- FindStat

Identifier
Mp00254: Permutations —Inverse fireworks map⟶ Permutations
St001489: Permutations ⟶ ℤ
Values
=>
                            
                            
                            
                            
                            
                            

                        [1]=>[1]=>0
[1,2]=>[1,2]=>0
[2,1]=>[2,1]=>1
[1,2,3]=>[1,2,3]=>0
[1,3,2]=>[1,3,2]=>1
[2,1,3]=>[2,1,3]=>1
[2,3,1]=>[1,3,2]=>1
[3,1,2]=>[3,1,2]=>1
[3,2,1]=>[3,2,1]=>2
[1,2,3,4]=>[1,2,3,4]=>0
[1,2,4,3]=>[1,2,4,3]=>1
[1,3,2,4]=>[1,3,2,4]=>1
[1,3,4,2]=>[1,2,4,3]=>1
[1,4,2,3]=>[1,4,2,3]=>1
[1,4,3,2]=>[1,4,3,2]=>2
[2,1,3,4]=>[2,1,3,4]=>1
[2,1,4,3]=>[2,1,4,3]=>2
[2,3,1,4]=>[1,3,2,4]=>1
[2,3,4,1]=>[1,2,4,3]=>1
[2,4,1,3]=>[2,4,1,3]=>2
[2,4,3,1]=>[1,4,3,2]=>2
[3,1,2,4]=>[3,1,2,4]=>1
[3,1,4,2]=>[2,1,4,3]=>2
[3,2,1,4]=>[3,2,1,4]=>2
[3,2,4,1]=>[2,1,4,3]=>2
[3,4,1,2]=>[2,4,1,3]=>2
[3,4,2,1]=>[1,4,3,2]=>2
[4,1,2,3]=>[4,1,2,3]=>1
[4,1,3,2]=>[4,1,3,2]=>2
[4,2,1,3]=>[4,2,1,3]=>2
[4,2,3,1]=>[4,1,3,2]=>2
[4,3,1,2]=>[4,3,1,2]=>2
[4,3,2,1]=>[4,3,2,1]=>3
[1,2,3,4,5]=>[1,2,3,4,5]=>0
[1,2,3,5,4]=>[1,2,3,5,4]=>1
[1,2,4,3,5]=>[1,2,4,3,5]=>1
[1,2,4,5,3]=>[1,2,3,5,4]=>1
[1,2,5,3,4]=>[1,2,5,3,4]=>1
[1,2,5,4,3]=>[1,2,5,4,3]=>2
[1,3,2,4,5]=>[1,3,2,4,5]=>1
[1,3,2,5,4]=>[1,3,2,5,4]=>2
[1,3,4,2,5]=>[1,2,4,3,5]=>1
[1,3,4,5,2]=>[1,2,3,5,4]=>1
[1,3,5,2,4]=>[1,3,5,2,4]=>2
[1,3,5,4,2]=>[1,2,5,4,3]=>2
[1,4,2,3,5]=>[1,4,2,3,5]=>1
[1,4,2,5,3]=>[1,3,2,5,4]=>2
[1,4,3,2,5]=>[1,4,3,2,5]=>2
[1,4,3,5,2]=>[1,3,2,5,4]=>2
[1,4,5,2,3]=>[1,3,5,2,4]=>2
[1,4,5,3,2]=>[1,2,5,4,3]=>2
[1,5,2,3,4]=>[1,5,2,3,4]=>1
[1,5,2,4,3]=>[1,5,2,4,3]=>2
[1,5,3,2,4]=>[1,5,3,2,4]=>2
[1,5,3,4,2]=>[1,5,2,4,3]=>2
[1,5,4,2,3]=>[1,5,4,2,3]=>2
[1,5,4,3,2]=>[1,5,4,3,2]=>3
[2,1,3,4,5]=>[2,1,3,4,5]=>1
[2,1,3,5,4]=>[2,1,3,5,4]=>2
[2,1,4,3,5]=>[2,1,4,3,5]=>2
[2,1,4,5,3]=>[2,1,3,5,4]=>2
[2,1,5,3,4]=>[2,1,5,3,4]=>2
[2,1,5,4,3]=>[2,1,5,4,3]=>3
[2,3,1,4,5]=>[1,3,2,4,5]=>1
[2,3,1,5,4]=>[1,3,2,5,4]=>2
[2,3,4,1,5]=>[1,2,4,3,5]=>1
[2,3,4,5,1]=>[1,2,3,5,4]=>1
[2,3,5,1,4]=>[1,3,5,2,4]=>2
[2,3,5,4,1]=>[1,2,5,4,3]=>2
[2,4,1,3,5]=>[2,4,1,3,5]=>2
[2,4,1,5,3]=>[1,3,2,5,4]=>2
[2,4,3,1,5]=>[1,4,3,2,5]=>2
[2,4,3,5,1]=>[1,3,2,5,4]=>2
[2,4,5,1,3]=>[1,3,5,2,4]=>2
[2,4,5,3,1]=>[1,2,5,4,3]=>2
[2,5,1,3,4]=>[2,5,1,3,4]=>2
[2,5,1,4,3]=>[2,5,1,4,3]=>3
[2,5,3,1,4]=>[1,5,3,2,4]=>2
[2,5,3,4,1]=>[1,5,2,4,3]=>2
[2,5,4,1,3]=>[2,5,4,1,3]=>3
[2,5,4,3,1]=>[1,5,4,3,2]=>3
[3,1,2,4,5]=>[3,1,2,4,5]=>1
[3,1,2,5,4]=>[3,1,2,5,4]=>2
[3,1,4,2,5]=>[2,1,4,3,5]=>2
[3,1,4,5,2]=>[2,1,3,5,4]=>2
[3,1,5,2,4]=>[3,1,5,2,4]=>2
[3,1,5,4,2]=>[2,1,5,4,3]=>3
[3,2,1,4,5]=>[3,2,1,4,5]=>2
[3,2,1,5,4]=>[3,2,1,5,4]=>3
[3,2,4,1,5]=>[2,1,4,3,5]=>2
[3,2,4,5,1]=>[2,1,3,5,4]=>2
[3,2,5,1,4]=>[3,2,5,1,4]=>3
[3,2,5,4,1]=>[2,1,5,4,3]=>3
[3,4,1,2,5]=>[2,4,1,3,5]=>2
[3,4,1,5,2]=>[1,3,2,5,4]=>2
[3,4,2,1,5]=>[1,4,3,2,5]=>2
[3,4,2,5,1]=>[1,3,2,5,4]=>2
[3,4,5,1,2]=>[1,3,5,2,4]=>2
[3,4,5,2,1]=>[1,2,5,4,3]=>2
[3,5,1,2,4]=>[3,5,1,2,4]=>2
[3,5,1,4,2]=>[2,5,1,4,3]=>3
[3,5,2,1,4]=>[3,5,2,1,4]=>3
[3,5,2,4,1]=>[2,5,1,4,3]=>3
[3,5,4,1,2]=>[2,5,4,1,3]=>3
[3,5,4,2,1]=>[1,5,4,3,2]=>3
[4,1,2,3,5]=>[4,1,2,3,5]=>1
[4,1,2,5,3]=>[3,1,2,5,4]=>2
[4,1,3,2,5]=>[4,1,3,2,5]=>2
[4,1,3,5,2]=>[3,1,2,5,4]=>2
[4,1,5,2,3]=>[3,1,5,2,4]=>2
[4,1,5,3,2]=>[2,1,5,4,3]=>3
[4,2,1,3,5]=>[4,2,1,3,5]=>2
[4,2,1,5,3]=>[3,2,1,5,4]=>3
[4,2,3,1,5]=>[4,1,3,2,5]=>2
[4,2,3,5,1]=>[3,1,2,5,4]=>2
[4,2,5,1,3]=>[3,2,5,1,4]=>3
[4,2,5,3,1]=>[2,1,5,4,3]=>3
[4,3,1,2,5]=>[4,3,1,2,5]=>2
[4,3,1,5,2]=>[3,2,1,5,4]=>3
[4,3,2,1,5]=>[4,3,2,1,5]=>3
[4,3,2,5,1]=>[3,2,1,5,4]=>3
[4,3,5,1,2]=>[3,2,5,1,4]=>3
[4,3,5,2,1]=>[2,1,5,4,3]=>3
[4,5,1,2,3]=>[3,5,1,2,4]=>2
[4,5,1,3,2]=>[2,5,1,4,3]=>3
[4,5,2,1,3]=>[3,5,2,1,4]=>3
[4,5,2,3,1]=>[2,5,1,4,3]=>3
[4,5,3,1,2]=>[2,5,4,1,3]=>3
[4,5,3,2,1]=>[1,5,4,3,2]=>3
[5,1,2,3,4]=>[5,1,2,3,4]=>1
[5,1,2,4,3]=>[5,1,2,4,3]=>2
[5,1,3,2,4]=>[5,1,3,2,4]=>2
[5,1,3,4,2]=>[5,1,2,4,3]=>2
[5,1,4,2,3]=>[5,1,4,2,3]=>2
[5,1,4,3,2]=>[5,1,4,3,2]=>3
[5,2,1,3,4]=>[5,2,1,3,4]=>2
[5,2,1,4,3]=>[5,2,1,4,3]=>3
[5,2,3,1,4]=>[5,1,3,2,4]=>2
[5,2,3,4,1]=>[5,1,2,4,3]=>2
[5,2,4,1,3]=>[5,2,4,1,3]=>3
[5,2,4,3,1]=>[5,1,4,3,2]=>3
[5,3,1,2,4]=>[5,3,1,2,4]=>2
[5,3,1,4,2]=>[5,2,1,4,3]=>3
[5,3,2,1,4]=>[5,3,2,1,4]=>3
[5,3,2,4,1]=>[5,2,1,4,3]=>3
[5,3,4,1,2]=>[5,2,4,1,3]=>3
[5,3,4,2,1]=>[5,1,4,3,2]=>3
[5,4,1,2,3]=>[5,4,1,2,3]=>2
[5,4,1,3,2]=>[5,4,1,3,2]=>3
[5,4,2,1,3]=>[5,4,2,1,3]=>3
[5,4,2,3,1]=>[5,4,1,3,2]=>3
[5,4,3,1,2]=>[5,4,3,1,2]=>3
[5,4,3,2,1]=>[5,4,3,2,1]=>4
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>1
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>1
[1,2,3,5,6,4]=>[1,2,3,4,6,5]=>1
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>1
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>2
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>1
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>2
[1,2,4,5,3,6]=>[1,2,3,5,4,6]=>1
[1,2,4,5,6,3]=>[1,2,3,4,6,5]=>1
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>2
[1,2,4,6,5,3]=>[1,2,3,6,5,4]=>2
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>1
[1,2,5,3,6,4]=>[1,2,4,3,6,5]=>2
[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>2
[1,2,5,4,6,3]=>[1,2,4,3,6,5]=>2
[1,2,5,6,3,4]=>[1,2,4,6,3,5]=>2
[1,2,5,6,4,3]=>[1,2,3,6,5,4]=>2
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>1
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>2
[1,2,6,4,3,5]=>[1,2,6,4,3,5]=>2
[1,2,6,4,5,3]=>[1,2,6,3,5,4]=>2
[1,2,6,5,3,4]=>[1,2,6,5,3,4]=>2
[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>3
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>1
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>2
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>2
[1,3,2,5,6,4]=>[1,3,2,4,6,5]=>2
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>2
[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>3
[1,3,4,2,5,6]=>[1,2,4,3,5,6]=>1
[1,3,4,2,6,5]=>[1,2,4,3,6,5]=>2
[1,3,4,5,2,6]=>[1,2,3,5,4,6]=>1
[1,3,4,5,6,2]=>[1,2,3,4,6,5]=>1
[1,3,4,6,2,5]=>[1,2,4,6,3,5]=>2
[1,3,4,6,5,2]=>[1,2,3,6,5,4]=>2
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>2
[1,3,5,2,6,4]=>[1,2,4,3,6,5]=>2
[1,3,5,4,2,6]=>[1,2,5,4,3,6]=>2
[1,3,5,4,6,2]=>[1,2,4,3,6,5]=>2
[1,3,5,6,2,4]=>[1,2,4,6,3,5]=>2
[1,3,5,6,4,2]=>[1,2,3,6,5,4]=>2
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>2
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>3
[1,3,6,4,2,5]=>[1,2,6,4,3,5]=>2
[1,3,6,4,5,2]=>[1,2,6,3,5,4]=>2
[1,3,6,5,2,4]=>[1,3,6,5,2,4]=>3
[1,3,6,5,4,2]=>[1,2,6,5,4,3]=>3
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>1
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>2
[1,4,2,5,3,6]=>[1,3,2,5,4,6]=>2
[1,4,2,5,6,3]=>[1,3,2,4,6,5]=>2
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>2
[1,4,2,6,5,3]=>[1,3,2,6,5,4]=>3
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>2
[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>3
[1,4,3,5,2,6]=>[1,3,2,5,4,6]=>2
[1,4,3,5,6,2]=>[1,3,2,4,6,5]=>2
[1,4,3,6,2,5]=>[1,4,3,6,2,5]=>3
[1,4,3,6,5,2]=>[1,3,2,6,5,4]=>3
[1,4,5,2,3,6]=>[1,3,5,2,4,6]=>2
[1,4,5,2,6,3]=>[1,2,4,3,6,5]=>2
[1,4,5,3,2,6]=>[1,2,5,4,3,6]=>2
[1,4,5,3,6,2]=>[1,2,4,3,6,5]=>2
[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>2
[1,4,5,6,3,2]=>[1,2,3,6,5,4]=>2
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>2
[1,4,6,2,5,3]=>[1,3,6,2,5,4]=>3
[1,4,6,3,2,5]=>[1,4,6,3,2,5]=>3
[1,4,6,3,5,2]=>[1,3,6,2,5,4]=>3
[1,4,6,5,2,3]=>[1,3,6,5,2,4]=>3
[1,4,6,5,3,2]=>[1,2,6,5,4,3]=>3
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>1
[1,5,2,3,6,4]=>[1,4,2,3,6,5]=>2
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>2
[1,5,2,4,6,3]=>[1,4,2,3,6,5]=>2
[1,5,2,6,3,4]=>[1,4,2,6,3,5]=>2
[1,5,2,6,4,3]=>[1,3,2,6,5,4]=>3
[1,5,3,2,4,6]=>[1,5,3,2,4,6]=>2
[1,5,3,2,6,4]=>[1,4,3,2,6,5]=>3
[1,5,3,4,2,6]=>[1,5,2,4,3,6]=>2
[1,5,3,4,6,2]=>[1,4,2,3,6,5]=>2
[1,5,3,6,2,4]=>[1,4,3,6,2,5]=>3
[1,5,3,6,4,2]=>[1,3,2,6,5,4]=>3
[1,5,4,2,3,6]=>[1,5,4,2,3,6]=>2
[1,5,4,2,6,3]=>[1,4,3,2,6,5]=>3
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>3
[1,5,4,3,6,2]=>[1,4,3,2,6,5]=>3
[1,5,4,6,2,3]=>[1,4,3,6,2,5]=>3
[1,5,4,6,3,2]=>[1,3,2,6,5,4]=>3
[1,5,6,2,3,4]=>[1,4,6,2,3,5]=>2
[1,5,6,2,4,3]=>[1,3,6,2,5,4]=>3
[1,5,6,3,2,4]=>[1,4,6,3,2,5]=>3
[1,5,6,3,4,2]=>[1,3,6,2,5,4]=>3
[1,5,6,4,2,3]=>[1,3,6,5,2,4]=>3
[1,5,6,4,3,2]=>[1,2,6,5,4,3]=>3
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>1
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>2
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>2
[1,6,2,4,5,3]=>[1,6,2,3,5,4]=>2
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>2
[1,6,2,5,4,3]=>[1,6,2,5,4,3]=>3
[1,6,3,2,4,5]=>[1,6,3,2,4,5]=>2
[1,6,3,2,5,4]=>[1,6,3,2,5,4]=>3
[1,6,3,4,2,5]=>[1,6,2,4,3,5]=>2
[1,6,3,4,5,2]=>[1,6,2,3,5,4]=>2
[1,6,3,5,2,4]=>[1,6,3,5,2,4]=>3
[1,6,3,5,4,2]=>[1,6,2,5,4,3]=>3
[1,6,4,2,3,5]=>[1,6,4,2,3,5]=>2
[1,6,4,2,5,3]=>[1,6,3,2,5,4]=>3
[1,6,4,3,2,5]=>[1,6,4,3,2,5]=>3
[1,6,4,3,5,2]=>[1,6,3,2,5,4]=>3
[1,6,4,5,2,3]=>[1,6,3,5,2,4]=>3
[1,6,4,5,3,2]=>[1,6,2,5,4,3]=>3
[1,6,5,2,3,4]=>[1,6,5,2,3,4]=>2
[1,6,5,2,4,3]=>[1,6,5,2,4,3]=>3
[1,6,5,3,2,4]=>[1,6,5,3,2,4]=>3
[1,6,5,3,4,2]=>[1,6,5,2,4,3]=>3
[1,6,5,4,2,3]=>[1,6,5,4,2,3]=>3
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>4
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>1
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>2
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>2
[2,1,3,5,6,4]=>[2,1,3,4,6,5]=>2
[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>2
[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>3
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>2
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>3
[2,1,4,5,3,6]=>[2,1,3,5,4,6]=>2
[2,1,4,5,6,3]=>[2,1,3,4,6,5]=>2
[2,1,4,6,3,5]=>[2,1,4,6,3,5]=>3
[2,1,4,6,5,3]=>[2,1,3,6,5,4]=>3
[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>2
[2,1,5,3,6,4]=>[2,1,4,3,6,5]=>3
[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>3
[2,1,5,4,6,3]=>[2,1,4,3,6,5]=>3
[2,1,5,6,3,4]=>[2,1,4,6,3,5]=>3
[2,1,5,6,4,3]=>[2,1,3,6,5,4]=>3
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>2
[2,1,6,3,5,4]=>[2,1,6,3,5,4]=>3
[2,1,6,4,3,5]=>[2,1,6,4,3,5]=>3
[2,1,6,4,5,3]=>[2,1,6,3,5,4]=>3
[2,1,6,5,3,4]=>[2,1,6,5,3,4]=>3
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>4
[2,3,1,4,5,6]=>[1,3,2,4,5,6]=>1
[2,3,1,4,6,5]=>[1,3,2,4,6,5]=>2
[2,3,1,5,4,6]=>[1,3,2,5,4,6]=>2
[2,3,1,5,6,4]=>[1,3,2,4,6,5]=>2
[2,3,1,6,4,5]=>[1,3,2,6,4,5]=>2
[2,3,1,6,5,4]=>[1,3,2,6,5,4]=>3
[2,3,4,1,5,6]=>[1,2,4,3,5,6]=>1
[2,3,4,1,6,5]=>[1,2,4,3,6,5]=>2
[2,3,4,5,1,6]=>[1,2,3,5,4,6]=>1
[2,3,4,5,6,1]=>[1,2,3,4,6,5]=>1
[2,3,4,6,1,5]=>[1,2,4,6,3,5]=>2
[2,3,4,6,5,1]=>[1,2,3,6,5,4]=>2
[2,3,5,1,4,6]=>[1,3,5,2,4,6]=>2
[2,3,5,1,6,4]=>[1,2,4,3,6,5]=>2
[2,3,5,4,1,6]=>[1,2,5,4,3,6]=>2
[2,3,5,4,6,1]=>[1,2,4,3,6,5]=>2
[2,3,5,6,1,4]=>[1,2,4,6,3,5]=>2
[2,3,5,6,4,1]=>[1,2,3,6,5,4]=>2
[2,3,6,1,4,5]=>[1,3,6,2,4,5]=>2
[2,3,6,1,5,4]=>[1,3,6,2,5,4]=>3
[2,3,6,4,1,5]=>[1,2,6,4,3,5]=>2
[2,3,6,4,5,1]=>[1,2,6,3,5,4]=>2
[2,3,6,5,1,4]=>[1,3,6,5,2,4]=>3
[2,3,6,5,4,1]=>[1,2,6,5,4,3]=>3
[2,4,1,3,5,6]=>[2,4,1,3,5,6]=>2
[2,4,1,3,6,5]=>[2,4,1,3,6,5]=>3
[2,4,1,5,3,6]=>[1,3,2,5,4,6]=>2
[2,4,1,5,6,3]=>[1,3,2,4,6,5]=>2
[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>3
[2,4,1,6,5,3]=>[1,3,2,6,5,4]=>3
[2,4,3,1,5,6]=>[1,4,3,2,5,6]=>2
[2,4,3,1,6,5]=>[1,4,3,2,6,5]=>3
[2,4,3,5,1,6]=>[1,3,2,5,4,6]=>2
[2,4,3,5,6,1]=>[1,3,2,4,6,5]=>2
[2,4,3,6,1,5]=>[1,4,3,6,2,5]=>3
[2,4,3,6,5,1]=>[1,3,2,6,5,4]=>3
[2,4,5,1,3,6]=>[1,3,5,2,4,6]=>2
[2,4,5,1,6,3]=>[1,2,4,3,6,5]=>2
[2,4,5,3,1,6]=>[1,2,5,4,3,6]=>2
[2,4,5,3,6,1]=>[1,2,4,3,6,5]=>2
[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>2
[2,4,5,6,3,1]=>[1,2,3,6,5,4]=>2
[2,4,6,1,3,5]=>[2,4,6,1,3,5]=>3
[2,4,6,1,5,3]=>[1,3,6,2,5,4]=>3
[2,4,6,3,1,5]=>[1,4,6,3,2,5]=>3
[2,4,6,3,5,1]=>[1,3,6,2,5,4]=>3
[2,4,6,5,1,3]=>[1,3,6,5,2,4]=>3
[2,4,6,5,3,1]=>[1,2,6,5,4,3]=>3
[2,5,1,3,4,6]=>[2,5,1,3,4,6]=>2
[2,5,1,3,6,4]=>[2,4,1,3,6,5]=>3
[2,5,1,4,3,6]=>[2,5,1,4,3,6]=>3
[2,5,1,4,6,3]=>[2,4,1,3,6,5]=>3
[2,5,1,6,3,4]=>[2,4,1,6,3,5]=>3
[2,5,1,6,4,3]=>[1,3,2,6,5,4]=>3
[2,5,3,1,4,6]=>[1,5,3,2,4,6]=>2
[2,5,3,1,6,4]=>[1,4,3,2,6,5]=>3
[2,5,3,4,1,6]=>[1,5,2,4,3,6]=>2
[2,5,3,4,6,1]=>[1,4,2,3,6,5]=>2
[2,5,3,6,1,4]=>[1,4,3,6,2,5]=>3
[2,5,3,6,4,1]=>[1,3,2,6,5,4]=>3
[2,5,4,1,3,6]=>[2,5,4,1,3,6]=>3
[2,5,4,1,6,3]=>[1,4,3,2,6,5]=>3
[2,5,4,3,1,6]=>[1,5,4,3,2,6]=>3
[2,5,4,3,6,1]=>[1,4,3,2,6,5]=>3
[2,5,4,6,1,3]=>[1,4,3,6,2,5]=>3
[2,5,4,6,3,1]=>[1,3,2,6,5,4]=>3
[2,5,6,1,3,4]=>[2,4,6,1,3,5]=>3
[2,5,6,1,4,3]=>[1,3,6,2,5,4]=>3
[2,5,6,3,1,4]=>[1,4,6,3,2,5]=>3
[2,5,6,3,4,1]=>[1,3,6,2,5,4]=>3
[2,5,6,4,1,3]=>[1,3,6,5,2,4]=>3
[2,5,6,4,3,1]=>[1,2,6,5,4,3]=>3
[2,6,1,3,4,5]=>[2,6,1,3,4,5]=>2
[2,6,1,3,5,4]=>[2,6,1,3,5,4]=>3
[2,6,1,4,3,5]=>[2,6,1,4,3,5]=>3
[2,6,1,4,5,3]=>[2,6,1,3,5,4]=>3
[2,6,1,5,3,4]=>[2,6,1,5,3,4]=>3
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>4
[2,6,3,1,4,5]=>[1,6,3,2,4,5]=>2
[2,6,3,1,5,4]=>[1,6,3,2,5,4]=>3
[2,6,3,4,1,5]=>[1,6,2,4,3,5]=>2
[2,6,3,4,5,1]=>[1,6,2,3,5,4]=>2
[2,6,3,5,1,4]=>[1,6,3,5,2,4]=>3
[2,6,3,5,4,1]=>[1,6,2,5,4,3]=>3
[2,6,4,1,3,5]=>[2,6,4,1,3,5]=>3
[2,6,4,1,5,3]=>[1,6,3,2,5,4]=>3
[2,6,4,3,1,5]=>[1,6,4,3,2,5]=>3
[2,6,4,3,5,1]=>[1,6,3,2,5,4]=>3
[2,6,4,5,1,3]=>[1,6,3,5,2,4]=>3
[2,6,4,5,3,1]=>[1,6,2,5,4,3]=>3
[2,6,5,1,3,4]=>[2,6,5,1,3,4]=>3
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>4
[2,6,5,3,1,4]=>[1,6,5,3,2,4]=>3
[2,6,5,3,4,1]=>[1,6,5,2,4,3]=>3
[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>4
[2,6,5,4,3,1]=>[1,6,5,4,3,2]=>4
[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>1
[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>2
[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>2
[3,1,2,5,6,4]=>[3,1,2,4,6,5]=>2
[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>2
[3,1,2,6,5,4]=>[3,1,2,6,5,4]=>3
[3,1,4,2,5,6]=>[2,1,4,3,5,6]=>2
[3,1,4,2,6,5]=>[2,1,4,3,6,5]=>3
[3,1,4,5,2,6]=>[2,1,3,5,4,6]=>2
[3,1,4,5,6,2]=>[2,1,3,4,6,5]=>2
[3,1,4,6,2,5]=>[2,1,4,6,3,5]=>3
[3,1,4,6,5,2]=>[2,1,3,6,5,4]=>3
[3,1,5,2,4,6]=>[3,1,5,2,4,6]=>2
[3,1,5,2,6,4]=>[2,1,4,3,6,5]=>3
[3,1,5,4,2,6]=>[2,1,5,4,3,6]=>3
[3,1,5,4,6,2]=>[2,1,4,3,6,5]=>3
[3,1,5,6,2,4]=>[2,1,4,6,3,5]=>3
[3,1,5,6,4,2]=>[2,1,3,6,5,4]=>3
[3,1,6,2,4,5]=>[3,1,6,2,4,5]=>2
[3,1,6,2,5,4]=>[3,1,6,2,5,4]=>3
[3,1,6,4,2,5]=>[2,1,6,4,3,5]=>3
[3,1,6,4,5,2]=>[2,1,6,3,5,4]=>3
[3,1,6,5,2,4]=>[3,1,6,5,2,4]=>3
[3,1,6,5,4,2]=>[2,1,6,5,4,3]=>4
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>2
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>3
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>3
[3,2,1,5,6,4]=>[3,2,1,4,6,5]=>3
[3,2,1,6,4,5]=>[3,2,1,6,4,5]=>3
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>4
[3,2,4,1,5,6]=>[2,1,4,3,5,6]=>2
[3,2,4,1,6,5]=>[2,1,4,3,6,5]=>3
[3,2,4,5,1,6]=>[2,1,3,5,4,6]=>2
[3,2,4,5,6,1]=>[2,1,3,4,6,5]=>2
[3,2,4,6,1,5]=>[2,1,4,6,3,5]=>3
[3,2,4,6,5,1]=>[2,1,3,6,5,4]=>3
[3,2,5,1,4,6]=>[3,2,5,1,4,6]=>3
[3,2,5,1,6,4]=>[2,1,4,3,6,5]=>3
[3,2,5,4,1,6]=>[2,1,5,4,3,6]=>3
[3,2,5,4,6,1]=>[2,1,4,3,6,5]=>3
[3,2,5,6,1,4]=>[2,1,4,6,3,5]=>3
[3,2,5,6,4,1]=>[2,1,3,6,5,4]=>3
[3,2,6,1,4,5]=>[3,2,6,1,4,5]=>3
[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>4
[3,2,6,4,1,5]=>[2,1,6,4,3,5]=>3
[3,2,6,4,5,1]=>[2,1,6,3,5,4]=>3
[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>4
[3,2,6,5,4,1]=>[2,1,6,5,4,3]=>4
[3,4,1,2,5,6]=>[2,4,1,3,5,6]=>2
[3,4,1,2,6,5]=>[2,4,1,3,6,5]=>3
[3,4,1,5,2,6]=>[1,3,2,5,4,6]=>2
[3,4,1,5,6,2]=>[1,3,2,4,6,5]=>2
[3,4,1,6,2,5]=>[2,4,1,6,3,5]=>3
[3,4,1,6,5,2]=>[1,3,2,6,5,4]=>3
[3,4,2,1,5,6]=>[1,4,3,2,5,6]=>2
[3,4,2,1,6,5]=>[1,4,3,2,6,5]=>3
[3,4,2,5,1,6]=>[1,3,2,5,4,6]=>2
[3,4,2,5,6,1]=>[1,3,2,4,6,5]=>2
[3,4,2,6,1,5]=>[1,4,3,6,2,5]=>3
[3,4,2,6,5,1]=>[1,3,2,6,5,4]=>3
[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>2
[3,4,5,1,6,2]=>[1,2,4,3,6,5]=>2
[3,4,5,2,1,6]=>[1,2,5,4,3,6]=>2
[3,4,5,2,6,1]=>[1,2,4,3,6,5]=>2
[3,4,5,6,1,2]=>[1,2,4,6,3,5]=>2
[3,4,5,6,2,1]=>[1,2,3,6,5,4]=>2
[3,4,6,1,2,5]=>[2,4,6,1,3,5]=>3
[3,4,6,1,5,2]=>[1,3,6,2,5,4]=>3
[3,4,6,2,1,5]=>[1,4,6,3,2,5]=>3
[3,4,6,2,5,1]=>[1,3,6,2,5,4]=>3
[3,4,6,5,1,2]=>[1,3,6,5,2,4]=>3
[3,4,6,5,2,1]=>[1,2,6,5,4,3]=>3
[3,5,1,2,4,6]=>[3,5,1,2,4,6]=>2
[3,5,1,2,6,4]=>[2,4,1,3,6,5]=>3
[3,5,1,4,2,6]=>[2,5,1,4,3,6]=>3
[3,5,1,4,6,2]=>[2,4,1,3,6,5]=>3
[3,5,1,6,2,4]=>[2,4,1,6,3,5]=>3
[3,5,1,6,4,2]=>[1,3,2,6,5,4]=>3
[3,5,2,1,4,6]=>[3,5,2,1,4,6]=>3
[3,5,2,1,6,4]=>[1,4,3,2,6,5]=>3
[3,5,2,4,1,6]=>[2,5,1,4,3,6]=>3
[3,5,2,4,6,1]=>[2,4,1,3,6,5]=>3
[3,5,2,6,1,4]=>[1,4,3,6,2,5]=>3
[3,5,2,6,4,1]=>[1,3,2,6,5,4]=>3
[3,5,4,1,2,6]=>[2,5,4,1,3,6]=>3
[3,5,4,1,6,2]=>[1,4,3,2,6,5]=>3
[3,5,4,2,1,6]=>[1,5,4,3,2,6]=>3
[3,5,4,2,6,1]=>[1,4,3,2,6,5]=>3
[3,5,4,6,1,2]=>[1,4,3,6,2,5]=>3
[3,5,4,6,2,1]=>[1,3,2,6,5,4]=>3
[3,5,6,1,2,4]=>[2,4,6,1,3,5]=>3
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>3
[3,5,6,2,1,4]=>[1,4,6,3,2,5]=>3
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>3
[3,5,6,4,1,2]=>[1,3,6,5,2,4]=>3
[3,5,6,4,2,1]=>[1,2,6,5,4,3]=>3
[3,6,1,2,4,5]=>[3,6,1,2,4,5]=>2
[3,6,1,2,5,4]=>[3,6,1,2,5,4]=>3
[3,6,1,4,2,5]=>[2,6,1,4,3,5]=>3
[3,6,1,4,5,2]=>[2,6,1,3,5,4]=>3
[3,6,1,5,2,4]=>[3,6,1,5,2,4]=>3
[3,6,1,5,4,2]=>[2,6,1,5,4,3]=>4
[3,6,2,1,4,5]=>[3,6,2,1,4,5]=>3
[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>4
[3,6,2,4,1,5]=>[2,6,1,4,3,5]=>3
[3,6,2,4,5,1]=>[2,6,1,3,5,4]=>3
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>4
[3,6,2,5,4,1]=>[2,6,1,5,4,3]=>4
[3,6,4,1,2,5]=>[2,6,4,1,3,5]=>3
[3,6,4,1,5,2]=>[1,6,3,2,5,4]=>3
[3,6,4,2,1,5]=>[1,6,4,3,2,5]=>3
[3,6,4,2,5,1]=>[1,6,3,2,5,4]=>3
[3,6,4,5,1,2]=>[1,6,3,5,2,4]=>3
[3,6,4,5,2,1]=>[1,6,2,5,4,3]=>3
[3,6,5,1,2,4]=>[3,6,5,1,2,4]=>3
[3,6,5,1,4,2]=>[2,6,5,1,4,3]=>4
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>4
[3,6,5,2,4,1]=>[2,6,5,1,4,3]=>4
[3,6,5,4,1,2]=>[2,6,5,4,1,3]=>4
[3,6,5,4,2,1]=>[1,6,5,4,3,2]=>4
[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>1
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>2
[4,1,2,5,3,6]=>[3,1,2,5,4,6]=>2
[4,1,2,5,6,3]=>[3,1,2,4,6,5]=>2
[4,1,2,6,3,5]=>[4,1,2,6,3,5]=>2
[4,1,2,6,5,3]=>[3,1,2,6,5,4]=>3
[4,1,3,2,5,6]=>[4,1,3,2,5,6]=>2
[4,1,3,2,6,5]=>[4,1,3,2,6,5]=>3
[4,1,3,5,2,6]=>[3,1,2,5,4,6]=>2
[4,1,3,5,6,2]=>[3,1,2,4,6,5]=>2
[4,1,3,6,2,5]=>[4,1,3,6,2,5]=>3
[4,1,3,6,5,2]=>[3,1,2,6,5,4]=>3
[4,1,5,2,3,6]=>[3,1,5,2,4,6]=>2
[4,1,5,2,6,3]=>[2,1,4,3,6,5]=>3
[4,1,5,3,2,6]=>[2,1,5,4,3,6]=>3
[4,1,5,3,6,2]=>[2,1,4,3,6,5]=>3
[4,1,5,6,2,3]=>[2,1,4,6,3,5]=>3
[4,1,5,6,3,2]=>[2,1,3,6,5,4]=>3
[4,1,6,2,3,5]=>[4,1,6,2,3,5]=>2
[4,1,6,2,5,3]=>[3,1,6,2,5,4]=>3
[4,1,6,3,2,5]=>[4,1,6,3,2,5]=>3
[4,1,6,3,5,2]=>[3,1,6,2,5,4]=>3
[4,1,6,5,2,3]=>[3,1,6,5,2,4]=>3
[4,1,6,5,3,2]=>[2,1,6,5,4,3]=>4
[4,2,1,3,5,6]=>[4,2,1,3,5,6]=>2
[4,2,1,3,6,5]=>[4,2,1,3,6,5]=>3
[4,2,1,5,3,6]=>[3,2,1,5,4,6]=>3
[4,2,1,5,6,3]=>[3,2,1,4,6,5]=>3
[4,2,1,6,3,5]=>[4,2,1,6,3,5]=>3
[4,2,1,6,5,3]=>[3,2,1,6,5,4]=>4
[4,2,3,1,5,6]=>[4,1,3,2,5,6]=>2
[4,2,3,1,6,5]=>[4,1,3,2,6,5]=>3
[4,2,3,5,1,6]=>[3,1,2,5,4,6]=>2
[4,2,3,5,6,1]=>[3,1,2,4,6,5]=>2
[4,2,3,6,1,5]=>[4,1,3,6,2,5]=>3
[4,2,3,6,5,1]=>[3,1,2,6,5,4]=>3
[4,2,5,1,3,6]=>[3,2,5,1,4,6]=>3
[4,2,5,1,6,3]=>[2,1,4,3,6,5]=>3
[4,2,5,3,1,6]=>[2,1,5,4,3,6]=>3
[4,2,5,3,6,1]=>[2,1,4,3,6,5]=>3
[4,2,5,6,1,3]=>[2,1,4,6,3,5]=>3
[4,2,5,6,3,1]=>[2,1,3,6,5,4]=>3
[4,2,6,1,3,5]=>[4,2,6,1,3,5]=>3
[4,2,6,1,5,3]=>[3,2,6,1,5,4]=>4
[4,2,6,3,1,5]=>[4,1,6,3,2,5]=>3
[4,2,6,3,5,1]=>[3,1,6,2,5,4]=>3
[4,2,6,5,1,3]=>[3,2,6,5,1,4]=>4
[4,2,6,5,3,1]=>[2,1,6,5,4,3]=>4
[4,3,1,2,5,6]=>[4,3,1,2,5,6]=>2
[4,3,1,2,6,5]=>[4,3,1,2,6,5]=>3
[4,3,1,5,2,6]=>[3,2,1,5,4,6]=>3
[4,3,1,5,6,2]=>[3,2,1,4,6,5]=>3
[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>3
[4,3,1,6,5,2]=>[3,2,1,6,5,4]=>4
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>3
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>4
[4,3,2,5,1,6]=>[3,2,1,5,4,6]=>3
[4,3,2,5,6,1]=>[3,2,1,4,6,5]=>3
[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>4
[4,3,2,6,5,1]=>[3,2,1,6,5,4]=>4
[4,3,5,1,2,6]=>[3,2,5,1,4,6]=>3
[4,3,5,1,6,2]=>[2,1,4,3,6,5]=>3
[4,3,5,2,1,6]=>[2,1,5,4,3,6]=>3
[4,3,5,2,6,1]=>[2,1,4,3,6,5]=>3
[4,3,5,6,1,2]=>[2,1,4,6,3,5]=>3
[4,3,5,6,2,1]=>[2,1,3,6,5,4]=>3
[4,3,6,1,2,5]=>[4,3,6,1,2,5]=>3
[4,3,6,1,5,2]=>[3,2,6,1,5,4]=>4
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>4
[4,3,6,2,5,1]=>[3,2,6,1,5,4]=>4
[4,3,6,5,1,2]=>[3,2,6,5,1,4]=>4
[4,3,6,5,2,1]=>[2,1,6,5,4,3]=>4
[4,5,1,2,3,6]=>[3,5,1,2,4,6]=>2
[4,5,1,2,6,3]=>[2,4,1,3,6,5]=>3
[4,5,1,3,2,6]=>[2,5,1,4,3,6]=>3
[4,5,1,3,6,2]=>[2,4,1,3,6,5]=>3
[4,5,1,6,2,3]=>[2,4,1,6,3,5]=>3
[4,5,1,6,3,2]=>[1,3,2,6,5,4]=>3
[4,5,2,1,3,6]=>[3,5,2,1,4,6]=>3
[4,5,2,1,6,3]=>[1,4,3,2,6,5]=>3
[4,5,2,3,1,6]=>[2,5,1,4,3,6]=>3
[4,5,2,3,6,1]=>[2,4,1,3,6,5]=>3
[4,5,2,6,1,3]=>[1,4,3,6,2,5]=>3
[4,5,2,6,3,1]=>[1,3,2,6,5,4]=>3
[4,5,3,1,2,6]=>[2,5,4,1,3,6]=>3
[4,5,3,1,6,2]=>[1,4,3,2,6,5]=>3
[4,5,3,2,1,6]=>[1,5,4,3,2,6]=>3
[4,5,3,2,6,1]=>[1,4,3,2,6,5]=>3
[4,5,3,6,1,2]=>[1,4,3,6,2,5]=>3
[4,5,3,6,2,1]=>[1,3,2,6,5,4]=>3
[4,5,6,1,2,3]=>[2,4,6,1,3,5]=>3
[4,5,6,1,3,2]=>[1,3,6,2,5,4]=>3
[4,5,6,2,1,3]=>[1,4,6,3,2,5]=>3
[4,5,6,2,3,1]=>[1,3,6,2,5,4]=>3
[4,5,6,3,1,2]=>[1,3,6,5,2,4]=>3
[4,5,6,3,2,1]=>[1,2,6,5,4,3]=>3
[4,6,1,2,3,5]=>[4,6,1,2,3,5]=>2
[4,6,1,2,5,3]=>[3,6,1,2,5,4]=>3
[4,6,1,3,2,5]=>[4,6,1,3,2,5]=>3
[4,6,1,3,5,2]=>[3,6,1,2,5,4]=>3
[4,6,1,5,2,3]=>[3,6,1,5,2,4]=>3
[4,6,1,5,3,2]=>[2,6,1,5,4,3]=>4
[4,6,2,1,3,5]=>[4,6,2,1,3,5]=>3
[4,6,2,1,5,3]=>[3,6,2,1,5,4]=>4
[4,6,2,3,1,5]=>[4,6,1,3,2,5]=>3
[4,6,2,3,5,1]=>[3,6,1,2,5,4]=>3
[4,6,2,5,1,3]=>[3,6,2,5,1,4]=>4
[4,6,2,5,3,1]=>[2,6,1,5,4,3]=>4
[4,6,3,1,2,5]=>[4,6,3,1,2,5]=>3
[4,6,3,1,5,2]=>[3,6,2,1,5,4]=>4
[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>4
[4,6,3,2,5,1]=>[3,6,2,1,5,4]=>4
[4,6,3,5,1,2]=>[3,6,2,5,1,4]=>4
[4,6,3,5,2,1]=>[2,6,1,5,4,3]=>4
[4,6,5,1,2,3]=>[3,6,5,1,2,4]=>3
[4,6,5,1,3,2]=>[2,6,5,1,4,3]=>4
[4,6,5,2,1,3]=>[3,6,5,2,1,4]=>4
[4,6,5,2,3,1]=>[2,6,5,1,4,3]=>4
[4,6,5,3,1,2]=>[2,6,5,4,1,3]=>4
[4,6,5,3,2,1]=>[1,6,5,4,3,2]=>4
[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>1
[5,1,2,3,6,4]=>[4,1,2,3,6,5]=>2
[5,1,2,4,3,6]=>[5,1,2,4,3,6]=>2
[5,1,2,4,6,3]=>[4,1,2,3,6,5]=>2
[5,1,2,6,3,4]=>[4,1,2,6,3,5]=>2
[5,1,2,6,4,3]=>[3,1,2,6,5,4]=>3
[5,1,3,2,4,6]=>[5,1,3,2,4,6]=>2
[5,1,3,2,6,4]=>[4,1,3,2,6,5]=>3
[5,1,3,4,2,6]=>[5,1,2,4,3,6]=>2
[5,1,3,4,6,2]=>[4,1,2,3,6,5]=>2
[5,1,3,6,2,4]=>[4,1,3,6,2,5]=>3
[5,1,3,6,4,2]=>[3,1,2,6,5,4]=>3
[5,1,4,2,3,6]=>[5,1,4,2,3,6]=>2
[5,1,4,2,6,3]=>[4,1,3,2,6,5]=>3
[5,1,4,3,2,6]=>[5,1,4,3,2,6]=>3
[5,1,4,3,6,2]=>[4,1,3,2,6,5]=>3
[5,1,4,6,2,3]=>[4,1,3,6,2,5]=>3
[5,1,4,6,3,2]=>[3,1,2,6,5,4]=>3
[5,1,6,2,3,4]=>[4,1,6,2,3,5]=>2
[5,1,6,2,4,3]=>[3,1,6,2,5,4]=>3
[5,1,6,3,2,4]=>[4,1,6,3,2,5]=>3
[5,1,6,3,4,2]=>[3,1,6,2,5,4]=>3
[5,1,6,4,2,3]=>[3,1,6,5,2,4]=>3
[5,1,6,4,3,2]=>[2,1,6,5,4,3]=>4
[5,2,1,3,4,6]=>[5,2,1,3,4,6]=>2
[5,2,1,3,6,4]=>[4,2,1,3,6,5]=>3
[5,2,1,4,3,6]=>[5,2,1,4,3,6]=>3
[5,2,1,4,6,3]=>[4,2,1,3,6,5]=>3
[5,2,1,6,3,4]=>[4,2,1,6,3,5]=>3
[5,2,1,6,4,3]=>[3,2,1,6,5,4]=>4
[5,2,3,1,4,6]=>[5,1,3,2,4,6]=>2
[5,2,3,1,6,4]=>[4,1,3,2,6,5]=>3
[5,2,3,4,1,6]=>[5,1,2,4,3,6]=>2
[5,2,3,4,6,1]=>[4,1,2,3,6,5]=>2
[5,2,3,6,1,4]=>[4,1,3,6,2,5]=>3
[5,2,3,6,4,1]=>[3,1,2,6,5,4]=>3
[5,2,4,1,3,6]=>[5,2,4,1,3,6]=>3
[5,2,4,1,6,3]=>[4,1,3,2,6,5]=>3
[5,2,4,3,1,6]=>[5,1,4,3,2,6]=>3
[5,2,4,3,6,1]=>[4,1,3,2,6,5]=>3
[5,2,4,6,1,3]=>[4,1,3,6,2,5]=>3
[5,2,4,6,3,1]=>[3,1,2,6,5,4]=>3
[5,2,6,1,3,4]=>[4,2,6,1,3,5]=>3
[5,2,6,1,4,3]=>[3,2,6,1,5,4]=>4
[5,2,6,3,1,4]=>[4,1,6,3,2,5]=>3
[5,2,6,3,4,1]=>[3,1,6,2,5,4]=>3
[5,2,6,4,1,3]=>[3,2,6,5,1,4]=>4
[5,2,6,4,3,1]=>[2,1,6,5,4,3]=>4
[5,3,1,2,4,6]=>[5,3,1,2,4,6]=>2
[5,3,1,2,6,4]=>[4,3,1,2,6,5]=>3
[5,3,1,4,2,6]=>[5,2,1,4,3,6]=>3
[5,3,1,4,6,2]=>[4,2,1,3,6,5]=>3
[5,3,1,6,2,4]=>[4,3,1,6,2,5]=>3
[5,3,1,6,4,2]=>[3,2,1,6,5,4]=>4
[5,3,2,1,4,6]=>[5,3,2,1,4,6]=>3
[5,3,2,1,6,4]=>[4,3,2,1,6,5]=>4
[5,3,2,4,1,6]=>[5,2,1,4,3,6]=>3
[5,3,2,4,6,1]=>[4,2,1,3,6,5]=>3
[5,3,2,6,1,4]=>[4,3,2,6,1,5]=>4
[5,3,2,6,4,1]=>[3,2,1,6,5,4]=>4
[5,3,4,1,2,6]=>[5,2,4,1,3,6]=>3
[5,3,4,1,6,2]=>[4,1,3,2,6,5]=>3
[5,3,4,2,1,6]=>[5,1,4,3,2,6]=>3
[5,3,4,2,6,1]=>[4,1,3,2,6,5]=>3
[5,3,4,6,1,2]=>[4,1,3,6,2,5]=>3
[5,3,4,6,2,1]=>[3,1,2,6,5,4]=>3
[5,3,6,1,2,4]=>[4,3,6,1,2,5]=>3
[5,3,6,1,4,2]=>[3,2,6,1,5,4]=>4
[5,3,6,2,1,4]=>[4,3,6,2,1,5]=>4
[5,3,6,2,4,1]=>[3,2,6,1,5,4]=>4
[5,3,6,4,1,2]=>[3,2,6,5,1,4]=>4
[5,3,6,4,2,1]=>[2,1,6,5,4,3]=>4
[5,4,1,2,3,6]=>[5,4,1,2,3,6]=>2
[5,4,1,2,6,3]=>[4,3,1,2,6,5]=>3
[5,4,1,3,2,6]=>[5,4,1,3,2,6]=>3
[5,4,1,3,6,2]=>[4,3,1,2,6,5]=>3
[5,4,1,6,2,3]=>[4,3,1,6,2,5]=>3
[5,4,1,6,3,2]=>[3,2,1,6,5,4]=>4
[5,4,2,1,3,6]=>[5,4,2,1,3,6]=>3
[5,4,2,1,6,3]=>[4,3,2,1,6,5]=>4
[5,4,2,3,1,6]=>[5,4,1,3,2,6]=>3
[5,4,2,3,6,1]=>[4,3,1,2,6,5]=>3
[5,4,2,6,1,3]=>[4,3,2,6,1,5]=>4
[5,4,2,6,3,1]=>[3,2,1,6,5,4]=>4
[5,4,3,1,2,6]=>[5,4,3,1,2,6]=>3
[5,4,3,1,6,2]=>[4,3,2,1,6,5]=>4
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>4
[5,4,3,2,6,1]=>[4,3,2,1,6,5]=>4
[5,4,3,6,1,2]=>[4,3,2,6,1,5]=>4
[5,4,3,6,2,1]=>[3,2,1,6,5,4]=>4
[5,4,6,1,2,3]=>[4,3,6,1,2,5]=>3
[5,4,6,1,3,2]=>[3,2,6,1,5,4]=>4
[5,4,6,2,1,3]=>[4,3,6,2,1,5]=>4
[5,4,6,2,3,1]=>[3,2,6,1,5,4]=>4
[5,4,6,3,1,2]=>[3,2,6,5,1,4]=>4
[5,4,6,3,2,1]=>[2,1,6,5,4,3]=>4
[5,6,1,2,3,4]=>[4,6,1,2,3,5]=>2
[5,6,1,2,4,3]=>[3,6,1,2,5,4]=>3
[5,6,1,3,2,4]=>[4,6,1,3,2,5]=>3
[5,6,1,3,4,2]=>[3,6,1,2,5,4]=>3
[5,6,1,4,2,3]=>[3,6,1,5,2,4]=>3
[5,6,1,4,3,2]=>[2,6,1,5,4,3]=>4
[5,6,2,1,3,4]=>[4,6,2,1,3,5]=>3
[5,6,2,1,4,3]=>[3,6,2,1,5,4]=>4
[5,6,2,3,1,4]=>[4,6,1,3,2,5]=>3
[5,6,2,3,4,1]=>[3,6,1,2,5,4]=>3
[5,6,2,4,1,3]=>[3,6,2,5,1,4]=>4
[5,6,2,4,3,1]=>[2,6,1,5,4,3]=>4
[5,6,3,1,2,4]=>[4,6,3,1,2,5]=>3
[5,6,3,1,4,2]=>[3,6,2,1,5,4]=>4
[5,6,3,2,1,4]=>[4,6,3,2,1,5]=>4
[5,6,3,2,4,1]=>[3,6,2,1,5,4]=>4
[5,6,3,4,1,2]=>[3,6,2,5,1,4]=>4
[5,6,3,4,2,1]=>[2,6,1,5,4,3]=>4
[5,6,4,1,2,3]=>[3,6,5,1,2,4]=>3
[5,6,4,1,3,2]=>[2,6,5,1,4,3]=>4
[5,6,4,2,1,3]=>[3,6,5,2,1,4]=>4
[5,6,4,2,3,1]=>[2,6,5,1,4,3]=>4
[5,6,4,3,1,2]=>[2,6,5,4,1,3]=>4
[5,6,4,3,2,1]=>[1,6,5,4,3,2]=>4
[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>1
[6,1,2,3,5,4]=>[6,1,2,3,5,4]=>2
[6,1,2,4,3,5]=>[6,1,2,4,3,5]=>2
[6,1,2,4,5,3]=>[6,1,2,3,5,4]=>2
[6,1,2,5,3,4]=>[6,1,2,5,3,4]=>2
[6,1,2,5,4,3]=>[6,1,2,5,4,3]=>3
[6,1,3,2,4,5]=>[6,1,3,2,4,5]=>2
[6,1,3,2,5,4]=>[6,1,3,2,5,4]=>3
[6,1,3,4,2,5]=>[6,1,2,4,3,5]=>2
[6,1,3,4,5,2]=>[6,1,2,3,5,4]=>2
[6,1,3,5,2,4]=>[6,1,3,5,2,4]=>3
[6,1,3,5,4,2]=>[6,1,2,5,4,3]=>3
[6,1,4,2,3,5]=>[6,1,4,2,3,5]=>2
[6,1,4,2,5,3]=>[6,1,3,2,5,4]=>3
[6,1,4,3,2,5]=>[6,1,4,3,2,5]=>3
[6,1,4,3,5,2]=>[6,1,3,2,5,4]=>3
[6,1,4,5,2,3]=>[6,1,3,5,2,4]=>3
[6,1,4,5,3,2]=>[6,1,2,5,4,3]=>3
[6,1,5,2,3,4]=>[6,1,5,2,3,4]=>2
[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>3
[6,1,5,3,2,4]=>[6,1,5,3,2,4]=>3
[6,1,5,3,4,2]=>[6,1,5,2,4,3]=>3
[6,1,5,4,2,3]=>[6,1,5,4,2,3]=>3
[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>4
[6,2,1,3,4,5]=>[6,2,1,3,4,5]=>2
[6,2,1,3,5,4]=>[6,2,1,3,5,4]=>3
[6,2,1,4,3,5]=>[6,2,1,4,3,5]=>3
[6,2,1,4,5,3]=>[6,2,1,3,5,4]=>3
[6,2,1,5,3,4]=>[6,2,1,5,3,4]=>3
[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>4
[6,2,3,1,4,5]=>[6,1,3,2,4,5]=>2
[6,2,3,1,5,4]=>[6,1,3,2,5,4]=>3
[6,2,3,4,1,5]=>[6,1,2,4,3,5]=>2
[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>2
[6,2,3,5,1,4]=>[6,1,3,5,2,4]=>3
[6,2,3,5,4,1]=>[6,1,2,5,4,3]=>3
[6,2,4,1,3,5]=>[6,2,4,1,3,5]=>3
[6,2,4,1,5,3]=>[6,1,3,2,5,4]=>3
[6,2,4,3,1,5]=>[6,1,4,3,2,5]=>3
[6,2,4,3,5,1]=>[6,1,3,2,5,4]=>3
[6,2,4,5,1,3]=>[6,1,3,5,2,4]=>3
[6,2,4,5,3,1]=>[6,1,2,5,4,3]=>3
[6,2,5,1,3,4]=>[6,2,5,1,3,4]=>3
[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>4
[6,2,5,3,1,4]=>[6,1,5,3,2,4]=>3
[6,2,5,3,4,1]=>[6,1,5,2,4,3]=>3
[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>4
[6,2,5,4,3,1]=>[6,1,5,4,3,2]=>4
[6,3,1,2,4,5]=>[6,3,1,2,4,5]=>2
[6,3,1,2,5,4]=>[6,3,1,2,5,4]=>3
[6,3,1,4,2,5]=>[6,2,1,4,3,5]=>3
[6,3,1,4,5,2]=>[6,2,1,3,5,4]=>3
[6,3,1,5,2,4]=>[6,3,1,5,2,4]=>3
[6,3,1,5,4,2]=>[6,2,1,5,4,3]=>4
[6,3,2,1,4,5]=>[6,3,2,1,4,5]=>3
[6,3,2,1,5,4]=>[6,3,2,1,5,4]=>4
[6,3,2,4,1,5]=>[6,2,1,4,3,5]=>3
[6,3,2,4,5,1]=>[6,2,1,3,5,4]=>3
[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>4
[6,3,2,5,4,1]=>[6,2,1,5,4,3]=>4
[6,3,4,1,2,5]=>[6,2,4,1,3,5]=>3
[6,3,4,1,5,2]=>[6,1,3,2,5,4]=>3
[6,3,4,2,1,5]=>[6,1,4,3,2,5]=>3
[6,3,4,2,5,1]=>[6,1,3,2,5,4]=>3
[6,3,4,5,1,2]=>[6,1,3,5,2,4]=>3
[6,3,4,5,2,1]=>[6,1,2,5,4,3]=>3
[6,3,5,1,2,4]=>[6,3,5,1,2,4]=>3
[6,3,5,1,4,2]=>[6,2,5,1,4,3]=>4
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>4
[6,3,5,2,4,1]=>[6,2,5,1,4,3]=>4
[6,3,5,4,1,2]=>[6,2,5,4,1,3]=>4
[6,3,5,4,2,1]=>[6,1,5,4,3,2]=>4
[6,4,1,2,3,5]=>[6,4,1,2,3,5]=>2
[6,4,1,2,5,3]=>[6,3,1,2,5,4]=>3
[6,4,1,3,2,5]=>[6,4,1,3,2,5]=>3
[6,4,1,3,5,2]=>[6,3,1,2,5,4]=>3
[6,4,1,5,2,3]=>[6,3,1,5,2,4]=>3
[6,4,1,5,3,2]=>[6,2,1,5,4,3]=>4
[6,4,2,1,3,5]=>[6,4,2,1,3,5]=>3
[6,4,2,1,5,3]=>[6,3,2,1,5,4]=>4
[6,4,2,3,1,5]=>[6,4,1,3,2,5]=>3
[6,4,2,3,5,1]=>[6,3,1,2,5,4]=>3
[6,4,2,5,1,3]=>[6,3,2,5,1,4]=>4
[6,4,2,5,3,1]=>[6,2,1,5,4,3]=>4
[6,4,3,1,2,5]=>[6,4,3,1,2,5]=>3
[6,4,3,1,5,2]=>[6,3,2,1,5,4]=>4
[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>4
[6,4,3,2,5,1]=>[6,3,2,1,5,4]=>4
[6,4,3,5,1,2]=>[6,3,2,5,1,4]=>4
[6,4,3,5,2,1]=>[6,2,1,5,4,3]=>4
[6,4,5,1,2,3]=>[6,3,5,1,2,4]=>3
[6,4,5,1,3,2]=>[6,2,5,1,4,3]=>4
[6,4,5,2,1,3]=>[6,3,5,2,1,4]=>4
[6,4,5,2,3,1]=>[6,2,5,1,4,3]=>4
[6,4,5,3,1,2]=>[6,2,5,4,1,3]=>4
[6,4,5,3,2,1]=>[6,1,5,4,3,2]=>4
[6,5,1,2,3,4]=>[6,5,1,2,3,4]=>2
[6,5,1,2,4,3]=>[6,5,1,2,4,3]=>3
[6,5,1,3,2,4]=>[6,5,1,3,2,4]=>3
[6,5,1,3,4,2]=>[6,5,1,2,4,3]=>3
[6,5,1,4,2,3]=>[6,5,1,4,2,3]=>3
[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>4
[6,5,2,1,3,4]=>[6,5,2,1,3,4]=>3
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>4
[6,5,2,3,1,4]=>[6,5,1,3,2,4]=>3
[6,5,2,3,4,1]=>[6,5,1,2,4,3]=>3
[6,5,2,4,1,3]=>[6,5,2,4,1,3]=>4
[6,5,2,4,3,1]=>[6,5,1,4,3,2]=>4
[6,5,3,1,2,4]=>[6,5,3,1,2,4]=>3
[6,5,3,1,4,2]=>[6,5,2,1,4,3]=>4
[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>4
[6,5,3,2,4,1]=>[6,5,2,1,4,3]=>4
[6,5,3,4,1,2]=>[6,5,2,4,1,3]=>4
[6,5,3,4,2,1]=>[6,5,1,4,3,2]=>4
[6,5,4,1,2,3]=>[6,5,4,1,2,3]=>3
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>4
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>4
[6,5,4,2,3,1]=>[6,5,4,1,3,2]=>4
[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>4
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>5
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>0
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>1
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>1
[1,2,3,4,6,7,5]=>[1,2,3,4,5,7,6]=>1
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>1
[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>2
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>1
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>2
[1,2,3,5,6,4,7]=>[1,2,3,4,6,5,7]=>1
[1,2,3,5,6,7,4]=>[1,2,3,4,5,7,6]=>1
[1,2,3,5,7,4,6]=>[1,2,3,5,7,4,6]=>2
[1,2,3,5,7,6,4]=>[1,2,3,4,7,6,5]=>2
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>1
[1,2,3,6,4,7,5]=>[1,2,3,5,4,7,6]=>2
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>2
[1,2,3,6,5,7,4]=>[1,2,3,5,4,7,6]=>2
[1,2,3,6,7,4,5]=>[1,2,3,5,7,4,6]=>2
[1,2,3,6,7,5,4]=>[1,2,3,4,7,6,5]=>2
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>1
[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5]=>2
[1,2,3,7,5,4,6]=>[1,2,3,7,5,4,6]=>2
[1,2,3,7,5,6,4]=>[1,2,3,7,4,6,5]=>2
[1,2,3,7,6,4,5]=>[1,2,3,7,6,4,5]=>2
[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>3
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>1
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>2
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>2
[1,2,4,3,6,7,5]=>[1,2,4,3,5,7,6]=>2
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>2
[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>3
[1,2,4,5,3,6,7]=>[1,2,3,5,4,6,7]=>1
[1,2,4,5,3,7,6]=>[1,2,3,5,4,7,6]=>2
[1,2,4,5,6,3,7]=>[1,2,3,4,6,5,7]=>1
[1,2,4,5,6,7,3]=>[1,2,3,4,5,7,6]=>1
[1,2,4,5,7,3,6]=>[1,2,3,5,7,4,6]=>2
[1,2,4,5,7,6,3]=>[1,2,3,4,7,6,5]=>2
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]=>2
[1,2,4,6,3,7,5]=>[1,2,3,5,4,7,6]=>2
[1,2,4,6,5,3,7]=>[1,2,3,6,5,4,7]=>2
[1,2,4,6,5,7,3]=>[1,2,3,5,4,7,6]=>2
[1,2,4,6,7,3,5]=>[1,2,3,5,7,4,6]=>2
[1,2,4,6,7,5,3]=>[1,2,3,4,7,6,5]=>2
[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]=>2
[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]=>3
[1,2,4,7,5,3,6]=>[1,2,3,7,5,4,6]=>2
[1,2,4,7,5,6,3]=>[1,2,3,7,4,6,5]=>2
[1,2,4,7,6,3,5]=>[1,2,4,7,6,3,5]=>3
[1,2,4,7,6,5,3]=>[1,2,3,7,6,5,4]=>3
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>1
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>2
[1,2,5,3,6,4,7]=>[1,2,4,3,6,5,7]=>2
[1,2,5,3,6,7,4]=>[1,2,4,3,5,7,6]=>2
[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>2
[1,2,5,3,7,6,4]=>[1,2,4,3,7,6,5]=>3
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>2
[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>3
[1,2,5,4,6,3,7]=>[1,2,4,3,6,5,7]=>2
[1,2,5,4,6,7,3]=>[1,2,4,3,5,7,6]=>2
[1,2,5,4,7,3,6]=>[1,2,5,4,7,3,6]=>3
[1,2,5,4,7,6,3]=>[1,2,4,3,7,6,5]=>3
[1,2,5,6,3,4,7]=>[1,2,4,6,3,5,7]=>2
[1,2,5,6,3,7,4]=>[1,2,3,5,4,7,6]=>2
[1,2,5,6,4,3,7]=>[1,2,3,6,5,4,7]=>2
[1,2,5,6,4,7,3]=>[1,2,3,5,4,7,6]=>2
[1,2,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>2
[1,2,5,6,7,4,3]=>[1,2,3,4,7,6,5]=>2
[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>2
[1,2,5,7,3,6,4]=>[1,2,4,7,3,6,5]=>3
[1,2,5,7,4,3,6]=>[1,2,5,7,4,3,6]=>3
[1,2,5,7,4,6,3]=>[1,2,4,7,3,6,5]=>3
[1,2,5,7,6,3,4]=>[1,2,4,7,6,3,5]=>3
[1,2,5,7,6,4,3]=>[1,2,3,7,6,5,4]=>3
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>1
[1,2,6,3,4,7,5]=>[1,2,5,3,4,7,6]=>2
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>2
[1,2,6,3,5,7,4]=>[1,2,5,3,4,7,6]=>2
[1,2,6,3,7,4,5]=>[1,2,5,3,7,4,6]=>2
[1,2,6,3,7,5,4]=>[1,2,4,3,7,6,5]=>3
[1,2,6,4,3,5,7]=>[1,2,6,4,3,5,7]=>2
[1,2,6,4,3,7,5]=>[1,2,5,4,3,7,6]=>3
[1,2,6,4,5,3,7]=>[1,2,6,3,5,4,7]=>2
[1,2,6,4,5,7,3]=>[1,2,5,3,4,7,6]=>2
[1,2,6,4,7,3,5]=>[1,2,5,4,7,3,6]=>3
[1,2,6,4,7,5,3]=>[1,2,4,3,7,6,5]=>3
[1,2,6,5,3,4,7]=>[1,2,6,5,3,4,7]=>2
[1,2,6,5,3,7,4]=>[1,2,5,4,3,7,6]=>3
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>3
[1,2,6,5,4,7,3]=>[1,2,5,4,3,7,6]=>3
[1,2,6,5,7,3,4]=>[1,2,5,4,7,3,6]=>3
[1,2,6,5,7,4,3]=>[1,2,4,3,7,6,5]=>3
[1,2,6,7,3,4,5]=>[1,2,5,7,3,4,6]=>2
[1,2,6,7,3,5,4]=>[1,2,4,7,3,6,5]=>3
[1,2,6,7,4,3,5]=>[1,2,5,7,4,3,6]=>3
[1,2,6,7,4,5,3]=>[1,2,4,7,3,6,5]=>3
[1,2,6,7,5,3,4]=>[1,2,4,7,6,3,5]=>3
[1,2,6,7,5,4,3]=>[1,2,3,7,6,5,4]=>3
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>1
[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>2
[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>2
[1,2,7,3,5,6,4]=>[1,2,7,3,4,6,5]=>2
[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>2
[1,2,7,3,6,5,4]=>[1,2,7,3,6,5,4]=>3
[1,2,7,4,3,5,6]=>[1,2,7,4,3,5,6]=>2
[1,2,7,4,3,6,5]=>[1,2,7,4,3,6,5]=>3
[1,2,7,4,5,3,6]=>[1,2,7,3,5,4,6]=>2
[1,2,7,4,5,6,3]=>[1,2,7,3,4,6,5]=>2
[1,2,7,4,6,3,5]=>[1,2,7,4,6,3,5]=>3
[1,2,7,4,6,5,3]=>[1,2,7,3,6,5,4]=>3
[1,2,7,5,3,4,6]=>[1,2,7,5,3,4,6]=>2
[1,2,7,5,3,6,4]=>[1,2,7,4,3,6,5]=>3
[1,2,7,5,4,3,6]=>[1,2,7,5,4,3,6]=>3
[1,2,7,5,4,6,3]=>[1,2,7,4,3,6,5]=>3
[1,2,7,5,6,3,4]=>[1,2,7,4,6,3,5]=>3
[1,2,7,5,6,4,3]=>[1,2,7,3,6,5,4]=>3
[1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>2
[1,2,7,6,3,5,4]=>[1,2,7,6,3,5,4]=>3
[1,2,7,6,4,3,5]=>[1,2,7,6,4,3,5]=>3
[1,2,7,6,4,5,3]=>[1,2,7,6,3,5,4]=>3
[1,2,7,6,5,3,4]=>[1,2,7,6,5,3,4]=>3
[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>4
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>1
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>2
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>2
[1,3,2,4,6,7,5]=>[1,3,2,4,5,7,6]=>2
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>2
[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>3
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>2
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>3
[1,3,2,5,6,4,7]=>[1,3,2,4,6,5,7]=>2
[1,3,2,5,6,7,4]=>[1,3,2,4,5,7,6]=>2
[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>3
[1,3,2,5,7,6,4]=>[1,3,2,4,7,6,5]=>3
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>2
[1,3,2,6,4,7,5]=>[1,3,2,5,4,7,6]=>3
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>3
[1,3,2,6,5,7,4]=>[1,3,2,5,4,7,6]=>3
[1,3,2,6,7,4,5]=>[1,3,2,5,7,4,6]=>3
[1,3,2,6,7,5,4]=>[1,3,2,4,7,6,5]=>3
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>2
[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>3
[1,3,2,7,5,4,6]=>[1,3,2,7,5,4,6]=>3
[1,3,2,7,5,6,4]=>[1,3,2,7,4,6,5]=>3
[1,3,2,7,6,4,5]=>[1,3,2,7,6,4,5]=>3
[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>4
[1,3,4,2,5,6,7]=>[1,2,4,3,5,6,7]=>1
[1,3,4,2,5,7,6]=>[1,2,4,3,5,7,6]=>2
[1,3,4,2,6,5,7]=>[1,2,4,3,6,5,7]=>2
[1,3,4,2,6,7,5]=>[1,2,4,3,5,7,6]=>2
[1,3,4,2,7,5,6]=>[1,2,4,3,7,5,6]=>2
[1,3,4,2,7,6,5]=>[1,2,4,3,7,6,5]=>3
[1,3,4,5,2,6,7]=>[1,2,3,5,4,6,7]=>1
[1,3,4,5,2,7,6]=>[1,2,3,5,4,7,6]=>2
[1,3,4,5,6,2,7]=>[1,2,3,4,6,5,7]=>1
[1,3,4,5,6,7,2]=>[1,2,3,4,5,7,6]=>1
[1,3,4,5,7,2,6]=>[1,2,3,5,7,4,6]=>2
[1,3,4,5,7,6,2]=>[1,2,3,4,7,6,5]=>2
[1,3,4,6,2,5,7]=>[1,2,4,6,3,5,7]=>2
[1,3,4,6,2,7,5]=>[1,2,3,5,4,7,6]=>2
[1,3,4,6,5,2,7]=>[1,2,3,6,5,4,7]=>2
[1,3,4,6,5,7,2]=>[1,2,3,5,4,7,6]=>2
[1,3,4,6,7,2,5]=>[1,2,3,5,7,4,6]=>2
[1,3,4,6,7,5,2]=>[1,2,3,4,7,6,5]=>2
[1,3,4,7,2,5,6]=>[1,2,4,7,3,5,6]=>2
[1,3,4,7,2,6,5]=>[1,2,4,7,3,6,5]=>3
[1,3,4,7,5,2,6]=>[1,2,3,7,5,4,6]=>2
[1,3,4,7,5,6,2]=>[1,2,3,7,4,6,5]=>2
[1,3,4,7,6,2,5]=>[1,2,4,7,6,3,5]=>3
[1,3,4,7,6,5,2]=>[1,2,3,7,6,5,4]=>3
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]=>2
[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]=>3
[1,3,5,2,6,4,7]=>[1,2,4,3,6,5,7]=>2
[1,3,5,2,6,7,4]=>[1,2,4,3,5,7,6]=>2
[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]=>3
[1,3,5,2,7,6,4]=>[1,2,4,3,7,6,5]=>3
[1,3,5,4,2,6,7]=>[1,2,5,4,3,6,7]=>2
[1,3,5,4,2,7,6]=>[1,2,5,4,3,7,6]=>3
[1,3,5,4,6,2,7]=>[1,2,4,3,6,5,7]=>2
[1,3,5,4,6,7,2]=>[1,2,4,3,5,7,6]=>2
[1,3,5,4,7,2,6]=>[1,2,5,4,7,3,6]=>3
[1,3,5,4,7,6,2]=>[1,2,4,3,7,6,5]=>3
[1,3,5,6,2,4,7]=>[1,2,4,6,3,5,7]=>2
[1,3,5,6,2,7,4]=>[1,2,3,5,4,7,6]=>2
[1,3,5,6,4,2,7]=>[1,2,3,6,5,4,7]=>2
[1,3,5,6,4,7,2]=>[1,2,3,5,4,7,6]=>2
[1,3,5,6,7,2,4]=>[1,2,3,5,7,4,6]=>2
[1,3,5,6,7,4,2]=>[1,2,3,4,7,6,5]=>2
[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]=>3
[1,3,5,7,2,6,4]=>[1,2,4,7,3,6,5]=>3
[1,3,5,7,4,2,6]=>[1,2,5,7,4,3,6]=>3
[1,3,5,7,4,6,2]=>[1,2,4,7,3,6,5]=>3
[1,3,5,7,6,2,4]=>[1,2,4,7,6,3,5]=>3
[1,3,5,7,6,4,2]=>[1,2,3,7,6,5,4]=>3
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]=>2
[1,3,6,2,4,7,5]=>[1,3,5,2,4,7,6]=>3
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>3
[1,3,6,2,5,7,4]=>[1,3,5,2,4,7,6]=>3
[1,3,6,2,7,4,5]=>[1,3,5,2,7,4,6]=>3
[1,3,6,2,7,5,4]=>[1,2,4,3,7,6,5]=>3
[1,3,6,4,2,5,7]=>[1,2,6,4,3,5,7]=>2
[1,3,6,4,2,7,5]=>[1,2,5,4,3,7,6]=>3
[1,3,6,4,5,2,7]=>[1,2,6,3,5,4,7]=>2
[1,3,6,4,5,7,2]=>[1,2,5,3,4,7,6]=>2
[1,3,6,4,7,2,5]=>[1,2,5,4,7,3,6]=>3
[1,3,6,4,7,5,2]=>[1,2,4,3,7,6,5]=>3
[1,3,6,5,2,4,7]=>[1,3,6,5,2,4,7]=>3
[1,3,6,5,2,7,4]=>[1,2,5,4,3,7,6]=>3
[1,3,6,5,4,2,7]=>[1,2,6,5,4,3,7]=>3
[1,3,6,5,4,7,2]=>[1,2,5,4,3,7,6]=>3
[1,3,6,5,7,2,4]=>[1,2,5,4,7,3,6]=>3
[1,3,6,5,7,4,2]=>[1,2,4,3,7,6,5]=>3
[1,3,6,7,2,4,5]=>[1,3,5,7,2,4,6]=>3
[1,3,6,7,2,5,4]=>[1,2,4,7,3,6,5]=>3
[1,3,6,7,4,2,5]=>[1,2,5,7,4,3,6]=>3
[1,3,6,7,4,5,2]=>[1,2,4,7,3,6,5]=>3
[1,3,6,7,5,2,4]=>[1,2,4,7,6,3,5]=>3
[1,3,6,7,5,4,2]=>[1,2,3,7,6,5,4]=>3
[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>2
[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>3
[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>3
[1,3,7,2,5,6,4]=>[1,3,7,2,4,6,5]=>3
[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>3
[1,3,7,2,6,5,4]=>[1,3,7,2,6,5,4]=>4
[1,3,7,4,2,5,6]=>[1,2,7,4,3,5,6]=>2
[1,3,7,4,2,6,5]=>[1,2,7,4,3,6,5]=>3
[1,3,7,4,5,2,6]=>[1,2,7,3,5,4,6]=>2
[1,3,7,4,5,6,2]=>[1,2,7,3,4,6,5]=>2
[1,3,7,4,6,2,5]=>[1,2,7,4,6,3,5]=>3
[1,3,7,4,6,5,2]=>[1,2,7,3,6,5,4]=>3
[1,3,7,5,2,4,6]=>[1,3,7,5,2,4,6]=>3
[1,3,7,5,2,6,4]=>[1,2,7,4,3,6,5]=>3
[1,3,7,5,4,2,6]=>[1,2,7,5,4,3,6]=>3
[1,3,7,5,4,6,2]=>[1,2,7,4,3,6,5]=>3
[1,3,7,5,6,2,4]=>[1,2,7,4,6,3,5]=>3
[1,3,7,5,6,4,2]=>[1,2,7,3,6,5,4]=>3
[1,3,7,6,2,4,5]=>[1,3,7,6,2,4,5]=>3
[1,3,7,6,2,5,4]=>[1,3,7,6,2,5,4]=>4
[1,3,7,6,4,2,5]=>[1,2,7,6,4,3,5]=>3
[1,3,7,6,4,5,2]=>[1,2,7,6,3,5,4]=>3
[1,3,7,6,5,2,4]=>[1,3,7,6,5,2,4]=>4
[1,3,7,6,5,4,2]=>[1,2,7,6,5,4,3]=>4
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>1
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>2
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>2
[1,4,2,3,6,7,5]=>[1,4,2,3,5,7,6]=>2
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>2
[1,4,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>3
[1,4,2,5,3,6,7]=>[1,3,2,5,4,6,7]=>2
[1,4,2,5,3,7,6]=>[1,3,2,5,4,7,6]=>3
[1,4,2,5,6,3,7]=>[1,3,2,4,6,5,7]=>2
[1,4,2,5,6,7,3]=>[1,3,2,4,5,7,6]=>2
[1,4,2,5,7,3,6]=>[1,3,2,5,7,4,6]=>3
[1,4,2,5,7,6,3]=>[1,3,2,4,7,6,5]=>3
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>2
[1,4,2,6,3,7,5]=>[1,3,2,5,4,7,6]=>3
[1,4,2,6,5,3,7]=>[1,3,2,6,5,4,7]=>3
[1,4,2,6,5,7,3]=>[1,3,2,5,4,7,6]=>3
[1,4,2,6,7,3,5]=>[1,3,2,5,7,4,6]=>3
[1,4,2,6,7,5,3]=>[1,3,2,4,7,6,5]=>3
[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>2
[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>3
[1,4,2,7,5,3,6]=>[1,3,2,7,5,4,6]=>3
[1,4,2,7,5,6,3]=>[1,3,2,7,4,6,5]=>3
[1,4,2,7,6,3,5]=>[1,4,2,7,6,3,5]=>3
[1,4,2,7,6,5,3]=>[1,3,2,7,6,5,4]=>4
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>2
[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>3
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>3
[1,4,3,2,6,7,5]=>[1,4,3,2,5,7,6]=>3
[1,4,3,2,7,5,6]=>[1,4,3,2,7,5,6]=>3
[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>4
[1,4,3,5,2,6,7]=>[1,3,2,5,4,6,7]=>2
[1,4,3,5,2,7,6]=>[1,3,2,5,4,7,6]=>3
[1,4,3,5,6,2,7]=>[1,3,2,4,6,5,7]=>2
[1,4,3,5,6,7,2]=>[1,3,2,4,5,7,6]=>2
[1,4,3,5,7,2,6]=>[1,3,2,5,7,4,6]=>3
[1,4,3,5,7,6,2]=>[1,3,2,4,7,6,5]=>3
[1,4,3,6,2,5,7]=>[1,4,3,6,2,5,7]=>3
[1,4,3,6,2,7,5]=>[1,3,2,5,4,7,6]=>3
[1,4,3,6,5,2,7]=>[1,3,2,6,5,4,7]=>3
[1,4,3,6,5,7,2]=>[1,3,2,5,4,7,6]=>3
[1,4,3,6,7,2,5]=>[1,3,2,5,7,4,6]=>3
[1,4,3,6,7,5,2]=>[1,3,2,4,7,6,5]=>3
[1,4,3,7,2,5,6]=>[1,4,3,7,2,5,6]=>3
[1,4,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>4
[1,4,3,7,5,2,6]=>[1,3,2,7,5,4,6]=>3
[1,4,3,7,5,6,2]=>[1,3,2,7,4,6,5]=>3
[1,4,3,7,6,2,5]=>[1,4,3,7,6,2,5]=>4
[1,4,3,7,6,5,2]=>[1,3,2,7,6,5,4]=>4
[1,4,5,2,3,6,7]=>[1,3,5,2,4,6,7]=>2
[1,4,5,2,3,7,6]=>[1,3,5,2,4,7,6]=>3
[1,4,5,2,6,3,7]=>[1,2,4,3,6,5,7]=>2
[1,4,5,2,6,7,3]=>[1,2,4,3,5,7,6]=>2
[1,4,5,2,7,3,6]=>[1,3,5,2,7,4,6]=>3
[1,4,5,2,7,6,3]=>[1,2,4,3,7,6,5]=>3
[1,4,5,3,2,6,7]=>[1,2,5,4,3,6,7]=>2
[1,4,5,3,2,7,6]=>[1,2,5,4,3,7,6]=>3
[1,4,5,3,6,2,7]=>[1,2,4,3,6,5,7]=>2
[1,4,5,3,6,7,2]=>[1,2,4,3,5,7,6]=>2
[1,4,5,3,7,2,6]=>[1,2,5,4,7,3,6]=>3
[1,4,5,3,7,6,2]=>[1,2,4,3,7,6,5]=>3
[1,4,5,6,2,3,7]=>[1,2,4,6,3,5,7]=>2
[1,4,5,6,2,7,3]=>[1,2,3,5,4,7,6]=>2
[1,4,5,6,3,2,7]=>[1,2,3,6,5,4,7]=>2
[1,4,5,6,3,7,2]=>[1,2,3,5,4,7,6]=>2
[1,4,5,6,7,2,3]=>[1,2,3,5,7,4,6]=>2
[1,4,5,6,7,3,2]=>[1,2,3,4,7,6,5]=>2
[1,4,5,7,2,3,6]=>[1,3,5,7,2,4,6]=>3
[1,4,5,7,2,6,3]=>[1,2,4,7,3,6,5]=>3
[1,4,5,7,3,2,6]=>[1,2,5,7,4,3,6]=>3
[1,4,5,7,3,6,2]=>[1,2,4,7,3,6,5]=>3
[1,4,5,7,6,2,3]=>[1,2,4,7,6,3,5]=>3
[1,4,5,7,6,3,2]=>[1,2,3,7,6,5,4]=>3
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>2
[1,4,6,2,3,7,5]=>[1,3,5,2,4,7,6]=>3
[1,4,6,2,5,3,7]=>[1,3,6,2,5,4,7]=>3
[1,4,6,2,5,7,3]=>[1,3,5,2,4,7,6]=>3
[1,4,6,2,7,3,5]=>[1,3,5,2,7,4,6]=>3
[1,4,6,2,7,5,3]=>[1,2,4,3,7,6,5]=>3
[1,4,6,3,2,5,7]=>[1,4,6,3,2,5,7]=>3
[1,4,6,3,2,7,5]=>[1,2,5,4,3,7,6]=>3
[1,4,6,3,5,2,7]=>[1,3,6,2,5,4,7]=>3
[1,4,6,3,5,7,2]=>[1,3,5,2,4,7,6]=>3
[1,4,6,3,7,2,5]=>[1,2,5,4,7,3,6]=>3
[1,4,6,3,7,5,2]=>[1,2,4,3,7,6,5]=>3
[1,4,6,5,2,3,7]=>[1,3,6,5,2,4,7]=>3
[1,4,6,5,2,7,3]=>[1,2,5,4,3,7,6]=>3
[1,4,6,5,3,2,7]=>[1,2,6,5,4,3,7]=>3
[1,4,6,5,3,7,2]=>[1,2,5,4,3,7,6]=>3
[1,4,6,5,7,2,3]=>[1,2,5,4,7,3,6]=>3
[1,4,6,5,7,3,2]=>[1,2,4,3,7,6,5]=>3
[1,4,6,7,2,3,5]=>[1,3,5,7,2,4,6]=>3
[1,4,6,7,2,5,3]=>[1,2,4,7,3,6,5]=>3
[1,4,6,7,3,2,5]=>[1,2,5,7,4,3,6]=>3
[1,4,6,7,3,5,2]=>[1,2,4,7,3,6,5]=>3
[1,4,6,7,5,2,3]=>[1,2,4,7,6,3,5]=>3
[1,4,6,7,5,3,2]=>[1,2,3,7,6,5,4]=>3
[1,4,7,2,5,3,6]=>[1,3,7,2,5,4,6]=>3
[1,4,7,2,5,6,3]=>[1,3,7,2,4,6,5]=>3
[1,4,7,2,6,5,3]=>[1,3,7,2,6,5,4]=>4
[1,4,7,3,5,2,6]=>[1,3,7,2,5,4,6]=>3
[1,4,7,3,5,6,2]=>[1,3,7,2,4,6,5]=>3
[1,4,7,3,6,5,2]=>[1,3,7,2,6,5,4]=>4
[1,4,7,5,2,3,6]=>[1,3,7,5,2,4,6]=>3
[1,4,7,5,2,6,3]=>[1,2,7,4,3,6,5]=>3
[1,4,7,5,3,2,6]=>[1,2,7,5,4,3,6]=>3
[1,4,7,5,3,6,2]=>[1,2,7,4,3,6,5]=>3
[1,4,7,5,6,2,3]=>[1,2,7,4,6,3,5]=>3
[1,4,7,5,6,3,2]=>[1,2,7,3,6,5,4]=>3
[1,4,7,6,2,5,3]=>[1,3,7,6,2,5,4]=>4
[1,4,7,6,3,5,2]=>[1,3,7,6,2,5,4]=>4
[1,4,7,6,5,2,3]=>[1,3,7,6,5,2,4]=>4
[1,4,7,6,5,3,2]=>[1,2,7,6,5,4,3]=>4
[1,5,2,3,6,4,7]=>[1,4,2,3,6,5,7]=>2
[1,5,2,3,6,7,4]=>[1,4,2,3,5,7,6]=>2
[1,5,2,3,7,6,4]=>[1,4,2,3,7,6,5]=>3
[1,5,2,4,6,3,7]=>[1,4,2,3,6,5,7]=>2
[1,5,2,4,6,7,3]=>[1,4,2,3,5,7,6]=>2
[1,5,2,4,7,6,3]=>[1,4,2,3,7,6,5]=>3
[1,5,2,6,3,4,7]=>[1,4,2,6,3,5,7]=>2
[1,5,2,6,3,7,4]=>[1,3,2,5,4,7,6]=>3
[1,5,2,6,4,3,7]=>[1,3,2,6,5,4,7]=>3
[1,5,2,6,4,7,3]=>[1,3,2,5,4,7,6]=>3
[1,5,2,6,7,3,4]=>[1,3,2,5,7,4,6]=>3
[1,5,2,6,7,4,3]=>[1,3,2,4,7,6,5]=>3
[1,5,2,7,3,6,4]=>[1,4,2,7,3,6,5]=>3
[1,5,2,7,4,6,3]=>[1,4,2,7,3,6,5]=>3
[1,5,2,7,6,3,4]=>[1,4,2,7,6,3,5]=>3
[1,5,2,7,6,4,3]=>[1,3,2,7,6,5,4]=>4
[1,5,3,2,6,4,7]=>[1,4,3,2,6,5,7]=>3
[1,5,3,2,6,7,4]=>[1,4,3,2,5,7,6]=>3
[1,5,3,2,7,6,4]=>[1,4,3,2,7,6,5]=>4
[1,5,3,4,6,2,7]=>[1,4,2,3,6,5,7]=>2
[1,5,3,4,6,7,2]=>[1,4,2,3,5,7,6]=>2
[1,5,3,4,7,6,2]=>[1,4,2,3,7,6,5]=>3
[1,5,3,6,2,4,7]=>[1,4,3,6,2,5,7]=>3
[1,5,3,6,2,7,4]=>[1,3,2,5,4,7,6]=>3
[1,5,3,6,4,2,7]=>[1,3,2,6,5,4,7]=>3
[1,5,3,6,4,7,2]=>[1,3,2,5,4,7,6]=>3
[1,5,3,6,7,2,4]=>[1,3,2,5,7,4,6]=>3
[1,5,3,6,7,4,2]=>[1,3,2,4,7,6,5]=>3
[1,5,3,7,2,6,4]=>[1,4,3,7,2,6,5]=>4
[1,5,3,7,4,6,2]=>[1,4,2,7,3,6,5]=>3
[1,5,3,7,6,2,4]=>[1,4,3,7,6,2,5]=>4
[1,5,3,7,6,4,2]=>[1,3,2,7,6,5,4]=>4
[1,5,4,2,6,3,7]=>[1,4,3,2,6,5,7]=>3
[1,5,4,2,6,7,3]=>[1,4,3,2,5,7,6]=>3
[1,5,4,2,7,6,3]=>[1,4,3,2,7,6,5]=>4
[1,5,4,3,6,2,7]=>[1,4,3,2,6,5,7]=>3
[1,5,4,3,6,7,2]=>[1,4,3,2,5,7,6]=>3
[1,5,4,3,7,6,2]=>[1,4,3,2,7,6,5]=>4
[1,5,4,6,2,3,7]=>[1,4,3,6,2,5,7]=>3
[1,5,4,6,2,7,3]=>[1,3,2,5,4,7,6]=>3
[1,5,4,6,3,2,7]=>[1,3,2,6,5,4,7]=>3
[1,5,4,6,3,7,2]=>[1,3,2,5,4,7,6]=>3
[1,5,4,6,7,2,3]=>[1,3,2,5,7,4,6]=>3
[1,5,4,6,7,3,2]=>[1,3,2,4,7,6,5]=>3
[1,5,4,7,2,6,3]=>[1,4,3,7,2,6,5]=>4
[1,5,4,7,3,6,2]=>[1,4,3,7,2,6,5]=>4
[1,5,4,7,6,2,3]=>[1,4,3,7,6,2,5]=>4
[1,5,4,7,6,3,2]=>[1,3,2,7,6,5,4]=>4
[1,5,6,2,3,4,7]=>[1,4,6,2,3,5,7]=>2
[1,5,6,2,3,7,4]=>[1,3,5,2,4,7,6]=>3
[1,5,6,2,4,3,7]=>[1,3,6,2,5,4,7]=>3
[1,5,6,2,4,7,3]=>[1,3,5,2,4,7,6]=>3
[1,5,6,2,7,3,4]=>[1,3,5,2,7,4,6]=>3
[1,5,6,2,7,4,3]=>[1,2,4,3,7,6,5]=>3
[1,5,6,3,2,4,7]=>[1,4,6,3,2,5,7]=>3
[1,5,6,3,2,7,4]=>[1,2,5,4,3,7,6]=>3
[1,5,6,3,4,2,7]=>[1,3,6,2,5,4,7]=>3
[1,5,6,3,4,7,2]=>[1,3,5,2,4,7,6]=>3
[1,5,6,3,7,2,4]=>[1,2,5,4,7,3,6]=>3
[1,5,6,3,7,4,2]=>[1,2,4,3,7,6,5]=>3
[1,5,6,4,2,3,7]=>[1,3,6,5,2,4,7]=>3
[1,5,6,4,2,7,3]=>[1,2,5,4,3,7,6]=>3
[1,5,6,4,3,2,7]=>[1,2,6,5,4,3,7]=>3
[1,5,6,4,3,7,2]=>[1,2,5,4,3,7,6]=>3
[1,5,6,4,7,2,3]=>[1,2,5,4,7,3,6]=>3
[1,5,6,4,7,3,2]=>[1,2,4,3,7,6,5]=>3
[1,5,6,7,2,3,4]=>[1,3,5,7,2,4,6]=>3
[1,5,6,7,2,4,3]=>[1,2,4,7,3,6,5]=>3
[1,5,6,7,3,2,4]=>[1,2,5,7,4,3,6]=>3
[1,5,6,7,3,4,2]=>[1,2,4,7,3,6,5]=>3
[1,5,6,7,4,2,3]=>[1,2,4,7,6,3,5]=>3
[1,5,6,7,4,3,2]=>[1,2,3,7,6,5,4]=>3
[1,5,7,2,6,4,3]=>[1,3,7,2,6,5,4]=>4
[1,5,7,3,6,4,2]=>[1,3,7,2,6,5,4]=>4
[1,5,7,4,6,3,2]=>[1,3,7,2,6,5,4]=>4
[1,5,7,6,2,4,3]=>[1,3,7,6,2,5,4]=>4
[1,5,7,6,3,4,2]=>[1,3,7,6,2,5,4]=>4
[1,5,7,6,4,2,3]=>[1,3,7,6,5,2,4]=>4
[1,5,7,6,4,3,2]=>[1,2,7,6,5,4,3]=>4
[1,6,2,3,7,5,4]=>[1,4,2,3,7,6,5]=>3
[1,6,2,4,7,5,3]=>[1,4,2,3,7,6,5]=>3
[1,6,2,5,7,4,3]=>[1,4,2,3,7,6,5]=>3
[1,6,2,7,3,5,4]=>[1,4,2,7,3,6,5]=>3
[1,6,2,7,4,5,3]=>[1,4,2,7,3,6,5]=>3
[1,6,2,7,5,3,4]=>[1,4,2,7,6,3,5]=>3
[1,6,2,7,5,4,3]=>[1,3,2,7,6,5,4]=>4
[1,6,3,2,7,5,4]=>[1,4,3,2,7,6,5]=>4
[1,6,3,4,7,5,2]=>[1,4,2,3,7,6,5]=>3
[1,6,3,5,7,4,2]=>[1,4,2,3,7,6,5]=>3
[1,6,3,7,2,5,4]=>[1,4,3,7,2,6,5]=>4
[1,6,3,7,4,5,2]=>[1,4,2,7,3,6,5]=>3
[1,6,3,7,5,2,4]=>[1,4,3,7,6,2,5]=>4
[1,6,3,7,5,4,2]=>[1,3,2,7,6,5,4]=>4
[1,6,4,2,7,5,3]=>[1,4,3,2,7,6,5]=>4
[1,6,4,3,7,5,2]=>[1,4,3,2,7,6,5]=>4
[1,6,4,5,7,3,2]=>[1,4,2,3,7,6,5]=>3
[1,6,4,7,2,5,3]=>[1,4,3,7,2,6,5]=>4
[1,6,4,7,3,5,2]=>[1,4,3,7,2,6,5]=>4
[1,6,4,7,5,2,3]=>[1,4,3,7,6,2,5]=>4
[1,6,4,7,5,3,2]=>[1,3,2,7,6,5,4]=>4
[1,6,5,2,7,4,3]=>[1,4,3,2,7,6,5]=>4
[1,6,5,3,7,4,2]=>[1,4,3,2,7,6,5]=>4
[1,6,5,4,7,3,2]=>[1,4,3,2,7,6,5]=>4
[1,6,5,7,2,4,3]=>[1,4,3,7,2,6,5]=>4
[1,6,5,7,3,4,2]=>[1,4,3,7,2,6,5]=>4
[1,6,5,7,4,2,3]=>[1,4,3,7,6,2,5]=>4
[1,6,5,7,4,3,2]=>[1,3,2,7,6,5,4]=>4
[1,6,7,2,5,4,3]=>[1,3,7,2,6,5,4]=>4
[1,6,7,3,5,4,2]=>[1,3,7,2,6,5,4]=>4
[1,6,7,4,5,3,2]=>[1,3,7,2,6,5,4]=>4
[1,6,7,5,2,4,3]=>[1,3,7,6,2,5,4]=>4
[1,6,7,5,3,4,2]=>[1,3,7,6,2,5,4]=>4
[1,6,7,5,4,2,3]=>[1,3,7,6,5,2,4]=>4
[1,6,7,5,4,3,2]=>[1,2,7,6,5,4,3]=>4
[2,3,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>1
[2,3,1,4,5,7,6]=>[1,3,2,4,5,7,6]=>2
[2,3,1,4,6,5,7]=>[1,3,2,4,6,5,7]=>2
[2,3,1,4,6,7,5]=>[1,3,2,4,5,7,6]=>2
[2,3,1,4,7,5,6]=>[1,3,2,4,7,5,6]=>2
[2,3,1,4,7,6,5]=>[1,3,2,4,7,6,5]=>3
[2,3,1,5,4,6,7]=>[1,3,2,5,4,6,7]=>2
[2,3,1,5,4,7,6]=>[1,3,2,5,4,7,6]=>3
[2,3,1,5,6,4,7]=>[1,3,2,4,6,5,7]=>2
[2,3,1,5,6,7,4]=>[1,3,2,4,5,7,6]=>2
[2,3,1,5,7,4,6]=>[1,3,2,5,7,4,6]=>3
[2,3,1,5,7,6,4]=>[1,3,2,4,7,6,5]=>3
[2,3,1,6,4,5,7]=>[1,3,2,6,4,5,7]=>2
[2,3,1,6,4,7,5]=>[1,3,2,5,4,7,6]=>3
[2,3,1,6,5,4,7]=>[1,3,2,6,5,4,7]=>3
[2,3,1,6,5,7,4]=>[1,3,2,5,4,7,6]=>3
[2,3,1,6,7,4,5]=>[1,3,2,5,7,4,6]=>3
[2,3,1,6,7,5,4]=>[1,3,2,4,7,6,5]=>3
[2,3,1,7,4,5,6]=>[1,3,2,7,4,5,6]=>2
[2,3,1,7,4,6,5]=>[1,3,2,7,4,6,5]=>3
[2,3,1,7,5,4,6]=>[1,3,2,7,5,4,6]=>3
[2,3,1,7,5,6,4]=>[1,3,2,7,4,6,5]=>3
[2,3,1,7,6,4,5]=>[1,3,2,7,6,4,5]=>3
[2,3,1,7,6,5,4]=>[1,3,2,7,6,5,4]=>4
[2,3,4,1,5,6,7]=>[1,2,4,3,5,6,7]=>1
[2,3,4,1,5,7,6]=>[1,2,4,3,5,7,6]=>2
[2,3,4,1,6,5,7]=>[1,2,4,3,6,5,7]=>2
[2,3,4,1,6,7,5]=>[1,2,4,3,5,7,6]=>2
[2,3,4,1,7,5,6]=>[1,2,4,3,7,5,6]=>2
[2,3,4,1,7,6,5]=>[1,2,4,3,7,6,5]=>3
[2,3,4,5,1,6,7]=>[1,2,3,5,4,6,7]=>1
[2,3,4,5,1,7,6]=>[1,2,3,5,4,7,6]=>2
[2,3,4,5,6,1,7]=>[1,2,3,4,6,5,7]=>1
[2,3,4,5,6,7,1]=>[1,2,3,4,5,7,6]=>1
[2,3,4,5,7,1,6]=>[1,2,3,5,7,4,6]=>2
[2,3,4,5,7,6,1]=>[1,2,3,4,7,6,5]=>2
[2,3,4,6,1,5,7]=>[1,2,4,6,3,5,7]=>2
[2,3,4,6,1,7,5]=>[1,2,3,5,4,7,6]=>2
[2,3,4,6,5,1,7]=>[1,2,3,6,5,4,7]=>2
[2,3,4,6,5,7,1]=>[1,2,3,5,4,7,6]=>2
[2,3,4,6,7,1,5]=>[1,2,3,5,7,4,6]=>2
[2,3,4,6,7,5,1]=>[1,2,3,4,7,6,5]=>2
[2,3,4,7,1,5,6]=>[1,2,4,7,3,5,6]=>2
[2,3,4,7,1,6,5]=>[1,2,4,7,3,6,5]=>3
[2,3,4,7,5,1,6]=>[1,2,3,7,5,4,6]=>2
[2,3,4,7,5,6,1]=>[1,2,3,7,4,6,5]=>2
[2,3,4,7,6,1,5]=>[1,2,4,7,6,3,5]=>3
[2,3,4,7,6,5,1]=>[1,2,3,7,6,5,4]=>3
[2,3,5,1,4,6,7]=>[1,3,5,2,4,6,7]=>2
[2,3,5,1,4,7,6]=>[1,3,5,2,4,7,6]=>3
[2,3,5,1,6,4,7]=>[1,2,4,3,6,5,7]=>2
[2,3,5,1,6,7,4]=>[1,2,4,3,5,7,6]=>2
[2,3,5,1,7,4,6]=>[1,3,5,2,7,4,6]=>3
[2,3,5,1,7,6,4]=>[1,2,4,3,7,6,5]=>3
[2,3,5,4,1,6,7]=>[1,2,5,4,3,6,7]=>2
[2,3,5,4,1,7,6]=>[1,2,5,4,3,7,6]=>3
[2,3,5,4,6,1,7]=>[1,2,4,3,6,5,7]=>2
[2,3,5,4,6,7,1]=>[1,2,4,3,5,7,6]=>2
[2,3,5,4,7,1,6]=>[1,2,5,4,7,3,6]=>3
[2,3,5,4,7,6,1]=>[1,2,4,3,7,6,5]=>3
[2,3,5,6,1,4,7]=>[1,2,4,6,3,5,7]=>2
[2,3,5,6,1,7,4]=>[1,2,3,5,4,7,6]=>2
[2,3,5,6,4,1,7]=>[1,2,3,6,5,4,7]=>2
[2,3,5,6,4,7,1]=>[1,2,3,5,4,7,6]=>2
[2,3,5,6,7,1,4]=>[1,2,3,5,7,4,6]=>2
[2,3,5,6,7,4,1]=>[1,2,3,4,7,6,5]=>2
[2,3,5,7,1,4,6]=>[1,3,5,7,2,4,6]=>3
[2,3,5,7,1,6,4]=>[1,2,4,7,3,6,5]=>3
[2,3,5,7,4,1,6]=>[1,2,5,7,4,3,6]=>3
[2,3,5,7,4,6,1]=>[1,2,4,7,3,6,5]=>3
[2,3,5,7,6,1,4]=>[1,2,4,7,6,3,5]=>3
[2,3,5,7,6,4,1]=>[1,2,3,7,6,5,4]=>3
[2,3,6,1,4,5,7]=>[1,3,6,2,4,5,7]=>2
[2,3,6,1,4,7,5]=>[1,3,5,2,4,7,6]=>3
[2,3,6,1,5,4,7]=>[1,3,6,2,5,4,7]=>3
[2,3,6,1,5,7,4]=>[1,3,5,2,4,7,6]=>3
[2,3,6,1,7,4,5]=>[1,3,5,2,7,4,6]=>3
[2,3,6,1,7,5,4]=>[1,2,4,3,7,6,5]=>3
[2,3,6,4,1,5,7]=>[1,2,6,4,3,5,7]=>2
[2,3,6,4,1,7,5]=>[1,2,5,4,3,7,6]=>3
[2,3,6,4,5,1,7]=>[1,2,6,3,5,4,7]=>2
[2,3,6,4,5,7,1]=>[1,2,5,3,4,7,6]=>2
[2,3,6,4,7,1,5]=>[1,2,5,4,7,3,6]=>3
[2,3,6,4,7,5,1]=>[1,2,4,3,7,6,5]=>3
[2,3,6,5,1,4,7]=>[1,3,6,5,2,4,7]=>3
[2,3,6,5,1,7,4]=>[1,2,5,4,3,7,6]=>3
[2,3,6,5,4,1,7]=>[1,2,6,5,4,3,7]=>3
[2,3,6,5,4,7,1]=>[1,2,5,4,3,7,6]=>3
[2,3,6,5,7,1,4]=>[1,2,5,4,7,3,6]=>3
[2,3,6,5,7,4,1]=>[1,2,4,3,7,6,5]=>3
[2,3,6,7,1,4,5]=>[1,3,5,7,2,4,6]=>3
[2,3,6,7,1,5,4]=>[1,2,4,7,3,6,5]=>3
[2,3,6,7,4,1,5]=>[1,2,5,7,4,3,6]=>3
[2,3,6,7,4,5,1]=>[1,2,4,7,3,6,5]=>3
[2,3,6,7,5,1,4]=>[1,2,4,7,6,3,5]=>3
[2,3,6,7,5,4,1]=>[1,2,3,7,6,5,4]=>3
[2,3,7,1,4,5,6]=>[1,3,7,2,4,5,6]=>2
[2,3,7,1,4,6,5]=>[1,3,7,2,4,6,5]=>3
[2,3,7,1,5,4,6]=>[1,3,7,2,5,4,6]=>3
[2,3,7,1,5,6,4]=>[1,3,7,2,4,6,5]=>3
[2,3,7,1,6,4,5]=>[1,3,7,2,6,4,5]=>3
[2,3,7,1,6,5,4]=>[1,3,7,2,6,5,4]=>4
[2,3,7,4,1,5,6]=>[1,2,7,4,3,5,6]=>2
[2,3,7,4,1,6,5]=>[1,2,7,4,3,6,5]=>3
[2,3,7,4,5,1,6]=>[1,2,7,3,5,4,6]=>2
[2,3,7,4,5,6,1]=>[1,2,7,3,4,6,5]=>2
[2,3,7,4,6,1,5]=>[1,2,7,4,6,3,5]=>3
[2,3,7,4,6,5,1]=>[1,2,7,3,6,5,4]=>3
[2,3,7,5,1,4,6]=>[1,3,7,5,2,4,6]=>3
[2,3,7,5,1,6,4]=>[1,2,7,4,3,6,5]=>3
[2,3,7,5,4,1,6]=>[1,2,7,5,4,3,6]=>3
[2,3,7,5,4,6,1]=>[1,2,7,4,3,6,5]=>3
[2,3,7,5,6,1,4]=>[1,2,7,4,6,3,5]=>3
[2,3,7,5,6,4,1]=>[1,2,7,3,6,5,4]=>3
[2,3,7,6,1,4,5]=>[1,3,7,6,2,4,5]=>3
[2,3,7,6,1,5,4]=>[1,3,7,6,2,5,4]=>4
[2,3,7,6,4,1,5]=>[1,2,7,6,4,3,5]=>3
[2,3,7,6,4,5,1]=>[1,2,7,6,3,5,4]=>3
[2,3,7,6,5,1,4]=>[1,3,7,6,5,2,4]=>4
[2,3,7,6,5,4,1]=>[1,2,7,6,5,4,3]=>4
[2,4,1,5,3,6,7]=>[1,3,2,5,4,6,7]=>2
[2,4,1,5,3,7,6]=>[1,3,2,5,4,7,6]=>3
[2,4,1,5,6,3,7]=>[1,3,2,4,6,5,7]=>2
[2,4,1,5,6,7,3]=>[1,3,2,4,5,7,6]=>2
[2,4,1,5,7,3,6]=>[1,3,2,5,7,4,6]=>3
[2,4,1,5,7,6,3]=>[1,3,2,4,7,6,5]=>3
[2,4,1,6,3,7,5]=>[1,3,2,5,4,7,6]=>3
[2,4,1,6,5,3,7]=>[1,3,2,6,5,4,7]=>3
[2,4,1,6,5,7,3]=>[1,3,2,5,4,7,6]=>3
[2,4,1,6,7,3,5]=>[1,3,2,5,7,4,6]=>3
[2,4,1,6,7,5,3]=>[1,3,2,4,7,6,5]=>3
[2,4,1,7,5,3,6]=>[1,3,2,7,5,4,6]=>3
[2,4,1,7,5,6,3]=>[1,3,2,7,4,6,5]=>3
[2,4,1,7,6,5,3]=>[1,3,2,7,6,5,4]=>4
[2,4,3,1,5,6,7]=>[1,4,3,2,5,6,7]=>2
[2,4,3,1,5,7,6]=>[1,4,3,2,5,7,6]=>3
[2,4,3,1,6,5,7]=>[1,4,3,2,6,5,7]=>3
[2,4,3,1,6,7,5]=>[1,4,3,2,5,7,6]=>3
[2,4,3,1,7,5,6]=>[1,4,3,2,7,5,6]=>3
[2,4,3,1,7,6,5]=>[1,4,3,2,7,6,5]=>4
[2,4,3,5,1,6,7]=>[1,3,2,5,4,6,7]=>2
[2,4,3,5,1,7,6]=>[1,3,2,5,4,7,6]=>3
[2,4,3,5,6,1,7]=>[1,3,2,4,6,5,7]=>2
[2,4,3,5,6,7,1]=>[1,3,2,4,5,7,6]=>2
[2,4,3,5,7,1,6]=>[1,3,2,5,7,4,6]=>3
[2,4,3,5,7,6,1]=>[1,3,2,4,7,6,5]=>3
[2,4,3,6,1,5,7]=>[1,4,3,6,2,5,7]=>3
[2,4,3,6,1,7,5]=>[1,3,2,5,4,7,6]=>3
[2,4,3,6,5,1,7]=>[1,3,2,6,5,4,7]=>3
[2,4,3,6,5,7,1]=>[1,3,2,5,4,7,6]=>3
[2,4,3,6,7,1,5]=>[1,3,2,5,7,4,6]=>3
[2,4,3,6,7,5,1]=>[1,3,2,4,7,6,5]=>3
[2,4,3,7,1,5,6]=>[1,4,3,7,2,5,6]=>3
[2,4,3,7,1,6,5]=>[1,4,3,7,2,6,5]=>4
[2,4,3,7,5,1,6]=>[1,3,2,7,5,4,6]=>3
[2,4,3,7,5,6,1]=>[1,3,2,7,4,6,5]=>3
[2,4,3,7,6,1,5]=>[1,4,3,7,6,2,5]=>4
[2,4,3,7,6,5,1]=>[1,3,2,7,6,5,4]=>4
[2,4,5,1,3,6,7]=>[1,3,5,2,4,6,7]=>2
[2,4,5,1,3,7,6]=>[1,3,5,2,4,7,6]=>3
[2,4,5,1,6,3,7]=>[1,2,4,3,6,5,7]=>2
[2,4,5,1,6,7,3]=>[1,2,4,3,5,7,6]=>2
[2,4,5,1,7,3,6]=>[1,3,5,2,7,4,6]=>3
[2,4,5,1,7,6,3]=>[1,2,4,3,7,6,5]=>3
[2,4,5,3,1,6,7]=>[1,2,5,4,3,6,7]=>2
[2,4,5,3,1,7,6]=>[1,2,5,4,3,7,6]=>3
[2,4,5,3,6,1,7]=>[1,2,4,3,6,5,7]=>2
[2,4,5,3,6,7,1]=>[1,2,4,3,5,7,6]=>2
[2,4,5,3,7,1,6]=>[1,2,5,4,7,3,6]=>3
[2,4,5,3,7,6,1]=>[1,2,4,3,7,6,5]=>3
[2,4,5,6,1,3,7]=>[1,2,4,6,3,5,7]=>2
[2,4,5,6,1,7,3]=>[1,2,3,5,4,7,6]=>2
[2,4,5,6,3,1,7]=>[1,2,3,6,5,4,7]=>2
[2,4,5,6,3,7,1]=>[1,2,3,5,4,7,6]=>2
[2,4,5,6,7,1,3]=>[1,2,3,5,7,4,6]=>2
[2,4,5,6,7,3,1]=>[1,2,3,4,7,6,5]=>2
[2,4,5,7,1,3,6]=>[1,3,5,7,2,4,6]=>3
[2,4,5,7,1,6,3]=>[1,2,4,7,3,6,5]=>3
[2,4,5,7,3,1,6]=>[1,2,5,7,4,3,6]=>3
[2,4,5,7,3,6,1]=>[1,2,4,7,3,6,5]=>3
[2,4,5,7,6,1,3]=>[1,2,4,7,6,3,5]=>3
[2,4,5,7,6,3,1]=>[1,2,3,7,6,5,4]=>3
[2,4,6,1,3,7,5]=>[1,3,5,2,4,7,6]=>3
[2,4,6,1,5,3,7]=>[1,3,6,2,5,4,7]=>3
[2,4,6,1,5,7,3]=>[1,3,5,2,4,7,6]=>3
[2,4,6,1,7,3,5]=>[1,3,5,2,7,4,6]=>3
[2,4,6,1,7,5,3]=>[1,2,4,3,7,6,5]=>3
[2,4,6,3,1,5,7]=>[1,4,6,3,2,5,7]=>3
[2,4,6,3,1,7,5]=>[1,2,5,4,3,7,6]=>3
[2,4,6,3,5,1,7]=>[1,3,6,2,5,4,7]=>3
[2,4,6,3,5,7,1]=>[1,3,5,2,4,7,6]=>3
[2,4,6,3,7,1,5]=>[1,2,5,4,7,3,6]=>3
[2,4,6,3,7,5,1]=>[1,2,4,3,7,6,5]=>3
[2,4,6,5,1,3,7]=>[1,3,6,5,2,4,7]=>3
[2,4,6,5,1,7,3]=>[1,2,5,4,3,7,6]=>3
[2,4,6,5,3,1,7]=>[1,2,6,5,4,3,7]=>3
[2,4,6,5,3,7,1]=>[1,2,5,4,3,7,6]=>3
[2,4,6,5,7,1,3]=>[1,2,5,4,7,3,6]=>3
[2,4,6,5,7,3,1]=>[1,2,4,3,7,6,5]=>3
[2,4,6,7,1,3,5]=>[1,3,5,7,2,4,6]=>3
[2,4,6,7,1,5,3]=>[1,2,4,7,3,6,5]=>3
[2,4,6,7,3,1,5]=>[1,2,5,7,4,3,6]=>3
[2,4,6,7,3,5,1]=>[1,2,4,7,3,6,5]=>3
[2,4,6,7,5,1,3]=>[1,2,4,7,6,3,5]=>3
[2,4,6,7,5,3,1]=>[1,2,3,7,6,5,4]=>3
[2,4,7,1,5,3,6]=>[1,3,7,2,5,4,6]=>3
[2,4,7,1,5,6,3]=>[1,3,7,2,4,6,5]=>3
[2,4,7,1,6,5,3]=>[1,3,7,2,6,5,4]=>4
[2,4,7,3,5,1,6]=>[1,3,7,2,5,4,6]=>3
[2,4,7,3,5,6,1]=>[1,3,7,2,4,6,5]=>3
[2,4,7,3,6,5,1]=>[1,3,7,2,6,5,4]=>4
[2,4,7,5,1,3,6]=>[1,3,7,5,2,4,6]=>3
[2,4,7,5,1,6,3]=>[1,2,7,4,3,6,5]=>3
[2,4,7,5,3,1,6]=>[1,2,7,5,4,3,6]=>3
[2,4,7,5,3,6,1]=>[1,2,7,4,3,6,5]=>3
[2,4,7,5,6,1,3]=>[1,2,7,4,6,3,5]=>3
[2,4,7,5,6,3,1]=>[1,2,7,3,6,5,4]=>3
[2,4,7,6,1,5,3]=>[1,3,7,6,2,5,4]=>4
[2,4,7,6,3,5,1]=>[1,3,7,6,2,5,4]=>4
[2,4,7,6,5,1,3]=>[1,3,7,6,5,2,4]=>4
[2,4,7,6,5,3,1]=>[1,2,7,6,5,4,3]=>4
[2,5,1,6,3,7,4]=>[1,3,2,5,4,7,6]=>3
[2,5,1,6,4,3,7]=>[1,3,2,6,5,4,7]=>3
[2,5,1,6,4,7,3]=>[1,3,2,5,4,7,6]=>3
[2,5,1,6,7,3,4]=>[1,3,2,5,7,4,6]=>3
[2,5,1,6,7,4,3]=>[1,3,2,4,7,6,5]=>3
[2,5,1,7,6,4,3]=>[1,3,2,7,6,5,4]=>4
[2,5,3,1,6,4,7]=>[1,4,3,2,6,5,7]=>3
[2,5,3,1,6,7,4]=>[1,4,3,2,5,7,6]=>3
[2,5,3,1,7,6,4]=>[1,4,3,2,7,6,5]=>4
[2,5,3,4,6,1,7]=>[1,4,2,3,6,5,7]=>2
[2,5,3,4,6,7,1]=>[1,4,2,3,5,7,6]=>2
[2,5,3,4,7,6,1]=>[1,4,2,3,7,6,5]=>3
[2,5,3,6,1,4,7]=>[1,4,3,6,2,5,7]=>3
[2,5,3,6,1,7,4]=>[1,3,2,5,4,7,6]=>3
[2,5,3,6,4,1,7]=>[1,3,2,6,5,4,7]=>3
[2,5,3,6,4,7,1]=>[1,3,2,5,4,7,6]=>3
[2,5,3,6,7,1,4]=>[1,3,2,5,7,4,6]=>3
[2,5,3,6,7,4,1]=>[1,3,2,4,7,6,5]=>3
[2,5,3,7,1,6,4]=>[1,4,3,7,2,6,5]=>4
[2,5,3,7,4,6,1]=>[1,4,2,7,3,6,5]=>3
[2,5,3,7,6,1,4]=>[1,4,3,7,6,2,5]=>4
[2,5,3,7,6,4,1]=>[1,3,2,7,6,5,4]=>4
[2,5,4,1,6,3,7]=>[1,4,3,2,6,5,7]=>3
[2,5,4,1,6,7,3]=>[1,4,3,2,5,7,6]=>3
[2,5,4,1,7,6,3]=>[1,4,3,2,7,6,5]=>4
[2,5,4,3,6,1,7]=>[1,4,3,2,6,5,7]=>3
[2,5,4,3,6,7,1]=>[1,4,3,2,5,7,6]=>3
[2,5,4,3,7,6,1]=>[1,4,3,2,7,6,5]=>4
[2,5,4,6,1,3,7]=>[1,4,3,6,2,5,7]=>3
[2,5,4,6,1,7,3]=>[1,3,2,5,4,7,6]=>3
[2,5,4,6,3,1,7]=>[1,3,2,6,5,4,7]=>3
[2,5,4,6,3,7,1]=>[1,3,2,5,4,7,6]=>3
[2,5,4,6,7,1,3]=>[1,3,2,5,7,4,6]=>3
[2,5,4,6,7,3,1]=>[1,3,2,4,7,6,5]=>3
[2,5,4,7,1,6,3]=>[1,4,3,7,2,6,5]=>4
[2,5,4,7,3,6,1]=>[1,4,3,7,2,6,5]=>4
[2,5,4,7,6,1,3]=>[1,4,3,7,6,2,5]=>4
[2,5,4,7,6,3,1]=>[1,3,2,7,6,5,4]=>4
[2,5,6,1,3,7,4]=>[1,3,5,2,4,7,6]=>3
[2,5,6,1,4,3,7]=>[1,3,6,2,5,4,7]=>3
[2,5,6,1,4,7,3]=>[1,3,5,2,4,7,6]=>3
[2,5,6,1,7,3,4]=>[1,3,5,2,7,4,6]=>3
[2,5,6,1,7,4,3]=>[1,2,4,3,7,6,5]=>3
[2,5,6,3,1,4,7]=>[1,4,6,3,2,5,7]=>3
[2,5,6,3,1,7,4]=>[1,2,5,4,3,7,6]=>3
[2,5,6,3,4,1,7]=>[1,3,6,2,5,4,7]=>3
[2,5,6,3,4,7,1]=>[1,3,5,2,4,7,6]=>3
[2,5,6,3,7,1,4]=>[1,2,5,4,7,3,6]=>3
[2,5,6,3,7,4,1]=>[1,2,4,3,7,6,5]=>3
[2,5,6,4,1,3,7]=>[1,3,6,5,2,4,7]=>3
[2,5,6,4,1,7,3]=>[1,2,5,4,3,7,6]=>3
[2,5,6,4,3,1,7]=>[1,2,6,5,4,3,7]=>3
[2,5,6,4,3,7,1]=>[1,2,5,4,3,7,6]=>3
[2,5,6,4,7,1,3]=>[1,2,5,4,7,3,6]=>3
[2,5,6,4,7,3,1]=>[1,2,4,3,7,6,5]=>3
[2,5,6,7,1,3,4]=>[1,3,5,7,2,4,6]=>3
[2,5,6,7,1,4,3]=>[1,2,4,7,3,6,5]=>3
[2,5,6,7,3,1,4]=>[1,2,5,7,4,3,6]=>3
[2,5,6,7,3,4,1]=>[1,2,4,7,3,6,5]=>3
[2,5,6,7,4,1,3]=>[1,2,4,7,6,3,5]=>3
[2,5,6,7,4,3,1]=>[1,2,3,7,6,5,4]=>3
[2,5,7,1,6,4,3]=>[1,3,7,2,6,5,4]=>4
[2,5,7,3,6,4,1]=>[1,3,7,2,6,5,4]=>4
[2,5,7,4,6,3,1]=>[1,3,7,2,6,5,4]=>4
[2,5,7,6,1,4,3]=>[1,3,7,6,2,5,4]=>4
[2,5,7,6,3,4,1]=>[1,3,7,6,2,5,4]=>4
[2,5,7,6,4,1,3]=>[1,3,7,6,5,2,4]=>4
[2,5,7,6,4,3,1]=>[1,2,7,6,5,4,3]=>4
[2,6,1,7,5,4,3]=>[1,3,2,7,6,5,4]=>4
[2,6,3,1,7,5,4]=>[1,4,3,2,7,6,5]=>4
[2,6,3,4,7,5,1]=>[1,4,2,3,7,6,5]=>3
[2,6,3,5,7,4,1]=>[1,4,2,3,7,6,5]=>3
[2,6,3,7,1,5,4]=>[1,4,3,7,2,6,5]=>4
[2,6,3,7,4,5,1]=>[1,4,2,7,3,6,5]=>3
[2,6,3,7,5,1,4]=>[1,4,3,7,6,2,5]=>4
[2,6,3,7,5,4,1]=>[1,3,2,7,6,5,4]=>4
[2,6,4,1,7,5,3]=>[1,4,3,2,7,6,5]=>4
[2,6,4,3,7,5,1]=>[1,4,3,2,7,6,5]=>4
[2,6,4,5,7,3,1]=>[1,4,2,3,7,6,5]=>3
[2,6,4,7,1,5,3]=>[1,4,3,7,2,6,5]=>4
[2,6,4,7,3,5,1]=>[1,4,3,7,2,6,5]=>4
[2,6,4,7,5,1,3]=>[1,4,3,7,6,2,5]=>4
[2,6,4,7,5,3,1]=>[1,3,2,7,6,5,4]=>4
[2,6,5,1,7,4,3]=>[1,4,3,2,7,6,5]=>4
[2,6,5,3,7,4,1]=>[1,4,3,2,7,6,5]=>4
[2,6,5,4,7,3,1]=>[1,4,3,2,7,6,5]=>4
[2,6,5,7,1,4,3]=>[1,4,3,7,2,6,5]=>4
[2,6,5,7,3,4,1]=>[1,4,3,7,2,6,5]=>4
[2,6,5,7,4,1,3]=>[1,4,3,7,6,2,5]=>4
[2,6,5,7,4,3,1]=>[1,3,2,7,6,5,4]=>4
[2,6,7,1,5,4,3]=>[1,3,7,2,6,5,4]=>4
[2,6,7,3,5,4,1]=>[1,3,7,2,6,5,4]=>4
[2,6,7,4,5,3,1]=>[1,3,7,2,6,5,4]=>4
[2,6,7,5,1,4,3]=>[1,3,7,6,2,5,4]=>4
[2,6,7,5,3,4,1]=>[1,3,7,6,2,5,4]=>4
[2,6,7,5,4,1,3]=>[1,3,7,6,5,2,4]=>4
[2,6,7,5,4,3,1]=>[1,2,7,6,5,4,3]=>4
[3,4,1,5,2,6,7]=>[1,3,2,5,4,6,7]=>2
[3,4,1,5,2,7,6]=>[1,3,2,5,4,7,6]=>3
[3,4,1,5,6,2,7]=>[1,3,2,4,6,5,7]=>2
[3,4,1,5,6,7,2]=>[1,3,2,4,5,7,6]=>2
[3,4,1,5,7,2,6]=>[1,3,2,5,7,4,6]=>3
[3,4,1,5,7,6,2]=>[1,3,2,4,7,6,5]=>3
[3,4,1,6,2,7,5]=>[1,3,2,5,4,7,6]=>3
[3,4,1,6,5,2,7]=>[1,3,2,6,5,4,7]=>3
[3,4,1,6,5,7,2]=>[1,3,2,5,4,7,6]=>3
[3,4,1,6,7,2,5]=>[1,3,2,5,7,4,6]=>3
[3,4,1,6,7,5,2]=>[1,3,2,4,7,6,5]=>3
[3,4,1,7,5,2,6]=>[1,3,2,7,5,4,6]=>3
[3,4,1,7,5,6,2]=>[1,3,2,7,4,6,5]=>3
[3,4,1,7,6,5,2]=>[1,3,2,7,6,5,4]=>4
[3,4,2,1,5,6,7]=>[1,4,3,2,5,6,7]=>2
[3,4,2,1,5,7,6]=>[1,4,3,2,5,7,6]=>3
[3,4,2,1,6,5,7]=>[1,4,3,2,6,5,7]=>3
[3,4,2,1,6,7,5]=>[1,4,3,2,5,7,6]=>3
[3,4,2,1,7,5,6]=>[1,4,3,2,7,5,6]=>3
[3,4,2,1,7,6,5]=>[1,4,3,2,7,6,5]=>4
[3,4,2,5,1,6,7]=>[1,3,2,5,4,6,7]=>2
[3,4,2,5,1,7,6]=>[1,3,2,5,4,7,6]=>3
[3,4,2,5,6,1,7]=>[1,3,2,4,6,5,7]=>2
[3,4,2,5,6,7,1]=>[1,3,2,4,5,7,6]=>2
[3,4,2,5,7,1,6]=>[1,3,2,5,7,4,6]=>3
[3,4,2,5,7,6,1]=>[1,3,2,4,7,6,5]=>3
[3,4,2,6,1,5,7]=>[1,4,3,6,2,5,7]=>3
[3,4,2,6,1,7,5]=>[1,3,2,5,4,7,6]=>3
[3,4,2,6,5,1,7]=>[1,3,2,6,5,4,7]=>3
[3,4,2,6,5,7,1]=>[1,3,2,5,4,7,6]=>3
[3,4,2,6,7,1,5]=>[1,3,2,5,7,4,6]=>3
[3,4,2,6,7,5,1]=>[1,3,2,4,7,6,5]=>3
[3,4,2,7,1,5,6]=>[1,4,3,7,2,5,6]=>3
[3,4,2,7,1,6,5]=>[1,4,3,7,2,6,5]=>4
[3,4,2,7,5,1,6]=>[1,3,2,7,5,4,6]=>3
[3,4,2,7,5,6,1]=>[1,3,2,7,4,6,5]=>3
[3,4,2,7,6,1,5]=>[1,4,3,7,6,2,5]=>4
[3,4,2,7,6,5,1]=>[1,3,2,7,6,5,4]=>4
[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7]=>2
[3,4,5,1,2,7,6]=>[1,3,5,2,4,7,6]=>3
[3,4,5,1,6,2,7]=>[1,2,4,3,6,5,7]=>2
[3,4,5,1,6,7,2]=>[1,2,4,3,5,7,6]=>2
[3,4,5,1,7,2,6]=>[1,3,5,2,7,4,6]=>3
[3,4,5,1,7,6,2]=>[1,2,4,3,7,6,5]=>3
[3,4,5,2,1,6,7]=>[1,2,5,4,3,6,7]=>2
[3,4,5,2,1,7,6]=>[1,2,5,4,3,7,6]=>3
[3,4,5,2,6,1,7]=>[1,2,4,3,6,5,7]=>2
[3,4,5,2,6,7,1]=>[1,2,4,3,5,7,6]=>2
[3,4,5,2,7,1,6]=>[1,2,5,4,7,3,6]=>3
[3,4,5,2,7,6,1]=>[1,2,4,3,7,6,5]=>3
[3,4,5,6,1,2,7]=>[1,2,4,6,3,5,7]=>2
[3,4,5,6,1,7,2]=>[1,2,3,5,4,7,6]=>2
[3,4,5,6,2,1,7]=>[1,2,3,6,5,4,7]=>2
[3,4,5,6,2,7,1]=>[1,2,3,5,4,7,6]=>2
[3,4,5,6,7,1,2]=>[1,2,3,5,7,4,6]=>2
[3,4,5,6,7,2,1]=>[1,2,3,4,7,6,5]=>2
[3,4,5,7,1,2,6]=>[1,3,5,7,2,4,6]=>3
[3,4,5,7,1,6,2]=>[1,2,4,7,3,6,5]=>3
[3,4,5,7,2,1,6]=>[1,2,5,7,4,3,6]=>3
[3,4,5,7,2,6,1]=>[1,2,4,7,3,6,5]=>3
[3,4,5,7,6,1,2]=>[1,2,4,7,6,3,5]=>3
[3,4,5,7,6,2,1]=>[1,2,3,7,6,5,4]=>3
[3,4,6,1,2,7,5]=>[1,3,5,2,4,7,6]=>3
[3,4,6,1,5,2,7]=>[1,3,6,2,5,4,7]=>3
[3,4,6,1,5,7,2]=>[1,3,5,2,4,7,6]=>3
[3,4,6,1,7,2,5]=>[1,3,5,2,7,4,6]=>3
[3,4,6,1,7,5,2]=>[1,2,4,3,7,6,5]=>3
[3,4,6,2,1,5,7]=>[1,4,6,3,2,5,7]=>3
[3,4,6,2,1,7,5]=>[1,2,5,4,3,7,6]=>3
[3,4,6,2,5,1,7]=>[1,3,6,2,5,4,7]=>3
[3,4,6,2,5,7,1]=>[1,3,5,2,4,7,6]=>3
[3,4,6,2,7,1,5]=>[1,2,5,4,7,3,6]=>3
[3,4,6,2,7,5,1]=>[1,2,4,3,7,6,5]=>3
[3,4,6,5,1,2,7]=>[1,3,6,5,2,4,7]=>3
[3,4,6,5,1,7,2]=>[1,2,5,4,3,7,6]=>3
[3,4,6,5,2,1,7]=>[1,2,6,5,4,3,7]=>3
[3,4,6,5,2,7,1]=>[1,2,5,4,3,7,6]=>3
[3,4,6,5,7,1,2]=>[1,2,5,4,7,3,6]=>3
[3,4,6,5,7,2,1]=>[1,2,4,3,7,6,5]=>3
[3,4,6,7,1,2,5]=>[1,3,5,7,2,4,6]=>3
[3,4,6,7,1,5,2]=>[1,2,4,7,3,6,5]=>3
[3,4,6,7,2,1,5]=>[1,2,5,7,4,3,6]=>3
[3,4,6,7,2,5,1]=>[1,2,4,7,3,6,5]=>3
[3,4,6,7,5,1,2]=>[1,2,4,7,6,3,5]=>3
[3,4,6,7,5,2,1]=>[1,2,3,7,6,5,4]=>3
[3,4,7,1,5,2,6]=>[1,3,7,2,5,4,6]=>3
[3,4,7,1,5,6,2]=>[1,3,7,2,4,6,5]=>3
[3,4,7,1,6,5,2]=>[1,3,7,2,6,5,4]=>4
[3,4,7,2,5,1,6]=>[1,3,7,2,5,4,6]=>3
[3,4,7,2,5,6,1]=>[1,3,7,2,4,6,5]=>3
[3,4,7,2,6,5,1]=>[1,3,7,2,6,5,4]=>4
[3,4,7,5,1,2,6]=>[1,3,7,5,2,4,6]=>3
[3,4,7,5,1,6,2]=>[1,2,7,4,3,6,5]=>3
[3,4,7,5,2,1,6]=>[1,2,7,5,4,3,6]=>3
[3,4,7,5,2,6,1]=>[1,2,7,4,3,6,5]=>3
[3,4,7,5,6,1,2]=>[1,2,7,4,6,3,5]=>3
[3,4,7,5,6,2,1]=>[1,2,7,3,6,5,4]=>3
[3,4,7,6,1,5,2]=>[1,3,7,6,2,5,4]=>4
[3,4,7,6,2,5,1]=>[1,3,7,6,2,5,4]=>4
[3,4,7,6,5,1,2]=>[1,3,7,6,5,2,4]=>4
[3,4,7,6,5,2,1]=>[1,2,7,6,5,4,3]=>4
[3,5,1,6,2,7,4]=>[1,3,2,5,4,7,6]=>3
[3,5,1,6,4,2,7]=>[1,3,2,6,5,4,7]=>3
[3,5,1,6,4,7,2]=>[1,3,2,5,4,7,6]=>3
[3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>3
[3,5,1,6,7,4,2]=>[1,3,2,4,7,6,5]=>3
[3,5,1,7,6,4,2]=>[1,3,2,7,6,5,4]=>4
[3,5,2,1,6,4,7]=>[1,4,3,2,6,5,7]=>3
[3,5,2,1,6,7,4]=>[1,4,3,2,5,7,6]=>3
[3,5,2,1,7,6,4]=>[1,4,3,2,7,6,5]=>4
[3,5,2,6,1,4,7]=>[1,4,3,6,2,5,7]=>3
[3,5,2,6,1,7,4]=>[1,3,2,5,4,7,6]=>3
[3,5,2,6,4,1,7]=>[1,3,2,6,5,4,7]=>3
[3,5,2,6,4,7,1]=>[1,3,2,5,4,7,6]=>3
[3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>3
[3,5,2,6,7,4,1]=>[1,3,2,4,7,6,5]=>3
[3,5,2,7,1,6,4]=>[1,4,3,7,2,6,5]=>4
[3,5,2,7,6,1,4]=>[1,4,3,7,6,2,5]=>4
[3,5,2,7,6,4,1]=>[1,3,2,7,6,5,4]=>4
[3,5,4,1,6,2,7]=>[1,4,3,2,6,5,7]=>3
[3,5,4,1,6,7,2]=>[1,4,3,2,5,7,6]=>3
[3,5,4,1,7,6,2]=>[1,4,3,2,7,6,5]=>4
[3,5,4,2,6,1,7]=>[1,4,3,2,6,5,7]=>3
[3,5,4,2,6,7,1]=>[1,4,3,2,5,7,6]=>3
[3,5,4,2,7,6,1]=>[1,4,3,2,7,6,5]=>4
[3,5,4,6,1,2,7]=>[1,4,3,6,2,5,7]=>3
[3,5,4,6,1,7,2]=>[1,3,2,5,4,7,6]=>3
[3,5,4,6,2,1,7]=>[1,3,2,6,5,4,7]=>3
[3,5,4,6,2,7,1]=>[1,3,2,5,4,7,6]=>3
[3,5,4,6,7,1,2]=>[1,3,2,5,7,4,6]=>3
[3,5,4,6,7,2,1]=>[1,3,2,4,7,6,5]=>3
[3,5,4,7,1,6,2]=>[1,4,3,7,2,6,5]=>4
[3,5,4,7,2,6,1]=>[1,4,3,7,2,6,5]=>4
[3,5,4,7,6,1,2]=>[1,4,3,7,6,2,5]=>4
[3,5,4,7,6,2,1]=>[1,3,2,7,6,5,4]=>4
[3,5,6,1,2,7,4]=>[1,3,5,2,4,7,6]=>3
[3,5,6,1,4,2,7]=>[1,3,6,2,5,4,7]=>3
[3,5,6,1,4,7,2]=>[1,3,5,2,4,7,6]=>3
[3,5,6,1,7,2,4]=>[1,3,5,2,7,4,6]=>3
[3,5,6,1,7,4,2]=>[1,2,4,3,7,6,5]=>3
[3,5,6,2,1,4,7]=>[1,4,6,3,2,5,7]=>3
[3,5,6,2,1,7,4]=>[1,2,5,4,3,7,6]=>3
[3,5,6,2,4,1,7]=>[1,3,6,2,5,4,7]=>3
[3,5,6,2,4,7,1]=>[1,3,5,2,4,7,6]=>3
[3,5,6,2,7,1,4]=>[1,2,5,4,7,3,6]=>3
[3,5,6,2,7,4,1]=>[1,2,4,3,7,6,5]=>3
[3,5,6,4,1,2,7]=>[1,3,6,5,2,4,7]=>3
[3,5,6,4,1,7,2]=>[1,2,5,4,3,7,6]=>3
[3,5,6,4,2,1,7]=>[1,2,6,5,4,3,7]=>3
[3,5,6,4,2,7,1]=>[1,2,5,4,3,7,6]=>3
[3,5,6,4,7,1,2]=>[1,2,5,4,7,3,6]=>3
[3,5,6,4,7,2,1]=>[1,2,4,3,7,6,5]=>3
[3,5,6,7,1,2,4]=>[1,3,5,7,2,4,6]=>3
[3,5,6,7,1,4,2]=>[1,2,4,7,3,6,5]=>3
[3,5,6,7,2,1,4]=>[1,2,5,7,4,3,6]=>3
[3,5,6,7,2,4,1]=>[1,2,4,7,3,6,5]=>3
[3,5,6,7,4,1,2]=>[1,2,4,7,6,3,5]=>3
[3,5,6,7,4,2,1]=>[1,2,3,7,6,5,4]=>3
[3,5,7,1,6,4,2]=>[1,3,7,2,6,5,4]=>4
[3,5,7,2,6,4,1]=>[1,3,7,2,6,5,4]=>4
[3,5,7,4,6,2,1]=>[1,3,7,2,6,5,4]=>4
[3,5,7,6,1,4,2]=>[1,3,7,6,2,5,4]=>4
[3,5,7,6,2,4,1]=>[1,3,7,6,2,5,4]=>4
[3,5,7,6,4,1,2]=>[1,3,7,6,5,2,4]=>4
[3,5,7,6,4,2,1]=>[1,2,7,6,5,4,3]=>4
[3,6,1,7,5,4,2]=>[1,3,2,7,6,5,4]=>4
[3,6,2,1,7,5,4]=>[1,4,3,2,7,6,5]=>4
[3,6,2,7,1,5,4]=>[1,4,3,7,2,6,5]=>4
[3,6,2,7,5,1,4]=>[1,4,3,7,6,2,5]=>4
[3,6,2,7,5,4,1]=>[1,3,2,7,6,5,4]=>4
[3,6,4,1,7,5,2]=>[1,4,3,2,7,6,5]=>4
[3,6,4,2,7,5,1]=>[1,4,3,2,7,6,5]=>4
[3,6,4,5,7,2,1]=>[1,4,2,3,7,6,5]=>3
[3,6,4,7,1,5,2]=>[1,4,3,7,2,6,5]=>4
[3,6,4,7,2,5,1]=>[1,4,3,7,2,6,5]=>4
[3,6,4,7,5,1,2]=>[1,4,3,7,6,2,5]=>4
[3,6,4,7,5,2,1]=>[1,3,2,7,6,5,4]=>4
[3,6,5,1,7,4,2]=>[1,4,3,2,7,6,5]=>4
[3,6,5,2,7,4,1]=>[1,4,3,2,7,6,5]=>4
[3,6,5,4,7,2,1]=>[1,4,3,2,7,6,5]=>4
[3,6,5,7,1,4,2]=>[1,4,3,7,2,6,5]=>4
[3,6,5,7,2,4,1]=>[1,4,3,7,2,6,5]=>4
[3,6,5,7,4,1,2]=>[1,4,3,7,6,2,5]=>4
[3,6,5,7,4,2,1]=>[1,3,2,7,6,5,4]=>4
[3,6,7,1,5,4,2]=>[1,3,7,2,6,5,4]=>4
[3,6,7,2,5,4,1]=>[1,3,7,2,6,5,4]=>4
[3,6,7,4,5,2,1]=>[1,3,7,2,6,5,4]=>4
[3,6,7,5,1,4,2]=>[1,3,7,6,2,5,4]=>4
[3,6,7,5,2,4,1]=>[1,3,7,6,2,5,4]=>4
[3,6,7,5,4,1,2]=>[1,3,7,6,5,2,4]=>4
[3,6,7,5,4,2,1]=>[1,2,7,6,5,4,3]=>4
[4,5,1,6,2,7,3]=>[1,3,2,5,4,7,6]=>3
[4,5,1,6,3,2,7]=>[1,3,2,6,5,4,7]=>3
[4,5,1,6,3,7,2]=>[1,3,2,5,4,7,6]=>3
[4,5,1,6,7,2,3]=>[1,3,2,5,7,4,6]=>3
[4,5,1,6,7,3,2]=>[1,3,2,4,7,6,5]=>3
[4,5,1,7,6,3,2]=>[1,3,2,7,6,5,4]=>4
[4,5,2,1,6,3,7]=>[1,4,3,2,6,5,7]=>3
[4,5,2,1,6,7,3]=>[1,4,3,2,5,7,6]=>3
[4,5,2,1,7,6,3]=>[1,4,3,2,7,6,5]=>4
[4,5,2,6,1,3,7]=>[1,4,3,6,2,5,7]=>3
[4,5,2,6,1,7,3]=>[1,3,2,5,4,7,6]=>3
[4,5,2,6,3,1,7]=>[1,3,2,6,5,4,7]=>3
[4,5,2,6,3,7,1]=>[1,3,2,5,4,7,6]=>3
[4,5,2,6,7,1,3]=>[1,3,2,5,7,4,6]=>3
[4,5,2,6,7,3,1]=>[1,3,2,4,7,6,5]=>3
[4,5,2,7,1,6,3]=>[1,4,3,7,2,6,5]=>4
[4,5,2,7,6,1,3]=>[1,4,3,7,6,2,5]=>4
[4,5,2,7,6,3,1]=>[1,3,2,7,6,5,4]=>4
[4,5,3,1,6,2,7]=>[1,4,3,2,6,5,7]=>3
[4,5,3,1,6,7,2]=>[1,4,3,2,5,7,6]=>3
[4,5,3,1,7,6,2]=>[1,4,3,2,7,6,5]=>4
[4,5,3,2,6,1,7]=>[1,4,3,2,6,5,7]=>3
[4,5,3,2,6,7,1]=>[1,4,3,2,5,7,6]=>3
[4,5,3,2,7,6,1]=>[1,4,3,2,7,6,5]=>4
[4,5,3,6,1,2,7]=>[1,4,3,6,2,5,7]=>3
[4,5,3,6,1,7,2]=>[1,3,2,5,4,7,6]=>3
[4,5,3,6,2,1,7]=>[1,3,2,6,5,4,7]=>3
[4,5,3,6,2,7,1]=>[1,3,2,5,4,7,6]=>3
[4,5,3,6,7,1,2]=>[1,3,2,5,7,4,6]=>3
[4,5,3,6,7,2,1]=>[1,3,2,4,7,6,5]=>3
[4,5,3,7,1,6,2]=>[1,4,3,7,2,6,5]=>4
[4,5,3,7,2,6,1]=>[1,4,3,7,2,6,5]=>4
[4,5,3,7,6,1,2]=>[1,4,3,7,6,2,5]=>4
[4,5,3,7,6,2,1]=>[1,3,2,7,6,5,4]=>4
[4,5,6,1,2,7,3]=>[1,3,5,2,4,7,6]=>3
[4,5,6,1,3,2,7]=>[1,3,6,2,5,4,7]=>3
[4,5,6,1,3,7,2]=>[1,3,5,2,4,7,6]=>3
[4,5,6,1,7,2,3]=>[1,3,5,2,7,4,6]=>3
[4,5,6,1,7,3,2]=>[1,2,4,3,7,6,5]=>3
[4,5,6,2,1,3,7]=>[1,4,6,3,2,5,7]=>3
[4,5,6,2,1,7,3]=>[1,2,5,4,3,7,6]=>3
[4,5,6,2,3,1,7]=>[1,3,6,2,5,4,7]=>3
[4,5,6,2,3,7,1]=>[1,3,5,2,4,7,6]=>3
[4,5,6,2,7,1,3]=>[1,2,5,4,7,3,6]=>3
[4,5,6,2,7,3,1]=>[1,2,4,3,7,6,5]=>3
[4,5,6,3,1,2,7]=>[1,3,6,5,2,4,7]=>3
[4,5,6,3,1,7,2]=>[1,2,5,4,3,7,6]=>3
[4,5,6,3,2,1,7]=>[1,2,6,5,4,3,7]=>3
[4,5,6,3,2,7,1]=>[1,2,5,4,3,7,6]=>3
[4,5,6,3,7,1,2]=>[1,2,5,4,7,3,6]=>3
[4,5,6,3,7,2,1]=>[1,2,4,3,7,6,5]=>3
[4,5,6,7,1,2,3]=>[1,3,5,7,2,4,6]=>3
[4,5,6,7,1,3,2]=>[1,2,4,7,3,6,5]=>3
[4,5,6,7,2,1,3]=>[1,2,5,7,4,3,6]=>3
[4,5,6,7,2,3,1]=>[1,2,4,7,3,6,5]=>3
[4,5,6,7,3,1,2]=>[1,2,4,7,6,3,5]=>3
[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>3
[4,5,7,1,6,3,2]=>[1,3,7,2,6,5,4]=>4
[4,5,7,2,6,3,1]=>[1,3,7,2,6,5,4]=>4
[4,5,7,3,6,2,1]=>[1,3,7,2,6,5,4]=>4
[4,5,7,6,1,3,2]=>[1,3,7,6,2,5,4]=>4
[4,5,7,6,2,3,1]=>[1,3,7,6,2,5,4]=>4
[4,5,7,6,3,1,2]=>[1,3,7,6,5,2,4]=>4
[4,5,7,6,3,2,1]=>[1,2,7,6,5,4,3]=>4
[4,6,1,7,5,3,2]=>[1,3,2,7,6,5,4]=>4
[4,6,2,1,7,5,3]=>[1,4,3,2,7,6,5]=>4
[4,6,2,7,1,5,3]=>[1,4,3,7,2,6,5]=>4
[4,6,2,7,5,1,3]=>[1,4,3,7,6,2,5]=>4
[4,6,2,7,5,3,1]=>[1,3,2,7,6,5,4]=>4
[4,6,3,1,7,5,2]=>[1,4,3,2,7,6,5]=>4
[4,6,3,2,7,5,1]=>[1,4,3,2,7,6,5]=>4
[4,6,3,7,1,5,2]=>[1,4,3,7,2,6,5]=>4
[4,6,3,7,2,5,1]=>[1,4,3,7,2,6,5]=>4
[4,6,3,7,5,1,2]=>[1,4,3,7,6,2,5]=>4
[4,6,3,7,5,2,1]=>[1,3,2,7,6,5,4]=>4
[4,6,5,1,7,3,2]=>[1,4,3,2,7,6,5]=>4
[4,6,5,2,7,3,1]=>[1,4,3,2,7,6,5]=>4
[4,6,5,3,7,2,1]=>[1,4,3,2,7,6,5]=>4
[4,6,5,7,1,3,2]=>[1,4,3,7,2,6,5]=>4
[4,6,5,7,2,3,1]=>[1,4,3,7,2,6,5]=>4
[4,6,5,7,3,1,2]=>[1,4,3,7,6,2,5]=>4
[4,6,5,7,3,2,1]=>[1,3,2,7,6,5,4]=>4
[4,6,7,1,5,3,2]=>[1,3,7,2,6,5,4]=>4
[4,6,7,2,5,3,1]=>[1,3,7,2,6,5,4]=>4
[4,6,7,3,5,2,1]=>[1,3,7,2,6,5,4]=>4
[4,6,7,5,1,3,2]=>[1,3,7,6,2,5,4]=>4
[4,6,7,5,2,3,1]=>[1,3,7,6,2,5,4]=>4
[4,6,7,5,3,1,2]=>[1,3,7,6,5,2,4]=>4
[4,6,7,5,3,2,1]=>[1,2,7,6,5,4,3]=>4
[5,6,1,7,4,3,2]=>[1,3,2,7,6,5,4]=>4
[5,6,2,1,7,4,3]=>[1,4,3,2,7,6,5]=>4
[5,6,2,7,1,4,3]=>[1,4,3,7,2,6,5]=>4
[5,6,2,7,4,1,3]=>[1,4,3,7,6,2,5]=>4
[5,6,2,7,4,3,1]=>[1,3,2,7,6,5,4]=>4
[5,6,3,1,7,4,2]=>[1,4,3,2,7,6,5]=>4
[5,6,3,2,7,4,1]=>[1,4,3,2,7,6,5]=>4
[5,6,3,7,1,4,2]=>[1,4,3,7,2,6,5]=>4
[5,6,3,7,2,4,1]=>[1,4,3,7,2,6,5]=>4
[5,6,3,7,4,1,2]=>[1,4,3,7,6,2,5]=>4
[5,6,3,7,4,2,1]=>[1,3,2,7,6,5,4]=>4
[5,6,4,1,7,3,2]=>[1,4,3,2,7,6,5]=>4
[5,6,4,2,7,3,1]=>[1,4,3,2,7,6,5]=>4
[5,6,4,3,7,2,1]=>[1,4,3,2,7,6,5]=>4
[5,6,4,7,1,3,2]=>[1,4,3,7,2,6,5]=>4
[5,6,4,7,2,3,1]=>[1,4,3,7,2,6,5]=>4
[5,6,4,7,3,1,2]=>[1,4,3,7,6,2,5]=>4
[5,6,4,7,3,2,1]=>[1,3,2,7,6,5,4]=>4
[5,6,7,1,4,3,2]=>[1,3,7,2,6,5,4]=>4
[5,6,7,2,4,3,1]=>[1,3,7,2,6,5,4]=>4
[5,6,7,3,4,2,1]=>[1,3,7,2,6,5,4]=>4
[5,6,7,4,1,3,2]=>[1,3,7,6,2,5,4]=>4
[5,6,7,4,2,3,1]=>[1,3,7,6,2,5,4]=>4
[5,6,7,4,3,1,2]=>[1,3,7,6,5,2,4]=>4
[5,6,7,4,3,2,1]=>[1,2,7,6,5,4,3]=>4
                    
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 4\ q + q^{2}$
$F_{4} = 1 + 9\ q + 13\ q^{2} + q^{3}$
$F_{5} = 1 + 16\ q + 61\ q^{2} + 41\ q^{3} + q^{4}$
$F_{6} = 1 + 25\ q + 181\ q^{2} + 381\ q^{3} + 131\ q^{4} + q^{5}$
Description
The maximum of the number of descents and the number of inverse descents.
This is, the maximum of St000021The number of descents of a permutation. and St000354The number of recoils of a permutation..
Map
Inverse fireworks map
Description
Sends a permutation to an inverse fireworks permutation.
A permutation
$\sigma$ is inverse fireworks if its inverse avoids the vincular pattern
$3-12$ . The inverse fireworks map sends any permutation
$\sigma$ to an inverse fireworks permutation that is below
$\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..