- FindStat

Identifier
Mp00064: Permutations —reverse⟶ Permutations
St001806: Permutations ⟶ ℤ
Values
=>
                            
                            
                            
                            
                            
                            

                        [1]=>[1]=>1
[1,2]=>[2,1]=>1
[2,1]=>[1,2]=>2
[1,2,3]=>[3,2,1]=>2
[1,3,2]=>[2,3,1]=>3
[2,1,3]=>[3,1,2]=>1
[2,3,1]=>[1,3,2]=>3
[3,1,2]=>[2,1,3]=>1
[3,2,1]=>[1,2,3]=>2
[1,2,3,4]=>[4,3,2,1]=>2
[1,2,4,3]=>[3,4,2,1]=>2
[1,3,2,4]=>[4,2,3,1]=>3
[1,3,4,2]=>[2,4,3,1]=>3
[1,4,2,3]=>[3,2,4,1]=>4
[1,4,3,2]=>[2,3,4,1]=>4
[2,1,3,4]=>[4,3,1,2]=>1
[2,1,4,3]=>[3,4,1,2]=>1
[2,3,1,4]=>[4,1,3,2]=>3
[2,3,4,1]=>[1,4,3,2]=>3
[2,4,1,3]=>[3,1,4,2]=>4
[2,4,3,1]=>[1,3,4,2]=>4
[3,1,2,4]=>[4,2,1,3]=>1
[3,1,4,2]=>[2,4,1,3]=>1
[3,2,1,4]=>[4,1,2,3]=>2
[3,2,4,1]=>[1,4,2,3]=>2
[3,4,1,2]=>[2,1,4,3]=>4
[3,4,2,1]=>[1,2,4,3]=>4
[4,1,2,3]=>[3,2,1,4]=>1
[4,1,3,2]=>[2,3,1,4]=>1
[4,2,1,3]=>[3,1,2,4]=>2
[4,2,3,1]=>[1,3,2,4]=>2
[4,3,1,2]=>[2,1,3,4]=>3
[4,3,2,1]=>[1,2,3,4]=>3
[1,2,3,4,5]=>[5,4,3,2,1]=>3
[1,2,3,5,4]=>[4,5,3,2,1]=>3
[1,2,4,3,5]=>[5,3,4,2,1]=>4
[1,2,4,5,3]=>[3,5,4,2,1]=>4
[1,2,5,3,4]=>[4,3,5,2,1]=>5
[1,2,5,4,3]=>[3,4,5,2,1]=>5
[1,3,2,4,5]=>[5,4,2,3,1]=>2
[1,3,2,5,4]=>[4,5,2,3,1]=>2
[1,3,4,2,5]=>[5,2,4,3,1]=>4
[1,3,4,5,2]=>[2,5,4,3,1]=>4
[1,3,5,2,4]=>[4,2,5,3,1]=>5
[1,3,5,4,2]=>[2,4,5,3,1]=>5
[1,4,2,3,5]=>[5,3,2,4,1]=>2
[1,4,2,5,3]=>[3,5,2,4,1]=>2
[1,4,3,2,5]=>[5,2,3,4,1]=>3
[1,4,3,5,2]=>[2,5,3,4,1]=>3
[1,4,5,2,3]=>[3,2,5,4,1]=>5
[1,4,5,3,2]=>[2,3,5,4,1]=>5
[1,5,2,3,4]=>[4,3,2,5,1]=>2
[1,5,2,4,3]=>[3,4,2,5,1]=>2
[1,5,3,2,4]=>[4,2,3,5,1]=>3
[1,5,3,4,2]=>[2,4,3,5,1]=>3
[1,5,4,2,3]=>[3,2,4,5,1]=>4
[1,5,4,3,2]=>[2,3,4,5,1]=>4
[2,1,3,4,5]=>[5,4,3,1,2]=>3
[2,1,3,5,4]=>[4,5,3,1,2]=>3
[2,1,4,3,5]=>[5,3,4,1,2]=>4
[2,1,4,5,3]=>[3,5,4,1,2]=>4
[2,1,5,3,4]=>[4,3,5,1,2]=>5
[2,1,5,4,3]=>[3,4,5,1,2]=>5
[2,3,1,4,5]=>[5,4,1,3,2]=>1
[2,3,1,5,4]=>[4,5,1,3,2]=>1
[2,3,4,1,5]=>[5,1,4,3,2]=>4
[2,3,4,5,1]=>[1,5,4,3,2]=>4
[2,3,5,1,4]=>[4,1,5,3,2]=>5
[2,3,5,4,1]=>[1,4,5,3,2]=>5
[2,4,1,3,5]=>[5,3,1,4,2]=>1
[2,4,1,5,3]=>[3,5,1,4,2]=>1
[2,4,3,1,5]=>[5,1,3,4,2]=>3
[2,4,3,5,1]=>[1,5,3,4,2]=>3
[2,4,5,1,3]=>[3,1,5,4,2]=>5
[2,4,5,3,1]=>[1,3,5,4,2]=>5
[2,5,1,3,4]=>[4,3,1,5,2]=>1
[2,5,1,4,3]=>[3,4,1,5,2]=>1
[2,5,3,1,4]=>[4,1,3,5,2]=>3
[2,5,3,4,1]=>[1,4,3,5,2]=>3
[2,5,4,1,3]=>[3,1,4,5,2]=>4
[2,5,4,3,1]=>[1,3,4,5,2]=>4
[3,1,2,4,5]=>[5,4,2,1,3]=>2
[3,1,2,5,4]=>[4,5,2,1,3]=>2
[3,1,4,2,5]=>[5,2,4,1,3]=>4
[3,1,4,5,2]=>[2,5,4,1,3]=>4
[3,1,5,2,4]=>[4,2,5,1,3]=>5
[3,1,5,4,2]=>[2,4,5,1,3]=>5
[3,2,1,4,5]=>[5,4,1,2,3]=>1
[3,2,1,5,4]=>[4,5,1,2,3]=>1
[3,2,4,1,5]=>[5,1,4,2,3]=>4
[3,2,4,5,1]=>[1,5,4,2,3]=>4
[3,2,5,1,4]=>[4,1,5,2,3]=>5
[3,2,5,4,1]=>[1,4,5,2,3]=>5
[3,4,1,2,5]=>[5,2,1,4,3]=>1
[3,4,1,5,2]=>[2,5,1,4,3]=>1
[3,4,2,1,5]=>[5,1,2,4,3]=>2
[3,4,2,5,1]=>[1,5,2,4,3]=>2
[3,4,5,1,2]=>[2,1,5,4,3]=>5
[3,4,5,2,1]=>[1,2,5,4,3]=>5
[3,5,1,2,4]=>[4,2,1,5,3]=>1
[3,5,1,4,2]=>[2,4,1,5,3]=>1
[3,5,2,1,4]=>[4,1,2,5,3]=>2
[3,5,2,4,1]=>[1,4,2,5,3]=>2
[3,5,4,1,2]=>[2,1,4,5,3]=>4
[3,5,4,2,1]=>[1,2,4,5,3]=>4
[4,1,2,3,5]=>[5,3,2,1,4]=>2
[4,1,2,5,3]=>[3,5,2,1,4]=>2
[4,1,3,2,5]=>[5,2,3,1,4]=>3
[4,1,3,5,2]=>[2,5,3,1,4]=>3
[4,1,5,2,3]=>[3,2,5,1,4]=>5
[4,1,5,3,2]=>[2,3,5,1,4]=>5
[4,2,1,3,5]=>[5,3,1,2,4]=>1
[4,2,1,5,3]=>[3,5,1,2,4]=>1
[4,2,3,1,5]=>[5,1,3,2,4]=>3
[4,2,3,5,1]=>[1,5,3,2,4]=>3
[4,2,5,1,3]=>[3,1,5,2,4]=>5
[4,2,5,3,1]=>[1,3,5,2,4]=>5
[4,3,1,2,5]=>[5,2,1,3,4]=>1
[4,3,1,5,2]=>[2,5,1,3,4]=>1
[4,3,2,1,5]=>[5,1,2,3,4]=>2
[4,3,2,5,1]=>[1,5,2,3,4]=>2
[4,3,5,1,2]=>[2,1,5,3,4]=>5
[4,3,5,2,1]=>[1,2,5,3,4]=>5
[4,5,1,2,3]=>[3,2,1,5,4]=>1
[4,5,1,3,2]=>[2,3,1,5,4]=>1
[4,5,2,1,3]=>[3,1,2,5,4]=>2
[4,5,2,3,1]=>[1,3,2,5,4]=>2
[4,5,3,1,2]=>[2,1,3,5,4]=>3
[4,5,3,2,1]=>[1,2,3,5,4]=>3
[5,1,2,3,4]=>[4,3,2,1,5]=>2
[5,1,2,4,3]=>[3,4,2,1,5]=>2
[5,1,3,2,4]=>[4,2,3,1,5]=>3
[5,1,3,4,2]=>[2,4,3,1,5]=>3
[5,1,4,2,3]=>[3,2,4,1,5]=>4
[5,1,4,3,2]=>[2,3,4,1,5]=>4
[5,2,1,3,4]=>[4,3,1,2,5]=>1
[5,2,1,4,3]=>[3,4,1,2,5]=>1
[5,2,3,1,4]=>[4,1,3,2,5]=>3
[5,2,3,4,1]=>[1,4,3,2,5]=>3
[5,2,4,1,3]=>[3,1,4,2,5]=>4
[5,2,4,3,1]=>[1,3,4,2,5]=>4
[5,3,1,2,4]=>[4,2,1,3,5]=>1
[5,3,1,4,2]=>[2,4,1,3,5]=>1
[5,3,2,1,4]=>[4,1,2,3,5]=>2
[5,3,2,4,1]=>[1,4,2,3,5]=>2
[5,3,4,1,2]=>[2,1,4,3,5]=>4
[5,3,4,2,1]=>[1,2,4,3,5]=>4
[5,4,1,2,3]=>[3,2,1,4,5]=>1
[5,4,1,3,2]=>[2,3,1,4,5]=>1
[5,4,2,1,3]=>[3,1,2,4,5]=>2
[5,4,2,3,1]=>[1,3,2,4,5]=>2
[5,4,3,1,2]=>[2,1,3,4,5]=>3
[5,4,3,2,1]=>[1,2,3,4,5]=>3
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>3
[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>3
[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>3
[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>3
[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>3
[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>3
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>4
[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>4
[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>4
[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>4
[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>4
[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>4
[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>5
[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>5
[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>5
[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>5
[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>5
[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>5
[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>6
[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>6
[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>6
[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>6
[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>6
[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>6
[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>2
[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>2
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>2
[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>2
[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>2
[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>2
[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>4
[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>4
[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>4
[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>4
[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>4
[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>4
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>5
[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>5
[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>5
[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>5
[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>5
[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>5
[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>6
[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>6
[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>6
[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>6
[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>6
[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>6
[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>2
[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>2
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>2
[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>2
[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>2
[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>2
[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>3
[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>3
[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>3
[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>3
[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>3
[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>3
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>5
[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>5
[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>5
[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>5
[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>5
[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>5
[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>6
[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>6
[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>6
[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>6
[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>6
[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>6
[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>2
[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>2
[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>2
[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>2
[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>2
[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>2
[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>3
[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>3
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>3
[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>3
[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>3
[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>3
[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>4
[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>4
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>4
[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>4
[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>4
[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>4
[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>6
[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>6
[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>6
[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>6
[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>6
[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>6
[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>2
[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>2
[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>2
[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>2
[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>2
[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>2
[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>3
[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>3
[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>3
[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>3
[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>3
[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>3
[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>4
[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>4
[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>4
[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>4
[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>4
[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>4
[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>5
[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>5
[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>5
[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>5
[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>5
[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>5
[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>3
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>3
[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>3
[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>3
[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>3
[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>3
[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>4
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>4
[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>4
[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>4
[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>4
[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>4
[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>5
[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>5
[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>5
[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>5
[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>5
[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>5
[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>6
[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>6
[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>6
[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>6
[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>6
[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>6
[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>1
[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>1
[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>1
[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>1
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>1
[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>1
[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>4
[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>4
[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>4
[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>4
[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>4
[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>4
[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>5
[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>5
[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>5
[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>5
[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>5
[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>5
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>6
[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>6
[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>6
[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>6
[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>6
[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>6
[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>1
[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>1
[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>1
[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>1
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>1
[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>1
[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>3
[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>3
[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>3
[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>3
[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>3
[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>3
[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>5
[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>5
[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>5
[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>5
[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>5
[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>5
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>6
[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>6
[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>6
[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>6
[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>6
[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>6
[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>1
[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>1
[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>1
[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>1
[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>1
[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>1
[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>3
[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>3
[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>3
[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>3
[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>3
[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>3
[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>4
[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>4
[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>4
[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>4
[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>4
[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>4
[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>6
[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>6
[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>6
[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>6
[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>6
[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>6
[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>1
[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>1
[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>1
[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>1
[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>1
[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>1
[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>3
[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>3
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>3
[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>3
[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>3
[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>3
[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>4
[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>4
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>4
[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>4
[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>4
[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>4
[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>5
[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>5
[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>5
[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>5
[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>5
[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>5
[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>2
[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>2
[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>2
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>2
[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>2
[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>2
[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>4
[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>4
[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>4
[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>4
[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>4
[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>4
[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>5
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>5
[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>5
[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>5
[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>5
[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>5
[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>6
[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>6
[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>6
[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>6
[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>6
[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>6
[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>1
[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>1
[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>1
[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>1
[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>1
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>1
[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>4
[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>4
[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>4
[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>4
[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>4
[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>4
[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>5
[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>5
[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>5
[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>5
[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>5
[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>5
[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>6
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>6
[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>6
[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>6
[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>6
[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>6
[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>1
[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>1
[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>1
[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>1
[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>1
[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>1
[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>2
[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>2
[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>2
[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>2
[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>2
[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>2
[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>5
[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>5
[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>5
[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>5
[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>5
[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>5
[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>6
[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>6
[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>6
[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>6
[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>6
[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>6
[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>1
[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>1
[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>1
[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>1
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>1
[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>1
[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>2
[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>2
[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>2
[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>2
[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>2
[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>2
[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>4
[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>4
[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>4
[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>4
[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>4
[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>4
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>6
[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>6
[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>6
[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>6
[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>6
[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>6
[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>1
[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>1
[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>1
[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>1
[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>1
[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>1
[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>2
[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>2
[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>2
[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>2
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>2
[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>2
[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>4
[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>4
[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>4
[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>4
[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>4
[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>4
[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>5
[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>5
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>5
[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>5
[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>5
[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>5
[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>2
[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>2
[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>2
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>2
[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>2
[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>2
[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>3
[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>3
[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>3
[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>3
[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>3
[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>3
[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>5
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>5
[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>5
[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>5
[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>5
[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>5
[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>6
[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>6
[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>6
[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>6
[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>6
[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>6
[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>1
[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>1
[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>1
[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>1
[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>1
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>1
[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>3
[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>3
[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>3
[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>3
[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>3
[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>3
[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>5
[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>5
[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>5
[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>5
[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>5
[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>5
[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>6
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>6
[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>6
[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>6
[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>6
[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>6
[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>1
[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>1
[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>1
[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>1
[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>1
[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>1
[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>2
[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>2
[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>2
[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>2
[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>2
[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>2
[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>5
[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>5
[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>5
[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>5
[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>5
[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>5
[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>6
[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>6
[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>6
[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>6
[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>6
[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>6
[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>1
[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>1
[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>1
[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>1
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>1
[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>1
[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>2
[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>2
[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>2
[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>2
[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>2
[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>2
[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>3
[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>3
[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>3
[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>3
[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>3
[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>3
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>6
[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>6
[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>6
[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>6
[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>6
[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>6
[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>1
[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>1
[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>1
[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>1
[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>1
[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>1
[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>2
[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>2
[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>2
[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>2
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>2
[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>2
[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>3
[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>3
[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>3
[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>3
[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>3
[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>3
[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>5
[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>5
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>5
[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>5
[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>5
[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>5
[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>2
[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>2
[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>2
[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>2
[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>2
[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>2
[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>3
[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>3
[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>3
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>3
[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>3
[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>3
[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>4
[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>4
[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>4
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>4
[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>4
[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>4
[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>6
[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>6
[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>6
[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>6
[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>6
[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>6
[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>1
[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>1
[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>1
[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>1
[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>1
[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>1
[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>3
[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>3
[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>3
[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>3
[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>3
[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>3
[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>4
[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>4
[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>4
[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>4
[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>4
[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>4
[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>6
[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>6
[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>6
[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>6
[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>6
[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>6
[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>1
[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>1
[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>1
[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>1
[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>1
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>1
[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>2
[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>2
[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>2
[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>2
[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>2
[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>2
[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>4
[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>4
[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>4
[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>4
[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>4
[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>4
[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>6
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>6
[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>6
[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>6
[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>6
[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>6
[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>1
[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>1
[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>1
[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>1
[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>1
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>1
[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>2
[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>2
[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>2
[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>2
[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>2
[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>2
[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>3
[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>3
[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>3
[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>3
[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>3
[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>3
[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>6
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>6
[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>6
[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>6
[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>6
[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>6
[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>1
[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>1
[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>1
[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>1
[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>1
[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>1
[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>2
[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>2
[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>2
[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>2
[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>2
[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>2
[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>3
[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>3
[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>3
[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>3
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>3
[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>3
[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>4
[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>4
[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>4
[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>4
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>4
[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>4
[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>2
[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>2
[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>2
[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>2
[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>2
[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>2
[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>3
[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>3
[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>3
[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>3
[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>3
[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>3
[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>4
[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>4
[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>4
[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>4
[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>4
[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>4
[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>5
[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>5
[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>5
[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>5
[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>5
[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>5
[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>1
[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>1
[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>1
[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>1
[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>1
[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>1
[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>3
[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>3
[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>3
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>3
[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>3
[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>3
[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>4
[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>4
[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>4
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>4
[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>4
[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>4
[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>5
[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>5
[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>5
[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>5
[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>5
[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>5
[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>1
[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>1
[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>1
[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>1
[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>1
[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>1
[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>2
[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>2
[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>2
[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>2
[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>2
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>2
[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>4
[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>4
[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>4
[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>4
[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>4
[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>4
[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>5
[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>5
[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>5
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>5
[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>5
[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>5
[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>1
[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>1
[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>1
[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>1
[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>1
[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>1
[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>2
[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>2
[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>2
[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>2
[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>2
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>2
[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>3
[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>3
[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>3
[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>3
[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>3
[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>3
[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>5
[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>5
[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>5
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>5
[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>5
[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>5
[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>1
[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>1
[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>1
[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>1
[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>1
[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>1
[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>2
[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>2
[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>2
[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>2
[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>2
[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>2
[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>3
[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>3
[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>3
[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>3
[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>3
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>3
[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>4
[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>4
[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>4
[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>4
[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>4
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>4
                    
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Description
The upper middle entry of a permutation.
This is the entry $\sigma(\frac{n+1}{2})$ when $n$ is odd, and $\sigma(\frac{n}{2}+1)$ when $n$ is even, where $n$ is the size of the permutation $\sigma$.
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reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.