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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]=>0 [1,1,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,0]=>0 [1,1,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,0]=>1 [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]=>0 [1,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0]=>0 [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]=>2 [1,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,1,0,0,0,1,0]=>0 [1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,0]=>0 [1,1,0,1,1,1,0,0,0,0]=>0 [1,1,1,0,0,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,1,0,0]=>0 [1,1,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,0,0]=>0 [1,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,1,1,0,0,0,0,1,0]=>0 [1,1,1,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,0]=>0 [1,1,1,1,0,1,0,0,0,0]=>1 [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]=>0 [1,0,1,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,0,1,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,0,1,1,0,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [1,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,0,1,0]=>0 [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]=>0 [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]=>2 [1,0,1,1,0,1,0,1,0,1,0,0]=>3 [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]=>0 [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]=>0 [1,0,1,1,0,1,1,1,0,0,0,0]=>0 [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]=>0 [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]=>2 [1,0,1,1,1,0,0,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [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]=>1 [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]=>1 [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]=>0 [1,1,0,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,0,1,1,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,1,1,0,0,0,0]=>0 [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]=>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]=>2 [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]=>3 [1,1,0,1,0,1,0,1,0,1,0,0]=>4 [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]=>1 [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]=>0 [1,1,0,1,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,1,0,1,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [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]=>0 [1,1,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>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]=>2 [1,1,1,0,0,1,0,1,0,1,0,0]=>3 [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]=>0 [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]=>0 [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]=>0 [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]=>2 [1,1,1,0,1,0,0,1,1,0,0,0]=>0 [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]=>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]=>0 [1,1,1,0,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,1,1,1,0,0,0,1,0,0,1,0]=>1 [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]=>0 [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]=>1 [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]=>0 [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]=>2 [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]=>2 [1,1,1,1,0,1,1,0,0,0,0,0]=>0 [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]=>1 [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]=>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]=>0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>0 [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]=>0 [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]=>2 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>3 [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]=>0 [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]=>0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0 [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]=>0 [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]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [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]=>1 [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]=>1 [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]=>0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0 [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]=>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]=>2 [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]=>3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>4 [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]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [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]=>0 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>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]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [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]=>0 [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]=>0 [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]=>0 [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]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1 [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]=>0 [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]=>1 [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]=>0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>0 [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]=>1 [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]=>1 [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]=>0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>0 [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]=>0 [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]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>3 [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]=>0 [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]=>0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [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]=>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]=>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]=>2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>3 [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]=>2 [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]=>2 [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]=>3 [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]=>3 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [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]=>3 [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]=>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]=>2 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>3 [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]=>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]=>1 [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]=>2 [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]=>2 [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]=>0 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>0 [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]=>2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>3 [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]=>0 [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]=>0 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>0 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>0 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>0 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>0 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>0 [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]=>2 [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]=>2 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0 [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]=>0 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>0 [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]=>1 [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]=>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]=>2 [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]=>2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>4 [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]=>1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>2 [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]=>1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>0 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>0 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>0 [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]=>1 [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]=>1 [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]=>0 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>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]=>2 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [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]=>0 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>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]=>0 [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]=>2 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>0 [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]=>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]=>0 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>0 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>0 [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]=>2 [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]=>2 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>0 [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]=>1 [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]=>1 [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]=>0 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>0 [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]=>1 [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]=>2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>3 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1 [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]=>0 [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]=>1 [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]=>0 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>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]=>1 [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]=>3 [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]=>3 [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]=>0 [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]=>0 [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]=>0 [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]=>0 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1 [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]=>0 [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]=>1 [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]=>0 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1 [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]=>1 [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]=>0 [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]=>1 [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]=>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]=>0 [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]=>1 [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]=>1 [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]=>1 [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]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>0 [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]=>0 [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]=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>3 [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]=>0 [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]=>0 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0 [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]=>0 [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]=>2 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [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]=>1 [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]=>1 [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]=>0 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0 [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]=>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]=>2 [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]=>3 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>4 [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]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [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]=>0 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>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]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [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]=>0 [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]=>0 [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]=>0 [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]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1 [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]=>0 [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]=>1 [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]=>0 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>0 [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]=>1 [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]=>1 [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]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>0 [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]=>0 [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]=>2 [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]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [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]=>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]=>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]=>2 [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]=>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]=>2 [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]=>2 [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]=>3 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>3 [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]=>4 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [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]=>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]=>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]=>2 [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]=>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]=>2 [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]=>1 [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]=>2 [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]=>2 [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]=>0 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>0 [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]=>2 [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]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>0 [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]=>2 [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]=>2 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0 [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]=>0 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>0 [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]=>1 [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]=>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]=>2 [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]=>2 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>2 [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]=>2 [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]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>0 [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]=>1 [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]=>1 [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]=>0 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>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]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [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]=>0 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>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]=>0 [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]=>2 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>0 [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]=>2 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>0 [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]=>2 [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]=>2 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>0 [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]=>1 [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]=>1 [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]=>0 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>0 [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]=>1 [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]=>2 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1 [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]=>0 [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]=>1 [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]=>0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>1 [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]=>2 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>3 [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]=>1 [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]=>1 [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]=>2 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>3 [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]=>3 [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]=>0 [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]=>0 [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]=>0 [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]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1 [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]=>0 [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]=>1 [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]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>1 [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]=>1 [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]=>0 [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]=>1 [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]=>1 [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]=>0 [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]=>1 [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]=>1 [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]=>1 [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]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>0 [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]=>0 [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]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>3 [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]=>0 [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]=>0 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0 [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]=>2 [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]=>2 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2 [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]=>4 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2 [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]=>2 [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]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>0 [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]=>2 [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]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>0 [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]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>0 [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]=>2 [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]=>2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0 [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]=>0 [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]=>0 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [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]=>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]=>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]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>3 [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]=>2 [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
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Description
The number of 1-rises at odd height of a Dyck path.
References
[1] Sapounakis, A., Tasoulas, I., Tsikouras, P. Counting strings in Dyck paths MathSciNet:2371066
Code
def statistic(D):
    H = D.heights()
    res = 0
    for i in range(len(H)-2):
        if is_odd(H[i]) and H[i-1] > H[i] < H[i+1] > H[i+2]:
            res += 1
    return res

Created
Apr 28, 2018 at 18:50 by Martin Rubey
Updated
Apr 28, 2018 at 18:50 by Martin Rubey