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]=>0 [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]=>0 [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]=>0 [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]=>0 [1,5,2,3,4]=>0 [1,5,2,4,3]=>0 [1,5,3,2,4]=>1 [1,5,3,4,2]=>1 [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]=>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]=>1 [2,4,3,5,1]=>1 [2,4,5,1,3]=>0 [2,4,5,3,1]=>0 [2,5,1,3,4]=>0 [2,5,1,4,3]=>0 [2,5,3,1,4]=>1 [2,5,3,4,1]=>1 [2,5,4,1,3]=>0 [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]=>0 [3,1,5,2,4]=>0 [3,1,5,4,2]=>0 [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]=>1 [4,1,3,5,2]=>1 [4,1,5,2,3]=>0 [4,1,5,3,2]=>0 [4,2,1,3,5]=>0 [4,2,1,5,3]=>0 [4,2,3,1,5]=>1 [4,2,3,5,1]=>1 [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]=>1 [5,1,3,4,2]=>1 [5,1,4,2,3]=>0 [5,1,4,3,2]=>0 [5,2,1,3,4]=>0 [5,2,1,4,3]=>0 [5,2,3,1,4]=>1 [5,2,3,4,1]=>1 [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]=>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]=>0 [1,2,4,6,3,5]=>0 [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]=>1 [1,2,5,4,6,3]=>1 [1,2,5,6,3,4]=>0 [1,2,5,6,4,3]=>0 [1,2,6,3,4,5]=>0 [1,2,6,3,5,4]=>0 [1,2,6,4,3,5]=>1 [1,2,6,4,5,3]=>1 [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]=>0 [1,3,4,5,6,2]=>0 [1,3,4,6,2,5]=>0 [1,3,4,6,5,2]=>0 [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]=>0 [1,3,6,2,4,5]=>0 [1,3,6,2,5,4]=>0 [1,3,6,4,2,5]=>1 [1,3,6,4,5,2]=>1 [1,3,6,5,2,4]=>0 [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]=>0 [1,4,2,6,3,5]=>0 [1,4,2,6,5,3]=>0 [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]=>1 [1,4,5,2,3,6]=>0 [1,4,5,2,6,3]=>0 [1,4,5,3,2,6]=>1 [1,4,5,3,6,2]=>1 [1,4,5,6,2,3]=>0 [1,4,5,6,3,2]=>0 [1,4,6,2,3,5]=>0 [1,4,6,2,5,3]=>0 [1,4,6,3,2,5]=>1 [1,4,6,3,5,2]=>1 [1,4,6,5,2,3]=>0 [1,4,6,5,3,2]=>0 [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]=>0 [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]=>1 [1,5,4,2,3,6]=>1 [1,5,4,2,6,3]=>1 [1,5,4,3,2,6]=>2 [1,5,4,3,6,2]=>2 [1,5,4,6,2,3]=>1 [1,5,4,6,3,2]=>1 [1,5,6,2,3,4]=>0 [1,5,6,2,4,3]=>0 [1,5,6,3,2,4]=>1 [1,5,6,3,4,2]=>1 [1,5,6,4,2,3]=>0 [1,5,6,4,3,2]=>0 [1,6,2,3,4,5]=>0 [1,6,2,3,5,4]=>0 [1,6,2,4,3,5]=>1 [1,6,2,4,5,3]=>1 [1,6,2,5,3,4]=>0 [1,6,2,5,4,3]=>0 [1,6,3,2,4,5]=>1 [1,6,3,2,5,4]=>1 [1,6,3,4,2,5]=>2 [1,6,3,4,5,2]=>2 [1,6,3,5,2,4]=>1 [1,6,3,5,4,2]=>1 [1,6,4,2,3,5]=>1 [1,6,4,2,5,3]=>1 [1,6,4,3,2,5]=>2 [1,6,4,3,5,2]=>2 [1,6,4,5,2,3]=>1 [1,6,4,5,3,2]=>1 [1,6,5,2,3,4]=>0 [1,6,5,2,4,3]=>0 [1,6,5,3,2,4]=>1 [1,6,5,3,4,2]=>1 [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]=>0 [2,1,4,6,3,5]=>0 [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]=>1 [2,1,5,4,6,3]=>1 [2,1,5,6,3,4]=>0 [2,1,5,6,4,3]=>0 [2,1,6,3,4,5]=>0 [2,1,6,3,5,4]=>0 [2,1,6,4,3,5]=>1 [2,1,6,4,5,3]=>1 [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]=>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]=>1 [2,3,5,4,6,1]=>1 [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]=>0 [2,3,6,4,1,5]=>1 [2,3,6,4,5,1]=>1 [2,3,6,5,1,4]=>0 [2,3,6,5,4,1]=>0 [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]=>0 [2,4,3,1,5,6]=>1 [2,4,3,1,6,5]=>1 [2,4,3,5,1,6]=>1 [2,4,3,5,6,1]=>1 [2,4,3,6,1,5]=>1 [2,4,3,6,5,1]=>1 [2,4,5,1,3,6]=>0 [2,4,5,1,6,3]=>0 [2,4,5,3,1,6]=>1 [2,4,5,3,6,1]=>1 [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]=>0 [2,4,6,3,1,5]=>1 [2,4,6,3,5,1]=>1 [2,4,6,5,1,3]=>0 [2,4,6,5,3,1]=>0 [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]=>0 [2,5,3,1,4,6]=>1 [2,5,3,1,6,4]=>1 [2,5,3,4,1,6]=>2 [2,5,3,4,6,1]=>2 [2,5,3,6,1,4]=>1 [2,5,3,6,4,1]=>1 [2,5,4,1,3,6]=>1 [2,5,4,1,6,3]=>1 [2,5,4,3,1,6]=>2 [2,5,4,3,6,1]=>2 [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]=>0 [2,5,6,3,1,4]=>1 [2,5,6,3,4,1]=>1 [2,5,6,4,1,3]=>0 [2,5,6,4,3,1]=>0 [2,6,1,3,4,5]=>0 [2,6,1,3,5,4]=>0 [2,6,1,4,3,5]=>1 [2,6,1,4,5,3]=>1 [2,6,1,5,3,4]=>0 [2,6,1,5,4,3]=>0 [2,6,3,1,4,5]=>1 [2,6,3,1,5,4]=>1 [2,6,3,4,1,5]=>2 [2,6,3,4,5,1]=>2 [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]=>1 [2,6,4,3,1,5]=>2 [2,6,4,3,5,1]=>2 [2,6,4,5,1,3]=>1 [2,6,4,5,3,1]=>1 [2,6,5,1,3,4]=>0 [2,6,5,1,4,3]=>0 [2,6,5,3,1,4]=>1 [2,6,5,3,4,1]=>1 [2,6,5,4,1,3]=>0 [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]=>0 [3,1,4,5,6,2]=>0 [3,1,4,6,2,5]=>0 [3,1,4,6,5,2]=>0 [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]=>0 [3,1,6,2,4,5]=>0 [3,1,6,2,5,4]=>0 [3,1,6,4,2,5]=>1 [3,1,6,4,5,2]=>1 [3,1,6,5,2,4]=>0 [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]=>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]=>1 [3,2,5,4,6,1]=>1 [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]=>0 [3,2,6,4,1,5]=>1 [3,2,6,4,5,1]=>1 [3,2,6,5,1,4]=>0 [3,2,6,5,4,1]=>0 [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]=>0 [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]=>1 [3,5,1,4,6,2]=>1 [3,5,1,6,2,4]=>0 [3,5,1,6,4,2]=>0 [3,5,2,1,4,6]=>0 [3,5,2,1,6,4]=>0 [3,5,2,4,1,6]=>1 [3,5,2,4,6,1]=>1 [3,5,2,6,1,4]=>0 [3,5,2,6,4,1]=>0 [3,5,4,1,2,6]=>1 [3,5,4,1,6,2]=>1 [3,5,4,2,1,6]=>1 [3,5,4,2,6,1]=>1 [3,5,4,6,1,2]=>1 [3,5,4,6,2,1]=>1 [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]=>0 [3,6,1,4,2,5]=>1 [3,6,1,4,5,2]=>1 [3,6,1,5,2,4]=>0 [3,6,1,5,4,2]=>0 [3,6,2,1,4,5]=>0 [3,6,2,1,5,4]=>0 [3,6,2,4,1,5]=>1 [3,6,2,4,5,1]=>1 [3,6,2,5,1,4]=>0 [3,6,2,5,4,1]=>0 [3,6,4,1,2,5]=>1 [3,6,4,1,5,2]=>1 [3,6,4,2,1,5]=>1 [3,6,4,2,5,1]=>1 [3,6,4,5,1,2]=>1 [3,6,4,5,2,1]=>1 [3,6,5,1,2,4]=>0 [3,6,5,1,4,2]=>0 [3,6,5,2,1,4]=>0 [3,6,5,2,4,1]=>0 [3,6,5,4,1,2]=>0 [3,6,5,4,2,1]=>0 [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]=>0 [4,1,3,2,5,6]=>1 [4,1,3,2,6,5]=>1 [4,1,3,5,2,6]=>1 [4,1,3,5,6,2]=>1 [4,1,3,6,2,5]=>1 [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]=>0 [4,1,6,2,3,5]=>0 [4,1,6,2,5,3]=>0 [4,1,6,3,2,5]=>1 [4,1,6,3,5,2]=>1 [4,1,6,5,2,3]=>0 [4,1,6,5,3,2]=>0 [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]=>0 [4,2,3,1,5,6]=>1 [4,2,3,1,6,5]=>1 [4,2,3,5,1,6]=>1 [4,2,3,5,6,1]=>1 [4,2,3,6,1,5]=>1 [4,2,3,6,5,1]=>1 [4,2,5,1,3,6]=>0 [4,2,5,1,6,3]=>0 [4,2,5,3,1,6]=>1 [4,2,5,3,6,1]=>1 [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]=>0 [4,2,6,3,1,5]=>1 [4,2,6,3,5,1]=>1 [4,2,6,5,1,3]=>0 [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]=>0 [4,3,1,5,6,2]=>0 [4,3,1,6,2,5]=>0 [4,3,1,6,5,2]=>0 [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]=>1 [4,5,1,3,6,2]=>1 [4,5,1,6,2,3]=>0 [4,5,1,6,3,2]=>0 [4,5,2,1,3,6]=>0 [4,5,2,1,6,3]=>0 [4,5,2,3,1,6]=>1 [4,5,2,3,6,1]=>1 [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]=>1 [4,6,1,3,5,2]=>1 [4,6,1,5,2,3]=>0 [4,6,1,5,3,2]=>0 [4,6,2,1,3,5]=>0 [4,6,2,1,5,3]=>0 [4,6,2,3,1,5]=>1 [4,6,2,3,5,1]=>1 [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]=>1 [5,1,2,4,6,3]=>1 [5,1,2,6,3,4]=>0 [5,1,2,6,4,3]=>0 [5,1,3,2,4,6]=>1 [5,1,3,2,6,4]=>1 [5,1,3,4,2,6]=>2 [5,1,3,4,6,2]=>2 [5,1,3,6,2,4]=>1 [5,1,3,6,4,2]=>1 [5,1,4,2,3,6]=>1 [5,1,4,2,6,3]=>1 [5,1,4,3,2,6]=>2 [5,1,4,3,6,2]=>2 [5,1,4,6,2,3]=>1 [5,1,4,6,3,2]=>1 [5,1,6,2,3,4]=>0 [5,1,6,2,4,3]=>0 [5,1,6,3,2,4]=>1 [5,1,6,3,4,2]=>1 [5,1,6,4,2,3]=>0 [5,1,6,4,3,2]=>0 [5,2,1,3,4,6]=>0 [5,2,1,3,6,4]=>0 [5,2,1,4,3,6]=>1 [5,2,1,4,6,3]=>1 [5,2,1,6,3,4]=>0 [5,2,1,6,4,3]=>0 [5,2,3,1,4,6]=>1 [5,2,3,1,6,4]=>1 [5,2,3,4,1,6]=>2 [5,2,3,4,6,1]=>2 [5,2,3,6,1,4]=>1 [5,2,3,6,4,1]=>1 [5,2,4,1,3,6]=>1 [5,2,4,1,6,3]=>1 [5,2,4,3,1,6]=>2 [5,2,4,3,6,1]=>2 [5,2,4,6,1,3]=>1 [5,2,4,6,3,1]=>1 [5,2,6,1,3,4]=>0 [5,2,6,1,4,3]=>0 [5,2,6,3,1,4]=>1 [5,2,6,3,4,1]=>1 [5,2,6,4,1,3]=>0 [5,2,6,4,3,1]=>0 [5,3,1,2,4,6]=>0 [5,3,1,2,6,4]=>0 [5,3,1,4,2,6]=>1 [5,3,1,4,6,2]=>1 [5,3,1,6,2,4]=>0 [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]=>1 [5,3,2,4,6,1]=>1 [5,3,2,6,1,4]=>0 [5,3,2,6,4,1]=>0 [5,3,4,1,2,6]=>1 [5,3,4,1,6,2]=>1 [5,3,4,2,1,6]=>1 [5,3,4,2,6,1]=>1 [5,3,4,6,1,2]=>1 [5,3,4,6,2,1]=>1 [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]=>1 [5,4,1,3,6,2]=>1 [5,4,1,6,2,3]=>0 [5,4,1,6,3,2]=>0 [5,4,2,1,3,6]=>0 [5,4,2,1,6,3]=>0 [5,4,2,3,1,6]=>1 [5,4,2,3,6,1]=>1 [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]=>1 [5,6,1,3,4,2]=>1 [5,6,1,4,2,3]=>0 [5,6,1,4,3,2]=>0 [5,6,2,1,3,4]=>0 [5,6,2,1,4,3]=>0 [5,6,2,3,1,4]=>1 [5,6,2,3,4,1]=>1 [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]=>1 [6,1,2,4,5,3]=>1 [6,1,2,5,3,4]=>0 [6,1,2,5,4,3]=>0 [6,1,3,2,4,5]=>1 [6,1,3,2,5,4]=>1 [6,1,3,4,2,5]=>2 [6,1,3,4,5,2]=>2 [6,1,3,5,2,4]=>1 [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]=>2 [6,1,4,3,5,2]=>2 [6,1,4,5,2,3]=>1 [6,1,4,5,3,2]=>1 [6,1,5,2,3,4]=>0 [6,1,5,2,4,3]=>0 [6,1,5,3,2,4]=>1 [6,1,5,3,4,2]=>1 [6,1,5,4,2,3]=>0 [6,1,5,4,3,2]=>0 [6,2,1,3,4,5]=>0 [6,2,1,3,5,4]=>0 [6,2,1,4,3,5]=>1 [6,2,1,4,5,3]=>1 [6,2,1,5,3,4]=>0 [6,2,1,5,4,3]=>0 [6,2,3,1,4,5]=>1 [6,2,3,1,5,4]=>1 [6,2,3,4,1,5]=>2 [6,2,3,4,5,1]=>2 [6,2,3,5,1,4]=>1 [6,2,3,5,4,1]=>1 [6,2,4,1,3,5]=>1 [6,2,4,1,5,3]=>1 [6,2,4,3,1,5]=>2 [6,2,4,3,5,1]=>2 [6,2,4,5,1,3]=>1 [6,2,4,5,3,1]=>1 [6,2,5,1,3,4]=>0 [6,2,5,1,4,3]=>0 [6,2,5,3,1,4]=>1 [6,2,5,3,4,1]=>1 [6,2,5,4,1,3]=>0 [6,2,5,4,3,1]=>0 [6,3,1,2,4,5]=>0 [6,3,1,2,5,4]=>0 [6,3,1,4,2,5]=>1 [6,3,1,4,5,2]=>1 [6,3,1,5,2,4]=>0 [6,3,1,5,4,2]=>0 [6,3,2,1,4,5]=>0 [6,3,2,1,5,4]=>0 [6,3,2,4,1,5]=>1 [6,3,2,4,5,1]=>1 [6,3,2,5,1,4]=>0 [6,3,2,5,4,1]=>0 [6,3,4,1,2,5]=>1 [6,3,4,1,5,2]=>1 [6,3,4,2,1,5]=>1 [6,3,4,2,5,1]=>1 [6,3,4,5,1,2]=>1 [6,3,4,5,2,1]=>1 [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]=>1 [6,4,1,3,5,2]=>1 [6,4,1,5,2,3]=>0 [6,4,1,5,3,2]=>0 [6,4,2,1,3,5]=>0 [6,4,2,1,5,3]=>0 [6,4,2,3,1,5]=>1 [6,4,2,3,5,1]=>1 [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]=>1 [6,5,1,3,4,2]=>1 [6,5,1,4,2,3]=>0 [6,5,1,4,3,2]=>0 [6,5,2,1,3,4]=>0 [6,5,2,1,4,3]=>0 [6,5,2,3,1,4]=>1 [6,5,2,3,4,1]=>1 [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]=>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]=>0 [1,2,3,5,7,4,6]=>0 [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]=>1 [1,2,3,6,5,7,4]=>1 [1,2,3,6,7,4,5]=>0 [1,2,3,6,7,5,4]=>0 [1,2,3,7,4,5,6]=>0 [1,2,3,7,4,6,5]=>0 [1,2,3,7,5,4,6]=>1 [1,2,3,7,5,6,4]=>1 [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]=>0 [1,2,4,5,6,7,3]=>0 [1,2,4,5,7,3,6]=>0 [1,2,4,5,7,6,3]=>0 [1,2,4,6,3,5,7]=>0 [1,2,4,6,3,7,5]=>0 [1,2,4,6,5,3,7]=>1 [1,2,4,6,5,7,3]=>1 [1,2,4,6,7,3,5]=>0 [1,2,4,6,7,5,3]=>0 [1,2,4,7,3,5,6]=>0 [1,2,4,7,3,6,5]=>0 [1,2,4,7,5,3,6]=>1 [1,2,4,7,5,6,3]=>1 [1,2,4,7,6,3,5]=>0 [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]=>0 [1,2,5,3,7,4,6]=>0 [1,2,5,3,7,6,4]=>0 [1,2,5,4,3,6,7]=>1 [1,2,5,4,3,7,6]=>1 [1,2,5,4,6,3,7]=>1 [1,2,5,4,6,7,3]=>1 [1,2,5,4,7,3,6]=>1 [1,2,5,4,7,6,3]=>1 [1,2,5,6,3,4,7]=>0 [1,2,5,6,3,7,4]=>0 [1,2,5,6,4,3,7]=>1 [1,2,5,6,4,7,3]=>1 [1,2,5,6,7,3,4]=>0 [1,2,5,6,7,4,3]=>0 [1,2,5,7,3,4,6]=>0 [1,2,5,7,3,6,4]=>0 [1,2,5,7,4,3,6]=>1 [1,2,5,7,4,6,3]=>1 [1,2,5,7,6,3,4]=>0 [1,2,5,7,6,4,3]=>0 [1,2,6,3,4,5,7]=>0 [1,2,6,3,4,7,5]=>0 [1,2,6,3,5,4,7]=>1 [1,2,6,3,5,7,4]=>1 [1,2,6,3,7,4,5]=>0 [1,2,6,3,7,5,4]=>0 [1,2,6,4,3,5,7]=>1 [1,2,6,4,3,7,5]=>1 [1,2,6,4,5,3,7]=>2 [1,2,6,4,5,7,3]=>2 [1,2,6,4,7,3,5]=>1 [1,2,6,4,7,5,3]=>1 [1,2,6,5,3,4,7]=>1 [1,2,6,5,3,7,4]=>1 [1,2,6,5,4,3,7]=>2 [1,2,6,5,4,7,3]=>2 [1,2,6,5,7,3,4]=>1 [1,2,6,5,7,4,3]=>1 [1,2,6,7,3,4,5]=>0 [1,2,6,7,3,5,4]=>0 [1,2,6,7,4,3,5]=>1 [1,2,6,7,4,5,3]=>1 [1,2,6,7,5,3,4]=>0 [1,2,6,7,5,4,3]=>0 [1,2,7,3,4,5,6]=>0 [1,2,7,3,4,6,5]=>0 [1,2,7,3,5,4,6]=>1 [1,2,7,3,5,6,4]=>1 [1,2,7,3,6,4,5]=>0 [1,2,7,3,6,5,4]=>0 [1,2,7,4,3,5,6]=>1 [1,2,7,4,3,6,5]=>1 [1,2,7,4,5,3,6]=>2 [1,2,7,4,5,6,3]=>2 [1,2,7,4,6,3,5]=>1 [1,2,7,4,6,5,3]=>1 [1,2,7,5,3,4,6]=>1 [1,2,7,5,3,6,4]=>1 [1,2,7,5,4,3,6]=>2 [1,2,7,5,4,6,3]=>2 [1,2,7,5,6,3,4]=>1 [1,2,7,5,6,4,3]=>1 [1,2,7,6,3,4,5]=>0 [1,2,7,6,3,5,4]=>0 [1,2,7,6,4,3,5]=>1 [1,2,7,6,4,5,3]=>1 [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]=>0 [1,3,2,5,7,4,6]=>0 [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]=>1 [1,3,2,6,5,7,4]=>1 [1,3,2,6,7,4,5]=>0 [1,3,2,6,7,5,4]=>0 [1,3,2,7,4,5,6]=>0 [1,3,2,7,4,6,5]=>0 [1,3,2,7,5,4,6]=>1 [1,3,2,7,5,6,4]=>1 [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]=>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]=>0 [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]=>0 [1,3,4,7,2,5,6]=>0 [1,3,4,7,2,6,5]=>0 [1,3,4,7,5,2,6]=>1 [1,3,4,7,5,6,2]=>1 [1,3,4,7,6,2,5]=>0 [1,3,4,7,6,5,2]=>0 [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]=>0 [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]=>1 [1,3,5,6,2,4,7]=>0 [1,3,5,6,2,7,4]=>0 [1,3,5,6,4,2,7]=>1 [1,3,5,6,4,7,2]=>1 [1,3,5,6,7,2,4]=>0 [1,3,5,6,7,4,2]=>0 [1,3,5,7,2,4,6]=>0 [1,3,5,7,2,6,4]=>0 [1,3,5,7,4,2,6]=>1 [1,3,5,7,4,6,2]=>1 [1,3,5,7,6,2,4]=>0 [1,3,5,7,6,4,2]=>0 [1,3,6,2,4,5,7]=>0 [1,3,6,2,4,7,5]=>0 [1,3,6,2,5,4,7]=>1 [1,3,6,2,5,7,4]=>1 [1,3,6,2,7,4,5]=>0 [1,3,6,2,7,5,4]=>0 [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]=>1 [1,3,6,5,2,4,7]=>1 [1,3,6,5,2,7,4]=>1 [1,3,6,5,4,2,7]=>2 [1,3,6,5,4,7,2]=>2 [1,3,6,5,7,2,4]=>1 [1,3,6,5,7,4,2]=>1 [1,3,6,7,2,4,5]=>0 [1,3,6,7,2,5,4]=>0 [1,3,6,7,4,2,5]=>1 [1,3,6,7,4,5,2]=>1 [1,3,6,7,5,2,4]=>0 [1,3,6,7,5,4,2]=>0 [1,3,7,2,4,5,6]=>0 [1,3,7,2,4,6,5]=>0 [1,3,7,2,5,4,6]=>1 [1,3,7,2,5,6,4]=>1 [1,3,7,2,6,4,5]=>0 [1,3,7,2,6,5,4]=>0 [1,3,7,4,2,5,6]=>1 [1,3,7,4,2,6,5]=>1 [1,3,7,4,5,2,6]=>2 [1,3,7,4,5,6,2]=>2 [1,3,7,4,6,2,5]=>1 [1,3,7,4,6,5,2]=>1 [1,3,7,5,2,4,6]=>1 [1,3,7,5,2,6,4]=>1 [1,3,7,5,4,2,6]=>2 [1,3,7,5,4,6,2]=>2 [1,3,7,5,6,2,4]=>1 [1,3,7,5,6,4,2]=>1 [1,3,7,6,2,4,5]=>0 [1,3,7,6,2,5,4]=>0 [1,3,7,6,4,2,5]=>1 [1,3,7,6,4,5,2]=>1 [1,3,7,6,5,2,4]=>0 [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]=>0 [1,4,2,5,6,7,3]=>0 [1,4,2,5,7,3,6]=>0 [1,4,2,5,7,6,3]=>0 [1,4,2,6,3,5,7]=>0 [1,4,2,6,3,7,5]=>0 [1,4,2,6,5,3,7]=>1 [1,4,2,6,5,7,3]=>1 [1,4,2,6,7,3,5]=>0 [1,4,2,6,7,5,3]=>0 [1,4,2,7,3,5,6]=>0 [1,4,2,7,3,6,5]=>0 [1,4,2,7,5,3,6]=>1 [1,4,2,7,5,6,3]=>1 [1,4,2,7,6,3,5]=>0 [1,4,2,7,6,5,3]=>0 [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]=>1 [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]=>1 [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]=>1 [1,4,3,7,2,5,6]=>1 [1,4,3,7,2,6,5]=>1 [1,4,3,7,5,2,6]=>2 [1,4,3,7,5,6,2]=>2 [1,4,3,7,6,2,5]=>1 [1,4,3,7,6,5,2]=>1 [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]=>0 [1,4,5,3,2,6,7]=>1 [1,4,5,3,2,7,6]=>1 [1,4,5,3,6,2,7]=>1 [1,4,5,3,6,7,2]=>1 [1,4,5,3,7,2,6]=>1 [1,4,5,3,7,6,2]=>1 [1,4,5,6,2,3,7]=>0 [1,4,5,6,2,7,3]=>0 [1,4,5,6,3,2,7]=>1 [1,4,5,6,3,7,2]=>1 [1,4,5,6,7,2,3]=>0 [1,4,5,6,7,3,2]=>0 [1,4,5,7,2,3,6]=>0 [1,4,5,7,2,6,3]=>0 [1,4,5,7,3,2,6]=>1 [1,4,5,7,3,6,2]=>1 [1,4,5,7,6,2,3]=>0 [1,4,5,7,6,3,2]=>0 [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]=>0 [1,4,6,3,2,5,7]=>1 [1,4,6,3,2,7,5]=>1 [1,4,6,3,5,2,7]=>2 [1,4,6,3,5,7,2]=>2 [1,4,6,3,7,2,5]=>1 [1,4,6,3,7,5,2]=>1 [1,4,6,5,2,3,7]=>1 [1,4,6,5,2,7,3]=>1 [1,4,6,5,3,2,7]=>2
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Description
The number of non-records in a permutation.
A record in a permutation $\pi$ is a value $\pi(j)$ which is a left-to-right minimum, a left-to-right maximum, a right-to-left minimum, or a right-to-left maximum.
For example, in the permutation $\pi = [1, 4, 3, 2, 5]$, the values $1$ is a left-to-right minimum, $1, 4, 5$ are left-to-right maxima, $5, 2, 1$ are right-to-left minima and $5$ is a right-to-left maximum. Hence, $3$ is the unique non-record.
Permutations without non-records are called square [1].
References
[1] Number of square permutations of length n. OEIS:A128652
Code
def statistic(pi):
    non_records = len(pi)
    for j in range(len(pi)):
        if (all(pi[j] > pi[i] for i in range(j)) or
            all(pi[j] > pi[i] for i in range(j+1, len(pi))) or
            all(pi[j] < pi[i] for i in range(j)) or
            all(pi[j] < pi[i] for i in range(j+1, len(pi)))):
            non_records -= 1
    return non_records

Created
May 05, 2021 at 11:32 by Martin Rubey
Updated
May 05, 2021 at 11:32 by Martin Rubey