edit this statistic or download as text // json
Identifier
Values
=>
[1]=>0 [1,2]=>0 [2,1]=>0 [1,2,3]=>0 [1,3,2]=>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]=>1 [2,1,3,4]=>0 [2,1,4,3]=>0 [2,3,1,4]=>0 [2,3,4,1]=>0 [2,4,1,3]=>0 [2,4,3,1]=>0 [3,1,2,4]=>0 [3,1,4,2]=>0 [3,2,1,4]=>0 [3,2,4,1]=>0 [3,4,1,2]=>0 [3,4,2,1]=>0 [4,1,2,3]=>0 [4,1,3,2]=>0 [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]=>2 [1,3,2,4,5]=>0 [1,3,2,5,4]=>0 [1,3,4,2,5]=>0 [1,3,4,5,2]=>0 [1,3,5,2,4]=>0 [1,3,5,4,2]=>1 [1,4,2,3,5]=>0 [1,4,2,5,3]=>0 [1,4,3,2,5]=>1 [1,4,3,5,2]=>1 [1,4,5,2,3]=>0 [1,4,5,3,2]=>2 [1,5,2,3,4]=>0 [1,5,2,4,3]=>1 [1,5,3,2,4]=>1 [1,5,3,4,2]=>2 [1,5,4,2,3]=>2 [1,5,4,3,2]=>4 [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]=>2 [2,3,1,4,5]=>0 [2,3,1,5,4]=>0 [2,3,4,1,5]=>0 [2,3,4,5,1]=>0 [2,3,5,1,4]=>0 [2,3,5,4,1]=>0 [2,4,1,3,5]=>0 [2,4,1,5,3]=>0 [2,4,3,1,5]=>0 [2,4,3,5,1]=>0 [2,4,5,1,3]=>0 [2,4,5,3,1]=>0 [2,5,1,3,4]=>0 [2,5,1,4,3]=>1 [2,5,3,1,4]=>0 [2,5,3,4,1]=>0 [2,5,4,1,3]=>1 [2,5,4,3,1]=>1 [3,1,2,4,5]=>0 [3,1,2,5,4]=>0 [3,1,4,2,5]=>0 [3,1,4,5,2]=>0 [3,1,5,2,4]=>0 [3,1,5,4,2]=>1 [3,2,1,4,5]=>0 [3,2,1,5,4]=>0 [3,2,4,1,5]=>0 [3,2,4,5,1]=>0 [3,2,5,1,4]=>0 [3,2,5,4,1]=>0 [3,4,1,2,5]=>0 [3,4,1,5,2]=>0 [3,4,2,1,5]=>0 [3,4,2,5,1]=>0 [3,4,5,1,2]=>0 [3,4,5,2,1]=>0 [3,5,1,2,4]=>0 [3,5,1,4,2]=>0 [3,5,2,1,4]=>0 [3,5,2,4,1]=>0 [3,5,4,1,2]=>0 [3,5,4,2,1]=>0 [4,1,2,3,5]=>0 [4,1,2,5,3]=>0 [4,1,3,2,5]=>0 [4,1,3,5,2]=>0 [4,1,5,2,3]=>0 [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]=>0 [4,2,5,1,3]=>0 [4,2,5,3,1]=>0 [4,3,1,2,5]=>0 [4,3,1,5,2]=>0 [4,3,2,1,5]=>0 [4,3,2,5,1]=>0 [4,3,5,1,2]=>0 [4,3,5,2,1]=>0 [4,5,1,2,3]=>0 [4,5,1,3,2]=>0 [4,5,2,1,3]=>0 [4,5,2,3,1]=>0 [4,5,3,1,2]=>0 [4,5,3,2,1]=>0 [5,1,2,3,4]=>0 [5,1,2,4,3]=>0 [5,1,3,2,4]=>0 [5,1,3,4,2]=>0 [5,1,4,2,3]=>0 [5,1,4,3,2]=>1 [5,2,1,3,4]=>0 [5,2,1,4,3]=>0 [5,2,3,1,4]=>0 [5,2,3,4,1]=>0 [5,2,4,1,3]=>0 [5,2,4,3,1]=>0 [5,3,1,2,4]=>0 [5,3,1,4,2]=>0 [5,3,2,1,4]=>0 [5,3,2,4,1]=>0 [5,3,4,1,2]=>0 [5,3,4,2,1]=>0 [5,4,1,2,3]=>0 [5,4,1,3,2]=>0 [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]=>3 [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]=>0 [1,2,4,6,3,5]=>0 [1,2,4,6,5,3]=>2 [1,2,5,3,4,6]=>0 [1,2,5,3,6,4]=>0 [1,2,5,4,3,6]=>2 [1,2,5,4,6,3]=>2 [1,2,5,6,3,4]=>0 [1,2,5,6,4,3]=>4 [1,2,6,3,4,5]=>0 [1,2,6,3,5,4]=>2 [1,2,6,4,3,5]=>2 [1,2,6,4,5,3]=>4 [1,2,6,5,3,4]=>4 [1,2,6,5,4,3]=>8 [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]=>3 [1,3,4,2,5,6]=>0 [1,3,4,2,6,5]=>0 [1,3,4,5,2,6]=>0 [1,3,4,5,6,2]=>0 [1,3,4,6,2,5]=>0 [1,3,4,6,5,2]=>1 [1,3,5,2,4,6]=>0 [1,3,5,2,6,4]=>0 [1,3,5,4,2,6]=>1 [1,3,5,4,6,2]=>1 [1,3,5,6,2,4]=>0 [1,3,5,6,4,2]=>2 [1,3,6,2,4,5]=>0 [1,3,6,2,5,4]=>2 [1,3,6,4,2,5]=>1 [1,3,6,4,5,2]=>2 [1,3,6,5,2,4]=>3 [1,3,6,5,4,2]=>5 [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]=>0 [1,4,2,6,3,5]=>0 [1,4,2,6,5,3]=>2 [1,4,3,2,5,6]=>1 [1,4,3,2,6,5]=>1 [1,4,3,5,2,6]=>1 [1,4,3,5,6,2]=>1 [1,4,3,6,2,5]=>1 [1,4,3,6,5,2]=>2 [1,4,5,2,3,6]=>0 [1,4,5,2,6,3]=>0 [1,4,5,3,2,6]=>2 [1,4,5,3,6,2]=>2 [1,4,5,6,2,3]=>0 [1,4,5,6,3,2]=>3 [1,4,6,2,3,5]=>0 [1,4,6,2,5,3]=>1 [1,4,6,3,2,5]=>2 [1,4,6,3,5,2]=>3 [1,4,6,5,2,3]=>2 [1,4,6,5,3,2]=>5 [1,5,2,3,4,6]=>0 [1,5,2,3,6,4]=>0 [1,5,2,4,3,6]=>1 [1,5,2,4,6,3]=>1 [1,5,2,6,3,4]=>0 [1,5,2,6,4,3]=>3 [1,5,3,2,4,6]=>1 [1,5,3,2,6,4]=>1 [1,5,3,4,2,6]=>2 [1,5,3,4,6,2]=>2 [1,5,3,6,2,4]=>1 [1,5,3,6,4,2]=>3 [1,5,4,2,3,6]=>2 [1,5,4,2,6,3]=>2 [1,5,4,3,2,6]=>4 [1,5,4,3,6,2]=>4 [1,5,4,6,2,3]=>2 [1,5,4,6,3,2]=>5 [1,5,6,2,3,4]=>0 [1,5,6,2,4,3]=>2 [1,5,6,3,2,4]=>2 [1,5,6,3,4,2]=>4 [1,5,6,4,2,3]=>4 [1,5,6,4,3,2]=>7 [1,6,2,3,4,5]=>0 [1,6,2,3,5,4]=>1 [1,6,2,4,3,5]=>1 [1,6,2,4,5,3]=>2 [1,6,2,5,3,4]=>2 [1,6,2,5,4,3]=>5 [1,6,3,2,4,5]=>1 [1,6,3,2,5,4]=>2 [1,6,3,4,2,5]=>2 [1,6,3,4,5,2]=>3 [1,6,3,5,2,4]=>3 [1,6,3,5,4,2]=>5 [1,6,4,2,3,5]=>2 [1,6,4,2,5,3]=>3 [1,6,4,3,2,5]=>4 [1,6,4,3,5,2]=>5 [1,6,4,5,2,3]=>4 [1,6,4,5,3,2]=>7 [1,6,5,2,3,4]=>3 [1,6,5,2,4,3]=>5 [1,6,5,3,2,4]=>5 [1,6,5,3,4,2]=>7 [1,6,5,4,2,3]=>7 [1,6,5,4,3,2]=>10 [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]=>3 [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]=>0 [2,1,4,6,3,5]=>0 [2,1,4,6,5,3]=>2 [2,1,5,3,4,6]=>0 [2,1,5,3,6,4]=>0 [2,1,5,4,3,6]=>2 [2,1,5,4,6,3]=>2 [2,1,5,6,3,4]=>0 [2,1,5,6,4,3]=>4 [2,1,6,3,4,5]=>0 [2,1,6,3,5,4]=>2 [2,1,6,4,3,5]=>2 [2,1,6,4,5,3]=>4 [2,1,6,5,3,4]=>4 [2,1,6,5,4,3]=>8 [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]=>3 [2,3,4,1,5,6]=>0 [2,3,4,1,6,5]=>0 [2,3,4,5,1,6]=>0 [2,3,4,5,6,1]=>0 [2,3,4,6,1,5]=>0 [2,3,4,6,5,1]=>0 [2,3,5,1,4,6]=>0 [2,3,5,1,6,4]=>0 [2,3,5,4,1,6]=>0 [2,3,5,4,6,1]=>0 [2,3,5,6,1,4]=>0 [2,3,5,6,4,1]=>0 [2,3,6,1,4,5]=>0 [2,3,6,1,5,4]=>2 [2,3,6,4,1,5]=>0 [2,3,6,4,5,1]=>0 [2,3,6,5,1,4]=>2 [2,3,6,5,4,1]=>2 [2,4,1,3,5,6]=>0 [2,4,1,3,6,5]=>0 [2,4,1,5,3,6]=>0 [2,4,1,5,6,3]=>0 [2,4,1,6,3,5]=>0 [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]=>0 [2,4,3,5,6,1]=>0 [2,4,3,6,1,5]=>0 [2,4,3,6,5,1]=>0 [2,4,5,1,3,6]=>0 [2,4,5,1,6,3]=>0 [2,4,5,3,1,6]=>0 [2,4,5,3,6,1]=>0 [2,4,5,6,1,3]=>0 [2,4,5,6,3,1]=>0 [2,4,6,1,3,5]=>0 [2,4,6,1,5,3]=>1 [2,4,6,3,1,5]=>0 [2,4,6,3,5,1]=>0 [2,4,6,5,1,3]=>1 [2,4,6,5,3,1]=>1 [2,5,1,3,4,6]=>0 [2,5,1,3,6,4]=>0 [2,5,1,4,3,6]=>1 [2,5,1,4,6,3]=>1 [2,5,1,6,3,4]=>0 [2,5,1,6,4,3]=>3 [2,5,3,1,4,6]=>0 [2,5,3,1,6,4]=>0 [2,5,3,4,1,6]=>0 [2,5,3,4,6,1]=>0 [2,5,3,6,1,4]=>0 [2,5,3,6,4,1]=>0 [2,5,4,1,3,6]=>1 [2,5,4,1,6,3]=>1 [2,5,4,3,1,6]=>1 [2,5,4,3,6,1]=>1 [2,5,4,6,1,3]=>1 [2,5,4,6,3,1]=>1 [2,5,6,1,3,4]=>0 [2,5,6,1,4,3]=>2 [2,5,6,3,1,4]=>0 [2,5,6,3,4,1]=>0 [2,5,6,4,1,3]=>2 [2,5,6,4,3,1]=>2 [2,6,1,3,4,5]=>0 [2,6,1,3,5,4]=>1 [2,6,1,4,3,5]=>1 [2,6,1,4,5,3]=>2 [2,6,1,5,3,4]=>2 [2,6,1,5,4,3]=>5 [2,6,3,1,4,5]=>0 [2,6,3,1,5,4]=>1 [2,6,3,4,1,5]=>0 [2,6,3,4,5,1]=>0 [2,6,3,5,1,4]=>1 [2,6,3,5,4,1]=>1 [2,6,4,1,3,5]=>1 [2,6,4,1,5,3]=>2 [2,6,4,3,1,5]=>1 [2,6,4,3,5,1]=>1 [2,6,4,5,1,3]=>2 [2,6,4,5,3,1]=>2 [2,6,5,1,3,4]=>2 [2,6,5,1,4,3]=>4 [2,6,5,3,1,4]=>2 [2,6,5,3,4,1]=>2 [2,6,5,4,1,3]=>4 [2,6,5,4,3,1]=>4 [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]=>3 [3,1,4,2,5,6]=>0 [3,1,4,2,6,5]=>0 [3,1,4,5,2,6]=>0 [3,1,4,5,6,2]=>0 [3,1,4,6,2,5]=>0 [3,1,4,6,5,2]=>1 [3,1,5,2,4,6]=>0 [3,1,5,2,6,4]=>0 [3,1,5,4,2,6]=>1 [3,1,5,4,6,2]=>1 [3,1,5,6,2,4]=>0 [3,1,5,6,4,2]=>2 [3,1,6,2,4,5]=>0 [3,1,6,2,5,4]=>2 [3,1,6,4,2,5]=>1 [3,1,6,4,5,2]=>2 [3,1,6,5,2,4]=>3 [3,1,6,5,4,2]=>5 [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]=>3 [3,2,4,1,5,6]=>0 [3,2,4,1,6,5]=>0 [3,2,4,5,1,6]=>0 [3,2,4,5,6,1]=>0 [3,2,4,6,1,5]=>0 [3,2,4,6,5,1]=>0 [3,2,5,1,4,6]=>0 [3,2,5,1,6,4]=>0 [3,2,5,4,1,6]=>0 [3,2,5,4,6,1]=>0 [3,2,5,6,1,4]=>0 [3,2,5,6,4,1]=>0 [3,2,6,1,4,5]=>0 [3,2,6,1,5,4]=>2 [3,2,6,4,1,5]=>0 [3,2,6,4,5,1]=>0 [3,2,6,5,1,4]=>2 [3,2,6,5,4,1]=>2 [3,4,1,2,5,6]=>0 [3,4,1,2,6,5]=>0 [3,4,1,5,2,6]=>0 [3,4,1,5,6,2]=>0 [3,4,1,6,2,5]=>0 [3,4,1,6,5,2]=>1 [3,4,2,1,5,6]=>0 [3,4,2,1,6,5]=>0 [3,4,2,5,1,6]=>0 [3,4,2,5,6,1]=>0 [3,4,2,6,1,5]=>0 [3,4,2,6,5,1]=>0 [3,4,5,1,2,6]=>0 [3,4,5,1,6,2]=>0 [3,4,5,2,1,6]=>0 [3,4,5,2,6,1]=>0 [3,4,5,6,1,2]=>0 [3,4,5,6,2,1]=>0 [3,4,6,1,2,5]=>0 [3,4,6,1,5,2]=>0 [3,4,6,2,1,5]=>0 [3,4,6,2,5,1]=>0 [3,4,6,5,1,2]=>0 [3,4,6,5,2,1]=>0 [3,5,1,2,4,6]=>0 [3,5,1,2,6,4]=>0 [3,5,1,4,2,6]=>0 [3,5,1,4,6,2]=>0 [3,5,1,6,2,4]=>0 [3,5,1,6,4,2]=>1 [3,5,2,1,4,6]=>0 [3,5,2,1,6,4]=>0 [3,5,2,4,1,6]=>0 [3,5,2,4,6,1]=>0 [3,5,2,6,1,4]=>0 [3,5,2,6,4,1]=>0 [3,5,4,1,2,6]=>0 [3,5,4,1,6,2]=>0 [3,5,4,2,1,6]=>0 [3,5,4,2,6,1]=>0 [3,5,4,6,1,2]=>0 [3,5,4,6,2,1]=>0 [3,5,6,1,2,4]=>0 [3,5,6,1,4,2]=>0 [3,5,6,2,1,4]=>0 [3,5,6,2,4,1]=>0 [3,5,6,4,1,2]=>0 [3,5,6,4,2,1]=>0 [3,6,1,2,4,5]=>0 [3,6,1,2,5,4]=>1 [3,6,1,4,2,5]=>0 [3,6,1,4,5,2]=>0 [3,6,1,5,2,4]=>1 [3,6,1,5,4,2]=>2 [3,6,2,1,4,5]=>0 [3,6,2,1,5,4]=>1 [3,6,2,4,1,5]=>0 [3,6,2,4,5,1]=>0 [3,6,2,5,1,4]=>1 [3,6,2,5,4,1]=>1 [3,6,4,1,2,5]=>0 [3,6,4,1,5,2]=>0 [3,6,4,2,1,5]=>0 [3,6,4,2,5,1]=>0 [3,6,4,5,1,2]=>0 [3,6,4,5,2,1]=>0 [3,6,5,1,2,4]=>1 [3,6,5,1,4,2]=>1 [3,6,5,2,1,4]=>1 [3,6,5,2,4,1]=>1 [3,6,5,4,1,2]=>1 [3,6,5,4,2,1]=>1 [4,1,2,3,5,6]=>0 [4,1,2,3,6,5]=>0 [4,1,2,5,3,6]=>0 [4,1,2,5,6,3]=>0 [4,1,2,6,3,5]=>0 [4,1,2,6,5,3]=>2 [4,1,3,2,5,6]=>0 [4,1,3,2,6,5]=>0 [4,1,3,5,2,6]=>0 [4,1,3,5,6,2]=>0 [4,1,3,6,2,5]=>0 [4,1,3,6,5,2]=>1 [4,1,5,2,3,6]=>0 [4,1,5,2,6,3]=>0 [4,1,5,3,2,6]=>1 [4,1,5,3,6,2]=>1 [4,1,5,6,2,3]=>0 [4,1,5,6,3,2]=>2 [4,1,6,2,3,5]=>0 [4,1,6,2,5,3]=>1 [4,1,6,3,2,5]=>1 [4,1,6,3,5,2]=>2 [4,1,6,5,2,3]=>2 [4,1,6,5,3,2]=>4 [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]=>0 [4,2,1,6,3,5]=>0 [4,2,1,6,5,3]=>2 [4,2,3,1,5,6]=>0 [4,2,3,1,6,5]=>0 [4,2,3,5,1,6]=>0 [4,2,3,5,6,1]=>0 [4,2,3,6,1,5]=>0 [4,2,3,6,5,1]=>0 [4,2,5,1,3,6]=>0 [4,2,5,1,6,3]=>0 [4,2,5,3,1,6]=>0 [4,2,5,3,6,1]=>0 [4,2,5,6,1,3]=>0 [4,2,5,6,3,1]=>0 [4,2,6,1,3,5]=>0 [4,2,6,1,5,3]=>1 [4,2,6,3,1,5]=>0 [4,2,6,3,5,1]=>0 [4,2,6,5,1,3]=>1 [4,2,6,5,3,1]=>1 [4,3,1,2,5,6]=>0 [4,3,1,2,6,5]=>0 [4,3,1,5,2,6]=>0 [4,3,1,5,6,2]=>0 [4,3,1,6,2,5]=>0 [4,3,1,6,5,2]=>1 [4,3,2,1,5,6]=>0 [4,3,2,1,6,5]=>0 [4,3,2,5,1,6]=>0 [4,3,2,5,6,1]=>0 [4,3,2,6,1,5]=>0 [4,3,2,6,5,1]=>0 [4,3,5,1,2,6]=>0 [4,3,5,1,6,2]=>0 [4,3,5,2,1,6]=>0 [4,3,5,2,6,1]=>0 [4,3,5,6,1,2]=>0 [4,3,5,6,2,1]=>0 [4,3,6,1,2,5]=>0 [4,3,6,1,5,2]=>0 [4,3,6,2,1,5]=>0 [4,3,6,2,5,1]=>0 [4,3,6,5,1,2]=>0 [4,3,6,5,2,1]=>0 [4,5,1,2,3,6]=>0 [4,5,1,2,6,3]=>0 [4,5,1,3,2,6]=>0 [4,5,1,3,6,2]=>0 [4,5,1,6,2,3]=>0 [4,5,1,6,3,2]=>1 [4,5,2,1,3,6]=>0 [4,5,2,1,6,3]=>0 [4,5,2,3,1,6]=>0 [4,5,2,3,6,1]=>0 [4,5,2,6,1,3]=>0 [4,5,2,6,3,1]=>0 [4,5,3,1,2,6]=>0 [4,5,3,1,6,2]=>0 [4,5,3,2,1,6]=>0 [4,5,3,2,6,1]=>0 [4,5,3,6,1,2]=>0 [4,5,3,6,2,1]=>0 [4,5,6,1,2,3]=>0 [4,5,6,1,3,2]=>0 [4,5,6,2,1,3]=>0 [4,5,6,2,3,1]=>0 [4,5,6,3,1,2]=>0 [4,5,6,3,2,1]=>0 [4,6,1,2,3,5]=>0 [4,6,1,2,5,3]=>0 [4,6,1,3,2,5]=>0 [4,6,1,3,5,2]=>0 [4,6,1,5,2,3]=>0 [4,6,1,5,3,2]=>1 [4,6,2,1,3,5]=>0 [4,6,2,1,5,3]=>0 [4,6,2,3,1,5]=>0 [4,6,2,3,5,1]=>0 [4,6,2,5,1,3]=>0 [4,6,2,5,3,1]=>0 [4,6,3,1,2,5]=>0 [4,6,3,1,5,2]=>0 [4,6,3,2,1,5]=>0 [4,6,3,2,5,1]=>0 [4,6,3,5,1,2]=>0 [4,6,3,5,2,1]=>0 [4,6,5,1,2,3]=>0 [4,6,5,1,3,2]=>0 [4,6,5,2,1,3]=>0 [4,6,5,2,3,1]=>0 [4,6,5,3,1,2]=>0 [4,6,5,3,2,1]=>0 [5,1,2,3,4,6]=>0 [5,1,2,3,6,4]=>0 [5,1,2,4,3,6]=>0 [5,1,2,4,6,3]=>0 [5,1,2,6,3,4]=>0 [5,1,2,6,4,3]=>2 [5,1,3,2,4,6]=>0 [5,1,3,2,6,4]=>0 [5,1,3,4,2,6]=>0 [5,1,3,4,6,2]=>0 [5,1,3,6,2,4]=>0 [5,1,3,6,4,2]=>1 [5,1,4,2,3,6]=>0 [5,1,4,2,6,3]=>0 [5,1,4,3,2,6]=>1 [5,1,4,3,6,2]=>1 [5,1,4,6,2,3]=>0 [5,1,4,6,3,2]=>2 [5,1,6,2,3,4]=>0 [5,1,6,2,4,3]=>1 [5,1,6,3,2,4]=>1 [5,1,6,3,4,2]=>2 [5,1,6,4,2,3]=>2 [5,1,6,4,3,2]=>4 [5,2,1,3,4,6]=>0 [5,2,1,3,6,4]=>0 [5,2,1,4,3,6]=>0 [5,2,1,4,6,3]=>0 [5,2,1,6,3,4]=>0 [5,2,1,6,4,3]=>2 [5,2,3,1,4,6]=>0 [5,2,3,1,6,4]=>0 [5,2,3,4,1,6]=>0 [5,2,3,4,6,1]=>0 [5,2,3,6,1,4]=>0 [5,2,3,6,4,1]=>0 [5,2,4,1,3,6]=>0 [5,2,4,1,6,3]=>0 [5,2,4,3,1,6]=>0 [5,2,4,3,6,1]=>0 [5,2,4,6,1,3]=>0 [5,2,4,6,3,1]=>0 [5,2,6,1,3,4]=>0 [5,2,6,1,4,3]=>1 [5,2,6,3,1,4]=>0 [5,2,6,3,4,1]=>0 [5,2,6,4,1,3]=>1 [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]=>0 [5,3,1,6,2,4]=>0 [5,3,1,6,4,2]=>1 [5,3,2,1,4,6]=>0 [5,3,2,1,6,4]=>0 [5,3,2,4,1,6]=>0 [5,3,2,4,6,1]=>0 [5,3,2,6,1,4]=>0 [5,3,2,6,4,1]=>0 [5,3,4,1,2,6]=>0 [5,3,4,1,6,2]=>0 [5,3,4,2,1,6]=>0 [5,3,4,2,6,1]=>0 [5,3,4,6,1,2]=>0 [5,3,4,6,2,1]=>0 [5,3,6,1,2,4]=>0 [5,3,6,1,4,2]=>0 [5,3,6,2,1,4]=>0 [5,3,6,2,4,1]=>0 [5,3,6,4,1,2]=>0 [5,3,6,4,2,1]=>0 [5,4,1,2,3,6]=>0 [5,4,1,2,6,3]=>0 [5,4,1,3,2,6]=>0 [5,4,1,3,6,2]=>0 [5,4,1,6,2,3]=>0 [5,4,1,6,3,2]=>1 [5,4,2,1,3,6]=>0 [5,4,2,1,6,3]=>0 [5,4,2,3,1,6]=>0 [5,4,2,3,6,1]=>0 [5,4,2,6,1,3]=>0 [5,4,2,6,3,1]=>0 [5,4,3,1,2,6]=>0 [5,4,3,1,6,2]=>0 [5,4,3,2,1,6]=>0 [5,4,3,2,6,1]=>0 [5,4,3,6,1,2]=>0 [5,4,3,6,2,1]=>0 [5,4,6,1,2,3]=>0 [5,4,6,1,3,2]=>0 [5,4,6,2,1,3]=>0 [5,4,6,2,3,1]=>0 [5,4,6,3,1,2]=>0 [5,4,6,3,2,1]=>0 [5,6,1,2,3,4]=>0 [5,6,1,2,4,3]=>0 [5,6,1,3,2,4]=>0 [5,6,1,3,4,2]=>0 [5,6,1,4,2,3]=>0 [5,6,1,4,3,2]=>1 [5,6,2,1,3,4]=>0 [5,6,2,1,4,3]=>0 [5,6,2,3,1,4]=>0 [5,6,2,3,4,1]=>0 [5,6,2,4,1,3]=>0 [5,6,2,4,3,1]=>0 [5,6,3,1,2,4]=>0 [5,6,3,1,4,2]=>0 [5,6,3,2,1,4]=>0 [5,6,3,2,4,1]=>0 [5,6,3,4,1,2]=>0 [5,6,3,4,2,1]=>0 [5,6,4,1,2,3]=>0 [5,6,4,1,3,2]=>0 [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]=>0 [6,1,2,3,5,4]=>0 [6,1,2,4,3,5]=>0 [6,1,2,4,5,3]=>0 [6,1,2,5,3,4]=>0 [6,1,2,5,4,3]=>2 [6,1,3,2,4,5]=>0 [6,1,3,2,5,4]=>0 [6,1,3,4,2,5]=>0 [6,1,3,4,5,2]=>0 [6,1,3,5,2,4]=>0 [6,1,3,5,4,2]=>1 [6,1,4,2,3,5]=>0 [6,1,4,2,5,3]=>0 [6,1,4,3,2,5]=>1 [6,1,4,3,5,2]=>1 [6,1,4,5,2,3]=>0 [6,1,4,5,3,2]=>2 [6,1,5,2,3,4]=>0 [6,1,5,2,4,3]=>1 [6,1,5,3,2,4]=>1 [6,1,5,3,4,2]=>2 [6,1,5,4,2,3]=>2 [6,1,5,4,3,2]=>4 [6,2,1,3,4,5]=>0 [6,2,1,3,5,4]=>0 [6,2,1,4,3,5]=>0 [6,2,1,4,5,3]=>0 [6,2,1,5,3,4]=>0 [6,2,1,5,4,3]=>2 [6,2,3,1,4,5]=>0 [6,2,3,1,5,4]=>0 [6,2,3,4,1,5]=>0 [6,2,3,4,5,1]=>0 [6,2,3,5,1,4]=>0 [6,2,3,5,4,1]=>0 [6,2,4,1,3,5]=>0 [6,2,4,1,5,3]=>0 [6,2,4,3,1,5]=>0 [6,2,4,3,5,1]=>0 [6,2,4,5,1,3]=>0 [6,2,4,5,3,1]=>0 [6,2,5,1,3,4]=>0 [6,2,5,1,4,3]=>1 [6,2,5,3,1,4]=>0 [6,2,5,3,4,1]=>0 [6,2,5,4,1,3]=>1 [6,2,5,4,3,1]=>1 [6,3,1,2,4,5]=>0 [6,3,1,2,5,4]=>0 [6,3,1,4,2,5]=>0 [6,3,1,4,5,2]=>0 [6,3,1,5,2,4]=>0 [6,3,1,5,4,2]=>1 [6,3,2,1,4,5]=>0 [6,3,2,1,5,4]=>0 [6,3,2,4,1,5]=>0 [6,3,2,4,5,1]=>0 [6,3,2,5,1,4]=>0 [6,3,2,5,4,1]=>0 [6,3,4,1,2,5]=>0 [6,3,4,1,5,2]=>0 [6,3,4,2,1,5]=>0 [6,3,4,2,5,1]=>0 [6,3,4,5,1,2]=>0 [6,3,4,5,2,1]=>0 [6,3,5,1,2,4]=>0 [6,3,5,1,4,2]=>0 [6,3,5,2,1,4]=>0 [6,3,5,2,4,1]=>0 [6,3,5,4,1,2]=>0 [6,3,5,4,2,1]=>0 [6,4,1,2,3,5]=>0 [6,4,1,2,5,3]=>0 [6,4,1,3,2,5]=>0 [6,4,1,3,5,2]=>0 [6,4,1,5,2,3]=>0 [6,4,1,5,3,2]=>1 [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]=>0 [6,4,2,5,1,3]=>0 [6,4,2,5,3,1]=>0 [6,4,3,1,2,5]=>0 [6,4,3,1,5,2]=>0 [6,4,3,2,1,5]=>0 [6,4,3,2,5,1]=>0 [6,4,3,5,1,2]=>0 [6,4,3,5,2,1]=>0 [6,4,5,1,2,3]=>0 [6,4,5,1,3,2]=>0 [6,4,5,2,1,3]=>0 [6,4,5,2,3,1]=>0 [6,4,5,3,1,2]=>0 [6,4,5,3,2,1]=>0 [6,5,1,2,3,4]=>0 [6,5,1,2,4,3]=>0 [6,5,1,3,2,4]=>0 [6,5,1,3,4,2]=>0 [6,5,1,4,2,3]=>0 [6,5,1,4,3,2]=>1 [6,5,2,1,3,4]=>0 [6,5,2,1,4,3]=>0 [6,5,2,3,1,4]=>0 [6,5,2,3,4,1]=>0 [6,5,2,4,1,3]=>0 [6,5,2,4,3,1]=>0 [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]=>0 [6,5,3,4,1,2]=>0 [6,5,3,4,2,1]=>0 [6,5,4,1,2,3]=>0 [6,5,4,1,3,2]=>0 [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]=>4 [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]=>0 [1,2,3,5,7,4,6]=>0 [1,2,3,5,7,6,4]=>3 [1,2,3,6,4,5,7]=>0 [1,2,3,6,4,7,5]=>0 [1,2,3,6,5,4,7]=>3 [1,2,3,6,5,7,4]=>3 [1,2,3,6,7,4,5]=>0 [1,2,3,6,7,5,4]=>6 [1,2,3,7,4,5,6]=>0 [1,2,3,7,4,6,5]=>3 [1,2,3,7,5,4,6]=>3 [1,2,3,7,5,6,4]=>6 [1,2,3,7,6,4,5]=>6 [1,2,3,7,6,5,4]=>12 [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]=>4 [1,2,4,5,3,6,7]=>0 [1,2,4,5,3,7,6]=>0 [1,2,4,5,6,3,7]=>0 [1,2,4,5,6,7,3]=>0 [1,2,4,5,7,3,6]=>0 [1,2,4,5,7,6,3]=>2 [1,2,4,6,3,5,7]=>0 [1,2,4,6,3,7,5]=>0 [1,2,4,6,5,3,7]=>2 [1,2,4,6,5,7,3]=>2 [1,2,4,6,7,3,5]=>0 [1,2,4,6,7,5,3]=>4 [1,2,4,7,3,5,6]=>0 [1,2,4,7,3,6,5]=>3 [1,2,4,7,5,3,6]=>2 [1,2,4,7,5,6,3]=>4 [1,2,4,7,6,3,5]=>5 [1,2,4,7,6,5,3]=>9 [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]=>0 [1,2,5,3,7,4,6]=>0 [1,2,5,3,7,6,4]=>3 [1,2,5,4,3,6,7]=>2 [1,2,5,4,3,7,6]=>2 [1,2,5,4,6,3,7]=>2 [1,2,5,4,6,7,3]=>2 [1,2,5,4,7,3,6]=>2 [1,2,5,4,7,6,3]=>4 [1,2,5,6,3,4,7]=>0 [1,2,5,6,3,7,4]=>0 [1,2,5,6,4,3,7]=>4 [1,2,5,6,4,7,3]=>4 [1,2,5,6,7,3,4]=>0 [1,2,5,6,7,4,3]=>6 [1,2,5,7,3,4,6]=>0 [1,2,5,7,3,6,4]=>2 [1,2,5,7,4,3,6]=>4 [1,2,5,7,4,6,3]=>6 [1,2,5,7,6,3,4]=>4 [1,2,5,7,6,4,3]=>10 [1,2,6,3,4,5,7]=>0 [1,2,6,3,4,7,5]=>0 [1,2,6,3,5,4,7]=>2 [1,2,6,3,5,7,4]=>2 [1,2,6,3,7,4,5]=>0 [1,2,6,3,7,5,4]=>5 [1,2,6,4,3,5,7]=>2 [1,2,6,4,3,7,5]=>2 [1,2,6,4,5,3,7]=>4 [1,2,6,4,5,7,3]=>4 [1,2,6,4,7,3,5]=>2 [1,2,6,4,7,5,3]=>6 [1,2,6,5,3,4,7]=>4 [1,2,6,5,3,7,4]=>4 [1,2,6,5,4,3,7]=>8 [1,2,6,5,4,7,3]=>8 [1,2,6,5,7,3,4]=>4 [1,2,6,5,7,4,3]=>10 [1,2,6,7,3,4,5]=>0 [1,2,6,7,3,5,4]=>4 [1,2,6,7,4,3,5]=>4 [1,2,6,7,4,5,3]=>8 [1,2,6,7,5,3,4]=>8 [1,2,6,7,5,4,3]=>14 [1,2,7,3,4,5,6]=>0 [1,2,7,3,4,6,5]=>2 [1,2,7,3,5,4,6]=>2 [1,2,7,3,5,6,4]=>4 [1,2,7,3,6,4,5]=>4 [1,2,7,3,6,5,4]=>9 [1,2,7,4,3,5,6]=>2 [1,2,7,4,3,6,5]=>4 [1,2,7,4,5,3,6]=>4 [1,2,7,4,5,6,3]=>6 [1,2,7,4,6,3,5]=>6 [1,2,7,4,6,5,3]=>10 [1,2,7,5,3,4,6]=>4 [1,2,7,5,3,6,4]=>6 [1,2,7,5,4,3,6]=>8 [1,2,7,5,4,6,3]=>10 [1,2,7,5,6,3,4]=>8 [1,2,7,5,6,4,3]=>14 [1,2,7,6,3,4,5]=>6 [1,2,7,6,3,5,4]=>10 [1,2,7,6,4,3,5]=>10 [1,2,7,6,4,5,3]=>14 [1,2,7,6,5,3,4]=>14 [1,2,7,6,5,4,3]=>20 [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]=>4 [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]=>0 [1,3,2,5,7,4,6]=>0 [1,3,2,5,7,6,4]=>3 [1,3,2,6,4,5,7]=>0 [1,3,2,6,4,7,5]=>0 [1,3,2,6,5,4,7]=>3 [1,3,2,6,5,7,4]=>3 [1,3,2,6,7,4,5]=>0 [1,3,2,6,7,5,4]=>6 [1,3,2,7,4,5,6]=>0 [1,3,2,7,4,6,5]=>3 [1,3,2,7,5,4,6]=>3 [1,3,2,7,5,6,4]=>6 [1,3,2,7,6,4,5]=>6 [1,3,2,7,6,5,4]=>12 [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]=>4 [1,3,4,5,2,6,7]=>0 [1,3,4,5,2,7,6]=>0 [1,3,4,5,6,2,7]=>0 [1,3,4,5,6,7,2]=>0 [1,3,4,5,7,2,6]=>0 [1,3,4,5,7,6,2]=>1 [1,3,4,6,2,5,7]=>0 [1,3,4,6,2,7,5]=>0 [1,3,4,6,5,2,7]=>1 [1,3,4,6,5,7,2]=>1 [1,3,4,6,7,2,5]=>0 [1,3,4,6,7,5,2]=>2 [1,3,4,7,2,5,6]=>0 [1,3,4,7,2,6,5]=>3 [1,3,4,7,5,2,6]=>1 [1,3,4,7,5,6,2]=>2 [1,3,4,7,6,2,5]=>4 [1,3,4,7,6,5,2]=>6 [1,3,5,2,4,6,7]=>0 [1,3,5,2,4,7,6]=>0 [1,3,5,2,6,4,7]=>0 [1,3,5,2,6,7,4]=>0 [1,3,5,2,7,4,6]=>0 [1,3,5,2,7,6,4]=>3 [1,3,5,4,2,6,7]=>1 [1,3,5,4,2,7,6]=>1 [1,3,5,4,6,2,7]=>1 [1,3,5,4,6,7,2]=>1 [1,3,5,4,7,2,6]=>1 [1,3,5,4,7,6,2]=>2 [1,3,5,6,2,4,7]=>0 [1,3,5,6,2,7,4]=>0 [1,3,5,6,4,2,7]=>2 [1,3,5,6,4,7,2]=>2 [1,3,5,6,7,2,4]=>0 [1,3,5,6,7,4,2]=>3 [1,3,5,7,2,4,6]=>0 [1,3,5,7,2,6,4]=>2 [1,3,5,7,4,2,6]=>2 [1,3,5,7,4,6,2]=>3 [1,3,5,7,6,2,4]=>3 [1,3,5,7,6,4,2]=>6 [1,3,6,2,4,5,7]=>0 [1,3,6,2,4,7,5]=>0 [1,3,6,2,5,4,7]=>2 [1,3,6,2,5,7,4]=>2 [1,3,6,2,7,4,5]=>0 [1,3,6,2,7,5,4]=>5 [1,3,6,4,2,5,7]=>1 [1,3,6,4,2,7,5]=>1 [1,3,6,4,5,2,7]=>2 [1,3,6,4,5,7,2]=>2 [1,3,6,4,7,2,5]=>1 [1,3,6,4,7,5,2]=>3 [1,3,6,5,2,4,7]=>3 [1,3,6,5,2,7,4]=>3 [1,3,6,5,4,2,7]=>5 [1,3,6,5,4,7,2]=>5 [1,3,6,5,7,2,4]=>3 [1,3,6,5,7,4,2]=>6 [1,3,6,7,2,4,5]=>0 [1,3,6,7,2,5,4]=>4 [1,3,6,7,4,2,5]=>2 [1,3,6,7,4,5,2]=>4 [1,3,6,7,5,2,4]=>6 [1,3,6,7,5,4,2]=>9 [1,3,7,2,4,5,6]=>0 [1,3,7,2,4,6,5]=>2 [1,3,7,2,5,4,6]=>2 [1,3,7,2,5,6,4]=>4 [1,3,7,2,6,4,5]=>4 [1,3,7,2,6,5,4]=>9 [1,3,7,4,2,5,6]=>1 [1,3,7,4,2,6,5]=>3 [1,3,7,4,5,2,6]=>2 [1,3,7,4,5,6,2]=>3 [1,3,7,4,6,2,5]=>4 [1,3,7,4,6,5,2]=>6 [1,3,7,5,2,4,6]=>3 [1,3,7,5,2,6,4]=>5 [1,3,7,5,4,2,6]=>5 [1,3,7,5,4,6,2]=>6 [1,3,7,5,6,2,4]=>6 [1,3,7,5,6,4,2]=>9 [1,3,7,6,2,4,5]=>5 [1,3,7,6,2,5,4]=>9 [1,3,7,6,4,2,5]=>7 [1,3,7,6,4,5,2]=>9 [1,3,7,6,5,2,4]=>11 [1,3,7,6,5,4,2]=>14 [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]=>4 [1,4,2,5,3,6,7]=>0 [1,4,2,5,3,7,6]=>0 [1,4,2,5,6,3,7]=>0 [1,4,2,5,6,7,3]=>0 [1,4,2,5,7,3,6]=>0 [1,4,2,5,7,6,3]=>2 [1,4,2,6,3,5,7]=>0 [1,4,2,6,3,7,5]=>0 [1,4,2,6,5,3,7]=>2 [1,4,2,6,5,7,3]=>2 [1,4,2,6,7,3,5]=>0 [1,4,2,6,7,5,3]=>4 [1,4,2,7,3,5,6]=>0 [1,4,2,7,3,6,5]=>3 [1,4,2,7,5,3,6]=>2 [1,4,2,7,5,6,3]=>4 [1,4,2,7,6,3,5]=>5 [1,4,2,7,6,5,3]=>9 [1,4,3,2,5,6,7]=>1 [1,4,3,2,5,7,6]=>1 [1,4,3,2,6,5,7]=>1 [1,4,3,2,6,7,5]=>1 [1,4,3,2,7,5,6]=>1 [1,4,3,2,7,6,5]=>5 [1,4,3,5,2,6,7]=>1 [1,4,3,5,2,7,6]=>1 [1,4,3,5,6,2,7]=>1 [1,4,3,5,6,7,2]=>1 [1,4,3,5,7,2,6]=>1 [1,4,3,5,7,6,2]=>2 [1,4,3,6,2,5,7]=>1 [1,4,3,6,2,7,5]=>1 [1,4,3,6,5,2,7]=>2 [1,4,3,6,5,7,2]=>2 [1,4,3,6,7,2,5]=>1 [1,4,3,6,7,5,2]=>3 [1,4,3,7,2,5,6]=>1 [1,4,3,7,2,6,5]=>4 [1,4,3,7,5,2,6]=>2 [1,4,3,7,5,6,2]=>3 [1,4,3,7,6,2,5]=>5 [1,4,3,7,6,5,2]=>7 [1,4,5,2,3,6,7]=>0 [1,4,5,2,3,7,6]=>0 [1,4,5,2,6,3,7]=>0 [1,4,5,2,6,7,3]=>0 [1,4,5,2,7,3,6]=>0 [1,4,5,2,7,6,3]=>2 [1,4,5,3,2,6,7]=>2 [1,4,5,3,2,7,6]=>2 [1,4,5,3,6,2,7]=>2 [1,4,5,3,6,7,2]=>2 [1,4,5,3,7,2,6]=>2 [1,4,5,3,7,6,2]=>3 [1,4,5,6,2,3,7]=>0 [1,4,5,6,2,7,3]=>0 [1,4,5,6,3,2,7]=>3 [1,4,5,6,3,7,2]=>3 [1,4,5,6,7,2,3]=>0 [1,4,5,6,7,3,2]=>4 [1,4,5,7,2,3,6]=>0 [1,4,5,7,2,6,3]=>1 [1,4,5,7,3,2,6]=>3 [1,4,5,7,3,6,2]=>4 [1,4,5,7,6,2,3]=>2 [1,4,5,7,6,3,2]=>6 [1,4,6,2,3,5,7]=>0 [1,4,6,2,3,7,5]=>0 [1,4,6,2,5,3,7]=>1 [1,4,6,2,5,7,3]=>1 [1,4,6,2,7,3,5]=>0 [1,4,6,2,7,5,3]=>3 [1,4,6,3,2,5,7]=>2 [1,4,6,3,2,7,5]=>2 [1,4,6,3,5,2,7]=>3 [1,4,6,3,5,7,2]=>3 [1,4,6,3,7,2,5]=>2 [1,4,6,3,7,5,2]=>4 [1,4,6,5,2,3,7]=>2 [1,4,6,5,2,7,3]=>2 [1,4,6,5,3,2,7]=>5
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Description
The number of occurrences of the pattern 1432 in a permutation.
References
[1] Numbers of pattern-matching permutations of (1234) for the permutations of 1, 2, ..., n on n = 4, 5, 6, ... elements. OEIS:A158005
[2] Number of permutations in S_n with longest increasing subsequence of length <= 3 (i.e., 1234-avoiding permutations); vexillary permutations (i.e., 2143-avoiding). OEIS:A005802
[3] wikipedia:Enumerations_of_specific_permutation_classes
Code
def statistic(pi):
    return len(pi.pattern_positions([1,4,3,2]))
Created
Oct 20, 2022 at 13:16 by Martin Rubey
Updated
Mar 10, 2023 at 14:31 by Tilman Möller