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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]=>1 [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]=>1 [1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0]=>1 [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]=>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]=>1 [1,1,1,1,0,0,0,0]=>2 [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]=>1 [1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,0]=>1 [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]=>1 [1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,0]=>1 [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]=>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]=>1 [1,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,0]=>1 [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]=>2 [1,1,1,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,0,0,0,0]=>2 [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]=>1 [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]=>1 [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]=>1 [1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,0]=>1 [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]=>2 [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]=>1 [1,0,1,1,0,0,1,1,0,0,1,0]=>1 [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]=>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]=>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]=>1 [1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0]=>1 [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]=>2 [1,0,1,1,1,0,0,0,1,0,1,0]=>1 [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]=>1 [1,0,1,1,1,0,0,1,0,1,0,0]=>1 [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]=>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]=>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]=>2 [1,0,1,1,1,1,1,0,0,0,0,0]=>2 [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]=>1 [1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0]=>1 [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]=>1 [1,1,0,0,1,1,0,0,1,1,0,0]=>1 [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]=>1 [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]=>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]=>1 [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]=>1 [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]=>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]=>1 [1,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,1,1,0,0,1,0,0]=>1 [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]=>2 [1,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,1,1,0,0,0]=>1 [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]=>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]=>2 [1,1,0,1,1,1,1,0,0,0,0,0]=>2 [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]=>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]=>1 [1,1,1,0,0,1,0,0,1,0,1,0]=>1 [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]=>1 [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]=>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]=>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]=>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]=>2 [1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,1,0,0,0,0,1,0,1,0]=>2 [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]=>2 [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]=>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]=>2 [1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,0,1,0,0,0,0]=>2 [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]=>2 [1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,0]=>2 [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]=>2 [1,1,1,1,1,1,0,0,0,0,0,0]=>3 [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]=>1 [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]=>1 [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]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [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]=>2 [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]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>1 [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]=>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]=>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]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1 [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]=>2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [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]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [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]=>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]=>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]=>2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>2 [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]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1 [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]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [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]=>1 [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]=>2 [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]=>1 [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]=>1 [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]=>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]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1 [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]=>2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1 [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]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2 [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]=>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]=>1 [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]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1 [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]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1 [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]=>2 [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]=>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]=>2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [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]=>2 [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]=>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]=>2 [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]=>2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [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]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [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]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [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]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1 [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]=>1 [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]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1 [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]=>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]=>1 [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]=>1 [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]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [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]=>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]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1 [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]=>1 [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]=>1 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>1 [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]=>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]=>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]=>1 [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]=>1 [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]=>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]=>1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1 [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]=>2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1 [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]=>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]=>2 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1 [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]=>1 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>1 [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]=>2 [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]=>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]=>2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>2 [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]=>2 [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]=>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]=>2 [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]=>2 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>3 [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]=>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]=>1 [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]=>1 [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]=>1 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1 [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]=>2 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1 [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]=>1 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>1 [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]=>1 [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]=>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]=>2 [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]=>1 [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]=>1 [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]=>2 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>2 [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]=>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]=>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]=>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]=>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]=>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]=>2 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>2 [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]=>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]=>2 [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]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [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]=>2 [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]=>2 [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]=>2 [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]=>2 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>2 [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]=>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]=>2 [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]=>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]=>2 [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]=>2 [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]=>2 [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]=>2 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>2 [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]=>2 [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]=>2 [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]=>2 [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]=>2 [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]=>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]=>2 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>3 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [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]=>3 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>3 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>3 [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]=>1 [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]=>1 [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]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [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]=>2 [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]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>1 [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]=>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]=>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]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1 [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]=>2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [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]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [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]=>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]=>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]=>2 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>2 [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]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1 [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]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [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]=>1 [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]=>2 [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]=>1 [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]=>1 [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]=>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]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1 [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]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1 [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]=>2 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2 [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]=>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]=>1 [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]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1 [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]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1 [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]=>2 [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]=>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]=>2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [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]=>2 [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]=>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]=>2 [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]=>2 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [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]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [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]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [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]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1 [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]=>1 [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]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1 [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]=>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]=>1 [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]=>1 [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]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [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]=>2 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [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]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1 [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]=>1 [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]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>1 [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]=>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]=>2 [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]=>1 [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]=>1 [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]=>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]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1 [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]=>2 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1 [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]=>2 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>2 [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]=>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]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1 [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]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>1 [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]=>2 [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]=>2 [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]=>2 [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]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>2 [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]=>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]=>2 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>2 [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]=>2 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [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]=>1 [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]=>1 [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]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>1 [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]=>2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1 [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]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>1 [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]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1 [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]=>2 [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]=>1 [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]=>1 [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]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>2 [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]=>2 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2 [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]=>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]=>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]=>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]=>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]=>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]=>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]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>2 [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]=>2 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>3 [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]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>2 [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]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>2 [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]=>2 [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 [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]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>2 [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]=>2 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2 [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]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2 [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]=>2 [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]=>2 [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]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>2 [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]=>3 [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]=>2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [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]=>2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>2 [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]=>2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>2 [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]=>2 [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]=>2 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>3 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>3 [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]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [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]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1 [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]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1 [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]=>1 [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]=>1 [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]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>2 [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]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [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]=>1 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1 [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]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>2 [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]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [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]=>1 [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]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2 [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]=>1 [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]=>1 [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]=>2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [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]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2 [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]=>2 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>2 [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]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>2 [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]=>3 [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]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [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]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [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]=>2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>1
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Description
The height of the bicoloured Motzkin path associated with the Dyck path.
Code
def statistic(D):
    h = 0
    H = 0
    for i in range(D.semilength()):
        s = D[2*i], D[2*i+1]
        if s == (1,1):
            h +=1
        elif s == (0,0):
            h -=1
        H = max(h, H)
    return H
Created
Nov 05, 2017 at 23:27 by Martin Rubey
Updated
Nov 05, 2017 at 23:27 by Martin Rubey