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]=>1 [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]=>2 [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]=>1 [2,4,1,3]=>2 [2,4,3,1]=>1 [3,1,2,4]=>3 [3,1,4,2]=>2 [3,2,1,4]=>2 [3,2,4,1]=>1 [3,4,1,2]=>2 [3,4,2,1]=>1 [4,1,2,3]=>3 [4,1,3,2]=>2 [4,2,1,3]=>2 [4,2,3,1]=>1 [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]=>3 [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]=>2 [1,3,5,2,4]=>3 [1,3,5,4,2]=>2 [1,4,2,3,5]=>4 [1,4,2,5,3]=>3 [1,4,3,2,5]=>3 [1,4,3,5,2]=>2 [1,4,5,2,3]=>3 [1,4,5,3,2]=>2 [1,5,2,3,4]=>4 [1,5,2,4,3]=>3 [1,5,3,2,4]=>3 [1,5,3,4,2]=>2 [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]=>2 [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]=>2 [2,3,4,5,1]=>1 [2,3,5,1,4]=>2 [2,3,5,4,1]=>1 [2,4,1,3,5]=>3 [2,4,1,5,3]=>2 [2,4,3,1,5]=>2 [2,4,3,5,1]=>1 [2,4,5,1,3]=>2 [2,4,5,3,1]=>1 [2,5,1,3,4]=>3 [2,5,1,4,3]=>2 [2,5,3,1,4]=>2 [2,5,3,4,1]=>1 [2,5,4,1,3]=>2 [2,5,4,3,1]=>1 [3,1,2,4,5]=>4 [3,1,2,5,4]=>3 [3,1,4,2,5]=>3 [3,1,4,5,2]=>2 [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]=>1 [3,2,5,1,4]=>2 [3,2,5,4,1]=>1 [3,4,1,2,5]=>3 [3,4,1,5,2]=>2 [3,4,2,1,5]=>2 [3,4,2,5,1]=>1 [3,4,5,1,2]=>2 [3,4,5,2,1]=>1 [3,5,1,2,4]=>3 [3,5,1,4,2]=>2 [3,5,2,1,4]=>2 [3,5,2,4,1]=>1 [3,5,4,1,2]=>2 [3,5,4,2,1]=>1 [4,1,2,3,5]=>4 [4,1,2,5,3]=>3 [4,1,3,2,5]=>3 [4,1,3,5,2]=>2 [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]=>1 [4,2,5,1,3]=>2 [4,2,5,3,1]=>1 [4,3,1,2,5]=>3 [4,3,1,5,2]=>2 [4,3,2,1,5]=>2 [4,3,2,5,1]=>1 [4,3,5,1,2]=>2 [4,3,5,2,1]=>1 [4,5,1,2,3]=>3 [4,5,1,3,2]=>2 [4,5,2,1,3]=>2 [4,5,2,3,1]=>1 [4,5,3,1,2]=>2 [4,5,3,2,1]=>1 [5,1,2,3,4]=>4 [5,1,2,4,3]=>3 [5,1,3,2,4]=>3 [5,1,3,4,2]=>2 [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]=>1 [5,2,4,1,3]=>2 [5,2,4,3,1]=>1 [5,3,1,2,4]=>3 [5,3,1,4,2]=>2 [5,3,2,1,4]=>2 [5,3,2,4,1]=>1 [5,3,4,1,2]=>2 [5,3,4,2,1]=>1 [5,4,1,2,3]=>3 [5,4,1,3,2]=>2 [5,4,2,1,3]=>2 [5,4,2,3,1]=>1 [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]=>4 [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]=>3 [1,2,4,6,3,5]=>4 [1,2,4,6,5,3]=>3 [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]=>3 [1,2,5,6,3,4]=>4 [1,2,5,6,4,3]=>3 [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]=>3 [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]=>3 [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]=>3 [1,3,4,5,6,2]=>2 [1,3,4,6,2,5]=>3 [1,3,4,6,5,2]=>2 [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]=>2 [1,3,5,6,2,4]=>3 [1,3,5,6,4,2]=>2 [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]=>2 [1,3,6,5,2,4]=>3 [1,3,6,5,4,2]=>2 [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]=>3 [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]=>2 [1,4,3,6,2,5]=>3 [1,4,3,6,5,2]=>2 [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]=>2 [1,4,5,6,2,3]=>3 [1,4,5,6,3,2]=>2 [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]=>2 [1,4,6,5,2,3]=>3 [1,4,6,5,3,2]=>2 [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]=>3 [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]=>2 [1,5,3,6,2,4]=>3 [1,5,3,6,4,2]=>2 [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]=>2 [1,5,4,6,2,3]=>3 [1,5,4,6,3,2]=>2 [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]=>2 [1,5,6,4,2,3]=>3 [1,5,6,4,3,2]=>2 [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]=>3 [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]=>2 [1,6,3,5,2,4]=>3 [1,6,3,5,4,2]=>2 [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]=>2 [1,6,4,5,2,3]=>3 [1,6,4,5,3,2]=>2 [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]=>2 [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]=>3 [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]=>2 [2,1,4,6,3,5]=>3 [2,1,4,6,5,3]=>2 [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]=>2 [2,1,5,6,3,4]=>3 [2,1,5,6,4,3]=>2 [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]=>2 [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]=>2 [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]=>2 [2,3,4,5,1,6]=>2 [2,3,4,5,6,1]=>1 [2,3,4,6,1,5]=>2 [2,3,4,6,5,1]=>1 [2,3,5,1,4,6]=>3 [2,3,5,1,6,4]=>2 [2,3,5,4,1,6]=>2 [2,3,5,4,6,1]=>1 [2,3,5,6,1,4]=>2 [2,3,5,6,4,1]=>1 [2,3,6,1,4,5]=>3 [2,3,6,1,5,4]=>2 [2,3,6,4,1,5]=>2 [2,3,6,4,5,1]=>1 [2,3,6,5,1,4]=>2 [2,3,6,5,4,1]=>1 [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]=>2 [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]=>2 [2,4,3,5,6,1]=>1 [2,4,3,6,1,5]=>2 [2,4,3,6,5,1]=>1 [2,4,5,1,3,6]=>3 [2,4,5,1,6,3]=>2 [2,4,5,3,1,6]=>2 [2,4,5,3,6,1]=>1 [2,4,5,6,1,3]=>2 [2,4,5,6,3,1]=>1 [2,4,6,1,3,5]=>3 [2,4,6,1,5,3]=>2 [2,4,6,3,1,5]=>2 [2,4,6,3,5,1]=>1 [2,4,6,5,1,3]=>2 [2,4,6,5,3,1]=>1 [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]=>2 [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]=>2 [2,5,3,4,6,1]=>1 [2,5,3,6,1,4]=>2 [2,5,3,6,4,1]=>1 [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]=>1 [2,5,4,6,1,3]=>2 [2,5,4,6,3,1]=>1 [2,5,6,1,3,4]=>3 [2,5,6,1,4,3]=>2 [2,5,6,3,1,4]=>2 [2,5,6,3,4,1]=>1 [2,5,6,4,1,3]=>2 [2,5,6,4,3,1]=>1 [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]=>2 [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]=>2 [2,6,3,4,5,1]=>1 [2,6,3,5,1,4]=>2 [2,6,3,5,4,1]=>1 [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]=>1 [2,6,4,5,1,3]=>2 [2,6,4,5,3,1]=>1 [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]=>1 [2,6,5,4,1,3]=>2 [2,6,5,4,3,1]=>1 [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]=>3 [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]=>2 [3,1,4,6,2,5]=>3 [3,1,4,6,5,2]=>2 [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]=>2 [3,1,5,6,2,4]=>3 [3,1,5,6,4,2]=>2 [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]=>2 [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]=>2 [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]=>2 [3,2,4,5,6,1]=>1 [3,2,4,6,1,5]=>2 [3,2,4,6,5,1]=>1 [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]=>1 [3,2,5,6,1,4]=>2 [3,2,5,6,4,1]=>1 [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]=>1 [3,2,6,5,1,4]=>2 [3,2,6,5,4,1]=>1 [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]=>2 [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]=>1 [3,4,2,6,1,5]=>2 [3,4,2,6,5,1]=>1 [3,4,5,1,2,6]=>3 [3,4,5,1,6,2]=>2 [3,4,5,2,1,6]=>2 [3,4,5,2,6,1]=>1 [3,4,5,6,1,2]=>2 [3,4,5,6,2,1]=>1 [3,4,6,1,2,5]=>3 [3,4,6,1,5,2]=>2 [3,4,6,2,1,5]=>2 [3,4,6,2,5,1]=>1 [3,4,6,5,1,2]=>2 [3,4,6,5,2,1]=>1 [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]=>2 [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]=>1 [3,5,2,6,1,4]=>2 [3,5,2,6,4,1]=>1 [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]=>1 [3,5,4,6,1,2]=>2 [3,5,4,6,2,1]=>1 [3,5,6,1,2,4]=>3 [3,5,6,1,4,2]=>2 [3,5,6,2,1,4]=>2 [3,5,6,2,4,1]=>1 [3,5,6,4,1,2]=>2 [3,5,6,4,2,1]=>1 [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]=>2 [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]=>1 [3,6,2,5,1,4]=>2 [3,6,2,5,4,1]=>1 [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]=>1 [3,6,4,5,1,2]=>2 [3,6,4,5,2,1]=>1 [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]=>1 [3,6,5,4,1,2]=>2 [3,6,5,4,2,1]=>1 [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]=>3 [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]=>2 [4,1,3,6,2,5]=>3 [4,1,3,6,5,2]=>2 [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]=>2 [4,1,5,6,2,3]=>3 [4,1,5,6,3,2]=>2 [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]=>2 [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]=>2 [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]=>2 [4,2,3,5,6,1]=>1 [4,2,3,6,1,5]=>2 [4,2,3,6,5,1]=>1 [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]=>1 [4,2,5,6,1,3]=>2 [4,2,5,6,3,1]=>1 [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]=>1 [4,2,6,5,1,3]=>2 [4,2,6,5,3,1]=>1 [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]=>2 [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]=>1 [4,3,2,6,1,5]=>2 [4,3,2,6,5,1]=>1 [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]=>1 [4,3,5,6,1,2]=>2 [4,3,5,6,2,1]=>1 [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]=>1 [4,3,6,5,1,2]=>2 [4,3,6,5,2,1]=>1 [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]=>2 [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]=>1 [4,5,2,6,1,3]=>2 [4,5,2,6,3,1]=>1 [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]=>1 [4,5,3,6,1,2]=>2 [4,5,3,6,2,1]=>1 [4,5,6,1,2,3]=>3 [4,5,6,1,3,2]=>2 [4,5,6,2,1,3]=>2 [4,5,6,2,3,1]=>1 [4,5,6,3,1,2]=>2 [4,5,6,3,2,1]=>1 [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]=>2 [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]=>1 [4,6,2,5,1,3]=>2 [4,6,2,5,3,1]=>1 [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]=>1 [4,6,3,5,1,2]=>2 [4,6,3,5,2,1]=>1 [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]=>1 [4,6,5,3,1,2]=>2 [4,6,5,3,2,1]=>1 [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]=>3 [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]=>2 [5,1,3,6,2,4]=>3 [5,1,3,6,4,2]=>2 [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]=>2 [5,1,4,6,2,3]=>3 [5,1,4,6,3,2]=>2 [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]=>2 [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]=>2 [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]=>2 [5,2,3,4,6,1]=>1 [5,2,3,6,1,4]=>2 [5,2,3,6,4,1]=>1 [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]=>1 [5,2,4,6,1,3]=>2 [5,2,4,6,3,1]=>1 [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]=>1 [5,2,6,4,1,3]=>2 [5,2,6,4,3,1]=>1 [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]=>2 [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]=>1 [5,3,2,6,1,4]=>2 [5,3,2,6,4,1]=>1 [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]=>1 [5,3,4,6,1,2]=>2 [5,3,4,6,2,1]=>1 [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]=>1 [5,3,6,4,1,2]=>2 [5,3,6,4,2,1]=>1 [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]=>2 [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]=>1 [5,4,2,6,1,3]=>2 [5,4,2,6,3,1]=>1 [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]=>1 [5,4,3,6,1,2]=>2 [5,4,3,6,2,1]=>1 [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]=>1 [5,4,6,3,1,2]=>2 [5,4,6,3,2,1]=>1 [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]=>2 [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]=>1 [5,6,2,4,1,3]=>2 [5,6,2,4,3,1]=>1 [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]=>1 [5,6,3,4,1,2]=>2 [5,6,3,4,2,1]=>1 [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]=>1 [5,6,4,3,1,2]=>2 [5,6,4,3,2,1]=>1 [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]=>3 [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]=>2 [6,1,3,5,2,4]=>3 [6,1,3,5,4,2]=>2 [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]=>2 [6,1,4,5,2,3]=>3 [6,1,4,5,3,2]=>2 [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]=>2 [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]=>2 [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]=>2 [6,2,3,4,5,1]=>1 [6,2,3,5,1,4]=>2 [6,2,3,5,4,1]=>1 [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]=>1 [6,2,4,5,1,3]=>2 [6,2,4,5,3,1]=>1 [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]=>1 [6,2,5,4,1,3]=>2 [6,2,5,4,3,1]=>1 [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]=>2 [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]=>1 [6,3,2,5,1,4]=>2 [6,3,2,5,4,1]=>1 [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]=>1 [6,3,4,5,1,2]=>2 [6,3,4,5,2,1]=>1 [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]=>1 [6,3,5,4,1,2]=>2 [6,3,5,4,2,1]=>1 [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]=>2 [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]=>1 [6,4,2,5,1,3]=>2 [6,4,2,5,3,1]=>1 [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]=>1 [6,4,3,5,1,2]=>2 [6,4,3,5,2,1]=>1 [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]=>1 [6,4,5,3,1,2]=>2 [6,4,5,3,2,1]=>1 [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]=>2 [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]=>1 [6,5,2,4,1,3]=>2 [6,5,2,4,3,1]=>1 [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]=>1 [6,5,3,4,1,2]=>2 [6,5,3,4,2,1]=>1 [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]=>1 [6,5,4,3,1,2]=>2 [6,5,4,3,2,1]=>1
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Description
The number of right-to-left minima of a permutation.
For the number of left-to-right maxima, see St000314The number of left-to-right-maxima of a permutation..
Code
def rlmin(pi):            
    n = len(pi)                                         
    m = n+1
    for i in range(n):
        if pi[n-1-i] < m:      
            yield n-i  
            m = pi[n-1-i]

def statistic(pi):
    return sum(1 for _ in rlmin(pi))
Created
Oct 17, 2017 at 17:57 by Jang Soo Kim
Updated
Oct 20, 2017 at 09:48 by Christian Stump