- FindStat

edit this statistic or download as text // json

Identifier

St000989: Permutations ⟶ ℤ

Values

=>
                            
                            
                            
                            

                        [1,2]=>1
[2,1]=>0
[1,2,3]=>2
[1,3,2]=>0
[2,1,3]=>1
[2,3,1]=>0
[3,1,2]=>1
[3,2,1]=>0
[1,2,3,4]=>3
[1,2,4,3]=>0
[1,3,2,4]=>1
[1,3,4,2]=>0
[1,4,2,3]=>1
[1,4,3,2]=>0
[2,1,3,4]=>2
[2,1,4,3]=>0
[2,3,1,4]=>1
[2,3,4,1]=>0
[2,4,1,3]=>1
[2,4,3,1]=>0
[3,1,2,4]=>2
[3,1,4,2]=>0
[3,2,1,4]=>1
[3,2,4,1]=>0
[3,4,1,2]=>1
[3,4,2,1]=>0
[4,1,2,3]=>2
[4,1,3,2]=>0
[4,2,1,3]=>1
[4,2,3,1]=>0
[4,3,1,2]=>1
[4,3,2,1]=>0
[1,2,3,4,5]=>4
[1,2,3,5,4]=>0
[1,2,4,3,5]=>1
[1,2,4,5,3]=>0
[1,2,5,3,4]=>1
[1,2,5,4,3]=>0
[1,3,2,4,5]=>2
[1,3,2,5,4]=>0
[1,3,4,2,5]=>1
[1,3,4,5,2]=>0
[1,3,5,2,4]=>1
[1,3,5,4,2]=>0
[1,4,2,3,5]=>2
[1,4,2,5,3]=>0
[1,4,3,2,5]=>1
[1,4,3,5,2]=>0
[1,4,5,2,3]=>1
[1,4,5,3,2]=>0
[1,5,2,3,4]=>2
[1,5,2,4,3]=>0
[1,5,3,2,4]=>1
[1,5,3,4,2]=>0
[1,5,4,2,3]=>1
[1,5,4,3,2]=>0
[2,1,3,4,5]=>3
[2,1,3,5,4]=>0
[2,1,4,3,5]=>1
[2,1,4,5,3]=>0
[2,1,5,3,4]=>1
[2,1,5,4,3]=>0
[2,3,1,4,5]=>2
[2,3,1,5,4]=>0
[2,3,4,1,5]=>1
[2,3,4,5,1]=>0
[2,3,5,1,4]=>1
[2,3,5,4,1]=>0
[2,4,1,3,5]=>2
[2,4,1,5,3]=>0
[2,4,3,1,5]=>1
[2,4,3,5,1]=>0
[2,4,5,1,3]=>1
[2,4,5,3,1]=>0
[2,5,1,3,4]=>2
[2,5,1,4,3]=>0
[2,5,3,1,4]=>1
[2,5,3,4,1]=>0
[2,5,4,1,3]=>1
[2,5,4,3,1]=>0
[3,1,2,4,5]=>3
[3,1,2,5,4]=>0
[3,1,4,2,5]=>1
[3,1,4,5,2]=>0
[3,1,5,2,4]=>1
[3,1,5,4,2]=>0
[3,2,1,4,5]=>2
[3,2,1,5,4]=>0
[3,2,4,1,5]=>1
[3,2,4,5,1]=>0
[3,2,5,1,4]=>1
[3,2,5,4,1]=>0
[3,4,1,2,5]=>2
[3,4,1,5,2]=>0
[3,4,2,1,5]=>1
[3,4,2,5,1]=>0
[3,4,5,1,2]=>1
[3,4,5,2,1]=>0
[3,5,1,2,4]=>2
[3,5,1,4,2]=>0
[3,5,2,1,4]=>1
[3,5,2,4,1]=>0
[3,5,4,1,2]=>1
[3,5,4,2,1]=>0
[4,1,2,3,5]=>3
[4,1,2,5,3]=>0
[4,1,3,2,5]=>1
[4,1,3,5,2]=>0
[4,1,5,2,3]=>1
[4,1,5,3,2]=>0
[4,2,1,3,5]=>2
[4,2,1,5,3]=>0
[4,2,3,1,5]=>1
[4,2,3,5,1]=>0
[4,2,5,1,3]=>1
[4,2,5,3,1]=>0
[4,3,1,2,5]=>2
[4,3,1,5,2]=>0
[4,3,2,1,5]=>1
[4,3,2,5,1]=>0
[4,3,5,1,2]=>1
[4,3,5,2,1]=>0
[4,5,1,2,3]=>2
[4,5,1,3,2]=>0
[4,5,2,1,3]=>1
[4,5,2,3,1]=>0
[4,5,3,1,2]=>1
[4,5,3,2,1]=>0
[5,1,2,3,4]=>3
[5,1,2,4,3]=>0
[5,1,3,2,4]=>1
[5,1,3,4,2]=>0
[5,1,4,2,3]=>1
[5,1,4,3,2]=>0
[5,2,1,3,4]=>2
[5,2,1,4,3]=>0
[5,2,3,1,4]=>1
[5,2,3,4,1]=>0
[5,2,4,1,3]=>1
[5,2,4,3,1]=>0
[5,3,1,2,4]=>2
[5,3,1,4,2]=>0
[5,3,2,1,4]=>1
[5,3,2,4,1]=>0
[5,3,4,1,2]=>1
[5,3,4,2,1]=>0
[5,4,1,2,3]=>2
[5,4,1,3,2]=>0
[5,4,2,1,3]=>1
[5,4,2,3,1]=>0
[5,4,3,1,2]=>1
[5,4,3,2,1]=>0
[1,2,3,4,5,6]=>5
[1,2,3,4,6,5]=>0
[1,2,3,5,4,6]=>1
[1,2,3,5,6,4]=>0
[1,2,3,6,4,5]=>1
[1,2,3,6,5,4]=>0
[1,2,4,3,5,6]=>2
[1,2,4,3,6,5]=>0
[1,2,4,5,3,6]=>1
[1,2,4,5,6,3]=>0
[1,2,4,6,3,5]=>1
[1,2,4,6,5,3]=>0
[1,2,5,3,4,6]=>2
[1,2,5,3,6,4]=>0
[1,2,5,4,3,6]=>1
[1,2,5,4,6,3]=>0
[1,2,5,6,3,4]=>1
[1,2,5,6,4,3]=>0
[1,2,6,3,4,5]=>2
[1,2,6,3,5,4]=>0
[1,2,6,4,3,5]=>1
[1,2,6,4,5,3]=>0
[1,2,6,5,3,4]=>1
[1,2,6,5,4,3]=>0
[1,3,2,4,5,6]=>3
[1,3,2,4,6,5]=>0
[1,3,2,5,4,6]=>1
[1,3,2,5,6,4]=>0
[1,3,2,6,4,5]=>1
[1,3,2,6,5,4]=>0
[1,3,4,2,5,6]=>2
[1,3,4,2,6,5]=>0
[1,3,4,5,2,6]=>1
[1,3,4,5,6,2]=>0
[1,3,4,6,2,5]=>1
[1,3,4,6,5,2]=>0
[1,3,5,2,4,6]=>2
[1,3,5,2,6,4]=>0
[1,3,5,4,2,6]=>1
[1,3,5,4,6,2]=>0
[1,3,5,6,2,4]=>1
[1,3,5,6,4,2]=>0
[1,3,6,2,4,5]=>2
[1,3,6,2,5,4]=>0
[1,3,6,4,2,5]=>1
[1,3,6,4,5,2]=>0
[1,3,6,5,2,4]=>1
[1,3,6,5,4,2]=>0
[1,4,2,3,5,6]=>3
[1,4,2,3,6,5]=>0
[1,4,2,5,3,6]=>1
[1,4,2,5,6,3]=>0
[1,4,2,6,3,5]=>1
[1,4,2,6,5,3]=>0
[1,4,3,2,5,6]=>2
[1,4,3,2,6,5]=>0
[1,4,3,5,2,6]=>1
[1,4,3,5,6,2]=>0
[1,4,3,6,2,5]=>1
[1,4,3,6,5,2]=>0
[1,4,5,2,3,6]=>2
[1,4,5,2,6,3]=>0
[1,4,5,3,2,6]=>1
[1,4,5,3,6,2]=>0
[1,4,5,6,2,3]=>1
[1,4,5,6,3,2]=>0
[1,4,6,2,3,5]=>2
[1,4,6,2,5,3]=>0
[1,4,6,3,2,5]=>1
[1,4,6,3,5,2]=>0
[1,4,6,5,2,3]=>1
[1,4,6,5,3,2]=>0
[1,5,2,3,4,6]=>3
[1,5,2,3,6,4]=>0
[1,5,2,4,3,6]=>1
[1,5,2,4,6,3]=>0
[1,5,2,6,3,4]=>1
[1,5,2,6,4,3]=>0
[1,5,3,2,4,6]=>2
[1,5,3,2,6,4]=>0
[1,5,3,4,2,6]=>1
[1,5,3,4,6,2]=>0
[1,5,3,6,2,4]=>1
[1,5,3,6,4,2]=>0
[1,5,4,2,3,6]=>2
[1,5,4,2,6,3]=>0
[1,5,4,3,2,6]=>1
[1,5,4,3,6,2]=>0
[1,5,4,6,2,3]=>1
[1,5,4,6,3,2]=>0
[1,5,6,2,3,4]=>2
[1,5,6,2,4,3]=>0
[1,5,6,3,2,4]=>1
[1,5,6,3,4,2]=>0
[1,5,6,4,2,3]=>1
[1,5,6,4,3,2]=>0
[1,6,2,3,4,5]=>3
[1,6,2,3,5,4]=>0
[1,6,2,4,3,5]=>1
[1,6,2,4,5,3]=>0
[1,6,2,5,3,4]=>1
[1,6,2,5,4,3]=>0
[1,6,3,2,4,5]=>2
[1,6,3,2,5,4]=>0
[1,6,3,4,2,5]=>1
[1,6,3,4,5,2]=>0
[1,6,3,5,2,4]=>1
[1,6,3,5,4,2]=>0
[1,6,4,2,3,5]=>2
[1,6,4,2,5,3]=>0
[1,6,4,3,2,5]=>1
[1,6,4,3,5,2]=>0
[1,6,4,5,2,3]=>1
[1,6,4,5,3,2]=>0
[1,6,5,2,3,4]=>2
[1,6,5,2,4,3]=>0
[1,6,5,3,2,4]=>1
[1,6,5,3,4,2]=>0
[1,6,5,4,2,3]=>1
[1,6,5,4,3,2]=>0
[2,1,3,4,5,6]=>4
[2,1,3,4,6,5]=>0
[2,1,3,5,4,6]=>1
[2,1,3,5,6,4]=>0
[2,1,3,6,4,5]=>1
[2,1,3,6,5,4]=>0
[2,1,4,3,5,6]=>2
[2,1,4,3,6,5]=>0
[2,1,4,5,3,6]=>1
[2,1,4,5,6,3]=>0
[2,1,4,6,3,5]=>1
[2,1,4,6,5,3]=>0
[2,1,5,3,4,6]=>2
[2,1,5,3,6,4]=>0
[2,1,5,4,3,6]=>1
[2,1,5,4,6,3]=>0
[2,1,5,6,3,4]=>1
[2,1,5,6,4,3]=>0
[2,1,6,3,4,5]=>2
[2,1,6,3,5,4]=>0
[2,1,6,4,3,5]=>1
[2,1,6,4,5,3]=>0
[2,1,6,5,3,4]=>1
[2,1,6,5,4,3]=>0
[2,3,1,4,5,6]=>3
[2,3,1,4,6,5]=>0
[2,3,1,5,4,6]=>1
[2,3,1,5,6,4]=>0
[2,3,1,6,4,5]=>1
[2,3,1,6,5,4]=>0
[2,3,4,1,5,6]=>2
[2,3,4,1,6,5]=>0
[2,3,4,5,1,6]=>1
[2,3,4,5,6,1]=>0
[2,3,4,6,1,5]=>1
[2,3,4,6,5,1]=>0
[2,3,5,1,4,6]=>2
[2,3,5,1,6,4]=>0
[2,3,5,4,1,6]=>1
[2,3,5,4,6,1]=>0
[2,3,5,6,1,4]=>1
[2,3,5,6,4,1]=>0
[2,3,6,1,4,5]=>2
[2,3,6,1,5,4]=>0
[2,3,6,4,1,5]=>1
[2,3,6,4,5,1]=>0
[2,3,6,5,1,4]=>1
[2,3,6,5,4,1]=>0
[2,4,1,3,5,6]=>3
[2,4,1,3,6,5]=>0
[2,4,1,5,3,6]=>1
[2,4,1,5,6,3]=>0
[2,4,1,6,3,5]=>1
[2,4,1,6,5,3]=>0
[2,4,3,1,5,6]=>2
[2,4,3,1,6,5]=>0
[2,4,3,5,1,6]=>1
[2,4,3,5,6,1]=>0
[2,4,3,6,1,5]=>1
[2,4,3,6,5,1]=>0
[2,4,5,1,3,6]=>2
[2,4,5,1,6,3]=>0
[2,4,5,3,1,6]=>1
[2,4,5,3,6,1]=>0
[2,4,5,6,1,3]=>1
[2,4,5,6,3,1]=>0
[2,4,6,1,3,5]=>2
[2,4,6,1,5,3]=>0
[2,4,6,3,1,5]=>1
[2,4,6,3,5,1]=>0
[2,4,6,5,1,3]=>1
[2,4,6,5,3,1]=>0
[2,5,1,3,4,6]=>3
[2,5,1,3,6,4]=>0
[2,5,1,4,3,6]=>1
[2,5,1,4,6,3]=>0
[2,5,1,6,3,4]=>1
[2,5,1,6,4,3]=>0
[2,5,3,1,4,6]=>2
[2,5,3,1,6,4]=>0
[2,5,3,4,1,6]=>1
[2,5,3,4,6,1]=>0
[2,5,3,6,1,4]=>1
[2,5,3,6,4,1]=>0
[2,5,4,1,3,6]=>2
[2,5,4,1,6,3]=>0
[2,5,4,3,1,6]=>1
[2,5,4,3,6,1]=>0
[2,5,4,6,1,3]=>1
[2,5,4,6,3,1]=>0
[2,5,6,1,3,4]=>2
[2,5,6,1,4,3]=>0
[2,5,6,3,1,4]=>1
[2,5,6,3,4,1]=>0
[2,5,6,4,1,3]=>1
[2,5,6,4,3,1]=>0
[2,6,1,3,4,5]=>3
[2,6,1,3,5,4]=>0
[2,6,1,4,3,5]=>1
[2,6,1,4,5,3]=>0
[2,6,1,5,3,4]=>1
[2,6,1,5,4,3]=>0
[2,6,3,1,4,5]=>2
[2,6,3,1,5,4]=>0
[2,6,3,4,1,5]=>1
[2,6,3,4,5,1]=>0
[2,6,3,5,1,4]=>1
[2,6,3,5,4,1]=>0
[2,6,4,1,3,5]=>2
[2,6,4,1,5,3]=>0
[2,6,4,3,1,5]=>1
[2,6,4,3,5,1]=>0
[2,6,4,5,1,3]=>1
[2,6,4,5,3,1]=>0
[2,6,5,1,3,4]=>2
[2,6,5,1,4,3]=>0
[2,6,5,3,1,4]=>1
[2,6,5,3,4,1]=>0
[2,6,5,4,1,3]=>1
[2,6,5,4,3,1]=>0
[3,1,2,4,5,6]=>4
[3,1,2,4,6,5]=>0
[3,1,2,5,4,6]=>1
[3,1,2,5,6,4]=>0
[3,1,2,6,4,5]=>1
[3,1,2,6,5,4]=>0
[3,1,4,2,5,6]=>2
[3,1,4,2,6,5]=>0
[3,1,4,5,2,6]=>1
[3,1,4,5,6,2]=>0
[3,1,4,6,2,5]=>1
[3,1,4,6,5,2]=>0
[3,1,5,2,4,6]=>2
[3,1,5,2,6,4]=>0
[3,1,5,4,2,6]=>1
[3,1,5,4,6,2]=>0
[3,1,5,6,2,4]=>1
[3,1,5,6,4,2]=>0
[3,1,6,2,4,5]=>2
[3,1,6,2,5,4]=>0
[3,1,6,4,2,5]=>1
[3,1,6,4,5,2]=>0
[3,1,6,5,2,4]=>1
[3,1,6,5,4,2]=>0
[3,2,1,4,5,6]=>3
[3,2,1,4,6,5]=>0
[3,2,1,5,4,6]=>1
[3,2,1,5,6,4]=>0
[3,2,1,6,4,5]=>1
[3,2,1,6,5,4]=>0
[3,2,4,1,5,6]=>2
[3,2,4,1,6,5]=>0
[3,2,4,5,1,6]=>1
[3,2,4,5,6,1]=>0
[3,2,4,6,1,5]=>1
[3,2,4,6,5,1]=>0
[3,2,5,1,4,6]=>2
[3,2,5,1,6,4]=>0
[3,2,5,4,1,6]=>1
[3,2,5,4,6,1]=>0
[3,2,5,6,1,4]=>1
[3,2,5,6,4,1]=>0
[3,2,6,1,4,5]=>2
[3,2,6,1,5,4]=>0
[3,2,6,4,1,5]=>1
[3,2,6,4,5,1]=>0
[3,2,6,5,1,4]=>1
[3,2,6,5,4,1]=>0
[3,4,1,2,5,6]=>3
[3,4,1,2,6,5]=>0
[3,4,1,5,2,6]=>1
[3,4,1,5,6,2]=>0
[3,4,1,6,2,5]=>1
[3,4,1,6,5,2]=>0
[3,4,2,1,5,6]=>2
[3,4,2,1,6,5]=>0
[3,4,2,5,1,6]=>1
[3,4,2,5,6,1]=>0
[3,4,2,6,1,5]=>1
[3,4,2,6,5,1]=>0
[3,4,5,1,2,6]=>2
[3,4,5,1,6,2]=>0
[3,4,5,2,1,6]=>1
[3,4,5,2,6,1]=>0
[3,4,5,6,1,2]=>1
[3,4,5,6,2,1]=>0
[3,4,6,1,2,5]=>2
[3,4,6,1,5,2]=>0
[3,4,6,2,1,5]=>1
[3,4,6,2,5,1]=>0
[3,4,6,5,1,2]=>1
[3,4,6,5,2,1]=>0
[3,5,1,2,4,6]=>3
[3,5,1,2,6,4]=>0
[3,5,1,4,2,6]=>1
[3,5,1,4,6,2]=>0
[3,5,1,6,2,4]=>1
[3,5,1,6,4,2]=>0
[3,5,2,1,4,6]=>2
[3,5,2,1,6,4]=>0
[3,5,2,4,1,6]=>1
[3,5,2,4,6,1]=>0
[3,5,2,6,1,4]=>1
[3,5,2,6,4,1]=>0
[3,5,4,1,2,6]=>2
[3,5,4,1,6,2]=>0
[3,5,4,2,1,6]=>1
[3,5,4,2,6,1]=>0
[3,5,4,6,1,2]=>1
[3,5,4,6,2,1]=>0
[3,5,6,1,2,4]=>2
[3,5,6,1,4,2]=>0
[3,5,6,2,1,4]=>1
[3,5,6,2,4,1]=>0
[3,5,6,4,1,2]=>1
[3,5,6,4,2,1]=>0
[3,6,1,2,4,5]=>3
[3,6,1,2,5,4]=>0
[3,6,1,4,2,5]=>1
[3,6,1,4,5,2]=>0
[3,6,1,5,2,4]=>1
[3,6,1,5,4,2]=>0
[3,6,2,1,4,5]=>2
[3,6,2,1,5,4]=>0
[3,6,2,4,1,5]=>1
[3,6,2,4,5,1]=>0
[3,6,2,5,1,4]=>1
[3,6,2,5,4,1]=>0
[3,6,4,1,2,5]=>2
[3,6,4,1,5,2]=>0
[3,6,4,2,1,5]=>1
[3,6,4,2,5,1]=>0
[3,6,4,5,1,2]=>1
[3,6,4,5,2,1]=>0
[3,6,5,1,2,4]=>2
[3,6,5,1,4,2]=>0
[3,6,5,2,1,4]=>1
[3,6,5,2,4,1]=>0
[3,6,5,4,1,2]=>1
[3,6,5,4,2,1]=>0
[4,1,2,3,5,6]=>4
[4,1,2,3,6,5]=>0
[4,1,2,5,3,6]=>1
[4,1,2,5,6,3]=>0
[4,1,2,6,3,5]=>1
[4,1,2,6,5,3]=>0
[4,1,3,2,5,6]=>2
[4,1,3,2,6,5]=>0
[4,1,3,5,2,6]=>1
[4,1,3,5,6,2]=>0
[4,1,3,6,2,5]=>1
[4,1,3,6,5,2]=>0
[4,1,5,2,3,6]=>2
[4,1,5,2,6,3]=>0
[4,1,5,3,2,6]=>1
[4,1,5,3,6,2]=>0
[4,1,5,6,2,3]=>1
[4,1,5,6,3,2]=>0
[4,1,6,2,3,5]=>2
[4,1,6,2,5,3]=>0
[4,1,6,3,2,5]=>1
[4,1,6,3,5,2]=>0
[4,1,6,5,2,3]=>1
[4,1,6,5,3,2]=>0
[4,2,1,3,5,6]=>3
[4,2,1,3,6,5]=>0
[4,2,1,5,3,6]=>1
[4,2,1,5,6,3]=>0
[4,2,1,6,3,5]=>1
[4,2,1,6,5,3]=>0
[4,2,3,1,5,6]=>2
[4,2,3,1,6,5]=>0
[4,2,3,5,1,6]=>1
[4,2,3,5,6,1]=>0
[4,2,3,6,1,5]=>1
[4,2,3,6,5,1]=>0
[4,2,5,1,3,6]=>2
[4,2,5,1,6,3]=>0
[4,2,5,3,1,6]=>1
[4,2,5,3,6,1]=>0
[4,2,5,6,1,3]=>1
[4,2,5,6,3,1]=>0
[4,2,6,1,3,5]=>2
[4,2,6,1,5,3]=>0
[4,2,6,3,1,5]=>1
[4,2,6,3,5,1]=>0
[4,2,6,5,1,3]=>1
[4,2,6,5,3,1]=>0
[4,3,1,2,5,6]=>3
[4,3,1,2,6,5]=>0
[4,3,1,5,2,6]=>1
[4,3,1,5,6,2]=>0
[4,3,1,6,2,5]=>1
[4,3,1,6,5,2]=>0
[4,3,2,1,5,6]=>2
[4,3,2,1,6,5]=>0
[4,3,2,5,1,6]=>1
[4,3,2,5,6,1]=>0
[4,3,2,6,1,5]=>1
[4,3,2,6,5,1]=>0
[4,3,5,1,2,6]=>2
[4,3,5,1,6,2]=>0
[4,3,5,2,1,6]=>1
[4,3,5,2,6,1]=>0
[4,3,5,6,1,2]=>1
[4,3,5,6,2,1]=>0
[4,3,6,1,2,5]=>2
[4,3,6,1,5,2]=>0
[4,3,6,2,1,5]=>1
[4,3,6,2,5,1]=>0
[4,3,6,5,1,2]=>1
[4,3,6,5,2,1]=>0
[4,5,1,2,3,6]=>3
[4,5,1,2,6,3]=>0
[4,5,1,3,2,6]=>1
[4,5,1,3,6,2]=>0
[4,5,1,6,2,3]=>1
[4,5,1,6,3,2]=>0
[4,5,2,1,3,6]=>2
[4,5,2,1,6,3]=>0
[4,5,2,3,1,6]=>1
[4,5,2,3,6,1]=>0
[4,5,2,6,1,3]=>1
[4,5,2,6,3,1]=>0
[4,5,3,1,2,6]=>2
[4,5,3,1,6,2]=>0
[4,5,3,2,1,6]=>1
[4,5,3,2,6,1]=>0
[4,5,3,6,1,2]=>1
[4,5,3,6,2,1]=>0
[4,5,6,1,2,3]=>2
[4,5,6,1,3,2]=>0
[4,5,6,2,1,3]=>1
[4,5,6,2,3,1]=>0
[4,5,6,3,1,2]=>1
[4,5,6,3,2,1]=>0
[4,6,1,2,3,5]=>3
[4,6,1,2,5,3]=>0
[4,6,1,3,2,5]=>1
[4,6,1,3,5,2]=>0
[4,6,1,5,2,3]=>1
[4,6,1,5,3,2]=>0
[4,6,2,1,3,5]=>2
[4,6,2,1,5,3]=>0
[4,6,2,3,1,5]=>1
[4,6,2,3,5,1]=>0
[4,6,2,5,1,3]=>1
[4,6,2,5,3,1]=>0
[4,6,3,1,2,5]=>2
[4,6,3,1,5,2]=>0
[4,6,3,2,1,5]=>1
[4,6,3,2,5,1]=>0
[4,6,3,5,1,2]=>1
[4,6,3,5,2,1]=>0
[4,6,5,1,2,3]=>2
[4,6,5,1,3,2]=>0
[4,6,5,2,1,3]=>1
[4,6,5,2,3,1]=>0
[4,6,5,3,1,2]=>1
[4,6,5,3,2,1]=>0
[5,1,2,3,4,6]=>4
[5,1,2,3,6,4]=>0
[5,1,2,4,3,6]=>1
[5,1,2,4,6,3]=>0
[5,1,2,6,3,4]=>1
[5,1,2,6,4,3]=>0
[5,1,3,2,4,6]=>2
[5,1,3,2,6,4]=>0
[5,1,3,4,2,6]=>1
[5,1,3,4,6,2]=>0
[5,1,3,6,2,4]=>1
[5,1,3,6,4,2]=>0
[5,1,4,2,3,6]=>2
[5,1,4,2,6,3]=>0
[5,1,4,3,2,6]=>1
[5,1,4,3,6,2]=>0
[5,1,4,6,2,3]=>1
[5,1,4,6,3,2]=>0
[5,1,6,2,3,4]=>2
[5,1,6,2,4,3]=>0
[5,1,6,3,2,4]=>1
[5,1,6,3,4,2]=>0
[5,1,6,4,2,3]=>1
[5,1,6,4,3,2]=>0
[5,2,1,3,4,6]=>3
[5,2,1,3,6,4]=>0
[5,2,1,4,3,6]=>1
[5,2,1,4,6,3]=>0
[5,2,1,6,3,4]=>1
[5,2,1,6,4,3]=>0
[5,2,3,1,4,6]=>2
[5,2,3,1,6,4]=>0
[5,2,3,4,1,6]=>1
[5,2,3,4,6,1]=>0
[5,2,3,6,1,4]=>1
[5,2,3,6,4,1]=>0
[5,2,4,1,3,6]=>2
[5,2,4,1,6,3]=>0
[5,2,4,3,1,6]=>1
[5,2,4,3,6,1]=>0
[5,2,4,6,1,3]=>1
[5,2,4,6,3,1]=>0
[5,2,6,1,3,4]=>2
[5,2,6,1,4,3]=>0
[5,2,6,3,1,4]=>1
[5,2,6,3,4,1]=>0
[5,2,6,4,1,3]=>1
[5,2,6,4,3,1]=>0
[5,3,1,2,4,6]=>3
[5,3,1,2,6,4]=>0
[5,3,1,4,2,6]=>1
[5,3,1,4,6,2]=>0
[5,3,1,6,2,4]=>1
[5,3,1,6,4,2]=>0
[5,3,2,1,4,6]=>2
[5,3,2,1,6,4]=>0
[5,3,2,4,1,6]=>1
[5,3,2,4,6,1]=>0
[5,3,2,6,1,4]=>1
[5,3,2,6,4,1]=>0
[5,3,4,1,2,6]=>2
[5,3,4,1,6,2]=>0
[5,3,4,2,1,6]=>1
[5,3,4,2,6,1]=>0
[5,3,4,6,1,2]=>1
[5,3,4,6,2,1]=>0
[5,3,6,1,2,4]=>2
[5,3,6,1,4,2]=>0
[5,3,6,2,1,4]=>1
[5,3,6,2,4,1]=>0
[5,3,6,4,1,2]=>1
[5,3,6,4,2,1]=>0
[5,4,1,2,3,6]=>3
[5,4,1,2,6,3]=>0
[5,4,1,3,2,6]=>1
[5,4,1,3,6,2]=>0
[5,4,1,6,2,3]=>1
[5,4,1,6,3,2]=>0
[5,4,2,1,3,6]=>2
[5,4,2,1,6,3]=>0
[5,4,2,3,1,6]=>1
[5,4,2,3,6,1]=>0
[5,4,2,6,1,3]=>1
[5,4,2,6,3,1]=>0
[5,4,3,1,2,6]=>2
[5,4,3,1,6,2]=>0
[5,4,3,2,1,6]=>1
[5,4,3,2,6,1]=>0
[5,4,3,6,1,2]=>1
[5,4,3,6,2,1]=>0
[5,4,6,1,2,3]=>2
[5,4,6,1,3,2]=>0
[5,4,6,2,1,3]=>1
[5,4,6,2,3,1]=>0
[5,4,6,3,1,2]=>1
[5,4,6,3,2,1]=>0
[5,6,1,2,3,4]=>3
[5,6,1,2,4,3]=>0
[5,6,1,3,2,4]=>1
[5,6,1,3,4,2]=>0
[5,6,1,4,2,3]=>1
[5,6,1,4,3,2]=>0
[5,6,2,1,3,4]=>2
[5,6,2,1,4,3]=>0
[5,6,2,3,1,4]=>1
[5,6,2,3,4,1]=>0
[5,6,2,4,1,3]=>1
[5,6,2,4,3,1]=>0
[5,6,3,1,2,4]=>2
[5,6,3,1,4,2]=>0
[5,6,3,2,1,4]=>1
[5,6,3,2,4,1]=>0
[5,6,3,4,1,2]=>1
[5,6,3,4,2,1]=>0
[5,6,4,1,2,3]=>2
[5,6,4,1,3,2]=>0
[5,6,4,2,1,3]=>1
[5,6,4,2,3,1]=>0
[5,6,4,3,1,2]=>1
[5,6,4,3,2,1]=>0
[6,1,2,3,4,5]=>4
[6,1,2,3,5,4]=>0
[6,1,2,4,3,5]=>1
[6,1,2,4,5,3]=>0
[6,1,2,5,3,4]=>1
[6,1,2,5,4,3]=>0
[6,1,3,2,4,5]=>2
[6,1,3,2,5,4]=>0
[6,1,3,4,2,5]=>1
[6,1,3,4,5,2]=>0
[6,1,3,5,2,4]=>1
[6,1,3,5,4,2]=>0
[6,1,4,2,3,5]=>2
[6,1,4,2,5,3]=>0
[6,1,4,3,2,5]=>1
[6,1,4,3,5,2]=>0
[6,1,4,5,2,3]=>1
[6,1,4,5,3,2]=>0
[6,1,5,2,3,4]=>2
[6,1,5,2,4,3]=>0
[6,1,5,3,2,4]=>1
[6,1,5,3,4,2]=>0
[6,1,5,4,2,3]=>1
[6,1,5,4,3,2]=>0
[6,2,1,3,4,5]=>3
[6,2,1,3,5,4]=>0
[6,2,1,4,3,5]=>1
[6,2,1,4,5,3]=>0
[6,2,1,5,3,4]=>1
[6,2,1,5,4,3]=>0
[6,2,3,1,4,5]=>2
[6,2,3,1,5,4]=>0
[6,2,3,4,1,5]=>1
[6,2,3,4,5,1]=>0
[6,2,3,5,1,4]=>1
[6,2,3,5,4,1]=>0
[6,2,4,1,3,5]=>2
[6,2,4,1,5,3]=>0
[6,2,4,3,1,5]=>1
[6,2,4,3,5,1]=>0
[6,2,4,5,1,3]=>1
[6,2,4,5,3,1]=>0
[6,2,5,1,3,4]=>2
[6,2,5,1,4,3]=>0
[6,2,5,3,1,4]=>1
[6,2,5,3,4,1]=>0
[6,2,5,4,1,3]=>1
[6,2,5,4,3,1]=>0
[6,3,1,2,4,5]=>3
[6,3,1,2,5,4]=>0
[6,3,1,4,2,5]=>1
[6,3,1,4,5,2]=>0
[6,3,1,5,2,4]=>1
[6,3,1,5,4,2]=>0
[6,3,2,1,4,5]=>2
[6,3,2,1,5,4]=>0
[6,3,2,4,1,5]=>1
[6,3,2,4,5,1]=>0
[6,3,2,5,1,4]=>1
[6,3,2,5,4,1]=>0
[6,3,4,1,2,5]=>2
[6,3,4,1,5,2]=>0
[6,3,4,2,1,5]=>1
[6,3,4,2,5,1]=>0
[6,3,4,5,1,2]=>1
[6,3,4,5,2,1]=>0
[6,3,5,1,2,4]=>2
[6,3,5,1,4,2]=>0
[6,3,5,2,1,4]=>1
[6,3,5,2,4,1]=>0
[6,3,5,4,1,2]=>1
[6,3,5,4,2,1]=>0
[6,4,1,2,3,5]=>3
[6,4,1,2,5,3]=>0
[6,4,1,3,2,5]=>1
[6,4,1,3,5,2]=>0
[6,4,1,5,2,3]=>1
[6,4,1,5,3,2]=>0
[6,4,2,1,3,5]=>2
[6,4,2,1,5,3]=>0
[6,4,2,3,1,5]=>1
[6,4,2,3,5,1]=>0
[6,4,2,5,1,3]=>1
[6,4,2,5,3,1]=>0
[6,4,3,1,2,5]=>2
[6,4,3,1,5,2]=>0
[6,4,3,2,1,5]=>1
[6,4,3,2,5,1]=>0
[6,4,3,5,1,2]=>1
[6,4,3,5,2,1]=>0
[6,4,5,1,2,3]=>2
[6,4,5,1,3,2]=>0
[6,4,5,2,1,3]=>1
[6,4,5,2,3,1]=>0
[6,4,5,3,1,2]=>1
[6,4,5,3,2,1]=>0
[6,5,1,2,3,4]=>3
[6,5,1,2,4,3]=>0
[6,5,1,3,2,4]=>1
[6,5,1,3,4,2]=>0
[6,5,1,4,2,3]=>1
[6,5,1,4,3,2]=>0
[6,5,2,1,3,4]=>2
[6,5,2,1,4,3]=>0
[6,5,2,3,1,4]=>1
[6,5,2,3,4,1]=>0
[6,5,2,4,1,3]=>1
[6,5,2,4,3,1]=>0
[6,5,3,1,2,4]=>2
[6,5,3,1,4,2]=>0
[6,5,3,2,1,4]=>1
[6,5,3,2,4,1]=>0
[6,5,3,4,1,2]=>1
[6,5,3,4,2,1]=>0
[6,5,4,1,2,3]=>2
[6,5,4,1,3,2]=>0
[6,5,4,2,1,3]=>1
[6,5,4,2,3,1]=>0
[6,5,4,3,1,2]=>1
[6,5,4,3,2,1]=>0
[1,2,3,4,5,6,7]=>6
[1,2,3,4,5,7,6]=>0
[1,2,3,4,6,5,7]=>1
[1,2,3,4,6,7,5]=>0
[1,2,3,4,7,5,6]=>1
[1,2,3,4,7,6,5]=>0
[1,2,3,5,4,6,7]=>2
[1,2,3,5,4,7,6]=>0
[1,2,3,5,6,4,7]=>1
[1,2,3,5,6,7,4]=>0
[1,2,3,5,7,4,6]=>1
[1,2,3,5,7,6,4]=>0
[1,2,3,6,4,5,7]=>2
[1,2,3,6,4,7,5]=>0
[1,2,3,6,5,4,7]=>1
[1,2,3,6,5,7,4]=>0
[1,2,3,6,7,4,5]=>1
[1,2,3,6,7,5,4]=>0
[1,2,3,7,4,5,6]=>2
[1,2,3,7,4,6,5]=>0
[1,2,3,7,5,4,6]=>1
[1,2,3,7,5,6,4]=>0
[1,2,3,7,6,4,5]=>1
[1,2,3,7,6,5,4]=>0
[1,2,4,3,5,6,7]=>3
[1,2,4,3,5,7,6]=>0
[1,2,4,3,6,5,7]=>1
[1,2,4,3,6,7,5]=>0
[1,2,4,3,7,5,6]=>1
[1,2,4,3,7,6,5]=>0
[1,2,4,5,3,6,7]=>2
[1,2,4,5,3,7,6]=>0
[1,2,4,5,6,3,7]=>1
[1,2,4,5,6,7,3]=>0
[1,2,4,5,7,3,6]=>1
[1,2,4,5,7,6,3]=>0
[1,2,4,6,3,5,7]=>2
[1,2,4,6,3,7,5]=>0
[1,2,4,6,5,3,7]=>1
[1,2,4,6,5,7,3]=>0
[1,2,4,6,7,3,5]=>1
[1,2,4,6,7,5,3]=>0
[1,2,4,7,3,5,6]=>2
[1,2,4,7,3,6,5]=>0
[1,2,4,7,5,3,6]=>1
[1,2,4,7,5,6,3]=>0
[1,2,4,7,6,3,5]=>1
[1,2,4,7,6,5,3]=>0
[1,2,5,3,4,6,7]=>3
[1,2,5,3,4,7,6]=>0
[1,2,5,3,6,4,7]=>1
[1,2,5,3,6,7,4]=>0
[1,2,5,3,7,4,6]=>1
[1,2,5,3,7,6,4]=>0
[1,2,5,4,3,6,7]=>2
[1,2,5,4,3,7,6]=>0
[1,2,5,4,6,3,7]=>1
[1,2,5,4,6,7,3]=>0
[1,2,5,4,7,3,6]=>1
[1,2,5,4,7,6,3]=>0
[1,2,5,6,3,4,7]=>2
[1,2,5,6,3,7,4]=>0
[1,2,5,6,4,3,7]=>1
[1,2,5,6,4,7,3]=>0
[1,2,5,6,7,3,4]=>1
[1,2,5,6,7,4,3]=>0
[1,2,5,7,3,4,6]=>2
[1,2,5,7,3,6,4]=>0
[1,2,5,7,4,3,6]=>1
[1,2,5,7,4,6,3]=>0
[1,2,5,7,6,3,4]=>1
[1,2,5,7,6,4,3]=>0
[1,2,6,3,4,5,7]=>3
[1,2,6,3,4,7,5]=>0
[1,2,6,3,5,4,7]=>1
[1,2,6,3,5,7,4]=>0
[1,2,6,3,7,4,5]=>1
[1,2,6,3,7,5,4]=>0
[1,2,6,4,3,5,7]=>2
[1,2,6,4,3,7,5]=>0
[1,2,6,4,5,3,7]=>1
[1,2,6,4,5,7,3]=>0
[1,2,6,4,7,3,5]=>1
[1,2,6,4,7,5,3]=>0
[1,2,6,5,3,4,7]=>2
[1,2,6,5,3,7,4]=>0
[1,2,6,5,4,3,7]=>1
[1,2,6,5,4,7,3]=>0
[1,2,6,5,7,3,4]=>1
[1,2,6,5,7,4,3]=>0
[1,2,6,7,3,4,5]=>2
[1,2,6,7,3,5,4]=>0
[1,2,6,7,4,3,5]=>1
[1,2,6,7,4,5,3]=>0
[1,2,6,7,5,3,4]=>1
[1,2,6,7,5,4,3]=>0
[1,2,7,3,4,5,6]=>3
[1,2,7,3,4,6,5]=>0
[1,2,7,3,5,4,6]=>1
[1,2,7,3,5,6,4]=>0
[1,2,7,3,6,4,5]=>1
[1,2,7,3,6,5,4]=>0
[1,2,7,4,3,5,6]=>2
[1,2,7,4,3,6,5]=>0
[1,2,7,4,5,3,6]=>1
[1,2,7,4,5,6,3]=>0
[1,2,7,4,6,3,5]=>1
[1,2,7,4,6,5,3]=>0
[1,2,7,5,3,4,6]=>2
[1,2,7,5,3,6,4]=>0
[1,2,7,5,4,3,6]=>1
[1,2,7,5,4,6,3]=>0
[1,2,7,5,6,3,4]=>1
[1,2,7,5,6,4,3]=>0
[1,2,7,6,3,4,5]=>2
[1,2,7,6,3,5,4]=>0
[1,2,7,6,4,3,5]=>1
[1,2,7,6,4,5,3]=>0
[1,2,7,6,5,3,4]=>1
[1,2,7,6,5,4,3]=>0
[1,3,2,4,5,6,7]=>4
[1,3,2,4,5,7,6]=>0
[1,3,2,4,6,5,7]=>1
[1,3,2,4,6,7,5]=>0
[1,3,2,4,7,5,6]=>1
[1,3,2,4,7,6,5]=>0
[1,3,2,5,4,6,7]=>2
[1,3,2,5,4,7,6]=>0
[1,3,2,5,6,4,7]=>1
[1,3,2,5,6,7,4]=>0
[1,3,2,5,7,4,6]=>1
[1,3,2,5,7,6,4]=>0
[1,3,2,6,4,5,7]=>2
[1,3,2,6,4,7,5]=>0
[1,3,2,6,5,4,7]=>1
[1,3,2,6,5,7,4]=>0
[1,3,2,6,7,4,5]=>1
[1,3,2,6,7,5,4]=>0
[1,3,2,7,4,5,6]=>2
[1,3,2,7,4,6,5]=>0
[1,3,2,7,5,4,6]=>1
[1,3,2,7,5,6,4]=>0
[1,3,2,7,6,4,5]=>1
[1,3,2,7,6,5,4]=>0
[1,3,4,2,5,6,7]=>3
[1,3,4,2,5,7,6]=>0
[1,3,4,2,6,5,7]=>1
[1,3,4,2,6,7,5]=>0
[1,3,4,2,7,5,6]=>1
[1,3,4,2,7,6,5]=>0
[1,3,4,5,2,6,7]=>2
[1,3,4,5,2,7,6]=>0
[1,3,4,5,6,2,7]=>1
[1,3,4,5,6,7,2]=>0
[1,3,4,5,7,2,6]=>1
[1,3,4,5,7,6,2]=>0
[1,3,4,6,2,5,7]=>2
[1,3,4,6,2,7,5]=>0
[1,3,4,6,5,2,7]=>1
[1,3,4,6,5,7,2]=>0
[1,3,4,6,7,2,5]=>1
[1,3,4,6,7,5,2]=>0
[1,3,4,7,2,5,6]=>2
[1,3,4,7,2,6,5]=>0
[1,3,4,7,5,2,6]=>1
[1,3,4,7,5,6,2]=>0
[1,3,4,7,6,2,5]=>1
[1,3,4,7,6,5,2]=>0
[1,3,5,2,4,6,7]=>3
[1,3,5,2,4,7,6]=>0
[1,3,5,2,6,4,7]=>1
[1,3,5,2,6,7,4]=>0
[1,3,5,2,7,4,6]=>1
[1,3,5,2,7,6,4]=>0
[1,3,5,4,2,6,7]=>2
[1,3,5,4,2,7,6]=>0
[1,3,5,4,6,2,7]=>1
[1,3,5,4,6,7,2]=>0
[1,3,5,4,7,2,6]=>1
[1,3,5,4,7,6,2]=>0
[1,3,5,6,2,4,7]=>2
[1,3,5,6,2,7,4]=>0
[1,3,5,6,4,2,7]=>1
[1,3,5,6,4,7,2]=>0
[1,3,5,6,7,2,4]=>1
[1,3,5,6,7,4,2]=>0
[1,3,5,7,2,4,6]=>2
[1,3,5,7,2,6,4]=>0
[1,3,5,7,4,2,6]=>1
[1,3,5,7,4,6,2]=>0
[1,3,5,7,6,2,4]=>1
[1,3,5,7,6,4,2]=>0
[1,3,6,2,4,5,7]=>3
[1,3,6,2,4,7,5]=>0
[1,3,6,2,5,4,7]=>1
[1,3,6,2,5,7,4]=>0
[1,3,6,2,7,4,5]=>1
[1,3,6,2,7,5,4]=>0
[1,3,6,4,2,5,7]=>2
[1,3,6,4,2,7,5]=>0
[1,3,6,4,5,2,7]=>1
[1,3,6,4,5,7,2]=>0
[1,3,6,4,7,2,5]=>1
[1,3,6,4,7,5,2]=>0
[1,3,6,5,2,4,7]=>2
[1,3,6,5,2,7,4]=>0
[1,3,6,5,4,2,7]=>1
[1,3,6,5,4,7,2]=>0
[1,3,6,5,7,2,4]=>1
[1,3,6,5,7,4,2]=>0
[1,3,6,7,2,4,5]=>2
[1,3,6,7,2,5,4]=>0
[1,3,6,7,4,2,5]=>1
[1,3,6,7,4,5,2]=>0
[1,3,6,7,5,2,4]=>1
[1,3,6,7,5,4,2]=>0
[1,3,7,2,4,5,6]=>3
[1,3,7,2,4,6,5]=>0
[1,3,7,2,5,4,6]=>1
[1,3,7,2,5,6,4]=>0
[1,3,7,2,6,4,5]=>1
[1,3,7,2,6,5,4]=>0
[1,3,7,4,2,5,6]=>2
[1,3,7,4,2,6,5]=>0
[1,3,7,4,5,2,6]=>1
[1,3,7,4,5,6,2]=>0
[1,3,7,4,6,2,5]=>1
[1,3,7,4,6,5,2]=>0
[1,3,7,5,2,4,6]=>2
[1,3,7,5,2,6,4]=>0
[1,3,7,5,4,2,6]=>1
[1,3,7,5,4,6,2]=>0
[1,3,7,5,6,2,4]=>1
[1,3,7,5,6,4,2]=>0
[1,3,7,6,2,4,5]=>2
[1,3,7,6,2,5,4]=>0
[1,3,7,6,4,2,5]=>1
[1,3,7,6,4,5,2]=>0
[1,3,7,6,5,2,4]=>1
[1,3,7,6,5,4,2]=>0
[1,4,2,3,5,6,7]=>4
[1,4,2,3,5,7,6]=>0
[1,4,2,3,6,5,7]=>1
[1,4,2,3,6,7,5]=>0
[1,4,2,3,7,5,6]=>1
[1,4,2,3,7,6,5]=>0
[1,4,2,5,3,6,7]=>2
[1,4,2,5,3,7,6]=>0
[1,4,2,5,6,3,7]=>1
[1,4,2,5,6,7,3]=>0
[1,4,2,5,7,3,6]=>1
[1,4,2,5,7,6,3]=>0
[1,4,2,6,3,5,7]=>2
[1,4,2,6,3,7,5]=>0
[1,4,2,6,5,3,7]=>1
[1,4,2,6,5,7,3]=>0
[1,4,2,6,7,3,5]=>1
[1,4,2,6,7,5,3]=>0
[1,4,2,7,3,5,6]=>2
[1,4,2,7,3,6,5]=>0
[1,4,2,7,5,3,6]=>1
[1,4,2,7,5,6,3]=>0
[1,4,2,7,6,3,5]=>1
[1,4,2,7,6,5,3]=>0
[1,4,3,2,5,6,7]=>3
[1,4,3,2,5,7,6]=>0
[1,4,3,2,6,5,7]=>1
[1,4,3,2,6,7,5]=>0
[1,4,3,2,7,5,6]=>1
[1,4,3,2,7,6,5]=>0
[1,4,3,5,2,6,7]=>2
[1,4,3,5,2,7,6]=>0
[1,4,3,5,6,2,7]=>1
[1,4,3,5,6,7,2]=>0
[1,4,3,5,7,2,6]=>1
[1,4,3,5,7,6,2]=>0
[1,4,3,6,2,5,7]=>2
[1,4,3,6,2,7,5]=>0
[1,4,3,6,5,2,7]=>1
[1,4,3,6,5,7,2]=>0
[1,4,3,6,7,2,5]=>1
[1,4,3,6,7,5,2]=>0
[1,4,3,7,2,5,6]=>2
[1,4,3,7,2,6,5]=>0
[1,4,3,7,5,2,6]=>1
[1,4,3,7,5,6,2]=>0
[1,4,3,7,6,2,5]=>1
[1,4,3,7,6,5,2]=>0
[1,4,5,2,3,6,7]=>3
[1,4,5,2,3,7,6]=>0
[1,4,5,2,6,3,7]=>1
[1,4,5,2,6,7,3]=>0
[1,4,5,2,7,3,6]=>1
[1,4,5,2,7,6,3]=>0
[1,4,5,3,2,6,7]=>2
[1,4,5,3,2,7,6]=>0
[1,4,5,3,6,2,7]=>1
[1,4,5,3,6,7,2]=>0
[1,4,5,3,7,2,6]=>1
[1,4,5,3,7,6,2]=>0
[1,4,5,6,2,3,7]=>2
[1,4,5,6,2,7,3]=>0
[1,4,5,6,3,2,7]=>1
[1,4,5,6,3,7,2]=>0
[1,4,5,6,7,2,3]=>1
[1,4,5,6,7,3,2]=>0
[1,4,5,7,2,3,6]=>2
[1,4,5,7,2,6,3]=>0
[1,4,5,7,3,2,6]=>1
[1,4,5,7,3,6,2]=>0
[1,4,5,7,6,2,3]=>1
[1,4,5,7,6,3,2]=>0
[1,4,6,2,3,5,7]=>3
[1,4,6,2,3,7,5]=>0
[1,4,6,2,5,3,7]=>1
[1,4,6,2,5,7,3]=>0
[1,4,6,2,7,3,5]=>1
[1,4,6,2,7,5,3]=>0
[1,4,6,3,2,5,7]=>2
[1,4,6,3,2,7,5]=>0
[1,4,6,3,5,2,7]=>1
[1,4,6,3,5,7,2]=>0
[1,4,6,3,7,2,5]=>1
[1,4,6,3,7,5,2]=>0
[1,4,6,5,2,3,7]=>2
[1,4,6,5,2,7,3]=>0
[1,4,6,5,3,2,7]=>1
[1,4,6,5,3,7,2]=>0
                    

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Description

The number of final rises of a permutation.
For a permutation $\pi$ of length $n$, this is the maximal $k$ such that
$$\pi(n-k) \leq \pi(n-k+1) \leq \cdots \leq \pi(n-1) \leq \pi(n).$$
Equivalently, this is $n-1$ minus the position of the last descent St000653The last descent of a permutation..

Code

def statistic(pi):
    n = len(pi)
    rise = 0
    pi = [n+1] + list(pi)
    while pi[n-1-rise] < pi[n-rise]:
        rise += 1
    return rise

Created

Oct 15, 2017 at 08:43 by Christian Stump

Updated

Oct 15, 2017 at 08:43 by Christian Stump