edit this statistic or download as text // json
Identifier
Values
=>
[1,2]=>0 [2,1]=>0 [1,2,3]=>0 [1,3,2]=>0 [2,1,3]=>0 [2,3,1]=>0 [3,1,2]=>0 [3,2,1]=>0 [1,2,3,4]=>0 [1,2,4,3]=>0 [1,3,2,4]=>0 [1,3,4,2]=>0 [1,4,2,3]=>0 [1,4,3,2]=>0 [2,1,3,4]=>0 [2,1,4,3]=>0 [2,3,1,4]=>0 [2,3,4,1]=>3 [2,4,1,3]=>2 [2,4,3,1]=>0 [3,1,2,4]=>0 [3,1,4,2]=>0 [3,2,1,4]=>0 [3,2,4,1]=>3 [3,4,1,2]=>2 [3,4,2,1]=>0 [4,1,2,3]=>1 [4,1,3,2]=>1 [4,2,1,3]=>0 [4,2,3,1]=>0 [4,3,1,2]=>0 [4,3,2,1]=>0 [1,2,3,4,5]=>0 [1,2,3,5,4]=>0 [1,2,4,3,5]=>0 [1,2,4,5,3]=>0 [1,2,5,3,4]=>0 [1,2,5,4,3]=>0 [1,3,2,4,5]=>0 [1,3,2,5,4]=>0 [1,3,4,2,5]=>0 [1,3,4,5,2]=>4 [1,3,5,2,4]=>3 [1,3,5,4,2]=>0 [1,4,2,3,5]=>0 [1,4,2,5,3]=>0 [1,4,3,2,5]=>0 [1,4,3,5,2]=>4 [1,4,5,2,3]=>3 [1,4,5,3,2]=>0 [1,5,2,3,4]=>2 [1,5,2,4,3]=>2 [1,5,3,2,4]=>0 [1,5,3,4,2]=>0 [1,5,4,2,3]=>0 [1,5,4,3,2]=>0 [2,1,3,4,5]=>0 [2,1,3,5,4]=>0 [2,1,4,3,5]=>0 [2,1,4,5,3]=>0 [2,1,5,3,4]=>0 [2,1,5,4,3]=>0 [2,3,1,4,5]=>0 [2,3,1,5,4]=>0 [2,3,4,1,5]=>3 [2,3,4,5,1]=>4 [2,3,5,1,4]=>3 [2,3,5,4,1]=>4 [2,4,1,3,5]=>2 [2,4,1,5,3]=>2 [2,4,3,1,5]=>0 [2,4,3,5,1]=>4 [2,4,5,1,3]=>3 [2,4,5,3,1]=>0 [2,5,1,3,4]=>2 [2,5,1,4,3]=>2 [2,5,3,1,4]=>0 [2,5,3,4,1]=>4 [2,5,4,1,3]=>3 [2,5,4,3,1]=>0 [3,1,2,4,5]=>0 [3,1,2,5,4]=>0 [3,1,4,2,5]=>0 [3,1,4,5,2]=>4 [3,1,5,2,4]=>3 [3,1,5,4,2]=>0 [3,2,1,4,5]=>0 [3,2,1,5,4]=>0 [3,2,4,1,5]=>3 [3,2,4,5,1]=>4 [3,2,5,1,4]=>3 [3,2,5,4,1]=>4 [3,4,1,2,5]=>2 [3,4,1,5,2]=>6 [3,4,2,1,5]=>0 [3,4,2,5,1]=>4 [3,4,5,1,2]=>3 [3,4,5,2,1]=>3 [3,5,1,2,4]=>2 [3,5,1,4,2]=>2 [3,5,2,1,4]=>2 [3,5,2,4,1]=>6 [3,5,4,1,2]=>3 [3,5,4,2,1]=>0 [4,1,2,3,5]=>1 [4,1,2,5,3]=>1 [4,1,3,2,5]=>1 [4,1,3,5,2]=>5 [4,1,5,2,3]=>4 [4,1,5,3,2]=>1 [4,2,1,3,5]=>0 [4,2,1,5,3]=>0 [4,2,3,1,5]=>0 [4,2,3,5,1]=>4 [4,2,5,1,3]=>3 [4,2,5,3,1]=>0 [4,3,1,2,5]=>0 [4,3,1,5,2]=>4 [4,3,2,1,5]=>0 [4,3,2,5,1]=>4 [4,3,5,1,2]=>3 [4,3,5,2,1]=>3 [4,5,1,2,3]=>2 [4,5,1,3,2]=>2 [4,5,2,1,3]=>2 [4,5,2,3,1]=>2 [4,5,3,1,2]=>0 [4,5,3,2,1]=>0 [5,1,2,3,4]=>1 [5,1,2,4,3]=>1 [5,1,3,2,4]=>1 [5,1,3,4,2]=>1 [5,1,4,2,3]=>1 [5,1,4,3,2]=>1 [5,2,1,3,4]=>1 [5,2,1,4,3]=>1 [5,2,3,1,4]=>1 [5,2,3,4,1]=>5 [5,2,4,1,3]=>4 [5,2,4,3,1]=>1 [5,3,1,2,4]=>0 [5,3,1,4,2]=>0 [5,3,2,1,4]=>0 [5,3,2,4,1]=>4 [5,3,4,1,2]=>3 [5,3,4,2,1]=>0 [5,4,1,2,3]=>2 [5,4,1,3,2]=>2 [5,4,2,1,3]=>0 [5,4,2,3,1]=>0 [5,4,3,1,2]=>0 [5,4,3,2,1]=>0 [1,2,3,4,5,6]=>0 [1,2,3,4,6,5]=>0 [1,2,3,5,4,6]=>0 [1,2,3,5,6,4]=>0 [1,2,3,6,4,5]=>0 [1,2,3,6,5,4]=>0 [1,2,4,3,5,6]=>0 [1,2,4,3,6,5]=>0 [1,2,4,5,3,6]=>0 [1,2,4,5,6,3]=>5 [1,2,4,6,3,5]=>4 [1,2,4,6,5,3]=>0 [1,2,5,3,4,6]=>0 [1,2,5,3,6,4]=>0 [1,2,5,4,3,6]=>0 [1,2,5,4,6,3]=>5 [1,2,5,6,3,4]=>4 [1,2,5,6,4,3]=>0 [1,2,6,3,4,5]=>3 [1,2,6,3,5,4]=>3 [1,2,6,4,3,5]=>0 [1,2,6,4,5,3]=>0 [1,2,6,5,3,4]=>0 [1,2,6,5,4,3]=>0 [1,3,2,4,5,6]=>0 [1,3,2,4,6,5]=>0 [1,3,2,5,4,6]=>0 [1,3,2,5,6,4]=>0 [1,3,2,6,4,5]=>0 [1,3,2,6,5,4]=>0 [1,3,4,2,5,6]=>0 [1,3,4,2,6,5]=>0 [1,3,4,5,2,6]=>4 [1,3,4,5,6,2]=>5 [1,3,4,6,2,5]=>4 [1,3,4,6,5,2]=>5 [1,3,5,2,4,6]=>3 [1,3,5,2,6,4]=>3 [1,3,5,4,2,6]=>0 [1,3,5,4,6,2]=>5 [1,3,5,6,2,4]=>4 [1,3,5,6,4,2]=>0 [1,3,6,2,4,5]=>3 [1,3,6,2,5,4]=>3 [1,3,6,4,2,5]=>0 [1,3,6,4,5,2]=>5 [1,3,6,5,2,4]=>4 [1,3,6,5,4,2]=>0 [1,4,2,3,5,6]=>0 [1,4,2,3,6,5]=>0 [1,4,2,5,3,6]=>0 [1,4,2,5,6,3]=>5 [1,4,2,6,3,5]=>4 [1,4,2,6,5,3]=>0 [1,4,3,2,5,6]=>0 [1,4,3,2,6,5]=>0 [1,4,3,5,2,6]=>4 [1,4,3,5,6,2]=>5 [1,4,3,6,2,5]=>4 [1,4,3,6,5,2]=>5 [1,4,5,2,3,6]=>3 [1,4,5,2,6,3]=>8 [1,4,5,3,2,6]=>0 [1,4,5,3,6,2]=>5 [1,4,5,6,2,3]=>4 [1,4,5,6,3,2]=>4 [1,4,6,2,3,5]=>3 [1,4,6,2,5,3]=>3 [1,4,6,3,2,5]=>3 [1,4,6,3,5,2]=>8 [1,4,6,5,2,3]=>4 [1,4,6,5,3,2]=>0 [1,5,2,3,4,6]=>2 [1,5,2,3,6,4]=>2 [1,5,2,4,3,6]=>2 [1,5,2,4,6,3]=>7 [1,5,2,6,3,4]=>6 [1,5,2,6,4,3]=>2 [1,5,3,2,4,6]=>0 [1,5,3,2,6,4]=>0 [1,5,3,4,2,6]=>0 [1,5,3,4,6,2]=>5 [1,5,3,6,2,4]=>4 [1,5,3,6,4,2]=>0 [1,5,4,2,3,6]=>0 [1,5,4,2,6,3]=>5 [1,5,4,3,2,6]=>0 [1,5,4,3,6,2]=>5 [1,5,4,6,2,3]=>4 [1,5,4,6,3,2]=>4 [1,5,6,2,3,4]=>3 [1,5,6,2,4,3]=>3 [1,5,6,3,2,4]=>3 [1,5,6,3,4,2]=>3 [1,5,6,4,2,3]=>0 [1,5,6,4,3,2]=>0 [1,6,2,3,4,5]=>2 [1,6,2,3,5,4]=>2 [1,6,2,4,3,5]=>2 [1,6,2,4,5,3]=>2 [1,6,2,5,3,4]=>2 [1,6,2,5,4,3]=>2 [1,6,3,2,4,5]=>2 [1,6,3,2,5,4]=>2 [1,6,3,4,2,5]=>2 [1,6,3,4,5,2]=>7 [1,6,3,5,2,4]=>6 [1,6,3,5,4,2]=>2 [1,6,4,2,3,5]=>0 [1,6,4,2,5,3]=>0 [1,6,4,3,2,5]=>0 [1,6,4,3,5,2]=>5 [1,6,4,5,2,3]=>4 [1,6,4,5,3,2]=>0 [1,6,5,2,3,4]=>3 [1,6,5,2,4,3]=>3 [1,6,5,3,2,4]=>0 [1,6,5,3,4,2]=>0 [1,6,5,4,2,3]=>0 [1,6,5,4,3,2]=>0 [2,1,3,4,5,6]=>0 [2,1,3,4,6,5]=>0 [2,1,3,5,4,6]=>0 [2,1,3,5,6,4]=>0 [2,1,3,6,4,5]=>0 [2,1,3,6,5,4]=>0 [2,1,4,3,5,6]=>0 [2,1,4,3,6,5]=>0 [2,1,4,5,3,6]=>0 [2,1,4,5,6,3]=>5 [2,1,4,6,3,5]=>4 [2,1,4,6,5,3]=>0 [2,1,5,3,4,6]=>0 [2,1,5,3,6,4]=>0 [2,1,5,4,3,6]=>0 [2,1,5,4,6,3]=>5 [2,1,5,6,3,4]=>4 [2,1,5,6,4,3]=>0 [2,1,6,3,4,5]=>3 [2,1,6,3,5,4]=>3 [2,1,6,4,3,5]=>0 [2,1,6,4,5,3]=>0 [2,1,6,5,3,4]=>0 [2,1,6,5,4,3]=>0 [2,3,1,4,5,6]=>0 [2,3,1,4,6,5]=>0 [2,3,1,5,4,6]=>0 [2,3,1,5,6,4]=>0 [2,3,1,6,4,5]=>0 [2,3,1,6,5,4]=>0 [2,3,4,1,5,6]=>3 [2,3,4,1,6,5]=>3 [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]=>5 [2,3,5,1,4,6]=>3 [2,3,5,1,6,4]=>3 [2,3,5,4,1,6]=>4 [2,3,5,4,6,1]=>5 [2,3,5,6,1,4]=>4 [2,3,5,6,4,1]=>5 [2,3,6,1,4,5]=>3 [2,3,6,1,5,4]=>3 [2,3,6,4,1,5]=>4 [2,3,6,4,5,1]=>5 [2,3,6,5,1,4]=>4 [2,3,6,5,4,1]=>5 [2,4,1,3,5,6]=>2 [2,4,1,3,6,5]=>2 [2,4,1,5,3,6]=>2 [2,4,1,5,6,3]=>7 [2,4,1,6,3,5]=>6 [2,4,1,6,5,3]=>2 [2,4,3,1,5,6]=>0 [2,4,3,1,6,5]=>0 [2,4,3,5,1,6]=>4 [2,4,3,5,6,1]=>5 [2,4,3,6,1,5]=>4 [2,4,3,6,5,1]=>5 [2,4,5,1,3,6]=>3 [2,4,5,1,6,3]=>8 [2,4,5,3,1,6]=>0 [2,4,5,3,6,1]=>5 [2,4,5,6,1,3]=>4 [2,4,5,6,3,1]=>4 [2,4,6,1,3,5]=>3 [2,4,6,1,5,3]=>3 [2,4,6,3,1,5]=>3 [2,4,6,3,5,1]=>8 [2,4,6,5,1,3]=>4 [2,4,6,5,3,1]=>0 [2,5,1,3,4,6]=>2 [2,5,1,3,6,4]=>2 [2,5,1,4,3,6]=>2 [2,5,1,4,6,3]=>7 [2,5,1,6,3,4]=>6 [2,5,1,6,4,3]=>2 [2,5,3,1,4,6]=>0 [2,5,3,1,6,4]=>0 [2,5,3,4,1,6]=>4 [2,5,3,4,6,1]=>5 [2,5,3,6,1,4]=>4 [2,5,3,6,4,1]=>5 [2,5,4,1,3,6]=>3 [2,5,4,1,6,3]=>8 [2,5,4,3,1,6]=>0 [2,5,4,3,6,1]=>5 [2,5,4,6,1,3]=>4 [2,5,4,6,3,1]=>4 [2,5,6,1,3,4]=>3 [2,5,6,1,4,3]=>3 [2,5,6,3,1,4]=>3 [2,5,6,3,4,1]=>8 [2,5,6,4,1,3]=>4 [2,5,6,4,3,1]=>0 [2,6,1,3,4,5]=>2 [2,6,1,3,5,4]=>2 [2,6,1,4,3,5]=>2 [2,6,1,4,5,3]=>2 [2,6,1,5,3,4]=>2 [2,6,1,5,4,3]=>2 [2,6,3,1,4,5]=>2 [2,6,3,1,5,4]=>2 [2,6,3,4,1,5]=>6 [2,6,3,4,5,1]=>7 [2,6,3,5,1,4]=>6 [2,6,3,5,4,1]=>7 [2,6,4,1,3,5]=>3 [2,6,4,1,5,3]=>3 [2,6,4,3,1,5]=>0 [2,6,4,3,5,1]=>5 [2,6,4,5,1,3]=>4 [2,6,4,5,3,1]=>0 [2,6,5,1,3,4]=>3 [2,6,5,1,4,3]=>3 [2,6,5,3,1,4]=>0 [2,6,5,3,4,1]=>5 [2,6,5,4,1,3]=>4 [2,6,5,4,3,1]=>0 [3,1,2,4,5,6]=>0 [3,1,2,4,6,5]=>0 [3,1,2,5,4,6]=>0 [3,1,2,5,6,4]=>0 [3,1,2,6,4,5]=>0 [3,1,2,6,5,4]=>0 [3,1,4,2,5,6]=>0 [3,1,4,2,6,5]=>0 [3,1,4,5,2,6]=>4 [3,1,4,5,6,2]=>5 [3,1,4,6,2,5]=>4 [3,1,4,6,5,2]=>5 [3,1,5,2,4,6]=>3 [3,1,5,2,6,4]=>3 [3,1,5,4,2,6]=>0 [3,1,5,4,6,2]=>5 [3,1,5,6,2,4]=>4 [3,1,5,6,4,2]=>0 [3,1,6,2,4,5]=>3 [3,1,6,2,5,4]=>3 [3,1,6,4,2,5]=>0 [3,1,6,4,5,2]=>5 [3,1,6,5,2,4]=>4 [3,1,6,5,4,2]=>0 [3,2,1,4,5,6]=>0 [3,2,1,4,6,5]=>0 [3,2,1,5,4,6]=>0 [3,2,1,5,6,4]=>0 [3,2,1,6,4,5]=>0 [3,2,1,6,5,4]=>0 [3,2,4,1,5,6]=>3 [3,2,4,1,6,5]=>3 [3,2,4,5,1,6]=>4 [3,2,4,5,6,1]=>5 [3,2,4,6,1,5]=>4 [3,2,4,6,5,1]=>5 [3,2,5,1,4,6]=>3 [3,2,5,1,6,4]=>3 [3,2,5,4,1,6]=>4 [3,2,5,4,6,1]=>5 [3,2,5,6,1,4]=>4 [3,2,5,6,4,1]=>5 [3,2,6,1,4,5]=>3 [3,2,6,1,5,4]=>3 [3,2,6,4,1,5]=>4 [3,2,6,4,5,1]=>5 [3,2,6,5,1,4]=>4 [3,2,6,5,4,1]=>5 [3,4,1,2,5,6]=>2 [3,4,1,2,6,5]=>2 [3,4,1,5,2,6]=>6 [3,4,1,5,6,2]=>7 [3,4,1,6,2,5]=>6 [3,4,1,6,5,2]=>7 [3,4,2,1,5,6]=>0 [3,4,2,1,6,5]=>0 [3,4,2,5,1,6]=>4 [3,4,2,5,6,1]=>5 [3,4,2,6,1,5]=>4 [3,4,2,6,5,1]=>5 [3,4,5,1,2,6]=>3 [3,4,5,1,6,2]=>8 [3,4,5,2,1,6]=>3 [3,4,5,2,6,1]=>8 [3,4,5,6,1,2]=>4 [3,4,5,6,2,1]=>4 [3,4,6,1,2,5]=>3 [3,4,6,1,5,2]=>8 [3,4,6,2,1,5]=>3 [3,4,6,2,5,1]=>8 [3,4,6,5,1,2]=>4 [3,4,6,5,2,1]=>4 [3,5,1,2,4,6]=>2 [3,5,1,2,6,4]=>2 [3,5,1,4,2,6]=>2 [3,5,1,4,6,2]=>7 [3,5,1,6,2,4]=>6 [3,5,1,6,4,2]=>2 [3,5,2,1,4,6]=>2 [3,5,2,1,6,4]=>2 [3,5,2,4,1,6]=>6 [3,5,2,4,6,1]=>7 [3,5,2,6,1,4]=>6 [3,5,2,6,4,1]=>7 [3,5,4,1,2,6]=>3 [3,5,4,1,6,2]=>8 [3,5,4,2,1,6]=>0 [3,5,4,2,6,1]=>5 [3,5,4,6,1,2]=>4 [3,5,4,6,2,1]=>4 [3,5,6,1,2,4]=>3 [3,5,6,1,4,2]=>3 [3,5,6,2,1,4]=>3 [3,5,6,2,4,1]=>8 [3,5,6,4,1,2]=>4 [3,5,6,4,2,1]=>0 [3,6,1,2,4,5]=>2 [3,6,1,2,5,4]=>2 [3,6,1,4,2,5]=>2 [3,6,1,4,5,2]=>7 [3,6,1,5,2,4]=>6 [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]=>6 [3,6,2,4,5,1]=>7 [3,6,2,5,1,4]=>6 [3,6,2,5,4,1]=>7 [3,6,4,1,2,5]=>3 [3,6,4,1,5,2]=>8 [3,6,4,2,1,5]=>0 [3,6,4,2,5,1]=>5 [3,6,4,5,1,2]=>4 [3,6,4,5,2,1]=>4 [3,6,5,1,2,4]=>3 [3,6,5,1,4,2]=>3 [3,6,5,2,1,4]=>3 [3,6,5,2,4,1]=>8 [3,6,5,4,1,2]=>4 [3,6,5,4,2,1]=>0 [4,1,2,3,5,6]=>1 [4,1,2,3,6,5]=>1 [4,1,2,5,3,6]=>1 [4,1,2,5,6,3]=>6 [4,1,2,6,3,5]=>5 [4,1,2,6,5,3]=>1 [4,1,3,2,5,6]=>1 [4,1,3,2,6,5]=>1 [4,1,3,5,2,6]=>5 [4,1,3,5,6,2]=>6 [4,1,3,6,2,5]=>5 [4,1,3,6,5,2]=>6 [4,1,5,2,3,6]=>4 [4,1,5,2,6,3]=>9 [4,1,5,3,2,6]=>1 [4,1,5,3,6,2]=>6 [4,1,5,6,2,3]=>5 [4,1,5,6,3,2]=>5 [4,1,6,2,3,5]=>4 [4,1,6,2,5,3]=>4 [4,1,6,3,2,5]=>4 [4,1,6,3,5,2]=>9 [4,1,6,5,2,3]=>5 [4,1,6,5,3,2]=>1 [4,2,1,3,5,6]=>0 [4,2,1,3,6,5]=>0 [4,2,1,5,3,6]=>0 [4,2,1,5,6,3]=>5 [4,2,1,6,3,5]=>4 [4,2,1,6,5,3]=>0 [4,2,3,1,5,6]=>0 [4,2,3,1,6,5]=>0 [4,2,3,5,1,6]=>4 [4,2,3,5,6,1]=>5 [4,2,3,6,1,5]=>4 [4,2,3,6,5,1]=>5 [4,2,5,1,3,6]=>3 [4,2,5,1,6,3]=>8 [4,2,5,3,1,6]=>0 [4,2,5,3,6,1]=>5 [4,2,5,6,1,3]=>4 [4,2,5,6,3,1]=>4 [4,2,6,1,3,5]=>3 [4,2,6,1,5,3]=>3 [4,2,6,3,1,5]=>3 [4,2,6,3,5,1]=>8 [4,2,6,5,1,3]=>4 [4,2,6,5,3,1]=>0 [4,3,1,2,5,6]=>0 [4,3,1,2,6,5]=>0 [4,3,1,5,2,6]=>4 [4,3,1,5,6,2]=>5 [4,3,1,6,2,5]=>4 [4,3,1,6,5,2]=>5 [4,3,2,1,5,6]=>0 [4,3,2,1,6,5]=>0 [4,3,2,5,1,6]=>4 [4,3,2,5,6,1]=>5 [4,3,2,6,1,5]=>4 [4,3,2,6,5,1]=>5 [4,3,5,1,2,6]=>3 [4,3,5,1,6,2]=>8 [4,3,5,2,1,6]=>3 [4,3,5,2,6,1]=>8 [4,3,5,6,1,2]=>4 [4,3,5,6,2,1]=>4 [4,3,6,1,2,5]=>3 [4,3,6,1,5,2]=>8 [4,3,6,2,1,5]=>3 [4,3,6,2,5,1]=>8 [4,3,6,5,1,2]=>4 [4,3,6,5,2,1]=>4 [4,5,1,2,3,6]=>2 [4,5,1,2,6,3]=>7 [4,5,1,3,2,6]=>2 [4,5,1,3,6,2]=>7 [4,5,1,6,2,3]=>6 [4,5,1,6,3,2]=>6 [4,5,2,1,3,6]=>2 [4,5,2,1,6,3]=>7 [4,5,2,3,1,6]=>2 [4,5,2,3,6,1]=>7 [4,5,2,6,1,3]=>6 [4,5,2,6,3,1]=>6 [4,5,3,1,2,6]=>0 [4,5,3,1,6,2]=>5 [4,5,3,2,1,6]=>0 [4,5,3,2,6,1]=>5 [4,5,3,6,1,2]=>4 [4,5,3,6,2,1]=>4 [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 [4,6,1,2,5,3]=>2 [4,6,1,3,2,5]=>2 [4,6,1,3,5,2]=>7 [4,6,1,5,2,3]=>6 [4,6,1,5,3,2]=>2 [4,6,2,1,3,5]=>2 [4,6,2,1,5,3]=>2 [4,6,2,3,1,5]=>2 [4,6,2,3,5,1]=>7 [4,6,2,5,1,3]=>6 [4,6,2,5,3,1]=>2 [4,6,3,1,2,5]=>2 [4,6,3,1,5,2]=>7 [4,6,3,2,1,5]=>2 [4,6,3,2,5,1]=>7 [4,6,3,5,1,2]=>6 [4,6,3,5,2,1]=>6 [4,6,5,1,2,3]=>3 [4,6,5,1,3,2]=>3 [4,6,5,2,1,3]=>3 [4,6,5,2,3,1]=>3 [4,6,5,3,1,2]=>0 [4,6,5,3,2,1]=>0 [5,1,2,3,4,6]=>1 [5,1,2,3,6,4]=>1 [5,1,2,4,3,6]=>1 [5,1,2,4,6,3]=>6 [5,1,2,6,3,4]=>5 [5,1,2,6,4,3]=>1 [5,1,3,2,4,6]=>1 [5,1,3,2,6,4]=>1 [5,1,3,4,2,6]=>1 [5,1,3,4,6,2]=>6 [5,1,3,6,2,4]=>5 [5,1,3,6,4,2]=>1 [5,1,4,2,3,6]=>1 [5,1,4,2,6,3]=>6 [5,1,4,3,2,6]=>1 [5,1,4,3,6,2]=>6 [5,1,4,6,2,3]=>5 [5,1,4,6,3,2]=>5 [5,1,6,2,3,4]=>4 [5,1,6,2,4,3]=>4 [5,1,6,3,2,4]=>4 [5,1,6,3,4,2]=>4 [5,1,6,4,2,3]=>1 [5,1,6,4,3,2]=>1 [5,2,1,3,4,6]=>1 [5,2,1,3,6,4]=>1 [5,2,1,4,3,6]=>1 [5,2,1,4,6,3]=>6 [5,2,1,6,3,4]=>5 [5,2,1,6,4,3]=>1 [5,2,3,1,4,6]=>1 [5,2,3,1,6,4]=>1 [5,2,3,4,1,6]=>5 [5,2,3,4,6,1]=>6 [5,2,3,6,1,4]=>5 [5,2,3,6,4,1]=>6 [5,2,4,1,3,6]=>4 [5,2,4,1,6,3]=>9 [5,2,4,3,1,6]=>1 [5,2,4,3,6,1]=>6 [5,2,4,6,1,3]=>5 [5,2,4,6,3,1]=>5 [5,2,6,1,3,4]=>4 [5,2,6,1,4,3]=>4 [5,2,6,3,1,4]=>4 [5,2,6,3,4,1]=>9 [5,2,6,4,1,3]=>5 [5,2,6,4,3,1]=>1 [5,3,1,2,4,6]=>0 [5,3,1,2,6,4]=>0 [5,3,1,4,2,6]=>0 [5,3,1,4,6,2]=>5 [5,3,1,6,2,4]=>4 [5,3,1,6,4,2]=>0 [5,3,2,1,4,6]=>0 [5,3,2,1,6,4]=>0 [5,3,2,4,1,6]=>4 [5,3,2,4,6,1]=>5 [5,3,2,6,1,4]=>4 [5,3,2,6,4,1]=>5 [5,3,4,1,2,6]=>3 [5,3,4,1,6,2]=>8 [5,3,4,2,1,6]=>0 [5,3,4,2,6,1]=>5 [5,3,4,6,1,2]=>4 [5,3,4,6,2,1]=>4 [5,3,6,1,2,4]=>3 [5,3,6,1,4,2]=>3 [5,3,6,2,1,4]=>3 [5,3,6,2,4,1]=>8 [5,3,6,4,1,2]=>4 [5,3,6,4,2,1]=>0 [5,4,1,2,3,6]=>2 [5,4,1,2,6,3]=>7 [5,4,1,3,2,6]=>2 [5,4,1,3,6,2]=>7 [5,4,1,6,2,3]=>6 [5,4,1,6,3,2]=>6 [5,4,2,1,3,6]=>0 [5,4,2,1,6,3]=>5 [5,4,2,3,1,6]=>0 [5,4,2,3,6,1]=>5 [5,4,2,6,1,3]=>4 [5,4,2,6,3,1]=>4 [5,4,3,1,2,6]=>0 [5,4,3,1,6,2]=>5 [5,4,3,2,1,6]=>0 [5,4,3,2,6,1]=>5 [5,4,3,6,1,2]=>4 [5,4,3,6,2,1]=>4 [5,4,6,1,2,3]=>3 [5,4,6,1,3,2]=>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 [5,6,1,2,4,3]=>2 [5,6,1,3,2,4]=>2 [5,6,1,3,4,2]=>2 [5,6,1,4,2,3]=>2 [5,6,1,4,3,2]=>2 [5,6,2,1,3,4]=>2 [5,6,2,1,4,3]=>2 [5,6,2,3,1,4]=>2 [5,6,2,3,4,1]=>7 [5,6,2,4,1,3]=>6 [5,6,2,4,3,1]=>2 [5,6,3,1,2,4]=>2 [5,6,3,1,4,2]=>2 [5,6,3,2,1,4]=>2 [5,6,3,2,4,1]=>7 [5,6,3,4,1,2]=>6 [5,6,3,4,2,1]=>2 [5,6,4,1,2,3]=>3 [5,6,4,1,3,2]=>3 [5,6,4,2,1,3]=>0 [5,6,4,2,3,1]=>0 [5,6,4,3,1,2]=>0 [5,6,4,3,2,1]=>0 [6,1,2,3,4,5]=>1 [6,1,2,3,5,4]=>1 [6,1,2,4,3,5]=>1 [6,1,2,4,5,3]=>1 [6,1,2,5,3,4]=>1 [6,1,2,5,4,3]=>1 [6,1,3,2,4,5]=>1 [6,1,3,2,5,4]=>1 [6,1,3,4,2,5]=>1 [6,1,3,4,5,2]=>6 [6,1,3,5,2,4]=>5 [6,1,3,5,4,2]=>1 [6,1,4,2,3,5]=>1 [6,1,4,2,5,3]=>1 [6,1,4,3,2,5]=>1 [6,1,4,3,5,2]=>6 [6,1,4,5,2,3]=>5 [6,1,4,5,3,2]=>1 [6,1,5,2,3,4]=>4 [6,1,5,2,4,3]=>4 [6,1,5,3,2,4]=>1 [6,1,5,3,4,2]=>1 [6,1,5,4,2,3]=>1 [6,1,5,4,3,2]=>1 [6,2,1,3,4,5]=>1 [6,2,1,3,5,4]=>1 [6,2,1,4,3,5]=>1 [6,2,1,4,5,3]=>1 [6,2,1,5,3,4]=>1 [6,2,1,5,4,3]=>1 [6,2,3,1,4,5]=>1 [6,2,3,1,5,4]=>1 [6,2,3,4,1,5]=>5 [6,2,3,4,5,1]=>6 [6,2,3,5,1,4]=>5 [6,2,3,5,4,1]=>6 [6,2,4,1,3,5]=>4 [6,2,4,1,5,3]=>4 [6,2,4,3,1,5]=>1 [6,2,4,3,5,1]=>6 [6,2,4,5,1,3]=>5 [6,2,4,5,3,1]=>1 [6,2,5,1,3,4]=>4 [6,2,5,1,4,3]=>4 [6,2,5,3,1,4]=>1 [6,2,5,3,4,1]=>6 [6,2,5,4,1,3]=>5 [6,2,5,4,3,1]=>1 [6,3,1,2,4,5]=>1 [6,3,1,2,5,4]=>1 [6,3,1,4,2,5]=>1 [6,3,1,4,5,2]=>6 [6,3,1,5,2,4]=>5 [6,3,1,5,4,2]=>1 [6,3,2,1,4,5]=>1 [6,3,2,1,5,4]=>1 [6,3,2,4,1,5]=>5 [6,3,2,4,5,1]=>6 [6,3,2,5,1,4]=>5 [6,3,2,5,4,1]=>6 [6,3,4,1,2,5]=>4 [6,3,4,1,5,2]=>9 [6,3,4,2,1,5]=>1 [6,3,4,2,5,1]=>6 [6,3,4,5,1,2]=>5 [6,3,4,5,2,1]=>5 [6,3,5,1,2,4]=>4 [6,3,5,1,4,2]=>4 [6,3,5,2,1,4]=>4 [6,3,5,2,4,1]=>9 [6,3,5,4,1,2]=>5 [6,3,5,4,2,1]=>1 [6,4,1,2,3,5]=>2 [6,4,1,2,5,3]=>2 [6,4,1,3,2,5]=>2 [6,4,1,3,5,2]=>7 [6,4,1,5,2,3]=>6 [6,4,1,5,3,2]=>2 [6,4,2,1,3,5]=>0 [6,4,2,1,5,3]=>0 [6,4,2,3,1,5]=>0 [6,4,2,3,5,1]=>5 [6,4,2,5,1,3]=>4 [6,4,2,5,3,1]=>0 [6,4,3,1,2,5]=>0 [6,4,3,1,5,2]=>5 [6,4,3,2,1,5]=>0 [6,4,3,2,5,1]=>5 [6,4,3,5,1,2]=>4 [6,4,3,5,2,1]=>4 [6,4,5,1,2,3]=>3 [6,4,5,1,3,2]=>3 [6,4,5,2,1,3]=>3 [6,4,5,2,3,1]=>3 [6,4,5,3,1,2]=>0 [6,4,5,3,2,1]=>0 [6,5,1,2,3,4]=>2 [6,5,1,2,4,3]=>2 [6,5,1,3,2,4]=>2 [6,5,1,3,4,2]=>2 [6,5,1,4,2,3]=>2 [6,5,1,4,3,2]=>2 [6,5,2,1,3,4]=>2 [6,5,2,1,4,3]=>2 [6,5,2,3,1,4]=>2 [6,5,2,3,4,1]=>7 [6,5,2,4,1,3]=>6 [6,5,2,4,3,1]=>2 [6,5,3,1,2,4]=>0 [6,5,3,1,4,2]=>0 [6,5,3,2,1,4]=>0 [6,5,3,2,4,1]=>5 [6,5,3,4,1,2]=>4 [6,5,3,4,2,1]=>0 [6,5,4,1,2,3]=>3 [6,5,4,1,3,2]=>3 [6,5,4,2,1,3]=>0 [6,5,4,2,3,1]=>0 [6,5,4,3,1,2]=>0 [6,5,4,3,2,1]=>0 [1,2,3,4,5,6,7]=>0 [1,2,3,4,5,7,6]=>0 [1,2,3,4,6,5,7]=>0 [1,2,3,4,6,7,5]=>0 [1,2,3,4,7,5,6]=>0 [1,2,3,4,7,6,5]=>0 [1,2,3,5,4,6,7]=>0 [1,2,3,5,4,7,6]=>0 [1,2,3,5,6,4,7]=>0 [1,2,3,5,6,7,4]=>6 [1,2,3,5,7,4,6]=>5 [1,2,3,5,7,6,4]=>0 [1,2,3,6,4,5,7]=>0 [1,2,3,6,4,7,5]=>0 [1,2,3,6,5,4,7]=>0 [1,2,3,6,5,7,4]=>6 [1,2,3,6,7,4,5]=>5 [1,2,3,6,7,5,4]=>0 [1,2,3,7,4,5,6]=>4 [1,2,3,7,4,6,5]=>4 [1,2,3,7,5,4,6]=>0 [1,2,3,7,5,6,4]=>0 [1,2,3,7,6,4,5]=>0 [1,2,3,7,6,5,4]=>0 [1,2,4,3,5,6,7]=>0 [1,2,4,3,5,7,6]=>0 [1,2,4,3,6,5,7]=>0 [1,2,4,3,6,7,5]=>0 [1,2,4,3,7,5,6]=>0 [1,2,4,3,7,6,5]=>0 [1,2,4,5,3,6,7]=>0 [1,2,4,5,3,7,6]=>0 [1,2,4,5,6,3,7]=>5 [1,2,4,5,6,7,3]=>6 [1,2,4,5,7,3,6]=>5 [1,2,4,5,7,6,3]=>6 [1,2,4,6,3,5,7]=>4 [1,2,4,6,3,7,5]=>4 [1,2,4,6,5,3,7]=>0 [1,2,4,6,5,7,3]=>6 [1,2,4,6,7,3,5]=>5 [1,2,4,6,7,5,3]=>0 [1,2,4,7,3,5,6]=>4 [1,2,4,7,3,6,5]=>4 [1,2,4,7,5,3,6]=>0 [1,2,4,7,5,6,3]=>6 [1,2,4,7,6,3,5]=>5 [1,2,4,7,6,5,3]=>0 [1,2,5,3,4,6,7]=>0 [1,2,5,3,4,7,6]=>0 [1,2,5,3,6,4,7]=>0 [1,2,5,3,6,7,4]=>6 [1,2,5,3,7,4,6]=>5 [1,2,5,3,7,6,4]=>0 [1,2,5,4,3,6,7]=>0 [1,2,5,4,3,7,6]=>0 [1,2,5,4,6,3,7]=>5 [1,2,5,4,6,7,3]=>6 [1,2,5,4,7,3,6]=>5 [1,2,5,4,7,6,3]=>6 [1,2,5,6,3,4,7]=>4 [1,2,5,6,3,7,4]=>10 [1,2,5,6,4,3,7]=>0 [1,2,5,6,4,7,3]=>6 [1,2,5,6,7,3,4]=>5 [1,2,5,6,7,4,3]=>5 [1,2,5,7,3,4,6]=>4 [1,2,5,7,3,6,4]=>4 [1,2,5,7,4,3,6]=>4 [1,2,5,7,4,6,3]=>10 [1,2,5,7,6,3,4]=>5 [1,2,5,7,6,4,3]=>0 [1,2,6,3,4,5,7]=>3 [1,2,6,3,4,7,5]=>3 [1,2,6,3,5,4,7]=>3 [1,2,6,3,5,7,4]=>9 [1,2,6,3,7,4,5]=>8 [1,2,6,3,7,5,4]=>3 [1,2,6,4,3,5,7]=>0 [1,2,6,4,3,7,5]=>0 [1,2,6,4,5,3,7]=>0 [1,2,6,4,5,7,3]=>6 [1,2,6,4,7,3,5]=>5 [1,2,6,4,7,5,3]=>0 [1,2,6,5,3,4,7]=>0 [1,2,6,5,3,7,4]=>6 [1,2,6,5,4,3,7]=>0 [1,2,6,5,4,7,3]=>6 [1,2,6,5,7,3,4]=>5 [1,2,6,5,7,4,3]=>5 [1,2,6,7,3,4,5]=>4 [1,2,6,7,3,5,4]=>4 [1,2,6,7,4,3,5]=>4 [1,2,6,7,4,5,3]=>4 [1,2,6,7,5,3,4]=>0 [1,2,6,7,5,4,3]=>0 [1,2,7,3,4,5,6]=>3 [1,2,7,3,4,6,5]=>3 [1,2,7,3,5,4,6]=>3 [1,2,7,3,5,6,4]=>3 [1,2,7,3,6,4,5]=>3 [1,2,7,3,6,5,4]=>3 [1,2,7,4,3,5,6]=>3 [1,2,7,4,3,6,5]=>3 [1,2,7,4,5,3,6]=>3 [1,2,7,4,5,6,3]=>9 [1,2,7,4,6,3,5]=>8 [1,2,7,4,6,5,3]=>3 [1,2,7,5,3,4,6]=>0 [1,2,7,5,3,6,4]=>0 [1,2,7,5,4,3,6]=>0 [1,2,7,5,4,6,3]=>6 [1,2,7,5,6,3,4]=>5 [1,2,7,5,6,4,3]=>0 [1,2,7,6,3,4,5]=>4 [1,2,7,6,3,5,4]=>4 [1,2,7,6,4,3,5]=>0 [1,2,7,6,4,5,3]=>0 [1,2,7,6,5,3,4]=>0 [1,2,7,6,5,4,3]=>0 [1,3,2,4,5,6,7]=>0 [1,3,2,4,5,7,6]=>0 [1,3,2,4,6,5,7]=>0 [1,3,2,4,6,7,5]=>0 [1,3,2,4,7,5,6]=>0 [1,3,2,4,7,6,5]=>0 [1,3,2,5,4,6,7]=>0 [1,3,2,5,4,7,6]=>0 [1,3,2,5,6,4,7]=>0 [1,3,2,5,6,7,4]=>6 [1,3,2,5,7,4,6]=>5 [1,3,2,5,7,6,4]=>0 [1,3,2,6,4,5,7]=>0 [1,3,2,6,4,7,5]=>0 [1,3,2,6,5,4,7]=>0 [1,3,2,6,5,7,4]=>6 [1,3,2,6,7,4,5]=>5 [1,3,2,6,7,5,4]=>0 [1,3,2,7,4,5,6]=>4 [1,3,2,7,4,6,5]=>4 [1,3,2,7,5,4,6]=>0 [1,3,2,7,5,6,4]=>0 [1,3,2,7,6,4,5]=>0 [1,3,2,7,6,5,4]=>0 [1,3,4,2,5,6,7]=>0 [1,3,4,2,5,7,6]=>0 [1,3,4,2,6,5,7]=>0 [1,3,4,2,6,7,5]=>0 [1,3,4,2,7,5,6]=>0 [1,3,4,2,7,6,5]=>0 [1,3,4,5,2,6,7]=>4 [1,3,4,5,2,7,6]=>4 [1,3,4,5,6,2,7]=>5 [1,3,4,5,6,7,2]=>6 [1,3,4,5,7,2,6]=>5 [1,3,4,5,7,6,2]=>6 [1,3,4,6,2,5,7]=>4 [1,3,4,6,2,7,5]=>4 [1,3,4,6,5,2,7]=>5 [1,3,4,6,5,7,2]=>6 [1,3,4,6,7,2,5]=>5 [1,3,4,6,7,5,2]=>6 [1,3,4,7,2,5,6]=>4 [1,3,4,7,2,6,5]=>4 [1,3,4,7,5,2,6]=>5 [1,3,4,7,5,6,2]=>6 [1,3,4,7,6,2,5]=>5 [1,3,4,7,6,5,2]=>6 [1,3,5,2,4,6,7]=>3 [1,3,5,2,4,7,6]=>3 [1,3,5,2,6,4,7]=>3 [1,3,5,2,6,7,4]=>9 [1,3,5,2,7,4,6]=>8 [1,3,5,2,7,6,4]=>3 [1,3,5,4,2,6,7]=>0 [1,3,5,4,2,7,6]=>0 [1,3,5,4,6,2,7]=>5 [1,3,5,4,6,7,2]=>6 [1,3,5,4,7,2,6]=>5 [1,3,5,4,7,6,2]=>6 [1,3,5,6,2,4,7]=>4 [1,3,5,6,2,7,4]=>10 [1,3,5,6,4,2,7]=>0 [1,3,5,6,4,7,2]=>6 [1,3,5,6,7,2,4]=>5 [1,3,5,6,7,4,2]=>5 [1,3,5,7,2,4,6]=>4 [1,3,5,7,2,6,4]=>4 [1,3,5,7,4,2,6]=>4 [1,3,5,7,4,6,2]=>10 [1,3,5,7,6,2,4]=>5 [1,3,5,7,6,4,2]=>0 [1,3,6,2,4,5,7]=>3 [1,3,6,2,4,7,5]=>3 [1,3,6,2,5,4,7]=>3 [1,3,6,2,5,7,4]=>9 [1,3,6,2,7,4,5]=>8 [1,3,6,2,7,5,4]=>3 [1,3,6,4,2,5,7]=>0 [1,3,6,4,2,7,5]=>0 [1,3,6,4,5,2,7]=>5 [1,3,6,4,5,7,2]=>6 [1,3,6,4,7,2,5]=>5 [1,3,6,4,7,5,2]=>6 [1,3,6,5,2,4,7]=>4 [1,3,6,5,2,7,4]=>10 [1,3,6,5,4,2,7]=>0 [1,3,6,5,4,7,2]=>6 [1,3,6,5,7,2,4]=>5 [1,3,6,5,7,4,2]=>5 [1,3,6,7,2,4,5]=>4 [1,3,6,7,2,5,4]=>4 [1,3,6,7,4,2,5]=>4 [1,3,6,7,4,5,2]=>10 [1,3,6,7,5,2,4]=>5 [1,3,6,7,5,4,2]=>0 [1,3,7,2,4,5,6]=>3 [1,3,7,2,4,6,5]=>3 [1,3,7,2,5,4,6]=>3 [1,3,7,2,5,6,4]=>3 [1,3,7,2,6,4,5]=>3 [1,3,7,2,6,5,4]=>3 [1,3,7,4,2,5,6]=>3 [1,3,7,4,2,6,5]=>3 [1,3,7,4,5,2,6]=>8 [1,3,7,4,5,6,2]=>9 [1,3,7,4,6,2,5]=>8 [1,3,7,4,6,5,2]=>9 [1,3,7,5,2,4,6]=>4 [1,3,7,5,2,6,4]=>4 [1,3,7,5,4,2,6]=>0 [1,3,7,5,4,6,2]=>6 [1,3,7,5,6,2,4]=>5 [1,3,7,5,6,4,2]=>0 [1,3,7,6,2,4,5]=>4 [1,3,7,6,2,5,4]=>4 [1,3,7,6,4,2,5]=>0 [1,3,7,6,4,5,2]=>6 [1,3,7,6,5,2,4]=>5 [1,3,7,6,5,4,2]=>0 [1,4,2,3,5,6,7]=>0 [1,4,2,3,5,7,6]=>0 [1,4,2,3,6,5,7]=>0 [1,4,2,3,6,7,5]=>0 [1,4,2,3,7,5,6]=>0 [1,4,2,3,7,6,5]=>0 [1,4,2,5,3,6,7]=>0 [1,4,2,5,3,7,6]=>0 [1,4,2,5,6,3,7]=>5 [1,4,2,5,6,7,3]=>6 [1,4,2,5,7,3,6]=>5 [1,4,2,5,7,6,3]=>6 [1,4,2,6,3,5,7]=>4 [1,4,2,6,3,7,5]=>4 [1,4,2,6,5,3,7]=>0 [1,4,2,6,5,7,3]=>6 [1,4,2,6,7,3,5]=>5 [1,4,2,6,7,5,3]=>0 [1,4,2,7,3,5,6]=>4 [1,4,2,7,3,6,5]=>4 [1,4,2,7,5,3,6]=>0 [1,4,2,7,5,6,3]=>6 [1,4,2,7,6,3,5]=>5 [1,4,2,7,6,5,3]=>0 [1,4,3,2,5,6,7]=>0 [1,4,3,2,5,7,6]=>0 [1,4,3,2,6,5,7]=>0 [1,4,3,2,6,7,5]=>0 [1,4,3,2,7,5,6]=>0 [1,4,3,2,7,6,5]=>0 [1,4,3,5,2,6,7]=>4 [1,4,3,5,2,7,6]=>4 [1,4,3,5,6,2,7]=>5 [1,4,3,5,6,7,2]=>6 [1,4,3,5,7,2,6]=>5 [1,4,3,5,7,6,2]=>6 [1,4,3,6,2,5,7]=>4 [1,4,3,6,2,7,5]=>4 [1,4,3,6,5,2,7]=>5 [1,4,3,6,5,7,2]=>6 [1,4,3,6,7,2,5]=>5 [1,4,3,6,7,5,2]=>6 [1,4,3,7,2,5,6]=>4 [1,4,3,7,2,6,5]=>4 [1,4,3,7,5,2,6]=>5 [1,4,3,7,5,6,2]=>6 [1,4,3,7,6,2,5]=>5 [1,4,3,7,6,5,2]=>6 [1,4,5,2,3,6,7]=>3 [1,4,5,2,3,7,6]=>3 [1,4,5,2,6,3,7]=>8 [1,4,5,2,6,7,3]=>9 [1,4,5,2,7,3,6]=>8 [1,4,5,2,7,6,3]=>9 [1,4,5,3,2,6,7]=>0 [1,4,5,3,2,7,6]=>0 [1,4,5,3,6,2,7]=>5 [1,4,5,3,6,7,2]=>6 [1,4,5,3,7,2,6]=>5 [1,4,5,3,7,6,2]=>6 [1,4,5,6,2,3,7]=>4 [1,4,5,6,2,7,3]=>10 [1,4,5,6,3,2,7]=>4 [1,4,5,6,3,7,2]=>10 [1,4,5,6,7,2,3]=>5 [1,4,5,6,7,3,2]=>5 [1,4,5,7,2,3,6]=>4 [1,4,5,7,2,6,3]=>10 [1,4,5,7,3,2,6]=>4 [1,4,5,7,3,6,2]=>10 [1,4,5,7,6,2,3]=>5 [1,4,5,7,6,3,2]=>5 [1,4,6,2,3,5,7]=>3 [1,4,6,2,3,7,5]=>3 [1,4,6,2,5,3,7]=>3 [1,4,6,2,5,7,3]=>9 [1,4,6,2,7,3,5]=>8 [1,4,6,2,7,5,3]=>3 [1,4,6,3,2,5,7]=>3 [1,4,6,3,2,7,5]=>3 [1,4,6,3,5,2,7]=>8 [1,4,6,3,5,7,2]=>9 [1,4,6,3,7,2,5]=>8 [1,4,6,3,7,5,2]=>9 [1,4,6,5,2,3,7]=>4 [1,4,6,5,2,7,3]=>10 [1,4,6,5,3,2,7]=>0 [1,4,6,5,3,7,2]=>6
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The 2-shifted major index of a permutation.
This is given by the sum of all indices $i$ such that $\pi(i)-\pi(i+1) > 2$.
Summing with St000495The number of inversions of distance at most 2 of a permutation. yields Rawlings' Mahonian statistic, see [1, p. 50].
References
[1] https://www.math.ias.edu/files/wam/mwachs.pdf
Code
def statistic(pi):
    return sum( i+1 for i in range(len(pi)-1) if pi[i] - pi[i+1] >= 3 )
Created
Aug 29, 2017 at 11:08 by Christian Stump
Updated
Aug 29, 2017 at 11:08 by Christian Stump