Identifier
-
Mp00068:
Permutations
—Simion-Schmidt map⟶
Permutations
Mp00069: Permutations —complement⟶ Permutations
St001497: Permutations ⟶ ℤ
Values
=>
[1]=>[1]=>[1]=>1
[1,2]=>[1,2]=>[2,1]=>1
[2,1]=>[2,1]=>[1,2]=>2
[1,2,3]=>[1,3,2]=>[3,1,2]=>1
[1,3,2]=>[1,3,2]=>[3,1,2]=>1
[2,1,3]=>[2,1,3]=>[2,3,1]=>2
[2,3,1]=>[2,3,1]=>[2,1,3]=>3
[3,1,2]=>[3,1,2]=>[1,3,2]=>2
[3,2,1]=>[3,2,1]=>[1,2,3]=>3
[1,2,3,4]=>[1,4,3,2]=>[4,1,2,3]=>1
[1,2,4,3]=>[1,4,3,2]=>[4,1,2,3]=>1
[1,3,2,4]=>[1,4,3,2]=>[4,1,2,3]=>1
[1,3,4,2]=>[1,4,3,2]=>[4,1,2,3]=>1
[1,4,2,3]=>[1,4,3,2]=>[4,1,2,3]=>1
[1,4,3,2]=>[1,4,3,2]=>[4,1,2,3]=>1
[2,1,3,4]=>[2,1,4,3]=>[3,4,1,2]=>2
[2,1,4,3]=>[2,1,4,3]=>[3,4,1,2]=>2
[2,3,1,4]=>[2,4,1,3]=>[3,1,4,2]=>3
[2,3,4,1]=>[2,4,3,1]=>[3,1,2,4]=>4
[2,4,1,3]=>[2,4,1,3]=>[3,1,4,2]=>3
[2,4,3,1]=>[2,4,3,1]=>[3,1,2,4]=>4
[3,1,2,4]=>[3,1,4,2]=>[2,4,1,3]=>2
[3,1,4,2]=>[3,1,4,2]=>[2,4,1,3]=>2
[3,2,1,4]=>[3,2,1,4]=>[2,3,4,1]=>3
[3,2,4,1]=>[3,2,4,1]=>[2,3,1,4]=>4
[3,4,1,2]=>[3,4,1,2]=>[2,1,4,3]=>3
[3,4,2,1]=>[3,4,2,1]=>[2,1,3,4]=>4
[4,1,2,3]=>[4,1,3,2]=>[1,4,2,3]=>2
[4,1,3,2]=>[4,1,3,2]=>[1,4,2,3]=>2
[4,2,1,3]=>[4,2,1,3]=>[1,3,4,2]=>3
[4,2,3,1]=>[4,2,3,1]=>[1,3,2,4]=>4
[4,3,1,2]=>[4,3,1,2]=>[1,2,4,3]=>3
[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>4
[1,2,3,4,5]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,2,3,5,4]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,2,4,3,5]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,2,4,5,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,2,5,3,4]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,2,5,4,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,3,2,4,5]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,3,2,5,4]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,3,4,2,5]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,3,4,5,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,3,5,2,4]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,3,5,4,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,4,2,3,5]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,4,2,5,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,4,3,2,5]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,4,3,5,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,4,5,2,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,4,5,3,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,5,2,3,4]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,5,2,4,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,5,3,2,4]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,5,3,4,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,5,4,2,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[1,5,4,3,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>1
[2,1,3,4,5]=>[2,1,5,4,3]=>[4,5,1,2,3]=>2
[2,1,3,5,4]=>[2,1,5,4,3]=>[4,5,1,2,3]=>2
[2,1,4,3,5]=>[2,1,5,4,3]=>[4,5,1,2,3]=>2
[2,1,4,5,3]=>[2,1,5,4,3]=>[4,5,1,2,3]=>2
[2,1,5,3,4]=>[2,1,5,4,3]=>[4,5,1,2,3]=>2
[2,1,5,4,3]=>[2,1,5,4,3]=>[4,5,1,2,3]=>2
[2,3,1,4,5]=>[2,5,1,4,3]=>[4,1,5,2,3]=>3
[2,3,1,5,4]=>[2,5,1,4,3]=>[4,1,5,2,3]=>3
[2,3,4,1,5]=>[2,5,4,1,3]=>[4,1,2,5,3]=>4
[2,3,4,5,1]=>[2,5,4,3,1]=>[4,1,2,3,5]=>5
[2,3,5,1,4]=>[2,5,4,1,3]=>[4,1,2,5,3]=>4
[2,3,5,4,1]=>[2,5,4,3,1]=>[4,1,2,3,5]=>5
[2,4,1,3,5]=>[2,5,1,4,3]=>[4,1,5,2,3]=>3
[2,4,1,5,3]=>[2,5,1,4,3]=>[4,1,5,2,3]=>3
[2,4,3,1,5]=>[2,5,4,1,3]=>[4,1,2,5,3]=>4
[2,4,3,5,1]=>[2,5,4,3,1]=>[4,1,2,3,5]=>5
[2,4,5,1,3]=>[2,5,4,1,3]=>[4,1,2,5,3]=>4
[2,4,5,3,1]=>[2,5,4,3,1]=>[4,1,2,3,5]=>5
[2,5,1,3,4]=>[2,5,1,4,3]=>[4,1,5,2,3]=>3
[2,5,1,4,3]=>[2,5,1,4,3]=>[4,1,5,2,3]=>3
[2,5,3,1,4]=>[2,5,4,1,3]=>[4,1,2,5,3]=>4
[2,5,3,4,1]=>[2,5,4,3,1]=>[4,1,2,3,5]=>5
[2,5,4,1,3]=>[2,5,4,1,3]=>[4,1,2,5,3]=>4
[2,5,4,3,1]=>[2,5,4,3,1]=>[4,1,2,3,5]=>5
[3,1,2,4,5]=>[3,1,5,4,2]=>[3,5,1,2,4]=>2
[3,1,2,5,4]=>[3,1,5,4,2]=>[3,5,1,2,4]=>2
[3,1,4,2,5]=>[3,1,5,4,2]=>[3,5,1,2,4]=>2
[3,1,4,5,2]=>[3,1,5,4,2]=>[3,5,1,2,4]=>2
[3,1,5,2,4]=>[3,1,5,4,2]=>[3,5,1,2,4]=>2
[3,1,5,4,2]=>[3,1,5,4,2]=>[3,5,1,2,4]=>2
[3,2,1,4,5]=>[3,2,1,5,4]=>[3,4,5,1,2]=>3
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,4,5,1,2]=>3
[3,2,4,1,5]=>[3,2,5,1,4]=>[3,4,1,5,2]=>4
[3,2,4,5,1]=>[3,2,5,4,1]=>[3,4,1,2,5]=>5
[3,2,5,1,4]=>[3,2,5,1,4]=>[3,4,1,5,2]=>4
[3,2,5,4,1]=>[3,2,5,4,1]=>[3,4,1,2,5]=>5
[3,4,1,2,5]=>[3,5,1,4,2]=>[3,1,5,2,4]=>3
[3,4,1,5,2]=>[3,5,1,4,2]=>[3,1,5,2,4]=>3
[3,4,2,1,5]=>[3,5,2,1,4]=>[3,1,4,5,2]=>4
[3,4,2,5,1]=>[3,5,2,4,1]=>[3,1,4,2,5]=>5
[3,4,5,1,2]=>[3,5,4,1,2]=>[3,1,2,5,4]=>4
[3,4,5,2,1]=>[3,5,4,2,1]=>[3,1,2,4,5]=>5
[3,5,1,2,4]=>[3,5,1,4,2]=>[3,1,5,2,4]=>3
[3,5,1,4,2]=>[3,5,1,4,2]=>[3,1,5,2,4]=>3
[3,5,2,1,4]=>[3,5,2,1,4]=>[3,1,4,5,2]=>4
[3,5,2,4,1]=>[3,5,2,4,1]=>[3,1,4,2,5]=>5
[3,5,4,1,2]=>[3,5,4,1,2]=>[3,1,2,5,4]=>4
[3,5,4,2,1]=>[3,5,4,2,1]=>[3,1,2,4,5]=>5
[4,1,2,3,5]=>[4,1,5,3,2]=>[2,5,1,3,4]=>2
[4,1,2,5,3]=>[4,1,5,3,2]=>[2,5,1,3,4]=>2
[4,1,3,2,5]=>[4,1,5,3,2]=>[2,5,1,3,4]=>2
[4,1,3,5,2]=>[4,1,5,3,2]=>[2,5,1,3,4]=>2
[4,1,5,2,3]=>[4,1,5,3,2]=>[2,5,1,3,4]=>2
[4,1,5,3,2]=>[4,1,5,3,2]=>[2,5,1,3,4]=>2
[4,2,1,3,5]=>[4,2,1,5,3]=>[2,4,5,1,3]=>3
[4,2,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>3
[4,2,3,1,5]=>[4,2,5,1,3]=>[2,4,1,5,3]=>4
[4,2,3,5,1]=>[4,2,5,3,1]=>[2,4,1,3,5]=>5
[4,2,5,1,3]=>[4,2,5,1,3]=>[2,4,1,5,3]=>4
[4,2,5,3,1]=>[4,2,5,3,1]=>[2,4,1,3,5]=>5
[4,3,1,2,5]=>[4,3,1,5,2]=>[2,3,5,1,4]=>3
[4,3,1,5,2]=>[4,3,1,5,2]=>[2,3,5,1,4]=>3
[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>4
[4,3,2,5,1]=>[4,3,2,5,1]=>[2,3,4,1,5]=>5
[4,3,5,1,2]=>[4,3,5,1,2]=>[2,3,1,5,4]=>4
[4,3,5,2,1]=>[4,3,5,2,1]=>[2,3,1,4,5]=>5
[4,5,1,2,3]=>[4,5,1,3,2]=>[2,1,5,3,4]=>3
[4,5,1,3,2]=>[4,5,1,3,2]=>[2,1,5,3,4]=>3
[4,5,2,1,3]=>[4,5,2,1,3]=>[2,1,4,5,3]=>4
[4,5,2,3,1]=>[4,5,2,3,1]=>[2,1,4,3,5]=>5
[4,5,3,1,2]=>[4,5,3,1,2]=>[2,1,3,5,4]=>4
[4,5,3,2,1]=>[4,5,3,2,1]=>[2,1,3,4,5]=>5
[5,1,2,3,4]=>[5,1,4,3,2]=>[1,5,2,3,4]=>2
[5,1,2,4,3]=>[5,1,4,3,2]=>[1,5,2,3,4]=>2
[5,1,3,2,4]=>[5,1,4,3,2]=>[1,5,2,3,4]=>2
[5,1,3,4,2]=>[5,1,4,3,2]=>[1,5,2,3,4]=>2
[5,1,4,2,3]=>[5,1,4,3,2]=>[1,5,2,3,4]=>2
[5,1,4,3,2]=>[5,1,4,3,2]=>[1,5,2,3,4]=>2
[5,2,1,3,4]=>[5,2,1,4,3]=>[1,4,5,2,3]=>3
[5,2,1,4,3]=>[5,2,1,4,3]=>[1,4,5,2,3]=>3
[5,2,3,1,4]=>[5,2,4,1,3]=>[1,4,2,5,3]=>4
[5,2,3,4,1]=>[5,2,4,3,1]=>[1,4,2,3,5]=>5
[5,2,4,1,3]=>[5,2,4,1,3]=>[1,4,2,5,3]=>4
[5,2,4,3,1]=>[5,2,4,3,1]=>[1,4,2,3,5]=>5
[5,3,1,2,4]=>[5,3,1,4,2]=>[1,3,5,2,4]=>3
[5,3,1,4,2]=>[5,3,1,4,2]=>[1,3,5,2,4]=>3
[5,3,2,1,4]=>[5,3,2,1,4]=>[1,3,4,5,2]=>4
[5,3,2,4,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>5
[5,3,4,1,2]=>[5,3,4,1,2]=>[1,3,2,5,4]=>4
[5,3,4,2,1]=>[5,3,4,2,1]=>[1,3,2,4,5]=>5
[5,4,1,2,3]=>[5,4,1,3,2]=>[1,2,5,3,4]=>3
[5,4,1,3,2]=>[5,4,1,3,2]=>[1,2,5,3,4]=>3
[5,4,2,1,3]=>[5,4,2,1,3]=>[1,2,4,5,3]=>4
[5,4,2,3,1]=>[5,4,2,3,1]=>[1,2,4,3,5]=>5
[5,4,3,1,2]=>[5,4,3,1,2]=>[1,2,3,5,4]=>4
[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>5
[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>1
[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>2
[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>3
[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>4
[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>5
[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>6
[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>2
[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>3
[3,2,1,4,6,5]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>3
[3,2,1,5,4,6]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>3
[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>3
[3,2,1,6,4,5]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>3
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>3
[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>4
[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>4
[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>5
[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>6
[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>5
[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>6
[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>4
[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>4
[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>5
[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>6
[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>5
[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>6
[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>4
[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>4
[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>5
[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>6
[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>5
[3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>6
[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>4
[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>4
[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>5
[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>6
[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>5
[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>6
[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>5
[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>6
[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>5
[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>6
[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>5
[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>6
[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>5
[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>6
[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>4
[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>4
[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>5
[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>6
[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>5
[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>6
[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>5
[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>6
[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>5
[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>6
[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>5
[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>6
[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>5
[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>6
[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>3
[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>4
[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>4
[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>5
[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>6
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>5
[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>6
[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>5
[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>6
[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>5
[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>6
[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>4
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>5
[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>6
[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>5
[3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>6
[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>2
[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>3
[4,2,1,3,6,5]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>3
[4,2,1,5,3,6]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>3
[4,2,1,5,6,3]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>3
[4,2,1,6,3,5]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>3
[4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>3
[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>4
[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>4
[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>5
[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>6
[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>5
[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>6
[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>4
[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>4
[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>5
[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>6
[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>5
[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>6
[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>4
[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>4
[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>5
[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>6
[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>5
[4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>6
[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>3
[4,3,1,2,6,5]=>[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>3
[4,3,1,5,2,6]=>[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>3
[4,3,1,5,6,2]=>[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>3
[4,3,1,6,2,5]=>[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>3
[4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>3
[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>4
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>4
[4,3,2,5,1,6]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>5
[4,3,2,5,6,1]=>[4,3,2,6,5,1]=>[3,4,5,1,2,6]=>6
[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>5
[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[3,4,5,1,2,6]=>6
[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>4
[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>4
[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>5
[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>6
[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>5
[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[3,4,1,2,5,6]=>6
[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>4
[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>4
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>5
[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>6
[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>5
[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[3,4,1,2,5,6]=>6
[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>4
[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>4
[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>5
[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>6
[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>5
[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>6
[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>4
[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>4
[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>5
[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>6
[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>5
[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>6
[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>4
[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>4
[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>5
[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>6
[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>5
[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[3,1,2,4,5,6]=>6
[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>3
[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>4
[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>4
[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>5
[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>6
[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>5
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>6
[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>4
[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>4
[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>5
[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>6
[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>5
[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>6
[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>4
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>4
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>5
[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>6
[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>5
[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[3,1,2,4,5,6]=>6
[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>2
[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>3
[5,2,1,3,6,4]=>[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>3
[5,2,1,4,3,6]=>[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>3
[5,2,1,4,6,3]=>[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>3
[5,2,1,6,3,4]=>[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>3
[5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>3
[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>4
[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>4
[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>5
[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>6
[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>5
[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>6
[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>4
[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>4
[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>5
[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>6
[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>5
[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>6
[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>4
[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>4
[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>5
[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>6
[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>5
[5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>6
[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>3
[5,3,1,2,6,4]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>3
[5,3,1,4,2,6]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>3
[5,3,1,4,6,2]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>3
[5,3,1,6,2,4]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>3
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>3
[5,3,2,1,4,6]=>[5,3,2,1,6,4]=>[2,4,5,6,1,3]=>4
[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[2,4,5,6,1,3]=>4
[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>5
[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>[2,4,5,1,3,6]=>6
[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>5
[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[2,4,5,1,3,6]=>6
[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>4
[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>4
[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[2,4,1,5,6,3]=>5
[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>6
[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[2,4,1,3,6,5]=>5
[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[2,4,1,3,5,6]=>6
[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>4
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>4
[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[2,4,1,5,6,3]=>5
[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>6
[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[2,4,1,3,6,5]=>5
[5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[2,4,1,3,5,6]=>6
[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>3
[5,4,1,2,6,3]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>3
[5,4,1,3,2,6]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>3
[5,4,1,3,6,2]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>3
[5,4,1,6,2,3]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>3
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>3
[5,4,2,1,3,6]=>[5,4,2,1,6,3]=>[2,3,5,6,1,4]=>4
[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[2,3,5,6,1,4]=>4
[5,4,2,3,1,6]=>[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>5
[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>[2,3,5,1,4,6]=>6
[5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>5
[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[2,3,5,1,4,6]=>6
[5,4,3,1,2,6]=>[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>4
[5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>4
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>5
[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>6
[5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>5
[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>6
[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>4
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>4
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>5
[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>6
[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>5
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>6
[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>3
[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>3
[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>3
[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>3
[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>3
[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>3
[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[2,1,5,6,3,4]=>4
[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[2,1,5,6,3,4]=>4
[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>5
[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[2,1,5,3,4,6]=>6
[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>5
[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[2,1,5,3,4,6]=>6
[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[2,1,4,6,3,5]=>4
[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[2,1,4,6,3,5]=>4
[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>5
[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>6
[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>5
[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>6
[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[2,1,3,6,4,5]=>4
[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[2,1,3,6,4,5]=>4
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>5
[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>6
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>5
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>6
[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>2
[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>3
[6,2,1,3,5,4]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>3
[6,2,1,4,3,5]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>3
[6,2,1,4,5,3]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>3
[6,2,1,5,3,4]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>3
[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>3
[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>4
[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>4
[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>5
[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>6
[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>5
[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>6
[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>4
[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>4
[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>5
[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>6
[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>5
[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>6
[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>4
[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>4
[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>5
[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>6
[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>5
[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>6
[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>3
[6,3,1,2,5,4]=>[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>3
[6,3,1,4,2,5]=>[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>3
[6,3,1,4,5,2]=>[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>3
[6,3,1,5,2,4]=>[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>3
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>3
[6,3,2,1,4,5]=>[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>4
[6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>4
[6,3,2,4,1,5]=>[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>5
[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>6
[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>5
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>6
[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>4
[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>4
[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>5
[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>6
[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>5
[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[1,4,2,3,5,6]=>6
[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>4
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>4
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>5
[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>6
[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>5
[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[1,4,2,3,5,6]=>6
[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>3
[6,4,1,2,5,3]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>3
[6,4,1,3,2,5]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>3
[6,4,1,3,5,2]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>3
[6,4,1,5,2,3]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>3
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>3
[6,4,2,1,3,5]=>[6,4,2,1,5,3]=>[1,3,5,6,2,4]=>4
[6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[1,3,5,6,2,4]=>4
[6,4,2,3,1,5]=>[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>5
[6,4,2,3,5,1]=>[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>6
[6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>5
[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>6
[6,4,3,1,2,5]=>[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>4
[6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>4
[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>5
[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>6
[6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>5
[6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>6
[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>4
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>4
[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>5
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>6
[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>5
[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>6
[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>3
[6,5,1,2,4,3]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>3
[6,5,1,3,2,4]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>3
[6,5,1,3,4,2]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>3
[6,5,1,4,2,3]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>3
[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>3
[6,5,2,1,3,4]=>[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>4
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>4
[6,5,2,3,1,4]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>5
[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>6
[6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>5
[6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>6
[6,5,3,1,2,4]=>[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>4
[6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>4
[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>5
[6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>6
[6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>5
[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>6
[6,5,4,1,2,3]=>[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>4
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>4
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>5
[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>6
[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>5
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>6
[7,4,2,3,1,5,6]=>[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>5
[7,4,2,3,1,6,5]=>[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>5
[7,4,2,3,5,1,6]=>[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>6
[7,4,2,3,5,6,1]=>[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>7
[7,4,2,3,6,1,5]=>[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>6
[7,4,2,3,6,5,1]=>[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>7
[7,4,2,5,1,3,6]=>[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>5
[7,4,2,5,1,6,3]=>[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>5
[7,4,2,5,3,1,6]=>[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>6
[7,4,2,5,3,6,1]=>[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>7
[7,4,2,5,6,1,3]=>[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>6
[7,4,2,5,6,3,1]=>[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>7
[7,4,2,6,1,3,5]=>[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>5
[7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>5
[7,4,2,6,3,1,5]=>[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>6
[7,4,2,6,3,5,1]=>[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>7
[7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>6
[7,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>7
[7,4,3,1,2,5,6]=>[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>4
[7,4,3,1,2,6,5]=>[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>4
[7,4,3,1,5,2,6]=>[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>4
[7,4,3,1,5,6,2]=>[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>4
[7,4,3,1,6,2,5]=>[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>4
[7,4,3,1,6,5,2]=>[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>4
[7,4,3,2,1,5,6]=>[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>5
[7,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>5
[7,4,3,2,5,1,6]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>6
[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>7
[7,4,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>6
[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>7
[7,4,3,5,1,2,6]=>[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>5
[7,4,3,5,1,6,2]=>[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>5
[7,4,3,5,2,1,6]=>[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>6
[7,4,3,5,2,6,1]=>[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>7
[7,4,3,5,6,1,2]=>[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>6
[7,4,3,5,6,2,1]=>[7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>7
[7,4,3,6,1,2,5]=>[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>5
[7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>5
[7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>6
[7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>7
[7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>6
[7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>7
[7,4,5,1,2,3,6]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,5,1,2,6,3]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,5,1,3,2,6]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,5,1,3,6,2]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,5,1,6,2,3]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,5,1,6,3,2]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,5,2,1,3,6]=>[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>5
[7,4,5,2,1,6,3]=>[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>5
[7,4,5,2,3,1,6]=>[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>6
[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>7
[7,4,5,2,6,1,3]=>[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>6
[7,4,5,2,6,3,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>7
[7,4,5,3,1,2,6]=>[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>5
[7,4,5,3,1,6,2]=>[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>5
[7,4,5,3,2,1,6]=>[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>6
[7,4,5,3,2,6,1]=>[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>7
[7,4,5,3,6,1,2]=>[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>6
[7,4,5,3,6,2,1]=>[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>7
[7,4,5,6,1,2,3]=>[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>5
[7,4,5,6,1,3,2]=>[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>5
[7,4,5,6,2,1,3]=>[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>6
[7,4,5,6,2,3,1]=>[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>7
[7,4,5,6,3,1,2]=>[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>6
[7,4,5,6,3,2,1]=>[7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>7
[7,4,6,1,2,3,5]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,6,1,2,5,3]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,6,1,3,2,5]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,6,1,3,5,2]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,6,1,5,2,3]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>4
[7,4,6,2,1,3,5]=>[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>5
[7,4,6,2,1,5,3]=>[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>5
[7,4,6,2,3,1,5]=>[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>6
[7,4,6,2,3,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>7
[7,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>6
[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>7
[7,4,6,3,1,2,5]=>[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>5
[7,4,6,3,1,5,2]=>[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>5
[7,4,6,3,2,1,5]=>[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>6
[7,4,6,3,2,5,1]=>[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>7
[7,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>6
[7,4,6,3,5,2,1]=>[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>7
[7,4,6,5,1,2,3]=>[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>5
[7,4,6,5,1,3,2]=>[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>5
[7,4,6,5,2,1,3]=>[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>6
[7,4,6,5,2,3,1]=>[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>7
[7,4,6,5,3,1,2]=>[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>6
[7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>7
[7,5,1,2,3,4,6]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,2,3,6,4]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,2,4,3,6]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,2,4,6,3]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,2,6,3,4]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,2,6,4,3]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,3,2,4,6]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,3,2,6,4]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,3,4,2,6]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,3,4,6,2]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,3,6,2,4]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,3,6,4,2]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,4,2,3,6]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,4,2,6,3]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,4,3,2,6]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,4,3,6,2]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,4,6,2,3]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,4,6,3,2]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,6,2,3,4]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,6,2,4,3]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,6,3,2,4]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,6,3,4,2]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,6,4,2,3]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,1,6,4,3,2]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>3
[7,5,2,1,3,4,6]=>[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>4
[7,5,2,1,3,6,4]=>[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>4
[7,5,2,1,4,3,6]=>[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>4
[7,5,2,1,4,6,3]=>[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>4
[7,5,2,1,6,3,4]=>[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>4
[7,5,2,1,6,4,3]=>[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>4
[7,5,2,3,1,4,6]=>[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>5
[7,5,2,3,1,6,4]=>[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>5
[7,5,2,3,4,1,6]=>[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>6
[7,5,2,3,4,6,1]=>[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>7
[7,5,2,3,6,1,4]=>[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>6
[7,5,2,3,6,4,1]=>[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>7
[7,5,2,4,1,3,6]=>[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>5
[7,5,2,4,1,6,3]=>[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>5
[7,5,2,4,3,1,6]=>[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>6
[7,5,2,4,3,6,1]=>[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>7
[7,5,2,4,6,1,3]=>[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>6
[7,5,2,4,6,3,1]=>[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>7
[7,5,2,6,1,3,4]=>[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>5
[7,5,2,6,1,4,3]=>[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>5
[7,5,2,6,3,1,4]=>[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>6
[7,5,2,6,3,4,1]=>[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>7
[7,5,2,6,4,1,3]=>[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>6
[7,5,2,6,4,3,1]=>[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>7
[7,5,3,1,2,4,6]=>[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>4
[7,5,3,1,2,6,4]=>[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>4
[7,5,3,1,4,2,6]=>[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>4
[7,5,3,1,4,6,2]=>[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>4
[7,5,3,1,6,2,4]=>[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>4
[7,5,3,1,6,4,2]=>[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>4
[7,5,3,2,1,4,6]=>[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>5
[7,5,3,2,1,6,4]=>[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>5
[7,5,3,2,4,1,6]=>[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>6
[7,5,3,2,4,6,1]=>[7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>7
[7,5,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>6
[7,5,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>7
[7,5,3,4,1,2,6]=>[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>5
[7,5,3,4,1,6,2]=>[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>5
[7,5,3,4,2,1,6]=>[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>6
[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>7
[7,5,3,4,6,1,2]=>[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>6
[7,5,3,4,6,2,1]=>[7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>7
[7,5,3,6,1,2,4]=>[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>5
[7,5,3,6,1,4,2]=>[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>5
[7,5,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>6
[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>7
[7,5,3,6,4,1,2]=>[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>6
[7,5,3,6,4,2,1]=>[7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>7
[7,5,4,1,2,3,6]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>4
[7,5,4,1,2,6,3]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>4
[7,5,4,1,3,2,6]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>4
[7,5,4,1,3,6,2]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>4
[7,5,4,1,6,2,3]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>4
[7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>4
[7,5,4,2,1,3,6]=>[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>5
[7,5,4,2,1,6,3]=>[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>5
[7,5,4,2,3,1,6]=>[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>6
[7,5,4,2,3,6,1]=>[7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>7
[7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>6
[7,5,4,2,6,3,1]=>[7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>7
[7,5,4,3,1,2,6]=>[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>5
[7,5,4,3,1,6,2]=>[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>5
[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>6
[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>7
[7,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>6
[7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>7
[7,5,4,6,1,2,3]=>[7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>5
[7,5,4,6,1,3,2]=>[7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>5
[7,5,4,6,2,1,3]=>[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>6
[7,5,4,6,2,3,1]=>[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>7
[7,5,4,6,3,1,2]=>[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>6
[7,5,4,6,3,2,1]=>[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>7
[7,5,6,1,2,3,4]=>[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>4
[7,5,6,1,2,4,3]=>[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>4
[7,5,6,1,3,2,4]=>[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>4
[7,5,6,1,3,4,2]=>[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>4
[7,5,6,1,4,2,3]=>[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>4
[7,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>4
[7,5,6,2,1,3,4]=>[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>5
[7,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>5
[7,5,6,2,3,1,4]=>[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>6
[7,5,6,2,3,4,1]=>[7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>7
[7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>6
[7,5,6,2,4,3,1]=>[7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>7
[7,5,6,3,1,2,4]=>[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>5
[7,5,6,3,1,4,2]=>[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>5
[7,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>6
[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>7
[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>6
[7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>7
[7,5,6,4,1,2,3]=>[7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>5
[7,5,6,4,1,3,2]=>[7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>5
[7,5,6,4,2,1,3]=>[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>6
[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>7
[7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>6
[7,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>7
[7,6,1,2,3,4,5]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,2,3,5,4]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,2,4,3,5]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,2,4,5,3]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,2,5,3,4]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,2,5,4,3]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,3,2,4,5]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,3,2,5,4]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,3,4,2,5]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,3,4,5,2]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,3,5,2,4]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,3,5,4,2]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,4,2,3,5]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,4,2,5,3]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,4,3,2,5]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,4,3,5,2]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,4,5,2,3]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,4,5,3,2]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,5,2,3,4]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,5,2,4,3]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,5,3,2,4]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,5,3,4,2]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,5,4,2,3]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>3
[7,6,2,1,3,4,5]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>4
[7,6,2,1,3,5,4]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>4
[7,6,2,1,4,3,5]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>4
[7,6,2,1,4,5,3]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>4
[7,6,2,1,5,3,4]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>4
[7,6,2,1,5,4,3]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>4
[7,6,2,3,1,4,5]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>5
[7,6,2,3,1,5,4]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>5
[7,6,2,3,4,1,5]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>6
[7,6,2,3,4,5,1]=>[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>7
[7,6,2,3,5,1,4]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>6
[7,6,2,3,5,4,1]=>[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>7
[7,6,2,4,1,3,5]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>5
[7,6,2,4,1,5,3]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>5
[7,6,2,4,3,1,5]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>6
[7,6,2,4,3,5,1]=>[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>7
[7,6,2,4,5,1,3]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>6
[7,6,2,4,5,3,1]=>[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>7
[7,6,2,5,1,3,4]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>5
[7,6,2,5,1,4,3]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>5
[7,6,2,5,3,1,4]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>6
[7,6,2,5,3,4,1]=>[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>7
[7,6,2,5,4,1,3]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>6
[7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>7
[7,6,3,1,2,4,5]=>[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>4
[7,6,3,1,2,5,4]=>[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>4
[7,6,3,1,4,2,5]=>[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>4
[7,6,3,1,4,5,2]=>[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>4
[7,6,3,1,5,2,4]=>[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>4
[7,6,3,1,5,4,2]=>[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>4
[7,6,3,2,1,4,5]=>[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>5
[7,6,3,2,1,5,4]=>[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>5
[7,6,3,2,4,1,5]=>[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>6
[7,6,3,2,4,5,1]=>[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>7
[7,6,3,2,5,1,4]=>[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>6
[7,6,3,2,5,4,1]=>[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>7
[7,6,3,4,1,2,5]=>[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>5
[7,6,3,4,1,5,2]=>[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>5
[7,6,3,4,2,1,5]=>[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>6
[7,6,3,4,2,5,1]=>[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>7
[7,6,3,4,5,1,2]=>[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>6
[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>7
[7,6,3,5,1,2,4]=>[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>5
[7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>5
[7,6,3,5,2,1,4]=>[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>6
[7,6,3,5,2,4,1]=>[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>7
[7,6,3,5,4,1,2]=>[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>6
[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>7
[7,6,4,1,2,3,5]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>4
[7,6,4,1,2,5,3]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>4
[7,6,4,1,3,2,5]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>4
[7,6,4,1,3,5,2]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>4
[7,6,4,1,5,2,3]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>4
[7,6,4,1,5,3,2]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>4
[7,6,4,2,1,3,5]=>[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>5
[7,6,4,2,1,5,3]=>[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>5
[7,6,4,2,3,1,5]=>[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>6
[7,6,4,2,3,5,1]=>[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>7
[7,6,4,2,5,1,3]=>[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>6
[7,6,4,2,5,3,1]=>[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>7
[7,6,4,3,1,2,5]=>[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>5
[7,6,4,3,1,5,2]=>[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>5
[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>6
[7,6,4,3,2,5,1]=>[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>7
[7,6,4,3,5,1,2]=>[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>6
[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>7
[7,6,4,5,1,2,3]=>[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>5
[7,6,4,5,1,3,2]=>[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>5
[7,6,4,5,2,1,3]=>[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>6
[7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>7
[7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>6
[7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>7
[7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>4
[7,6,5,1,2,4,3]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>4
[7,6,5,1,3,2,4]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>4
[7,6,5,1,3,4,2]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>4
[7,6,5,1,4,2,3]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>4
[7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>4
[7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>5
[7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>5
[7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>6
[7,6,5,2,3,4,1]=>[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>7
[7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>6
[7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>7
[7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>5
[7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>5
[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>6
[7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>7
[7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>6
[7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>7
[7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>5
[7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>5
[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>6
[7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>7
[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>6
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>7
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Description
The position of the largest weak excedence of a permutation.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
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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