edit this statistic or download as text // json
Identifier
Values
=>
[1,2]=>2 [2,1]=>2 [1,2,3]=>3 [1,3,2]=>2 [2,1,3]=>2 [2,3,1]=>2 [3,1,2]=>2 [3,2,1]=>3 [1,2,3,4]=>4 [1,2,4,3]=>4 [1,3,2,4]=>2 [1,3,4,2]=>2 [1,4,2,3]=>2 [1,4,3,2]=>3 [2,1,3,4]=>4 [2,1,4,3]=>4 [2,3,1,4]=>2 [2,3,4,1]=>3 [2,4,1,3]=>0 [2,4,3,1]=>2 [3,1,2,4]=>2 [3,1,4,2]=>0 [3,2,1,4]=>3 [3,2,4,1]=>2 [3,4,1,2]=>4 [3,4,2,1]=>4 [4,1,2,3]=>3 [4,1,3,2]=>2 [4,2,1,3]=>2 [4,2,3,1]=>2 [4,3,1,2]=>4 [4,3,2,1]=>4 [1,2,3,4,5]=>5 [1,2,3,5,4]=>5 [1,2,4,3,5]=>4 [1,2,4,5,3]=>4 [1,2,5,3,4]=>4 [1,2,5,4,3]=>5 [1,3,2,4,5]=>4 [1,3,2,5,4]=>4 [1,3,4,2,5]=>2 [1,3,4,5,2]=>3 [1,3,5,2,4]=>0 [1,3,5,4,2]=>2 [1,4,2,3,5]=>2 [1,4,2,5,3]=>0 [1,4,3,2,5]=>3 [1,4,3,5,2]=>2 [1,4,5,2,3]=>4 [1,4,5,3,2]=>4 [1,5,2,3,4]=>3 [1,5,2,4,3]=>2 [1,5,3,2,4]=>2 [1,5,3,4,2]=>2 [1,5,4,2,3]=>4 [1,5,4,3,2]=>4 [2,1,3,4,5]=>5 [2,1,3,5,4]=>4 [2,1,4,3,5]=>4 [2,1,4,5,3]=>4 [2,1,5,3,4]=>4 [2,1,5,4,3]=>5 [2,3,1,4,5]=>4 [2,3,1,5,4]=>4 [2,3,4,1,5]=>3 [2,3,4,5,1]=>4 [2,3,5,1,4]=>2 [2,3,5,4,1]=>4 [2,4,1,3,5]=>0 [2,4,1,5,3]=>0 [2,4,3,1,5]=>2 [2,4,3,5,1]=>2 [2,4,5,1,3]=>2 [2,4,5,3,1]=>2 [2,5,1,3,4]=>2 [2,5,1,4,3]=>2 [2,5,3,1,4]=>0 [2,5,3,4,1]=>2 [2,5,4,1,3]=>2 [2,5,4,3,1]=>3 [3,1,2,4,5]=>4 [3,1,2,5,4]=>4 [3,1,4,2,5]=>0 [3,1,4,5,2]=>2 [3,1,5,2,4]=>0 [3,1,5,4,2]=>2 [3,2,1,4,5]=>5 [3,2,1,5,4]=>5 [3,2,4,1,5]=>2 [3,2,4,5,1]=>4 [3,2,5,1,4]=>2 [3,2,5,4,1]=>4 [3,4,1,2,5]=>4 [3,4,1,5,2]=>2 [3,4,2,1,5]=>4 [3,4,2,5,1]=>2 [3,4,5,1,2]=>5 [3,4,5,2,1]=>5 [3,5,1,2,4]=>2 [3,5,1,4,2]=>0 [3,5,2,1,4]=>2 [3,5,2,4,1]=>0 [3,5,4,1,2]=>4 [3,5,4,2,1]=>4 [4,1,2,3,5]=>3 [4,1,2,5,3]=>2 [4,1,3,2,5]=>2 [4,1,3,5,2]=>0 [4,1,5,2,3]=>2 [4,1,5,3,2]=>2 [4,2,1,3,5]=>2 [4,2,1,5,3]=>2 [4,2,3,1,5]=>2 [4,2,3,5,1]=>2 [4,2,5,1,3]=>0 [4,2,5,3,1]=>0 [4,3,1,2,5]=>4 [4,3,1,5,2]=>2 [4,3,2,1,5]=>4 [4,3,2,5,1]=>3 [4,3,5,1,2]=>4 [4,3,5,2,1]=>4 [4,5,1,2,3]=>5 [4,5,1,3,2]=>4 [4,5,2,1,3]=>4 [4,5,2,3,1]=>4 [4,5,3,1,2]=>4 [4,5,3,2,1]=>5 [5,1,2,3,4]=>4 [5,1,2,4,3]=>4 [5,1,3,2,4]=>2 [5,1,3,4,2]=>2 [5,1,4,2,3]=>2 [5,1,4,3,2]=>3 [5,2,1,3,4]=>4 [5,2,1,4,3]=>4 [5,2,3,1,4]=>2 [5,2,3,4,1]=>3 [5,2,4,1,3]=>0 [5,2,4,3,1]=>2 [5,3,1,2,4]=>2 [5,3,1,4,2]=>0 [5,3,2,1,4]=>3 [5,3,2,4,1]=>2 [5,3,4,1,2]=>4 [5,3,4,2,1]=>4 [5,4,1,2,3]=>5 [5,4,1,3,2]=>4 [5,4,2,1,3]=>4 [5,4,2,3,1]=>4 [5,4,3,1,2]=>5 [5,4,3,2,1]=>5 [1,2,3,4,5,6]=>6 [1,2,3,4,6,5]=>6 [1,2,3,5,4,6]=>5 [1,2,3,5,6,4]=>5 [1,2,3,6,4,5]=>5 [1,2,3,6,5,4]=>6 [1,2,4,3,5,6]=>6 [1,2,4,3,6,5]=>6 [1,2,4,5,3,6]=>4 [1,2,4,5,6,3]=>5 [1,2,4,6,3,5]=>2 [1,2,4,6,5,3]=>4 [1,2,5,3,4,6]=>4 [1,2,5,3,6,4]=>2 [1,2,5,4,3,6]=>5 [1,2,5,4,6,3]=>4 [1,2,5,6,3,4]=>6 [1,2,5,6,4,3]=>6 [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]=>4 [1,2,6,5,3,4]=>6 [1,2,6,5,4,3]=>6 [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]=>4 [1,3,2,6,4,5]=>4 [1,3,2,6,5,4]=>5 [1,3,4,2,5,6]=>4 [1,3,4,2,6,5]=>4 [1,3,4,5,2,6]=>3 [1,3,4,5,6,2]=>4 [1,3,4,6,2,5]=>2 [1,3,4,6,5,2]=>4 [1,3,5,2,4,6]=>0 [1,3,5,2,6,4]=>0 [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]=>2 [1,3,6,2,5,4]=>2 [1,3,6,4,2,5]=>0 [1,3,6,4,5,2]=>2 [1,3,6,5,2,4]=>2 [1,3,6,5,4,2]=>3 [1,4,2,3,5,6]=>4 [1,4,2,3,6,5]=>4 [1,4,2,5,3,6]=>0 [1,4,2,5,6,3]=>2 [1,4,2,6,3,5]=>0 [1,4,2,6,5,3]=>2 [1,4,3,2,5,6]=>5 [1,4,3,2,6,5]=>5 [1,4,3,5,2,6]=>2 [1,4,3,5,6,2]=>4 [1,4,3,6,2,5]=>2 [1,4,3,6,5,2]=>4 [1,4,5,2,3,6]=>4 [1,4,5,2,6,3]=>2 [1,4,5,3,2,6]=>4 [1,4,5,3,6,2]=>2 [1,4,5,6,2,3]=>5 [1,4,5,6,3,2]=>5 [1,4,6,2,3,5]=>2 [1,4,6,2,5,3]=>0 [1,4,6,3,2,5]=>2 [1,4,6,3,5,2]=>0 [1,4,6,5,2,3]=>4 [1,4,6,5,3,2]=>4 [1,5,2,3,4,6]=>3 [1,5,2,3,6,4]=>2 [1,5,2,4,3,6]=>2 [1,5,2,4,6,3]=>0 [1,5,2,6,3,4]=>2 [1,5,2,6,4,3]=>2 [1,5,3,2,4,6]=>2 [1,5,3,2,6,4]=>2 [1,5,3,4,2,6]=>2 [1,5,3,4,6,2]=>2 [1,5,3,6,2,4]=>0 [1,5,3,6,4,2]=>0 [1,5,4,2,3,6]=>4 [1,5,4,2,6,3]=>2 [1,5,4,3,2,6]=>4 [1,5,4,3,6,2]=>3 [1,5,4,6,2,3]=>4 [1,5,4,6,3,2]=>4 [1,5,6,2,3,4]=>5 [1,5,6,2,4,3]=>4 [1,5,6,3,2,4]=>4 [1,5,6,3,4,2]=>4 [1,5,6,4,2,3]=>4 [1,5,6,4,3,2]=>5 [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]=>2 [1,6,2,5,3,4]=>2 [1,6,2,5,4,3]=>3 [1,6,3,2,4,5]=>4 [1,6,3,2,5,4]=>4 [1,6,3,4,2,5]=>2 [1,6,3,4,5,2]=>3 [1,6,3,5,2,4]=>0 [1,6,3,5,4,2]=>2 [1,6,4,2,3,5]=>2 [1,6,4,2,5,3]=>0 [1,6,4,3,2,5]=>3 [1,6,4,3,5,2]=>2 [1,6,4,5,2,3]=>4 [1,6,4,5,3,2]=>4 [1,6,5,2,3,4]=>5 [1,6,5,2,4,3]=>4 [1,6,5,3,2,4]=>4 [1,6,5,3,4,2]=>4 [1,6,5,4,2,3]=>5 [1,6,5,4,3,2]=>5 [2,1,3,4,5,6]=>6 [2,1,3,4,6,5]=>6 [2,1,3,5,4,6]=>4 [2,1,3,5,6,4]=>4 [2,1,3,6,4,5]=>4 [2,1,3,6,5,4]=>5 [2,1,4,3,5,6]=>6 [2,1,4,3,6,5]=>6 [2,1,4,5,3,6]=>4 [2,1,4,5,6,3]=>5 [2,1,4,6,3,5]=>2 [2,1,4,6,5,3]=>4 [2,1,5,3,4,6]=>4 [2,1,5,3,6,4]=>2 [2,1,5,4,3,6]=>5 [2,1,5,4,6,3]=>4 [2,1,5,6,3,4]=>6 [2,1,5,6,4,3]=>6 [2,1,6,3,4,5]=>5 [2,1,6,3,5,4]=>4 [2,1,6,4,3,5]=>4 [2,1,6,4,5,3]=>4 [2,1,6,5,3,4]=>6 [2,1,6,5,4,3]=>6 [2,3,1,4,5,6]=>5 [2,3,1,4,6,5]=>4 [2,3,1,5,4,6]=>4 [2,3,1,5,6,4]=>4 [2,3,1,6,4,5]=>4 [2,3,1,6,5,4]=>5 [2,3,4,1,5,6]=>5 [2,3,4,1,6,5]=>5 [2,3,4,5,1,6]=>4 [2,3,4,5,6,1]=>5 [2,3,4,6,1,5]=>3 [2,3,4,6,5,1]=>5 [2,3,5,1,4,6]=>2 [2,3,5,1,6,4]=>2 [2,3,5,4,1,6]=>4 [2,3,5,4,6,1]=>4 [2,3,5,6,1,4]=>4 [2,3,5,6,4,1]=>4 [2,3,6,1,4,5]=>4 [2,3,6,1,5,4]=>4 [2,3,6,4,1,5]=>2 [2,3,6,4,5,1]=>4 [2,3,6,5,1,4]=>4 [2,3,6,5,4,1]=>5 [2,4,1,3,5,6]=>2 [2,4,1,3,6,5]=>2 [2,4,1,5,3,6]=>0 [2,4,1,5,6,3]=>2 [2,4,1,6,3,5]=>0 [2,4,1,6,5,3]=>2 [2,4,3,1,5,6]=>4 [2,4,3,1,6,5]=>4 [2,4,3,5,1,6]=>2 [2,4,3,5,6,1]=>4 [2,4,3,6,1,5]=>2 [2,4,3,6,5,1]=>4 [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]=>3 [2,4,5,6,3,1]=>3 [2,4,6,1,3,5]=>0 [2,4,6,1,5,3]=>0 [2,4,6,3,1,5]=>0 [2,4,6,3,5,1]=>0 [2,4,6,5,1,3]=>2 [2,4,6,5,3,1]=>2 [2,5,1,3,4,6]=>2 [2,5,1,3,6,4]=>0 [2,5,1,4,3,6]=>2 [2,5,1,4,6,3]=>0 [2,5,1,6,3,4]=>2 [2,5,1,6,4,3]=>2 [2,5,3,1,4,6]=>0 [2,5,3,1,6,4]=>0 [2,5,3,4,1,6]=>2 [2,5,3,4,6,1]=>2 [2,5,3,6,1,4]=>0 [2,5,3,6,4,1]=>0 [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]=>2 [2,5,6,1,3,4]=>4 [2,5,6,1,4,3]=>4 [2,5,6,3,1,4]=>2 [2,5,6,3,4,1]=>4 [2,5,6,4,1,3]=>2 [2,5,6,4,3,1]=>4 [2,6,1,3,4,5]=>3 [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]=>3 [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]=>3 [2,6,3,5,1,4]=>0 [2,6,3,5,4,1]=>2 [2,6,4,1,3,5]=>0 [2,6,4,1,5,3]=>0 [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]=>4 [2,6,5,1,4,3]=>4 [2,6,5,3,1,4]=>2 [2,6,5,3,4,1]=>4 [2,6,5,4,1,3]=>3 [2,6,5,4,3,1]=>4 [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]=>4 [3,1,2,6,4,5]=>4 [3,1,2,6,5,4]=>5 [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]=>3 [3,1,4,6,2,5]=>0 [3,1,4,6,5,2]=>2 [3,1,5,2,4,6]=>0 [3,1,5,2,6,4]=>0 [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]=>0 [3,1,6,4,5,2]=>2 [3,1,6,5,2,4]=>2 [3,1,6,5,4,2]=>3 [3,2,1,4,5,6]=>6 [3,2,1,4,6,5]=>5 [3,2,1,5,4,6]=>5 [3,2,1,5,6,4]=>5 [3,2,1,6,4,5]=>5 [3,2,1,6,5,4]=>6 [3,2,4,1,5,6]=>4 [3,2,4,1,6,5]=>4 [3,2,4,5,1,6]=>4 [3,2,4,5,6,1]=>5 [3,2,4,6,1,5]=>2 [3,2,4,6,5,1]=>4 [3,2,5,1,4,6]=>2 [3,2,5,1,6,4]=>2 [3,2,5,4,1,6]=>4 [3,2,5,4,6,1]=>4 [3,2,5,6,1,4]=>4 [3,2,5,6,4,1]=>4 [3,2,6,1,4,5]=>4 [3,2,6,1,5,4]=>4 [3,2,6,4,1,5]=>2 [3,2,6,4,5,1]=>4 [3,2,6,5,1,4]=>4 [3,2,6,5,4,1]=>5 [3,4,1,2,5,6]=>6 [3,4,1,2,6,5]=>6 [3,4,1,5,2,6]=>2 [3,4,1,5,6,2]=>4 [3,4,1,6,2,5]=>2 [3,4,1,6,5,2]=>4 [3,4,2,1,5,6]=>6 [3,4,2,1,6,5]=>6 [3,4,2,5,1,6]=>2 [3,4,2,5,6,1]=>4 [3,4,2,6,1,5]=>2 [3,4,2,6,5,1]=>4 [3,4,5,1,2,6]=>5 [3,4,5,1,6,2]=>3 [3,4,5,2,1,6]=>5 [3,4,5,2,6,1]=>3 [3,4,5,6,1,2]=>6 [3,4,5,6,2,1]=>6 [3,4,6,1,2,5]=>4 [3,4,6,1,5,2]=>2 [3,4,6,2,1,5]=>4 [3,4,6,2,5,1]=>2 [3,4,6,5,1,2]=>6 [3,4,6,5,2,1]=>6 [3,5,1,2,4,6]=>2 [3,5,1,2,6,4]=>2 [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]=>2 [3,5,2,1,6,4]=>2 [3,5,2,4,1,6]=>0 [3,5,2,4,6,1]=>0 [3,5,2,6,1,4]=>0 [3,5,2,6,4,1]=>0 [3,5,4,1,2,6]=>4 [3,5,4,1,6,2]=>2 [3,5,4,2,1,6]=>4 [3,5,4,2,6,1]=>2 [3,5,4,6,1,2]=>4 [3,5,4,6,2,1]=>4 [3,5,6,1,2,4]=>4 [3,5,6,1,4,2]=>2 [3,5,6,2,1,4]=>4 [3,5,6,2,4,1]=>2 [3,5,6,4,1,2]=>4 [3,5,6,4,2,1]=>4 [3,6,1,2,4,5]=>4 [3,6,1,2,5,4]=>4 [3,6,1,4,2,5]=>0 [3,6,1,4,5,2]=>2 [3,6,1,5,2,4]=>0 [3,6,1,5,4,2]=>2 [3,6,2,1,4,5]=>4 [3,6,2,1,5,4]=>4 [3,6,2,4,1,5]=>0 [3,6,2,4,5,1]=>2 [3,6,2,5,1,4]=>0 [3,6,2,5,4,1]=>2 [3,6,4,1,2,5]=>2 [3,6,4,1,5,2]=>0 [3,6,4,2,1,5]=>2 [3,6,4,2,5,1]=>0 [3,6,4,5,1,2]=>4 [3,6,4,5,2,1]=>4 [3,6,5,1,2,4]=>4 [3,6,5,1,4,2]=>2 [3,6,5,2,1,4]=>4 [3,6,5,2,4,1]=>2 [3,6,5,4,1,2]=>5 [3,6,5,4,2,1]=>5 [4,1,2,3,5,6]=>5 [4,1,2,3,6,5]=>5 [4,1,2,5,3,6]=>2 [4,1,2,5,6,3]=>4 [4,1,2,6,3,5]=>2 [4,1,2,6,5,3]=>4 [4,1,3,2,5,6]=>4 [4,1,3,2,6,5]=>4 [4,1,3,5,2,6]=>0 [4,1,3,5,6,2]=>2 [4,1,3,6,2,5]=>0 [4,1,3,6,5,2]=>2 [4,1,5,2,3,6]=>2 [4,1,5,2,6,3]=>0 [4,1,5,3,2,6]=>2 [4,1,5,3,6,2]=>0 [4,1,5,6,2,3]=>4 [4,1,5,6,3,2]=>4 [4,1,6,2,3,5]=>2 [4,1,6,2,5,3]=>0 [4,1,6,3,2,5]=>2 [4,1,6,3,5,2]=>0 [4,1,6,5,2,3]=>4 [4,1,6,5,3,2]=>4 [4,2,1,3,5,6]=>4 [4,2,1,3,6,5]=>4 [4,2,1,5,3,6]=>2 [4,2,1,5,6,3]=>4 [4,2,1,6,3,5]=>2 [4,2,1,6,5,3]=>4 [4,2,3,1,5,6]=>4 [4,2,3,1,6,5]=>4 [4,2,3,5,1,6]=>2 [4,2,3,5,6,1]=>4 [4,2,3,6,1,5]=>2 [4,2,3,6,5,1]=>4 [4,2,5,1,3,6]=>0 [4,2,5,1,6,3]=>0 [4,2,5,3,1,6]=>0 [4,2,5,3,6,1]=>0 [4,2,5,6,1,3]=>2 [4,2,5,6,3,1]=>2 [4,2,6,1,3,5]=>0 [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]=>2 [4,2,6,5,3,1]=>2 [4,3,1,2,5,6]=>6 [4,3,1,2,6,5]=>6 [4,3,1,5,2,6]=>2 [4,3,1,5,6,2]=>4 [4,3,1,6,2,5]=>2 [4,3,1,6,5,2]=>4 [4,3,2,1,5,6]=>6 [4,3,2,1,6,5]=>6 [4,3,2,5,1,6]=>3 [4,3,2,5,6,1]=>5 [4,3,2,6,1,5]=>3 [4,3,2,6,5,1]=>5 [4,3,5,1,2,6]=>4 [4,3,5,1,6,2]=>2 [4,3,5,2,1,6]=>4 [4,3,5,2,6,1]=>2 [4,3,5,6,1,2]=>6 [4,3,5,6,2,1]=>6 [4,3,6,1,2,5]=>4 [4,3,6,1,5,2]=>2 [4,3,6,2,1,5]=>4 [4,3,6,2,5,1]=>2 [4,3,6,5,1,2]=>6 [4,3,6,5,2,1]=>6 [4,5,1,2,3,6]=>5 [4,5,1,2,6,3]=>4 [4,5,1,3,2,6]=>4 [4,5,1,3,6,2]=>2 [4,5,1,6,2,3]=>4 [4,5,1,6,3,2]=>4 [4,5,2,1,3,6]=>4 [4,5,2,1,6,3]=>4 [4,5,2,3,1,6]=>4 [4,5,2,3,6,1]=>4 [4,5,2,6,1,3]=>2 [4,5,2,6,3,1]=>2 [4,5,3,1,2,6]=>4 [4,5,3,1,6,2]=>2 [4,5,3,2,1,6]=>5 [4,5,3,2,6,1]=>4 [4,5,3,6,1,2]=>4 [4,5,3,6,2,1]=>4 [4,5,6,1,2,3]=>6 [4,5,6,1,3,2]=>5 [4,5,6,2,1,3]=>5 [4,5,6,2,3,1]=>5 [4,5,6,3,1,2]=>5 [4,5,6,3,2,1]=>6 [4,6,1,2,3,5]=>3 [4,6,1,2,5,3]=>2 [4,6,1,3,2,5]=>2 [4,6,1,3,5,2]=>0 [4,6,1,5,2,3]=>2 [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]=>2 [4,6,2,3,5,1]=>2 [4,6,2,5,1,3]=>0 [4,6,2,5,3,1]=>0 [4,6,3,1,2,5]=>2 [4,6,3,1,5,2]=>0 [4,6,3,2,1,5]=>3 [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]=>5 [4,6,5,1,3,2]=>4 [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]=>4 [5,1,2,3,6,4]=>3 [5,1,2,4,3,6]=>4 [5,1,2,4,6,3]=>2 [5,1,2,6,3,4]=>4 [5,1,2,6,4,3]=>4 [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]=>0 [5,1,3,6,4,2]=>0 [5,1,4,2,3,6]=>2 [5,1,4,2,6,3]=>0 [5,1,4,3,2,6]=>3 [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]=>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]=>3 [5,2,1,3,4,6]=>4 [5,2,1,3,6,4]=>2 [5,2,1,4,3,6]=>4 [5,2,1,4,6,3]=>2 [5,2,1,6,3,4]=>4 [5,2,1,6,4,3]=>4 [5,2,3,1,4,6]=>2 [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]=>0 [5,2,4,1,6,3]=>0 [5,2,4,3,1,6]=>2 [5,2,4,3,6,1]=>2 [5,2,4,6,1,3]=>0 [5,2,4,6,3,1]=>0 [5,2,6,1,3,4]=>2 [5,2,6,1,4,3]=>2 [5,2,6,3,1,4]=>0 [5,2,6,3,4,1]=>2 [5,2,6,4,1,3]=>0 [5,2,6,4,3,1]=>2 [5,3,1,2,4,6]=>2 [5,3,1,2,6,4]=>2 [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]=>3 [5,3,2,1,6,4]=>3 [5,3,2,4,1,6]=>2 [5,3,2,4,6,1]=>2 [5,3,2,6,1,4]=>2 [5,3,2,6,4,1]=>2 [5,3,4,1,2,6]=>4 [5,3,4,1,6,2]=>2 [5,3,4,2,1,6]=>4 [5,3,4,2,6,1]=>2 [5,3,4,6,1,2]=>4 [5,3,4,6,2,1]=>4 [5,3,6,1,2,4]=>2 [5,3,6,1,4,2]=>0 [5,3,6,2,1,4]=>2 [5,3,6,2,4,1]=>0 [5,3,6,4,1,2]=>2 [5,3,6,4,2,1]=>2 [5,4,1,2,3,6]=>5 [5,4,1,2,6,3]=>4 [5,4,1,3,2,6]=>4 [5,4,1,3,6,2]=>2 [5,4,1,6,2,3]=>4 [5,4,1,6,3,2]=>4 [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]=>2 [5,4,2,6,3,1]=>2 [5,4,3,1,2,6]=>5 [5,4,3,1,6,2]=>3 [5,4,3,2,1,6]=>5 [5,4,3,2,6,1]=>4 [5,4,3,6,1,2]=>5 [5,4,3,6,2,1]=>5 [5,4,6,1,2,3]=>5 [5,4,6,1,3,2]=>4 [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]=>6 [5,6,1,2,4,3]=>6 [5,6,1,3,2,4]=>4 [5,6,1,3,4,2]=>4 [5,6,1,4,2,3]=>4 [5,6,1,4,3,2]=>5 [5,6,2,1,3,4]=>6 [5,6,2,1,4,3]=>6 [5,6,2,3,1,4]=>4 [5,6,2,3,4,1]=>5 [5,6,2,4,1,3]=>2 [5,6,2,4,3,1]=>4 [5,6,3,1,2,4]=>4 [5,6,3,1,4,2]=>2 [5,6,3,2,1,4]=>5 [5,6,3,2,4,1]=>4 [5,6,3,4,1,2]=>6 [5,6,3,4,2,1]=>6 [5,6,4,1,2,3]=>5 [5,6,4,1,3,2]=>4 [5,6,4,2,1,3]=>4 [5,6,4,2,3,1]=>4 [5,6,4,3,1,2]=>6 [5,6,4,3,2,1]=>6 [6,1,2,3,4,5]=>5 [6,1,2,3,5,4]=>5 [6,1,2,4,3,5]=>4 [6,1,2,4,5,3]=>4 [6,1,2,5,3,4]=>4 [6,1,2,5,4,3]=>5 [6,1,3,2,4,5]=>4 [6,1,3,2,5,4]=>4 [6,1,3,4,2,5]=>2 [6,1,3,4,5,2]=>3 [6,1,3,5,2,4]=>0 [6,1,3,5,4,2]=>2 [6,1,4,2,3,5]=>2 [6,1,4,2,5,3]=>0 [6,1,4,3,2,5]=>3 [6,1,4,3,5,2]=>2 [6,1,4,5,2,3]=>4 [6,1,4,5,3,2]=>4 [6,1,5,2,3,4]=>3 [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]=>4 [6,1,5,4,3,2]=>4 [6,2,1,3,4,5]=>5 [6,2,1,3,5,4]=>4 [6,2,1,4,3,5]=>4 [6,2,1,4,5,3]=>4 [6,2,1,5,3,4]=>4 [6,2,1,5,4,3]=>5 [6,2,3,1,4,5]=>4 [6,2,3,1,5,4]=>4 [6,2,3,4,1,5]=>3 [6,2,3,4,5,1]=>4 [6,2,3,5,1,4]=>2 [6,2,3,5,4,1]=>4 [6,2,4,1,3,5]=>0 [6,2,4,1,5,3]=>0 [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]=>2 [6,2,5,1,4,3]=>2 [6,2,5,3,1,4]=>0 [6,2,5,3,4,1]=>2 [6,2,5,4,1,3]=>2 [6,2,5,4,3,1]=>3 [6,3,1,2,4,5]=>4 [6,3,1,2,5,4]=>4 [6,3,1,4,2,5]=>0 [6,3,1,4,5,2]=>2 [6,3,1,5,2,4]=>0 [6,3,1,5,4,2]=>2 [6,3,2,1,4,5]=>5 [6,3,2,1,5,4]=>5 [6,3,2,4,1,5]=>2 [6,3,2,4,5,1]=>4 [6,3,2,5,1,4]=>2 [6,3,2,5,4,1]=>4 [6,3,4,1,2,5]=>4 [6,3,4,1,5,2]=>2 [6,3,4,2,1,5]=>4 [6,3,4,2,5,1]=>2 [6,3,4,5,1,2]=>5 [6,3,4,5,2,1]=>5 [6,3,5,1,2,4]=>2 [6,3,5,1,4,2]=>0 [6,3,5,2,1,4]=>2 [6,3,5,2,4,1]=>0 [6,3,5,4,1,2]=>4 [6,3,5,4,2,1]=>4 [6,4,1,2,3,5]=>3 [6,4,1,2,5,3]=>2 [6,4,1,3,2,5]=>2 [6,4,1,3,5,2]=>0 [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]=>2 [6,4,2,3,1,5]=>2 [6,4,2,3,5,1]=>2 [6,4,2,5,1,3]=>0 [6,4,2,5,3,1]=>0 [6,4,3,1,2,5]=>4 [6,4,3,1,5,2]=>2 [6,4,3,2,1,5]=>4 [6,4,3,2,5,1]=>3 [6,4,3,5,1,2]=>4 [6,4,3,5,2,1]=>4 [6,4,5,1,2,3]=>5 [6,4,5,1,3,2]=>4 [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]=>6 [6,5,1,2,4,3]=>6 [6,5,1,3,2,4]=>4 [6,5,1,3,4,2]=>4 [6,5,1,4,2,3]=>4 [6,5,1,4,3,2]=>5 [6,5,2,1,3,4]=>6 [6,5,2,1,4,3]=>6 [6,5,2,3,1,4]=>4 [6,5,2,3,4,1]=>5 [6,5,2,4,1,3]=>2 [6,5,2,4,3,1]=>4 [6,5,3,1,2,4]=>4 [6,5,3,1,4,2]=>2 [6,5,3,2,1,4]=>5 [6,5,3,2,4,1]=>4 [6,5,3,4,1,2]=>6 [6,5,3,4,2,1]=>6 [6,5,4,1,2,3]=>6 [6,5,4,1,3,2]=>5 [6,5,4,2,1,3]=>5 [6,5,4,2,3,1]=>5 [6,5,4,3,1,2]=>6 [6,5,4,3,2,1]=>6
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Description
The number of one-box pattern of a permutation.
This is the number of $i$ for which there is a $j$ such that $(i,\sigma_i)$ and $(j,\sigma_j)$ have distance 2 in the taxi metric on the $\mathbb{Z}^2$ grid.
References
[1] Kitaev, S., Remmel, J. The 1-box pattern on pattern avoiding permutations arXiv:1305.6970 MathSciNet:3168685
Code
def statistic( pi ):
    counter = 0
    for i in range(len(pi)):
        if i > 0 and abs(pi[i]-pi[i-1]) == 1:
            counter += 1
        elif i < len(pi)-1 and abs(pi[i]-pi[i+1]) == 1:
            counter += 1
    return counter
Created
Jun 04, 2013 at 09:21 by Christian Stump
Updated
May 29, 2015 at 16:35 by Martin Rubey