edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,2]=>0 [2,1]=>1 [1,2,3]=>0 [1,3,2]=>1 [2,1,3]=>1 [2,3,1]=>1 [3,1,2]=>1 [3,2,1]=>1 [1,2,3,4]=>0 [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]=>1 [2,1,4,3]=>2 [2,3,1,4]=>1 [2,3,4,1]=>1 [2,4,1,3]=>1 [2,4,3,1]=>1 [3,1,2,4]=>1 [3,1,4,2]=>1 [3,2,1,4]=>1 [3,2,4,1]=>1 [3,4,1,2]=>2 [3,4,2,1]=>1 [4,1,2,3]=>1 [4,1,3,2]=>1 [4,2,1,3]=>1 [4,2,3,1]=>1 [4,3,1,2]=>1 [4,3,2,1]=>2 [1,2,3,4,5]=>0 [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]=>2 [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]=>2 [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]=>2 [2,1,3,4,5]=>1 [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]=>1 [2,3,1,5,4]=>2 [2,3,4,1,5]=>1 [2,3,4,5,1]=>1 [2,3,5,1,4]=>1 [2,3,5,4,1]=>1 [2,4,1,3,5]=>1 [2,4,1,5,3]=>1 [2,4,3,1,5]=>1 [2,4,3,5,1]=>1 [2,4,5,1,3]=>2 [2,4,5,3,1]=>1 [2,5,1,3,4]=>1 [2,5,1,4,3]=>1 [2,5,3,1,4]=>1 [2,5,3,4,1]=>1 [2,5,4,1,3]=>1 [2,5,4,3,1]=>2 [3,1,2,4,5]=>1 [3,1,2,5,4]=>2 [3,1,4,2,5]=>1 [3,1,4,5,2]=>1 [3,1,5,2,4]=>1 [3,1,5,4,2]=>1 [3,2,1,4,5]=>1 [3,2,1,5,4]=>2 [3,2,4,1,5]=>1 [3,2,4,5,1]=>1 [3,2,5,1,4]=>1 [3,2,5,4,1]=>1 [3,4,1,2,5]=>2 [3,4,1,5,2]=>2 [3,4,2,1,5]=>1 [3,4,2,5,1]=>1 [3,4,5,1,2]=>1 [3,4,5,2,1]=>2 [3,5,1,2,4]=>2 [3,5,1,4,2]=>2 [3,5,2,1,4]=>1 [3,5,2,4,1]=>1 [3,5,4,1,2]=>2 [3,5,4,2,1]=>1 [4,1,2,3,5]=>1 [4,1,2,5,3]=>1 [4,1,3,2,5]=>1 [4,1,3,5,2]=>1 [4,1,5,2,3]=>2 [4,1,5,3,2]=>1 [4,2,1,3,5]=>1 [4,2,1,5,3]=>1 [4,2,3,1,5]=>1 [4,2,3,5,1]=>1 [4,2,5,1,3]=>2 [4,2,5,3,1]=>1 [4,3,1,2,5]=>1 [4,3,1,5,2]=>1 [4,3,2,1,5]=>2 [4,3,2,5,1]=>2 [4,3,5,1,2]=>2 [4,3,5,2,1]=>1 [4,5,1,2,3]=>1 [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]=>1 [5,1,2,4,3]=>1 [5,1,3,2,4]=>1 [5,1,3,4,2]=>1 [5,1,4,2,3]=>1 [5,1,4,3,2]=>2 [5,2,1,3,4]=>1 [5,2,1,4,3]=>1 [5,2,3,1,4]=>1 [5,2,3,4,1]=>1 [5,2,4,1,3]=>1 [5,2,4,3,1]=>2 [5,3,1,2,4]=>1 [5,3,1,4,2]=>1 [5,3,2,1,4]=>2 [5,3,2,4,1]=>2 [5,3,4,1,2]=>1 [5,3,4,2,1]=>2 [5,4,1,2,3]=>2 [5,4,1,3,2]=>1 [5,4,2,1,3]=>1 [5,4,2,3,1]=>2 [5,4,3,1,2]=>1 [5,4,3,2,1]=>2 [1,2,3,4,5,6]=>0 [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]=>2 [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]=>2 [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]=>2 [1,3,2,4,5,6]=>1 [1,3,2,4,6,5]=>2 [1,3,2,5,4,6]=>2 [1,3,2,5,6,4]=>2 [1,3,2,6,4,5]=>2 [1,3,2,6,5,4]=>2 [1,3,4,2,5,6]=>1 [1,3,4,2,6,5]=>2 [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]=>2 [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]=>2 [1,4,2,3,5,6]=>1 [1,4,2,3,6,5]=>2 [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]=>2 [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]=>2 [1,4,5,2,6,3]=>2 [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]=>2 [1,4,6,2,3,5]=>2 [1,4,6,2,5,3]=>2 [1,4,6,3,2,5]=>1 [1,4,6,3,5,2]=>1 [1,4,6,5,2,3]=>2 [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]=>2 [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]=>2 [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]=>2 [1,5,4,3,6,2]=>2 [1,5,4,6,2,3]=>2 [1,5,4,6,3,2]=>1 [1,5,6,2,3,4]=>1 [1,5,6,2,4,3]=>2 [1,5,6,3,2,4]=>2 [1,5,6,3,4,2]=>1 [1,5,6,4,2,3]=>2 [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]=>2 [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]=>2 [1,6,4,2,3,5]=>1 [1,6,4,2,5,3]=>1 [1,6,4,3,2,5]=>2 [1,6,4,3,5,2]=>2 [1,6,4,5,2,3]=>1 [1,6,4,5,3,2]=>2 [1,6,5,2,3,4]=>2 [1,6,5,2,4,3]=>1 [1,6,5,3,2,4]=>1 [1,6,5,3,4,2]=>2 [1,6,5,4,2,3]=>1 [1,6,5,4,3,2]=>2 [2,1,3,4,5,6]=>1 [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]=>3 [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]=>3 [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]=>3 [2,3,1,4,5,6]=>1 [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]=>1 [2,3,4,1,6,5]=>2 [2,3,4,5,1,6]=>1 [2,3,4,5,6,1]=>1 [2,3,4,6,1,5]=>1 [2,3,4,6,5,1]=>1 [2,3,5,1,4,6]=>1 [2,3,5,1,6,4]=>1 [2,3,5,4,1,6]=>1 [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]=>1 [2,3,6,1,5,4]=>1 [2,3,6,4,1,5]=>1 [2,3,6,4,5,1]=>1 [2,3,6,5,1,4]=>1 [2,3,6,5,4,1]=>2 [2,4,1,3,5,6]=>1 [2,4,1,3,6,5]=>2 [2,4,1,5,3,6]=>1 [2,4,1,5,6,3]=>1 [2,4,1,6,3,5]=>1 [2,4,1,6,5,3]=>1 [2,4,3,1,5,6]=>1 [2,4,3,1,6,5]=>2 [2,4,3,5,1,6]=>1 [2,4,3,5,6,1]=>1 [2,4,3,6,1,5]=>1 [2,4,3,6,5,1]=>1 [2,4,5,1,3,6]=>2 [2,4,5,1,6,3]=>2 [2,4,5,3,1,6]=>1 [2,4,5,3,6,1]=>1 [2,4,5,6,1,3]=>1 [2,4,5,6,3,1]=>2 [2,4,6,1,3,5]=>2 [2,4,6,1,5,3]=>2 [2,4,6,3,1,5]=>1 [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]=>1 [2,5,1,3,6,4]=>1 [2,5,1,4,3,6]=>1 [2,5,1,4,6,3]=>1 [2,5,1,6,3,4]=>2 [2,5,1,6,4,3]=>1 [2,5,3,1,4,6]=>1 [2,5,3,1,6,4]=>1 [2,5,3,4,1,6]=>1 [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]=>1 [2,5,4,1,6,3]=>1 [2,5,4,3,1,6]=>2 [2,5,4,3,6,1]=>2 [2,5,4,6,1,3]=>2 [2,5,4,6,3,1]=>1 [2,5,6,1,3,4]=>1 [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]=>1 [2,6,1,3,5,4]=>1 [2,6,1,4,3,5]=>1 [2,6,1,4,5,3]=>1 [2,6,1,5,3,4]=>1 [2,6,1,5,4,3]=>2 [2,6,3,1,4,5]=>1 [2,6,3,1,5,4]=>1 [2,6,3,4,1,5]=>1 [2,6,3,4,5,1]=>1 [2,6,3,5,1,4]=>1 [2,6,3,5,4,1]=>2 [2,6,4,1,3,5]=>1 [2,6,4,1,5,3]=>1 [2,6,4,3,1,5]=>2 [2,6,4,3,5,1]=>2 [2,6,4,5,1,3]=>1 [2,6,4,5,3,1]=>2 [2,6,5,1,3,4]=>2 [2,6,5,1,4,3]=>1 [2,6,5,3,1,4]=>1 [2,6,5,3,4,1]=>2 [2,6,5,4,1,3]=>1 [2,6,5,4,3,1]=>2 [3,1,2,4,5,6]=>1 [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]=>1 [3,1,4,2,6,5]=>2 [3,1,4,5,2,6]=>1 [3,1,4,5,6,2]=>1 [3,1,4,6,2,5]=>1 [3,1,4,6,5,2]=>1 [3,1,5,2,4,6]=>1 [3,1,5,2,6,4]=>1 [3,1,5,4,2,6]=>1 [3,1,5,4,6,2]=>1 [3,1,5,6,2,4]=>2 [3,1,5,6,4,2]=>1 [3,1,6,2,4,5]=>1 [3,1,6,2,5,4]=>1 [3,1,6,4,2,5]=>1 [3,1,6,4,5,2]=>1 [3,1,6,5,2,4]=>1 [3,1,6,5,4,2]=>2 [3,2,1,4,5,6]=>1 [3,2,1,4,6,5]=>2 [3,2,1,5,4,6]=>2 [3,2,1,5,6,4]=>2 [3,2,1,6,4,5]=>2 [3,2,1,6,5,4]=>2 [3,2,4,1,5,6]=>1 [3,2,4,1,6,5]=>2 [3,2,4,5,1,6]=>1 [3,2,4,5,6,1]=>1 [3,2,4,6,1,5]=>1 [3,2,4,6,5,1]=>1 [3,2,5,1,4,6]=>1 [3,2,5,1,6,4]=>1 [3,2,5,4,1,6]=>1 [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]=>1 [3,2,6,1,5,4]=>1 [3,2,6,4,1,5]=>1 [3,2,6,4,5,1]=>1 [3,2,6,5,1,4]=>1 [3,2,6,5,4,1]=>2 [3,4,1,2,5,6]=>2 [3,4,1,2,6,5]=>3 [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]=>1 [3,4,2,1,6,5]=>2 [3,4,2,5,1,6]=>1 [3,4,2,5,6,1]=>1 [3,4,2,6,1,5]=>1 [3,4,2,6,5,1]=>1 [3,4,5,1,2,6]=>1 [3,4,5,1,6,2]=>1 [3,4,5,2,1,6]=>2 [3,4,5,2,6,1]=>2 [3,4,5,6,1,2]=>2 [3,4,5,6,2,1]=>1 [3,4,6,1,2,5]=>1 [3,4,6,1,5,2]=>1 [3,4,6,2,1,5]=>2 [3,4,6,2,5,1]=>2 [3,4,6,5,1,2]=>1 [3,4,6,5,2,1]=>2 [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]=>3 [3,5,1,6,4,2]=>2 [3,5,2,1,4,6]=>1 [3,5,2,1,6,4]=>1 [3,5,2,4,1,6]=>1 [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]=>2 [3,5,4,1,6,2]=>2 [3,5,4,2,1,6]=>1 [3,5,4,2,6,1]=>1 [3,5,4,6,1,2]=>1 [3,5,4,6,2,1]=>2 [3,5,6,1,2,4]=>2 [3,5,6,1,4,2]=>1 [3,5,6,2,1,4]=>1 [3,5,6,2,4,1]=>2 [3,5,6,4,1,2]=>1 [3,5,6,4,2,1]=>2 [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]=>3 [3,6,2,1,4,5]=>1 [3,6,2,1,5,4]=>1 [3,6,2,4,1,5]=>1 [3,6,2,4,5,1]=>1 [3,6,2,5,1,4]=>1 [3,6,2,5,4,1]=>2 [3,6,4,1,2,5]=>2 [3,6,4,1,5,2]=>2 [3,6,4,2,1,5]=>1 [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]=>1 [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]=>1 [4,1,2,3,6,5]=>2 [4,1,2,5,3,6]=>1 [4,1,2,5,6,3]=>1 [4,1,2,6,3,5]=>1 [4,1,2,6,5,3]=>1 [4,1,3,2,5,6]=>1 [4,1,3,2,6,5]=>2 [4,1,3,5,2,6]=>1 [4,1,3,5,6,2]=>1 [4,1,3,6,2,5]=>1 [4,1,3,6,5,2]=>1 [4,1,5,2,3,6]=>2 [4,1,5,2,6,3]=>2 [4,1,5,3,2,6]=>1 [4,1,5,3,6,2]=>1 [4,1,5,6,2,3]=>1 [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]=>1 [4,1,6,3,5,2]=>1 [4,1,6,5,2,3]=>2 [4,1,6,5,3,2]=>1 [4,2,1,3,5,6]=>1 [4,2,1,3,6,5]=>2 [4,2,1,5,3,6]=>1 [4,2,1,5,6,3]=>1 [4,2,1,6,3,5]=>1 [4,2,1,6,5,3]=>1 [4,2,3,1,5,6]=>1 [4,2,3,1,6,5]=>2 [4,2,3,5,1,6]=>1 [4,2,3,5,6,1]=>1 [4,2,3,6,1,5]=>1 [4,2,3,6,5,1]=>1 [4,2,5,1,3,6]=>2 [4,2,5,1,6,3]=>2 [4,2,5,3,1,6]=>1 [4,2,5,3,6,1]=>1 [4,2,5,6,1,3]=>1 [4,2,5,6,3,1]=>2 [4,2,6,1,3,5]=>2 [4,2,6,1,5,3]=>2 [4,2,6,3,1,5]=>1 [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]=>1 [4,3,1,2,6,5]=>2 [4,3,1,5,2,6]=>1 [4,3,1,5,6,2]=>1 [4,3,1,6,2,5]=>1 [4,3,1,6,5,2]=>1 [4,3,2,1,5,6]=>2 [4,3,2,1,6,5]=>3 [4,3,2,5,1,6]=>2 [4,3,2,5,6,1]=>2 [4,3,2,6,1,5]=>2 [4,3,2,6,5,1]=>2 [4,3,5,1,2,6]=>2 [4,3,5,1,6,2]=>2 [4,3,5,2,1,6]=>1 [4,3,5,2,6,1]=>1 [4,3,5,6,1,2]=>1 [4,3,5,6,2,1]=>2 [4,3,6,1,2,5]=>2 [4,3,6,1,5,2]=>2 [4,3,6,2,1,5]=>1 [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]=>1 [4,5,1,2,6,3]=>1 [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]=>1 [4,5,2,1,3,6]=>2 [4,5,2,1,6,3]=>2 [4,5,2,3,1,6]=>1 [4,5,2,3,6,1]=>1 [4,5,2,6,1,3]=>1 [4,5,2,6,3,1]=>2 [4,5,3,1,2,6]=>2 [4,5,3,1,6,2]=>2 [4,5,3,2,1,6]=>1 [4,5,3,2,6,1]=>1 [4,5,3,6,1,2]=>1 [4,5,3,6,2,1]=>2 [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]=>1 [4,5,6,3,2,1]=>2 [4,6,1,2,3,5]=>1 [4,6,1,2,5,3]=>1 [4,6,1,3,2,5]=>2 [4,6,1,3,5,2]=>2 [4,6,1,5,2,3]=>1 [4,6,1,5,3,2]=>2 [4,6,2,1,3,5]=>2 [4,6,2,1,5,3]=>2 [4,6,2,3,1,5]=>1 [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]=>2 [4,6,3,1,5,2]=>2 [4,6,3,2,1,5]=>1 [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]=>2 [4,6,5,1,3,2]=>3 [4,6,5,2,1,3]=>1 [4,6,5,2,3,1]=>2 [4,6,5,3,1,2]=>2 [4,6,5,3,2,1]=>1 [5,1,2,3,4,6]=>1 [5,1,2,3,6,4]=>1 [5,1,2,4,3,6]=>1 [5,1,2,4,6,3]=>1 [5,1,2,6,3,4]=>2 [5,1,2,6,4,3]=>1 [5,1,3,2,4,6]=>1 [5,1,3,2,6,4]=>1 [5,1,3,4,2,6]=>1 [5,1,3,4,6,2]=>1 [5,1,3,6,2,4]=>2 [5,1,3,6,4,2]=>1 [5,1,4,2,3,6]=>1 [5,1,4,2,6,3]=>1 [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]=>1 [5,1,6,2,3,4]=>1 [5,1,6,2,4,3]=>2 [5,1,6,3,2,4]=>2 [5,1,6,3,4,2]=>1 [5,1,6,4,2,3]=>2 [5,1,6,4,3,2]=>1 [5,2,1,3,4,6]=>1 [5,2,1,3,6,4]=>1 [5,2,1,4,3,6]=>1 [5,2,1,4,6,3]=>1 [5,2,1,6,3,4]=>2 [5,2,1,6,4,3]=>1 [5,2,3,1,4,6]=>1 [5,2,3,1,6,4]=>1 [5,2,3,4,1,6]=>1 [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]=>1 [5,2,4,1,6,3]=>1 [5,2,4,3,1,6]=>2 [5,2,4,3,6,1]=>2 [5,2,4,6,1,3]=>2 [5,2,4,6,3,1]=>1 [5,2,6,1,3,4]=>1 [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]=>1 [5,3,1,2,6,4]=>1 [5,3,1,4,2,6]=>1 [5,3,1,4,6,2]=>1 [5,3,1,6,2,4]=>2 [5,3,1,6,4,2]=>1 [5,3,2,1,4,6]=>2 [5,3,2,1,6,4]=>2 [5,3,2,4,1,6]=>2 [5,3,2,4,6,1]=>2 [5,3,2,6,1,4]=>3 [5,3,2,6,4,1]=>2 [5,3,4,1,2,6]=>1 [5,3,4,1,6,2]=>1 [5,3,4,2,1,6]=>2 [5,3,4,2,6,1]=>2 [5,3,4,6,1,2]=>2 [5,3,4,6,2,1]=>1 [5,3,6,1,2,4]=>1 [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]=>2 [5,4,1,2,6,3]=>2 [5,4,1,3,2,6]=>1 [5,4,1,3,6,2]=>1 [5,4,1,6,2,3]=>1 [5,4,1,6,3,2]=>2 [5,4,2,1,3,6]=>1 [5,4,2,1,6,3]=>1 [5,4,2,3,1,6]=>2 [5,4,2,3,6,1]=>2 [5,4,2,6,1,3]=>2 [5,4,2,6,3,1]=>1 [5,4,3,1,2,6]=>1 [5,4,3,1,6,2]=>1 [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]=>1 [5,4,6,1,2,3]=>2 [5,4,6,1,3,2]=>1 [5,4,6,2,1,3]=>3 [5,4,6,2,3,1]=>2 [5,4,6,3,1,2]=>2 [5,4,6,3,2,1]=>1 [5,6,1,2,3,4]=>2 [5,6,1,2,4,3]=>1 [5,6,1,3,2,4]=>1 [5,6,1,3,4,2]=>2 [5,6,1,4,2,3]=>1 [5,6,1,4,3,2]=>2 [5,6,2,1,3,4]=>1 [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]=>1 [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]=>1 [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]=>3 [5,6,4,3,2,1]=>2 [6,1,2,3,4,5]=>1 [6,1,2,3,5,4]=>1 [6,1,2,4,3,5]=>1 [6,1,2,4,5,3]=>1 [6,1,2,5,3,4]=>1 [6,1,2,5,4,3]=>2 [6,1,3,2,4,5]=>1 [6,1,3,2,5,4]=>1 [6,1,3,4,2,5]=>1 [6,1,3,4,5,2]=>1 [6,1,3,5,2,4]=>1 [6,1,3,5,4,2]=>2 [6,1,4,2,3,5]=>1 [6,1,4,2,5,3]=>1 [6,1,4,3,2,5]=>2 [6,1,4,3,5,2]=>2 [6,1,4,5,2,3]=>1 [6,1,4,5,3,2]=>2 [6,1,5,2,3,4]=>2 [6,1,5,2,4,3]=>1 [6,1,5,3,2,4]=>1 [6,1,5,3,4,2]=>2 [6,1,5,4,2,3]=>1 [6,1,5,4,3,2]=>2 [6,2,1,3,4,5]=>1 [6,2,1,3,5,4]=>1 [6,2,1,4,3,5]=>1 [6,2,1,4,5,3]=>1 [6,2,1,5,3,4]=>1 [6,2,1,5,4,3]=>2 [6,2,3,1,4,5]=>1 [6,2,3,1,5,4]=>1 [6,2,3,4,1,5]=>1 [6,2,3,4,5,1]=>1 [6,2,3,5,1,4]=>1 [6,2,3,5,4,1]=>2 [6,2,4,1,3,5]=>1 [6,2,4,1,5,3]=>1 [6,2,4,3,1,5]=>2 [6,2,4,3,5,1]=>2 [6,2,4,5,1,3]=>1 [6,2,4,5,3,1]=>2 [6,2,5,1,3,4]=>2 [6,2,5,1,4,3]=>1 [6,2,5,3,1,4]=>1 [6,2,5,3,4,1]=>2 [6,2,5,4,1,3]=>1 [6,2,5,4,3,1]=>2 [6,3,1,2,4,5]=>1 [6,3,1,2,5,4]=>1 [6,3,1,4,2,5]=>1 [6,3,1,4,5,2]=>1 [6,3,1,5,2,4]=>1 [6,3,1,5,4,2]=>2 [6,3,2,1,4,5]=>2 [6,3,2,1,5,4]=>2 [6,3,2,4,1,5]=>2 [6,3,2,4,5,1]=>2 [6,3,2,5,1,4]=>2 [6,3,2,5,4,1]=>3 [6,3,4,1,2,5]=>1 [6,3,4,1,5,2]=>1 [6,3,4,2,1,5]=>2 [6,3,4,2,5,1]=>2 [6,3,4,5,1,2]=>1 [6,3,4,5,2,1]=>2 [6,3,5,1,2,4]=>2 [6,3,5,1,4,2]=>1 [6,3,5,2,1,4]=>1 [6,3,5,2,4,1]=>2 [6,3,5,4,1,2]=>1 [6,3,5,4,2,1]=>2 [6,4,1,2,3,5]=>2 [6,4,1,2,5,3]=>2 [6,4,1,3,2,5]=>1 [6,4,1,3,5,2]=>1 [6,4,1,5,2,3]=>2 [6,4,1,5,3,2]=>1 [6,4,2,1,3,5]=>1 [6,4,2,1,5,3]=>1 [6,4,2,3,1,5]=>2 [6,4,2,3,5,1]=>2 [6,4,2,5,1,3]=>1 [6,4,2,5,3,1]=>2 [6,4,3,1,2,5]=>1 [6,4,3,1,5,2]=>1 [6,4,3,2,1,5]=>2 [6,4,3,2,5,1]=>2 [6,4,3,5,1,2]=>1 [6,4,3,5,2,1]=>2 [6,4,5,1,2,3]=>1 [6,4,5,1,3,2]=>2 [6,4,5,2,1,3]=>2 [6,4,5,2,3,1]=>3 [6,4,5,3,1,2]=>1 [6,4,5,3,2,1]=>2 [6,5,1,2,3,4]=>1 [6,5,1,2,4,3]=>2 [6,5,1,3,2,4]=>2 [6,5,1,3,4,2]=>1 [6,5,1,4,2,3]=>2 [6,5,1,4,3,2]=>1 [6,5,2,1,3,4]=>2 [6,5,2,1,4,3]=>1 [6,5,2,3,1,4]=>1 [6,5,2,3,4,1]=>2 [6,5,2,4,1,3]=>1 [6,5,2,4,3,1]=>2 [6,5,3,1,2,4]=>2 [6,5,3,1,4,2]=>1 [6,5,3,2,1,4]=>1 [6,5,3,2,4,1]=>2 [6,5,3,4,1,2]=>1 [6,5,3,4,2,1]=>2 [6,5,4,1,2,3]=>2 [6,5,4,1,3,2]=>1 [6,5,4,2,1,3]=>1 [6,5,4,2,3,1]=>2 [6,5,4,3,1,2]=>2 [6,5,4,3,2,1]=>3
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of nontrivial cycles in the cycle decomposition of a permutation.
This statistic is equal to the difference of the number of cycles of $\pi$ (see St000031The number of cycles in the cycle decomposition of a permutation.) and the number of fixed points of $\pi$ (see St000022The number of fixed points of a permutation.).
References
[1] Triangle read by rows: T(n,k) is the number of permutations of an n-set having k cycles of size > 1 (0<=k<=floor(n/2)). OEIS:A136394
Code
def statistic(pi):
    return sum( 1 for i in pi.cycle_type() if i > 1 )
Created
Sep 21, 2013 at 17:17 by Christian Stump
Updated
Dec 30, 2019 at 11:38 by Martin Rubey