edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [-1]=>1 [1,2]=>0 [1,-2]=>1 [-1,2]=>1 [-1,-2]=>1 [2,1]=>1 [2,-1]=>2 [-2,1]=>1 [-2,-1]=>1 [1,2,3]=>0 [1,2,-3]=>1 [1,-2,3]=>1 [1,-2,-3]=>1 [-1,2,3]=>1 [-1,2,-3]=>1 [-1,-2,3]=>1 [-1,-2,-3]=>2 [1,3,2]=>1 [1,3,-2]=>2 [1,-3,2]=>1 [1,-3,-2]=>1 [-1,3,2]=>2 [-1,3,-2]=>2 [-1,-3,2]=>1 [-1,-3,-2]=>2 [2,1,3]=>1 [2,1,-3]=>2 [2,-1,3]=>2 [2,-1,-3]=>2 [-2,1,3]=>1 [-2,1,-3]=>1 [-2,-1,3]=>1 [-2,-1,-3]=>2 [2,3,1]=>2 [2,3,-1]=>3 [2,-3,1]=>2 [2,-3,-1]=>2 [-2,3,1]=>2 [-2,3,-1]=>2 [-2,-3,1]=>1 [-2,-3,-1]=>2 [3,1,2]=>1 [3,1,-2]=>2 [3,-1,2]=>2 [3,-1,-2]=>2 [-3,1,2]=>1 [-3,1,-2]=>1 [-3,-1,2]=>1 [-3,-1,-2]=>2 [3,2,1]=>1 [3,2,-1]=>2 [3,-2,1]=>2 [3,-2,-1]=>2 [-3,2,1]=>1 [-3,2,-1]=>1 [-3,-2,1]=>1 [-3,-2,-1]=>2 [1,2,3,4]=>0 [1,2,3,-4]=>1 [1,2,-3,4]=>1 [1,2,-3,-4]=>1 [1,-2,3,4]=>1 [1,-2,3,-4]=>1 [1,-2,-3,4]=>1 [1,-2,-3,-4]=>2 [-1,2,3,4]=>1 [-1,2,3,-4]=>1 [-1,2,-3,4]=>1 [-1,2,-3,-4]=>2 [-1,-2,3,4]=>1 [-1,-2,3,-4]=>2 [-1,-2,-3,4]=>2 [-1,-2,-3,-4]=>2 [1,2,4,3]=>1 [1,2,4,-3]=>2 [1,2,-4,3]=>1 [1,2,-4,-3]=>1 [1,-2,4,3]=>2 [1,-2,4,-3]=>2 [1,-2,-4,3]=>1 [1,-2,-4,-3]=>2 [-1,2,4,3]=>2 [-1,2,4,-3]=>2 [-1,2,-4,3]=>1 [-1,2,-4,-3]=>2 [-1,-2,4,3]=>2 [-1,-2,4,-3]=>3 [-1,-2,-4,3]=>2 [-1,-2,-4,-3]=>2 [1,3,2,4]=>1 [1,3,2,-4]=>2 [1,3,-2,4]=>2 [1,3,-2,-4]=>2 [1,-3,2,4]=>1 [1,-3,2,-4]=>1 [1,-3,-2,4]=>1 [1,-3,-2,-4]=>2 [-1,3,2,4]=>2 [-1,3,2,-4]=>2 [-1,3,-2,4]=>2 [-1,3,-2,-4]=>3 [-1,-3,2,4]=>1 [-1,-3,2,-4]=>2 [-1,-3,-2,4]=>2 [-1,-3,-2,-4]=>2 [1,3,4,2]=>2 [1,3,4,-2]=>3 [1,3,-4,2]=>2 [1,3,-4,-2]=>2 [1,-3,4,2]=>2 [1,-3,4,-2]=>2 [1,-3,-4,2]=>1 [1,-3,-4,-2]=>2 [-1,3,4,2]=>3 [-1,3,4,-2]=>3 [-1,3,-4,2]=>2 [-1,3,-4,-2]=>3 [-1,-3,4,2]=>2 [-1,-3,4,-2]=>3 [-1,-3,-4,2]=>2 [-1,-3,-4,-2]=>2 [1,4,2,3]=>1 [1,4,2,-3]=>2 [1,4,-2,3]=>2 [1,4,-2,-3]=>2 [1,-4,2,3]=>1 [1,-4,2,-3]=>1 [1,-4,-2,3]=>1 [1,-4,-2,-3]=>2 [-1,4,2,3]=>2 [-1,4,2,-3]=>2 [-1,4,-2,3]=>2 [-1,4,-2,-3]=>3 [-1,-4,2,3]=>1 [-1,-4,2,-3]=>2 [-1,-4,-2,3]=>2 [-1,-4,-2,-3]=>2 [1,4,3,2]=>1 [1,4,3,-2]=>2 [1,4,-3,2]=>2 [1,4,-3,-2]=>2 [1,-4,3,2]=>1 [1,-4,3,-2]=>1 [1,-4,-3,2]=>1 [1,-4,-3,-2]=>2 [-1,4,3,2]=>2 [-1,4,3,-2]=>2 [-1,4,-3,2]=>2 [-1,4,-3,-2]=>3 [-1,-4,3,2]=>1 [-1,-4,3,-2]=>2 [-1,-4,-3,2]=>2 [-1,-4,-3,-2]=>2 [2,1,3,4]=>1 [2,1,3,-4]=>2 [2,1,-3,4]=>2 [2,1,-3,-4]=>2 [2,-1,3,4]=>2 [2,-1,3,-4]=>2 [2,-1,-3,4]=>2 [2,-1,-3,-4]=>3 [-2,1,3,4]=>1 [-2,1,3,-4]=>1 [-2,1,-3,4]=>1 [-2,1,-3,-4]=>2 [-2,-1,3,4]=>1 [-2,-1,3,-4]=>2 [-2,-1,-3,4]=>2 [-2,-1,-3,-4]=>2 [2,1,4,3]=>2 [2,1,4,-3]=>3 [2,1,-4,3]=>2 [2,1,-4,-3]=>2 [2,-1,4,3]=>3 [2,-1,4,-3]=>3 [2,-1,-4,3]=>2 [2,-1,-4,-3]=>3 [-2,1,4,3]=>2 [-2,1,4,-3]=>2 [-2,1,-4,3]=>1 [-2,1,-4,-3]=>2 [-2,-1,4,3]=>2 [-2,-1,4,-3]=>3 [-2,-1,-4,3]=>2 [-2,-1,-4,-3]=>2 [2,3,1,4]=>2 [2,3,1,-4]=>3 [2,3,-1,4]=>3 [2,3,-1,-4]=>3 [2,-3,1,4]=>2 [2,-3,1,-4]=>2 [2,-3,-1,4]=>2 [2,-3,-1,-4]=>3 [-2,3,1,4]=>2 [-2,3,1,-4]=>2 [-2,3,-1,4]=>2 [-2,3,-1,-4]=>3 [-2,-3,1,4]=>1 [-2,-3,1,-4]=>2 [-2,-3,-1,4]=>2 [-2,-3,-1,-4]=>2 [2,3,4,1]=>3 [2,3,4,-1]=>4 [2,3,-4,1]=>3 [2,3,-4,-1]=>3 [2,-3,4,1]=>3 [2,-3,4,-1]=>3 [2,-3,-4,1]=>2 [2,-3,-4,-1]=>3 [-2,3,4,1]=>3 [-2,3,4,-1]=>3 [-2,3,-4,1]=>2 [-2,3,-4,-1]=>3 [-2,-3,4,1]=>2 [-2,-3,4,-1]=>3 [-2,-3,-4,1]=>2 [-2,-3,-4,-1]=>2 [2,4,1,3]=>2 [2,4,1,-3]=>3 [2,4,-1,3]=>3 [2,4,-1,-3]=>3 [2,-4,1,3]=>2 [2,-4,1,-3]=>2 [2,-4,-1,3]=>2 [2,-4,-1,-3]=>3 [-2,4,1,3]=>2 [-2,4,1,-3]=>2 [-2,4,-1,3]=>2 [-2,4,-1,-3]=>3 [-2,-4,1,3]=>1 [-2,-4,1,-3]=>2 [-2,-4,-1,3]=>2 [-2,-4,-1,-3]=>2 [2,4,3,1]=>2 [2,4,3,-1]=>3 [2,4,-3,1]=>3 [2,4,-3,-1]=>3 [2,-4,3,1]=>2 [2,-4,3,-1]=>2 [2,-4,-3,1]=>2 [2,-4,-3,-1]=>3 [-2,4,3,1]=>2 [-2,4,3,-1]=>2 [-2,4,-3,1]=>2 [-2,4,-3,-1]=>3 [-2,-4,3,1]=>1 [-2,-4,3,-1]=>2 [-2,-4,-3,1]=>2 [-2,-4,-3,-1]=>2 [3,1,2,4]=>1 [3,1,2,-4]=>2 [3,1,-2,4]=>2 [3,1,-2,-4]=>2 [3,-1,2,4]=>2 [3,-1,2,-4]=>2 [3,-1,-2,4]=>2 [3,-1,-2,-4]=>3 [-3,1,2,4]=>1 [-3,1,2,-4]=>1 [-3,1,-2,4]=>1 [-3,1,-2,-4]=>2 [-3,-1,2,4]=>1 [-3,-1,2,-4]=>2 [-3,-1,-2,4]=>2 [-3,-1,-2,-4]=>2 [3,1,4,2]=>2 [3,1,4,-2]=>3 [3,1,-4,2]=>2 [3,1,-4,-2]=>2 [3,-1,4,2]=>3 [3,-1,4,-2]=>3 [3,-1,-4,2]=>2 [3,-1,-4,-2]=>3 [-3,1,4,2]=>2 [-3,1,4,-2]=>2 [-3,1,-4,2]=>1 [-3,1,-4,-2]=>2 [-3,-1,4,2]=>2 [-3,-1,4,-2]=>3 [-3,-1,-4,2]=>2 [-3,-1,-4,-2]=>2 [3,2,1,4]=>1 [3,2,1,-4]=>2 [3,2,-1,4]=>2 [3,2,-1,-4]=>2 [3,-2,1,4]=>2 [3,-2,1,-4]=>2 [3,-2,-1,4]=>2 [3,-2,-1,-4]=>3 [-3,2,1,4]=>1 [-3,2,1,-4]=>1 [-3,2,-1,4]=>1 [-3,2,-1,-4]=>2 [-3,-2,1,4]=>1 [-3,-2,1,-4]=>2 [-3,-2,-1,4]=>2 [-3,-2,-1,-4]=>2 [3,2,4,1]=>2 [3,2,4,-1]=>3 [3,2,-4,1]=>2 [3,2,-4,-1]=>2 [3,-2,4,1]=>3 [3,-2,4,-1]=>3 [3,-2,-4,1]=>2 [3,-2,-4,-1]=>3 [-3,2,4,1]=>2 [-3,2,4,-1]=>2 [-3,2,-4,1]=>1 [-3,2,-4,-1]=>2 [-3,-2,4,1]=>2 [-3,-2,4,-1]=>3 [-3,-2,-4,1]=>2 [-3,-2,-4,-1]=>2 [3,4,1,2]=>2 [3,4,1,-2]=>3 [3,4,-1,2]=>3 [3,4,-1,-2]=>3 [3,-4,1,2]=>2 [3,-4,1,-2]=>2 [3,-4,-1,2]=>2 [3,-4,-1,-2]=>3 [-3,4,1,2]=>2 [-3,4,1,-2]=>2 [-3,4,-1,2]=>2 [-3,4,-1,-2]=>3 [-3,-4,1,2]=>1 [-3,-4,1,-2]=>2 [-3,-4,-1,2]=>2 [-3,-4,-1,-2]=>2 [3,4,2,1]=>2 [3,4,2,-1]=>3 [3,4,-2,1]=>3 [3,4,-2,-1]=>3 [3,-4,2,1]=>2 [3,-4,2,-1]=>2 [3,-4,-2,1]=>2 [3,-4,-2,-1]=>3 [-3,4,2,1]=>2 [-3,4,2,-1]=>2 [-3,4,-2,1]=>2 [-3,4,-2,-1]=>3 [-3,-4,2,1]=>1 [-3,-4,2,-1]=>2 [-3,-4,-2,1]=>2 [-3,-4,-2,-1]=>2 [4,1,2,3]=>1 [4,1,2,-3]=>2 [4,1,-2,3]=>2 [4,1,-2,-3]=>2 [4,-1,2,3]=>2 [4,-1,2,-3]=>2 [4,-1,-2,3]=>2 [4,-1,-2,-3]=>3 [-4,1,2,3]=>1 [-4,1,2,-3]=>1 [-4,1,-2,3]=>1 [-4,1,-2,-3]=>2 [-4,-1,2,3]=>1 [-4,-1,2,-3]=>2 [-4,-1,-2,3]=>2 [-4,-1,-2,-3]=>2 [4,1,3,2]=>1 [4,1,3,-2]=>2 [4,1,-3,2]=>2 [4,1,-3,-2]=>2 [4,-1,3,2]=>2 [4,-1,3,-2]=>2 [4,-1,-3,2]=>2 [4,-1,-3,-2]=>3 [-4,1,3,2]=>1 [-4,1,3,-2]=>1 [-4,1,-3,2]=>1 [-4,1,-3,-2]=>2 [-4,-1,3,2]=>1 [-4,-1,3,-2]=>2 [-4,-1,-3,2]=>2 [-4,-1,-3,-2]=>2 [4,2,1,3]=>1 [4,2,1,-3]=>2 [4,2,-1,3]=>2 [4,2,-1,-3]=>2 [4,-2,1,3]=>2 [4,-2,1,-3]=>2 [4,-2,-1,3]=>2 [4,-2,-1,-3]=>3 [-4,2,1,3]=>1 [-4,2,1,-3]=>1 [-4,2,-1,3]=>1 [-4,2,-1,-3]=>2 [-4,-2,1,3]=>1 [-4,-2,1,-3]=>2 [-4,-2,-1,3]=>2 [-4,-2,-1,-3]=>2 [4,2,3,1]=>1 [4,2,3,-1]=>2 [4,2,-3,1]=>2 [4,2,-3,-1]=>2 [4,-2,3,1]=>2 [4,-2,3,-1]=>2 [4,-2,-3,1]=>2 [4,-2,-3,-1]=>3 [-4,2,3,1]=>1 [-4,2,3,-1]=>1 [-4,2,-3,1]=>1 [-4,2,-3,-1]=>2 [-4,-2,3,1]=>1 [-4,-2,3,-1]=>2 [-4,-2,-3,1]=>2 [-4,-2,-3,-1]=>2 [4,3,1,2]=>2 [4,3,1,-2]=>3 [4,3,-1,2]=>3 [4,3,-1,-2]=>3 [4,-3,1,2]=>2 [4,-3,1,-2]=>2 [4,-3,-1,2]=>2 [4,-3,-1,-2]=>3 [-4,3,1,2]=>2 [-4,3,1,-2]=>2 [-4,3,-1,2]=>2 [-4,3,-1,-2]=>3 [-4,-3,1,2]=>1 [-4,-3,1,-2]=>2 [-4,-3,-1,2]=>2 [-4,-3,-1,-2]=>2 [4,3,2,1]=>2 [4,3,2,-1]=>3 [4,3,-2,1]=>3 [4,3,-2,-1]=>3 [4,-3,2,1]=>2 [4,-3,2,-1]=>2 [4,-3,-2,1]=>2 [4,-3,-2,-1]=>3 [-4,3,2,1]=>2 [-4,3,2,-1]=>2 [-4,3,-2,1]=>2 [-4,3,-2,-1]=>3 [-4,-3,2,1]=>1 [-4,-3,2,-1]=>2 [-4,-3,-2,1]=>2 [-4,-3,-2,-1]=>2 [1,2,3,4,5]=>0 [1,2,3,4,-5]=>1 [1,2,3,-4,5]=>1 [1,2,3,-4,-5]=>1 [1,2,-3,4,5]=>1 [1,2,-3,4,-5]=>1 [1,2,-3,-4,5]=>1 [1,2,-3,-4,-5]=>2 [1,-2,3,4,5]=>1 [1,-2,3,4,-5]=>1 [1,-2,3,-4,5]=>1 [1,-2,3,-4,-5]=>2 [1,-2,-3,4,5]=>1 [1,-2,-3,4,-5]=>2 [1,-2,-3,-4,5]=>2 [1,-2,-3,-4,-5]=>2 [-1,2,3,4,5]=>1 [-1,2,3,4,-5]=>1 [-1,2,3,-4,5]=>1 [-1,2,3,-4,-5]=>2 [-1,2,-3,4,5]=>1 [-1,2,-3,4,-5]=>2 [-1,2,-3,-4,5]=>2 [-1,2,-3,-4,-5]=>2 [-1,-2,3,4,5]=>1 [-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]=>2 [-1,-2,-3,-4,5]=>2 [-1,-2,-3,-4,-5]=>3 [1,2,3,5,4]=>1 [1,2,3,5,-4]=>2 [1,2,3,-5,4]=>1 [1,2,3,-5,-4]=>1 [1,2,-3,5,4]=>2 [1,2,-3,5,-4]=>2 [1,2,-3,-5,4]=>1 [1,2,-3,-5,-4]=>2 [1,-2,3,5,4]=>2 [1,-2,3,5,-4]=>2 [1,-2,3,-5,4]=>1 [1,-2,3,-5,-4]=>2 [1,-2,-3,5,4]=>2 [1,-2,-3,5,-4]=>3 [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]=>1 [-1,2,3,-5,-4]=>2 [-1,2,-3,5,4]=>2 [-1,2,-3,5,-4]=>3 [-1,2,-3,-5,4]=>2 [-1,2,-3,-5,-4]=>2 [-1,-2,3,5,4]=>2 [-1,-2,3,5,-4]=>3 [-1,-2,3,-5,4]=>2 [-1,-2,3,-5,-4]=>2 [-1,-2,-3,5,4]=>3 [-1,-2,-3,5,-4]=>3 [-1,-2,-3,-5,4]=>2 [-1,-2,-3,-5,-4]=>3 [1,2,4,3,5]=>1 [1,2,4,3,-5]=>2 [1,2,4,-3,5]=>2 [1,2,4,-3,-5]=>2 [1,2,-4,3,5]=>1 [1,2,-4,3,-5]=>1 [1,2,-4,-3,5]=>1 [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]=>3 [1,-2,-4,3,5]=>1 [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]=>2 [-1,2,4,-3,5]=>2 [-1,2,4,-3,-5]=>3 [-1,2,-4,3,5]=>1 [-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]=>3 [-1,-2,4,-3,5]=>3 [-1,-2,4,-3,-5]=>3 [-1,-2,-4,3,5]=>2 [-1,-2,-4,3,-5]=>2 [-1,-2,-4,-3,5]=>2 [-1,-2,-4,-3,-5]=>3 [1,2,4,5,3]=>2 [1,2,4,5,-3]=>3 [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]=>1 [1,2,-4,-5,-3]=>2 [1,-2,4,5,3]=>3 [1,-2,4,5,-3]=>3 [1,-2,4,-5,3]=>2 [1,-2,4,-5,-3]=>3 [1,-2,-4,5,3]=>2 [1,-2,-4,5,-3]=>3 [1,-2,-4,-5,3]=>2 [1,-2,-4,-5,-3]=>2 [-1,2,4,5,3]=>3 [-1,2,4,5,-3]=>3 [-1,2,4,-5,3]=>2 [-1,2,4,-5,-3]=>3 [-1,2,-4,5,3]=>2 [-1,2,-4,5,-3]=>3 [-1,2,-4,-5,3]=>2 [-1,2,-4,-5,-3]=>2 [-1,-2,4,5,3]=>3 [-1,-2,4,5,-3]=>4 [-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]=>2 [-1,-2,-4,-5,-3]=>3 [1,2,5,3,4]=>1 [1,2,5,3,-4]=>2 [1,2,5,-3,4]=>2 [1,2,5,-3,-4]=>2 [1,2,-5,3,4]=>1 [1,2,-5,3,-4]=>1 [1,2,-5,-3,4]=>1 [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]=>3 [1,-2,-5,3,4]=>1 [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]=>2 [-1,2,5,-3,4]=>2 [-1,2,5,-3,-4]=>3 [-1,2,-5,3,4]=>1 [-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]=>3 [-1,-2,5,-3,4]=>3 [-1,-2,5,-3,-4]=>3 [-1,-2,-5,3,4]=>2 [-1,-2,-5,3,-4]=>2 [-1,-2,-5,-3,4]=>2 [-1,-2,-5,-3,-4]=>3 [1,2,5,4,3]=>1 [1,2,5,4,-3]=>2 [1,2,5,-4,3]=>2 [1,2,5,-4,-3]=>2 [1,2,-5,4,3]=>1 [1,2,-5,4,-3]=>1 [1,2,-5,-4,3]=>1 [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]=>3 [1,-2,-5,4,3]=>1 [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]=>2 [-1,2,5,-4,3]=>2 [-1,2,5,-4,-3]=>3 [-1,2,-5,4,3]=>1 [-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]=>3 [-1,-2,5,-4,3]=>3 [-1,-2,5,-4,-3]=>3 [-1,-2,-5,4,3]=>2 [-1,-2,-5,4,-3]=>2 [-1,-2,-5,-4,3]=>2 [-1,-2,-5,-4,-3]=>3 [1,3,2,4,5]=>1 [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]=>2 [1,3,-2,-4,5]=>2 [1,3,-2,-4,-5]=>3 [1,-3,2,4,5]=>1 [1,-3,2,4,-5]=>1 [1,-3,2,-4,5]=>1 [1,-3,2,-4,-5]=>2 [1,-3,-2,4,5]=>1 [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]=>2 [-1,3,2,-4,5]=>2 [-1,3,2,-4,-5]=>3 [-1,3,-2,4,5]=>2 [-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]=>2 [-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]=>2 [-1,-3,-2,-4,-5]=>3 [1,3,2,5,4]=>2 [1,3,2,5,-4]=>3 [1,3,2,-5,4]=>2 [1,3,2,-5,-4]=>2 [1,3,-2,5,4]=>3 [1,3,-2,5,-4]=>3 [1,3,-2,-5,4]=>2 [1,3,-2,-5,-4]=>3 [1,-3,2,5,4]=>2 [1,-3,2,5,-4]=>2 [1,-3,2,-5,4]=>1 [1,-3,2,-5,-4]=>2 [1,-3,-2,5,4]=>2 [1,-3,-2,5,-4]=>3 [1,-3,-2,-5,4]=>2 [1,-3,-2,-5,-4]=>2 [-1,3,2,5,4]=>3 [-1,3,2,5,-4]=>3 [-1,3,2,-5,4]=>2 [-1,3,2,-5,-4]=>3 [-1,3,-2,5,4]=>3 [-1,3,-2,5,-4]=>4 [-1,3,-2,-5,4]=>3 [-1,3,-2,-5,-4]=>3 [-1,-3,2,5,4]=>2 [-1,-3,2,5,-4]=>3 [-1,-3,2,-5,4]=>2 [-1,-3,2,-5,-4]=>2 [-1,-3,-2,5,4]=>3 [-1,-3,-2,5,-4]=>3 [-1,-3,-2,-5,4]=>2 [-1,-3,-2,-5,-4]=>3 [1,3,4,2,5]=>2 [1,3,4,2,-5]=>3 [1,3,4,-2,5]=>3 [1,3,4,-2,-5]=>3 [1,3,-4,2,5]=>2 [1,3,-4,2,-5]=>2 [1,3,-4,-2,5]=>2 [1,3,-4,-2,-5]=>3 [1,-3,4,2,5]=>2 [1,-3,4,2,-5]=>2 [1,-3,4,-2,5]=>2 [1,-3,4,-2,-5]=>3 [1,-3,-4,2,5]=>1 [1,-3,-4,2,-5]=>2 [1,-3,-4,-2,5]=>2 [1,-3,-4,-2,-5]=>2 [-1,3,4,2,5]=>3 [-1,3,4,2,-5]=>3 [-1,3,4,-2,5]=>3 [-1,3,4,-2,-5]=>4 [-1,3,-4,2,5]=>2 [-1,3,-4,2,-5]=>3 [-1,3,-4,-2,5]=>3 [-1,3,-4,-2,-5]=>3 [-1,-3,4,2,5]=>2 [-1,-3,4,2,-5]=>3 [-1,-3,4,-2,5]=>3 [-1,-3,4,-2,-5]=>3 [-1,-3,-4,2,5]=>2 [-1,-3,-4,2,-5]=>2 [-1,-3,-4,-2,5]=>2 [-1,-3,-4,-2,-5]=>3 [1,3,4,5,2]=>3 [1,3,4,5,-2]=>4 [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]=>2 [1,3,-4,-5,-2]=>3 [1,-3,4,5,2]=>3 [1,-3,4,5,-2]=>3 [1,-3,4,-5,2]=>2 [1,-3,4,-5,-2]=>3 [1,-3,-4,5,2]=>2 [1,-3,-4,5,-2]=>3 [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]=>3 [-1,3,4,-5,-2]=>4 [-1,3,-4,5,2]=>3 [-1,3,-4,5,-2]=>4 [-1,3,-4,-5,2]=>3 [-1,3,-4,-5,-2]=>3 [-1,-3,4,5,2]=>3 [-1,-3,4,5,-2]=>4 [-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]=>2 [-1,-3,-4,-5,-2]=>3 [1,3,5,2,4]=>2 [1,3,5,2,-4]=>3 [1,3,5,-2,4]=>3 [1,3,5,-2,-4]=>3 [1,3,-5,2,4]=>2 [1,3,-5,2,-4]=>2 [1,3,-5,-2,4]=>2 [1,3,-5,-2,-4]=>3 [1,-3,5,2,4]=>2 [1,-3,5,2,-4]=>2 [1,-3,5,-2,4]=>2 [1,-3,5,-2,-4]=>3 [1,-3,-5,2,4]=>1 [1,-3,-5,2,-4]=>2 [1,-3,-5,-2,4]=>2 [1,-3,-5,-2,-4]=>2 [-1,3,5,2,4]=>3 [-1,3,5,2,-4]=>3 [-1,3,5,-2,4]=>3 [-1,3,5,-2,-4]=>4 [-1,3,-5,2,4]=>2 [-1,3,-5,2,-4]=>3 [-1,3,-5,-2,4]=>3 [-1,3,-5,-2,-4]=>3 [-1,-3,5,2,4]=>2 [-1,-3,5,2,-4]=>3 [-1,-3,5,-2,4]=>3 [-1,-3,5,-2,-4]=>3 [-1,-3,-5,2,4]=>2 [-1,-3,-5,2,-4]=>2 [-1,-3,-5,-2,4]=>2 [-1,-3,-5,-2,-4]=>3 [1,3,5,4,2]=>2 [1,3,5,4,-2]=>3 [1,3,5,-4,2]=>3 [1,3,5,-4,-2]=>3 [1,3,-5,4,2]=>2 [1,3,-5,4,-2]=>2 [1,3,-5,-4,2]=>2 [1,3,-5,-4,-2]=>3 [1,-3,5,4,2]=>2 [1,-3,5,4,-2]=>2 [1,-3,5,-4,2]=>2 [1,-3,5,-4,-2]=>3 [1,-3,-5,4,2]=>1 [1,-3,-5,4,-2]=>2 [1,-3,-5,-4,2]=>2 [1,-3,-5,-4,-2]=>2 [-1,3,5,4,2]=>3 [-1,3,5,4,-2]=>3 [-1,3,5,-4,2]=>3 [-1,3,5,-4,-2]=>4 [-1,3,-5,4,2]=>2 [-1,3,-5,4,-2]=>3 [-1,3,-5,-4,2]=>3 [-1,3,-5,-4,-2]=>3 [-1,-3,5,4,2]=>2 [-1,-3,5,4,-2]=>3 [-1,-3,5,-4,2]=>3 [-1,-3,5,-4,-2]=>3 [-1,-3,-5,4,2]=>2 [-1,-3,-5,4,-2]=>2 [-1,-3,-5,-4,2]=>2 [-1,-3,-5,-4,-2]=>3 [1,4,2,3,5]=>1 [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]=>2 [1,4,-2,-3,5]=>2 [1,4,-2,-3,-5]=>3 [1,-4,2,3,5]=>1 [1,-4,2,3,-5]=>1 [1,-4,2,-3,5]=>1 [1,-4,2,-3,-5]=>2 [1,-4,-2,3,5]=>1 [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]=>2 [-1,4,2,-3,5]=>2 [-1,4,2,-3,-5]=>3 [-1,4,-2,3,5]=>2 [-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]=>2 [-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]=>2 [-1,-4,-2,-3,-5]=>3 [1,4,2,5,3]=>2 [1,4,2,5,-3]=>3 [1,4,2,-5,3]=>2 [1,4,2,-5,-3]=>2 [1,4,-2,5,3]=>3 [1,4,-2,5,-3]=>3 [1,4,-2,-5,3]=>2 [1,4,-2,-5,-3]=>3 [1,-4,2,5,3]=>2 [1,-4,2,5,-3]=>2 [1,-4,2,-5,3]=>1 [1,-4,2,-5,-3]=>2 [1,-4,-2,5,3]=>2 [1,-4,-2,5,-3]=>3 [1,-4,-2,-5,3]=>2 [1,-4,-2,-5,-3]=>2 [-1,4,2,5,3]=>3 [-1,4,2,5,-3]=>3 [-1,4,2,-5,3]=>2 [-1,4,2,-5,-3]=>3 [-1,4,-2,5,3]=>3 [-1,4,-2,5,-3]=>4 [-1,4,-2,-5,3]=>3 [-1,4,-2,-5,-3]=>3 [-1,-4,2,5,3]=>2 [-1,-4,2,5,-3]=>3 [-1,-4,2,-5,3]=>2 [-1,-4,2,-5,-3]=>2 [-1,-4,-2,5,3]=>3 [-1,-4,-2,5,-3]=>3 [-1,-4,-2,-5,3]=>2 [-1,-4,-2,-5,-3]=>3 [1,4,3,2,5]=>1 [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]=>2 [1,4,-3,-2,5]=>2 [1,4,-3,-2,-5]=>3 [1,-4,3,2,5]=>1 [1,-4,3,2,-5]=>1 [1,-4,3,-2,5]=>1 [1,-4,3,-2,-5]=>2 [1,-4,-3,2,5]=>1 [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]=>2 [-1,4,3,-2,5]=>2 [-1,4,3,-2,-5]=>3 [-1,4,-3,2,5]=>2 [-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]=>2 [-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]=>2 [-1,-4,-3,-2,-5]=>3 [1,4,3,5,2]=>2 [1,4,3,5,-2]=>3 [1,4,3,-5,2]=>2 [1,4,3,-5,-2]=>2 [1,4,-3,5,2]=>3 [1,4,-3,5,-2]=>3 [1,4,-3,-5,2]=>2 [1,4,-3,-5,-2]=>3 [1,-4,3,5,2]=>2 [1,-4,3,5,-2]=>2 [1,-4,3,-5,2]=>1 [1,-4,3,-5,-2]=>2 [1,-4,-3,5,2]=>2 [1,-4,-3,5,-2]=>3 [1,-4,-3,-5,2]=>2 [1,-4,-3,-5,-2]=>2 [-1,4,3,5,2]=>3 [-1,4,3,5,-2]=>3 [-1,4,3,-5,2]=>2 [-1,4,3,-5,-2]=>3 [-1,4,-3,5,2]=>3 [-1,4,-3,5,-2]=>4 [-1,4,-3,-5,2]=>3 [-1,4,-3,-5,-2]=>3 [-1,-4,3,5,2]=>2 [-1,-4,3,5,-2]=>3 [-1,-4,3,-5,2]=>2 [-1,-4,3,-5,-2]=>2 [-1,-4,-3,5,2]=>3 [-1,-4,-3,5,-2]=>3 [-1,-4,-3,-5,2]=>2 [-1,-4,-3,-5,-2]=>3 [1,4,5,2,3]=>2 [1,4,5,2,-3]=>3 [1,4,5,-2,3]=>3 [1,4,5,-2,-3]=>3 [1,4,-5,2,3]=>2 [1,4,-5,2,-3]=>2 [1,4,-5,-2,3]=>2 [1,4,-5,-2,-3]=>3 [1,-4,5,2,3]=>2 [1,-4,5,2,-3]=>2 [1,-4,5,-2,3]=>2 [1,-4,5,-2,-3]=>3 [1,-4,-5,2,3]=>1 [1,-4,-5,2,-3]=>2 [1,-4,-5,-2,3]=>2 [1,-4,-5,-2,-3]=>2 [-1,4,5,2,3]=>3 [-1,4,5,2,-3]=>3 [-1,4,5,-2,3]=>3 [-1,4,5,-2,-3]=>4 [-1,4,-5,2,3]=>2 [-1,4,-5,2,-3]=>3 [-1,4,-5,-2,3]=>3 [-1,4,-5,-2,-3]=>3 [-1,-4,5,2,3]=>2 [-1,-4,5,2,-3]=>3 [-1,-4,5,-2,3]=>3 [-1,-4,5,-2,-3]=>3 [-1,-4,-5,2,3]=>2 [-1,-4,-5,2,-3]=>2 [-1,-4,-5,-2,3]=>2 [-1,-4,-5,-2,-3]=>3 [1,4,5,3,2]=>2 [1,4,5,3,-2]=>3 [1,4,5,-3,2]=>3 [1,4,5,-3,-2]=>3 [1,4,-5,3,2]=>2 [1,4,-5,3,-2]=>2 [1,4,-5,-3,2]=>2 [1,4,-5,-3,-2]=>3 [1,-4,5,3,2]=>2 [1,-4,5,3,-2]=>2 [1,-4,5,-3,2]=>2 [1,-4,5,-3,-2]=>3 [1,-4,-5,3,2]=>1 [1,-4,-5,3,-2]=>2 [1,-4,-5,-3,2]=>2 [1,-4,-5,-3,-2]=>2 [-1,4,5,3,2]=>3 [-1,4,5,3,-2]=>3 [-1,4,5,-3,2]=>3 [-1,4,5,-3,-2]=>4 [-1,4,-5,3,2]=>2 [-1,4,-5,3,-2]=>3 [-1,4,-5,-3,2]=>3 [-1,4,-5,-3,-2]=>3 [-1,-4,5,3,2]=>2 [-1,-4,5,3,-2]=>3 [-1,-4,5,-3,2]=>3 [-1,-4,5,-3,-2]=>3 [-1,-4,-5,3,2]=>2 [-1,-4,-5,3,-2]=>2 [-1,-4,-5,-3,2]=>2 [-1,-4,-5,-3,-2]=>3 [1,5,2,3,4]=>1 [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]=>2 [1,5,-2,-3,4]=>2 [1,5,-2,-3,-4]=>3 [1,-5,2,3,4]=>1 [1,-5,2,3,-4]=>1 [1,-5,2,-3,4]=>1 [1,-5,2,-3,-4]=>2 [1,-5,-2,3,4]=>1 [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]=>2 [-1,5,2,-3,4]=>2 [-1,5,2,-3,-4]=>3 [-1,5,-2,3,4]=>2 [-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]=>2 [-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]=>2 [-1,-5,-2,-3,-4]=>3 [1,5,2,4,3]=>1 [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]=>2 [1,5,-2,-4,3]=>2 [1,5,-2,-4,-3]=>3 [1,-5,2,4,3]=>1 [1,-5,2,4,-3]=>1 [1,-5,2,-4,3]=>1 [1,-5,2,-4,-3]=>2 [1,-5,-2,4,3]=>1 [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]=>2 [-1,5,2,-4,3]=>2 [-1,5,2,-4,-3]=>3 [-1,5,-2,4,3]=>2 [-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]=>2 [-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]=>2 [-1,-5,-2,-4,-3]=>3 [1,5,3,2,4]=>1 [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]=>2 [1,5,-3,-2,4]=>2 [1,5,-3,-2,-4]=>3 [1,-5,3,2,4]=>1 [1,-5,3,2,-4]=>1 [1,-5,3,-2,4]=>1 [1,-5,3,-2,-4]=>2 [1,-5,-3,2,4]=>1 [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]=>2 [-1,5,3,-2,4]=>2 [-1,5,3,-2,-4]=>3 [-1,5,-3,2,4]=>2 [-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]=>2 [-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]=>2 [-1,-5,-3,-2,-4]=>3 [1,5,3,4,2]=>1 [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]=>2 [1,5,-3,-4,2]=>2 [1,5,-3,-4,-2]=>3 [1,-5,3,4,2]=>1 [1,-5,3,4,-2]=>1 [1,-5,3,-4,2]=>1 [1,-5,3,-4,-2]=>2 [1,-5,-3,4,2]=>1 [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]=>2 [-1,5,3,-4,2]=>2 [-1,5,3,-4,-2]=>3 [-1,5,-3,4,2]=>2 [-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]=>2 [-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]=>2 [-1,-5,-3,-4,-2]=>3 [1,5,4,2,3]=>2 [1,5,4,2,-3]=>3 [1,5,4,-2,3]=>3 [1,5,4,-2,-3]=>3 [1,5,-4,2,3]=>2 [1,5,-4,2,-3]=>2 [1,5,-4,-2,3]=>2 [1,5,-4,-2,-3]=>3 [1,-5,4,2,3]=>2 [1,-5,4,2,-3]=>2 [1,-5,4,-2,3]=>2 [1,-5,4,-2,-3]=>3 [1,-5,-4,2,3]=>1 [1,-5,-4,2,-3]=>2 [1,-5,-4,-2,3]=>2 [1,-5,-4,-2,-3]=>2 [-1,5,4,2,3]=>3 [-1,5,4,2,-3]=>3 [-1,5,4,-2,3]=>3 [-1,5,4,-2,-3]=>4 [-1,5,-4,2,3]=>2 [-1,5,-4,2,-3]=>3 [-1,5,-4,-2,3]=>3 [-1,5,-4,-2,-3]=>3 [-1,-5,4,2,3]=>2 [-1,-5,4,2,-3]=>3 [-1,-5,4,-2,3]=>3 [-1,-5,4,-2,-3]=>3 [-1,-5,-4,2,3]=>2 [-1,-5,-4,2,-3]=>2 [-1,-5,-4,-2,3]=>2 [-1,-5,-4,-2,-3]=>3 [1,5,4,3,2]=>2 [1,5,4,3,-2]=>3 [1,5,4,-3,2]=>3 [1,5,4,-3,-2]=>3 [1,5,-4,3,2]=>2 [1,5,-4,3,-2]=>2 [1,5,-4,-3,2]=>2 [1,5,-4,-3,-2]=>3 [1,-5,4,3,2]=>2 [1,-5,4,3,-2]=>2 [1,-5,4,-3,2]=>2 [1,-5,4,-3,-2]=>3 [1,-5,-4,3,2]=>1 [1,-5,-4,3,-2]=>2 [1,-5,-4,-3,2]=>2 [1,-5,-4,-3,-2]=>2 [-1,5,4,3,2]=>3 [-1,5,4,3,-2]=>3 [-1,5,4,-3,2]=>3 [-1,5,4,-3,-2]=>4 [-1,5,-4,3,2]=>2 [-1,5,-4,3,-2]=>3 [-1,-5,-4,-3,-2]=>3 [2,1,3,4,5]=>1 [2,1,3,4,-5]=>2 [2,-1,3,4,5]=>2 [-2,1,3,4,5]=>1 [-2,-1,-3,-4,-5]=>3 [2,1,3,5,4]=>2 [2,1,3,5,-4]=>3 [2,1,3,-5,4]=>2 [2,-1,3,5,4]=>3 [-2,1,3,-5,4]=>1 [-2,-1,-3,-5,-4]=>3 [2,1,4,3,5]=>2 [2,1,4,3,-5]=>3 [2,-1,4,3,5]=>3 [-2,1,-4,3,5]=>1 [-2,-1,-4,-3,-5]=>3 [2,1,4,5,3]=>3 [2,1,4,5,-3]=>4 [2,1,4,-5,3]=>3 [2,-1,4,5,3]=>4 [-2,1,-4,-5,3]=>2 [-2,-1,-4,-5,-3]=>3 [2,1,5,3,4]=>2 [2,1,5,3,-4]=>3 [2,1,-5,3,4]=>2 [2,-1,5,3,4]=>3 [-2,1,5,3,4]=>2 [-2,-1,-5,-3,-4]=>3 [2,1,5,4,3]=>2 [2,1,5,4,-3]=>3 [2,1,-5,4,3]=>2 [2,-1,5,4,3]=>3 [-2,1,5,-4,3]=>2 [-2,-1,-5,-4,-3]=>3 [2,3,1,4,5]=>2 [2,3,1,4,-5]=>3 [2,3,-1,4,5]=>3 [2,-3,1,4,5]=>2 [-2,-3,1,4,5]=>1 [-2,-3,-1,-4,-5]=>3 [2,3,1,5,4]=>3 [2,3,1,5,-4]=>4 [2,3,1,-5,4]=>3 [2,3,-1,5,4]=>4 [-2,-3,1,-5,4]=>2 [-2,-3,-1,-5,-4]=>3 [2,3,4,1,5]=>3 [2,3,4,1,-5]=>4 [2,3,4,-1,5]=>4 [2,3,-4,1,5]=>3 [-2,-3,-4,1,5]=>2 [-2,-3,-4,-1,-5]=>3 [2,3,4,5,1]=>4 [2,3,4,5,-1]=>5 [2,3,4,-5,1]=>4 [2,3,-4,-5,1]=>3 [-2,3,4,-5,1]=>3 [-2,-3,-4,-5,1]=>2 [-2,-3,-4,-5,-1]=>3 [2,3,5,1,4]=>3 [2,3,5,1,-4]=>4 [2,3,5,-1,4]=>4 [2,3,-5,1,4]=>3 [-2,3,-5,1,4]=>2 [-2,-3,5,1,4]=>2 [-2,-3,-5,-1,-4]=>3 [2,3,5,4,1]=>3 [2,3,5,4,-1]=>4 [2,3,5,-4,1]=>4 [2,3,-5,4,1]=>3 [2,3,-5,-4,1]=>3 [2,-3,-5,-4,1]=>3 [-2,3,-5,-4,1]=>3 [-2,-3,5,-4,1]=>3 [-2,-3,-5,-4,-1]=>3 [2,4,1,3,5]=>2 [2,4,1,3,-5]=>3 [2,4,-1,3,5]=>3 [2,-4,1,3,5]=>2 [-2,4,1,3,5]=>2 [-2,-4,1,3,5]=>1 [-2,-4,-1,-3,-5]=>3 [2,4,1,5,3]=>3 [2,4,1,5,-3]=>4 [2,4,1,-5,3]=>3 [2,4,-1,5,3]=>4 [-2,4,1,-5,3]=>2 [-2,-4,-1,-5,-3]=>3 [2,4,3,1,5]=>2 [2,4,3,1,-5]=>3 [2,4,3,-1,5]=>3 [2,4,-3,1,5]=>3 [2,-4,-3,1,5]=>2 [-2,4,-3,1,5]=>2 [-2,-4,-3,-1,-5]=>3 [2,4,3,5,1]=>3 [2,4,3,5,-1]=>4 [2,4,3,-5,1]=>3 [2,-4,-3,-5,1]=>3 [-2,4,-3,-5,1]=>3 [-2,-4,-3,-5,-1]=>3 [2,4,5,1,3]=>3 [2,4,5,1,-3]=>4 [2,4,5,-1,3]=>4 [2,4,-5,1,3]=>3 [2,-4,-5,1,3]=>2 [-2,4,5,1,3]=>3 [-2,4,-5,1,3]=>2 [-2,-4,-5,-1,-3]=>3 [2,4,5,3,1]=>3 [2,4,5,3,-1]=>4 [2,4,5,-3,1]=>4 [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,-3,-1]=>3 [2,5,1,3,4]=>2 [2,5,1,3,-4]=>3 [2,5,-1,3,4]=>3 [2,-5,1,3,4]=>2 [-2,-5,1,3,4]=>1 [-2,-5,-1,-3,-4]=>3 [2,5,1,4,3]=>2 [2,5,1,4,-3]=>3 [2,5,-1,4,3]=>3 [2,-5,1,4,3]=>2 [-2,-5,1,-4,3]=>2 [-2,-5,-1,-4,-3]=>3 [2,5,3,1,4]=>2 [2,5,3,1,-4]=>3 [2,5,3,-1,4]=>3 [2,5,-3,1,4]=>3 [2,-5,3,1,4]=>2 [2,-5,-3,1,4]=>2 [-2,-5,-3,1,4]=>2 [-2,-5,-3,-1,-4]=>3 [2,5,3,4,1]=>2 [2,5,3,4,-1]=>3 [2,-5,3,4,1]=>2 [-2,-5,-3,-4,-1]=>3 [2,5,4,1,3]=>3 [2,5,4,1,-3]=>4 [2,5,4,-1,3]=>4 [2,5,-4,1,3]=>3 [2,-5,4,1,3]=>3 [2,-5,-4,1,3]=>2 [-2,-5,4,1,3]=>2 [-2,-5,-4,1,3]=>2 [-2,-5,-4,-1,-3]=>3 [2,5,4,3,1]=>3 [2,5,4,3,-1]=>4 [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,-3,-1]=>3 [3,1,2,4,5]=>1 [3,1,2,4,-5]=>2 [3,-1,2,4,5]=>2 [-3,1,2,4,5]=>1 [-3,-1,-2,-4,-5]=>3 [3,1,2,5,4]=>2 [3,1,2,5,-4]=>3 [3,1,2,-5,4]=>2 [3,-1,2,5,4]=>3 [-3,-1,-2,-5,-4]=>3 [3,1,4,2,5]=>2 [3,1,4,2,-5]=>3 [3,1,-4,2,5]=>2 [3,-1,4,2,5]=>3 [-3,-1,-4,-2,-5]=>3 [3,1,4,5,2]=>3 [3,1,4,5,-2]=>4 [3,1,4,-5,2]=>3 [3,1,-4,-5,2]=>2 [3,-1,4,5,2]=>4 [-3,1,4,-5,2]=>2 [-3,-1,-4,-5,-2]=>3 [3,1,5,2,4]=>2 [3,1,5,2,-4]=>3 [3,1,-5,2,4]=>2 [3,-1,5,2,4]=>3 [-3,-1,-5,-2,-4]=>3 [3,1,5,4,2]=>2 [3,1,5,4,-2]=>3 [3,1,5,-4,2]=>3 [3,1,-5,4,2]=>2 [3,-1,5,4,2]=>3 [-3,1,-5,-4,2]=>2 [-3,-1,-5,-4,-2]=>3 [3,2,1,4,5]=>1 [3,2,1,4,-5]=>2 [3,2,-1,4,5]=>2 [3,-2,1,4,5]=>2 [-3,-2,1,4,5]=>1 [-3,-2,-1,-4,-5]=>3 [3,2,1,5,4]=>2 [3,2,1,5,-4]=>3 [3,2,1,-5,4]=>2 [3,2,-1,5,4]=>3 [3,-2,1,-5,4]=>2 [-3,-2,-1,-5,-4]=>3 [3,2,4,1,5]=>2 [3,2,4,1,-5]=>3 [3,2,4,-1,5]=>3 [3,-2,-4,1,5]=>2 [-3,2,-4,1,5]=>1 [-3,-2,-4,-1,-5]=>3 [3,2,4,5,1]=>3 [3,2,4,5,-1]=>4 [3,2,4,-5,1]=>3 [3,-2,-4,-5,1]=>3 [-3,2,4,-5,1]=>2 [-3,-2,-4,-5,-1]=>3 [3,2,5,1,4]=>2 [3,2,5,1,-4]=>3 [3,2,5,-1,4]=>3 [3,2,-5,1,4]=>2 [3,-2,5,1,4]=>3 [-3,2,-5,1,4]=>1 [-3,-2,-5,-1,-4]=>3 [3,2,5,4,1]=>2 [3,2,5,4,-1]=>3 [3,2,-5,4,1]=>2 [3,-2,5,-4,1]=>3 [-3,2,5,-4,1]=>2 [-3,2,-5,-4,1]=>2 [-3,-2,-5,-4,-1]=>3 [3,4,1,2,5]=>2 [3,4,1,2,-5]=>3 [3,4,-1,2,5]=>3 [3,-4,1,2,5]=>2 [-3,-4,1,2,5]=>1 [-3,-4,-1,-2,-5]=>3 [3,4,1,5,2]=>3 [3,4,1,5,-2]=>4 [3,4,1,-5,2]=>3 [3,4,-1,5,2]=>4 [-3,-4,-1,-5,-2]=>3 [3,4,2,1,5]=>2 [3,4,2,1,-5]=>3 [3,4,2,-1,5]=>3 [3,4,-2,1,5]=>3 [3,-4,-2,1,5]=>2 [-3,-4,-2,-1,-5]=>3 [3,4,2,5,1]=>3 [3,4,2,5,-1]=>4 [3,4,2,-5,1]=>3 [3,4,-2,-5,1]=>3 [3,-4,2,-5,1]=>2 [-3,-4,-2,-5,-1]=>3 [3,4,5,1,2]=>3 [3,4,5,1,-2]=>4 [3,4,5,-1,2]=>4 [3,4,-5,1,2]=>3 [3,-4,-5,1,2]=>2 [-3,4,-5,1,2]=>2 [-3,-4,-5,-1,-2]=>3 [3,4,5,2,1]=>3 [3,4,5,2,-1]=>4 [3,4,5,-2,1]=>4 [3,4,-5,2,1]=>3 [3,4,-5,-2,1]=>3 [-3,-4,-5,-2,-1]=>3 [3,5,1,2,4]=>2 [3,5,1,2,-4]=>3 [3,5,-1,2,4]=>3 [3,-5,1,2,4]=>2 [-3,-5,1,2,4]=>1 [-3,-5,-1,-2,-4]=>3 [3,5,1,4,2]=>2 [3,5,1,4,-2]=>3 [3,5,-1,4,2]=>3 [3,-5,1,4,2]=>2 [-3,-5,-1,-4,-2]=>3 [3,5,2,1,4]=>2 [3,5,2,1,-4]=>3 [3,5,2,-1,4]=>3 [3,-5,2,1,4]=>2 [3,-5,-2,1,4]=>2 [-3,-5,-2,-1,-4]=>3 [3,5,2,4,1]=>2 [3,5,2,4,-1]=>3 [3,-5,2,4,1]=>2 [-3,-5,-2,-4,-1]=>3 [3,5,4,1,2]=>3 [3,5,4,1,-2]=>4 [3,5,4,-1,2]=>4 [3,5,-4,1,2]=>3 [3,-5,4,1,2]=>3 [3,-5,-4,1,2]=>2 [-3,5,-4,1,2]=>2 [-3,-5,-4,1,2]=>2 [-3,-5,-4,-1,-2]=>3 [3,5,4,2,1]=>3 [3,5,4,2,-1]=>4 [3,5,-4,-2,1]=>3 [3,-5,4,2,1]=>3 [3,-5,-4,-2,1]=>3 [-3,-5,-4,-2,-1]=>3 [4,1,2,3,5]=>1 [4,1,2,3,-5]=>2 [4,-1,2,3,5]=>2 [-4,1,2,3,5]=>1 [-4,-1,-2,-3,-5]=>3 [4,1,2,5,3]=>2 [4,1,2,5,-3]=>3 [4,1,2,-5,3]=>2 [4,-1,2,5,3]=>3 [-4,1,2,-5,3]=>1 [-4,-1,-2,-5,-3]=>3 [4,1,3,2,5]=>1 [4,1,3,2,-5]=>2 [4,-1,3,2,5]=>2 [-4,1,-3,2,5]=>1 [-4,-1,-3,-2,-5]=>3 [4,1,3,5,2]=>2 [4,1,3,5,-2]=>3 [4,1,3,-5,2]=>2 [4,-1,3,5,2]=>3 [-4,1,-3,-5,2]=>2 [-4,-1,-3,-5,-2]=>3 [4,1,5,2,3]=>2 [4,1,5,2,-3]=>3 [4,1,-5,2,3]=>2 [4,-1,5,2,3]=>3 [-4,1,5,2,3]=>2 [-4,-1,-5,-2,-3]=>3 [4,1,5,3,2]=>2 [4,1,5,3,-2]=>3 [4,1,-5,3,2]=>2 [4,-1,5,3,2]=>3 [-4,1,5,-3,2]=>2 [-4,-1,-5,-3,-2]=>3 [4,2,1,3,5]=>1 [4,2,1,3,-5]=>2 [4,2,-1,3,5]=>2 [-4,-2,1,3,5]=>1 [-4,-2,-1,-3,-5]=>3 [4,2,1,5,3]=>2 [4,2,1,5,-3]=>3 [4,2,1,-5,3]=>2 [4,2,-1,5,3]=>3 [-4,-2,1,-5,3]=>2 [-4,-2,-1,-5,-3]=>3 [4,2,3,1,5]=>1 [4,2,3,1,-5]=>2 [4,2,3,-1,5]=>2 [-4,-2,-3,-1,-5]=>3 [4,2,3,5,1]=>2 [4,2,3,5,-1]=>3 [4,2,3,-5,1]=>2 [4,2,-3,-5,1]=>2 [-4,2,3,-5,1]=>1 [-4,-2,-3,-5,-1]=>3 [4,2,5,1,3]=>2 [4,2,5,1,-3]=>3 [4,2,5,-1,3]=>3 [4,2,-5,1,3]=>2 [-4,2,-5,1,3]=>1 [-4,-2,5,1,3]=>2 [-4,-2,-5,-1,-3]=>3 [4,2,5,3,1]=>2 [4,2,5,3,-1]=>3 [4,2,-5,3,1]=>2 [-4,2,-5,-3,1]=>2 [-4,-2,-5,-3,-1]=>3 [4,3,1,2,5]=>2 [4,3,1,2,-5]=>3 [4,3,-1,2,5]=>3 [4,-3,1,2,5]=>2 [-4,3,1,2,5]=>2 [-4,-3,1,2,5]=>1 [-4,-3,-1,-2,-5]=>3 [4,3,1,5,2]=>3 [4,3,1,5,-2]=>4 [4,3,1,-5,2]=>3 [4,3,-1,5,2]=>4 [-4,3,1,-5,2]=>2 [-4,-3,-1,-5,-2]=>3 [4,3,2,1,5]=>2 [4,3,2,1,-5]=>3 [4,3,2,-1,5]=>3 [-4,-3,-2,1,5]=>2 [-4,-3,-2,-1,-5]=>3 [4,3,2,5,1]=>3 [4,3,2,5,-1]=>4 [4,3,2,-5,1]=>3 [-4,-3,2,-5,1]=>2 [-4,-3,-2,-5,-1]=>3 [4,3,5,1,2]=>3 [4,3,5,1,-2]=>4 [4,3,5,-1,2]=>4 [4,3,-5,1,2]=>3 [-4,3,5,1,2]=>3 [-4,3,-5,1,2]=>2 [-4,-3,-5,1,2]=>2 [-4,-3,-5,-1,-2]=>3 [4,3,5,2,1]=>3 [4,3,5,2,-1]=>4 [4,3,-5,2,1]=>3 [-4,3,-5,-2,1]=>3 [-4,-3,-5,-2,-1]=>3 [4,5,1,2,3]=>2 [4,5,1,2,-3]=>3 [4,5,-1,2,3]=>3 [4,-5,1,2,3]=>2 [-4,5,1,2,3]=>2 [-4,-5,1,2,3]=>1 [-4,-5,-1,-2,-3]=>3 [4,5,1,3,2]=>2 [4,5,1,3,-2]=>3 [4,5,-1,3,2]=>3 [4,-5,1,3,2]=>2 [-4,-5,1,-3,2]=>2 [-4,-5,-1,-3,-2]=>3 [4,5,2,1,3]=>2 [4,5,2,1,-3]=>3 [4,5,2,-1,3]=>3 [4,-5,2,1,3]=>2 [4,-5,-2,1,3]=>2 [-4,-5,-2,1,3]=>2 [-4,-5,-2,-1,-3]=>3 [4,5,2,3,1]=>2 [4,5,2,3,-1]=>3 [4,-5,2,3,1]=>2 [-4,-5,-2,-3,-1]=>3 [4,5,3,1,2]=>2 [4,5,3,1,-2]=>3 [4,5,3,-1,2]=>3 [4,5,-3,1,2]=>3 [4,-5,3,1,2]=>2 [4,-5,-3,1,2]=>2 [-4,-5,3,1,2]=>1 [-4,-5,-3,1,2]=>2 [-4,-5,-3,-1,-2]=>3 [4,5,3,2,1]=>2 [4,5,3,2,-1]=>3 [4,-5,3,2,1]=>2 [4,-5,-3,-2,1]=>3 [-4,-5,-3,-2,-1]=>3 [5,1,2,3,4]=>1 [5,1,2,3,-4]=>2 [5,-1,2,3,4]=>2 [-5,1,2,3,4]=>1 [-5,-1,-2,-3,-4]=>3 [5,1,2,4,3]=>1 [5,1,2,4,-3]=>2 [5,1,2,-4,3]=>2 [5,-1,2,4,3]=>2 [-5,1,2,4,3]=>1 [-5,-1,-2,-4,-3]=>3 [5,1,3,2,4]=>1 [5,1,3,2,-4]=>2 [5,1,-3,2,4]=>2 [5,-1,3,2,4]=>2 [-5,1,3,2,4]=>1 [-5,-1,-3,-2,-4]=>3 [5,1,3,4,2]=>1 [5,1,3,4,-2]=>2 [5,-1,3,4,2]=>2 [-5,1,3,4,2]=>1 [-5,-1,-3,-4,-2]=>3 [5,1,4,2,3]=>2 [5,1,4,2,-3]=>3 [5,-1,4,2,3]=>3 [-5,1,4,2,3]=>2 [-5,1,-4,2,3]=>1 [-5,-1,-4,-2,-3]=>3 [5,1,4,3,2]=>2 [5,1,4,3,-2]=>3 [5,-1,4,3,2]=>3 [-5,1,4,3,2]=>2 [-5,-1,-4,-3,-2]=>3 [5,2,1,3,4]=>1 [5,2,1,3,-4]=>2 [5,2,-1,3,4]=>2 [5,-2,1,3,4]=>2 [-5,2,1,3,4]=>1 [-5,-2,1,3,4]=>1 [-5,-2,-1,-3,-4]=>3 [5,2,1,4,3]=>1 [5,2,1,4,-3]=>2 [5,2,-1,4,3]=>2 [5,-2,1,-4,3]=>2 [-5,2,1,4,3]=>1 [-5,-2,-1,-4,-3]=>3 [5,2,3,1,4]=>1 [5,2,3,1,-4]=>2 [5,2,3,-1,4]=>2 [-5,2,3,1,4]=>1 [-5,2,-3,1,4]=>1 [-5,-2,-3,-1,-4]=>3 [5,2,3,4,1]=>1 [5,2,3,4,-1]=>2 [5,2,3,-4,1]=>2 [-5,2,3,4,1]=>1 [-5,2,3,-4,1]=>1 [-5,2,-3,-4,1]=>2 [-5,-2,-3,-4,-1]=>3 [5,2,4,1,3]=>2 [5,2,4,1,-3]=>3 [5,2,4,-1,3]=>3 [5,2,-4,1,3]=>2 [-5,2,4,1,3]=>2 [-5,2,-4,1,3]=>1 [-5,-2,-4,-1,-3]=>3 [5,2,4,3,1]=>2 [5,2,4,3,-1]=>3 [5,2,-4,-3,1]=>2 [-5,2,4,3,1]=>2 [-5,2,4,-3,1]=>2 [-5,-2,-4,-3,-1]=>3 [5,3,1,2,4]=>2 [5,3,1,2,-4]=>3 [5,3,-1,2,4]=>3 [5,-3,1,2,4]=>2 [-5,3,1,2,4]=>2 [-5,-3,1,2,4]=>1 [-5,-3,-1,-2,-4]=>3 [5,3,1,4,2]=>2 [5,3,1,4,-2]=>3 [5,3,1,-4,2]=>3 [5,3,-1,4,2]=>3 [-5,3,1,4,2]=>2 [-5,-3,1,-4,2]=>2 [-5,-3,-1,-4,-2]=>3 [5,3,2,1,4]=>2 [5,3,2,1,-4]=>3 [5,3,2,-1,4]=>3 [-5,3,2,1,4]=>2 [-5,-3,-2,1,4]=>2 [-5,-3,-2,-1,-4]=>3 [5,3,2,4,1]=>2 [5,3,2,4,-1]=>3 [5,3,-2,-4,1]=>3 [-5,3,2,4,1]=>2 [-5,-3,2,-4,1]=>2 [-5,-3,-2,-4,-1]=>3 [5,3,4,1,2]=>3 [5,3,4,1,-2]=>4 [5,3,4,-1,2]=>4 [5,3,-4,1,2]=>3 [-5,3,4,1,2]=>3 [-5,3,-4,1,2]=>2 [-5,-3,-4,-1,-2]=>3 [5,3,4,2,1]=>3 [5,3,4,2,-1]=>4 [5,3,4,-2,1]=>4 [-5,3,4,2,1]=>3 [-5,-3,-4,-2,-1]=>3 [5,4,1,2,3]=>2 [5,4,1,2,-3]=>3 [5,4,-1,2,3]=>3 [5,-4,1,2,3]=>2 [-5,4,1,2,3]=>2 [-5,-4,1,2,3]=>1 [-5,-4,-1,-2,-3]=>3 [5,4,1,3,2]=>2 [5,4,1,3,-2]=>3 [5,4,-1,3,2]=>3 [5,-4,1,-3,2]=>2 [-5,4,1,3,2]=>2 [-5,4,1,-3,2]=>2 [-5,-4,-1,-3,-2]=>3 [5,4,2,1,3]=>2 [5,4,2,1,-3]=>3 [5,4,2,-1,3]=>3 [-5,4,2,1,3]=>2 [-5,-4,2,1,3]=>1 [-5,-4,-2,1,3]=>2 [-5,-4,-2,-1,-3]=>3 [5,4,2,3,1]=>2 [5,4,2,3,-1]=>3 [-5,4,2,3,1]=>2 [-5,-4,-2,-3,-1]=>3 [5,4,3,1,2]=>2 [5,4,3,1,-2]=>3 [5,4,3,-1,2]=>3 [5,-4,3,1,2]=>2 [5,-4,-3,1,2]=>2 [-5,4,3,1,2]=>2 [-5,4,-3,1,2]=>2 [-5,-4,3,1,2]=>1 [-5,-4,-3,1,2]=>2 [-5,-4,-3,-1,-2]=>3 [5,4,3,2,1]=>2 [5,4,3,2,-1]=>3 [-5,4,3,2,1]=>2 [-5,-4,-3,-2,1]=>2 [-5,-4,-3,-2,-1]=>3 [1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>1 [1,2,3,5,4,6]=>1 [1,2,3,5,6,4]=>2 [1,2,3,6,4,5]=>1 [1,2,3,6,5,4]=>1 [1,2,4,3,5,6]=>1 [1,2,4,3,6,5]=>2 [1,2,4,5,3,6]=>2 [1,2,4,5,6,3]=>3 [1,2,4,6,3,5]=>2 [1,2,4,6,5,3]=>2 [1,2,5,3,4,6]=>1 [1,2,5,3,6,4]=>2 [1,2,5,4,3,6]=>1 [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]=>1 [1,2,6,4,5,3]=>1 [1,2,6,5,4,3]=>2 [1,3,2,4,5,6]=>1 [1,3,2,4,6,5]=>2 [1,3,2,5,4,6]=>2 [1,3,2,5,6,4]=>3 [1,3,2,6,4,5]=>2 [1,3,2,6,5,4]=>2 [1,3,4,2,5,6]=>2 [1,3,4,2,6,5]=>3 [1,3,4,5,2,6]=>3 [1,3,4,5,6,2]=>4 [1,3,4,6,2,5]=>3 [1,3,4,6,5,2]=>3 [1,3,5,2,4,6]=>2 [1,3,5,2,6,4]=>3 [1,3,5,4,2,6]=>2 [1,3,5,4,6,2]=>3 [1,3,5,6,2,4]=>3 [1,3,5,6,4,2]=>3 [1,3,6,2,4,5]=>2 [1,3,6,4,5,2]=>2 [1,3,6,5,4,2]=>3 [1,4,2,3,5,6]=>1 [1,4,2,3,6,5]=>2 [1,4,2,5,3,6]=>2 [1,4,2,5,6,3]=>3 [1,4,2,6,3,5]=>2 [1,4,3,2,5,6]=>1 [1,4,3,2,6,5]=>2 [1,4,3,5,2,6]=>2 [1,4,3,5,6,2]=>3 [1,4,3,6,5,2]=>2 [1,4,5,2,3,6]=>2 [1,4,5,2,6,3]=>3 [1,4,5,3,2,6]=>2 [1,4,5,3,6,2]=>3 [1,4,5,6,2,3]=>3 [1,4,5,6,3,2]=>3 [1,4,6,2,3,5]=>2 [1,4,6,5,3,2]=>3 [1,5,2,3,4,6]=>1 [1,5,2,3,6,4]=>2 [1,5,2,6,3,4]=>2 [1,5,3,4,2,6]=>1 [1,5,3,4,6,2]=>2 [1,5,4,3,2,6]=>2 [1,5,4,3,6,2]=>3 [1,5,4,6,3,2]=>3 [1,5,6,2,3,4]=>2 [1,5,6,4,3,2]=>2 [1,6,2,3,4,5]=>1 [1,6,3,4,5,2]=>1 [1,6,3,5,4,2]=>2 [1,6,4,3,5,2]=>2 [1,6,4,5,3,2]=>3 [1,6,5,4,3,2]=>2 [2,1,3,4,5,6]=>1 [2,1,3,4,6,5]=>2 [2,1,3,5,4,6]=>2 [2,1,3,5,6,4]=>3 [2,1,3,6,4,5]=>2 [2,1,3,6,5,4]=>2 [2,1,4,3,5,6]=>2 [2,1,4,3,6,5]=>3 [2,1,4,5,3,6]=>3 [2,1,4,5,6,3]=>4 [2,1,4,6,3,5]=>3 [2,1,4,6,5,3]=>3 [2,1,5,3,4,6]=>2 [2,1,5,3,6,4]=>3 [2,1,5,4,3,6]=>2 [2,1,5,4,6,3]=>3 [2,1,5,6,3,4]=>3 [2,1,5,6,4,3]=>3 [2,1,6,3,4,5]=>2 [2,1,6,4,5,3]=>2 [2,1,6,5,4,3]=>3 [2,3,1,4,5,6]=>2 [2,3,1,4,6,5]=>3 [2,3,1,5,4,6]=>3 [2,3,1,5,6,4]=>4 [2,3,1,6,4,5]=>3 [2,3,1,6,5,4]=>3 [2,3,4,1,5,6]=>3 [2,3,4,1,6,5]=>4 [2,3,4,5,1,6]=>4 [2,3,4,5,6,1]=>5 [2,3,4,6,1,5]=>4 [2,3,4,6,5,1]=>4 [2,3,5,1,4,6]=>3 [2,3,5,1,6,4]=>4 [2,3,5,4,1,6]=>3 [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]=>3 [2,3,6,4,5,1]=>3 [2,3,6,5,1,4]=>4 [2,3,6,5,4,1]=>4 [2,4,1,3,5,6]=>2 [2,4,1,3,6,5]=>3 [2,4,1,5,3,6]=>3 [2,4,1,5,6,3]=>4 [2,4,1,6,3,5]=>3 [2,4,3,1,5,6]=>2 [2,4,3,1,6,5]=>3 [2,4,3,5,1,6]=>3 [2,4,3,5,6,1]=>4 [2,4,3,6,5,1]=>3 [2,4,5,1,3,6]=>3 [2,4,5,1,6,3]=>4 [2,4,5,3,1,6]=>3 [2,4,5,3,6,1]=>4 [2,4,5,6,1,3]=>4 [2,4,5,6,3,1]=>4 [2,4,6,1,3,5]=>3 [2,4,6,5,3,1]=>4 [2,5,1,3,4,6]=>2 [2,5,1,3,6,4]=>3 [2,5,1,6,3,4]=>3 [2,5,3,4,1,6]=>2 [2,5,3,4,6,1]=>3 [2,5,4,1,6,3]=>4 [2,5,4,3,1,6]=>3 [2,5,4,3,6,1]=>4 [2,5,4,6,3,1]=>4 [2,5,6,1,3,4]=>3 [2,5,6,4,3,1]=>3 [2,6,1,3,4,5]=>2 [2,6,1,5,3,4]=>3 [2,6,3,4,5,1]=>2 [2,6,3,5,4,1]=>3 [2,6,4,1,3,5]=>3 [2,6,4,3,5,1]=>3 [2,6,4,5,1,3]=>4 [2,6,4,5,3,1]=>4 [2,6,5,1,3,4]=>3 [2,6,5,4,3,1]=>3 [3,1,2,4,5,6]=>1 [3,1,2,4,6,5]=>2 [3,1,2,5,4,6]=>2 [3,1,2,5,6,4]=>3 [3,1,2,6,4,5]=>2 [3,1,4,2,5,6]=>2 [3,1,4,2,6,5]=>3 [3,1,4,5,2,6]=>3 [3,1,4,5,6,2]=>4 [3,1,4,6,2,5]=>3 [3,1,5,2,4,6]=>2 [3,1,5,2,6,4]=>3 [3,1,5,6,2,4]=>3 [3,1,6,2,4,5]=>2 [3,1,6,5,2,4]=>3 [3,2,1,4,5,6]=>1 [3,2,1,4,6,5]=>2 [3,2,1,5,4,6]=>2 [3,2,1,5,6,4]=>3 [3,2,1,6,5,4]=>2 [3,2,4,1,5,6]=>2 [3,2,4,1,6,5]=>3 [3,2,4,5,1,6]=>3 [3,2,4,5,6,1]=>4 [3,2,4,6,5,1]=>3 [3,2,5,1,4,6]=>2 [3,2,5,4,1,6]=>2 [3,2,5,4,6,1]=>3 [3,2,5,6,4,1]=>3 [3,2,6,1,4,5]=>2 [3,2,6,4,5,1]=>2 [3,2,6,5,4,1]=>3 [3,4,1,2,5,6]=>2 [3,4,1,2,6,5]=>3 [3,4,1,5,2,6]=>3 [3,4,1,5,6,2]=>4 [3,4,1,6,2,5]=>3 [3,4,2,1,5,6]=>2 [3,4,2,1,6,5]=>3 [3,4,2,5,1,6]=>3 [3,4,2,5,6,1]=>4 [3,4,2,6,5,1]=>3 [3,4,5,1,2,6]=>3 [3,4,5,1,6,2]=>4 [3,4,5,2,1,6]=>3 [3,4,5,2,6,1]=>4 [3,4,5,6,1,2]=>4 [3,4,5,6,2,1]=>4 [3,4,6,1,2,5]=>3 [3,4,6,5,2,1]=>4 [3,5,1,2,4,6]=>2 [3,5,1,2,6,4]=>3 [3,5,1,6,2,4]=>3 [3,5,1,6,4,2]=>3 [3,5,2,6,1,4]=>3 [3,5,2,6,4,1]=>3 [3,5,4,2,1,6]=>3 [3,5,4,2,6,1]=>4 [3,5,4,6,2,1]=>4 [3,5,6,1,2,4]=>3 [3,5,6,4,2,1]=>3 [3,6,1,2,4,5]=>2 [3,6,1,5,4,2]=>3 [3,6,2,5,1,4]=>3 [3,6,5,4,2,1]=>3 [4,1,2,3,5,6]=>1 [4,1,2,3,6,5]=>2 [4,1,2,5,3,6]=>2 [4,1,2,5,6,3]=>3 [4,1,2,6,3,5]=>2 [4,1,5,2,3,6]=>2 [4,1,5,2,6,3]=>3 [4,1,5,6,2,3]=>3 [4,1,6,2,3,5]=>2 [4,2,1,3,5,6]=>1 [4,2,3,1,5,6]=>1 [4,2,3,1,6,5]=>2 [4,2,3,5,1,6]=>2 [4,2,3,5,6,1]=>3 [4,2,3,6,5,1]=>2 [4,2,5,1,3,6]=>2 [4,2,6,1,3,5]=>2 [4,3,1,2,5,6]=>2 [4,3,1,5,6,2]=>4 [4,3,1,6,2,5]=>3 [4,3,2,1,5,6]=>2 [4,3,2,1,6,5]=>3 [4,3,2,5,1,6]=>3 [4,3,2,5,6,1]=>4 [4,3,2,6,1,5]=>3 [4,3,2,6,5,1]=>3 [4,3,5,1,2,6]=>3 [4,3,5,2,1,6]=>3 [4,3,5,2,6,1]=>4 [4,3,5,6,1,2]=>4 [4,3,5,6,2,1]=>4 [4,3,6,1,2,5]=>3 [4,3,6,5,2,1]=>4 [4,5,1,2,3,6]=>2 [4,5,1,2,6,3]=>3 [4,5,1,6,2,3]=>3 [4,5,2,1,3,6]=>2 [4,5,2,3,1,6]=>2 [4,5,2,3,6,1]=>3 [4,5,3,1,2,6]=>2 [4,5,3,2,1,6]=>2 [4,5,3,2,6,1]=>3 [4,5,3,6,1,2]=>3 [4,5,3,6,2,1]=>3 [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]=>2 [4,6,2,5,1,3]=>3 [4,6,3,5,1,2]=>3 [4,6,5,1,3,2]=>3 [4,6,5,3,2,1]=>3 [5,1,2,3,4,6]=>1 [5,1,2,3,6,4]=>2 [5,1,2,6,3,4]=>2 [5,1,4,2,6,3]=>3 [5,1,6,2,3,4]=>2 [5,2,1,3,4,6]=>1 [5,2,3,1,4,6]=>1 [5,2,3,4,1,6]=>1 [5,2,3,4,6,1]=>2 [5,2,4,1,3,6]=>2 [5,2,4,3,1,6]=>2 [5,2,4,3,6,1]=>3 [5,2,6,1,3,4]=>2 [5,3,1,2,4,6]=>2 [5,3,1,2,6,4]=>3 [5,3,2,1,4,6]=>2 [5,3,2,4,1,6]=>2 [5,3,2,4,6,1]=>3 [5,3,2,6,1,4]=>3 [5,3,4,1,2,6]=>3 [5,3,4,1,6,2]=>4 [5,3,4,2,1,6]=>3 [5,3,4,2,6,1]=>4 [5,3,4,6,1,2]=>4 [5,3,4,6,2,1]=>4 [5,3,6,1,2,4]=>3 [5,4,1,2,3,6]=>2 [5,4,1,2,6,3]=>3 [5,4,2,1,3,6]=>2 [5,4,2,3,1,6]=>2 [5,4,2,3,6,1]=>3 [5,4,2,6,1,3]=>3 [5,4,3,1,2,6]=>2 [5,4,3,2,1,6]=>2 [5,4,3,2,6,1]=>3 [5,4,3,6,1,2]=>3 [5,4,3,6,2,1]=>3 [5,4,6,1,2,3]=>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]=>2 [5,6,2,1,3,4]=>2 [5,6,2,3,1,4]=>2 [5,6,2,3,4,1]=>2 [5,6,2,4,1,3]=>2 [5,6,3,1,2,4]=>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 [5,6,4,2,1,3]=>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]=>1 [6,1,2,5,3,4]=>2 [6,1,4,2,3,5]=>2 [6,1,4,5,2,3]=>3 [6,1,5,2,3,4]=>2 [6,2,1,3,4,5]=>1 [6,2,3,1,4,5]=>1 [6,2,3,4,1,5]=>1 [6,2,3,4,5,1]=>1 [6,2,3,5,4,1]=>2 [6,2,4,1,3,5]=>2 [6,2,4,3,5,1]=>2 [6,2,4,5,3,1]=>3 [6,2,5,1,3,4]=>2 [6,2,5,4,3,1]=>2 [6,3,1,2,4,5]=>2 [6,3,1,5,2,4]=>3 [6,3,2,1,4,5]=>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]=>3 [6,3,4,1,2,5]=>3 [6,3,4,2,1,5]=>3 [6,3,4,2,5,1]=>3 [6,3,4,5,1,2]=>4 [6,3,4,5,2,1]=>4 [6,3,5,1,2,4]=>3 [6,3,5,4,2,1]=>3 [6,4,1,2,3,5]=>2 [6,4,1,5,2,3]=>3 [6,4,2,1,3,5]=>2 [6,4,2,3,1,5]=>2 [6,4,2,3,5,1]=>2 [6,4,2,5,1,3]=>3 [6,4,3,1,2,5]=>2 [6,4,3,2,1,5]=>2 [6,4,3,2,5,1]=>2 [6,4,3,5,1,2]=>3 [6,4,3,5,2,1]=>3 [6,4,5,1,2,3]=>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]=>2 [6,5,2,1,3,4]=>2 [6,5,2,3,1,4]=>2 [6,5,2,3,4,1]=>2 [6,5,2,4,1,3]=>2 [6,5,3,1,2,4]=>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 [6,5,4,2,1,3]=>3 [6,5,4,2,3,1]=>3 [6,5,4,3,1,2]=>3 [6,5,4,3,2,1]=>3 [2,3,4,5,6,7,1]=>6 [2,3,4,5,7,1,6]=>5 [2,3,4,6,1,7,5]=>5 [2,3,4,7,1,5,6]=>4 [2,3,4,7,6,1,5]=>5 [2,3,5,1,6,7,4]=>5 [2,3,5,1,7,4,6]=>4 [2,3,6,1,4,7,5]=>4 [2,3,6,5,1,7,4]=>5 [2,3,7,1,4,5,6]=>3 [2,3,7,1,6,4,5]=>4 [2,3,7,5,1,4,6]=>4 [2,3,7,5,6,1,4]=>5 [2,3,7,6,1,4,5]=>4 [2,4,1,5,6,7,3]=>5 [2,4,1,5,7,3,6]=>4 [2,4,1,6,3,7,5]=>4 [2,4,1,7,3,5,6]=>3 [2,4,1,7,6,3,5]=>4 [2,5,1,3,6,7,4]=>4 [2,5,1,3,7,4,6]=>3 [2,5,4,1,6,7,3]=>5 [2,5,4,1,7,3,6]=>4 [2,6,1,3,4,7,5]=>3 [2,6,1,5,3,7,4]=>4 [2,6,4,1,3,7,5]=>4 [2,6,4,5,1,7,3]=>5 [2,6,5,1,3,7,4]=>4 [2,6,7,1,3,4,5]=>3 [2,7,1,3,4,5,6]=>2 [2,7,1,3,6,4,5]=>3 [2,7,1,5,3,4,6]=>3 [2,7,1,5,6,3,4]=>4 [2,7,1,6,3,4,5]=>3 [2,7,4,1,3,5,6]=>3 [2,7,4,1,6,3,5]=>4 [2,7,4,5,1,3,6]=>4 [2,7,4,5,6,1,3]=>5 [2,7,4,6,1,3,5]=>4 [2,7,5,1,3,4,6]=>3 [2,7,5,1,6,3,4]=>4 [2,7,6,5,1,3,4]=>4 [3,1,4,5,6,7,2]=>5 [3,1,4,5,7,2,6]=>4 [3,1,4,6,2,7,5]=>4 [3,1,4,7,2,5,6]=>3 [3,1,4,7,6,2,5]=>4 [3,1,5,2,6,7,4]=>4 [3,1,5,2,7,4,6]=>3 [3,1,6,2,4,7,5]=>3 [3,1,6,5,2,7,4]=>4 [3,1,7,2,4,5,6]=>2 [3,1,7,2,6,4,5]=>3 [3,1,7,5,2,4,6]=>3 [3,1,7,5,6,2,4]=>4 [3,1,7,6,2,4,5]=>3 [4,1,2,5,6,7,3]=>4 [4,1,2,5,7,3,6]=>3 [4,1,2,6,3,7,5]=>3 [4,1,2,7,3,5,6]=>2 [4,1,2,7,6,3,5]=>3 [4,3,1,5,6,7,2]=>5 [4,3,1,5,7,2,6]=>4 [4,3,1,6,2,7,5]=>4 [4,3,1,7,2,5,6]=>3 [4,3,1,7,6,2,5]=>4 [5,1,2,3,6,7,4]=>3 [5,1,2,3,7,4,6]=>2 [5,1,4,2,6,7,3]=>4 [5,1,4,2,7,3,6]=>3 [5,3,1,2,6,7,4]=>4 [5,3,1,2,7,4,6]=>3 [5,3,4,1,6,7,2]=>5 [5,3,4,1,7,2,6]=>4 [5,4,1,2,6,7,3]=>4 [5,4,1,2,7,3,6]=>3 [5,6,1,2,3,7,4]=>3 [5,7,1,2,3,4,6]=>2 [5,7,1,2,6,3,4]=>3 [6,1,2,3,4,7,5]=>2 [6,1,2,5,3,7,4]=>3 [6,1,4,2,3,7,5]=>3 [6,1,4,5,2,7,3]=>4 [6,1,5,2,3,7,4]=>3 [6,1,7,2,3,4,5]=>2 [6,3,1,2,4,7,5]=>3 [6,3,1,5,2,7,4]=>4 [6,3,4,1,2,7,5]=>4 [6,3,4,5,1,7,2]=>5 [6,3,5,1,2,7,4]=>4 [6,3,7,1,2,4,5]=>3 [6,4,1,2,3,7,5]=>3 [6,4,1,5,2,7,3]=>4 [6,5,4,1,2,7,3]=>4 [6,7,1,5,2,3,4]=>3 [6,7,4,1,2,3,5]=>3 [6,7,5,1,2,3,4]=>3 [7,1,2,3,4,5,6]=>1 [7,1,2,3,6,4,5]=>2 [7,1,2,5,3,4,6]=>2 [7,1,2,5,6,3,4]=>3 [7,1,2,6,3,4,5]=>2 [7,1,4,2,3,5,6]=>2 [7,1,4,2,6,3,5]=>3 [7,1,4,5,2,3,6]=>3 [7,1,4,5,6,2,3]=>4 [7,1,4,6,2,3,5]=>3 [7,1,5,2,3,4,6]=>2 [7,1,5,2,6,3,4]=>3 [7,1,6,5,2,3,4]=>3 [7,3,1,2,4,5,6]=>2 [7,3,1,2,6,4,5]=>3 [7,3,1,5,2,4,6]=>3 [7,3,1,5,6,2,4]=>4 [7,3,1,6,2,4,5]=>3 [7,3,4,1,2,5,6]=>3 [7,3,4,1,6,2,5]=>4 [7,3,4,5,1,2,6]=>4 [7,3,4,5,6,1,2]=>5 [7,3,4,6,1,2,5]=>4 [7,3,5,1,2,4,6]=>3 [7,3,5,1,6,2,4]=>4 [7,3,6,5,1,2,4]=>4 [7,4,1,2,3,5,6]=>2 [7,4,1,2,6,3,5]=>3 [7,4,1,5,2,3,6]=>3 [7,4,1,5,6,2,3]=>4 [7,4,1,6,2,3,5]=>3 [7,5,4,1,2,3,6]=>3 [7,5,4,1,6,2,3]=>4 [7,6,1,2,3,4,5]=>2 [7,6,4,5,1,2,3]=>4 [2,1,4,3,6,5,8,7]=>4 [3,4,1,2,6,5,8,7]=>4 [3,4,2,1,6,5,8,7]=>4 [3,5,2,6,1,4,8,7]=>4 [3,5,2,6,4,1,8,7]=>4 [3,5,2,7,4,8,1,6]=>4 [3,5,2,7,4,8,6,1]=>4 [4,5,7,2,3,8,6,1]=>4 [4,5,7,2,3,8,1,6]=>4 [4,5,6,2,3,1,8,7]=>4 [4,5,6,2,1,3,8,7]=>4 [4,5,6,1,2,3,8,7]=>4 [3,5,1,6,2,4,8,7]=>4 [2,1,5,6,3,4,8,7]=>4 [2,1,5,6,4,3,8,7]=>4 [3,5,1,6,4,2,8,7]=>4 [4,5,6,1,3,2,8,7]=>4 [4,5,6,3,1,2,8,7]=>4 [4,5,6,3,2,1,8,7]=>4 [4,5,7,3,2,8,1,6]=>4 [4,5,7,3,2,8,6,1]=>4 [4,6,7,3,8,2,5,1]=>4 [4,6,7,3,8,2,1,5]=>4 [4,6,7,3,8,1,2,5]=>4 [4,5,7,3,1,8,2,6]=>4 [4,5,7,1,3,8,2,6]=>4 [3,5,1,7,4,8,2,6]=>4 [2,1,5,7,4,8,3,6]=>4 [2,1,5,7,4,8,6,3]=>4 [3,5,1,7,4,8,6,2]=>4 [4,5,7,1,3,8,6,2]=>4 [4,5,7,3,1,8,6,2]=>4 [4,6,7,3,8,1,5,2]=>4 [4,6,7,3,8,5,1,2]=>4 [4,6,7,3,8,5,2,1]=>4 [5,6,7,8,3,4,2,1]=>4 [5,6,7,8,3,4,1,2]=>4 [5,6,7,8,3,1,4,2]=>4 [5,6,7,8,1,3,4,2]=>4 [4,6,7,1,8,3,5,2]=>4 [3,6,1,7,8,4,5,2]=>4 [2,1,6,7,8,4,5,3]=>4 [2,1,6,7,8,4,3,5]=>4 [3,6,1,7,8,4,2,5]=>4 [4,6,7,1,8,3,2,5]=>4 [5,6,7,8,1,3,2,4]=>4 [5,6,7,8,3,1,2,4]=>4 [5,6,7,8,3,2,1,4]=>4 [5,6,7,8,3,2,4,1]=>4 [5,6,7,8,2,3,4,1]=>4 [5,6,7,8,2,3,1,4]=>4 [5,6,7,8,2,1,3,4]=>4 [5,6,7,8,1,2,3,4]=>4 [4,6,7,1,8,2,3,5]=>4 [3,6,1,7,8,2,4,5]=>4 [2,1,6,7,8,3,4,5]=>4 [2,1,5,7,3,8,4,6]=>4 [3,5,1,7,2,8,4,6]=>4 [4,5,7,1,2,8,3,6]=>4 [4,5,7,2,1,8,3,6]=>4 [4,6,7,2,8,1,3,5]=>4 [4,6,7,2,8,3,1,5]=>4 [4,6,7,2,8,3,5,1]=>4 [3,6,2,7,8,4,5,1]=>4 [3,6,2,7,8,4,1,5]=>4 [3,6,2,7,8,1,4,5]=>4 [3,5,2,7,1,8,4,6]=>4 [3,4,2,1,7,8,5,6]=>4 [3,4,1,2,7,8,5,6]=>4 [2,1,4,3,7,8,5,6]=>4 [2,1,4,3,7,8,6,5]=>4 [3,4,1,2,7,8,6,5]=>4 [3,4,2,1,7,8,6,5]=>4 [3,5,2,7,1,8,6,4]=>4 [3,6,2,7,8,1,5,4]=>4 [3,6,2,7,8,5,1,4]=>4 [3,6,2,7,8,5,4,1]=>4 [4,6,7,2,8,5,3,1]=>4 [4,6,7,2,8,5,1,3]=>4 [4,6,7,2,8,1,5,3]=>4 [4,5,7,2,1,8,6,3]=>4 [4,5,7,1,2,8,6,3]=>4 [3,5,1,7,2,8,6,4]=>4 [2,1,5,7,3,8,6,4]=>4 [2,1,6,7,8,3,5,4]=>4 [3,6,1,7,8,2,5,4]=>4 [4,6,7,1,8,2,5,3]=>4 [5,6,7,8,1,2,4,3]=>4 [5,6,7,8,2,1,4,3]=>4 [5,6,7,8,2,4,1,3]=>4 [5,6,7,8,2,4,3,1]=>4 [5,6,7,8,4,2,3,1]=>4 [5,6,7,8,4,2,1,3]=>4 [5,6,7,8,4,1,2,3]=>4 [5,6,7,8,1,4,2,3]=>4 [4,6,7,1,8,5,2,3]=>4 [3,6,1,7,8,5,2,4]=>4 [2,1,6,7,8,5,3,4]=>4 [2,1,6,7,8,5,4,3]=>4 [3,6,1,7,8,5,4,2]=>4 [4,6,7,1,8,5,3,2]=>4 [5,6,7,8,1,4,3,2]=>4 [5,6,7,8,4,1,3,2]=>4 [5,6,7,8,4,3,1,2]=>4 [5,6,7,8,4,3,2,1]=>4 [4,3,2,1,6,5,8,7]=>4 [5,3,2,6,1,4,8,7]=>4 [6,3,2,5,4,1,8,7]=>4 [7,3,2,5,4,8,1,6]=>4 [8,3,2,5,4,7,6,1]=>4 [8,4,5,2,3,7,6,1]=>4 [7,4,5,2,3,8,1,6]=>4 [6,4,5,2,3,1,8,7]=>4 [5,4,6,2,1,3,8,7]=>4 [2,1,6,5,4,3,8,7]=>4 [3,6,1,5,4,2,8,7]=>4 [4,6,5,1,3,2,8,7]=>4 [5,6,4,3,1,2,8,7]=>4 [6,5,4,3,2,1,8,7]=>4 [7,5,4,3,2,8,1,6]=>4 [8,5,4,3,2,7,6,1]=>4 [8,6,4,3,7,2,5,1]=>4 [7,6,4,3,8,2,1,5]=>4 [6,7,4,3,8,1,2,5]=>4 [5,7,4,3,1,8,2,6]=>4 [4,7,5,1,3,8,2,6]=>4 [3,7,1,5,4,8,2,6]=>4 [2,1,7,5,4,8,3,6]=>4 [2,1,8,5,4,7,6,3]=>4 [3,8,1,5,4,7,6,2]=>4 [4,8,5,1,3,7,6,2]=>4 [5,8,4,3,1,7,6,2]=>4 [6,8,4,3,7,1,5,2]=>4 [7,8,4,3,6,5,1,2]=>4 [8,7,4,3,6,5,2,1]=>4 [8,7,5,6,3,4,2,1]=>4 [7,8,5,6,3,4,1,2]=>4 [6,8,5,7,3,1,4,2]=>4 [5,8,6,7,1,3,4,2]=>4 [4,8,6,1,7,3,5,2]=>4 [3,8,1,6,7,4,5,2]=>4 [2,1,8,6,7,4,5,3]=>4 [2,1,7,6,8,4,3,5]=>4 [3,7,1,6,8,4,2,5]=>4 [4,7,6,1,8,3,2,5]=>4 [5,7,6,8,1,3,2,4]=>4 [6,7,5,8,3,1,2,4]=>4 [7,6,5,8,3,2,1,4]=>4 [8,6,5,7,3,2,4,1]=>4 [8,5,6,7,2,3,4,1]=>4 [7,5,6,8,2,3,1,4]=>4 [6,5,7,8,2,1,3,4]=>4 [5,4,7,2,1,8,3,6]=>4 [6,4,7,2,8,1,3,5]=>4 [7,4,6,2,8,3,1,5]=>4 [8,4,6,2,7,3,5,1]=>4 [8,3,2,6,7,4,5,1]=>4 [7,3,2,6,8,4,1,5]=>4 [6,3,2,7,8,1,4,5]=>4 [5,3,2,7,1,8,4,6]=>4 [4,3,2,1,7,8,5,6]=>4 [2,1,4,3,8,7,6,5]=>4 [3,4,1,2,8,7,6,5]=>4 [4,3,2,1,8,7,6,5]=>4 [5,3,2,8,1,7,6,4]=>4 [6,3,2,8,7,1,5,4]=>4 [7,3,2,8,6,5,1,4]=>4 [8,3,2,7,6,5,4,1]=>4 [8,4,7,2,6,5,3,1]=>4 [7,4,8,2,6,5,1,3]=>4 [6,4,8,2,7,1,5,3]=>4 [5,4,8,2,1,7,6,3]=>4 [4,5,8,1,2,7,6,3]=>4 [3,5,1,8,2,7,6,4]=>4 [2,1,5,8,3,7,6,4]=>4 [2,1,6,8,7,3,5,4]=>4 [3,6,1,8,7,2,5,4]=>4 [4,6,8,1,7,2,5,3]=>4 [5,6,8,7,1,2,4,3]=>4 [6,5,8,7,2,1,4,3]=>4 [7,5,8,6,2,4,1,3]=>4 [8,5,7,6,2,4,3,1]=>4 [8,6,7,5,4,2,3,1]=>4 [7,6,8,5,4,2,1,3]=>4 [6,7,8,5,4,1,2,3]=>4 [5,7,8,6,1,4,2,3]=>4 [4,7,8,1,6,5,2,3]=>4 [3,7,1,8,6,5,2,4]=>4 [2,1,7,8,6,5,3,4]=>4 [2,1,8,7,6,5,4,3]=>4 [3,8,1,7,6,5,4,2]=>4 [4,8,7,1,6,5,3,2]=>4 [5,8,7,6,1,4,3,2]=>4 [6,8,7,5,4,1,3,2]=>4 [7,8,6,5,4,3,1,2]=>4 [8,7,6,5,4,3,2,1]=>4
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Description
The number of Bastidas - Hohlweg - Saliola excedances of a signed permutation.
For a signed permutation $\sigma$, this equals
$$ \left\lfloor \dfrac{fexc(\sigma)+1}{2} \right\rfloor = exc(\sigma) + \left\lfloor \dfrac{neg(\sigma)+1}{2} \right\rfloor, $$
where
$$fexc(\sigma) = 2exc(\sigma) + neg(\sigma),$$
$$exc(\sigma) = |\{i \in [n-1] \,:\, \sigma(i) > i\}|,$$
$$neg(\sigma) = |\{i \in [n] \,:\, \sigma(i) < 0\}|.$$
This statistic has the same distribution as the descent statistic St001427The number of descents of a signed permutation..
References
[1] Bastidas, J. The polytope algebra of generalized permutahedra MathSciNet:4339357
[2] Bastidas, J., Hohlweg, C., Saliola, F. The Primitive Eulerian polynomial arXiv:2306.15556
Code
def statistic(w):
    exc = sum(1 for i in range(len(w)) if w[i] > i+1)
    neg = sum(1 for i in range(len(w)) if w[i] < 0)
    return (2*exc + neg + 1) // 2
Created
Jul 05, 2023 at 17:47 by Jose Bastidas
Updated
Jul 06, 2023 at 15:10 by Martin Rubey