Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>0 [1,0,1,0]=>0 [1,1,0,0]=>0 [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]=>0 [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]=>2 [1,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0]=>1 [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]=>0 [1,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,0,0]=>1 [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]=>2 [1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,0]=>2 [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]=>2 [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]=>1 [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]=>3 [1,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,0]=>2 [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]=>0 [1,1,0,1,0,1,1,0,0,0]=>1 [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]=>1 [1,1,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,0]=>1 [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]=>0 [1,1,1,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,0]=>1 [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]=>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]=>1 [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]=>3 [1,0,1,0,1,1,0,1,0,0,1,0]=>2 [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]=>2 [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]=>1 [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]=>4 [1,0,1,1,0,0,1,1,0,1,0,0]=>3 [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]=>2 [1,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,1,0,1,1,0,0,1,0,0]=>3 [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]=>2 [1,0,1,1,1,0,0,0,1,0,1,0]=>2 [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]=>3 [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]=>3 [1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0]=>2 [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]=>2 [1,0,1,1,1,1,0,0,0,1,0,0]=>2 [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]=>1 [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]=>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]=>2 [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]=>4 [1,1,0,0,1,1,0,1,0,0,1,0]=>3 [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]=>3 [1,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,0]=>2 [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]=>3 [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]=>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]=>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]=>0 [1,1,0,1,0,1,0,1,1,0,0,0]=>1 [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]=>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]=>3 [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]=>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]=>2 [1,1,0,1,1,1,0,0,0,1,0,0]=>2 [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]=>1 [1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,0,1,1,0,0]=>2 [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]=>2 [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]=>3 [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]=>1 [1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,1,0,0,1,1,1,0,0,0,0]=>2 [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]=>2 [1,1,1,0,1,0,0,1,0,0,1,0]=>2 [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]=>2 [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]=>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]=>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]=>1 [1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,0]=>2 [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]=>1 [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]=>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]=>1 [1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,0,1,0,0,0,0]=>1 [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]=>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]=>1 [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]=>3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2 [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]=>2 [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]=>1 [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]=>4 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>3 [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]=>2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>3 [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]=>2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [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]=>3 [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]=>3 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2 [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]=>2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [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]=>1 [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]=>4 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>3 [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]=>2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>3 [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]=>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]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3 [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]=>3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3 [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]=>4 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3 [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]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>2 [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]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [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]=>2 [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]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>3 [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]=>3 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2 [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]=>1 [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]=>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]=>2 [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]=>4 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3 [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]=>3 [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]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>3 [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]=>4 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>4 [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]=>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]=>4 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>3 [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]=>3 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [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]=>3 [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]=>2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>3 [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]=>3 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [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]=>3 [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]=>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]=>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]=>0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1 [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]=>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]=>3 [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]=>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]=>2 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>2 [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]=>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]=>4 [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]=>3 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>3 [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]=>4 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>4 [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]=>3 [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]=>3 [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]=>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]=>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]=>2 [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]=>2 [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]=>2 [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]=>3 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>3 [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]=>3 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>2 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>2 [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]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>2 [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]=>4 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>3 [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]=>3 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>2 [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]=>4 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>3 [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]=>3 [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]=>1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>2 [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]=>2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>2 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>3 [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]=>3 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>2 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2 [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]=>3 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>2 [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]=>3 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2 [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]=>2 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>2 [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]=>2 [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]=>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]=>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]=>1 [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]=>3 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>3 [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]=>3 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>3 [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]=>3 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>2 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>2 [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]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>3 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [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]=>2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>1 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>2 [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]=>2 [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]=>3 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>3 [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]=>3 [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]=>1 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>2 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>3 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>3 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>2 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>2 [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]=>2 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2 [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]=>2 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2 [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]=>2 [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]=>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]=>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]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>2 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>2 [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]=>1 [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]=>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]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1 [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]=>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]=>1 [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]=>3 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2 [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]=>2 [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]=>1 [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]=>4 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>3 [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]=>2 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>3 [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]=>2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [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]=>3 [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]=>3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2 [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]=>2 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [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]=>1 [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]=>4 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>3 [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]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>3 [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]=>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]=>3 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3 [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]=>3 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3 [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]=>4 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3 [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]=>2 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>2 [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]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [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]=>2 [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]=>3 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>3 [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]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>2 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2 [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]=>1 [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]=>4 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>4 [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]=>4 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>4 [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]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>3 [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]=>4 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>3 [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]=>2 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>3 [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]=>2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>3 [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]=>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]=>3 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>3 [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]=>4 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4 [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]=>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]=>4 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>4 [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]=>4 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>3 [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]=>3 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [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]=>3 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3 [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]=>4 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>2 [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]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>4 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>3 [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]=>3 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [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]=>3 [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]=>4 [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]=>2 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>3 [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]=>3 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [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]=>3 [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]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>3 [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]=>3 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>3 [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]=>4 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>4 [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]=>3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>3 [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]=>4 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>4 [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]=>3 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>4 [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]=>4 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>5 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>5 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2 [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]=>3 [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]=>2 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3 [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]=>3 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2
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Description
The number of inner corners of the parallelogram polyomino associated with the Dyck path.
References
[1] Delest, M., Dubernard, J. P., Dutour, I. Parallelogram polyominoes and corners MathSciNet:1395411
Code
def statistic(D):
    P = ParallelogramPolyomino.from_dyck_word(D) 
    return len(set(P.upper_heights()))+len(set(P.lower_heights()))-2
Created
Nov 06, 2017 at 20:55 by Martin Rubey
Updated
Nov 06, 2017 at 20:55 by Martin Rubey