- FindStat

edit this statistic or download as text // json

Identifier

St000308: Permutations ⟶ ℤ

Values

=>
                            
                            
                            
                            

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

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Description

The height of the tree associated to a permutation.
A permutation can be mapped to a rooted tree with vertices $\{0,1,2,\ldots,n\}$ and root $0$ in the following way. Entries of the permutations are inserted one after the other, each child is larger than its parent and the children are in strict order from left to right. Details of the construction are found in [1].
The statistic is given by the height of this tree.
See also St000325The width of the tree associated to a permutation. for the width of this tree.

References

[1] Permutation trees of power n and height k. OEIS:A179454
[2] http://oeis.org/wiki/User:Peter_Luschny/PermutationTrees

Code

def statistic(pi):
    if pi == []: return 0
    
    root, i, h = 0, 0, 0 
    branch, next = [root], pi[0]

    while true:
        while next < branch[len(branch)-1]:
            del(branch[len(branch)-1])
        current = root

        while next > current:
            i += 1
            branch.append(next)
            h = max(h, len(branch))
            if i >= len(pi): return h-1
            current, next = next, pi[i]

Created

Dec 08, 2015 at 08:43 by Peter Luschny

Updated

Feb 25, 2022 at 16:58 by Nadia Lafreniere