3,2]=>0
[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>0
[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>0
[3,1,4,2,6,5]=>[4,6,3,5,1,2]=>0
[3,1,4,5,2,6]=>[4,6,3,2,5,1]=>0
[3,1,4,5,6,2]=>[4,6,3,2,1,5]=>0
[3,1,4,6,2,5]=>[4,6,3,1,5,2]=>0
[3,1,4,6,5,2]=>[4,6,3,1,2,5]=>0
[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>0
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>0
[3,1,5,4,2,6]=>[4,6,2,3,5,1]=>0
[3,1,5,4,6,2]=>[4,6,2,3,1,5]=>0
[3,1,5,6,2,4]=>[4,6,2,1,5,3]=>0
[3,1,5,6,4,2]=>[4,6,2,1,3,5]=>0
[3,1,6,2,4,5]=>[4,6,1,5,3,2]=>0
[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>0
[3,1,6,4,2,5]=>[4,6,1,3,5,2]=>0
[3,1,6,4,5,2]=>[4,6,1,3,2,5]=>0
[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>0
[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>0
[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>0
[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>0
[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>0
[3,2,1,5,6,4]=>[4,5,6,2,1,3]=>0
[3,2,1,6,4,5]=>[4,5,6,1,3,2]=>0
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>0
[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>0
[3,2,4,1,6,5]=>[4,5,3,6,1,2]=>0
[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>0
[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>0
[3,2,4,6,1,5]=>[4,5,3,1,6,2]=>0
[3,2,4,6,5,1]=>[4,5,3,1,2,6]=>0
[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>0
[3,2,5,1,6,4]=>[4,5,2,6,1,3]=>0
[3,2,5,4,1,6]=>[4,5,2,3,6,1]=>0
[3,2,5,4,6,1]=>[4,5,2,3,1,6]=>0
[3,2,5,6,1,4]=>[4,5,2,1,6,3]=>0
[3,2,5,6,4,1]=>[4,5,2,1,3,6]=>0
[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>0
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>0
[3,2,6,4,1,5]=>[4,5,1,3,6,2]=>0
[3,2,6,4,5,1]=>[4,5,1,3,2,6]=>0
[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>0
[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>0
[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>0
[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>0
[3,4,1,5,2,6]=>[4,3,6,2,5,1]=>0
[3,4,1,5,6,2]=>[4,3,6,2,1,5]=>0
[3,4,1,6,2,5]=>[4,3,6,1,5,2]=>0
[3,4,1,6,5,2]=>[4,3,6,1,2,5]=>0
[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>0
[3,4,2,1,6,5]=>[4,3,5,6,1,2]=>0
[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>0
[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>0
[3,4,2,6,1,5]=>[4,3,5,1,6,2]=>0
[3,4,2,6,5,1]=>[4,3,5,1,2,6]=>0
[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>0
[3,4,5,1,6,2]=>[4,3,2,6,1,5]=>0
[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>0
[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>0
[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>0
[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>0
[3,4,6,1,2,5]=>[4,3,1,6,5,2]=>0
[3,4,6,1,5,2]=>[4,3,1,6,2,5]=>0
[3,4,6,2,1,5]=>[4,3,1,5,6,2]=>0
[3,4,6,2,5,1]=>[4,3,1,5,2,6]=>0
[3,4,6,5,1,2]=>[4,3,1,2,6,5]=>0
[3,4,6,5,2,1]=>[4,3,1,2,5,6]=>0
[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>0
[3,5,1,2,6,4]=>[4,2,6,5,1,3]=>0
[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>0
[3,5,1,4,6,2]=>[4,2,6,3,1,5]=>0
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>0
[3,5,1,6,4,2]=>[4,2,6,1,3,5]=>0
[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>0
[3,5,2,1,6,4]=>[4,2,5,6,1,3]=>0
[3,5,2,4,1,6]=>[4,2,5,3,6,1]=>0
[3,5,2,4,6,1]=>[4,2,5,3,1,6]=>0
[3,5,2,6,1,4]=>[4,2,5,1,6,3]=>0
[3,5,2,6,4,1]=>[4,2,5,1,3,6]=>0
[3,5,4,1,2,6]=>[4,2,3,6,5,1]=>0
[3,5,4,1,6,2]=>[4,2,3,6,1,5]=>0
[3,5,4,2,1,6]=>[4,2,3,5,6,1]=>0
[3,5,4,2,6,1]=>[4,2,3,5,1,6]=>0
[3,5,4,6,1,2]=>[4,2,3,1,6,5]=>0
[3,5,4,6,2,1]=>[4,2,3,1,5,6]=>0
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>0
[3,5,6,1,4,2]=>[4,2,1,6,3,5]=>0
[3,5,6,2,1,4]=>[4,2,1,5,6,3]=>0
[3,5,6,2,4,1]=>[4,2,1,5,3,6]=>0
[3,5,6,4,1,2]=>[4,2,1,3,6,5]=>0
[3,5,6,4,2,1]=>[4,2,1,3,5,6]=>0
[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>0
[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>0
[3,6,1,4,2,5]=>[4,1,6,3,5,2]=>0
[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>0
[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>0
[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>0
[3,6,2,1,4,5]=>[4,1,5,6,3,2]=>0
[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>0
[3,6,2,4,1,5]=>[4,1,5,3,6,2]=>0
[3,6,2,4,5,1]=>[4,1,5,3,2,6]=>0
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>0
[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>0
[3,6,4,1,2,5]=>[4,1,3,6,5,2]=>0
[3,6,4,1,5,2]=>[4,1,3,6,2,5]=>0
[3,6,4,2,1,5]=>[4,1,3,5,6,2]=>0
[3,6,4,2,5,1]=>[4,1,3,5,2,6]=>0
[3,6,4,5,1,2]=>[4,1,3,2,6,5]=>0
[3,6,4,5,2,1]=>[4,1,3,2,5,6]=>0
[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>0
[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>0
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>0
[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>0
[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>0
[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>0
[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>0
[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>0
[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>0
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>0
[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>0
[4,1,2,6,5,3]=>[3,6,5,1,2,4]=>0
[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>0
[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>0
[4,1,3,5,2,6]=>[3,6,4,2,5,1]=>0
[4,1,3,5,6,2]=>[3,6,4,2,1,5]=>0
[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>0
[4,1,3,6,5,2]=>[3,6,4,1,2,5]=>0
[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>0
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>0
[4,1,5,3,2,6]=>[3,6,2,4,5,1]=>0
[4,1,5,3,6,2]=>[3,6,2,4,1,5]=>0
[4,1,5,6,2,3]=>[3,6,2,1,5,4]=>0
[4,1,5,6,3,2]=>[3,6,2,1,4,5]=>0
[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>0
[4,1,6,2,5,3]=>[3,6,1,5,2,4]=>0
[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>0
[4,1,6,3,5,2]=>[3,6,1,4,2,5]=>0
[4,1,6,5,2,3]=>[3,6,1,2,5,4]=>0
[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>0
[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>0
[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>0
[4,2,1,5,3,6]=>[3,5,6,2,4,1]=>0
[4,2,1,5,6,3]=>[3,5,6,2,1,4]=>0
[4,2,1,6,3,5]=>[3,5,6,1,4,2]=>0
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>0
[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>0
[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>0
[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>0
[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>0
[4,2,3,6,1,5]=>[3,5,4,1,6,2]=>0
[4,2,3,6,5,1]=>[3,5,4,1,2,6]=>0
[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>0
[4,2,5,1,6,3]=>[3,5,2,6,1,4]=>0
[4,2,5,3,1,6]=>[3,5,2,4,6,1]=>0
[4,2,5,3,6,1]=>[3,5,2,4,1,6]=>0
[4,2,5,6,1,3]=>[3,5,2,1,6,4]=>0
[4,2,5,6,3,1]=>[3,5,2,1,4,6]=>0
[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>0
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>0
[4,2,6,3,1,5]=>[3,5,1,4,6,2]=>0
[4,2,6,3,5,1]=>[3,5,1,4,2,6]=>0
[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>0
[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>0
[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>0
[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>0
[4,3,1,5,2,6]=>[3,4,6,2,5,1]=>0
[4,3,1,5,6,2]=>[3,4,6,2,1,5]=>0
[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>0
[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>0
[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>0
[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>0
[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>0
[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>0
[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>0
[4,3,2,6,5,1]=>[3,4,5,1,2,6]=>0
[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>0
[4,3,5,1,6,2]=>[3,4,2,6,1,5]=>0
[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>0
[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>0
[4,3,5,6,1,2]=>[3,4,2,1,6,5]=>0
[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>0
[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>0
[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>0
[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>0
[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>0
[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>0
[4,3,6,5,2,1]=>[3,4,1,2,5,6]=>0
[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>0
[4,5,1,2,6,3]=>[3,2,6,5,1,4]=>0
[4,5,1,3,2,6]=>[3,2,6,4,5,1]=>0
[4,5,1,3,6,2]=>[3,2,6,4,1,5]=>0
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>0
[4,5,1,6,3,2]=>[3,2,6,1,4,5]=>0
[4,5,2,1,3,6]=>[3,2,5,6,4,1]=>0
[4,5,2,1,6,3]=>[3,2,5,6,1,4]=>0
[4,5,2,3,1,6]=>[3,2,5,4,6,1]=>0
[4,5,2,3,6,1]=>[3,2,5,4,1,6]=>0
[4,5,2,6,1,3]=>[3,2,5,1,6,4]=>0
[4,5,2,6,3,1]=>[3,2,5,1,4,6]=>0
[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>0
[4,5,3,1,6,2]=>[3,2,4,6,1,5]=>0
[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>0
[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>0
[4,5,3,6,1,2]=>[3,2,4,1,6,5]=>0
[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>0
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>0
[4,5,6,1,3,2]=>[3,2,1,6,4,5]=>0
[4,5,6,2,1,3]=>[3,2,1,5,6,4]=>0
[4,5,6,2,3,1]=>[3,2,1,5,4,6]=>0
[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>0
[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>0
[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>0
[4,6,1,2,5,3]=>[3,1,6,5,2,4]=>0
[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>0
[4,6,1,3,5,2]=>[3,1,6,4,2,5]=>0
[4,6,1,5,2,3]=>[3,1,6,2,5,4]=>0
[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>0
[4,6,2,1,3,5]=>[3,1,5,6,4,2]=>0
[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>0
[4,6,2,3,1,5]=>[3,1,5,4,6,2]=>0
[4,6,2,3,5,1]=>[3,1,5,4,2,6]=>0
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>0
[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>0
[4,6,3,1,2,5]=>[3,1,4,6,5,2]=>0
[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>0
[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>0
[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>0
[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>0
[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>0
[4,6,5,1,2,3]=>[3,1,2,6,5,4]=>0
[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>0
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>0
[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>0
[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>0
[4,6,5,3,2,1]=>[3,1,2,4,5,6]=>0
[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>0
[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>0
[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>0
[5,1,2,4,6,3]=>[2,6,5,3,1,4]=>0
[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>0
[5,1,2,6,4,3]=>[2,6,5,1,3,4]=>0
[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>0
[5,1,3,2,6,4]=>[2,6,4,5,1,3]=>0
[5,1,3,4,2,6]=>[2,6,4,3,5,1]=>0
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>0
[5,1,3,6,2,4]=>[2,6,4,1,5,3]=>0
[5,1,3,6,4,2]=>[2,6,4,1,3,5]=>0
[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>0
[5,1,4,2,6,3]=>[2,6,3,5,1,4]=>0
[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>0
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>0
[5,1,4,6,2,3]=>[2,6,3,1,5,4]=>0
[5,1,4,6,3,2]=>[2,6,3,1,4,5]=>0
[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>0
[5,1,6,2,4,3]=>[2,6,1,5,3,4]=>0
[5,1,6,3,2,4]=>[2,6,1,4,5,3]=>0
[5,1,6,3,4,2]=>[2,6,1,4,3,5]=>0
[5,1,6,4,2,3]=>[2,6,1,3,5,4]=>0
[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>0
[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>0
[5,2,1,3,6,4]=>[2,5,6,4,1,3]=>0
[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>0
[5,2,1,4,6,3]=>[2,5,6,3,1,4]=>0
[5,2,1,6,3,4]=>[2,5,6,1,4,3]=>0
[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>0
[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>0
[5,2,3,1,6,4]=>[2,5,4,6,1,3]=>0
[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>0
[5,2,3,4,6,1]=>[2,5,4,3,1,6]=>0
[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>0
[5,2,3,6,4,1]=>[2,5,4,1,3,6]=>0
[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>0
[5,2,4,1,6,3]=>[2,5,3,6,1,4]=>0
[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>0
[5,2,4,3,6,1]=>[2,5,3,4,1,6]=>0
[5,2,4,6,1,3]=>[2,5,3,1,6,4]=>0
[5,2,4,6,3,1]=>[2,5,3,1,4,6]=>0
[5,2,6,1,3,4]=>[2,5,1,6,4,3]=>0
[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>0
[5,2,6,3,1,4]=>[2,5,1,4,6,3]=>0
[5,2,6,3,4,1]=>[2,5,1,4,3,6]=>0
[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>0
[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>0
[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>0
[5,3,1,2,6,4]=>[2,4,6,5,1,3]=>0
[5,3,1,4,2,6]=>[2,4,6,3,5,1]=>0
[5,3,1,4,6,2]=>[2,4,6,3,1,5]=>0
[5,3,1,6,2,4]=>[2,4,6,1,5,3]=>0
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>0
[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>0
[5,3,2,1,6,4]=>[2,4,5,6,1,3]=>0
[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>0
[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>0
[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>0
[5,3,2,6,4,1]=>[2,4,5,1,3,6]=>0
[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>0
[5,3,4,1,6,2]=>[2,4,3,6,1,5]=>0
[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>0
[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>0
[5,3,4,6,1,2]=>[2,4,3,1,6,5]=>0
[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>0
[5,3,6,1,2,4]=>[2,4,1,6,5,3]=>0
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>0
[5,3,6,2,1,4]=>[2,4,1,5,6,3]=>0
[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>0
[5,3,6,4,1,2]=>[2,4,1,3,6,5]=>0
[5,3,6,4,2,1]=>[2,4,1,3,5,6]=>0
[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>0
[5,4,1,2,6,3]=>[2,3,6,5,1,4]=>0
[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>0
[5,4,1,3,6,2]=>[2,3,6,4,1,5]=>0
[5,4,1,6,2,3]=>[2,3,6,1,5,4]=>0
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>0
[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>0
[5,4,2,1,6,3]=>[2,3,5,6,1,4]=>0
[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>0
[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>0
[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>0
[5,4,2,6,3,1]=>[2,3,5,1,4,6]=>0
[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>0
[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>0
[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>0
[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>0
[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>0
[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>0
[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>0
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>0
[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>0
[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>0
[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>0
[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>0
[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>0
[5,6,1,2,4,3]=>[2,1,6,5,3,4]=>0
[5,6,1,3,2,4]=>[2,1,6,4,5,3]=>0
[5,6,1,3,4,2]=>[2,1,6,4,3,5]=>0
[5,6,1,4,2,3]=>[2,1,6,3,5,4]=>0
[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>0
[5,6,2,1,3,4]=>[2,1,5,6,4,3]=>0
[5,6,2,1,4,3]=>[2,1,5,6,3,4]=>0
[5,6,2,3,1,4]=>[2,1,5,4,6,3]=>0
[5,6,2,3,4,1]=>[2,1,5,4,3,6]=>0
[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>0
[5,6,2,4,3,1]=>[2,1,5,3,4,6]=>0
[5,6,3,1,2,4]=>[2,1,4,6,5,3]=>0
[5,6,3,1,4,2]=>[2,1,4,6,3,5]=>0
[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>0
[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>0
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>0
[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>0
[5,6,4,1,2,3]=>[2,1,3,6,5,4]=>0
[5,6,4,1,3,2]=>[2,1,3,6,4,5]=>0
[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>0
[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>0
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>0
[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>0
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>2
[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>4
[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>2
[6,1,2,4,5,3]=>[1,6,5,3,2,4]=>4
[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>4
[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>8
[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>2
[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>4
[6,1,3,4,2,5]=>[1,6,4,3,5,2]=>2
[6,1,3,4,5,2]=>[1,6,4,3,2,5]=>4
[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>4
[6,1,3,5,4,2]=>[1,6,4,2,3,5]=>8
[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>2
[6,1,4,2,5,3]=>[1,6,3,5,2,4]=>4
[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>2
[6,1,4,3,5,2]=>[1,6,3,4,2,5]=>4
[6,1,4,5,2,3]=>[1,6,3,2,5,4]=>4
[6,1,4,5,3,2]=>[1,6,3,2,4,5]=>8
[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>4
[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>8
[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>4
[6,1,5,3,4,2]=>[1,6,2,4,3,5]=>8
[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>8
[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>16
[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>2
[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>4
[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>2
[6,2,1,4,5,3]=>[1,5,6,3,2,4]=>4
[6,2,1,5,3,4]=>[1,5,6,2,4,3]=>4
[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>8
[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>2
[6,2,3,1,5,4]=>[1,5,4,6,2,3]=>4
[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>2
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>4
[6,2,3,5,1,4]=>[1,5,4,2,6,3]=>4
[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>8
[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>2
[6,2,4,1,5,3]=>[1,5,3,6,2,4]=>4
[6,2,4,3,1,5]=>[1,5,3,4,6,2]=>2
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>4
[6,2,4,5,1,3]=>[1,5,3,2,6,4]=>4
[6,2,4,5,3,1]=>[1,5,3,2,4,6]=>8
[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>4
[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>8
[6,2,5,3,1,4]=>[1,5,2,4,6,3]=>4
[6,2,5,3,4,1]=>[1,5,2,4,3,6]=>8
[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>8
[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>16
[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>2
[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>4
[6,3,1,4,2,5]=>[1,4,6,3,5,2]=>2
[6,3,1,4,5,2]=>[1,4,6,3,2,5]=>4
[6,3,1,5,2,4]=>[1,4,6,2,5,3]=>4
[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>8
[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>2
[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>4
[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>2
[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>4
[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>4
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>8
[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>2
[6,3,4,1,5,2]=>[1,4,3,6,2,5]=>4
[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>2
[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>4
[6,3,4,5,1,2]=>[1,4,3,2,6,5]=>4
[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>8
[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>4
[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>8
[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>4
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>8
[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>8
[6,3,5,4,2,1]=>[1,4,2,3,5,6]=>16
[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>2
[6,4,1,2,5,3]=>[1,3,6,5,2,4]=>4
[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>2
[6,4,1,3,5,2]=>[1,3,6,4,2,5]=>4
[6,4,1,5,2,3]=>[1,3,6,2,5,4]=>4
[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>8
[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>2
[6,4,2,1,5,3]=>[1,3,5,6,2,4]=>4
[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>2
[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>4
[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>4
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>8
[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>2
[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>4
[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>2
[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>4
[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>4
[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>8
[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>4
[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>8
[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>4
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>8
[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>8
[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>16
[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>4
[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>8
[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>4
[6,5,1,3,4,2]=>[1,2,6,4,3,5]=>8
[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>8
[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>16
[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>4
[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>8
[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>4
[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>8
[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>8
[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>16
[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>4
[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>8
[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>4
[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>8
[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>8
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>16
[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>8
[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>16
[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>8
[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>16
[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>16
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>32
[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>2
[7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>4
[7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>4
[7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>8
[7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>2
[7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>4
[7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>2
[7,4,2,5,3,6,1]=>[1,4,6,3,5,2,7]=>4
[7,4,2,5,6,1,3]=>[1,4,6,3,2,7,5]=>4
[7,4,2,5,6,3,1]=>[1,4,6,3,2,5,7]=>8
[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>4
[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>8
[7,4,2,6,3,1,5]=>[1,4,6,2,5,7,3]=>4
[7,4,2,6,3,5,1]=>[1,4,6,2,5,3,7]=>8
[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>8
[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>16
[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>2
[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>4
[7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>2
[7,4,3,1,5,6,2]=>[1,4,5,7,3,2,6]=>4
[7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>4
[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>8
[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>2
[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>4
[7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>2
[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>4
[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>4
[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>8
[7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>2
[7,4,3,5,1,6,2]=>[1,4,5,3,7,2,6]=>4
[7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>2
[7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>4
[7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>4
[7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>8
[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>4
[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>8
[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>4
[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>8
[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>8
[7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>16
[7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>2
[7,4,5,1,2,6,3]=>[1,4,3,7,6,2,5]=>4
[7,4,5,1,3,2,6]=>[1,4,3,7,5,6,2]=>2
[7,4,5,1,3,6,2]=>[1,4,3,7,5,2,6]=>4
[7,4,5,1,6,2,3]=>[1,4,3,7,2,6,5]=>4
[7,4,5,1,6,3,2]=>[1,4,3,7,2,5,6]=>8
[7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>2
[7,4,5,2,1,6,3]=>[1,4,3,6,7,2,5]=>4
[7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>2
[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>4
[7,4,5,2,6,1,3]=>[1,4,3,6,2,7,5]=>4
[7,4,5,2,6,3,1]=>[1,4,3,6,2,5,7]=>8
[7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>2
[7,4,5,3,1,6,2]=>[1,4,3,5,7,2,6]=>4
[7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>2
[7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>4
[7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>4
[7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>8
[7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>4
[7,4,5,6,1,3,2]=>[1,4,3,2,7,5,6]=>8
[7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>4
[7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>8
[7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>8
[7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>16
[7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>4
[7,4,6,1,2,5,3]=>[1,4,2,7,6,3,5]=>8
[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>4
[7,4,6,1,3,5,2]=>[1,4,2,7,5,3,6]=>8
[7,4,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>8
[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>16
[7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>4
[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>8
[7,4,6,2,3,1,5]=>[1,4,2,6,5,7,3]=>4
[7,4,6,2,3,5,1]=>[1,4,2,6,5,3,7]=>8
[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>8
[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>16
[7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>4
[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>8
[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>4
[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>8
[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>8
[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>16
[7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>8
[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>16
[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>8
[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>16
[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>16
[7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>32
[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>2
[7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>4
[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>2
[7,5,1,2,4,6,3]=>[1,3,7,6,4,2,5]=>4
[7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>4
[7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>8
[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>2
[7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>4
[7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>2
[7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>4
[7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>4
[7,5,1,3,6,4,2]=>[1,3,7,5,2,4,6]=>8
[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>2
[7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>4
[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>2
[7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>4
[7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>4
[7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>8
[7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>4
[7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>8
[7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>4
[7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>8
[7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>8
[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>16
[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>2
[7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>4
[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>2
[7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>4
[7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>4
[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>8
[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>2
[7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>4
[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>2
[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>4
[7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>4
[7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>8
[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>2
[7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>4
[7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>2
[7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>4
[7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>4
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>8
[7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>4
[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>8
[7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>4
[7,5,2,6,3,4,1]=>[1,3,6,2,5,4,7]=>8
[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>8
[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>16
[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>2
[7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>4
[7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>2
[7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>4
[7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>4
[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>8
[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>2
[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>4
[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>2
[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>4
[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>4
[7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>8
[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>2
[7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>4
[7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>2
[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>4
[7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>4
[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>8
[7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>4
[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>8
[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>4
[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>8
[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>8
[7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>16
[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>2
[7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>4
[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>2
[7,5,4,1,3,6,2]=>[1,3,4,7,5,2,6]=>4
[7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>4
[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>8
[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>2
[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>4
[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>2
[7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>4
[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>4
[7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>8
[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>2
[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>4
[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>2
[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>4
[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>4
[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>8
[7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>4
[7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>8
[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>4
[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>8
[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>8
[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>16
[7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>4
[7,5,6,1,2,4,3]=>[1,3,2,7,6,4,5]=>8
[7,5,6,1,3,2,4]=>[1,3,2,7,5,6,4]=>4
[7,5,6,1,3,4,2]=>[1,3,2,7,5,4,6]=>8
[7,5,6,1,4,2,3]=>[1,3,2,7,4,6,5]=>8
[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>16
[7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>4
[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>8
[7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>4
[7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>8
[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>8
[7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>16
[7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>4
[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>8
[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>4
[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>8
[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>8
[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>16
[7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>8
[7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>16
[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>8
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>16
[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>16
[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>32
[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>4
[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>8
[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>4
[7,6,1,2,4,5,3]=>[1,2,7,6,4,3,5]=>8
[7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>8
[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>16
[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>4
[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>8
[7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>4
[7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>8
[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>8
[7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>16
[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>4
[7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>8
[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>4
[7,6,1,4,3,5,2]=>[1,2,7,4,5,3,6]=>8
[7,6,1,4,5,2,3]=>[1,2,7,4,3,6,5]=>8
[7,6,1,4,5,3,2]=>[1,2,7,4,3,5,6]=>16
[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>8
[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>16
[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>8
[7,6,1,5,3,4,2]=>[1,2,7,3,5,4,6]=>16
[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>16
[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>32
[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>4
[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>8
[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>4
[7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>8
[7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>8
[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>16
[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>4
[7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>8
[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>4
[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>8
[7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>8
[7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>16
[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>4
[7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>8
[7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>4
[7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>8
[7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>8
[7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>16
[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>8
[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>16
[7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>8
[7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>16
[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>16
[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>32
[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>4
[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>8
[7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>4
[7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>8
[7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>8
[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>16
[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>4
[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>8
[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>4
[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>8
[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>8
[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>16
[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>4
[7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>8
[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>4
[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>8
[7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>8
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>16
[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>8
[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>16
[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>8
[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>16
[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>16
[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>32
[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>4
[7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>8
[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>4
[7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>8
[7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>8
[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>16
[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>4
[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>8
[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>4
[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>8
[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>8
[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>16
[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>4
[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>8
[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>4
[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>8
[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>8
[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>16
[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>8
[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>16
[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>8
[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>16
[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>16
[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>32
[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>8
[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>16
[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>8
[7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>16
[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>16
[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>32
[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>8
[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>16
[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>8
[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>16
[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>16
[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>32
[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>8
[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>16
[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>8
[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>16
[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>16
[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>32
[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>16
[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>32
[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>16
[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>32
[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>32
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>64
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Description
The size of the preimage of the map 'cycle-as-one-line notation' from Permutations to Permutations.
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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