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Identifier
Values
=>
Cc0005;cc-rep
[]=>0 [1,0]=>1 [1,0,1,0]=>1 [1,1,0,0]=>2 [1,0,1,0,1,0]=>1 [1,0,1,1,0,0]=>2 [1,1,0,0,1,0]=>2 [1,1,0,1,0,0]=>2 [1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,0]=>3 [1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0]=>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]=>2 [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]=>2 [1,0,1,1,0,1,0,1,1,0,0,0]=>3 [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]=>3 [1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,0]=>3 [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]=>3 [1,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0]=>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]=>3 [1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,0,0]=>3 [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]=>2 [1,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0,1,0]=>3 [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]=>3 [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]=>3 [1,1,0,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,0]=>3 [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]=>3 [1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,0]=>3 [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]=>3 [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]=>3 [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]=>3 [1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>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]=>2 [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]=>2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>3 [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]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3 [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]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3 [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]=>4 [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]=>2 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>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]=>2 [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]=>2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3 [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]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>4 [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]=>3 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>3 [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]=>3 [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]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>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]=>3 [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]=>3 [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]=>3 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3 [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]=>4 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>3 [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]=>3 [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]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>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]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3 [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]=>3 [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]=>3 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>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]=>3 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [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]=>2 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2 [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]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [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]=>3 [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]=>3 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>3 [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]=>3 [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]=>3 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>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]=>3 [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]=>3 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>3 [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]=>3 [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]=>3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [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]=>3 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>3 [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]=>3 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>3 [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]=>3 [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]=>3 [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]=>3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3 [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]=>3 [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]=>3 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3 [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]=>3 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>3 [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]=>3 [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]=>3 [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]=>3 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>5 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>5 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>5 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>5 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>5 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>5 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>5 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>5 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>6 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>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]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>6 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>6 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>6 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>6 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [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]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [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]=>3 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>5 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>5 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>6 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>5 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>5 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>5 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>5 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>6 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>6 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>6 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>6 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>6 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>5 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>5 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>5 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>5 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>5 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>5 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>5 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>5 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>5 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>6 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>6 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>6 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>6 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>5 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>5 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>6 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>6 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>6 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>6 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>5 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>5 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>5 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>5 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>5 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>5 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>5 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>5 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>5 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>5 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>6 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>6 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>6 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>6 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>6 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>6 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>6 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>6 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>6 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>6 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>6 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>7 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>7 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>8 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>7 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>7 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>7 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0]=>6 [1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>6 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>7 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>7 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>5 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>7 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>7 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>6 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>6 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>6 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>6 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,1,0]=>6 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>5 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>5 [1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>6 [1,1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>7 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>7 [1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>7 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>7 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>6 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>7 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0]=>6 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>7 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,0]=>6 [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>7 [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>7 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>6 [1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>7 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>7 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>7 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>7 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>7 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>5 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>5 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>6 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>4 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>6 [1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0]=>5 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>6 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0]=>5 [1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>5 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>5 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>9 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>8 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>8 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>8 [1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>7 [1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>8 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>8 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>8 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>7 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>7 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>6 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>7 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>7 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>2 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>6 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>9 [1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>8 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>9 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>9 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>9 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>9 [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>9 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>9 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>7 [1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>7 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>8 [1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>8 [1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>8 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0]=>7 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>10 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>9 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>9 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0]=>9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>10 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>10 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>10 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0]=>9 [1,1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>11 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>9 [1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>8 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>8 [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0]=>8 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>11 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>6 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>6 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>6 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>6 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>6 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>6 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>6 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>6 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>6 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>6 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>6 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>6 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>6 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>6 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>6 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>6 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>6 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>6 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>6 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>6 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>6 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>6 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>6 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>6 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>6 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>6 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>11 [1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>11 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>10 [1,0,1,0,1,0,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>12 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0]=>11 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>7 [1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>13 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>10 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>14 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]=>15 [1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]=>10 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>13 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0]=>12 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>15 [1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]=>16 [1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0]=>10 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]=>24
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Description
The height of a Dyck path.
The height of a Dyck path $D$ of semilength $n$ is defined as the maximal height of a peak of $D$. The height of $D$ at position $i$ is the number of up-steps minus the number of down-steps before position $i$.
Code
def statistic(x):
    return x.height()
Created
Sep 27, 2011 at 19:30 by Chris Berg
Updated
Feb 13, 2024 at 15:15 by Martin Rubey