edit this statistic or download as text // json
Identifier
Values
=>
[1,2]=>0 [2,1]=>0 [1,2,3]=>0 [1,3,2]=>0 [2,1,3]=>0 [2,3,1]=>0 [3,1,2]=>0 [3,2,1]=>0 [1,2,3,4]=>0 [1,2,4,3]=>1 [1,3,2,4]=>0 [1,3,4,2]=>1 [1,4,2,3]=>0 [1,4,3,2]=>1 [2,1,3,4]=>0 [2,1,4,3]=>1 [2,3,1,4]=>0 [2,3,4,1]=>1 [2,4,1,3]=>0 [2,4,3,1]=>1 [3,1,2,4]=>0 [3,1,4,2]=>1 [3,2,1,4]=>0 [3,2,4,1]=>1 [3,4,1,2]=>0 [3,4,2,1]=>1 [4,1,2,3]=>0 [4,1,3,2]=>1 [4,2,1,3]=>0 [4,2,3,1]=>1 [4,3,1,2]=>0 [4,3,2,1]=>1 [1,2,3,4,5]=>0 [1,2,3,5,4]=>0 [1,2,4,3,5]=>1 [1,2,4,5,3]=>1 [1,2,5,3,4]=>2 [1,2,5,4,3]=>2 [1,3,2,4,5]=>0 [1,3,2,5,4]=>0 [1,3,4,2,5]=>1 [1,3,4,5,2]=>1 [1,3,5,2,4]=>2 [1,3,5,4,2]=>2 [1,4,2,3,5]=>0 [1,4,2,5,3]=>0 [1,4,3,2,5]=>1 [1,4,3,5,2]=>1 [1,4,5,2,3]=>2 [1,4,5,3,2]=>2 [1,5,2,3,4]=>0 [1,5,2,4,3]=>0 [1,5,3,2,4]=>1 [1,5,3,4,2]=>1 [1,5,4,2,3]=>2 [1,5,4,3,2]=>2 [2,1,3,4,5]=>0 [2,1,3,5,4]=>0 [2,1,4,3,5]=>1 [2,1,4,5,3]=>1 [2,1,5,3,4]=>2 [2,1,5,4,3]=>2 [2,3,1,4,5]=>0 [2,3,1,5,4]=>0 [2,3,4,1,5]=>1 [2,3,4,5,1]=>1 [2,3,5,1,4]=>2 [2,3,5,4,1]=>2 [2,4,1,3,5]=>0 [2,4,1,5,3]=>0 [2,4,3,1,5]=>1 [2,4,3,5,1]=>1 [2,4,5,1,3]=>2 [2,4,5,3,1]=>2 [2,5,1,3,4]=>0 [2,5,1,4,3]=>0 [2,5,3,1,4]=>1 [2,5,3,4,1]=>1 [2,5,4,1,3]=>2 [2,5,4,3,1]=>2 [3,1,2,4,5]=>0 [3,1,2,5,4]=>0 [3,1,4,2,5]=>1 [3,1,4,5,2]=>1 [3,1,5,2,4]=>2 [3,1,5,4,2]=>2 [3,2,1,4,5]=>0 [3,2,1,5,4]=>0 [3,2,4,1,5]=>1 [3,2,4,5,1]=>1 [3,2,5,1,4]=>2 [3,2,5,4,1]=>2 [3,4,1,2,5]=>0 [3,4,1,5,2]=>0 [3,4,2,1,5]=>1 [3,4,2,5,1]=>1 [3,4,5,1,2]=>2 [3,4,5,2,1]=>2 [3,5,1,2,4]=>0 [3,5,1,4,2]=>0 [3,5,2,1,4]=>1 [3,5,2,4,1]=>1 [3,5,4,1,2]=>2 [3,5,4,2,1]=>2 [4,1,2,3,5]=>0 [4,1,2,5,3]=>0 [4,1,3,2,5]=>1 [4,1,3,5,2]=>1 [4,1,5,2,3]=>2 [4,1,5,3,2]=>2 [4,2,1,3,5]=>0 [4,2,1,5,3]=>0 [4,2,3,1,5]=>1 [4,2,3,5,1]=>1 [4,2,5,1,3]=>2 [4,2,5,3,1]=>2 [4,3,1,2,5]=>0 [4,3,1,5,2]=>0 [4,3,2,1,5]=>1 [4,3,2,5,1]=>1 [4,3,5,1,2]=>2 [4,3,5,2,1]=>2 [4,5,1,2,3]=>0 [4,5,1,3,2]=>0 [4,5,2,1,3]=>1 [4,5,2,3,1]=>1 [4,5,3,1,2]=>2 [4,5,3,2,1]=>2 [5,1,2,3,4]=>0 [5,1,2,4,3]=>0 [5,1,3,2,4]=>1 [5,1,3,4,2]=>1 [5,1,4,2,3]=>2 [5,1,4,3,2]=>2 [5,2,1,3,4]=>0 [5,2,1,4,3]=>0 [5,2,3,1,4]=>1 [5,2,3,4,1]=>1 [5,2,4,1,3]=>2 [5,2,4,3,1]=>2 [5,3,1,2,4]=>0 [5,3,1,4,2]=>0 [5,3,2,1,4]=>1 [5,3,2,4,1]=>1 [5,3,4,1,2]=>2 [5,3,4,2,1]=>2 [5,4,1,2,3]=>0 [5,4,1,3,2]=>0 [5,4,2,1,3]=>1 [5,4,2,3,1]=>1 [5,4,3,1,2]=>2 [5,4,3,2,1]=>2 [1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>0 [1,2,3,5,4,6]=>0 [1,2,3,5,6,4]=>0 [1,2,3,6,4,5]=>0 [1,2,3,6,5,4]=>0 [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]=>2 [1,2,5,3,6,4]=>2 [1,2,5,4,3,6]=>2 [1,2,5,4,6,3]=>2 [1,2,5,6,3,4]=>2 [1,2,5,6,4,3]=>2 [1,2,6,3,4,5]=>3 [1,2,6,3,5,4]=>3 [1,2,6,4,3,5]=>3 [1,2,6,4,5,3]=>3 [1,2,6,5,3,4]=>3 [1,2,6,5,4,3]=>3 [1,3,2,4,5,6]=>0 [1,3,2,4,6,5]=>0 [1,3,2,5,4,6]=>0 [1,3,2,5,6,4]=>0 [1,3,2,6,4,5]=>0 [1,3,2,6,5,4]=>0 [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]=>2 [1,3,5,2,6,4]=>2 [1,3,5,4,2,6]=>2 [1,3,5,4,6,2]=>2 [1,3,5,6,2,4]=>2 [1,3,5,6,4,2]=>2 [1,3,6,2,4,5]=>3 [1,3,6,2,5,4]=>3 [1,3,6,4,2,5]=>3 [1,3,6,4,5,2]=>3 [1,3,6,5,2,4]=>3 [1,3,6,5,4,2]=>3 [1,4,2,3,5,6]=>0 [1,4,2,3,6,5]=>0 [1,4,2,5,3,6]=>0 [1,4,2,5,6,3]=>0 [1,4,2,6,3,5]=>0 [1,4,2,6,5,3]=>0 [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]=>2 [1,4,5,2,6,3]=>2 [1,4,5,3,2,6]=>2 [1,4,5,3,6,2]=>2 [1,4,5,6,2,3]=>2 [1,4,5,6,3,2]=>2 [1,4,6,2,3,5]=>3 [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]=>0 [1,5,2,3,6,4]=>0 [1,5,2,4,3,6]=>0 [1,5,2,4,6,3]=>0 [1,5,2,6,3,4]=>0 [1,5,2,6,4,3]=>0 [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]=>2 [1,5,4,2,6,3]=>2 [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]=>2 [1,5,6,2,3,4]=>3 [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]=>0 [1,6,2,3,5,4]=>0 [1,6,2,4,3,5]=>0 [1,6,2,4,5,3]=>0 [1,6,2,5,3,4]=>0 [1,6,2,5,4,3]=>0 [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]=>2 [1,6,4,2,5,3]=>2 [1,6,4,3,2,5]=>2 [1,6,4,3,5,2]=>2 [1,6,4,5,2,3]=>2 [1,6,4,5,3,2]=>2 [1,6,5,2,3,4]=>3 [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]=>3 [2,1,3,4,5,6]=>0 [2,1,3,4,6,5]=>0 [2,1,3,5,4,6]=>0 [2,1,3,5,6,4]=>0 [2,1,3,6,4,5]=>0 [2,1,3,6,5,4]=>0 [2,1,4,3,5,6]=>1 [2,1,4,3,6,5]=>1 [2,1,4,5,3,6]=>1 [2,1,4,5,6,3]=>1 [2,1,4,6,3,5]=>1 [2,1,4,6,5,3]=>1 [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]=>3 [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]=>3 [2,3,1,4,5,6]=>0 [2,3,1,4,6,5]=>0 [2,3,1,5,4,6]=>0 [2,3,1,5,6,4]=>0 [2,3,1,6,4,5]=>0 [2,3,1,6,5,4]=>0 [2,3,4,1,5,6]=>1 [2,3,4,1,6,5]=>1 [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]=>2 [2,3,5,1,6,4]=>2 [2,3,5,4,1,6]=>2 [2,3,5,4,6,1]=>2 [2,3,5,6,1,4]=>2 [2,3,5,6,4,1]=>2 [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]=>3 [2,3,6,5,1,4]=>3 [2,3,6,5,4,1]=>3 [2,4,1,3,5,6]=>0 [2,4,1,3,6,5]=>0 [2,4,1,5,3,6]=>0 [2,4,1,5,6,3]=>0 [2,4,1,6,3,5]=>0 [2,4,1,6,5,3]=>0 [2,4,3,1,5,6]=>1 [2,4,3,1,6,5]=>1 [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]=>2 [2,4,5,3,6,1]=>2 [2,4,5,6,1,3]=>2 [2,4,5,6,3,1]=>2 [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]=>0 [2,5,1,3,6,4]=>0 [2,5,1,4,3,6]=>0 [2,5,1,4,6,3]=>0 [2,5,1,6,3,4]=>0 [2,5,1,6,4,3]=>0 [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]=>1 [2,5,3,6,4,1]=>1 [2,5,4,1,3,6]=>2 [2,5,4,1,6,3]=>2 [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]=>2 [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]=>0 [2,6,1,3,5,4]=>0 [2,6,1,4,3,5]=>0 [2,6,1,4,5,3]=>0 [2,6,1,5,3,4]=>0 [2,6,1,5,4,3]=>0 [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]=>1 [2,6,4,1,3,5]=>2 [2,6,4,1,5,3]=>2 [2,6,4,3,1,5]=>2 [2,6,4,3,5,1]=>2 [2,6,4,5,1,3]=>2 [2,6,4,5,3,1]=>2 [2,6,5,1,3,4]=>3 [2,6,5,1,4,3]=>3 [2,6,5,3,1,4]=>3 [2,6,5,3,4,1]=>3 [2,6,5,4,1,3]=>3 [2,6,5,4,3,1]=>3 [3,1,2,4,5,6]=>0 [3,1,2,4,6,5]=>0 [3,1,2,5,4,6]=>0 [3,1,2,5,6,4]=>0 [3,1,2,6,4,5]=>0 [3,1,2,6,5,4]=>0 [3,1,4,2,5,6]=>1 [3,1,4,2,6,5]=>1 [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]=>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]=>3 [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]=>3 [3,2,1,4,5,6]=>0 [3,2,1,4,6,5]=>0 [3,2,1,5,4,6]=>0 [3,2,1,5,6,4]=>0 [3,2,1,6,4,5]=>0 [3,2,1,6,5,4]=>0 [3,2,4,1,5,6]=>1 [3,2,4,1,6,5]=>1 [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]=>2 [3,2,5,1,6,4]=>2 [3,2,5,4,1,6]=>2 [3,2,5,4,6,1]=>2 [3,2,5,6,1,4]=>2 [3,2,5,6,4,1]=>2 [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]=>3 [3,4,1,2,5,6]=>0 [3,4,1,2,6,5]=>0 [3,4,1,5,2,6]=>0 [3,4,1,5,6,2]=>0 [3,4,1,6,2,5]=>0 [3,4,1,6,5,2]=>0 [3,4,2,1,5,6]=>1 [3,4,2,1,6,5]=>1 [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]=>2 [3,4,5,1,6,2]=>2 [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]=>2 [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]=>0 [3,5,1,2,6,4]=>0 [3,5,1,4,2,6]=>0 [3,5,1,4,6,2]=>0 [3,5,1,6,2,4]=>0 [3,5,1,6,4,2]=>0 [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]=>1 [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]=>2 [3,5,4,2,6,1]=>2 [3,5,4,6,1,2]=>2 [3,5,4,6,2,1]=>2 [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]=>0 [3,6,1,2,5,4]=>0 [3,6,1,4,2,5]=>0 [3,6,1,4,5,2]=>0 [3,6,1,5,2,4]=>0 [3,6,1,5,4,2]=>0 [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]=>1 [3,6,4,1,2,5]=>2 [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]=>2 [3,6,4,5,2,1]=>2 [3,6,5,1,2,4]=>3 [3,6,5,1,4,2]=>3 [3,6,5,2,1,4]=>3 [3,6,5,2,4,1]=>3 [3,6,5,4,1,2]=>3 [3,6,5,4,2,1]=>3 [4,1,2,3,5,6]=>0 [4,1,2,3,6,5]=>0 [4,1,2,5,3,6]=>0 [4,1,2,5,6,3]=>0 [4,1,2,6,3,5]=>0 [4,1,2,6,5,3]=>0 [4,1,3,2,5,6]=>1 [4,1,3,2,6,5]=>1 [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]=>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]=>3 [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]=>3 [4,2,1,3,5,6]=>0 [4,2,1,3,6,5]=>0 [4,2,1,5,3,6]=>0 [4,2,1,5,6,3]=>0 [4,2,1,6,3,5]=>0 [4,2,1,6,5,3]=>0 [4,2,3,1,5,6]=>1 [4,2,3,1,6,5]=>1 [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]=>2 [4,2,5,3,6,1]=>2 [4,2,5,6,1,3]=>2 [4,2,5,6,3,1]=>2 [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]=>3 [4,3,1,2,5,6]=>0 [4,3,1,2,6,5]=>0 [4,3,1,5,2,6]=>0 [4,3,1,5,6,2]=>0 [4,3,1,6,2,5]=>0 [4,3,1,6,5,2]=>0 [4,3,2,1,5,6]=>1 [4,3,2,1,6,5]=>1 [4,3,2,5,1,6]=>1 [4,3,2,5,6,1]=>1 [4,3,2,6,1,5]=>1 [4,3,2,6,5,1]=>1 [4,3,5,1,2,6]=>2 [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]=>2 [4,3,5,6,2,1]=>2 [4,3,6,1,2,5]=>3 [4,3,6,1,5,2]=>3 [4,3,6,2,1,5]=>3 [4,3,6,2,5,1]=>3 [4,3,6,5,1,2]=>3 [4,3,6,5,2,1]=>3 [4,5,1,2,3,6]=>0 [4,5,1,2,6,3]=>0 [4,5,1,3,2,6]=>0 [4,5,1,3,6,2]=>0 [4,5,1,6,2,3]=>0 [4,5,1,6,3,2]=>0 [4,5,2,1,3,6]=>1 [4,5,2,1,6,3]=>1 [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]=>1 [4,5,3,1,2,6]=>2 [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]=>0 [4,6,1,2,5,3]=>0 [4,6,1,3,2,5]=>0 [4,6,1,3,5,2]=>0 [4,6,1,5,2,3]=>0 [4,6,1,5,3,2]=>0 [4,6,2,1,3,5]=>1 [4,6,2,1,5,3]=>1 [4,6,2,3,1,5]=>1 [4,6,2,3,5,1]=>1 [4,6,2,5,1,3]=>1 [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]=>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]=>3 [4,6,5,2,1,3]=>3 [4,6,5,2,3,1]=>3 [4,6,5,3,1,2]=>3 [4,6,5,3,2,1]=>3 [5,1,2,3,4,6]=>0 [5,1,2,3,6,4]=>0 [5,1,2,4,3,6]=>0 [5,1,2,4,6,3]=>0 [5,1,2,6,3,4]=>0 [5,1,2,6,4,3]=>0 [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]=>1 [5,1,3,6,4,2]=>1 [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]=>3 [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]=>3 [5,2,1,3,4,6]=>0 [5,2,1,3,6,4]=>0 [5,2,1,4,3,6]=>0 [5,2,1,4,6,3]=>0 [5,2,1,6,3,4]=>0 [5,2,1,6,4,3]=>0 [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]=>1 [5,2,3,6,4,1]=>1 [5,2,4,1,3,6]=>2 [5,2,4,1,6,3]=>2 [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]=>2 [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]=>3 [5,3,1,2,4,6]=>0 [5,3,1,2,6,4]=>0 [5,3,1,4,2,6]=>0 [5,3,1,4,6,2]=>0 [5,3,1,6,2,4]=>0 [5,3,1,6,4,2]=>0 [5,3,2,1,4,6]=>1 [5,3,2,1,6,4]=>1 [5,3,2,4,1,6]=>1 [5,3,2,4,6,1]=>1 [5,3,2,6,1,4]=>1 [5,3,2,6,4,1]=>1 [5,3,4,1,2,6]=>2 [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]=>2 [5,3,4,6,2,1]=>2 [5,3,6,1,2,4]=>3 [5,3,6,1,4,2]=>3 [5,3,6,2,1,4]=>3 [5,3,6,2,4,1]=>3 [5,3,6,4,1,2]=>3 [5,3,6,4,2,1]=>3 [5,4,1,2,3,6]=>0 [5,4,1,2,6,3]=>0 [5,4,1,3,2,6]=>0 [5,4,1,3,6,2]=>0 [5,4,1,6,2,3]=>0 [5,4,1,6,3,2]=>0 [5,4,2,1,3,6]=>1 [5,4,2,1,6,3]=>1 [5,4,2,3,1,6]=>1 [5,4,2,3,6,1]=>1 [5,4,2,6,1,3]=>1 [5,4,2,6,3,1]=>1 [5,4,3,1,2,6]=>2 [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]=>3 [5,4,6,2,1,3]=>3 [5,4,6,2,3,1]=>3 [5,4,6,3,1,2]=>3 [5,4,6,3,2,1]=>3 [5,6,1,2,3,4]=>0 [5,6,1,2,4,3]=>0 [5,6,1,3,2,4]=>0 [5,6,1,3,4,2]=>0 [5,6,1,4,2,3]=>0 [5,6,1,4,3,2]=>0 [5,6,2,1,3,4]=>1 [5,6,2,1,4,3]=>1 [5,6,2,3,1,4]=>1 [5,6,2,3,4,1]=>1 [5,6,2,4,1,3]=>1 [5,6,2,4,3,1]=>1 [5,6,3,1,2,4]=>2 [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]=>3 [5,6,4,2,1,3]=>3 [5,6,4,2,3,1]=>3 [5,6,4,3,1,2]=>3 [5,6,4,3,2,1]=>3 [6,1,2,3,4,5]=>0 [6,1,2,3,5,4]=>0 [6,1,2,4,3,5]=>0 [6,1,2,4,5,3]=>0 [6,1,2,5,3,4]=>0 [6,1,2,5,4,3]=>0 [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]=>1 [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]=>3 [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]=>3 [6,2,1,3,4,5]=>0 [6,2,1,3,5,4]=>0 [6,2,1,4,3,5]=>0 [6,2,1,4,5,3]=>0 [6,2,1,5,3,4]=>0 [6,2,1,5,4,3]=>0 [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]=>1 [6,2,4,1,3,5]=>2 [6,2,4,1,5,3]=>2 [6,2,4,3,1,5]=>2 [6,2,4,3,5,1]=>2 [6,2,4,5,1,3]=>2 [6,2,4,5,3,1]=>2 [6,2,5,1,3,4]=>3 [6,2,5,1,4,3]=>3 [6,2,5,3,1,4]=>3 [6,2,5,3,4,1]=>3 [6,2,5,4,1,3]=>3 [6,2,5,4,3,1]=>3 [6,3,1,2,4,5]=>0 [6,3,1,2,5,4]=>0 [6,3,1,4,2,5]=>0 [6,3,1,4,5,2]=>0 [6,3,1,5,2,4]=>0 [6,3,1,5,4,2]=>0 [6,3,2,1,4,5]=>1 [6,3,2,1,5,4]=>1 [6,3,2,4,1,5]=>1 [6,3,2,4,5,1]=>1 [6,3,2,5,1,4]=>1 [6,3,2,5,4,1]=>1 [6,3,4,1,2,5]=>2 [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]=>2 [6,3,4,5,2,1]=>2 [6,3,5,1,2,4]=>3 [6,3,5,1,4,2]=>3 [6,3,5,2,1,4]=>3 [6,3,5,2,4,1]=>3 [6,3,5,4,1,2]=>3 [6,3,5,4,2,1]=>3 [6,4,1,2,3,5]=>0 [6,4,1,2,5,3]=>0 [6,4,1,3,2,5]=>0 [6,4,1,3,5,2]=>0 [6,4,1,5,2,3]=>0 [6,4,1,5,3,2]=>0 [6,4,2,1,3,5]=>1 [6,4,2,1,5,3]=>1 [6,4,2,3,1,5]=>1 [6,4,2,3,5,1]=>1 [6,4,2,5,1,3]=>1 [6,4,2,5,3,1]=>1 [6,4,3,1,2,5]=>2 [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]=>3 [6,4,5,2,1,3]=>3 [6,4,5,2,3,1]=>3 [6,4,5,3,1,2]=>3 [6,4,5,3,2,1]=>3 [6,5,1,2,3,4]=>0 [6,5,1,2,4,3]=>0 [6,5,1,3,2,4]=>0 [6,5,1,3,4,2]=>0 [6,5,1,4,2,3]=>0 [6,5,1,4,3,2]=>0 [6,5,2,1,3,4]=>1 [6,5,2,1,4,3]=>1 [6,5,2,3,1,4]=>1 [6,5,2,3,4,1]=>1 [6,5,2,4,1,3]=>1 [6,5,2,4,3,1]=>1 [6,5,3,1,2,4]=>2 [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]=>3 [6,5,4,2,1,3]=>3 [6,5,4,2,3,1]=>3 [6,5,4,3,1,2]=>3 [6,5,4,3,2,1]=>3 [1,2,3,4,5,6,7]=>0
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Description
The number of inversions of the third entry of a permutation.
This is, for a permutation $\pi$ of length $n$,
$$\# \{3 < k \leq n \mid \pi(3) > \pi(k)\}.$$
The number of inversions of the first entry is St000054The first entry of the permutation. and the number of inversions of the second entry is St001557The number of inversions of the second entry of a permutation.. The sequence of inversions of all the entries define the Lehmer code of a permutation.
Code
def statistic(pi):
    k=3
    n=len(pi)
    return(sum(1 for i in [k+1 .. n] if pi(k)>pi(i)))
Created
Jun 25, 2020 at 10:01 by Kathrin Meier
Updated
Mar 12, 2026 at 17:43 by Nupur Jain