Identifier
Values
=>
[1]=>[1]=>0 [-1]=>[-1]=>1 [1,2]=>[1,2]=>0 [1,-2]=>[1,-2]=>3 [-1,2]=>[-1,2]=>1 [-1,-2]=>[-1,-2]=>4 [2,1]=>[-2,1]=>2 [2,-1]=>[-2,-1]=>3 [-2,1]=>[2,1]=>1 [-2,-1]=>[2,-1]=>2 [1,2,3]=>[1,2,3]=>0 [1,2,-3]=>[1,2,-3]=>5 [1,-2,3]=>[1,-2,3]=>3 [1,-2,-3]=>[1,-2,-3]=>8 [-1,2,3]=>[-1,2,3]=>1 [-1,2,-3]=>[-1,2,-3]=>6 [-1,-2,3]=>[-1,-2,3]=>4 [-1,-2,-3]=>[-1,-2,-3]=>9 [1,3,2]=>[1,-3,2]=>4 [1,3,-2]=>[3,1,-2]=>5 [1,-3,2]=>[-3,1,2]=>3 [1,-3,-2]=>[1,3,-2]=>4 [-1,3,2]=>[-1,-3,2]=>5 [-1,3,-2]=>[3,-1,-2]=>6 [-1,-3,2]=>[-3,-1,2]=>4 [-1,-3,-2]=>[-1,3,-2]=>5 [2,1,3]=>[-2,1,3]=>2 [2,1,-3]=>[-2,1,-3]=>7 [2,-1,3]=>[-2,-1,3]=>3 [2,-1,-3]=>[-2,-1,-3]=>8 [-2,1,3]=>[2,1,3]=>1 [-2,1,-3]=>[2,1,-3]=>6 [-2,-1,3]=>[2,-1,3]=>2 [-2,-1,-3]=>[2,-1,-3]=>7 [2,3,1]=>[3,-2,1]=>4 [2,3,-1]=>[3,-2,-1]=>5 [2,-3,1]=>[3,2,1]=>3 [2,-3,-1]=>[3,2,-1]=>4 [-2,3,1]=>[-3,-2,1]=>5 [-2,3,-1]=>[-3,-2,-1]=>6 [-2,-3,1]=>[-3,2,1]=>4 [-2,-3,-1]=>[-3,2,-1]=>5 [3,1,2]=>[3,1,2]=>2 [3,1,-2]=>[1,-3,-2]=>7 [3,-1,2]=>[3,-1,2]=>3 [3,-1,-2]=>[-1,-3,-2]=>8 [-3,1,2]=>[1,3,2]=>1 [-3,1,-2]=>[-3,1,-2]=>6 [-3,-1,2]=>[-1,3,2]=>2 [-3,-1,-2]=>[-3,-1,-2]=>7 [3,2,1]=>[-2,-3,1]=>6 [3,2,-1]=>[-2,-3,-1]=>7 [3,-2,1]=>[-2,3,1]=>3 [3,-2,-1]=>[-2,3,-1]=>4 [-3,2,1]=>[2,-3,1]=>5 [-3,2,-1]=>[2,-3,-1]=>6 [-3,-2,1]=>[2,3,1]=>2 [-3,-2,-1]=>[2,3,-1]=>3 [1,2,3,4]=>[1,2,3,4]=>0 [1,2,3,-4]=>[1,2,3,-4]=>7 [1,2,-3,4]=>[1,2,-3,4]=>5 [1,2,-3,-4]=>[1,2,-3,-4]=>12 [1,-2,3,4]=>[1,-2,3,4]=>3 [1,-2,3,-4]=>[1,-2,3,-4]=>10 [1,-2,-3,4]=>[1,-2,-3,4]=>8 [1,-2,-3,-4]=>[1,-2,-3,-4]=>15 [-1,2,3,4]=>[-1,2,3,4]=>1 [-1,2,3,-4]=>[-1,2,3,-4]=>8 [-1,2,-3,4]=>[-1,2,-3,4]=>6 [-1,2,-3,-4]=>[-1,2,-3,-4]=>13 [-1,-2,3,4]=>[-1,-2,3,4]=>4 [-1,-2,3,-4]=>[-1,-2,3,-4]=>11 [-1,-2,-3,4]=>[-1,-2,-3,4]=>9 [-1,-2,-3,-4]=>[-1,-2,-3,-4]=>16 [1,2,4,3]=>[1,2,-4,3]=>6 [1,2,4,-3]=>[1,4,2,-3]=>7 [1,2,-4,3]=>[1,-4,2,3]=>5 [1,2,-4,-3]=>[1,2,4,-3]=>6 [1,-2,4,3]=>[1,-2,-4,3]=>9 [1,-2,4,-3]=>[1,4,-2,-3]=>10 [1,-2,-4,3]=>[1,-4,-2,3]=>8 [1,-2,-4,-3]=>[1,-2,4,-3]=>9 [-1,2,4,3]=>[-1,2,-4,3]=>7 [-1,2,4,-3]=>[-1,4,2,-3]=>8 [-1,2,-4,3]=>[-1,-4,2,3]=>6 [-1,2,-4,-3]=>[-1,2,4,-3]=>7 [-1,-2,4,3]=>[-1,-2,-4,3]=>10 [-1,-2,4,-3]=>[-1,4,-2,-3]=>11 [-1,-2,-4,3]=>[-1,-4,-2,3]=>9 [-1,-2,-4,-3]=>[-1,-2,4,-3]=>10 [1,3,2,4]=>[1,-3,2,4]=>4 [1,3,2,-4]=>[1,-3,2,-4]=>11 [1,3,-2,4]=>[3,1,-2,4]=>5 [1,3,-2,-4]=>[3,1,-2,-4]=>12 [1,-3,2,4]=>[-3,1,2,4]=>3 [1,-3,2,-4]=>[-3,1,2,-4]=>10 [1,-3,-2,4]=>[1,3,-2,4]=>4 [1,-3,-2,-4]=>[1,3,-2,-4]=>11 [-1,3,2,4]=>[-1,-3,2,4]=>5 [-1,3,2,-4]=>[-1,-3,2,-4]=>12 [-1,3,-2,4]=>[3,-1,-2,4]=>6 [-1,3,-2,-4]=>[3,-1,-2,-4]=>13 [-1,-3,2,4]=>[-3,-1,2,4]=>4 [-1,-3,2,-4]=>[-3,-1,2,-4]=>11 [-1,-3,-2,4]=>[-1,3,-2,4]=>5 [-1,-3,-2,-4]=>[-1,3,-2,-4]=>12 [1,3,4,2]=>[1,4,-3,2]=>6 [1,3,4,-2]=>[3,4,1,-2]=>7 [1,3,-4,2]=>[-4,1,3,2]=>5 [1,3,-4,-2]=>[1,4,3,-2]=>6 [1,-3,4,2]=>[1,-4,-3,2]=>9 [1,-3,4,-2]=>[4,1,-3,-2]=>10 [1,-3,-4,2]=>[-3,-4,1,2]=>8 [1,-3,-4,-2]=>[1,-4,3,-2]=>9 [-1,3,4,2]=>[-1,4,-3,2]=>7 [-1,3,4,-2]=>[3,4,-1,-2]=>8 [-1,3,-4,2]=>[-4,-1,3,2]=>6 [-1,3,-4,-2]=>[-1,4,3,-2]=>7 [-1,-3,4,2]=>[-1,-4,-3,2]=>10 [-1,-3,4,-2]=>[4,-1,-3,-2]=>11 [-1,-3,-4,2]=>[-3,-4,-1,2]=>9 [-1,-3,-4,-2]=>[-1,-4,3,-2]=>10 [1,4,2,3]=>[-4,1,2,3]=>4 [1,4,2,-3]=>[1,2,-4,-3]=>11 [1,4,-2,3]=>[1,4,-2,3]=>5 [1,4,-2,-3]=>[-4,1,-2,-3]=>12 [1,-4,2,3]=>[4,1,2,3]=>3 [1,-4,2,-3]=>[1,-4,2,-3]=>10 [1,-4,-2,3]=>[1,-2,4,3]=>4 [1,-4,-2,-3]=>[4,1,-2,-3]=>11 [-1,4,2,3]=>[-4,-1,2,3]=>5 [-1,4,2,-3]=>[-1,2,-4,-3]=>12 [-1,4,-2,3]=>[-1,4,-2,3]=>6 [-1,4,-2,-3]=>[-4,-1,-2,-3]=>13 [-1,-4,2,3]=>[4,-1,2,3]=>4 [-1,-4,2,-3]=>[-1,-4,2,-3]=>11 [-1,-4,-2,3]=>[-1,-2,4,3]=>5 [-1,-4,-2,-3]=>[4,-1,-2,-3]=>12 [1,4,3,2]=>[1,-3,-4,2]=>10 [1,4,3,-2]=>[3,1,-4,-2]=>11 [1,4,-3,2]=>[1,-3,4,2]=>5 [1,4,-3,-2]=>[3,1,4,-2]=>6 [1,-4,3,2]=>[-3,1,-4,2]=>9 [1,-4,3,-2]=>[1,3,-4,-2]=>10 [1,-4,-3,2]=>[-3,1,4,2]=>4 [1,-4,-3,-2]=>[1,3,4,-2]=>5 [-1,4,3,2]=>[-1,-3,-4,2]=>11 [-1,4,3,-2]=>[3,-1,-4,-2]=>12 [-1,4,-3,2]=>[-1,-3,4,2]=>6 [-1,4,-3,-2]=>[3,-1,4,-2]=>7 [-1,-4,3,2]=>[-3,-1,-4,2]=>10 [-1,-4,3,-2]=>[-1,3,-4,-2]=>11 [-1,-4,-3,2]=>[-3,-1,4,2]=>5 [-1,-4,-3,-2]=>[-1,3,4,-2]=>6 [2,1,3,4]=>[-2,1,3,4]=>2 [2,1,3,-4]=>[-2,1,3,-4]=>9 [2,1,-3,4]=>[-2,1,-3,4]=>7 [2,1,-3,-4]=>[-2,1,-3,-4]=>14 [2,-1,3,4]=>[-2,-1,3,4]=>3 [2,-1,3,-4]=>[-2,-1,3,-4]=>10 [2,-1,-3,4]=>[-2,-1,-3,4]=>8 [2,-1,-3,-4]=>[-2,-1,-3,-4]=>15 [-2,1,3,4]=>[2,1,3,4]=>1 [-2,1,3,-4]=>[2,1,3,-4]=>8 [-2,1,-3,4]=>[2,1,-3,4]=>6 [-2,1,-3,-4]=>[2,1,-3,-4]=>13 [-2,-1,3,4]=>[2,-1,3,4]=>2 [-2,-1,3,-4]=>[2,-1,3,-4]=>9 [-2,-1,-3,4]=>[2,-1,-3,4]=>7 [-2,-1,-3,-4]=>[2,-1,-3,-4]=>14 [2,1,4,3]=>[-2,1,-4,3]=>8 [2,1,4,-3]=>[-2,4,1,-3]=>9 [2,1,-4,3]=>[-2,-4,1,3]=>7 [2,1,-4,-3]=>[-2,1,4,-3]=>8 [2,-1,4,3]=>[-2,-1,-4,3]=>9 [2,-1,4,-3]=>[-2,4,-1,-3]=>10 [2,-1,-4,3]=>[-2,-4,-1,3]=>8 [2,-1,-4,-3]=>[-2,-1,4,-3]=>9 [-2,1,4,3]=>[2,1,-4,3]=>7 [-2,1,4,-3]=>[2,4,1,-3]=>8 [-2,1,-4,3]=>[2,-4,1,3]=>6 [-2,1,-4,-3]=>[2,1,4,-3]=>7 [-2,-1,4,3]=>[2,-1,-4,3]=>8 [-2,-1,4,-3]=>[2,4,-1,-3]=>9 [-2,-1,-4,3]=>[2,-4,-1,3]=>7 [-2,-1,-4,-3]=>[2,-1,4,-3]=>8 [2,3,1,4]=>[3,-2,1,4]=>4 [2,3,1,-4]=>[3,-2,1,-4]=>11 [2,3,-1,4]=>[3,-2,-1,4]=>5 [2,3,-1,-4]=>[3,-2,-1,-4]=>12 [2,-3,1,4]=>[3,2,1,4]=>3 [2,-3,1,-4]=>[3,2,1,-4]=>10 [2,-3,-1,4]=>[3,2,-1,4]=>4 [2,-3,-1,-4]=>[3,2,-1,-4]=>11 [-2,3,1,4]=>[-3,-2,1,4]=>5 [-2,3,1,-4]=>[-3,-2,1,-4]=>12 [-2,3,-1,4]=>[-3,-2,-1,4]=>6 [-2,3,-1,-4]=>[-3,-2,-1,-4]=>13 [-2,-3,1,4]=>[-3,2,1,4]=>4 [-2,-3,1,-4]=>[-3,2,1,-4]=>11 [-2,-3,-1,4]=>[-3,2,-1,4]=>5 [-2,-3,-1,-4]=>[-3,2,-1,-4]=>12 [2,3,4,1]=>[3,4,-2,1]=>6 [2,3,4,-1]=>[3,4,-2,-1]=>7 [2,3,-4,1]=>[4,2,3,1]=>5 [2,3,-4,-1]=>[4,2,3,-1]=>6 [2,-3,4,1]=>[4,-2,-3,1]=>9 [2,-3,4,-1]=>[4,-2,-3,-1]=>10 [2,-3,-4,1]=>[3,-4,2,1]=>8 [2,-3,-4,-1]=>[3,-4,2,-1]=>9 [-2,3,4,1]=>[-3,4,-2,1]=>7 [-2,3,4,-1]=>[-3,4,-2,-1]=>8 [-2,3,-4,1]=>[-4,2,3,1]=>6 [-2,3,-4,-1]=>[-4,2,3,-1]=>7 [-2,-3,4,1]=>[-4,-2,-3,1]=>10 [-2,-3,4,-1]=>[-4,-2,-3,-1]=>11 [-2,-3,-4,1]=>[-3,-4,2,1]=>9 [-2,-3,-4,-1]=>[-3,-4,2,-1]=>10 [2,4,1,3]=>[-2,4,1,3]=>4 [2,4,1,-3]=>[-4,-2,1,-3]=>11 [2,4,-1,3]=>[-2,4,-1,3]=>5 [2,4,-1,-3]=>[-4,-2,-1,-3]=>12 [2,-4,1,3]=>[2,4,1,3]=>3 [2,-4,1,-3]=>[-4,2,1,-3]=>10 [2,-4,-1,3]=>[2,4,-1,3]=>4 [2,-4,-1,-3]=>[-4,2,-1,-3]=>11 [-2,4,1,3]=>[4,-2,1,3]=>5 [-2,4,1,-3]=>[-2,-4,1,-3]=>12 [-2,4,-1,3]=>[4,-2,-1,3]=>6 [-2,4,-1,-3]=>[-2,-4,-1,-3]=>13 [-2,-4,1,3]=>[4,2,1,3]=>4 [-2,-4,1,-3]=>[2,-4,1,-3]=>11 [-2,-4,-1,3]=>[4,2,-1,3]=>5 [-2,-4,-1,-3]=>[2,-4,-1,-3]=>12 [2,4,3,1]=>[3,-2,-4,1]=>10 [2,4,3,-1]=>[3,-2,-4,-1]=>11 [2,4,-3,1]=>[3,4,2,1]=>5 [2,4,-3,-1]=>[3,4,2,-1]=>6 [2,-4,3,1]=>[-2,3,-4,1]=>9 [2,-4,3,-1]=>[-2,3,-4,-1]=>10 [2,-4,-3,1]=>[3,2,4,1]=>4 [2,-4,-3,-1]=>[3,2,4,-1]=>5 [-2,4,3,1]=>[-3,-2,-4,1]=>11 [-2,4,3,-1]=>[-3,-2,-4,-1]=>12 [-2,4,-3,1]=>[2,-3,4,1]=>6 [-2,4,-3,-1]=>[2,-3,4,-1]=>7 [-2,-4,3,1]=>[-3,-4,-2,1]=>10 [-2,-4,3,-1]=>[-3,-4,-2,-1]=>11 [-2,-4,-3,1]=>[-3,2,4,1]=>5 [-2,-4,-3,-1]=>[-3,2,4,-1]=>6 [3,1,2,4]=>[3,1,2,4]=>2 [3,1,2,-4]=>[3,1,2,-4]=>9 [3,1,-2,4]=>[1,-3,-2,4]=>7 [3,1,-2,-4]=>[1,-3,-2,-4]=>14 [3,-1,2,4]=>[3,-1,2,4]=>3 [3,-1,2,-4]=>[3,-1,2,-4]=>10 [3,-1,-2,4]=>[-1,-3,-2,4]=>8 [3,-1,-2,-4]=>[-1,-3,-2,-4]=>15 [-3,1,2,4]=>[1,3,2,4]=>1 [-3,1,2,-4]=>[1,3,2,-4]=>8 [-3,1,-2,4]=>[-3,1,-2,4]=>6 [-3,1,-2,-4]=>[-3,1,-2,-4]=>13 [-3,-1,2,4]=>[-1,3,2,4]=>2 [-3,-1,2,-4]=>[-1,3,2,-4]=>9 [-3,-1,-2,4]=>[-3,-1,-2,4]=>7 [-3,-1,-2,-4]=>[-3,-1,-2,-4]=>14 [3,1,4,2]=>[-4,1,-3,2]=>8 [3,1,4,-2]=>[1,4,-3,-2]=>9 [3,1,-4,2]=>[3,-4,1,2]=>7 [3,1,-4,-2]=>[-4,1,3,-2]=>8 [3,-1,4,2]=>[-4,-1,-3,2]=>9 [3,-1,4,-2]=>[-1,4,-3,-2]=>10 [3,-1,-4,2]=>[3,-4,-1,2]=>8 [3,-1,-4,-2]=>[-4,-1,3,-2]=>9 [-3,1,4,2]=>[4,1,-3,2]=>7 [-3,1,4,-2]=>[-3,4,1,-2]=>8 [-3,1,-4,2]=>[1,-4,3,2]=>6 [-3,1,-4,-2]=>[4,1,3,-2]=>7 [-3,-1,4,2]=>[4,-1,-3,2]=>8 [-3,-1,4,-2]=>[-3,4,-1,-2]=>9 [-3,-1,-4,2]=>[-1,-4,3,2]=>7 [-3,-1,-4,-2]=>[4,-1,3,-2]=>8 [3,2,1,4]=>[-2,-3,1,4]=>6 [3,2,1,-4]=>[-2,-3,1,-4]=>13 [3,2,-1,4]=>[-2,-3,-1,4]=>7 [3,2,-1,-4]=>[-2,-3,-1,-4]=>14 [3,-2,1,4]=>[-2,3,1,4]=>3 [3,-2,1,-4]=>[-2,3,1,-4]=>10 [3,-2,-1,4]=>[-2,3,-1,4]=>4 [3,-2,-1,-4]=>[-2,3,-1,-4]=>11 [-3,2,1,4]=>[2,-3,1,4]=>5 [-3,2,1,-4]=>[2,-3,1,-4]=>12 [-3,2,-1,4]=>[2,-3,-1,4]=>6 [-3,2,-1,-4]=>[2,-3,-1,-4]=>13 [-3,-2,1,4]=>[2,3,1,4]=>2 [-3,-2,1,-4]=>[2,3,1,-4]=>9 [-3,-2,-1,4]=>[2,3,-1,4]=>3 [-3,-2,-1,-4]=>[2,3,-1,-4]=>10 [3,2,4,1]=>[-2,4,-3,1]=>8 [3,2,4,-1]=>[-2,4,-3,-1]=>9 [3,2,-4,1]=>[-4,3,2,1]=>7 [3,2,-4,-1]=>[-4,3,2,-1]=>8 [3,-2,4,1]=>[-4,-3,-2,1]=>9 [3,-2,4,-1]=>[-4,-3,-2,-1]=>10 [3,-2,-4,1]=>[-2,-4,3,1]=>8 [3,-2,-4,-1]=>[-2,-4,3,-1]=>9 [-3,2,4,1]=>[2,4,-3,1]=>7 [-3,2,4,-1]=>[2,4,-3,-1]=>8 [-3,2,-4,1]=>[4,3,2,1]=>6 [-3,2,-4,-1]=>[4,3,2,-1]=>7 [-3,-2,4,1]=>[4,-3,-2,1]=>8 [-3,-2,4,-1]=>[4,-3,-2,-1]=>9 [-3,-2,-4,1]=>[2,-4,3,1]=>7 [-3,-2,-4,-1]=>[2,-4,3,-1]=>8 [3,4,1,2]=>[3,4,1,2]=>4 [3,4,1,-2]=>[-4,1,-3,-2]=>11 [3,4,-1,2]=>[3,4,-1,2]=>5 [3,4,-1,-2]=>[-4,-1,-3,-2]=>12 [3,-4,1,2]=>[1,4,3,2]=>3 [3,-4,1,-2]=>[3,-4,1,-2]=>10 [3,-4,-1,2]=>[-1,4,3,2]=>4 [3,-4,-1,-2]=>[3,-4,-1,-2]=>11 [-3,4,1,2]=>[-3,4,1,2]=>5 [-3,4,1,-2]=>[1,-4,-3,-2]=>12 [-3,4,-1,2]=>[-3,4,-1,2]=>6 [-3,4,-1,-2]=>[-1,-4,-3,-2]=>13 [-3,-4,1,2]=>[4,1,3,2]=>4 [-3,-4,1,-2]=>[-3,-4,1,-2]=>11 [-3,-4,-1,2]=>[4,-1,3,2]=>5 [-3,-4,-1,-2]=>[-3,-4,-1,-2]=>12 [3,4,2,1]=>[2,-4,-3,1]=>10 [3,4,2,-1]=>[2,-4,-3,-1]=>11 [3,4,-2,1]=>[3,-2,4,1]=>5 [3,4,-2,-1]=>[3,-2,4,-1]=>6 [3,-4,2,1]=>[3,2,-4,1]=>9 [3,-4,2,-1]=>[3,2,-4,-1]=>10 [3,-4,-2,1]=>[2,4,3,1]=>4 [3,-4,-2,-1]=>[2,4,3,-1]=>5 [-3,4,2,1]=>[-2,-4,-3,1]=>11 [-3,4,2,-1]=>[-2,-4,-3,-1]=>12 [-3,4,-2,1]=>[-3,-2,4,1]=>6 [-3,4,-2,-1]=>[-3,-2,4,-1]=>7 [-3,-4,2,1]=>[-3,2,-4,1]=>10 [-3,-4,2,-1]=>[-3,2,-4,-1]=>11 [-3,-4,-2,1]=>[-2,4,3,1]=>5 [-3,-4,-2,-1]=>[-2,4,3,-1]=>6 [4,1,2,3]=>[1,4,2,3]=>2 [4,1,2,-3]=>[-4,1,2,-3]=>9 [4,1,-2,3]=>[-4,1,-2,3]=>7 [4,1,-2,-3]=>[1,-2,-4,-3]=>14 [4,-1,2,3]=>[-1,4,2,3]=>3 [4,-1,2,-3]=>[-4,-1,2,-3]=>10 [4,-1,-2,3]=>[-4,-1,-2,3]=>8 [4,-1,-2,-3]=>[-1,-2,-4,-3]=>15 [-4,1,2,3]=>[1,2,4,3]=>1 [-4,1,2,-3]=>[4,1,2,-3]=>8 [-4,1,-2,3]=>[4,1,-2,3]=>6 [-4,1,-2,-3]=>[1,-4,-2,-3]=>13 [-4,-1,2,3]=>[-1,2,4,3]=>2 [-4,-1,2,-3]=>[4,-1,2,-3]=>9 [-4,-1,-2,3]=>[4,-1,-2,3]=>7 [-4,-1,-2,-3]=>[-1,-4,-2,-3]=>14 [4,1,3,2]=>[3,1,-4,2]=>8 [4,1,3,-2]=>[-4,3,1,-2]=>9 [4,1,-3,2]=>[-4,-3,1,2]=>7 [4,1,-3,-2]=>[1,-3,4,-2]=>8 [4,-1,3,2]=>[3,-1,-4,2]=>9 [4,-1,3,-2]=>[-4,3,-1,-2]=>10 [4,-1,-3,2]=>[-4,-3,-1,2]=>8 [4,-1,-3,-2]=>[-1,-3,4,-2]=>9 [-4,1,3,2]=>[1,3,-4,2]=>7 [-4,1,3,-2]=>[4,3,1,-2]=>8 [-4,1,-3,2]=>[4,-3,1,2]=>6 [-4,1,-3,-2]=>[-3,1,4,-2]=>7 [-4,-1,3,2]=>[-1,3,-4,2]=>8 [-4,-1,3,-2]=>[4,3,-1,-2]=>9 [-4,-1,-3,2]=>[4,-3,-1,2]=>7 [-4,-1,-3,-2]=>[-3,-1,4,-2]=>8 [4,2,1,3]=>[-4,-2,1,3]=>6 [4,2,1,-3]=>[-2,1,-4,-3]=>13 [4,2,-1,3]=>[-4,-2,-1,3]=>7 [4,2,-1,-3]=>[-2,-1,-4,-3]=>14 [4,-2,1,3]=>[-2,1,4,3]=>3 [4,-2,1,-3]=>[4,-2,1,-3]=>10 [4,-2,-1,3]=>[-2,-1,4,3]=>4 [4,-2,-1,-3]=>[4,-2,-1,-3]=>11 [-4,2,1,3]=>[-4,2,1,3]=>5 [-4,2,1,-3]=>[2,1,-4,-3]=>12 [-4,2,-1,3]=>[-4,2,-1,3]=>6 [-4,2,-1,-3]=>[2,-1,-4,-3]=>13 [-4,-2,1,3]=>[2,1,4,3]=>2 [-4,-2,1,-3]=>[4,2,1,-3]=>9 [-4,-2,-1,3]=>[2,-1,4,3]=>3 [-4,-2,-1,-3]=>[4,2,-1,-3]=>10 [4,2,3,1]=>[2,3,-4,1]=>8 [4,2,3,-1]=>[2,3,-4,-1]=>9 [4,2,-3,1]=>[4,-3,2,1]=>7 [4,2,-3,-1]=>[4,-3,2,-1]=>8 [4,-2,3,1]=>[3,-4,-2,1]=>9 [4,-2,3,-1]=>[3,-4,-2,-1]=>10 [4,-2,-3,1]=>[-4,-3,2,1]=>8 [4,-2,-3,-1]=>[-4,-3,2,-1]=>9 [-4,2,3,1]=>[4,3,-2,1]=>7 [-4,2,3,-1]=>[4,3,-2,-1]=>8 [-4,2,-3,1]=>[-3,4,2,1]=>6 [-4,2,-3,-1]=>[-3,4,2,-1]=>7 [-4,-2,3,1]=>[-4,3,-2,1]=>8 [-4,-2,3,-1]=>[-4,3,-2,-1]=>9 [-4,-2,-3,1]=>[-2,-3,4,1]=>7 [-4,-2,-3,-1]=>[-2,-3,4,-1]=>8 [4,3,1,2]=>[-4,3,1,2]=>6 [4,3,1,-2]=>[1,-3,-4,-2]=>13 [4,3,-1,2]=>[-4,3,-1,2]=>7 [4,3,-1,-2]=>[-1,-3,-4,-2]=>14 [4,-3,1,2]=>[3,1,4,2]=>3 [4,-3,1,-2]=>[-4,-3,1,-2]=>10 [4,-3,-1,2]=>[3,-1,4,2]=>4 [4,-3,-1,-2]=>[-4,-3,-1,-2]=>11 [-4,3,1,2]=>[4,3,1,2]=>5 [-4,3,1,-2]=>[-3,1,-4,-2]=>12 [-4,3,-1,2]=>[4,3,-1,2]=>6 [-4,3,-1,-2]=>[-3,-1,-4,-2]=>13 [-4,-3,1,2]=>[1,3,4,2]=>2 [-4,-3,1,-2]=>[4,-3,1,-2]=>9 [-4,-3,-1,2]=>[-1,3,4,2]=>3 [-4,-3,-1,-2]=>[4,-3,-1,-2]=>10 [4,3,2,1]=>[-2,-3,-4,1]=>12 [4,3,2,-1]=>[-2,-3,-4,-1]=>13 [4,3,-2,1]=>[-4,-2,3,1]=>7 [4,3,-2,-1]=>[-4,-2,3,-1]=>8 [4,-3,2,1]=>[-4,2,-3,1]=>9 [4,-3,2,-1]=>[-4,2,-3,-1]=>10 [4,-3,-2,1]=>[-2,3,4,1]=>4 [4,-3,-2,-1]=>[-2,3,4,-1]=>5 [-4,3,2,1]=>[2,-3,-4,1]=>11 [-4,3,2,-1]=>[2,-3,-4,-1]=>12 [-4,3,-2,1]=>[4,-2,3,1]=>6 [-4,3,-2,-1]=>[4,-2,3,-1]=>7 [-4,-3,2,1]=>[4,2,-3,1]=>8 [-4,-3,2,-1]=>[4,2,-3,-1]=>9 [-4,-3,-2,1]=>[2,3,4,1]=>3 [-4,-3,-2,-1]=>[2,3,4,-1]=>4 [1,2,3,4,5]=>[1,2,3,4,5]=>0 [1,2,3,4,-5]=>[1,2,3,4,-5]=>9 [-1,2,3,4,5]=>[-1,2,3,4,5]=>1 [1,2,3,5,-4]=>[1,2,5,3,-4]=>9 [1,2,3,-5,-4]=>[1,2,3,5,-4]=>8 [1,2,4,5,-3]=>[1,4,5,2,-3]=>9 [1,2,4,-5,-3]=>[1,2,5,4,-3]=>8 [1,2,5,-4,-3]=>[1,4,2,5,-3]=>8 [1,2,-5,-4,-3]=>[1,2,4,5,-3]=>7 [1,3,4,5,-2]=>[3,4,5,1,-2]=>9 [1,3,4,-5,-2]=>[1,5,3,4,-2]=>8 [1,3,-5,2,4]=>[5,1,3,2,4]=>5 [-1,3,-5,2,4]=>[5,-1,3,2,4]=>6 [1,3,5,-4,-2]=>[1,4,5,3,-2]=>8 [1,3,-5,-4,-2]=>[1,4,3,5,-2]=>7 [1,-4,2,3,5]=>[4,1,2,3,5]=>3 [1,-4,2,3,-5]=>[4,1,2,3,-5]=>12 [-1,-4,2,3,5]=>[4,-1,2,3,5]=>4 [1,4,-5,2,3]=>[5,1,2,4,3]=>5 [-1,4,-5,2,3]=>[5,-1,2,4,3]=>6 [1,4,5,-3,-2]=>[3,4,1,5,-2]=>8 [1,4,-5,-3,-2]=>[1,3,5,4,-2]=>7 [1,5,2,3,4]=>[5,1,2,3,4]=>4 [1,-5,2,3,4]=>[1,5,2,3,4]=>3 [-1,5,2,3,4]=>[5,-1,2,3,4]=>5 [-1,-5,2,3,4]=>[-1,5,2,3,4]=>4 [1,-5,-4,2,3]=>[4,1,2,5,3]=>4 [-1,-5,-4,2,3]=>[4,-1,2,5,3]=>5 [1,5,-4,-3,-2]=>[3,1,4,5,-2]=>7 [1,-5,-4,-3,-2]=>[1,3,4,5,-2]=>6 [-2,1,3,4,5]=>[2,1,3,4,5]=>1 [-2,1,3,4,-5]=>[2,1,3,4,-5]=>10 [-2,-1,3,4,5]=>[2,-1,3,4,5]=>2 [-2,1,3,5,-4]=>[2,1,5,3,-4]=>10 [-2,1,3,-5,-4]=>[2,1,3,5,-4]=>9 [-2,1,4,5,-3]=>[2,4,5,1,-3]=>10 [-2,1,4,-5,-3]=>[2,1,5,4,-3]=>9 [-2,1,5,-4,-3]=>[2,4,1,5,-3]=>9 [-2,1,-5,-4,-3]=>[2,1,4,5,-3]=>8 [2,-3,1,4,5]=>[3,2,1,4,5]=>3 [2,-3,1,4,-5]=>[3,2,1,4,-5]=>12 [2,-3,-1,4,5]=>[3,2,-1,4,5]=>4 [2,-3,1,5,-4]=>[3,2,5,1,-4]=>12 [2,-3,1,-5,-4]=>[3,2,1,5,-4]=>11 [2,3,-4,1,5]=>[4,2,3,1,5]=>5 [2,3,-4,1,-5]=>[4,2,3,1,-5]=>14 [2,3,-4,-1,5]=>[4,2,3,-1,5]=>6 [2,3,4,-5,1]=>[5,2,3,4,1]=>7 [2,3,4,-5,-1]=>[5,2,3,4,-1]=>8 [2,3,-5,1,4]=>[2,5,3,1,4]=>5 [2,3,-5,-1,4]=>[2,5,3,-1,4]=>6 [-2,3,-5,1,4]=>[5,2,3,1,4]=>6 [-2,3,-5,-1,4]=>[5,2,3,-1,4]=>7 [2,3,5,-4,1]=>[4,2,5,3,1]=>7 [2,3,5,-4,-1]=>[4,2,5,3,-1]=>8 [2,3,-5,-4,1]=>[4,2,3,5,1]=>6 [2,3,-5,-4,-1]=>[4,2,3,5,-1]=>7 [2,-4,1,3,5]=>[2,4,1,3,5]=>3 [2,-4,1,3,-5]=>[2,4,1,3,-5]=>12 [2,-4,-1,3,5]=>[2,4,-1,3,5]=>4 [-2,-4,1,3,5]=>[4,2,1,3,5]=>4 [-2,-4,1,3,-5]=>[4,2,1,3,-5]=>13 [-2,-4,-1,3,5]=>[4,2,-1,3,5]=>5 [2,-4,1,-5,-3]=>[5,2,1,4,-3]=>11 [2,4,-3,1,5]=>[3,4,2,1,5]=>5 [2,4,-3,1,-5]=>[3,4,2,1,-5]=>14 [2,4,-3,-1,5]=>[3,4,2,-1,5]=>6 [2,-4,-3,1,5]=>[3,2,4,1,5]=>4 [2,-4,-3,1,-5]=>[3,2,4,1,-5]=>13 [2,-4,-3,-1,5]=>[3,2,4,-1,5]=>5 [2,4,-5,1,3]=>[2,5,1,4,3]=>5 [2,4,-5,-1,3]=>[2,5,-1,4,3]=>6 [2,-4,-5,1,3]=>[5,4,2,1,3]=>8 [2,-4,-5,-1,3]=>[5,4,2,-1,3]=>9 [-2,4,-5,1,3]=>[5,2,1,4,3]=>6 [-2,4,-5,-1,3]=>[5,2,-1,4,3]=>7 [2,4,5,-3,1]=>[3,4,5,2,1]=>7 [2,4,5,-3,-1]=>[3,4,5,2,-1]=>8 [2,4,-5,-3,1]=>[3,2,5,4,1]=>6 [2,4,-5,-3,-1]=>[3,2,5,4,-1]=>7 [2,-5,1,3,4]=>[2,1,5,3,4]=>3 [2,-5,1,3,-4]=>[5,2,1,3,-4]=>12 [2,-5,-1,3,4]=>[2,-1,5,3,4]=>4 [-2,-5,1,3,4]=>[2,5,1,3,4]=>4 [-2,-5,-1,3,4]=>[2,5,-1,3,4]=>5 [2,-5,1,4,-3]=>[5,2,4,1,-3]=>12 [2,5,-3,1,4]=>[3,2,5,1,4]=>5 [2,5,-3,1,-4]=>[5,3,2,1,-4]=>14 [2,5,-3,-1,4]=>[3,2,5,-1,4]=>6 [2,-5,-3,1,4]=>[3,2,1,5,4]=>4 [2,-5,-3,1,-4]=>[3,5,2,1,-4]=>13 [2,-5,-3,-1,4]=>[3,2,-1,5,4]=>5 [2,5,-4,1,3]=>[2,4,5,1,3]=>5 [2,5,-4,-1,3]=>[2,4,5,-1,3]=>6 [2,-5,-4,1,3]=>[2,4,1,5,3]=>4 [2,-5,-4,-1,3]=>[2,4,-1,5,3]=>5 [-2,-5,-4,1,3]=>[4,2,1,5,3]=>5 [-2,-5,-4,-1,3]=>[4,2,-1,5,3]=>6 [2,5,-4,-3,1]=>[3,4,2,5,1]=>6 [2,5,-4,-3,-1]=>[3,4,2,5,-1]=>7 [2,-5,-4,-3,1]=>[3,2,4,5,1]=>5 [2,-5,-4,-3,-1]=>[3,2,4,5,-1]=>6 [3,1,2,4,5]=>[3,1,2,4,5]=>2 [3,1,2,4,-5]=>[3,1,2,4,-5]=>11 [3,-1,2,4,5]=>[3,-1,2,4,5]=>3 [-3,1,2,4,5]=>[1,3,2,4,5]=>1 [-3,1,2,4,-5]=>[1,3,2,4,-5]=>10 [-3,-1,2,4,5]=>[-1,3,2,4,5]=>2 [3,1,2,5,-4]=>[3,1,5,2,-4]=>11 [3,1,2,-5,-4]=>[3,1,2,5,-4]=>10 [-3,1,2,5,-4]=>[1,3,5,2,-4]=>10 [-3,1,2,-5,-4]=>[1,3,2,5,-4]=>9 [-3,1,4,-5,-2]=>[5,1,3,4,-2]=>9 [-3,1,5,-4,-2]=>[4,3,1,5,-2]=>9 [-3,1,-5,-4,-2]=>[4,1,3,5,-2]=>8 [-3,-2,1,4,5]=>[2,3,1,4,5]=>2 [-3,-2,1,4,-5]=>[2,3,1,4,-5]=>11 [-3,-2,-1,4,5]=>[2,3,-1,4,5]=>3 [-3,-2,1,5,-4]=>[2,3,5,1,-4]=>11 [-3,-2,1,-5,-4]=>[2,3,1,5,-4]=>10 [-3,2,-4,1,5]=>[4,3,2,1,5]=>6 [-3,2,-4,1,-5]=>[4,3,2,1,-5]=>15 [-3,2,-4,-1,5]=>[4,3,2,-1,5]=>7 [-3,2,4,-5,1]=>[5,3,2,4,1]=>8 [-3,2,4,-5,-1]=>[5,3,2,4,-1]=>9 [3,2,-5,1,4]=>[5,3,2,1,4]=>7 [3,2,-5,-1,4]=>[5,3,2,-1,4]=>8 [-3,2,-5,1,4]=>[3,5,2,1,4]=>6 [-3,2,-5,-1,4]=>[3,5,2,-1,4]=>7 [-3,2,5,-4,1]=>[4,3,5,2,1]=>8 [-3,2,5,-4,-1]=>[4,3,5,2,-1]=>9 [-3,2,-5,-4,1]=>[4,3,2,5,1]=>7 [-3,2,-5,-4,-1]=>[4,3,2,5,-1]=>8 [3,4,1,2,5]=>[3,4,1,2,5]=>4 [3,4,1,2,-5]=>[3,4,1,2,-5]=>13 [3,4,-1,2,5]=>[3,4,-1,2,5]=>5 [3,-4,1,2,5]=>[1,4,3,2,5]=>3 [3,-4,1,2,-5]=>[1,4,3,2,-5]=>12 [3,-4,-1,2,5]=>[-1,4,3,2,5]=>4 [-3,-4,1,2,5]=>[4,1,3,2,5]=>4 [-3,-4,1,2,-5]=>[4,1,3,2,-5]=>13 [-3,-4,-1,2,5]=>[4,-1,3,2,5]=>5 [3,-4,1,-5,-2]=>[5,4,1,3,-2]=>11 [3,-4,-2,1,5]=>[2,4,3,1,5]=>4 [3,-4,-2,1,-5]=>[2,4,3,1,-5]=>13 [3,-4,-2,-1,5]=>[2,4,3,-1,5]=>5 [3,-4,2,-5,1]=>[5,4,3,2,1]=>10 [3,-4,2,-5,-1]=>[5,4,3,2,-1]=>11 [3,4,5,1,2]=>[3,4,5,1,2]=>6 [3,4,5,-1,2]=>[3,4,5,-1,2]=>7 [3,4,-5,1,2]=>[1,5,3,4,2]=>5 [3,4,-5,-1,2]=>[-1,5,3,4,2]=>6 [3,-4,-5,1,2]=>[5,4,1,3,2]=>8 [3,-4,-5,-1,2]=>[5,4,-1,3,2]=>9 [-3,4,-5,1,2]=>[5,1,3,4,2]=>6 [-3,4,-5,-1,2]=>[5,-1,3,4,2]=>7 [3,4,-5,-2,1]=>[2,5,3,4,1]=>6 [3,4,-5,-2,-1]=>[2,5,3,4,-1]=>7 [3,5,1,2,4]=>[3,1,5,2,4]=>4 [3,5,1,2,-4]=>[5,3,1,2,-4]=>13 [3,5,-1,2,4]=>[3,-1,5,2,4]=>5 [3,-5,1,2,4]=>[1,3,5,2,4]=>3 [3,-5,1,2,-4]=>[5,1,3,2,-4]=>12 [3,-5,-1,2,4]=>[-1,3,5,2,4]=>4 [-3,-5,1,2,4]=>[1,5,3,2,4]=>4 [-3,-5,-1,2,4]=>[-1,5,3,2,4]=>5 [3,-5,-2,1,4]=>[2,3,5,1,4]=>4 [3,-5,-2,1,-4]=>[5,2,3,1,-4]=>13 [3,-5,-2,-1,4]=>[2,3,5,-1,4]=>5 [3,5,-4,1,2]=>[1,4,5,3,2]=>5 [3,5,-4,-1,2]=>[-1,4,5,3,2]=>6 [3,-5,-4,1,2]=>[1,4,3,5,2]=>4 [3,-5,-4,-1,2]=>[-1,4,3,5,2]=>5 [-3,5,-4,1,2]=>[4,3,1,5,2]=>6 [-3,5,-4,-1,2]=>[4,3,-1,5,2]=>7 [-3,-5,-4,1,2]=>[4,1,3,5,2]=>5 [-3,-5,-4,-1,2]=>[4,-1,3,5,2]=>6 [3,5,-4,-2,1]=>[2,4,5,3,1]=>6 [3,5,-4,-2,-1]=>[2,4,5,3,-1]=>7 [3,-5,-4,-2,1]=>[2,4,3,5,1]=>5 [3,-5,-4,-2,-1]=>[2,4,3,5,-1]=>6 [4,1,2,3,5]=>[1,4,2,3,5]=>2 [4,1,2,3,-5]=>[1,4,2,3,-5]=>11 [4,-1,2,3,5]=>[-1,4,2,3,5]=>3 [-4,1,2,3,5]=>[1,2,4,3,5]=>1 [-4,1,2,3,-5]=>[1,2,4,3,-5]=>10 [-4,-1,2,3,5]=>[-1,2,4,3,5]=>2 [4,1,2,-5,-3]=>[5,1,2,4,-3]=>10 [-4,1,2,5,-3]=>[4,1,5,2,-3]=>10 [-4,1,2,-5,-3]=>[1,5,2,4,-3]=>9 [4,1,3,-5,-2]=>[5,1,4,3,-2]=>10 [-4,1,3,5,-2]=>[4,3,5,1,-2]=>10 [-4,1,3,-5,-2]=>[1,5,4,3,-2]=>9 [4,1,-5,2,3]=>[5,4,1,2,3]=>7 [4,-1,-5,2,3]=>[5,4,-1,2,3]=>8 [-4,1,-5,-3,-2]=>[3,1,5,4,-2]=>8 [-4,-2,1,3,5]=>[2,1,4,3,5]=>2 [-4,-2,1,3,-5]=>[2,1,4,3,-5]=>11 [-4,-2,-1,3,5]=>[2,-1,4,3,5]=>3 [-4,-2,1,5,-3]=>[4,2,5,1,-3]=>11 [-4,-2,1,-5,-3]=>[2,5,1,4,-3]=>10 [4,2,3,-5,1]=>[5,4,2,3,1]=>9 [4,2,3,-5,-1]=>[5,4,2,3,-1]=>10 [-4,2,3,-5,1]=>[5,2,4,3,1]=>8 [-4,2,3,-5,-1]=>[5,2,4,3,-1]=>9 [4,2,-5,1,3]=>[5,2,4,1,3]=>7 [4,2,-5,-1,3]=>[5,2,4,-1,3]=>8 [-4,2,-5,1,3]=>[2,5,4,1,3]=>6 [-4,2,-5,-1,3]=>[2,5,4,-1,3]=>7 [-4,2,-5,-3,1]=>[3,5,2,4,1]=>7 [-4,2,-5,-3,-1]=>[3,5,2,4,-1]=>8 [4,-3,1,2,5]=>[3,1,4,2,5]=>3 [4,-3,1,2,-5]=>[3,1,4,2,-5]=>12 [4,-3,-1,2,5]=>[3,-1,4,2,5]=>4 [-4,3,1,2,5]=>[4,3,1,2,5]=>5 [-4,3,1,2,-5]=>[4,3,1,2,-5]=>14 [-4,3,-1,2,5]=>[4,3,-1,2,5]=>6 [-4,-3,1,2,5]=>[1,3,4,2,5]=>2 [-4,-3,1,2,-5]=>[1,3,4,2,-5]=>11 [-4,-3,-1,2,5]=>[-1,3,4,2,5]=>3 [-4,-3,1,-5,-2]=>[5,3,1,4,-2]=>10 [-4,-3,-2,1,5]=>[2,3,4,1,5]=>3 [-4,-3,-2,1,-5]=>[2,3,4,1,-5]=>12 [-4,-3,-2,-1,5]=>[2,3,4,-1,5]=>4 [-4,-3,2,-5,1]=>[5,3,4,2,1]=>9 [-4,-3,2,-5,-1]=>[5,3,4,2,-1]=>10 [4,3,-5,1,2]=>[5,1,4,3,2]=>7 [4,3,-5,-1,2]=>[5,-1,4,3,2]=>8 [-4,3,5,1,2]=>[4,3,5,1,2]=>7 [-4,3,5,-1,2]=>[4,3,5,-1,2]=>8 [-4,3,-5,1,2]=>[1,5,4,3,2]=>6 [-4,3,-5,-1,2]=>[-1,5,4,3,2]=>7 [-4,-3,-5,1,2]=>[5,3,1,4,2]=>7 [-4,-3,-5,-1,2]=>[5,3,-1,4,2]=>8 [-4,3,-5,-2,1]=>[2,5,4,3,1]=>7 [-4,3,-5,-2,-1]=>[2,5,4,3,-1]=>8 [4,5,1,2,3]=>[1,4,5,2,3]=>4 [4,5,-1,2,3]=>[-1,4,5,2,3]=>5 [4,-5,1,2,3]=>[1,2,5,4,3]=>3 [4,-5,1,2,-3]=>[5,4,1,2,-3]=>12 [4,-5,-1,2,3]=>[-1,2,5,4,3]=>4 [-4,5,1,2,3]=>[4,1,5,2,3]=>5 [-4,5,-1,2,3]=>[4,-1,5,2,3]=>6 [-4,-5,1,2,3]=>[1,5,2,4,3]=>4 [-4,-5,-1,2,3]=>[-1,5,2,4,3]=>5 [4,-5,1,3,-2]=>[5,4,3,1,-2]=>12 [4,-5,-2,1,3]=>[2,1,5,4,3]=>4 [4,-5,-2,1,-3]=>[5,4,2,1,-3]=>13 [4,-5,-2,-1,3]=>[2,-1,5,4,3]=>5 [4,5,-3,1,2]=>[3,4,1,5,2]=>5 [4,5,-3,-1,2]=>[3,4,-1,5,2]=>6 [4,-5,3,1,2]=>[5,4,3,1,2]=>9 [4,-5,3,-1,2]=>[5,4,3,-1,2]=>10 [4,-5,-3,1,2]=>[1,3,5,4,2]=>4 [4,-5,-3,-1,2]=>[-1,3,5,4,2]=>5 [-4,-5,-3,1,2]=>[3,1,5,4,2]=>5 [-4,-5,-3,-1,2]=>[3,-1,5,4,2]=>6 [4,-5,-3,-2,1]=>[2,3,5,4,1]=>5 [4,-5,-3,-2,-1]=>[2,3,5,4,-1]=>6 [5,1,2,3,4]=>[1,2,5,3,4]=>2 [5,1,2,3,-4]=>[5,1,2,3,-4]=>11 [5,-1,2,3,4]=>[-1,2,5,3,4]=>3 [-5,1,2,3,4]=>[1,2,3,5,4]=>1 [-5,1,2,3,-4]=>[1,5,2,3,-4]=>10 [-5,-1,2,3,4]=>[-1,2,3,5,4]=>2 [5,1,2,4,-3]=>[5,1,4,2,-3]=>11 [-5,1,2,4,-3]=>[1,5,4,2,-3]=>10 [-5,1,2,-4,-3]=>[4,1,2,5,-3]=>9 [5,1,3,4,-2]=>[5,3,4,1,-2]=>11 [-5,1,3,4,-2]=>[3,5,4,1,-2]=>10 [-5,1,3,-4,-2]=>[4,1,5,3,-2]=>9 [-5,1,-4,2,3]=>[4,5,1,2,3]=>6 [-5,-1,-4,2,3]=>[4,5,-1,2,3]=>7 [-5,1,4,-3,-2]=>[3,5,1,4,-2]=>9 [-5,2,1,3,4]=>[5,2,1,3,4]=>5 [-5,2,-1,3,4]=>[5,2,-1,3,4]=>6 [-5,-2,1,3,4]=>[2,1,3,5,4]=>2 [-5,-2,1,3,-4]=>[2,5,1,3,-4]=>11 [-5,-2,-1,3,4]=>[2,-1,3,5,4]=>3 [-5,-2,1,4,-3]=>[2,5,4,1,-3]=>11 [-5,-2,1,-4,-3]=>[4,2,1,5,-3]=>10 [-5,2,3,-4,1]=>[4,5,2,3,1]=>8 [-5,2,3,-4,-1]=>[4,5,2,3,-1]=>9 [5,2,-4,1,3]=>[4,5,2,1,3]=>7 [5,2,-4,-1,3]=>[4,5,2,-1,3]=>8 [-5,2,-4,1,3]=>[4,2,5,1,3]=>6 [-5,2,-4,-1,3]=>[4,2,5,-1,3]=>7 [-5,2,4,-3,1]=>[3,5,4,2,1]=>8 [-5,2,4,-3,-1]=>[3,5,4,2,-1]=>9 [5,3,1,2,4]=>[5,3,1,2,4]=>6 [5,3,-1,2,4]=>[5,3,-1,2,4]=>7 [5,-3,1,2,4]=>[3,1,2,5,4]=>3 [5,-3,1,2,-4]=>[3,5,1,2,-4]=>12 [5,-3,-1,2,4]=>[3,-1,2,5,4]=>4 [-5,3,1,2,4]=>[3,5,1,2,4]=>5 [-5,3,-1,2,4]=>[3,5,-1,2,4]=>6 [-5,-3,1,2,4]=>[1,3,2,5,4]=>2 [-5,-3,1,2,-4]=>[1,5,3,2,-4]=>11 [-5,-3,-1,2,4]=>[-1,3,2,5,4]=>3 [-5,-3,1,-4,-2]=>[4,5,1,3,-2]=>10 [-5,-3,-2,1,4]=>[2,3,1,5,4]=>3 [-5,-3,-2,1,-4]=>[2,5,3,1,-4]=>12 [-5,-3,-2,-1,4]=>[2,3,-1,5,4]=>4 [-5,-3,2,-4,1]=>[4,5,3,2,1]=>9 [-5,-3,2,-4,-1]=>[4,5,3,2,-1]=>10 [5,3,4,1,2]=>[5,3,4,1,2]=>8 [5,3,4,-1,2]=>[5,3,4,-1,2]=>9 [5,3,-4,1,2]=>[4,5,1,3,2]=>7 [5,3,-4,-1,2]=>[4,5,-1,3,2]=>8 [-5,3,4,1,2]=>[3,5,4,1,2]=>7 [-5,3,4,-1,2]=>[3,5,4,-1,2]=>8 [-5,3,-4,1,2]=>[4,1,5,3,2]=>6 [-5,3,-4,-1,2]=>[4,-1,5,3,2]=>7 [5,4,1,2,3]=>[5,1,4,2,3]=>6 [5,4,-1,2,3]=>[5,-1,4,2,3]=>7 [5,-4,1,2,3]=>[1,4,2,5,3]=>3 [5,-4,-1,2,3]=>[-1,4,2,5,3]=>4 [-5,4,1,2,3]=>[1,5,4,2,3]=>5 [-5,4,-1,2,3]=>[-1,5,4,2,3]=>6 [-5,-4,1,2,3]=>[1,2,4,5,3]=>2 [-5,-4,1,2,-3]=>[4,5,1,2,-3]=>11 [-5,-4,-1,2,3]=>[-1,2,4,5,3]=>3 [-5,-4,1,3,-2]=>[4,5,3,1,-2]=>11 [-5,-4,-2,1,3]=>[2,1,4,5,3]=>3 [-5,-4,-2,1,-3]=>[4,5,2,1,-3]=>12 [-5,-4,-2,-1,3]=>[2,-1,4,5,3]=>4 [5,-4,-3,1,2]=>[3,1,4,5,2]=>4 [5,-4,-3,-1,2]=>[3,-1,4,5,2]=>5 [-5,4,-3,1,2]=>[3,5,1,4,2]=>6 [-5,4,-3,-1,2]=>[3,5,-1,4,2]=>7 [-5,-4,3,1,2]=>[4,5,3,1,2]=>8 [-5,-4,3,-1,2]=>[4,5,3,-1,2]=>9 [-5,-4,-3,1,2]=>[1,3,4,5,2]=>3 [-5,-4,-3,-1,2]=>[-1,3,4,5,2]=>4 [-5,-4,-3,-2,1]=>[2,3,4,5,1]=>4 [-5,-4,-3,-2,-1]=>[2,3,4,5,-1]=>5 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>0 [1,5,2,3,4,6]=>[5,1,2,3,4,6]=>4 [1,5,6,2,3,4]=>[5,1,2,6,3,4]=>6 [1,6,2,3,4,5]=>[1,6,2,3,4,5]=>4 [3,1,2,4,5,6]=>[3,1,2,4,5,6]=>2 [3,4,1,2,5,6]=>[3,4,1,2,5,6]=>4 [3,4,5,1,2,6]=>[3,4,5,1,2,6]=>6 [3,4,5,6,1,2]=>[3,4,5,6,1,2]=>8 [3,4,6,1,2,5]=>[3,4,1,6,2,5]=>6 [3,5,1,2,4,6]=>[3,1,5,2,4,6]=>4 [3,5,6,1,2,4]=>[3,1,5,6,2,4]=>6 [3,6,1,2,4,5]=>[3,1,2,6,4,5]=>4 [4,1,2,3,5,6]=>[1,4,2,3,5,6]=>2 [4,5,1,2,3,6]=>[1,4,5,2,3,6]=>4 [4,5,6,1,2,3]=>[1,4,5,6,2,3]=>6 [4,6,1,2,3,5]=>[1,4,2,6,3,5]=>4 [5,1,2,3,4,6]=>[1,2,5,3,4,6]=>2 [5,1,6,2,3,4]=>[5,6,1,2,3,4]=>8 [5,3,1,2,4,6]=>[5,3,1,2,4,6]=>6 [5,3,4,1,2,6]=>[5,3,4,1,2,6]=>8 [5,3,4,6,1,2]=>[5,3,4,6,1,2]=>10 [5,6,1,2,3,4]=>[1,2,5,6,3,4]=>4 [5,6,3,1,2,4]=>[5,6,3,1,2,4]=>10 [5,6,3,4,1,2]=>[5,6,3,4,1,2]=>12 [6,1,2,3,4,5]=>[1,2,3,6,4,5]=>2 [6,2,4,1,3,5]=>[6,2,4,1,3,5]=>8 [6,3,1,2,4,5]=>[3,6,1,2,4,5]=>6 [7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>24 [-6,-4,-2,1,3,5]=>[2,1,4,3,6,5]=>3 [4,5,2,3,-6,1]=>[6,4,5,2,3,1]=>13 [3,4,7,8,1,2,5,6]=>[3,4,1,2,7,8,5,6]=>8 [-4,-2,1,3,5,6]=>[2,1,4,3,5,6]=>2 [-2,-5,1,3,4,6]=>[2,5,1,3,4,6]=>4 [-6,-2,1,3,4,5]=>[2,1,3,4,6,5]=>2 [-2,1,3,4,5,6]=>[2,1,3,4,5,6]=>1 [5,-4,1,2,3,6]=>[1,4,2,5,3,6]=>3 [5,6,-4,1,2,3]=>[1,4,5,2,6,3]=>5 [-4,6,1,2,3,5]=>[4,1,2,6,3,5]=>5 [-4,1,2,3,5,6]=>[1,2,4,3,5,6]=>1 [-6,1,-5,2,3,4]=>[1,5,6,2,3,4]=>6 [1,6,-5,2,3,4]=>[5,1,2,3,6,4]=>5 [1,-5,2,3,4,6]=>[1,5,2,3,4,6]=>3 [1,2,-6,3,4,5]=>[6,1,2,3,4,5]=>5 [-6,1,2,3,4,5]=>[1,2,3,4,6,5]=>1 [-4,3,1,2,5,6]=>[4,3,1,2,5,6]=>5 [-2,1,-6,3,4,5]=>[6,2,1,3,4,5]=>6 [3,1,-6,2,4,5]=>[6,3,1,2,4,5]=>7 [-4,3,5,1,2,6]=>[4,3,5,1,2,6]=>7 [-6,-4,3,1,2,5]=>[4,3,6,1,2,5]=>8 [-6,5,3,1,2,4]=>[6,5,3,1,2,4]=>11 [-6,5,3,4,1,2]=>[6,5,3,4,1,2]=>13 [4,2,3,5,-6,1]=>[6,4,2,3,5,1]=>11 [4,-6,-5,3,1,2]=>[5,4,6,3,1,2]=>12 [4,5,-6,3,1,2]=>[6,4,5,3,1,2]=>13 [-4,3,5,6,1,2]=>[4,3,5,6,1,2]=>9 [2,-6,-5,-3,1,4]=>[3,2,1,5,6,4]=>5 [-4,2,3,-5,1,6]=>[5,2,4,3,1,6]=>8 [2,-4,-3,1,5,6]=>[3,2,4,1,5,6]=>4 [2,3,-4,1,5,6]=>[4,2,3,1,5,6]=>5 [2,3,4,5,-6,1]=>[6,2,3,4,5,1]=>9
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Description
The number of B-inversions of a signed permutation.
The number of B-inversions of a signed permutation $\sigma$ of length $n$ is
$$ \operatorname{inv}_B(\sigma) = \big|\{ 1 \leq i < j \leq n \mid \sigma(i) > \sigma(j) \}\big| + \big|\{ 1 \leq i \leq j \leq n \mid \sigma(-i) > \sigma(j) \}\big|, $$
see [1, Eq. (8.2)]. According to [1, Eq. (8.4)], this is the Coxeter length of $\sigma$.
Map
Foata-Han
Description
The Foata-Han bijection for signed permutations.
This map sends the flag major index St001433The flag major index of a signed permutation. to the flag inversion number St001428The number of B-inversions of a signed permutation..