edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,2]=>0 [2,1]=>0 [1,2,3]=>0 [1,3,2]=>1 [2,1,3]=>0 [2,3,1]=>0 [3,1,2]=>-1 [3,2,1]=>0 [1,2,3,4]=>0 [1,2,4,3]=>2 [1,3,2,4]=>1 [1,3,4,2]=>1 [1,4,2,3]=>0 [1,4,3,2]=>2 [2,1,3,4]=>0 [2,1,4,3]=>2 [2,3,1,4]=>0 [2,3,4,1]=>0 [2,4,1,3]=>-1 [2,4,3,1]=>1 [3,1,2,4]=>-1 [3,1,4,2]=>1 [3,2,1,4]=>0 [3,2,4,1]=>0 [3,4,1,2]=>-2 [3,4,2,1]=>0 [4,1,2,3]=>-2 [4,1,3,2]=>0 [4,2,1,3]=>-1 [4,2,3,1]=>-1 [4,3,1,2]=>-2 [4,3,2,1]=>0 [1,2,3,4,5]=>0 [1,2,3,5,4]=>3 [1,2,4,3,5]=>2 [1,2,4,5,3]=>2 [1,2,5,3,4]=>1 [1,2,5,4,3]=>4 [1,3,2,4,5]=>1 [1,3,2,5,4]=>4 [1,3,4,2,5]=>1 [1,3,4,5,2]=>1 [1,3,5,2,4]=>0 [1,3,5,4,2]=>3 [1,4,2,3,5]=>0 [1,4,2,5,3]=>3 [1,4,3,2,5]=>2 [1,4,3,5,2]=>2 [1,4,5,2,3]=>-1 [1,4,5,3,2]=>2 [1,5,2,3,4]=>-1 [1,5,2,4,3]=>2 [1,5,3,2,4]=>1 [1,5,3,4,2]=>1 [1,5,4,2,3]=>0 [1,5,4,3,2]=>3 [2,1,3,4,5]=>0 [2,1,3,5,4]=>3 [2,1,4,3,5]=>2 [2,1,4,5,3]=>2 [2,1,5,3,4]=>1 [2,1,5,4,3]=>4 [2,3,1,4,5]=>0 [2,3,1,5,4]=>3 [2,3,4,1,5]=>0 [2,3,4,5,1]=>0 [2,3,5,1,4]=>-1 [2,3,5,4,1]=>2 [2,4,1,3,5]=>-1 [2,4,1,5,3]=>2 [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]=>-2 [2,5,1,4,3]=>1 [2,5,3,1,4]=>0 [2,5,3,4,1]=>0 [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]=>0 [3,1,5,4,2]=>3 [3,2,1,4,5]=>0 [3,2,1,5,4]=>3 [3,2,4,1,5]=>0 [3,2,4,5,1]=>0 [3,2,5,1,4]=>-1 [3,2,5,4,1]=>2 [3,4,1,2,5]=>-2 [3,4,1,5,2]=>1 [3,4,2,1,5]=>0 [3,4,2,5,1]=>0 [3,4,5,1,2]=>-3 [3,4,5,2,1]=>0 [3,5,1,2,4]=>-3 [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]=>1 [4,1,2,3,5]=>-2 [4,1,2,5,3]=>1 [4,1,3,2,5]=>0 [4,1,3,5,2]=>0 [4,1,5,2,3]=>-1 [4,1,5,3,2]=>2 [4,2,1,3,5]=>-1 [4,2,1,5,3]=>2 [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]=>-2 [4,3,1,5,2]=>1 [4,3,2,1,5]=>0 [4,3,2,5,1]=>0 [4,3,5,1,2]=>-3 [4,3,5,2,1]=>0 [4,5,1,2,3]=>-4 [4,5,1,3,2]=>-1 [4,5,2,1,3]=>-2 [4,5,2,3,1]=>-2 [4,5,3,1,2]=>-3 [4,5,3,2,1]=>0 [5,1,2,3,4]=>-3 [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]=>1 [5,2,1,3,4]=>-2 [5,2,1,4,3]=>1 [5,2,3,1,4]=>-2 [5,2,3,4,1]=>-2 [5,2,4,1,3]=>-3 [5,2,4,3,1]=>0 [5,3,1,2,4]=>-3 [5,3,1,4,2]=>0 [5,3,2,1,4]=>-1 [5,3,2,4,1]=>-1 [5,3,4,1,2]=>-4 [5,3,4,2,1]=>-1 [5,4,1,2,3]=>-4 [5,4,1,3,2]=>-1 [5,4,2,1,3]=>-2 [5,4,2,3,1]=>-2 [5,4,3,1,2]=>-3 [5,4,3,2,1]=>0 [1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>4 [1,2,3,5,4,6]=>3 [1,2,3,5,6,4]=>3 [1,2,3,6,4,5]=>2 [1,2,3,6,5,4]=>6 [1,2,4,3,5,6]=>2 [1,2,4,3,6,5]=>6 [1,2,4,5,3,6]=>2 [1,2,4,5,6,3]=>2 [1,2,4,6,3,5]=>1 [1,2,4,6,5,3]=>5 [1,2,5,3,4,6]=>1 [1,2,5,3,6,4]=>5 [1,2,5,4,3,6]=>4 [1,2,5,4,6,3]=>4 [1,2,5,6,3,4]=>0 [1,2,5,6,4,3]=>4 [1,2,6,3,4,5]=>0 [1,2,6,3,5,4]=>4 [1,2,6,4,3,5]=>3 [1,2,6,4,5,3]=>3 [1,2,6,5,3,4]=>2 [1,2,6,5,4,3]=>6 [1,3,2,4,5,6]=>1 [1,3,2,4,6,5]=>5 [1,3,2,5,4,6]=>4 [1,3,2,5,6,4]=>4 [1,3,2,6,4,5]=>3 [1,3,2,6,5,4]=>7 [1,3,4,2,5,6]=>1 [1,3,4,2,6,5]=>5 [1,3,4,5,2,6]=>1 [1,3,4,5,6,2]=>1 [1,3,4,6,2,5]=>0 [1,3,4,6,5,2]=>4 [1,3,5,2,4,6]=>0 [1,3,5,2,6,4]=>4 [1,3,5,4,2,6]=>3 [1,3,5,4,6,2]=>3 [1,3,5,6,2,4]=>-1 [1,3,5,6,4,2]=>3 [1,3,6,2,4,5]=>-1 [1,3,6,2,5,4]=>3 [1,3,6,4,2,5]=>2 [1,3,6,4,5,2]=>2 [1,3,6,5,2,4]=>1 [1,3,6,5,4,2]=>5 [1,4,2,3,5,6]=>0 [1,4,2,3,6,5]=>4 [1,4,2,5,3,6]=>3 [1,4,2,5,6,3]=>3 [1,4,2,6,3,5]=>2 [1,4,2,6,5,3]=>6 [1,4,3,2,5,6]=>2 [1,4,3,2,6,5]=>6 [1,4,3,5,2,6]=>2 [1,4,3,5,6,2]=>2 [1,4,3,6,2,5]=>1 [1,4,3,6,5,2]=>5 [1,4,5,2,3,6]=>-1 [1,4,5,2,6,3]=>3 [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]=>2 [1,4,6,3,2,5]=>1 [1,4,6,3,5,2]=>1 [1,4,6,5,2,3]=>0 [1,4,6,5,3,2]=>4 [1,5,2,3,4,6]=>-1 [1,5,2,3,6,4]=>3 [1,5,2,4,3,6]=>2 [1,5,2,4,6,3]=>2 [1,5,2,6,3,4]=>1 [1,5,2,6,4,3]=>5 [1,5,3,2,4,6]=>1 [1,5,3,2,6,4]=>5 [1,5,3,4,2,6]=>1 [1,5,3,4,6,2]=>1 [1,5,3,6,2,4]=>0 [1,5,3,6,4,2]=>4 [1,5,4,2,3,6]=>0 [1,5,4,2,6,3]=>4 [1,5,4,3,2,6]=>3 [1,5,4,3,6,2]=>3 [1,5,4,6,2,3]=>-1 [1,5,4,6,3,2]=>3 [1,5,6,2,3,4]=>-3 [1,5,6,2,4,3]=>1 [1,5,6,3,2,4]=>0 [1,5,6,3,4,2]=>0 [1,5,6,4,2,3]=>-1 [1,5,6,4,3,2]=>3 [1,6,2,3,4,5]=>-2 [1,6,2,3,5,4]=>2 [1,6,2,4,3,5]=>1 [1,6,2,4,5,3]=>1 [1,6,2,5,3,4]=>0 [1,6,2,5,4,3]=>4 [1,6,3,2,4,5]=>0 [1,6,3,2,5,4]=>4 [1,6,3,4,2,5]=>0 [1,6,3,4,5,2]=>0 [1,6,3,5,2,4]=>-1 [1,6,3,5,4,2]=>3 [1,6,4,2,3,5]=>-1 [1,6,4,2,5,3]=>3 [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]=>-2 [1,6,5,2,4,3]=>2 [1,6,5,3,2,4]=>1 [1,6,5,3,4,2]=>1 [1,6,5,4,2,3]=>0 [1,6,5,4,3,2]=>4 [2,1,3,4,5,6]=>0 [2,1,3,4,6,5]=>4 [2,1,3,5,4,6]=>3 [2,1,3,5,6,4]=>3 [2,1,3,6,4,5]=>2 [2,1,3,6,5,4]=>6 [2,1,4,3,5,6]=>2 [2,1,4,3,6,5]=>6 [2,1,4,5,3,6]=>2 [2,1,4,5,6,3]=>2 [2,1,4,6,3,5]=>1 [2,1,4,6,5,3]=>5 [2,1,5,3,4,6]=>1 [2,1,5,3,6,4]=>5 [2,1,5,4,3,6]=>4 [2,1,5,4,6,3]=>4 [2,1,5,6,3,4]=>0 [2,1,5,6,4,3]=>4 [2,1,6,3,4,5]=>0 [2,1,6,3,5,4]=>4 [2,1,6,4,3,5]=>3 [2,1,6,4,5,3]=>3 [2,1,6,5,3,4]=>2 [2,1,6,5,4,3]=>6 [2,3,1,4,5,6]=>0 [2,3,1,4,6,5]=>4 [2,3,1,5,4,6]=>3 [2,3,1,5,6,4]=>3 [2,3,1,6,4,5]=>2 [2,3,1,6,5,4]=>6 [2,3,4,1,5,6]=>0 [2,3,4,1,6,5]=>4 [2,3,4,5,1,6]=>0 [2,3,4,5,6,1]=>0 [2,3,4,6,1,5]=>-1 [2,3,4,6,5,1]=>3 [2,3,5,1,4,6]=>-1 [2,3,5,1,6,4]=>3 [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]=>-2 [2,3,6,1,5,4]=>2 [2,3,6,4,1,5]=>1 [2,3,6,4,5,1]=>1 [2,3,6,5,1,4]=>0 [2,3,6,5,4,1]=>4 [2,4,1,3,5,6]=>-1 [2,4,1,3,6,5]=>3 [2,4,1,5,3,6]=>2 [2,4,1,5,6,3]=>2 [2,4,1,6,3,5]=>1 [2,4,1,6,5,3]=>5 [2,4,3,1,5,6]=>1 [2,4,3,1,6,5]=>5 [2,4,3,5,1,6]=>1 [2,4,3,5,6,1]=>1 [2,4,3,6,1,5]=>0 [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]=>1 [2,4,5,3,6,1]=>1 [2,4,5,6,1,3]=>-3 [2,4,5,6,3,1]=>1 [2,4,6,1,3,5]=>-3 [2,4,6,1,5,3]=>1 [2,4,6,3,1,5]=>0 [2,4,6,3,5,1]=>0 [2,4,6,5,1,3]=>-1 [2,4,6,5,3,1]=>3 [2,5,1,3,4,6]=>-2 [2,5,1,3,6,4]=>2 [2,5,1,4,3,6]=>1 [2,5,1,4,6,3]=>1 [2,5,1,6,3,4]=>0 [2,5,1,6,4,3]=>4 [2,5,3,1,4,6]=>0 [2,5,3,1,6,4]=>4 [2,5,3,4,1,6]=>0 [2,5,3,4,6,1]=>0 [2,5,3,6,1,4]=>-1 [2,5,3,6,4,1]=>3 [2,5,4,1,3,6]=>-1 [2,5,4,1,6,3]=>3 [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]=>-4 [2,5,6,1,4,3]=>0 [2,5,6,3,1,4]=>-1 [2,5,6,3,4,1]=>-1 [2,5,6,4,1,3]=>-2 [2,5,6,4,3,1]=>2 [2,6,1,3,4,5]=>-3 [2,6,1,3,5,4]=>1 [2,6,1,4,3,5]=>0 [2,6,1,4,5,3]=>0 [2,6,1,5,3,4]=>-1 [2,6,1,5,4,3]=>3 [2,6,3,1,4,5]=>-1 [2,6,3,1,5,4]=>3 [2,6,3,4,1,5]=>-1 [2,6,3,4,5,1]=>-1 [2,6,3,5,1,4]=>-2 [2,6,3,5,4,1]=>2 [2,6,4,1,3,5]=>-2 [2,6,4,1,5,3]=>2 [2,6,4,3,1,5]=>1 [2,6,4,3,5,1]=>1 [2,6,4,5,1,3]=>-3 [2,6,4,5,3,1]=>1 [2,6,5,1,3,4]=>-3 [2,6,5,1,4,3]=>1 [2,6,5,3,1,4]=>0 [2,6,5,3,4,1]=>0 [2,6,5,4,1,3]=>-1 [2,6,5,4,3,1]=>3 [3,1,2,4,5,6]=>-1 [3,1,2,4,6,5]=>3 [3,1,2,5,4,6]=>2 [3,1,2,5,6,4]=>2 [3,1,2,6,4,5]=>1 [3,1,2,6,5,4]=>5 [3,1,4,2,5,6]=>1 [3,1,4,2,6,5]=>5 [3,1,4,5,2,6]=>1 [3,1,4,5,6,2]=>1 [3,1,4,6,2,5]=>0 [3,1,4,6,5,2]=>4 [3,1,5,2,4,6]=>0 [3,1,5,2,6,4]=>4 [3,1,5,4,2,6]=>3 [3,1,5,4,6,2]=>3 [3,1,5,6,2,4]=>-1 [3,1,5,6,4,2]=>3 [3,1,6,2,4,5]=>-1 [3,1,6,2,5,4]=>3 [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]=>5 [3,2,1,4,5,6]=>0 [3,2,1,4,6,5]=>4 [3,2,1,5,4,6]=>3 [3,2,1,5,6,4]=>3 [3,2,1,6,4,5]=>2 [3,2,1,6,5,4]=>6 [3,2,4,1,5,6]=>0 [3,2,4,1,6,5]=>4 [3,2,4,5,1,6]=>0 [3,2,4,5,6,1]=>0 [3,2,4,6,1,5]=>-1 [3,2,4,6,5,1]=>3 [3,2,5,1,4,6]=>-1 [3,2,5,1,6,4]=>3 [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]=>-2 [3,2,6,1,5,4]=>2 [3,2,6,4,1,5]=>1 [3,2,6,4,5,1]=>1 [3,2,6,5,1,4]=>0 [3,2,6,5,4,1]=>4 [3,4,1,2,5,6]=>-2 [3,4,1,2,6,5]=>2 [3,4,1,5,2,6]=>1 [3,4,1,5,6,2]=>1 [3,4,1,6,2,5]=>0 [3,4,1,6,5,2]=>4 [3,4,2,1,5,6]=>0 [3,4,2,1,6,5]=>4 [3,4,2,5,1,6]=>0 [3,4,2,5,6,1]=>0 [3,4,2,6,1,5]=>-1 [3,4,2,6,5,1]=>3 [3,4,5,1,2,6]=>-3 [3,4,5,1,6,2]=>1 [3,4,5,2,1,6]=>0 [3,4,5,2,6,1]=>0 [3,4,5,6,1,2]=>-4 [3,4,5,6,2,1]=>0 [3,4,6,1,2,5]=>-4 [3,4,6,1,5,2]=>0 [3,4,6,2,1,5]=>-1 [3,4,6,2,5,1]=>-1 [3,4,6,5,1,2]=>-2 [3,4,6,5,2,1]=>2 [3,5,1,2,4,6]=>-3 [3,5,1,2,6,4]=>1 [3,5,1,4,2,6]=>0 [3,5,1,4,6,2]=>0 [3,5,1,6,2,4]=>-1 [3,5,1,6,4,2]=>3 [3,5,2,1,4,6]=>-1 [3,5,2,1,6,4]=>3 [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]=>2 [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]=>-3 [3,5,4,6,2,1]=>1 [3,5,6,1,2,4]=>-5 [3,5,6,1,4,2]=>-1 [3,5,6,2,1,4]=>-2 [3,5,6,2,4,1]=>-2 [3,5,6,4,1,2]=>-3 [3,5,6,4,2,1]=>1 [3,6,1,2,4,5]=>-4 [3,6,1,2,5,4]=>0 [3,6,1,4,2,5]=>-1 [3,6,1,4,5,2]=>-1 [3,6,1,5,2,4]=>-2 [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]=>-3 [3,6,2,5,4,1]=>1 [3,6,4,1,2,5]=>-3 [3,6,4,1,5,2]=>1 [3,6,4,2,1,5]=>0 [3,6,4,2,5,1]=>0 [3,6,4,5,1,2]=>-4 [3,6,4,5,2,1]=>0 [3,6,5,1,2,4]=>-4 [3,6,5,1,4,2]=>0 [3,6,5,2,1,4]=>-1 [3,6,5,2,4,1]=>-1 [3,6,5,4,1,2]=>-2 [3,6,5,4,2,1]=>2 [4,1,2,3,5,6]=>-2 [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]=>0 [4,1,2,6,5,3]=>4 [4,1,3,2,5,6]=>0 [4,1,3,2,6,5]=>4 [4,1,3,5,2,6]=>0 [4,1,3,5,6,2]=>0 [4,1,3,6,2,5]=>-1 [4,1,3,6,5,2]=>3 [4,1,5,2,3,6]=>-1 [4,1,5,2,6,3]=>3 [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]=>2 [4,1,6,3,2,5]=>1 [4,1,6,3,5,2]=>1 [4,1,6,5,2,3]=>0 [4,1,6,5,3,2]=>4 [4,2,1,3,5,6]=>-1 [4,2,1,3,6,5]=>3 [4,2,1,5,3,6]=>2 [4,2,1,5,6,3]=>2 [4,2,1,6,3,5]=>1 [4,2,1,6,5,3]=>5 [4,2,3,1,5,6]=>-1 [4,2,3,1,6,5]=>3 [4,2,3,5,1,6]=>-1 [4,2,3,5,6,1]=>-1 [4,2,3,6,1,5]=>-2 [4,2,3,6,5,1]=>2 [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]=>-3 [4,2,5,6,3,1]=>1 [4,2,6,1,3,5]=>-3 [4,2,6,1,5,3]=>1 [4,2,6,3,1,5]=>0 [4,2,6,3,5,1]=>0 [4,2,6,5,1,3]=>-1 [4,2,6,5,3,1]=>3 [4,3,1,2,5,6]=>-2 [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]=>0 [4,3,1,6,5,2]=>4 [4,3,2,1,5,6]=>0 [4,3,2,1,6,5]=>4 [4,3,2,5,1,6]=>0 [4,3,2,5,6,1]=>0 [4,3,2,6,1,5]=>-1 [4,3,2,6,5,1]=>3 [4,3,5,1,2,6]=>-3 [4,3,5,1,6,2]=>1 [4,3,5,2,1,6]=>0 [4,3,5,2,6,1]=>0 [4,3,5,6,1,2]=>-4 [4,3,5,6,2,1]=>0 [4,3,6,1,2,5]=>-4 [4,3,6,1,5,2]=>0 [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]=>2 [4,5,1,2,3,6]=>-4 [4,5,1,2,6,3]=>0 [4,5,1,3,2,6]=>-1 [4,5,1,3,6,2]=>-1 [4,5,1,6,2,3]=>-2 [4,5,1,6,3,2]=>2 [4,5,2,1,3,6]=>-2 [4,5,2,1,6,3]=>2 [4,5,2,3,1,6]=>-2 [4,5,2,3,6,1]=>-2 [4,5,2,6,1,3]=>-3 [4,5,2,6,3,1]=>1 [4,5,3,1,2,6]=>-3 [4,5,3,1,6,2]=>1 [4,5,3,2,1,6]=>0 [4,5,3,2,6,1]=>0 [4,5,3,6,1,2]=>-4 [4,5,3,6,2,1]=>0 [4,5,6,1,2,3]=>-6 [4,5,6,1,3,2]=>-2 [4,5,6,2,1,3]=>-3 [4,5,6,2,3,1]=>-3 [4,5,6,3,1,2]=>-4 [4,5,6,3,2,1]=>0 [4,6,1,2,3,5]=>-5 [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]=>-3 [4,6,1,5,3,2]=>1 [4,6,2,1,3,5]=>-3 [4,6,2,1,5,3]=>1 [4,6,2,3,1,5]=>-3 [4,6,2,3,5,1]=>-3 [4,6,2,5,1,3]=>-4 [4,6,2,5,3,1]=>0 [4,6,3,1,2,5]=>-4 [4,6,3,1,5,2]=>0 [4,6,3,2,1,5]=>-1 [4,6,3,2,5,1]=>-1 [4,6,3,5,1,2]=>-5 [4,6,3,5,2,1]=>-1 [4,6,5,1,2,3]=>-5 [4,6,5,1,3,2]=>-1 [4,6,5,2,1,3]=>-2 [4,6,5,2,3,1]=>-2 [4,6,5,3,1,2]=>-3 [4,6,5,3,2,1]=>1 [5,1,2,3,4,6]=>-3 [5,1,2,3,6,4]=>1 [5,1,2,4,3,6]=>0 [5,1,2,4,6,3]=>0 [5,1,2,6,3,4]=>-1 [5,1,2,6,4,3]=>3 [5,1,3,2,4,6]=>-1 [5,1,3,2,6,4]=>3 [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]=>2 [5,1,4,2,3,6]=>-2 [5,1,4,2,6,3]=>2 [5,1,4,3,2,6]=>1 [5,1,4,3,6,2]=>1 [5,1,4,6,2,3]=>-3 [5,1,4,6,3,2]=>1 [5,1,6,2,3,4]=>-3 [5,1,6,2,4,3]=>1 [5,1,6,3,2,4]=>0 [5,1,6,3,4,2]=>0 [5,1,6,4,2,3]=>-1 [5,1,6,4,3,2]=>3 [5,2,1,3,4,6]=>-2 [5,2,1,3,6,4]=>2 [5,2,1,4,3,6]=>1 [5,2,1,4,6,3]=>1 [5,2,1,6,3,4]=>0 [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]=>-2 [5,2,3,4,6,1]=>-2 [5,2,3,6,1,4]=>-3 [5,2,3,6,4,1]=>1 [5,2,4,1,3,6]=>-3 [5,2,4,1,6,3]=>1 [5,2,4,3,1,6]=>0 [5,2,4,3,6,1]=>0 [5,2,4,6,1,3]=>-4 [5,2,4,6,3,1]=>0 [5,2,6,1,3,4]=>-4 [5,2,6,1,4,3]=>0 [5,2,6,3,1,4]=>-1 [5,2,6,3,4,1]=>-1 [5,2,6,4,1,3]=>-2 [5,2,6,4,3,1]=>2 [5,3,1,2,4,6]=>-3 [5,3,1,2,6,4]=>1 [5,3,1,4,2,6]=>0 [5,3,1,4,6,2]=>0 [5,3,1,6,2,4]=>-1 [5,3,1,6,4,2]=>3 [5,3,2,1,4,6]=>-1 [5,3,2,1,6,4]=>3 [5,3,2,4,1,6]=>-1 [5,3,2,4,6,1]=>-1 [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]=>0 [5,3,4,2,1,6]=>-1 [5,3,4,2,6,1]=>-1 [5,3,4,6,1,2]=>-5 [5,3,4,6,2,1]=>-1 [5,3,6,1,2,4]=>-5 [5,3,6,1,4,2]=>-1 [5,3,6,2,1,4]=>-2 [5,3,6,2,4,1]=>-2 [5,3,6,4,1,2]=>-3 [5,3,6,4,2,1]=>1 [5,4,1,2,3,6]=>-4 [5,4,1,2,6,3]=>0 [5,4,1,3,2,6]=>-1 [5,4,1,3,6,2]=>-1 [5,4,1,6,2,3]=>-2 [5,4,1,6,3,2]=>2 [5,4,2,1,3,6]=>-2 [5,4,2,1,6,3]=>2 [5,4,2,3,1,6]=>-2 [5,4,2,3,6,1]=>-2 [5,4,2,6,1,3]=>-3 [5,4,2,6,3,1]=>1 [5,4,3,1,2,6]=>-3 [5,4,3,1,6,2]=>1 [5,4,3,2,1,6]=>0 [5,4,3,2,6,1]=>0 [5,4,3,6,1,2]=>-4 [5,4,3,6,2,1]=>0 [5,4,6,1,2,3]=>-6 [5,4,6,1,3,2]=>-2 [5,4,6,2,1,3]=>-3 [5,4,6,2,3,1]=>-3 [5,4,6,3,1,2]=>-4 [5,4,6,3,2,1]=>0 [5,6,1,2,3,4]=>-6 [5,6,1,2,4,3]=>-2 [5,6,1,3,2,4]=>-3 [5,6,1,3,4,2]=>-3 [5,6,1,4,2,3]=>-4 [5,6,1,4,3,2]=>0 [5,6,2,1,3,4]=>-4 [5,6,2,1,4,3]=>0 [5,6,2,3,1,4]=>-4 [5,6,2,3,4,1]=>-4 [5,6,2,4,1,3]=>-5 [5,6,2,4,3,1]=>-1 [5,6,3,1,2,4]=>-5 [5,6,3,1,4,2]=>-1 [5,6,3,2,1,4]=>-2 [5,6,3,2,4,1]=>-2 [5,6,3,4,1,2]=>-6 [5,6,3,4,2,1]=>-2 [5,6,4,1,2,3]=>-6 [5,6,4,1,3,2]=>-2 [5,6,4,2,1,3]=>-3 [5,6,4,2,3,1]=>-3 [5,6,4,3,1,2]=>-4 [5,6,4,3,2,1]=>0 [6,1,2,3,4,5]=>-4 [6,1,2,3,5,4]=>0 [6,1,2,4,3,5]=>-1 [6,1,2,4,5,3]=>-1 [6,1,2,5,3,4]=>-2 [6,1,2,5,4,3]=>2 [6,1,3,2,4,5]=>-2 [6,1,3,2,5,4]=>2 [6,1,3,4,2,5]=>-2 [6,1,3,4,5,2]=>-2 [6,1,3,5,2,4]=>-3 [6,1,3,5,4,2]=>1 [6,1,4,2,3,5]=>-3 [6,1,4,2,5,3]=>1 [6,1,4,3,2,5]=>0 [6,1,4,3,5,2]=>0 [6,1,4,5,2,3]=>-4 [6,1,4,5,3,2]=>0 [6,1,5,2,3,4]=>-4 [6,1,5,2,4,3]=>0 [6,1,5,3,2,4]=>-1 [6,1,5,3,4,2]=>-1 [6,1,5,4,2,3]=>-2 [6,1,5,4,3,2]=>2 [6,2,1,3,4,5]=>-3 [6,2,1,3,5,4]=>1 [6,2,1,4,3,5]=>0 [6,2,1,4,5,3]=>0 [6,2,1,5,3,4]=>-1 [6,2,1,5,4,3]=>3 [6,2,3,1,4,5]=>-3 [6,2,3,1,5,4]=>1 [6,2,3,4,1,5]=>-3 [6,2,3,4,5,1]=>-3 [6,2,3,5,1,4]=>-4 [6,2,3,5,4,1]=>0 [6,2,4,1,3,5]=>-4 [6,2,4,1,5,3]=>0 [6,2,4,3,1,5]=>-1 [6,2,4,3,5,1]=>-1 [6,2,4,5,1,3]=>-5 [6,2,4,5,3,1]=>-1 [6,2,5,1,3,4]=>-5 [6,2,5,1,4,3]=>-1 [6,2,5,3,1,4]=>-2 [6,2,5,3,4,1]=>-2 [6,2,5,4,1,3]=>-3 [6,2,5,4,3,1]=>1 [6,3,1,2,4,5]=>-4 [6,3,1,2,5,4]=>0 [6,3,1,4,2,5]=>-1 [6,3,1,4,5,2]=>-1 [6,3,1,5,2,4]=>-2 [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]=>-3 [6,3,2,5,4,1]=>1 [6,3,4,1,2,5]=>-5 [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]=>-6 [6,3,4,5,2,1]=>-2 [6,3,5,1,2,4]=>-6 [6,3,5,1,4,2]=>-2 [6,3,5,2,1,4]=>-3 [6,3,5,2,4,1]=>-3 [6,3,5,4,1,2]=>-4 [6,3,5,4,2,1]=>0 [6,4,1,2,3,5]=>-5 [6,4,1,2,5,3]=>-1 [6,4,1,3,2,5]=>-2 [6,4,1,3,5,2]=>-2 [6,4,1,5,2,3]=>-3 [6,4,1,5,3,2]=>1 [6,4,2,1,3,5]=>-3 [6,4,2,1,5,3]=>1 [6,4,2,3,1,5]=>-3 [6,4,2,3,5,1]=>-3 [6,4,2,5,1,3]=>-4 [6,4,2,5,3,1]=>0 [6,4,3,1,2,5]=>-4 [6,4,3,1,5,2]=>0 [6,4,3,2,1,5]=>-1 [6,4,3,2,5,1]=>-1 [6,4,3,5,1,2]=>-5 [6,4,3,5,2,1]=>-1 [6,4,5,1,2,3]=>-7 [6,4,5,1,3,2]=>-3 [6,4,5,2,1,3]=>-4 [6,4,5,2,3,1]=>-4 [6,4,5,3,1,2]=>-5 [6,4,5,3,2,1]=>-1 [6,5,1,2,3,4]=>-6 [6,5,1,2,4,3]=>-2 [6,5,1,3,2,4]=>-3 [6,5,1,3,4,2]=>-3 [6,5,1,4,2,3]=>-4 [6,5,1,4,3,2]=>0 [6,5,2,1,3,4]=>-4 [6,5,2,1,4,3]=>0 [6,5,2,3,1,4]=>-4 [6,5,2,3,4,1]=>-4 [6,5,2,4,1,3]=>-5 [6,5,2,4,3,1]=>-1 [6,5,3,1,2,4]=>-5 [6,5,3,1,4,2]=>-1 [6,5,3,2,1,4]=>-2 [6,5,3,2,4,1]=>-2 [6,5,3,4,1,2]=>-6 [6,5,3,4,2,1]=>-2 [6,5,4,1,2,3]=>-6 [6,5,4,1,3,2]=>-2 [6,5,4,2,1,3]=>-3 [6,5,4,2,3,1]=>-3 [6,5,4,3,1,2]=>-4 [6,5,4,3,2,1]=>0 [1,2,3,4,5,6,7]=>0 [1,2,3,4,5,7,6]=>5 [1,2,3,4,6,5,7]=>4 [1,2,3,4,6,7,5]=>4 [1,2,3,4,7,5,6]=>3 [1,2,3,4,7,6,5]=>8 [1,2,3,5,4,6,7]=>3 [1,2,3,5,4,7,6]=>8 [1,2,3,5,6,4,7]=>3 [1,2,3,5,6,7,4]=>3 [1,2,3,5,7,4,6]=>2 [1,2,3,5,7,6,4]=>7 [1,2,3,6,4,5,7]=>2 [1,2,3,6,4,7,5]=>7 [1,2,3,6,5,4,7]=>6 [1,2,3,6,5,7,4]=>6 [1,2,3,6,7,4,5]=>1 [1,2,3,6,7,5,4]=>6 [1,2,3,7,4,5,6]=>1 [1,2,3,7,4,6,5]=>6 [1,2,3,7,5,4,6]=>5 [1,2,3,7,5,6,4]=>5 [1,2,3,7,6,4,5]=>4 [1,2,3,7,6,5,4]=>9 [1,2,4,3,5,6,7]=>2 [1,2,4,3,5,7,6]=>7 [1,2,4,3,6,5,7]=>6 [1,2,4,3,6,7,5]=>6 [1,2,4,3,7,5,6]=>5 [1,2,4,3,7,6,5]=>10 [1,2,4,5,3,6,7]=>2 [1,2,4,5,3,7,6]=>7 [1,2,4,5,6,3,7]=>2 [1,2,4,5,6,7,3]=>2 [1,2,4,5,7,3,6]=>1 [1,2,4,5,7,6,3]=>6 [1,2,4,6,3,5,7]=>1 [1,2,4,6,3,7,5]=>6 [1,2,4,6,5,3,7]=>5 [1,2,4,6,5,7,3]=>5 [1,2,4,6,7,3,5]=>0 [1,2,4,6,7,5,3]=>5 [1,2,4,7,3,5,6]=>0 [1,2,4,7,3,6,5]=>5 [1,2,4,7,5,3,6]=>4 [1,2,4,7,5,6,3]=>4 [1,2,4,7,6,3,5]=>3 [1,2,4,7,6,5,3]=>8 [1,2,5,3,4,6,7]=>1 [1,2,5,3,4,7,6]=>6 [1,2,5,3,6,4,7]=>5 [1,2,5,3,6,7,4]=>5 [1,2,5,3,7,4,6]=>4 [1,2,5,3,7,6,4]=>9 [1,2,5,4,3,6,7]=>4 [1,2,5,4,3,7,6]=>9 [1,2,5,4,6,3,7]=>4 [1,2,5,4,6,7,3]=>4 [1,2,5,4,7,3,6]=>3 [1,2,5,4,7,6,3]=>8 [1,2,5,6,3,4,7]=>0 [1,2,5,6,3,7,4]=>5 [1,2,5,6,4,3,7]=>4 [1,2,5,6,4,7,3]=>4 [1,2,5,6,7,3,4]=>-1 [1,2,5,6,7,4,3]=>4 [1,2,5,7,3,4,6]=>-1 [1,2,5,7,3,6,4]=>4 [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]=>7 [1,2,6,3,4,5,7]=>0 [1,2,6,3,4,7,5]=>5 [1,2,6,3,5,4,7]=>4 [1,2,6,3,5,7,4]=>4 [1,2,6,3,7,4,5]=>3 [1,2,6,3,7,5,4]=>8 [1,2,6,4,3,5,7]=>3 [1,2,6,4,3,7,5]=>8 [1,2,6,4,5,3,7]=>3 [1,2,6,4,5,7,3]=>3 [1,2,6,4,7,3,5]=>2 [1,2,6,4,7,5,3]=>7 [1,2,6,5,3,4,7]=>2 [1,2,6,5,3,7,4]=>7 [1,2,6,5,4,3,7]=>6 [1,2,6,5,4,7,3]=>6 [1,2,6,5,7,3,4]=>1 [1,2,6,5,7,4,3]=>6 [1,2,6,7,3,4,5]=>-2 [1,2,6,7,3,5,4]=>3 [1,2,6,7,4,3,5]=>2 [1,2,6,7,4,5,3]=>2 [1,2,6,7,5,3,4]=>1 [1,2,6,7,5,4,3]=>6 [1,2,7,3,4,5,6]=>-1 [1,2,7,3,4,6,5]=>4 [1,2,7,3,5,4,6]=>3 [1,2,7,3,5,6,4]=>3 [1,2,7,3,6,4,5]=>2 [1,2,7,3,6,5,4]=>7 [1,2,7,4,3,5,6]=>2 [1,2,7,4,3,6,5]=>7 [1,2,7,4,5,3,6]=>2 [1,2,7,4,5,6,3]=>2 [1,2,7,4,6,3,5]=>1 [1,2,7,4,6,5,3]=>6 [1,2,7,5,3,4,6]=>1 [1,2,7,5,3,6,4]=>6 [1,2,7,5,4,3,6]=>5 [1,2,7,5,4,6,3]=>5 [1,2,7,5,6,3,4]=>0 [1,2,7,5,6,4,3]=>5 [1,2,7,6,3,4,5]=>0 [1,2,7,6,3,5,4]=>5 [1,2,7,6,4,3,5]=>4 [1,2,7,6,4,5,3]=>4 [1,2,7,6,5,3,4]=>3 [1,2,7,6,5,4,3]=>8 [1,3,2,4,5,6,7]=>1 [1,3,2,4,5,7,6]=>6 [1,3,2,4,6,5,7]=>5 [1,3,2,4,6,7,5]=>5 [1,3,2,4,7,5,6]=>4 [1,3,2,4,7,6,5]=>9 [1,3,2,5,4,6,7]=>4 [1,3,2,5,4,7,6]=>9 [1,3,2,5,6,4,7]=>4 [1,3,2,5,6,7,4]=>4 [1,3,2,5,7,4,6]=>3 [1,3,2,5,7,6,4]=>8 [1,3,2,6,4,5,7]=>3 [1,3,2,6,4,7,5]=>8 [1,3,2,6,5,4,7]=>7 [1,3,2,6,5,7,4]=>7 [1,3,2,6,7,4,5]=>2 [1,3,2,6,7,5,4]=>7 [1,3,2,7,4,5,6]=>2 [1,3,2,7,4,6,5]=>7 [1,3,2,7,5,4,6]=>6 [1,3,2,7,5,6,4]=>6 [1,3,2,7,6,4,5]=>5 [1,3,2,7,6,5,4]=>10 [1,3,4,2,5,6,7]=>1 [1,3,4,2,5,7,6]=>6 [1,3,4,2,6,5,7]=>5 [1,3,4,2,6,7,5]=>5 [1,3,4,2,7,5,6]=>4 [1,3,4,2,7,6,5]=>9 [1,3,4,5,2,6,7]=>1 [1,3,4,5,2,7,6]=>6 [1,3,4,5,6,2,7]=>1 [1,3,4,5,6,7,2]=>1 [1,3,4,5,7,2,6]=>0 [1,3,4,5,7,6,2]=>5 [1,3,4,6,2,5,7]=>0 [1,3,4,6,2,7,5]=>5 [1,3,4,6,5,2,7]=>4 [1,3,4,6,5,7,2]=>4 [1,3,4,6,7,2,5]=>-1 [1,3,4,6,7,5,2]=>4 [1,3,4,7,2,5,6]=>-1 [1,3,4,7,2,6,5]=>4 [1,3,4,7,5,2,6]=>3 [1,3,4,7,5,6,2]=>3 [1,3,4,7,6,2,5]=>2 [1,3,4,7,6,5,2]=>7 [1,3,5,2,4,6,7]=>0 [1,3,5,2,4,7,6]=>5 [1,3,5,2,6,4,7]=>4 [1,3,5,2,6,7,4]=>4 [1,3,5,2,7,4,6]=>3 [1,3,5,2,7,6,4]=>8 [1,3,5,4,2,6,7]=>3 [1,3,5,4,2,7,6]=>8 [1,3,5,4,6,2,7]=>3 [1,3,5,4,6,7,2]=>3 [1,3,5,4,7,2,6]=>2 [1,3,5,4,7,6,2]=>7 [1,3,5,6,2,4,7]=>-1 [1,3,5,6,2,7,4]=>4 [1,3,5,6,4,2,7]=>3 [1,3,5,6,4,7,2]=>3 [1,3,5,6,7,2,4]=>-2 [1,3,5,6,7,4,2]=>3 [1,3,5,7,2,4,6]=>-2 [1,3,5,7,2,6,4]=>3 [1,3,5,7,4,2,6]=>2 [1,3,5,7,4,6,2]=>2 [1,3,5,7,6,2,4]=>1 [1,3,5,7,6,4,2]=>6 [1,3,6,2,4,5,7]=>-1 [1,3,6,2,4,7,5]=>4 [1,3,6,2,5,4,7]=>3 [1,3,6,2,5,7,4]=>3 [1,3,6,2,7,4,5]=>2 [1,3,6,2,7,5,4]=>7 [1,3,6,4,2,5,7]=>2 [1,3,6,4,2,7,5]=>7 [1,3,6,4,5,2,7]=>2 [1,3,6,4,5,7,2]=>2 [1,3,6,4,7,2,5]=>1 [1,3,6,4,7,5,2]=>6 [1,3,6,5,2,4,7]=>1 [1,3,6,5,2,7,4]=>6 [1,3,6,5,4,2,7]=>5 [1,3,6,5,4,7,2]=>5 [1,3,6,5,7,2,4]=>0 [1,3,6,5,7,4,2]=>5 [1,3,6,7,2,4,5]=>-3 [1,3,6,7,2,5,4]=>2 [1,3,6,7,4,2,5]=>1 [1,3,6,7,4,5,2]=>1 [1,3,6,7,5,2,4]=>0 [1,3,6,7,5,4,2]=>5 [1,3,7,2,4,5,6]=>-2 [1,3,7,2,4,6,5]=>3 [1,3,7,2,5,4,6]=>2 [1,3,7,2,5,6,4]=>2 [1,3,7,2,6,4,5]=>1 [1,3,7,2,6,5,4]=>6 [1,3,7,4,2,5,6]=>1 [1,3,7,4,2,6,5]=>6 [1,3,7,4,5,2,6]=>1 [1,3,7,4,5,6,2]=>1 [1,3,7,4,6,2,5]=>0 [1,3,7,4,6,5,2]=>5 [1,3,7,5,2,4,6]=>0 [1,3,7,5,2,6,4]=>5 [1,3,7,5,4,2,6]=>4 [1,3,7,5,4,6,2]=>4 [1,3,7,5,6,2,4]=>-1 [1,3,7,5,6,4,2]=>4 [1,3,7,6,2,4,5]=>-1 [1,3,7,6,2,5,4]=>4 [1,3,7,6,4,2,5]=>3 [1,3,7,6,4,5,2]=>3 [1,3,7,6,5,2,4]=>2 [1,3,7,6,5,4,2]=>7 [1,4,2,3,5,6,7]=>0 [1,4,2,3,5,7,6]=>5 [1,4,2,3,6,5,7]=>4 [1,4,2,3,6,7,5]=>4 [1,4,2,3,7,5,6]=>3 [1,4,2,3,7,6,5]=>8 [1,4,2,5,3,6,7]=>3 [1,4,2,5,3,7,6]=>8 [1,4,2,5,6,3,7]=>3 [1,4,2,5,6,7,3]=>3 [1,4,2,5,7,3,6]=>2 [1,4,2,5,7,6,3]=>7 [1,4,2,6,3,5,7]=>2 [1,4,2,6,3,7,5]=>7 [1,4,2,6,5,3,7]=>6 [1,4,2,6,5,7,3]=>6 [1,4,2,6,7,3,5]=>1 [1,4,2,6,7,5,3]=>6 [1,4,2,7,3,5,6]=>1 [1,4,2,7,3,6,5]=>6 [1,4,2,7,5,3,6]=>5 [1,4,2,7,5,6,3]=>5 [1,4,2,7,6,3,5]=>4 [1,4,2,7,6,5,3]=>9 [1,4,3,2,5,6,7]=>2 [1,4,3,2,5,7,6]=>7 [1,4,3,2,6,5,7]=>6 [1,4,3,2,6,7,5]=>6 [1,4,3,2,7,5,6]=>5 [1,4,3,2,7,6,5]=>10 [1,4,3,5,2,6,7]=>2 [1,4,3,5,2,7,6]=>7 [1,4,3,5,6,2,7]=>2 [1,4,3,5,6,7,2]=>2 [1,4,3,5,7,2,6]=>1 [1,4,3,5,7,6,2]=>6 [1,4,3,6,2,5,7]=>1 [1,4,3,6,2,7,5]=>6 [1,4,3,6,5,2,7]=>5 [1,4,3,6,5,7,2]=>5 [1,4,3,6,7,2,5]=>0 [1,4,3,6,7,5,2]=>5 [1,4,3,7,2,5,6]=>0 [1,4,3,7,2,6,5]=>5 [1,4,3,7,5,2,6]=>4 [1,4,3,7,5,6,2]=>4 [1,4,3,7,6,2,5]=>3 [1,4,3,7,6,5,2]=>8 [1,4,5,2,3,6,7]=>-1 [1,4,5,2,3,7,6]=>4 [1,4,5,2,6,3,7]=>3 [1,4,5,2,6,7,3]=>3 [1,4,5,2,7,3,6]=>2 [1,4,5,2,7,6,3]=>7 [1,4,5,3,2,6,7]=>2 [1,4,5,3,2,7,6]=>7 [1,4,5,3,6,2,7]=>2 [1,4,5,3,6,7,2]=>2 [1,4,5,3,7,2,6]=>1 [1,4,5,3,7,6,2]=>6 [1,4,5,6,2,3,7]=>-2 [1,4,5,6,2,7,3]=>3 [1,4,5,6,3,2,7]=>2 [1,4,5,6,3,7,2]=>2 [1,4,5,6,7,2,3]=>-3 [1,4,5,6,7,3,2]=>2 [1,4,5,7,2,3,6]=>-3 [1,4,5,7,2,6,3]=>2 [1,4,5,7,3,2,6]=>1 [1,4,5,7,3,6,2]=>1 [1,4,5,7,6,2,3]=>0 [1,4,5,7,6,3,2]=>5 [1,4,6,2,3,5,7]=>-2 [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]=>1 [1,4,6,2,7,5,3]=>6 [1,4,6,3,2,5,7]=>1 [1,4,6,3,2,7,5]=>6 [1,4,6,3,5,2,7]=>1 [1,4,6,3,5,7,2]=>1 [1,4,6,3,7,2,5]=>0 [1,4,6,3,7,5,2]=>5 [1,4,6,5,2,3,7]=>0 [1,4,6,5,2,7,3]=>5 [1,4,6,5,3,2,7]=>4
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Description
The major index minus the number of inversions of a permutation.
This is, the difference between St000004The major index of a permutation. and St000018The number of inversions of a permutation..
References
[1] Wachs, M. L. An involution for signed Eulerian numbers MathSciNet:1158780
Code
def statistic(pi):
    return pi.major_index() - pi.number_of_inversions()

Created
Mar 30, 2019 at 08:56 by Christian Stump
Updated
Mar 30, 2019 at 08:56 by Christian Stump