edit this statistic or download as text // json
Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>1 [1,0,1,0]=>1 [1,1,0,0]=>2 [1,0,1,0,1,0]=>1 [1,0,1,1,0,0]=>2 [1,1,0,0,1,0]=>2 [1,1,0,1,0,0]=>1 [1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,1,0,0,0,0]=>2 [1,1,1,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,0]=>3 [1,1,1,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,1,0,0,0]=>1 [1,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,1,0,0,0,0]=>1 [1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>5 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>0 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>1 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>3 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>5 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>5 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>2 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>2 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>4 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>0 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>2 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>2 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>2 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>5 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>3 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>3 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>3 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>2 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>3 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>2 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>2 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>2 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>4 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>3 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>3 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>2 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>5 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>4 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>5 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>2
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 difference of lower and upper interactions.
An upper interaction in a Dyck path is the occurrence of a factor $0^k 1^k$ with $k \geq 1$ (see St000331The number of upper interactions of a Dyck path.), and a lower interaction is the occurrence of a factor $1^k 0^k$ with $k \geq 1$. In both cases, $1$ denotes an up-step $0$ denotes a a down-step.
References
[1] http://www.emis.de/journals/SLC/wpapers/s54leborgne.pdf
Code
def upper_interactions(x):
    interactions = 0
    i = 0
    count = 0
    while i < len(x):
        if x[i] == 0:
            if x[i-1] == 1:
                count = 0
            count = count + 1
        if x[i] == 1 and count > 0:
            interactions = interactions + 1
            count = count - 1
        i  = i + 1
    return interactions

def lower_interactions(x):
    interactions = 0
    i = 0
    count = 0
    while i < len(x):
        if x[i] == 1:
            if x[i-1] == 0:
                count = 0
            count = count + 1
        if x[i] == 0 and count > 0:
            interactions = interactions + 1
            count = count - 1
        i  = i + 1
    return interactions

def statistic(D):
    return lower_interactions(D) - upper_interactions(D)
Created
Dec 18, 2015 at 06:24 by Mike Gaudette
Updated
Mar 12, 2026 at 18:07 by Nupur Jain