edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [-1]=>1 [1,2]=>0 [1,-2]=>2 [-1,2]=>1 [-1,-2]=>1 [2,1]=>0 [2,-1]=>2 [-2,1]=>1 [-2,-1]=>1 [1,2,3]=>0 [1,2,-3]=>2 [1,-2,3]=>2 [1,-2,-3]=>2 [-1,2,3]=>1 [-1,2,-3]=>3 [-1,-2,3]=>1 [-1,-2,-3]=>1 [1,3,2]=>0 [1,3,-2]=>2 [1,-3,2]=>2 [1,-3,-2]=>2 [-1,3,2]=>1 [-1,3,-2]=>3 [-1,-3,2]=>1 [-1,-3,-2]=>1 [2,1,3]=>0 [2,1,-3]=>2 [2,-1,3]=>2 [2,-1,-3]=>2 [-2,1,3]=>1 [-2,1,-3]=>3 [-2,-1,3]=>1 [-2,-1,-3]=>1 [2,3,1]=>0 [2,3,-1]=>2 [2,-3,1]=>2 [2,-3,-1]=>2 [-2,3,1]=>1 [-2,3,-1]=>3 [-2,-3,1]=>1 [-2,-3,-1]=>1 [3,1,2]=>0 [3,1,-2]=>2 [3,-1,2]=>2 [3,-1,-2]=>2 [-3,1,2]=>1 [-3,1,-2]=>3 [-3,-1,2]=>1 [-3,-1,-2]=>1 [3,2,1]=>0 [3,2,-1]=>2 [3,-2,1]=>2 [3,-2,-1]=>2 [-3,2,1]=>1 [-3,2,-1]=>3 [-3,-2,1]=>1 [-3,-2,-1]=>1 [1,2,3,4]=>0 [1,2,3,-4]=>2 [1,2,-3,4]=>2 [1,2,-3,-4]=>2 [1,-2,3,4]=>2 [1,-2,3,-4]=>4 [1,-2,-3,4]=>2 [1,-2,-3,-4]=>2 [-1,2,3,4]=>1 [-1,2,3,-4]=>3 [-1,2,-3,4]=>3 [-1,2,-3,-4]=>3 [-1,-2,3,4]=>1 [-1,-2,3,-4]=>3 [-1,-2,-3,4]=>1 [-1,-2,-3,-4]=>1 [1,2,4,3]=>0 [1,2,4,-3]=>2 [1,2,-4,3]=>2 [1,2,-4,-3]=>2 [1,-2,4,3]=>2 [1,-2,4,-3]=>4 [1,-2,-4,3]=>2 [1,-2,-4,-3]=>2 [-1,2,4,3]=>1 [-1,2,4,-3]=>3 [-1,2,-4,3]=>3 [-1,2,-4,-3]=>3 [-1,-2,4,3]=>1 [-1,-2,4,-3]=>3 [-1,-2,-4,3]=>1 [-1,-2,-4,-3]=>1 [1,3,2,4]=>0 [1,3,2,-4]=>2 [1,3,-2,4]=>2 [1,3,-2,-4]=>2 [1,-3,2,4]=>2 [1,-3,2,-4]=>4 [1,-3,-2,4]=>2 [1,-3,-2,-4]=>2 [-1,3,2,4]=>1 [-1,3,2,-4]=>3 [-1,3,-2,4]=>3 [-1,3,-2,-4]=>3 [-1,-3,2,4]=>1 [-1,-3,2,-4]=>3 [-1,-3,-2,4]=>1 [-1,-3,-2,-4]=>1 [1,3,4,2]=>0 [1,3,4,-2]=>2 [1,3,-4,2]=>2 [1,3,-4,-2]=>2 [1,-3,4,2]=>2 [1,-3,4,-2]=>4 [1,-3,-4,2]=>2 [1,-3,-4,-2]=>2 [-1,3,4,2]=>1 [-1,3,4,-2]=>3 [-1,3,-4,2]=>3 [-1,3,-4,-2]=>3 [-1,-3,4,2]=>1 [-1,-3,4,-2]=>3 [-1,-3,-4,2]=>1 [-1,-3,-4,-2]=>1 [1,4,2,3]=>0 [1,4,2,-3]=>2 [1,4,-2,3]=>2 [1,4,-2,-3]=>2 [1,-4,2,3]=>2 [1,-4,2,-3]=>4 [1,-4,-2,3]=>2 [1,-4,-2,-3]=>2 [-1,4,2,3]=>1 [-1,4,2,-3]=>3 [-1,4,-2,3]=>3 [-1,4,-2,-3]=>3 [-1,-4,2,3]=>1 [-1,-4,2,-3]=>3 [-1,-4,-2,3]=>1 [-1,-4,-2,-3]=>1 [1,4,3,2]=>0 [1,4,3,-2]=>2 [1,4,-3,2]=>2 [1,4,-3,-2]=>2 [1,-4,3,2]=>2 [1,-4,3,-2]=>4 [1,-4,-3,2]=>2 [1,-4,-3,-2]=>2 [-1,4,3,2]=>1 [-1,4,3,-2]=>3 [-1,4,-3,2]=>3 [-1,4,-3,-2]=>3 [-1,-4,3,2]=>1 [-1,-4,3,-2]=>3 [-1,-4,-3,2]=>1 [-1,-4,-3,-2]=>1 [2,1,3,4]=>0 [2,1,3,-4]=>2 [2,1,-3,4]=>2 [2,1,-3,-4]=>2 [2,-1,3,4]=>2 [2,-1,3,-4]=>4 [2,-1,-3,4]=>2 [2,-1,-3,-4]=>2 [-2,1,3,4]=>1 [-2,1,3,-4]=>3 [-2,1,-3,4]=>3 [-2,1,-3,-4]=>3 [-2,-1,3,4]=>1 [-2,-1,3,-4]=>3 [-2,-1,-3,4]=>1 [-2,-1,-3,-4]=>1 [2,1,4,3]=>0 [2,1,4,-3]=>2 [2,1,-4,3]=>2 [2,1,-4,-3]=>2 [2,-1,4,3]=>2 [2,-1,4,-3]=>4 [2,-1,-4,3]=>2 [2,-1,-4,-3]=>2 [-2,1,4,3]=>1 [-2,1,4,-3]=>3 [-2,1,-4,3]=>3 [-2,1,-4,-3]=>3 [-2,-1,4,3]=>1 [-2,-1,4,-3]=>3 [-2,-1,-4,3]=>1 [-2,-1,-4,-3]=>1 [2,3,1,4]=>0 [2,3,1,-4]=>2 [2,3,-1,4]=>2 [2,3,-1,-4]=>2 [2,-3,1,4]=>2 [2,-3,1,-4]=>4 [2,-3,-1,4]=>2 [2,-3,-1,-4]=>2 [-2,3,1,4]=>1 [-2,3,1,-4]=>3 [-2,3,-1,4]=>3 [-2,3,-1,-4]=>3 [-2,-3,1,4]=>1 [-2,-3,1,-4]=>3 [-2,-3,-1,4]=>1 [-2,-3,-1,-4]=>1 [2,3,4,1]=>0 [2,3,4,-1]=>2 [2,3,-4,1]=>2 [2,3,-4,-1]=>2 [2,-3,4,1]=>2 [2,-3,4,-1]=>4 [2,-3,-4,1]=>2 [2,-3,-4,-1]=>2 [-2,3,4,1]=>1 [-2,3,4,-1]=>3 [-2,3,-4,1]=>3 [-2,3,-4,-1]=>3 [-2,-3,4,1]=>1 [-2,-3,4,-1]=>3 [-2,-3,-4,1]=>1 [-2,-3,-4,-1]=>1 [2,4,1,3]=>0 [2,4,1,-3]=>2 [2,4,-1,3]=>2 [2,4,-1,-3]=>2 [2,-4,1,3]=>2 [2,-4,1,-3]=>4 [2,-4,-1,3]=>2 [2,-4,-1,-3]=>2 [-2,4,1,3]=>1 [-2,4,1,-3]=>3 [-2,4,-1,3]=>3 [-2,4,-1,-3]=>3 [-2,-4,1,3]=>1 [-2,-4,1,-3]=>3 [-2,-4,-1,3]=>1 [-2,-4,-1,-3]=>1 [2,4,3,1]=>0 [2,4,3,-1]=>2 [2,4,-3,1]=>2 [2,4,-3,-1]=>2 [2,-4,3,1]=>2 [2,-4,3,-1]=>4 [2,-4,-3,1]=>2 [2,-4,-3,-1]=>2 [-2,4,3,1]=>1 [-2,4,3,-1]=>3 [-2,4,-3,1]=>3 [-2,4,-3,-1]=>3 [-2,-4,3,1]=>1 [-2,-4,3,-1]=>3 [-2,-4,-3,1]=>1 [-2,-4,-3,-1]=>1 [3,1,2,4]=>0 [3,1,2,-4]=>2 [3,1,-2,4]=>2 [3,1,-2,-4]=>2 [3,-1,2,4]=>2 [3,-1,2,-4]=>4 [3,-1,-2,4]=>2 [3,-1,-2,-4]=>2 [-3,1,2,4]=>1 [-3,1,2,-4]=>3 [-3,1,-2,4]=>3 [-3,1,-2,-4]=>3 [-3,-1,2,4]=>1 [-3,-1,2,-4]=>3 [-3,-1,-2,4]=>1 [-3,-1,-2,-4]=>1 [3,1,4,2]=>0 [3,1,4,-2]=>2 [3,1,-4,2]=>2 [3,1,-4,-2]=>2 [3,-1,4,2]=>2 [3,-1,4,-2]=>4 [3,-1,-4,2]=>2 [3,-1,-4,-2]=>2 [-3,1,4,2]=>1 [-3,1,4,-2]=>3 [-3,1,-4,2]=>3 [-3,1,-4,-2]=>3 [-3,-1,4,2]=>1 [-3,-1,4,-2]=>3 [-3,-1,-4,2]=>1 [-3,-1,-4,-2]=>1 [3,2,1,4]=>0 [3,2,1,-4]=>2 [3,2,-1,4]=>2 [3,2,-1,-4]=>2 [3,-2,1,4]=>2 [3,-2,1,-4]=>4 [3,-2,-1,4]=>2 [3,-2,-1,-4]=>2 [-3,2,1,4]=>1 [-3,2,1,-4]=>3 [-3,2,-1,4]=>3 [-3,2,-1,-4]=>3 [-3,-2,1,4]=>1 [-3,-2,1,-4]=>3 [-3,-2,-1,4]=>1 [-3,-2,-1,-4]=>1 [3,2,4,1]=>0 [3,2,4,-1]=>2 [3,2,-4,1]=>2 [3,2,-4,-1]=>2 [3,-2,4,1]=>2 [3,-2,4,-1]=>4 [3,-2,-4,1]=>2 [3,-2,-4,-1]=>2 [-3,2,4,1]=>1 [-3,2,4,-1]=>3 [-3,2,-4,1]=>3 [-3,2,-4,-1]=>3 [-3,-2,4,1]=>1 [-3,-2,4,-1]=>3 [-3,-2,-4,1]=>1 [-3,-2,-4,-1]=>1 [3,4,1,2]=>0 [3,4,1,-2]=>2 [3,4,-1,2]=>2 [3,4,-1,-2]=>2 [3,-4,1,2]=>2 [3,-4,1,-2]=>4 [3,-4,-1,2]=>2 [3,-4,-1,-2]=>2 [-3,4,1,2]=>1 [-3,4,1,-2]=>3 [-3,4,-1,2]=>3 [-3,4,-1,-2]=>3 [-3,-4,1,2]=>1 [-3,-4,1,-2]=>3 [-3,-4,-1,2]=>1 [-3,-4,-1,-2]=>1 [3,4,2,1]=>0 [3,4,2,-1]=>2 [3,4,-2,1]=>2 [3,4,-2,-1]=>2 [3,-4,2,1]=>2 [3,-4,2,-1]=>4 [3,-4,-2,1]=>2 [3,-4,-2,-1]=>2 [-3,4,2,1]=>1 [-3,4,2,-1]=>3 [-3,4,-2,1]=>3 [-3,4,-2,-1]=>3 [-3,-4,2,1]=>1 [-3,-4,2,-1]=>3 [-3,-4,-2,1]=>1 [-3,-4,-2,-1]=>1 [4,1,2,3]=>0 [4,1,2,-3]=>2 [4,1,-2,3]=>2 [4,1,-2,-3]=>2 [4,-1,2,3]=>2 [4,-1,2,-3]=>4 [4,-1,-2,3]=>2 [4,-1,-2,-3]=>2 [-4,1,2,3]=>1 [-4,1,2,-3]=>3 [-4,1,-2,3]=>3 [-4,1,-2,-3]=>3 [-4,-1,2,3]=>1 [-4,-1,2,-3]=>3 [-4,-1,-2,3]=>1 [-4,-1,-2,-3]=>1 [4,1,3,2]=>0 [4,1,3,-2]=>2 [4,1,-3,2]=>2 [4,1,-3,-2]=>2 [4,-1,3,2]=>2 [4,-1,3,-2]=>4 [4,-1,-3,2]=>2 [4,-1,-3,-2]=>2 [-4,1,3,2]=>1 [-4,1,3,-2]=>3 [-4,1,-3,2]=>3 [-4,1,-3,-2]=>3 [-4,-1,3,2]=>1 [-4,-1,3,-2]=>3 [-4,-1,-3,2]=>1 [-4,-1,-3,-2]=>1 [4,2,1,3]=>0 [4,2,1,-3]=>2 [4,2,-1,3]=>2 [4,2,-1,-3]=>2 [4,-2,1,3]=>2 [4,-2,1,-3]=>4 [4,-2,-1,3]=>2 [4,-2,-1,-3]=>2 [-4,2,1,3]=>1 [-4,2,1,-3]=>3 [-4,2,-1,3]=>3 [-4,2,-1,-3]=>3 [-4,-2,1,3]=>1 [-4,-2,1,-3]=>3 [-4,-2,-1,3]=>1 [-4,-2,-1,-3]=>1 [4,2,3,1]=>0 [4,2,3,-1]=>2 [4,2,-3,1]=>2 [4,2,-3,-1]=>2 [4,-2,3,1]=>2 [4,-2,3,-1]=>4 [4,-2,-3,1]=>2 [4,-2,-3,-1]=>2 [-4,2,3,1]=>1 [-4,2,3,-1]=>3 [-4,2,-3,1]=>3 [-4,2,-3,-1]=>3 [-4,-2,3,1]=>1 [-4,-2,3,-1]=>3 [-4,-2,-3,1]=>1 [-4,-2,-3,-1]=>1 [4,3,1,2]=>0 [4,3,1,-2]=>2 [4,3,-1,2]=>2 [4,3,-1,-2]=>2 [4,-3,1,2]=>2 [4,-3,1,-2]=>4 [4,-3,-1,2]=>2 [4,-3,-1,-2]=>2 [-4,3,1,2]=>1 [-4,3,1,-2]=>3 [-4,3,-1,2]=>3 [-4,3,-1,-2]=>3 [-4,-3,1,2]=>1 [-4,-3,1,-2]=>3 [-4,-3,-1,2]=>1 [-4,-3,-1,-2]=>1 [4,3,2,1]=>0 [4,3,2,-1]=>2 [4,3,-2,1]=>2 [4,3,-2,-1]=>2 [4,-3,2,1]=>2 [4,-3,2,-1]=>4 [4,-3,-2,1]=>2 [4,-3,-2,-1]=>2 [-4,3,2,1]=>1 [-4,3,2,-1]=>3 [-4,3,-2,1]=>3 [-4,3,-2,-1]=>3 [-4,-3,2,1]=>1 [-4,-3,2,-1]=>3 [-4,-3,-2,1]=>1 [-4,-3,-2,-1]=>1 [1,2,3,4,5]=>0 [1,2,3,4,-5]=>2 [1,2,3,-4,5]=>2 [1,2,3,-4,-5]=>2 [1,2,-3,4,5]=>2 [1,2,-3,4,-5]=>4 [1,2,-3,-4,5]=>2 [1,2,-3,-4,-5]=>2 [1,-2,3,4,5]=>2 [1,-2,3,4,-5]=>4 [1,-2,3,-4,5]=>4 [1,-2,3,-4,-5]=>4 [1,-2,-3,4,5]=>2 [1,-2,-3,4,-5]=>4 [1,-2,-3,-4,5]=>2 [1,-2,-3,-4,-5]=>2 [-1,2,3,4,5]=>1 [-1,2,3,4,-5]=>3 [-1,2,3,-4,5]=>3 [-1,2,3,-4,-5]=>3 [-1,2,-3,4,5]=>3 [-1,2,-3,4,-5]=>5 [-1,2,-3,-4,5]=>3 [-1,2,-3,-4,-5]=>3 [-1,-2,3,4,5]=>1 [-1,-2,3,4,-5]=>3 [-1,-2,3,-4,5]=>3 [-1,-2,3,-4,-5]=>3 [-1,-2,-3,4,5]=>1 [-1,-2,-3,4,-5]=>3 [-1,-2,-3,-4,5]=>1 [-1,-2,-3,-4,-5]=>1 [1,2,3,5,4]=>0 [1,2,3,5,-4]=>2 [1,2,3,-5,4]=>2 [1,2,3,-5,-4]=>2 [1,2,-3,5,4]=>2 [1,2,-3,5,-4]=>4 [1,2,-3,-5,4]=>2 [1,2,-3,-5,-4]=>2 [1,-2,3,5,4]=>2 [1,-2,3,5,-4]=>4 [1,-2,3,-5,4]=>4 [1,-2,3,-5,-4]=>4 [1,-2,-3,5,4]=>2 [1,-2,-3,5,-4]=>4 [1,-2,-3,-5,4]=>2 [1,-2,-3,-5,-4]=>2 [-1,2,3,5,4]=>1 [-1,2,3,5,-4]=>3 [-1,2,3,-5,4]=>3 [-1,2,3,-5,-4]=>3 [-1,2,-3,5,4]=>3 [-1,2,-3,5,-4]=>5 [-1,2,-3,-5,4]=>3 [-1,2,-3,-5,-4]=>3 [-1,-2,3,5,4]=>1 [-1,-2,3,5,-4]=>3 [-1,-2,3,-5,4]=>3 [-1,-2,3,-5,-4]=>3 [-1,-2,-3,5,4]=>1 [-1,-2,-3,5,-4]=>3 [-1,-2,-3,-5,4]=>1 [-1,-2,-3,-5,-4]=>1 [1,2,4,3,5]=>0 [1,2,4,3,-5]=>2 [1,2,4,-3,5]=>2 [1,2,4,-3,-5]=>2 [1,2,-4,3,5]=>2 [1,2,-4,3,-5]=>4 [1,2,-4,-3,5]=>2 [1,2,-4,-3,-5]=>2 [1,-2,4,3,5]=>2 [1,-2,4,3,-5]=>4 [1,-2,4,-3,5]=>4 [1,-2,4,-3,-5]=>4 [1,-2,-4,3,5]=>2 [1,-2,-4,3,-5]=>4 [1,-2,-4,-3,5]=>2 [1,-2,-4,-3,-5]=>2 [-1,2,4,3,5]=>1 [-1,2,4,3,-5]=>3 [-1,2,4,-3,5]=>3 [-1,2,4,-3,-5]=>3 [-1,2,-4,3,5]=>3 [-1,2,-4,3,-5]=>5 [-1,2,-4,-3,5]=>3 [-1,2,-4,-3,-5]=>3 [-1,-2,4,3,5]=>1 [-1,-2,4,3,-5]=>3 [-1,-2,4,-3,5]=>3 [-1,-2,4,-3,-5]=>3 [-1,-2,-4,3,5]=>1 [-1,-2,-4,3,-5]=>3 [-1,-2,-4,-3,5]=>1 [-1,-2,-4,-3,-5]=>1 [1,2,4,5,3]=>0 [1,2,4,5,-3]=>2 [1,2,4,-5,3]=>2 [1,2,4,-5,-3]=>2 [1,2,-4,5,3]=>2 [1,2,-4,5,-3]=>4 [1,2,-4,-5,3]=>2 [1,2,-4,-5,-3]=>2 [1,-2,4,5,3]=>2 [1,-2,4,5,-3]=>4 [1,-2,4,-5,3]=>4 [1,-2,4,-5,-3]=>4 [1,-2,-4,5,3]=>2 [1,-2,-4,5,-3]=>4 [1,-2,-4,-5,3]=>2 [1,-2,-4,-5,-3]=>2 [-1,2,4,5,3]=>1 [-1,2,4,5,-3]=>3 [-1,2,4,-5,3]=>3 [-1,2,4,-5,-3]=>3 [-1,2,-4,5,3]=>3 [-1,2,-4,5,-3]=>5 [-1,2,-4,-5,3]=>3 [-1,2,-4,-5,-3]=>3 [-1,-2,4,5,3]=>1 [-1,-2,4,5,-3]=>3 [-1,-2,4,-5,3]=>3 [-1,-2,4,-5,-3]=>3 [-1,-2,-4,5,3]=>1 [-1,-2,-4,5,-3]=>3 [-1,-2,-4,-5,3]=>1 [-1,-2,-4,-5,-3]=>1 [1,2,5,3,4]=>0 [1,2,5,3,-4]=>2 [1,2,5,-3,4]=>2 [1,2,5,-3,-4]=>2 [1,2,-5,3,4]=>2 [1,2,-5,3,-4]=>4 [1,2,-5,-3,4]=>2 [1,2,-5,-3,-4]=>2 [1,-2,5,3,4]=>2 [1,-2,5,3,-4]=>4 [1,-2,5,-3,4]=>4 [1,-2,5,-3,-4]=>4 [1,-2,-5,3,4]=>2 [1,-2,-5,3,-4]=>4 [1,-2,-5,-3,4]=>2 [1,-2,-5,-3,-4]=>2 [-1,2,5,3,4]=>1 [-1,2,5,3,-4]=>3 [-1,2,5,-3,4]=>3 [-1,2,5,-3,-4]=>3 [-1,2,-5,3,4]=>3 [-1,2,-5,3,-4]=>5 [-1,2,-5,-3,4]=>3 [-1,2,-5,-3,-4]=>3 [-1,-2,5,3,4]=>1 [-1,-2,5,3,-4]=>3 [-1,-2,5,-3,4]=>3 [-1,-2,5,-3,-4]=>3 [-1,-2,-5,3,4]=>1 [-1,-2,-5,3,-4]=>3 [-1,-2,-5,-3,4]=>1 [-1,-2,-5,-3,-4]=>1 [1,2,5,4,3]=>0 [1,2,5,4,-3]=>2 [1,2,5,-4,3]=>2 [1,2,5,-4,-3]=>2 [1,2,-5,4,3]=>2 [1,2,-5,4,-3]=>4 [1,2,-5,-4,3]=>2 [1,2,-5,-4,-3]=>2 [1,-2,5,4,3]=>2 [1,-2,5,4,-3]=>4 [1,-2,5,-4,3]=>4 [1,-2,5,-4,-3]=>4 [1,-2,-5,4,3]=>2 [1,-2,-5,4,-3]=>4 [1,-2,-5,-4,3]=>2 [1,-2,-5,-4,-3]=>2 [-1,2,5,4,3]=>1 [-1,2,5,4,-3]=>3 [-1,2,5,-4,3]=>3 [-1,2,5,-4,-3]=>3 [-1,2,-5,4,3]=>3 [-1,2,-5,4,-3]=>5 [-1,2,-5,-4,3]=>3 [-1,2,-5,-4,-3]=>3 [-1,-2,5,4,3]=>1 [-1,-2,5,4,-3]=>3 [-1,-2,5,-4,3]=>3 [-1,-2,5,-4,-3]=>3 [-1,-2,-5,4,3]=>1 [-1,-2,-5,4,-3]=>3 [-1,-2,-5,-4,3]=>1 [-1,-2,-5,-4,-3]=>1 [1,3,2,4,5]=>0 [1,3,2,4,-5]=>2 [1,3,2,-4,5]=>2 [1,3,2,-4,-5]=>2 [1,3,-2,4,5]=>2 [1,3,-2,4,-5]=>4 [1,3,-2,-4,5]=>2 [1,3,-2,-4,-5]=>2 [1,-3,2,4,5]=>2 [1,-3,2,4,-5]=>4 [1,-3,2,-4,5]=>4 [1,-3,2,-4,-5]=>4 [1,-3,-2,4,5]=>2 [1,-3,-2,4,-5]=>4 [1,-3,-2,-4,5]=>2 [1,-3,-2,-4,-5]=>2 [-1,3,2,4,5]=>1 [-1,3,2,4,-5]=>3 [-1,3,2,-4,5]=>3 [-1,3,2,-4,-5]=>3 [-1,3,-2,4,5]=>3 [-1,3,-2,4,-5]=>5 [-1,3,-2,-4,5]=>3 [-1,3,-2,-4,-5]=>3 [-1,-3,2,4,5]=>1 [-1,-3,2,4,-5]=>3 [-1,-3,2,-4,5]=>3 [-1,-3,2,-4,-5]=>3 [-1,-3,-2,4,5]=>1 [-1,-3,-2,4,-5]=>3 [-1,-3,-2,-4,5]=>1 [-1,-3,-2,-4,-5]=>1 [1,3,2,5,4]=>0 [1,3,2,5,-4]=>2 [1,3,2,-5,4]=>2 [1,3,2,-5,-4]=>2 [1,3,-2,5,4]=>2 [1,3,-2,5,-4]=>4 [1,3,-2,-5,4]=>2 [1,3,-2,-5,-4]=>2 [1,-3,2,5,4]=>2 [1,-3,2,5,-4]=>4 [1,-3,2,-5,4]=>4 [1,-3,2,-5,-4]=>4 [1,-3,-2,5,4]=>2 [1,-3,-2,5,-4]=>4 [1,-3,-2,-5,4]=>2 [1,-3,-2,-5,-4]=>2 [-1,3,2,5,4]=>1 [-1,3,2,5,-4]=>3 [-1,3,2,-5,4]=>3 [-1,3,2,-5,-4]=>3 [-1,3,-2,5,4]=>3 [-1,3,-2,5,-4]=>5 [-1,3,-2,-5,4]=>3 [-1,3,-2,-5,-4]=>3 [-1,-3,2,5,4]=>1 [-1,-3,2,5,-4]=>3 [-1,-3,2,-5,4]=>3 [-1,-3,2,-5,-4]=>3 [-1,-3,-2,5,4]=>1 [-1,-3,-2,5,-4]=>3 [-1,-3,-2,-5,4]=>1 [-1,-3,-2,-5,-4]=>1 [1,3,4,2,5]=>0 [1,3,4,2,-5]=>2 [1,3,4,-2,5]=>2 [1,3,4,-2,-5]=>2 [1,3,-4,2,5]=>2 [1,3,-4,2,-5]=>4 [1,3,-4,-2,5]=>2 [1,3,-4,-2,-5]=>2 [1,-3,4,2,5]=>2 [1,-3,4,2,-5]=>4 [1,-3,4,-2,5]=>4 [1,-3,4,-2,-5]=>4 [1,-3,-4,2,5]=>2 [1,-3,-4,2,-5]=>4 [1,-3,-4,-2,5]=>2 [1,-3,-4,-2,-5]=>2 [-1,3,4,2,5]=>1 [-1,3,4,2,-5]=>3 [-1,3,4,-2,5]=>3 [-1,3,4,-2,-5]=>3 [-1,3,-4,2,5]=>3 [-1,3,-4,2,-5]=>5 [-1,3,-4,-2,5]=>3 [-1,3,-4,-2,-5]=>3 [-1,-3,4,2,5]=>1 [-1,-3,4,2,-5]=>3 [-1,-3,4,-2,5]=>3 [-1,-3,4,-2,-5]=>3 [-1,-3,-4,2,5]=>1 [-1,-3,-4,2,-5]=>3 [-1,-3,-4,-2,5]=>1 [-1,-3,-4,-2,-5]=>1 [1,3,4,5,2]=>0 [1,3,4,5,-2]=>2 [1,3,4,-5,2]=>2 [1,3,4,-5,-2]=>2 [1,3,-4,5,2]=>2 [1,3,-4,5,-2]=>4 [1,3,-4,-5,2]=>2 [1,3,-4,-5,-2]=>2 [1,-3,4,5,2]=>2 [1,-3,4,5,-2]=>4 [1,-3,4,-5,2]=>4 [1,-3,4,-5,-2]=>4 [1,-3,-4,5,2]=>2 [1,-3,-4,5,-2]=>4 [1,-3,-4,-5,2]=>2 [1,-3,-4,-5,-2]=>2 [-1,3,4,5,2]=>1 [-1,3,4,5,-2]=>3 [-1,3,4,-5,2]=>3 [-1,3,4,-5,-2]=>3 [-1,3,-4,5,2]=>3 [-1,3,-4,5,-2]=>5 [-1,3,-4,-5,2]=>3 [-1,3,-4,-5,-2]=>3 [-1,-3,4,5,2]=>1 [-1,-3,4,5,-2]=>3 [-1,-3,4,-5,2]=>3 [-1,-3,4,-5,-2]=>3 [-1,-3,-4,5,2]=>1 [-1,-3,-4,5,-2]=>3 [-1,-3,-4,-5,2]=>1 [-1,-3,-4,-5,-2]=>1 [1,3,5,2,4]=>0 [1,3,5,2,-4]=>2 [1,3,5,-2,4]=>2 [1,3,5,-2,-4]=>2 [1,3,-5,2,4]=>2 [1,3,-5,2,-4]=>4 [1,3,-5,-2,4]=>2 [1,3,-5,-2,-4]=>2 [1,-3,5,2,4]=>2 [1,-3,5,2,-4]=>4 [1,-3,5,-2,4]=>4 [1,-3,5,-2,-4]=>4 [1,-3,-5,2,4]=>2 [1,-3,-5,2,-4]=>4 [1,-3,-5,-2,4]=>2 [1,-3,-5,-2,-4]=>2 [-1,3,5,2,4]=>1 [-1,3,5,2,-4]=>3 [-1,3,5,-2,4]=>3 [-1,3,5,-2,-4]=>3 [-1,3,-5,2,4]=>3 [-1,3,-5,2,-4]=>5 [-1,3,-5,-2,4]=>3 [-1,3,-5,-2,-4]=>3 [-1,-3,5,2,4]=>1 [-1,-3,5,2,-4]=>3 [-1,-3,5,-2,4]=>3 [-1,-3,5,-2,-4]=>3 [-1,-3,-5,2,4]=>1 [-1,-3,-5,2,-4]=>3 [-1,-3,-5,-2,4]=>1 [-1,-3,-5,-2,-4]=>1 [1,3,5,4,2]=>0 [1,3,5,4,-2]=>2 [1,3,5,-4,2]=>2 [1,3,5,-4,-2]=>2 [1,3,-5,4,2]=>2 [1,3,-5,4,-2]=>4 [1,3,-5,-4,2]=>2 [1,3,-5,-4,-2]=>2 [1,-3,5,4,2]=>2 [1,-3,5,4,-2]=>4 [1,-3,5,-4,2]=>4 [1,-3,5,-4,-2]=>4 [1,-3,-5,4,2]=>2 [1,-3,-5,4,-2]=>4 [1,-3,-5,-4,2]=>2 [1,-3,-5,-4,-2]=>2 [-1,3,5,4,2]=>1 [-1,3,5,4,-2]=>3 [-1,3,5,-4,2]=>3 [-1,3,5,-4,-2]=>3 [-1,3,-5,4,2]=>3 [-1,3,-5,4,-2]=>5 [-1,3,-5,-4,2]=>3 [-1,3,-5,-4,-2]=>3 [-1,-3,5,4,2]=>1 [-1,-3,5,4,-2]=>3 [-1,-3,5,-4,2]=>3 [-1,-3,5,-4,-2]=>3 [-1,-3,-5,4,2]=>1 [-1,-3,-5,4,-2]=>3 [-1,-3,-5,-4,2]=>1 [-1,-3,-5,-4,-2]=>1 [1,4,2,3,5]=>0 [1,4,2,3,-5]=>2 [1,4,2,-3,5]=>2 [1,4,2,-3,-5]=>2 [1,4,-2,3,5]=>2 [1,4,-2,3,-5]=>4 [1,4,-2,-3,5]=>2 [1,4,-2,-3,-5]=>2 [1,-4,2,3,5]=>2 [1,-4,2,3,-5]=>4 [1,-4,2,-3,5]=>4 [1,-4,2,-3,-5]=>4 [1,-4,-2,3,5]=>2 [1,-4,-2,3,-5]=>4 [1,-4,-2,-3,5]=>2 [1,-4,-2,-3,-5]=>2 [-1,4,2,3,5]=>1 [-1,4,2,3,-5]=>3 [-1,4,2,-3,5]=>3 [-1,4,2,-3,-5]=>3 [-1,4,-2,3,5]=>3 [-1,4,-2,3,-5]=>5 [-1,4,-2,-3,5]=>3 [-1,4,-2,-3,-5]=>3 [-1,-4,2,3,5]=>1 [-1,-4,2,3,-5]=>3 [-1,-4,2,-3,5]=>3 [-1,-4,2,-3,-5]=>3 [-1,-4,-2,3,5]=>1 [-1,-4,-2,3,-5]=>3 [-1,-4,-2,-3,5]=>1 [-1,-4,-2,-3,-5]=>1 [1,4,2,5,3]=>0 [1,4,2,5,-3]=>2 [1,4,2,-5,3]=>2 [1,4,2,-5,-3]=>2 [1,4,-2,5,3]=>2 [1,4,-2,5,-3]=>4 [1,4,-2,-5,3]=>2 [1,4,-2,-5,-3]=>2 [1,-4,2,5,3]=>2 [1,-4,2,5,-3]=>4 [1,-4,2,-5,3]=>4 [1,-4,2,-5,-3]=>4 [1,-4,-2,5,3]=>2 [1,-4,-2,5,-3]=>4 [1,-4,-2,-5,3]=>2 [1,-4,-2,-5,-3]=>2 [-1,4,2,5,3]=>1 [-1,4,2,5,-3]=>3 [-1,4,2,-5,3]=>3 [-1,4,2,-5,-3]=>3 [-1,4,-2,5,3]=>3 [-1,4,-2,5,-3]=>5 [-1,4,-2,-5,3]=>3 [-1,4,-2,-5,-3]=>3 [-1,-4,2,5,3]=>1 [-1,-4,2,5,-3]=>3 [-1,-4,2,-5,3]=>3 [-1,-4,2,-5,-3]=>3 [-1,-4,-2,5,3]=>1 [-1,-4,-2,5,-3]=>3 [-1,-4,-2,-5,3]=>1 [-1,-4,-2,-5,-3]=>1 [1,4,3,2,5]=>0 [1,4,3,2,-5]=>2 [1,4,3,-2,5]=>2 [1,4,3,-2,-5]=>2 [1,4,-3,2,5]=>2 [1,4,-3,2,-5]=>4 [1,4,-3,-2,5]=>2 [1,4,-3,-2,-5]=>2 [1,-4,3,2,5]=>2 [1,-4,3,2,-5]=>4 [1,-4,3,-2,5]=>4 [1,-4,3,-2,-5]=>4 [1,-4,-3,2,5]=>2 [1,-4,-3,2,-5]=>4 [1,-4,-3,-2,5]=>2 [1,-4,-3,-2,-5]=>2 [-1,4,3,2,5]=>1 [-1,4,3,2,-5]=>3 [-1,4,3,-2,5]=>3 [-1,4,3,-2,-5]=>3 [-1,4,-3,2,5]=>3 [-1,4,-3,2,-5]=>5 [-1,4,-3,-2,5]=>3 [-1,4,-3,-2,-5]=>3 [-1,-4,3,2,5]=>1 [-1,-4,3,2,-5]=>3 [-1,-4,3,-2,5]=>3 [-1,-4,3,-2,-5]=>3 [-1,-4,-3,2,5]=>1 [-1,-4,-3,2,-5]=>3 [-1,-4,-3,-2,5]=>1 [-1,-4,-3,-2,-5]=>1 [1,4,3,5,2]=>0 [1,4,3,5,-2]=>2 [1,4,3,-5,2]=>2 [1,4,3,-5,-2]=>2 [1,4,-3,5,2]=>2 [1,4,-3,5,-2]=>4 [1,4,-3,-5,2]=>2 [1,4,-3,-5,-2]=>2 [1,-4,3,5,2]=>2 [1,-4,3,5,-2]=>4 [1,-4,3,-5,2]=>4 [1,-4,3,-5,-2]=>4 [1,-4,-3,5,2]=>2 [1,-4,-3,5,-2]=>4 [1,-4,-3,-5,2]=>2 [1,-4,-3,-5,-2]=>2 [-1,4,3,5,2]=>1 [-1,4,3,5,-2]=>3 [-1,4,3,-5,2]=>3 [-1,4,3,-5,-2]=>3 [-1,4,-3,5,2]=>3 [-1,4,-3,5,-2]=>5 [-1,4,-3,-5,2]=>3 [-1,4,-3,-5,-2]=>3 [-1,-4,3,5,2]=>1 [-1,-4,3,5,-2]=>3 [-1,-4,3,-5,2]=>3 [-1,-4,3,-5,-2]=>3 [-1,-4,-3,5,2]=>1 [-1,-4,-3,5,-2]=>3 [-1,-4,-3,-5,2]=>1 [-1,-4,-3,-5,-2]=>1 [1,4,5,2,3]=>0 [1,4,5,2,-3]=>2 [1,4,5,-2,3]=>2 [1,4,5,-2,-3]=>2 [1,4,-5,2,3]=>2 [1,4,-5,2,-3]=>4 [1,4,-5,-2,3]=>2 [1,4,-5,-2,-3]=>2 [1,-4,5,2,3]=>2 [1,-4,5,2,-3]=>4 [1,-4,5,-2,3]=>4 [1,-4,5,-2,-3]=>4 [1,-4,-5,2,3]=>2 [1,-4,-5,2,-3]=>4 [1,-4,-5,-2,3]=>2 [1,-4,-5,-2,-3]=>2 [-1,4,5,2,3]=>1 [-1,4,5,2,-3]=>3 [-1,4,5,-2,3]=>3 [-1,4,5,-2,-3]=>3 [-1,4,-5,2,3]=>3 [-1,4,-5,2,-3]=>5 [-1,4,-5,-2,3]=>3 [-1,4,-5,-2,-3]=>3 [-1,-4,5,2,3]=>1 [-1,-4,5,2,-3]=>3 [-1,-4,5,-2,3]=>3 [-1,-4,5,-2,-3]=>3 [-1,-4,-5,2,3]=>1 [-1,-4,-5,2,-3]=>3 [-1,-4,-5,-2,3]=>1 [-1,-4,-5,-2,-3]=>1 [1,4,5,3,2]=>0 [1,4,5,3,-2]=>2 [1,4,5,-3,2]=>2 [1,4,5,-3,-2]=>2 [1,4,-5,3,2]=>2 [1,4,-5,3,-2]=>4 [1,4,-5,-3,2]=>2 [1,4,-5,-3,-2]=>2 [1,-4,5,3,2]=>2 [1,-4,5,3,-2]=>4 [1,-4,5,-3,2]=>4 [1,-4,5,-3,-2]=>4 [1,-4,-5,3,2]=>2 [1,-4,-5,3,-2]=>4 [1,-4,-5,-3,2]=>2 [1,-4,-5,-3,-2]=>2 [-1,4,5,3,2]=>1 [-1,4,5,3,-2]=>3 [-1,4,5,-3,2]=>3 [-1,4,5,-3,-2]=>3 [-1,4,-5,3,2]=>3 [-1,4,-5,3,-2]=>5 [-1,4,-5,-3,2]=>3 [-1,4,-5,-3,-2]=>3 [-1,-4,5,3,2]=>1 [-1,-4,5,3,-2]=>3 [-1,-4,5,-3,2]=>3 [-1,-4,5,-3,-2]=>3 [-1,-4,-5,3,2]=>1 [-1,-4,-5,3,-2]=>3 [-1,-4,-5,-3,2]=>1 [-1,-4,-5,-3,-2]=>1 [1,5,2,3,4]=>0 [1,5,2,3,-4]=>2 [1,5,2,-3,4]=>2 [1,5,2,-3,-4]=>2 [1,5,-2,3,4]=>2 [1,5,-2,3,-4]=>4 [1,5,-2,-3,4]=>2 [1,5,-2,-3,-4]=>2 [1,-5,2,3,4]=>2 [1,-5,2,3,-4]=>4 [1,-5,2,-3,4]=>4 [1,-5,2,-3,-4]=>4 [1,-5,-2,3,4]=>2 [1,-5,-2,3,-4]=>4 [1,-5,-2,-3,4]=>2 [1,-5,-2,-3,-4]=>2 [-1,5,2,3,4]=>1 [-1,5,2,3,-4]=>3 [-1,5,2,-3,4]=>3 [-1,5,2,-3,-4]=>3 [-1,5,-2,3,4]=>3 [-1,5,-2,3,-4]=>5 [-1,5,-2,-3,4]=>3 [-1,5,-2,-3,-4]=>3 [-1,-5,2,3,4]=>1 [-1,-5,2,3,-4]=>3 [-1,-5,2,-3,4]=>3 [-1,-5,2,-3,-4]=>3 [-1,-5,-2,3,4]=>1 [-1,-5,-2,3,-4]=>3 [-1,-5,-2,-3,4]=>1 [-1,-5,-2,-3,-4]=>1 [1,5,2,4,3]=>0 [1,5,2,4,-3]=>2 [1,5,2,-4,3]=>2 [1,5,2,-4,-3]=>2 [1,5,-2,4,3]=>2 [1,5,-2,4,-3]=>4 [1,5,-2,-4,3]=>2 [1,5,-2,-4,-3]=>2 [1,-5,2,4,3]=>2 [1,-5,2,4,-3]=>4 [1,-5,2,-4,3]=>4 [1,-5,2,-4,-3]=>4 [1,-5,-2,4,3]=>2 [1,-5,-2,4,-3]=>4 [1,-5,-2,-4,3]=>2 [1,-5,-2,-4,-3]=>2 [-1,5,2,4,3]=>1 [-1,5,2,4,-3]=>3 [-1,5,2,-4,3]=>3 [-1,5,2,-4,-3]=>3 [-1,5,-2,4,3]=>3 [-1,5,-2,4,-3]=>5 [-1,5,-2,-4,3]=>3 [-1,5,-2,-4,-3]=>3 [-1,-5,2,4,3]=>1 [-1,-5,2,4,-3]=>3 [-1,-5,2,-4,3]=>3 [-1,-5,2,-4,-3]=>3 [-1,-5,-2,4,3]=>1 [-1,-5,-2,4,-3]=>3 [-1,-5,-2,-4,3]=>1 [-1,-5,-2,-4,-3]=>1 [1,5,3,2,4]=>0 [1,5,3,2,-4]=>2 [1,5,3,-2,4]=>2 [1,5,3,-2,-4]=>2 [1,5,-3,2,4]=>2 [1,5,-3,2,-4]=>4 [1,5,-3,-2,4]=>2 [1,5,-3,-2,-4]=>2 [1,-5,3,2,4]=>2 [1,-5,3,2,-4]=>4 [1,-5,3,-2,4]=>4 [1,-5,3,-2,-4]=>4 [1,-5,-3,2,4]=>2 [1,-5,-3,2,-4]=>4 [1,-5,-3,-2,4]=>2 [1,-5,-3,-2,-4]=>2 [-1,5,3,2,4]=>1 [-1,5,3,2,-4]=>3 [-1,5,3,-2,4]=>3 [-1,5,3,-2,-4]=>3 [-1,5,-3,2,4]=>3 [-1,5,-3,2,-4]=>5 [-1,5,-3,-2,4]=>3 [-1,5,-3,-2,-4]=>3 [-1,-5,3,2,4]=>1 [-1,-5,3,2,-4]=>3 [-1,-5,3,-2,4]=>3 [-1,-5,3,-2,-4]=>3 [-1,-5,-3,2,4]=>1 [-1,-5,-3,2,-4]=>3 [-1,-5,-3,-2,4]=>1 [-1,-5,-3,-2,-4]=>1 [1,5,3,4,2]=>0 [1,5,3,4,-2]=>2 [1,5,3,-4,2]=>2 [1,5,3,-4,-2]=>2 [1,5,-3,4,2]=>2 [1,5,-3,4,-2]=>4 [1,5,-3,-4,2]=>2 [1,5,-3,-4,-2]=>2 [1,-5,3,4,2]=>2 [1,-5,3,4,-2]=>4 [1,-5,3,-4,2]=>4 [1,-5,3,-4,-2]=>4 [1,-5,-3,4,2]=>2 [1,-5,-3,4,-2]=>4 [1,-5,-3,-4,2]=>2 [1,-5,-3,-4,-2]=>2 [-1,5,3,4,2]=>1 [-1,5,3,4,-2]=>3 [-1,5,3,-4,2]=>3 [-1,5,3,-4,-2]=>3 [-1,5,-3,4,2]=>3 [-1,5,-3,4,-2]=>5 [-1,5,-3,-4,2]=>3 [-1,5,-3,-4,-2]=>3 [-1,-5,3,4,2]=>1 [-1,-5,3,4,-2]=>3 [-1,-5,3,-4,2]=>3 [-1,-5,3,-4,-2]=>3 [-1,-5,-3,4,2]=>1 [-1,-5,-3,4,-2]=>3 [-1,-5,-3,-4,2]=>1 [-1,-5,-3,-4,-2]=>1 [1,5,4,2,3]=>0 [1,5,4,2,-3]=>2 [1,5,4,-2,3]=>2 [1,5,4,-2,-3]=>2 [1,5,-4,2,3]=>2 [1,5,-4,2,-3]=>4 [1,5,-4,-2,3]=>2 [1,5,-4,-2,-3]=>2 [1,-5,4,2,3]=>2 [1,-5,4,2,-3]=>4 [1,-5,4,-2,3]=>4 [1,-5,4,-2,-3]=>4 [1,-5,-4,2,3]=>2 [1,-5,-4,2,-3]=>4 [1,-5,-4,-2,3]=>2 [1,-5,-4,-2,-3]=>2 [-1,5,4,2,3]=>1 [-1,5,4,2,-3]=>3 [-1,5,4,-2,3]=>3 [-1,5,4,-2,-3]=>3 [-1,5,-4,2,3]=>3 [-1,5,-4,2,-3]=>5 [-1,5,-4,-2,3]=>3 [-1,5,-4,-2,-3]=>3 [-1,-5,4,2,3]=>1 [-1,-5,4,2,-3]=>3 [-1,-5,4,-2,3]=>3 [-1,-5,4,-2,-3]=>3 [-1,-5,-4,2,3]=>1 [-1,-5,-4,2,-3]=>3 [-1,-5,-4,-2,3]=>1 [-1,-5,-4,-2,-3]=>1 [1,5,4,3,2]=>0 [1,5,4,3,-2]=>2 [1,5,4,-3,2]=>2 [1,5,4,-3,-2]=>2 [1,5,-4,3,2]=>2 [1,5,-4,3,-2]=>4 [1,5,-4,-3,2]=>2 [1,5,-4,-3,-2]=>2 [1,-5,4,3,2]=>2 [1,-5,4,3,-2]=>4 [1,-5,4,-3,2]=>4 [1,-5,4,-3,-2]=>4 [1,-5,-4,3,2]=>2 [1,-5,-4,3,-2]=>4 [1,-5,-4,-3,2]=>2 [1,-5,-4,-3,-2]=>2 [-1,5,4,3,2]=>1 [-1,5,4,3,-2]=>3 [-1,5,4,-3,2]=>3 [-1,5,4,-3,-2]=>3 [-1,5,-4,3,2]=>3 [-1,5,-4,3,-2]=>5
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Description
The number of positive entries followed by a negative entry in a signed permutation.
For a signed permutation $\pi\in\mathfrak H_n$, this is the number of positive entries followed by a negative entry in $\pi(-n),\dots,\pi(-1),\pi(1),\dots,\pi(n)$.
References
[1] Corteel, S., Josuat-Verg├Ęs, M., Kim, J. S. Crossings of signed permutations and $q$-Eulerian numbers of type $B$ MathSciNet:3096133
Code
def statistic(pi):
    return sum(1 for i in range(-len(pi), len(pi)) if (i != -1 and i != 0 and pi(i) > 0 and pi(i+1) < 0) or (i == -1 and pi(-1) > 0 and pi(1) < 0))

Created
Dec 01, 2022 at 16:31 by Martin Rubey
Updated
Dec 01, 2022 at 16:31 by Martin Rubey