edit this statistic or download as text // json
Identifier
Values
=>
[1]=>1 [1,2]=>1 [2,1]=>2 [1,2,3]=>1 [1,3,2]=>1 [2,1,3]=>2 [2,3,1]=>2 [3,1,2]=>2 [3,2,1]=>3 [1,2,3,4]=>1 [1,2,4,3]=>1 [1,3,2,4]=>1 [1,3,4,2]=>1 [1,4,2,3]=>1 [1,4,3,2]=>1 [2,1,3,4]=>2 [2,1,4,3]=>2 [2,3,1,4]=>2 [2,3,4,1]=>2 [2,4,1,3]=>2 [2,4,3,1]=>3 [3,1,2,4]=>2 [3,1,4,2]=>2 [3,2,1,4]=>3 [3,2,4,1]=>3 [3,4,1,2]=>2 [3,4,2,1]=>3 [4,1,2,3]=>2 [4,1,3,2]=>2 [4,2,1,3]=>3 [4,2,3,1]=>3 [4,3,1,2]=>3 [4,3,2,1]=>4 [1,2,3,4,5]=>1 [1,2,3,5,4]=>1 [1,2,4,3,5]=>1 [1,2,4,5,3]=>1 [1,2,5,3,4]=>1 [1,2,5,4,3]=>1 [1,3,2,4,5]=>1 [1,3,2,5,4]=>1 [1,3,4,2,5]=>1 [1,3,4,5,2]=>1 [1,3,5,2,4]=>1 [1,3,5,4,2]=>1 [1,4,2,3,5]=>1 [1,4,2,5,3]=>1 [1,4,3,2,5]=>1 [1,4,3,5,2]=>1 [1,4,5,2,3]=>1 [1,4,5,3,2]=>1 [1,5,2,3,4]=>1 [1,5,2,4,3]=>1 [1,5,3,2,4]=>1 [1,5,3,4,2]=>1 [1,5,4,2,3]=>1 [1,5,4,3,2]=>1 [2,1,3,4,5]=>2 [2,1,3,5,4]=>2 [2,1,4,3,5]=>2 [2,1,4,5,3]=>2 [2,1,5,3,4]=>2 [2,1,5,4,3]=>2 [2,3,1,4,5]=>2 [2,3,1,5,4]=>2 [2,3,4,1,5]=>2 [2,3,4,5,1]=>2 [2,3,5,1,4]=>2 [2,3,5,4,1]=>3 [2,4,1,3,5]=>2 [2,4,1,5,3]=>2 [2,4,3,1,5]=>3 [2,4,3,5,1]=>3 [2,4,5,1,3]=>2 [2,4,5,3,1]=>3 [2,5,1,3,4]=>2 [2,5,1,4,3]=>2 [2,5,3,1,4]=>3 [2,5,3,4,1]=>3 [2,5,4,1,3]=>3 [2,5,4,3,1]=>4 [3,1,2,4,5]=>2 [3,1,2,5,4]=>2 [3,1,4,2,5]=>2 [3,1,4,5,2]=>2 [3,1,5,2,4]=>2 [3,1,5,4,2]=>2 [3,2,1,4,5]=>3 [3,2,1,5,4]=>3 [3,2,4,1,5]=>3 [3,2,4,5,1]=>3 [3,2,5,1,4]=>3 [3,2,5,4,1]=>3 [3,4,1,2,5]=>2 [3,4,1,5,2]=>2 [3,4,2,1,5]=>3 [3,4,2,5,1]=>3 [3,4,5,1,2]=>2 [3,4,5,2,1]=>3 [3,5,1,2,4]=>2 [3,5,1,4,2]=>2 [3,5,2,1,4]=>3 [3,5,2,4,1]=>3 [3,5,4,1,2]=>3 [3,5,4,2,1]=>4 [4,1,2,3,5]=>2 [4,1,2,5,3]=>2 [4,1,3,2,5]=>2 [4,1,3,5,2]=>2 [4,1,5,2,3]=>2 [4,1,5,3,2]=>2 [4,2,1,3,5]=>3 [4,2,1,5,3]=>3 [4,2,3,1,5]=>3 [4,2,3,5,1]=>3 [4,2,5,1,3]=>3 [4,2,5,3,1]=>3 [4,3,1,2,5]=>3 [4,3,1,5,2]=>3 [4,3,2,1,5]=>4 [4,3,2,5,1]=>4 [4,3,5,1,2]=>3 [4,3,5,2,1]=>4 [4,5,1,2,3]=>2 [4,5,1,3,2]=>2 [4,5,2,1,3]=>3 [4,5,2,3,1]=>3 [4,5,3,1,2]=>3 [4,5,3,2,1]=>4 [5,1,2,3,4]=>2 [5,1,2,4,3]=>2 [5,1,3,2,4]=>2 [5,1,3,4,2]=>2 [5,1,4,2,3]=>2 [5,1,4,3,2]=>2 [5,2,1,3,4]=>3 [5,2,1,4,3]=>3 [5,2,3,1,4]=>3 [5,2,3,4,1]=>3 [5,2,4,1,3]=>3 [5,2,4,3,1]=>4 [5,3,1,2,4]=>3 [5,3,1,4,2]=>3 [5,3,2,1,4]=>4 [5,3,2,4,1]=>4 [5,3,4,1,2]=>3 [5,3,4,2,1]=>4 [5,4,1,2,3]=>3 [5,4,1,3,2]=>3 [5,4,2,1,3]=>4 [5,4,2,3,1]=>4 [5,4,3,1,2]=>4 [5,4,3,2,1]=>5 [1,2,3,4,5,6]=>1 [1,2,3,4,6,5]=>1 [1,2,3,5,4,6]=>1 [1,2,3,5,6,4]=>1 [1,2,3,6,4,5]=>1 [1,2,3,6,5,4]=>1 [1,2,4,3,5,6]=>1 [1,2,4,3,6,5]=>1 [1,2,4,5,3,6]=>1 [1,2,4,5,6,3]=>1 [1,2,4,6,3,5]=>1 [1,2,4,6,5,3]=>1 [1,2,5,3,4,6]=>1 [1,2,5,3,6,4]=>1 [1,2,5,4,3,6]=>1 [1,2,5,4,6,3]=>1 [1,2,5,6,3,4]=>1 [1,2,5,6,4,3]=>1 [1,2,6,3,4,5]=>1 [1,2,6,3,5,4]=>1 [1,2,6,4,3,5]=>1 [1,2,6,4,5,3]=>1 [1,2,6,5,3,4]=>1 [1,2,6,5,4,3]=>1 [1,3,2,4,5,6]=>1 [1,3,2,4,6,5]=>1 [1,3,2,5,4,6]=>1 [1,3,2,5,6,4]=>1 [1,3,2,6,4,5]=>1 [1,3,2,6,5,4]=>1 [1,3,4,2,5,6]=>1 [1,3,4,2,6,5]=>1 [1,3,4,5,2,6]=>1 [1,3,4,5,6,2]=>1 [1,3,4,6,2,5]=>1 [1,3,4,6,5,2]=>1 [1,3,5,2,4,6]=>1 [1,3,5,2,6,4]=>1 [1,3,5,4,2,6]=>1 [1,3,5,4,6,2]=>1 [1,3,5,6,2,4]=>1 [1,3,5,6,4,2]=>1 [1,3,6,2,4,5]=>1 [1,3,6,2,5,4]=>1 [1,3,6,4,2,5]=>1 [1,3,6,4,5,2]=>1 [1,3,6,5,2,4]=>1 [1,3,6,5,4,2]=>1 [1,4,2,3,5,6]=>1 [1,4,2,3,6,5]=>1 [1,4,2,5,3,6]=>1 [1,4,2,5,6,3]=>1 [1,4,2,6,3,5]=>1 [1,4,2,6,5,3]=>1 [1,4,3,2,5,6]=>1 [1,4,3,2,6,5]=>1 [1,4,3,5,2,6]=>1 [1,4,3,5,6,2]=>1 [1,4,3,6,2,5]=>1 [1,4,3,6,5,2]=>1 [1,4,5,2,3,6]=>1 [1,4,5,2,6,3]=>1 [1,4,5,3,2,6]=>1 [1,4,5,3,6,2]=>1 [1,4,5,6,2,3]=>1 [1,4,5,6,3,2]=>1 [1,4,6,2,3,5]=>1 [1,4,6,2,5,3]=>1 [1,4,6,3,2,5]=>1 [1,4,6,3,5,2]=>1 [1,4,6,5,2,3]=>1 [1,4,6,5,3,2]=>1 [1,5,2,3,4,6]=>1 [1,5,2,3,6,4]=>1 [1,5,2,4,3,6]=>1 [1,5,2,4,6,3]=>1 [1,5,2,6,3,4]=>1 [1,5,2,6,4,3]=>1 [1,5,3,2,4,6]=>1 [1,5,3,2,6,4]=>1 [1,5,3,4,2,6]=>1 [1,5,3,4,6,2]=>1 [1,5,3,6,2,4]=>1 [1,5,3,6,4,2]=>1 [1,5,4,2,3,6]=>1 [1,5,4,2,6,3]=>1 [1,5,4,3,2,6]=>1 [1,5,4,3,6,2]=>1 [1,5,4,6,2,3]=>1 [1,5,4,6,3,2]=>1 [1,5,6,2,3,4]=>1 [1,5,6,2,4,3]=>1 [1,5,6,3,2,4]=>1 [1,5,6,3,4,2]=>1 [1,5,6,4,2,3]=>1 [1,5,6,4,3,2]=>1 [1,6,2,3,4,5]=>1 [1,6,2,3,5,4]=>1 [1,6,2,4,3,5]=>1 [1,6,2,4,5,3]=>1 [1,6,2,5,3,4]=>1 [1,6,2,5,4,3]=>1 [1,6,3,2,4,5]=>1 [1,6,3,2,5,4]=>1 [1,6,3,4,2,5]=>1 [1,6,3,4,5,2]=>1 [1,6,3,5,2,4]=>1 [1,6,3,5,4,2]=>1 [1,6,4,2,3,5]=>1 [1,6,4,2,5,3]=>1 [1,6,4,3,2,5]=>1 [1,6,4,3,5,2]=>1 [1,6,4,5,2,3]=>1 [1,6,4,5,3,2]=>1 [1,6,5,2,3,4]=>1 [1,6,5,2,4,3]=>1 [1,6,5,3,2,4]=>1 [1,6,5,3,4,2]=>1 [1,6,5,4,2,3]=>1 [1,6,5,4,3,2]=>1 [2,1,3,4,5,6]=>2 [2,1,3,4,6,5]=>2 [2,1,3,5,4,6]=>2 [2,1,3,5,6,4]=>2 [2,1,3,6,4,5]=>2 [2,1,3,6,5,4]=>2 [2,1,4,3,5,6]=>2 [2,1,4,3,6,5]=>2 [2,1,4,5,3,6]=>2 [2,1,4,5,6,3]=>2 [2,1,4,6,3,5]=>2 [2,1,4,6,5,3]=>2 [2,1,5,3,4,6]=>2 [2,1,5,3,6,4]=>2 [2,1,5,4,3,6]=>2 [2,1,5,4,6,3]=>2 [2,1,5,6,3,4]=>2 [2,1,5,6,4,3]=>2 [2,1,6,3,4,5]=>2 [2,1,6,3,5,4]=>2 [2,1,6,4,3,5]=>2 [2,1,6,4,5,3]=>2 [2,1,6,5,3,4]=>2 [2,1,6,5,4,3]=>2 [2,3,1,4,5,6]=>2 [2,3,1,4,6,5]=>2 [2,3,1,5,4,6]=>2 [2,3,1,5,6,4]=>2 [2,3,1,6,4,5]=>2 [2,3,1,6,5,4]=>2 [2,3,4,1,5,6]=>2 [2,3,4,1,6,5]=>2 [2,3,4,5,1,6]=>2 [2,3,4,5,6,1]=>2 [2,3,4,6,1,5]=>2 [2,3,4,6,5,1]=>3 [2,3,5,1,4,6]=>2 [2,3,5,1,6,4]=>2 [2,3,5,4,1,6]=>3 [2,3,5,4,6,1]=>3 [2,3,5,6,1,4]=>2 [2,3,5,6,4,1]=>3 [2,3,6,1,4,5]=>2 [2,3,6,1,5,4]=>2 [2,3,6,4,1,5]=>3 [2,3,6,4,5,1]=>3 [2,3,6,5,1,4]=>3 [2,3,6,5,4,1]=>4 [2,4,1,3,5,6]=>2 [2,4,1,3,6,5]=>2 [2,4,1,5,3,6]=>2 [2,4,1,5,6,3]=>2 [2,4,1,6,3,5]=>2 [2,4,1,6,5,3]=>2 [2,4,3,1,5,6]=>3 [2,4,3,1,6,5]=>3 [2,4,3,5,1,6]=>3 [2,4,3,5,6,1]=>3 [2,4,3,6,1,5]=>3 [2,4,3,6,5,1]=>3 [2,4,5,1,3,6]=>2 [2,4,5,1,6,3]=>2 [2,4,5,3,1,6]=>3 [2,4,5,3,6,1]=>3 [2,4,5,6,1,3]=>2 [2,4,5,6,3,1]=>3 [2,4,6,1,3,5]=>2 [2,4,6,1,5,3]=>2 [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]=>4 [2,5,1,3,4,6]=>2 [2,5,1,3,6,4]=>2 [2,5,1,4,3,6]=>2 [2,5,1,4,6,3]=>2 [2,5,1,6,3,4]=>2 [2,5,1,6,4,3]=>2 [2,5,3,1,4,6]=>3 [2,5,3,1,6,4]=>3 [2,5,3,4,1,6]=>3 [2,5,3,4,6,1]=>3 [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]=>3 [2,5,4,3,1,6]=>4 [2,5,4,3,6,1]=>4 [2,5,4,6,1,3]=>3 [2,5,4,6,3,1]=>4 [2,5,6,1,3,4]=>2 [2,5,6,1,4,3]=>2 [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]=>4 [2,6,1,3,4,5]=>2 [2,6,1,3,5,4]=>2 [2,6,1,4,3,5]=>2 [2,6,1,4,5,3]=>2 [2,6,1,5,3,4]=>2 [2,6,1,5,4,3]=>2 [2,6,3,1,4,5]=>3 [2,6,3,1,5,4]=>3 [2,6,3,4,1,5]=>3 [2,6,3,4,5,1]=>3 [2,6,3,5,1,4]=>3 [2,6,3,5,4,1]=>4 [2,6,4,1,3,5]=>3 [2,6,4,1,5,3]=>3 [2,6,4,3,1,5]=>4 [2,6,4,3,5,1]=>4 [2,6,4,5,1,3]=>3 [2,6,4,5,3,1]=>4 [2,6,5,1,3,4]=>3 [2,6,5,1,4,3]=>3 [2,6,5,3,1,4]=>4 [2,6,5,3,4,1]=>4 [2,6,5,4,1,3]=>4 [2,6,5,4,3,1]=>5 [3,1,2,4,5,6]=>2 [3,1,2,4,6,5]=>2 [3,1,2,5,4,6]=>2 [3,1,2,5,6,4]=>2 [3,1,2,6,4,5]=>2 [3,1,2,6,5,4]=>2 [3,1,4,2,5,6]=>2 [3,1,4,2,6,5]=>2 [3,1,4,5,2,6]=>2 [3,1,4,5,6,2]=>2 [3,1,4,6,2,5]=>2 [3,1,4,6,5,2]=>2 [3,1,5,2,4,6]=>2 [3,1,5,2,6,4]=>2 [3,1,5,4,2,6]=>2 [3,1,5,4,6,2]=>2 [3,1,5,6,2,4]=>2 [3,1,5,6,4,2]=>2 [3,1,6,2,4,5]=>2 [3,1,6,2,5,4]=>2 [3,1,6,4,2,5]=>2 [3,1,6,4,5,2]=>2 [3,1,6,5,2,4]=>2 [3,1,6,5,4,2]=>2 [3,2,1,4,5,6]=>3 [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]=>3 [3,2,4,1,5,6]=>3 [3,2,4,1,6,5]=>3 [3,2,4,5,1,6]=>3 [3,2,4,5,6,1]=>3 [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]=>3 [3,2,5,4,1,6]=>3 [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]=>3 [3,2,6,4,1,5]=>3 [3,2,6,4,5,1]=>3 [3,2,6,5,1,4]=>3 [3,2,6,5,4,1]=>4 [3,4,1,2,5,6]=>2 [3,4,1,2,6,5]=>2 [3,4,1,5,2,6]=>2 [3,4,1,5,6,2]=>2 [3,4,1,6,2,5]=>2 [3,4,1,6,5,2]=>2 [3,4,2,1,5,6]=>3 [3,4,2,1,6,5]=>3 [3,4,2,5,1,6]=>3 [3,4,2,5,6,1]=>3 [3,4,2,6,1,5]=>3 [3,4,2,6,5,1]=>3 [3,4,5,1,2,6]=>2 [3,4,5,1,6,2]=>2 [3,4,5,2,1,6]=>3 [3,4,5,2,6,1]=>3 [3,4,5,6,1,2]=>2 [3,4,5,6,2,1]=>3 [3,4,6,1,2,5]=>2 [3,4,6,1,5,2]=>2 [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]=>4 [3,5,1,2,4,6]=>2 [3,5,1,2,6,4]=>2 [3,5,1,4,2,6]=>2 [3,5,1,4,6,2]=>2 [3,5,1,6,2,4]=>2 [3,5,1,6,4,2]=>2 [3,5,2,1,4,6]=>3 [3,5,2,1,6,4]=>3 [3,5,2,4,1,6]=>3 [3,5,2,4,6,1]=>3 [3,5,2,6,1,4]=>3 [3,5,2,6,4,1]=>3 [3,5,4,1,2,6]=>3 [3,5,4,1,6,2]=>3 [3,5,4,2,1,6]=>4 [3,5,4,2,6,1]=>4 [3,5,4,6,1,2]=>3 [3,5,4,6,2,1]=>4 [3,5,6,1,2,4]=>2 [3,5,6,1,4,2]=>2 [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]=>4 [3,6,1,2,4,5]=>2 [3,6,1,2,5,4]=>2 [3,6,1,4,2,5]=>2 [3,6,1,4,5,2]=>2 [3,6,1,5,2,4]=>2 [3,6,1,5,4,2]=>2 [3,6,2,1,4,5]=>3 [3,6,2,1,5,4]=>3 [3,6,2,4,1,5]=>3 [3,6,2,4,5,1]=>3 [3,6,2,5,1,4]=>3 [3,6,2,5,4,1]=>4 [3,6,4,1,2,5]=>3 [3,6,4,1,5,2]=>3 [3,6,4,2,1,5]=>4 [3,6,4,2,5,1]=>4 [3,6,4,5,1,2]=>3 [3,6,4,5,2,1]=>4 [3,6,5,1,2,4]=>3 [3,6,5,1,4,2]=>3 [3,6,5,2,1,4]=>4 [3,6,5,2,4,1]=>4 [3,6,5,4,1,2]=>4 [3,6,5,4,2,1]=>5 [4,1,2,3,5,6]=>2 [4,1,2,3,6,5]=>2 [4,1,2,5,3,6]=>2 [4,1,2,5,6,3]=>2 [4,1,2,6,3,5]=>2 [4,1,2,6,5,3]=>2 [4,1,3,2,5,6]=>2 [4,1,3,2,6,5]=>2 [4,1,3,5,2,6]=>2 [4,1,3,5,6,2]=>2 [4,1,3,6,2,5]=>2 [4,1,3,6,5,2]=>2 [4,1,5,2,3,6]=>2 [4,1,5,2,6,3]=>2 [4,1,5,3,2,6]=>2 [4,1,5,3,6,2]=>2 [4,1,5,6,2,3]=>2 [4,1,5,6,3,2]=>2 [4,1,6,2,3,5]=>2 [4,1,6,2,5,3]=>2 [4,1,6,3,2,5]=>2 [4,1,6,3,5,2]=>2 [4,1,6,5,2,3]=>2 [4,1,6,5,3,2]=>2 [4,2,1,3,5,6]=>3 [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]=>3 [4,2,3,1,5,6]=>3 [4,2,3,1,6,5]=>3 [4,2,3,5,1,6]=>3 [4,2,3,5,6,1]=>3 [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]=>3 [4,2,5,3,1,6]=>3 [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]=>3 [4,2,6,3,1,5]=>3 [4,2,6,3,5,1]=>3 [4,2,6,5,1,3]=>3 [4,2,6,5,3,1]=>4 [4,3,1,2,5,6]=>3 [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]=>3 [4,3,2,1,5,6]=>4 [4,3,2,1,6,5]=>4 [4,3,2,5,1,6]=>4 [4,3,2,5,6,1]=>4 [4,3,2,6,1,5]=>4 [4,3,2,6,5,1]=>4 [4,3,5,1,2,6]=>3 [4,3,5,1,6,2]=>3 [4,3,5,2,1,6]=>4 [4,3,5,2,6,1]=>4 [4,3,5,6,1,2]=>3 [4,3,5,6,2,1]=>4 [4,3,6,1,2,5]=>3 [4,3,6,1,5,2]=>3 [4,3,6,2,1,5]=>4 [4,3,6,2,5,1]=>4 [4,3,6,5,1,2]=>3 [4,3,6,5,2,1]=>4 [4,5,1,2,3,6]=>2 [4,5,1,2,6,3]=>2 [4,5,1,3,2,6]=>2 [4,5,1,3,6,2]=>2 [4,5,1,6,2,3]=>2 [4,5,1,6,3,2]=>2 [4,5,2,1,3,6]=>3 [4,5,2,1,6,3]=>3 [4,5,2,3,1,6]=>3 [4,5,2,3,6,1]=>3 [4,5,2,6,1,3]=>3 [4,5,2,6,3,1]=>3 [4,5,3,1,2,6]=>3 [4,5,3,1,6,2]=>3 [4,5,3,2,1,6]=>4 [4,5,3,2,6,1]=>4 [4,5,3,6,1,2]=>3 [4,5,3,6,2,1]=>4 [4,5,6,1,2,3]=>2 [4,5,6,1,3,2]=>2 [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]=>4 [4,6,1,2,3,5]=>2 [4,6,1,2,5,3]=>2 [4,6,1,3,2,5]=>2 [4,6,1,3,5,2]=>2 [4,6,1,5,2,3]=>2 [4,6,1,5,3,2]=>2 [4,6,2,1,3,5]=>3 [4,6,2,1,5,3]=>3 [4,6,2,3,1,5]=>3 [4,6,2,3,5,1]=>3 [4,6,2,5,1,3]=>3 [4,6,2,5,3,1]=>4 [4,6,3,1,2,5]=>3 [4,6,3,1,5,2]=>3 [4,6,3,2,1,5]=>4 [4,6,3,2,5,1]=>4 [4,6,3,5,1,2]=>3 [4,6,3,5,2,1]=>4 [4,6,5,1,2,3]=>3 [4,6,5,1,3,2]=>3 [4,6,5,2,1,3]=>4 [4,6,5,2,3,1]=>4 [4,6,5,3,1,2]=>4 [4,6,5,3,2,1]=>5 [5,1,2,3,4,6]=>2 [5,1,2,3,6,4]=>2 [5,1,2,4,3,6]=>2 [5,1,2,4,6,3]=>2 [5,1,2,6,3,4]=>2 [5,1,2,6,4,3]=>2 [5,1,3,2,4,6]=>2 [5,1,3,2,6,4]=>2 [5,1,3,4,2,6]=>2 [5,1,3,4,6,2]=>2 [5,1,3,6,2,4]=>2 [5,1,3,6,4,2]=>2 [5,1,4,2,3,6]=>2 [5,1,4,2,6,3]=>2 [5,1,4,3,2,6]=>2 [5,1,4,3,6,2]=>2 [5,1,4,6,2,3]=>2 [5,1,4,6,3,2]=>2 [5,1,6,2,3,4]=>2 [5,1,6,2,4,3]=>2 [5,1,6,3,2,4]=>2 [5,1,6,3,4,2]=>2 [5,1,6,4,2,3]=>2 [5,1,6,4,3,2]=>2 [5,2,1,3,4,6]=>3 [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]=>3 [5,2,3,1,4,6]=>3 [5,2,3,1,6,4]=>3 [5,2,3,4,1,6]=>3 [5,2,3,4,6,1]=>3 [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]=>3 [5,2,4,3,1,6]=>4 [5,2,4,3,6,1]=>4 [5,2,4,6,1,3]=>3 [5,2,4,6,3,1]=>4 [5,2,6,1,3,4]=>3 [5,2,6,1,4,3]=>3 [5,2,6,3,1,4]=>3 [5,2,6,3,4,1]=>3 [5,2,6,4,1,3]=>3 [5,2,6,4,3,1]=>4 [5,3,1,2,4,6]=>3 [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]=>3 [5,3,2,1,4,6]=>4 [5,3,2,1,6,4]=>4 [5,3,2,4,1,6]=>4 [5,3,2,4,6,1]=>4 [5,3,2,6,1,4]=>4 [5,3,2,6,4,1]=>4 [5,3,4,1,2,6]=>3 [5,3,4,1,6,2]=>3 [5,3,4,2,1,6]=>4 [5,3,4,2,6,1]=>4 [5,3,4,6,1,2]=>3 [5,3,4,6,2,1]=>4 [5,3,6,1,2,4]=>3 [5,3,6,1,4,2]=>3 [5,3,6,2,1,4]=>4 [5,3,6,2,4,1]=>4 [5,3,6,4,1,2]=>3 [5,3,6,4,2,1]=>4 [5,4,1,2,3,6]=>3 [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]=>3 [5,4,2,1,3,6]=>4 [5,4,2,1,6,3]=>4 [5,4,2,3,1,6]=>4 [5,4,2,3,6,1]=>4 [5,4,2,6,1,3]=>4 [5,4,2,6,3,1]=>4 [5,4,3,1,2,6]=>4 [5,4,3,1,6,2]=>4 [5,4,3,2,1,6]=>5 [5,4,3,2,6,1]=>5 [5,4,3,6,1,2]=>4 [5,4,3,6,2,1]=>5 [5,4,6,1,2,3]=>3 [5,4,6,1,3,2]=>3 [5,4,6,2,1,3]=>4 [5,4,6,2,3,1]=>4 [5,4,6,3,1,2]=>4 [5,4,6,3,2,1]=>5 [5,6,1,2,3,4]=>2 [5,6,1,2,4,3]=>2 [5,6,1,3,2,4]=>2 [5,6,1,3,4,2]=>2 [5,6,1,4,2,3]=>2 [5,6,1,4,3,2]=>2 [5,6,2,1,3,4]=>3 [5,6,2,1,4,3]=>3 [5,6,2,3,1,4]=>3 [5,6,2,3,4,1]=>3 [5,6,2,4,1,3]=>3 [5,6,2,4,3,1]=>4 [5,6,3,1,2,4]=>3 [5,6,3,1,4,2]=>3 [5,6,3,2,1,4]=>4 [5,6,3,2,4,1]=>4 [5,6,3,4,1,2]=>3 [5,6,3,4,2,1]=>4 [5,6,4,1,2,3]=>3 [5,6,4,1,3,2]=>3 [5,6,4,2,1,3]=>4 [5,6,4,2,3,1]=>4 [5,6,4,3,1,2]=>4 [5,6,4,3,2,1]=>5 [6,1,2,3,4,5]=>2 [6,1,2,3,5,4]=>2 [6,1,2,4,3,5]=>2 [6,1,2,4,5,3]=>2 [6,1,2,5,3,4]=>2 [6,1,2,5,4,3]=>2 [6,1,3,2,4,5]=>2 [6,1,3,2,5,4]=>2 [6,1,3,4,2,5]=>2 [6,1,3,4,5,2]=>2 [6,1,3,5,2,4]=>2 [6,1,3,5,4,2]=>2 [6,1,4,2,3,5]=>2 [6,1,4,2,5,3]=>2 [6,1,4,3,2,5]=>2 [6,1,4,3,5,2]=>2 [6,1,4,5,2,3]=>2 [6,1,4,5,3,2]=>2 [6,1,5,2,3,4]=>2 [6,1,5,2,4,3]=>2 [6,1,5,3,2,4]=>2 [6,1,5,3,4,2]=>2 [6,1,5,4,2,3]=>2 [6,1,5,4,3,2]=>2 [6,2,1,3,4,5]=>3 [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]=>3 [6,2,3,1,4,5]=>3 [6,2,3,1,5,4]=>3 [6,2,3,4,1,5]=>3 [6,2,3,4,5,1]=>3 [6,2,3,5,1,4]=>3 [6,2,3,5,4,1]=>4 [6,2,4,1,3,5]=>3 [6,2,4,1,5,3]=>3 [6,2,4,3,1,5]=>4 [6,2,4,3,5,1]=>4 [6,2,4,5,1,3]=>3 [6,2,4,5,3,1]=>4 [6,2,5,1,3,4]=>3 [6,2,5,1,4,3]=>3 [6,2,5,3,1,4]=>4 [6,2,5,3,4,1]=>4 [6,2,5,4,1,3]=>4 [6,2,5,4,3,1]=>5 [6,3,1,2,4,5]=>3 [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]=>3 [6,3,2,1,4,5]=>4 [6,3,2,1,5,4]=>4 [6,3,2,4,1,5]=>4 [6,3,2,4,5,1]=>4 [6,3,2,5,1,4]=>4 [6,3,2,5,4,1]=>4 [6,3,4,1,2,5]=>3 [6,3,4,1,5,2]=>3 [6,3,4,2,1,5]=>4 [6,3,4,2,5,1]=>4 [6,3,4,5,1,2]=>3 [6,3,4,5,2,1]=>4 [6,3,5,1,2,4]=>3 [6,3,5,1,4,2]=>3 [6,3,5,2,1,4]=>4 [6,3,5,2,4,1]=>4 [6,3,5,4,1,2]=>4 [6,3,5,4,2,1]=>5 [6,4,1,2,3,5]=>3 [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]=>3 [6,4,2,1,3,5]=>4 [6,4,2,1,5,3]=>4 [6,4,2,3,1,5]=>4 [6,4,2,3,5,1]=>4 [6,4,2,5,1,3]=>4 [6,4,2,5,3,1]=>4 [6,4,3,1,2,5]=>4 [6,4,3,1,5,2]=>4 [6,4,3,2,1,5]=>5 [6,4,3,2,5,1]=>5 [6,4,3,5,1,2]=>4 [6,4,3,5,2,1]=>5 [6,4,5,1,2,3]=>3 [6,4,5,1,3,2]=>3 [6,4,5,2,1,3]=>4 [6,4,5,2,3,1]=>4 [6,4,5,3,1,2]=>4 [6,4,5,3,2,1]=>5 [6,5,1,2,3,4]=>3 [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]=>3 [6,5,2,1,3,4]=>4 [6,5,2,1,4,3]=>4 [6,5,2,3,1,4]=>4 [6,5,2,3,4,1]=>4 [6,5,2,4,1,3]=>4 [6,5,2,4,3,1]=>5 [6,5,3,1,2,4]=>4 [6,5,3,1,4,2]=>4 [6,5,3,2,1,4]=>5 [6,5,3,2,4,1]=>5 [6,5,3,4,1,2]=>4 [6,5,3,4,2,1]=>5 [6,5,4,1,2,3]=>4 [6,5,4,1,3,2]=>4 [6,5,4,2,1,3]=>5 [6,5,4,2,3,1]=>5 [6,5,4,3,1,2]=>5 [6,5,4,3,2,1]=>6
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Description
The number of bumps occurring when Schensted-inserting the letter 1 of a permutation.
For a given permutation $\pi$, this is the index of the row containing $\pi^{-1}(1)$ of the recording tableau of $\pi$ (obtained by Mp00070Robinson-Schensted recording tableau).
Code
def statistic(pi):
    if pi:
        return 1+RSK(pi)[1].cells_containing(pi.index(1)+1)[0][0]
    # I am not sure of the value of the empty permutation. It might be 0.
Created
May 11, 2019 at 22:46 by Martin Rubey
Updated
May 12, 2019 at 09:36 by Martin Rubey