edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,2]=>0 [2,1]=>0 [1,2,3]=>1 [1,3,2]=>0 [2,1,3]=>0 [2,3,1]=>0 [3,1,2]=>0 [3,2,1]=>1 [1,2,3,4]=>2 [1,2,4,3]=>1 [1,3,2,4]=>0 [1,3,4,2]=>0 [1,4,2,3]=>1 [1,4,3,2]=>1 [2,1,3,4]=>1 [2,1,4,3]=>0 [2,3,1,4]=>1 [2,3,4,1]=>1 [2,4,1,3]=>0 [2,4,3,1]=>0 [3,1,2,4]=>0 [3,1,4,2]=>0 [3,2,1,4]=>1 [3,2,4,1]=>1 [3,4,1,2]=>0 [3,4,2,1]=>1 [4,1,2,3]=>1 [4,1,3,2]=>1 [4,2,1,3]=>0 [4,2,3,1]=>0 [4,3,1,2]=>1 [4,3,2,1]=>2 [1,2,3,4,5]=>4 [1,2,3,5,4]=>3 [1,2,4,3,5]=>2 [1,2,4,5,3]=>1 [1,2,5,3,4]=>2 [1,2,5,4,3]=>2 [1,3,2,4,5]=>2 [1,3,2,5,4]=>1 [1,3,4,2,5]=>2 [1,3,4,5,2]=>2 [1,3,5,2,4]=>1 [1,3,5,4,2]=>1 [1,4,2,3,5]=>2 [1,4,2,5,3]=>1 [1,4,3,2,5]=>2 [1,4,3,5,2]=>2 [1,4,5,2,3]=>1 [1,4,5,3,2]=>1 [1,5,2,3,4]=>2 [1,5,2,4,3]=>2 [1,5,3,2,4]=>0 [1,5,3,4,2]=>0 [1,5,4,2,3]=>2 [1,5,4,3,2]=>2 [2,1,3,4,5]=>3 [2,1,3,5,4]=>2 [2,1,4,3,5]=>1 [2,1,4,5,3]=>0 [2,1,5,3,4]=>1 [2,1,5,4,3]=>1 [2,3,1,4,5]=>2 [2,3,1,5,4]=>1 [2,3,4,1,5]=>2 [2,3,4,5,1]=>2 [2,3,5,1,4]=>1 [2,3,5,4,1]=>1 [2,4,1,3,5]=>1 [2,4,1,5,3]=>0 [2,4,3,1,5]=>0 [2,4,3,5,1]=>0 [2,4,5,1,3]=>0 [2,4,5,3,1]=>1 [2,5,1,3,4]=>1 [2,5,1,4,3]=>1 [2,5,3,1,4]=>2 [2,5,3,4,1]=>2 [2,5,4,1,3]=>1 [2,5,4,3,1]=>2 [3,1,2,4,5]=>1 [3,1,2,5,4]=>0 [3,1,4,2,5]=>1 [3,1,4,5,2]=>1 [3,1,5,2,4]=>0 [3,1,5,4,2]=>0 [3,2,1,4,5]=>2 [3,2,1,5,4]=>1 [3,2,4,1,5]=>2 [3,2,4,5,1]=>2 [3,2,5,1,4]=>1 [3,2,5,4,1]=>1 [3,4,1,2,5]=>1 [3,4,1,5,2]=>1 [3,4,2,1,5]=>2 [3,4,2,5,1]=>2 [3,4,5,1,2]=>1 [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]=>0 [3,5,4,2,1]=>1 [4,1,2,3,5]=>2 [4,1,2,5,3]=>1 [4,1,3,2,5]=>2 [4,1,3,5,2]=>2 [4,1,5,2,3]=>1 [4,1,5,3,2]=>1 [4,2,1,3,5]=>1 [4,2,1,5,3]=>0 [4,2,3,1,5]=>0 [4,2,3,5,1]=>0 [4,2,5,1,3]=>0 [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]=>1 [4,3,5,2,1]=>2 [4,5,1,2,3]=>1 [4,5,1,3,2]=>1 [4,5,2,1,3]=>0 [4,5,2,3,1]=>1 [4,5,3,1,2]=>2 [4,5,3,2,1]=>3 [5,1,2,3,4]=>2 [5,1,2,4,3]=>2 [5,1,3,2,4]=>0 [5,1,3,4,2]=>0 [5,1,4,2,3]=>2 [5,1,4,3,2]=>2 [5,2,1,3,4]=>1 [5,2,1,4,3]=>1 [5,2,3,1,4]=>2 [5,2,3,4,1]=>2 [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]=>2 [5,4,2,1,3]=>1 [5,4,2,3,1]=>2 [5,4,3,1,2]=>3 [5,4,3,2,1]=>4 [1,2,3,4,5,6]=>6 [1,2,3,4,6,5]=>5 [1,2,3,5,4,6]=>4 [1,2,3,5,6,4]=>3 [1,2,3,6,4,5]=>4 [1,2,3,6,5,4]=>4 [1,2,4,3,5,6]=>4 [1,2,4,3,6,5]=>3 [1,2,4,5,3,6]=>3 [1,2,4,5,6,3]=>3 [1,2,4,6,3,5]=>3 [1,2,4,6,5,3]=>2 [1,2,5,3,4,6]=>3 [1,2,5,3,6,4]=>2 [1,2,5,4,3,6]=>3 [1,2,5,4,6,3]=>3 [1,2,5,6,3,4]=>2 [1,2,5,6,4,3]=>2 [1,2,6,3,4,5]=>4 [1,2,6,3,5,4]=>4 [1,2,6,4,3,5]=>2 [1,2,6,4,5,3]=>1 [1,2,6,5,3,4]=>3 [1,2,6,5,4,3]=>3 [1,3,2,4,5,6]=>4 [1,3,2,4,6,5]=>3 [1,3,2,5,4,6]=>2 [1,3,2,5,6,4]=>1 [1,3,2,6,4,5]=>2 [1,3,2,6,5,4]=>2 [1,3,4,2,5,6]=>3 [1,3,4,2,6,5]=>2 [1,3,4,5,2,6]=>3 [1,3,4,5,6,2]=>3 [1,3,4,6,2,5]=>2 [1,3,4,6,5,2]=>2 [1,3,5,2,4,6]=>2 [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]=>2 [1,3,6,2,4,5]=>2 [1,3,6,2,5,4]=>2 [1,3,6,4,2,5]=>3 [1,3,6,4,5,2]=>3 [1,3,6,5,2,4]=>2 [1,3,6,5,4,2]=>3 [1,4,2,3,5,6]=>3 [1,4,2,3,6,5]=>2 [1,4,2,5,3,6]=>2 [1,4,2,5,6,3]=>2 [1,4,2,6,3,5]=>2 [1,4,2,6,5,3]=>1 [1,4,3,2,5,6]=>3 [1,4,3,2,6,5]=>2 [1,4,3,5,2,6]=>3 [1,4,3,5,6,2]=>3 [1,4,3,6,2,5]=>2 [1,4,3,6,5,2]=>2 [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]=>2 [1,4,6,2,5,3]=>1 [1,4,6,3,2,5]=>2 [1,4,6,3,5,2]=>2 [1,4,6,5,2,3]=>1 [1,4,6,5,3,2]=>1 [1,5,2,3,4,6]=>3 [1,5,2,3,6,4]=>2 [1,5,2,4,3,6]=>3 [1,5,2,4,6,3]=>3 [1,5,2,6,3,4]=>2 [1,5,2,6,4,3]=>2 [1,5,3,2,4,6]=>1 [1,5,3,2,6,4]=>0 [1,5,3,4,2,6]=>0 [1,5,3,4,6,2]=>0 [1,5,3,6,2,4]=>0 [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]=>2 [1,5,6,2,4,3]=>2 [1,5,6,3,2,4]=>0 [1,5,6,3,4,2]=>1 [1,5,6,4,2,3]=>3 [1,5,6,4,3,2]=>3 [1,6,2,3,4,5]=>4 [1,6,2,3,5,4]=>4 [1,6,2,4,3,5]=>2 [1,6,2,4,5,3]=>1 [1,6,2,5,3,4]=>3 [1,6,2,5,4,3]=>3 [1,6,3,2,4,5]=>2 [1,6,3,2,5,4]=>2 [1,6,3,4,2,5]=>3 [1,6,3,4,5,2]=>3 [1,6,3,5,2,4]=>2 [1,6,3,5,4,2]=>3 [1,6,4,2,3,5]=>3 [1,6,4,2,5,3]=>2 [1,6,4,3,2,5]=>3 [1,6,4,3,5,2]=>3 [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]=>1 [1,6,5,3,4,2]=>2 [1,6,5,4,2,3]=>4 [1,6,5,4,3,2]=>4 [2,1,3,4,5,6]=>5 [2,1,3,4,6,5]=>4 [2,1,3,5,4,6]=>3 [2,1,3,5,6,4]=>2 [2,1,3,6,4,5]=>3 [2,1,3,6,5,4]=>3 [2,1,4,3,5,6]=>3 [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]=>1 [2,1,5,3,4,6]=>2 [2,1,5,3,6,4]=>1 [2,1,5,4,3,6]=>2 [2,1,5,4,6,3]=>2 [2,1,5,6,3,4]=>1 [2,1,5,6,4,3]=>1 [2,1,6,3,4,5]=>3 [2,1,6,3,5,4]=>3 [2,1,6,4,3,5]=>1 [2,1,6,4,5,3]=>0 [2,1,6,5,3,4]=>2 [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]=>2 [2,3,1,5,6,4]=>1 [2,3,1,6,4,5]=>2 [2,3,1,6,5,4]=>2 [2,3,4,1,5,6]=>4 [2,3,4,1,6,5]=>3 [2,3,4,5,1,6]=>4 [2,3,4,5,6,1]=>4 [2,3,4,6,1,5]=>3 [2,3,4,6,5,1]=>3 [2,3,5,1,4,6]=>2 [2,3,5,1,6,4]=>1 [2,3,5,4,1,6]=>2 [2,3,5,4,6,1]=>2 [2,3,5,6,1,4]=>1 [2,3,5,6,4,1]=>1 [2,3,6,1,4,5]=>2 [2,3,6,1,5,4]=>2 [2,3,6,4,1,5]=>2 [2,3,6,4,5,1]=>2 [2,3,6,5,1,4]=>2 [2,3,6,5,4,1]=>2 [2,4,1,3,5,6]=>3 [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]=>1 [2,4,3,1,5,6]=>2 [2,4,3,1,6,5]=>1 [2,4,3,5,1,6]=>2 [2,4,3,5,6,1]=>2 [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]=>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]=>1 [2,4,6,3,1,5]=>1 [2,4,6,3,5,1]=>1 [2,4,6,5,1,3]=>1 [2,4,6,5,3,1]=>2 [2,5,1,3,4,6]=>2 [2,5,1,3,6,4]=>1 [2,5,1,4,3,6]=>2 [2,5,1,4,6,3]=>2 [2,5,1,6,3,4]=>1 [2,5,1,6,4,3]=>1 [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]=>3 [2,5,3,6,1,4]=>2 [2,5,3,6,4,1]=>2 [2,5,4,1,3,6]=>2 [2,5,4,1,6,3]=>2 [2,5,4,3,1,6]=>3 [2,5,4,3,6,1]=>3 [2,5,4,6,1,3]=>2 [2,5,4,6,3,1]=>3 [2,5,6,1,3,4]=>1 [2,5,6,1,4,3]=>1 [2,5,6,3,1,4]=>2 [2,5,6,3,4,1]=>2 [2,5,6,4,1,3]=>1 [2,5,6,4,3,1]=>2 [2,6,1,3,4,5]=>3 [2,6,1,3,5,4]=>3 [2,6,1,4,3,5]=>1 [2,6,1,4,5,3]=>0 [2,6,1,5,3,4]=>2 [2,6,1,5,4,3]=>2 [2,6,3,1,4,5]=>2 [2,6,3,1,5,4]=>2 [2,6,3,4,1,5]=>2 [2,6,3,4,5,1]=>2 [2,6,3,5,1,4]=>2 [2,6,3,5,4,1]=>2 [2,6,4,1,3,5]=>1 [2,6,4,1,5,3]=>0 [2,6,4,3,1,5]=>0 [2,6,4,3,5,1]=>0 [2,6,4,5,1,3]=>0 [2,6,4,5,3,1]=>1 [2,6,5,1,3,4]=>2 [2,6,5,1,4,3]=>2 [2,6,5,3,1,4]=>3 [2,6,5,3,4,1]=>3 [2,6,5,4,1,3]=>2 [2,6,5,4,3,1]=>3 [3,1,2,4,5,6]=>3 [3,1,2,4,6,5]=>2 [3,1,2,5,4,6]=>1 [3,1,2,5,6,4]=>0 [3,1,2,6,4,5]=>1 [3,1,2,6,5,4]=>1 [3,1,4,2,5,6]=>2 [3,1,4,2,6,5]=>1 [3,1,4,5,2,6]=>2 [3,1,4,5,6,2]=>2 [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]=>0 [3,1,5,4,2,6]=>0 [3,1,5,4,6,2]=>0 [3,1,5,6,2,4]=>0 [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]=>2 [3,1,6,4,5,2]=>2 [3,1,6,5,2,4]=>1 [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]=>2 [3,2,1,5,6,4]=>1 [3,2,1,6,4,5]=>2 [3,2,1,6,5,4]=>2 [3,2,4,1,5,6]=>4 [3,2,4,1,6,5]=>3 [3,2,4,5,1,6]=>4 [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]=>2 [3,2,5,1,6,4]=>1 [3,2,5,4,1,6]=>2 [3,2,5,4,6,1]=>2 [3,2,5,6,1,4]=>1 [3,2,5,6,4,1]=>1 [3,2,6,1,4,5]=>2 [3,2,6,1,5,4]=>2 [3,2,6,4,1,5]=>2 [3,2,6,4,5,1]=>2 [3,2,6,5,1,4]=>2 [3,2,6,5,4,1]=>2 [3,4,1,2,5,6]=>2 [3,4,1,2,6,5]=>1 [3,4,1,5,2,6]=>2 [3,4,1,5,6,2]=>2 [3,4,1,6,2,5]=>1 [3,4,1,6,5,2]=>1 [3,4,2,1,5,6]=>3 [3,4,2,1,6,5]=>2 [3,4,2,5,1,6]=>3 [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]=>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]=>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]=>1 [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]=>1 [3,5,2,1,4,6]=>2 [3,5,2,1,6,4]=>1 [3,5,2,4,1,6]=>2 [3,5,2,4,6,1]=>2 [3,5,2,6,1,4]=>1 [3,5,2,6,4,1]=>1 [3,5,4,1,2,6]=>0 [3,5,4,1,6,2]=>0 [3,5,4,2,1,6]=>1 [3,5,4,2,6,1]=>1 [3,5,4,6,1,2]=>0 [3,5,4,6,2,1]=>1 [3,5,6,1,2,4]=>0 [3,5,6,1,4,2]=>1 [3,5,6,2,1,4]=>1 [3,5,6,2,4,1]=>1 [3,5,6,4,1,2]=>1 [3,5,6,4,2,1]=>2 [3,6,1,2,4,5]=>1 [3,6,1,2,5,4]=>1 [3,6,1,4,2,5]=>2 [3,6,1,4,5,2]=>2 [3,6,1,5,2,4]=>1 [3,6,1,5,4,2]=>2 [3,6,2,1,4,5]=>2 [3,6,2,1,5,4]=>2 [3,6,2,4,1,5]=>2 [3,6,2,4,5,1]=>2 [3,6,2,5,1,4]=>2 [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]=>3 [3,6,4,2,5,1]=>3 [3,6,4,5,1,2]=>2 [3,6,4,5,2,1]=>3 [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]=>2 [3,6,5,4,1,2]=>2 [3,6,5,4,2,1]=>3 [4,1,2,3,5,6]=>3 [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]=>1 [4,1,3,2,5,6]=>3 [4,1,3,2,6,5]=>2 [4,1,3,5,2,6]=>3 [4,1,3,5,6,2]=>3 [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]=>1 [4,1,6,3,2,5]=>2 [4,1,6,3,5,2]=>2 [4,1,6,5,2,3]=>1 [4,1,6,5,3,2]=>1 [4,2,1,3,5,6]=>2 [4,2,1,3,6,5]=>1 [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]=>0 [4,2,3,1,5,6]=>1 [4,2,3,1,6,5]=>0 [4,2,3,5,1,6]=>1 [4,2,3,5,6,1]=>1 [4,2,3,6,1,5]=>0 [4,2,3,6,5,1]=>0 [4,2,5,1,3,6]=>1 [4,2,5,1,6,3]=>1 [4,2,5,3,1,6]=>2 [4,2,5,3,6,1]=>2 [4,2,5,6,1,3]=>1 [4,2,5,6,3,1]=>2 [4,2,6,1,3,5]=>1 [4,2,6,1,5,3]=>0 [4,2,6,3,1,5]=>0 [4,2,6,3,5,1]=>0 [4,2,6,5,1,3]=>0 [4,2,6,5,3,1]=>1 [4,3,1,2,5,6]=>2 [4,3,1,2,6,5]=>1 [4,3,1,5,2,6]=>2 [4,3,1,5,6,2]=>2 [4,3,1,6,2,5]=>1 [4,3,1,6,5,2]=>1 [4,3,2,1,5,6]=>3 [4,3,2,1,6,5]=>2 [4,3,2,5,1,6]=>3 [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]=>2 [4,3,5,1,6,2]=>2 [4,3,5,2,1,6]=>3 [4,3,5,2,6,1]=>3 [4,3,5,6,1,2]=>2 [4,3,5,6,2,1]=>3 [4,3,6,1,2,5]=>1 [4,3,6,1,5,2]=>1 [4,3,6,2,1,5]=>2 [4,3,6,2,5,1]=>2 [4,3,6,5,1,2]=>1 [4,3,6,5,2,1]=>2 [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]=>1 [4,5,2,1,6,3]=>1 [4,5,2,3,1,6]=>2 [4,5,2,3,6,1]=>2 [4,5,2,6,1,3]=>1 [4,5,2,6,3,1]=>2 [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]=>1 [4,5,6,2,3,1]=>2 [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]=>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]=>1 [4,6,2,1,3,5]=>1 [4,6,2,1,5,3]=>0 [4,6,2,3,1,5]=>0 [4,6,2,3,5,1]=>0 [4,6,2,5,1,3]=>0 [4,6,2,5,3,1]=>1 [4,6,3,1,2,5]=>1 [4,6,3,1,5,2]=>1 [4,6,3,2,1,5]=>2 [4,6,3,2,5,1]=>2 [4,6,3,5,1,2]=>1 [4,6,3,5,2,1]=>2 [4,6,5,1,2,3]=>1 [4,6,5,1,3,2]=>1 [4,6,5,2,1,3]=>0 [4,6,5,2,3,1]=>1 [4,6,5,3,1,2]=>2 [4,6,5,3,2,1]=>3 [5,1,2,3,4,6]=>3 [5,1,2,3,6,4]=>2 [5,1,2,4,3,6]=>3 [5,1,2,4,6,3]=>3 [5,1,2,6,3,4]=>2 [5,1,2,6,4,3]=>2 [5,1,3,2,4,6]=>1 [5,1,3,2,6,4]=>0 [5,1,3,4,2,6]=>0 [5,1,3,4,6,2]=>0 [5,1,3,6,2,4]=>0 [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]=>2 [5,1,6,2,4,3]=>2 [5,1,6,3,2,4]=>0 [5,1,6,3,4,2]=>1 [5,1,6,4,2,3]=>3 [5,1,6,4,3,2]=>3 [5,2,1,3,4,6]=>2 [5,2,1,3,6,4]=>1 [5,2,1,4,3,6]=>2 [5,2,1,4,6,3]=>2 [5,2,1,6,3,4]=>1 [5,2,1,6,4,3]=>1 [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]=>3 [5,2,3,6,1,4]=>2 [5,2,3,6,4,1]=>2 [5,2,4,1,3,6]=>2 [5,2,4,1,6,3]=>2 [5,2,4,3,1,6]=>3 [5,2,4,3,6,1]=>3 [5,2,4,6,1,3]=>2 [5,2,4,6,3,1]=>3 [5,2,6,1,3,4]=>1 [5,2,6,1,4,3]=>1 [5,2,6,3,1,4]=>2 [5,2,6,3,4,1]=>2 [5,2,6,4,1,3]=>1 [5,2,6,4,3,1]=>2 [5,3,1,2,4,6]=>2 [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]=>1 [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]=>3 [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]=>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]=>1 [5,3,4,6,2,1]=>2 [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]=>2 [5,3,6,4,1,2]=>2 [5,3,6,4,2,1]=>3 [5,4,1,2,3,6]=>2 [5,4,1,2,6,3]=>2 [5,4,1,3,2,6]=>2 [5,4,1,3,6,2]=>2 [5,4,1,6,2,3]=>2 [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]=>1 [5,4,2,6,3,1]=>2 [5,4,3,1,2,6]=>3 [5,4,3,1,6,2]=>3 [5,4,3,2,1,6]=>4 [5,4,3,2,6,1]=>4 [5,4,3,6,1,2]=>3 [5,4,3,6,2,1]=>4 [5,4,6,1,2,3]=>2 [5,4,6,1,3,2]=>2 [5,4,6,2,1,3]=>1 [5,4,6,2,3,1]=>2 [5,4,6,3,1,2]=>3 [5,4,6,3,2,1]=>4 [5,6,1,2,3,4]=>2 [5,6,1,2,4,3]=>2 [5,6,1,3,2,4]=>0 [5,6,1,3,4,2]=>1 [5,6,1,4,2,3]=>3 [5,6,1,4,3,2]=>3 [5,6,2,1,3,4]=>1 [5,6,2,1,4,3]=>1 [5,6,2,3,1,4]=>2 [5,6,2,3,4,1]=>2 [5,6,2,4,1,3]=>1 [5,6,2,4,3,1]=>2 [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]=>2 [5,6,3,4,1,2]=>2 [5,6,3,4,2,1]=>3 [5,6,4,1,2,3]=>3 [5,6,4,1,3,2]=>3 [5,6,4,2,1,3]=>2 [5,6,4,2,3,1]=>3 [5,6,4,3,1,2]=>4 [5,6,4,3,2,1]=>5 [6,1,2,3,4,5]=>4 [6,1,2,3,5,4]=>4 [6,1,2,4,3,5]=>2 [6,1,2,4,5,3]=>1 [6,1,2,5,3,4]=>3 [6,1,2,5,4,3]=>3 [6,1,3,2,4,5]=>2 [6,1,3,2,5,4]=>2 [6,1,3,4,2,5]=>3 [6,1,3,4,5,2]=>3 [6,1,3,5,2,4]=>2 [6,1,3,5,4,2]=>3 [6,1,4,2,3,5]=>3 [6,1,4,2,5,3]=>2 [6,1,4,3,2,5]=>3 [6,1,4,3,5,2]=>3 [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]=>1 [6,1,5,3,4,2]=>2 [6,1,5,4,2,3]=>4 [6,1,5,4,3,2]=>4 [6,2,1,3,4,5]=>3 [6,2,1,3,5,4]=>3 [6,2,1,4,3,5]=>1 [6,2,1,4,5,3]=>0 [6,2,1,5,3,4]=>2 [6,2,1,5,4,3]=>2 [6,2,3,1,4,5]=>2 [6,2,3,1,5,4]=>2 [6,2,3,4,1,5]=>2 [6,2,3,4,5,1]=>2 [6,2,3,5,1,4]=>2 [6,2,3,5,4,1]=>2 [6,2,4,1,3,5]=>1 [6,2,4,1,5,3]=>0 [6,2,4,3,1,5]=>0 [6,2,4,3,5,1]=>0 [6,2,4,5,1,3]=>0 [6,2,4,5,3,1]=>1 [6,2,5,1,3,4]=>2 [6,2,5,1,4,3]=>2 [6,2,5,3,1,4]=>3 [6,2,5,3,4,1]=>3 [6,2,5,4,1,3]=>2 [6,2,5,4,3,1]=>3 [6,3,1,2,4,5]=>1 [6,3,1,2,5,4]=>1 [6,3,1,4,2,5]=>2 [6,3,1,4,5,2]=>2 [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]=>2 [6,3,4,1,2,5]=>2 [6,3,4,1,5,2]=>2 [6,3,4,2,1,5]=>3 [6,3,4,2,5,1]=>3 [6,3,4,5,1,2]=>2 [6,3,4,5,2,1]=>3 [6,3,5,1,2,4]=>1 [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]=>3 [6,4,1,2,3,5]=>3 [6,4,1,2,5,3]=>2 [6,4,1,3,2,5]=>3 [6,4,1,3,5,2]=>3 [6,4,1,5,2,3]=>2 [6,4,1,5,3,2]=>2 [6,4,2,1,3,5]=>2 [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]=>2 [6,4,3,1,2,5]=>2 [6,4,3,1,5,2]=>2 [6,4,3,2,1,5]=>3 [6,4,3,2,5,1]=>3 [6,4,3,5,1,2]=>2 [6,4,3,5,2,1]=>3 [6,4,5,1,2,3]=>2 [6,4,5,1,3,2]=>2 [6,4,5,2,1,3]=>1 [6,4,5,2,3,1]=>2 [6,4,5,3,1,2]=>3 [6,4,5,3,2,1]=>4 [6,5,1,2,3,4]=>3 [6,5,1,2,4,3]=>3 [6,5,1,3,2,4]=>1 [6,5,1,3,4,2]=>2 [6,5,1,4,2,3]=>4 [6,5,1,4,3,2]=>4 [6,5,2,1,3,4]=>2 [6,5,2,1,4,3]=>2 [6,5,2,3,1,4]=>3 [6,5,2,3,4,1]=>3 [6,5,2,4,1,3]=>2 [6,5,2,4,3,1]=>3 [6,5,3,1,2,4]=>2 [6,5,3,1,4,2]=>3 [6,5,3,2,1,4]=>3 [6,5,3,2,4,1]=>3 [6,5,3,4,1,2]=>3 [6,5,3,4,2,1]=>4 [6,5,4,1,2,3]=>4 [6,5,4,1,3,2]=>4 [6,5,4,2,1,3]=>3 [6,5,4,2,3,1]=>4 [6,5,4,3,1,2]=>5 [6,5,4,3,2,1]=>6 [1,2,3,4,5,6,7]=>9 [1,2,3,4,5,7,6]=>8 [1,2,3,4,6,5,7]=>7 [1,2,3,4,6,7,5]=>6 [1,2,3,4,7,5,6]=>7 [1,2,3,4,7,6,5]=>7 [1,2,3,5,4,6,7]=>7 [1,2,3,5,4,7,6]=>6 [1,2,3,5,6,4,7]=>6 [1,2,3,5,6,7,4]=>5 [1,2,3,5,7,4,6]=>5 [1,2,3,5,7,6,4]=>4 [1,2,3,6,4,5,7]=>6 [1,2,3,6,4,7,5]=>5 [1,2,3,6,5,4,7]=>6 [1,2,3,6,5,7,4]=>5 [1,2,3,6,7,4,5]=>4 [1,2,3,6,7,5,4]=>4 [1,2,3,7,4,5,6]=>6 [1,2,3,7,4,6,5]=>6 [1,2,3,7,5,4,6]=>4 [1,2,3,7,5,6,4]=>3 [1,2,3,7,6,4,5]=>5 [1,2,3,7,6,5,4]=>5 [1,2,4,3,5,6,7]=>7 [1,2,4,3,5,7,6]=>6 [1,2,4,3,6,5,7]=>5 [1,2,4,3,6,7,5]=>4 [1,2,4,3,7,5,6]=>5 [1,2,4,3,7,6,5]=>5 [1,2,4,5,3,6,7]=>5 [1,2,4,5,3,7,6]=>4 [1,2,4,5,6,3,7]=>5 [1,2,4,5,6,7,3]=>5 [1,2,4,5,7,3,6]=>4 [1,2,4,5,7,6,3]=>4 [1,2,4,6,3,5,7]=>5 [1,2,4,6,3,7,5]=>4 [1,2,4,6,5,3,7]=>3 [1,2,4,6,5,7,3]=>3 [1,2,4,6,7,3,5]=>4 [1,2,4,6,7,5,3]=>4 [1,2,4,7,3,5,6]=>5 [1,2,4,7,3,6,5]=>5 [1,2,4,7,5,3,6]=>5 [1,2,4,7,5,6,3]=>5 [1,2,4,7,6,3,5]=>5 [1,2,4,7,6,5,3]=>5 [1,2,5,3,4,6,7]=>5 [1,2,5,3,4,7,6]=>4 [1,2,5,3,6,4,7]=>4 [1,2,5,3,6,7,4]=>3 [1,2,5,3,7,4,6]=>3 [1,2,5,3,7,6,4]=>2 [1,2,5,4,3,6,7]=>5 [1,2,5,4,3,7,6]=>4 [1,2,5,4,6,3,7]=>5 [1,2,5,4,6,7,3]=>5 [1,2,5,4,7,3,6]=>4 [1,2,5,4,7,6,3]=>4 [1,2,5,6,3,4,7]=>4 [1,2,5,6,3,7,4]=>3 [1,2,5,6,4,3,7]=>4 [1,2,5,6,4,7,3]=>4 [1,2,5,6,7,3,4]=>3 [1,2,5,6,7,4,3]=>3 [1,2,5,7,3,4,6]=>3 [1,2,5,7,3,6,4]=>2 [1,2,5,7,4,3,6]=>3 [1,2,5,7,4,6,3]=>3 [1,2,5,7,6,3,4]=>2 [1,2,5,7,6,4,3]=>2 [1,2,6,3,4,5,7]=>6 [1,2,6,3,4,7,5]=>5 [1,2,6,3,5,4,7]=>6 [1,2,6,3,5,7,4]=>5 [1,2,6,3,7,4,5]=>4 [1,2,6,3,7,5,4]=>4 [1,2,6,4,3,5,7]=>4 [1,2,6,4,3,7,5]=>3 [1,2,6,4,5,3,7]=>2 [1,2,6,4,5,7,3]=>2 [1,2,6,4,7,3,5]=>3 [1,2,6,4,7,5,3]=>3 [1,2,6,5,3,4,7]=>4 [1,2,6,5,3,7,4]=>3 [1,2,6,5,4,3,7]=>4 [1,2,6,5,4,7,3]=>4 [1,2,6,5,7,3,4]=>3 [1,2,6,5,7,4,3]=>3 [1,2,6,7,3,4,5]=>4 [1,2,6,7,3,5,4]=>4 [1,2,6,7,4,3,5]=>2 [1,2,6,7,4,5,3]=>2 [1,2,6,7,5,3,4]=>4 [1,2,6,7,5,4,3]=>4 [1,2,7,3,4,5,6]=>6 [1,2,7,3,4,6,5]=>6 [1,2,7,3,5,4,6]=>4 [1,2,7,3,5,6,4]=>3 [1,2,7,3,6,4,5]=>5 [1,2,7,3,6,5,4]=>5 [1,2,7,4,3,5,6]=>4 [1,2,7,4,3,6,5]=>4 [1,2,7,4,5,3,6]=>4 [1,2,7,4,5,6,3]=>4 [1,2,7,4,6,3,5]=>4 [1,2,7,4,6,5,3]=>4 [1,2,7,5,3,4,6]=>4 [1,2,7,5,3,6,4]=>3 [1,2,7,5,4,3,6]=>4 [1,2,7,5,4,6,3]=>4 [1,2,7,5,6,3,4]=>3 [1,2,7,5,6,4,3]=>3 [1,2,7,6,3,4,5]=>5 [1,2,7,6,3,5,4]=>5 [1,2,7,6,4,3,5]=>3 [1,2,7,6,4,5,3]=>3 [1,2,7,6,5,3,4]=>5 [1,2,7,6,5,4,3]=>5 [1,3,2,4,5,6,7]=>7 [1,3,2,4,5,7,6]=>6 [1,3,2,4,6,5,7]=>5 [1,3,2,4,6,7,5]=>4 [1,3,2,4,7,5,6]=>5 [1,3,2,4,7,6,5]=>5 [1,3,2,5,4,6,7]=>5 [1,3,2,5,4,7,6]=>4 [1,3,2,5,6,4,7]=>4 [1,3,2,5,6,7,4]=>3 [1,3,2,5,7,4,6]=>3 [1,3,2,5,7,6,4]=>2 [1,3,2,6,4,5,7]=>4 [1,3,2,6,4,7,5]=>3 [1,3,2,6,5,4,7]=>4 [1,3,2,6,5,7,4]=>3 [1,3,2,6,7,4,5]=>2 [1,3,2,6,7,5,4]=>2 [1,3,2,7,4,5,6]=>4 [1,3,2,7,4,6,5]=>4 [1,3,2,7,5,4,6]=>2 [1,3,2,7,5,6,4]=>1 [1,3,2,7,6,4,5]=>3 [1,3,2,7,6,5,4]=>3 [1,3,4,2,5,6,7]=>6 [1,3,4,2,5,7,6]=>5 [1,3,4,2,6,5,7]=>4 [1,3,4,2,6,7,5]=>3 [1,3,4,2,7,5,6]=>4 [1,3,4,2,7,6,5]=>4 [1,3,4,5,2,6,7]=>6 [1,3,4,5,2,7,6]=>5 [1,3,4,5,6,2,7]=>6 [1,3,4,5,6,7,2]=>6 [1,3,4,5,7,2,6]=>5 [1,3,4,5,7,6,2]=>5 [1,3,4,6,2,5,7]=>4 [1,3,4,6,2,7,5]=>3 [1,3,4,6,5,2,7]=>4 [1,3,4,6,5,7,2]=>4 [1,3,4,6,7,2,5]=>3 [1,3,4,6,7,5,2]=>3 [1,3,4,7,2,5,6]=>4 [1,3,4,7,2,6,5]=>4 [1,3,4,7,5,2,6]=>4 [1,3,4,7,5,6,2]=>4 [1,3,4,7,6,2,5]=>4 [1,3,4,7,6,5,2]=>4 [1,3,5,2,4,6,7]=>5 [1,3,5,2,4,7,6]=>4 [1,3,5,2,6,4,7]=>4 [1,3,5,2,6,7,4]=>3 [1,3,5,2,7,4,6]=>3 [1,3,5,2,7,6,4]=>2 [1,3,5,4,2,6,7]=>4 [1,3,5,4,2,7,6]=>3 [1,3,5,4,6,2,7]=>4 [1,3,5,4,6,7,2]=>4 [1,3,5,4,7,2,6]=>3 [1,3,5,4,7,6,2]=>3 [1,3,5,6,2,4,7]=>4 [1,3,5,6,2,7,4]=>3 [1,3,5,6,4,2,7]=>5 [1,3,5,6,4,7,2]=>5 [1,3,5,6,7,2,4]=>3 [1,3,5,6,7,4,2]=>4 [1,3,5,7,2,4,6]=>3 [1,3,5,7,2,6,4]=>2 [1,3,5,7,4,2,6]=>2 [1,3,5,7,4,6,2]=>2 [1,3,5,7,6,2,4]=>2 [1,3,5,7,6,4,2]=>3 [1,3,6,2,4,5,7]=>4 [1,3,6,2,4,7,5]=>3 [1,3,6,2,5,4,7]=>4 [1,3,6,2,5,7,4]=>3 [1,3,6,2,7,4,5]=>2 [1,3,6,2,7,5,4]=>2 [1,3,6,4,2,5,7]=>5 [1,3,6,4,2,7,5]=>4 [1,3,6,4,5,2,7]=>5 [1,3,6,4,5,7,2]=>5 [1,3,6,4,7,2,5]=>4 [1,3,6,4,7,5,2]=>4 [1,3,6,5,2,4,7]=>4 [1,3,6,5,2,7,4]=>3 [1,3,6,5,4,2,7]=>5 [1,3,6,5,4,7,2]=>5 [1,3,6,5,7,2,4]=>3 [1,3,6,5,7,4,2]=>4 [1,3,6,7,2,4,5]=>2 [1,3,6,7,2,5,4]=>2 [1,3,6,7,4,2,5]=>3 [1,3,6,7,4,5,2]=>3 [1,3,6,7,5,2,4]=>2 [1,3,6,7,5,4,2]=>3 [1,3,7,2,4,5,6]=>4 [1,3,7,2,4,6,5]=>4 [1,3,7,2,5,4,6]=>2 [1,3,7,2,5,6,4]=>1 [1,3,7,2,6,4,5]=>3 [1,3,7,2,6,5,4]=>3 [1,3,7,4,2,5,6]=>3 [1,3,7,4,2,6,5]=>3 [1,3,7,4,5,2,6]=>3 [1,3,7,4,5,6,2]=>3 [1,3,7,4,6,2,5]=>3 [1,3,7,4,6,5,2]=>3 [1,3,7,5,2,4,6]=>2 [1,3,7,5,2,6,4]=>1 [1,3,7,5,4,2,6]=>1 [1,3,7,5,4,6,2]=>1 [1,3,7,5,6,2,4]=>1 [1,3,7,5,6,4,2]=>2 [1,3,7,6,2,4,5]=>3 [1,3,7,6,2,5,4]=>3 [1,3,7,6,4,2,5]=>4 [1,3,7,6,4,5,2]=>4 [1,3,7,6,5,2,4]=>3 [1,3,7,6,5,4,2]=>4 [1,4,2,3,5,6,7]=>6 [1,4,2,3,5,7,6]=>5 [1,4,2,3,6,5,7]=>4 [1,4,2,3,6,7,5]=>3 [1,4,2,3,7,5,6]=>4 [1,4,2,3,7,6,5]=>4 [1,4,2,5,3,6,7]=>4 [1,4,2,5,3,7,6]=>3 [1,4,2,5,6,3,7]=>4 [1,4,2,5,6,7,3]=>4 [1,4,2,5,7,3,6]=>3 [1,4,2,5,7,6,3]=>3 [1,4,2,6,3,5,7]=>4 [1,4,2,6,3,7,5]=>3 [1,4,2,6,5,3,7]=>2 [1,4,2,6,5,7,3]=>2 [1,4,2,6,7,3,5]=>3 [1,4,2,6,7,5,3]=>3 [1,4,2,7,3,5,6]=>4 [1,4,2,7,3,6,5]=>4 [1,4,2,7,5,3,6]=>4 [1,4,2,7,5,6,3]=>4 [1,4,2,7,6,3,5]=>4 [1,4,2,7,6,5,3]=>4 [1,4,3,2,5,6,7]=>6 [1,4,3,2,5,7,6]=>5 [1,4,3,2,6,5,7]=>4 [1,4,3,2,6,7,5]=>3 [1,4,3,2,7,5,6]=>4 [1,4,3,2,7,6,5]=>4 [1,4,3,5,2,6,7]=>6 [1,4,3,5,2,7,6]=>5 [1,4,3,5,6,2,7]=>6 [1,4,3,5,6,7,2]=>6 [1,4,3,5,7,2,6]=>5 [1,4,3,5,7,6,2]=>5 [1,4,3,6,2,5,7]=>4 [1,4,3,6,2,7,5]=>3 [1,4,3,6,5,2,7]=>4 [1,4,3,6,5,7,2]=>4 [1,4,3,6,7,2,5]=>3 [1,4,3,6,7,5,2]=>3 [1,4,3,7,2,5,6]=>4 [1,4,3,7,2,6,5]=>4 [1,4,3,7,5,2,6]=>4 [1,4,3,7,5,6,2]=>4 [1,4,3,7,6,2,5]=>4 [1,4,3,7,6,5,2]=>4 [1,4,5,2,3,6,7]=>4 [1,4,5,2,3,7,6]=>3 [1,4,5,2,6,3,7]=>4 [1,4,5,2,6,7,3]=>4 [1,4,5,2,7,3,6]=>3 [1,4,5,2,7,6,3]=>3 [1,4,5,3,2,6,7]=>4 [1,4,5,3,2,7,6]=>3 [1,4,5,3,6,2,7]=>4 [1,4,5,3,6,7,2]=>4 [1,4,5,3,7,2,6]=>3 [1,4,5,3,7,6,2]=>3 [1,4,5,6,2,3,7]=>4 [1,4,5,6,2,7,3]=>4 [1,4,5,6,3,2,7]=>4 [1,4,5,6,3,7,2]=>4 [1,4,5,6,7,2,3]=>4 [1,4,5,6,7,3,2]=>4 [1,4,5,7,2,3,6]=>3 [1,4,5,7,2,6,3]=>3 [1,4,5,7,3,2,6]=>3 [1,4,5,7,3,6,2]=>3 [1,4,5,7,6,2,3]=>3 [1,4,5,7,6,3,2]=>3 [1,4,6,2,3,5,7]=>4 [1,4,6,2,3,7,5]=>3 [1,4,6,2,5,3,7]=>2 [1,4,6,2,5,7,3]=>2 [1,4,6,2,7,3,5]=>3 [1,4,6,2,7,5,3]=>3 [1,4,6,3,2,5,7]=>4 [1,4,6,3,2,7,5]=>3 [1,4,6,3,5,2,7]=>4 [1,4,6,3,5,7,2]=>4 [1,4,6,3,7,2,5]=>3 [1,4,6,3,7,5,2]=>3 [1,4,6,5,2,3,7]=>2 [1,4,6,5,2,7,3]=>2 [1,4,6,5,3,2,7]=>2
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Description
The number of arithmetic progressions of length 2 in a permutation.
For a permutation of length $n$, this is the number of indices $1 \leq i < j < k \leq n$ such that $\pi(k) - \pi(j) = \pi(j) - \pi(i)$.
Code
def statistic(pi):
    n = len(pi)
    return sum(1 for k in range(n) for j in range(k) for i in range(j) if pi[k] - pi[j] == pi[j] - pi[i])
Created
Jul 15, 2020 at 08:24 by Christian Stump
Updated
Jul 15, 2020 at 08:24 by Christian Stump