edit this statistic or download as text // json
Identifier
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