edit this statistic or download as text // json
Identifier
Values
=>
Cc0005;cc-rep
[1,0,1,0]=>0 [1,1,0,0]=>1 [1,0,1,0,1,0]=>0 [1,0,1,1,0,0]=>1 [1,1,0,0,1,0]=>1 [1,1,0,1,0,0]=>1 [1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,0,1,0]=>1 [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]=>0 [1,1,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,0,0]=>0 [1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0]=>1 [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]=>0 [1,0,1,1,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,0]=>2 [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]=>2 [1,1,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,0]=>0 [1,1,1,0,0,1,0,1,0,0]=>0 [1,1,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0]=>0 [1,1,1,0,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,0]=>0 [1,1,1,1,0,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,0,0]=>0 [1,1,1,1,0,1,0,0,0,0]=>0 [1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,0]=>1 [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]=>0 [1,0,1,0,1,1,0,0,1,0,1,0]=>1 [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]=>0 [1,0,1,0,1,1,1,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,0]=>2 [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]=>2 [1,0,1,1,0,0,1,1,1,0,0,0]=>1 [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]=>2 [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]=>2 [1,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>2 [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]=>1 [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]=>3 [1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,0]=>1 [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]=>1 [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]=>2 [1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,0,0]=>1 [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]=>2 [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]=>2 [1,1,0,1,0,1,1,1,0,0,0,0]=>1 [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]=>3 [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]=>3 [1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,1,0,0,0]=>2 [1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,1,1,1,0,0,1,0,0,0]=>1 [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]=>1 [1,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,0,0,1,0,0,1,0,1,0]=>0 [1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,1,0,0,1,0]=>0 [1,1,1,0,0,1,0,1,0,1,0,0]=>0 [1,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,1,0,0,1,0,0]=>1 [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]=>0 [1,1,1,0,1,0,0,0,1,0,1,0]=>0 [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]=>0 [1,1,1,0,1,0,0,1,0,1,0,0]=>0 [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]=>0 [1,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,1,0,0,0,0]=>1 [1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,1,0,1,1,0,0,1,0,0,0]=>1 [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]=>0 [1,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,1,0,0,1,0]=>0 [1,1,1,1,0,0,0,1,0,1,0,0]=>0 [1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,1,0,0,0]=>0 [1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,0,0,0,1,0]=>0 [1,1,1,1,0,1,0,0,0,1,0,0]=>0 [1,1,1,1,0,1,0,0,1,0,0,0]=>0 [1,1,1,1,0,1,0,1,0,0,0,0]=>0 [1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,1,1,1,1,0,0,1,0,0,0,0]=>0 [1,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [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]=>0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [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]=>0 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2 [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]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [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]=>2 [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]=>2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2 [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]=>1 [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]=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [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]=>1 [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]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1 [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]=>2 [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]=>2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1 [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]=>3 [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]=>3 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1 [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]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1 [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]=>0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>0 [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]=>0 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1 [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]=>0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [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]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2 [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]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1 [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]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1 [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]=>1 [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]=>2 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1 [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]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1 [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]=>2 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1 [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]=>2 [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]=>2 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>1 [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]=>3 [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]=>3 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>2 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1 [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]=>1 [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]=>3 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>3 [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]=>3 [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]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>1 [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]=>1 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>1 [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]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>0 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>0 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>0 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>0 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1 [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]=>0 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>0 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>0 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>0 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>1 [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]=>1 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>1 [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]=>0 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>0 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>0 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>0 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>0 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>0 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1 [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]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>0 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1 [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]=>1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>0 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0 [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]=>0 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>0 [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]=>0 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1 [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]=>0 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1 [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]=>1 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>1 [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]=>1 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>1 [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]=>0 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>0 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>0 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>0 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>0 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>0 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>0 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>0 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>0 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>0 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>0 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>0 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>1 [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]=>0 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>0 [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]=>0 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>0 [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]=>0 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>0 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>0 [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]=>0 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>0 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>0 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>0 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1 [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]=>0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>0 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>0 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>0 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>0 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>0 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>0 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>0 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>0 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>0 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>0 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>0 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [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]=>0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [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]=>0 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2 [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]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [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]=>2 [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]=>2 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2 [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]=>1 [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]=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [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]=>1 [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]=>2 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1 [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]=>2 [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]=>2 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1 [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]=>3 [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]=>3 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1 [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]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1 [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]=>0 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>0 [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]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1 [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]=>0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [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]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2 [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]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>3 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1 [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]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1 [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]=>1 [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]=>2 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1 [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]=>1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1 [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]=>2 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1 [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]=>2 [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]=>2 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>1 [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]=>3 [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]=>3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1 [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]=>1 [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]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>3 [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]=>3 [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]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>1 [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]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>1 [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]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1 [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]=>0 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>1 [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]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>1 [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]=>0 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1 [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]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1 [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]=>1 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>0 [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]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1 [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]=>0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1 [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]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>1 [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]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>1 [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]=>0 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>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 number of rises of length 2 of a Dyck path.
This is also the number of $(1,1)$ steps of the associated Łukasiewicz path, see [1].
A related statistic is the number of double rises in a Dyck path, St000024The number of double up and double down steps of a Dyck path..
References
[1] Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k ascents of length 2. OEIS:A102402
Code
def statistic(D):
    return sum( 1 for i in D.rise_composition() if i == 2 )
Created
Nov 30, 2016 at 20:04 by Christian Stump
Updated
Nov 30, 2016 at 20:35 by Martin Rubey